diff --git "a/2023\345\271\264\344\270\255\351\227\262\350\201\212/index.html" "b/2023\345\271\264\344\270\255\351\227\262\350\201\212/index.html" index 29c57b3..c255019 100644 --- "a/2023\345\271\264\344\270\255\351\227\262\350\201\212/index.html" +++ "b/2023\345\271\264\344\270\255\351\227\262\350\201\212/index.html" @@ -1,786 +1,208 @@ - - - - - - - - - 2023年中闲聊 + + + - - - - - - - - - - - - - - - - - - - - - + 2023年中闲聊 | HawYiorのBlog + + + + + - - - + - - - + - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - + + - -
- - - - - -
-
-
- -
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+

2023年中闲聊

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+ -
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-
- - 目录 -
+ -
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- - - - - -
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- -
- -
- HelloWorld thumbnail -
- -
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+

HelloWorld

-
- -
+ -
-
- - -
-
- - 目录 -
+ -
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- - - - - - - - - - - - - - - - - - - - - - + + + - - - - - - + + + + + + + + + + + + + - - - - - - - - - - - - - - - - - + + + + + \ No newline at end of file diff --git a/about/index.html b/about/index.html index c58ec04..4132e7c 100644 --- a/about/index.html +++ b/about/index.html @@ -1,881 +1,176 @@ - - - - - - - - - 关于 - - - - - - - - - - - - + + + - - - + 关于 | HawYiorのBlog + + + + + - + - - - + + - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - + - -
- - - - - -
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- Blog Author Avatar +

+ 关于 +

-
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HawYior
- -
嘻嘻
+ + -
- - -
- - - -
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- - - -
- +
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-

基础信息

+

基础信息

福州大学环境工程本科在读

-

技能:CET4/6、Java、C/C++、Python、PyTorch、Mybatis、SpringBoot、Vue、Uniapp、Mysql

-

项目经历

+

技能CET4/6JavaC/C++PythonPyTorchMybatisSpringBootVueUniappMysql

+

项目经历

[2023.04-2023.06] 福建乡村本地招聘信息工具——闽易聘[Link]

[2023.09-NOW] 面向智慧城市的群智感知平台[Link]

[TODO]

-

校园经历

+

校园经历

[2021.09-2022.06] 担任福州大学环境与安全工程学院网络宣传部门成员

[2023.07-NOW] 福州大学人机共融智能课题组开发组成员

[TODO]

-

荣誉奖项

+

荣誉奖项

[2023.4] 福州大学2022~2023学年上学期精神文明建设奖

[2023.10] 第六届传智杯全国IT技能大赛优秀志愿者

[TO DO]

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- - - - - - - - - - - - - - - - - - - - - - - - - - + + - - + + + + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/algorithm-1.3/index.html b/algorithm-1.3/index.html index 25e52f9..d10568c 100644 --- a/algorithm-1.3/index.html +++ b/algorithm-1.3/index.html @@ -1,513 +1,98 @@ - - - - - - - - - 算法基础课1-3(杂乱) + + + - - - - - - - - - - - - - - - - - - - - - + 算法基础课1-3(杂乱) | HawYiorのBlog + + + + + - - - + - - - + - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - + + - -
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+

算法基础课1-3(杂乱)

-
- - - -
-

双指针算法

+
+

目录

+
  1. 1. 双指针算法
  2. 2. 位运算
  3. 3. 离散化
  4. 4. 区间合并
+
+ +
+ +

双指针算法

    -
  • 两个序列,两个指针
  • -
  • 一个序列,两个指针
  • +
  • 两个序列两个指针
  • +
  • 一个序列两个指针

结构

for(int i=0,j=0;i<n;i++){
@@ -515,13 +100,13 @@ 

//每道题具体的逻辑 }

核心思想

-

复杂度由O(n2)O(n^2)优化到O(n)O(n)

-

先想出朴素做法,寻找i与j之间的关系,是否有单调性,进行双指针优化

-

位运算

+

复杂度由$O(n^2)$优化到$O(n)$

+

先想出朴素做法寻找i与j之间的关系是否有单调性进行双指针优化

+

位运算

  • n的二进制表示中第k位数字是几
-

(k从个位开始算0,1,2…)

+

k从个位开始算0,1,2…

  1. 先把第k位移到最后一位n>>k
  2. 看个位是几 x&1
  3. @@ -530,14 +115,14 @@

    位运算
    • lowbit(x)
    -

    ​ 树状数组基本操作,返回x的最后一位1

    +

    ​ 树状数组基本操作返回x的最后一位1

    x&(-x)

    -

    ​ 原理:-x=(~x+1)

    -

    离散化

    +

    ​ 原理-x=(~x+1)

    +

    离散化

    这里特指整数离散化

    -

    值域大个数少的数组映射到0,1…n的自然数

    -

    ①数组中可能有重复元素,需要去重

    -

    ②如何求出xx离散化后的值->二分

    +

    值域大个数少的数组映射到0,1…n的自然数

    +

    ①数组中可能有重复元素需要去重

    +

    ②如何求出$x$离散化后的值->二分

    C++模版

    vector<int> alls; // 存储所有待离散化的值
     sort(alls.begin(), alls.end()); // 将所有值排序
    @@ -555,10 +140,10 @@ 

    离散化 } return r + 1; // 映射到1, 2, ...n }

    -

    由于Java中没有uniqueunique方法,其中排序与去重的具体实现如下

    +

    由于Java中没有$unique$方法其中排序与去重的具体实现如下

    // 去重 + 排序  
     List<Integer> distinctSorterAlls = alls.stream().distinct().sorted()  .collect(Collectors.toList());  
    -

    区间合并

    +

    区间合并

    • 按照区间左端点排序

      @@ -568,7 +153,7 @@

      • 相交
          -
        • 更新右端点为两个区间的maxmax
        • +
        • 更新右端点为两个区间的$max$
      • 不相交 @@ -601,276 +186,113 @@

        区 segs = res; } -

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+

算法基础数据结构

-
- - - -
-

链表与邻接表

-

由于用结构体+指针比较慢,一般在面试题使用,在这里使用数组模拟链表

+
+

目录

+
  1. 1. 链表与邻接表
  2. 2.
  3. 3. 队列
  4. 4. 单调栈
  5. 5. 单调队列
  6. 6. KMP
  7. 7. Trie树
  8. 8. 并查集
  9. 9.
  10. 10. heap[k] = x;down[k];up[k]
  11. 11. 哈希表
    1. 11.1. 存储结构
    2. 11.2. 字符串哈希
  12. 12. C++ STL
+
+ +
+ +

链表与邻接表

+

由于用结构体+指针比较慢一般在面试题使用在这里使用数组模拟链表

  • 单链表
-

e[N]:储存链表结点的值

-

ne[N]:储存结点的下一个结点下标,其中空结点下标为-1

-
// head存储链表头,e[]存储节点的值,ne[]存储节点的next指针,idx表示当前用到了哪个节点
+

e[N]储存链表结点的值

+

ne[N]储存结点的下一个结点下标其中空结点下标为-1

+
// head存储链表头e[]存储节点的值ne[]存储节点的next指针idx表示当前用到了哪个节点
 int head, e[N], ne[N], idx;
 
 // 初始化
@@ -533,7 +118,7 @@ 

[idx] = a, ne[idx] = ne[k], ne[k] = idx ++ ; } -// 将头结点删除,需要保证头结点存在 +// 将头结点删除需要保证头结点存在 void remove() { head = ne[head]; @@ -547,14 +132,14 @@

// e[]表示节点的值,l[]表示节点的左指针,r[]表示节点的右指针,idx表示当前用到了哪个节点 +

作用优化某些问题

+
// e[]表示节点的值l[]表示节点的左指针r[]表示节点的右指针idx表示当前用到了哪个节点
 int e[N], l[N], r[N], idx;
 
 // 初始化
 void init()
 {
-    //0是左端点,1是右端点
+    //0是左端点1是右端点
     r[0] = 1, l[1] = 0;
     idx = 2;
 }
@@ -576,8 +161,8 @@ 

+

N个单链表用于存储树和图

+

先进后出(FILO)

// tt表示栈顶
 int stk[N], tt = 0;
@@ -591,7 +176,7 @@ 

// 栈顶的值 stk[tt]; -// 判断栈是否为空,如果 tt > 0,则表示不为空 +// 判断栈是否为空如果 tt > 0则表示不为空 if (tt > 0) { not empty @@ -599,9 +184,9 @@

{ empty }
-

队列

+

队列

先进先出(FIFO)

-
// hh 表示队头,tt表示队尾
+
// hh 表示队头tt表示队尾
 int q[N], hh = 0, tt = -1;
 
 // 向队尾插入一个数
@@ -613,13 +198,13 @@ 

队列

// 队头的值 q[hh]; -// 判断队列是否为空,如果 hh <= tt,则表示不为空 +// 判断队列是否为空如果 hh <= tt则表示不为空 if (hh <= tt) { }

循环队列

-
// hh 表示队头,tt表示队尾的后一个位置
+
// hh 表示队头tt表示队尾的后一个位置
 int q[N], hh = 0, tt = 0;
 
 // 向队尾插入一个数
@@ -633,21 +218,21 @@ 

队列

// 队头的值 q[hh]; -// 判断队列是否为空,如果hh != tt,则表示不为空 +// 判断队列是否为空如果hh != tt则表示不为空 if (hh != tt) { }
-

单调栈

-

题型:求给定序列每一个数左/右边离他最近的比他大/小的数

+

单调栈

+

题型求给定序列每一个数左/右边离他最近的比他大/小的数

int tt = 0;
 for (int i = 1; i <= n; i ++ )
 {
     while (tt && check(stk[tt], i)) tt -- ;
     stk[ ++ tt] = i;
 }
-

单调队列

-

题型:求滑动窗口的最大/小值

+

单调队列

+

题型求滑动窗口的最大/小值

int hh = 0, tt = -1;
 for (int i = 0; i < n; i ++ )
 {
@@ -655,10 +240,10 @@ 

while (hh <= tt && check(q[tt], i)) tt -- ; q[ ++ tt] = i; }

-

KMP

-

对于字符串ss,判断是否包含模式串tt

-
// s[]是长文本,p[]是模式串,n是s的长度,m是p的长度
-//求模式串的Next数组:
+

KMP

+

对于字符串$s$,判断是否包含模式串$t$

+
// s[]是长文本p[]是模式串n是s的长度m是p的长度
+//求模式串的Next数组
 for (int i = 2, j = 0; i <= m; i ++ )
 {
     while (j && p[i] != p[j + 1]) j = ne[j];
@@ -677,10 +262,10 @@ 

KMP

// 匹配成功后的逻辑 } }
-

Trie树

+

Trie树

快速存储和查找字符串集合的数据结构

int son[N][26], cnt[N], idx;
-// 0号点既是根节点,又是空节点
+// 0号点既是根节点又是空节点
 // son[][]存储树中每个节点的子节点
 // cnt[]存储以每个节点结尾的单词数量
 
@@ -711,27 +296,27 @@ 

Trie树

}

最大异或对

前缀统计

-

并查集

+

并查集

  1. 将两个集合合并
  2. 询问两个元素是否在一个集合当中
-

近乎O(1)O(1)

-

基本原理:每一个集合用一棵树表示,树根的编号就是整个集合的编号。每个节点存储它的父节点p[x]p[x]表示xx的父节点

+

近乎$O(1)$

+

基本原理每一个集合用一棵树表示树根的编号就是整个集合的编号每个节点存储它的父节点$p[x]$表示$x$的父节点

    -
  • 如何判断是树根?
  • +
  • 如何判断是树根
-

p[x]=xp[x] = x

+

$p[x] = x$

    -
  • 如何求xx的集合编号
  • +
  • 如何求$x$的集合编号
while(p[x]!=x) x = p[x]
  • 如何合并两个区间
-

设p[x]为x集合编号,p[y]是y集合编号。p[x]=y

-

优化:路径压缩,先搜索一遍,再将节点的父节点直接指向树根

-
(1)朴素并查集:
+

设p[x]为x集合编号p[y]是y集合编号p[x]=y

+

优化路径压缩先搜索一遍再将节点的父节点直接指向树根

+
(1)朴素并查集
 
     int p[N]; //存储每个点的祖宗节点
 
@@ -742,17 +327,17 @@ 

并查集 return p[x]; } - // 初始化,假定节点编号是1~n + // 初始化假定节点编号是1~n for (int i = 1; i <= n; i ++ ) p[i] = i; - // 合并a和b所在的两个集合: + // 合并a和b所在的两个集合 p[find(a)] = find(b); -(2)维护size的并查集: +(2)维护size的并查集 int p[N], size[N]; - //p[]存储每个点的祖宗节点, size[]只有祖宗节点的有意义,表示祖宗节点所在集合中的点的数量 + //p[]存储每个点的祖宗节点, size[]只有祖宗节点的有意义表示祖宗节点所在集合中的点的数量 // 返回x的祖宗节点 int find(int x) @@ -761,19 +346,19 @@

并查集 return p[x]; } - // 初始化,假定节点编号是1~n + // 初始化假定节点编号是1~n for (int i = 1; i <= n; i ++ ) { p[i] = i; size[i] = 1; } - // 合并a和b所在的两个集合: + // 合并a和b所在的两个集合 size[find(b)] += size[find(a)]; p[find(a)] = find(b); -(3)维护到祖宗节点距离的并查集: +(3)维护到祖宗节点距离的并查集 int p[N], d[N]; //p[]存储每个点的祖宗节点, d[x]存储x到p[x]的距离 @@ -790,21 +375,21 @@

并查集 return p[x]; } - // 初始化,假定节点编号是1~n + // 初始化假定节点编号是1~n for (int i = 1; i <= n; i ++ ) { p[i] = i; d[i] = 0; } - // 合并a和b所在的两个集合: + // 合并a和b所在的两个集合 p[find(a)] = find(b); - d[find(a)] = distance; // 根据具体问题,初始化find(a)的偏移量

-

【模版】并查集

+ d[find(a)] = distance; // 根据具体问题初始化find(a)的偏移量
+

模版并查集

食物链

并查集题单

-

-

如何手写一个堆?

+

+

如何手写一个堆

  1. 插入一个数
  2. 求集合中的最小值
  3. @@ -814,21 +399,20 @@

STL自带堆没有实现

是一个完全二叉树

-

小根堆:根小于等于左右孩子的值

-

存储:一维数组,对于ii,左孩子2i2i,右孩子2i+12i+1

-

借助down(x)down(x)up(x)up(x)函数实现上述五种操作

+

小根堆根小于等于左右孩子的值

+

存储一维数组对于$i$左孩子$2i$右孩子$2i+1$

+

借助$down(x)$$up(x)$函数实现上述五种操作

heap[++size] = x;up(size);
heap[1]
heap[1] = heap[size];size--;down(1);
heap[k] = heap[size];size--;down(k);up(k);
-
heap[k] = x;down[k];up[k]
-
-
// h[N]存储堆中的值, h[1]是堆顶,x的左儿子是2x, 右儿子是2x + 1
+

heap[k] = x;down[k];up[k]

+
// h[N]存储堆中的值, h[1]是堆顶x的左儿子是2x, 右儿子是2x + 1
 // ph[k]存储第k个插入的点在堆中的位置
 // hp[k]存储堆中下标是k的点是第几个插入的
 int h[N], ph[N], hp[N], size;
 
-// 交换两个点,及其映射关系
+// 交换两个点及其映射关系
 void heap_swap(int a, int b)
 {
     swap(ph[hp[a]],ph[hp[b]]);
@@ -859,18 +443,18 @@ 

// O(n)建堆 for (int i = n / 2; i; i -- ) down(i);
-

包含映射的堆不常用,在dijkstra算法中应用

-

哈希表

-

存储结构

-

O(1)O(1)将大范围数映射到小范围值域(离散化是特殊的hash方式)

+

包含映射的堆不常用在dijkstra算法中应用

+

哈希表

+

存储结构

+

$O(1)$将大范围数映射到小范围值域离散化是特殊的hash方式

    -
  • xmod rangex\mod\ range
  • +
  • $x\mod\ range$
  • 处理冲突
  1. 拉链法
-

创建一维数组存储所有哈希值,若不同元素对应同一个哈希值,则在该值拉链下来(链表)

+

创建一维数组存储所有哈希值若不同元素对应同一个哈希值则在该值拉链下来(链表)

int h[N], e[N], ne[N], idx;
 
     // 向哈希表中插入一个数
@@ -895,11 +479,11 @@ 

  1. 开放寻址法
-

只开辟一个一维数组,经验长度为题目范围的2-3倍

-

若应该放入的位置已经有元素,则寻找下一个可以存入的位置

+

只开辟一个一维数组经验长度为题目范围的2-3倍

+

若应该放入的位置已经有元素则寻找下一个可以存入的位置

int h[N];
 
-   // 如果x在哈希表中,返回x的下标;如果x不在哈希表中,返回x应该插入的位置
+   // 如果x在哈希表中返回x的下标如果x不在哈希表中返回x应该插入的位置
    int find(int x)
    {
        int t = (x % N + N) % N;
@@ -910,10 +494,10 @@ 

} return t; }

-

其中null=0x3f3f3f3fnull = 0x3f3f3f3f

-

字符串哈希

-

将字符串看成P进制数,P的经验值是131或13331,取这两个值的冲突概率低
-小技巧:取模的数用2^64,这样直接用unsigned long long存储,溢出的结果就是取模的结果

+

其中$null = 0x3f3f3f3f$

+

字符串哈希

+

将字符串看成P进制数P的经验值是131或13331取这两个值的冲突概率低
+小技巧取模的数用2^64这样直接用unsigned long long存储溢出的结果就是取模的结果

typedef unsigned long long ULL;
 ULL h[N], p[N]; // h[k]存储字符串前k个字母的哈希值, p[k]存储 P^k mod 2^64
 
@@ -921,7 +505,7 @@ 

[0] = 1; for (int i = 1; i <= n; i ++ ) { - h[i] = h[i - 1] * P + str[i]; //前面的值的指数阶都加一,所以要乘以P + h[i] = h[i - 1] * P + str[i]; //前面的值的指数阶都加一所以要乘以P p[i] = p[i - 1] * P; } @@ -930,8 +514,8 @@

{ return h[r] - h[l - 1] * p[r - l + 1]; }

-

C++ STL

-
vector, 变长数组,倍增的思想
+

C++ STL

+
vector, 变长数组倍增的思想
     size()  返回元素个数
     empty()  返回是否为空
     clear()  清空
@@ -939,18 +523,18 @@ 

C++ STL

push_back()/pop_back() begin()/end() [] - 支持比较运算,按字典序 + 支持比较运算按字典序 pair<int, int> first, 第一个元素 second, 第二个元素 - 支持比较运算,以first为第一关键字,以second为第二关键字(字典序) + 支持比较运算以first为第一关键字以second为第二关键字字典序 -string,字符串 +string字符串 size()/length() 返回字符串长度 empty() clear() - substr(起始下标,(子串长度)) 返回子串 + substr(起始下标(子串长度)) 返回子串 c_str() 返回字符串所在字符数组的起始地址 queue, 队列 @@ -961,13 +545,13 @@

C++ STL

back() 返回队尾元素 pop() 弹出队头元素 -priority_queue, 优先队列,默认是大根堆 +priority_queue, 优先队列默认是大根堆 size() empty() push() 插入一个元素 top() 返回堆顶元素 pop() 弹出堆顶元素 - 定义成小根堆的方式:priority_queue<int, vector<int>, greater<int>> q; + 定义成小根堆的方式priority_queue<int, vector<int>, greater<int>> q; stack,size() @@ -986,20 +570,20 @@

C++ STL

begin()/end() [] -set, map, multiset, multimap, 基于平衡二叉树(红黑树),动态维护有序序列 +set, map, multiset, multimap, 基于平衡二叉树红黑树动态维护有序序列 size() empty() clear() begin()/end() - ++, -- 返回前驱和后继,时间复杂度 O(logn) + ++, -- 返回前驱和后继时间复杂度 O(logn) set/multiset insert() 插入一个数 find() 查找一个数 count() 返回某一个数的个数 erase() - (1) 输入是一个数x,删除所有x O(k + logn) - (2) 输入一个迭代器,删除这个迭代器 + (1) 输入是一个数x删除所有x O(k + logn) + (2) 输入一个迭代器删除这个迭代器 lower_bound()/upper_bound() lower_bound(x) 返回大于等于x的最小的数的迭代器 upper_bound(x) 返回大于x的最小的数的迭代器 @@ -1007,12 +591,12 @@

C++ STL

insert() 插入的数是一个pair erase() 输入的参数是pair或者迭代器 find() - [] 注意multimap不支持此操作。 时间复杂度是 O(logn) + [] 注意multimap不支持此操作 时间复杂度是 O(logn) lower_bound()/upper_bound() unordered_set, unordered_map, unordered_multiset, unordered_multimap, 哈希表 - 和上面类似,增删改查的时间复杂度是 O(1) - 不支持 lower_bound()/upper_bound(), 迭代器的++-- + 和上面类似增删改查的时间复杂度是 O(1) + 不支持 lower_bound()/upper_bound() 迭代器的++-- bitset, 圧位 bitset<10000> s; @@ -1032,276 +616,113 @@

C++ STL

flip() 等价于~ flip(k) 把第k位取反
-

-
- -
-
- -
- - - - -
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-
- - - - - - - - - - - - - - - - - - - - - - - +
+ +
+ +
+
+ + - - - - - - + + + + + + + + + + + + + - - - - - - - - - - - - - - - - - + + + + + \ No newline at end of file diff --git a/algorithm-dp/index.html b/algorithm-dp/index.html index a386196..f443fe8 100644 --- a/algorithm-dp/index.html +++ b/algorithm-dp/index.html @@ -1,515 +1,100 @@ - - - - - - - - - dp问题合集 + + + - - - - - - - - - - - - - - - - - - - - - + dp问题合集 | HawYiorのBlog + + + + + - - - + - - - + - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - + + - -
- - - - - -
-
-
- -
- -
-
-

+

dp问题合集

-
- - - -
-

动态规划

+
+

目录

+
  1. 1. 动态规划
  2. 2. 线性DP
  3. 3. 区间DP
  4. 4. 计数类DP
  5. 5. 数位统计DP
  6. 6. 状态压缩DP
  7. 7. 树形DP
  8. 8. 记忆化搜索
  9. 9. 杂题
+
+ +
+ +

动态规划

    -
  • 状态表示f[i,j]f[i,j] +
  • 状态表示$f[i,j]$
    • 集合
    • -
    • 属性(Max,Min,Cnt)
    • +
    • 属性MaxMinCnt
  • 状态计算 @@ -518,45 +103,45 @@

-

线性DP

+

线性DP

数字三角形

-

O(n2)O(n^2)

-

f[i,j]f[i,j]表示到坐标为[i,j][i,j]的路径的和最大值

-

f[1][1]=a[1][1]f[1][1] = a[1][1]

-

f[i][j]=max(f[i1][j1]+a[i][j],f[i1][j]+a[i][j])f[i][j] = max(f[i-1][j-1]+a[i][j], f[i-1][j]+a[i][j])

+

$O(n^2)$

+

$f[i,j]$表示到坐标为$[i,j]$的路径的和最大值

+

$f[1][1] = a[1][1]$

+

$f[i][j] = max(f[i-1][j-1]+a[i][j], f[i-1][j]+a[i][j])$

最长上升子序列

-

朴素O(n2)O(n^2)

-

f[i]f[i]表示以第ii个数结尾的序列中上升子序列长度的最大值

-

遍历aia_i所有可能的前一个数aja_j(aj<aia_j<a_i0ji10 \le j \le i-1)

-

f[i]=max(f[j]+1,f[i]),j[0,i1]f[i] = max(f[j]+1,f[i]),j \in [0,i-1]

-

如果要保存最长序列:g[i]g[i]保存从哪一步jj转移过来

-

代码:https://www.luogu.com.cn/record/124595657

-

优化O(nlogn)O(nlogn)

+

朴素$O(n^2)$

+

$f[i]$表示以第$i$个数结尾的序列中上升子序列长度的最大值

+

遍历$a_i$所有可能的前一个数$a_j$($a_j<a_i$$0 \le j \le i-1$)

+

$f[i] = max(f[j]+1,f[i]),j \in [0,i-1]$

+

如果要保存最长序列$g[i]$保存从哪一步$j$转移过来

+

代码https://www.luogu.com.cn/record/124595657

+

优化$O(nlogn)$

用一个q数组储存长度为i的序列的结尾数字的最小值

-

可以证明qi>qi1>...>q2>q1q_i>q_{i-1}>...>q_2>q_1,即数组严格单调递增

-

对于aia_i,二分找到最大的qk<=aiq_k<=a_if[i]=k+1f[i] = k+1,更新qk=aiq_k = a_i

-

代码:https://www.luogu.com.cn/record/133704642

+

可以证明$q_i>q_{i-1}>...>q_2>q_1$即数组严格单调递增

+

对于$a_i$二分找到最大的$q_k<=a_i$$f[i] = k+1$更新$q_k = a_i$

+

代码https://www.luogu.com.cn/record/133704642

最长公共子序列

-

朴素O(n2)O(n^2)

-

f[i][j]f[i][j]表示所有在第一个序列的前i个字母中出现,且在第二个序列的前j个字母中出现的子序列的最大值

-

集合划分依据:是否选择a[i],b[j]a[i],b[j]

-

分为四个集合:选择a[i],b[j]a[i],b[j] ; 选择a[i]a[i] 不选择b[j]b[j] ; 不选择a[j]a[j]选择b[j]b[j] ; 都不选择a[i],b[j]a[i],b[j]

-

分别表示为 f[i1][j1],f[i,j1],f[i1][j],f[i1][j1]+1f[i-1][j-1] , f[i,j-1] , f[i-1][j] , f[i-1][j-1]+1

-

其中第二三种情况包含上面对应的集合(由于是求Max,所以有重复不影响结果)

-

且第二三种集合也包含第一个集合,所以只要对后三种集合求最大值即可

-

f[i,j]=max(f[i1,j],f[i,j1])f[i,j] = max(f[i-1,j],f[i,j-1])

-

a[i]==b[j]a[i]==b[j]时,f[i,j]=max(f[i,j],f[i1,j1]+1)f[i,j] = max(f[i,j],f[i-1,j-1]+1)

-

优化O(nlogn)O(nlogn)

+

朴素$O(n^2)$

+

$f[i][j]$表示所有在第一个序列的前i个字母中出现且在第二个序列的前j个字母中出现的子序列的最大值

+

集合划分依据是否选择$a[i],b[j]$

+

分为四个集合选择$a[i],b[j]$ ; 选择$a[i]$ 不选择$b[j]$ ; 不选择$a[j]$选择$b[j]$ ; 都不选择$a[i],b[j]$

+

分别表示为 $f[i-1][j-1] , f[i,j-1] , f[i-1][j] , f[i-1][j-1]+1$

+

其中第二三种情况包含上面对应的集合由于是求Max所以有重复不影响结果

+

且第二三种集合也包含第一个集合所以只要对后三种集合求最大值即可

+

$f[i,j] = max(f[i-1,j],f[i,j-1])$

+

$a[i]==b[j]$时,$f[i,j] = max(f[i,j],f[i-1,j-1]+1)$

+

优化$O(nlogn)$

编辑距离

-

f[i,j]f[i,j]所有将a[1i]a[1-i]变成b[1j]b[1-j]的操作方式的最小步数

-

区间划分,①删除最后一个数、②增加最后一个数、③修改最后一个数

-

f[i1,j]+1f[i-1,j]+1

-

f[i,j1]+1f[i,j-1]+1

-

f[i1,j1]+1f[i-1,j-1]+1 (如果a[i]==b[j]a[i]==b[j]则不需要加一,即不需要进行修改操作)

-

区间DP

+

$f[i,j]$所有将$a[1-i]$变成$b[1-j]$的操作方式的最小步数

+

区间划分①删除最后一个数②增加最后一个数③修改最后一个数

+

$f[i-1,j]+1$

+

$f[i,j-1]+1$

+

$f[i-1,j-1]+1$ 如果$a[i]==b[j]$则不需要加一即不需要进行修改操作

+

区间DP

石子合并

-

f[i,j]f[i,j]表示将第ii堆石子到第jj堆石子合并成一堆石子的方式的代价最小值/最大值

-

O(n3)O(n^3)

+

$f[i,j]$表示将第$i$堆石子到第$j$堆石子合并成一堆石子的方式的代价最小值/最大值

+

$O(n^3)$

for(int len=2;len<=n;len++){
     for(int i=1;i+len-1<=n;i++){
         int l = i,r = i+len-1;
@@ -567,335 +152,172 @@ 

区间DP} } }

-

计数类DP

-

数位统计DP

+

计数类DP

+

数位统计DP

计数问题

-

n=abcdefgn=abcdefg,枚举第ii位是 x[0,9]x \in [0,9]

-

举例x=1,i=4x=1,i=4的情况:

-

设数字为xxx1yyyxxx1yyy

+

$n=abcdefg$枚举第$i$位是 $x \in [0,9]$

+

举例$x=1,i=4$的情况

+

设数字为$xxx1yyy$

    -
  • abc>xxx,xxx[000,abc1],y[000,999]abc>xxx,xxx \in [000,abc-1], y \in [000,999],则共有abc1000abc * 1000
  • -
  • abc<xxxabc<xxx,则共有0个
  • -
  • abc=xxxabc=xxx +
  • $abc>xxx,xxx \in [000,abc-1], y \in [000,999]$则共有$abc * 1000$
  • +
  • $abc<xxx$则共有0个
  • +
  • $abc=xxx$
      -
    • d<1d<1,无解
    • -
    • d=1d=1yyy[000,efg]yyy \in [000,efg],则有efg+1efg+1
    • -
    • d>1d>1yyy[000,999]yyy \in [000,999],有1000种
    • +
    • $d<1$无解
    • +
    • $d=1$$yyy \in [000,efg]$,则有$efg+1$
    • +
    • $d>1$$yyy \in [000,999]$,有1000种
-

当x=0时,注意前导0,即对于第一种情况,xxx[001,abc1]xxx \in [001,abc-1],即有(abc1)1000(abc-1)*1000情况

+

当x=0时注意前导0即对于第一种情况$xxx \in [001,abc-1]$即有$(abc-1)*1000$情况

圆形数字

-

状态压缩DP

+

状态压缩DP

蒙德里安的梦想

-

f[i][j]f[i][j]表示第i列,上一列横着摆的数量j,其中j是一个二进制数。

+

$f[i][j]$表示第i列上一列横着摆的数量j,其中j是一个二进制数

最短Hamilton路径

-

f[i][j]f[i][j]表示从0号点走到j号点,走过的所有点是i的所有路径(二进制数i表示某个点是否已经走过了)的最小路径长度

-

树形DP

+

$f[i][j]$表示从0号点走到j号点走过的所有点是i的所有路径(二进制数i表示某个点是否已经走过了)的最小路径长度

+

树形DP

没有上司的舞会

-

f[u][0]f[u][0]表示所有以u为根的子树中选择,并且不选u这个点的方案的最大值

-

f[u][1]f[u][1]表示所有以u为根的子树中选择,并且选u这个点的方案的最大值

-

设点u的子节点s1,s2,s3....sis_1,s_2,s_3....s_i

-

f[u][0]=1imax(f[si][0],f[si][1])f[u][0] = \sum_{1}^{i}max(f[s_i][0],f[s_i][1])

-

f[u][1]=1if[si][0]f[u][1] = \sum_{1}^{i}f[s_i][0]

-

找出根节点,递归求最大值即可

-

记忆化搜索

+

$f[u][0]$表示所有以u为根的子树中选择并且不选u这个点的方案的最大值

+

$f[u][1]$表示所有以u为根的子树中选择并且选u这个点的方案的最大值

+

设点u的子节点$s_1,s_2,s_3....s_i$

+

$f[u][0] = \sum_{1}^{i}max(f[s_i][0],f[s_i][1])$

+

$f[u][1] = \sum_{1}^{i}f[s_i][0]$

+

找出根节点递归求最大值即可

+

记忆化搜索

滑雪

-

s[i][j]s[i][j]表示从(i,j)点出发能走的最长距离。

-

每次搜索一次记忆一次即可。

+

$s[i][j]$表示从(i,j)点出发能走的最长距离

+

每次搜索一次记忆一次即可

举例

3 3 
 1 1 3
 2 3 4
 1 1 1
-

先去找(1,1)的最长距离,很明显为1

-

接着找(1,2)的最长距离,很明显为1

-

接着找(1,3)的最长距离,为2((1,3)->(1,2))

-

然后找(2,1)的最长距离,为2((2,1)->(1,1))

-

然后是(2,2)的最长距离,如果没有记忆化,那么搜索过程为:(2,2)->(2,1)->(1,1)

-

但是(2,1)之前已经搜过了,再去搜就是浪费时间,之前搜索已经知道(2,1)的值为2,那么搜索过程就是缩短为:(2,2)->(2,1),即为3

-

杂题

-

【动态规划1】动态规划的引入

+

先去找(1,1)的最长距离很明显为1

+

接着找(1,2)的最长距离很明显为1

+

接着找(1,3)的最长距离为2((1,3)->(1,2))

+

然后找(2,1)的最长距离为2((2,1)->(1,1))

+

然后是(2,2)的最长距离如果没有记忆化那么搜索过程为(2,2)->(2,1)->(1,1)

+

但是2,1之前已经搜过了再去搜就是浪费时间之前搜索已经知道(2,1)的值为2那么搜索过程就是缩短为(2,2)->(2,1),即为3

+

杂题

+

动态规划1动态规划的引入

kkksc03考前临时抱佛脚

-

【NOIP1999】挖地雷

-

dp+递归倒序输出,当然这题使用爆搜也可以过

+

NOIP1999挖地雷

+

dp+递归倒序输出当然这题使用爆搜也可以过

最大字段和

-

f[i]f[i]表示ii所在的有效序列的最大字段和

-

如果f[i1]+a[i]f[i-1]+a[i]更大,则加入到前一个有效序列

-

否则a[i]a[i]自己为一个有效序列

+

$f[i]$表示$i$所在的有效序列的最大字段和

+

如果$f[i-1]+a[i]$更大则加入到前一个有效序列

+

否则$a[i]$自己为一个有效序列

五倍经验日

01背包的变形

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+ + - - - - - - + + + + + + + + + + + + + - - - - - - - - - - - - - - - - - + + + + + \ No newline at end of file diff --git a/algorithm-greedy/index.html b/algorithm-greedy/index.html index 8b88d8c..6cbbd3e 100644 --- a/algorithm-greedy/index.html +++ b/algorithm-greedy/index.html @@ -1,807 +1,229 @@ - - - - - - - - - 贪心算法 + + + - - - - - - - - - - - - - - - - - - - - - + 贪心算法 | HawYiorのBlog + + + + + - - - + - - - + - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - + + - -
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贪心算法

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+

高精度算法

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+ + - - - - - - + + + + + + + + + + + + + - - - - - - - - - - - - - - - - - + + + + + \ No newline at end of file diff --git a/algorithm-knapsack-problem/index.html b/algorithm-knapsack-problem/index.html index 1348922..d5d0bc2 100644 --- a/algorithm-knapsack-problem/index.html +++ b/algorithm-knapsack-problem/index.html @@ -1,515 +1,100 @@ - - - - - - - - - 背包问题算法 + + + - - - - - - - - - - - - - - - - - - - - - + 背包问题算法 | HawYiorのBlog + + + + + - - - + - - - + - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - + + - -
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+

背包问题算法

-
- - - -
-

动态规划

+
+

目录

+
  1. 1. 动态规划
  2. 2. 背包问题
    1. 2.1. 01背包问题
    2. 2.2. 完全背包问题
    3. 2.3. 多重背包物品
    4. 2.4. 分组背包问题
+
+ +
+ +

动态规划

    -
  • 状态表示f[i,j]f[i,j] +
  • 状态表示$f[i,j]$
    • 集合
    • -
    • 属性(Max,Min,Cnt)
    • +
    • 属性MaxMinCnt
  • 状态计算 @@ -518,31 +103,31 @@

-

背包问题

-

给定nn个物品和容量vv的背包,每个物品都有体积viv_i和价值wiw_i,求当i=1nviv\sum_{i=1}^{n} v_i \le v时最大的ww是多少

-

01背包问题

+

背包问题

+

给定$n$个物品和容量$v$的背包每个物品都有体积$v_i$和价值$w_i$求当$\sum_{i=1}^{n} v_i \le v$时最大的$w$是多少

+

01背包问题

每个物品只能用0/1次

-

f[i,j]=max(f[i1,j],f[i1,jvi]+wi)f[i,j] = max(f[i-1,j],f[i-1,j-v_i]+w_i)

+

$f[i,j] = max(f[i-1,j],f[i-1,j-v_i]+w_i)$

01背包问题

采药

-

完全背包问题

+

完全背包问题

物品可以无限次使用

-

f[i,j]=Max(f[i1,jvi×k]+w[i]×k)f[i,j] = Max(f[i-1,j-v_i \times k]+w[i] \times k)

-

k[0,jvi]k \subseteq [0,\frac{j}{v_i}]

-

f[i,j]=Max(f[i1,j],f[i1,jvi]+wi,f[i1,j2vi]+2wi,....,f[i1][jkvi]+kwi)f[i,j] = Max(f[i-1,j],f[i-1,j-v_i]+w_i,f[i-1,j-2v_i]+2w_i,....,f[i-1][j-kv_i]+kw_i)

-

f[i,jvi]=Max(f[i1][jvi],f[i1][j2vi]+wi,...,f[i1][jkvi]+(k1)wi)f[i,j-v_i] = Max(f[i-1][j-v_i],f[i-1][j-2v_i]+w_i,...,f[i-1][j-kv_i]+(k-1)w_i)

-

f[i][j]f[i][j]的后kk项等于f[i][jvi]+wif[i][j-v_i]+w_i

+

$f[i,j] = Max(f[i-1,j-v_i \times k]+w[i] \times k)$

+

$k \subseteq [0,\frac{j}{v_i}]$

+

$f[i,j] = Max(f[i-1,j],f[i-1,j-v_i]+w_i,f[i-1,j-2v_i]+2w_i,....,f[i-1][j-kv_i]+kw_i)$

+

$f[i,j-v_i] = Max(f[i-1][j-v_i],f[i-1][j-2v_i]+w_i,...,f[i-1][j-kv_i]+(k-1)w_i)$

+

$f[i][j]$的后$k$项等于$f[i][j-v_i]+w_i$

-

f[i,j]=Max(f[i1,j],f[i,jvi]+wi)f[i,j] = Max(f[i-1,j],f[i,j-v_i]+w_i)

+

$f[i,j] = Max(f[i-1,j],f[i,j-v_i]+w_i)$

完全背包问题

-

多重背包物品

+

多重背包物品

每个物品的个数不一致

朴素做法

-

f[i,j]=Max(f[i1,j],f[i1,jvi]+wi,f[i1,j2vi]+2wi,....,f[i1][jkvi]+kwi)f[i,j] = Max(f[i-1,j],f[i-1,j-v_i]+w_i,f[i-1,j-2v_i]+2w_i,....,f[i-1][j-kv_i]+kw_i)

-

k[0,si]k \subseteq [0,s_i]

+

$f[i,j] = Max(f[i-1,j],f[i-1,j-v_i]+w_i,f[i-1,j-2v_i]+2w_i,....,f[i-1][j-kv_i]+kw_i)$

+

$k \subseteq [0,s_i]$

三重循环即可

多重背包问题1

-

优化:二进制优化

+

优化二进制优化

for(int i=1;i<=n;i++){
     int a,b,s;
     cin>>a>>b>>s;
@@ -561,7 +146,7 @@ 

[cnt] = b*s; } }

-

对物品进行二进制分组,组数为cntcnt,转化为01背包问题求解

+

对物品进行二进制分组组数为$cnt$转化为01背包问题求解

n = cnt;
 for(int i=1;i<=n;i++){
     for(int j=0;j<=m;j++){
@@ -571,281 +156,118 @@ 

} cout<<f[n][m]<<endl;

多重背包问题2

-

分组背包问题

-

NN组,每一组只能选其中一种物品

-

f[i][j]=Max(f[i1,j],f[i1,jvi,k]+wi,k)f[i][j] = Max(f[i-1,j],f[i-1,j-v_{i,k}]+w_{i,k})

+

分组背包问题

+

$N$每一组只能选其中一种物品

+

$f[i][j] = Max(f[i-1,j],f[i-1,j-v_{i,k}]+w_{i,k})$

分组背包问题

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+

算法数论

-
- - - -
-

质数

-

对于大于一的整数,如果只包含一和本身这两个约数,它就是质数(也叫素数)

-

试除法

-

O(n)O(\sqrt n)

+
+

目录

+
  1. 1. 质数
    1. 1.1. 试除法
    2. 1.2. 试除法分解质因数
    3. 1.3. 朴素筛法求素数
    4. 1.4. 线性筛法求素数
  2. 2. 约数
    1. 2.1. 试除法求所有约数
    2. 2.2. 约数个数和约数之和
    3. 2.3. 欧几里得算法求最大公约数
  3. 3. 欧拉函数
    1. 3.1. 筛法求欧拉函数
  4. 4. 快速幂
  5. 5. 扩展欧几里得算法
  6. 6. 中国剩余定理
  7. 7. 高斯消元
  8. 8. 组合数
    1. 8.1. 递推法求组合数
+
+ +
+ +

质数

+

对于大于一的整数如果只包含一和本身这两个约数它就是质数也叫素数

+

试除法

+

$O(\sqrt n)$

bool is_prime(int x)
 {
     if (x < 2) return false;
@@ -527,7 +101,7 @@ 

试除法 return false; return true; }

-

试除法分解质因数

+

试除法分解质因数

void divide(int x)
 {
     for (int i = 2; i <= x / i; i ++ )
@@ -540,9 +114,9 @@ 

if (x > 1) cout << x << ' ' << 1 << endl; cout << endl; }

-

朴素筛法求素数

-

枚举每一个数,如果它没有被筛,则加入质数集合,并且把它的所有倍数都筛掉

-

O(nloglogn)O(nloglogn)

+

朴素筛法求素数

+

枚举每一个数如果它没有被筛则加入质数集合并且把它的所有倍数都筛掉

+

$O(nloglogn)$

int primes[N], cnt;     // primes[]存储所有素数
 bool st[N];         // st[x]存储x是否被筛掉
 
@@ -556,7 +130,7 @@ 

[j] = true; } }

-

线性筛法求素数

+

线性筛法求素数

int primes[N], cnt;     // primes[]存储所有素数
 bool st[N];         // st[x]存储x是否被筛掉
 
@@ -572,8 +146,8 @@ 

} } }

-

约数

-

试除法求所有约数

+

约数

+

试除法求所有约数

vector<int> get_divisors(int x)
 {
     vector<int> res;
@@ -586,17 +160,17 @@ 

sort(res.begin(), res.end()); return res; }

-

约数个数和约数之和

-

如果 N = p1^c1 * p2^c2 * … *pk^ck
-约数个数: (c1 + 1) * (c2 + 1) * … * (ck + 1)
-约数之和: (p1^0 + p1^1 + … + p1^c1) * … * (pk^0 + pk^1 + … + pk^ck)

-

欧几里得算法求最大公约数

+

约数个数和约数之和

+

如果 N = p1^c1 * p2^c2 * … *pk^ck
+约数个数 (c1 + 1) * (c2 + 1) * … * (ck + 1)
+约数之和 (p1^0 + p1^1 + … + p1^c1) * … * (pk^0 + pk^1 + … + pk^ck)

+

欧几里得算法求最大公约数

int gcd(int a, int b)
 {
     return b ? gcd(b, a % b) : a;
 }
-

欧拉函数

-

ϕ(n)\phi(n):1-n中与n互质的数的个数

+

欧拉函数

+

$\phi(n)$1-n中与n互质的数的个数

int phi(int x)
 {
     int res = x;
@@ -610,7 +184,7 @@ 

return res; }

-

筛法求欧拉函数

+

筛法求欧拉函数

int primes[N], cnt;     // primes[]存储所有素数
 int euler[N];           // 存储每个数的欧拉函数
 bool st[N];         // st[x]存储x是否被筛掉
@@ -639,8 +213,8 @@ 

} } }

-

快速幂

-

O(logk)O(logk)时间内求出求出akmodpa^k mod p

+

快速幂

+

$O(logk)$时间内求出求出$a^k mod p$

int qmi(int m, int k, int p)
 {
     int res = 1 % p, t = m;
@@ -652,8 +226,8 @@ 

快速幂 } return res; }

-

扩展欧几里得算法

-
// 求x, y,使得ax + by = gcd(a, b)
+

扩展欧几里得算法

+
// 求x, y使得ax + by = gcd(a, b)
 int exgcd(int a, int b, int &x, int &y)
 {
     if (!b)
@@ -665,11 +239,11 @@ 

-= (a/b) * x; return d; }

-

中国剩余定理

-

给定一些两两互质的数,求解线性同余方程组

-

ToBeContinueTo Be Continue

-

高斯消元

-

O(n3)O(n^3)内求解线性方程组

+

中国剩余定理

+

给定一些两两互质的数求解线性同余方程组

+

$To Be Continue$

+

高斯消元

+

$O(n^3)$内求解线性方程组

// a[N][N]是增广矩阵
 int gauss()
 {
@@ -707,285 +281,122 @@ 

return 0; // 有唯一解 }

-

组合数

-

递推法求组合数

-

Cab=Ca1b+Ca1b1C_{a}^{b} = C_{a-1}^{b} + C_{a-1}^{b-1}

+

组合数

+

递推法求组合数

+

$C_{a}^{b} = C_{a-1}^{b} + C_{a-1}^{b-1}$

// c[a][b] 表示从a个苹果中选b个的方案数
 for (int i = 0; i < N; i ++ )
     for (int j = 0; j <= i; j ++ )
         if (!j) c[i][j] = 1;
         else c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod;
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+ + - - - - - - + + + + + + + + + + + + + - - - - - - - - - - - - - - - - - + + + + + \ No newline at end of file diff --git a/algorithm-minimum-spanning-tree/index.html b/algorithm-minimum-spanning-tree/index.html index ec8c8dd..ebe41fb 100644 --- a/algorithm-minimum-spanning-tree/index.html +++ b/algorithm-minimum-spanning-tree/index.html @@ -1,521 +1,106 @@ - - - - - - - - - 最小生成树与二分图算法 + + + - - - - - - - - - - - - - - - - - - - - - + 最小生成树与二分图算法 | HawYiorのBlog + + + + + - - - + - - - + - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - + + - -
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+

最小生成树与二分图算法

-
- - - -
-

最小生成树

-

Prim算法

+
+

目录

+
  1. 1. 最小生成树
    1. 1.1. Prim算法
    2. 1.2. Kruskal算法
  2. 2. 二分图
    1. 2.1. 染色法
    2. 2.2. 匈牙利算法
+
+ +
+ +

最小生成树

+

Prim算法

处理稠密图

-

朴素Prim算法 O(n2)O(n^2)

-

类似dijkstra,找出距离集合最短的点,加入集合,更新其他点到集合的距离

+

朴素Prim算法 $O(n^2)$

+

类似dijkstra找出距离集合最短的点加入集合更新其他点到集合的距离

int n;      // n表示点数
-int g[N][N];        // 邻接矩阵,存储所有边
+int g[N][N];        // 邻接矩阵存储所有边
 int dist[N];        // 存储其他点到当前最小生成树的距离
 bool st[N];     // 存储每个点是否已经在生成树中
 
 
-// 如果图不连通,则返回INF(值是0x3f3f3f3f), 否则返回最小生成树的树边权重之和
+// 如果图不连通则返回INF(值是0x3f3f3f3f), 否则返回最小生成树的树边权重之和
 int prim()
 {
     memset(dist, 0x3f, sizeof dist);
@@ -538,14 +123,14 @@ 

Prim算 return res; }

-

堆优化Prim O(mlogn)O(mlogn) (不常用)

-

Kruskal算法

-

O(mlogm)O(mlogm) 处理稀疏图

+

堆优化Prim $O(mlogn)$ 不常用

+

Kruskal算法

+

$O(mlogm)$ 处理稀疏图

  1. 将所有边按照权重排序
  2. -
  3. 枚举每条边a->b,权重c (如果ab不联通,则将边ab加入集合中)
  4. +
  5. 枚举每条边a->b,权重c 如果ab不联通则将边ab加入集合中
-
int n, m;       // n是点数,m是边数
+
int n, m;       // n是点数m是边数
 int p[N];       // 并查集的父节点数组
 
 struct Edge     // 存储边
@@ -576,7 +161,7 @@ 

K int a = edges[i].a, b = edges[i].b, w = edges[i].w; a = find(a), b = find(b); - if (a != b) // 如果两个连通块不连通,则将这两个连通块合并 + if (a != b) // 如果两个连通块不连通则将这两个连通块合并 { p[a] = b; res += w; @@ -587,18 +172,18 @@

K if (cnt < n - 1) return INF; return res; }

-

【模版】最小生成树

+

模版最小生成树

买礼物

-

二分图

-

定义:设G=(V,E)是一个无向图,如果顶点V可分割为两个互不相交的子集(A,B),并且图中的每条边(i,j)所关联的两个顶点i和j分别属于这两个不同的顶点集(i in A,j in B),则称图G为一个二分图

+

二分图

+

定义设G=(V,E)是一个无向图如果顶点V可分割为两个互不相交的子集(A,B)并且图中的每条边ij所关联的两个顶点i和j分别属于这两个不同的顶点集(i in A,j in B)则称图G为一个二分图

一个图是二分图当且仅当图中不含有奇数环

-

染色法

-

O(n+m)O(n+m) 判断是否为二分图

+

染色法

+

$O(n+m)$ 判断是否为二分图

int n;      // n表示点数
 int h[N], e[M], ne[M], idx;     // 邻接表存储图
-int color[N];       // 表示每个点的颜色,-1表示未染色,0表示白色,1表示黑色
+int color[N];       // 表示每个点的颜色-1表示未染色0表示白色1表示黑色
 
-// 参数:u表示当前节点,c表示当前点的颜色
+// 参数u表示当前节点c表示当前点的颜色
 bool dfs(int u, int c)
 {
     color[u] = c;
@@ -628,11 +213,11 @@ 

染色法 } return flag; }

-

匈牙利算法

-

O(mn)O(mn),实际运行时间远小于O(mn)O(mn)

+

匈牙利算法

+

$O(mn)$实际运行时间远小于$O(mn)$

实现二分图的最大匹配

-
int n1, n2;     // n1表示第一个集合中的点数,n2表示第二个集合中的点数
-int h[N], e[M], ne[M], idx;     // 邻接表存储所有边,匈牙利算法中只会用到从第一个集合指向第二个集合的边,所以这里只用存一个方向的边
+
int n1, n2;     // n1表示第一个集合中的点数n2表示第二个集合中的点数
+int h[N], e[M], ne[M], idx;     // 邻接表存储所有边匈牙利算法中只会用到从第一个集合指向第二个集合的边所以这里只用存一个方向的边
 int match[N];       // 存储第二个集合中的每个点当前匹配的第一个集合中的点是哪个
 bool st[N];     // 表示第二个集合中的每个点是否已经被遍历过
 
@@ -655,7 +240,7 @@ 

return false; } -// 求最大匹配数,依次枚举第一个集合中的每个点能否匹配第二个集合中的点 +// 求最大匹配数依次枚举第一个集合中的每个点能否匹配第二个集合中的点 int res = 0; for (int i = 1; i <= n1; i ++ ) { @@ -663,276 +248,113 @@

if (find(i)) res ++ ; }

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+ + - - - - - - + + + + + + + + + + + + + - - - - - - - - - - - - - - - - - + + + + + \ No newline at end of file diff --git a/algorithm-prefix-sum-and-difference/index.html b/algorithm-prefix-sum-and-difference/index.html index 2f5cd02..755fd21 100644 --- a/algorithm-prefix-sum-and-difference/index.html +++ b/algorithm-prefix-sum-and-difference/index.html @@ -1,552 +1,137 @@ - - - - - - - - - 前缀和与差分算法 + + + - - - - - - - - - - - - - - - - - - - - - + 前缀和与差分算法 | HawYiorのBlog + + + + + - - - + - - - + - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - + + - -
- - - - - -
-
-
- -
- -
-
-

+

前缀和与差分算法

-
- - - -
-

前缀和与差分

+
+

目录

+
  1. 1. 前缀和与差分
    1. 1.1. 一维前缀和
    2. 1.2. 二维前缀和
    3. 1.3. 一维差分
    4. 1.4. 二维差分
+
+ +
+ +

前缀和与差分

一对逆运算

-

一维前缀和

-

设有一列数据a1,a2,...,an1,an{a}_1,{a}_2,...,{a}_{n-1},{a}_n

-

定义Si=a1+a2+...+ai{S}_i=a_1+a_2+...+a_i

-

一般下标从1开始,S0=0S_0=0

-

SiS_i的初始化: Si=Si1+aiS_i = S_{i-1}+a_i

+

一维前缀和

+

设有一列数据${a}_1,{a}_2,...,{a}_{n-1},{a}_n$

+

定义${S}_i=a_1+a_2+...+a_i$

+

一般下标从1开始$S_0=0$

+

$S_i$的初始化: $S_i = S_{i-1}+a_i$

作用

快速地求出原数组中一段区间数的和

-

对于区间[l,r][l,r]

-

i=lrai=SrSl1\sum_{i=l}^{r}a_i = S_r-S_{l-1}

-

二维前缀和

-

对于二维数组(矩阵)(a11a12...a1ja21a22...a2j............ai1ai2...aij)\begin{pmatrix} +

对于区间$[l,r]$

+

$\sum_{i=l}^{r}a_i = S_r-S_{l-1}$

+

二维前缀和

+

对于二维数组矩阵$\begin{pmatrix} a_{11}& a_{12} & ... & a_{1j}\\ a_{21}& a_{22} & ... & a_{2j} \\ ...& ... & ... & ...\\ a_{i1}& a_{i2} & ... & a_{ij} -\end{pmatrix}

-

SijS_{ij}代表aija_{ij}左上角的所有元素和

+\end{pmatrix}$

+

$S_{ij}$代表$a_{ij}$左上角的所有元素和

  • -

    对于点(i,j)(i,j),其二维前缀和SijS_{ij}的初始化

    -

    Sij=Si1,j+Si,j1Si1,j1+ai,jS_{ij}=S_{i-1,j}+S_{i,j-1}-S_{i-1,j-1}+a_{i,j}

    +

    对于点$(i,j)$其二维前缀和$S_{ij}$的初始化

    +

    $S_{ij}=S_{i-1,j}+S_{i,j-1}-S_{i-1,j-1}+a_{i,j}$

  • -

    设点(x1,y1)(x_1,y_1)(x2,y2)(x_2,y_2)的左上角,则两点围成的矩形中所有元素和
    -S=Sx2,y2Sx2,y11Sx11,y2+Sx11,y11S=S_{x_2,y_2}-S_{x_2,y_1-1}-S_{x_1-1,y_2}+S_{x_1-1,y_1-1}

    +

    设点$(x_1,y_1)$$(x_2,y_2)$的左上角则两点围成的矩形中所有元素和
    +$S=S_{x_2,y_2}-S_{x_2,y_1-1}-S_{x_1-1,y_2}+S_{x_1-1,y_1-1}$

-

一维差分

-

对一列数据a1,a2,a3,...,aia_1,a_2,a_3,...,a_i

-

构造b1,b2,b3,...,bib_1,b_2,b_3,...,b_i使得ai=b1+b2+...+bia_i=b_1+b_2+...+b_i

-

aabb的前缀和,bb就是aa的差分

-

{b1=a1b2=a2a1b3=a3a2......bn=anan1\left\{\begin{matrix} +

一维差分

+

对一列数据$a_1,a_2,a_3,...,a_i$

+

构造$b_1,b_2,b_3,...,b_i$使得$a_i=b_1+b_2+...+b_i$

+

$a$$b$的前缀和$b$就是$a$的差分

+

$\left\{\begin{matrix} b_1=a_1\\ b_2=a_2-a_1\\ b_3=a_3-a_2\\ ......\\ b_n=a_n-a_{n-1} -\end{matrix}\right.

+\end{matrix}\right.$

作用

-

若要把a1,a2,a3,...,aia_1,a_2,a_3,...,a_i[l,r][l,r]区间的aacc

-

只需要使bl+=c,br+1=cb_l+=c,b_{r+1}-=c

+

若要把$a_1,a_2,a_3,...,a_i$$[l,r]$区间的$a$$c$

+

只需要使$b_l+=c,b_{r+1}-=c$

模版

import java.util.Scanner;
 
@@ -583,8 +168,8 @@ 

一 brr[r+1] -= c; } - // 计算输出结果即可(这里输出的需要是由b累计出来的a) - // 也可以使用注释代码,最后输出arr即可 + // 计算输出结果即可这里输出的需要是由b累计出来的a + // 也可以使用注释代码最后输出arr即可 for (int i = 1; i < n+1; i++) { brr[i] += brr[i-1]; //arr[i] = brr[i]+arr[i-1]; @@ -597,283 +182,120 @@

} }

-

二维差分

-

原矩阵aija_{ij},差分矩阵bijb_{ij}

-

bx1,y1+=cb_{x1,y1}+=c

-

bx2+1,y=cb_{x2+1,y}-=c

-

bx1,y2+1=cb_{x1,y2+1}-=c

-

bx2+1,y2+1+=cb_{x2+1,y2+1}+=c

+

二维差分

+

原矩阵$a_{ij}$,差分矩阵$b_{ij}$

+

$b_{x1,y1}+=c$

+

$b_{x2+1,y}-=c$

+

$b_{x1,y2+1}-=c$

+

$b_{x2+1,y2+1}+=c$

-
-
- -
-
- -
- - - - -
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+ +
+ +
+
+ + - - - - - - + + + + + + + + + + + + + - - - - - - - - - - - - - - - - - + + + + + \ No newline at end of file diff --git a/algorithm-search/index.html b/algorithm-search/index.html index 4065372..1c8ff82 100644 --- a/algorithm-search/index.html +++ b/algorithm-search/index.html @@ -1,521 +1,106 @@ - - - - - - - - - 递归与搜索 + + + - - - - - - - - - - - - - - - - - - - - - + 递归与搜索 | HawYiorのBlog + + + + + - - - + - - - + - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - + + - -
- - - - - -
-
-
- -
- -
-
-

+

递归与搜索

-
- - - -
-

DFS与BFS

+
+

目录

+
  1. 1. DFS与BFS
  2. 2. 树和图的存储
    1. 2.1. 树和图的遍历
    2. 2.2. 拓扑排序
+
+ +
+ +

DFS与BFS

    -
  • 深度优先搜索(DFS)
  • +
  • 深度优先搜索DFS
-

StackStack递归,空间O(h)O(h),不具有最短性

-

题目:全排列八皇后

+

$Stack$递归空间$O(h)$不具有最短性

+

题目全排列八皇后

    -
  • 宽度优先搜索(BFS)
  • +
  • 宽度优先搜索BFS
-

QueueQueue,空间O(2h)O(2^h),“最短路”

-

题目:迷宫

-

回溯、剪枝

+

$Queue$空间$O(2^h)$最短路

+

题目迷宫

+

回溯剪枝

烤鸡

猫猫和企鹅

在矩阵中4个方向遍历

@@ -527,18 +112,18 @@

DFS与BFS int dy[8] = {-1, 0, 1, 1, 1, 0, -1, -1};

防止走相反的方向导致搜索回溯

if(i ^ 4 == d) continue;
-

树和图的存储

+

树和图的存储

树是特殊的无环连通图

-

有向图aba \to b

+

有向图$a \to b$

  • -

    邻接矩阵 g[a][b]g[a][b]

    +

    邻接矩阵 $g[a][b]$

  • -

    邻接表,用链表储存点ii可以到达的点

    +

    邻接表用链表储存点$i$可以到达的点

-
// 对于每个点k,开一个单链表,存储k所有可以走到的点。h[k]存储这个单链表的头结点
+
// 对于每个点k开一个单链表存储k所有可以走到的点h[k]存储这个单链表的头结点
 int h[N], e[N], ne[N], idx;
 
 // 添加一条边a->b
@@ -550,8 +135,8 @@ 

// 初始化 idx = 0; memset(h, -1, sizeof h);

-

树和图的遍历

-

时间复杂度O(n+m)O(n+m),n表示点数,m表示边数

+

树和图的遍历

+

时间复杂度$O(n+m)$n表示点数m表示边数

  • 深度优先遍历
@@ -587,16 +172,16 @@

} } }

-

拓扑排序

-

时间复杂度O(n+m)O(n+m),n表示点数,m表示边数

-

有向无环图一定可以拓扑排序,序列可能不唯一

-

入度、出度:有多少条边指向自己/从自己这里指出去

+

拓扑排序

+

时间复杂度$O(n+m)$n表示点数m表示边数

+

有向无环图一定可以拓扑排序序列可能不唯一

+

入度出度有多少条边指向自己/从自己这里指出去

  1. 将入度为0的点入队

  2. -

    宽搜,枚举队头的所有出边tjt \to j,删掉tjt \to jtt的出度减一

    +

    宽搜枚举队头的所有出边$t \to j$删掉$t \to j$$t$的出度减一

bool topsort()
@@ -621,281 +206,118 @@ 

} } - // 如果所有点都入队了,说明存在拓扑序列;否则不存在拓扑序列。 + // 如果所有点都入队了说明存在拓扑序列否则不存在拓扑序列 return tt == n - 1; }

一个有向无环图至少有一个入度为0的点

-
-
- -
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- -
- - - - -
-
-
- - - - - - - - - - - - - - - - - - - - - - - +
+ +
+ +
+
+ + - - - - - - + + + + + + + + + + + + + - - - - - - - - - - - - - - - - - + + + + + \ No newline at end of file diff --git a/algorithm-shortest-path/index.html b/algorithm-shortest-path/index.html index f00613d..65a86b1 100644 --- a/algorithm-shortest-path/index.html +++ b/algorithm-shortest-path/index.html @@ -1,550 +1,135 @@ - - - - - - - - - 最短路算法 + + + - - - - - - - - - - - - - - - - - - - - - + 最短路算法 | HawYiorのBlog + + + + + - - - + - - - + - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - + + - -
- - - - - -
-
-
- -
- -
-
-

+

最短路算法

-
- - - -
-

最短路

-

nn为点数,mm为边数

-

mmn2n^2同一级别为稠密图,与nn同一级别为稀疏图

-

稠密图使用邻接矩阵储存,稀疏图用邻接表储存

+
+

目录

+
  1. 1. 最短路
    1. 1.1. 朴素dijkstra算法
    2. 1.2. 堆优化版dijkstra算法
    3. 1.3. Bellman-Ford算法
    4. 1.4. SPFA算法
    5. 1.5. Floyd算法
+
+ +
+ +

最短路

+

$n$为点数$m$为边数

+

$m$$n^2$同一级别为稠密图$n$同一级别为稀疏图

+

稠密图使用邻接矩阵储存稀疏图用邻接表储存

  • 单源最短路
    • 所有边权都是正数
        -
      • 朴素dijkstradijkstra算法 O(n2+m)O(n^2+m)
      • -
      • 堆优化版dijkstradijkstra算法 O(mlogn)O(mlogn)
      • +
      • 朴素$dijkstra$算法 $O(n^2+m)$
      • +
      • 堆优化版$dijkstra$算法 $O(mlogn)$
    • 存在负权边
        -
      • BellmanFordBellman-Ford算法 O(nm)O(nm)
      • -
      • SPFASPFA算法 一般O(m)O(m),最坏O(nm)O(nm)
      • +
      • $Bellman-Ford$算法 $O(nm)$
      • +
      • $SPFA$算法 一般$O(m)$最坏$O(nm)$
  • 多源汇最短路
      -
    • floydfloyd算法 O(n3)O(n^3)
    • +
    • $floyd$算法 $O(n^3)$
-

朴素dijkstra算法

+

朴素dijkstra算法

  1. -

    初始化距离,$dist[1]=0,dist[i]=+\infty $,st数组:当前已经确定最短路径的点

    +

    初始化距离$dist[1]=0,dist[i]=+\infty $st数组当前已经确定最短路径的点

  2. -

    循环每一个点,找到不在st中的最短距离点t,t加入到st中,用t更新其他点的距离

    +

    循环每一个点找到不在st中的最短距离点tt加入到st中用t更新其他点的距离

int g[N][N];  // 存储每条边
 int dist[N];  // 存储1号点到每个点的最短距离
 bool st[N];   // 存储每个点的最短路是否已经确定
 
-// 求1号点到n号点的最短路,如果不存在则返回-1
+// 求1号点到n号点的最短路如果不存在则返回-1
 int dijkstra()
 {
     memset(dist, 0x3f, sizeof dist);
@@ -552,7 +137,7 @@ 

for (int i = 0; i < n - 1; i ++ ) { - int t = -1; // 在还未确定最短路的点中,寻找距离最小的点 + int t = -1; // 在还未确定最短路的点中寻找距离最小的点 for (int j = 1; j <= n; j ++ ) if (!st[j] && (t == -1 || dist[t] > dist[j])) t = j; @@ -567,8 +152,8 @@

if (dist[n] == 0x3f3f3f3f) return -1; return dist[n]; }

-

一般边数m比较多,所以使用邻接矩阵g[a][b]存储

-

堆优化版dijkstra算法

+

一般边数m比较多所以使用邻接矩阵g[a][b]存储

+

堆优化版dijkstra算法

将寻找距离最小的点的时间复杂度降低

堆可以使用手写堆或优先队列

typedef pair<int, int> PII;
@@ -580,13 +165,13 @@ 

void add(int a, int b, int c){ e[idx] = b, w[idx] = c, ne[idx] = h[a], h[a] = idx++; } -// 求1号点到n号点的最短距离,如果不存在,则返回-1 +// 求1号点到n号点的最短距离如果不存在则返回-1 int dijkstra() { memset(dist, 0x3f, sizeof dist); dist[1] = 0; priority_queue<PII, vector<PII>, greater<PII>> heap; - heap.push({0, 1}); // first存储距离,second存储节点编号 + heap.push({0, 1}); // first存储距离second存储节点编号 while (heap.size()) { @@ -612,23 +197,23 @@

if (dist[n] == 0x3f3f3f3f) return -1; return dist[n]; }

-

Bellman-Ford算法

-

迭代n次,每次遍历所有边,对dist[b]进行更新

-
int n, m;       // n表示点数,m表示边数
+

Bellman-Ford算法

+

迭代n次每次遍历所有边对dist[b]进行更新

+
int n, m;       // n表示点数m表示边数
 int dist[N];        // dist[x]存储1到x的最短路距离
 
-struct Edge     // 边,a表示出点,b表示入点,w表示边的权重
+struct Edge     // 边a表示出点b表示入点w表示边的权重
 {
     int a, b, w;
 }edges[M];
 
-// 求1到n的最短路距离,如果无法从1走到n,则返回-1。
+// 求1到n的最短路距离如果无法从1走到n则返回-1
 int bellman_ford()
 {
     memset(dist, 0x3f, sizeof dist);
     dist[1] = 0;
 
-    // 如果第n次迭代仍然会松弛三角不等式,就说明存在一条长度是n+1的最短路径,由抽屉原理,路径中至少存在两个相同的点,说明图中存在负权回路。
+    // 如果第n次迭代仍然会松弛三角不等式就说明存在一条长度是n+1的最短路径由抽屉原理路径中至少存在两个相同的点说明图中存在负权回路
     for (int i = 0; i < n; i ++ )
     {
         for (int j = 0; j < m; j ++ )
@@ -644,15 +229,15 @@ 

} //遍历完后满足三角不等式 dist[b] <= dist[a] + w

-

可以用于找负环,时间复杂度比较高

-

SPFA算法

+

可以用于找负环时间复杂度比较高

+

SPFA算法

队列优化的Bellman-Ford算法

int n;      // 总点数
 int h[N], w[N], e[N], ne[N], idx;       // 邻接表存储所有边
 int dist[N];        // 存储每个点到1号点的最短距离
 bool st[N];     // 存储每个点是否在队列中
 
-// 求1号点到n号点的最短路距离,如果从1号点无法走到n号点则返回-1
+// 求1号点到n号点的最短路距离如果从1号点无法走到n号点则返回-1
 int spfa()
 {
     memset(dist, 0x3f, sizeof dist);
@@ -675,7 +260,7 @@ 

SPFA算 if (dist[j] > dist[t] + w[i]) { dist[j] = dist[t] + w[i]; - if (!st[j]) // 如果队列中已存在j,则不需要将j重复插入 + if (!st[j]) // 如果队列中已存在j则不需要将j重复插入 { q.push(j); st[j] = true; @@ -687,21 +272,21 @@

SPFA算 if (dist[n] == 0x3f3f3f3f) return -1; return dist[n]; }

-

推荐使用,只要不被卡或者存在负环

+

推荐使用只要不被卡或者存在负环

判断负环

-

在进行更新dist[j] = dist[t] + w时,同时维护cnt[x] (1号点到x号点经过的边数)

+

在进行更新dist[j] = dist[t] + w时同时维护cnt[x] (1号点到x号点经过的边数)

cnt[x] = cnt[t]+1;

-

若某个cnt[x] 大于等于n,则说明存在负环

+

若某个cnt[x] 大于等于n则说明存在负环

int n;      // 总点数
 int h[N], w[N], e[N], ne[N], idx;       // 邻接表存储所有边
-int dist[N], cnt[N];        // dist[x]存储1号点到x的最短距离,cnt[x]存储1到x的最短路中经过的点数
+int dist[N], cnt[N];        // dist[x]存储1号点到x的最短距离cnt[x]存储1到x的最短路中经过的点数
 bool st[N];     // 存储每个点是否在队列中
 
-// 如果存在负环,则返回true,否则返回false。
+// 如果存在负环则返回true否则返回false
 bool spfa()
 {
     // 不需要初始化dist数组
-    // 原理:如果某条最短路径上有n个点(除了自己),那么加上自己之后一共有n+1个点,由抽屉原理一定有两个点相同,所以存在环。
+    // 原理如果某条最短路径上有n个点除了自己那么加上自己之后一共有n+1个点由抽屉原理一定有两个点相同所以存在环
 
     queue<int> q;
     for (int i = 1; i <= n; i ++ )
@@ -724,7 +309,7 @@ 

SPFA算 { dist[j] = dist[t] + w[i]; cnt[j] = cnt[t] + 1; - if (cnt[j] >= n) return true; // 如果从1号点到x的最短路中包含至少n个点(不包括自己),则说明存在环 + if (cnt[j] >= n) return true; // 如果从1号点到x的最短路中包含至少n个点不包括自己则说明存在环 if (!st[j]) { q.push(j); @@ -736,17 +321,17 @@

SPFA算 return false; }

-

【模版】单源最短路径(弱化版)

-

【模版】单源最短路径(标准版)

-

Floyd算法

+

模版单源最短路径弱化版

+

模版单源最短路径标准版

+

Floyd算法

基于动态规划

-
初始化:
+
初始化
     for (int i = 1; i <= n; i ++ )
         for (int j = 1; j <= n; j ++ )
             if (i == j) d[i][j] = 0;
             else d[i][j] = INF;
 
-// 算法结束后,d[a][b]表示a到b的最短距离
+// 算法结束后d[a][b]表示a到b的最短距离
 void floyd()
 {
     for (int k = 1; k <= n; k ++ )
@@ -754,278 +339,115 @@ 

Floyd for (int j = 1; j <= n; j ++ ) d[i][j] = min(d[i][j], d[i][k] + d[k][j]); }

-

【模板】Floyd 算法

+

模板Floyd 算法

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+

由数据范围反推时间复杂度及算法

-
- -
+ -
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- - -
-
- - 目录 -
+ -
-
- -
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+ + - - - - - - + + + + + + + + + + + + + - - - - - - - - - - - - - - - - - + + + + + \ No newline at end of file diff --git a/algorithm-sort/index.html b/algorithm-sort/index.html index ec3c8b2..db145c9 100644 --- a/algorithm-sort/index.html +++ b/algorithm-sort/index.html @@ -1,523 +1,108 @@ - - - - - - - - - 排序算法 + + + - - - - - - - - - - - - - - - - - - - - - + 排序算法 | HawYiorのBlog + + + + + - - - + - - - + - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - + + - -
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-
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+

排序算法

-
- - - -
-

快速排序

-

分治思想,时间复杂度$O(nlogn)-O(n^2) $

-

期望时间复杂度O(nlogn)O(nlogn)

+
+

目录

+
  1. 1. 快速排序
  2. 2. 归并排序
+
+ +
+ +

快速排序

+

分治思想,时间复杂度$O(nlogn)-O(n^2) $

+

期望时间复杂度$O(nlogn)$

  1. -

    数组中找一个值xx作为分界点(可以是arr[l]arr\left [ l \right ] ,arr[r]arr\left [ r \right ],arr[l+r2]arr\left [ \frac{l+r}{2} \right ] 等等…)

    +

    数组中找一个值$x$作为分界点可以是$arr\left [ l \right ]$ ,$arr\left [ r \right ]$,$arr\left [ \frac{l+r}{2} \right ]$ 等等…

  2. -

    调整区间,使得左边的区间所有数\lex,右边区间所有数>>x

    +

    调整区间使得左边的区间所有数$\le$x右边区间所有数$>$x

    • 定义两个指针分别在左右边界
    • -
    • ii不断右移,直到遇到arr[i]arr[i] >x>x,就停下
    • -
    • jj不断左移,直到遇到arr[j]xarr[j]\le x,就停下
    • -
    • 交换arr[i]arr[i]arr[j]arr[j]
    • +
    • $i$不断右移直到遇到$arr[i]$ $>x$就停下
    • +
    • $j$不断左移直到遇到$arr[j]\le x$就停下
    • +
    • 交换$arr[i]$$arr[j]$
  3. @@ -540,22 +125,22 @@

    quick_sort(q, l, j); quick_sort(q, j + 1, r); } -

    归并排序

    -

    分治思想,O(nlogn)O(nlogn)

    +

    归并排序

    +

    分治思想,$O(nlogn)$

    1. -

      确定分界点 mid=l+r2mid = \frac{l+r}{2}

      +

      确定分界点 $mid = \frac{l+r}{2}$

    2. -

      递归排序leftleftrightright

      +

      递归排序$left$$right$

    3. -

      归并:合二为一

      +

      归并合二为一

        -
      • 双指针指向leftleftrightright的第一个元素
      • -
      • 创建一个空数组resres存放结果
      • -
      • 指针比较,如果left[i]<right[j]left[i]<right[j],则把left[i]left[i]放入resresii向后移动一位,继续比较
      • -
      • 如果left[i]=right[j]left[i]=right[j],则把left[i]left[i]放入resres,以维持稳定
      • +
      • 双指针指向$left$$right$的第一个元素
      • +
      • 创建一个空数组$res$存放结果
      • +
      • 指针比较如果$left[i]<right[j]$则把$left[i]$放入$res$$i$向后移动一位继续比较
      • +
      • 如果$left[i]=right[j]$则把$left[i]$放入$res$以维持稳定
    @@ -579,276 +164,113 @@

    for (i = l, j = 0; i <= r; i ++, j ++ ) q[i] = tmp[j]; } -

-
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  2. 归并排序
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+

二分查找与二分答案算法

-
- - - -
-

整数二分

+
+

目录

+
  1. 1. 整数二分
  2. 2. 浮点数二分
+
+ +
+ +

整数二分

提示信息

  • 题目保证有解
  • @@ -512,27 +97,27 @@

  • 求最大值的最小化

思路

-

对于区间[l,r][l,r],其中一部分满足条件check(x)=truecheck(x)=true,另一部分不满足

+

对于区间$[l,r]$其中一部分满足条件$check(x)=true$另一部分不满足

  • 对于寻找不满足区间的边界
-

mid=l+r+12mid = \frac{l+r+1}{2}

-

check(mid)=truecheck(mid)=true 则说明边界值在[mid,r][mid,r]
-更新语句为l=midl = mid

-

check(mid)=falsecheck(mid)=false 则说明边界值在[l,mid1][l,mid-1]
-更新语句为r=mid1r = mid-1

+

$mid = \frac{l+r+1}{2}$

+

$check(mid)=true$ 则说明边界值在$[mid,r]$
+更新语句为$l = mid$

+

$check(mid)=false$ 则说明边界值在$[l,mid-1]$
+更新语句为$r = mid-1$

  • 对于寻找满足区间的边界
-

mid=l+r2mid = \frac{l+r}{2}

-

check(mid)=truecheck(mid)=true 则说明边界值在[l,mid][l,mid]
-更新语句为r=midr = mid

-

check(mid)=falsecheck(mid)=false 则说明边界值在[mid+1,r][mid+1,r]
-更新语句为l=mid+1l=mid+1

+

$mid = \frac{l+r}{2}$

+

$check(mid)=true$ 则说明边界值在$[l,mid]$
+更新语句为$r = mid$

+

$check(mid)=false$ 则说明边界值在$[mid+1,r]$
+更新语句为$l=mid+1$

模版

public static boolean check(int x) {/* ... */} // 检查x是否满足某种性质
 
-// 区间[l, r]被划分成[l, mid]和[mid + 1, r]时使用:
+// 区间[l, r]被划分成[l, mid]和[mid + 1, r]时使用
 public static int bsearch_1(int l, int r)
 {
     while (l < r)
@@ -543,7 +128,7 @@ 

} return l; } -// 区间[l, r]被划分成[l, mid - 1]和[mid, r]时使用: +// 区间[l, r]被划分成[l, mid - 1]和[mid, r]时使用 public static int bsearch_2(int l, int r) { while (l < r) @@ -554,17 +139,17 @@

} return l; }

-

如果l=midl=mid ,最开始的midmid就要补上+1+1

+

如果$l=mid$ 最开始的$mid$就要补上$+1$

题目参考

冶炼金属

垦天计划

-

浮点数二分

+

浮点数二分

public static boolean check(double x) {/* ... */} // 检查x是否满足某种性质
 
 double bsearch_3(double l, double r)
 {
     final double eps = 1e-6;   
-    // eps 表示精度,取决于题目对精度的要求
+    // eps 表示精度取决于题目对精度的要求
     //比需要保留的位数多2
     while (r - l > eps)
     {
@@ -575,278 +160,115 @@ 

return l; }

精度比需要保留的位数多-2次方

-

可以把whilewhile循环直接换成for100次

+

可以把$while$循环直接换成for100次

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计算机以二进制表示数据,以表示电路中的正反。在二进制下,一个位只有0和1。逢二进一位。

-

计算机中存储数据,以字节为单位,一个字节有8个位,即可以表示-128~127范围的数字。

-

基础运算

+
+

目录

+
  1. 1. 基础运算
  2. 2. 正数、负数的表示
+
+ +
+ +

计算机以二进制表示数据以表示电路中的正反在二进制下一个位只有0和1逢二进一位

+

计算机中存储数据以字节为单位一个字节有8个位即可以表示-128~127范围的数字

+

基础运算

-

用符号&表示,运算规律是:真真为真,真假为假,假假为假(一假即假)

+

用符号&表示运算规律是真真为真真假为假假假为假一假即假

1&1 //1
 1&0 //0
 0&0 //0

-

用符号|表示,运算规律是:真真为真,真假为真,假假为假(一真即真)

+

用符号|表示运算规律是真真为真真假为真假假为假一真即真

1|1 //1
 1|0 //1
 0|0 //0

-

运算符为~,取反的逻辑,运算规律:二进制位若为1,取反后为0。若为0,取反后为1

+

运算符为~取反的逻辑运算规律二进制位若为1取反后为0若为0取反后为1

~1 //11111110

左移

-

将二进制数向左移位操作,高位溢出则丢弃,低位补0

+

将二进制数向左移位操作高位溢出则丢弃低位补0

a=11;
 a<<1;
-移位前:0000 1011
-移位后:0001 0110(十进制值为22)
-

对一个数左移1位就是乘以2,左移n位就是乘以2的n次方(而左移运算比乘法快得多)

+移位前0000 1011 +移位后0001 0110十进制值为22 +

对一个数左移1位就是乘以2左移n位就是乘以2的n次方而左移运算比乘法快得多

右移

-

右移位运算中,无符号数和有符号数的运算并不相同。对于无符号数,右移之后高位补0;对于有符号数,符号位一起移动,正数高位补0,负数高位补1

+

右移位运算中无符号数和有符号数的运算并不相同对于无符号数右移之后高位补0对于有符号数符号位一起移动正数高位补0负数高位补1

无符号数
 a=16;
 a>>3;
-移位前:0001 0000
-移位后:0000 0010(十进制值为2)
-
有符号数(正数)
+移位前0001 0000
+移位后0000 0010十进制值为2
+
有符号数正数
 b=32;
 a>>3;
-移位前:0010 0000
-移位后:0000 0100(十进制值位4)
-
有符号数(负数)
+移位前0010 0000
+移位后0000 0100十进制值位4
+
有符号数负数
 b=-32;
 b>>3;
-移位前:1010 0000
-移位后:1000 0100(十进制值为-4)
+移位前1010 0000 +移位后1000 0100十进制值为-4
c=25;
 c>>4;
-移位前:0001 1001
-移位后:0000 0001(十进制值为1)
-

实际上,我们发现。右移n位就是除以2的n次方,当得到的商不是整数时会往小取整

-

正数、负数的表示

-

对于负数的表示,比较特殊,其有一条运算规律:对非负数的二进制进行取反、然后+1,便可得其负数的二进制表示,以3为例子:

+移位前0001 1001 +移位后0000 0001十进制值为1 +

实际上我们发现右移n位就是除以2的n次方当得到的商不是整数时会往小取整

+

正数负数的表示

+

对于负数的表示比较特殊其有一条运算规律对非负数的二进制进行取反然后+1便可得其负数的二进制表示以3为例子

00000011//3的二进制
-//~00000011 对3进行取反,得到结果
+//~00000011 对3进行取反得到结果
 11111100
 //对结果进行+1
 11111101//-3在计算机中的最终表示
-

最终得出在一个字节下,11111101表示-3

+

最终得出在一个字节下11111101表示-3

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var(--text-strong-color); -} -ul { - list-style: none; -} -button, -input, -select, -textarea { - margin: 0; -} -*, -*::before, -*::after { - box-sizing: inherit; -} -img { - border-style: none; - background-color: transparent; -} -img, -video { - height: auto; - max-width: 100%; -} -iframe { - border: 0; -} -table { - border-collapse: collapse; - border-spacing: 0; -} -td, -th { - padding: 0; -} -td:not([align]), -th:not([align]) { - text-align: left; -} -a { - cursor: pointer; - color: var(--link-color); - text-decoration: none; -} -.post-content a:not([data-nolink]) { - font-weight: 500; - cursor: pointer; - color: var(--text-strong-color); - text-decoration: none; - border-bottom: 1px solid var(--post-link-color); - transition: border-bottom 0.1s; -} -.post-content a:not([data-nolink]):hover { - border-bottom: 2px solid var(--post-link-color); -} -div { - display: block; -} -* { - box-sizing: border-box; -} -html, -body { - height: 100vh; - font-size: 15px; - font-family: -apple-system,BlinkMacSystemFont,"Segoe UI","Helvetica Neue","PingFang SC","Microsoft YaHei",sans-serif; - color: var(--text-color); - background-color: var(--body-background-color); - box-sizing: border-box; - overflow-wrap: break-word; -} -ol ol, -ul ol, -ul ul { - margin-top: 0; - margin-bottom: 0; -} -ol ol, -ul ol { - list-style-type: lower-roman; -} -ol ol ol, -ol ul ol, -ul ol ol, -ul ul ol { - list-style-type: lower-alpha; -} -ol li, -ul li { - margin-top: 0.5rem; - margin-bottom: 0.5rem; -} -li>p { - margin-top: 1rem; -} -li+li { - margin-top: 0.25rem; -} -code, -kbd { - font-size: 0.9rem; - color: var(--code-color); - background-color: var(--code-background-color); - padding: 0.25rem 0.4rem; - overflow-wrap: break-word; - word-wrap: break-word; - border-radius: 0.25rem; - vertical-align: 0.1rem; -} -code[class*=language-] { - margin: 0; - padding: 0; - border-radius: 0; - vertical-align: 0; -} -pre[class*=language-] { - border-radius: 0.3rem !important; -} -table { - display: block; - overflow: auto; - border-spacing: 0; - border-collapse: collapse; -} -tr { - background-color: var(--widget-background-color); -} -td, -th { - border: 0.08rem solid var(--border-color); - padding: 0.5rem 0.75rem; -} -th { - font-weight: 700; - color: var(--title-color); -} -tbody tr:nth-child(odd) { - background-color: var(--tbody-background-color); -} -pre { - overflow: auto; - overflow-wrap: normal; - padding: 1rem; - border-radius: 0.3rem !important; -} -::-webkit-scrollbar { - background-color: transparent; - width: 2px; - height: 3px; - background-clip: padding-box; -} -::-webkit-scrollbar-thumb { - background-color: #e6e8ee; - border-radius: 0.3rem; -} -@media (max-width: 742px) { - #dark { - display: none; - } - #search { - display: none; - } -} -:root { - --text-color: #3c4858; - --text-strong-color: #2f3d4e; - --text-light-color: #60656a; - --text-white-color: #fff; - --divider-color: #e6e8ee; - --title-color: #475b6d; - --link-color: #3273dc; - --post-link-color: #d71a1b; - --link-hover-color: #6596e5; - --info-text-color: #60656a; - --widget-background-color: #fff; - --body-background-color: #f2f5f8; - --badge-background-color: #edeff3; - --badge-hover-background-color: #adb7d0; - --border-color: #e1e4e9; - --pre-color: #2d2d2d; - --tbody-background-color: #f4f5f7; - --code-color: #50687c; - --code-background-color: #e9eaf0; - --blue-tag-color: #3273dc; - --blockquote-color: #f9f8f7; - --note-primary-border-color: #428bca; - --note-primary-color: #daf3fc; - --note-success-border-color: #5cb85c; - --note-success-color: #ebfbe2; - --note-info-border-color: #5bc0de; - --note-info-color: #dffdfb; - --note-warning-border-color: #f0ad30; - --note-warning-color: #fef5d5; - --note-danger-border-color: #d9534f; - --note-danger-color: #fde8dc; - --highlight-comment-color: #999; - --highlight-tag-color: #e2777a; - --highlight-attr-color: #6196cc; - --highlight-literal-color: #f08d49; - --highlight-keyword-color: #cc99cd; - --highlight-string-color: #7ec699; - --highlight-builtin-color: #67cdcc; - --base-shadow-color: 0deg, 0%, 72%; - --around-shadow-style: 0.3px 0.2px 0.3px rgba(184,184,184,0.4), 0.7px 0.5px 0.8px -1.3px rgba(184,184,184,0.32), 1.9px 1.4px 2.1px -2.7px rgba(184,184,184,0.25), 5.2px 3.8px 5.8px -4px rgba(184,184,184,0.17); - --tag-shadow-style: 0 2px 4px 0 rgba(0,0,0,0.2); - --image-filter-style: none; -} -@media (prefers-color-scheme: dark) { - :root:not([data-user-color-scheme]) { - --text-color: #c4c6c9; - --text-strong-color: #fff; - --text-light-color: #909faf; - --text-white-color: #fff; - --divider-color: #a09c9c; - --title-color: #c4c6c9; - --link-color: #74a9ff; - --link-hover-color: #6596e5; - --post-link-color: #d71a1b; - --info-text-color: #909faf; - --widget-background-color: #1c1c1e; - --body-background-color: #0d0d0d; - --badge-background-color: #485061; - --badge-hover-background-color: #818CA0; - --border-color: #435266; - --pre-color: #3c495b; - --tbody-background-color: #3c495b; - --code-color: #c3c7cb; - --code-background-color: #3e4b5e; - --blue-tag-color: $dark-blue-tag-color; - --blockquote-color: #181c27; - --note-primary-border-color: #0c2760; - --note-primary-color: #456d92; - --note-success-border-color: #11582a; - --note-success-color: #549148; - --note-info-border-color: #113c6a; - --note-info-color: #2a6279; - --note-warning-border-color: #733f09; - --note-warning-color: #937c43; - --note-danger-border-color: #680f2a; - --note-danger-color: #925346; - --around-shadow-style: none; - --tag-shadow-style: none; - --image-filter-style: brightness(0.6) contrast(1.2); - } -} -[data-user-color-scheme='dark'] { - --text-color: #c4c6c9; - --text-strong-color: #fff; - --text-light-color: #909faf; - --text-white-color: #fff; - --divider-color: #a09c9c; - --title-color: #c4c6c9; - --link-color: #74a9ff; - --link-hover-color: #6596e5; - --post-link-color: #d71a1b; - --info-text-color: #909faf; - --widget-background-color: #1c1c1e; - --body-background-color: #0d0d0d; - --badge-background-color: #485061; - --badge-hover-background-color: #818CA0; - --border-color: #435266; - --pre-color: #3c495b; - --tbody-background-color: #3c495b; - --code-color: #c3c7cb; - --code-background-color: #3e4b5e; - --blue-tag-color: $dark-blue-tag-color; - --blockquote-color: #181c27; - --note-primary-border-color: #0c2760; - --note-primary-color: #456d92; - --note-success-border-color: #11582a; - --note-success-color: #549148; - --note-info-border-color: #113c6a; - --note-info-color: #2a6279; - --note-warning-border-color: #733f09; - --note-warning-color: #937c43; - --note-danger-border-color: #680f2a; - --note-danger-color: #925346; - --around-shadow-style: none; - --tag-shadow-style: none; - --image-filter-style: brightness(0.6) contrast(1.2); -} -code, -pre { - font-family: 'Fira Code', 'Consolas', monospace !important; -} -code[class*='hljs'], -pre[class*='highlight'], -code[class*='language'] { - color: #ccc; - background: none; - font-size: 1rem !important; - padding: 0; - margin-left: 0; - text-align: left; - white-space: pre; - word-spacing: normal; - word-break: normal; - word-wrap: normal; - line-height: 1.5; - -moz-tab-size: 4; - -o-tab-size: 4; - tab-size: 4; - -webkit-hyphens: none; - -ms-hyphens: none; - hyphens: none; - overflow-x: auto; -} -pre[class*='highlight'] { - padding: 1em; - margin: 0.5em 0; - border-radius: 0.3rem; - overflow: auto; - white-space: pre; - overflow-wrap: normal; -} -pre[class*='highlight']::-webkit-scrollbar { - display: none; -} -:not(pre) > code[class*='hljs'], -pre[class*='highlight'] { - background: var(--pre-color); -} -:not(pre) > code[class*='hljs'] { - padding: 0.1em; - border-radius: 0.3em; - white-space: normal; -} -.hljs-comment, -.hljs-block-comment, -.hljs-prolog, -.hljs-doctype, -.hljs-cdata { - color: var(--highlight-comment-color); -} -.hljs-tag { - color: var(--highlight-tag-color); -} -.hljs-title, -.hljs-attr { - color: var(--highlight-attr-color); -} -.hljs-boolean, -.hljs-number, -.hljs-literal { - color: var(--highlight-literal-color); -} -.hljs-selector, -.hljs-important, -.hljs-atrule, -.hljs-keyword { - color: var(--highlight-keyword-color); -} -.hljs-string, -.hljs-char, -.hljs-attr-value, -.hljs-regex, -.hljs-variable { - color: var(--highlight-string-color); -} -.hljs-operator, -.hljs-entity, -.hljs-url, -.hljs-built_in { - color: var(--highlight-builtin-color); -} -.archive-card { - width: 100%; -} -.archive-card-header { - margin-bottom: 6px; - font-size: 15px; -} -.archive-card-header .iconfont { - font-size: 15px; -} -.archive-card-list-item { - display: block; - color: var(--text-color); - font-size: 1rem; - padding: 6px 8px; - transition: background-color 0.4s; - border-radius: 0.3rem; -} -.archive-card-list-item:hover { - cursor: pointer; - background-color: var(--badge-background-color); -} -.archive-card-list-item + .archive-card-list-item { - margin-top: 3px; -} -.archive-card-list-item-badge { - float: right; - margin-right: 10px; - font-size: 0.8rem; - background-color: var(--badge-background-color); - transition: all 0.4s; - padding: 2px 7px; - text-align: center; - border-radius: 0.3rem; -} -@media (max-width: 862px) { - .archive-widget { - display: none; - } -} -.card-author { - margin-bottom: 1.5rem; - display: flex; - flex-direction: column; - align-items: center; -} -.author-img { - transition: all 0.5s; -} -.author-name { - margin-top: 0.7rem; - font-size: 1.5rem; -} -.author-description { - margin-top: 0.5rem; - font-size: 1rem; -} -.author-message { - margin-top: 1.2rem; - width: 100%; - display: flex; - justify-content: center; - flex-direction: row; -} -.author-message > a { - padding: 0 16px; - color: var(--text-color); - display: flex; - flex-direction: column; - align-items: center; -} -.author-message > a > span { - font-size: 1.3rem; -} -.author-message > a > span + span { - font-size: 0.9rem; -} -.author-card-society { - display: flex; - flex-direction: row; - justify-content: center; - align-items: center; - margin-top: 1rem; -} -.author-card-society .author-card-society-icon { - padding: 0 7px; -} -.author-card-society .author-card-society-icon a { - color: var(--text-color); -} -.author-card-society .author-card-society-icon a:hover { - color: var(--link-hover-color); -} -.author-card-society .author-card-society-icon a .iconfont { - font-size: 1.3rem; -} -@media (max-width: 862px) { - .card-author { - display: none; - margin-bottom: 0.8rem; - } -} -.basebutton { - display: flex; - cursor: pointer; - position: fixed; - width: 44px; - height: 44px; - border-radius: 50%; - box-shadow: var(--around-shadow-style); - justify-content: center; - align-items: center; - background-color: var(--widget-background-color); - transition: all 0.3s; -} -#scrollbutton { - transform: rotate(90deg); - display: flex; - opacity: 0; - bottom: 32px; - right: 32px; -} -#scrollbutton .button-icon { - font-size: 1rem; - font-weight: bold; -} -#menubutton { - display: flex; - opacity: 0; - bottom: 32px; - right: 32px; -} -#menubutton .button-icon { - font-size: 1.15rem; - font-weight: bold; -} -#popbutton { - z-index: 10; - bottom: 32px; - right: 32px; -} -#popbutton .button-icon { - font-size: 0.9rem; - font-weight: bold; -} -#darkbutton { - display: flex; - opacity: 0; - bottom: 32px; - right: 32px; -} -#darkbutton .button-icon { - font-size: 1rem; -} -#searchbutton { - display: flex; - opacity: 0; - bottom: 32px; - right: 32px; -} -#searchbutton .button-icon { - font-size: 1rem; -} -.postbutton { - cursor: pointer; - background-color: var(--link-color); - border-radius: 4px; - font-size: 1rem; - padding: 4px 10px; - border: none; - color: #fff; -} -.postbutton:hover { - background-color: var(--link-hover-color); -} -.postbutton:focus { - outline: none; -} -.card { - border-radius: .5rem; - background-color: var(--widget-background-color); - max-width: 100%; - box-shadow: var(--around-shadow-style); - transition: background-color 0.3s; -} -.image-wrapper+.card { - border-radius: 0 0 .5rem .5rem; -} -.card +.card, -.card +.archive-timeline { - margin-top: 1.5rem; -} -.card-content, -.card-author { - background-color: var(--widget-background-color); - transition: background-color 0.3s; - padding: 1.5rem; -} -.post-title, -.card-excerpt { - margin-bottom: 0.8rem; -} -.post-title { - font-size: 1.4rem; - font-weight: 400; - padding-bottom: 0.4rem; - color: var(--title-color); - line-height: 1.125; -} -.card-post-footer { - display: flex; - justify-content: space-between; - padding: 0; -} -.card-post-footer a:hover { - color: var(--link-hover-color); -} -.post-meta, -.post-meta-link { - color: var(--text-light-color); - padding: 0 2px; -} -.dot::after { - content: '·'; -} -@media (max-width: 862px) { - .card +.card { - margin-top: 0.8rem; - } -} -.categories-card { - width: 100%; -} -.categories-header { - margin-bottom: 6px; - font-size: 15px; -} -.categories-header .iconfont { - font-size: 15px; -} -.categories-list-item { - color: var(--text-color); - padding: 6px 8px; - font-size: 1rem; - border-radius: .5rem; - transition: background-color 0.4s ease-in-out; -} -.categories-list-item:hover { - cursor: pointer; - background-color: var(--badge-background-color); -} -.categories-list-item + .categories-list-item { - margin-top: 3px; -} -.categories-list-item-badge { - float: right; - margin-right: 10px; - font-size: 0.8rem; - background-color: var(--badge-background-color); - padding: 2px 7px; - text-align: center; - border-radius: .2rem; -} -@media (max-width: 862px) { - .categories-widget { - display: none; - } -} -.image-wrapper { - overflow: hidden; - display: block; - width: 100%; - height: 0; - position: relative; - background-color: var(--widget-background-color); - border-radius: 0.5rem 0.5rem 0 0; -} -.image-wrapper .image { - -o-object-fit: cover; - object-fit: cover; - width: 100%; - -webkit-filter: var(--image-filter-style); - filter: var(--image-filter-style); - position: absolute; - transition: -webkit-filter 0.4s ease 0s; - transition: filter 0.4s ease 0s; - transition: filter 0.4s ease 0s, -webkit-filter 0.4s ease 0s; -} -.image-wrapper .image:not(.loaded) { - -webkit-filter: blur(5px) var(--image-filter-style); - filter: blur(5px) var(--image-filter-style); -} -.post-image { - margin: auto; - -webkit-filter: var(--image-filter-style); - filter: var(--image-filter-style); - transition: -webkit-filter 0.4s ease 0s; - transition: filter 0.4s ease 0s; - transition: filter 0.4s ease 0s, -webkit-filter 0.4s ease 0s; -} -.post-image:not(.loaded) { - -webkit-filter: blur(5px); - filter: blur(5px); -} -@media screen and (min-width: 768px) { - .image-wrapper { - padding-bottom: 300px; - } - .image-wrapper .image { - height: 300px; - } -} -@media screen and (max-width: 767px) { - .image-wrapper { - height: 16.48rem; - } - .image-wrapper .image { - height: 16.48rem; - } -} -.columns, -.left-column, -.main-column, -.right-column { - display: block; - padding: 0.5rem 0.25rem; -} -.left-column .sticky-tablet > div { - margin-bottom: 0.8rem; -} -.main-column { - content-visibility: auto; -} -.right-column, -.left-column { - display: none; -} -@media screen and (min-width: 862px) { - .columns { - display: flex; - } - .left-column, - .right-column { - width: 33.33333333333333%; - } - .main-column { - width: 66.66666666666666%; - } -} -@media screen and (min-width: 1280px) { - .left-column .display-when-two-columns, - .widescreen-archive { - display: none; - } - .main-column { - width: 52%; - } - .left-column, - .right-column { - width: 24%; - } - .right-column, - .left-column { - display: block; - } -} -@media screen and (min-width: 1280px) { - .sticky-widescreen { - position: -webkit-sticky; - position: sticky; - top: 1.5rem; - } -} -@media screen and (min-width: 862px) { - .columns, - .left-column, - .main-column, - .right-column { - padding: 0.75rem; - } - .sticky-tablet { - position: -webkit-sticky; - position: sticky; - top: 1.5rem; - } - .left-column .sticky-tablet > div { - margin-bottom: 1.5rem; - } -} -.container, -.footer-container, -.navbar-container { - flex-grow: 1; - width: 100%; - margin: 0 auto; -} -@media screen and (min-width: 1088px) { - .footer-container { - max-width: 992px; - } -} -@media screen and (min-width: 1280px) { - .footer-container { - max-width: 1184px; - } -} -.footer { - font-size: 0.9rem; - background-color: var(--widget-background-color); - transition: background-color 0.3s; - width: 100%; - box-shadow: var(--around-shadow-style); - padding: 1.5rem 1rem 1.5rem; - bottom: 0; -} -.footer-container { - color: var(--info-text-color); - display: block; - justify-content: space-between; -} -.footer-container a { - color: var(--text-strong-color); -} -.footer-container a:hover { - color: var(--link-hover-color); -} -.footer-dsc { - margin-bottom: 6px; - display: flex; - justify-content: center; - align-items: center; -} -.BbeiAn-info { - display: flex; - justify-content: center; -} -.friend-card { - overflow: hidden; -} -.friend-links { - display: flex; - flex-wrap: wrap; -} -.friend-item { - width: 33.33333333333333%; - padding: 6px 12px; - margin: 8px 0; - border-radius: .5rem; -} -.friend-item:hover { - background-color: var(--badge-background-color); - transition: background-color 0.3s; - transition-duration: 0.3s; - transition-timing-function: ease-in-out; -} -.friend-item-card { - display: block; - width: 100%; - height: 100%; -} -.friend-item-content { - display: flex; - align-items: center; -} -.friend-text { - width: 56%; - display: flex; - flex-direction: column; -} -.friend-name { - max-width: 100%; - overflow: hidden; - text-overflow: ellipsis; - white-space: nowrap; - color: var(--text-strong-color); - font-size: 1.15rem; - max-height: 24.8px; -} -.friend-dsc { - max-width: 100%; - overflow: hidden; - text-overflow: ellipsis; - white-space: nowrap; - color: var(--info-text-color); - font-size: 0.9rem; - max-height: 19.2px; -} -.friend-avatar { - height: 44px; - width: 44px; - margin-right: 14px; -} -@media (max-width: 968px) { - .friend-item { - width: 50%; - } -} -@media (max-width: 742px) { - .friend-item { - width: 100%; - } -} -.navbar { - background-color: var(--widget-background-color); - transition: background-color 0.3s; - height: 3.5rem; - box-shadow: var(--around-shadow-style); - display: flex; - align-items: stretch; -} -.navbar-logo { - display: inline-block; - margin-left: 96px; -} -.navbar-logo-main { - display: inline-flex; - height: 100%; - align-items: center; - justify-content: space-around; - padding: 0.7rem 0.6rem; - color: var(--text-color); -} -.navbar-logo-dsc { - font-size: 1.3rem; -} -.navbar-logo-img { - margin-right: 10px; -} -.navbar-menu { - font-size: 1rem; - display: flex; - align-items: center; -} -.navbar-menu a { - display: inline-flex; - height: 100%; - align-items: center; - color: var(--text-color); - cursor: pointer; - padding: 0.7rem 0.6rem; -} -.navbar-menu a:hover { - color: var(--link-hover-color); -} -.navbar-menu-btn { - background: none; - border: none; - display: flex; - align-items: center; - color: var(--text-color); -} -.navbar-menu-btn:hover { - cursor: pointer; -} -@media (max-width: 1088px) { - .navbar { - min-height: 90px; - display: block; - } - .navbar-logo { - margin-left: 0; - display: block; - } - .navbar-logo-main { - display: flex; - justify-content: center; - } - .navbar-menu { - width: 100%; - display: flex; - margin-right: 0; - justify-content: center; - } -} -@media (max-width: 586px) { - .navbar-menu { - display: flex; - justify-content: space-evenly; - } -} -.nav { - display: flex; - flex-direction: row; - margin-top: 1.5rem; -} -.nav-item-prev, -.nav-item-next { - display: flex; - flex: 50%; -} -.nav-next-icon { - margin-left: 0.7rem; -} -.nav-prev-icon { - margin-right: 0.7rem; -} -.nav-item-prev { - justify-content: flex-start; - text-align: left; -} -.nav-item-next { - justify-content: flex-end; - text-align: right; -} -.nav-link { - display: flex; - flex-direction: row; - align-items: center; - padding: 0 0.5rem; -} -.nav-prev-icon, -.nav-next-icon { - color: var(--text-light-color); - width: 0.65rem; -} -.nav-label { - font-size: 0.9rem; - font-weight: 500; - line-height: 1.6rem; - color: var(--text-light-color); -} -.nav-title { - font-size: 1rem; - font-weight: 500; - line-height: 1.2rem; - color: var(--text-color); -} -.post-show-meta { - margin-bottom: 1rem; -} -.post-content dl + *, -.post-content ol + *, -.post-content ul + *, -.post-content blockquote + *, -.post-content h6 + *, -.post-content figure + *, -.post-content pre + *, -.post-content p + *, -.post-content table + * { - margin-top: 1em; -} -.post-content p { - line-height: 1.8rem; -} -.post-content blockquote { - margin-top: 1rem; - padding: 1rem; - background-color: var(--blockquote-color); - transition: background-color 0.3s; - border-left: 0.25rem solid var(--border-color); -} -.post-content blockquote p { - margin-bottom: 0; -} -.post-content ul { - list-style: disc; - margin-left: 1.2em; -} -.post-content ol { - list-style-position: outside; - margin-left: 1.2em; - margin-top: 0; -} -.post-content ol:not([type]) { - list-style-type: decimal; -} -.post-content h1, -.post-content h2 { - padding-bottom: 0.35rem; - border-bottom: 1px solid var(--border-color); -} -.katex-block { - overflow-x: auto; -} -mjx-container { - overflow-x: auto; - overflow-y: hidden; -} -mjx-container:focus, -mjx-container svg:focus { - outline: none; -} -.post-note { - margin-top: 1rem; - margin-bottom: 1rem; - padding: 1rem; - border-radius: 0.2rem; - border-left-width: 0.25rem; - border-left-style: solid; -} -.post-note p { - margin-bottom: 0; -} -.copyright a { - color: var(--text-color); - font-weight: bold; -} -.copyright p + p { - margin-top: 8px; -} -.note-default { - background-color: var(--blockquote-color); - border-left-color: var(--border-color); - transition: background-color 0.3s; -} -.note-primary { - border-left-color: var(--note-primary-border-color); - background-color: var(--note-primary-color); - transition: background-color 0.3s; -} -.note-success { - border-left-color: var(--note-success-border-color); - background-color: var(--note-success-color); - transition: background-color 0.3s; -} -.note-info { - border-left-color: var(--note-info-border-color); - background-color: var(--note-info-color); - transition: background-color 0.3s; -} -.note-warning { - border-left-color: var(--note-warning-border-color); - background-color: var(--note-warning-color); - transition: background-color 0.3s; -} -.note-danger { - border-left-color: var(--note-danger-border-color); - background-color: var(--note-danger-color); - transition: background-color 0.3s; -} -.image-wrapper { - overflow: hidden; - display: block; - width: 100%; - height: 0; - position: relative; - background-color: var(--widget-background-color); - border-radius: 0.5rem 0.5rem 0 0; -} -.image-wrapper .image { - -o-object-fit: cover; - object-fit: cover; - width: 100%; - -webkit-filter: var(--image-filter-style); - filter: var(--image-filter-style); - position: absolute; - transition: -webkit-filter 0.4s ease 0s; - transition: filter 0.4s ease 0s; - transition: filter 0.4s ease 0s, -webkit-filter 0.4s ease 0s; -} -.image-wrapper .image:not(.loaded) { - -webkit-filter: blur(5px) var(--image-filter-style); - filter: blur(5px) var(--image-filter-style); -} -.post-image { - margin: auto; - -webkit-filter: var(--image-filter-style); - filter: var(--image-filter-style); - transition: -webkit-filter 0.4s ease 0s; - transition: filter 0.4s ease 0s; - transition: filter 0.4s ease 0s, -webkit-filter 0.4s ease 0s; -} -.post-image:not(.loaded) { - -webkit-filter: blur(5px); - filter: blur(5px); -} -@media screen and (min-width: 768px) { - .image-wrapper { - padding-bottom: 300px; - } - .image-wrapper .image { - height: 300px; - } -} -@media screen and (max-width: 767px) { - .image-wrapper { - height: 16.48rem; - } - .image-wrapper .image { - height: 16.48rem; - } -} -.recent-posts-header { - margin-bottom: 16px; - font-size: 15px; -} -.recent-posts-header .iconfont { - font-size: 15px; -} -.recent-posts-item { - padding-left: 6px; -} -.recent-posts-item:last-child .divider { - display: none; -} -.recent-posts-item + .recent-posts-item { - margin-top: 10px; -} -.recent-posts-item-title { - font-size: 0.9rem; -} -.recent-posts-item-content { - color: var(--text-color); - margin-top: 6px; - font-size: 1rem; - padding: 6px 0; - padding-left: 8px; - transition: background-color 0.4s ease-in-out; - border-radius: .5rem; -} -.recent-posts-item-content:hover { - cursor: pointer; - background-color: var(--badge-background-color); -} -#search { - font-weight: bold; -} -#search-input { - background-color: var(--widget-background-color); - margin-top: 12px; - z-index: 20; - position: fixed; - left: 10%; - width: 80%; - height: 44px; - padding: 8px 12px; - border-radius: .5rem; - border: 1px solid var(--divider-color); - color: var(--text-color); - font-size: 14px; -} -#search-input:focus { - outline: none; -} -#search-content { - max-height: 800px; - overflow: auto; - position: fixed; - z-index: 20; - margin-top: 64px; - left: 10%; - width: 80%; -} -#search-content .local-search-empty { - color: var(--info-text-color); - line-height: 44px; - text-align: center; - display: block; -} -#search-content ul { - overflow-y: auto; - border: 1px solid var(--divider-color); - padding: 10px 20px; - background: var(--widget-background-color); - box-shadow: 1px 2px 4px var(--divider-color); -} -#search-content ul li { - text-align: left; - border-bottom: 1px solid var(--divider-color); - padding-bottom: 20px; - margin-bottom: 20px; - line-height: 30px; - font-weight: normal; -} -#search-content ul li:last-child { - border-bottom: none; - margin-bottom: 0; -} -#search-content ul li a { - margin-top: 20px; - font-size: 1rem; -} -#search-content ul li p { - margin-top: 10px; - font-size: 14px; - max-height: 124px; - overflow: hidden; -} -#search-content ul li .search-keyword { - color: var(--note-danger-border-color); - font-style: normal; -} -.section-wrap { - display: flex; - justify-content: center; - padding: 1.3rem 1rem; -} -.wrapper { - min-height: 100%; -} -@media (max-width: 862px) { - .section-wrap { - padding: 0.8rem 0.4rem; - } -} -.categories-card { - width: 100%; -} -.tags-header { - margin-bottom: 12px; - font-size: 15px; -} -.tags-header .iconfont { - font-size: 15px; -} -.tags-list { - overflow: hidden; -} -.tags-list-item { - height: 28px; - display: flex; - flex-direction: row; - align-items: center; - color: var(--text-color); - float: left; - margin: 3px 6px; - font-size: 1rem; - background-color: var(--badge-background-color); - transition: background-color 0.3s; - padding: 3px 7px; - text-align: center; - border-radius: .5rem; -} -.tags-list-item:hover { - cursor: pointer; - background-color: var(--badge-hover-background-color); - transition: background-color 0.3s; -} -.tag-page-card { - margin-bottom: 24px; -} -@media (max-width: 862px) { - .tags-widget { - display: none; - } -} -.toc-card { - margin-bottom: 1.5rem; -} -.toc-header { - margin-bottom: 6px; - font-size: 15px; -} -.toc-header .iconfont { - font-size: 1.15rem; -} -.toc { - overflow: auto; - max-height: calc(100vh - 30rem); - padding-right: 1rem; -} -.toc ol, -.toc li { - list-style-type: none; -} -.toc a { - color: var(--text-color); - display: block; - padding: 0.3rem 0.65rem; - border-radius: .5rem; -} -.toc a:hover { - background-color: var(--badge-background-color); - transition: background-color 0.3s; -} -.toc-child { - margin-left: 0.8rem; - position: relative; -} -.toc-child::before { - content: ''; - position: absolute; - top: 0; - width: 1px; - background-color: var(--badge-background-color); - transition: background-color 0.3s; - height: 100%; -} -.toc-child > li { - margin-left: 0.7rem; -} -.toc-item { - margin-bottom: 0; - margin-top: 0; -} -#mobiletoc { - display: none; -} -#mask { - position: fixed; - left: 0; - right: 0; - top: 0; - bottom: 0; - background-color: #000; - opacity: 0.6; -} -@media (max-width: 862px) { - .toc-card { - display: none; - position: fixed; - bottom: 0; - left: 0; - right: 0; - margin: 0.8rem 1.2rem; - z-index: 20; - } -} -.archive-timeline-tag { - box-shadow: var(--tag-shadow-style); - background-color: #3273dc; - transition: background-color 0.3s; - border-radius: 0.3rem; - max-width: 66px; - height: 32px; - display: flex; - justify-content: center; - align-items: center; - color: var(--text-white-color); - margin: 12px 0; -} -.archive-timeline-item { - position: relative; - margin-left: 12px; -} -.archive-timeline-post { - margin-left: 10px; - padding: 6px 6px; -} -.archive-timeline-post-content { - margin-top: 12px; - font-size: 1.15rem; -} -.archive-timeline-post-item { - color: var(--text-font-color); -} -@media (max-width: 862px) { - .archive-timeline-item { - margin-left: 18px; - } - .archive-timeline-post { - margin-left: 8px; - } -} -.categories-page-title { - font-size: 1.15rem; -} -.category-page-card { - margin-bottom: 24px; -} -.categories-page-card { - display: flex; - flex-wrap: wrap; -} -.categories-page-list-item { - width: 33.33333333333333%; - display: flex; - color: var(--text-color); - font-size: 1.15rem; - flex-direction: column; - align-items: center; - justify-content: center; - padding: 8px 20px; -} -.categories-page-list-item:hover { - cursor: pointer; - border-radius: 0.3rem; - background-color: var(--badge-background-color); - transition: background-color 0.3s; - transition-duration: 0.3s; - transition-timing-function: ease-in-out; -} -.categories-page-list-item + .categories-page-list-item { - margin-top: 0.4rem; -} -.categories-page-list-item-total { - font-size: 0.9rem; -} -@media (max-width: 968px) { - .categories-page-list-item { - width: 50%; - } -} -@media (max-width: 742px) { - .categories-page-list-item { - width: 100%; - flex-direction: row; - justify-content: space-between; - align-content: center; - } -} -.tags-page-title { - font-size: 1.3rem; -} -.about-card { - display: flex; - flex-direction: row; - justify-content: center; - align-items: center; -} -.about-card-avatar { - width: 150px; - height: 150px; - margin-right: 90px; -} -.about-card-content { - display: flex; - flex-direction: column; - align-items: center; - justify-content: center; -} -.about-card-author { - margin-top: 12px; - font-size: 1.5rem; -} -.about-card-dsc { - margin-top: 6px; - color: var(--text-light-color); -} -.about-card-society { - margin-top: 8px; - display: flex; - flex-direction: row; -} -.about-card-society-icon { - padding: 0 5px; -} -.about-card-society-icon .society-icon { - font-size: 22px; - color: var(--text-strong-color); -} -@media (max-width: 862px) { - .about-card { - flex-direction: column; - } - .about-card-avatar { - margin-right: 0; - } -} -.comment-card-title { - font-size: 1.15rem; - margin-bottom: 16px; -} -.widget-title { - font-size: 1.3rem; - font-weight: bold; -} -.token.operator, -.token.entity, -.token.url, -.language-css .token.string, -.style .token.string { - background: none !important; -} diff --git a/css/style.css b/css/style.css new file mode 100644 index 0000000..7f71257 --- /dev/null +++ b/css/style.css @@ -0,0 +1,1643 @@ +body { + width: 100%; +} +body:before, +body:after { + content: ""; + display: table; +} +body:after { + clear: both; +} +.article-date, +.article-category-link, +.archive-year { + text-decoration: none; + color: #999; + margin-bottom: 1em; + line-height: 1em; + font-weight: bold; +} +.article-inner { + background: #fff; + border-bottom: 1px solid #ddd; +} +.article-entry h1 { + font-size: 2em; +} +.article-entry h2 { + font-size: 1.5em; +} +.article-entry h3 { + font-size: 1.3em; +} +.article-entry h4 { + font-size: 1.2em; +} +.article-entry h5 { + font-size: 1em; +} +.article-entry h6 { + font-size: 1em; + color: #999; +} +.article-entry hr { + border: 0.5px solid #ddd; +} +.article-entry strong { + font-weight: bold; +} +.article-entry em, +.article-entry cite { + font-style: italic; +} +.article-entry sup, +.article-entry sub { + font-size: 0.75em; + line-height: 0; + position: relative; + vertical-align: baseline; +} +.article-entry sup { + top: -0.5em; +} +.article-entry sub { + bottom: -0.2em; +} +.article-entry small { + font-size: 0.85em; +} +.article-entry acronym, +.article-entry abbr { + border-bottom: 1px dotted; +} +.article-entry ul, +.article-entry ol, +.article-entry dl { + margin: 0 30px; + line-height: 1.6em; +} +.article-entry ul ul, +.article-entry ol ul, +.article-entry ul ol, +.article-entry ol ol { + margin-top: 0; + margin-bottom: 0; +} +.article-entry ul { + list-style: disc; +} +.article-entry ol { + list-style: decimal; +} +.article-entry dt { + font-weight: bold; +} +.article-with-titlenum { + counter-reset: h2; +} +.article-with-titlenum h2 { + counter-reset: h3; +} +.article-with-titlenum h2:before { + padding-right: 1em; + counter-increment: h2; + content: counter(h2); +} +.article-with-titlenum h3 { + counter-reset: h4; +} +.article-with-titlenum h3:before { + padding-right: 1em; + counter-increment: h3; + content: counter(h2) "." counter(h3); +} +.article-with-titlenum h4 { + counter-reset: h5; +} +.article-with-titlenum h4:before { + padding-right: 1em; + counter-increment: h4; + content: counter(h2) "." counter(h3) "." counter(h4); +} +.article-with-titlenum h5 { + counter-reset: h6; +} +.article-with-titlenum h5:before { + padding-right: 1em; + counter-increment: h5; + content: counter(h2) "." counter(h3) "." counter(h4) "." counter(h5); +} +@media screen { + #content, + .outer { + width: 44em; + } +} +@media screen and (max-width: 810px) { + #content, + .outer { + width: 43em; + } +} +@media screen and (max-width: 790px) { + #content, + .outer { + width: 42em; + } +} +@media screen and (max-width: 770px) { + #content, + .outer { + width: 41em; + } +} +@media screen and (max-width: 750px) { + #content, + .outer { + width: 40em; + } +} +@media screen and (max-width: 730px) { + #content, + .outer { + width: 39em; + } +} +@media screen and (max-width: 710px) { + #content, + .outer { + width: 38em; + } +} +@media screen and (max-width: 690px) { + #content, + .outer { + width: 37em; + } +} +@media screen and (max-width: 670px) { + #content, + .outer { + width: 36em; + } +} +@media screen and (max-width: 650px) { + #content, + .outer { + width: 35em; + } +} +@media screen and (max-width: 630px) { + #content, + .outer { + width: 34em; + } +} +@media screen and (max-width: 610px) { + #content, + .outer { + width: 33em; + } +} +@media screen and (max-width: 590px) { + #content, + .outer { + width: 32em; + } +} +@media screen and (max-width: 570px) { + #content, + .outer { + width: 31em; + } +} +@media screen and (max-width: 550px) { + #content, + .outer { + width: 30em; + } +} +@media screen and (max-width: 530px) { + #content, + .outer { + width: 29em; + } +} +@media screen and (max-width: 510px) { + #content, + .outer { + width: 28em; + } +} +@media screen and (max-width: 490px) { + #content, + .outer { + width: 27em; + } +} +@media screen and (max-width: 470px) { + #content, + .outer { + width: 26em; + } +} +@media screen and (max-width: 454px) { + #content, + .outer { + width: 25em; + } +} +@media screen and (max-width: 438px) { + #content, + .outer { + width: 24em; + } +} +@media screen and (max-width: 422px) { + #content, + .outer { + width: 23em; + } +} +@media screen and (max-width: 406px) { + #content, + .outer { + width: 22em; + } +} +@media screen and (max-width: 390px) { + #content, + .outer { + width: 21em; + } +} +@media screen and (max-width: 374px) { + #content, + .outer { + width: 20em; + } +} +@media screen and (max-width: 358px) { + #content, + .outer { + width: 19em; + } +} +@media screen and (max-width: 342px) { + #content, + .outer { + width: 18em; + } +} +@media screen and (max-width: 326px) { + #content, + .outer { + width: 17em; + } +} +@media screen and (max-width: 310px) { + #content, + .outer { + width: 16em; + } +} +html, +body, +div, +span, +applet, +object, +iframe, +h1, +h2, +h3, +h4, +h5, +h6, +p, +blockquote, +pre, +a, +abbr, +acronym, +address, +big, +cite, +code, +del, +dfn, +em, +img, +ins, +kbd, +q, +s, +samp, +small, +strike, +strong, +sub, +sup, +tt, +var, +dl, +dt, +dd, +ol, +ul, +li, +fieldset, +form, +label, +legend, +table, +caption, +tbody, +tfoot, +thead, +tr, +th, +td { + margin: 0; + padding: 0; + border: 0; + outline: 0; + font-weight: inherit; + font-style: inherit; + font-family: inherit; + font-size: 100%; + vertical-align: baseline; +} +body { + line-height: 1; + color: #000; + background: #fff; +} +ol, +ul { + list-style: none; +} +table { + border-collapse: separate; + border-spacing: 0; + vertical-align: middle; +} +caption, +th, +td { + text-align: left; + font-weight: normal; + vertical-align: middle; +} +a img { + border: none; +} +input, +button { + margin: 0; + padding: 0; +} +input::-moz-focus-inner, +button::-moz-focus-inner { + border: 0; + padding: 0; +} +@font-face { + font-family: FontAwesome; + font-style: normal; + font-weight: normal; + src: url("fonts/fontawesome-webfont.eot?v=4.7.0"); + src: url("fonts/fontawesome-webfont.eot?#iefix&v=4.7.0") format("embedded-opentype"), url("fonts/fontawesome-webfont.woff2?v=4.7.0") format("woff2"), url("fonts/fontawesome-webfont.woff?v=4.7.0") format("woff"), url("fonts/fontawesome-webfont.ttf?v=4.7.0") format("truetype"), url("fonts/fontawesome-webfont.svg?v=4.7.0#fontawesomeregular") format("svg"); +} +@font-face { + font-family: LM-Mono-10; + font-style: normal; + font-weight: normal; + src: url("fonts/lmmono10-regular.ttf"); +} +@font-face { + font-family: LM-Mono-10; + font-style: italic; + font-weight: normal; + src: url("fonts/lmmono10-italic.ttf"); +} +@font-face { + font-family: LM-Roman-10; + font-style: normal; + font-weight: normal; + src: url("fonts/lmroman10-regular.ttf"); +} +@font-face { + font-family: LM-Roman-10; + font-style: italic; + font-weight: normal; + src: url("fonts/lmroman10-italic.ttf"); +} +@font-face { + font-family: LM-Roman-10; + font-style: normal; + font-weight: bold; + src: url("fonts/lmroman10-bold.ttf"); +} +@font-face { + font-family: LM-Roman-10; + font-style: italic; + font-weight: bold; + src: url("fonts/lmroman10-bolditalic.ttf"); +} +@font-face { + font-family: biaodian; + font-style: normal; + font-weight: normal; + src: url("fonts/biaodian-minus59.ttf"); +} +@font-face { + font-family: biaodian; + font-style: italic; + font-weight: normal; + src: url("fonts/biaodian-minus59.ttf"); +} +@font-face { + font-family: biaodian; + font-style: normal; + font-weight: bold; + src: url("fonts/biaodian-minus59.ttf"); +} +@font-face { + font-family: biaodian; + font-style: italic; + font-weight: bold; + src: url("fonts/biaodian-minus59.ttf"); +} +html { + scroll-padding-top: 80px; +} +html, +body, +#container { + height: 100%; +} +body { + background: #fff; + font: 16px "biaodian", "LM-Roman-10", "Chinese", serif, sans-serif; + -webkit-text-size-adjust: 100%; +} +#content { + margin: 0 auto; +} +.outer { + margin: 0 auto; +} +.outer:before, +.outer:after { + content: ""; + display: table; +} +.outer:after { + clear: both; +} +.inner { + display: inline; + float: left; + width: 94.44444444444444%; + margin: 0 2.777777777777778%; +} +.left, +.alignleft { + float: left; +} +.right, +.alignright { + float: right; +} +.clear { + clear: both; +} +#container { + position: relative; +} +.mobile-nav-on { + overflow: hidden; +} +#wrap { + height: 100%; + width: 100%; + position: absolute; + top: 0; + left: 0; + -webkit-transition: 0.2s ease-out; + -moz-transition: 0.2s ease-out; + -ms-transition: 0.2s ease-out; + transition: 0.2s ease-out; + z-index: 1; + background: #fff; + display: -webkit-box; + display: -moz-box; + display: -webkit-flex; + display: -ms-flexbox; + display: box; + display: flex; + -webkit-box-orient: vertical; + -moz-box-orient: vertical; + -webkit-flex-direction: column; + -ms-flex-direction: column; + flex-direction: column; +} +.mobile-nav-on #wrap { + left: 50%; +} +#main-404 { + font-size: 40px; + font-weight: bold; + font-family: "biaodian", "LM-Roman-10", "Chinese", serif; + text-align: center; + margin: 100px 0; +} +a { + -webkit-transition: 0.2s; + -moz-transition: 0.2s; + -ms-transition: 0.2s; + transition: 0.2s; +} +#header { + height: 250px; + position: relative; +} +#header-outer { + height: 100%; + position: relative; +} +#header-inner { + position: relative; + overflow: hidden; +} +#banner { + position: absolute; + top: 0; + left: 0; + width: 100%; + height: 100%; + background: #fff; + background-size: cover; + z-index: -1; +} +#header-title { + text-align: center; + margin: 150px auto 60px; + left: 0; +} +#logo, +#subtitle { + text-decoration: none; + color: #000; + font-weight: 300; +} +#logo { + font-size: 40px; + line-height: 40px; +} +#subtitle { + font-size: 18px; + line-height: 18px; +} +#subtitle-wrap { + margin: 36px 20px 0; +} +#nav-outer { + position: fixed; + width: 100%; + max-width: 100%; + margin: 0 auto; + background: #fff; + z-index: 2; + border-bottom: 1px solid #ddd; +} +#nav-outer :first-child { + padding-left: 0; +} +#nav-outer :nth-child(2) { + padding-left: 0; +} +#nav-outer :last-child { + padding-right: 0; +} +@supports (backdrop-filter: saturate(180%) blur(20px)) { + #nav-outer { + background: rgba(255,255,255,0.732); + backdrop-filter: saturate(180%) blur(20px); + } +} +@supports (-webkit-backdrop-filter: saturate(180%) blur(20px)) { + #nav-outer { + background: rgba(255,255,255,0.732); + -webkit-backdrop-filter: saturate(180%) blur(20px); + } +} +#main-nav { + display: -webkit-box; + display: -moz-box; + display: -webkit-flex; + display: -ms-flexbox; + display: box; + display: flex; + -webkit-box-align: center; + -moz-box-align: center; + -ms-flex-align: center; + -webkit-align-items: center; + align-items: center; +} +.nav-icon, +.main-nav-link { + float: left; + color: #000; + opacity: 0.6; + text-decoration: none; + -webkit-transition: opacity 0.2s; + -moz-transition: opacity 0.2s; + -ms-transition: opacity 0.2s; + transition: opacity 0.2s; + display: block; + padding: 20px 15px; +} +.nav-icon:hover, +.main-nav-link:hover { + opacity: 1; +} +.nav-icon { + font-family: FontAwesome; + text-align: center; + font-size: 16px; + width: 16px; + height: 16px; + padding: 20px 15px; + position: relative; + cursor: pointer; +} +.main-nav-link { + font-size: 18px; +} +@media screen and (max-width: 470px) { + .main-nav-link { + display: none; + } +} +.main-nav-space-between { + height: 1px; + -webkit-box-flex: 1; + -moz-box-flex: 1; + -ms-box-flex: 1; + box-flex: 1; + -webkit-flex-grow: 1; + flex-grow: 1; +} +#main-nav-toggle { + display: none; +} +#main-nav-toggle:before { + content: "\f0c9"; +} +@media screen and (max-width: 470px) { + #main-nav-toggle { + display: block; + } +} +#sub-nav { + float: right; + margin-right: -15px; +} +#nav-rss-link:before { + content: "\f09e"; +} +#nav-search-btn:before { + content: "\f002"; +} +#search-form-wrap { + position: absolute; + top: 15px; + width: 150px; + height: 30px; + right: -150px; + opacity: 0; + -webkit-transition: 0.2s ease-out; + -moz-transition: 0.2s ease-out; + -ms-transition: 0.2s ease-out; + transition: 0.2s ease-out; +} +#search-form-wrap.on { + opacity: 1; + right: 0; +} +@media screen and (max-width: 470px) { + #search-form-wrap { + width: 100%; + right: -100%; + } +} +.search-form { + position: absolute; + top: 0; + left: 0; + right: 0; + background: #fff; + padding: 5px 15px; + border-radius: 15px; + -webkit-box-shadow: 0 0 10px rgba(0,0,0,0.3); + box-shadow: 0 0 10px rgba(0,0,0,0.3); +} +.search-form-input { + border: none; + background: none; + color: #222; + width: 100%; + font: 13px font-sans; + outline: none; +} +.search-form-input::-webkit-search-results-decoration, +.search-form-input::-webkit-search-cancel-button { + -webkit-appearance: none; +} +.search-form-submit { + position: absolute; + top: 50%; + right: 10px; + margin-top: -7px; + font: 13px FontAwesome; + border: none; + background: none; + color: #bbb; + cursor: pointer; +} +.search-form-submit:hover, +.search-form-submit:focus { + color: #777; +} +.article { + margin: 50px 0; +} +.article-inner { + overflow: hidden; +} +.article-meta:before, +.article-meta:after { + content: ""; + display: table; +} +.article-meta:after { + clear: both; +} +.article-date { + float: left; +} +.article-category { + float: left; + line-height: 1em; + color: #ccc; + text-shadow: 0 1px #fff; + margin-left: 15px; +} +.article-category:before { + content: "\2022"; + font-family: serif; +} +.article-category-link { + margin: 0 12px 8px; +} +.article-header { + padding: 15px 0; +} +.article-title { + text-decoration: none; + font-size: 2em; + font-weight: bold; + color: #222; + line-height: 1.1em; + -webkit-transition: color 0.2s; + -moz-transition: color 0.2s; + -ms-transition: color 0.2s; + transition: color 0.2s; +} +a.article-title:hover { + color: #999; +} +.article-entry { + text-align: justify; + color: #222; +} +.article-entry:before, +.article-entry:after { + content: ""; + display: table; +} +.article-entry:after { + clear: both; +} +.article-entry .markdown-them-math-inline:before, +.article-entry .markdown-them-math-inline:after { + content: " "; +} +.article-entry p, +.article-entry table { + line-height: 1.6em; + margin: 0.8em 0; +} +.article-entry h1, +.article-entry h2, +.article-entry h3, +.article-entry h4, +.article-entry h5, +.article-entry h6 { + font-weight: bold; + line-height: 1.1em; + margin: 1.65em 0 1.1em; +} +.article-entry a { + color: #999; + text-decoration: none; +} +.article-entry a:hover { + text-decoration: underline; +} +.article-entry ul, +.article-entry ol, +.article-entry dl { + margin-top: 0.8em; + margin-bottom: 0.8em; + margin-left: 2em; + margin-right: 2em; +} +.article-entry img, +.article-entry video { + max-width: 100%; + height: auto; + display: block; + margin: auto; +} +.article-entry iframe { + border: none; +} +.article-entry table { + border-top: 1.5px solid #000; + border-bottom: 1.5px solid #000; + width: 100%; + border-collapse: collapse; + border-spacing: 0; +} +.article-entry th { + font-weight: bold; + border-bottom: 1px solid #000; + padding: 0.5em 0; +} +.article-entry td { + border-bottom: none; + padding: 10px; +} +.article-entry th, +.article-entry td { + text-align: center; +} +.article-entry blockquote { + font-family: "biaodian", "LM-Roman-10", "Chinese", serif; + margin: 1.6em 0; + padding: 0px 2em; + padding: 0.25em 2em 0.25em calc(2em - 5px); + border-left: 5px solid #ddd; + background: #f7f7f7; +} +.article-entry blockquote strong { + font-style: normal; +} +.article-entry blockquote footer { + font-size: 16px; + font-family: font-sans; + margin: 0.8em 0; +} +.article-entry blockquote footer cite:before { + content: "—"; + padding: 0 0.5em; +} +.article-entry .pullquote { + text-align: left; + width: 45%; + margin: 0; +} +.article-entry .pullquote.left { + margin-left: 0.5em; + margin-right: 1em; +} +.article-entry .pullquote.right { + margin-right: 0.5em; + margin-left: 1em; +} +.article-entry .caption { + color: #999; + display: block; + font-size: 0.9em; + margin-top: 0.5em; + position: relative; + text-align: center; +} +.article-entry .video-container { + position: relative; + padding-top: 56.25%; + height: 0; + overflow: hidden; +} +.article-entry .video-container iframe, +.article-entry .video-container object, +.article-entry .video-container embed { + position: absolute; + top: 0; + left: 0; + width: 100%; + height: 100%; + margin-top: 0; +} +.article-entry ul li input { + margin-right: 10px; +} +.article-entry .markdown-them-math-block, +.article-entry .markdown-them-math-inline { + overflow: auto; + overflow-y: hidden; + outline: 0; +} +.article-entry code { + word-break: break-all; +} +.article-entry .katex, +.article-entry .mjx-chtml, +.article-entry .MathJax { + font-size: 1em !important; +} +.article-entry .highlight { + position: relative; +} +.article-entry .highlight:hover .copy-button { + opacity: 1; +} +.article-entry .copy-button { + position: absolute; + right: 15px; + top: 15px; + background: #fff; + border: 1px solid #ddd; + padding: 0px 5px; + -webkit-transition: opacity 0.2s; + -moz-transition: opacity 0.2s; + -ms-transition: opacity 0.2s; + transition: opacity 0.2s; +} +@media (any-hover: hover) { + .article-entry .copy-button { + opacity: 0; + } +} +.article-entry .copy-button:hover { + cursor: pointer; +} +.article-entry pre { + padding: 20px 0; +} +.article-more-link a { + display: inline-block; + line-height: 1em; + padding: 10px 15px 12px; + background: #fff; + color: #999; + text-decoration: none; + border: 1px solid #ddd; +} +.article-more-link a:hover { + text-decoration: underline; +} +.article-footer { + font-size: 0.85em; + line-height: 1.6em; + padding-top: 1.6em; + margin: 0 15px 15px; +} +.article-footer:before, +.article-footer:after { + content: ""; + display: table; +} +.article-footer:after { + clear: both; +} +.article-footer a { + color: #999; + text-decoration: none; +} +.article-footer a:hover { + color: #222; +} +.article-tag-list-item { + float: left; + margin-right: 10px; +} +.article-tag-list-link:before { + content: "#"; +} +.article-comment-link { + float: right; +} +.article-comment-link:before { + content: "\f075"; + font-family: FontAwesome; + padding-right: 8px; +} +.article-share-link { + cursor: pointer; + float: right; + margin-left: 20px; +} +.article-share-link:before { + content: "\f064"; + font-family: FontAwesome; + padding-right: 6px; +} +#article-nav { + position: relative; +} +#article-nav:before, +#article-nav:after { + content: ""; + display: table; +} +#article-nav:after { + clear: both; +} +@media screen and (min-width: 811px) { + #article-nav { + margin: 50px 0; + } + #article-nav:before { + width: 8px; + height: 8px; + position: absolute; + top: 50%; + left: 50%; + margin-top: -4px; + margin-left: -4px; + content: ""; + border-radius: 50%; + background: #ddd; + -webkit-box-shadow: 0 1px 2px #fff; + box-shadow: 0 1px 2px #fff; + } +} +.article-nav-link-wrap { + text-decoration: none; + text-shadow: 0 1px #fff; + color: #999; + -webkit-box-sizing: border-box; + -moz-box-sizing: border-box; + box-sizing: border-box; + margin-top: 50px; + text-align: center; + display: block; +} +.article-nav-link-wrap:hover { + color: #222; +} +@media screen and (min-width: 811px) { + .article-nav-link-wrap { + width: 50%; + margin-top: 0; + } +} +@media screen and (min-width: 811px) { + #article-nav-newer { + float: left; + text-align: right; + padding-right: 40px; + } +} +@media screen and (min-width: 811px) { + #article-nav-older { + float: right; + text-align: left; + padding-left: 40px; + } +} +.article-nav-caption { + text-transform: uppercase; + color: #ddd; + line-height: 1em; + font-weight: bold; +} +#article-nav-newer .article-nav-caption { + margin-right: -2px; +} +.article-nav-title { + font-size: 0.85em; + line-height: 1.6em; + margin-top: 0.5em; +} +.article-share-box { + position: absolute; + display: none; + background: #fff; + -webkit-box-shadow: 1px 2px 10px rgba(0,0,0,0.2); + box-shadow: 1px 2px 10px rgba(0,0,0,0.2); + border-radius: 3px; + margin-left: -145px; + overflow: hidden; + z-index: 1; +} +.article-share-box.on { + display: block; +} +.article-share-input { + width: 100%; + background: none; + -webkit-box-sizing: border-box; + -moz-box-sizing: border-box; + box-sizing: border-box; + font: 14px font-sans; + padding: 0 15px; + color: #222; + outline: none; + border: 1px solid #ddd; + border-radius: 3px 3px 0 0; + height: 36px; + line-height: 36px; +} +.article-share-links { + background: #fff; +} +.article-share-links:before, +.article-share-links:after { + content: ""; + display: table; +} +.article-share-links:after { + clear: both; +} +.article-share-twitter, +.article-share-facebook, +.article-share-pinterest, +.article-share-linkedin { + width: 50px; + height: 36px; + display: block; + float: left; + position: relative; + color: #999; + text-shadow: 0 1px #fff; +} +.article-share-twitter:before, +.article-share-facebook:before, +.article-share-pinterest:before, +.article-share-linkedin:before { + font-size: 20px; + font-family: FontAwesome; + width: 20px; + height: 20px; + position: absolute; + top: 50%; + left: 50%; + margin-top: -10px; + margin-left: -10px; + text-align: center; +} +.article-share-twitter:hover, +.article-share-facebook:hover, +.article-share-pinterest:hover, +.article-share-linkedin:hover { + color: #fff; +} +.article-share-twitter:before { + content: "\f099"; +} +.article-share-twitter:hover { + background: #00aced; + text-shadow: 0 1px #008abe; +} +.article-share-facebook:before { + content: "\f09a"; +} +.article-share-facebook:hover { + background: #3b5998; + text-shadow: 0 1px #2f477a; +} +.article-share-pinterest:before { + content: "\f0d2"; +} +.article-share-pinterest:hover { + background: #cb2027; + text-shadow: 0 1px #a21a1f; +} +.article-share-linkedin:before { + content: "\f0e1"; +} +.article-share-linkedin:hover { + background: #0077b5; + text-shadow: 0 1px #005f91; +} +.article-gallery { + background: #000; + position: relative; +} +.article-gallery-photos { + position: relative; + overflow: hidden; +} +.article-gallery-img { + display: none; + max-width: 100%; +} +.article-gallery-img:first-child { + display: block; +} +.article-gallery-img.loaded { + position: absolute; + display: block; +} +.article-gallery-img img { + display: block; + max-width: 100%; + margin: 0 auto; +} +.archives-wrap { + margin: 50px 0; +} +.archives:before, +.archives:after { + content: ""; + display: table; +} +.archives:after { + clear: both; +} +.archive-year-wrap { + margin-bottom: 1em; + font-size: 1.5em; +} +.archives { + -webkit-column-gap: 10px; + -moz-column-gap: 10px; + column-gap: 10px; +} +.archive-article { + -webkit-column-break-inside: avoid; + page-break-inside: avoid; + overflow: hidden; + break-inside: avoid-column; +} +.archive-article-inner { + padding: 10px; +} +.archive-article-header { + display: -webkit-box; + display: -moz-box; + display: -webkit-flex; + display: -ms-flexbox; + display: box; + display: flex; + -webkit-box-pack: justify; + -moz-box-pack: justify; + -ms-flex-pack: justify; + -webkit-justify-content: space-between; + justify-content: space-between; + -webkit-box-align: center; + -moz-box-align: center; + -ms-flex-align: center; + -webkit-align-items: center; + align-items: center; +} +.archive-article-line { + height: 6px; + border-bottom: 1px dashed #ddd; + margin: 0 10px; + -webkit-box-flex: 1; + -moz-box-flex: 1; + -ms-box-flex: 1; + box-flex: 1; + -webkit-flex-grow: 1; + flex-grow: 1; +} +.archive-article-title { + text-decoration: none; + font-weight: bold; + color: #555; + line-height: 1.6em; +} +.archive-article-title:hover { + color: #999; +} +.archive-article-footer { + margin-top: 1em; +} +.archive-article-date { + color: #999; + text-decoration: none; + font-size: 0.85em; + word-break: keep-all; + display: block; +} +#page-nav { + margin: 50px auto; + background: #fff; + text-align: center; + color: #999; + overflow: hidden; +} +#page-nav:before, +#page-nav:after { + content: ""; + display: table; +} +#page-nav:after { + clear: both; +} +#page-nav a, +#page-nav span { + padding: 10px 20px; + line-height: 1; + height: 2ex; +} +#page-nav a { + color: #999; + text-decoration: none; +} +#page-nav a:hover { + color: #000; +} +#page-nav .prev { + float: left; +} +#page-nav .next { + float: right; +} +#page-nav .page-number { + display: inline-block; +} +@media screen and (max-width: 470px) { + #page-nav .page-number { + display: none; + } +} +#page-nav .current { + color: #222; + font-weight: bold; +} +#page-nav .space { + color: #ddd; +} +#footer { + background: #fff; + margin-top: auto; + padding: 30px 0; + color: #555; +} +#footer a { + color: #999; + text-decoration: none; +} +#footer a:hover { + text-decoration: underline; +} +#footer-info { + line-height: 1.6em; + font-size: 0.85em; + text-align: center; +} +.article-entry pre, +.article-entry .highlight { + background: #fff; + margin: 0; + border-style: solid; + border-color: #ddd; + border-width: 1px; + overflow: auto; + color: #4d4d4c; + line-height: 25.6px; +} +.article-entry .gist .gist-file .gist-data .line-numbers { + color: #666; + font-size: 0.85em; +} +.article-entry pre, +.article-entry code { + font-family: "LM-Mono-10", "Courier", "ChineseMono", monospace; +} +.article-entry code { + background: #fff; + text-shadow: 0 1px #fff; + padding: 0 0.3em; +} +.article-entry pre { + padding: 15px; +} +.article-entry pre code { + background: none; + text-shadow: none; + padding: 0; +} +.article-entry .highlight { + margin-top: 20px; + margin-bottom: 20px; + padding: 0; +} +.article-entry .highlight pre { + border: none; + margin: 0; + padding: 15px; +} +.article-entry .gist { + margin: 0 -15px; + border-style: solid; + border-color: #ddd; + border-width: 1px 0; + background: #fff; + padding: 15px 15px 15px 0; +} +.article-entry .gist .gist-file { + border: none; + font-family: "LM-Mono-10", "Courier", "ChineseMono", monospace; + margin: 0; +} +.article-entry .gist .gist-file .gist-data { + background: none; + border: none; +} +.article-entry .gist .gist-file .gist-data .line-numbers { + background: none; + border: none; + padding: 0 20px 0 0; +} +.article-entry .gist .gist-file .gist-data .line-data { + padding: 0 !important; +} +.article-entry .gist .gist-file .highlight { + margin: 0; + padding: 0; + border: none; +} +.article-entry .gist .gist-file .gist-meta { + background: #fff; + color: #8e908c; + font: 0.85em font-sans; + text-shadow: 0 0; + padding: 0; + margin-top: 1em; + margin-left: 15px; +} +.article-entry .gist .gist-file .gist-meta a { + color: #999; + font-weight: normal; +} +.article-entry .gist .gist-file .gist-meta a:hover { + text-decoration: underline; +} +pre .hljs-comment, +pre .hljs-title { + color: #8e908c; +} +pre .hljs-variable, +pre .hljs-attribute, +pre .hljs-tag, +pre .hljs-regexp, +pre .hljs-ruby .hljs-constant, +pre .hljs-xml .hljs-tag .hljs-title, +pre .hljs-xml .hljs-pi, +pre .hljs-xml .hljs-doctype, +pre .hljs-html .hljs-doctype, +pre .hljs-css .hljs-id, +pre .hljs-css .hljs-class, +pre .hljs-css .hljs-pseudo { + color: #c82829; +} +pre .hljs-number, +pre .hljs-preprocessor, +pre .hljs-built_in, +pre .hljs-literal, +pre .hljs-params, +pre .hljs-constant { + color: #f5871f; +} +pre .hljs-class, +pre .hljs-ruby .hljs-class .hljs-title, +pre .hljs-css .hljs-rules .hljs-attribute { + color: #718c00; +} +pre .hljs-string, +pre .hljs-value, +pre .hljs-inheritance, +pre .hljs-header, +pre .hljs-ruby .hljs-symbol, +pre .hljs-xml .hljs-cdata { + color: #718c00; +} +pre .hljs-css .hljs-hexcolor { + color: #3e999f; +} +pre .hljs-function, +pre .hljs-python .hljs-decorator, +pre 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reserved. + * + * Redistribution and use in source and binary forms, with or without modification, + * are permitted provided that the following conditions are met: + * + * Redistributions of source code must retain the above copyright notice, this list of + * conditions and the following disclaimer. + * Redistributions in binary form must reproduce the above copyright notice, this list + * of conditions and the following disclaimer in the documentation and/or other materials + * provided with the distribution. + * + * Neither the name of the author nor the names of contributors may be used to endorse + * or promote products derived from this software without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY + * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF + * MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE + * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, + * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE + * GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED + * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING + * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED + * OF THE POSSIBILITY OF SUCH DAMAGE. + * +*/ + +// t: current time, b: begInnIng value, c: change In value, d: duration +eval(function(p,a,c,k,e,r){e=function(c){return(c35?String.fromCharCode(c+29):c.toString(36))};if(!''.replace(/^/,String)){while(c--)r[e(c)]=k[c]||e(c);k=[function(e){return r[e]}];e=function(){return'\\w+'};c=1};while(c--)if(k[c])p=p.replace(new RegExp('\\b'+e(c)+'\\b','g'),k[c]);return p}('h.i[\'1a\']=h.i[\'z\'];h.O(h.i,{y:\'D\',z:9(x,t,b,c,d){6 h.i[h.i.y](x,t,b,c,d)},17:9(x,t,b,c,d){6 c*(t/=d)*t+b},D:9(x,t,b,c,d){6-c*(t/=d)*(t-2)+b},13:9(x,t,b,c,d){e((t/=d/2)<1)6 c/2*t*t+b;6-c/2*((--t)*(t-2)-1)+b},X:9(x,t,b,c,d){6 c*(t/=d)*t*t+b},U:9(x,t,b,c,d){6 c*((t=t/d-1)*t*t+1)+b},R:9(x,t,b,c,d){e((t/=d/2)<1)6 c/2*t*t*t+b;6 c/2*((t-=2)*t*t+2)+b},N:9(x,t,b,c,d){6 c*(t/=d)*t*t*t+b},M:9(x,t,b,c,d){6-c*((t=t/d-1)*t*t*t-1)+b},L:9(x,t,b,c,d){e((t/=d/2)<1)6 c/2*t*t*t*t+b;6-c/2*((t-=2)*t*t*t-2)+b},K:9(x,t,b,c,d){6 c*(t/=d)*t*t*t*t+b},J:9(x,t,b,c,d){6 c*((t=t/d-1)*t*t*t*t+1)+b},I:9(x,t,b,c,d){e((t/=d/2)<1)6 c/2*t*t*t*t*t+b;6 c/2*((t-=2)*t*t*t*t+2)+b},G:9(x,t,b,c,d){6-c*8.C(t/d*(8.g/2))+c+b},15:9(x,t,b,c,d){6 c*8.n(t/d*(8.g/2))+b},12:9(x,t,b,c,d){6-c/2*(8.C(8.g*t/d)-1)+b},Z:9(x,t,b,c,d){6(t==0)?b:c*8.j(2,10*(t/d-1))+b},Y:9(x,t,b,c,d){6(t==d)?b+c:c*(-8.j(2,-10*t/d)+1)+b},W:9(x,t,b,c,d){e(t==0)6 b;e(t==d)6 b+c;e((t/=d/2)<1)6 c/2*8.j(2,10*(t-1))+b;6 c/2*(-8.j(2,-10*--t)+2)+b},V:9(x,t,b,c,d){6-c*(8.o(1-(t/=d)*t)-1)+b},S:9(x,t,b,c,d){6 c*8.o(1-(t=t/d-1)*t)+b},Q:9(x,t,b,c,d){e((t/=d/2)<1)6-c/2*(8.o(1-t*t)-1)+b;6 c/2*(8.o(1-(t-=2)*t)+1)+b},P:9(x,t,b,c,d){f s=1.l;f p=0;f a=c;e(t==0)6 b;e((t/=d)==1)6 b+c;e(!p)p=d*.3;e(a<8.w(c)){a=c;f s=p/4}m f s=p/(2*8.g)*8.r(c/a);6-(a*8.j(2,10*(t-=1))*8.n((t*d-s)*(2*8.g)/p))+b},H:9(x,t,b,c,d){f s=1.l;f p=0;f a=c;e(t==0)6 b;e((t/=d)==1)6 b+c;e(!p)p=d*.3;e(a<8.w(c)){a=c;f s=p/4}m f s=p/(2*8.g)*8.r(c/a);6 a*8.j(2,-10*t)*8.n((t*d-s)*(2*8.g)/p)+c+b},T:9(x,t,b,c,d){f s=1.l;f p=0;f a=c;e(t==0)6 b;e((t/=d/2)==2)6 b+c;e(!p)p=d*(.3*1.5);e(a<8.w(c)){a=c;f s=p/4}m f s=p/(2*8.g)*8.r(c/a);e(t<1)6-.5*(a*8.j(2,10*(t-=1))*8.n((t*d-s)*(2*8.g)/p))+b;6 a*8.j(2,-10*(t-=1))*8.n((t*d-s)*(2*8.g)/p)*.5+c+b},F:9(x,t,b,c,d,s){e(s==u)s=1.l;6 c*(t/=d)*t*((s+1)*t-s)+b},E:9(x,t,b,c,d,s){e(s==u)s=1.l;6 c*((t=t/d-1)*t*((s+1)*t+s)+1)+b},16:9(x,t,b,c,d,s){e(s==u)s=1.l;e((t/=d/2)<1)6 c/2*(t*t*(((s*=(1.B))+1)*t-s))+b;6 c/2*((t-=2)*t*(((s*=(1.B))+1)*t+s)+2)+b},A:9(x,t,b,c,d){6 c-h.i.v(x,d-t,0,c,d)+b},v:9(x,t,b,c,d){e((t/=d)<(1/2.k)){6 c*(7.q*t*t)+b}m e(t<(2/2.k)){6 c*(7.q*(t-=(1.5/2.k))*t+.k)+b}m e(t<(2.5/2.k)){6 c*(7.q*(t-=(2.14/2.k))*t+.11)+b}m{6 c*(7.q*(t-=(2.18/2.k))*t+.19)+b}},1b:9(x,t,b,c,d){e(t')[0], { prop: 0 }), + + isIE6 = $.browser.msie && $.browser.version < 7 && !window.XMLHttpRequest, + + /* + * Private methods + */ + + _abort = function() { + loading.hide(); + + imgPreloader.onerror = imgPreloader.onload = null; + + if (ajaxLoader) { + ajaxLoader.abort(); + } + + tmp.empty(); + }, + + _error = function() { + if (false === selectedOpts.onError(selectedArray, selectedIndex, selectedOpts)) { + loading.hide(); + busy = false; + return; + } + + selectedOpts.titleShow = false; + + selectedOpts.width = 'auto'; + selectedOpts.height = 'auto'; + + tmp.html( '

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Please try again later.

' ); + + _process_inline(); + }, + + _start = function() { + var obj = selectedArray[ selectedIndex ], + href, + type, + title, + str, + emb, + ret; + + _abort(); + + selectedOpts = $.extend({}, $.fn.fancybox.defaults, (typeof $(obj).data('fancybox') == 'undefined' ? selectedOpts : $(obj).data('fancybox'))); + + ret = selectedOpts.onStart(selectedArray, selectedIndex, selectedOpts); + + if (ret === false) { + busy = false; + return; + } else if (typeof ret == 'object') { + selectedOpts = $.extend(selectedOpts, ret); + } + + title = selectedOpts.title || (obj.nodeName ? $(obj).attr('title') : obj.title) || ''; + + if (obj.nodeName && !selectedOpts.orig) { + selectedOpts.orig = $(obj).children("img:first").length ? $(obj).children("img:first") : $(obj); + } + + if (title === '' && selectedOpts.orig && selectedOpts.titleFromAlt) { + title = selectedOpts.orig.attr('alt'); + } + + href = selectedOpts.href || (obj.nodeName ? $(obj).attr('href') : obj.href) || null; + + if ((/^(?:javascript)/i).test(href) || href == '#') { + href = null; + } + + if (selectedOpts.type) { + type = selectedOpts.type; + + if (!href) { + href = selectedOpts.content; + } + + } else if (selectedOpts.content) { + type = 'html'; + + } else if (href) { + if (href.match(imgRegExp)) { + type = 'image'; + + } else if (href.match(swfRegExp)) { + type = 'swf'; + + } else if ($(obj).hasClass("iframe")) { + type = 'iframe'; + + } else if (href.indexOf("#") === 0) { + type = 'inline'; + + } else { + type = 'ajax'; + } + } + + if (!type) { + _error(); + return; + } + + if (type == 'inline') { + obj = href.substr(href.indexOf("#")); + type = $(obj).length > 0 ? 'inline' : 'ajax'; + } + + selectedOpts.type = type; + selectedOpts.href = href; + selectedOpts.title = title; + + if (selectedOpts.autoDimensions) { + if (selectedOpts.type == 'html' || selectedOpts.type == 'inline' || selectedOpts.type == 'ajax') { + selectedOpts.width = 'auto'; + selectedOpts.height = 'auto'; + } else { + selectedOpts.autoDimensions = false; + } + } + + if (selectedOpts.modal) { + selectedOpts.overlayShow = true; + selectedOpts.hideOnOverlayClick = false; + selectedOpts.hideOnContentClick = false; + selectedOpts.enableEscapeButton = false; + selectedOpts.showCloseButton = false; + } + + selectedOpts.padding = parseInt(selectedOpts.padding, 10); + selectedOpts.margin = parseInt(selectedOpts.margin, 10); + + tmp.css('padding', (selectedOpts.padding + selectedOpts.margin)); + + $('.fancybox-inline-tmp').unbind('fancybox-cancel').bind('fancybox-change', function() { + $(this).replaceWith(content.children()); + }); + + switch (type) { + case 'html' : + tmp.html( selectedOpts.content ); + _process_inline(); + break; + + case 'inline' : + if ( $(obj).parent().is('#fancybox-content') === true) { + busy = false; + return; + } + + $('
') + .hide() + .insertBefore( $(obj) ) + .bind('fancybox-cleanup', function() { + $(this).replaceWith(content.children()); + }).bind('fancybox-cancel', function() { + $(this).replaceWith(tmp.children()); + }); + + $(obj).appendTo(tmp); + + _process_inline(); + break; + + case 'image': + busy = false; + + $.fancybox.showActivity(); + + imgPreloader = new Image(); + + imgPreloader.onerror = function() { + _error(); + }; + + imgPreloader.onload = function() { + busy = true; + + imgPreloader.onerror = imgPreloader.onload = null; + + _process_image(); + }; + + imgPreloader.src = href; + break; + + case 'swf': + selectedOpts.scrolling = 'no'; + + str = ''; + emb = ''; + + $.each(selectedOpts.swf, function(name, val) { + str += ''; + emb += ' ' + name + '="' + val + '"'; + }); + + str += ''; + + tmp.html(str); + + _process_inline(); + break; + + case 'ajax': + busy = false; + + $.fancybox.showActivity(); + + selectedOpts.ajax.win = selectedOpts.ajax.success; + + ajaxLoader = $.ajax($.extend({}, selectedOpts.ajax, { + url : href, + data : selectedOpts.ajax.data || {}, + error : function(XMLHttpRequest, textStatus, errorThrown) { + if ( XMLHttpRequest.status > 0 ) { + _error(); + } + }, + success : function(data, textStatus, XMLHttpRequest) { + var o = typeof XMLHttpRequest == 'object' ? XMLHttpRequest : ajaxLoader; + if (o.status == 200) { + if ( typeof selectedOpts.ajax.win == 'function' ) { + ret = selectedOpts.ajax.win(href, data, textStatus, XMLHttpRequest); + + if (ret === false) { + loading.hide(); + return; + } else if (typeof ret == 'string' || typeof ret == 'object') { + data = ret; + } + } + + tmp.html( data ); + _process_inline(); + } + } + })); + + break; + + case 'iframe': + _show(); + break; + } + }, + + _process_inline = function() { + var + w = selectedOpts.width, + h = selectedOpts.height; + + if (w.toString().indexOf('%') > -1) { + w = parseInt( ($(window).width() - (selectedOpts.margin * 2)) * parseFloat(w) / 100, 10) + 'px'; + + } else { + w = w == 'auto' ? 'auto' : w + 'px'; + } + + if (h.toString().indexOf('%') > -1) { + h = parseInt( ($(window).height() - (selectedOpts.margin * 2)) * parseFloat(h) / 100, 10) + 'px'; + + } else { + h = h == 'auto' ? 'auto' : h + 'px'; + } + + tmp.wrapInner('
'); + + selectedOpts.width = tmp.width(); + selectedOpts.height = tmp.height(); + + _show(); + }, + + _process_image = function() { + selectedOpts.width = imgPreloader.width; + selectedOpts.height = imgPreloader.height; + + $("").attr({ + 'id' : 'fancybox-img', + 'src' : imgPreloader.src, + 'alt' : selectedOpts.title + }).appendTo( tmp ); + + _show(); + }, + + _show = function() { + var pos, equal; + + loading.hide(); + + if (wrap.is(":visible") && false === currentOpts.onCleanup(currentArray, currentIndex, currentOpts)) { + $.event.trigger('fancybox-cancel'); + + busy = false; + return; + } + + busy = true; + + $(content.add( overlay )).unbind(); + + $(window).unbind("resize.fb scroll.fb"); + $(document).unbind('keydown.fb'); + + if (wrap.is(":visible") && currentOpts.titlePosition !== 'outside') { + wrap.css('height', wrap.height()); + } + + currentArray = selectedArray; + currentIndex = selectedIndex; + currentOpts = selectedOpts; + + if (currentOpts.overlayShow) { + overlay.css({ + 'background-color' : currentOpts.overlayColor, + 'opacity' : currentOpts.overlayOpacity, + 'cursor' : currentOpts.hideOnOverlayClick ? 'pointer' : 'auto', + 'height' : $(document).height() + }); + + if (!overlay.is(':visible')) { + if (isIE6) { + $('select:not(#fancybox-tmp select)').filter(function() { + return this.style.visibility !== 'hidden'; + }).css({'visibility' : 'hidden'}).one('fancybox-cleanup', function() { + this.style.visibility = 'inherit'; + }); + } + + overlay.show(); + } + } else { + overlay.hide(); + } + + final_pos = _get_zoom_to(); + + _process_title(); + + if (wrap.is(":visible")) { + $( close.add( nav_left ).add( nav_right ) ).hide(); + + pos = wrap.position(), + + start_pos = { + top : pos.top, + left : pos.left, + width : wrap.width(), + height : wrap.height() + }; + + equal = (start_pos.width == final_pos.width && start_pos.height == final_pos.height); + + content.fadeTo(currentOpts.changeFade, 0.3, function() { + var finish_resizing = function() { + content.html( tmp.contents() ).fadeTo(currentOpts.changeFade, 1, _finish); + }; + + $.event.trigger('fancybox-change'); + + content + .empty() + .removeAttr('filter') + .css({ + 'border-width' : currentOpts.padding, + 'width' : final_pos.width - currentOpts.padding * 2, + 'height' : selectedOpts.autoDimensions ? 'auto' : final_pos.height - titleHeight - currentOpts.padding * 2 + }); + + if (equal) { + finish_resizing(); + + } else { + fx.prop = 0; + + $(fx).animate({prop: 1}, { + duration : currentOpts.changeSpeed, + easing : currentOpts.easingChange, + step : _draw, + complete : finish_resizing + }); + } + }); + + return; + } + + wrap.removeAttr("style"); + + content.css('border-width', currentOpts.padding); + + if (currentOpts.transitionIn == 'elastic') { + start_pos = _get_zoom_from(); + + content.html( tmp.contents() ); + + wrap.show(); + + if (currentOpts.opacity) { + final_pos.opacity = 0; + } + + fx.prop = 0; + + $(fx).animate({prop: 1}, { + duration : currentOpts.speedIn, + easing : currentOpts.easingIn, + step : _draw, + complete : _finish + }); + + return; + } + + if (currentOpts.titlePosition == 'inside' && titleHeight > 0) { + title.show(); + } + + content + .css({ + 'width' : final_pos.width - currentOpts.padding * 2, + 'height' : selectedOpts.autoDimensions ? 'auto' : final_pos.height - titleHeight - currentOpts.padding * 2 + }) + .html( tmp.contents() ); + + wrap + .css(final_pos) + .fadeIn( currentOpts.transitionIn == 'none' ? 0 : currentOpts.speedIn, _finish ); + }, + + _format_title = function(title) { + if (title && title.length) { + if (currentOpts.titlePosition == 'float') { + return '
' + title + '
'; + } + + return '
' + title + '
'; + } + + return false; + }, + + _process_title = function() { + titleStr = currentOpts.title || ''; + titleHeight = 0; + + title + .empty() + .removeAttr('style') + .removeClass(); + + if (currentOpts.titleShow === false) { + title.hide(); + return; + } + + titleStr = $.isFunction(currentOpts.titleFormat) ? currentOpts.titleFormat(titleStr, currentArray, currentIndex, currentOpts) : _format_title(titleStr); + + if (!titleStr || titleStr === '') { + title.hide(); + return; + } + + title + .addClass('fancybox-title-' + currentOpts.titlePosition) + .html( titleStr ) + .appendTo( 'body' ) + .show(); + + switch (currentOpts.titlePosition) { + case 'inside': + title + .css({ + 'width' : final_pos.width - (currentOpts.padding * 2), + 'marginLeft' : currentOpts.padding, + 'marginRight' : currentOpts.padding + }); + + titleHeight = title.outerHeight(true); + + title.appendTo( outer ); + + final_pos.height += titleHeight; + break; + + case 'over': + title + .css({ + 'marginLeft' : currentOpts.padding, + 'width' : final_pos.width - (currentOpts.padding * 2), + 'bottom' : currentOpts.padding + }) + .appendTo( outer ); + break; + + case 'float': + title + .css('left', parseInt((title.width() - final_pos.width - 40)/ 2, 10) * -1) + .appendTo( wrap ); + break; + + default: + title + .css({ + 'width' : final_pos.width - (currentOpts.padding * 2), + 'paddingLeft' : currentOpts.padding, + 'paddingRight' : currentOpts.padding + }) + .appendTo( wrap ); + break; + } + + title.hide(); + }, + + _set_navigation = function() { + if (currentOpts.enableEscapeButton || currentOpts.enableKeyboardNav) { + $(document).bind('keydown.fb', function(e) { + if (e.keyCode == 27 && currentOpts.enableEscapeButton) { + e.preventDefault(); + $.fancybox.close(); + + } else if ((e.keyCode == 37 || e.keyCode == 39) && currentOpts.enableKeyboardNav && e.target.tagName !== 'INPUT' && e.target.tagName !== 'TEXTAREA' && e.target.tagName !== 'SELECT') { + e.preventDefault(); + $.fancybox[ e.keyCode == 37 ? 'prev' : 'next'](); + } + }); + } + + if (!currentOpts.showNavArrows) { + nav_left.hide(); + nav_right.hide(); + return; + } + + if ((currentOpts.cyclic && currentArray.length > 1) || currentIndex !== 0) { + nav_left.show(); + } + + if ((currentOpts.cyclic && currentArray.length > 1) || currentIndex != (currentArray.length -1)) { + nav_right.show(); + } + }, + + _finish = function () { + if (!$.support.opacity) { + content.get(0).style.removeAttribute('filter'); + wrap.get(0).style.removeAttribute('filter'); + } + + if (selectedOpts.autoDimensions) { + content.css('height', 'auto'); + } + + wrap.css('height', 'auto'); + + if (titleStr && titleStr.length) { + title.show(); + } + + if (currentOpts.showCloseButton) { + close.show(); + } + + _set_navigation(); + + if (currentOpts.hideOnContentClick) { + content.bind('click', $.fancybox.close); + } + + if (currentOpts.hideOnOverlayClick) { + overlay.bind('click', $.fancybox.close); + } + + $(window).bind("resize.fb", $.fancybox.resize); + + if (currentOpts.centerOnScroll) { + $(window).bind("scroll.fb", $.fancybox.center); + } + + if (currentOpts.type == 'iframe') { + $('').appendTo(content); + } + + wrap.show(); + + busy = false; + + $.fancybox.center(); + + currentOpts.onComplete(currentArray, currentIndex, currentOpts); + + _preload_images(); + }, + + _preload_images = function() { + var href, + objNext; + + if ((currentArray.length -1) > currentIndex) { + href = currentArray[ currentIndex + 1 ].href; + + if (typeof href !== 'undefined' && href.match(imgRegExp)) { + objNext = new Image(); + objNext.src = href; + } + } + + if (currentIndex > 0) { + href = currentArray[ currentIndex - 1 ].href; + + if (typeof href !== 'undefined' && href.match(imgRegExp)) { + objNext = new Image(); + objNext.src = href; + } + } + }, + + _draw = function(pos) { + var dim = { + width : parseInt(start_pos.width + (final_pos.width - start_pos.width) * pos, 10), + height : parseInt(start_pos.height + (final_pos.height - start_pos.height) * pos, 10), + + top : parseInt(start_pos.top + (final_pos.top - start_pos.top) * pos, 10), + left : parseInt(start_pos.left + (final_pos.left - start_pos.left) * pos, 10) + }; + + if (typeof final_pos.opacity !== 'undefined') { + dim.opacity = pos < 0.5 ? 0.5 : pos; + } + + wrap.css(dim); + + content.css({ + 'width' : dim.width - currentOpts.padding * 2, + 'height' : dim.height - (titleHeight * pos) - currentOpts.padding * 2 + }); + }, + + _get_viewport = function() { + return [ + $(window).width() - (currentOpts.margin * 2), + $(window).height() - (currentOpts.margin * 2), + $(document).scrollLeft() + currentOpts.margin, + $(document).scrollTop() + currentOpts.margin + ]; + }, + + _get_zoom_to = function () { + var view = _get_viewport(), + to = {}, + resize = currentOpts.autoScale, + double_padding = currentOpts.padding * 2, + ratio; + + if (currentOpts.width.toString().indexOf('%') > -1) { + to.width = parseInt((view[0] * parseFloat(currentOpts.width)) / 100, 10); + } else { + to.width = currentOpts.width + double_padding; + } + + if (currentOpts.height.toString().indexOf('%') > -1) { + to.height = parseInt((view[1] * parseFloat(currentOpts.height)) / 100, 10); + } else { + to.height = currentOpts.height + double_padding; + } + + if (resize && (to.width > view[0] || to.height > view[1])) { + if (selectedOpts.type == 'image' || selectedOpts.type == 'swf') { + ratio = (currentOpts.width ) / (currentOpts.height ); + + if ((to.width ) > view[0]) { + to.width = view[0]; + to.height = parseInt(((to.width - double_padding) / ratio) + double_padding, 10); + } + + if ((to.height) > view[1]) { + to.height = view[1]; + to.width = parseInt(((to.height - double_padding) * ratio) + double_padding, 10); + } + + } else { + to.width = Math.min(to.width, view[0]); + to.height = Math.min(to.height, view[1]); + } + } + + to.top = parseInt(Math.max(view[3] - 20, view[3] + ((view[1] - to.height - 40) * 0.5)), 10); + to.left = parseInt(Math.max(view[2] - 20, view[2] + ((view[0] - to.width - 40) * 0.5)), 10); + + return to; + }, + + _get_obj_pos = function(obj) { + var pos = obj.offset(); + + pos.top += parseInt( obj.css('paddingTop'), 10 ) || 0; + pos.left += parseInt( obj.css('paddingLeft'), 10 ) || 0; + + pos.top += parseInt( obj.css('border-top-width'), 10 ) || 0; + pos.left += parseInt( obj.css('border-left-width'), 10 ) || 0; + + pos.width = obj.width(); + pos.height = obj.height(); + + return pos; + }, + + _get_zoom_from = function() { + var orig = selectedOpts.orig ? $(selectedOpts.orig) : false, + from = {}, + pos, + view; + + if (orig && orig.length) { + pos = _get_obj_pos(orig); + + from = { + width : pos.width + (currentOpts.padding * 2), + height : pos.height + (currentOpts.padding * 2), + top : pos.top - currentOpts.padding - 20, + left : pos.left - currentOpts.padding - 20 + }; + + } else { + view = _get_viewport(); + + from = { + width : currentOpts.padding * 2, + height : currentOpts.padding * 2, + top : parseInt(view[3] + view[1] * 0.5, 10), + left : parseInt(view[2] + view[0] * 0.5, 10) + }; + } + + return from; + }, + + _animate_loading = function() { + if (!loading.is(':visible')){ + clearInterval(loadingTimer); + return; + } + + $('div', loading).css('top', (loadingFrame * -40) + 'px'); + + loadingFrame = (loadingFrame + 1) % 12; + }; + + /* + * Public methods + */ + + $.fn.fancybox = function(options) { + if (!$(this).length) { + return this; + } + + $(this) + .data('fancybox', $.extend({}, options, ($.metadata ? $(this).metadata() : {}))) + .unbind('click.fb') + .bind('click.fb', function(e) { + e.preventDefault(); + + if (busy) { + return; + } + + busy = true; + + $(this).blur(); + + selectedArray = []; + selectedIndex = 0; + + var rel = $(this).attr('rel') || ''; + + if (!rel || rel == '' || rel === 'nofollow') { + selectedArray.push(this); + + } else { + selectedArray = $("a[rel=" + rel + "], area[rel=" + rel + "]"); + selectedIndex = selectedArray.index( this ); + } + + _start(); + + return; + }); + + return this; + }; + + $.fancybox = function(obj) { + var opts; + + if (busy) { + return; + } + + busy = true; + opts = typeof arguments[1] !== 'undefined' ? arguments[1] : {}; + + selectedArray = []; + selectedIndex = parseInt(opts.index, 10) || 0; + + if ($.isArray(obj)) { + for (var i = 0, j = obj.length; i < j; i++) { + if (typeof obj[i] == 'object') { + $(obj[i]).data('fancybox', $.extend({}, opts, obj[i])); + } else { + obj[i] = $({}).data('fancybox', $.extend({content : obj[i]}, opts)); + } + } + + selectedArray = jQuery.merge(selectedArray, obj); + + } else { + if (typeof obj == 'object') { + $(obj).data('fancybox', $.extend({}, opts, obj)); + } else { + obj = $({}).data('fancybox', $.extend({content : obj}, opts)); + } + + selectedArray.push(obj); + } + + if (selectedIndex > selectedArray.length || selectedIndex < 0) { + selectedIndex = 0; + } + + _start(); + }; + + $.fancybox.showActivity = function() { + clearInterval(loadingTimer); + + loading.show(); + loadingTimer = setInterval(_animate_loading, 66); + }; + + $.fancybox.hideActivity = function() { + loading.hide(); + }; + + $.fancybox.next = function() { + return $.fancybox.pos( currentIndex + 1); + }; + + $.fancybox.prev = function() { + return $.fancybox.pos( currentIndex - 1); + }; + + $.fancybox.pos = function(pos) { + if (busy) { + return; + } + + pos = parseInt(pos); + + selectedArray = currentArray; + + if (pos > -1 && pos < currentArray.length) { + selectedIndex = pos; + _start(); + + } else if (currentOpts.cyclic && currentArray.length > 1) { + selectedIndex = pos >= currentArray.length ? 0 : currentArray.length - 1; + _start(); + } + + return; + }; + + $.fancybox.cancel = function() { + if (busy) { + return; + } + + busy = true; + + $.event.trigger('fancybox-cancel'); + + _abort(); + + selectedOpts.onCancel(selectedArray, selectedIndex, selectedOpts); + + busy = false; + }; + + // Note: within an iframe use - parent.$.fancybox.close(); + $.fancybox.close = function() { + if (busy || wrap.is(':hidden')) { + return; + } + + busy = true; + + if (currentOpts && false === currentOpts.onCleanup(currentArray, currentIndex, currentOpts)) { + busy = false; + return; + } + + _abort(); + + $(close.add( nav_left ).add( nav_right )).hide(); + + $(content.add( overlay )).unbind(); + + $(window).unbind("resize.fb scroll.fb"); + $(document).unbind('keydown.fb'); + + content.find('iframe').attr('src', isIE6 && /^https/i.test(window.location.href || '') ? 'javascript:void(false)' : 'about:blank'); + + if (currentOpts.titlePosition !== 'inside') { + title.empty(); + } + + wrap.stop(); + + function _cleanup() { + overlay.fadeOut('fast'); + + title.empty().hide(); + wrap.hide(); + + $.event.trigger('fancybox-cleanup'); + + content.empty(); + + currentOpts.onClosed(currentArray, currentIndex, currentOpts); + + currentArray = selectedOpts = []; + currentIndex = selectedIndex = 0; + currentOpts = selectedOpts = {}; + + busy = false; + } + + if (currentOpts.transitionOut == 'elastic') { + start_pos = _get_zoom_from(); + + var pos = wrap.position(); + + final_pos = { + top : pos.top , + left : pos.left, + width : wrap.width(), + height : wrap.height() + }; + + if (currentOpts.opacity) { + final_pos.opacity = 1; + } + + title.empty().hide(); + + fx.prop = 1; + + $(fx).animate({ prop: 0 }, { + duration : currentOpts.speedOut, + easing : currentOpts.easingOut, + step : _draw, + complete : _cleanup + }); + + } else { + wrap.fadeOut( currentOpts.transitionOut == 'none' ? 0 : currentOpts.speedOut, _cleanup); + } + }; + + $.fancybox.resize = function() { + if (overlay.is(':visible')) { + overlay.css('height', $(document).height()); + } + + $.fancybox.center(true); + }; + + $.fancybox.center = function() { + var view, align; + + if (busy) { + return; + } + + align = arguments[0] === true ? 1 : 0; + view = _get_viewport(); + + if (!align && (wrap.width() > view[0] || wrap.height() > view[1])) { + return; + } + + wrap + .stop() + .animate({ + 'top' : parseInt(Math.max(view[3] - 20, view[3] + ((view[1] - content.height() - 40) * 0.5) - currentOpts.padding)), + 'left' : parseInt(Math.max(view[2] - 20, view[2] + ((view[0] - content.width() - 40) * 0.5) - currentOpts.padding)) + }, typeof arguments[0] == 'number' ? arguments[0] : 200); + }; + + $.fancybox.init = function() { + if ($("#fancybox-wrap").length) { + return; + } + + $('body').append( + tmp = $('
'), + loading = $('
'), + overlay = $('
'), + wrap = $('
') + ); + + outer = $('
') + .append('
') + .appendTo( wrap ); + + outer.append( + content = $('
'), + close = $(''), + title = $('
'), + + nav_left = $(''), + nav_right = $('') + ); + + close.click($.fancybox.close); + loading.click($.fancybox.cancel); + + nav_left.click(function(e) { + e.preventDefault(); + $.fancybox.prev(); + }); + + nav_right.click(function(e) { + e.preventDefault(); + $.fancybox.next(); + }); + + if ($.fn.mousewheel) { + wrap.bind('mousewheel.fb', function(e, delta) { + if (busy) { + e.preventDefault(); + + } else if ($(e.target).get(0).clientHeight == 0 || $(e.target).get(0).scrollHeight === $(e.target).get(0).clientHeight) { + e.preventDefault(); + $.fancybox[ delta > 0 ? 'prev' : 'next'](); + } + }); + } + + if (!$.support.opacity) { + wrap.addClass('fancybox-ie'); + } + + if (isIE6) { + loading.addClass('fancybox-ie6'); + wrap.addClass('fancybox-ie6'); + + $('').prependTo(outer); + } + }; + + $.fn.fancybox.defaults = { + padding : 10, + margin : 40, + opacity : false, + modal : false, + cyclic : false, + scrolling : 'auto', // 'auto', 'yes' or 'no' + + width : 560, + height : 340, + + autoScale : true, + autoDimensions : true, + centerOnScroll : false, + + ajax : {}, + swf : { wmode: 'transparent' }, + + hideOnOverlayClick : true, + hideOnContentClick : false, + + overlayShow : true, + overlayOpacity : 0.7, + overlayColor : '#777', + + titleShow : true, + titlePosition : 'float', // 'float', 'outside', 'inside' or 'over' + titleFormat : null, + titleFromAlt : false, + + transitionIn : 'fade', // 'elastic', 'fade' or 'none' + transitionOut : 'fade', // 'elastic', 'fade' or 'none' + + speedIn : 300, + speedOut : 300, + + changeSpeed : 300, + changeFade : 'fast', + + easingIn : 'swing', + easingOut : 'swing', + + showCloseButton : true, + showNavArrows : true, + enableEscapeButton : true, + enableKeyboardNav : true, + + onStart : function(){}, + onCancel : function(){}, + onComplete : function(){}, + onCleanup : function(){}, + onClosed : function(){}, + onError : function(){} + }; + + $(document).ready(function() { + $.fancybox.init(); + }); + +})(jQuery); \ No newline at end of file diff --git a/fancybox/jquery.fancybox-1.3.4.pack.js b/fancybox/jquery.fancybox-1.3.4.pack.js new file mode 100644 index 0000000..1373ed0 --- /dev/null +++ b/fancybox/jquery.fancybox-1.3.4.pack.js @@ -0,0 +1,46 @@ +/* + * FancyBox - jQuery Plugin + * Simple and fancy lightbox alternative + * + * Examples and documentation at: http://fancybox.net + * + * Copyright (c) 2008 - 2010 Janis Skarnelis + * That said, it is hardly a one-person project. Many people have submitted bugs, code, and offered their advice freely. Their support is greatly appreciated. + * + * Version: 1.3.4 (11/11/2010) + * Requires: jQuery v1.3+ + * + * Dual licensed under the MIT and GPL licenses: + * http://www.opensource.org/licenses/mit-license.php + * http://www.gnu.org/licenses/gpl.html + */ + +;(function(b){var m,t,u,f,D,j,E,n,z,A,q=0,e={},o=[],p=0,d={},l=[],G=null,v=new Image,J=/\.(jpg|gif|png|bmp|jpeg)(.*)?$/i,W=/[^\.]\.(swf)\s*$/i,K,L=1,y=0,s="",r,i,h=false,B=b.extend(b("
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The requested content cannot be loaded.
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'),t=b('
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+ +
+
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      没有搜索到结果
    ';o.innerHTML=t}}))}))}}(); diff --git a/js/script.js b/js/script.js new file mode 100644 index 0000000..15e2a3f --- /dev/null +++ b/js/script.js @@ -0,0 +1,74 @@ +(function($){ + // Caption + $('.article-entry, .article-inner').each(function(i){ + $(this).find('img').each(function(){ + if ($(this).parent().hasClass('fancybox') || $(this).parent().is('a')) return; + + var alt = this.alt; + + if (alt) $(this).after('' + alt + ''); + + $(this).wrap('') + }); + + $(this).find('.fancybox').each(function(){ + $(this).attr('rel', 'article' + i); + }); + }); + + if ($.fancybox){ + $('.fancybox').fancybox(); + } + // Mobile nav + var $container = $('#container'), + isMobileNavAnim = false, + mobileNavAnimDuration = 200; + + var startMobileNavAnim = function(){ + isMobileNavAnim = true; + }; + + var stopMobileNavAnim = function(){ + setTimeout(function(){ + isMobileNavAnim = false; + }, mobileNavAnimDuration); + } + + var nav = document.getElementById('main-nav-toggle'); + nav.onclick = function(){ + if (isMobileNavAnim) return; + + startMobileNavAnim(); + $container.toggleClass('mobile-nav-on'); + stopMobileNavAnim(); + }; + + var wrap = document.getElementById('wrap'); + wrap.onclick = function(){ + if (isMobileNavAnim || !$container.hasClass('mobile-nav-on')) return; + + $container.removeClass('mobile-nav-on'); + }; + + // code block copy button + var codes = document.getElementsByClassName('code'); + for (var i = 0; i < codes.length; ++i) { + var copy_button = document.createElement('div'); + copy_button.className = "copy-button"; + copy_button.innerHTML = "Copy"; + new ClipboardJS('.copy-button', { + target: (trigger) => { + return trigger.nextSibling; + } + }); + copy_button.onclick = (e) => { + var btn = e.target; + btn.innerHTML = "Copied!"; + setTimeout(function() { + btn.innerHTML = "Copy"; + }, 1000); + } + codes[i].parentElement.insertBefore(copy_button, codes[i]); + } + +})(jQuery); \ No newline at end of file diff --git a/katex/README.html b/katex/README.html new file mode 100644 index 0000000..02b7b11 --- /dev/null +++ b/katex/README.html @@ -0,0 +1,87 @@ +

    KaTeX

    +

    npm
    +semantic-release
    +CI
    +codecov
    +Discussions
    +jsDelivr
    +katex.min.js size
    +Gitpod ready-to-code
    +Financial Contributors on Open Collective

    +

    KaTeX is a fast, easy-to-use JavaScript library for TeX math rendering on the web.

    +
      +
    • Fast: KaTeX renders its math synchronously and doesn’t need to reflow the page. See how it compares to a competitor in this speed test.
    • +
    • Print quality: KaTeX’s layout is based on Donald Knuth’s TeX, the gold standard for math typesetting.
    • +
    • Self contained: KaTeX has no dependencies and can easily be bundled with your website resources.
    • +
    • Server side rendering: KaTeX produces the same output regardless of browser or environment, so you can pre-render expressions using Node.js and send them as plain HTML.
    • +
    +

    KaTeX is compatible with all major browsers, including Chrome, Safari, Firefox, Opera, Edge, and IE 11.

    +

    KaTeX supports much (but not all) of LaTeX and many LaTeX packages. See the list of supported functions.

    +

    Try out KaTeX on the demo page!

    +

    Getting started

    +

    Starter template

    +
    <!DOCTYPE html>
    +<!-- KaTeX requires the use of the HTML5 doctype. Without it, KaTeX may not render properly -->
    +<html>
    +  <head>
    +    <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.16.4/dist/katex.min.css" integrity="sha384-vKruj+a13U8yHIkAyGgK1J3ArTLzrFGBbBc0tDp4ad/EyewESeXE/Iv67Aj8gKZ0" crossorigin="anonymous">
    +
    +    <!-- The loading of KaTeX is deferred to speed up page rendering -->
    +    <script defer src="https://cdn.jsdelivr.net/npm/katex@0.16.4/dist/katex.min.js" integrity="sha384-PwRUT/YqbnEjkZO0zZxNqcxACrXe+j766U2amXcgMg5457rve2Y7I6ZJSm2A0mS4" crossorigin="anonymous"></script>
    +
    +    <!-- To automatically render math in text elements, include the auto-render extension: -->
    +    <script defer src="https://cdn.jsdelivr.net/npm/katex@0.16.4/dist/contrib/auto-render.min.js" integrity="sha384-+VBxd3r6XgURycqtZ117nYw44OOcIax56Z4dCRWbxyPt0Koah1uHoK0o4+/RRE05" crossorigin="anonymous"
    +        onload="renderMathInElement(document.body);"></script>
    +  </head>
    +  ...
    +</html>
    +
    +

    You can also download KaTeX and host it yourself.

    +

    For details on how to configure auto-render extension, refer to the documentation.

    +

    API

    +

    Call katex.render to render a TeX expression directly into a DOM element.
    +For example:

    +
    katex.render("c = \\pm\\sqrt{a^2 + b^2}", element, {
    +    throwOnError: false
    +});
    +
    +

    Call katex.renderToString to generate an HTML string of the rendered math,
    +e.g., for server-side rendering. For example:

    +
    var html = katex.renderToString("c = \\pm\\sqrt{a^2 + b^2}", {
    +    throwOnError: false
    +});
    +// '<span class="katex">...</span>'
    +
    +

    Make sure to include the CSS and font files in both cases.
    +If you are doing all rendering on the server, there is no need to include the
    +JavaScript on the client.

    +

    The examples above use the throwOnError: false option, which renders invalid
    +inputs as the TeX source code in red (by default), with the error message as
    +hover text. For other available options, see the
    +API documentation,
    +options documentation, and
    +handling errors documentation.

    +

    Demo and Documentation

    +

    Learn more about using KaTeX on the website!

    +

    Contributors

    +

    Code Contributors

    +

    This project exists thanks to all the people who contribute code. If you’d like to help, see our guide to contributing code.
    +Code contributors

    +

    Financial Contributors

    +

    Become a financial contributor and help us sustain our community.

    +

    Individuals

    +

    Contribute on Open Collective

    +

    Organizations

    +

    Support this project with your organization. Your logo will show up here with a link to your website.

    +

    Organization 1
    +Organization 2
    +Organization 3
    +Organization 4
    +Organization 5
    +Organization 6
    +Organization 7
    +Organization 8
    +Organization 9
    +Organization 10

    +

    License

    +

    KaTeX is licensed under the MIT License.

    diff --git a/katex/contrib/auto-render.js b/katex/contrib/auto-render.js new file mode 100644 index 0000000..0ec4f69 --- /dev/null +++ b/katex/contrib/auto-render.js @@ -0,0 +1,349 @@ +(function webpackUniversalModuleDefinition(root, factory) { + if(typeof exports === 'object' && typeof module === 'object') + module.exports = factory(require("katex")); + else if(typeof define === 'function' && define.amd) + define(["katex"], factory); + else if(typeof exports === 'object') + exports["renderMathInElement"] = factory(require("katex")); + else + root["renderMathInElement"] = factory(root["katex"]); +})((typeof self !== 'undefined' ? self : this), function(__WEBPACK_EXTERNAL_MODULE__771__) { +return /******/ (function() { // webpackBootstrap +/******/ "use strict"; +/******/ var __webpack_modules__ = ({ + +/***/ 771: +/***/ (function(module) { + +module.exports = __WEBPACK_EXTERNAL_MODULE__771__; + +/***/ }) + +/******/ }); +/************************************************************************/ +/******/ // The module cache +/******/ var __webpack_module_cache__ = {}; +/******/ +/******/ // The require function +/******/ function __webpack_require__(moduleId) { +/******/ // Check if module is in cache +/******/ var cachedModule = __webpack_module_cache__[moduleId]; +/******/ if (cachedModule !== undefined) { +/******/ return cachedModule.exports; +/******/ } +/******/ // Create a new module (and put it into the cache) +/******/ var module = __webpack_module_cache__[moduleId] = { +/******/ // no module.id needed +/******/ // no module.loaded needed +/******/ exports: {} +/******/ }; +/******/ +/******/ // Execute the module function +/******/ __webpack_modules__[moduleId](module, module.exports, __webpack_require__); +/******/ +/******/ // Return the exports of the module +/******/ return module.exports; +/******/ } +/******/ +/************************************************************************/ +/******/ /* webpack/runtime/compat get default export */ +/******/ !function() { +/******/ // getDefaultExport function for compatibility with non-harmony modules +/******/ __webpack_require__.n = function(module) { +/******/ var getter = module && module.__esModule ? +/******/ function() { return module['default']; } : +/******/ function() { return module; }; +/******/ __webpack_require__.d(getter, { a: getter }); +/******/ return getter; +/******/ }; +/******/ }(); +/******/ +/******/ /* webpack/runtime/define property getters */ +/******/ !function() { +/******/ // define getter functions for harmony exports +/******/ __webpack_require__.d = function(exports, definition) { +/******/ for(var key in definition) { +/******/ if(__webpack_require__.o(definition, key) && !__webpack_require__.o(exports, key)) { +/******/ Object.defineProperty(exports, key, { enumerable: true, get: definition[key] }); +/******/ } +/******/ } +/******/ }; +/******/ }(); +/******/ +/******/ /* webpack/runtime/hasOwnProperty shorthand */ +/******/ !function() { +/******/ __webpack_require__.o = function(obj, prop) { return Object.prototype.hasOwnProperty.call(obj, prop); } +/******/ }(); +/******/ +/************************************************************************/ +var __webpack_exports__ = {}; +// This entry need to be wrapped in an IIFE because it need to be isolated against other modules in the chunk. +!function() { + +// EXPORTS +__webpack_require__.d(__webpack_exports__, { + "default": function() { return /* binding */ auto_render; } +}); + +// EXTERNAL MODULE: external "katex" +var external_katex_ = __webpack_require__(771); +var external_katex_default = /*#__PURE__*/__webpack_require__.n(external_katex_); +;// CONCATENATED MODULE: ./contrib/auto-render/splitAtDelimiters.js +/* eslint no-constant-condition:0 */ +var findEndOfMath = function findEndOfMath(delimiter, text, startIndex) { + // Adapted from + // https://github.com/Khan/perseus/blob/master/src/perseus-markdown.jsx + var index = startIndex; + var braceLevel = 0; + var delimLength = delimiter.length; + + while (index < text.length) { + var character = text[index]; + + if (braceLevel <= 0 && text.slice(index, index + delimLength) === delimiter) { + return index; + } else if (character === "\\") { + index++; + } else if (character === "{") { + braceLevel++; + } else if (character === "}") { + braceLevel--; + } + + index++; + } + + return -1; +}; + +var escapeRegex = function escapeRegex(string) { + return string.replace(/[-/\\^$*+?.()|[\]{}]/g, "\\$&"); +}; + +var amsRegex = /^\\begin{/; + +var splitAtDelimiters = function splitAtDelimiters(text, delimiters) { + var index; + var data = []; + var regexLeft = new RegExp("(" + delimiters.map(function (x) { + return escapeRegex(x.left); + }).join("|") + ")"); + + while (true) { + index = text.search(regexLeft); + + if (index === -1) { + break; + } + + if (index > 0) { + data.push({ + type: "text", + data: text.slice(0, index) + }); + text = text.slice(index); // now text starts with delimiter + } // ... so this always succeeds: + + + var i = delimiters.findIndex(function (delim) { + return text.startsWith(delim.left); + }); + index = findEndOfMath(delimiters[i].right, text, delimiters[i].left.length); + + if (index === -1) { + break; + } + + var rawData = text.slice(0, index + delimiters[i].right.length); + var math = amsRegex.test(rawData) ? rawData : text.slice(delimiters[i].left.length, index); + data.push({ + type: "math", + data: math, + rawData: rawData, + display: delimiters[i].display + }); + text = text.slice(index + delimiters[i].right.length); + } + + if (text !== "") { + data.push({ + type: "text", + data: text + }); + } + + return data; +}; + +/* harmony default export */ var auto_render_splitAtDelimiters = (splitAtDelimiters); +;// CONCATENATED MODULE: ./contrib/auto-render/auto-render.js +/* eslint no-console:0 */ + + +/* Note: optionsCopy is mutated by this method. If it is ever exposed in the + * API, we should copy it before mutating. + */ + +var renderMathInText = function renderMathInText(text, optionsCopy) { + var data = auto_render_splitAtDelimiters(text, optionsCopy.delimiters); + + if (data.length === 1 && data[0].type === 'text') { + // There is no formula in the text. + // Let's return null which means there is no need to replace + // the current text node with a new one. + return null; + } + + var fragment = document.createDocumentFragment(); + + for (var i = 0; i < data.length; i++) { + if (data[i].type === "text") { + fragment.appendChild(document.createTextNode(data[i].data)); + } else { + var span = document.createElement("span"); + var math = data[i].data; // Override any display mode defined in the settings with that + // defined by the text itself + + optionsCopy.displayMode = data[i].display; + + try { + if (optionsCopy.preProcess) { + math = optionsCopy.preProcess(math); + } + + external_katex_default().render(math, span, optionsCopy); + } catch (e) { + if (!(e instanceof (external_katex_default()).ParseError)) { + throw e; + } + + optionsCopy.errorCallback("KaTeX auto-render: Failed to parse `" + data[i].data + "` with ", e); + fragment.appendChild(document.createTextNode(data[i].rawData)); + continue; + } + + fragment.appendChild(span); + } + } + + return fragment; +}; + +var renderElem = function renderElem(elem, optionsCopy) { + for (var i = 0; i < elem.childNodes.length; i++) { + var childNode = elem.childNodes[i]; + + if (childNode.nodeType === 3) { + // Text node + // Concatenate all sibling text nodes. + // Webkit browsers split very large text nodes into smaller ones, + // so the delimiters may be split across different nodes. + var textContentConcat = childNode.textContent; + var sibling = childNode.nextSibling; + var nSiblings = 0; + + while (sibling && sibling.nodeType === Node.TEXT_NODE) { + textContentConcat += sibling.textContent; + sibling = sibling.nextSibling; + nSiblings++; + } + + var frag = renderMathInText(textContentConcat, optionsCopy); + + if (frag) { + // Remove extra text nodes + for (var j = 0; j < nSiblings; j++) { + childNode.nextSibling.remove(); + } + + i += frag.childNodes.length - 1; + elem.replaceChild(frag, childNode); + } else { + // If the concatenated text does not contain math + // the siblings will not either + i += nSiblings; + } + } else if (childNode.nodeType === 1) { + (function () { + // Element node + var className = ' ' + childNode.className + ' '; + var shouldRender = optionsCopy.ignoredTags.indexOf(childNode.nodeName.toLowerCase()) === -1 && optionsCopy.ignoredClasses.every(function (x) { + return className.indexOf(' ' + x + ' ') === -1; + }); + + if (shouldRender) { + renderElem(childNode, optionsCopy); + } + })(); + } // Otherwise, it's something else, and ignore it. + + } +}; + +var renderMathInElement = function renderMathInElement(elem, options) { + if (!elem) { + throw new Error("No element provided to render"); + } + + var optionsCopy = {}; // Object.assign(optionsCopy, option) + + for (var option in options) { + if (options.hasOwnProperty(option)) { + optionsCopy[option] = options[option]; + } + } // default options + + + optionsCopy.delimiters = optionsCopy.delimiters || [{ + left: "$$", + right: "$$", + display: true + }, { + left: "\\(", + right: "\\)", + display: false + }, // LaTeX uses $…$, but it ruins the display of normal `$` in text: + // {left: "$", right: "$", display: false}, + // $ must come after $$ + // Render AMS environments even if outside $$…$$ delimiters. + { + left: "\\begin{equation}", + right: "\\end{equation}", + display: true + }, { + left: "\\begin{align}", + right: "\\end{align}", + display: true + }, { + left: "\\begin{alignat}", + right: "\\end{alignat}", + display: true + }, { + left: "\\begin{gather}", + right: "\\end{gather}", + display: true + }, { + left: "\\begin{CD}", + right: "\\end{CD}", + display: true + }, { + left: "\\[", + right: "\\]", + display: true + }]; + optionsCopy.ignoredTags = optionsCopy.ignoredTags || ["script", "noscript", "style", "textarea", "pre", "code", "option"]; + optionsCopy.ignoredClasses = optionsCopy.ignoredClasses || []; + optionsCopy.errorCallback = optionsCopy.errorCallback || console.error; // Enable sharing of global macros defined via `\gdef` between different + // math elements within a single call to `renderMathInElement`. + + optionsCopy.macros = optionsCopy.macros || {}; + renderElem(elem, optionsCopy); +}; + +/* harmony default export */ var auto_render = (renderMathInElement); +}(); +__webpack_exports__ = __webpack_exports__["default"]; +/******/ return __webpack_exports__; +/******/ })() +; +}); \ No newline at end of file diff --git a/katex/contrib/auto-render.min.js b/katex/contrib/auto-render.min.js new file mode 100644 index 0000000..74f07c2 --- /dev/null +++ b/katex/contrib/auto-render.min.js @@ -0,0 +1 @@ +!function(e,t){"object"==typeof exports&&"object"==typeof module?module.exports=t(require("katex")):"function"==typeof define&&define.amd?define(["katex"],t):"object"==typeof exports?exports.renderMathInElement=t(require("katex")):e.renderMathInElement=t(e.katex)}("undefined"!=typeof self?self:this,(function(e){return function(){"use strict";var t={771:function(t){t.exports=e}},r={};function n(e){var i=r[e];if(void 0!==i)return i.exports;var a=r[e]={exports:{}};return t[e](a,a.exports,n),a.exports}n.n=function(e){var t=e&&e.__esModule?function(){return e.default}:function(){return e};return n.d(t,{a:t}),t},n.d=function(e,t){for(var r in t)n.o(t,r)&&!n.o(e,r)&&Object.defineProperty(e,r,{enumerable:!0,get:t[r]})},n.o=function(e,t){return Object.prototype.hasOwnProperty.call(e,t)};var i={};return function(){n.d(i,{default:function(){return s}});var e=n(771),t=n.n(e),r=function(e,t,r){for(var n=r,i=0,a=e.length;n0&&(i.push({type:"text",data:e.slice(0,n)}),e=e.slice(n));var l=t.findIndex((function(t){return e.startsWith(t.left)}));if(-1===(n=r(t[l].right,e,t[l].left.length)))break;var d=e.slice(0,n+t[l].right.length),s=a.test(d)?d:e.slice(t[l].left.length,n);i.push({type:"math",data:s,rawData:d,display:t[l].display}),e=e.slice(n+t[l].right.length)}return""!==e&&i.push({type:"text",data:e}),i},l=function(e,r){var n=o(e,r.delimiters);if(1===n.length&&"text"===n[0].type)return null;for(var i=document.createDocumentFragment(),a=0;a escapeRegex(x.left)).join("|") + ")"); + + while (true) { + index = text.search(regexLeft); + + if (index === -1) { + break; + } + + if (index > 0) { + data.push({ + type: "text", + data: text.slice(0, index) + }); + text = text.slice(index); // now text starts with delimiter + } // ... so this always succeeds: + + + var i = delimiters.findIndex(delim => text.startsWith(delim.left)); + index = findEndOfMath(delimiters[i].right, text, delimiters[i].left.length); + + if (index === -1) { + break; + } + + var rawData = text.slice(0, index + delimiters[i].right.length); + var math = amsRegex.test(rawData) ? rawData : text.slice(delimiters[i].left.length, index); + data.push({ + type: "math", + data: math, + rawData, + display: delimiters[i].display + }); + text = text.slice(index + delimiters[i].right.length); + } + + if (text !== "") { + data.push({ + type: "text", + data: text + }); + } + + return data; +}; + +/* eslint no-console:0 */ +/* Note: optionsCopy is mutated by this method. If it is ever exposed in the + * API, we should copy it before mutating. + */ + +var renderMathInText = function renderMathInText(text, optionsCopy) { + var data = splitAtDelimiters(text, optionsCopy.delimiters); + + if (data.length === 1 && data[0].type === 'text') { + // There is no formula in the text. + // Let's return null which means there is no need to replace + // the current text node with a new one. + return null; + } + + var fragment = document.createDocumentFragment(); + + for (var i = 0; i < data.length; i++) { + if (data[i].type === "text") { + fragment.appendChild(document.createTextNode(data[i].data)); + } else { + var span = document.createElement("span"); + var math = data[i].data; // Override any display mode defined in the settings with that + // defined by the text itself + + optionsCopy.displayMode = data[i].display; + + try { + if (optionsCopy.preProcess) { + math = optionsCopy.preProcess(math); + } + + katex.render(math, span, optionsCopy); + } catch (e) { + if (!(e instanceof katex.ParseError)) { + throw e; + } + + optionsCopy.errorCallback("KaTeX auto-render: Failed to parse `" + data[i].data + "` with ", e); + fragment.appendChild(document.createTextNode(data[i].rawData)); + continue; + } + + fragment.appendChild(span); + } + } + + return fragment; +}; + +var renderElem = function renderElem(elem, optionsCopy) { + for (var i = 0; i < elem.childNodes.length; i++) { + var childNode = elem.childNodes[i]; + + if (childNode.nodeType === 3) { + // Text node + // Concatenate all sibling text nodes. + // Webkit browsers split very large text nodes into smaller ones, + // so the delimiters may be split across different nodes. + var textContentConcat = childNode.textContent; + var sibling = childNode.nextSibling; + var nSiblings = 0; + + while (sibling && sibling.nodeType === Node.TEXT_NODE) { + textContentConcat += sibling.textContent; + sibling = sibling.nextSibling; + nSiblings++; + } + + var frag = renderMathInText(textContentConcat, optionsCopy); + + if (frag) { + // Remove extra text nodes + for (var j = 0; j < nSiblings; j++) { + childNode.nextSibling.remove(); + } + + i += frag.childNodes.length - 1; + elem.replaceChild(frag, childNode); + } else { + // If the concatenated text does not contain math + // the siblings will not either + i += nSiblings; + } + } else if (childNode.nodeType === 1) { + (function () { + // Element node + var className = ' ' + childNode.className + ' '; + var shouldRender = optionsCopy.ignoredTags.indexOf(childNode.nodeName.toLowerCase()) === -1 && optionsCopy.ignoredClasses.every(x => className.indexOf(' ' + x + ' ') === -1); + + if (shouldRender) { + renderElem(childNode, optionsCopy); + } + })(); + } // Otherwise, it's something else, and ignore it. + + } +}; + +var renderMathInElement = function renderMathInElement(elem, options) { + if (!elem) { + throw new Error("No element provided to render"); + } + + var optionsCopy = {}; // Object.assign(optionsCopy, option) + + for (var option in options) { + if (options.hasOwnProperty(option)) { + optionsCopy[option] = options[option]; + } + } // default options + + + optionsCopy.delimiters = optionsCopy.delimiters || [{ + left: "$$", + right: "$$", + display: true + }, { + left: "\\(", + right: "\\)", + display: false + }, // LaTeX uses $…$, but it ruins the display of normal `$` in text: + // {left: "$", right: "$", display: false}, + // $ must come after $$ + // Render AMS environments even if outside $$…$$ delimiters. + { + left: "\\begin{equation}", + right: "\\end{equation}", + display: true + }, { + left: "\\begin{align}", + right: "\\end{align}", + display: true + }, { + left: "\\begin{alignat}", + right: "\\end{alignat}", + display: true + }, { + left: "\\begin{gather}", + right: "\\end{gather}", + display: true + }, { + left: "\\begin{CD}", + right: "\\end{CD}", + display: true + }, { + left: "\\[", + right: "\\]", + display: true + }]; + optionsCopy.ignoredTags = optionsCopy.ignoredTags || ["script", "noscript", "style", "textarea", "pre", "code", "option"]; + optionsCopy.ignoredClasses = optionsCopy.ignoredClasses || []; + optionsCopy.errorCallback = optionsCopy.errorCallback || console.error; // Enable sharing of global macros defined via `\gdef` between different + // math elements within a single call to `renderMathInElement`. + + optionsCopy.macros = optionsCopy.macros || {}; + renderElem(elem, optionsCopy); +}; + +export { renderMathInElement as default }; diff --git a/katex/contrib/copy-tex.js b/katex/contrib/copy-tex.js new file mode 100644 index 0000000..2897f1e --- /dev/null +++ b/katex/contrib/copy-tex.js @@ -0,0 +1,130 @@ +(function webpackUniversalModuleDefinition(root, factory) { + if(typeof exports === 'object' && typeof module === 'object') + module.exports = factory(); + else if(typeof define === 'function' && define.amd) + define([], factory); + else { + var a = factory(); + for(var i in a) (typeof exports === 'object' ? exports : root)[i] = a[i]; + } +})((typeof self !== 'undefined' ? self : this), function() { +return /******/ (function() { // webpackBootstrap +/******/ "use strict"; +var __webpack_exports__ = {}; + +;// CONCATENATED MODULE: ./contrib/copy-tex/katex2tex.js +// Set these to how you want inline and display math to be delimited. +var defaultCopyDelimiters = { + inline: ['$', '$'], + // alternative: ['\(', '\)'] + display: ['$$', '$$'] // alternative: ['\[', '\]'] + +}; // Replace .katex elements with their TeX source ( element). +// Modifies fragment in-place. Useful for writing your own 'copy' handler, +// as in copy-tex.js. + +function katexReplaceWithTex(fragment, copyDelimiters) { + if (copyDelimiters === void 0) { + copyDelimiters = defaultCopyDelimiters; + } + + // Remove .katex-html blocks that are preceded by .katex-mathml blocks + // (which will get replaced below). + var katexHtml = fragment.querySelectorAll('.katex-mathml + .katex-html'); + + for (var i = 0; i < katexHtml.length; i++) { + var element = katexHtml[i]; + + if (element.remove) { + element.remove(); + } else if (element.parentNode) { + element.parentNode.removeChild(element); + } + } // Replace .katex-mathml elements with their annotation (TeX source) + // descendant, with inline delimiters. + + + var katexMathml = fragment.querySelectorAll('.katex-mathml'); + + for (var _i = 0; _i < katexMathml.length; _i++) { + var _element = katexMathml[_i]; + + var texSource = _element.querySelector('annotation'); + + if (texSource) { + if (_element.replaceWith) { + _element.replaceWith(texSource); + } else if (_element.parentNode) { + _element.parentNode.replaceChild(texSource, _element); + } + + texSource.innerHTML = copyDelimiters.inline[0] + texSource.innerHTML + copyDelimiters.inline[1]; + } + } // Switch display math to display delimiters. + + + var displays = fragment.querySelectorAll('.katex-display annotation'); + + for (var _i2 = 0; _i2 < displays.length; _i2++) { + var _element2 = displays[_i2]; + _element2.innerHTML = copyDelimiters.display[0] + _element2.innerHTML.substr(copyDelimiters.inline[0].length, _element2.innerHTML.length - copyDelimiters.inline[0].length - copyDelimiters.inline[1].length) + copyDelimiters.display[1]; + } + + return fragment; +} +/* harmony default export */ var katex2tex = (katexReplaceWithTex); +;// CONCATENATED MODULE: ./contrib/copy-tex/copy-tex.js + // Return
    element containing node, or null if not found. + +function closestKatex(node) { + // If node is a Text Node, for example, go up to containing Element, + // where we can apply the `closest` method. + var element = node instanceof Element ? node : node.parentElement; + return element && element.closest('.katex'); +} // Global copy handler to modify behavior on/within .katex elements. + + +document.addEventListener('copy', function (event) { + var selection = window.getSelection(); + + if (selection.isCollapsed || !event.clipboardData) { + return; // default action OK if selection is empty or unchangeable + } + + var clipboardData = event.clipboardData; + var range = selection.getRangeAt(0); // When start point is within a formula, expand to entire formula. + + var startKatex = closestKatex(range.startContainer); + + if (startKatex) { + range.setStartBefore(startKatex); + } // Similarly, when end point is within a formula, expand to entire formula. + + + var endKatex = closestKatex(range.endContainer); + + if (endKatex) { + range.setEndAfter(endKatex); + } + + var fragment = range.cloneContents(); + + if (!fragment.querySelector('.katex-mathml')) { + return; // default action OK if no .katex-mathml elements + } + + var htmlContents = Array.prototype.map.call(fragment.childNodes, function (el) { + return el instanceof Text ? el.textContent : el.outerHTML; + }).join(''); // Preserve usual HTML copy/paste behavior. + + clipboardData.setData('text/html', htmlContents); // Rewrite plain-text version. + + clipboardData.setData('text/plain', katex2tex(fragment).textContent); // Prevent normal copy handling. + + event.preventDefault(); +}); +__webpack_exports__ = __webpack_exports__["default"]; +/******/ return __webpack_exports__; +/******/ })() +; +}); \ No newline at end of file diff --git a/katex/contrib/copy-tex.min.js b/katex/contrib/copy-tex.min.js new file mode 100644 index 0000000..5a1ec34 --- /dev/null +++ b/katex/contrib/copy-tex.min.js @@ -0,0 +1 @@ +!function(e,t){if("object"==typeof exports&&"object"==typeof module)module.exports=t();else if("function"==typeof define&&define.amd)define([],t);else{var n=t();for(var r in n)("object"==typeof exports?exports:e)[r]=n[r]}}("undefined"!=typeof self?self:this,(function(){return function(){"use strict";var e={},t={inline:["$","$"],display:["$$","$$"]};var n=function(e,n){void 0===n&&(n=t);for(var r=e.querySelectorAll(".katex-mathml + .katex-html"),a=0;a element). +// Modifies fragment in-place. Useful for writing your own 'copy' handler, +// as in copy-tex.js. + +function katexReplaceWithTex(fragment, copyDelimiters) { + if (copyDelimiters === void 0) { + copyDelimiters = defaultCopyDelimiters; + } + + // Remove .katex-html blocks that are preceded by .katex-mathml blocks + // (which will get replaced below). + var katexHtml = fragment.querySelectorAll('.katex-mathml + .katex-html'); + + for (var i = 0; i < katexHtml.length; i++) { + var element = katexHtml[i]; + + if (element.remove) { + element.remove(); + } else if (element.parentNode) { + element.parentNode.removeChild(element); + } + } // Replace .katex-mathml elements with their annotation (TeX source) + // descendant, with inline delimiters. + + + var katexMathml = fragment.querySelectorAll('.katex-mathml'); + + for (var _i = 0; _i < katexMathml.length; _i++) { + var _element = katexMathml[_i]; + + var texSource = _element.querySelector('annotation'); + + if (texSource) { + if (_element.replaceWith) { + _element.replaceWith(texSource); + } else if (_element.parentNode) { + _element.parentNode.replaceChild(texSource, _element); + } + + texSource.innerHTML = copyDelimiters.inline[0] + texSource.innerHTML + copyDelimiters.inline[1]; + } + } // Switch display math to display delimiters. + + + var displays = fragment.querySelectorAll('.katex-display annotation'); + + for (var _i2 = 0; _i2 < displays.length; _i2++) { + var _element2 = displays[_i2]; + _element2.innerHTML = copyDelimiters.display[0] + _element2.innerHTML.substr(copyDelimiters.inline[0].length, _element2.innerHTML.length - copyDelimiters.inline[0].length - copyDelimiters.inline[1].length) + copyDelimiters.display[1]; + } + + return fragment; +} + +function closestKatex(node) { + // If node is a Text Node, for example, go up to containing Element, + // where we can apply the `closest` method. + var element = node instanceof Element ? node : node.parentElement; + return element && element.closest('.katex'); +} // Global copy handler to modify behavior on/within .katex elements. + + +document.addEventListener('copy', function (event) { + var selection = window.getSelection(); + + if (selection.isCollapsed || !event.clipboardData) { + return; // default action OK if selection is empty or unchangeable + } + + var clipboardData = event.clipboardData; + var range = selection.getRangeAt(0); // When start point is within a formula, expand to entire formula. + + var startKatex = closestKatex(range.startContainer); + + if (startKatex) { + range.setStartBefore(startKatex); + } // Similarly, when end point is within a formula, expand to entire formula. + + + var endKatex = closestKatex(range.endContainer); + + if (endKatex) { + range.setEndAfter(endKatex); + } + + var fragment = range.cloneContents(); + + if (!fragment.querySelector('.katex-mathml')) { + return; // default action OK if no .katex-mathml elements + } + + var htmlContents = Array.prototype.map.call(fragment.childNodes, el => el instanceof Text ? 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"div" : "span"); + katexElement.setAttribute("class", display ? "equation" : "inline-equation"); + + try { + katex__WEBPACK_IMPORTED_MODULE_0___default().render(script.text, katexElement, { + displayMode: display + }); + } catch (err) { + //console.error(err); linter doesn't like this + katexElement.textContent = script.text; + } + + script.parentNode.replaceChild(katexElement, script); +}); +}(); +__webpack_exports__ = __webpack_exports__["default"]; +/******/ return __webpack_exports__; +/******/ })() +; +}); \ No newline at end of file diff --git a/katex/contrib/mathtex-script-type.min.js b/katex/contrib/mathtex-script-type.min.js new file mode 100644 index 0000000..af02830 --- /dev/null +++ b/katex/contrib/mathtex-script-type.min.js @@ -0,0 +1 @@ +!function(e,t){if("object"==typeof exports&&"object"==typeof module)module.exports=t(require("katex"));else if("function"==typeof define&&define.amd)define(["katex"],t);else{var r="object"==typeof exports?t(require("katex")):t(e.katex);for(var n in r)("object"==typeof exports?exports:e)[n]=r[n]}}("undefined"!=typeof self?self:this,(function(e){return function(){"use strict";var t={771:function(t){t.exports=e}},r={};function n(e){var o=r[e];if(void 0!==o)return o.exports;var i=r[e]={exports:{}};return t[e](i,i.exports,n),i.exports}n.n=function(e){var t=e&&e.__esModule?function(){return e.default}:function(){return e};return n.d(t,{a:t}),t},n.d=function(e,t){for(var r in t)n.o(t,r)&&!n.o(e,r)&&Object.defineProperty(e,r,{enumerable:!0,get:t[r]})},n.o=function(e,t){return Object.prototype.hasOwnProperty.call(e,t)};var o,i,a,u={};return o=n(771),i=n.n(o),a=document.body.getElementsByTagName("script"),(a=Array.prototype.slice.call(a)).forEach((function(e){if(!e.type||!e.type.match(/math\/tex/i))return-1;var t=null!=e.type.match(/mode\s*=\s*display(;|\s|\n|$)/),r=document.createElement(t?"div":"span");r.setAttribute("class",t?"equation":"inline-equation");try{i().render(e.text,r,{displayMode:t})}catch(t){r.textContent=e.text}e.parentNode.replaceChild(r,e)})),u=u.default}()})); \ No newline at end of file diff --git a/katex/contrib/mathtex-script-type.mjs b/katex/contrib/mathtex-script-type.mjs new file mode 100644 index 0000000..1083b92 --- /dev/null +++ b/katex/contrib/mathtex-script-type.mjs @@ -0,0 +1,24 @@ +import katex from '../katex.mjs'; + +var scripts = document.body.getElementsByTagName("script"); +scripts = Array.prototype.slice.call(scripts); +scripts.forEach(function (script) { + if (!script.type || !script.type.match(/math\/tex/i)) { + return -1; + } + + var display = script.type.match(/mode\s*=\s*display(;|\s|\n|$)/) != null; + var katexElement = document.createElement(display ? 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"equation" : "inline-equation"); + + try { + katex.render(script.text, katexElement, { + displayMode: display + }); + } catch (err) { + //console.error(err); linter doesn't like this + katexElement.textContent = script.text; + } + + script.parentNode.replaceChild(katexElement, script); +}); diff --git a/katex/contrib/mhchem.js b/katex/contrib/mhchem.js new file mode 100644 index 0000000..3109305 --- /dev/null +++ b/katex/contrib/mhchem.js @@ -0,0 +1,3216 @@ +(function webpackUniversalModuleDefinition(root, factory) { + if(typeof exports === 'object' && typeof module === 'object') + module.exports = factory(require("katex")); + else if(typeof define === 'function' && define.amd) + define(["katex"], factory); + else { + var a = typeof exports === 'object' ? factory(require("katex")) : factory(root["katex"]); + for(var i in a) (typeof exports === 'object' ? exports : root)[i] = a[i]; + } +})((typeof self !== 'undefined' ? self : this), function(__WEBPACK_EXTERNAL_MODULE__771__) { +return /******/ (function() { // webpackBootstrap +/******/ "use strict"; +/******/ var __webpack_modules__ = ({ + +/***/ 771: +/***/ (function(module) { + +module.exports = __WEBPACK_EXTERNAL_MODULE__771__; + +/***/ }) + +/******/ }); +/************************************************************************/ +/******/ // The module cache +/******/ var __webpack_module_cache__ = {}; +/******/ +/******/ // The require function +/******/ function __webpack_require__(moduleId) { +/******/ // Check if module is in cache +/******/ var cachedModule = __webpack_module_cache__[moduleId]; +/******/ if (cachedModule !== undefined) { +/******/ return cachedModule.exports; +/******/ } +/******/ // Create a new module (and put it into the cache) +/******/ var module = __webpack_module_cache__[moduleId] = { +/******/ // no module.id needed +/******/ // no module.loaded needed +/******/ exports: {} +/******/ }; +/******/ +/******/ // Execute the module function +/******/ __webpack_modules__[moduleId](module, module.exports, __webpack_require__); +/******/ +/******/ // Return the exports of the module +/******/ return module.exports; +/******/ } +/******/ +/************************************************************************/ +/******/ /* webpack/runtime/compat get default export */ +/******/ !function() { +/******/ // getDefaultExport function for compatibility with non-harmony modules +/******/ __webpack_require__.n = function(module) { +/******/ var getter = module && module.__esModule ? +/******/ function() { return module['default']; } : +/******/ function() { return module; }; +/******/ __webpack_require__.d(getter, { a: getter }); +/******/ return getter; +/******/ }; +/******/ }(); +/******/ +/******/ /* webpack/runtime/define property getters */ +/******/ !function() { +/******/ // define getter functions for harmony exports +/******/ __webpack_require__.d = function(exports, definition) { +/******/ for(var key in definition) { +/******/ if(__webpack_require__.o(definition, key) && !__webpack_require__.o(exports, key)) { +/******/ Object.defineProperty(exports, key, { enumerable: true, get: definition[key] }); +/******/ } +/******/ } +/******/ }; +/******/ }(); +/******/ +/******/ /* webpack/runtime/hasOwnProperty shorthand */ +/******/ !function() { +/******/ __webpack_require__.o = function(obj, prop) { return Object.prototype.hasOwnProperty.call(obj, prop); } +/******/ }(); +/******/ +/************************************************************************/ +var __webpack_exports__ = {}; +// This entry need to be wrapped in an IIFE because it need to be isolated against other modules in the chunk. +!function() { +/* harmony import */ var katex__WEBPACK_IMPORTED_MODULE_0__ = __webpack_require__(771); +/* harmony import */ var katex__WEBPACK_IMPORTED_MODULE_0___default = /*#__PURE__*/__webpack_require__.n(katex__WEBPACK_IMPORTED_MODULE_0__); +/* eslint-disable */ + +/* -*- Mode: Javascript; indent-tabs-mode:nil; js-indent-level: 2 -*- */ + +/* vim: set ts=2 et sw=2 tw=80: */ + +/************************************************************* + * + * KaTeX mhchem.js + * + * This file implements a KaTeX version of mhchem version 3.3.0. + * It is adapted from MathJax/extensions/TeX/mhchem.js + * It differs from the MathJax version as follows: + * 1. The interface is changed so that it can be called from KaTeX, not MathJax. + * 2. \rlap and \llap are replaced with \mathrlap and \mathllap. + * 3. Four lines of code are edited in order to use \raisebox instead of \raise. + * 4. The reaction arrow code is simplified. All reaction arrows are rendered + * using KaTeX extensible arrows instead of building non-extensible arrows. + * 5. \tripledash vertical alignment is slightly adjusted. + * + * This code, as other KaTeX code, is released under the MIT license. + * + * /************************************************************* + * + * MathJax/extensions/TeX/mhchem.js + * + * Implements the \ce command for handling chemical formulas + * from the mhchem LaTeX package. + * + * --------------------------------------------------------------------- + * + * Copyright (c) 2011-2015 The MathJax Consortium + * Copyright (c) 2015-2018 Martin Hensel + * + * Licensed under the Apache License, Version 2.0 (the "License"); + * you may not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * http://www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an "AS IS" BASIS, + * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ +// +// Coding Style +// - use '' for identifiers that can by minified/uglified +// - use "" for strings that need to stay untouched +// version: "3.3.0" for MathJax and KaTeX +// Add \ce, \pu, and \tripledash to the KaTeX macros. +katex__WEBPACK_IMPORTED_MODULE_0___default().__defineMacro("\\ce", function (context) { + return chemParse(context.consumeArgs(1)[0], "ce"); +}); + +katex__WEBPACK_IMPORTED_MODULE_0___default().__defineMacro("\\pu", function (context) { + return chemParse(context.consumeArgs(1)[0], "pu"); +}); // Needed for \bond for the ~ forms +// Raise by 2.56mu, not 2mu. We're raising a hyphen-minus, U+002D, not +// a mathematical minus, U+2212. So we need that extra 0.56. + + +katex__WEBPACK_IMPORTED_MODULE_0___default().__defineMacro("\\tripledash", "{\\vphantom{-}\\raisebox{2.56mu}{$\\mkern2mu" + "\\tiny\\text{-}\\mkern1mu\\text{-}\\mkern1mu\\text{-}\\mkern2mu$}}"); + + // +// This is the main function for handing the \ce and \pu commands. +// It takes the argument to \ce or \pu and returns the corresponding TeX string. +// + +var chemParse = function chemParse(tokens, stateMachine) { + // Recreate the argument string from KaTeX's array of tokens. + var str = ""; + var expectedLoc = tokens.length && tokens[tokens.length - 1].loc.start; + + for (var i = tokens.length - 1; i >= 0; i--) { + if (tokens[i].loc.start > expectedLoc) { + // context.consumeArgs has eaten a space. + str += " "; + expectedLoc = tokens[i].loc.start; + } + + str += tokens[i].text; + expectedLoc += tokens[i].text.length; + } + + var tex = texify.go(mhchemParser.go(str, stateMachine)); + return tex; +}; // +// Core parser for mhchem syntax (recursive) +// + +/** @type {MhchemParser} */ + + +var mhchemParser = { + // + // Parses mchem \ce syntax + // + // Call like + // go("H2O"); + // + go: function go(input, stateMachine) { + if (!input) { + return []; + } + + if (stateMachine === undefined) { + stateMachine = 'ce'; + } + + var state = '0'; // + // String buffers for parsing: + // + // buffer.a == amount + // buffer.o == element + // buffer.b == left-side superscript + // buffer.p == left-side subscript + // buffer.q == right-side subscript + // buffer.d == right-side superscript + // + // buffer.r == arrow + // buffer.rdt == arrow, script above, type + // buffer.rd == arrow, script above, content + // buffer.rqt == arrow, script below, type + // buffer.rq == arrow, script below, content + // + // buffer.text_ + // buffer.rm + // etc. + // + // buffer.parenthesisLevel == int, starting at 0 + // buffer.sb == bool, space before + // buffer.beginsWithBond == bool + // + // These letters are also used as state names. + // + // Other states: + // 0 == begin of main part (arrow/operator unlikely) + // 1 == next entity + // 2 == next entity (arrow/operator unlikely) + // 3 == next atom + // c == macro + // + + /** @type {Buffer} */ + + var buffer = {}; + buffer['parenthesisLevel'] = 0; + input = input.replace(/\n/g, " "); + input = input.replace(/[\u2212\u2013\u2014\u2010]/g, "-"); + input = input.replace(/[\u2026]/g, "..."); // + // Looks through mhchemParser.transitions, to execute a matching action + // (recursive) + // + + var lastInput; + var watchdog = 10; + /** @type {ParserOutput[]} */ + + var output = []; + + while (true) { + if (lastInput !== input) { + watchdog = 10; + lastInput = input; + } else { + watchdog--; + } // + // Find actions in transition table + // + + + var machine = mhchemParser.stateMachines[stateMachine]; + var t = machine.transitions[state] || machine.transitions['*']; + + iterateTransitions: for (var i = 0; i < t.length; i++) { + var matches = mhchemParser.patterns.match_(t[i].pattern, input); + + if (matches) { + // + // Execute actions + // + var task = t[i].task; + + for (var iA = 0; iA < task.action_.length; iA++) { + var o; // + // Find and execute action + // + + if (machine.actions[task.action_[iA].type_]) { + o = machine.actions[task.action_[iA].type_](buffer, matches.match_, task.action_[iA].option); + } else if (mhchemParser.actions[task.action_[iA].type_]) { + o = mhchemParser.actions[task.action_[iA].type_](buffer, matches.match_, task.action_[iA].option); + } else { + throw ["MhchemBugA", "mhchem bug A. Please report. (" + task.action_[iA].type_ + ")"]; // Trying to use non-existing action + } // + // Add output + // + + + mhchemParser.concatArray(output, o); + } // + // Set next state, + // Shorten input, + // Continue with next character + // (= apply only one transition per position) + // + + + state = task.nextState || state; + + if (input.length > 0) { + if (!task.revisit) { + input = matches.remainder; + } + + if (!task.toContinue) { + break iterateTransitions; + } + } else { + return output; + } + } + } // + // Prevent infinite loop + // + + + if (watchdog <= 0) { + throw ["MhchemBugU", "mhchem bug U. Please report."]; // Unexpected character + } + } + }, + concatArray: function concatArray(a, b) { + if (b) { + if (Array.isArray(b)) { + for (var iB = 0; iB < b.length; iB++) { + a.push(b[iB]); + } + } else { + a.push(b); + } + } + }, + patterns: { + // + // Matching patterns + // either regexps or function that return null or {match_:"a", remainder:"bc"} + // + patterns: { + // property names must not look like integers ("2") for correct property traversal order, later on + 'empty': /^$/, + 'else': /^./, + 'else2': /^./, + 'space': /^\s/, + 'space A': /^\s(?=[A-Z\\$])/, + 'space$': /^\s$/, + 'a-z': /^[a-z]/, + 'x': /^x/, + 'x$': /^x$/, + 'i$': /^i$/, + 'letters': /^(?:[a-zA-Z\u03B1-\u03C9\u0391-\u03A9?@]|(?:\\(?:alpha|beta|gamma|delta|epsilon|zeta|eta|theta|iota|kappa|lambda|mu|nu|xi|omicron|pi|rho|sigma|tau|upsilon|phi|chi|psi|omega|Gamma|Delta|Theta|Lambda|Xi|Pi|Sigma|Upsilon|Phi|Psi|Omega)(?:\s+|\{\}|(?![a-zA-Z]))))+/, + '\\greek': /^\\(?:alpha|beta|gamma|delta|epsilon|zeta|eta|theta|iota|kappa|lambda|mu|nu|xi|omicron|pi|rho|sigma|tau|upsilon|phi|chi|psi|omega|Gamma|Delta|Theta|Lambda|Xi|Pi|Sigma|Upsilon|Phi|Psi|Omega)(?:\s+|\{\}|(?![a-zA-Z]))/, + 'one lowercase latin letter $': /^(?:([a-z])(?:$|[^a-zA-Z]))$/, + '$one lowercase latin letter$ $': /^\$(?:([a-z])(?:$|[^a-zA-Z]))\$$/, + 'one lowercase greek letter $': /^(?:\$?[\u03B1-\u03C9]\$?|\$?\\(?:alpha|beta|gamma|delta|epsilon|zeta|eta|theta|iota|kappa|lambda|mu|nu|xi|omicron|pi|rho|sigma|tau|upsilon|phi|chi|psi|omega)\s*\$?)(?:\s+|\{\}|(?![a-zA-Z]))$/, + 'digits': /^[0-9]+/, + '-9.,9': /^[+\-]?(?:[0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+))/, + '-9.,9 no missing 0': /^[+\-]?[0-9]+(?:[.,][0-9]+)?/, + '(-)(9.,9)(e)(99)': function e99(input) { + var m = input.match(/^(\+\-|\+\/\-|\+|\-|\\pm\s?)?([0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+))?(\((?:[0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+))\))?(?:([eE]|\s*(\*|x|\\times|\u00D7)\s*10\^)([+\-]?[0-9]+|\{[+\-]?[0-9]+\}))?/); + + if (m && m[0]) { + return { + match_: m.splice(1), + remainder: input.substr(m[0].length) + }; + } + + return null; + }, + '(-)(9)^(-9)': function _(input) { + var m = input.match(/^(\+\-|\+\/\-|\+|\-|\\pm\s?)?([0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+)?)\^([+\-]?[0-9]+|\{[+\-]?[0-9]+\})/); + + if (m && m[0]) { + return { + match_: m.splice(1), + remainder: input.substr(m[0].length) + }; + } + + return null; + }, + 'state of aggregation $': function stateOfAggregation$(input) { + // ... or crystal system + var a = mhchemParser.patterns.findObserveGroups(input, "", /^\([a-z]{1,3}(?=[\),])/, ")", ""); // (aq), (aq,$\infty$), (aq, sat) + + if (a && a.remainder.match(/^($|[\s,;\)\]\}])/)) { + return a; + } // AND end of 'phrase' + + + var m = input.match(/^(?:\((?:\\ca\s?)?\$[amothc]\$\))/); // OR crystal system ($o$) (\ca$c$) + + if (m) { + return { + match_: m[0], + remainder: input.substr(m[0].length) + }; + } + + return null; + }, + '_{(state of aggregation)}$': /^_\{(\([a-z]{1,3}\))\}/, + '{[(': /^(?:\\\{|\[|\()/, + ')]}': /^(?:\)|\]|\\\})/, + ', ': /^[,;]\s*/, + ',': /^[,;]/, + '.': /^[.]/, + '. ': /^([.\u22C5\u00B7\u2022])\s*/, + '...': /^\.\.\.(?=$|[^.])/, + '* ': /^([*])\s*/, + '^{(...)}': function _(input) { + return mhchemParser.patterns.findObserveGroups(input, "^{", "", "", "}"); + }, + '^($...$)': function $$(input) { + return mhchemParser.patterns.findObserveGroups(input, "^", "$", "$", ""); + }, + '^a': /^\^([0-9]+|[^\\_])/, + '^\\x{}{}': function x(input) { + return mhchemParser.patterns.findObserveGroups(input, "^", /^\\[a-zA-Z]+\{/, "}", "", "", "{", "}", "", true); + }, + '^\\x{}': function x(input) { + return mhchemParser.patterns.findObserveGroups(input, "^", /^\\[a-zA-Z]+\{/, "}", ""); + }, + '^\\x': /^\^(\\[a-zA-Z]+)\s*/, + '^(-1)': /^\^(-?\d+)/, + '\'': /^'/, + '_{(...)}': function _(input) { + return mhchemParser.patterns.findObserveGroups(input, "_{", "", "", "}"); + }, + '_($...$)': function _$$(input) { + return mhchemParser.patterns.findObserveGroups(input, "_", "$", "$", ""); + }, + '_9': /^_([+\-]?[0-9]+|[^\\])/, + '_\\x{}{}': function _X(input) { + return mhchemParser.patterns.findObserveGroups(input, "_", /^\\[a-zA-Z]+\{/, "}", "", "", "{", "}", "", true); + }, + '_\\x{}': function _X(input) { + return mhchemParser.patterns.findObserveGroups(input, "_", /^\\[a-zA-Z]+\{/, "}", ""); + }, + '_\\x': /^_(\\[a-zA-Z]+)\s*/, + '^_': /^(?:\^(?=_)|\_(?=\^)|[\^_]$)/, + '{}': /^\{\}/, + '{...}': function _(input) { + return mhchemParser.patterns.findObserveGroups(input, "", "{", "}", ""); + }, + '{(...)}': function _(input) { + return mhchemParser.patterns.findObserveGroups(input, "{", "", "", "}"); + }, + '$...$': function $$(input) { + return mhchemParser.patterns.findObserveGroups(input, "", "$", "$", ""); + }, + '${(...)}$': function $$(input) { + return mhchemParser.patterns.findObserveGroups(input, "${", "", "", "}$"); + }, + '$(...)$': function $$(input) { + return mhchemParser.patterns.findObserveGroups(input, "$", "", "", "$"); + }, + '=<>': /^[=<>]/, + '#': /^[#\u2261]/, + '+': /^\+/, + '-$': /^-(?=[\s_},;\]/]|$|\([a-z]+\))/, + // -space -, -; -] -/ -$ -state-of-aggregation + '-9': /^-(?=[0-9])/, + '- orbital overlap': /^-(?=(?:[spd]|sp)(?:$|[\s,;\)\]\}]))/, + '-': /^-/, + 'pm-operator': /^(?:\\pm|\$\\pm\$|\+-|\+\/-)/, + 'operator': /^(?:\+|(?:[\-=<>]|<<|>>|\\approx|\$\\approx\$)(?=\s|$|-?[0-9]))/, + 'arrowUpDown': /^(?:v|\(v\)|\^|\(\^\))(?=$|[\s,;\)\]\}])/, + '\\bond{(...)}': function bond(input) { + return mhchemParser.patterns.findObserveGroups(input, "\\bond{", "", "", "}"); + }, + '->': /^(?:<->|<-->|->|<-|<=>>|<<=>|<=>|[\u2192\u27F6\u21CC])/, + 'CMT': /^[CMT](?=\[)/, + '[(...)]': function _(input) { + return mhchemParser.patterns.findObserveGroups(input, "[", "", "", "]"); + }, + '1st-level escape': /^(&|\\\\|\\hline)\s*/, + '\\,': /^(?:\\[,\ ;:])/, + // \\x - but output no space before + '\\x{}{}': function x(input) { + return mhchemParser.patterns.findObserveGroups(input, "", /^\\[a-zA-Z]+\{/, "}", "", "", "{", "}", "", true); + }, + '\\x{}': function x(input) { + return mhchemParser.patterns.findObserveGroups(input, "", /^\\[a-zA-Z]+\{/, "}", ""); + }, + '\\ca': /^\\ca(?:\s+|(?![a-zA-Z]))/, + '\\x': /^(?:\\[a-zA-Z]+\s*|\\[_&{}%])/, + 'orbital': /^(?:[0-9]{1,2}[spdfgh]|[0-9]{0,2}sp)(?=$|[^a-zA-Z])/, + // only those with numbers in front, because the others will be formatted correctly anyway + 'others': /^[\/~|]/, + '\\frac{(...)}': function frac(input) { + return mhchemParser.patterns.findObserveGroups(input, "\\frac{", "", "", "}", "{", "", "", "}"); + }, + '\\overset{(...)}': function overset(input) { + return mhchemParser.patterns.findObserveGroups(input, "\\overset{", "", "", "}", "{", "", "", "}"); + }, + "\\underset{(...)}": function underset(input) { + return mhchemParser.patterns.findObserveGroups(input, "\\underset{", "", "", "}", "{", "", "", "}"); + }, + "\\underbrace{(...)}": function underbrace(input) { + return mhchemParser.patterns.findObserveGroups(input, "\\underbrace{", "", "", "}_", "{", "", "", "}"); + }, + '\\color{(...)}0': function color0(input) { + return mhchemParser.patterns.findObserveGroups(input, "\\color{", "", "", "}"); + }, + '\\color{(...)}{(...)}1': function color1(input) { + return mhchemParser.patterns.findObserveGroups(input, "\\color{", "", "", "}", "{", "", "", "}"); + }, + '\\color(...){(...)}2': function color2(input) { + return mhchemParser.patterns.findObserveGroups(input, "\\color", "\\", "", /^(?=\{)/, "{", "", "", "}"); + }, + '\\ce{(...)}': function ce(input) { + return mhchemParser.patterns.findObserveGroups(input, "\\ce{", "", "", "}"); + }, + 'oxidation$': /^(?:[+-][IVX]+|\\pm\s*0|\$\\pm\$\s*0)$/, + 'd-oxidation$': /^(?:[+-]?\s?[IVX]+|\\pm\s*0|\$\\pm\$\s*0)$/, + // 0 could be oxidation or charge + 'roman numeral': /^[IVX]+/, + '1/2$': /^[+\-]?(?:[0-9]+|\$[a-z]\$|[a-z])\/[0-9]+(?:\$[a-z]\$|[a-z])?$/, + 'amount': function amount(input) { + var match; // e.g. 2, 0.5, 1/2, -2, n/2, +; $a$ could be added later in parsing + + match = input.match(/^(?:(?:(?:\([+\-]?[0-9]+\/[0-9]+\)|[+\-]?(?:[0-9]+|\$[a-z]\$|[a-z])\/[0-9]+|[+\-]?[0-9]+[.,][0-9]+|[+\-]?\.[0-9]+|[+\-]?[0-9]+)(?:[a-z](?=\s*[A-Z]))?)|[+\-]?[a-z](?=\s*[A-Z])|\+(?!\s))/); + + if (match) { + return { + match_: match[0], + remainder: input.substr(match[0].length) + }; + } + + var a = mhchemParser.patterns.findObserveGroups(input, "", "$", "$", ""); + + if (a) { + // e.g. $2n-1$, $-$ + match = a.match_.match(/^\$(?:\(?[+\-]?(?:[0-9]*[a-z]?[+\-])?[0-9]*[a-z](?:[+\-][0-9]*[a-z]?)?\)?|\+|-)\$$/); + + if (match) { + return { + match_: match[0], + remainder: input.substr(match[0].length) + }; + } + } + + return null; + }, + 'amount2': function amount2(input) { + return this['amount'](input); + }, + '(KV letters),': /^(?:[A-Z][a-z]{0,2}|i)(?=,)/, + 'formula$': function formula$(input) { + if (input.match(/^\([a-z]+\)$/)) { + return null; + } // state of aggregation = no formula + + + var match = input.match(/^(?:[a-z]|(?:[0-9\ \+\-\,\.\(\)]+[a-z])+[0-9\ \+\-\,\.\(\)]*|(?:[a-z][0-9\ \+\-\,\.\(\)]+)+[a-z]?)$/); + + if (match) { + return { + match_: match[0], + remainder: input.substr(match[0].length) + }; + } + + return null; + }, + 'uprightEntities': /^(?:pH|pOH|pC|pK|iPr|iBu)(?=$|[^a-zA-Z])/, + '/': /^\s*(\/)\s*/, + '//': /^\s*(\/\/)\s*/, + '*': /^\s*[*.]\s*/ + }, + findObserveGroups: function findObserveGroups(input, begExcl, begIncl, endIncl, endExcl, beg2Excl, beg2Incl, end2Incl, end2Excl, combine) { + /** @type {{(input: string, pattern: string | RegExp): string | string[] | null;}} */ + var _match = function _match(input, pattern) { + if (typeof pattern === "string") { + if (input.indexOf(pattern) !== 0) { + return null; + } + + return pattern; + } else { + var match = input.match(pattern); + + if (!match) { + return null; + } + + return match[0]; + } + }; + /** @type {{(input: string, i: number, endChars: string | RegExp): {endMatchBegin: number, endMatchEnd: number} | null;}} */ + + + var _findObserveGroups = function _findObserveGroups(input, i, endChars) { + var braces = 0; + + while (i < input.length) { + var a = input.charAt(i); + + var match = _match(input.substr(i), endChars); + + if (match !== null && braces === 0) { + return { + endMatchBegin: i, + endMatchEnd: i + match.length + }; + } else if (a === "{") { + braces++; + } else if (a === "}") { + if (braces === 0) { + throw ["ExtraCloseMissingOpen", "Extra close brace or missing open brace"]; + } else { + braces--; + } + } + + i++; + } + + if (braces > 0) { + return null; + } + + return null; + }; + + var match = _match(input, begExcl); + + if (match === null) { + return null; + } + + input = input.substr(match.length); + match = _match(input, begIncl); + + if (match === null) { + return null; + } + + var e = _findObserveGroups(input, match.length, endIncl || endExcl); + + if (e === null) { + return null; + } + + var match1 = input.substring(0, endIncl ? e.endMatchEnd : e.endMatchBegin); + + if (!(beg2Excl || beg2Incl)) { + return { + match_: match1, + remainder: input.substr(e.endMatchEnd) + }; + } else { + var group2 = this.findObserveGroups(input.substr(e.endMatchEnd), beg2Excl, beg2Incl, end2Incl, end2Excl); + + if (group2 === null) { + return null; + } + /** @type {string[]} */ + + + var matchRet = [match1, group2.match_]; + return { + match_: combine ? matchRet.join("") : matchRet, + remainder: group2.remainder + }; + } + }, + // + // Matching function + // e.g. match("a", input) will look for the regexp called "a" and see if it matches + // returns null or {match_:"a", remainder:"bc"} + // + match_: function match_(m, input) { + var pattern = mhchemParser.patterns.patterns[m]; + + if (pattern === undefined) { + throw ["MhchemBugP", "mhchem bug P. Please report. (" + m + ")"]; // Trying to use non-existing pattern + } else if (typeof pattern === "function") { + return mhchemParser.patterns.patterns[m](input); // cannot use cached var pattern here, because some pattern functions need this===mhchemParser + } else { + // RegExp + var match = input.match(pattern); + + if (match) { + var mm; + + if (match[2]) { + mm = [match[1], match[2]]; + } else if (match[1]) { + mm = match[1]; + } else { + mm = match[0]; + } + + return { + match_: mm, + remainder: input.substr(match[0].length) + }; + } + + return null; + } + } + }, + // + // Generic state machine actions + // + actions: { + 'a=': function a(buffer, m) { + buffer.a = (buffer.a || "") + m; + }, + 'b=': function b(buffer, m) { + buffer.b = (buffer.b || "") + m; + }, + 'p=': function p(buffer, m) { + buffer.p = (buffer.p || "") + m; + }, + 'o=': function o(buffer, m) { + buffer.o = (buffer.o || "") + m; + }, + 'q=': function q(buffer, m) { + buffer.q = (buffer.q || "") + m; + }, + 'd=': function d(buffer, m) { + buffer.d = (buffer.d || "") + m; + }, + 'rm=': function rm(buffer, m) { + buffer.rm = (buffer.rm || "") + m; + }, + 'text=': function text(buffer, m) { + buffer.text_ = (buffer.text_ || "") + m; + }, + 'insert': function insert(buffer, m, a) { + return { + type_: a + }; + }, + 'insert+p1': function insertP1(buffer, m, a) { + return { + type_: a, + p1: m + }; + }, + 'insert+p1+p2': function insertP1P2(buffer, m, a) { + return { + type_: a, + p1: m[0], + p2: m[1] + }; + }, + 'copy': function copy(buffer, m) { + return m; + }, + 'rm': function rm(buffer, m) { + return { + type_: 'rm', + p1: m || "" + }; + }, + 'text': function text(buffer, m) { + return mhchemParser.go(m, 'text'); + }, + '{text}': function text(buffer, m) { + var ret = ["{"]; + mhchemParser.concatArray(ret, mhchemParser.go(m, 'text')); + ret.push("}"); + return ret; + }, + 'tex-math': function texMath(buffer, m) { + return mhchemParser.go(m, 'tex-math'); + }, + 'tex-math tight': function texMathTight(buffer, m) { + return mhchemParser.go(m, 'tex-math tight'); + }, + 'bond': function bond(buffer, m, k) { + return { + type_: 'bond', + kind_: k || m + }; + }, + 'color0-output': function color0Output(buffer, m) { + return { + type_: 'color0', + color: m[0] + }; + }, + 'ce': function ce(buffer, m) { + return mhchemParser.go(m); + }, + '1/2': function _(buffer, m) { + /** @type {ParserOutput[]} */ + var ret = []; + + if (m.match(/^[+\-]/)) { + ret.push(m.substr(0, 1)); + m = m.substr(1); + } + + var n = m.match(/^([0-9]+|\$[a-z]\$|[a-z])\/([0-9]+)(\$[a-z]\$|[a-z])?$/); + n[1] = n[1].replace(/\$/g, ""); + ret.push({ + type_: 'frac', + p1: n[1], + p2: n[2] + }); + + if (n[3]) { + n[3] = n[3].replace(/\$/g, ""); + ret.push({ + type_: 'tex-math', + p1: n[3] + }); + } + + return ret; + }, + '9,9': function _(buffer, m) { + return mhchemParser.go(m, '9,9'); + } + }, + // + // createTransitions + // convert { 'letter': { 'state': { action_: 'output' } } } to { 'state' => [ { pattern: 'letter', task: { action_: [{type_: 'output'}] } } ] } + // with expansion of 'a|b' to 'a' and 'b' (at 2 places) + // + createTransitions: function createTransitions(o) { + var pattern, state; + /** @type {string[]} */ + + var stateArray; + var i; // + // 1. Collect all states + // + + /** @type {Transitions} */ + + var transitions = {}; + + for (pattern in o) { + for (state in o[pattern]) { + stateArray = state.split("|"); + o[pattern][state].stateArray = stateArray; + + for (i = 0; i < stateArray.length; i++) { + transitions[stateArray[i]] = []; + } + } + } // + // 2. Fill states + // + + + for (pattern in o) { + for (state in o[pattern]) { + stateArray = o[pattern][state].stateArray || []; + + for (i = 0; i < stateArray.length; i++) { + // + // 2a. Normalize actions into array: 'text=' ==> [{type_:'text='}] + // (Note to myself: Resolving the function here would be problematic. It would need .bind (for *this*) and currying (for *option*).) + // + + /** @type {any} */ + var p = o[pattern][state]; + + if (p.action_) { + p.action_ = [].concat(p.action_); + + for (var k = 0; k < p.action_.length; k++) { + if (typeof p.action_[k] === "string") { + p.action_[k] = { + type_: p.action_[k] + }; + } + } + } else { + p.action_ = []; + } // + // 2.b Multi-insert + // + + + var patternArray = pattern.split("|"); + + for (var j = 0; j < patternArray.length; j++) { + if (stateArray[i] === '*') { + // insert into all + for (var t in transitions) { + transitions[t].push({ + pattern: patternArray[j], + task: p + }); + } + } else { + transitions[stateArray[i]].push({ + pattern: patternArray[j], + task: p + }); + } + } + } + } + } + + return transitions; + }, + stateMachines: {} +}; // +// Definition of state machines +// + +mhchemParser.stateMachines = { + // + // \ce state machines + // + //#region ce + 'ce': { + // main parser + transitions: mhchemParser.createTransitions({ + 'empty': { + '*': { + action_: 'output' + } + }, + 'else': { + '0|1|2': { + action_: 'beginsWithBond=false', + revisit: true, + toContinue: true + } + }, + 'oxidation$': { + '0': { + action_: 'oxidation-output' + } + }, + 'CMT': { + 'r': { + action_: 'rdt=', + nextState: 'rt' + }, + 'rd': { + action_: 'rqt=', + nextState: 'rdt' + } + }, + 'arrowUpDown': { + '0|1|2|as': { + action_: ['sb=false', 'output', 'operator'], + nextState: '1' + } + }, + 'uprightEntities': { + '0|1|2': { + action_: ['o=', 'output'], + nextState: '1' + } + }, + 'orbital': { + '0|1|2|3': { + action_: 'o=', + nextState: 'o' + } + }, + '->': { + '0|1|2|3': { + action_: 'r=', + nextState: 'r' + }, + 'a|as': { + action_: ['output', 'r='], + nextState: 'r' + }, + '*': { + action_: ['output', 'r='], + nextState: 'r' + } + }, + '+': { + 'o': { + action_: 'd= kv', + nextState: 'd' + }, + 'd|D': { + action_: 'd=', + nextState: 'd' + }, + 'q': { + action_: 'd=', + nextState: 'qd' + }, + 'qd|qD': { + action_: 'd=', + nextState: 'qd' + }, + 'dq': { + action_: ['output', 'd='], + nextState: 'd' + }, + '3': { + action_: ['sb=false', 'output', 'operator'], + nextState: '0' + } + }, + 'amount': { + '0|2': { + action_: 'a=', + nextState: 'a' + } + }, + 'pm-operator': { + '0|1|2|a|as': { + action_: ['sb=false', 'output', { + type_: 'operator', + option: '\\pm' + }], + nextState: '0' + } + }, + 'operator': { + '0|1|2|a|as': { + action_: ['sb=false', 'output', 'operator'], + nextState: '0' + } + }, + '-$': { + 'o|q': { + action_: ['charge or bond', 'output'], + nextState: 'qd' + }, + 'd': { + action_: 'd=', + nextState: 'd' + }, + 'D': { + action_: ['output', { + type_: 'bond', + option: "-" + }], + nextState: '3' + }, + 'q': { + action_: 'd=', + nextState: 'qd' + }, + 'qd': { + action_: 'd=', + nextState: 'qd' + }, + 'qD|dq': { + action_: ['output', { + type_: 'bond', + option: "-" + }], + nextState: '3' + } + }, + '-9': { + '3|o': { + action_: ['output', { + type_: 'insert', + option: 'hyphen' + }], + nextState: '3' + } + }, + '- orbital overlap': { + 'o': { + action_: ['output', { + type_: 'insert', + option: 'hyphen' + }], + nextState: '2' + }, + 'd': { + action_: ['output', { + type_: 'insert', + option: 'hyphen' + }], + nextState: '2' + } + }, + '-': { + '0|1|2': { + action_: [{ + type_: 'output', + option: 1 + }, 'beginsWithBond=true', { + type_: 'bond', + option: "-" + }], + nextState: '3' + }, + '3': { + action_: { + type_: 'bond', + option: "-" + } + }, + 'a': { + action_: ['output', { + type_: 'insert', + option: 'hyphen' + }], + nextState: '2' + }, + 'as': { + action_: [{ + type_: 'output', + option: 2 + }, { + type_: 'bond', + option: "-" + }], + nextState: '3' + }, + 'b': { + action_: 'b=' + }, + 'o': { + action_: { + type_: '- after o/d', + option: false + }, + nextState: '2' + }, + 'q': { + action_: { + type_: '- after o/d', + option: false + }, + nextState: '2' + }, + 'd|qd|dq': { + action_: { + type_: '- after o/d', + option: true + }, + nextState: '2' + }, + 'D|qD|p': { + action_: ['output', { + type_: 'bond', + option: "-" + }], + nextState: '3' + } + }, + 'amount2': { + '1|3': { + action_: 'a=', + nextState: 'a' + } + }, + 'letters': { + '0|1|2|3|a|as|b|p|bp|o': { + action_: 'o=', + nextState: 'o' + }, + 'q|dq': { + action_: ['output', 'o='], + nextState: 'o' + }, + 'd|D|qd|qD': { + action_: 'o after d', + nextState: 'o' + } + }, + 'digits': { + 'o': { + action_: 'q=', + nextState: 'q' + }, + 'd|D': { + action_: 'q=', + nextState: 'dq' + }, + 'q': { + action_: ['output', 'o='], + nextState: 'o' + }, + 'a': { + action_: 'o=', + nextState: 'o' + } + }, + 'space A': { + 'b|p|bp': {} + }, + 'space': { + 'a': { + nextState: 'as' + }, + '0': { + action_: 'sb=false' + }, + '1|2': { + action_: 'sb=true' + }, + 'r|rt|rd|rdt|rdq': { + action_: 'output', + nextState: '0' + }, + '*': { + action_: ['output', 'sb=true'], + nextState: '1' + } + }, + '1st-level escape': { + '1|2': { + action_: ['output', { + type_: 'insert+p1', + option: '1st-level escape' + }] + }, + '*': { + action_: ['output', { + type_: 'insert+p1', + option: '1st-level escape' + }], + nextState: '0' + } + }, + '[(...)]': { + 'r|rt': { + action_: 'rd=', + nextState: 'rd' + }, + 'rd|rdt': { + action_: 'rq=', + nextState: 'rdq' + } + }, + '...': { + 'o|d|D|dq|qd|qD': { + action_: ['output', { + type_: 'bond', + option: "..." + }], + nextState: '3' + }, + '*': { + action_: [{ + type_: 'output', + option: 1 + }, { + type_: 'insert', + option: 'ellipsis' + }], + nextState: '1' + } + }, + '. |* ': { + '*': { + action_: ['output', { + type_: 'insert', + option: 'addition compound' + }], + nextState: '1' + } + }, + 'state of aggregation $': { + '*': { + action_: ['output', 'state of aggregation'], + nextState: '1' + } + }, + '{[(': { + 'a|as|o': { + action_: ['o=', 'output', 'parenthesisLevel++'], + nextState: '2' + }, + '0|1|2|3': { + action_: ['o=', 'output', 'parenthesisLevel++'], + nextState: '2' + }, + '*': { + action_: ['output', 'o=', 'output', 'parenthesisLevel++'], + nextState: '2' + } + }, + ')]}': { + '0|1|2|3|b|p|bp|o': { + action_: ['o=', 'parenthesisLevel--'], + nextState: 'o' + }, + 'a|as|d|D|q|qd|qD|dq': { + action_: ['output', 'o=', 'parenthesisLevel--'], + nextState: 'o' + } + }, + ', ': { + '*': { + action_: ['output', 'comma'], + nextState: '0' + } + }, + '^_': { + // ^ and _ without a sensible argument + '*': {} + }, + '^{(...)}|^($...$)': { + '0|1|2|as': { + action_: 'b=', + nextState: 'b' + }, + 'p': { + action_: 'b=', + nextState: 'bp' + }, + '3|o': { + action_: 'd= kv', + nextState: 'D' + }, + 'q': { + action_: 'd=', + nextState: 'qD' + }, + 'd|D|qd|qD|dq': { + action_: ['output', 'd='], + nextState: 'D' + } + }, + '^a|^\\x{}{}|^\\x{}|^\\x|\'': { + '0|1|2|as': { + action_: 'b=', + nextState: 'b' + }, + 'p': { + action_: 'b=', + nextState: 'bp' + }, + '3|o': { + action_: 'd= kv', + nextState: 'd' + }, + 'q': { + action_: 'd=', + nextState: 'qd' + }, + 'd|qd|D|qD': { + action_: 'd=' + }, + 'dq': { + action_: ['output', 'd='], + nextState: 'd' + } + }, + '_{(state of aggregation)}$': { + 'd|D|q|qd|qD|dq': { + action_: ['output', 'q='], + nextState: 'q' + } + }, + '_{(...)}|_($...$)|_9|_\\x{}{}|_\\x{}|_\\x': { + '0|1|2|as': { + action_: 'p=', + nextState: 'p' + }, + 'b': { + action_: 'p=', + nextState: 'bp' + }, + '3|o': { + action_: 'q=', + nextState: 'q' + }, + 'd|D': { + action_: 'q=', + nextState: 'dq' + }, + 'q|qd|qD|dq': { + action_: ['output', 'q='], + nextState: 'q' + } + }, + '=<>': { + '0|1|2|3|a|as|o|q|d|D|qd|qD|dq': { + action_: [{ + type_: 'output', + option: 2 + }, 'bond'], + nextState: '3' + } + }, + '#': { + '0|1|2|3|a|as|o': { + action_: [{ + type_: 'output', + option: 2 + }, { + type_: 'bond', + option: "#" + }], + nextState: '3' + } + }, + '{}': { + '*': { + action_: { + type_: 'output', + option: 1 + }, + nextState: '1' + } + }, + '{...}': { + '0|1|2|3|a|as|b|p|bp': { + action_: 'o=', + nextState: 'o' + }, + 'o|d|D|q|qd|qD|dq': { + action_: ['output', 'o='], + nextState: 'o' + } + }, + '$...$': { + 'a': { + action_: 'a=' + }, + // 2$n$ + '0|1|2|3|as|b|p|bp|o': { + action_: 'o=', + nextState: 'o' + }, + // not 'amount' + 'as|o': { + action_: 'o=' + }, + 'q|d|D|qd|qD|dq': { + action_: ['output', 'o='], + nextState: 'o' + } + }, + '\\bond{(...)}': { + '*': { + action_: [{ + type_: 'output', + option: 2 + }, 'bond'], + nextState: "3" + } + }, + '\\frac{(...)}': { + '*': { + action_: [{ + type_: 'output', + option: 1 + }, 'frac-output'], + nextState: '3' + } + }, + '\\overset{(...)}': { + '*': { + action_: [{ + type_: 'output', + option: 2 + }, 'overset-output'], + nextState: '3' + } + }, + "\\underset{(...)}": { + '*': { + action_: [{ + type_: 'output', + option: 2 + }, 'underset-output'], + nextState: '3' + } + }, + "\\underbrace{(...)}": { + '*': { + action_: [{ + type_: 'output', + option: 2 + }, 'underbrace-output'], + nextState: '3' + } + }, + '\\color{(...)}{(...)}1|\\color(...){(...)}2': { + '*': { + action_: [{ + type_: 'output', + option: 2 + }, 'color-output'], + nextState: '3' + } + }, + '\\color{(...)}0': { + '*': { + action_: [{ + type_: 'output', + option: 2 + }, 'color0-output'] + } + }, + '\\ce{(...)}': { + '*': { + action_: [{ + type_: 'output', + option: 2 + }, 'ce'], + nextState: '3' + } + }, + '\\,': { + '*': { + action_: [{ + type_: 'output', + option: 1 + }, 'copy'], + nextState: '1' + } + }, + '\\x{}{}|\\x{}|\\x': { + '0|1|2|3|a|as|b|p|bp|o|c0': { + action_: ['o=', 'output'], + nextState: '3' + }, + '*': { + action_: ['output', 'o=', 'output'], + nextState: '3' + } + }, + 'others': { + '*': { + action_: [{ + type_: 'output', + option: 1 + }, 'copy'], + nextState: '3' + } + }, + 'else2': { + 'a': { + action_: 'a to o', + nextState: 'o', + revisit: true + }, + 'as': { + action_: ['output', 'sb=true'], + nextState: '1', + revisit: true + }, + 'r|rt|rd|rdt|rdq': { + action_: ['output'], + nextState: '0', + revisit: true + }, + '*': { + action_: ['output', 'copy'], + nextState: '3' + } + } + }), + actions: { + 'o after d': function oAfterD(buffer, m) { + var ret; + + if ((buffer.d || "").match(/^[0-9]+$/)) { + var tmp = buffer.d; + buffer.d = undefined; + ret = this['output'](buffer); + buffer.b = tmp; + } else { + ret = this['output'](buffer); + } + + mhchemParser.actions['o='](buffer, m); + return ret; + }, + 'd= kv': function dKv(buffer, m) { + buffer.d = m; + buffer.dType = 'kv'; + }, + 'charge or bond': function chargeOrBond(buffer, m) { + if (buffer['beginsWithBond']) { + /** @type {ParserOutput[]} */ + var ret = []; + mhchemParser.concatArray(ret, this['output'](buffer)); + mhchemParser.concatArray(ret, mhchemParser.actions['bond'](buffer, m, "-")); + return ret; + } else { + buffer.d = m; + } + }, + '- after o/d': function afterOD(buffer, m, isAfterD) { + var c1 = mhchemParser.patterns.match_('orbital', buffer.o || ""); + var c2 = mhchemParser.patterns.match_('one lowercase greek letter $', buffer.o || ""); + var c3 = mhchemParser.patterns.match_('one lowercase latin letter $', buffer.o || ""); + var c4 = mhchemParser.patterns.match_('$one lowercase latin letter$ $', buffer.o || ""); + var hyphenFollows = m === "-" && (c1 && c1.remainder === "" || c2 || c3 || c4); + + if (hyphenFollows && !buffer.a && !buffer.b && !buffer.p && !buffer.d && !buffer.q && !c1 && c3) { + buffer.o = '$' + buffer.o + '$'; + } + /** @type {ParserOutput[]} */ + + + var ret = []; + + if (hyphenFollows) { + mhchemParser.concatArray(ret, this['output'](buffer)); + ret.push({ + type_: 'hyphen' + }); + } else { + c1 = mhchemParser.patterns.match_('digits', buffer.d || ""); + + if (isAfterD && c1 && c1.remainder === '') { + mhchemParser.concatArray(ret, mhchemParser.actions['d='](buffer, m)); + mhchemParser.concatArray(ret, this['output'](buffer)); + } else { + mhchemParser.concatArray(ret, this['output'](buffer)); + mhchemParser.concatArray(ret, mhchemParser.actions['bond'](buffer, m, "-")); + } + } + + return ret; + }, + 'a to o': function aToO(buffer) { + buffer.o = buffer.a; + buffer.a = undefined; + }, + 'sb=true': function sbTrue(buffer) { + buffer.sb = true; + }, + 'sb=false': function sbFalse(buffer) { + buffer.sb = false; + }, + 'beginsWithBond=true': function beginsWithBondTrue(buffer) { + buffer['beginsWithBond'] = true; + }, + 'beginsWithBond=false': function beginsWithBondFalse(buffer) { + buffer['beginsWithBond'] = false; + }, + 'parenthesisLevel++': function parenthesisLevel(buffer) { + buffer['parenthesisLevel']++; + }, + 'parenthesisLevel--': function parenthesisLevel(buffer) { + buffer['parenthesisLevel']--; + }, + 'state of aggregation': function stateOfAggregation(buffer, m) { + return { + type_: 'state of aggregation', + p1: mhchemParser.go(m, 'o') + }; + }, + 'comma': function comma(buffer, m) { + var a = m.replace(/\s*$/, ''); + var withSpace = a !== m; + + if (withSpace && buffer['parenthesisLevel'] === 0) { + return { + type_: 'comma enumeration L', + p1: a + }; + } else { + return { + type_: 'comma enumeration M', + p1: a + }; + } + }, + 'output': function output(buffer, m, entityFollows) { + // entityFollows: + // undefined = if we have nothing else to output, also ignore the just read space (buffer.sb) + // 1 = an entity follows, never omit the space if there was one just read before (can only apply to state 1) + // 2 = 1 + the entity can have an amount, so output a\, instead of converting it to o (can only apply to states a|as) + + /** @type {ParserOutput | ParserOutput[]} */ + var ret; + + if (!buffer.r) { + ret = []; + + if (!buffer.a && !buffer.b && !buffer.p && !buffer.o && !buffer.q && !buffer.d && !entityFollows) {//ret = []; + } else { + if (buffer.sb) { + ret.push({ + type_: 'entitySkip' + }); + } + + if (!buffer.o && !buffer.q && !buffer.d && !buffer.b && !buffer.p && entityFollows !== 2) { + buffer.o = buffer.a; + buffer.a = undefined; + } else if (!buffer.o && !buffer.q && !buffer.d && (buffer.b || buffer.p)) { + buffer.o = buffer.a; + buffer.d = buffer.b; + buffer.q = buffer.p; + buffer.a = buffer.b = buffer.p = undefined; + } else { + if (buffer.o && buffer.dType === 'kv' && mhchemParser.patterns.match_('d-oxidation$', buffer.d || "")) { + buffer.dType = 'oxidation'; + } else if (buffer.o && buffer.dType === 'kv' && !buffer.q) { + buffer.dType = undefined; + } + } + + ret.push({ + type_: 'chemfive', + a: mhchemParser.go(buffer.a, 'a'), + b: mhchemParser.go(buffer.b, 'bd'), + p: mhchemParser.go(buffer.p, 'pq'), + o: mhchemParser.go(buffer.o, 'o'), + q: mhchemParser.go(buffer.q, 'pq'), + d: mhchemParser.go(buffer.d, buffer.dType === 'oxidation' ? 'oxidation' : 'bd'), + dType: buffer.dType + }); + } + } else { + // r + + /** @type {ParserOutput[]} */ + var rd; + + if (buffer.rdt === 'M') { + rd = mhchemParser.go(buffer.rd, 'tex-math'); + } else if (buffer.rdt === 'T') { + rd = [{ + type_: 'text', + p1: buffer.rd || "" + }]; + } else { + rd = mhchemParser.go(buffer.rd); + } + /** @type {ParserOutput[]} */ + + + var rq; + + if (buffer.rqt === 'M') { + rq = mhchemParser.go(buffer.rq, 'tex-math'); + } else if (buffer.rqt === 'T') { + rq = [{ + type_: 'text', + p1: buffer.rq || "" + }]; + } else { + rq = mhchemParser.go(buffer.rq); + } + + ret = { + type_: 'arrow', + r: buffer.r, + rd: rd, + rq: rq + }; + } + + for (var p in buffer) { + if (p !== 'parenthesisLevel' && p !== 'beginsWithBond') { + delete buffer[p]; + } + } + + return ret; + }, + 'oxidation-output': function oxidationOutput(buffer, m) { + var ret = ["{"]; + mhchemParser.concatArray(ret, mhchemParser.go(m, 'oxidation')); + ret.push("}"); + return ret; + }, + 'frac-output': function fracOutput(buffer, m) { + return { + type_: 'frac-ce', + p1: mhchemParser.go(m[0]), + p2: mhchemParser.go(m[1]) + }; + }, + 'overset-output': function oversetOutput(buffer, m) { + return { + type_: 'overset', + p1: mhchemParser.go(m[0]), + p2: mhchemParser.go(m[1]) + }; + }, + 'underset-output': function undersetOutput(buffer, m) { + return { + type_: 'underset', + p1: mhchemParser.go(m[0]), + p2: mhchemParser.go(m[1]) + }; + }, + 'underbrace-output': function underbraceOutput(buffer, m) { + return { + type_: 'underbrace', + p1: mhchemParser.go(m[0]), + p2: mhchemParser.go(m[1]) + }; + }, + 'color-output': function colorOutput(buffer, m) { + return { + type_: 'color', + color1: m[0], + color2: mhchemParser.go(m[1]) + }; + }, + 'r=': function r(buffer, m) { + buffer.r = m; + }, + 'rdt=': function rdt(buffer, m) { + buffer.rdt = m; + }, + 'rd=': function rd(buffer, m) { + buffer.rd = m; + }, + 'rqt=': function rqt(buffer, m) { + buffer.rqt = m; + }, + 'rq=': function rq(buffer, m) { + buffer.rq = m; + }, + 'operator': function operator(buffer, m, p1) { + return { + type_: 'operator', + kind_: p1 || m + }; + } + } + }, + 'a': { + transitions: mhchemParser.createTransitions({ + 'empty': { + '*': {} + }, + '1/2$': { + '0': { + action_: '1/2' + } + }, + 'else': { + '0': { + nextState: '1', + revisit: true + } + }, + '$(...)$': { + '*': { + action_: 'tex-math tight', + nextState: '1' + } + }, + ',': { + '*': { + action_: { + type_: 'insert', + option: 'commaDecimal' + } + } + }, + 'else2': { + '*': { + action_: 'copy' + } + } + }), + actions: {} + }, + 'o': { + transitions: mhchemParser.createTransitions({ + 'empty': { + '*': {} + }, + '1/2$': { + '0': { + action_: '1/2' + } + }, + 'else': { + '0': { + nextState: '1', + revisit: true + } + }, + 'letters': { + '*': { + action_: 'rm' + } + }, + '\\ca': { + '*': { + action_: { + type_: 'insert', + option: 'circa' + } + } + }, + '\\x{}{}|\\x{}|\\x': { + '*': { + action_: 'copy' + } + }, + '${(...)}$|$(...)$': { + '*': { + action_: 'tex-math' + } + }, + '{(...)}': { + '*': { + action_: '{text}' + } + }, + 'else2': { + '*': { + action_: 'copy' + } + } + }), + actions: {} + }, + 'text': { + transitions: mhchemParser.createTransitions({ + 'empty': { + '*': { + action_: 'output' + } + }, + '{...}': { + '*': { + action_: 'text=' + } + }, + '${(...)}$|$(...)$': { + '*': { + action_: 'tex-math' + } + }, + '\\greek': { + '*': { + action_: ['output', 'rm'] + } + }, + '\\,|\\x{}{}|\\x{}|\\x': { + '*': { + action_: ['output', 'copy'] + } + }, + 'else': { + '*': { + action_: 'text=' + } + } + }), + actions: { + 'output': function output(buffer) { + if (buffer.text_) { + /** @type {ParserOutput} */ + var ret = { + type_: 'text', + p1: buffer.text_ + }; + + for (var p in buffer) { + delete buffer[p]; + } + + return ret; + } + } + } + }, + 'pq': { + transitions: mhchemParser.createTransitions({ + 'empty': { + '*': {} + }, + 'state of aggregation $': { + '*': { + action_: 'state of aggregation' + } + }, + 'i$': { + '0': { + nextState: '!f', + revisit: true + } + }, + '(KV letters),': { + '0': { + action_: 'rm', + nextState: '0' + } + }, + 'formula$': { + '0': { + nextState: 'f', + revisit: true + } + }, + '1/2$': { + '0': { + action_: '1/2' + } + }, + 'else': { + '0': { + nextState: '!f', + revisit: true + } + }, + '${(...)}$|$(...)$': { + '*': { + action_: 'tex-math' + } + }, + '{(...)}': { + '*': { + action_: 'text' + } + }, + 'a-z': { + 'f': { + action_: 'tex-math' + } + }, + 'letters': { + '*': { + action_: 'rm' + } + }, + '-9.,9': { + '*': { + action_: '9,9' + } + }, + ',': { + '*': { + action_: { + type_: 'insert+p1', + option: 'comma enumeration S' + } + } + }, + '\\color{(...)}{(...)}1|\\color(...){(...)}2': { + '*': { + action_: 'color-output' + } + }, + '\\color{(...)}0': { + '*': { + action_: 'color0-output' + } + }, + '\\ce{(...)}': { + '*': { + action_: 'ce' + } + }, + '\\,|\\x{}{}|\\x{}|\\x': { + '*': { + action_: 'copy' + } + }, + 'else2': { + '*': { + action_: 'copy' + } + } + }), + actions: { + 'state of aggregation': function stateOfAggregation(buffer, m) { + return { + type_: 'state of aggregation subscript', + p1: mhchemParser.go(m, 'o') + }; + }, + 'color-output': function colorOutput(buffer, m) { + return { + type_: 'color', + color1: m[0], + color2: mhchemParser.go(m[1], 'pq') + }; + } + } + }, + 'bd': { + transitions: mhchemParser.createTransitions({ + 'empty': { + '*': {} + }, + 'x$': { + '0': { + nextState: '!f', + revisit: true + } + }, + 'formula$': { + '0': { + nextState: 'f', + revisit: true + } + }, + 'else': { + '0': { + nextState: '!f', + revisit: true + } + }, + '-9.,9 no missing 0': { + '*': { + action_: '9,9' + } + }, + '.': { + '*': { + action_: { + type_: 'insert', + option: 'electron dot' + } + } + }, + 'a-z': { + 'f': { + action_: 'tex-math' + } + }, + 'x': { + '*': { + action_: { + type_: 'insert', + option: 'KV x' + } + } + }, + 'letters': { + '*': { + action_: 'rm' + } + }, + '\'': { + '*': { + action_: { + type_: 'insert', + option: 'prime' + } + } + }, + '${(...)}$|$(...)$': { + '*': { + action_: 'tex-math' + } + }, + '{(...)}': { + '*': { + action_: 'text' + } + }, + '\\color{(...)}{(...)}1|\\color(...){(...)}2': { + '*': { + action_: 'color-output' + } + }, + '\\color{(...)}0': { + '*': { + action_: 'color0-output' + } + }, + '\\ce{(...)}': { + '*': { + action_: 'ce' + } + }, + '\\,|\\x{}{}|\\x{}|\\x': { + '*': { + action_: 'copy' + } + }, + 'else2': { + '*': { + action_: 'copy' + } + } + }), + actions: { + 'color-output': function colorOutput(buffer, m) { + return { + type_: 'color', + color1: m[0], + color2: mhchemParser.go(m[1], 'bd') + }; + } + } + }, + 'oxidation': { + transitions: mhchemParser.createTransitions({ + 'empty': { + '*': {} + }, + 'roman numeral': { + '*': { + action_: 'roman-numeral' + } + }, + '${(...)}$|$(...)$': { + '*': { + action_: 'tex-math' + } + }, + 'else': { + '*': { + action_: 'copy' + } + } + }), + actions: { + 'roman-numeral': function romanNumeral(buffer, m) { + return { + type_: 'roman numeral', + p1: m || "" + }; + } + } + }, + 'tex-math': { + transitions: mhchemParser.createTransitions({ + 'empty': { + '*': { + action_: 'output' + } + }, + '\\ce{(...)}': { + '*': { + action_: ['output', 'ce'] + } + }, + '{...}|\\,|\\x{}{}|\\x{}|\\x': { + '*': { + action_: 'o=' + } + }, + 'else': { + '*': { + action_: 'o=' + } + } + }), + actions: { + 'output': function output(buffer) { + if (buffer.o) { + /** @type {ParserOutput} */ + var ret = { + type_: 'tex-math', + p1: buffer.o + }; + + for (var p in buffer) { + delete buffer[p]; + } + + return ret; + } + } + } + }, + 'tex-math tight': { + transitions: mhchemParser.createTransitions({ + 'empty': { + '*': { + action_: 'output' + } + }, + '\\ce{(...)}': { + '*': { + action_: ['output', 'ce'] + } + }, + '{...}|\\,|\\x{}{}|\\x{}|\\x': { + '*': { + action_: 'o=' + } + }, + '-|+': { + '*': { + action_: 'tight operator' + } + }, + 'else': { + '*': { + action_: 'o=' + } + } + }), + actions: { + 'tight operator': function tightOperator(buffer, m) { + buffer.o = (buffer.o || "") + "{" + m + "}"; + }, + 'output': function output(buffer) { + if (buffer.o) { + /** @type {ParserOutput} */ + var ret = { + type_: 'tex-math', + p1: buffer.o + }; + + for (var p in buffer) { + delete buffer[p]; + } + + return ret; + } + } + } + }, + '9,9': { + transitions: mhchemParser.createTransitions({ + 'empty': { + '*': {} + }, + ',': { + '*': { + action_: 'comma' + } + }, + 'else': { + '*': { + action_: 'copy' + } + } + }), + actions: { + 'comma': function comma() { + return { + type_: 'commaDecimal' + }; + } + } + }, + //#endregion + // + // \pu state machines + // + //#region pu + 'pu': { + transitions: mhchemParser.createTransitions({ + 'empty': { + '*': { + action_: 'output' + } + }, + 'space$': { + '*': { + action_: ['output', 'space'] + } + }, + '{[(|)]}': { + '0|a': { + action_: 'copy' + } + }, + '(-)(9)^(-9)': { + '0': { + action_: 'number^', + nextState: 'a' + } + }, + '(-)(9.,9)(e)(99)': { + '0': { + action_: 'enumber', + nextState: 'a' + } + }, + 'space': { + '0|a': {} + }, + 'pm-operator': { + '0|a': { + action_: { + type_: 'operator', + option: '\\pm' + }, + nextState: '0' + } + }, + 'operator': { + '0|a': { + action_: 'copy', + nextState: '0' + } + }, + '//': { + 'd': { + action_: 'o=', + nextState: '/' + } + }, + '/': { + 'd': { + action_: 'o=', + nextState: '/' + } + }, + '{...}|else': { + '0|d': { + action_: 'd=', + nextState: 'd' + }, + 'a': { + action_: ['space', 'd='], + nextState: 'd' + }, + '/|q': { + action_: 'q=', + nextState: 'q' + } + } + }), + actions: { + 'enumber': function enumber(buffer, m) { + /** @type {ParserOutput[]} */ + var ret = []; + + if (m[0] === "+-" || m[0] === "+/-") { + ret.push("\\pm "); + } else if (m[0]) { + ret.push(m[0]); + } + + if (m[1]) { + mhchemParser.concatArray(ret, mhchemParser.go(m[1], 'pu-9,9')); + + if (m[2]) { + if (m[2].match(/[,.]/)) { + mhchemParser.concatArray(ret, mhchemParser.go(m[2], 'pu-9,9')); + } else { + ret.push(m[2]); + } + } + + m[3] = m[4] || m[3]; + + if (m[3]) { + m[3] = m[3].trim(); + + if (m[3] === "e" || m[3].substr(0, 1) === "*") { + ret.push({ + type_: 'cdot' + }); + } else { + ret.push({ + type_: 'times' + }); + } + } + } + + if (m[3]) { + ret.push("10^{" + m[5] + "}"); + } + + return ret; + }, + 'number^': function number(buffer, m) { + /** @type {ParserOutput[]} */ + var ret = []; + + if (m[0] === "+-" || m[0] === "+/-") { + ret.push("\\pm "); + } else if (m[0]) { + ret.push(m[0]); + } + + mhchemParser.concatArray(ret, mhchemParser.go(m[1], 'pu-9,9')); + ret.push("^{" + m[2] + "}"); + return ret; + }, + 'operator': function operator(buffer, m, p1) { + return { + type_: 'operator', + kind_: p1 || m + }; + }, + 'space': function space() { + return { + type_: 'pu-space-1' + }; + }, + 'output': function output(buffer) { + /** @type {ParserOutput | ParserOutput[]} */ + var ret; + var md = mhchemParser.patterns.match_('{(...)}', buffer.d || ""); + + if (md && md.remainder === '') { + buffer.d = md.match_; + } + + var mq = mhchemParser.patterns.match_('{(...)}', buffer.q || ""); + + if (mq && mq.remainder === '') { + buffer.q = mq.match_; + } + + if (buffer.d) { + buffer.d = buffer.d.replace(/\u00B0C|\^oC|\^{o}C/g, "{}^{\\circ}C"); + buffer.d = buffer.d.replace(/\u00B0F|\^oF|\^{o}F/g, "{}^{\\circ}F"); + } + + if (buffer.q) { + // fraction + buffer.q = buffer.q.replace(/\u00B0C|\^oC|\^{o}C/g, "{}^{\\circ}C"); + buffer.q = buffer.q.replace(/\u00B0F|\^oF|\^{o}F/g, "{}^{\\circ}F"); + var b5 = { + d: mhchemParser.go(buffer.d, 'pu'), + q: mhchemParser.go(buffer.q, 'pu') + }; + + if (buffer.o === '//') { + ret = { + type_: 'pu-frac', + p1: b5.d, + p2: b5.q + }; + } else { + ret = b5.d; + + if (b5.d.length > 1 || b5.q.length > 1) { + ret.push({ + type_: ' / ' + }); + } else { + ret.push({ + type_: '/' + }); + } + + mhchemParser.concatArray(ret, b5.q); + } + } else { + // no fraction + ret = mhchemParser.go(buffer.d, 'pu-2'); + } + + for (var p in buffer) { + delete buffer[p]; + } + + return ret; + } + } + }, + 'pu-2': { + transitions: mhchemParser.createTransitions({ + 'empty': { + '*': { + action_: 'output' + } + }, + '*': { + '*': { + action_: ['output', 'cdot'], + nextState: '0' + } + }, + '\\x': { + '*': { + action_: 'rm=' + } + }, + 'space': { + '*': { + action_: ['output', 'space'], + nextState: '0' + } + }, + '^{(...)}|^(-1)': { + '1': { + action_: '^(-1)' + } + }, + '-9.,9': { + '0': { + action_: 'rm=', + nextState: '0' + }, + '1': { + action_: '^(-1)', + nextState: '0' + } + }, + '{...}|else': { + '*': { + action_: 'rm=', + nextState: '1' + } + } + }), + actions: { + 'cdot': function cdot() { + return { + type_: 'tight cdot' + }; + }, + '^(-1)': function _(buffer, m) { + buffer.rm += "^{" + m + "}"; + }, + 'space': function space() { + return { + type_: 'pu-space-2' + }; + }, + 'output': function output(buffer) { + /** @type {ParserOutput | ParserOutput[]} */ + var ret = []; + + if (buffer.rm) { + var mrm = mhchemParser.patterns.match_('{(...)}', buffer.rm || ""); + + if (mrm && mrm.remainder === '') { + ret = mhchemParser.go(mrm.match_, 'pu'); + } else { + ret = { + type_: 'rm', + p1: buffer.rm + }; + } + } + + for (var p in buffer) { + delete buffer[p]; + } + + return ret; + } + } + }, + 'pu-9,9': { + transitions: mhchemParser.createTransitions({ + 'empty': { + '0': { + action_: 'output-0' + }, + 'o': { + action_: 'output-o' + } + }, + ',': { + '0': { + action_: ['output-0', 'comma'], + nextState: 'o' + } + }, + '.': { + '0': { + action_: ['output-0', 'copy'], + nextState: 'o' + } + }, + 'else': { + '*': { + action_: 'text=' + } + } + }), + actions: { + 'comma': function comma() { + return { + type_: 'commaDecimal' + }; + }, + 'output-0': function output0(buffer) { + /** @type {ParserOutput[]} */ + var ret = []; + buffer.text_ = buffer.text_ || ""; + + if (buffer.text_.length > 4) { + var a = buffer.text_.length % 3; + + if (a === 0) { + a = 3; + } + + for (var i = buffer.text_.length - 3; i > 0; i -= 3) { + ret.push(buffer.text_.substr(i, 3)); + ret.push({ + type_: '1000 separator' + }); + } + + ret.push(buffer.text_.substr(0, a)); + ret.reverse(); + } else { + ret.push(buffer.text_); + } + + for (var p in buffer) { + delete buffer[p]; + } + + return ret; + }, + 'output-o': function outputO(buffer) { + /** @type {ParserOutput[]} */ + var ret = []; + buffer.text_ = buffer.text_ || ""; + + if (buffer.text_.length > 4) { + var a = buffer.text_.length - 3; + + for (var i = 0; i < a; i += 3) { + ret.push(buffer.text_.substr(i, 3)); + ret.push({ + type_: '1000 separator' + }); + } + + ret.push(buffer.text_.substr(i)); + } else { + ret.push(buffer.text_); + } + + for (var p in buffer) { + delete buffer[p]; + } + + return ret; + } + } + } //#endregion + +}; // +// texify: Take MhchemParser output and convert it to TeX +// + +/** @type {Texify} */ + +var texify = { + go: function go(input, isInner) { + // (recursive, max 4 levels) + if (!input) { + return ""; + } + + var res = ""; + var cee = false; + + for (var i = 0; i < input.length; i++) { + var inputi = input[i]; + + if (typeof inputi === "string") { + res += inputi; + } else { + res += texify._go2(inputi); + + if (inputi.type_ === '1st-level escape') { + cee = true; + } + } + } + + if (!isInner && !cee && res) { + res = "{" + res + "}"; + } + + return res; + }, + _goInner: function _goInner(input) { + if (!input) { + return input; + } + + return texify.go(input, true); + }, + _go2: function _go2(buf) { + /** @type {undefined | string} */ + var res; + + switch (buf.type_) { + case 'chemfive': + res = ""; + var b5 = { + a: texify._goInner(buf.a), + b: texify._goInner(buf.b), + p: texify._goInner(buf.p), + o: texify._goInner(buf.o), + q: texify._goInner(buf.q), + d: texify._goInner(buf.d) + }; // + // a + // + + if (b5.a) { + if (b5.a.match(/^[+\-]/)) { + b5.a = "{" + b5.a + "}"; + } + + res += b5.a + "\\,"; + } // + // b and p + // + + + if (b5.b || b5.p) { + res += "{\\vphantom{X}}"; + res += "^{\\hphantom{" + (b5.b || "") + "}}_{\\hphantom{" + (b5.p || "") + "}}"; + res += "{\\vphantom{X}}"; + res += "^{\\smash[t]{\\vphantom{2}}\\mathllap{" + (b5.b || "") + "}}"; + res += "_{\\vphantom{2}\\mathllap{\\smash[t]{" + (b5.p || "") + "}}}"; + } // + // o + // + + + if (b5.o) { + if (b5.o.match(/^[+\-]/)) { + b5.o = "{" + b5.o + "}"; + } + + res += b5.o; + } // + // q and d + // + + + if (buf.dType === 'kv') { + if (b5.d || b5.q) { + res += "{\\vphantom{X}}"; + } + + if (b5.d) { + res += "^{" + b5.d + "}"; + } + + if (b5.q) { + res += "_{\\smash[t]{" + b5.q + "}}"; + } + } else if (buf.dType === 'oxidation') { + if (b5.d) { + res += "{\\vphantom{X}}"; + res += "^{" + b5.d + "}"; + } + + if (b5.q) { + res += "{\\vphantom{X}}"; + res += "_{\\smash[t]{" + b5.q + "}}"; + } + } else { + if (b5.q) { + res += "{\\vphantom{X}}"; + res += "_{\\smash[t]{" + b5.q + "}}"; + } + + if (b5.d) { + res += "{\\vphantom{X}}"; + res += "^{" + b5.d + "}"; + } + } + + break; + + case 'rm': + res = "\\mathrm{" + buf.p1 + "}"; + break; + + case 'text': + if (buf.p1.match(/[\^_]/)) { + buf.p1 = buf.p1.replace(" ", "~").replace("-", "\\text{-}"); + res = "\\mathrm{" + buf.p1 + "}"; + } else { + res = "\\text{" + buf.p1 + "}"; + } + + break; + + case 'roman numeral': + res = "\\mathrm{" + buf.p1 + "}"; + break; + + case 'state of aggregation': + res = "\\mskip2mu " + texify._goInner(buf.p1); + break; + + case 'state of aggregation subscript': + res = "\\mskip1mu " + texify._goInner(buf.p1); + break; + + case 'bond': + res = texify._getBond(buf.kind_); + + if (!res) { + throw ["MhchemErrorBond", "mhchem Error. Unknown bond type (" + buf.kind_ + ")"]; + } + + break; + + case 'frac': + var c = "\\frac{" + buf.p1 + "}{" + buf.p2 + "}"; + res = "\\mathchoice{\\textstyle" + c + "}{" + c + "}{" + c + "}{" + c + "}"; + break; + + case 'pu-frac': + var d = "\\frac{" + texify._goInner(buf.p1) + "}{" + texify._goInner(buf.p2) + "}"; + res = "\\mathchoice{\\textstyle" + d + "}{" + d + "}{" + d + "}{" + d + "}"; + break; + + case 'tex-math': + res = buf.p1 + " "; + break; + + case 'frac-ce': + res = "\\frac{" + texify._goInner(buf.p1) + "}{" + texify._goInner(buf.p2) + "}"; + break; + + case 'overset': + res = "\\overset{" + texify._goInner(buf.p1) + "}{" + texify._goInner(buf.p2) + "}"; + break; + + case 'underset': + res = "\\underset{" + texify._goInner(buf.p1) + "}{" + texify._goInner(buf.p2) + "}"; + break; + + case 'underbrace': + res = "\\underbrace{" + texify._goInner(buf.p1) + "}_{" + texify._goInner(buf.p2) + "}"; + break; + + case 'color': + res = "{\\color{" + buf.color1 + "}{" + texify._goInner(buf.color2) + "}}"; + break; + + case 'color0': + res = "\\color{" + buf.color + "}"; + break; + + case 'arrow': + var b6 = { + rd: texify._goInner(buf.rd), + rq: texify._goInner(buf.rq) + }; + + var arrow = "\\x" + texify._getArrow(buf.r); + + if (b6.rq) { + arrow += "[{" + b6.rq + "}]"; + } + + if (b6.rd) { + arrow += "{" + b6.rd + "}"; + } else { + arrow += "{}"; + } + + res = arrow; + break; + + case 'operator': + res = texify._getOperator(buf.kind_); + break; + + case '1st-level escape': + res = buf.p1 + " "; // &, \\\\, \\hlin + + break; + + case 'space': + res = " "; + break; + + case 'entitySkip': + res = "~"; + break; + + case 'pu-space-1': + res = "~"; + break; + + case 'pu-space-2': + res = "\\mkern3mu "; + break; + + case '1000 separator': + res = "\\mkern2mu "; + break; + + case 'commaDecimal': + res = "{,}"; + break; + + case 'comma enumeration L': + res = "{" + buf.p1 + "}\\mkern6mu "; + break; + + case 'comma enumeration M': + res = "{" + buf.p1 + "}\\mkern3mu "; + break; + + case 'comma enumeration S': + res = "{" + buf.p1 + "}\\mkern1mu "; + break; + + case 'hyphen': + res = "\\text{-}"; + break; + + case 'addition compound': + res = "\\,{\\cdot}\\,"; + break; + + case 'electron dot': + res = "\\mkern1mu \\bullet\\mkern1mu "; + break; + + case 'KV x': + res = "{\\times}"; + break; + + case 'prime': + res = "\\prime "; + break; + + case 'cdot': + res = "\\cdot "; + break; + + case 'tight cdot': + res = "\\mkern1mu{\\cdot}\\mkern1mu "; + break; + + case 'times': + res = "\\times "; + break; + + case 'circa': + res = "{\\sim}"; + break; + + case '^': + res = "uparrow"; + break; + + case 'v': + res = "downarrow"; + break; + + case 'ellipsis': + res = "\\ldots "; + break; + + case '/': + res = "/"; + break; + + case ' / ': + res = "\\,/\\,"; + break; + + default: + assertNever(buf); + throw ["MhchemBugT", "mhchem bug T. Please report."]; + // Missing texify rule or unknown MhchemParser output + } + + assertString(res); + return res; + }, + _getArrow: function _getArrow(a) { + switch (a) { + case "->": + return "rightarrow"; + + case "\u2192": + return "rightarrow"; + + case "\u27F6": + return "rightarrow"; + + case "<-": + return "leftarrow"; + + case "<->": + return "leftrightarrow"; + + case "<-->": + return "rightleftarrows"; + + case "<=>": + return "rightleftharpoons"; + + case "\u21CC": + return "rightleftharpoons"; + + case "<=>>": + return "rightequilibrium"; + + case "<<=>": + return "leftequilibrium"; + + default: + assertNever(a); + throw ["MhchemBugT", "mhchem bug T. Please report."]; + } + }, + _getBond: function _getBond(a) { + switch (a) { + case "-": + return "{-}"; + + case "1": + return "{-}"; + + case "=": + return "{=}"; + + case "2": + return "{=}"; + + case "#": + return "{\\equiv}"; + + case "3": + return "{\\equiv}"; + + case "~": + return "{\\tripledash}"; + + case "~-": + return "{\\mathrlap{\\raisebox{-.1em}{$-$}}\\raisebox{.1em}{$\\tripledash$}}"; + + case "~=": + return "{\\mathrlap{\\raisebox{-.2em}{$-$}}\\mathrlap{\\raisebox{.2em}{$\\tripledash$}}-}"; + + case "~--": + return "{\\mathrlap{\\raisebox{-.2em}{$-$}}\\mathrlap{\\raisebox{.2em}{$\\tripledash$}}-}"; + + case "-~-": + return "{\\mathrlap{\\raisebox{-.2em}{$-$}}\\mathrlap{\\raisebox{.2em}{$-$}}\\tripledash}"; + + case "...": + return "{{\\cdot}{\\cdot}{\\cdot}}"; + + case "....": + return "{{\\cdot}{\\cdot}{\\cdot}{\\cdot}}"; + + case "->": + return "{\\rightarrow}"; + + case "<-": + return "{\\leftarrow}"; + + case "<": + return "{<}"; + + case ">": + return "{>}"; + + default: + assertNever(a); + throw ["MhchemBugT", "mhchem bug T. Please report."]; + } + }, + _getOperator: function _getOperator(a) { + switch (a) { + case "+": + return " {}+{} "; + + case "-": + return " {}-{} "; + + case "=": + return " {}={} "; + + case "<": + return " {}<{} "; + + case ">": + return " {}>{} "; + + case "<<": + return " {}\\ll{} "; + + case ">>": + return " {}\\gg{} "; + + case "\\pm": + return " {}\\pm{} "; + + case "\\approx": + return " {}\\approx{} "; + + case "$\\approx$": + return " {}\\approx{} "; + + case "v": + return " \\downarrow{} "; + + case "(v)": + return " \\downarrow{} "; + + case "^": + return " \\uparrow{} "; + + case "(^)": + return " \\uparrow{} "; + + default: + assertNever(a); + throw ["MhchemBugT", "mhchem bug T. 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All reaction arrows are rendered + * using KaTeX extensible arrows instead of building non-extensible arrows. + * 5. \tripledash vertical alignment is slightly adjusted. + * + * This code, as other KaTeX code, is released under the MIT license. + * + * /************************************************************* + * + * MathJax/extensions/TeX/mhchem.js + * + * Implements the \ce command for handling chemical formulas + * from the mhchem LaTeX package. + * + * --------------------------------------------------------------------- + * + * Copyright (c) 2011-2015 The MathJax Consortium + * Copyright (c) 2015-2018 Martin Hensel + * + * Licensed under the Apache License, Version 2.0 (the "License"); + * you may not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * http://www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an "AS IS" BASIS, + * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ +// +// Coding Style +// - use '' for identifiers that can by minified/uglified +// - use "" for strings that need to stay untouched +// version: "3.3.0" for MathJax and KaTeX +// Add \ce, \pu, and \tripledash to the KaTeX macros. +katex.__defineMacro("\\ce", function (context) { + return chemParse(context.consumeArgs(1)[0], "ce"); +}); + +katex.__defineMacro("\\pu", function (context) { + return chemParse(context.consumeArgs(1)[0], "pu"); +}); // Needed for \bond for the ~ forms +// Raise by 2.56mu, not 2mu. We're raising a hyphen-minus, U+002D, not +// a mathematical minus, U+2212. So we need that extra 0.56. + + +katex.__defineMacro("\\tripledash", "{\\vphantom{-}\\raisebox{2.56mu}{$\\mkern2mu" + "\\tiny\\text{-}\\mkern1mu\\text{-}\\mkern1mu\\text{-}\\mkern2mu$}}"); +// This is the main function for handing the \ce and \pu commands. +// It takes the argument to \ce or \pu and returns the corresponding TeX string. +// + +var chemParse = function chemParse(tokens, stateMachine) { + // Recreate the argument string from KaTeX's array of tokens. + var str = ""; + var expectedLoc = tokens.length && tokens[tokens.length - 1].loc.start; + + for (var i = tokens.length - 1; i >= 0; i--) { + if (tokens[i].loc.start > expectedLoc) { + // context.consumeArgs has eaten a space. + str += " "; + expectedLoc = tokens[i].loc.start; + } + + str += tokens[i].text; + expectedLoc += tokens[i].text.length; + } + + var tex = texify.go(mhchemParser.go(str, stateMachine)); + return tex; +}; // +// Core parser for mhchem syntax (recursive) +// + +/** @type {MhchemParser} */ + + +var mhchemParser = { + // + // Parses mchem \ce syntax + // + // Call like + // go("H2O"); + // + go: function go(input, stateMachine) { + if (!input) { + return []; + } + + if (stateMachine === undefined) { + stateMachine = 'ce'; + } + + var state = '0'; // + // String buffers for parsing: + // + // buffer.a == amount + // buffer.o == element + // buffer.b == left-side superscript + // buffer.p == left-side subscript + // buffer.q == right-side subscript + // buffer.d == right-side superscript + // + // buffer.r == arrow + // buffer.rdt == arrow, script above, type + // buffer.rd == arrow, script above, content + // buffer.rqt == arrow, script below, type + // buffer.rq == arrow, script below, content + // + // buffer.text_ + // buffer.rm + // etc. + // + // buffer.parenthesisLevel == int, starting at 0 + // buffer.sb == bool, space before + // buffer.beginsWithBond == bool + // + // These letters are also used as state names. + // + // Other states: + // 0 == begin of main part (arrow/operator unlikely) + // 1 == next entity + // 2 == next entity (arrow/operator unlikely) + // 3 == next atom + // c == macro + // + + /** @type {Buffer} */ + + var buffer = {}; + buffer['parenthesisLevel'] = 0; + input = input.replace(/\n/g, " "); + input = input.replace(/[\u2212\u2013\u2014\u2010]/g, "-"); + input = input.replace(/[\u2026]/g, "..."); // + // Looks through mhchemParser.transitions, to execute a matching action + // (recursive) + // + + var lastInput; + var watchdog = 10; + /** @type {ParserOutput[]} */ + + var output = []; + + while (true) { + if (lastInput !== input) { + watchdog = 10; + lastInput = input; + } else { + watchdog--; + } // + // Find actions in transition table + // + + + var machine = mhchemParser.stateMachines[stateMachine]; + var t = machine.transitions[state] || machine.transitions['*']; + + iterateTransitions: for (var i = 0; i < t.length; i++) { + var matches = mhchemParser.patterns.match_(t[i].pattern, input); + + if (matches) { + // + // Execute actions + // + var task = t[i].task; + + for (var iA = 0; iA < task.action_.length; iA++) { + var o; // + // Find and execute action + // + + if (machine.actions[task.action_[iA].type_]) { + o = machine.actions[task.action_[iA].type_](buffer, matches.match_, task.action_[iA].option); + } else if (mhchemParser.actions[task.action_[iA].type_]) { + o = mhchemParser.actions[task.action_[iA].type_](buffer, matches.match_, task.action_[iA].option); + } else { + throw ["MhchemBugA", "mhchem bug A. Please report. (" + task.action_[iA].type_ + ")"]; // Trying to use non-existing action + } // + // Add output + // + + + mhchemParser.concatArray(output, o); + } // + // Set next state, + // Shorten input, + // Continue with next character + // (= apply only one transition per position) + // + + + state = task.nextState || state; + + if (input.length > 0) { + if (!task.revisit) { + input = matches.remainder; + } + + if (!task.toContinue) { + break iterateTransitions; + } + } else { + return output; + } + } + } // + // Prevent infinite loop + // + + + if (watchdog <= 0) { + throw ["MhchemBugU", "mhchem bug U. Please report."]; // Unexpected character + } + } + }, + concatArray: function concatArray(a, b) { + if (b) { + if (Array.isArray(b)) { + for (var iB = 0; iB < b.length; iB++) { + a.push(b[iB]); + } + } else { + a.push(b); + } + } + }, + patterns: { + // + // Matching patterns + // either regexps or function that return null or {match_:"a", remainder:"bc"} + // + patterns: { + // property names must not look like integers ("2") for correct property traversal order, later on + 'empty': /^$/, + 'else': /^./, + 'else2': /^./, + 'space': /^\s/, + 'space A': /^\s(?=[A-Z\\$])/, + 'space$': /^\s$/, + 'a-z': /^[a-z]/, + 'x': /^x/, + 'x$': /^x$/, + 'i$': /^i$/, + 'letters': /^(?:[a-zA-Z\u03B1-\u03C9\u0391-\u03A9?@]|(?:\\(?:alpha|beta|gamma|delta|epsilon|zeta|eta|theta|iota|kappa|lambda|mu|nu|xi|omicron|pi|rho|sigma|tau|upsilon|phi|chi|psi|omega|Gamma|Delta|Theta|Lambda|Xi|Pi|Sigma|Upsilon|Phi|Psi|Omega)(?:\s+|\{\}|(?![a-zA-Z]))))+/, + '\\greek': /^\\(?:alpha|beta|gamma|delta|epsilon|zeta|eta|theta|iota|kappa|lambda|mu|nu|xi|omicron|pi|rho|sigma|tau|upsilon|phi|chi|psi|omega|Gamma|Delta|Theta|Lambda|Xi|Pi|Sigma|Upsilon|Phi|Psi|Omega)(?:\s+|\{\}|(?![a-zA-Z]))/, + 'one lowercase latin letter $': /^(?:([a-z])(?:$|[^a-zA-Z]))$/, + '$one lowercase latin letter$ $': /^\$(?:([a-z])(?:$|[^a-zA-Z]))\$$/, + 'one lowercase greek letter $': /^(?:\$?[\u03B1-\u03C9]\$?|\$?\\(?:alpha|beta|gamma|delta|epsilon|zeta|eta|theta|iota|kappa|lambda|mu|nu|xi|omicron|pi|rho|sigma|tau|upsilon|phi|chi|psi|omega)\s*\$?)(?:\s+|\{\}|(?![a-zA-Z]))$/, + 'digits': /^[0-9]+/, + '-9.,9': /^[+\-]?(?:[0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+))/, + '-9.,9 no missing 0': /^[+\-]?[0-9]+(?:[.,][0-9]+)?/, + '(-)(9.,9)(e)(99)': function e99(input) { + var m = input.match(/^(\+\-|\+\/\-|\+|\-|\\pm\s?)?([0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+))?(\((?:[0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+))\))?(?:([eE]|\s*(\*|x|\\times|\u00D7)\s*10\^)([+\-]?[0-9]+|\{[+\-]?[0-9]+\}))?/); + + if (m && m[0]) { + return { + match_: m.splice(1), + remainder: input.substr(m[0].length) + }; + } + + return null; + }, + '(-)(9)^(-9)': function _(input) { + var m = input.match(/^(\+\-|\+\/\-|\+|\-|\\pm\s?)?([0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+)?)\^([+\-]?[0-9]+|\{[+\-]?[0-9]+\})/); + + if (m && m[0]) { + return { + match_: m.splice(1), + remainder: input.substr(m[0].length) + }; + } + + return null; + }, + 'state of aggregation $': function stateOfAggregation$(input) { + // ... or crystal system + var a = mhchemParser.patterns.findObserveGroups(input, "", /^\([a-z]{1,3}(?=[\),])/, ")", ""); // (aq), (aq,$\infty$), (aq, sat) + + if (a && a.remainder.match(/^($|[\s,;\)\]\}])/)) { + return a; + } // AND end of 'phrase' + + + var m = input.match(/^(?:\((?:\\ca\s?)?\$[amothc]\$\))/); // OR crystal system ($o$) (\ca$c$) + + if (m) { + return { + match_: m[0], + remainder: input.substr(m[0].length) + }; + } + + return null; + }, + '_{(state of aggregation)}$': /^_\{(\([a-z]{1,3}\))\}/, + '{[(': /^(?:\\\{|\[|\()/, + ')]}': /^(?:\)|\]|\\\})/, + ', ': /^[,;]\s*/, + ',': /^[,;]/, + '.': /^[.]/, + '. ': /^([.\u22C5\u00B7\u2022])\s*/, + '...': /^\.\.\.(?=$|[^.])/, + '* ': /^([*])\s*/, + '^{(...)}': function _(input) { + return mhchemParser.patterns.findObserveGroups(input, "^{", "", "", "}"); + }, + '^($...$)': function $$(input) { + return mhchemParser.patterns.findObserveGroups(input, "^", "$", "$", ""); + }, + '^a': /^\^([0-9]+|[^\\_])/, + '^\\x{}{}': function x(input) { + return mhchemParser.patterns.findObserveGroups(input, "^", /^\\[a-zA-Z]+\{/, "}", "", "", "{", "}", "", true); + }, + '^\\x{}': function x(input) { + return mhchemParser.patterns.findObserveGroups(input, "^", /^\\[a-zA-Z]+\{/, "}", ""); + }, + '^\\x': /^\^(\\[a-zA-Z]+)\s*/, + '^(-1)': /^\^(-?\d+)/, + '\'': /^'/, + '_{(...)}': function _(input) { + return mhchemParser.patterns.findObserveGroups(input, "_{", "", "", "}"); + }, + '_($...$)': function _$$(input) { + return mhchemParser.patterns.findObserveGroups(input, "_", "$", "$", ""); + }, + '_9': /^_([+\-]?[0-9]+|[^\\])/, + '_\\x{}{}': function _X(input) { + return mhchemParser.patterns.findObserveGroups(input, "_", /^\\[a-zA-Z]+\{/, "}", "", "", "{", "}", "", true); + }, + '_\\x{}': function _X(input) { + return mhchemParser.patterns.findObserveGroups(input, "_", /^\\[a-zA-Z]+\{/, "}", ""); + }, + '_\\x': /^_(\\[a-zA-Z]+)\s*/, + '^_': /^(?:\^(?=_)|\_(?=\^)|[\^_]$)/, + '{}': /^\{\}/, + '{...}': function _(input) { + return mhchemParser.patterns.findObserveGroups(input, "", "{", "}", ""); + }, + '{(...)}': function _(input) { + return mhchemParser.patterns.findObserveGroups(input, "{", "", "", "}"); + }, + '$...$': function $$(input) { + return mhchemParser.patterns.findObserveGroups(input, "", "$", "$", ""); + }, + '${(...)}$': function $$(input) { + return mhchemParser.patterns.findObserveGroups(input, "${", "", "", "}$"); + }, + '$(...)$': function $$(input) { + return mhchemParser.patterns.findObserveGroups(input, "$", "", "", "$"); + }, + '=<>': /^[=<>]/, + '#': /^[#\u2261]/, + '+': /^\+/, + '-$': /^-(?=[\s_},;\]/]|$|\([a-z]+\))/, + // -space -, -; -] -/ -$ -state-of-aggregation + '-9': /^-(?=[0-9])/, + '- orbital overlap': /^-(?=(?:[spd]|sp)(?:$|[\s,;\)\]\}]))/, + '-': /^-/, + 'pm-operator': /^(?:\\pm|\$\\pm\$|\+-|\+\/-)/, + 'operator': /^(?:\+|(?:[\-=<>]|<<|>>|\\approx|\$\\approx\$)(?=\s|$|-?[0-9]))/, + 'arrowUpDown': /^(?:v|\(v\)|\^|\(\^\))(?=$|[\s,;\)\]\}])/, + '\\bond{(...)}': function bond(input) { + return mhchemParser.patterns.findObserveGroups(input, "\\bond{", "", "", "}"); + }, + '->': /^(?:<->|<-->|->|<-|<=>>|<<=>|<=>|[\u2192\u27F6\u21CC])/, + 'CMT': /^[CMT](?=\[)/, + '[(...)]': function _(input) { + return mhchemParser.patterns.findObserveGroups(input, "[", "", "", "]"); + }, + '1st-level escape': /^(&|\\\\|\\hline)\s*/, + '\\,': /^(?:\\[,\ ;:])/, + // \\x - but output no space before + '\\x{}{}': function x(input) { + return mhchemParser.patterns.findObserveGroups(input, "", /^\\[a-zA-Z]+\{/, "}", "", "", "{", "}", "", true); + }, + '\\x{}': function x(input) { + return mhchemParser.patterns.findObserveGroups(input, "", /^\\[a-zA-Z]+\{/, "}", ""); + }, + '\\ca': /^\\ca(?:\s+|(?![a-zA-Z]))/, + '\\x': /^(?:\\[a-zA-Z]+\s*|\\[_&{}%])/, + 'orbital': /^(?:[0-9]{1,2}[spdfgh]|[0-9]{0,2}sp)(?=$|[^a-zA-Z])/, + // only those with numbers in front, because the others will be formatted correctly anyway + 'others': /^[\/~|]/, + '\\frac{(...)}': function frac(input) { + return mhchemParser.patterns.findObserveGroups(input, "\\frac{", "", "", "}", "{", "", "", "}"); + }, + '\\overset{(...)}': function overset(input) { + return mhchemParser.patterns.findObserveGroups(input, "\\overset{", "", "", "}", "{", "", "", "}"); + }, + '\\underset{(...)}': function underset(input) { + return mhchemParser.patterns.findObserveGroups(input, "\\underset{", "", "", "}", "{", "", "", "}"); + }, + '\\underbrace{(...)}': function underbrace(input) { + return mhchemParser.patterns.findObserveGroups(input, "\\underbrace{", "", "", "}_", "{", "", "", "}"); + }, + '\\color{(...)}0': function color0(input) { + return mhchemParser.patterns.findObserveGroups(input, "\\color{", "", "", "}"); + }, + '\\color{(...)}{(...)}1': function color1(input) { + return mhchemParser.patterns.findObserveGroups(input, "\\color{", "", "", "}", "{", "", "", "}"); + }, + '\\color(...){(...)}2': function color2(input) { + return mhchemParser.patterns.findObserveGroups(input, "\\color", "\\", "", /^(?=\{)/, "{", "", "", "}"); + }, + '\\ce{(...)}': function ce(input) { + return mhchemParser.patterns.findObserveGroups(input, "\\ce{", "", "", "}"); + }, + 'oxidation$': /^(?:[+-][IVX]+|\\pm\s*0|\$\\pm\$\s*0)$/, + 'd-oxidation$': /^(?:[+-]?\s?[IVX]+|\\pm\s*0|\$\\pm\$\s*0)$/, + // 0 could be oxidation or charge + 'roman numeral': /^[IVX]+/, + '1/2$': /^[+\-]?(?:[0-9]+|\$[a-z]\$|[a-z])\/[0-9]+(?:\$[a-z]\$|[a-z])?$/, + 'amount': function amount(input) { + var match; // e.g. 2, 0.5, 1/2, -2, n/2, +; $a$ could be added later in parsing + + match = input.match(/^(?:(?:(?:\([+\-]?[0-9]+\/[0-9]+\)|[+\-]?(?:[0-9]+|\$[a-z]\$|[a-z])\/[0-9]+|[+\-]?[0-9]+[.,][0-9]+|[+\-]?\.[0-9]+|[+\-]?[0-9]+)(?:[a-z](?=\s*[A-Z]))?)|[+\-]?[a-z](?=\s*[A-Z])|\+(?!\s))/); + + if (match) { + return { + match_: match[0], + remainder: input.substr(match[0].length) + }; + } + + var a = mhchemParser.patterns.findObserveGroups(input, "", "$", "$", ""); + + if (a) { + // e.g. $2n-1$, $-$ + match = a.match_.match(/^\$(?:\(?[+\-]?(?:[0-9]*[a-z]?[+\-])?[0-9]*[a-z](?:[+\-][0-9]*[a-z]?)?\)?|\+|-)\$$/); + + if (match) { + return { + match_: match[0], + remainder: input.substr(match[0].length) + }; + } + } + + return null; + }, + 'amount2': function amount2(input) { + return this['amount'](input); + }, + '(KV letters),': /^(?:[A-Z][a-z]{0,2}|i)(?=,)/, + 'formula$': function formula$(input) { + if (input.match(/^\([a-z]+\)$/)) { + return null; + } // state of aggregation = no formula + + + var match = input.match(/^(?:[a-z]|(?:[0-9\ \+\-\,\.\(\)]+[a-z])+[0-9\ \+\-\,\.\(\)]*|(?:[a-z][0-9\ \+\-\,\.\(\)]+)+[a-z]?)$/); + + if (match) { + return { + match_: match[0], + remainder: input.substr(match[0].length) + }; + } + + return null; + }, + 'uprightEntities': /^(?:pH|pOH|pC|pK|iPr|iBu)(?=$|[^a-zA-Z])/, + '/': /^\s*(\/)\s*/, + '//': /^\s*(\/\/)\s*/, + '*': /^\s*[*.]\s*/ + }, + findObserveGroups: function findObserveGroups(input, begExcl, begIncl, endIncl, endExcl, beg2Excl, beg2Incl, end2Incl, end2Excl, combine) { + /** @type {{(input: string, pattern: string | RegExp): string | string[] | null;}} */ + var _match = function _match(input, pattern) { + if (typeof pattern === "string") { + if (input.indexOf(pattern) !== 0) { + return null; + } + + return pattern; + } else { + var match = input.match(pattern); + + if (!match) { + return null; + } + + return match[0]; + } + }; + /** @type {{(input: string, i: number, endChars: string | RegExp): {endMatchBegin: number, endMatchEnd: number} | null;}} */ + + + var _findObserveGroups = function _findObserveGroups(input, i, endChars) { + var braces = 0; + + while (i < input.length) { + var a = input.charAt(i); + + var match = _match(input.substr(i), endChars); + + if (match !== null && braces === 0) { + return { + endMatchBegin: i, + endMatchEnd: i + match.length + }; + } else if (a === "{") { + braces++; + } else if (a === "}") { + if (braces === 0) { + throw ["ExtraCloseMissingOpen", "Extra close brace or missing open brace"]; + } else { + braces--; + } + } + + i++; + } + + if (braces > 0) { + return null; + } + + return null; + }; + + var match = _match(input, begExcl); + + if (match === null) { + return null; + } + + input = input.substr(match.length); + match = _match(input, begIncl); + + if (match === null) { + return null; + } + + var e = _findObserveGroups(input, match.length, endIncl || endExcl); + + if (e === null) { + return null; + } + + var match1 = input.substring(0, endIncl ? e.endMatchEnd : e.endMatchBegin); + + if (!(beg2Excl || beg2Incl)) { + return { + match_: match1, + remainder: input.substr(e.endMatchEnd) + }; + } else { + var group2 = this.findObserveGroups(input.substr(e.endMatchEnd), beg2Excl, beg2Incl, end2Incl, end2Excl); + + if (group2 === null) { + return null; + } + /** @type {string[]} */ + + + var matchRet = [match1, group2.match_]; + return { + match_: combine ? matchRet.join("") : matchRet, + remainder: group2.remainder + }; + } + }, + // + // Matching function + // e.g. match("a", input) will look for the regexp called "a" and see if it matches + // returns null or {match_:"a", remainder:"bc"} + // + match_: function match_(m, input) { + var pattern = mhchemParser.patterns.patterns[m]; + + if (pattern === undefined) { + throw ["MhchemBugP", "mhchem bug P. Please report. (" + m + ")"]; // Trying to use non-existing pattern + } else if (typeof pattern === "function") { + return mhchemParser.patterns.patterns[m](input); // cannot use cached var pattern here, because some pattern functions need this===mhchemParser + } else { + // RegExp + var match = input.match(pattern); + + if (match) { + var mm; + + if (match[2]) { + mm = [match[1], match[2]]; + } else if (match[1]) { + mm = match[1]; + } else { + mm = match[0]; + } + + return { + match_: mm, + remainder: input.substr(match[0].length) + }; + } + + return null; + } + } + }, + // + // Generic state machine actions + // + actions: { + 'a=': function a(buffer, m) { + buffer.a = (buffer.a || "") + m; + }, + 'b=': function b(buffer, m) { + buffer.b = (buffer.b || "") + m; + }, + 'p=': function p(buffer, m) { + buffer.p = (buffer.p || "") + m; + }, + 'o=': function o(buffer, m) { + buffer.o = (buffer.o || "") + m; + }, + 'q=': function q(buffer, m) { + buffer.q = (buffer.q || "") + m; + }, + 'd=': function d(buffer, m) { + buffer.d = (buffer.d || "") + m; + }, + 'rm=': function rm(buffer, m) { + buffer.rm = (buffer.rm || "") + m; + }, + 'text=': function text(buffer, m) { + buffer.text_ = (buffer.text_ || "") + m; + }, + 'insert': function insert(buffer, m, a) { + return { + type_: a + }; + }, + 'insert+p1': function insertP1(buffer, m, a) { + return { + type_: a, + p1: m + }; + }, + 'insert+p1+p2': function insertP1P2(buffer, m, a) { + return { + type_: a, + p1: m[0], + p2: m[1] + }; + }, + 'copy': function copy(buffer, m) { + return m; + }, + 'rm': function rm(buffer, m) { + return { + type_: 'rm', + p1: m || "" + }; + }, + 'text': function text(buffer, m) { + return mhchemParser.go(m, 'text'); + }, + '{text}': function text(buffer, m) { + var ret = ["{"]; + mhchemParser.concatArray(ret, mhchemParser.go(m, 'text')); + ret.push("}"); + return ret; + }, + 'tex-math': function texMath(buffer, m) { + return mhchemParser.go(m, 'tex-math'); + }, + 'tex-math tight': function texMathTight(buffer, m) { + return mhchemParser.go(m, 'tex-math tight'); + }, + 'bond': function bond(buffer, m, k) { + return { + type_: 'bond', + kind_: k || m + }; + }, + 'color0-output': function color0Output(buffer, m) { + return { + type_: 'color0', + color: m[0] + }; + }, + 'ce': function ce(buffer, m) { + return mhchemParser.go(m); + }, + '1/2': function _(buffer, m) { + /** @type {ParserOutput[]} */ + var ret = []; + + if (m.match(/^[+\-]/)) { + ret.push(m.substr(0, 1)); + m = m.substr(1); + } + + var n = m.match(/^([0-9]+|\$[a-z]\$|[a-z])\/([0-9]+)(\$[a-z]\$|[a-z])?$/); + n[1] = n[1].replace(/\$/g, ""); + ret.push({ + type_: 'frac', + p1: n[1], + p2: n[2] + }); + + if (n[3]) { + n[3] = n[3].replace(/\$/g, ""); + ret.push({ + type_: 'tex-math', + p1: n[3] + }); + } + + return ret; + }, + '9,9': function _(buffer, m) { + return mhchemParser.go(m, '9,9'); + } + }, + // + // createTransitions + // convert { 'letter': { 'state': { action_: 'output' } } } to { 'state' => [ { pattern: 'letter', task: { action_: [{type_: 'output'}] } } ] } + // with expansion of 'a|b' to 'a' and 'b' (at 2 places) + // + createTransitions: function createTransitions(o) { + var pattern, state; + /** @type {string[]} */ + + var stateArray; + var i; // + // 1. Collect all states + // + + /** @type {Transitions} */ + + var transitions = {}; + + for (pattern in o) { + for (state in o[pattern]) { + stateArray = state.split("|"); + o[pattern][state].stateArray = stateArray; + + for (i = 0; i < stateArray.length; i++) { + transitions[stateArray[i]] = []; + } + } + } // + // 2. Fill states + // + + + for (pattern in o) { + for (state in o[pattern]) { + stateArray = o[pattern][state].stateArray || []; + + for (i = 0; i < stateArray.length; i++) { + // + // 2a. Normalize actions into array: 'text=' ==> [{type_:'text='}] + // (Note to myself: Resolving the function here would be problematic. It would need .bind (for *this*) and currying (for *option*).) + // + + /** @type {any} */ + var p = o[pattern][state]; + + if (p.action_) { + p.action_ = [].concat(p.action_); + + for (var k = 0; k < p.action_.length; k++) { + if (typeof p.action_[k] === "string") { + p.action_[k] = { + type_: p.action_[k] + }; + } + } + } else { + p.action_ = []; + } // + // 2.b Multi-insert + // + + + var patternArray = pattern.split("|"); + + for (var j = 0; j < patternArray.length; j++) { + if (stateArray[i] === '*') { + // insert into all + for (var t in transitions) { + transitions[t].push({ + pattern: patternArray[j], + task: p + }); + } + } else { + transitions[stateArray[i]].push({ + pattern: patternArray[j], + task: p + }); + } + } + } + } + } + + return transitions; + }, + stateMachines: {} +}; // +// Definition of state machines +// + +mhchemParser.stateMachines = { + // + // \ce state machines + // + //#region ce + 'ce': { + // main parser + transitions: mhchemParser.createTransitions({ + 'empty': { + '*': { + action_: 'output' + } + }, + 'else': { + '0|1|2': { + action_: 'beginsWithBond=false', + revisit: true, + toContinue: true + } + }, + 'oxidation$': { + '0': { + action_: 'oxidation-output' + } + }, + 'CMT': { + 'r': { + action_: 'rdt=', + nextState: 'rt' + }, + 'rd': { + action_: 'rqt=', + nextState: 'rdt' + } + }, + 'arrowUpDown': { + '0|1|2|as': { + action_: ['sb=false', 'output', 'operator'], + nextState: '1' + } + }, + 'uprightEntities': { + '0|1|2': { + action_: ['o=', 'output'], + nextState: '1' + } + }, + 'orbital': { + '0|1|2|3': { + action_: 'o=', + nextState: 'o' + } + }, + '->': { + '0|1|2|3': { + action_: 'r=', + nextState: 'r' + }, + 'a|as': { + action_: ['output', 'r='], + nextState: 'r' + }, + '*': { + action_: ['output', 'r='], + nextState: 'r' + } + }, + '+': { + 'o': { + action_: 'd= kv', + nextState: 'd' + }, + 'd|D': { + action_: 'd=', + nextState: 'd' + }, + 'q': { + action_: 'd=', + nextState: 'qd' + }, + 'qd|qD': { + action_: 'd=', + nextState: 'qd' + }, + 'dq': { + action_: ['output', 'd='], + nextState: 'd' + }, + '3': { + action_: ['sb=false', 'output', 'operator'], + nextState: '0' + } + }, + 'amount': { + '0|2': { + action_: 'a=', + nextState: 'a' + } + }, + 'pm-operator': { + '0|1|2|a|as': { + action_: ['sb=false', 'output', { + type_: 'operator', + option: '\\pm' + }], + nextState: '0' + } + }, + 'operator': { + '0|1|2|a|as': { + action_: ['sb=false', 'output', 'operator'], + nextState: '0' + } + }, + '-$': { + 'o|q': { + action_: ['charge or bond', 'output'], + nextState: 'qd' + }, + 'd': { + action_: 'd=', + nextState: 'd' + }, + 'D': { + action_: ['output', { + type_: 'bond', + option: "-" + }], + nextState: '3' + }, + 'q': { + action_: 'd=', + nextState: 'qd' + }, + 'qd': { + action_: 'd=', + nextState: 'qd' + }, + 'qD|dq': { + action_: ['output', { + type_: 'bond', + option: "-" + }], + nextState: '3' + } + }, + '-9': { + '3|o': { + action_: ['output', { + type_: 'insert', + option: 'hyphen' + }], + nextState: '3' + } + }, + '- orbital overlap': { + 'o': { + action_: ['output', { + type_: 'insert', + option: 'hyphen' + }], + nextState: '2' + }, + 'd': { + action_: ['output', { + type_: 'insert', + option: 'hyphen' + }], + nextState: '2' + } + }, + '-': { + '0|1|2': { + action_: [{ + type_: 'output', + option: 1 + }, 'beginsWithBond=true', { + type_: 'bond', + option: "-" + }], + nextState: '3' + }, + '3': { + action_: { + type_: 'bond', + option: "-" + } + }, + 'a': { + action_: ['output', { + type_: 'insert', + option: 'hyphen' + }], + nextState: '2' + }, + 'as': { + action_: [{ + type_: 'output', + option: 2 + }, { + type_: 'bond', + option: "-" + }], + nextState: '3' + }, + 'b': { + action_: 'b=' + }, + 'o': { + action_: { + type_: '- after o/d', + option: false + }, + nextState: '2' + }, + 'q': { + action_: { + type_: '- after o/d', + option: false + }, + nextState: '2' + }, + 'd|qd|dq': { + action_: { + type_: '- after o/d', + option: true + }, + nextState: '2' + }, + 'D|qD|p': { + action_: ['output', { + type_: 'bond', + option: "-" + }], + nextState: '3' + } + }, + 'amount2': { + '1|3': { + action_: 'a=', + nextState: 'a' + } + }, + 'letters': { + '0|1|2|3|a|as|b|p|bp|o': { + action_: 'o=', + nextState: 'o' + }, + 'q|dq': { + action_: ['output', 'o='], + nextState: 'o' + }, + 'd|D|qd|qD': { + action_: 'o after d', + nextState: 'o' + } + }, + 'digits': { + 'o': { + action_: 'q=', + nextState: 'q' + }, + 'd|D': { + action_: 'q=', + nextState: 'dq' + }, + 'q': { + action_: ['output', 'o='], + nextState: 'o' + }, + 'a': { + action_: 'o=', + nextState: 'o' + } + }, + 'space A': { + 'b|p|bp': {} + }, + 'space': { + 'a': { + nextState: 'as' + }, + '0': { + action_: 'sb=false' + }, + '1|2': { + action_: 'sb=true' + }, + 'r|rt|rd|rdt|rdq': { + action_: 'output', + nextState: '0' + }, + '*': { + action_: ['output', 'sb=true'], + nextState: '1' + } + }, + '1st-level escape': { + '1|2': { + action_: ['output', { + type_: 'insert+p1', + option: '1st-level escape' + }] + }, + '*': { + action_: ['output', { + type_: 'insert+p1', + option: '1st-level escape' + }], + nextState: '0' + } + }, + '[(...)]': { + 'r|rt': { + action_: 'rd=', + nextState: 'rd' + }, + 'rd|rdt': { + action_: 'rq=', + nextState: 'rdq' + } + }, + '...': { + 'o|d|D|dq|qd|qD': { + action_: ['output', { + type_: 'bond', + option: "..." + }], + nextState: '3' + }, + '*': { + action_: [{ + type_: 'output', + option: 1 + }, { + type_: 'insert', + option: 'ellipsis' + }], + nextState: '1' + } + }, + '. |* ': { + '*': { + action_: ['output', { + type_: 'insert', + option: 'addition compound' + }], + nextState: '1' + } + }, + 'state of aggregation $': { + '*': { + action_: ['output', 'state of aggregation'], + nextState: '1' + } + }, + '{[(': { + 'a|as|o': { + action_: ['o=', 'output', 'parenthesisLevel++'], + nextState: '2' + }, + '0|1|2|3': { + action_: ['o=', 'output', 'parenthesisLevel++'], + nextState: '2' + }, + '*': { + action_: ['output', 'o=', 'output', 'parenthesisLevel++'], + nextState: '2' + } + }, + ')]}': { + '0|1|2|3|b|p|bp|o': { + action_: ['o=', 'parenthesisLevel--'], + nextState: 'o' + }, + 'a|as|d|D|q|qd|qD|dq': { + action_: ['output', 'o=', 'parenthesisLevel--'], + nextState: 'o' + } + }, + ', ': { + '*': { + action_: ['output', 'comma'], + nextState: '0' + } + }, + '^_': { + // ^ and _ without a sensible argument + '*': {} + }, + '^{(...)}|^($...$)': { + '0|1|2|as': { + action_: 'b=', + nextState: 'b' + }, + 'p': { + action_: 'b=', + nextState: 'bp' + }, + '3|o': { + action_: 'd= kv', + nextState: 'D' + }, + 'q': { + action_: 'd=', + nextState: 'qD' + }, + 'd|D|qd|qD|dq': { + action_: ['output', 'd='], + nextState: 'D' + } + }, + '^a|^\\x{}{}|^\\x{}|^\\x|\'': { + '0|1|2|as': { + action_: 'b=', + nextState: 'b' + }, + 'p': { + action_: 'b=', + nextState: 'bp' + }, + '3|o': { + action_: 'd= kv', + nextState: 'd' + }, + 'q': { + action_: 'd=', + nextState: 'qd' + }, + 'd|qd|D|qD': { + action_: 'd=' + }, + 'dq': { + action_: ['output', 'd='], + nextState: 'd' + } + }, + '_{(state of aggregation)}$': { + 'd|D|q|qd|qD|dq': { + action_: ['output', 'q='], + nextState: 'q' + } + }, + '_{(...)}|_($...$)|_9|_\\x{}{}|_\\x{}|_\\x': { + '0|1|2|as': { + action_: 'p=', + nextState: 'p' + }, + 'b': { + action_: 'p=', + nextState: 'bp' + }, + '3|o': { + action_: 'q=', + nextState: 'q' + }, + 'd|D': { + action_: 'q=', + nextState: 'dq' + }, + 'q|qd|qD|dq': { + action_: ['output', 'q='], + nextState: 'q' + } + }, + '=<>': { + '0|1|2|3|a|as|o|q|d|D|qd|qD|dq': { + action_: [{ + type_: 'output', + option: 2 + }, 'bond'], + nextState: '3' + } + }, + '#': { + '0|1|2|3|a|as|o': { + action_: [{ + type_: 'output', + option: 2 + }, { + type_: 'bond', + option: "#" + }], + nextState: '3' + } + }, + '{}': { + '*': { + action_: { + type_: 'output', + option: 1 + }, + nextState: '1' + } + }, + '{...}': { + '0|1|2|3|a|as|b|p|bp': { + action_: 'o=', + nextState: 'o' + }, + 'o|d|D|q|qd|qD|dq': { + action_: ['output', 'o='], + nextState: 'o' + } + }, + '$...$': { + 'a': { + action_: 'a=' + }, + // 2$n$ + '0|1|2|3|as|b|p|bp|o': { + action_: 'o=', + nextState: 'o' + }, + // not 'amount' + 'as|o': { + action_: 'o=' + }, + 'q|d|D|qd|qD|dq': { + action_: ['output', 'o='], + nextState: 'o' + } + }, + '\\bond{(...)}': { + '*': { + action_: [{ + type_: 'output', + option: 2 + }, 'bond'], + nextState: "3" + } + }, + '\\frac{(...)}': { + '*': { + action_: [{ + type_: 'output', + option: 1 + }, 'frac-output'], + nextState: '3' + } + }, + '\\overset{(...)}': { + '*': { + action_: [{ + type_: 'output', + option: 2 + }, 'overset-output'], + nextState: '3' + } + }, + '\\underset{(...)}': { + '*': { + action_: [{ + type_: 'output', + option: 2 + }, 'underset-output'], + nextState: '3' + } + }, + '\\underbrace{(...)}': { + '*': { + action_: [{ + type_: 'output', + option: 2 + }, 'underbrace-output'], + nextState: '3' + } + }, + '\\color{(...)}{(...)}1|\\color(...){(...)}2': { + '*': { + action_: [{ + type_: 'output', + option: 2 + }, 'color-output'], + nextState: '3' + } + }, + '\\color{(...)}0': { + '*': { + action_: [{ + type_: 'output', + option: 2 + }, 'color0-output'] + } + }, + '\\ce{(...)}': { + '*': { + action_: [{ + type_: 'output', + option: 2 + }, 'ce'], + nextState: '3' + } + }, + '\\,': { + '*': { + action_: [{ + type_: 'output', + option: 1 + }, 'copy'], + nextState: '1' + } + }, + '\\x{}{}|\\x{}|\\x': { + '0|1|2|3|a|as|b|p|bp|o|c0': { + action_: ['o=', 'output'], + nextState: '3' + }, + '*': { + action_: ['output', 'o=', 'output'], + nextState: '3' + } + }, + 'others': { + '*': { + action_: [{ + type_: 'output', + option: 1 + }, 'copy'], + nextState: '3' + } + }, + 'else2': { + 'a': { + action_: 'a to o', + nextState: 'o', + revisit: true + }, + 'as': { + action_: ['output', 'sb=true'], + nextState: '1', + revisit: true + }, + 'r|rt|rd|rdt|rdq': { + action_: ['output'], + nextState: '0', + revisit: true + }, + '*': { + action_: ['output', 'copy'], + nextState: '3' + } + } + }), + actions: { + 'o after d': function oAfterD(buffer, m) { + var ret; + + if ((buffer.d || "").match(/^[0-9]+$/)) { + var tmp = buffer.d; + buffer.d = undefined; + ret = this['output'](buffer); + buffer.b = tmp; + } else { + ret = this['output'](buffer); + } + + mhchemParser.actions['o='](buffer, m); + return ret; + }, + 'd= kv': function dKv(buffer, m) { + buffer.d = m; + buffer.dType = 'kv'; + }, + 'charge or bond': function chargeOrBond(buffer, m) { + if (buffer['beginsWithBond']) { + /** @type {ParserOutput[]} */ + var ret = []; + mhchemParser.concatArray(ret, this['output'](buffer)); + mhchemParser.concatArray(ret, mhchemParser.actions['bond'](buffer, m, "-")); + return ret; + } else { + buffer.d = m; + } + }, + '- after o/d': function afterOD(buffer, m, isAfterD) { + var c1 = mhchemParser.patterns.match_('orbital', buffer.o || ""); + var c2 = mhchemParser.patterns.match_('one lowercase greek letter $', buffer.o || ""); + var c3 = mhchemParser.patterns.match_('one lowercase latin letter $', buffer.o || ""); + var c4 = mhchemParser.patterns.match_('$one lowercase latin letter$ $', buffer.o || ""); + var hyphenFollows = m === "-" && (c1 && c1.remainder === "" || c2 || c3 || c4); + + if (hyphenFollows && !buffer.a && !buffer.b && !buffer.p && !buffer.d && !buffer.q && !c1 && c3) { + buffer.o = '$' + buffer.o + '$'; + } + /** @type {ParserOutput[]} */ + + + var ret = []; + + if (hyphenFollows) { + mhchemParser.concatArray(ret, this['output'](buffer)); + ret.push({ + type_: 'hyphen' + }); + } else { + c1 = mhchemParser.patterns.match_('digits', buffer.d || ""); + + if (isAfterD && c1 && c1.remainder === '') { + mhchemParser.concatArray(ret, mhchemParser.actions['d='](buffer, m)); + mhchemParser.concatArray(ret, this['output'](buffer)); + } else { + mhchemParser.concatArray(ret, this['output'](buffer)); + mhchemParser.concatArray(ret, mhchemParser.actions['bond'](buffer, m, "-")); + } + } + + return ret; + }, + 'a to o': function aToO(buffer) { + buffer.o = buffer.a; + buffer.a = undefined; + }, + 'sb=true': function sbTrue(buffer) { + buffer.sb = true; + }, + 'sb=false': function sbFalse(buffer) { + buffer.sb = false; + }, + 'beginsWithBond=true': function beginsWithBondTrue(buffer) { + buffer['beginsWithBond'] = true; + }, + 'beginsWithBond=false': function beginsWithBondFalse(buffer) { + buffer['beginsWithBond'] = false; + }, + 'parenthesisLevel++': function parenthesisLevel(buffer) { + buffer['parenthesisLevel']++; + }, + 'parenthesisLevel--': function parenthesisLevel(buffer) { + buffer['parenthesisLevel']--; + }, + 'state of aggregation': function stateOfAggregation(buffer, m) { + return { + type_: 'state of aggregation', + p1: mhchemParser.go(m, 'o') + }; + }, + 'comma': function comma(buffer, m) { + var a = m.replace(/\s*$/, ''); + var withSpace = a !== m; + + if (withSpace && buffer['parenthesisLevel'] === 0) { + return { + type_: 'comma enumeration L', + p1: a + }; + } else { + return { + type_: 'comma enumeration M', + p1: a + }; + } + }, + 'output': function output(buffer, m, entityFollows) { + // entityFollows: + // undefined = if we have nothing else to output, also ignore the just read space (buffer.sb) + // 1 = an entity follows, never omit the space if there was one just read before (can only apply to state 1) + // 2 = 1 + the entity can have an amount, so output a\, instead of converting it to o (can only apply to states a|as) + + /** @type {ParserOutput | ParserOutput[]} */ + var ret; + + if (!buffer.r) { + ret = []; + + if (!buffer.a && !buffer.b && !buffer.p && !buffer.o && !buffer.q && !buffer.d && !entityFollows) ; else { + if (buffer.sb) { + ret.push({ + type_: 'entitySkip' + }); + } + + if (!buffer.o && !buffer.q && !buffer.d && !buffer.b && !buffer.p && entityFollows !== 2) { + buffer.o = buffer.a; + buffer.a = undefined; + } else if (!buffer.o && !buffer.q && !buffer.d && (buffer.b || buffer.p)) { + buffer.o = buffer.a; + buffer.d = buffer.b; + buffer.q = buffer.p; + buffer.a = buffer.b = buffer.p = undefined; + } else { + if (buffer.o && buffer.dType === 'kv' && mhchemParser.patterns.match_('d-oxidation$', buffer.d || "")) { + buffer.dType = 'oxidation'; + } else if (buffer.o && buffer.dType === 'kv' && !buffer.q) { + buffer.dType = undefined; + } + } + + ret.push({ + type_: 'chemfive', + a: mhchemParser.go(buffer.a, 'a'), + b: mhchemParser.go(buffer.b, 'bd'), + p: mhchemParser.go(buffer.p, 'pq'), + o: mhchemParser.go(buffer.o, 'o'), + q: mhchemParser.go(buffer.q, 'pq'), + d: mhchemParser.go(buffer.d, buffer.dType === 'oxidation' ? 'oxidation' : 'bd'), + dType: buffer.dType + }); + } + } else { + // r + + /** @type {ParserOutput[]} */ + var rd; + + if (buffer.rdt === 'M') { + rd = mhchemParser.go(buffer.rd, 'tex-math'); + } else if (buffer.rdt === 'T') { + rd = [{ + type_: 'text', + p1: buffer.rd || "" + }]; + } else { + rd = mhchemParser.go(buffer.rd); + } + /** @type {ParserOutput[]} */ + + + var rq; + + if (buffer.rqt === 'M') { + rq = mhchemParser.go(buffer.rq, 'tex-math'); + } else if (buffer.rqt === 'T') { + rq = [{ + type_: 'text', + p1: buffer.rq || "" + }]; + } else { + rq = mhchemParser.go(buffer.rq); + } + + ret = { + type_: 'arrow', + r: buffer.r, + rd: rd, + rq: rq + }; + } + + for (var p in buffer) { + if (p !== 'parenthesisLevel' && p !== 'beginsWithBond') { + delete buffer[p]; + } + } + + return ret; + }, + 'oxidation-output': function oxidationOutput(buffer, m) { + var ret = ["{"]; + mhchemParser.concatArray(ret, mhchemParser.go(m, 'oxidation')); + ret.push("}"); + return ret; + }, + 'frac-output': function fracOutput(buffer, m) { + return { + type_: 'frac-ce', + p1: mhchemParser.go(m[0]), + p2: mhchemParser.go(m[1]) + }; + }, + 'overset-output': function oversetOutput(buffer, m) { + return { + type_: 'overset', + p1: mhchemParser.go(m[0]), + p2: mhchemParser.go(m[1]) + }; + }, + 'underset-output': function undersetOutput(buffer, m) { + return { + type_: 'underset', + p1: mhchemParser.go(m[0]), + p2: mhchemParser.go(m[1]) + }; + }, + 'underbrace-output': function underbraceOutput(buffer, m) { + return { + type_: 'underbrace', + p1: mhchemParser.go(m[0]), + p2: mhchemParser.go(m[1]) + }; + }, + 'color-output': function colorOutput(buffer, m) { + return { + type_: 'color', + color1: m[0], + color2: mhchemParser.go(m[1]) + }; + }, + 'r=': function r(buffer, m) { + buffer.r = m; + }, + 'rdt=': function rdt(buffer, m) { + buffer.rdt = m; + }, + 'rd=': function rd(buffer, m) { + buffer.rd = m; + }, + 'rqt=': function rqt(buffer, m) { + buffer.rqt = m; + }, + 'rq=': function rq(buffer, m) { + buffer.rq = m; + }, + 'operator': function operator(buffer, m, p1) { + return { + type_: 'operator', + kind_: p1 || m + }; + } + } + }, + 'a': { + transitions: mhchemParser.createTransitions({ + 'empty': { + '*': {} + }, + '1/2$': { + '0': { + action_: '1/2' + } + }, + 'else': { + '0': { + nextState: '1', + revisit: true + } + }, + '$(...)$': { + '*': { + action_: 'tex-math tight', + nextState: '1' + } + }, + ',': { + '*': { + action_: { + type_: 'insert', + option: 'commaDecimal' + } + } + }, + 'else2': { + '*': { + action_: 'copy' + } + } + }), + actions: {} + }, + 'o': { + transitions: mhchemParser.createTransitions({ + 'empty': { + '*': {} + }, + '1/2$': { + '0': { + action_: '1/2' + } + }, + 'else': { + '0': { + nextState: '1', + revisit: true + } + }, + 'letters': { + '*': { + action_: 'rm' + } + }, + '\\ca': { + '*': { + action_: { + type_: 'insert', + option: 'circa' + } + } + }, + '\\x{}{}|\\x{}|\\x': { + '*': { + action_: 'copy' + } + }, + '${(...)}$|$(...)$': { + '*': { + action_: 'tex-math' + } + }, + '{(...)}': { + '*': { + action_: '{text}' + } + }, + 'else2': { + '*': { + action_: 'copy' + } + } + }), + actions: {} + }, + 'text': { + transitions: mhchemParser.createTransitions({ + 'empty': { + '*': { + action_: 'output' + } + }, + '{...}': { + '*': { + action_: 'text=' + } + }, + '${(...)}$|$(...)$': { + '*': { + action_: 'tex-math' + } + }, + '\\greek': { + '*': { + action_: ['output', 'rm'] + } + }, + '\\,|\\x{}{}|\\x{}|\\x': { + '*': { + action_: ['output', 'copy'] + } + }, + 'else': { + '*': { + action_: 'text=' + } + } + }), + actions: { + 'output': function output(buffer) { + if (buffer.text_) { + /** @type {ParserOutput} */ + var ret = { + type_: 'text', + p1: buffer.text_ + }; + + for (var p in buffer) { + delete buffer[p]; + } + + return ret; + } + } + } + }, + 'pq': { + transitions: mhchemParser.createTransitions({ + 'empty': { + '*': {} + }, + 'state of aggregation $': { + '*': { + action_: 'state of aggregation' + } + }, + 'i$': { + '0': { + nextState: '!f', + revisit: true + } + }, + '(KV letters),': { + '0': { + action_: 'rm', + nextState: '0' + } + }, + 'formula$': { + '0': { + nextState: 'f', + revisit: true + } + }, + '1/2$': { + '0': { + action_: '1/2' + } + }, + 'else': { + '0': { + nextState: '!f', + revisit: true + } + }, + '${(...)}$|$(...)$': { + '*': { + action_: 'tex-math' + } + }, + '{(...)}': { + '*': { + action_: 'text' + } + }, + 'a-z': { + 'f': { + action_: 'tex-math' + } + }, + 'letters': { + '*': { + action_: 'rm' + } + }, + '-9.,9': { + '*': { + action_: '9,9' + } + }, + ',': { + '*': { + action_: { + type_: 'insert+p1', + option: 'comma enumeration S' + } + } + }, + '\\color{(...)}{(...)}1|\\color(...){(...)}2': { + '*': { + action_: 'color-output' + } + }, + '\\color{(...)}0': { + '*': { + action_: 'color0-output' + } + }, + '\\ce{(...)}': { + '*': { + action_: 'ce' + } + }, + '\\,|\\x{}{}|\\x{}|\\x': { + '*': { + action_: 'copy' + } + }, + 'else2': { + '*': { + action_: 'copy' + } + } + }), + actions: { + 'state of aggregation': function stateOfAggregation(buffer, m) { + return { + type_: 'state of aggregation subscript', + p1: mhchemParser.go(m, 'o') + }; + }, + 'color-output': function colorOutput(buffer, m) { + return { + type_: 'color', + color1: m[0], + color2: mhchemParser.go(m[1], 'pq') + }; + } + } + }, + 'bd': { + transitions: mhchemParser.createTransitions({ + 'empty': { + '*': {} + }, + 'x$': { + '0': { + nextState: '!f', + revisit: true + } + }, + 'formula$': { + '0': { + nextState: 'f', + revisit: true + } + }, + 'else': { + '0': { + nextState: '!f', + revisit: true + } + }, + '-9.,9 no missing 0': { + '*': { + action_: '9,9' + } + }, + '.': { + '*': { + action_: { + type_: 'insert', + option: 'electron dot' + } + } + }, + 'a-z': { + 'f': { + action_: 'tex-math' + } + }, + 'x': { + '*': { + action_: { + type_: 'insert', + option: 'KV x' + } + } + }, + 'letters': { + '*': { + action_: 'rm' + } + }, + '\'': { + '*': { + action_: { + type_: 'insert', + option: 'prime' + } + } + }, + '${(...)}$|$(...)$': { + '*': { + action_: 'tex-math' + } + }, + '{(...)}': { + '*': { + action_: 'text' + } + }, + '\\color{(...)}{(...)}1|\\color(...){(...)}2': { + '*': { + action_: 'color-output' + } + }, + '\\color{(...)}0': { + '*': { + action_: 'color0-output' + } + }, + '\\ce{(...)}': { + '*': { + action_: 'ce' + } + }, + '\\,|\\x{}{}|\\x{}|\\x': { + '*': { + action_: 'copy' + } + }, + 'else2': { + '*': { + action_: 'copy' + } + } + }), + actions: { + 'color-output': function colorOutput(buffer, m) { + return { + type_: 'color', + color1: m[0], + color2: mhchemParser.go(m[1], 'bd') + }; + } + } + }, + 'oxidation': { + transitions: mhchemParser.createTransitions({ + 'empty': { + '*': {} + }, + 'roman numeral': { + '*': { + action_: 'roman-numeral' + } + }, + '${(...)}$|$(...)$': { + '*': { + action_: 'tex-math' + } + }, + 'else': { + '*': { + action_: 'copy' + } + } + }), + actions: { + 'roman-numeral': function romanNumeral(buffer, m) { + return { + type_: 'roman numeral', + p1: m || "" + }; + } + } + }, + 'tex-math': { + transitions: mhchemParser.createTransitions({ + 'empty': { + '*': { + action_: 'output' + } + }, + '\\ce{(...)}': { + '*': { + action_: ['output', 'ce'] + } + }, + '{...}|\\,|\\x{}{}|\\x{}|\\x': { + '*': { + action_: 'o=' + } + }, + 'else': { + '*': { + action_: 'o=' + } + } + }), + actions: { + 'output': function output(buffer) { + if (buffer.o) { + /** @type {ParserOutput} */ + var ret = { + type_: 'tex-math', + p1: buffer.o + }; + + for (var p in buffer) { + delete buffer[p]; + } + + return ret; + } + } + } + }, + 'tex-math tight': { + transitions: mhchemParser.createTransitions({ + 'empty': { + '*': { + action_: 'output' + } + }, + '\\ce{(...)}': { + '*': { + action_: ['output', 'ce'] + } + }, + '{...}|\\,|\\x{}{}|\\x{}|\\x': { + '*': { + action_: 'o=' + } + }, + '-|+': { + '*': { + action_: 'tight operator' + } + }, + 'else': { + '*': { + action_: 'o=' + } + } + }), + actions: { + 'tight operator': function tightOperator(buffer, m) { + buffer.o = (buffer.o || "") + "{" + m + "}"; + }, + 'output': function output(buffer) { + if (buffer.o) { + /** @type {ParserOutput} */ + var ret = { + type_: 'tex-math', + p1: buffer.o + }; + + for (var p in buffer) { + delete buffer[p]; + } + + return ret; + } + } + } + }, + '9,9': { + transitions: mhchemParser.createTransitions({ + 'empty': { + '*': {} + }, + ',': { + '*': { + action_: 'comma' + } + }, + 'else': { + '*': { + action_: 'copy' + } + } + }), + actions: { + 'comma': function comma() { + return { + type_: 'commaDecimal' + }; + } + } + }, + //#endregion + // + // \pu state machines + // + //#region pu + 'pu': { + transitions: mhchemParser.createTransitions({ + 'empty': { + '*': { + action_: 'output' + } + }, + 'space$': { + '*': { + action_: ['output', 'space'] + } + }, + '{[(|)]}': { + '0|a': { + action_: 'copy' + } + }, + '(-)(9)^(-9)': { + '0': { + action_: 'number^', + nextState: 'a' + } + }, + '(-)(9.,9)(e)(99)': { + '0': { + action_: 'enumber', + nextState: 'a' + } + }, + 'space': { + '0|a': {} + }, + 'pm-operator': { + '0|a': { + action_: { + type_: 'operator', + option: '\\pm' + }, + nextState: '0' + } + }, + 'operator': { + '0|a': { + action_: 'copy', + nextState: '0' + } + }, + '//': { + 'd': { + action_: 'o=', + nextState: '/' + } + }, + '/': { + 'd': { + action_: 'o=', + nextState: '/' + } + }, + '{...}|else': { + '0|d': { + action_: 'd=', + nextState: 'd' + }, + 'a': { + action_: ['space', 'd='], + nextState: 'd' + }, + '/|q': { + action_: 'q=', + nextState: 'q' + } + } + }), + actions: { + 'enumber': function enumber(buffer, m) { + /** @type {ParserOutput[]} */ + var ret = []; + + if (m[0] === "+-" || m[0] === "+/-") { + ret.push("\\pm "); + } else if (m[0]) { + ret.push(m[0]); + } + + if (m[1]) { + mhchemParser.concatArray(ret, mhchemParser.go(m[1], 'pu-9,9')); + + if (m[2]) { + if (m[2].match(/[,.]/)) { + mhchemParser.concatArray(ret, mhchemParser.go(m[2], 'pu-9,9')); + } else { + ret.push(m[2]); + } + } + + m[3] = m[4] || m[3]; + + if (m[3]) { + m[3] = m[3].trim(); + + if (m[3] === "e" || m[3].substr(0, 1) === "*") { + ret.push({ + type_: 'cdot' + }); + } else { + ret.push({ + type_: 'times' + }); + } + } + } + + if (m[3]) { + ret.push("10^{" + m[5] + "}"); + } + + return ret; + }, + 'number^': function number(buffer, m) { + /** @type {ParserOutput[]} */ + var ret = []; + + if (m[0] === "+-" || m[0] === "+/-") { + ret.push("\\pm "); + } else if (m[0]) { + ret.push(m[0]); + } + + mhchemParser.concatArray(ret, mhchemParser.go(m[1], 'pu-9,9')); + ret.push("^{" + m[2] + "}"); + return ret; + }, + 'operator': function operator(buffer, m, p1) { + return { + type_: 'operator', + kind_: p1 || m + }; + }, + 'space': function space() { + return { + type_: 'pu-space-1' + }; + }, + 'output': function output(buffer) { + /** @type {ParserOutput | ParserOutput[]} */ + var ret; + var md = mhchemParser.patterns.match_('{(...)}', buffer.d || ""); + + if (md && md.remainder === '') { + buffer.d = md.match_; + } + + var mq = mhchemParser.patterns.match_('{(...)}', buffer.q || ""); + + if (mq && mq.remainder === '') { + buffer.q = mq.match_; + } + + if (buffer.d) { + buffer.d = buffer.d.replace(/\u00B0C|\^oC|\^{o}C/g, "{}^{\\circ}C"); + buffer.d = buffer.d.replace(/\u00B0F|\^oF|\^{o}F/g, "{}^{\\circ}F"); + } + + if (buffer.q) { + // fraction + buffer.q = buffer.q.replace(/\u00B0C|\^oC|\^{o}C/g, "{}^{\\circ}C"); + buffer.q = buffer.q.replace(/\u00B0F|\^oF|\^{o}F/g, "{}^{\\circ}F"); + var b5 = { + d: mhchemParser.go(buffer.d, 'pu'), + q: mhchemParser.go(buffer.q, 'pu') + }; + + if (buffer.o === '//') { + ret = { + type_: 'pu-frac', + p1: b5.d, + p2: b5.q + }; + } else { + ret = b5.d; + + if (b5.d.length > 1 || b5.q.length > 1) { + ret.push({ + type_: ' / ' + }); + } else { + ret.push({ + type_: '/' + }); + } + + mhchemParser.concatArray(ret, b5.q); + } + } else { + // no fraction + ret = mhchemParser.go(buffer.d, 'pu-2'); + } + + for (var p in buffer) { + delete buffer[p]; + } + + return ret; + } + } + }, + 'pu-2': { + transitions: mhchemParser.createTransitions({ + 'empty': { + '*': { + action_: 'output' + } + }, + '*': { + '*': { + action_: ['output', 'cdot'], + nextState: '0' + } + }, + '\\x': { + '*': { + action_: 'rm=' + } + }, + 'space': { + '*': { + action_: ['output', 'space'], + nextState: '0' + } + }, + '^{(...)}|^(-1)': { + '1': { + action_: '^(-1)' + } + }, + '-9.,9': { + '0': { + action_: 'rm=', + nextState: '0' + }, + '1': { + action_: '^(-1)', + nextState: '0' + } + }, + '{...}|else': { + '*': { + action_: 'rm=', + nextState: '1' + } + } + }), + actions: { + 'cdot': function cdot() { + return { + type_: 'tight cdot' + }; + }, + '^(-1)': function _(buffer, m) { + buffer.rm += "^{" + m + "}"; + }, + 'space': function space() { + return { + type_: 'pu-space-2' + }; + }, + 'output': function output(buffer) { + /** @type {ParserOutput | ParserOutput[]} */ + var ret = []; + + if (buffer.rm) { + var mrm = mhchemParser.patterns.match_('{(...)}', buffer.rm || ""); + + if (mrm && mrm.remainder === '') { + ret = mhchemParser.go(mrm.match_, 'pu'); + } else { + ret = { + type_: 'rm', + p1: buffer.rm + }; + } + } + + for (var p in buffer) { + delete buffer[p]; + } + + return ret; + } + } + }, + 'pu-9,9': { + transitions: mhchemParser.createTransitions({ + 'empty': { + '0': { + action_: 'output-0' + }, + 'o': { + action_: 'output-o' + } + }, + ',': { + '0': { + action_: ['output-0', 'comma'], + nextState: 'o' + } + }, + '.': { + '0': { + action_: ['output-0', 'copy'], + nextState: 'o' + } + }, + 'else': { + '*': { + action_: 'text=' + } + } + }), + actions: { + 'comma': function comma() { + return { + type_: 'commaDecimal' + }; + }, + 'output-0': function output0(buffer) { + /** @type {ParserOutput[]} */ + var ret = []; + buffer.text_ = buffer.text_ || ""; + + if (buffer.text_.length > 4) { + var a = buffer.text_.length % 3; + + if (a === 0) { + a = 3; + } + + for (var i = buffer.text_.length - 3; i > 0; i -= 3) { + ret.push(buffer.text_.substr(i, 3)); + ret.push({ + type_: '1000 separator' + }); + } + + ret.push(buffer.text_.substr(0, a)); + ret.reverse(); + } else { + ret.push(buffer.text_); + } + + for (var p in buffer) { + delete buffer[p]; + } + + return ret; + }, + 'output-o': function outputO(buffer) { + /** @type {ParserOutput[]} */ + var ret = []; + buffer.text_ = buffer.text_ || ""; + + if (buffer.text_.length > 4) { + var a = buffer.text_.length - 3; + + for (var i = 0; i < a; i += 3) { + ret.push(buffer.text_.substr(i, 3)); + ret.push({ + type_: '1000 separator' + }); + } + + ret.push(buffer.text_.substr(i)); + } else { + ret.push(buffer.text_); + } + + for (var p in buffer) { + delete buffer[p]; + } + + return ret; + } + } + } //#endregion + +}; // +// texify: Take MhchemParser output and convert it to TeX +// + +/** @type {Texify} */ + +var texify = { + go: function go(input, isInner) { + // (recursive, max 4 levels) + if (!input) { + return ""; + } + + var res = ""; + var cee = false; + + for (var i = 0; i < input.length; i++) { + var inputi = input[i]; + + if (typeof inputi === "string") { + res += inputi; + } else { + res += texify._go2(inputi); + + if (inputi.type_ === '1st-level escape') { + cee = true; + } + } + } + + if (!isInner && !cee && res) { + res = "{" + res + "}"; + } + + return res; + }, + _goInner: function _goInner(input) { + if (!input) { + return input; + } + + return texify.go(input, true); + }, + _go2: function _go2(buf) { + /** @type {undefined | string} */ + var res; + + switch (buf.type_) { + case 'chemfive': + res = ""; + var b5 = { + a: texify._goInner(buf.a), + b: texify._goInner(buf.b), + p: texify._goInner(buf.p), + o: texify._goInner(buf.o), + q: texify._goInner(buf.q), + d: texify._goInner(buf.d) + }; // + // a + // + + if (b5.a) { + if (b5.a.match(/^[+\-]/)) { + b5.a = "{" + b5.a + "}"; + } + + res += b5.a + "\\,"; + } // + // b and p + // + + + if (b5.b || b5.p) { + res += "{\\vphantom{X}}"; + res += "^{\\hphantom{" + (b5.b || "") + "}}_{\\hphantom{" + (b5.p || "") + "}}"; + res += "{\\vphantom{X}}"; + res += "^{\\smash[t]{\\vphantom{2}}\\mathllap{" + (b5.b || "") + "}}"; + res += "_{\\vphantom{2}\\mathllap{\\smash[t]{" + (b5.p || "") + "}}}"; + } // + // o + // + + + if (b5.o) { + if (b5.o.match(/^[+\-]/)) { + b5.o = "{" + b5.o + "}"; + } + + res += b5.o; + } // + // q and d + // + + + if (buf.dType === 'kv') { + if (b5.d || b5.q) { + res += "{\\vphantom{X}}"; + } + + if (b5.d) { + res += "^{" + b5.d + "}"; + } + + if (b5.q) { + res += "_{\\smash[t]{" + b5.q + "}}"; + } + } else if (buf.dType === 'oxidation') { + if (b5.d) { + res += "{\\vphantom{X}}"; + res += "^{" + b5.d + "}"; + } + + if (b5.q) { + res += "{\\vphantom{X}}"; + res += "_{\\smash[t]{" + b5.q + "}}"; + } + } else { + if (b5.q) { + res += "{\\vphantom{X}}"; + res += "_{\\smash[t]{" + b5.q + "}}"; + } + + if (b5.d) { + res += "{\\vphantom{X}}"; + res += "^{" + b5.d + "}"; + } + } + + break; + + case 'rm': + res = "\\mathrm{" + buf.p1 + "}"; + break; + + case 'text': + if (buf.p1.match(/[\^_]/)) { + buf.p1 = buf.p1.replace(" ", "~").replace("-", "\\text{-}"); + res = "\\mathrm{" + buf.p1 + "}"; + } else { + res = "\\text{" + buf.p1 + "}"; + } + + break; + + case 'roman numeral': + res = "\\mathrm{" + buf.p1 + "}"; + break; + + case 'state of aggregation': + res = "\\mskip2mu " + texify._goInner(buf.p1); + break; + + case 'state of aggregation subscript': + res = "\\mskip1mu " + texify._goInner(buf.p1); + break; + + case 'bond': + res = texify._getBond(buf.kind_); + + if (!res) { + throw ["MhchemErrorBond", "mhchem Error. Unknown bond type (" + buf.kind_ + ")"]; + } + + break; + + case 'frac': + var c = "\\frac{" + buf.p1 + "}{" + buf.p2 + "}"; + res = "\\mathchoice{\\textstyle" + c + "}{" + c + "}{" + c + "}{" + c + "}"; + break; + + case 'pu-frac': + var d = "\\frac{" + texify._goInner(buf.p1) + "}{" + texify._goInner(buf.p2) + "}"; + res = "\\mathchoice{\\textstyle" + d + "}{" + d + "}{" + d + "}{" + d + "}"; + break; + + case 'tex-math': + res = buf.p1 + " "; + break; + + case 'frac-ce': + res = "\\frac{" + texify._goInner(buf.p1) + "}{" + texify._goInner(buf.p2) + "}"; + break; + + case 'overset': + res = "\\overset{" + texify._goInner(buf.p1) + "}{" + texify._goInner(buf.p2) + "}"; + break; + + case 'underset': + res = "\\underset{" + texify._goInner(buf.p1) + "}{" + texify._goInner(buf.p2) + "}"; + break; + + case 'underbrace': + res = "\\underbrace{" + texify._goInner(buf.p1) + "}_{" + texify._goInner(buf.p2) + "}"; + break; + + case 'color': + res = "{\\color{" + buf.color1 + "}{" + texify._goInner(buf.color2) + "}}"; + break; + + case 'color0': + res = "\\color{" + buf.color + "}"; + break; + + case 'arrow': + var b6 = { + rd: texify._goInner(buf.rd), + rq: texify._goInner(buf.rq) + }; + + var arrow = "\\x" + texify._getArrow(buf.r); + + if (b6.rq) { + arrow += "[{" + b6.rq + "}]"; + } + + if (b6.rd) { + arrow += "{" + b6.rd + "}"; + } else { + arrow += "{}"; + } + + res = arrow; + break; + + case 'operator': + res = texify._getOperator(buf.kind_); + break; + + case '1st-level escape': + res = buf.p1 + " "; // &, \\\\, \\hlin + + break; + + case 'space': + res = " "; + break; + + case 'entitySkip': + res = "~"; + break; + + case 'pu-space-1': + res = "~"; + break; + + case 'pu-space-2': + res = "\\mkern3mu "; + break; + + case '1000 separator': + res = "\\mkern2mu "; + break; + + case 'commaDecimal': + res = "{,}"; + break; + + case 'comma enumeration L': + res = "{" + buf.p1 + "}\\mkern6mu "; + break; + + case 'comma enumeration M': + res = "{" + buf.p1 + "}\\mkern3mu "; + break; + + case 'comma enumeration S': + res = "{" + buf.p1 + "}\\mkern1mu "; + break; + + case 'hyphen': + res = "\\text{-}"; + break; + + case 'addition compound': + res = "\\,{\\cdot}\\,"; + break; + + case 'electron dot': + res = "\\mkern1mu \\bullet\\mkern1mu "; + break; + + case 'KV x': + res = "{\\times}"; + break; + + case 'prime': + res = "\\prime "; + break; + + case 'cdot': + res = "\\cdot "; + break; + + case 'tight cdot': + res = "\\mkern1mu{\\cdot}\\mkern1mu "; + break; + + case 'times': + res = "\\times "; + break; + + case 'circa': + res = "{\\sim}"; + break; + + case '^': + res = "uparrow"; + break; + + case 'v': + res = "downarrow"; + break; + + case 'ellipsis': + res = "\\ldots "; + break; + + case '/': + res = "/"; + break; + + case ' / ': + res = "\\,/\\,"; + break; + + default: + throw ["MhchemBugT", "mhchem bug T. Please report."]; + // Missing texify rule or unknown MhchemParser output + } + return res; + }, + _getArrow: function _getArrow(a) { + switch (a) { + case "->": + return "rightarrow"; + + case "\u2192": + return "rightarrow"; + + case "\u27F6": + return "rightarrow"; + + case "<-": + return "leftarrow"; + + case "<->": + return "leftrightarrow"; + + case "<-->": + return "rightleftarrows"; + + case "<=>": + return "rightleftharpoons"; + + case "\u21CC": + return "rightleftharpoons"; + + case "<=>>": + return "rightequilibrium"; + + case "<<=>": + return "leftequilibrium"; + + default: + throw ["MhchemBugT", "mhchem bug T. Please report."]; + } + }, + _getBond: function _getBond(a) { + switch (a) { + case "-": + return "{-}"; + + case "1": + return "{-}"; + + case "=": + return "{=}"; + + case "2": + return "{=}"; + + case "#": + return "{\\equiv}"; + + case "3": + return "{\\equiv}"; + + case "~": + return "{\\tripledash}"; + + case "~-": + return "{\\mathrlap{\\raisebox{-.1em}{$-$}}\\raisebox{.1em}{$\\tripledash$}}"; + + case "~=": + return "{\\mathrlap{\\raisebox{-.2em}{$-$}}\\mathrlap{\\raisebox{.2em}{$\\tripledash$}}-}"; + + case "~--": + return "{\\mathrlap{\\raisebox{-.2em}{$-$}}\\mathrlap{\\raisebox{.2em}{$\\tripledash$}}-}"; + + case "-~-": + return "{\\mathrlap{\\raisebox{-.2em}{$-$}}\\mathrlap{\\raisebox{.2em}{$-$}}\\tripledash}"; + + case "...": + return "{{\\cdot}{\\cdot}{\\cdot}}"; + + case "....": + return "{{\\cdot}{\\cdot}{\\cdot}{\\cdot}}"; + + case "->": + return "{\\rightarrow}"; + + case "<-": + return "{\\leftarrow}"; + + case "<": + return "{<}"; + + case ">": + return "{>}"; + + default: + throw ["MhchemBugT", "mhchem bug T. Please report."]; + } + }, + _getOperator: function _getOperator(a) { + switch (a) { + case "+": + return " {}+{} "; + + case "-": + return " {}-{} "; + + case "=": + return " {}={} "; + + case "<": + return " {}<{} "; + + case ">": + return " {}>{} "; + + case "<<": + return " {}\\ll{} "; + + case ">>": + return " {}\\gg{} "; + + case "\\pm": + return " {}\\pm{} "; + + case "\\approx": + return " {}\\approx{} "; + + case "$\\approx$": + return " {}\\approx{} "; + + case "v": + return " \\downarrow{} "; + + case "(v)": + return " \\downarrow{} "; + + case "^": + return " \\uparrow{} "; + + case "(^)": + return " \\uparrow{} "; + + default: + throw ["MhchemBugT", "mhchem bug T. Please report."]; + } + } +}; // diff --git a/katex/contrib/render-a11y-string.js b/katex/contrib/render-a11y-string.js new file mode 100644 index 0000000..3e1e39b --- /dev/null +++ b/katex/contrib/render-a11y-string.js @@ -0,0 +1,881 @@ +(function webpackUniversalModuleDefinition(root, factory) { + if(typeof exports === 'object' && typeof module === 'object') + module.exports = factory(require("katex")); + else if(typeof define === 'function' && define.amd) + define(["katex"], factory); + else { + var a = typeof exports === 'object' ? factory(require("katex")) : factory(root["katex"]); + for(var i in a) (typeof exports === 'object' ? exports : root)[i] = a[i]; + } +})((typeof self !== 'undefined' ? self : this), function(__WEBPACK_EXTERNAL_MODULE__771__) { +return /******/ (function() { // webpackBootstrap +/******/ "use strict"; +/******/ var __webpack_modules__ = ({ + +/***/ 771: +/***/ (function(module) { + +module.exports = __WEBPACK_EXTERNAL_MODULE__771__; + +/***/ }) + +/******/ }); +/************************************************************************/ +/******/ // The module cache +/******/ var __webpack_module_cache__ = {}; +/******/ +/******/ // The require function +/******/ function __webpack_require__(moduleId) { +/******/ // Check if module is in cache +/******/ var cachedModule = __webpack_module_cache__[moduleId]; +/******/ if (cachedModule !== undefined) { +/******/ return cachedModule.exports; +/******/ } +/******/ // Create a new module (and put it into the cache) +/******/ var module = __webpack_module_cache__[moduleId] = { +/******/ // no module.id needed +/******/ // no module.loaded needed +/******/ exports: {} +/******/ }; +/******/ +/******/ // Execute the module function +/******/ __webpack_modules__[moduleId](module, module.exports, __webpack_require__); +/******/ +/******/ // Return the exports of the module +/******/ return module.exports; +/******/ } +/******/ +/************************************************************************/ +/******/ /* webpack/runtime/compat get default export */ +/******/ !function() { +/******/ // getDefaultExport function for compatibility with non-harmony modules +/******/ __webpack_require__.n = function(module) { +/******/ var getter = module && module.__esModule ? +/******/ function() { return module['default']; } : +/******/ function() { return module; }; +/******/ __webpack_require__.d(getter, { a: getter }); +/******/ return getter; +/******/ }; +/******/ }(); +/******/ +/******/ /* webpack/runtime/define property getters */ +/******/ !function() { +/******/ // define getter functions for harmony exports +/******/ __webpack_require__.d = function(exports, definition) { +/******/ for(var key in definition) { +/******/ if(__webpack_require__.o(definition, key) && !__webpack_require__.o(exports, key)) { +/******/ Object.defineProperty(exports, key, { enumerable: true, get: definition[key] }); +/******/ } +/******/ } +/******/ }; +/******/ }(); +/******/ +/******/ /* webpack/runtime/hasOwnProperty shorthand */ +/******/ !function() { +/******/ __webpack_require__.o = function(obj, prop) { return Object.prototype.hasOwnProperty.call(obj, prop); } +/******/ }(); +/******/ +/************************************************************************/ +var __webpack_exports__ = {}; +// This entry need to be wrapped in an IIFE because it need to be isolated against other modules in the chunk. +!function() { +/* harmony import */ var katex__WEBPACK_IMPORTED_MODULE_0__ = __webpack_require__(771); +/* harmony import */ var katex__WEBPACK_IMPORTED_MODULE_0___default = /*#__PURE__*/__webpack_require__.n(katex__WEBPACK_IMPORTED_MODULE_0__); +/** + * renderA11yString returns a readable string. + * + * In some cases the string will have the proper semantic math + * meaning,: + * renderA11yString("\\frac{1}{2}"") + * -> "start fraction, 1, divided by, 2, end fraction" + * + * However, other cases do not: + * renderA11yString("f(x) = x^2") + * -> "f, left parenthesis, x, right parenthesis, equals, x, squared" + * + * The commas in the string aim to increase ease of understanding + * when read by a screenreader. + */ +// NOTE: since we're importing types here these files won't actually be +// included in the build. +// $FlowIgnore: we import the types directly anyways + +var stringMap = { + "(": "left parenthesis", + ")": "right parenthesis", + "[": "open bracket", + "]": "close bracket", + "\\{": "left brace", + "\\}": "right brace", + "\\lvert": "open vertical bar", + "\\rvert": "close vertical bar", + "|": "vertical bar", + "\\uparrow": "up arrow", + "\\Uparrow": "up arrow", + "\\downarrow": "down arrow", + "\\Downarrow": "down arrow", + "\\updownarrow": "up down arrow", + "\\leftarrow": "left arrow", + "\\Leftarrow": "left arrow", + "\\rightarrow": "right arrow", + "\\Rightarrow": "right arrow", + "\\langle": "open angle", + "\\rangle": "close angle", + "\\lfloor": "open floor", + "\\rfloor": "close floor", + "\\int": "integral", + "\\intop": "integral", + "\\lim": "limit", + "\\ln": "natural log", + "\\log": "log", + "\\sin": "sine", + "\\cos": "cosine", + "\\tan": "tangent", + "\\cot": "cotangent", + "\\sum": "sum", + "/": "slash", + ",": "comma", + ".": "point", + "-": "negative", + "+": "plus", + "~": "tilde", + ":": "colon", + "?": "question mark", + "'": "apostrophe", + "\\%": "percent", + " ": "space", + "\\ ": "space", + "\\$": "dollar sign", + "\\angle": "angle", + "\\degree": "degree", + "\\circ": "circle", + "\\vec": "vector", + "\\triangle": "triangle", + "\\pi": "pi", + "\\prime": "prime", + "\\infty": "infinity", + "\\alpha": "alpha", + "\\beta": "beta", + "\\gamma": "gamma", + "\\omega": "omega", + "\\theta": "theta", + "\\sigma": "sigma", + "\\lambda": "lambda", + "\\tau": "tau", + "\\Delta": "delta", + "\\delta": "delta", + "\\mu": "mu", + "\\rho": "rho", + "\\nabla": "del", + "\\ell": "ell", + "\\ldots": "dots", + // TODO: add entries for all accents + "\\hat": "hat", + "\\acute": "acute" +}; +var powerMap = { + "prime": "prime", + "degree": "degrees", + "circle": "degrees", + "2": "squared", + "3": "cubed" +}; +var openMap = { + "|": "open vertical bar", + ".": "" +}; +var closeMap = { + "|": "close vertical bar", + ".": "" +}; +var binMap = { + "+": "plus", + "-": "minus", + "\\pm": "plus minus", + "\\cdot": "dot", + "*": "times", + "/": "divided by", + "\\times": "times", + "\\div": "divided by", + "\\circ": "circle", + "\\bullet": "bullet" +}; +var relMap = { + "=": "equals", + "\\approx": "approximately equals", + "≠": "does not equal", + "\\geq": "is greater than or equal to", + "\\ge": "is greater than or equal to", + "\\leq": "is less than or equal to", + "\\le": "is less than or equal to", + ">": "is greater than", + "<": "is less than", + "\\leftarrow": "left arrow", + "\\Leftarrow": "left arrow", + "\\rightarrow": "right arrow", + "\\Rightarrow": "right arrow", + ":": "colon" +}; +var accentUnderMap = { + "\\underleftarrow": "left arrow", + "\\underrightarrow": "right arrow", + "\\underleftrightarrow": "left-right arrow", + "\\undergroup": "group", + "\\underlinesegment": "line segment", + "\\utilde": "tilde" +}; + +var buildString = function buildString(str, type, a11yStrings) { + if (!str) { + return; + } + + var ret; + + if (type === "open") { + ret = str in openMap ? openMap[str] : stringMap[str] || str; + } else if (type === "close") { + ret = str in closeMap ? closeMap[str] : stringMap[str] || str; + } else if (type === "bin") { + ret = binMap[str] || str; + } else if (type === "rel") { + ret = relMap[str] || str; + } else { + ret = stringMap[str] || str; + } // If the text to add is a number and there is already a string + // in the list and the last string is a number then we should + // combine them into a single number + + + if (/^\d+$/.test(ret) && a11yStrings.length > 0 && // TODO(kevinb): check that the last item in a11yStrings is a string + // I think we might be able to drop the nested arrays, which would make + // this easier to type + // $FlowFixMe + /^\d+$/.test(a11yStrings[a11yStrings.length - 1])) { + a11yStrings[a11yStrings.length - 1] += ret; + } else if (ret) { + a11yStrings.push(ret); + } +}; + +var buildRegion = function buildRegion(a11yStrings, callback) { + var regionStrings = []; + a11yStrings.push(regionStrings); + callback(regionStrings); +}; + +var handleObject = function handleObject(tree, a11yStrings, atomType) { + // Everything else is assumed to be an object... + switch (tree.type) { + case "accent": + { + buildRegion(a11yStrings, function (a11yStrings) { + buildA11yStrings(tree.base, a11yStrings, atomType); + a11yStrings.push("with"); + buildString(tree.label, "normal", a11yStrings); + a11yStrings.push("on top"); + }); + break; + } + + case "accentUnder": + { + buildRegion(a11yStrings, function (a11yStrings) { + buildA11yStrings(tree.base, a11yStrings, atomType); + a11yStrings.push("with"); + buildString(accentUnderMap[tree.label], "normal", a11yStrings); + a11yStrings.push("underneath"); + }); + break; + } + + case "accent-token": + { + // Used internally by accent symbols. + break; + } + + case "atom": + { + var text = tree.text; + + switch (tree.family) { + case "bin": + { + buildString(text, "bin", a11yStrings); + break; + } + + case "close": + { + buildString(text, "close", a11yStrings); + break; + } + // TODO(kevinb): figure out what should be done for inner + + case "inner": + { + buildString(tree.text, "inner", a11yStrings); + break; + } + + case "open": + { + buildString(text, "open", a11yStrings); + break; + } + + case "punct": + { + buildString(text, "punct", a11yStrings); + break; + } + + case "rel": + { + buildString(text, "rel", a11yStrings); + break; + } + + default: + { + tree.family; + throw new Error("\"" + tree.family + "\" is not a valid atom type"); + } + } + + break; + } + + case "color": + { + var color = tree.color.replace(/katex-/, ""); + buildRegion(a11yStrings, function (regionStrings) { + regionStrings.push("start color " + color); + buildA11yStrings(tree.body, regionStrings, atomType); + regionStrings.push("end color " + color); + }); + break; + } + + case "color-token": + { + // Used by \color, \colorbox, and \fcolorbox but not directly rendered. + // It's a leaf node and has no children so just break. + break; + } + + case "delimsizing": + { + if (tree.delim && tree.delim !== ".") { + buildString(tree.delim, "normal", a11yStrings); + } + + break; + } + + case "genfrac": + { + buildRegion(a11yStrings, function (regionStrings) { + // genfrac can have unbalanced delimiters + var leftDelim = tree.leftDelim, + rightDelim = tree.rightDelim; // NOTE: Not sure if this is a safe assumption + // hasBarLine true -> fraction, false -> binomial + + if (tree.hasBarLine) { + regionStrings.push("start fraction"); + leftDelim && buildString(leftDelim, "open", regionStrings); + buildA11yStrings(tree.numer, regionStrings, atomType); + regionStrings.push("divided by"); + buildA11yStrings(tree.denom, regionStrings, atomType); + rightDelim && buildString(rightDelim, "close", regionStrings); + regionStrings.push("end fraction"); + } else { + regionStrings.push("start binomial"); + leftDelim && buildString(leftDelim, "open", regionStrings); + buildA11yStrings(tree.numer, regionStrings, atomType); + regionStrings.push("over"); + buildA11yStrings(tree.denom, regionStrings, atomType); + rightDelim && buildString(rightDelim, "close", regionStrings); + regionStrings.push("end binomial"); + } + }); + break; + } + + case "hbox": + { + buildA11yStrings(tree.body, a11yStrings, atomType); + break; + } + + case "kern": + { + // No op: we don't attempt to present kerning information + // to the screen reader. + break; + } + + case "leftright": + { + buildRegion(a11yStrings, function (regionStrings) { + buildString(tree.left, "open", regionStrings); + buildA11yStrings(tree.body, regionStrings, atomType); + buildString(tree.right, "close", regionStrings); + }); + break; + } + + case "leftright-right": + { + // TODO: double check that this is a no-op + break; + } + + case "lap": + { + buildA11yStrings(tree.body, a11yStrings, atomType); + break; + } + + case "mathord": + { + buildString(tree.text, "normal", a11yStrings); + break; + } + + case "op": + { + var body = tree.body, + name = tree.name; + + if (body) { + buildA11yStrings(body, a11yStrings, atomType); + } else if (name) { + buildString(name, "normal", a11yStrings); + } + + break; + } + + case "op-token": + { + // Used internally by operator symbols. + buildString(tree.text, atomType, a11yStrings); + break; + } + + case "ordgroup": + { + buildA11yStrings(tree.body, a11yStrings, atomType); + break; + } + + case "overline": + { + buildRegion(a11yStrings, function (a11yStrings) { + a11yStrings.push("start overline"); + buildA11yStrings(tree.body, a11yStrings, atomType); + a11yStrings.push("end overline"); + }); + break; + } + + case "pmb": + { + a11yStrings.push("bold"); + break; + } + + case "phantom": + { + a11yStrings.push("empty space"); + break; + } + + case "raisebox": + { + buildA11yStrings(tree.body, a11yStrings, atomType); + break; + } + + case "rule": + { + a11yStrings.push("rectangle"); + break; + } + + case "sizing": + { + buildA11yStrings(tree.body, a11yStrings, atomType); + break; + } + + case "spacing": + { + a11yStrings.push("space"); + break; + } + + case "styling": + { + // We ignore the styling and just pass through the contents + buildA11yStrings(tree.body, a11yStrings, atomType); + break; + } + + case "sqrt": + { + buildRegion(a11yStrings, function (regionStrings) { + var body = tree.body, + index = tree.index; + + if (index) { + var indexString = flatten(buildA11yStrings(index, [], atomType)).join(","); + + if (indexString === "3") { + regionStrings.push("cube root of"); + buildA11yStrings(body, regionStrings, atomType); + regionStrings.push("end cube root"); + return; + } + + regionStrings.push("root"); + regionStrings.push("start index"); + buildA11yStrings(index, regionStrings, atomType); + regionStrings.push("end index"); + return; + } + + regionStrings.push("square root of"); + buildA11yStrings(body, regionStrings, atomType); + regionStrings.push("end square root"); + }); + break; + } + + case "supsub": + { + var base = tree.base, + sub = tree.sub, + sup = tree.sup; + var isLog = false; + + if (base) { + buildA11yStrings(base, a11yStrings, atomType); + isLog = base.type === "op" && base.name === "\\log"; + } + + if (sub) { + var regionName = isLog ? "base" : "subscript"; + buildRegion(a11yStrings, function (regionStrings) { + regionStrings.push("start " + regionName); + buildA11yStrings(sub, regionStrings, atomType); + regionStrings.push("end " + regionName); + }); + } + + if (sup) { + buildRegion(a11yStrings, function (regionStrings) { + var supString = flatten(buildA11yStrings(sup, [], atomType)).join(","); + + if (supString in powerMap) { + regionStrings.push(powerMap[supString]); + return; + } + + regionStrings.push("start superscript"); + buildA11yStrings(sup, regionStrings, atomType); + regionStrings.push("end superscript"); + }); + } + + break; + } + + case "text": + { + // TODO: handle other fonts + if (tree.font === "\\textbf") { + buildRegion(a11yStrings, function (regionStrings) { + regionStrings.push("start bold text"); + buildA11yStrings(tree.body, regionStrings, atomType); + regionStrings.push("end bold text"); + }); + break; + } + + buildRegion(a11yStrings, function (regionStrings) { + regionStrings.push("start text"); + buildA11yStrings(tree.body, regionStrings, atomType); + regionStrings.push("end text"); + }); + break; + } + + case "textord": + { + buildString(tree.text, atomType, a11yStrings); + break; + } + + case "smash": + { + buildA11yStrings(tree.body, a11yStrings, atomType); + break; + } + + case "enclose": + { + // TODO: create a map for these. + // TODO: differentiate between a body with a single atom, e.g. + // "cancel a" instead of "start cancel, a, end cancel" + if (/cancel/.test(tree.label)) { + buildRegion(a11yStrings, function (regionStrings) { + regionStrings.push("start cancel"); + buildA11yStrings(tree.body, regionStrings, atomType); + regionStrings.push("end cancel"); + }); + break; + } else if (/box/.test(tree.label)) { + buildRegion(a11yStrings, function (regionStrings) { + regionStrings.push("start box"); + buildA11yStrings(tree.body, regionStrings, atomType); + regionStrings.push("end box"); + }); + break; + } else if (/sout/.test(tree.label)) { + buildRegion(a11yStrings, function (regionStrings) { + regionStrings.push("start strikeout"); + buildA11yStrings(tree.body, regionStrings, atomType); + regionStrings.push("end strikeout"); + }); + break; + } else if (/phase/.test(tree.label)) { + buildRegion(a11yStrings, function (regionStrings) { + regionStrings.push("start phase angle"); + buildA11yStrings(tree.body, regionStrings, atomType); + regionStrings.push("end phase angle"); + }); + break; + } + + throw new Error("KaTeX-a11y: enclose node with " + tree.label + " not supported yet"); + } + + case "vcenter": + { + buildA11yStrings(tree.body, a11yStrings, atomType); + break; + } + + case "vphantom": + { + throw new Error("KaTeX-a11y: vphantom not implemented yet"); + } + + case "hphantom": + { + throw new Error("KaTeX-a11y: hphantom not implemented yet"); + } + + case "operatorname": + { + buildA11yStrings(tree.body, a11yStrings, atomType); + break; + } + + case "array": + { + throw new Error("KaTeX-a11y: array not implemented yet"); + } + + case "raw": + { + throw new Error("KaTeX-a11y: raw not implemented yet"); + } + + case "size": + { + // Although there are nodes of type "size" in the parse tree, they have + // no semantic meaning and should be ignored. + break; + } + + case "url": + { + throw new Error("KaTeX-a11y: url not implemented yet"); + } + + case "tag": + { + throw new Error("KaTeX-a11y: tag not implemented yet"); + } + + case "verb": + { + buildString("start verbatim", "normal", a11yStrings); + buildString(tree.body, "normal", a11yStrings); + buildString("end verbatim", "normal", a11yStrings); + break; + } + + case "environment": + { + throw new Error("KaTeX-a11y: environment not implemented yet"); + } + + case "horizBrace": + { + buildString("start " + tree.label.slice(1), "normal", a11yStrings); + buildA11yStrings(tree.base, a11yStrings, atomType); + buildString("end " + tree.label.slice(1), "normal", a11yStrings); + break; + } + + case "infix": + { + // All infix nodes are replace with other nodes. + break; + } + + case "includegraphics": + { + throw new Error("KaTeX-a11y: includegraphics not implemented yet"); + } + + case "font": + { + // TODO: callout the start/end of specific fonts + // TODO: map \BBb{N} to "the naturals" or something like that + buildA11yStrings(tree.body, a11yStrings, atomType); + break; + } + + case "href": + { + throw new Error("KaTeX-a11y: href not implemented yet"); + } + + case "cr": + { + // This is used by environments. + throw new Error("KaTeX-a11y: cr not implemented yet"); + } + + case "underline": + { + buildRegion(a11yStrings, function (a11yStrings) { + a11yStrings.push("start underline"); + buildA11yStrings(tree.body, a11yStrings, atomType); + a11yStrings.push("end underline"); + }); + break; + } + + case "xArrow": + { + throw new Error("KaTeX-a11y: xArrow not implemented yet"); + } + + case "cdlabel": + { + throw new Error("KaTeX-a11y: cdlabel not implemented yet"); + } + + case "cdlabelparent": + { + throw new Error("KaTeX-a11y: cdlabelparent not implemented yet"); + } + + case "mclass": + { + // \neq and \ne are macros so we let "htmlmathml" render the mathmal + // side of things and extract the text from that. + var _atomType = tree.mclass.slice(1); // $FlowFixMe: drop the leading "m" from the values in mclass + + + buildA11yStrings(tree.body, a11yStrings, _atomType); + break; + } + + case "mathchoice": + { + // TODO: track which which style we're using, e.g. dispaly, text, etc. + // default to text style if even that may not be the correct style + buildA11yStrings(tree.text, a11yStrings, atomType); + break; + } + + case "htmlmathml": + { + buildA11yStrings(tree.mathml, a11yStrings, atomType); + break; + } + + case "middle": + { + buildString(tree.delim, atomType, a11yStrings); + break; + } + + case "internal": + { + // internal nodes are never included in the parse tree + break; + } + + case "html": + { + buildA11yStrings(tree.body, a11yStrings, atomType); + break; + } + + default: + tree.type; + throw new Error("KaTeX a11y un-recognized type: " + tree.type); + } +}; + +var buildA11yStrings = function buildA11yStrings(tree, a11yStrings, atomType) { + if (a11yStrings === void 0) { + a11yStrings = []; + } + + if (tree instanceof Array) { + for (var i = 0; i < tree.length; i++) { + buildA11yStrings(tree[i], a11yStrings, atomType); + } + } else { + handleObject(tree, a11yStrings, atomType); + } + + return a11yStrings; +}; + +var flatten = function flatten(array) { + var result = []; + array.forEach(function (item) { + if (item instanceof Array) { + result = result.concat(flatten(item)); + } else { + result.push(item); + } + }); + return result; +}; + +var renderA11yString = function renderA11yString(text, settings) { + var tree = katex__WEBPACK_IMPORTED_MODULE_0___default().__parse(text, settings); + + var a11yStrings = buildA11yStrings(tree, [], "normal"); + return flatten(a11yStrings).join(", "); +}; + +/* harmony default export */ __webpack_exports__["default"] = (renderA11yString); +}(); +__webpack_exports__ = __webpack_exports__["default"]; +/******/ return __webpack_exports__; +/******/ })() +; +}); \ No newline at end of file diff --git a/katex/contrib/render-a11y-string.min.js b/katex/contrib/render-a11y-string.min.js new file mode 100644 index 0000000..d4cec29 --- /dev/null +++ b/katex/contrib/render-a11y-string.min.js @@ -0,0 +1 @@ +!function(e,r){if("object"==typeof exports&&"object"==typeof module)module.exports=r(require("katex"));else if("function"==typeof define&&define.amd)define(["katex"],r);else{var a="object"==typeof exports?r(require("katex")):r(e.katex);for(var t in a)("object"==typeof exports?exports:e)[t]=a[t]}}("undefined"!=typeof self?self:this,(function(e){return function(){"use strict";var r={771:function(r){r.exports=e}},a={};function t(e){var o=a[e];if(void 0!==o)return o.exports;var n=a[e]={exports:{}};return r[e](n,n.exports,t),n.exports}t.n=function(e){var r=e&&e.__esModule?function(){return e.default}:function(){return e};return t.d(r,{a:r}),r},t.d=function(e,r){for(var a in r)t.o(r,a)&&!t.o(e,a)&&Object.defineProperty(e,a,{enumerable:!0,get:r[a]})},t.o=function(e,r){return Object.prototype.hasOwnProperty.call(e,r)};var o,n,s,i,l,c,u,p,d,b,h,m,f,y,w={};return o=t(771),n=t.n(o),s={"(":"left parenthesis",")":"right parenthesis","[":"open bracket","]":"close bracket","\\{":"left brace","\\}":"right brace","\\lvert":"open vertical bar","\\rvert":"close vertical bar","|":"vertical bar","\\uparrow":"up arrow","\\Uparrow":"up arrow","\\downarrow":"down arrow","\\Downarrow":"down arrow","\\updownarrow":"up down arrow","\\leftarrow":"left arrow","\\Leftarrow":"left arrow","\\rightarrow":"right arrow","\\Rightarrow":"right arrow","\\langle":"open angle","\\rangle":"close angle","\\lfloor":"open floor","\\rfloor":"close floor","\\int":"integral","\\intop":"integral","\\lim":"limit","\\ln":"natural 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by","\\circ":"circle","\\bullet":"bullet"},p={"=":"equals","\\approx":"approximately equals","\u2260":"does not equal","\\geq":"is greater than or equal to","\\ge":"is greater than or equal to","\\leq":"is less than or equal to","\\le":"is less than or equal to",">":"is greater than","<":"is less than","\\leftarrow":"left arrow","\\Leftarrow":"left arrow","\\rightarrow":"right arrow","\\Rightarrow":"right arrow",":":"colon"},d={"\\underleftarrow":"left arrow","\\underrightarrow":"right arrow","\\underleftrightarrow":"left-right arrow","\\undergroup":"group","\\underlinesegment":"line segment","\\utilde":"tilde"},b=function(e,r,a){var t;e&&(/^\d+$/.test(t="open"===r?e in l?l[e]:s[e]||e:"close"===r?e in c?c[e]:s[e]||e:"bin"===r?u[e]||e:"rel"===r?p[e]||e:s[e]||e)&&a.length>0&&/^\d+$/.test(a[a.length-1])?a[a.length-1]+=t:t&&a.push(t))},h=function(e,r){var a=[];e.push(a),r(a)},m=function(e,r,a){switch(e.type){case"accent":h(r,(function(r){f(e.base,r,a),r.push("with"),b(e.label,"normal",r),r.push("on top")}));break;case"accentUnder":h(r,(function(r){f(e.base,r,a),r.push("with"),b(d[e.label],"normal",r),r.push("underneath")}));break;case"accent-token":break;case"atom":var t=e.text;switch(e.family){case"bin":b(t,"bin",r);break;case"close":b(t,"close",r);break;case"inner":b(e.text,"inner",r);break;case"open":b(t,"open",r);break;case"punct":b(t,"punct",r);break;case"rel":b(t,"rel",r);break;default:throw e.family,new Error('"'+e.family+'" is not a valid atom type')}break;case"color":var o=e.color.replace(/katex-/,"");h(r,(function(r){r.push("start color "+o),f(e.body,r,a),r.push("end color "+o)}));break;case"color-token":break;case"delimsizing":e.delim&&"."!==e.delim&&b(e.delim,"normal",r);break;case"genfrac":h(r,(function(r){var t=e.leftDelim,o=e.rightDelim;e.hasBarLine?(r.push("start fraction"),t&&b(t,"open",r),f(e.numer,r,a),r.push("divided by"),f(e.denom,r,a),o&&b(o,"close",r),r.push("end fraction")):(r.push("start binomial"),t&&b(t,"open",r),f(e.numer,r,a),r.push("over"),f(e.denom,r,a),o&&b(o,"close",r),r.push("end binomial"))}));break;case"hbox":f(e.body,r,a);break;case"kern":break;case"leftright":h(r,(function(r){b(e.left,"open",r),f(e.body,r,a),b(e.right,"close",r)}));break;case"leftright-right":break;case"lap":f(e.body,r,a);break;case"mathord":b(e.text,"normal",r);break;case"op":var n=e.body,s=e.name;n?f(n,r,a):s&&b(s,"normal",r);break;case"op-token":b(e.text,a,r);break;case"ordgroup":f(e.body,r,a);break;case"overline":h(r,(function(r){r.push("start overline"),f(e.body,r,a),r.push("end overline")}));break;case"pmb":r.push("bold");break;case"phantom":r.push("empty space");break;case"raisebox":f(e.body,r,a);break;case"rule":r.push("rectangle");break;case"sizing":f(e.body,r,a);break;case"spacing":r.push("space");break;case"styling":f(e.body,r,a);break;case"sqrt":h(r,(function(r){var t=e.body,o=e.index;if(o)return"3"===y(f(o,[],a)).join(",")?(r.push("cube root of"),f(t,r,a),void r.push("end cube root")):(r.push("root"),r.push("start index"),f(o,r,a),void r.push("end index"));r.push("square root of"),f(t,r,a),r.push("end square root")}));break;case"supsub":var l=e.base,c=e.sub,u=e.sup,p=!1;if(l&&(f(l,r,a),p="op"===l.type&&"\\log"===l.name),c){var m=p?"base":"subscript";h(r,(function(e){e.push("start "+m),f(c,e,a),e.push("end "+m)}))}u&&h(r,(function(e){var r=y(f(u,[],a)).join(",");r in i?e.push(i[r]):(e.push("start superscript"),f(u,e,a),e.push("end superscript"))}));break;case"text":if("\\textbf"===e.font){h(r,(function(r){r.push("start bold text"),f(e.body,r,a),r.push("end bold text")}));break}h(r,(function(r){r.push("start text"),f(e.body,r,a),r.push("end text")}));break;case"textord":b(e.text,a,r);break;case"smash":f(e.body,r,a);break;case"enclose":if(/cancel/.test(e.label)){h(r,(function(r){r.push("start cancel"),f(e.body,r,a),r.push("end cancel")}));break}if(/box/.test(e.label)){h(r,(function(r){r.push("start box"),f(e.body,r,a),r.push("end box")}));break}if(/sout/.test(e.label)){h(r,(function(r){r.push("start strikeout"),f(e.body,r,a),r.push("end strikeout")}));break}if(/phase/.test(e.label)){h(r,(function(r){r.push("start phase angle"),f(e.body,r,a),r.push("end phase angle")}));break}throw new Error("KaTeX-a11y: enclose node with "+e.label+" not supported yet");case"vcenter":f(e.body,r,a);break;case"vphantom":throw new Error("KaTeX-a11y: vphantom not implemented yet");case"hphantom":throw new Error("KaTeX-a11y: hphantom not implemented yet");case"operatorname":f(e.body,r,a);break;case"array":throw new Error("KaTeX-a11y: array not implemented yet");case"raw":throw new Error("KaTeX-a11y: raw not implemented yet");case"size":break;case"url":throw new Error("KaTeX-a11y: url not implemented yet");case"tag":throw new Error("KaTeX-a11y: tag not implemented yet");case"verb":b("start verbatim","normal",r),b(e.body,"normal",r),b("end verbatim","normal",r);break;case"environment":throw new Error("KaTeX-a11y: environment not implemented yet");case"horizBrace":b("start "+e.label.slice(1),"normal",r),f(e.base,r,a),b("end "+e.label.slice(1),"normal",r);break;case"infix":break;case"includegraphics":throw new Error("KaTeX-a11y: includegraphics not implemented yet");case"font":f(e.body,r,a);break;case"href":throw new Error("KaTeX-a11y: href not implemented yet");case"cr":throw new Error("KaTeX-a11y: cr not implemented yet");case"underline":h(r,(function(r){r.push("start underline"),f(e.body,r,a),r.push("end underline")}));break;case"xArrow":throw new Error("KaTeX-a11y: xArrow not implemented yet");case"cdlabel":throw new Error("KaTeX-a11y: cdlabel not implemented yet");case"cdlabelparent":throw new Error("KaTeX-a11y: cdlabelparent not implemented yet");case"mclass":var w=e.mclass.slice(1);f(e.body,r,w);break;case"mathchoice":f(e.text,r,a);break;case"htmlmathml":f(e.mathml,r,a);break;case"middle":b(e.delim,a,r);break;case"internal":break;case"html":f(e.body,r,a);break;default:throw e.type,new Error("KaTeX a11y un-recognized type: "+e.type)}},f=function e(r,a,t){if(void 0===a&&(a=[]),r instanceof Array)for(var o=0;o "start fraction, 1, divided by, 2, end fraction" + * + * However, other cases do not: + * renderA11yString("f(x) = x^2") + * -> "f, left parenthesis, x, right parenthesis, equals, x, squared" + * + * The commas in the string aim to increase ease of understanding + * when read by a screenreader. + */ +var stringMap = { + "(": "left parenthesis", + ")": "right parenthesis", + "[": "open bracket", + "]": "close bracket", + "\\{": "left brace", + "\\}": "right brace", + "\\lvert": "open vertical bar", + "\\rvert": "close vertical bar", + "|": "vertical bar", + "\\uparrow": "up arrow", + "\\Uparrow": "up arrow", + "\\downarrow": "down arrow", + "\\Downarrow": "down arrow", + "\\updownarrow": "up down arrow", + "\\leftarrow": "left arrow", + "\\Leftarrow": "left arrow", + "\\rightarrow": "right arrow", + "\\Rightarrow": "right arrow", + "\\langle": "open angle", + "\\rangle": "close angle", + "\\lfloor": "open floor", + "\\rfloor": "close floor", + "\\int": "integral", + "\\intop": "integral", + "\\lim": "limit", + "\\ln": "natural log", + "\\log": "log", + "\\sin": "sine", + "\\cos": "cosine", + "\\tan": "tangent", + "\\cot": "cotangent", + "\\sum": "sum", + "/": "slash", + ",": "comma", + ".": "point", + "-": "negative", + "+": "plus", + "~": "tilde", + ":": "colon", + "?": "question mark", + "'": "apostrophe", + "\\%": "percent", + " ": "space", + "\\ ": "space", + "\\$": "dollar sign", + "\\angle": "angle", + "\\degree": "degree", + "\\circ": "circle", + "\\vec": "vector", + "\\triangle": "triangle", + "\\pi": "pi", + "\\prime": "prime", + "\\infty": "infinity", + "\\alpha": "alpha", + "\\beta": "beta", + "\\gamma": "gamma", + "\\omega": "omega", + "\\theta": "theta", + "\\sigma": "sigma", + "\\lambda": "lambda", + "\\tau": "tau", + "\\Delta": "delta", + "\\delta": "delta", + "\\mu": "mu", + "\\rho": "rho", + "\\nabla": "del", + "\\ell": "ell", + "\\ldots": "dots", + // TODO: add entries for all accents + "\\hat": "hat", + "\\acute": "acute" +}; +var powerMap = { + "prime": "prime", + "degree": "degrees", + "circle": "degrees", + "2": "squared", + "3": "cubed" +}; +var openMap = { + "|": "open vertical bar", + ".": "" +}; +var closeMap = { + "|": "close vertical bar", + ".": "" +}; +var binMap = { + "+": "plus", + "-": "minus", + "\\pm": "plus minus", + "\\cdot": "dot", + "*": "times", + "/": "divided by", + "\\times": "times", + "\\div": "divided by", + "\\circ": "circle", + "\\bullet": "bullet" +}; +var relMap = { + "=": "equals", + "\\approx": "approximately equals", + "≠": "does not equal", + "\\geq": "is greater than or equal to", + "\\ge": "is greater than or equal to", + "\\leq": "is less than or equal to", + "\\le": "is less than or equal to", + ">": "is greater than", + "<": "is less than", + "\\leftarrow": "left arrow", + "\\Leftarrow": "left arrow", + "\\rightarrow": "right arrow", + "\\Rightarrow": "right arrow", + ":": "colon" +}; +var accentUnderMap = { + "\\underleftarrow": "left arrow", + "\\underrightarrow": "right arrow", + "\\underleftrightarrow": "left-right arrow", + "\\undergroup": "group", + "\\underlinesegment": "line segment", + "\\utilde": "tilde" +}; + +var buildString = (str, type, a11yStrings) => { + if (!str) { + return; + } + + var ret; + + if (type === "open") { + ret = str in openMap ? openMap[str] : stringMap[str] || str; + } else if (type === "close") { + ret = str in closeMap ? closeMap[str] : stringMap[str] || str; + } else if (type === "bin") { + ret = binMap[str] || str; + } else if (type === "rel") { + ret = relMap[str] || str; + } else { + ret = stringMap[str] || str; + } // If the text to add is a number and there is already a string + // in the list and the last string is a number then we should + // combine them into a single number + + + if (/^\d+$/.test(ret) && a11yStrings.length > 0 && // TODO(kevinb): check that the last item in a11yStrings is a string + // I think we might be able to drop the nested arrays, which would make + // this easier to type + // $FlowFixMe + /^\d+$/.test(a11yStrings[a11yStrings.length - 1])) { + a11yStrings[a11yStrings.length - 1] += ret; + } else if (ret) { + a11yStrings.push(ret); + } +}; + +var buildRegion = (a11yStrings, callback) => { + var regionStrings = []; + a11yStrings.push(regionStrings); + callback(regionStrings); +}; + +var handleObject = (tree, a11yStrings, atomType) => { + // Everything else is assumed to be an object... + switch (tree.type) { + case "accent": + { + buildRegion(a11yStrings, a11yStrings => { + buildA11yStrings(tree.base, a11yStrings, atomType); + a11yStrings.push("with"); + buildString(tree.label, "normal", a11yStrings); + a11yStrings.push("on top"); + }); + break; + } + + case "accentUnder": + { + buildRegion(a11yStrings, a11yStrings => { + buildA11yStrings(tree.base, a11yStrings, atomType); + a11yStrings.push("with"); + buildString(accentUnderMap[tree.label], "normal", a11yStrings); + a11yStrings.push("underneath"); + }); + break; + } + + case "accent-token": + { + // Used internally by accent symbols. + break; + } + + case "atom": + { + var { + text + } = tree; + + switch (tree.family) { + case "bin": + { + buildString(text, "bin", a11yStrings); + break; + } + + case "close": + { + buildString(text, "close", a11yStrings); + break; + } + // TODO(kevinb): figure out what should be done for inner + + case "inner": + { + buildString(tree.text, "inner", a11yStrings); + break; + } + + case "open": + { + buildString(text, "open", a11yStrings); + break; + } + + case "punct": + { + buildString(text, "punct", a11yStrings); + break; + } + + case "rel": + { + buildString(text, "rel", a11yStrings); + break; + } + + default: + { + tree.family; + throw new Error("\"" + tree.family + "\" is not a valid atom type"); + } + } + + break; + } + + case "color": + { + var color = tree.color.replace(/katex-/, ""); + buildRegion(a11yStrings, regionStrings => { + regionStrings.push("start color " + color); + buildA11yStrings(tree.body, regionStrings, atomType); + regionStrings.push("end color " + color); + }); + break; + } + + case "color-token": + { + // Used by \color, \colorbox, and \fcolorbox but not directly rendered. + // It's a leaf node and has no children so just break. + break; + } + + case "delimsizing": + { + if (tree.delim && tree.delim !== ".") { + buildString(tree.delim, "normal", a11yStrings); + } + + break; + } + + case "genfrac": + { + buildRegion(a11yStrings, regionStrings => { + // genfrac can have unbalanced delimiters + var { + leftDelim, + rightDelim + } = tree; // NOTE: Not sure if this is a safe assumption + // hasBarLine true -> fraction, false -> binomial + + if (tree.hasBarLine) { + regionStrings.push("start fraction"); + leftDelim && buildString(leftDelim, "open", regionStrings); + buildA11yStrings(tree.numer, regionStrings, atomType); + regionStrings.push("divided by"); + buildA11yStrings(tree.denom, regionStrings, atomType); + rightDelim && buildString(rightDelim, "close", regionStrings); + regionStrings.push("end fraction"); + } else { + regionStrings.push("start binomial"); + leftDelim && buildString(leftDelim, "open", regionStrings); + buildA11yStrings(tree.numer, regionStrings, atomType); + regionStrings.push("over"); + buildA11yStrings(tree.denom, regionStrings, atomType); + rightDelim && buildString(rightDelim, "close", regionStrings); + regionStrings.push("end binomial"); + } + }); + break; + } + + case "hbox": + { + buildA11yStrings(tree.body, a11yStrings, atomType); + break; + } + + case "kern": + { + // No op: we don't attempt to present kerning information + // to the screen reader. + break; + } + + case "leftright": + { + buildRegion(a11yStrings, regionStrings => { + buildString(tree.left, "open", regionStrings); + buildA11yStrings(tree.body, regionStrings, atomType); + buildString(tree.right, "close", regionStrings); + }); + break; + } + + case "leftright-right": + { + // TODO: double check that this is a no-op + break; + } + + case "lap": + { + buildA11yStrings(tree.body, a11yStrings, atomType); + break; + } + + case "mathord": + { + buildString(tree.text, "normal", a11yStrings); + break; + } + + case "op": + { + var { + body, + name + } = tree; + + if (body) { + buildA11yStrings(body, a11yStrings, atomType); + } else if (name) { + buildString(name, "normal", a11yStrings); + } + + break; + } + + case "op-token": + { + // Used internally by operator symbols. + buildString(tree.text, atomType, a11yStrings); + break; + } + + case "ordgroup": + { + buildA11yStrings(tree.body, a11yStrings, atomType); + break; + } + + case "overline": + { + buildRegion(a11yStrings, function (a11yStrings) { + a11yStrings.push("start overline"); + buildA11yStrings(tree.body, a11yStrings, atomType); + a11yStrings.push("end overline"); + }); + break; + } + + case "pmb": + { + a11yStrings.push("bold"); + break; + } + + case "phantom": + { + a11yStrings.push("empty space"); + break; + } + + case "raisebox": + { + buildA11yStrings(tree.body, a11yStrings, atomType); + break; + } + + case "rule": + { + a11yStrings.push("rectangle"); + break; + } + + case "sizing": + { + buildA11yStrings(tree.body, a11yStrings, atomType); + break; + } + + case "spacing": + { + a11yStrings.push("space"); + break; + } + + case "styling": + { + // We ignore the styling and just pass through the contents + buildA11yStrings(tree.body, a11yStrings, atomType); + break; + } + + case "sqrt": + { + buildRegion(a11yStrings, regionStrings => { + var { + body, + index + } = tree; + + if (index) { + var indexString = flatten(buildA11yStrings(index, [], atomType)).join(","); + + if (indexString === "3") { + regionStrings.push("cube root of"); + buildA11yStrings(body, regionStrings, atomType); + regionStrings.push("end cube root"); + return; + } + + regionStrings.push("root"); + regionStrings.push("start index"); + buildA11yStrings(index, regionStrings, atomType); + regionStrings.push("end index"); + return; + } + + regionStrings.push("square root of"); + buildA11yStrings(body, regionStrings, atomType); + regionStrings.push("end square root"); + }); + break; + } + + case "supsub": + { + var { + base, + sub, + sup + } = tree; + var isLog = false; + + if (base) { + buildA11yStrings(base, a11yStrings, atomType); + isLog = base.type === "op" && base.name === "\\log"; + } + + if (sub) { + var regionName = isLog ? "base" : "subscript"; + buildRegion(a11yStrings, function (regionStrings) { + regionStrings.push("start " + regionName); + buildA11yStrings(sub, regionStrings, atomType); + regionStrings.push("end " + regionName); + }); + } + + if (sup) { + buildRegion(a11yStrings, function (regionStrings) { + var supString = flatten(buildA11yStrings(sup, [], atomType)).join(","); + + if (supString in powerMap) { + regionStrings.push(powerMap[supString]); + return; + } + + regionStrings.push("start superscript"); + buildA11yStrings(sup, regionStrings, atomType); + regionStrings.push("end superscript"); + }); + } + + break; + } + + case "text": + { + // TODO: handle other fonts + if (tree.font === "\\textbf") { + buildRegion(a11yStrings, function (regionStrings) { + regionStrings.push("start bold text"); + buildA11yStrings(tree.body, regionStrings, atomType); + regionStrings.push("end bold text"); + }); + break; + } + + buildRegion(a11yStrings, function (regionStrings) { + regionStrings.push("start text"); + buildA11yStrings(tree.body, regionStrings, atomType); + regionStrings.push("end text"); + }); + break; + } + + case "textord": + { + buildString(tree.text, atomType, a11yStrings); + break; + } + + case "smash": + { + buildA11yStrings(tree.body, a11yStrings, atomType); + break; + } + + case "enclose": + { + // TODO: create a map for these. + // TODO: differentiate between a body with a single atom, e.g. + // "cancel a" instead of "start cancel, a, end cancel" + if (/cancel/.test(tree.label)) { + buildRegion(a11yStrings, function (regionStrings) { + regionStrings.push("start cancel"); + buildA11yStrings(tree.body, regionStrings, atomType); + regionStrings.push("end cancel"); + }); + break; + } else if (/box/.test(tree.label)) { + buildRegion(a11yStrings, function (regionStrings) { + regionStrings.push("start box"); + buildA11yStrings(tree.body, regionStrings, atomType); + regionStrings.push("end box"); + }); + break; + } else if (/sout/.test(tree.label)) { + buildRegion(a11yStrings, function (regionStrings) { + regionStrings.push("start strikeout"); + buildA11yStrings(tree.body, regionStrings, atomType); + regionStrings.push("end strikeout"); + }); + break; + } else if (/phase/.test(tree.label)) { + buildRegion(a11yStrings, function (regionStrings) { + regionStrings.push("start phase angle"); + buildA11yStrings(tree.body, regionStrings, atomType); + regionStrings.push("end phase angle"); + }); + break; + } + + throw new Error("KaTeX-a11y: enclose node with " + tree.label + " not supported yet"); + } + + case "vcenter": + { + buildA11yStrings(tree.body, a11yStrings, atomType); + break; + } + + case "vphantom": + { + throw new Error("KaTeX-a11y: vphantom not implemented yet"); + } + + case "hphantom": + { + throw new Error("KaTeX-a11y: hphantom not implemented yet"); + } + + case "operatorname": + { + buildA11yStrings(tree.body, a11yStrings, atomType); + break; + } + + case "array": + { + throw new Error("KaTeX-a11y: array not implemented yet"); + } + + case "raw": + { + throw new Error("KaTeX-a11y: raw not implemented yet"); + } + + case "size": + { + // Although there are nodes of type "size" in the parse tree, they have + // no semantic meaning and should be ignored. + break; + } + + case "url": + { + throw new Error("KaTeX-a11y: url not implemented yet"); + } + + case "tag": + { + throw new Error("KaTeX-a11y: tag not implemented yet"); + } + + case "verb": + { + buildString("start verbatim", "normal", a11yStrings); + buildString(tree.body, "normal", a11yStrings); + buildString("end verbatim", "normal", a11yStrings); + break; + } + + case "environment": + { + throw new Error("KaTeX-a11y: environment not implemented yet"); + } + + case "horizBrace": + { + buildString("start " + tree.label.slice(1), "normal", a11yStrings); + buildA11yStrings(tree.base, a11yStrings, atomType); + buildString("end " + tree.label.slice(1), "normal", a11yStrings); + break; + } + + case "infix": + { + // All infix nodes are replace with other nodes. + break; + } + + case "includegraphics": + { + throw new Error("KaTeX-a11y: includegraphics not implemented yet"); + } + + case "font": + { + // TODO: callout the start/end of specific fonts + // TODO: map \BBb{N} to "the naturals" or something like that + buildA11yStrings(tree.body, a11yStrings, atomType); + break; + } + + case "href": + { + throw new Error("KaTeX-a11y: href not implemented yet"); + } + + case "cr": + { + // This is used by environments. + throw new Error("KaTeX-a11y: cr not implemented yet"); + } + + case "underline": + { + buildRegion(a11yStrings, function (a11yStrings) { + a11yStrings.push("start underline"); + buildA11yStrings(tree.body, a11yStrings, atomType); + a11yStrings.push("end underline"); + }); + break; + } + + case "xArrow": + { + throw new Error("KaTeX-a11y: xArrow not implemented yet"); + } + + case "cdlabel": + { + throw new Error("KaTeX-a11y: cdlabel not implemented yet"); + } + + case "cdlabelparent": + { + throw new Error("KaTeX-a11y: cdlabelparent not implemented yet"); + } + + case "mclass": + { + // \neq and \ne are macros so we let "htmlmathml" render the mathmal + // side of things and extract the text from that. + var _atomType = tree.mclass.slice(1); // $FlowFixMe: drop the leading "m" from the values in mclass + + + buildA11yStrings(tree.body, a11yStrings, _atomType); + break; + } + + case "mathchoice": + { + // TODO: track which which style we're using, e.g. dispaly, text, etc. + // default to text style if even that may not be the correct style + buildA11yStrings(tree.text, a11yStrings, atomType); + break; + } + + case "htmlmathml": + { + buildA11yStrings(tree.mathml, a11yStrings, atomType); + break; + } + + case "middle": + { + buildString(tree.delim, atomType, a11yStrings); + break; + } + + case "internal": + { + // internal nodes are never included in the parse tree + break; + } + + case "html": + { + buildA11yStrings(tree.body, a11yStrings, atomType); + break; + } + + default: + tree.type; + throw new Error("KaTeX a11y un-recognized type: " + tree.type); + } +}; + +var buildA11yStrings = function buildA11yStrings(tree, a11yStrings, atomType) { + if (a11yStrings === void 0) { + a11yStrings = []; + } + + if (tree instanceof Array) { + for (var i = 0; i < tree.length; i++) { + buildA11yStrings(tree[i], a11yStrings, atomType); + } + } else { + handleObject(tree, a11yStrings, atomType); + } + + return a11yStrings; +}; + +var flatten = function flatten(array) { + var result = []; + array.forEach(function (item) { + if (item instanceof Array) { + result = result.concat(flatten(item)); + } else { + result.push(item); + } + }); + return result; +}; + +var renderA11yString = function renderA11yString(text, settings) { + var tree = katex.__parse(text, settings); + + var a11yStrings = buildA11yStrings(tree, [], "normal"); + return flatten(a11yStrings).join(", "); +}; + +export { renderA11yString as default }; diff --git a/katex/fonts/KaTeX_AMS-Regular.ttf b/katex/fonts/KaTeX_AMS-Regular.ttf new 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normal; +} +@font-face { + font-family: 'KaTeX_Caligraphic'; + src: url(fonts/KaTeX_Caligraphic-Bold.woff2) format('woff2'), url(fonts/KaTeX_Caligraphic-Bold.woff) format('woff'), url(fonts/KaTeX_Caligraphic-Bold.ttf) format('truetype'); + font-weight: bold; + font-style: normal; +} +@font-face { + font-family: 'KaTeX_Caligraphic'; + src: url(fonts/KaTeX_Caligraphic-Regular.woff2) format('woff2'), url(fonts/KaTeX_Caligraphic-Regular.woff) format('woff'), url(fonts/KaTeX_Caligraphic-Regular.ttf) format('truetype'); + font-weight: normal; + font-style: normal; +} +@font-face { + font-family: 'KaTeX_Fraktur'; + src: url(fonts/KaTeX_Fraktur-Bold.woff2) format('woff2'), url(fonts/KaTeX_Fraktur-Bold.woff) format('woff'), url(fonts/KaTeX_Fraktur-Bold.ttf) format('truetype'); + font-weight: bold; + font-style: normal; +} +@font-face { + font-family: 'KaTeX_Fraktur'; + src: url(fonts/KaTeX_Fraktur-Regular.woff2) format('woff2'), url(fonts/KaTeX_Fraktur-Regular.woff) format('woff'), url(fonts/KaTeX_Fraktur-Regular.ttf) format('truetype'); + font-weight: normal; + font-style: normal; +} +@font-face { + font-family: 'KaTeX_Main'; + src: url(fonts/KaTeX_Main-Bold.woff2) format('woff2'), url(fonts/KaTeX_Main-Bold.woff) format('woff'), url(fonts/KaTeX_Main-Bold.ttf) format('truetype'); + font-weight: bold; + font-style: normal; +} +@font-face { + font-family: 'KaTeX_Main'; + src: url(fonts/KaTeX_Main-BoldItalic.woff2) format('woff2'), url(fonts/KaTeX_Main-BoldItalic.woff) format('woff'), url(fonts/KaTeX_Main-BoldItalic.ttf) format('truetype'); + font-weight: bold; + font-style: italic; +} +@font-face { + font-family: 'KaTeX_Main'; + src: url(fonts/KaTeX_Main-Italic.woff2) format('woff2'), url(fonts/KaTeX_Main-Italic.woff) format('woff'), url(fonts/KaTeX_Main-Italic.ttf) format('truetype'); + font-weight: normal; + font-style: italic; +} +@font-face { + font-family: 'KaTeX_Main'; + src: url(fonts/KaTeX_Main-Regular.woff2) format('woff2'), url(fonts/KaTeX_Main-Regular.woff) format('woff'), url(fonts/KaTeX_Main-Regular.ttf) format('truetype'); + font-weight: normal; + font-style: normal; +} +@font-face { + font-family: 'KaTeX_Math'; + src: url(fonts/KaTeX_Math-BoldItalic.woff2) format('woff2'), url(fonts/KaTeX_Math-BoldItalic.woff) format('woff'), url(fonts/KaTeX_Math-BoldItalic.ttf) format('truetype'); + font-weight: bold; + font-style: italic; +} +@font-face { + font-family: 'KaTeX_Math'; + src: url(fonts/KaTeX_Math-Italic.woff2) format('woff2'), url(fonts/KaTeX_Math-Italic.woff) format('woff'), url(fonts/KaTeX_Math-Italic.ttf) format('truetype'); + font-weight: normal; + font-style: italic; +} +@font-face { + font-family: 'KaTeX_SansSerif'; + src: url(fonts/KaTeX_SansSerif-Bold.woff2) format('woff2'), url(fonts/KaTeX_SansSerif-Bold.woff) format('woff'), url(fonts/KaTeX_SansSerif-Bold.ttf) format('truetype'); + font-weight: bold; + font-style: normal; +} +@font-face { + font-family: 'KaTeX_SansSerif'; + src: url(fonts/KaTeX_SansSerif-Italic.woff2) format('woff2'), url(fonts/KaTeX_SansSerif-Italic.woff) format('woff'), url(fonts/KaTeX_SansSerif-Italic.ttf) format('truetype'); + font-weight: normal; + font-style: italic; +} +@font-face { + font-family: 'KaTeX_SansSerif'; + src: url(fonts/KaTeX_SansSerif-Regular.woff2) format('woff2'), url(fonts/KaTeX_SansSerif-Regular.woff) format('woff'), url(fonts/KaTeX_SansSerif-Regular.ttf) format('truetype'); + font-weight: normal; + font-style: normal; +} +@font-face { + font-family: 'KaTeX_Script'; + src: url(fonts/KaTeX_Script-Regular.woff2) format('woff2'), url(fonts/KaTeX_Script-Regular.woff) format('woff'), url(fonts/KaTeX_Script-Regular.ttf) format('truetype'); + font-weight: normal; + font-style: normal; +} +@font-face { + font-family: 'KaTeX_Size1'; + src: url(fonts/KaTeX_Size1-Regular.woff2) format('woff2'), url(fonts/KaTeX_Size1-Regular.woff) format('woff'), url(fonts/KaTeX_Size1-Regular.ttf) format('truetype'); + font-weight: normal; + font-style: normal; +} +@font-face { + font-family: 'KaTeX_Size2'; + src: url(fonts/KaTeX_Size2-Regular.woff2) format('woff2'), url(fonts/KaTeX_Size2-Regular.woff) format('woff'), url(fonts/KaTeX_Size2-Regular.ttf) format('truetype'); + font-weight: normal; + font-style: normal; +} +@font-face { + font-family: 'KaTeX_Size3'; + src: url(fonts/KaTeX_Size3-Regular.woff2) format('woff2'), url(fonts/KaTeX_Size3-Regular.woff) format('woff'), url(fonts/KaTeX_Size3-Regular.ttf) format('truetype'); + font-weight: normal; + font-style: normal; +} +@font-face { + font-family: 'KaTeX_Size4'; + src: url(fonts/KaTeX_Size4-Regular.woff2) format('woff2'), url(fonts/KaTeX_Size4-Regular.woff) format('woff'), url(fonts/KaTeX_Size4-Regular.ttf) format('truetype'); + font-weight: normal; + font-style: normal; +} +@font-face { + font-family: 'KaTeX_Typewriter'; + src: url(fonts/KaTeX_Typewriter-Regular.woff2) format('woff2'), url(fonts/KaTeX_Typewriter-Regular.woff) format('woff'), url(fonts/KaTeX_Typewriter-Regular.ttf) format('truetype'); + font-weight: normal; + font-style: normal; +} +.katex { + font: normal 1.21em KaTeX_Main, Times New Roman, serif; + line-height: 1.2; + text-indent: 0; + text-rendering: auto; +} +.katex * { + -ms-high-contrast-adjust: none !important; + border-color: currentColor; +} +.katex .katex-version::after { + content: "0.16.4"; +} +.katex .katex-mathml { + /* Accessibility hack to only show to screen readers + Found at: http://a11yproject.com/posts/how-to-hide-content/ */ + position: absolute; + clip: rect(1px, 1px, 1px, 1px); + padding: 0; + border: 0; + height: 1px; + width: 1px; + overflow: hidden; +} +.katex .katex-html { + /* \newline is an empty block at top level, between .base elements */ +} +.katex .katex-html > .newline { + display: block; +} +.katex .base { + position: relative; + display: inline-block; + white-space: nowrap; + width: -webkit-min-content; + width: -moz-min-content; + width: min-content; +} +.katex .strut { + display: inline-block; +} +.katex .textbf { + font-weight: bold; +} +.katex .textit { + font-style: italic; +} +.katex .textrm { + font-family: KaTeX_Main; +} +.katex .textsf { + font-family: KaTeX_SansSerif; +} +.katex .texttt { + font-family: KaTeX_Typewriter; +} +.katex .mathnormal { + font-family: KaTeX_Math; + font-style: italic; +} +.katex .mathit { + font-family: KaTeX_Main; + font-style: italic; +} +.katex .mathrm { + font-style: normal; +} +.katex .mathbf { + font-family: KaTeX_Main; + font-weight: bold; +} +.katex .boldsymbol { + font-family: KaTeX_Math; + font-weight: bold; + font-style: italic; +} +.katex .amsrm { + font-family: KaTeX_AMS; +} +.katex .mathbb, +.katex .textbb { + font-family: KaTeX_AMS; +} +.katex .mathcal { + font-family: KaTeX_Caligraphic; +} +.katex .mathfrak, +.katex .textfrak { + font-family: KaTeX_Fraktur; +} +.katex .mathtt { + font-family: KaTeX_Typewriter; +} +.katex .mathscr, +.katex .textscr { + font-family: KaTeX_Script; +} +.katex .mathsf, 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align-items: baseline; +} +.katex .hbox { + display: inline-flex; + flex-direction: row; + width: 100%; +} +.katex .thinbox { + display: inline-flex; + flex-direction: row; + width: 0; + max-width: 0; +} +.katex .msupsub { + text-align: left; +} +.katex .mfrac > span > span { + text-align: center; +} +.katex .mfrac .frac-line { + display: inline-block; + width: 100%; + border-bottom-style: solid; +} +.katex .mfrac .frac-line, +.katex .overline .overline-line, +.katex .underline .underline-line, +.katex .hline, +.katex .hdashline, +.katex .rule { + min-height: 1px; +} +.katex .mspace { + display: inline-block; +} +.katex .llap, +.katex .rlap, +.katex .clap { + width: 0; + position: relative; +} +.katex .llap > .inner, +.katex .rlap > .inner, +.katex .clap > .inner { + position: absolute; +} +.katex .llap > .fix, +.katex .rlap > .fix, +.katex .clap > .fix { + display: inline-block; +} +.katex .llap > .inner { + right: 0; +} +.katex .rlap > .inner, +.katex .clap > .inner { + left: 0; +} 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+} +.katex .sizing.reset-size8.size2, +.katex .fontsize-ensurer.reset-size8.size2 { + font-size: 0.41666667em; +} +.katex .sizing.reset-size8.size3, +.katex .fontsize-ensurer.reset-size8.size3 { + font-size: 0.48611111em; +} +.katex .sizing.reset-size8.size4, +.katex .fontsize-ensurer.reset-size8.size4 { + font-size: 0.55555556em; +} +.katex .sizing.reset-size8.size5, +.katex .fontsize-ensurer.reset-size8.size5 { + font-size: 0.625em; +} +.katex .sizing.reset-size8.size6, +.katex .fontsize-ensurer.reset-size8.size6 { + font-size: 0.69444444em; +} +.katex .sizing.reset-size8.size7, +.katex .fontsize-ensurer.reset-size8.size7 { + font-size: 0.83333333em; +} +.katex .sizing.reset-size8.size8, +.katex .fontsize-ensurer.reset-size8.size8 { + font-size: 1em; +} +.katex .sizing.reset-size8.size9, +.katex .fontsize-ensurer.reset-size8.size9 { + font-size: 1.2em; +} +.katex .sizing.reset-size8.size10, +.katex .fontsize-ensurer.reset-size8.size10 { + font-size: 1.44027778em; +} +.katex 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.sizing.reset-size9.size9, +.katex .fontsize-ensurer.reset-size9.size9 { + font-size: 1em; +} +.katex .sizing.reset-size9.size10, +.katex .fontsize-ensurer.reset-size9.size10 { + font-size: 1.20023148em; +} +.katex .sizing.reset-size9.size11, +.katex .fontsize-ensurer.reset-size9.size11 { + font-size: 1.43981481em; +} +.katex .sizing.reset-size10.size1, +.katex .fontsize-ensurer.reset-size10.size1 { + font-size: 0.24108004em; +} +.katex .sizing.reset-size10.size2, +.katex .fontsize-ensurer.reset-size10.size2 { + font-size: 0.28929605em; +} +.katex .sizing.reset-size10.size3, +.katex .fontsize-ensurer.reset-size10.size3 { + font-size: 0.33751205em; +} +.katex .sizing.reset-size10.size4, +.katex .fontsize-ensurer.reset-size10.size4 { + font-size: 0.38572806em; +} +.katex .sizing.reset-size10.size5, +.katex .fontsize-ensurer.reset-size10.size5 { + font-size: 0.43394407em; +} +.katex .sizing.reset-size10.size6, +.katex .fontsize-ensurer.reset-size10.size6 { + font-size: 0.48216008em; +} +.katex .sizing.reset-size10.size7, +.katex .fontsize-ensurer.reset-size10.size7 { + font-size: 0.57859209em; +} +.katex .sizing.reset-size10.size8, +.katex .fontsize-ensurer.reset-size10.size8 { + font-size: 0.69431051em; +} +.katex .sizing.reset-size10.size9, +.katex .fontsize-ensurer.reset-size10.size9 { + font-size: 0.83317261em; +} +.katex .sizing.reset-size10.size10, +.katex .fontsize-ensurer.reset-size10.size10 { + font-size: 1em; +} +.katex .sizing.reset-size10.size11, +.katex .fontsize-ensurer.reset-size10.size11 { + font-size: 1.19961427em; +} +.katex .sizing.reset-size11.size1, +.katex .fontsize-ensurer.reset-size11.size1 { + font-size: 0.20096463em; +} +.katex .sizing.reset-size11.size2, +.katex .fontsize-ensurer.reset-size11.size2 { + font-size: 0.24115756em; +} +.katex .sizing.reset-size11.size3, +.katex .fontsize-ensurer.reset-size11.size3 { + font-size: 0.28135048em; +} +.katex .sizing.reset-size11.size4, +.katex .fontsize-ensurer.reset-size11.size4 { + font-size: 0.32154341em; +} +.katex .sizing.reset-size11.size5, +.katex .fontsize-ensurer.reset-size11.size5 { + font-size: 0.36173633em; +} +.katex .sizing.reset-size11.size6, +.katex .fontsize-ensurer.reset-size11.size6 { + font-size: 0.40192926em; +} +.katex .sizing.reset-size11.size7, +.katex .fontsize-ensurer.reset-size11.size7 { + font-size: 0.48231511em; +} +.katex .sizing.reset-size11.size8, +.katex .fontsize-ensurer.reset-size11.size8 { + font-size: 0.57877814em; +} +.katex .sizing.reset-size11.size9, +.katex .fontsize-ensurer.reset-size11.size9 { + font-size: 0.69453376em; +} +.katex .sizing.reset-size11.size10, +.katex .fontsize-ensurer.reset-size11.size10 { + font-size: 0.83360129em; +} +.katex .sizing.reset-size11.size11, +.katex .fontsize-ensurer.reset-size11.size11 { + font-size: 1em; +} +.katex .delimsizing.size1 { + font-family: KaTeX_Size1; +} +.katex .delimsizing.size2 { + font-family: KaTeX_Size2; +} +.katex .delimsizing.size3 { + font-family: KaTeX_Size3; +} +.katex .delimsizing.size4 { + font-family: KaTeX_Size4; +} +.katex .delimsizing.mult .delim-size1 > span { + font-family: KaTeX_Size1; +} +.katex .delimsizing.mult .delim-size4 > span { + font-family: KaTeX_Size4; +} +.katex .nulldelimiter { + display: inline-block; + width: 0.12em; +} +.katex .delimcenter { + position: relative; +} +.katex .op-symbol { + position: relative; +} +.katex .op-symbol.small-op { + font-family: KaTeX_Size1; +} +.katex .op-symbol.large-op { + font-family: KaTeX_Size2; +} +.katex .op-limits > .vlist-t { + text-align: center; +} +.katex .accent > .vlist-t { + text-align: center; +} +.katex .accent .accent-body { + position: relative; +} +.katex .accent .accent-body:not(.accent-full) { + width: 0; +} +.katex .overlay { + display: block; +} +.katex .mtable .vertical-separator { + display: inline-block; + min-width: 1px; +} +.katex .mtable .arraycolsep { + display: inline-block; +} +.katex .mtable .col-align-c > .vlist-t { + text-align: center; +} +.katex .mtable .col-align-l > .vlist-t { + text-align: left; +} +.katex .mtable .col-align-r > .vlist-t { + text-align: right; +} +.katex .svg-align { + text-align: left; +} +.katex svg { + display: block; + position: absolute; + width: 100%; + height: inherit; + fill: currentColor; + stroke: currentColor; + fill-rule: nonzero; + fill-opacity: 1; + stroke-width: 1; + stroke-linecap: butt; + stroke-linejoin: miter; + stroke-miterlimit: 4; + stroke-dasharray: none; + stroke-dashoffset: 0; + stroke-opacity: 1; +} +.katex svg path { + stroke: none; +} +.katex img { + border-style: none; + min-width: 0; + min-height: 0; + max-width: none; + max-height: none; +} +.katex .stretchy { + width: 100%; + display: block; + position: relative; + overflow: hidden; +} +.katex .stretchy::before, +.katex .stretchy::after { + content: ""; +} +.katex .hide-tail { + width: 100%; + position: relative; + overflow: hidden; +} +.katex .halfarrow-left { + position: absolute; + left: 0; + width: 50.2%; + overflow: hidden; +} +.katex .halfarrow-right { + position: absolute; + right: 0; + width: 50.2%; + overflow: hidden; +} +.katex .brace-left { + position: absolute; + left: 0; + width: 25.1%; + overflow: hidden; +} +.katex .brace-center { + position: absolute; + left: 25%; + width: 50%; + overflow: hidden; +} +.katex .brace-right { + position: absolute; + right: 0; + width: 25.1%; + overflow: hidden; +} +.katex .x-arrow-pad { + padding: 0 0.5em; +} +.katex .cd-arrow-pad { + padding: 0 0.55556em 0 0.27778em; +} +.katex .x-arrow, +.katex .mover, +.katex .munder { + text-align: center; +} +.katex .boxpad { + padding: 0 0.3em; +} +.katex .fbox, +.katex .fcolorbox { + box-sizing: border-box; + border: 0.04em solid; +} +.katex .cancel-pad { + padding: 0 0.2em; +} +.katex .cancel-lap { + margin-left: -0.2em; + margin-right: -0.2em; +} +.katex .sout { + border-bottom-style: solid; + border-bottom-width: 0.08em; +} +.katex .angl { + box-sizing: border-box; + border-top: 0.049em solid; + border-right: 0.049em solid; + margin-right: 0.03889em; +} +.katex .anglpad { + padding: 0 0.03889em; +} +.katex .eqn-num::before { + counter-increment: katexEqnNo; + content: "(" counter(katexEqnNo) ")"; +} +.katex .mml-eqn-num::before { + counter-increment: mmlEqnNo; + content: "(" counter(mmlEqnNo) ")"; +} +.katex .mtr-glue { + width: 50%; +} +.katex .cd-vert-arrow { + display: inline-block; + position: relative; +} +.katex .cd-label-left { + display: inline-block; + position: absolute; + right: calc(50% + 0.3em); + text-align: left; +} +.katex .cd-label-right { + display: inline-block; + position: absolute; + left: calc(50% + 0.3em); + text-align: right; +} +.katex-display { + display: block; + margin: 1em 0; + text-align: center; +} +.katex-display > .katex { + display: block; + text-align: center; + white-space: nowrap; +} +.katex-display > .katex > .katex-html { + display: block; + position: relative; +} +.katex-display > .katex > .katex-html > .tag { + position: absolute; + right: 0; +} +.katex-display.leqno > .katex > .katex-html > .tag { + left: 0; + right: auto; +} +.katex-display.fleqn > .katex { + text-align: left; + padding-left: 2em; +} +body { + counter-reset: katexEqnNo mmlEqnNo; +} + diff --git a/katex/katex.js b/katex/katex.js new file mode 100644 index 0000000..c6d946e --- /dev/null +++ b/katex/katex.js @@ -0,0 +1,18798 @@ +(function webpackUniversalModuleDefinition(root, factory) { + if(typeof exports === 'object' && typeof module === 'object') + module.exports = factory(); + else if(typeof define === 'function' && define.amd) + define([], factory); + else if(typeof exports === 'object') + exports["katex"] = factory(); + else + root["katex"] = factory(); +})((typeof self !== 'undefined' ? self : this), function() { +return /******/ (function() { // webpackBootstrap +/******/ "use strict"; +/******/ // The require scope +/******/ var __webpack_require__ = {}; +/******/ +/************************************************************************/ +/******/ /* webpack/runtime/define property getters */ +/******/ !function() { +/******/ // define getter functions for harmony exports +/******/ __webpack_require__.d = function(exports, definition) { +/******/ for(var key in definition) { +/******/ if(__webpack_require__.o(definition, key) && !__webpack_require__.o(exports, key)) { +/******/ Object.defineProperty(exports, key, { enumerable: true, get: definition[key] }); +/******/ } +/******/ } +/******/ }; +/******/ }(); +/******/ +/******/ /* webpack/runtime/hasOwnProperty shorthand */ +/******/ !function() { +/******/ __webpack_require__.o = function(obj, prop) { return Object.prototype.hasOwnProperty.call(obj, prop); } +/******/ }(); +/******/ +/************************************************************************/ +var __webpack_exports__ = {}; + +// EXPORTS +__webpack_require__.d(__webpack_exports__, { + "default": function() { return /* binding */ katex_webpack; } +}); + +;// CONCATENATED MODULE: ./src/ParseError.js + + +/** + * This is the ParseError class, which is the main error thrown by KaTeX + * functions when something has gone wrong. This is used to distinguish internal + * errors from errors in the expression that the user provided. + * + * If possible, a caller should provide a Token or ParseNode with information + * about where in the source string the problem occurred. + */ +var ParseError = // Error position based on passed-in Token or ParseNode. +function ParseError(message, // The error message +token // An object providing position information +) { + this.position = void 0; + var error = "KaTeX parse error: " + message; + var start; + var loc = token && token.loc; + + if (loc && loc.start <= loc.end) { + // If we have the input and a position, make the error a bit fancier + // Get the input + var input = loc.lexer.input; // Prepend some information + + start = loc.start; + var end = loc.end; + + if (start === input.length) { + error += " at end of input: "; + } else { + error += " at position " + (start + 1) + ": "; + } // Underline token in question using combining underscores + + + var underlined = input.slice(start, end).replace(/[^]/g, "$&\u0332"); // Extract some context from the input and add it to the error + + var left; + + if (start > 15) { + left = "…" + input.slice(start - 15, start); + } else { + left = input.slice(0, start); + } + + var right; + + if (end + 15 < input.length) { + right = input.slice(end, end + 15) + "…"; + } else { + right = input.slice(end); + } + + error += left + underlined + right; + } // Some hackery to make ParseError a prototype of Error + // See http://stackoverflow.com/a/8460753 + + + var self = new Error(error); + self.name = "ParseError"; // $FlowFixMe + + self.__proto__ = ParseError.prototype; // $FlowFixMe + + self.position = start; + return self; +}; // $FlowFixMe More hackery + + +ParseError.prototype.__proto__ = Error.prototype; +/* harmony default export */ var src_ParseError = (ParseError); +;// CONCATENATED MODULE: ./src/utils.js +/** + * This file contains a list of utility functions which are useful in other + * files. + */ + +/** + * Return whether an element is contained in a list + */ +var contains = function contains(list, elem) { + return list.indexOf(elem) !== -1; +}; +/** + * Provide a default value if a setting is undefined + * NOTE: Couldn't use `T` as the output type due to facebook/flow#5022. + */ + + +var deflt = function deflt(setting, defaultIfUndefined) { + return setting === undefined ? defaultIfUndefined : setting; +}; // hyphenate and escape adapted from Facebook's React under Apache 2 license + + +var uppercase = /([A-Z])/g; + +var hyphenate = function hyphenate(str) { + return str.replace(uppercase, "-$1").toLowerCase(); +}; + +var ESCAPE_LOOKUP = { + "&": "&", + ">": ">", + "<": "<", + "\"": """, + "'": "'" +}; +var ESCAPE_REGEX = /[&><"']/g; +/** + * Escapes text to prevent scripting attacks. + */ + +function utils_escape(text) { + return String(text).replace(ESCAPE_REGEX, function (match) { + return ESCAPE_LOOKUP[match]; + }); +} +/** + * Sometimes we want to pull out the innermost element of a group. In most + * cases, this will just be the group itself, but when ordgroups and colors have + * a single element, we want to pull that out. + */ + + +var getBaseElem = function getBaseElem(group) { + if (group.type === "ordgroup") { + if (group.body.length === 1) { + return getBaseElem(group.body[0]); + } else { + return group; + } + } else if (group.type === "color") { + if (group.body.length === 1) { + return getBaseElem(group.body[0]); + } else { + return group; + } + } else if (group.type === "font") { + return getBaseElem(group.body); + } else { + return group; + } +}; +/** + * TeXbook algorithms often reference "character boxes", which are simply groups + * with a single character in them. To decide if something is a character box, + * we find its innermost group, and see if it is a single character. + */ + + +var isCharacterBox = function isCharacterBox(group) { + var baseElem = getBaseElem(group); // These are all they types of groups which hold single characters + + return baseElem.type === "mathord" || baseElem.type === "textord" || baseElem.type === "atom"; +}; + +var assert = function assert(value) { + if (!value) { + throw new Error('Expected non-null, but got ' + String(value)); + } + + return value; +}; +/** + * Return the protocol of a URL, or "_relative" if the URL does not specify a + * protocol (and thus is relative). + */ + +var protocolFromUrl = function protocolFromUrl(url) { + var protocol = /^\s*([^\\/#]*?)(?::|�*58|�*3a)/i.exec(url); + return protocol != null ? protocol[1] : "_relative"; +}; +/* harmony default export */ var utils = ({ + contains: contains, + deflt: deflt, + escape: utils_escape, + hyphenate: hyphenate, + getBaseElem: getBaseElem, + isCharacterBox: isCharacterBox, + protocolFromUrl: protocolFromUrl +}); +;// CONCATENATED MODULE: ./src/Settings.js +/* eslint no-console:0 */ + +/** + * This is a module for storing settings passed into KaTeX. It correctly handles + * default settings. + */ + + + +// TODO: automatically generate documentation +// TODO: check all properties on Settings exist +// TODO: check the type of a property on Settings matches +var SETTINGS_SCHEMA = { + displayMode: { + type: "boolean", + description: "Render math in display mode, which puts the math in " + "display style (so \\int and \\sum are large, for example), and " + "centers the math on the page on its own line.", + cli: "-d, --display-mode" + }, + output: { + type: { + enum: ["htmlAndMathml", "html", "mathml"] + }, + description: "Determines the markup language of the output.", + cli: "-F, --format " + }, + leqno: { + type: "boolean", + description: "Render display math in leqno style (left-justified tags)." + }, + fleqn: { + type: "boolean", + description: "Render display math flush left." + }, + throwOnError: { + type: "boolean", + default: true, + cli: "-t, --no-throw-on-error", + cliDescription: "Render errors (in the color given by --error-color) ins" + "tead of throwing a ParseError exception when encountering an error." + }, + errorColor: { + type: "string", + default: "#cc0000", + cli: "-c, --error-color ", + cliDescription: "A color string given in the format 'rgb' or 'rrggbb' " + "(no #). This option determines the color of errors rendered by the " + "-t option.", + cliProcessor: function cliProcessor(color) { + return "#" + color; + } + }, + macros: { + type: "object", + cli: "-m, --macro ", + cliDescription: "Define custom macro of the form '\\foo:expansion' (use " + "multiple -m arguments for multiple macros).", + cliDefault: [], + cliProcessor: function cliProcessor(def, defs) { + defs.push(def); + return defs; + } + }, + minRuleThickness: { + type: "number", + description: "Specifies a minimum thickness, in ems, for fraction lines," + " `\\sqrt` top lines, `{array}` vertical lines, `\\hline`, " + "`\\hdashline`, `\\underline`, `\\overline`, and the borders of " + "`\\fbox`, `\\boxed`, and `\\fcolorbox`.", + processor: function processor(t) { + return Math.max(0, t); + }, + cli: "--min-rule-thickness ", + cliProcessor: parseFloat + }, + colorIsTextColor: { + type: "boolean", + description: "Makes \\color behave like LaTeX's 2-argument \\textcolor, " + "instead of LaTeX's one-argument \\color mode change.", + cli: "-b, --color-is-text-color" + }, + strict: { + type: [{ + enum: ["warn", "ignore", "error"] + }, "boolean", "function"], + description: "Turn on strict / LaTeX faithfulness mode, which throws an " + "error if the input uses features that are not supported by LaTeX.", + cli: "-S, --strict", + cliDefault: false + }, + trust: { + type: ["boolean", "function"], + description: "Trust the input, enabling all HTML features such as \\url.", + cli: "-T, --trust" + }, + maxSize: { + type: "number", + default: Infinity, + description: "If non-zero, all user-specified sizes, e.g. in " + "\\rule{500em}{500em}, will be capped to maxSize ems. Otherwise, " + "elements and spaces can be arbitrarily large", + processor: function processor(s) { + return Math.max(0, s); + }, + cli: "-s, --max-size ", + cliProcessor: parseInt + }, + maxExpand: { + type: "number", + default: 1000, + description: "Limit the number of macro expansions to the specified " + "number, to prevent e.g. infinite macro loops. If set to Infinity, " + "the macro expander will try to fully expand as in LaTeX.", + processor: function processor(n) { + return Math.max(0, n); + }, + cli: "-e, --max-expand ", + cliProcessor: function cliProcessor(n) { + return n === "Infinity" ? Infinity : parseInt(n); + } + }, + globalGroup: { + type: "boolean", + cli: false + } +}; + +function getDefaultValue(schema) { + if (schema.default) { + return schema.default; + } + + var type = schema.type; + var defaultType = Array.isArray(type) ? type[0] : type; + + if (typeof defaultType !== 'string') { + return defaultType.enum[0]; + } + + switch (defaultType) { + case 'boolean': + return false; + + case 'string': + return ''; + + case 'number': + return 0; + + case 'object': + return {}; + } +} +/** + * The main Settings object + * + * The current options stored are: + * - displayMode: Whether the expression should be typeset as inline math + * (false, the default), meaning that the math starts in + * \textstyle and is placed in an inline-block); or as display + * math (true), meaning that the math starts in \displaystyle + * and is placed in a block with vertical margin. + */ + + +var Settings = /*#__PURE__*/function () { + function Settings(options) { + this.displayMode = void 0; + this.output = void 0; + this.leqno = void 0; + this.fleqn = void 0; + this.throwOnError = void 0; + this.errorColor = void 0; + this.macros = void 0; + this.minRuleThickness = void 0; + this.colorIsTextColor = void 0; + this.strict = void 0; + this.trust = void 0; + this.maxSize = void 0; + this.maxExpand = void 0; + this.globalGroup = void 0; + // allow null options + options = options || {}; + + for (var prop in SETTINGS_SCHEMA) { + if (SETTINGS_SCHEMA.hasOwnProperty(prop)) { + // $FlowFixMe + var schema = SETTINGS_SCHEMA[prop]; // TODO: validate options + // $FlowFixMe + + this[prop] = options[prop] !== undefined ? schema.processor ? schema.processor(options[prop]) : options[prop] : getDefaultValue(schema); + } + } + } + /** + * Report nonstrict (non-LaTeX-compatible) input. + * Can safely not be called if `this.strict` is false in JavaScript. + */ + + + var _proto = Settings.prototype; + + _proto.reportNonstrict = function reportNonstrict(errorCode, errorMsg, token) { + var strict = this.strict; + + if (typeof strict === "function") { + // Allow return value of strict function to be boolean or string + // (or null/undefined, meaning no further processing). + strict = strict(errorCode, errorMsg, token); + } + + if (!strict || strict === "ignore") { + return; + } else if (strict === true || strict === "error") { + throw new src_ParseError("LaTeX-incompatible input and strict mode is set to 'error': " + (errorMsg + " [" + errorCode + "]"), token); + } else if (strict === "warn") { + typeof console !== "undefined" && console.warn("LaTeX-incompatible input and strict mode is set to 'warn': " + (errorMsg + " [" + errorCode + "]")); + } else { + // won't happen in type-safe code + typeof console !== "undefined" && console.warn("LaTeX-incompatible input and strict mode is set to " + ("unrecognized '" + strict + "': " + errorMsg + " [" + errorCode + "]")); + } + } + /** + * Check whether to apply strict (LaTeX-adhering) behavior for unusual + * input (like `\\`). Unlike `nonstrict`, will not throw an error; + * instead, "error" translates to a return value of `true`, while "ignore" + * translates to a return value of `false`. May still print a warning: + * "warn" prints a warning and returns `false`. + * This is for the second category of `errorCode`s listed in the README. + */ + ; + + _proto.useStrictBehavior = function useStrictBehavior(errorCode, errorMsg, token) { + var strict = this.strict; + + if (typeof strict === "function") { + // Allow return value of strict function to be boolean or string + // (or null/undefined, meaning no further processing). + // But catch any exceptions thrown by function, treating them + // like "error". + try { + strict = strict(errorCode, errorMsg, token); + } catch (error) { + strict = "error"; + } + } + + if (!strict || strict === "ignore") { + return false; + } else if (strict === true || strict === "error") { + return true; + } else if (strict === "warn") { + typeof console !== "undefined" && console.warn("LaTeX-incompatible input and strict mode is set to 'warn': " + (errorMsg + " [" + errorCode + "]")); + return false; + } else { + // won't happen in type-safe code + typeof console !== "undefined" && console.warn("LaTeX-incompatible input and strict mode is set to " + ("unrecognized '" + strict + "': " + errorMsg + " [" + errorCode + "]")); + return false; + } + } + /** + * Check whether to test potentially dangerous input, and return + * `true` (trusted) or `false` (untrusted). The sole argument `context` + * should be an object with `command` field specifying the relevant LaTeX + * command (as a string starting with `\`), and any other arguments, etc. + * If `context` has a `url` field, a `protocol` field will automatically + * get added by this function (changing the specified object). + */ + ; + + _proto.isTrusted = function isTrusted(context) { + if (context.url && !context.protocol) { + context.protocol = utils.protocolFromUrl(context.url); + } + + var trust = typeof this.trust === "function" ? this.trust(context) : this.trust; + return Boolean(trust); + }; + + return Settings; +}(); + + +;// CONCATENATED MODULE: ./src/Style.js +/** + * This file contains information and classes for the various kinds of styles + * used in TeX. It provides a generic `Style` class, which holds information + * about a specific style. It then provides instances of all the different kinds + * of styles possible, and provides functions to move between them and get + * information about them. + */ + +/** + * The main style class. Contains a unique id for the style, a size (which is + * the same for cramped and uncramped version of a style), and a cramped flag. + */ +var Style = /*#__PURE__*/function () { + function Style(id, size, cramped) { + this.id = void 0; + this.size = void 0; + this.cramped = void 0; + this.id = id; + this.size = size; + this.cramped = cramped; + } + /** + * Get the style of a superscript given a base in the current style. + */ + + + var _proto = Style.prototype; + + _proto.sup = function sup() { + return styles[_sup[this.id]]; + } + /** + * Get the style of a subscript given a base in the current style. + */ + ; + + _proto.sub = function sub() { + return styles[_sub[this.id]]; + } + /** + * Get the style of a fraction numerator given the fraction in the current + * style. + */ + ; + + _proto.fracNum = function fracNum() { + return styles[_fracNum[this.id]]; + } + /** + * Get the style of a fraction denominator given the fraction in the current + * style. + */ + ; + + _proto.fracDen = function fracDen() { + return styles[_fracDen[this.id]]; + } + /** + * Get the cramped version of a style (in particular, cramping a cramped style + * doesn't change the style). + */ + ; + + _proto.cramp = function cramp() { + return styles[_cramp[this.id]]; + } + /** + * Get a text or display version of this style. + */ + ; + + _proto.text = function text() { + return styles[_text[this.id]]; + } + /** + * Return true if this style is tightly spaced (scriptstyle/scriptscriptstyle) + */ + ; + + _proto.isTight = function isTight() { + return this.size >= 2; + }; + + return Style; +}(); // Export an interface for type checking, but don't expose the implementation. +// This way, no more styles can be generated. + + +// IDs of the different styles +var D = 0; +var Dc = 1; +var T = 2; +var Tc = 3; +var S = 4; +var Sc = 5; +var SS = 6; +var SSc = 7; // Instances of the different styles + +var styles = [new Style(D, 0, false), new Style(Dc, 0, true), new Style(T, 1, false), new Style(Tc, 1, true), new Style(S, 2, false), new Style(Sc, 2, true), new Style(SS, 3, false), new Style(SSc, 3, true)]; // Lookup tables for switching from one style to another + +var _sup = [S, Sc, S, Sc, SS, SSc, SS, SSc]; +var _sub = [Sc, Sc, Sc, Sc, SSc, SSc, SSc, SSc]; +var _fracNum = [T, Tc, S, Sc, SS, SSc, SS, SSc]; +var _fracDen = [Tc, Tc, Sc, Sc, SSc, SSc, SSc, SSc]; +var _cramp = [Dc, Dc, Tc, Tc, Sc, Sc, SSc, SSc]; +var _text = [D, Dc, T, Tc, T, Tc, T, Tc]; // We only export some of the styles. + +/* harmony default export */ var src_Style = ({ + DISPLAY: styles[D], + TEXT: styles[T], + SCRIPT: styles[S], + SCRIPTSCRIPT: styles[SS] +}); +;// CONCATENATED MODULE: ./src/unicodeScripts.js +/* + * This file defines the Unicode scripts and script families that we + * support. To add new scripts or families, just add a new entry to the + * scriptData array below. Adding scripts to the scriptData array allows + * characters from that script to appear in \text{} environments. + */ + +/** + * Each script or script family has a name and an array of blocks. + * Each block is an array of two numbers which specify the start and + * end points (inclusive) of a block of Unicode codepoints. + */ + +/** + * Unicode block data for the families of scripts we support in \text{}. + * Scripts only need to appear here if they do not have font metrics. + */ +var scriptData = [{ + // Latin characters beyond the Latin-1 characters we have metrics for. + // Needed for Czech, Hungarian and Turkish text, for example. + name: 'latin', + blocks: [[0x0100, 0x024f], // Latin Extended-A and Latin Extended-B + [0x0300, 0x036f] // Combining Diacritical marks + ] +}, { + // The Cyrillic script used by Russian and related languages. + // A Cyrillic subset used to be supported as explicitly defined + // symbols in symbols.js + name: 'cyrillic', + blocks: [[0x0400, 0x04ff]] +}, { + // Armenian + name: 'armenian', + blocks: [[0x0530, 0x058F]] +}, { + // The Brahmic scripts of South and Southeast Asia + // Devanagari (0900–097F) + // Bengali (0980–09FF) + // Gurmukhi (0A00–0A7F) + // Gujarati (0A80–0AFF) + // Oriya (0B00–0B7F) + // Tamil (0B80–0BFF) + // Telugu (0C00–0C7F) + // Kannada (0C80–0CFF) + // Malayalam (0D00–0D7F) + // Sinhala (0D80–0DFF) + // Thai (0E00–0E7F) + // Lao (0E80–0EFF) + // Tibetan (0F00–0FFF) + // Myanmar (1000–109F) + name: 'brahmic', + blocks: [[0x0900, 0x109F]] +}, { + name: 'georgian', + blocks: [[0x10A0, 0x10ff]] +}, { + // Chinese and Japanese. + // The "k" in cjk is for Korean, but we've separated Korean out + name: "cjk", + blocks: [[0x3000, 0x30FF], // CJK symbols and punctuation, Hiragana, Katakana + [0x4E00, 0x9FAF], // CJK ideograms + [0xFF00, 0xFF60] // Fullwidth punctuation + // TODO: add halfwidth Katakana and Romanji glyphs + ] +}, { + // Korean + name: 'hangul', + blocks: [[0xAC00, 0xD7AF]] +}]; +/** + * Given a codepoint, return the name of the script or script family + * it is from, or null if it is not part of a known block + */ + +function scriptFromCodepoint(codepoint) { + for (var i = 0; i < scriptData.length; i++) { + var script = scriptData[i]; + + for (var _i = 0; _i < script.blocks.length; _i++) { + var block = script.blocks[_i]; + + if (codepoint >= block[0] && codepoint <= block[1]) { + return script.name; + } + } + } + + return null; +} +/** + * A flattened version of all the supported blocks in a single array. + * This is an optimization to make supportedCodepoint() fast. + */ + +var allBlocks = []; +scriptData.forEach(function (s) { + return s.blocks.forEach(function (b) { + return allBlocks.push.apply(allBlocks, b); + }); +}); +/** + * Given a codepoint, return true if it falls within one of the + * scripts or script families defined above and false otherwise. + * + * Micro benchmarks shows that this is faster than + * /[\u3000-\u30FF\u4E00-\u9FAF\uFF00-\uFF60\uAC00-\uD7AF\u0900-\u109F]/.test() + * in Firefox, Chrome and Node. + */ + +function supportedCodepoint(codepoint) { + for (var i = 0; i < allBlocks.length; i += 2) { + if (codepoint >= allBlocks[i] && codepoint <= allBlocks[i + 1]) { + return true; + } + } + + return false; +} +;// CONCATENATED MODULE: ./src/svgGeometry.js +/** + * This file provides support to domTree.js and delimiter.js. + * It's a storehouse of path geometry for SVG images. + */ +// In all paths below, the viewBox-to-em scale is 1000:1. +var hLinePad = 80; // padding above a sqrt viniculum. Prevents image cropping. +// The viniculum of a \sqrt can be made thicker by a KaTeX rendering option. +// Think of variable extraViniculum as two detours in the SVG path. +// The detour begins at the lower left of the area labeled extraViniculum below. +// The detour proceeds one extraViniculum distance up and slightly to the right, +// displacing the radiused corner between surd and viniculum. The radius is +// traversed as usual, then the detour resumes. It goes right, to the end of +// the very long viniculumn, then down one extraViniculum distance, +// after which it resumes regular path geometry for the radical. + +/* viniculum + / + /▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒←extraViniculum + / █████████████████████←0.04em (40 unit) std viniculum thickness + / / + / / + / /\ + / / surd +*/ + +var sqrtMain = function sqrtMain(extraViniculum, hLinePad) { + // sqrtMain path geometry is from glyph U221A in the font KaTeX Main + return "M95," + (622 + extraViniculum + hLinePad) + "\nc-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14\nc0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54\nc44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10\ns173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429\nc69,-144,104.5,-217.7,106.5,-221\nl" + extraViniculum / 2.075 + " -" + extraViniculum + "\nc5.3,-9.3,12,-14,20,-14\nH400000v" + (40 + extraViniculum) + "H845.2724\ns-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7\nc-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z\nM" + (834 + extraViniculum) + " " + hLinePad + "h400000v" + (40 + extraViniculum) + "h-400000z"; +}; + +var sqrtSize1 = function sqrtSize1(extraViniculum, hLinePad) { + // size1 is from glyph U221A in the font KaTeX_Size1-Regular + return "M263," + (601 + extraViniculum + hLinePad) + "c0.7,0,18,39.7,52,119\nc34,79.3,68.167,158.7,102.5,238c34.3,79.3,51.8,119.3,52.5,120\nc340,-704.7,510.7,-1060.3,512,-1067\nl" + extraViniculum / 2.084 + " -" + extraViniculum + "\nc4.7,-7.3,11,-11,19,-11\nH40000v" + (40 + extraViniculum) + "H1012.3\ns-271.3,567,-271.3,567c-38.7,80.7,-84,175,-136,283c-52,108,-89.167,185.3,-111.5,232\nc-22.3,46.7,-33.8,70.3,-34.5,71c-4.7,4.7,-12.3,7,-23,7s-12,-1,-12,-1\ns-109,-253,-109,-253c-72.7,-168,-109.3,-252,-110,-252c-10.7,8,-22,16.7,-34,26\nc-22,17.3,-33.3,26,-34,26s-26,-26,-26,-26s76,-59,76,-59s76,-60,76,-60z\nM" + (1001 + extraViniculum) + " " + hLinePad + "h400000v" + (40 + extraViniculum) + "h-400000z"; +}; + +var sqrtSize2 = function sqrtSize2(extraViniculum, hLinePad) { + // size2 is from glyph U221A in the font KaTeX_Size2-Regular + return "M983 " + (10 + extraViniculum + hLinePad) + "\nl" + extraViniculum / 3.13 + " -" + extraViniculum + "\nc4,-6.7,10,-10,18,-10 H400000v" + (40 + extraViniculum) + "\nH1013.1s-83.4,268,-264.1,840c-180.7,572,-277,876.3,-289,913c-4.7,4.7,-12.7,7,-24,7\ns-12,0,-12,0c-1.3,-3.3,-3.7,-11.7,-7,-25c-35.3,-125.3,-106.7,-373.3,-214,-744\nc-10,12,-21,25,-33,39s-32,39,-32,39c-6,-5.3,-15,-14,-27,-26s25,-30,25,-30\nc26.7,-32.7,52,-63,76,-91s52,-60,52,-60s208,722,208,722\nc56,-175.3,126.3,-397.3,211,-666c84.7,-268.7,153.8,-488.2,207.5,-658.5\nc53.7,-170.3,84.5,-266.8,92.5,-289.5z\nM" + (1001 + extraViniculum) + " " + hLinePad + "h400000v" + (40 + extraViniculum) + "h-400000z"; +}; + +var sqrtSize3 = function sqrtSize3(extraViniculum, hLinePad) { + // size3 is from glyph U221A in the font KaTeX_Size3-Regular + return "M424," + (2398 + extraViniculum + hLinePad) + "\nc-1.3,-0.7,-38.5,-172,-111.5,-514c-73,-342,-109.8,-513.3,-110.5,-514\nc0,-2,-10.7,14.3,-32,49c-4.7,7.3,-9.8,15.7,-15.5,25c-5.7,9.3,-9.8,16,-12.5,20\ns-5,7,-5,7c-4,-3.3,-8.3,-7.7,-13,-13s-13,-13,-13,-13s76,-122,76,-122s77,-121,77,-121\ns209,968,209,968c0,-2,84.7,-361.7,254,-1079c169.3,-717.3,254.7,-1077.7,256,-1081\nl" + extraViniculum / 4.223 + " -" + extraViniculum + "c4,-6.7,10,-10,18,-10 H400000\nv" + (40 + extraViniculum) + "H1014.6\ns-87.3,378.7,-272.6,1166c-185.3,787.3,-279.3,1182.3,-282,1185\nc-2,6,-10,9,-24,9\nc-8,0,-12,-0.7,-12,-2z M" + (1001 + extraViniculum) + " " + hLinePad + "\nh400000v" + (40 + extraViniculum) + "h-400000z"; +}; + +var sqrtSize4 = function sqrtSize4(extraViniculum, hLinePad) { + // size4 is from glyph U221A in the font KaTeX_Size4-Regular + return "M473," + (2713 + extraViniculum + hLinePad) + "\nc339.3,-1799.3,509.3,-2700,510,-2702 l" + extraViniculum / 5.298 + " -" + extraViniculum + "\nc3.3,-7.3,9.3,-11,18,-11 H400000v" + (40 + extraViniculum) + "H1017.7\ns-90.5,478,-276.2,1466c-185.7,988,-279.5,1483,-281.5,1485c-2,6,-10,9,-24,9\nc-8,0,-12,-0.7,-12,-2c0,-1.3,-5.3,-32,-16,-92c-50.7,-293.3,-119.7,-693.3,-207,-1200\nc0,-1.3,-5.3,8.7,-16,30c-10.7,21.3,-21.3,42.7,-32,64s-16,33,-16,33s-26,-26,-26,-26\ns76,-153,76,-153s77,-151,77,-151c0.7,0.7,35.7,202,105,604c67.3,400.7,102,602.7,104,\n606zM" + (1001 + extraViniculum) + " " + hLinePad + "h400000v" + (40 + extraViniculum) + "H1017.7z"; +}; + +var phasePath = function phasePath(y) { + var x = y / 2; // x coordinate at top of angle + + return "M400000 " + y + " H0 L" + x + " 0 l65 45 L145 " + (y - 80) + " H400000z"; +}; + +var sqrtTall = function sqrtTall(extraViniculum, hLinePad, viewBoxHeight) { + // sqrtTall is from glyph U23B7 in the font KaTeX_Size4-Regular + // One path edge has a variable length. It runs vertically from the viniculumn + // to a point near (14 units) the bottom of the surd. The viniculum + // is normally 40 units thick. So the length of the line in question is: + var vertSegment = viewBoxHeight - 54 - hLinePad - extraViniculum; + return "M702 " + (extraViniculum + hLinePad) + "H400000" + (40 + extraViniculum) + "\nH742v" + vertSegment + "l-4 4-4 4c-.667.7 -2 1.5-4 2.5s-4.167 1.833-6.5 2.5-5.5 1-9.5 1\nh-12l-28-84c-16.667-52-96.667 -294.333-240-727l-212 -643 -85 170\nc-4-3.333-8.333-7.667-13 -13l-13-13l77-155 77-156c66 199.333 139 419.667\n219 661 l218 661zM702 " + hLinePad + "H400000v" + (40 + extraViniculum) + "H742z"; +}; + +var sqrtPath = function sqrtPath(size, extraViniculum, viewBoxHeight) { + extraViniculum = 1000 * extraViniculum; // Convert from document ems to viewBox. + + var path = ""; + + switch (size) { + case "sqrtMain": + path = sqrtMain(extraViniculum, hLinePad); + break; + + case "sqrtSize1": + path = sqrtSize1(extraViniculum, hLinePad); + break; + + case "sqrtSize2": + path = sqrtSize2(extraViniculum, hLinePad); + break; + + case "sqrtSize3": + path = sqrtSize3(extraViniculum, hLinePad); + break; + + case "sqrtSize4": + path = sqrtSize4(extraViniculum, hLinePad); + break; + + case "sqrtTall": + path = sqrtTall(extraViniculum, hLinePad, viewBoxHeight); + } + + return path; +}; +var innerPath = function innerPath(name, height) { + // The inner part of stretchy tall delimiters + switch (name) { + case "\u239C": + return "M291 0 H417 V" + height + " H291z M291 0 H417 V" + height + " H291z"; + + case "\u2223": + return "M145 0 H188 V" + height + " H145z M145 0 H188 V" + height + " H145z"; + + case "\u2225": + return "M145 0 H188 V" + height + " H145z M145 0 H188 V" + height + " H145z" + ("M367 0 H410 V" + height + " H367z M367 0 H410 V" + height + " H367z"); + + case "\u239F": + return "M457 0 H583 V" + height + " H457z M457 0 H583 V" + height + " H457z"; + + case "\u23A2": + return "M319 0 H403 V" + height + " H319z M319 0 H403 V" + height + " H319z"; + + case "\u23A5": + return "M263 0 H347 V" + height + " H263z M263 0 H347 V" + height + " H263z"; + + case "\u23AA": + return "M384 0 H504 V" + height + " H384z M384 0 H504 V" + height + " H384z"; + + case "\u23D0": + return "M312 0 H355 V" + height + " H312z M312 0 H355 V" + height + " H312z"; + + case "\u2016": + return "M257 0 H300 V" + height + " H257z M257 0 H300 V" + height + " H257z" + ("M478 0 H521 V" + height + " H478z M478 0 H521 V" + height + " H478z"); + + default: + return ""; + } +}; +var path = { + // The doubleleftarrow geometry is from glyph U+21D0 in the font KaTeX Main + doubleleftarrow: "M262 157\nl10-10c34-36 62.7-77 86-123 3.3-8 5-13.3 5-16 0-5.3-6.7-8-20-8-7.3\n 0-12.2.5-14.5 1.5-2.3 1-4.8 4.5-7.5 10.5-49.3 97.3-121.7 169.3-217 216-28\n 14-57.3 25-88 33-6.7 2-11 3.8-13 5.5-2 1.7-3 4.2-3 7.5s1 5.8 3 7.5\nc2 1.7 6.3 3.5 13 5.5 68 17.3 128.2 47.8 180.5 91.5 52.3 43.7 93.8 96.2 124.5\n 157.5 9.3 8 15.3 12.3 18 13h6c12-.7 18-4 18-10 0-2-1.7-7-5-15-23.3-46-52-87\n-86-123l-10-10h399738v-40H218c328 0 0 0 0 0l-10-8c-26.7-20-65.7-43-117-69 2.7\n-2 6-3.7 10-5 36.7-16 72.3-37.3 107-64l10-8h399782v-40z\nm8 0v40h399730v-40zm0 194v40h399730v-40z", + // doublerightarrow is from glyph U+21D2 in font KaTeX Main + doublerightarrow: "M399738 392l\n-10 10c-34 36-62.7 77-86 123-3.3 8-5 13.3-5 16 0 5.3 6.7 8 20 8 7.3 0 12.2-.5\n 14.5-1.5 2.3-1 4.8-4.5 7.5-10.5 49.3-97.3 121.7-169.3 217-216 28-14 57.3-25 88\n-33 6.7-2 11-3.8 13-5.5 2-1.7 3-4.2 3-7.5s-1-5.8-3-7.5c-2-1.7-6.3-3.5-13-5.5-68\n-17.3-128.2-47.8-180.5-91.5-52.3-43.7-93.8-96.2-124.5-157.5-9.3-8-15.3-12.3-18\n-13h-6c-12 .7-18 4-18 10 0 2 1.7 7 5 15 23.3 46 52 87 86 123l10 10H0v40h399782\nc-328 0 0 0 0 0l10 8c26.7 20 65.7 43 117 69-2.7 2-6 3.7-10 5-36.7 16-72.3 37.3\n-107 64l-10 8H0v40zM0 157v40h399730v-40zm0 194v40h399730v-40z", + // leftarrow is from glyph U+2190 in font KaTeX Main + leftarrow: "M400000 241H110l3-3c68.7-52.7 113.7-120\n 135-202 4-14.7 6-23 6-25 0-7.3-7-11-21-11-8 0-13.2.8-15.5 2.5-2.3 1.7-4.2 5.8\n-5.5 12.5-1.3 4.7-2.7 10.3-4 17-12 48.7-34.8 92-68.5 130S65.3 228.3 18 247\nc-10 4-16 7.7-18 11 0 8.7 6 14.3 18 17 47.3 18.7 87.8 47 121.5 85S196 441.3 208\n 490c.7 2 1.3 5 2 9s1.2 6.7 1.5 8c.3 1.3 1 3.3 2 6s2.2 4.5 3.5 5.5c1.3 1 3.3\n 1.8 6 2.5s6 1 10 1c14 0 21-3.7 21-11 0-2-2-10.3-6-25-20-79.3-65-146.7-135-202\n l-3-3h399890zM100 241v40h399900v-40z", + // overbrace is from glyphs U+23A9/23A8/23A7 in font KaTeX_Size4-Regular + leftbrace: "M6 548l-6-6v-35l6-11c56-104 135.3-181.3 238-232 57.3-28.7 117\n-45 179-50h399577v120H403c-43.3 7-81 15-113 26-100.7 33-179.7 91-237 174-2.7\n 5-6 9-10 13-.7 1-7.3 1-20 1H6z", + leftbraceunder: "M0 6l6-6h17c12.688 0 19.313.3 20 1 4 4 7.313 8.3 10 13\n 35.313 51.3 80.813 93.8 136.5 127.5 55.688 33.7 117.188 55.8 184.5 66.5.688\n 0 2 .3 4 1 18.688 2.7 76 4.3 172 5h399450v120H429l-6-1c-124.688-8-235-61.7\n-331-161C60.687 138.7 32.312 99.3 7 54L0 41V6z", + // overgroup is from the MnSymbol package (public domain) + leftgroup: "M400000 80\nH435C64 80 168.3 229.4 21 260c-5.9 1.2-18 0-18 0-2 0-3-1-3-3v-38C76 61 257 0\n 435 0h399565z", + leftgroupunder: "M400000 262\nH435C64 262 168.3 112.6 21 82c-5.9-1.2-18 0-18 0-2 0-3 1-3 3v38c76 158 257 219\n 435 219h399565z", + // Harpoons are from glyph U+21BD in font KaTeX Main + leftharpoon: "M0 267c.7 5.3 3 10 7 14h399993v-40H93c3.3\n-3.3 10.2-9.5 20.5-18.5s17.8-15.8 22.5-20.5c50.7-52 88-110.3 112-175 4-11.3 5\n-18.3 3-21-1.3-4-7.3-6-18-6-8 0-13 .7-15 2s-4.7 6.7-8 16c-42 98.7-107.3 174.7\n-196 228-6.7 4.7-10.7 8-12 10-1.3 2-2 5.7-2 11zm100-26v40h399900v-40z", + leftharpoonplus: "M0 267c.7 5.3 3 10 7 14h399993v-40H93c3.3-3.3 10.2-9.5\n 20.5-18.5s17.8-15.8 22.5-20.5c50.7-52 88-110.3 112-175 4-11.3 5-18.3 3-21-1.3\n-4-7.3-6-18-6-8 0-13 .7-15 2s-4.7 6.7-8 16c-42 98.7-107.3 174.7-196 228-6.7 4.7\n-10.7 8-12 10-1.3 2-2 5.7-2 11zm100-26v40h399900v-40zM0 435v40h400000v-40z\nm0 0v40h400000v-40z", + leftharpoondown: "M7 241c-4 4-6.333 8.667-7 14 0 5.333.667 9 2 11s5.333\n 5.333 12 10c90.667 54 156 130 196 228 3.333 10.667 6.333 16.333 9 17 2 .667 5\n 1 9 1h5c10.667 0 16.667-2 18-6 2-2.667 1-9.667-3-21-32-87.333-82.667-157.667\n-152-211l-3-3h399907v-40zM93 281 H400000 v-40L7 241z", + leftharpoondownplus: "M7 435c-4 4-6.3 8.7-7 14 0 5.3.7 9 2 11s5.3 5.3 12\n 10c90.7 54 156 130 196 228 3.3 10.7 6.3 16.3 9 17 2 .7 5 1 9 1h5c10.7 0 16.7\n-2 18-6 2-2.7 1-9.7-3-21-32-87.3-82.7-157.7-152-211l-3-3h399907v-40H7zm93 0\nv40h399900v-40zM0 241v40h399900v-40zm0 0v40h399900v-40z", + // hook is from glyph U+21A9 in font KaTeX Main + lefthook: "M400000 281 H103s-33-11.2-61-33.5S0 197.3 0 164s14.2-61.2 42.5\n-83.5C70.8 58.2 104 47 142 47 c16.7 0 25 6.7 25 20 0 12-8.7 18.7-26 20-40 3.3\n-68.7 15.7-86 37-10 12-15 25.3-15 40 0 22.7 9.8 40.7 29.5 54 19.7 13.3 43.5 21\n 71.5 23h399859zM103 281v-40h399897v40z", + leftlinesegment: "M40 281 V428 H0 V94 H40 V241 H400000 v40z\nM40 281 V428 H0 V94 H40 V241 H400000 v40z", + leftmapsto: "M40 281 V448H0V74H40V241H400000v40z\nM40 281 V448H0V74H40V241H400000v40z", + // tofrom is from glyph U+21C4 in font KaTeX AMS Regular + leftToFrom: "M0 147h400000v40H0zm0 214c68 40 115.7 95.7 143 167h22c15.3 0 23\n-.3 23-1 0-1.3-5.3-13.7-16-37-18-35.3-41.3-69-70-101l-7-8h399905v-40H95l7-8\nc28.7-32 52-65.7 70-101 10.7-23.3 16-35.7 16-37 0-.7-7.7-1-23-1h-22C115.7 265.3\n 68 321 0 361zm0-174v-40h399900v40zm100 154v40h399900v-40z", + longequal: "M0 50 h400000 v40H0z m0 194h40000v40H0z\nM0 50 h400000 v40H0z m0 194h40000v40H0z", + midbrace: "M200428 334\nc-100.7-8.3-195.3-44-280-108-55.3-42-101.7-93-139-153l-9-14c-2.7 4-5.7 8.7-9 14\n-53.3 86.7-123.7 153-211 199-66.7 36-137.3 56.3-212 62H0V214h199568c178.3-11.7\n 311.7-78.3 403-201 6-8 9.7-12 11-12 .7-.7 6.7-1 18-1s17.3.3 18 1c1.3 0 5 4 11\n 12 44.7 59.3 101.3 106.3 170 141s145.3 54.3 229 60h199572v120z", + midbraceunder: "M199572 214\nc100.7 8.3 195.3 44 280 108 55.3 42 101.7 93 139 153l9 14c2.7-4 5.7-8.7 9-14\n 53.3-86.7 123.7-153 211-199 66.7-36 137.3-56.3 212-62h199568v120H200432c-178.3\n 11.7-311.7 78.3-403 201-6 8-9.7 12-11 12-.7.7-6.7 1-18 1s-17.3-.3-18-1c-1.3 0\n-5-4-11-12-44.7-59.3-101.3-106.3-170-141s-145.3-54.3-229-60H0V214z", + oiintSize1: "M512.6 71.6c272.6 0 320.3 106.8 320.3 178.2 0 70.8-47.7 177.6\n-320.3 177.6S193.1 320.6 193.1 249.8c0-71.4 46.9-178.2 319.5-178.2z\nm368.1 178.2c0-86.4-60.9-215.4-368.1-215.4-306.4 0-367.3 129-367.3 215.4 0 85.8\n60.9 214.8 367.3 214.8 307.2 0 368.1-129 368.1-214.8z", + oiintSize2: "M757.8 100.1c384.7 0 451.1 137.6 451.1 230 0 91.3-66.4 228.8\n-451.1 228.8-386.3 0-452.7-137.5-452.7-228.8 0-92.4 66.4-230 452.7-230z\nm502.4 230c0-111.2-82.4-277.2-502.4-277.2s-504 166-504 277.2\nc0 110 84 276 504 276s502.4-166 502.4-276z", + oiiintSize1: "M681.4 71.6c408.9 0 480.5 106.8 480.5 178.2 0 70.8-71.6 177.6\n-480.5 177.6S202.1 320.6 202.1 249.8c0-71.4 70.5-178.2 479.3-178.2z\nm525.8 178.2c0-86.4-86.8-215.4-525.7-215.4-437.9 0-524.7 129-524.7 215.4 0\n85.8 86.8 214.8 524.7 214.8 438.9 0 525.7-129 525.7-214.8z", + oiiintSize2: "M1021.2 53c603.6 0 707.8 165.8 707.8 277.2 0 110-104.2 275.8\n-707.8 275.8-606 0-710.2-165.8-710.2-275.8C311 218.8 415.2 53 1021.2 53z\nm770.4 277.1c0-131.2-126.4-327.6-770.5-327.6S248.4 198.9 248.4 330.1\nc0 130 128.8 326.4 772.7 326.4s770.5-196.4 770.5-326.4z", + rightarrow: "M0 241v40h399891c-47.3 35.3-84 78-110 128\n-16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20\n 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7\n 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85\n-40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5\n-12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67\n 151.7 139 205zm0 0v40h399900v-40z", + rightbrace: "M400000 542l\n-6 6h-17c-12.7 0-19.3-.3-20-1-4-4-7.3-8.3-10-13-35.3-51.3-80.8-93.8-136.5-127.5\ns-117.2-55.8-184.5-66.5c-.7 0-2-.3-4-1-18.7-2.7-76-4.3-172-5H0V214h399571l6 1\nc124.7 8 235 61.7 331 161 31.3 33.3 59.7 72.7 85 118l7 13v35z", + rightbraceunder: "M399994 0l6 6v35l-6 11c-56 104-135.3 181.3-238 232-57.3\n 28.7-117 45-179 50H-300V214h399897c43.3-7 81-15 113-26 100.7-33 179.7-91 237\n-174 2.7-5 6-9 10-13 .7-1 7.3-1 20-1h17z", + rightgroup: "M0 80h399565c371 0 266.7 149.4 414 180 5.9 1.2 18 0 18 0 2 0\n 3-1 3-3v-38c-76-158-257-219-435-219H0z", + rightgroupunder: "M0 262h399565c371 0 266.7-149.4 414-180 5.9-1.2 18 0 18\n 0 2 0 3 1 3 3v38c-76 158-257 219-435 219H0z", + rightharpoon: "M0 241v40h399993c4.7-4.7 7-9.3 7-14 0-9.3\n-3.7-15.3-11-18-92.7-56.7-159-133.7-199-231-3.3-9.3-6-14.7-8-16-2-1.3-7-2-15-2\n-10.7 0-16.7 2-18 6-2 2.7-1 9.7 3 21 15.3 42 36.7 81.8 64 119.5 27.3 37.7 58\n 69.2 92 94.5zm0 0v40h399900v-40z", + rightharpoonplus: "M0 241v40h399993c4.7-4.7 7-9.3 7-14 0-9.3-3.7-15.3-11\n-18-92.7-56.7-159-133.7-199-231-3.3-9.3-6-14.7-8-16-2-1.3-7-2-15-2-10.7 0-16.7\n 2-18 6-2 2.7-1 9.7 3 21 15.3 42 36.7 81.8 64 119.5 27.3 37.7 58 69.2 92 94.5z\nm0 0v40h399900v-40z m100 194v40h399900v-40zm0 0v40h399900v-40z", + rightharpoondown: "M399747 511c0 7.3 6.7 11 20 11 8 0 13-.8 15-2.5s4.7-6.8\n 8-15.5c40-94 99.3-166.3 178-217 13.3-8 20.3-12.3 21-13 5.3-3.3 8.5-5.8 9.5\n-7.5 1-1.7 1.5-5.2 1.5-10.5s-2.3-10.3-7-15H0v40h399908c-34 25.3-64.7 57-92 95\n-27.3 38-48.7 77.7-64 119-3.3 8.7-5 14-5 16zM0 241v40h399900v-40z", + rightharpoondownplus: "M399747 705c0 7.3 6.7 11 20 11 8 0 13-.8\n 15-2.5s4.7-6.8 8-15.5c40-94 99.3-166.3 178-217 13.3-8 20.3-12.3 21-13 5.3-3.3\n 8.5-5.8 9.5-7.5 1-1.7 1.5-5.2 1.5-10.5s-2.3-10.3-7-15H0v40h399908c-34 25.3\n-64.7 57-92 95-27.3 38-48.7 77.7-64 119-3.3 8.7-5 14-5 16zM0 435v40h399900v-40z\nm0-194v40h400000v-40zm0 0v40h400000v-40z", + righthook: "M399859 241c-764 0 0 0 0 0 40-3.3 68.7-15.7 86-37 10-12 15-25.3\n 15-40 0-22.7-9.8-40.7-29.5-54-19.7-13.3-43.5-21-71.5-23-17.3-1.3-26-8-26-20 0\n-13.3 8.7-20 26-20 38 0 71 11.2 99 33.5 0 0 7 5.6 21 16.7 14 11.2 21 33.5 21\n 66.8s-14 61.2-42 83.5c-28 22.3-61 33.5-99 33.5L0 241z M0 281v-40h399859v40z", + rightlinesegment: "M399960 241 V94 h40 V428 h-40 V281 H0 v-40z\nM399960 241 V94 h40 V428 h-40 V281 H0 v-40z", + rightToFrom: "M400000 167c-70.7-42-118-97.7-142-167h-23c-15.3 0-23 .3-23\n 1 0 1.3 5.3 13.7 16 37 18 35.3 41.3 69 70 101l7 8H0v40h399905l-7 8c-28.7 32\n-52 65.7-70 101-10.7 23.3-16 35.7-16 37 0 .7 7.7 1 23 1h23c24-69.3 71.3-125 142\n-167z M100 147v40h399900v-40zM0 341v40h399900v-40z", + // twoheadleftarrow is from glyph U+219E in font KaTeX AMS Regular + twoheadleftarrow: "M0 167c68 40\n 115.7 95.7 143 167h22c15.3 0 23-.3 23-1 0-1.3-5.3-13.7-16-37-18-35.3-41.3-69\n-70-101l-7-8h125l9 7c50.7 39.3 85 86 103 140h46c0-4.7-6.3-18.7-19-42-18-35.3\n-40-67.3-66-96l-9-9h399716v-40H284l9-9c26-28.7 48-60.7 66-96 12.7-23.333 19\n-37.333 19-42h-46c-18 54-52.3 100.7-103 140l-9 7H95l7-8c28.7-32 52-65.7 70-101\n 10.7-23.333 16-35.7 16-37 0-.7-7.7-1-23-1h-22C115.7 71.3 68 127 0 167z", + twoheadrightarrow: "M400000 167\nc-68-40-115.7-95.7-143-167h-22c-15.3 0-23 .3-23 1 0 1.3 5.3 13.7 16 37 18 35.3\n 41.3 69 70 101l7 8h-125l-9-7c-50.7-39.3-85-86-103-140h-46c0 4.7 6.3 18.7 19 42\n 18 35.3 40 67.3 66 96l9 9H0v40h399716l-9 9c-26 28.7-48 60.7-66 96-12.7 23.333\n-19 37.333-19 42h46c18-54 52.3-100.7 103-140l9-7h125l-7 8c-28.7 32-52 65.7-70\n 101-10.7 23.333-16 35.7-16 37 0 .7 7.7 1 23 1h22c27.3-71.3 75-127 143-167z", + // tilde1 is a modified version of a glyph from the MnSymbol package + tilde1: "M200 55.538c-77 0-168 73.953-177 73.953-3 0-7\n-2.175-9-5.437L2 97c-1-2-2-4-2-6 0-4 2-7 5-9l20-12C116 12 171 0 207 0c86 0\n 114 68 191 68 78 0 168-68 177-68 4 0 7 2 9 5l12 19c1 2.175 2 4.35 2 6.525 0\n 4.35-2 7.613-5 9.788l-19 13.05c-92 63.077-116.937 75.308-183 76.128\n-68.267.847-113-73.952-191-73.952z", + // ditto tilde2, tilde3, & tilde4 + tilde2: "M344 55.266c-142 0-300.638 81.316-311.5 86.418\n-8.01 3.762-22.5 10.91-23.5 5.562L1 120c-1-2-1-3-1-4 0-5 3-9 8-10l18.4-9C160.9\n 31.9 283 0 358 0c148 0 188 122 331 122s314-97 326-97c4 0 8 2 10 7l7 21.114\nc1 2.14 1 3.21 1 4.28 0 5.347-3 9.626-7 10.696l-22.3 12.622C852.6 158.372 751\n 181.476 676 181.476c-149 0-189-126.21-332-126.21z", + tilde3: "M786 59C457 59 32 175.242 13 175.242c-6 0-10-3.457\n-11-10.37L.15 138c-1-7 3-12 10-13l19.2-6.4C378.4 40.7 634.3 0 804.3 0c337 0\n 411.8 157 746.8 157 328 0 754-112 773-112 5 0 10 3 11 9l1 14.075c1 8.066-.697\n 16.595-6.697 17.492l-21.052 7.31c-367.9 98.146-609.15 122.696-778.15 122.696\n -338 0-409-156.573-744-156.573z", + tilde4: "M786 58C457 58 32 177.487 13 177.487c-6 0-10-3.345\n-11-10.035L.15 143c-1-7 3-12 10-13l22-6.7C381.2 35 637.15 0 807.15 0c337 0 409\n 177 744 177 328 0 754-127 773-127 5 0 10 3 11 9l1 14.794c1 7.805-3 13.38-9\n 14.495l-20.7 5.574c-366.85 99.79-607.3 139.372-776.3 139.372-338 0-409\n -175.236-744-175.236z", + // vec is from glyph U+20D7 in font KaTeX Main + vec: "M377 20c0-5.333 1.833-10 5.5-14S391 0 397 0c4.667 0 8.667 1.667 12 5\n3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 11\n10.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63\n-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1\n-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59\nH213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359\nc-16-25.333-24-45-24-59z", + // widehat1 is a modified version of a glyph from the MnSymbol package + widehat1: "M529 0h5l519 115c5 1 9 5 9 10 0 1-1 2-1 3l-4 22\nc-1 5-5 9-11 9h-2L532 67 19 159h-2c-5 0-9-4-11-9l-5-22c-1-6 2-12 8-13z", + // ditto widehat2, widehat3, & widehat4 + widehat2: "M1181 0h2l1171 176c6 0 10 5 10 11l-2 23c-1 6-5 10\n-11 10h-1L1182 67 15 220h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z", + widehat3: "M1181 0h2l1171 236c6 0 10 5 10 11l-2 23c-1 6-5 10\n-11 10h-1L1182 67 15 280h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z", + widehat4: "M1181 0h2l1171 296c6 0 10 5 10 11l-2 23c-1 6-5 10\n-11 10h-1L1182 67 15 340h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z", + // widecheck paths are all inverted versions of widehat + widecheck1: "M529,159h5l519,-115c5,-1,9,-5,9,-10c0,-1,-1,-2,-1,-3l-4,-22c-1,\n-5,-5,-9,-11,-9h-2l-512,92l-513,-92h-2c-5,0,-9,4,-11,9l-5,22c-1,6,2,12,8,13z", + widecheck2: "M1181,220h2l1171,-176c6,0,10,-5,10,-11l-2,-23c-1,-6,-5,-10,\n-11,-10h-1l-1168,153l-1167,-153h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z", + widecheck3: "M1181,280h2l1171,-236c6,0,10,-5,10,-11l-2,-23c-1,-6,-5,-10,\n-11,-10h-1l-1168,213l-1167,-213h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z", + widecheck4: "M1181,340h2l1171,-296c6,0,10,-5,10,-11l-2,-23c-1,-6,-5,-10,\n-11,-10h-1l-1168,273l-1167,-273h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z", + // The next ten paths support reaction arrows from the mhchem package. + // Arrows for \ce{<-->} are offset from xAxis by 0.22ex, per mhchem in LaTeX + // baraboveleftarrow is mostly from from glyph U+2190 in font KaTeX Main + baraboveleftarrow: "M400000 620h-399890l3 -3c68.7 -52.7 113.7 -120 135 -202\nc4 -14.7 6 -23 6 -25c0 -7.3 -7 -11 -21 -11c-8 0 -13.2 0.8 -15.5 2.5\nc-2.3 1.7 -4.2 5.8 -5.5 12.5c-1.3 4.7 -2.7 10.3 -4 17c-12 48.7 -34.8 92 -68.5 130\ns-74.2 66.3 -121.5 85c-10 4 -16 7.7 -18 11c0 8.7 6 14.3 18 17c47.3 18.7 87.8 47\n121.5 85s56.5 81.3 68.5 130c0.7 2 1.3 5 2 9s1.2 6.7 1.5 8c0.3 1.3 1 3.3 2 6\ns2.2 4.5 3.5 5.5c1.3 1 3.3 1.8 6 2.5s6 1 10 1c14 0 21 -3.7 21 -11\nc0 -2 -2 -10.3 -6 -25c-20 -79.3 -65 -146.7 -135 -202l-3 -3h399890z\nM100 620v40h399900v-40z M0 241v40h399900v-40zM0 241v40h399900v-40z", + // rightarrowabovebar is mostly from glyph U+2192, KaTeX Main + rightarrowabovebar: "M0 241v40h399891c-47.3 35.3-84 78-110 128-16.7 32\n-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0\n13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39\n-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85-40.5\n-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5\n-12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67\n151.7 139 205zm96 379h399894v40H0zm0 0h399904v40H0z", + // The short left harpoon has 0.5em (i.e. 500 units) kern on the left end. + // Ref from mhchem.sty: \rlap{\raisebox{-.22ex}{$\kern0.5em + baraboveshortleftharpoon: "M507,435c-4,4,-6.3,8.7,-7,14c0,5.3,0.7,9,2,11\nc1.3,2,5.3,5.3,12,10c90.7,54,156,130,196,228c3.3,10.7,6.3,16.3,9,17\nc2,0.7,5,1,9,1c0,0,5,0,5,0c10.7,0,16.7,-2,18,-6c2,-2.7,1,-9.7,-3,-21\nc-32,-87.3,-82.7,-157.7,-152,-211c0,0,-3,-3,-3,-3l399351,0l0,-40\nc-398570,0,-399437,0,-399437,0z M593 435 v40 H399500 v-40z\nM0 281 v-40 H399908 v40z M0 281 v-40 H399908 v40z", + rightharpoonaboveshortbar: "M0,241 l0,40c399126,0,399993,0,399993,0\nc4.7,-4.7,7,-9.3,7,-14c0,-9.3,-3.7,-15.3,-11,-18c-92.7,-56.7,-159,-133.7,-199,\n-231c-3.3,-9.3,-6,-14.7,-8,-16c-2,-1.3,-7,-2,-15,-2c-10.7,0,-16.7,2,-18,6\nc-2,2.7,-1,9.7,3,21c15.3,42,36.7,81.8,64,119.5c27.3,37.7,58,69.2,92,94.5z\nM0 241 v40 H399908 v-40z M0 475 v-40 H399500 v40z M0 475 v-40 H399500 v40z", + shortbaraboveleftharpoon: "M7,435c-4,4,-6.3,8.7,-7,14c0,5.3,0.7,9,2,11\nc1.3,2,5.3,5.3,12,10c90.7,54,156,130,196,228c3.3,10.7,6.3,16.3,9,17c2,0.7,5,1,9,\n1c0,0,5,0,5,0c10.7,0,16.7,-2,18,-6c2,-2.7,1,-9.7,-3,-21c-32,-87.3,-82.7,-157.7,\n-152,-211c0,0,-3,-3,-3,-3l399907,0l0,-40c-399126,0,-399993,0,-399993,0z\nM93 435 v40 H400000 v-40z M500 241 v40 H400000 v-40z M500 241 v40 H400000 v-40z", + shortrightharpoonabovebar: "M53,241l0,40c398570,0,399437,0,399437,0\nc4.7,-4.7,7,-9.3,7,-14c0,-9.3,-3.7,-15.3,-11,-18c-92.7,-56.7,-159,-133.7,-199,\n-231c-3.3,-9.3,-6,-14.7,-8,-16c-2,-1.3,-7,-2,-15,-2c-10.7,0,-16.7,2,-18,6\nc-2,2.7,-1,9.7,3,21c15.3,42,36.7,81.8,64,119.5c27.3,37.7,58,69.2,92,94.5z\nM500 241 v40 H399408 v-40z M500 435 v40 H400000 v-40z" +}; +var tallDelim = function tallDelim(label, midHeight) { + switch (label) { + case "lbrack": + return "M403 1759 V84 H666 V0 H319 V1759 v" + midHeight + " v1759 h347 v-84\nH403z M403 1759 V0 H319 V1759 v" + midHeight + " v1759 h84z"; + + case "rbrack": + return "M347 1759 V0 H0 V84 H263 V1759 v" + midHeight + " v1759 H0 v84 H347z\nM347 1759 V0 H263 V1759 v" + midHeight + " v1759 h84z"; + + case "vert": + return "M145 15 v585 v" + midHeight + " v585 c2.667,10,9.667,15,21,15\nc10,0,16.667,-5,20,-15 v-585 v" + -midHeight + " v-585 c-2.667,-10,-9.667,-15,-21,-15\nc-10,0,-16.667,5,-20,15z M188 15 H145 v585 v" + midHeight + " v585 h43z"; + + case "doublevert": + return "M145 15 v585 v" + midHeight + " v585 c2.667,10,9.667,15,21,15\nc10,0,16.667,-5,20,-15 v-585 v" + -midHeight + " v-585 c-2.667,-10,-9.667,-15,-21,-15\nc-10,0,-16.667,5,-20,15z M188 15 H145 v585 v" + midHeight + " v585 h43z\nM367 15 v585 v" + midHeight + " v585 c2.667,10,9.667,15,21,15\nc10,0,16.667,-5,20,-15 v-585 v" + -midHeight + " v-585 c-2.667,-10,-9.667,-15,-21,-15\nc-10,0,-16.667,5,-20,15z M410 15 H367 v585 v" + midHeight + " v585 h43z"; + + case "lfloor": + return "M319 602 V0 H403 V602 v" + midHeight + " v1715 h263 v84 H319z\nMM319 602 V0 H403 V602 v" + midHeight + " v1715 H319z"; + + case "rfloor": + return "M319 602 V0 H403 V602 v" + midHeight + " v1799 H0 v-84 H319z\nMM319 602 V0 H403 V602 v" + midHeight + " v1715 H319z"; + + case "lceil": + return "M403 1759 V84 H666 V0 H319 V1759 v" + midHeight + " v602 h84z\nM403 1759 V0 H319 V1759 v" + midHeight + " v602 h84z"; + + case "rceil": + return "M347 1759 V0 H0 V84 H263 V1759 v" + midHeight + " v602 h84z\nM347 1759 V0 h-84 V1759 v" + midHeight + " v602 h84z"; + + case "lparen": + return "M863,9c0,-2,-2,-5,-6,-9c0,0,-17,0,-17,0c-12.7,0,-19.3,0.3,-20,1\nc-5.3,5.3,-10.3,11,-15,17c-242.7,294.7,-395.3,682,-458,1162c-21.3,163.3,-33.3,349,\n-36,557 l0," + (midHeight + 84) + "c0.2,6,0,26,0,60c2,159.3,10,310.7,24,454c53.3,528,210,\n949.7,470,1265c4.7,6,9.7,11.7,15,17c0.7,0.7,7,1,19,1c0,0,18,0,18,0c4,-4,6,-7,6,-9\nc0,-2.7,-3.3,-8.7,-10,-18c-135.3,-192.7,-235.5,-414.3,-300.5,-665c-65,-250.7,-102.5,\n-544.7,-112.5,-882c-2,-104,-3,-167,-3,-189\nl0,-" + (midHeight + 92) + "c0,-162.7,5.7,-314,17,-454c20.7,-272,63.7,-513,129,-723c65.3,\n-210,155.3,-396.3,270,-559c6.7,-9.3,10,-15.3,10,-18z"; + + case "rparen": + return "M76,0c-16.7,0,-25,3,-25,9c0,2,2,6.3,6,13c21.3,28.7,42.3,60.3,\n63,95c96.7,156.7,172.8,332.5,228.5,527.5c55.7,195,92.8,416.5,111.5,664.5\nc11.3,139.3,17,290.7,17,454c0,28,1.7,43,3.3,45l0," + (midHeight + 9) + "\nc-3,4,-3.3,16.7,-3.3,38c0,162,-5.7,313.7,-17,455c-18.7,248,-55.8,469.3,-111.5,664\nc-55.7,194.7,-131.8,370.3,-228.5,527c-20.7,34.7,-41.7,66.3,-63,95c-2,3.3,-4,7,-6,11\nc0,7.3,5.7,11,17,11c0,0,11,0,11,0c9.3,0,14.3,-0.3,15,-1c5.3,-5.3,10.3,-11,15,-17\nc242.7,-294.7,395.3,-681.7,458,-1161c21.3,-164.7,33.3,-350.7,36,-558\nl0,-" + (midHeight + 144) + "c-2,-159.3,-10,-310.7,-24,-454c-53.3,-528,-210,-949.7,\n-470,-1265c-4.7,-6,-9.7,-11.7,-15,-17c-0.7,-0.7,-6.7,-1,-18,-1z"; + + default: + // We should not ever get here. + throw new Error("Unknown stretchy delimiter."); + } +}; +;// CONCATENATED MODULE: ./src/tree.js + + +/** + * This node represents a document fragment, which contains elements, but when + * placed into the DOM doesn't have any representation itself. It only contains + * children and doesn't have any DOM node properties. + */ +var DocumentFragment = /*#__PURE__*/function () { + // HtmlDomNode + // Never used; needed for satisfying interface. + function DocumentFragment(children) { + this.children = void 0; + this.classes = void 0; + this.height = void 0; + this.depth = void 0; + this.maxFontSize = void 0; + this.style = void 0; + this.children = children; + this.classes = []; + this.height = 0; + this.depth = 0; + this.maxFontSize = 0; + this.style = {}; + } + + var _proto = DocumentFragment.prototype; + + _proto.hasClass = function hasClass(className) { + return utils.contains(this.classes, className); + } + /** Convert the fragment into a node. */ + ; + + _proto.toNode = function toNode() { + var frag = document.createDocumentFragment(); + + for (var i = 0; i < this.children.length; i++) { + frag.appendChild(this.children[i].toNode()); + } + + return frag; + } + /** Convert the fragment into HTML markup. */ + ; + + _proto.toMarkup = function toMarkup() { + var markup = ""; // Simply concatenate the markup for the children together. + + for (var i = 0; i < this.children.length; i++) { + markup += this.children[i].toMarkup(); + } + + return markup; + } + /** + * Converts the math node into a string, similar to innerText. Applies to + * MathDomNode's only. + */ + ; + + _proto.toText = function toText() { + // To avoid this, we would subclass documentFragment separately for + // MathML, but polyfills for subclassing is expensive per PR 1469. + // $FlowFixMe: Only works for ChildType = MathDomNode. + var toText = function toText(child) { + return child.toText(); + }; + + return this.children.map(toText).join(""); + }; + + return DocumentFragment; +}(); +;// CONCATENATED MODULE: ./src/fontMetricsData.js +// This file is GENERATED by buildMetrics.sh. DO NOT MODIFY. +/* harmony default export */ var fontMetricsData = ({ + "AMS-Regular": { + "32": [0, 0, 0, 0, 0.25], + "65": [0, 0.68889, 0, 0, 0.72222], + "66": [0, 0.68889, 0, 0, 0.66667], + "67": [0, 0.68889, 0, 0, 0.72222], + "68": [0, 0.68889, 0, 0, 0.72222], + "69": [0, 0.68889, 0, 0, 0.66667], + "70": [0, 0.68889, 0, 0, 0.61111], + "71": [0, 0.68889, 0, 0, 0.77778], + "72": [0, 0.68889, 0, 0, 0.77778], + "73": [0, 0.68889, 0, 0, 0.38889], + "74": [0.16667, 0.68889, 0, 0, 0.5], + "75": [0, 0.68889, 0, 0, 0.77778], + "76": [0, 0.68889, 0, 0, 0.66667], + "77": [0, 0.68889, 0, 0, 0.94445], + "78": [0, 0.68889, 0, 0, 0.72222], + "79": [0.16667, 0.68889, 0, 0, 0.77778], + "80": [0, 0.68889, 0, 0, 0.61111], + "81": [0.16667, 0.68889, 0, 0, 0.77778], + "82": [0, 0.68889, 0, 0, 0.72222], + "83": [0, 0.68889, 0, 0, 0.55556], + "84": [0, 0.68889, 0, 0, 0.66667], + "85": [0, 0.68889, 0, 0, 0.72222], + "86": [0, 0.68889, 0, 0, 0.72222], + "87": [0, 0.68889, 0, 0, 1.0], + "88": [0, 0.68889, 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"728": [0, 0.61111, 0, 0, 0.525], + "730": [0, 0.61111, 0, 0, 0.525], + "770": [0, 0.61111, 0, 0, 0.525], + "771": [0, 0.61111, 0, 0, 0.525], + "776": [0, 0.61111, 0, 0, 0.525], + "915": [0, 0.61111, 0, 0, 0.525], + "916": [0, 0.61111, 0, 0, 0.525], + "920": [0, 0.61111, 0, 0, 0.525], + "923": [0, 0.61111, 0, 0, 0.525], + "926": [0, 0.61111, 0, 0, 0.525], + "928": [0, 0.61111, 0, 0, 0.525], + "931": [0, 0.61111, 0, 0, 0.525], + "933": [0, 0.61111, 0, 0, 0.525], + "934": [0, 0.61111, 0, 0, 0.525], + "936": [0, 0.61111, 0, 0, 0.525], + "937": [0, 0.61111, 0, 0, 0.525], + "8216": [0, 0.61111, 0, 0, 0.525], + "8217": [0, 0.61111, 0, 0, 0.525], + "8242": [0, 0.61111, 0, 0, 0.525], + "9251": [0.11111, 0.21944, 0, 0, 0.525] + } +}); +;// CONCATENATED MODULE: ./src/fontMetrics.js + + +/** + * This file contains metrics regarding fonts and individual symbols. The sigma + * and xi variables, as well as the metricMap map contain data extracted from + * TeX, TeX font metrics, and the TTF files. These data are then exposed via the + * `metrics` variable and the getCharacterMetrics function. + */ +// In TeX, there are actually three sets of dimensions, one for each of +// textstyle (size index 5 and higher: >=9pt), scriptstyle (size index 3 and 4: +// 7-8pt), and scriptscriptstyle (size index 1 and 2: 5-6pt). These are +// provided in the the arrays below, in that order. +// +// The font metrics are stored in fonts cmsy10, cmsy7, and cmsy5 respsectively. +// This was determined by running the following script: +// +// latex -interaction=nonstopmode \ +// '\documentclass{article}\usepackage{amsmath}\begin{document}' \ +// '$a$ \expandafter\show\the\textfont2' \ +// '\expandafter\show\the\scriptfont2' \ +// '\expandafter\show\the\scriptscriptfont2' \ +// '\stop' +// +// The metrics themselves were retreived using the following commands: +// +// tftopl cmsy10 +// tftopl cmsy7 +// tftopl cmsy5 +// +// The output of each of these commands is quite lengthy. The only part we +// care about is the FONTDIMEN section. Each value is measured in EMs. +var sigmasAndXis = { + slant: [0.250, 0.250, 0.250], + // sigma1 + space: [0.000, 0.000, 0.000], + // sigma2 + stretch: [0.000, 0.000, 0.000], + // sigma3 + shrink: [0.000, 0.000, 0.000], + // sigma4 + xHeight: [0.431, 0.431, 0.431], + // sigma5 + quad: [1.000, 1.171, 1.472], + // sigma6 + extraSpace: [0.000, 0.000, 0.000], + // sigma7 + num1: [0.677, 0.732, 0.925], + // sigma8 + num2: [0.394, 0.384, 0.387], + // sigma9 + num3: [0.444, 0.471, 0.504], + // sigma10 + denom1: [0.686, 0.752, 1.025], + // sigma11 + denom2: [0.345, 0.344, 0.532], + // sigma12 + sup1: [0.413, 0.503, 0.504], + // sigma13 + sup2: [0.363, 0.431, 0.404], + // sigma14 + sup3: [0.289, 0.286, 0.294], + // sigma15 + sub1: [0.150, 0.143, 0.200], + // sigma16 + sub2: [0.247, 0.286, 0.400], + // sigma17 + supDrop: [0.386, 0.353, 0.494], + // sigma18 + subDrop: [0.050, 0.071, 0.100], + // sigma19 + delim1: [2.390, 1.700, 1.980], + // sigma20 + delim2: [1.010, 1.157, 1.420], + // sigma21 + axisHeight: [0.250, 0.250, 0.250], + // sigma22 + // These font metrics are extracted from TeX by using tftopl on cmex10.tfm; + // they correspond to the font parameters of the extension fonts (family 3). + // See the TeXbook, page 441. In AMSTeX, the extension fonts scale; to + // match cmex7, we'd use cmex7.tfm values for script and scriptscript + // values. + defaultRuleThickness: [0.04, 0.049, 0.049], + // xi8; cmex7: 0.049 + bigOpSpacing1: [0.111, 0.111, 0.111], + // xi9 + bigOpSpacing2: [0.166, 0.166, 0.166], + // xi10 + bigOpSpacing3: [0.2, 0.2, 0.2], + // xi11 + bigOpSpacing4: [0.6, 0.611, 0.611], + // xi12; cmex7: 0.611 + bigOpSpacing5: [0.1, 0.143, 0.143], + // xi13; cmex7: 0.143 + // The \sqrt rule width is taken from the height of the surd character. + // Since we use the same font at all sizes, this thickness doesn't scale. + sqrtRuleThickness: [0.04, 0.04, 0.04], + // This value determines how large a pt is, for metrics which are defined + // in terms of pts. + // This value is also used in katex.less; if you change it make sure the + // values match. + ptPerEm: [10.0, 10.0, 10.0], + // The space between adjacent `|` columns in an array definition. From + // `\showthe\doublerulesep` in LaTeX. Equals 2.0 / ptPerEm. + doubleRuleSep: [0.2, 0.2, 0.2], + // The width of separator lines in {array} environments. From + // `\showthe\arrayrulewidth` in LaTeX. Equals 0.4 / ptPerEm. + arrayRuleWidth: [0.04, 0.04, 0.04], + // Two values from LaTeX source2e: + fboxsep: [0.3, 0.3, 0.3], + // 3 pt / ptPerEm + fboxrule: [0.04, 0.04, 0.04] // 0.4 pt / ptPerEm + +}; // This map contains a mapping from font name and character code to character +// metrics, including height, depth, italic correction, and skew (kern from the +// character to the corresponding \skewchar) +// This map is generated via `make metrics`. It should not be changed manually. + + // These are very rough approximations. We default to Times New Roman which +// should have Latin-1 and Cyrillic characters, but may not depending on the +// operating system. The metrics do not account for extra height from the +// accents. In the case of Cyrillic characters which have both ascenders and +// descenders we prefer approximations with ascenders, primarily to prevent +// the fraction bar or root line from intersecting the glyph. +// TODO(kevinb) allow union of multiple glyph metrics for better accuracy. + +var extraCharacterMap = { + // Latin-1 + 'Å': 'A', + 'Ð': 'D', + 'Þ': 'o', + 'å': 'a', + 'ð': 'd', + 'þ': 'o', + // Cyrillic + 'А': 'A', + 'Б': 'B', + 'В': 'B', + 'Г': 'F', + 'Д': 'A', + 'Е': 'E', + 'Ж': 'K', + 'З': '3', + 'И': 'N', + 'Й': 'N', + 'К': 'K', + 'Л': 'N', + 'М': 'M', + 'Н': 'H', + 'О': 'O', + 'П': 'N', + 'Р': 'P', + 'С': 'C', + 'Т': 'T', + 'У': 'y', + 'Ф': 'O', + 'Х': 'X', + 'Ц': 'U', + 'Ч': 'h', + 'Ш': 'W', + 'Щ': 'W', + 'Ъ': 'B', + 'Ы': 'X', + 'Ь': 'B', + 'Э': '3', + 'Ю': 'X', + 'Я': 'R', + 'а': 'a', + 'б': 'b', + 'в': 'a', + 'г': 'r', + 'д': 'y', + 'е': 'e', + 'ж': 'm', + 'з': 'e', + 'и': 'n', + 'й': 'n', + 'к': 'n', + 'л': 'n', + 'м': 'm', + 'н': 'n', + 'о': 'o', + 'п': 'n', + 'р': 'p', + 'с': 'c', + 'т': 'o', + 'у': 'y', + 'ф': 'b', + 'х': 'x', + 'ц': 'n', + 'ч': 'n', + 'ш': 'w', + 'щ': 'w', + 'ъ': 'a', + 'ы': 'm', + 'ь': 'a', + 'э': 'e', + 'ю': 'm', + 'я': 'r' +}; + +/** + * This function adds new font metrics to default metricMap + * It can also override existing metrics + */ +function setFontMetrics(fontName, metrics) { + fontMetricsData[fontName] = metrics; +} +/** + * This function is a convenience function for looking up information in the + * metricMap table. It takes a character as a string, and a font. + * + * Note: the `width` property may be undefined if fontMetricsData.js wasn't + * built using `Make extended_metrics`. + */ + +function getCharacterMetrics(character, font, mode) { + if (!fontMetricsData[font]) { + throw new Error("Font metrics not found for font: " + font + "."); + } + + var ch = character.charCodeAt(0); + var metrics = fontMetricsData[font][ch]; + + if (!metrics && character[0] in extraCharacterMap) { + ch = extraCharacterMap[character[0]].charCodeAt(0); + metrics = fontMetricsData[font][ch]; + } + + if (!metrics && mode === 'text') { + // We don't typically have font metrics for Asian scripts. + // But since we support them in text mode, we need to return + // some sort of metrics. + // So if the character is in a script we support but we + // don't have metrics for it, just use the metrics for + // the Latin capital letter M. This is close enough because + // we (currently) only care about the height of the glpyh + // not its width. + if (supportedCodepoint(ch)) { + metrics = fontMetricsData[font][77]; // 77 is the charcode for 'M' + } + } + + if (metrics) { + return { + depth: metrics[0], + height: metrics[1], + italic: metrics[2], + skew: metrics[3], + width: metrics[4] + }; + } +} +var fontMetricsBySizeIndex = {}; +/** + * Get the font metrics for a given size. + */ + +function getGlobalMetrics(size) { + var sizeIndex; + + if (size >= 5) { + sizeIndex = 0; + } else if (size >= 3) { + sizeIndex = 1; + } else { + sizeIndex = 2; + } + + if (!fontMetricsBySizeIndex[sizeIndex]) { + var metrics = fontMetricsBySizeIndex[sizeIndex] = { + cssEmPerMu: sigmasAndXis.quad[sizeIndex] / 18 + }; + + for (var key in sigmasAndXis) { + if (sigmasAndXis.hasOwnProperty(key)) { + metrics[key] = sigmasAndXis[key][sizeIndex]; + } + } + } + + return fontMetricsBySizeIndex[sizeIndex]; +} +;// CONCATENATED MODULE: ./src/Options.js +/** + * This file contains information about the options that the Parser carries + * around with it while parsing. Data is held in an `Options` object, and when + * recursing, a new `Options` object can be created with the `.with*` and + * `.reset` functions. + */ + +var sizeStyleMap = [// Each element contains [textsize, scriptsize, scriptscriptsize]. +// The size mappings are taken from TeX with \normalsize=10pt. +[1, 1, 1], // size1: [5, 5, 5] \tiny +[2, 1, 1], // size2: [6, 5, 5] +[3, 1, 1], // size3: [7, 5, 5] \scriptsize +[4, 2, 1], // size4: [8, 6, 5] \footnotesize +[5, 2, 1], // size5: [9, 6, 5] \small +[6, 3, 1], // size6: [10, 7, 5] \normalsize +[7, 4, 2], // size7: [12, 8, 6] \large +[8, 6, 3], // size8: [14.4, 10, 7] \Large +[9, 7, 6], // size9: [17.28, 12, 10] \LARGE +[10, 8, 7], // size10: [20.74, 14.4, 12] \huge +[11, 10, 9] // size11: [24.88, 20.74, 17.28] \HUGE +]; +var sizeMultipliers = [// fontMetrics.js:getGlobalMetrics also uses size indexes, so if +// you change size indexes, change that function. +0.5, 0.6, 0.7, 0.8, 0.9, 1.0, 1.2, 1.44, 1.728, 2.074, 2.488]; + +var sizeAtStyle = function sizeAtStyle(size, style) { + return style.size < 2 ? size : sizeStyleMap[size - 1][style.size - 1]; +}; // In these types, "" (empty string) means "no change". + + +/** + * This is the main options class. It contains the current style, size, color, + * and font. + * + * Options objects should not be modified. To create a new Options with + * different properties, call a `.having*` method. + */ +var Options = /*#__PURE__*/function () { + // A font family applies to a group of fonts (i.e. SansSerif), while a font + // represents a specific font (i.e. SansSerif Bold). + // See: https://tex.stackexchange.com/questions/22350/difference-between-textrm-and-mathrm + + /** + * The base size index. + */ + function Options(data) { + this.style = void 0; + this.color = void 0; + this.size = void 0; + this.textSize = void 0; + this.phantom = void 0; + this.font = void 0; + this.fontFamily = void 0; + this.fontWeight = void 0; + this.fontShape = void 0; + this.sizeMultiplier = void 0; + this.maxSize = void 0; + this.minRuleThickness = void 0; + this._fontMetrics = void 0; + this.style = data.style; + this.color = data.color; + this.size = data.size || Options.BASESIZE; + this.textSize = data.textSize || this.size; + this.phantom = !!data.phantom; + this.font = data.font || ""; + this.fontFamily = data.fontFamily || ""; + this.fontWeight = data.fontWeight || ''; + this.fontShape = data.fontShape || ''; + this.sizeMultiplier = sizeMultipliers[this.size - 1]; + this.maxSize = data.maxSize; + this.minRuleThickness = data.minRuleThickness; + this._fontMetrics = undefined; + } + /** + * Returns a new options object with the same properties as "this". Properties + * from "extension" will be copied to the new options object. + */ + + + var _proto = Options.prototype; + + _proto.extend = function extend(extension) { + var data = { + style: this.style, + size: this.size, + textSize: this.textSize, + color: this.color, + phantom: this.phantom, + font: this.font, + fontFamily: this.fontFamily, + fontWeight: this.fontWeight, + fontShape: this.fontShape, + maxSize: this.maxSize, + minRuleThickness: this.minRuleThickness + }; + + for (var key in extension) { + if (extension.hasOwnProperty(key)) { + data[key] = extension[key]; + } + } + + return new Options(data); + } + /** + * Return an options object with the given style. If `this.style === style`, + * returns `this`. + */ + ; + + _proto.havingStyle = function havingStyle(style) { + if (this.style === style) { + return this; + } else { + return this.extend({ + style: style, + size: sizeAtStyle(this.textSize, style) + }); + } + } + /** + * Return an options object with a cramped version of the current style. If + * the current style is cramped, returns `this`. + */ + ; + + _proto.havingCrampedStyle = function havingCrampedStyle() { + return this.havingStyle(this.style.cramp()); + } + /** + * Return an options object with the given size and in at least `\textstyle`. + * Returns `this` if appropriate. + */ + ; + + _proto.havingSize = function havingSize(size) { + if (this.size === size && this.textSize === size) { + return this; + } else { + return this.extend({ + style: this.style.text(), + size: size, + textSize: size, + sizeMultiplier: sizeMultipliers[size - 1] + }); + } + } + /** + * Like `this.havingSize(BASESIZE).havingStyle(style)`. If `style` is omitted, + * changes to at least `\textstyle`. + */ + ; + + _proto.havingBaseStyle = function havingBaseStyle(style) { + style = style || this.style.text(); + var wantSize = sizeAtStyle(Options.BASESIZE, style); + + if (this.size === wantSize && this.textSize === Options.BASESIZE && this.style === style) { + return this; + } else { + return this.extend({ + style: style, + size: wantSize + }); + } + } + /** + * Remove the effect of sizing changes such as \Huge. + * Keep the effect of the current style, such as \scriptstyle. + */ + ; + + _proto.havingBaseSizing = function havingBaseSizing() { + var size; + + switch (this.style.id) { + case 4: + case 5: + size = 3; // normalsize in scriptstyle + + break; + + case 6: + case 7: + size = 1; // normalsize in scriptscriptstyle + + break; + + default: + size = 6; + // normalsize in textstyle or displaystyle + } + + return this.extend({ + style: this.style.text(), + size: size + }); + } + /** + * Create a new options object with the given color. + */ + ; + + _proto.withColor = function withColor(color) { + return this.extend({ + color: color + }); + } + /** + * Create a new options object with "phantom" set to true. + */ + ; + + _proto.withPhantom = function withPhantom() { + return this.extend({ + phantom: true + }); + } + /** + * Creates a new options object with the given math font or old text font. + * @type {[type]} + */ + ; + + _proto.withFont = function withFont(font) { + return this.extend({ + font: font + }); + } + /** + * Create a new options objects with the given fontFamily. + */ + ; + + _proto.withTextFontFamily = function withTextFontFamily(fontFamily) { + return this.extend({ + fontFamily: fontFamily, + font: "" + }); + } + /** + * Creates a new options object with the given font weight + */ + ; + + _proto.withTextFontWeight = function withTextFontWeight(fontWeight) { + return this.extend({ + fontWeight: fontWeight, + font: "" + }); + } + /** + * Creates a new options object with the given font weight + */ + ; + + _proto.withTextFontShape = function withTextFontShape(fontShape) { + return this.extend({ + fontShape: fontShape, + font: "" + }); + } + /** + * Return the CSS sizing classes required to switch from enclosing options + * `oldOptions` to `this`. Returns an array of classes. + */ + ; + + _proto.sizingClasses = function sizingClasses(oldOptions) { + if (oldOptions.size !== this.size) { + return ["sizing", "reset-size" + oldOptions.size, "size" + this.size]; + } else { + return []; + } + } + /** + * Return the CSS sizing classes required to switch to the base size. Like + * `this.havingSize(BASESIZE).sizingClasses(this)`. + */ + ; + + _proto.baseSizingClasses = function baseSizingClasses() { + if (this.size !== Options.BASESIZE) { + return ["sizing", "reset-size" + this.size, "size" + Options.BASESIZE]; + } else { + return []; + } + } + /** + * Return the font metrics for this size. + */ + ; + + _proto.fontMetrics = function fontMetrics() { + if (!this._fontMetrics) { + this._fontMetrics = getGlobalMetrics(this.size); + } + + return this._fontMetrics; + } + /** + * Gets the CSS color of the current options object + */ + ; + + _proto.getColor = function getColor() { + if (this.phantom) { + return "transparent"; + } else { + return this.color; + } + }; + + return Options; +}(); + +Options.BASESIZE = 6; +/* harmony default export */ var src_Options = (Options); +;// CONCATENATED MODULE: ./src/units.js +/** + * This file does conversion between units. In particular, it provides + * calculateSize to convert other units into ems. + */ + + // This table gives the number of TeX pts in one of each *absolute* TeX unit. +// Thus, multiplying a length by this number converts the length from units +// into pts. Dividing the result by ptPerEm gives the number of ems +// *assuming* a font size of ptPerEm (normal size, normal style). + +var ptPerUnit = { + // https://en.wikibooks.org/wiki/LaTeX/Lengths and + // https://tex.stackexchange.com/a/8263 + "pt": 1, + // TeX point + "mm": 7227 / 2540, + // millimeter + "cm": 7227 / 254, + // centimeter + "in": 72.27, + // inch + "bp": 803 / 800, + // big (PostScript) points + "pc": 12, + // pica + "dd": 1238 / 1157, + // didot + "cc": 14856 / 1157, + // cicero (12 didot) + "nd": 685 / 642, + // new didot + "nc": 1370 / 107, + // new cicero (12 new didot) + "sp": 1 / 65536, + // scaled point (TeX's internal smallest unit) + // https://tex.stackexchange.com/a/41371 + "px": 803 / 800 // \pdfpxdimen defaults to 1 bp in pdfTeX and LuaTeX + +}; // Dictionary of relative units, for fast validity testing. + +var relativeUnit = { + "ex": true, + "em": true, + "mu": true +}; + +/** + * Determine whether the specified unit (either a string defining the unit + * or a "size" parse node containing a unit field) is valid. + */ +var validUnit = function validUnit(unit) { + if (typeof unit !== "string") { + unit = unit.unit; + } + + return unit in ptPerUnit || unit in relativeUnit || unit === "ex"; +}; +/* + * Convert a "size" parse node (with numeric "number" and string "unit" fields, + * as parsed by functions.js argType "size") into a CSS em value for the + * current style/scale. `options` gives the current options. + */ + +var calculateSize = function calculateSize(sizeValue, options) { + var scale; + + if (sizeValue.unit in ptPerUnit) { + // Absolute units + scale = ptPerUnit[sizeValue.unit] // Convert unit to pt + / options.fontMetrics().ptPerEm // Convert pt to CSS em + / options.sizeMultiplier; // Unscale to make absolute units + } else if (sizeValue.unit === "mu") { + // `mu` units scale with scriptstyle/scriptscriptstyle. + scale = options.fontMetrics().cssEmPerMu; + } else { + // Other relative units always refer to the *textstyle* font + // in the current size. + var unitOptions; + + if (options.style.isTight()) { + // isTight() means current style is script/scriptscript. + unitOptions = options.havingStyle(options.style.text()); + } else { + unitOptions = options; + } // TODO: In TeX these units are relative to the quad of the current + // *text* font, e.g. cmr10. KaTeX instead uses values from the + // comparably-sized *Computer Modern symbol* font. At 10pt, these + // match. At 7pt and 5pt, they differ: cmr7=1.138894, cmsy7=1.170641; + // cmr5=1.361133, cmsy5=1.472241. Consider $\scriptsize a\kern1emb$. + // TeX \showlists shows a kern of 1.13889 * fontsize; + // KaTeX shows a kern of 1.171 * fontsize. + + + if (sizeValue.unit === "ex") { + scale = unitOptions.fontMetrics().xHeight; + } else if (sizeValue.unit === "em") { + scale = unitOptions.fontMetrics().quad; + } else { + throw new src_ParseError("Invalid unit: '" + sizeValue.unit + "'"); + } + + if (unitOptions !== options) { + scale *= unitOptions.sizeMultiplier / options.sizeMultiplier; + } + } + + return Math.min(sizeValue.number * scale, options.maxSize); +}; +/** + * Round `n` to 4 decimal places, or to the nearest 1/10,000th em. See + * https://github.com/KaTeX/KaTeX/pull/2460. + */ + +var makeEm = function makeEm(n) { + return +n.toFixed(4) + "em"; +}; +;// CONCATENATED MODULE: ./src/domTree.js +/** + * These objects store the data about the DOM nodes we create, as well as some + * extra data. They can then be transformed into real DOM nodes with the + * `toNode` function or HTML markup using `toMarkup`. They are useful for both + * storing extra properties on the nodes, as well as providing a way to easily + * work with the DOM. + * + * Similar functions for working with MathML nodes exist in mathMLTree.js. + * + * TODO: refactor `span` and `anchor` into common superclass when + * target environments support class inheritance + */ + + + + + + +/** + * Create an HTML className based on a list of classes. In addition to joining + * with spaces, we also remove empty classes. + */ +var createClass = function createClass(classes) { + return classes.filter(function (cls) { + return cls; + }).join(" "); +}; + +var initNode = function initNode(classes, options, style) { + this.classes = classes || []; + this.attributes = {}; + this.height = 0; + this.depth = 0; + this.maxFontSize = 0; + this.style = style || {}; + + if (options) { + if (options.style.isTight()) { + this.classes.push("mtight"); + } + + var color = options.getColor(); + + if (color) { + this.style.color = color; + } + } +}; +/** + * Convert into an HTML node + */ + + +var _toNode = function toNode(tagName) { + var node = document.createElement(tagName); // Apply the class + + node.className = createClass(this.classes); // Apply inline styles + + for (var style in this.style) { + if (this.style.hasOwnProperty(style)) { + // $FlowFixMe Flow doesn't seem to understand span.style's type. + node.style[style] = this.style[style]; + } + } // Apply attributes + + + for (var attr in this.attributes) { + if (this.attributes.hasOwnProperty(attr)) { + node.setAttribute(attr, this.attributes[attr]); + } + } // Append the children, also as HTML nodes + + + for (var i = 0; i < this.children.length; i++) { + node.appendChild(this.children[i].toNode()); + } + + return node; +}; +/** + * Convert into an HTML markup string + */ + + +var _toMarkup = function toMarkup(tagName) { + var markup = "<" + tagName; // Add the class + + if (this.classes.length) { + markup += " class=\"" + utils.escape(createClass(this.classes)) + "\""; + } + + var styles = ""; // Add the styles, after hyphenation + + for (var style in this.style) { + if (this.style.hasOwnProperty(style)) { + styles += utils.hyphenate(style) + ":" + this.style[style] + ";"; + } + } + + if (styles) { + markup += " style=\"" + utils.escape(styles) + "\""; + } // Add the attributes + + + for (var attr in this.attributes) { + if (this.attributes.hasOwnProperty(attr)) { + markup += " " + attr + "=\"" + utils.escape(this.attributes[attr]) + "\""; + } + } + + markup += ">"; // Add the markup of the children, also as markup + + for (var i = 0; i < this.children.length; i++) { + markup += this.children[i].toMarkup(); + } + + markup += ""; + return markup; +}; // Making the type below exact with all optional fields doesn't work due to +// - https://github.com/facebook/flow/issues/4582 +// - https://github.com/facebook/flow/issues/5688 +// However, since *all* fields are optional, $Shape<> works as suggested in 5688 +// above. +// This type does not include all CSS properties. Additional properties should +// be added as needed. + + +/** + * This node represents a span node, with a className, a list of children, and + * an inline style. It also contains information about its height, depth, and + * maxFontSize. + * + * Represents two types with different uses: SvgSpan to wrap an SVG and DomSpan + * otherwise. This typesafety is important when HTML builders access a span's + * children. + */ +var Span = /*#__PURE__*/function () { + function Span(classes, children, options, style) { + this.children = void 0; + this.attributes = void 0; + this.classes = void 0; + this.height = void 0; + this.depth = void 0; + this.width = void 0; + this.maxFontSize = void 0; + this.style = void 0; + initNode.call(this, classes, options, style); + this.children = children || []; + } + /** + * Sets an arbitrary attribute on the span. Warning: use this wisely. Not + * all browsers support attributes the same, and having too many custom + * attributes is probably bad. + */ + + + var _proto = Span.prototype; + + _proto.setAttribute = function setAttribute(attribute, value) { + this.attributes[attribute] = value; + }; + + _proto.hasClass = function hasClass(className) { + return utils.contains(this.classes, className); + }; + + _proto.toNode = function toNode() { + return _toNode.call(this, "span"); + }; + + _proto.toMarkup = function toMarkup() { + return _toMarkup.call(this, "span"); + }; + + return Span; +}(); +/** + * This node represents an anchor () element with a hyperlink. See `span` + * for further details. + */ + +var Anchor = /*#__PURE__*/function () { + function Anchor(href, classes, children, options) { + this.children = void 0; + this.attributes = void 0; + this.classes = void 0; + this.height = void 0; + this.depth = void 0; + this.maxFontSize = void 0; + this.style = void 0; + initNode.call(this, classes, options); + this.children = children || []; + this.setAttribute('href', href); + } + + var _proto2 = Anchor.prototype; + + _proto2.setAttribute = function setAttribute(attribute, value) { + this.attributes[attribute] = value; + }; + + _proto2.hasClass = function hasClass(className) { + return utils.contains(this.classes, className); + }; + + _proto2.toNode = function toNode() { + return _toNode.call(this, "a"); + }; + + _proto2.toMarkup = function toMarkup() { + return _toMarkup.call(this, "a"); + }; + + return Anchor; +}(); +/** + * This node represents an image embed () element. + */ + +var Img = /*#__PURE__*/function () { + function Img(src, alt, style) { + this.src = void 0; + this.alt = void 0; + this.classes = void 0; + this.height = void 0; + this.depth = void 0; + this.maxFontSize = void 0; + this.style = void 0; + this.alt = alt; + this.src = src; + this.classes = ["mord"]; + this.style = style; + } + + var _proto3 = Img.prototype; + + _proto3.hasClass = function hasClass(className) { + return utils.contains(this.classes, className); + }; + + _proto3.toNode = function toNode() { + var node = document.createElement("img"); + node.src = this.src; + node.alt = this.alt; + node.className = "mord"; // Apply inline styles + + for (var style in this.style) { + if (this.style.hasOwnProperty(style)) { + // $FlowFixMe + node.style[style] = this.style[style]; + } + } + + return node; + }; + + _proto3.toMarkup = function toMarkup() { + var markup = "" + this.alt + " 0) { + span = document.createElement("span"); + span.style.marginRight = makeEm(this.italic); + } + + if (this.classes.length > 0) { + span = span || document.createElement("span"); + span.className = createClass(this.classes); + } + + for (var style in this.style) { + if (this.style.hasOwnProperty(style)) { + span = span || document.createElement("span"); // $FlowFixMe Flow doesn't seem to understand span.style's type. + + span.style[style] = this.style[style]; + } + } + + if (span) { + span.appendChild(node); + return span; + } else { + return node; + } + } + /** + * Creates markup for a symbol node. + */ + ; + + _proto4.toMarkup = function toMarkup() { + // TODO(alpert): More duplication than I'd like from + // span.prototype.toMarkup and symbolNode.prototype.toNode... + var needsSpan = false; + var markup = " 0) { + styles += "margin-right:" + this.italic + "em;"; + } + + for (var style in this.style) { + if (this.style.hasOwnProperty(style)) { + styles += utils.hyphenate(style) + ":" + this.style[style] + ";"; + } + } + + if (styles) { + needsSpan = true; + markup += " style=\"" + utils.escape(styles) + "\""; + } + + var escaped = utils.escape(this.text); + + if (needsSpan) { + markup += ">"; + markup += escaped; + markup += ""; + return markup; + } else { + return escaped; + } + }; + + return SymbolNode; +}(); +/** + * SVG nodes are used to render stretchy wide elements. + */ + +var SvgNode = /*#__PURE__*/function () { + function SvgNode(children, attributes) { + this.children = void 0; + this.attributes = void 0; + this.children = children || []; + this.attributes = attributes || {}; + } + + var _proto5 = SvgNode.prototype; + + _proto5.toNode = function toNode() { + var svgNS = "http://www.w3.org/2000/svg"; + var node = document.createElementNS(svgNS, "svg"); // Apply attributes + + for (var attr in this.attributes) { + if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) { + node.setAttribute(attr, this.attributes[attr]); + } + } + + for (var i = 0; i < this.children.length; i++) { + node.appendChild(this.children[i].toNode()); + } + + return node; + }; + + _proto5.toMarkup = function toMarkup() { + var markup = ""; + } else { + return ""; + } + }; + + return PathNode; +}(); +var LineNode = /*#__PURE__*/function () { + function LineNode(attributes) { + this.attributes = void 0; + this.attributes = attributes || {}; + } + + var _proto7 = LineNode.prototype; + + _proto7.toNode = function toNode() { + var svgNS = "http://www.w3.org/2000/svg"; + var node = document.createElementNS(svgNS, "line"); // Apply attributes + + for (var attr in this.attributes) { + if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) { + node.setAttribute(attr, this.attributes[attr]); + } + } + + return node; + }; + + _proto7.toMarkup = function toMarkup() { + var markup = " but got " + String(group) + "."); + } +} +;// CONCATENATED MODULE: ./src/symbols.js +/** + * This file holds a list of all no-argument functions and single-character + * symbols (like 'a' or ';'). + * + * For each of the symbols, there are three properties they can have: + * - font (required): the font to be used for this symbol. Either "main" (the + normal font), or "ams" (the ams fonts). + * - group (required): the ParseNode group type the symbol should have (i.e. + "textord", "mathord", etc). + See https://github.com/KaTeX/KaTeX/wiki/Examining-TeX#group-types + * - replace: the character that this symbol or function should be + * replaced with (i.e. "\phi" has a replace value of "\u03d5", the phi + * character in the main font). + * + * The outermost map in the table indicates what mode the symbols should be + * accepted in (e.g. "math" or "text"). + */ +// Some of these have a "-token" suffix since these are also used as `ParseNode` +// types for raw text tokens, and we want to avoid conflicts with higher-level +// `ParseNode` types. These `ParseNode`s are constructed within `Parser` by +// looking up the `symbols` map. +var ATOMS = { + "bin": 1, + "close": 1, + "inner": 1, + "open": 1, + "punct": 1, + "rel": 1 +}; +var NON_ATOMS = { + "accent-token": 1, + "mathord": 1, + "op-token": 1, + "spacing": 1, + "textord": 1 +}; +var symbols = { + "math": {}, + "text": {} +}; +/* harmony default export */ var src_symbols = (symbols); +/** `acceptUnicodeChar = true` is only applicable if `replace` is set. */ + +function defineSymbol(mode, font, group, replace, name, acceptUnicodeChar) { + symbols[mode][name] = { + font: font, + group: group, + replace: replace + }; + + if (acceptUnicodeChar && replace) { + symbols[mode][replace] = symbols[mode][name]; + } +} // Some abbreviations for commonly used strings. +// This helps minify the code, and also spotting typos using jshint. +// modes: + +var math = "math"; +var symbols_text = "text"; // fonts: + +var main = "main"; +var ams = "ams"; // groups: + +var accent = "accent-token"; +var bin = "bin"; +var symbols_close = "close"; +var inner = "inner"; +var mathord = "mathord"; +var op = "op-token"; +var symbols_open = "open"; +var punct = "punct"; +var rel = "rel"; +var spacing = "spacing"; +var textord = "textord"; // Now comes the symbol table +// Relation Symbols + +defineSymbol(math, main, rel, "\u2261", "\\equiv", true); +defineSymbol(math, main, rel, "\u227A", "\\prec", true); +defineSymbol(math, main, rel, "\u227B", "\\succ", true); +defineSymbol(math, main, rel, "\u223C", "\\sim", true); +defineSymbol(math, main, rel, "\u22A5", "\\perp"); +defineSymbol(math, main, rel, "\u2AAF", "\\preceq", true); +defineSymbol(math, main, rel, "\u2AB0", "\\succeq", true); +defineSymbol(math, main, rel, "\u2243", "\\simeq", true); +defineSymbol(math, main, rel, "\u2223", "\\mid", true); +defineSymbol(math, main, rel, "\u226A", "\\ll", true); +defineSymbol(math, main, rel, "\u226B", "\\gg", true); +defineSymbol(math, main, rel, "\u224D", "\\asymp", true); +defineSymbol(math, main, rel, "\u2225", "\\parallel"); +defineSymbol(math, main, rel, "\u22C8", "\\bowtie", true); +defineSymbol(math, main, rel, "\u2323", "\\smile", true); +defineSymbol(math, main, rel, "\u2291", "\\sqsubseteq", true); +defineSymbol(math, main, rel, "\u2292", "\\sqsupseteq", true); +defineSymbol(math, main, rel, "\u2250", "\\doteq", true); +defineSymbol(math, main, rel, "\u2322", "\\frown", true); +defineSymbol(math, main, rel, "\u220B", "\\ni", true); +defineSymbol(math, main, rel, "\u221D", "\\propto", true); +defineSymbol(math, main, rel, "\u22A2", "\\vdash", true); +defineSymbol(math, main, rel, "\u22A3", "\\dashv", true); +defineSymbol(math, main, rel, "\u220B", "\\owns"); // Punctuation + +defineSymbol(math, main, punct, ".", "\\ldotp"); +defineSymbol(math, main, punct, "\u22C5", "\\cdotp"); // Misc Symbols + +defineSymbol(math, main, textord, "#", "\\#"); +defineSymbol(symbols_text, main, textord, "#", "\\#"); +defineSymbol(math, main, textord, "&", "\\&"); +defineSymbol(symbols_text, main, textord, "&", "\\&"); +defineSymbol(math, main, textord, "\u2135", "\\aleph", true); +defineSymbol(math, main, textord, "\u2200", "\\forall", true); +defineSymbol(math, main, textord, "\u210F", "\\hbar", true); +defineSymbol(math, main, textord, "\u2203", "\\exists", true); +defineSymbol(math, main, textord, "\u2207", "\\nabla", true); +defineSymbol(math, main, textord, "\u266D", "\\flat", true); +defineSymbol(math, main, textord, "\u2113", "\\ell", true); +defineSymbol(math, main, textord, "\u266E", "\\natural", true); +defineSymbol(math, main, textord, "\u2663", "\\clubsuit", true); +defineSymbol(math, main, textord, "\u2118", "\\wp", true); +defineSymbol(math, main, textord, "\u266F", "\\sharp", true); +defineSymbol(math, main, textord, "\u2662", "\\diamondsuit", true); +defineSymbol(math, main, textord, "\u211C", "\\Re", true); +defineSymbol(math, main, textord, "\u2661", "\\heartsuit", true); +defineSymbol(math, main, textord, "\u2111", "\\Im", true); +defineSymbol(math, main, textord, "\u2660", "\\spadesuit", true); +defineSymbol(math, main, textord, "\xA7", "\\S", true); +defineSymbol(symbols_text, main, textord, "\xA7", "\\S"); +defineSymbol(math, main, textord, "\xB6", "\\P", true); +defineSymbol(symbols_text, main, textord, "\xB6", "\\P"); // Math and Text + +defineSymbol(math, main, textord, "\u2020", "\\dag"); +defineSymbol(symbols_text, main, textord, "\u2020", "\\dag"); +defineSymbol(symbols_text, main, textord, "\u2020", "\\textdagger"); +defineSymbol(math, main, textord, "\u2021", "\\ddag"); +defineSymbol(symbols_text, main, textord, "\u2021", "\\ddag"); +defineSymbol(symbols_text, main, textord, "\u2021", "\\textdaggerdbl"); // Large Delimiters + +defineSymbol(math, main, symbols_close, "\u23B1", "\\rmoustache", true); +defineSymbol(math, main, symbols_open, "\u23B0", "\\lmoustache", true); +defineSymbol(math, main, symbols_close, "\u27EF", "\\rgroup", true); +defineSymbol(math, main, symbols_open, "\u27EE", "\\lgroup", true); // Binary Operators + +defineSymbol(math, main, bin, "\u2213", "\\mp", true); +defineSymbol(math, main, bin, "\u2296", "\\ominus", true); +defineSymbol(math, main, bin, "\u228E", "\\uplus", true); +defineSymbol(math, main, bin, "\u2293", "\\sqcap", true); +defineSymbol(math, main, bin, "\u2217", "\\ast"); +defineSymbol(math, main, bin, "\u2294", "\\sqcup", true); +defineSymbol(math, main, bin, "\u25EF", "\\bigcirc", true); +defineSymbol(math, main, bin, "\u2219", "\\bullet", true); +defineSymbol(math, main, bin, "\u2021", "\\ddagger"); +defineSymbol(math, main, bin, "\u2240", "\\wr", true); +defineSymbol(math, main, bin, "\u2A3F", "\\amalg"); +defineSymbol(math, main, bin, "&", "\\And"); // from amsmath +// Arrow Symbols + +defineSymbol(math, main, rel, "\u27F5", "\\longleftarrow", true); +defineSymbol(math, main, rel, "\u21D0", "\\Leftarrow", true); +defineSymbol(math, main, rel, "\u27F8", "\\Longleftarrow", true); +defineSymbol(math, main, rel, "\u27F6", "\\longrightarrow", true); +defineSymbol(math, main, rel, "\u21D2", "\\Rightarrow", true); +defineSymbol(math, main, rel, "\u27F9", "\\Longrightarrow", true); +defineSymbol(math, main, rel, "\u2194", "\\leftrightarrow", true); +defineSymbol(math, main, rel, "\u27F7", "\\longleftrightarrow", true); +defineSymbol(math, main, rel, "\u21D4", "\\Leftrightarrow", true); +defineSymbol(math, main, rel, "\u27FA", "\\Longleftrightarrow", true); +defineSymbol(math, main, rel, "\u21A6", "\\mapsto", true); +defineSymbol(math, main, rel, "\u27FC", "\\longmapsto", true); +defineSymbol(math, main, rel, "\u2197", "\\nearrow", true); +defineSymbol(math, main, rel, "\u21A9", "\\hookleftarrow", true); +defineSymbol(math, main, rel, "\u21AA", "\\hookrightarrow", true); +defineSymbol(math, main, rel, "\u2198", "\\searrow", true); +defineSymbol(math, main, rel, "\u21BC", "\\leftharpoonup", true); +defineSymbol(math, main, rel, "\u21C0", "\\rightharpoonup", true); +defineSymbol(math, main, rel, "\u2199", "\\swarrow", true); +defineSymbol(math, main, rel, "\u21BD", "\\leftharpoondown", true); +defineSymbol(math, main, rel, "\u21C1", "\\rightharpoondown", true); +defineSymbol(math, main, rel, "\u2196", "\\nwarrow", true); +defineSymbol(math, main, rel, "\u21CC", "\\rightleftharpoons", true); // AMS Negated Binary Relations + +defineSymbol(math, ams, rel, "\u226E", "\\nless", true); // Symbol names preceeded by "@" each have a corresponding macro. + +defineSymbol(math, ams, rel, "\uE010", "\\@nleqslant"); +defineSymbol(math, ams, rel, "\uE011", "\\@nleqq"); +defineSymbol(math, ams, rel, "\u2A87", "\\lneq", true); +defineSymbol(math, ams, rel, "\u2268", "\\lneqq", true); +defineSymbol(math, ams, rel, "\uE00C", "\\@lvertneqq"); +defineSymbol(math, ams, rel, "\u22E6", "\\lnsim", true); +defineSymbol(math, ams, rel, "\u2A89", "\\lnapprox", true); +defineSymbol(math, ams, rel, "\u2280", "\\nprec", true); // unicode-math maps \u22e0 to \npreccurlyeq. We'll use the AMS synonym. + +defineSymbol(math, ams, rel, "\u22E0", "\\npreceq", true); +defineSymbol(math, ams, rel, "\u22E8", "\\precnsim", true); +defineSymbol(math, ams, rel, "\u2AB9", "\\precnapprox", true); +defineSymbol(math, ams, rel, "\u2241", "\\nsim", true); +defineSymbol(math, ams, rel, "\uE006", "\\@nshortmid"); +defineSymbol(math, ams, rel, "\u2224", "\\nmid", true); +defineSymbol(math, ams, rel, "\u22AC", "\\nvdash", true); +defineSymbol(math, ams, rel, "\u22AD", "\\nvDash", true); +defineSymbol(math, ams, rel, "\u22EA", "\\ntriangleleft"); +defineSymbol(math, ams, rel, "\u22EC", "\\ntrianglelefteq", true); +defineSymbol(math, ams, rel, "\u228A", "\\subsetneq", true); +defineSymbol(math, ams, rel, "\uE01A", "\\@varsubsetneq"); +defineSymbol(math, ams, rel, "\u2ACB", "\\subsetneqq", true); +defineSymbol(math, ams, rel, "\uE017", "\\@varsubsetneqq"); +defineSymbol(math, ams, rel, "\u226F", "\\ngtr", true); +defineSymbol(math, ams, rel, "\uE00F", "\\@ngeqslant"); +defineSymbol(math, ams, rel, "\uE00E", "\\@ngeqq"); +defineSymbol(math, ams, rel, "\u2A88", "\\gneq", true); +defineSymbol(math, ams, rel, "\u2269", "\\gneqq", true); +defineSymbol(math, ams, rel, "\uE00D", "\\@gvertneqq"); +defineSymbol(math, ams, rel, "\u22E7", "\\gnsim", true); +defineSymbol(math, ams, rel, "\u2A8A", "\\gnapprox", true); +defineSymbol(math, ams, rel, "\u2281", "\\nsucc", true); // unicode-math maps \u22e1 to \nsucccurlyeq. We'll use the AMS synonym. + +defineSymbol(math, ams, rel, "\u22E1", "\\nsucceq", true); +defineSymbol(math, ams, rel, "\u22E9", "\\succnsim", true); +defineSymbol(math, ams, rel, "\u2ABA", "\\succnapprox", true); // unicode-math maps \u2246 to \simneqq. We'll use the AMS synonym. + +defineSymbol(math, ams, rel, "\u2246", "\\ncong", true); +defineSymbol(math, ams, rel, "\uE007", "\\@nshortparallel"); +defineSymbol(math, ams, rel, "\u2226", "\\nparallel", true); +defineSymbol(math, ams, rel, "\u22AF", "\\nVDash", true); +defineSymbol(math, ams, rel, "\u22EB", "\\ntriangleright"); +defineSymbol(math, ams, rel, "\u22ED", "\\ntrianglerighteq", true); +defineSymbol(math, ams, rel, "\uE018", "\\@nsupseteqq"); +defineSymbol(math, ams, rel, "\u228B", "\\supsetneq", true); +defineSymbol(math, ams, rel, "\uE01B", "\\@varsupsetneq"); +defineSymbol(math, ams, rel, "\u2ACC", "\\supsetneqq", true); +defineSymbol(math, ams, rel, "\uE019", "\\@varsupsetneqq"); +defineSymbol(math, ams, rel, "\u22AE", "\\nVdash", true); +defineSymbol(math, ams, rel, "\u2AB5", "\\precneqq", true); +defineSymbol(math, ams, rel, "\u2AB6", "\\succneqq", true); +defineSymbol(math, ams, rel, "\uE016", "\\@nsubseteqq"); +defineSymbol(math, ams, bin, "\u22B4", "\\unlhd"); +defineSymbol(math, ams, bin, "\u22B5", "\\unrhd"); // AMS Negated Arrows + +defineSymbol(math, ams, rel, "\u219A", "\\nleftarrow", true); +defineSymbol(math, ams, rel, "\u219B", "\\nrightarrow", true); +defineSymbol(math, ams, rel, "\u21CD", "\\nLeftarrow", true); +defineSymbol(math, ams, rel, "\u21CF", "\\nRightarrow", true); +defineSymbol(math, ams, rel, "\u21AE", "\\nleftrightarrow", true); +defineSymbol(math, ams, rel, "\u21CE", "\\nLeftrightarrow", true); // AMS Misc + +defineSymbol(math, ams, rel, "\u25B3", "\\vartriangle"); +defineSymbol(math, ams, textord, "\u210F", "\\hslash"); +defineSymbol(math, ams, textord, "\u25BD", "\\triangledown"); +defineSymbol(math, ams, textord, "\u25CA", "\\lozenge"); +defineSymbol(math, ams, textord, "\u24C8", "\\circledS"); +defineSymbol(math, ams, textord, "\xAE", "\\circledR"); +defineSymbol(symbols_text, ams, textord, "\xAE", "\\circledR"); +defineSymbol(math, ams, textord, "\u2221", "\\measuredangle", true); +defineSymbol(math, ams, textord, "\u2204", "\\nexists"); +defineSymbol(math, ams, textord, "\u2127", "\\mho"); +defineSymbol(math, ams, textord, "\u2132", "\\Finv", true); +defineSymbol(math, ams, textord, "\u2141", "\\Game", true); +defineSymbol(math, ams, textord, "\u2035", "\\backprime"); +defineSymbol(math, ams, textord, "\u25B2", "\\blacktriangle"); +defineSymbol(math, ams, textord, "\u25BC", "\\blacktriangledown"); +defineSymbol(math, ams, textord, "\u25A0", "\\blacksquare"); +defineSymbol(math, ams, textord, "\u29EB", "\\blacklozenge"); +defineSymbol(math, ams, textord, "\u2605", "\\bigstar"); +defineSymbol(math, ams, textord, "\u2222", "\\sphericalangle", true); +defineSymbol(math, ams, textord, "\u2201", "\\complement", true); // unicode-math maps U+F0 to \matheth. We map to AMS function \eth + +defineSymbol(math, ams, textord, "\xF0", "\\eth", true); +defineSymbol(symbols_text, main, textord, "\xF0", "\xF0"); +defineSymbol(math, ams, textord, "\u2571", "\\diagup"); +defineSymbol(math, ams, textord, "\u2572", "\\diagdown"); +defineSymbol(math, ams, textord, "\u25A1", "\\square"); +defineSymbol(math, ams, textord, "\u25A1", "\\Box"); +defineSymbol(math, ams, textord, "\u25CA", "\\Diamond"); // unicode-math maps U+A5 to \mathyen. We map to AMS function \yen + +defineSymbol(math, ams, textord, "\xA5", "\\yen", true); +defineSymbol(symbols_text, ams, textord, "\xA5", "\\yen", true); +defineSymbol(math, ams, textord, "\u2713", "\\checkmark", true); +defineSymbol(symbols_text, ams, textord, "\u2713", "\\checkmark"); // AMS Hebrew + +defineSymbol(math, ams, textord, "\u2136", "\\beth", true); +defineSymbol(math, ams, textord, "\u2138", "\\daleth", true); +defineSymbol(math, ams, textord, "\u2137", "\\gimel", true); // AMS Greek + +defineSymbol(math, ams, textord, "\u03DD", "\\digamma", true); +defineSymbol(math, ams, textord, "\u03F0", "\\varkappa"); // AMS Delimiters + +defineSymbol(math, ams, symbols_open, "\u250C", "\\@ulcorner", true); +defineSymbol(math, ams, symbols_close, "\u2510", "\\@urcorner", true); +defineSymbol(math, ams, symbols_open, "\u2514", "\\@llcorner", true); +defineSymbol(math, ams, symbols_close, "\u2518", "\\@lrcorner", true); // AMS Binary Relations + +defineSymbol(math, ams, rel, "\u2266", "\\leqq", true); +defineSymbol(math, ams, rel, "\u2A7D", "\\leqslant", true); +defineSymbol(math, ams, rel, "\u2A95", "\\eqslantless", true); +defineSymbol(math, ams, rel, "\u2272", "\\lesssim", true); +defineSymbol(math, ams, rel, "\u2A85", "\\lessapprox", true); +defineSymbol(math, ams, rel, "\u224A", "\\approxeq", true); +defineSymbol(math, ams, bin, "\u22D6", "\\lessdot"); +defineSymbol(math, ams, rel, "\u22D8", "\\lll", true); +defineSymbol(math, ams, rel, "\u2276", "\\lessgtr", true); +defineSymbol(math, ams, rel, "\u22DA", "\\lesseqgtr", true); +defineSymbol(math, ams, rel, "\u2A8B", "\\lesseqqgtr", true); +defineSymbol(math, ams, rel, "\u2251", "\\doteqdot"); +defineSymbol(math, ams, rel, "\u2253", "\\risingdotseq", true); +defineSymbol(math, ams, rel, "\u2252", "\\fallingdotseq", true); +defineSymbol(math, ams, rel, "\u223D", "\\backsim", true); +defineSymbol(math, ams, rel, "\u22CD", "\\backsimeq", true); +defineSymbol(math, ams, rel, "\u2AC5", "\\subseteqq", true); +defineSymbol(math, ams, rel, "\u22D0", "\\Subset", true); +defineSymbol(math, ams, rel, "\u228F", "\\sqsubset", true); +defineSymbol(math, ams, rel, "\u227C", "\\preccurlyeq", true); +defineSymbol(math, ams, rel, "\u22DE", "\\curlyeqprec", true); +defineSymbol(math, ams, rel, "\u227E", "\\precsim", true); +defineSymbol(math, ams, rel, "\u2AB7", "\\precapprox", true); +defineSymbol(math, ams, rel, "\u22B2", "\\vartriangleleft"); +defineSymbol(math, ams, rel, "\u22B4", "\\trianglelefteq"); +defineSymbol(math, ams, rel, "\u22A8", "\\vDash", true); +defineSymbol(math, ams, rel, "\u22AA", "\\Vvdash", true); +defineSymbol(math, ams, rel, "\u2323", "\\smallsmile"); +defineSymbol(math, ams, rel, "\u2322", "\\smallfrown"); +defineSymbol(math, ams, rel, "\u224F", "\\bumpeq", true); +defineSymbol(math, ams, rel, "\u224E", "\\Bumpeq", true); +defineSymbol(math, ams, rel, "\u2267", "\\geqq", true); +defineSymbol(math, ams, rel, "\u2A7E", "\\geqslant", true); +defineSymbol(math, ams, rel, "\u2A96", "\\eqslantgtr", true); +defineSymbol(math, ams, rel, "\u2273", "\\gtrsim", true); +defineSymbol(math, ams, rel, "\u2A86", "\\gtrapprox", true); +defineSymbol(math, ams, bin, "\u22D7", "\\gtrdot"); +defineSymbol(math, ams, rel, "\u22D9", "\\ggg", true); +defineSymbol(math, ams, rel, "\u2277", "\\gtrless", true); +defineSymbol(math, ams, rel, "\u22DB", "\\gtreqless", true); +defineSymbol(math, ams, rel, "\u2A8C", "\\gtreqqless", true); +defineSymbol(math, ams, rel, "\u2256", "\\eqcirc", true); +defineSymbol(math, ams, rel, "\u2257", "\\circeq", true); +defineSymbol(math, ams, rel, "\u225C", "\\triangleq", true); +defineSymbol(math, ams, rel, "\u223C", "\\thicksim"); +defineSymbol(math, ams, rel, "\u2248", "\\thickapprox"); +defineSymbol(math, ams, rel, "\u2AC6", "\\supseteqq", true); +defineSymbol(math, ams, rel, "\u22D1", "\\Supset", true); +defineSymbol(math, ams, rel, "\u2290", "\\sqsupset", true); +defineSymbol(math, ams, rel, "\u227D", "\\succcurlyeq", true); +defineSymbol(math, ams, rel, "\u22DF", "\\curlyeqsucc", true); +defineSymbol(math, ams, rel, "\u227F", "\\succsim", true); +defineSymbol(math, ams, rel, "\u2AB8", "\\succapprox", true); +defineSymbol(math, ams, rel, "\u22B3", "\\vartriangleright"); +defineSymbol(math, ams, rel, "\u22B5", "\\trianglerighteq"); +defineSymbol(math, ams, rel, "\u22A9", "\\Vdash", true); +defineSymbol(math, ams, rel, "\u2223", "\\shortmid"); +defineSymbol(math, ams, rel, "\u2225", "\\shortparallel"); +defineSymbol(math, ams, rel, "\u226C", "\\between", true); +defineSymbol(math, ams, rel, "\u22D4", "\\pitchfork", true); +defineSymbol(math, ams, rel, "\u221D", "\\varpropto"); +defineSymbol(math, ams, rel, "\u25C0", "\\blacktriangleleft"); // unicode-math says that \therefore is a mathord atom. +// We kept the amssymb atom type, which is rel. + +defineSymbol(math, ams, rel, "\u2234", "\\therefore", true); +defineSymbol(math, ams, rel, "\u220D", "\\backepsilon"); +defineSymbol(math, ams, rel, "\u25B6", "\\blacktriangleright"); // unicode-math says that \because is a mathord atom. +// We kept the amssymb atom type, which is rel. + +defineSymbol(math, ams, rel, "\u2235", "\\because", true); +defineSymbol(math, ams, rel, "\u22D8", "\\llless"); +defineSymbol(math, ams, rel, "\u22D9", "\\gggtr"); +defineSymbol(math, ams, bin, "\u22B2", "\\lhd"); +defineSymbol(math, ams, bin, "\u22B3", "\\rhd"); +defineSymbol(math, ams, rel, "\u2242", "\\eqsim", true); +defineSymbol(math, main, rel, "\u22C8", "\\Join"); +defineSymbol(math, ams, rel, "\u2251", "\\Doteq", true); // AMS Binary Operators + +defineSymbol(math, ams, bin, "\u2214", "\\dotplus", true); +defineSymbol(math, ams, bin, "\u2216", "\\smallsetminus"); +defineSymbol(math, ams, bin, "\u22D2", "\\Cap", true); +defineSymbol(math, ams, bin, "\u22D3", "\\Cup", true); +defineSymbol(math, ams, bin, "\u2A5E", "\\doublebarwedge", true); +defineSymbol(math, ams, bin, "\u229F", "\\boxminus", true); +defineSymbol(math, ams, bin, "\u229E", "\\boxplus", true); +defineSymbol(math, ams, bin, "\u22C7", "\\divideontimes", true); +defineSymbol(math, ams, bin, "\u22C9", "\\ltimes", true); +defineSymbol(math, ams, bin, "\u22CA", "\\rtimes", true); +defineSymbol(math, ams, bin, "\u22CB", "\\leftthreetimes", true); +defineSymbol(math, ams, bin, "\u22CC", "\\rightthreetimes", true); +defineSymbol(math, ams, bin, "\u22CF", "\\curlywedge", true); +defineSymbol(math, ams, bin, "\u22CE", "\\curlyvee", true); +defineSymbol(math, ams, bin, "\u229D", "\\circleddash", true); +defineSymbol(math, ams, bin, "\u229B", "\\circledast", true); +defineSymbol(math, ams, bin, "\u22C5", "\\centerdot"); +defineSymbol(math, ams, bin, "\u22BA", "\\intercal", true); +defineSymbol(math, ams, bin, "\u22D2", "\\doublecap"); +defineSymbol(math, ams, bin, "\u22D3", "\\doublecup"); +defineSymbol(math, ams, bin, "\u22A0", "\\boxtimes", true); // AMS Arrows +// Note: unicode-math maps \u21e2 to their own function \rightdasharrow. +// We'll map it to AMS function \dashrightarrow. It produces the same atom. + +defineSymbol(math, ams, rel, "\u21E2", "\\dashrightarrow", true); // unicode-math maps \u21e0 to \leftdasharrow. We'll use the AMS synonym. + +defineSymbol(math, ams, rel, "\u21E0", "\\dashleftarrow", true); +defineSymbol(math, ams, rel, "\u21C7", "\\leftleftarrows", true); +defineSymbol(math, ams, rel, "\u21C6", "\\leftrightarrows", true); +defineSymbol(math, ams, rel, "\u21DA", "\\Lleftarrow", true); +defineSymbol(math, ams, rel, "\u219E", "\\twoheadleftarrow", true); +defineSymbol(math, ams, rel, "\u21A2", "\\leftarrowtail", true); +defineSymbol(math, ams, rel, "\u21AB", "\\looparrowleft", true); +defineSymbol(math, ams, rel, "\u21CB", "\\leftrightharpoons", true); +defineSymbol(math, ams, rel, "\u21B6", "\\curvearrowleft", true); // unicode-math maps \u21ba to \acwopencirclearrow. We'll use the AMS synonym. + +defineSymbol(math, ams, rel, "\u21BA", "\\circlearrowleft", true); +defineSymbol(math, ams, rel, "\u21B0", "\\Lsh", true); +defineSymbol(math, ams, rel, "\u21C8", "\\upuparrows", true); +defineSymbol(math, ams, rel, "\u21BF", "\\upharpoonleft", true); +defineSymbol(math, ams, rel, "\u21C3", "\\downharpoonleft", true); +defineSymbol(math, main, rel, "\u22B6", "\\origof", true); // not in font + +defineSymbol(math, main, rel, "\u22B7", "\\imageof", true); // not in font + +defineSymbol(math, ams, rel, "\u22B8", "\\multimap", true); +defineSymbol(math, ams, rel, "\u21AD", "\\leftrightsquigarrow", true); +defineSymbol(math, ams, rel, "\u21C9", "\\rightrightarrows", true); +defineSymbol(math, ams, rel, "\u21C4", "\\rightleftarrows", true); +defineSymbol(math, ams, rel, "\u21A0", "\\twoheadrightarrow", true); +defineSymbol(math, ams, rel, "\u21A3", "\\rightarrowtail", true); +defineSymbol(math, ams, rel, "\u21AC", "\\looparrowright", true); +defineSymbol(math, ams, rel, "\u21B7", "\\curvearrowright", true); // unicode-math maps \u21bb to \cwopencirclearrow. We'll use the AMS synonym. + +defineSymbol(math, ams, rel, "\u21BB", "\\circlearrowright", true); +defineSymbol(math, ams, rel, "\u21B1", "\\Rsh", true); +defineSymbol(math, ams, rel, "\u21CA", "\\downdownarrows", true); +defineSymbol(math, ams, rel, "\u21BE", "\\upharpoonright", true); +defineSymbol(math, ams, rel, "\u21C2", "\\downharpoonright", true); +defineSymbol(math, ams, rel, "\u21DD", "\\rightsquigarrow", true); +defineSymbol(math, ams, rel, "\u21DD", "\\leadsto"); +defineSymbol(math, ams, rel, "\u21DB", "\\Rrightarrow", true); +defineSymbol(math, ams, rel, "\u21BE", "\\restriction"); +defineSymbol(math, main, textord, "\u2018", "`"); +defineSymbol(math, main, textord, "$", "\\$"); +defineSymbol(symbols_text, main, textord, "$", "\\$"); +defineSymbol(symbols_text, main, textord, "$", "\\textdollar"); +defineSymbol(math, main, textord, "%", "\\%"); +defineSymbol(symbols_text, main, textord, "%", "\\%"); +defineSymbol(math, main, textord, "_", "\\_"); +defineSymbol(symbols_text, main, textord, "_", "\\_"); +defineSymbol(symbols_text, main, textord, "_", "\\textunderscore"); +defineSymbol(math, main, textord, "\u2220", "\\angle", true); +defineSymbol(math, main, textord, "\u221E", "\\infty", true); +defineSymbol(math, main, textord, "\u2032", "\\prime"); +defineSymbol(math, main, textord, "\u25B3", "\\triangle"); +defineSymbol(math, main, textord, "\u0393", "\\Gamma", true); +defineSymbol(math, main, textord, "\u0394", "\\Delta", true); +defineSymbol(math, main, textord, "\u0398", "\\Theta", true); +defineSymbol(math, main, textord, "\u039B", "\\Lambda", true); +defineSymbol(math, main, textord, "\u039E", "\\Xi", true); +defineSymbol(math, main, textord, "\u03A0", "\\Pi", true); +defineSymbol(math, main, textord, "\u03A3", "\\Sigma", true); +defineSymbol(math, main, textord, "\u03A5", "\\Upsilon", true); +defineSymbol(math, main, textord, "\u03A6", "\\Phi", true); +defineSymbol(math, main, textord, "\u03A8", "\\Psi", true); +defineSymbol(math, main, textord, "\u03A9", "\\Omega", true); +defineSymbol(math, main, textord, "A", "\u0391"); +defineSymbol(math, main, textord, "B", "\u0392"); +defineSymbol(math, main, textord, "E", "\u0395"); +defineSymbol(math, main, textord, "Z", "\u0396"); +defineSymbol(math, main, textord, "H", "\u0397"); +defineSymbol(math, main, textord, "I", "\u0399"); +defineSymbol(math, main, textord, "K", "\u039A"); +defineSymbol(math, main, textord, "M", "\u039C"); +defineSymbol(math, main, textord, "N", "\u039D"); +defineSymbol(math, main, textord, "O", "\u039F"); +defineSymbol(math, main, textord, "P", "\u03A1"); +defineSymbol(math, main, textord, "T", "\u03A4"); +defineSymbol(math, main, textord, "X", "\u03A7"); +defineSymbol(math, main, textord, "\xAC", "\\neg", true); +defineSymbol(math, main, textord, "\xAC", "\\lnot"); +defineSymbol(math, main, textord, "\u22A4", "\\top"); +defineSymbol(math, main, textord, "\u22A5", "\\bot"); +defineSymbol(math, main, textord, "\u2205", "\\emptyset"); +defineSymbol(math, ams, textord, "\u2205", "\\varnothing"); +defineSymbol(math, main, mathord, "\u03B1", "\\alpha", true); +defineSymbol(math, main, mathord, "\u03B2", "\\beta", true); +defineSymbol(math, main, mathord, "\u03B3", "\\gamma", true); +defineSymbol(math, main, mathord, "\u03B4", "\\delta", true); +defineSymbol(math, main, mathord, "\u03F5", "\\epsilon", true); +defineSymbol(math, main, mathord, "\u03B6", "\\zeta", true); +defineSymbol(math, main, mathord, "\u03B7", "\\eta", true); +defineSymbol(math, main, mathord, "\u03B8", "\\theta", true); +defineSymbol(math, main, mathord, "\u03B9", "\\iota", true); +defineSymbol(math, main, mathord, "\u03BA", "\\kappa", true); +defineSymbol(math, main, mathord, "\u03BB", "\\lambda", true); +defineSymbol(math, main, mathord, "\u03BC", "\\mu", true); +defineSymbol(math, main, mathord, "\u03BD", "\\nu", true); +defineSymbol(math, main, mathord, "\u03BE", "\\xi", true); +defineSymbol(math, main, mathord, "\u03BF", "\\omicron", true); +defineSymbol(math, main, mathord, "\u03C0", "\\pi", true); +defineSymbol(math, main, mathord, "\u03C1", "\\rho", true); +defineSymbol(math, main, mathord, "\u03C3", "\\sigma", true); +defineSymbol(math, main, mathord, "\u03C4", "\\tau", true); +defineSymbol(math, main, mathord, "\u03C5", "\\upsilon", true); +defineSymbol(math, main, mathord, "\u03D5", "\\phi", true); +defineSymbol(math, main, mathord, "\u03C7", "\\chi", true); +defineSymbol(math, main, mathord, "\u03C8", "\\psi", true); +defineSymbol(math, main, mathord, "\u03C9", "\\omega", true); +defineSymbol(math, main, mathord, "\u03B5", "\\varepsilon", true); +defineSymbol(math, main, mathord, "\u03D1", "\\vartheta", true); +defineSymbol(math, main, mathord, "\u03D6", "\\varpi", true); +defineSymbol(math, main, mathord, "\u03F1", "\\varrho", true); +defineSymbol(math, main, mathord, "\u03C2", "\\varsigma", true); +defineSymbol(math, main, mathord, "\u03C6", "\\varphi", true); +defineSymbol(math, main, bin, "\u2217", "*", true); +defineSymbol(math, main, bin, "+", "+"); +defineSymbol(math, main, bin, "\u2212", "-", true); +defineSymbol(math, main, bin, "\u22C5", "\\cdot", true); +defineSymbol(math, main, bin, "\u2218", "\\circ", true); +defineSymbol(math, main, bin, "\xF7", "\\div", true); +defineSymbol(math, main, bin, "\xB1", "\\pm", true); +defineSymbol(math, main, bin, "\xD7", "\\times", true); +defineSymbol(math, main, bin, "\u2229", "\\cap", true); +defineSymbol(math, main, bin, "\u222A", "\\cup", true); +defineSymbol(math, main, bin, "\u2216", "\\setminus", true); +defineSymbol(math, main, bin, "\u2227", "\\land"); +defineSymbol(math, main, bin, "\u2228", "\\lor"); +defineSymbol(math, main, bin, "\u2227", "\\wedge", true); +defineSymbol(math, main, bin, "\u2228", "\\vee", true); +defineSymbol(math, main, textord, "\u221A", "\\surd"); +defineSymbol(math, main, symbols_open, "\u27E8", "\\langle", true); +defineSymbol(math, main, symbols_open, "\u2223", "\\lvert"); +defineSymbol(math, main, symbols_open, "\u2225", "\\lVert"); +defineSymbol(math, main, symbols_close, "?", "?"); +defineSymbol(math, main, symbols_close, "!", "!"); +defineSymbol(math, main, symbols_close, "\u27E9", "\\rangle", true); +defineSymbol(math, main, symbols_close, "\u2223", "\\rvert"); +defineSymbol(math, main, symbols_close, "\u2225", "\\rVert"); +defineSymbol(math, main, rel, "=", "="); +defineSymbol(math, main, rel, ":", ":"); +defineSymbol(math, main, rel, "\u2248", "\\approx", true); +defineSymbol(math, main, rel, "\u2245", "\\cong", true); +defineSymbol(math, main, rel, "\u2265", "\\ge"); +defineSymbol(math, main, rel, "\u2265", "\\geq", true); +defineSymbol(math, main, rel, "\u2190", "\\gets"); +defineSymbol(math, main, rel, ">", "\\gt", true); +defineSymbol(math, main, rel, "\u2208", "\\in", true); +defineSymbol(math, main, rel, "\uE020", "\\@not"); +defineSymbol(math, main, rel, "\u2282", "\\subset", true); +defineSymbol(math, main, rel, "\u2283", "\\supset", true); +defineSymbol(math, main, rel, "\u2286", "\\subseteq", true); +defineSymbol(math, main, rel, "\u2287", "\\supseteq", true); +defineSymbol(math, ams, rel, "\u2288", "\\nsubseteq", true); +defineSymbol(math, ams, rel, "\u2289", "\\nsupseteq", true); +defineSymbol(math, main, rel, "\u22A8", "\\models"); +defineSymbol(math, main, rel, "\u2190", "\\leftarrow", true); +defineSymbol(math, main, rel, "\u2264", "\\le"); +defineSymbol(math, main, rel, "\u2264", "\\leq", true); +defineSymbol(math, main, rel, "<", "\\lt", true); +defineSymbol(math, main, rel, "\u2192", "\\rightarrow", true); +defineSymbol(math, main, rel, "\u2192", "\\to"); +defineSymbol(math, ams, rel, "\u2271", "\\ngeq", true); +defineSymbol(math, ams, rel, "\u2270", "\\nleq", true); +defineSymbol(math, main, spacing, "\xA0", "\\ "); +defineSymbol(math, main, spacing, "\xA0", "\\space"); // Ref: LaTeX Source 2e: \DeclareRobustCommand{\nobreakspace}{% + +defineSymbol(math, main, spacing, "\xA0", "\\nobreakspace"); +defineSymbol(symbols_text, main, spacing, "\xA0", "\\ "); +defineSymbol(symbols_text, main, spacing, "\xA0", " "); +defineSymbol(symbols_text, main, spacing, "\xA0", "\\space"); +defineSymbol(symbols_text, main, spacing, "\xA0", "\\nobreakspace"); +defineSymbol(math, main, spacing, null, "\\nobreak"); +defineSymbol(math, main, spacing, null, "\\allowbreak"); +defineSymbol(math, main, punct, ",", ","); +defineSymbol(math, main, punct, ";", ";"); +defineSymbol(math, ams, bin, "\u22BC", "\\barwedge", true); +defineSymbol(math, ams, bin, "\u22BB", "\\veebar", true); +defineSymbol(math, main, bin, "\u2299", "\\odot", true); +defineSymbol(math, main, bin, "\u2295", "\\oplus", true); +defineSymbol(math, main, bin, "\u2297", "\\otimes", true); +defineSymbol(math, main, textord, "\u2202", "\\partial", true); +defineSymbol(math, main, bin, "\u2298", "\\oslash", true); +defineSymbol(math, ams, bin, "\u229A", "\\circledcirc", true); +defineSymbol(math, ams, bin, "\u22A1", "\\boxdot", true); +defineSymbol(math, main, bin, "\u25B3", "\\bigtriangleup"); +defineSymbol(math, main, bin, "\u25BD", "\\bigtriangledown"); +defineSymbol(math, main, bin, "\u2020", "\\dagger"); +defineSymbol(math, main, bin, "\u22C4", "\\diamond"); +defineSymbol(math, main, bin, "\u22C6", "\\star"); +defineSymbol(math, main, bin, "\u25C3", "\\triangleleft"); +defineSymbol(math, main, bin, "\u25B9", "\\triangleright"); +defineSymbol(math, main, symbols_open, "{", "\\{"); +defineSymbol(symbols_text, main, textord, "{", "\\{"); +defineSymbol(symbols_text, main, textord, "{", "\\textbraceleft"); +defineSymbol(math, main, symbols_close, "}", "\\}"); +defineSymbol(symbols_text, main, textord, "}", "\\}"); +defineSymbol(symbols_text, main, textord, "}", "\\textbraceright"); +defineSymbol(math, main, symbols_open, "{", "\\lbrace"); +defineSymbol(math, main, symbols_close, "}", "\\rbrace"); +defineSymbol(math, main, symbols_open, "[", "\\lbrack", true); +defineSymbol(symbols_text, main, textord, "[", "\\lbrack", true); +defineSymbol(math, main, symbols_close, "]", "\\rbrack", true); +defineSymbol(symbols_text, main, textord, "]", "\\rbrack", true); +defineSymbol(math, main, symbols_open, "(", "\\lparen", true); +defineSymbol(math, main, symbols_close, ")", "\\rparen", true); +defineSymbol(symbols_text, main, textord, "<", "\\textless", true); // in T1 fontenc + +defineSymbol(symbols_text, main, textord, ">", "\\textgreater", true); // in T1 fontenc + +defineSymbol(math, main, symbols_open, "\u230A", "\\lfloor", true); +defineSymbol(math, main, symbols_close, "\u230B", "\\rfloor", true); +defineSymbol(math, main, symbols_open, "\u2308", "\\lceil", true); +defineSymbol(math, main, symbols_close, "\u2309", "\\rceil", true); +defineSymbol(math, main, textord, "\\", "\\backslash"); +defineSymbol(math, main, textord, "\u2223", "|"); +defineSymbol(math, main, textord, "\u2223", "\\vert"); +defineSymbol(symbols_text, main, textord, "|", "\\textbar", true); // in T1 fontenc + +defineSymbol(math, main, textord, "\u2225", "\\|"); +defineSymbol(math, main, textord, "\u2225", "\\Vert"); +defineSymbol(symbols_text, main, textord, "\u2225", "\\textbardbl"); +defineSymbol(symbols_text, main, textord, "~", "\\textasciitilde"); +defineSymbol(symbols_text, main, textord, "\\", "\\textbackslash"); +defineSymbol(symbols_text, main, textord, "^", "\\textasciicircum"); +defineSymbol(math, main, rel, "\u2191", "\\uparrow", true); +defineSymbol(math, main, rel, "\u21D1", "\\Uparrow", true); +defineSymbol(math, main, rel, "\u2193", "\\downarrow", true); +defineSymbol(math, main, rel, "\u21D3", "\\Downarrow", true); +defineSymbol(math, main, rel, "\u2195", "\\updownarrow", true); +defineSymbol(math, main, rel, "\u21D5", "\\Updownarrow", true); +defineSymbol(math, main, op, "\u2210", "\\coprod"); +defineSymbol(math, main, op, "\u22C1", "\\bigvee"); +defineSymbol(math, main, op, "\u22C0", "\\bigwedge"); +defineSymbol(math, main, op, "\u2A04", "\\biguplus"); +defineSymbol(math, main, op, "\u22C2", "\\bigcap"); +defineSymbol(math, main, op, "\u22C3", "\\bigcup"); +defineSymbol(math, main, op, "\u222B", "\\int"); +defineSymbol(math, main, op, "\u222B", "\\intop"); +defineSymbol(math, main, op, "\u222C", "\\iint"); +defineSymbol(math, main, op, "\u222D", "\\iiint"); +defineSymbol(math, main, op, "\u220F", "\\prod"); +defineSymbol(math, main, op, "\u2211", "\\sum"); +defineSymbol(math, main, op, "\u2A02", "\\bigotimes"); +defineSymbol(math, main, op, "\u2A01", "\\bigoplus"); +defineSymbol(math, main, op, "\u2A00", "\\bigodot"); +defineSymbol(math, main, op, "\u222E", "\\oint"); +defineSymbol(math, main, op, "\u222F", "\\oiint"); +defineSymbol(math, main, op, "\u2230", "\\oiiint"); +defineSymbol(math, main, op, "\u2A06", "\\bigsqcup"); +defineSymbol(math, main, op, "\u222B", "\\smallint"); +defineSymbol(symbols_text, main, inner, "\u2026", "\\textellipsis"); +defineSymbol(math, main, inner, "\u2026", "\\mathellipsis"); +defineSymbol(symbols_text, main, inner, "\u2026", "\\ldots", true); +defineSymbol(math, main, inner, "\u2026", "\\ldots", true); +defineSymbol(math, main, inner, "\u22EF", "\\@cdots", true); +defineSymbol(math, main, inner, "\u22F1", "\\ddots", true); +defineSymbol(math, main, textord, "\u22EE", "\\varvdots"); // \vdots is a macro + +defineSymbol(math, main, accent, "\u02CA", "\\acute"); +defineSymbol(math, main, accent, "\u02CB", "\\grave"); +defineSymbol(math, main, accent, "\xA8", "\\ddot"); +defineSymbol(math, main, accent, "~", "\\tilde"); +defineSymbol(math, main, accent, "\u02C9", "\\bar"); +defineSymbol(math, main, accent, "\u02D8", "\\breve"); +defineSymbol(math, main, accent, "\u02C7", "\\check"); +defineSymbol(math, main, accent, "^", "\\hat"); +defineSymbol(math, main, accent, "\u20D7", "\\vec"); +defineSymbol(math, main, accent, "\u02D9", "\\dot"); +defineSymbol(math, main, accent, "\u02DA", "\\mathring"); // \imath and \jmath should be invariant to \mathrm, \mathbf, etc., so use PUA + +defineSymbol(math, main, mathord, "\uE131", "\\@imath"); +defineSymbol(math, main, mathord, "\uE237", "\\@jmath"); +defineSymbol(math, main, textord, "\u0131", "\u0131"); +defineSymbol(math, main, textord, "\u0237", "\u0237"); +defineSymbol(symbols_text, main, textord, "\u0131", "\\i", true); +defineSymbol(symbols_text, main, textord, "\u0237", "\\j", true); +defineSymbol(symbols_text, main, textord, "\xDF", "\\ss", true); +defineSymbol(symbols_text, main, textord, "\xE6", "\\ae", true); +defineSymbol(symbols_text, main, textord, "\u0153", "\\oe", true); +defineSymbol(symbols_text, main, textord, "\xF8", "\\o", true); +defineSymbol(symbols_text, main, textord, "\xC6", "\\AE", true); +defineSymbol(symbols_text, main, textord, "\u0152", "\\OE", true); +defineSymbol(symbols_text, main, textord, "\xD8", "\\O", true); +defineSymbol(symbols_text, main, accent, "\u02CA", "\\'"); // acute + +defineSymbol(symbols_text, main, accent, "\u02CB", "\\`"); // grave + +defineSymbol(symbols_text, main, accent, "\u02C6", "\\^"); // circumflex + +defineSymbol(symbols_text, main, accent, "\u02DC", "\\~"); // tilde + +defineSymbol(symbols_text, main, accent, "\u02C9", "\\="); // macron + +defineSymbol(symbols_text, main, accent, "\u02D8", "\\u"); // breve + +defineSymbol(symbols_text, main, accent, "\u02D9", "\\."); // dot above + +defineSymbol(symbols_text, main, accent, "\xB8", "\\c"); // cedilla + +defineSymbol(symbols_text, main, accent, "\u02DA", "\\r"); // ring above + +defineSymbol(symbols_text, main, accent, "\u02C7", "\\v"); // caron + +defineSymbol(symbols_text, main, accent, "\xA8", '\\"'); // diaresis + +defineSymbol(symbols_text, main, accent, "\u02DD", "\\H"); // double acute + +defineSymbol(symbols_text, main, accent, "\u25EF", "\\textcircled"); // \bigcirc glyph +// These ligatures are detected and created in Parser.js's `formLigatures`. + +var ligatures = { + "--": true, + "---": true, + "``": true, + "''": true +}; +defineSymbol(symbols_text, main, textord, "\u2013", "--", true); +defineSymbol(symbols_text, main, textord, "\u2013", "\\textendash"); +defineSymbol(symbols_text, main, textord, "\u2014", "---", true); +defineSymbol(symbols_text, main, textord, "\u2014", "\\textemdash"); +defineSymbol(symbols_text, main, textord, "\u2018", "`", true); +defineSymbol(symbols_text, main, textord, "\u2018", "\\textquoteleft"); +defineSymbol(symbols_text, main, textord, "\u2019", "'", true); +defineSymbol(symbols_text, main, textord, "\u2019", "\\textquoteright"); +defineSymbol(symbols_text, main, textord, "\u201C", "``", true); +defineSymbol(symbols_text, main, textord, "\u201C", "\\textquotedblleft"); +defineSymbol(symbols_text, main, textord, "\u201D", "''", true); +defineSymbol(symbols_text, main, textord, "\u201D", "\\textquotedblright"); // \degree from gensymb package + +defineSymbol(math, main, textord, "\xB0", "\\degree", true); +defineSymbol(symbols_text, main, textord, "\xB0", "\\degree"); // \textdegree from inputenc package + +defineSymbol(symbols_text, main, textord, "\xB0", "\\textdegree", true); // TODO: In LaTeX, \pounds can generate a different character in text and math +// mode, but among our fonts, only Main-Regular defines this character "163". + +defineSymbol(math, main, textord, "\xA3", "\\pounds"); +defineSymbol(math, main, textord, "\xA3", "\\mathsterling", true); +defineSymbol(symbols_text, main, textord, "\xA3", "\\pounds"); +defineSymbol(symbols_text, main, textord, "\xA3", "\\textsterling", true); +defineSymbol(math, ams, textord, "\u2720", "\\maltese"); +defineSymbol(symbols_text, ams, textord, "\u2720", "\\maltese"); // There are lots of symbols which are the same, so we add them in afterwards. +// All of these are textords in math mode + +var mathTextSymbols = "0123456789/@.\""; + +for (var i = 0; i < mathTextSymbols.length; i++) { + var ch = mathTextSymbols.charAt(i); + defineSymbol(math, main, textord, ch, ch); +} // All of these are textords in text mode + + +var textSymbols = "0123456789!@*()-=+\";:?/.,"; + +for (var _i = 0; _i < textSymbols.length; _i++) { + var _ch = textSymbols.charAt(_i); + + defineSymbol(symbols_text, main, textord, _ch, _ch); +} // All of these are textords in text mode, and mathords in math mode + + +var letters = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz"; + +for (var _i2 = 0; _i2 < letters.length; _i2++) { + var _ch2 = letters.charAt(_i2); + + defineSymbol(math, main, mathord, _ch2, _ch2); + defineSymbol(symbols_text, main, textord, _ch2, _ch2); +} // Blackboard bold and script letters in Unicode range + + +defineSymbol(math, ams, textord, "C", "\u2102"); // blackboard bold + +defineSymbol(symbols_text, ams, textord, "C", "\u2102"); +defineSymbol(math, ams, textord, "H", "\u210D"); +defineSymbol(symbols_text, ams, textord, "H", "\u210D"); +defineSymbol(math, ams, textord, "N", "\u2115"); +defineSymbol(symbols_text, ams, textord, "N", "\u2115"); +defineSymbol(math, ams, textord, "P", "\u2119"); +defineSymbol(symbols_text, ams, textord, "P", "\u2119"); +defineSymbol(math, ams, textord, "Q", "\u211A"); +defineSymbol(symbols_text, ams, textord, "Q", "\u211A"); +defineSymbol(math, ams, textord, "R", "\u211D"); +defineSymbol(symbols_text, ams, textord, "R", "\u211D"); +defineSymbol(math, ams, textord, "Z", "\u2124"); +defineSymbol(symbols_text, ams, textord, "Z", "\u2124"); +defineSymbol(math, main, mathord, "h", "\u210E"); // italic h, Planck constant + +defineSymbol(symbols_text, main, mathord, "h", "\u210E"); // The next loop loads wide (surrogate pair) characters. +// We support some letters in the Unicode range U+1D400 to U+1D7FF, +// Mathematical Alphanumeric Symbols. +// Some editors do not deal well with wide characters. So don't write the +// string into this file. Instead, create the string from the surrogate pair. + +var wideChar = ""; + +for (var _i3 = 0; _i3 < letters.length; _i3++) { + var _ch3 = letters.charAt(_i3); // The hex numbers in the next line are a surrogate pair. + // 0xD835 is the high surrogate for all letters in the range we support. + // 0xDC00 is the low surrogate for bold A. + + + wideChar = String.fromCharCode(0xD835, 0xDC00 + _i3); // A-Z a-z bold + + defineSymbol(math, main, mathord, _ch3, wideChar); + defineSymbol(symbols_text, main, textord, _ch3, wideChar); + wideChar = String.fromCharCode(0xD835, 0xDC34 + _i3); // A-Z a-z italic + + defineSymbol(math, main, mathord, _ch3, wideChar); + defineSymbol(symbols_text, main, textord, _ch3, wideChar); + wideChar = String.fromCharCode(0xD835, 0xDC68 + _i3); // A-Z a-z bold italic + + defineSymbol(math, main, mathord, _ch3, wideChar); + defineSymbol(symbols_text, main, textord, _ch3, wideChar); + wideChar = String.fromCharCode(0xD835, 0xDD04 + _i3); // A-Z a-z Fractur + + defineSymbol(math, main, mathord, _ch3, wideChar); + defineSymbol(symbols_text, main, textord, _ch3, wideChar); + wideChar = String.fromCharCode(0xD835, 0xDDA0 + _i3); // A-Z a-z sans-serif + + defineSymbol(math, main, mathord, _ch3, wideChar); + defineSymbol(symbols_text, main, textord, _ch3, wideChar); + wideChar = String.fromCharCode(0xD835, 0xDDD4 + _i3); // A-Z a-z sans bold + + defineSymbol(math, main, mathord, _ch3, wideChar); + defineSymbol(symbols_text, main, textord, _ch3, wideChar); + wideChar = String.fromCharCode(0xD835, 0xDE08 + _i3); // A-Z a-z sans italic + + defineSymbol(math, main, mathord, _ch3, wideChar); + defineSymbol(symbols_text, main, textord, _ch3, wideChar); + wideChar = String.fromCharCode(0xD835, 0xDE70 + _i3); // A-Z a-z monospace + + defineSymbol(math, main, mathord, _ch3, wideChar); + defineSymbol(symbols_text, main, textord, _ch3, wideChar); + + if (_i3 < 26) { + // KaTeX fonts have only capital letters for blackboard bold and script. + // See exception for k below. + wideChar = String.fromCharCode(0xD835, 0xDD38 + _i3); // A-Z double struck + + defineSymbol(math, main, mathord, _ch3, wideChar); + defineSymbol(symbols_text, main, textord, _ch3, wideChar); + wideChar = String.fromCharCode(0xD835, 0xDC9C + _i3); // A-Z script + + defineSymbol(math, main, mathord, _ch3, wideChar); + defineSymbol(symbols_text, main, textord, _ch3, wideChar); + } // TODO: Add bold script when it is supported by a KaTeX font. + +} // "k" is the only double struck lower case letter in the KaTeX fonts. + + +wideChar = String.fromCharCode(0xD835, 0xDD5C); // k double struck + +defineSymbol(math, main, mathord, "k", wideChar); +defineSymbol(symbols_text, main, textord, "k", wideChar); // Next, some wide character numerals + +for (var _i4 = 0; _i4 < 10; _i4++) { + var _ch4 = _i4.toString(); + + wideChar = String.fromCharCode(0xD835, 0xDFCE + _i4); // 0-9 bold + + defineSymbol(math, main, mathord, _ch4, wideChar); + defineSymbol(symbols_text, main, textord, _ch4, wideChar); + wideChar = String.fromCharCode(0xD835, 0xDFE2 + _i4); // 0-9 sans serif + + defineSymbol(math, main, mathord, _ch4, wideChar); + defineSymbol(symbols_text, main, textord, _ch4, wideChar); + wideChar = String.fromCharCode(0xD835, 0xDFEC + _i4); // 0-9 bold sans + + defineSymbol(math, main, mathord, _ch4, wideChar); + defineSymbol(symbols_text, main, textord, _ch4, wideChar); + wideChar = String.fromCharCode(0xD835, 0xDFF6 + _i4); // 0-9 monospace + + defineSymbol(math, main, mathord, _ch4, wideChar); + defineSymbol(symbols_text, main, textord, _ch4, wideChar); +} // We add these Latin-1 letters as symbols for backwards-compatibility, +// but they are not actually in the font, nor are they supported by the +// Unicode accent mechanism, so they fall back to Times font and look ugly. +// TODO(edemaine): Fix this. + + +var extraLatin = "\xD0\xDE\xFE"; + +for (var _i5 = 0; _i5 < extraLatin.length; _i5++) { + var _ch5 = extraLatin.charAt(_i5); + + defineSymbol(math, main, mathord, _ch5, _ch5); + defineSymbol(symbols_text, main, textord, _ch5, _ch5); +} +;// CONCATENATED MODULE: ./src/wide-character.js +/** + * This file provides support for Unicode range U+1D400 to U+1D7FF, + * Mathematical Alphanumeric Symbols. + * + * Function wideCharacterFont takes a wide character as input and returns + * the font information necessary to render it properly. + */ + +/** + * Data below is from https://www.unicode.org/charts/PDF/U1D400.pdf + * That document sorts characters into groups by font type, say bold or italic. + * + * In the arrays below, each subarray consists three elements: + * * The CSS class of that group when in math mode. + * * The CSS class of that group when in text mode. + * * The font name, so that KaTeX can get font metrics. + */ + +var wideLatinLetterData = [["mathbf", "textbf", "Main-Bold"], // A-Z bold upright +["mathbf", "textbf", "Main-Bold"], // a-z bold upright +["mathnormal", "textit", "Math-Italic"], // A-Z italic +["mathnormal", "textit", "Math-Italic"], // a-z italic +["boldsymbol", "boldsymbol", "Main-BoldItalic"], // A-Z bold italic +["boldsymbol", "boldsymbol", "Main-BoldItalic"], // a-z bold italic +// Map fancy A-Z letters to script, not calligraphic. +// This aligns with unicode-math and math fonts (except Cambria Math). +["mathscr", "textscr", "Script-Regular"], // A-Z script +["", "", ""], // a-z script. No font +["", "", ""], // A-Z bold script. No font +["", "", ""], // a-z bold script. No font +["mathfrak", "textfrak", "Fraktur-Regular"], // A-Z Fraktur +["mathfrak", "textfrak", "Fraktur-Regular"], // a-z Fraktur +["mathbb", "textbb", "AMS-Regular"], // A-Z double-struck +["mathbb", "textbb", "AMS-Regular"], // k double-struck +["", "", ""], // A-Z bold Fraktur No font metrics +["", "", ""], // a-z bold Fraktur. No font. +["mathsf", "textsf", "SansSerif-Regular"], // A-Z sans-serif +["mathsf", "textsf", "SansSerif-Regular"], // a-z sans-serif +["mathboldsf", "textboldsf", "SansSerif-Bold"], // A-Z bold sans-serif +["mathboldsf", "textboldsf", "SansSerif-Bold"], // a-z bold sans-serif +["mathitsf", "textitsf", "SansSerif-Italic"], // A-Z italic sans-serif +["mathitsf", "textitsf", "SansSerif-Italic"], // a-z italic sans-serif +["", "", ""], // A-Z bold italic sans. No font +["", "", ""], // a-z bold italic sans. No font +["mathtt", "texttt", "Typewriter-Regular"], // A-Z monospace +["mathtt", "texttt", "Typewriter-Regular"] // a-z monospace +]; +var wideNumeralData = [["mathbf", "textbf", "Main-Bold"], // 0-9 bold +["", "", ""], // 0-9 double-struck. No KaTeX font. +["mathsf", "textsf", "SansSerif-Regular"], // 0-9 sans-serif +["mathboldsf", "textboldsf", "SansSerif-Bold"], // 0-9 bold sans-serif +["mathtt", "texttt", "Typewriter-Regular"] // 0-9 monospace +]; +var wideCharacterFont = function wideCharacterFont(wideChar, mode) { + // IE doesn't support codePointAt(). So work with the surrogate pair. + var H = wideChar.charCodeAt(0); // high surrogate + + var L = wideChar.charCodeAt(1); // low surrogate + + var codePoint = (H - 0xD800) * 0x400 + (L - 0xDC00) + 0x10000; + var j = mode === "math" ? 0 : 1; // column index for CSS class. + + if (0x1D400 <= codePoint && codePoint < 0x1D6A4) { + // wideLatinLetterData contains exactly 26 chars on each row. + // So we can calculate the relevant row. No traverse necessary. + var i = Math.floor((codePoint - 0x1D400) / 26); + return [wideLatinLetterData[i][2], wideLatinLetterData[i][j]]; + } else if (0x1D7CE <= codePoint && codePoint <= 0x1D7FF) { + // Numerals, ten per row. + var _i = Math.floor((codePoint - 0x1D7CE) / 10); + + return [wideNumeralData[_i][2], wideNumeralData[_i][j]]; + } else if (codePoint === 0x1D6A5 || codePoint === 0x1D6A6) { + // dotless i or j + return [wideLatinLetterData[0][2], wideLatinLetterData[0][j]]; + } else if (0x1D6A6 < codePoint && codePoint < 0x1D7CE) { + // Greek letters. Not supported, yet. + return ["", ""]; + } else { + // We don't support any wide characters outside 1D400–1D7FF. + throw new src_ParseError("Unsupported character: " + wideChar); + } +}; +;// CONCATENATED MODULE: ./src/buildCommon.js +/* eslint no-console:0 */ + +/** + * This module contains general functions that can be used for building + * different kinds of domTree nodes in a consistent manner. + */ + + + + + + + +/** + * Looks up the given symbol in fontMetrics, after applying any symbol + * replacements defined in symbol.js + */ +var lookupSymbol = function lookupSymbol(value, // TODO(#963): Use a union type for this. +fontName, mode) { + // Replace the value with its replaced value from symbol.js + if (src_symbols[mode][value] && src_symbols[mode][value].replace) { + value = src_symbols[mode][value].replace; + } + + return { + value: value, + metrics: getCharacterMetrics(value, fontName, mode) + }; +}; +/** + * Makes a symbolNode after translation via the list of symbols in symbols.js. + * Correctly pulls out metrics for the character, and optionally takes a list of + * classes to be attached to the node. + * + * TODO: make argument order closer to makeSpan + * TODO: add a separate argument for math class (e.g. `mop`, `mbin`), which + * should if present come first in `classes`. + * TODO(#953): Make `options` mandatory and always pass it in. + */ + + +var makeSymbol = function makeSymbol(value, fontName, mode, options, classes) { + var lookup = lookupSymbol(value, fontName, mode); + var metrics = lookup.metrics; + value = lookup.value; + var symbolNode; + + if (metrics) { + var italic = metrics.italic; + + if (mode === "text" || options && options.font === "mathit") { + italic = 0; + } + + symbolNode = new SymbolNode(value, metrics.height, metrics.depth, italic, metrics.skew, metrics.width, classes); + } else { + // TODO(emily): Figure out a good way to only print this in development + typeof console !== "undefined" && console.warn("No character metrics " + ("for '" + value + "' in style '" + fontName + "' and mode '" + mode + "'")); + symbolNode = new SymbolNode(value, 0, 0, 0, 0, 0, classes); + } + + if (options) { + symbolNode.maxFontSize = options.sizeMultiplier; + + if (options.style.isTight()) { + symbolNode.classes.push("mtight"); + } + + var color = options.getColor(); + + if (color) { + symbolNode.style.color = color; + } + } + + return symbolNode; +}; +/** + * Makes a symbol in Main-Regular or AMS-Regular. + * Used for rel, bin, open, close, inner, and punct. + */ + + +var mathsym = function mathsym(value, mode, options, classes) { + if (classes === void 0) { + classes = []; + } + + // Decide what font to render the symbol in by its entry in the symbols + // table. + // Have a special case for when the value = \ because the \ is used as a + // textord in unsupported command errors but cannot be parsed as a regular + // text ordinal and is therefore not present as a symbol in the symbols + // table for text, as well as a special case for boldsymbol because it + // can be used for bold + and - + if (options.font === "boldsymbol" && lookupSymbol(value, "Main-Bold", mode).metrics) { + return makeSymbol(value, "Main-Bold", mode, options, classes.concat(["mathbf"])); + } else if (value === "\\" || src_symbols[mode][value].font === "main") { + return makeSymbol(value, "Main-Regular", mode, options, classes); + } else { + return makeSymbol(value, "AMS-Regular", mode, options, classes.concat(["amsrm"])); + } +}; +/** + * Determines which of the two font names (Main-Bold and Math-BoldItalic) and + * corresponding style tags (mathbf or boldsymbol) to use for font "boldsymbol", + * depending on the symbol. Use this function instead of fontMap for font + * "boldsymbol". + */ + + +var boldsymbol = function boldsymbol(value, mode, options, classes, type) { + if (type !== "textord" && lookupSymbol(value, "Math-BoldItalic", mode).metrics) { + return { + fontName: "Math-BoldItalic", + fontClass: "boldsymbol" + }; + } else { + // Some glyphs do not exist in Math-BoldItalic so we need to use + // Main-Bold instead. + return { + fontName: "Main-Bold", + fontClass: "mathbf" + }; + } +}; +/** + * Makes either a mathord or textord in the correct font and color. + */ + + +var makeOrd = function makeOrd(group, options, type) { + var mode = group.mode; + var text = group.text; + var classes = ["mord"]; // Math mode or Old font (i.e. \rm) + + var isFont = mode === "math" || mode === "text" && options.font; + var fontOrFamily = isFont ? options.font : options.fontFamily; + + if (text.charCodeAt(0) === 0xD835) { + // surrogate pairs get special treatment + var _wideCharacterFont = wideCharacterFont(text, mode), + wideFontName = _wideCharacterFont[0], + wideFontClass = _wideCharacterFont[1]; + + return makeSymbol(text, wideFontName, mode, options, classes.concat(wideFontClass)); + } else if (fontOrFamily) { + var fontName; + var fontClasses; + + if (fontOrFamily === "boldsymbol") { + var fontData = boldsymbol(text, mode, options, classes, type); + fontName = fontData.fontName; + fontClasses = [fontData.fontClass]; + } else if (isFont) { + fontName = fontMap[fontOrFamily].fontName; + fontClasses = [fontOrFamily]; + } else { + fontName = retrieveTextFontName(fontOrFamily, options.fontWeight, options.fontShape); + fontClasses = [fontOrFamily, options.fontWeight, options.fontShape]; + } + + if (lookupSymbol(text, fontName, mode).metrics) { + return makeSymbol(text, fontName, mode, options, classes.concat(fontClasses)); + } else if (ligatures.hasOwnProperty(text) && fontName.slice(0, 10) === "Typewriter") { + // Deconstruct ligatures in monospace fonts (\texttt, \tt). + var parts = []; + + for (var i = 0; i < text.length; i++) { + parts.push(makeSymbol(text[i], fontName, mode, options, classes.concat(fontClasses))); + } + + return makeFragment(parts); + } + } // Makes a symbol in the default font for mathords and textords. + + + if (type === "mathord") { + return makeSymbol(text, "Math-Italic", mode, options, classes.concat(["mathnormal"])); + } else if (type === "textord") { + var font = src_symbols[mode][text] && src_symbols[mode][text].font; + + if (font === "ams") { + var _fontName = retrieveTextFontName("amsrm", options.fontWeight, options.fontShape); + + return makeSymbol(text, _fontName, mode, options, classes.concat("amsrm", options.fontWeight, options.fontShape)); + } else if (font === "main" || !font) { + var _fontName2 = retrieveTextFontName("textrm", options.fontWeight, options.fontShape); + + return makeSymbol(text, _fontName2, mode, options, classes.concat(options.fontWeight, options.fontShape)); + } else { + // fonts added by plugins + var _fontName3 = retrieveTextFontName(font, options.fontWeight, options.fontShape); // We add font name as a css class + + + return makeSymbol(text, _fontName3, mode, options, classes.concat(_fontName3, options.fontWeight, options.fontShape)); + } + } else { + throw new Error("unexpected type: " + type + " in makeOrd"); + } +}; +/** + * Returns true if subsequent symbolNodes have the same classes, skew, maxFont, + * and styles. + */ + + +var canCombine = function canCombine(prev, next) { + if (createClass(prev.classes) !== createClass(next.classes) || prev.skew !== next.skew || prev.maxFontSize !== next.maxFontSize) { + return false; + } // If prev and next both are just "mbin"s or "mord"s we don't combine them + // so that the proper spacing can be preserved. + + + if (prev.classes.length === 1) { + var cls = prev.classes[0]; + + if (cls === "mbin" || cls === "mord") { + return false; + } + } + + for (var style in prev.style) { + if (prev.style.hasOwnProperty(style) && prev.style[style] !== next.style[style]) { + return false; + } + } + + for (var _style in next.style) { + if (next.style.hasOwnProperty(_style) && prev.style[_style] !== next.style[_style]) { + return false; + } + } + + return true; +}; +/** + * Combine consecutive domTree.symbolNodes into a single symbolNode. + * Note: this function mutates the argument. + */ + + +var tryCombineChars = function tryCombineChars(chars) { + for (var i = 0; i < chars.length - 1; i++) { + var prev = chars[i]; + var next = chars[i + 1]; + + if (prev instanceof SymbolNode && next instanceof SymbolNode && canCombine(prev, next)) { + prev.text += next.text; + prev.height = Math.max(prev.height, next.height); + prev.depth = Math.max(prev.depth, next.depth); // Use the last character's italic correction since we use + // it to add padding to the right of the span created from + // the combined characters. + + prev.italic = next.italic; + chars.splice(i + 1, 1); + i--; + } + } + + return chars; +}; +/** + * Calculate the height, depth, and maxFontSize of an element based on its + * children. + */ + + +var sizeElementFromChildren = function sizeElementFromChildren(elem) { + var height = 0; + var depth = 0; + var maxFontSize = 0; + + for (var i = 0; i < elem.children.length; i++) { + var child = elem.children[i]; + + if (child.height > height) { + height = child.height; + } + + if (child.depth > depth) { + depth = child.depth; + } + + if (child.maxFontSize > maxFontSize) { + maxFontSize = child.maxFontSize; + } + } + + elem.height = height; + elem.depth = depth; + elem.maxFontSize = maxFontSize; +}; +/** + * Makes a span with the given list of classes, list of children, and options. + * + * TODO(#953): Ensure that `options` is always provided (currently some call + * sites don't pass it) and make the type below mandatory. + * TODO: add a separate argument for math class (e.g. `mop`, `mbin`), which + * should if present come first in `classes`. + */ + + +var makeSpan = function makeSpan(classes, children, options, style) { + var span = new Span(classes, children, options, style); + sizeElementFromChildren(span); + return span; +}; // SVG one is simpler -- doesn't require height, depth, max-font setting. +// This is also a separate method for typesafety. + + +var makeSvgSpan = function makeSvgSpan(classes, children, options, style) { + return new Span(classes, children, options, style); +}; + +var makeLineSpan = function makeLineSpan(className, options, thickness) { + var line = makeSpan([className], [], options); + line.height = Math.max(thickness || options.fontMetrics().defaultRuleThickness, options.minRuleThickness); + line.style.borderBottomWidth = makeEm(line.height); + line.maxFontSize = 1.0; + return line; +}; +/** + * Makes an anchor with the given href, list of classes, list of children, + * and options. + */ + + +var makeAnchor = function makeAnchor(href, classes, children, options) { + var anchor = new Anchor(href, classes, children, options); + sizeElementFromChildren(anchor); + return anchor; +}; +/** + * Makes a document fragment with the given list of children. + */ + + +var makeFragment = function makeFragment(children) { + var fragment = new DocumentFragment(children); + sizeElementFromChildren(fragment); + return fragment; +}; +/** + * Wraps group in a span if it's a document fragment, allowing to apply classes + * and styles + */ + + +var wrapFragment = function wrapFragment(group, options) { + if (group instanceof DocumentFragment) { + return makeSpan([], [group], options); + } + + return group; +}; // These are exact object types to catch typos in the names of the optional fields. + + +// Computes the updated `children` list and the overall depth. +// +// This helper function for makeVList makes it easier to enforce type safety by +// allowing early exits (returns) in the logic. +var getVListChildrenAndDepth = function getVListChildrenAndDepth(params) { + if (params.positionType === "individualShift") { + var oldChildren = params.children; + var children = [oldChildren[0]]; // Add in kerns to the list of params.children to get each element to be + // shifted to the correct specified shift + + var _depth = -oldChildren[0].shift - oldChildren[0].elem.depth; + + var currPos = _depth; + + for (var i = 1; i < oldChildren.length; i++) { + var diff = -oldChildren[i].shift - currPos - oldChildren[i].elem.depth; + var size = diff - (oldChildren[i - 1].elem.height + oldChildren[i - 1].elem.depth); + currPos = currPos + diff; + children.push({ + type: "kern", + size: size + }); + children.push(oldChildren[i]); + } + + return { + children: children, + depth: _depth + }; + } + + var depth; + + if (params.positionType === "top") { + // We always start at the bottom, so calculate the bottom by adding up + // all the sizes + var bottom = params.positionData; + + for (var _i = 0; _i < params.children.length; _i++) { + var child = params.children[_i]; + bottom -= child.type === "kern" ? child.size : child.elem.height + child.elem.depth; + } + + depth = bottom; + } else if (params.positionType === "bottom") { + depth = -params.positionData; + } else { + var firstChild = params.children[0]; + + if (firstChild.type !== "elem") { + throw new Error('First child must have type "elem".'); + } + + if (params.positionType === "shift") { + depth = -firstChild.elem.depth - params.positionData; + } else if (params.positionType === "firstBaseline") { + depth = -firstChild.elem.depth; + } else { + throw new Error("Invalid positionType " + params.positionType + "."); + } + } + + return { + children: params.children, + depth: depth + }; +}; +/** + * Makes a vertical list by stacking elements and kerns on top of each other. + * Allows for many different ways of specifying the positioning method. + * + * See VListParam documentation above. + */ + + +var makeVList = function makeVList(params, options) { + var _getVListChildrenAndD = getVListChildrenAndDepth(params), + children = _getVListChildrenAndD.children, + depth = _getVListChildrenAndD.depth; // Create a strut that is taller than any list item. The strut is added to + // each item, where it will determine the item's baseline. Since it has + // `overflow:hidden`, the strut's top edge will sit on the item's line box's + // top edge and the strut's bottom edge will sit on the item's baseline, + // with no additional line-height spacing. This allows the item baseline to + // be positioned precisely without worrying about font ascent and + // line-height. + + + var pstrutSize = 0; + + for (var i = 0; i < children.length; i++) { + var child = children[i]; + + if (child.type === "elem") { + var elem = child.elem; + pstrutSize = Math.max(pstrutSize, elem.maxFontSize, elem.height); + } + } + + pstrutSize += 2; + var pstrut = makeSpan(["pstrut"], []); + pstrut.style.height = makeEm(pstrutSize); // Create a new list of actual children at the correct offsets + + var realChildren = []; + var minPos = depth; + var maxPos = depth; + var currPos = depth; + + for (var _i2 = 0; _i2 < children.length; _i2++) { + var _child = children[_i2]; + + if (_child.type === "kern") { + currPos += _child.size; + } else { + var _elem = _child.elem; + var classes = _child.wrapperClasses || []; + var style = _child.wrapperStyle || {}; + var childWrap = makeSpan(classes, [pstrut, _elem], undefined, style); + childWrap.style.top = makeEm(-pstrutSize - currPos - _elem.depth); + + if (_child.marginLeft) { + childWrap.style.marginLeft = _child.marginLeft; + } + + if (_child.marginRight) { + childWrap.style.marginRight = _child.marginRight; + } + + realChildren.push(childWrap); + currPos += _elem.height + _elem.depth; + } + + minPos = Math.min(minPos, currPos); + maxPos = Math.max(maxPos, currPos); + } // The vlist contents go in a table-cell with `vertical-align:bottom`. + // This cell's bottom edge will determine the containing table's baseline + // without overly expanding the containing line-box. + + + var vlist = makeSpan(["vlist"], realChildren); + vlist.style.height = makeEm(maxPos); // A second row is used if necessary to represent the vlist's depth. + + var rows; + + if (minPos < 0) { + // We will define depth in an empty span with display: table-cell. + // It should render with the height that we define. But Chrome, in + // contenteditable mode only, treats that span as if it contains some + // text content. And that min-height over-rides our desired height. + // So we put another empty span inside the depth strut span. + var emptySpan = makeSpan([], []); + var depthStrut = makeSpan(["vlist"], [emptySpan]); + depthStrut.style.height = makeEm(-minPos); // Safari wants the first row to have inline content; otherwise it + // puts the bottom of the *second* row on the baseline. + + var topStrut = makeSpan(["vlist-s"], [new SymbolNode("\u200B")]); + rows = [makeSpan(["vlist-r"], [vlist, topStrut]), makeSpan(["vlist-r"], [depthStrut])]; + } else { + rows = [makeSpan(["vlist-r"], [vlist])]; + } + + var vtable = makeSpan(["vlist-t"], rows); + + if (rows.length === 2) { + vtable.classes.push("vlist-t2"); + } + + vtable.height = maxPos; + vtable.depth = -minPos; + return vtable; +}; // Glue is a concept from TeX which is a flexible space between elements in +// either a vertical or horizontal list. In KaTeX, at least for now, it's +// static space between elements in a horizontal layout. + + +var makeGlue = function makeGlue(measurement, options) { + // Make an empty span for the space + var rule = makeSpan(["mspace"], [], options); + var size = calculateSize(measurement, options); + rule.style.marginRight = makeEm(size); + return rule; +}; // Takes font options, and returns the appropriate fontLookup name + + +var retrieveTextFontName = function retrieveTextFontName(fontFamily, fontWeight, fontShape) { + var baseFontName = ""; + + switch (fontFamily) { + case "amsrm": + baseFontName = "AMS"; + break; + + case "textrm": + baseFontName = "Main"; + break; + + case "textsf": + baseFontName = "SansSerif"; + break; + + case "texttt": + baseFontName = "Typewriter"; + break; + + default: + baseFontName = fontFamily; + // use fonts added by a plugin + } + + var fontStylesName; + + if (fontWeight === "textbf" && fontShape === "textit") { + fontStylesName = "BoldItalic"; + } else if (fontWeight === "textbf") { + fontStylesName = "Bold"; + } else if (fontWeight === "textit") { + fontStylesName = "Italic"; + } else { + fontStylesName = "Regular"; + } + + return baseFontName + "-" + fontStylesName; +}; +/** + * Maps TeX font commands to objects containing: + * - variant: string used for "mathvariant" attribute in buildMathML.js + * - fontName: the "style" parameter to fontMetrics.getCharacterMetrics + */ +// A map between tex font commands an MathML mathvariant attribute values + + +var fontMap = { + // styles + "mathbf": { + variant: "bold", + fontName: "Main-Bold" + }, + "mathrm": { + variant: "normal", + fontName: "Main-Regular" + }, + "textit": { + variant: "italic", + fontName: "Main-Italic" + }, + "mathit": { + variant: "italic", + fontName: "Main-Italic" + }, + "mathnormal": { + variant: "italic", + fontName: "Math-Italic" + }, + // "boldsymbol" is missing because they require the use of multiple fonts: + // Math-BoldItalic and Main-Bold. This is handled by a special case in + // makeOrd which ends up calling boldsymbol. + // families + "mathbb": { + variant: "double-struck", + fontName: "AMS-Regular" + }, + "mathcal": { + variant: "script", + fontName: "Caligraphic-Regular" + }, + "mathfrak": { + variant: "fraktur", + fontName: "Fraktur-Regular" + }, + "mathscr": { + variant: "script", + fontName: "Script-Regular" + }, + "mathsf": { + variant: "sans-serif", + fontName: "SansSerif-Regular" + }, + "mathtt": { + variant: "monospace", + fontName: "Typewriter-Regular" + } +}; +var svgData = { + // path, width, height + vec: ["vec", 0.471, 0.714], + // values from the font glyph + oiintSize1: ["oiintSize1", 0.957, 0.499], + // oval to overlay the integrand + oiintSize2: ["oiintSize2", 1.472, 0.659], + oiiintSize1: ["oiiintSize1", 1.304, 0.499], + oiiintSize2: ["oiiintSize2", 1.98, 0.659] +}; + +var staticSvg = function staticSvg(value, options) { + // Create a span with inline SVG for the element. + var _svgData$value = svgData[value], + pathName = _svgData$value[0], + width = _svgData$value[1], + height = _svgData$value[2]; + var path = new PathNode(pathName); + var svgNode = new SvgNode([path], { + "width": makeEm(width), + "height": makeEm(height), + // Override CSS rule `.katex svg { width: 100% }` + "style": "width:" + makeEm(width), + "viewBox": "0 0 " + 1000 * width + " " + 1000 * height, + "preserveAspectRatio": "xMinYMin" + }); + var span = makeSvgSpan(["overlay"], [svgNode], options); + span.height = height; + span.style.height = makeEm(height); + span.style.width = makeEm(width); + return span; +}; + +/* harmony default export */ var buildCommon = ({ + fontMap: fontMap, + makeSymbol: makeSymbol, + mathsym: mathsym, + makeSpan: makeSpan, + makeSvgSpan: makeSvgSpan, + makeLineSpan: makeLineSpan, + makeAnchor: makeAnchor, + makeFragment: makeFragment, + wrapFragment: wrapFragment, + makeVList: makeVList, + makeOrd: makeOrd, + makeGlue: makeGlue, + staticSvg: staticSvg, + svgData: svgData, + tryCombineChars: tryCombineChars +}); +;// CONCATENATED MODULE: ./src/spacingData.js +/** + * Describes spaces between different classes of atoms. + */ +var thinspace = { + number: 3, + unit: "mu" +}; +var mediumspace = { + number: 4, + unit: "mu" +}; +var thickspace = { + number: 5, + unit: "mu" +}; // Making the type below exact with all optional fields doesn't work due to +// - https://github.com/facebook/flow/issues/4582 +// - https://github.com/facebook/flow/issues/5688 +// However, since *all* fields are optional, $Shape<> works as suggested in 5688 +// above. + +// Spacing relationships for display and text styles +var spacings = { + mord: { + mop: thinspace, + mbin: mediumspace, + mrel: thickspace, + minner: thinspace + }, + mop: { + mord: thinspace, + mop: thinspace, + mrel: thickspace, + minner: thinspace + }, + mbin: { + mord: mediumspace, + mop: mediumspace, + mopen: mediumspace, + minner: mediumspace + }, + mrel: { + mord: thickspace, + mop: thickspace, + mopen: thickspace, + minner: thickspace + }, + mopen: {}, + mclose: { + mop: thinspace, + mbin: mediumspace, + mrel: thickspace, + minner: thinspace + }, + mpunct: { + mord: thinspace, + mop: thinspace, + mrel: thickspace, + mopen: thinspace, + mclose: thinspace, + mpunct: thinspace, + minner: thinspace + }, + minner: { + mord: thinspace, + mop: thinspace, + mbin: mediumspace, + mrel: thickspace, + mopen: thinspace, + mpunct: thinspace, + minner: thinspace + } +}; // Spacing relationships for script and scriptscript styles + +var tightSpacings = { + mord: { + mop: thinspace + }, + mop: { + mord: thinspace, + mop: thinspace + }, + mbin: {}, + mrel: {}, + mopen: {}, + mclose: { + mop: thinspace + }, + mpunct: {}, + minner: { + mop: thinspace + } +}; +;// CONCATENATED MODULE: ./src/defineFunction.js +/** Context provided to function handlers for error messages. */ +// Note: reverse the order of the return type union will cause a flow error. +// See https://github.com/facebook/flow/issues/3663. +// More general version of `HtmlBuilder` for nodes (e.g. \sum, accent types) +// whose presence impacts super/subscripting. In this case, ParseNode<"supsub"> +// delegates its HTML building to the HtmlBuilder corresponding to these nodes. + +/** + * Final function spec for use at parse time. + * This is almost identical to `FunctionPropSpec`, except it + * 1. includes the function handler, and + * 2. requires all arguments except argTypes. + * It is generated by `defineFunction()` below. + */ + +/** + * All registered functions. + * `functions.js` just exports this same dictionary again and makes it public. + * `Parser.js` requires this dictionary. + */ +var _functions = {}; +/** + * All HTML builders. Should be only used in the `define*` and the `build*ML` + * functions. + */ + +var _htmlGroupBuilders = {}; +/** + * All MathML builders. Should be only used in the `define*` and the `build*ML` + * functions. + */ + +var _mathmlGroupBuilders = {}; +function defineFunction(_ref) { + var type = _ref.type, + names = _ref.names, + props = _ref.props, + handler = _ref.handler, + htmlBuilder = _ref.htmlBuilder, + mathmlBuilder = _ref.mathmlBuilder; + // Set default values of functions + var data = { + type: type, + numArgs: props.numArgs, + argTypes: props.argTypes, + allowedInArgument: !!props.allowedInArgument, + allowedInText: !!props.allowedInText, + allowedInMath: props.allowedInMath === undefined ? true : props.allowedInMath, + numOptionalArgs: props.numOptionalArgs || 0, + infix: !!props.infix, + primitive: !!props.primitive, + handler: handler + }; + + for (var i = 0; i < names.length; ++i) { + _functions[names[i]] = data; + } + + if (type) { + if (htmlBuilder) { + _htmlGroupBuilders[type] = htmlBuilder; + } + + if (mathmlBuilder) { + _mathmlGroupBuilders[type] = mathmlBuilder; + } + } +} +/** + * Use this to register only the HTML and MathML builders for a function (e.g. + * if the function's ParseNode is generated in Parser.js rather than via a + * stand-alone handler provided to `defineFunction`). + */ + +function defineFunctionBuilders(_ref2) { + var type = _ref2.type, + htmlBuilder = _ref2.htmlBuilder, + mathmlBuilder = _ref2.mathmlBuilder; + defineFunction({ + type: type, + names: [], + props: { + numArgs: 0 + }, + handler: function handler() { + throw new Error('Should never be called.'); + }, + htmlBuilder: htmlBuilder, + mathmlBuilder: mathmlBuilder + }); +} +var normalizeArgument = function normalizeArgument(arg) { + return arg.type === "ordgroup" && arg.body.length === 1 ? arg.body[0] : arg; +}; // Since the corresponding buildHTML/buildMathML function expects a +// list of elements, we normalize for different kinds of arguments + +var ordargument = function ordargument(arg) { + return arg.type === "ordgroup" ? arg.body : [arg]; +}; +;// CONCATENATED MODULE: ./src/buildHTML.js +/** + * This file does the main work of building a domTree structure from a parse + * tree. The entry point is the `buildHTML` function, which takes a parse tree. + * Then, the buildExpression, buildGroup, and various groupBuilders functions + * are called, to produce a final HTML tree. + */ + + + + + + + + + +var buildHTML_makeSpan = buildCommon.makeSpan; // Binary atoms (first class `mbin`) change into ordinary atoms (`mord`) +// depending on their surroundings. See TeXbook pg. 442-446, Rules 5 and 6, +// and the text before Rule 19. + +var binLeftCanceller = ["leftmost", "mbin", "mopen", "mrel", "mop", "mpunct"]; +var binRightCanceller = ["rightmost", "mrel", "mclose", "mpunct"]; +var styleMap = { + "display": src_Style.DISPLAY, + "text": src_Style.TEXT, + "script": src_Style.SCRIPT, + "scriptscript": src_Style.SCRIPTSCRIPT +}; +var DomEnum = { + mord: "mord", + mop: "mop", + mbin: "mbin", + mrel: "mrel", + mopen: "mopen", + mclose: "mclose", + mpunct: "mpunct", + minner: "minner" +}; + +/** + * Take a list of nodes, build them in order, and return a list of the built + * nodes. documentFragments are flattened into their contents, so the + * returned list contains no fragments. `isRealGroup` is true if `expression` + * is a real group (no atoms will be added on either side), as opposed to + * a partial group (e.g. one created by \color). `surrounding` is an array + * consisting type of nodes that will be added to the left and right. + */ +var buildExpression = function buildExpression(expression, options, isRealGroup, surrounding) { + if (surrounding === void 0) { + surrounding = [null, null]; + } + + // Parse expressions into `groups`. + var groups = []; + + for (var i = 0; i < expression.length; i++) { + var output = buildGroup(expression[i], options); + + if (output instanceof DocumentFragment) { + var children = output.children; + groups.push.apply(groups, children); + } else { + groups.push(output); + } + } // Combine consecutive domTree.symbolNodes into a single symbolNode. + + + buildCommon.tryCombineChars(groups); // If `expression` is a partial group, let the parent handle spacings + // to avoid processing groups multiple times. + + if (!isRealGroup) { + return groups; + } + + var glueOptions = options; + + if (expression.length === 1) { + var node = expression[0]; + + if (node.type === "sizing") { + glueOptions = options.havingSize(node.size); + } else if (node.type === "styling") { + glueOptions = options.havingStyle(styleMap[node.style]); + } + } // Dummy spans for determining spacings between surrounding atoms. + // If `expression` has no atoms on the left or right, class "leftmost" + // or "rightmost", respectively, is used to indicate it. + + + var dummyPrev = buildHTML_makeSpan([surrounding[0] || "leftmost"], [], options); + var dummyNext = buildHTML_makeSpan([surrounding[1] || "rightmost"], [], options); // TODO: These code assumes that a node's math class is the first element + // of its `classes` array. A later cleanup should ensure this, for + // instance by changing the signature of `makeSpan`. + // Before determining what spaces to insert, perform bin cancellation. + // Binary operators change to ordinary symbols in some contexts. + + var isRoot = isRealGroup === "root"; + traverseNonSpaceNodes(groups, function (node, prev) { + var prevType = prev.classes[0]; + var type = node.classes[0]; + + if (prevType === "mbin" && utils.contains(binRightCanceller, type)) { + prev.classes[0] = "mord"; + } else if (type === "mbin" && utils.contains(binLeftCanceller, prevType)) { + node.classes[0] = "mord"; + } + }, { + node: dummyPrev + }, dummyNext, isRoot); + traverseNonSpaceNodes(groups, function (node, prev) { + var prevType = getTypeOfDomTree(prev); + var type = getTypeOfDomTree(node); // 'mtight' indicates that the node is script or scriptscript style. + + var space = prevType && type ? node.hasClass("mtight") ? tightSpacings[prevType][type] : spacings[prevType][type] : null; + + if (space) { + // Insert glue (spacing) after the `prev`. + return buildCommon.makeGlue(space, glueOptions); + } + }, { + node: dummyPrev + }, dummyNext, isRoot); + return groups; +}; // Depth-first traverse non-space `nodes`, calling `callback` with the current and +// previous node as arguments, optionally returning a node to insert after the +// previous node. `prev` is an object with the previous node and `insertAfter` +// function to insert after it. `next` is a node that will be added to the right. +// Used for bin cancellation and inserting spacings. + +var traverseNonSpaceNodes = function traverseNonSpaceNodes(nodes, callback, prev, next, isRoot) { + if (next) { + // temporarily append the right node, if exists + nodes.push(next); + } + + var i = 0; + + for (; i < nodes.length; i++) { + var node = nodes[i]; + var partialGroup = checkPartialGroup(node); + + if (partialGroup) { + // Recursive DFS + // $FlowFixMe: make nodes a $ReadOnlyArray by returning a new array + traverseNonSpaceNodes(partialGroup.children, callback, prev, null, isRoot); + continue; + } // Ignore explicit spaces (e.g., \;, \,) when determining what implicit + // spacing should go between atoms of different classes + + + var nonspace = !node.hasClass("mspace"); + + if (nonspace) { + var result = callback(node, prev.node); + + if (result) { + if (prev.insertAfter) { + prev.insertAfter(result); + } else { + // insert at front + nodes.unshift(result); + i++; + } + } + } + + if (nonspace) { + prev.node = node; + } else if (isRoot && node.hasClass("newline")) { + prev.node = buildHTML_makeSpan(["leftmost"]); // treat like beginning of line + } + + prev.insertAfter = function (index) { + return function (n) { + nodes.splice(index + 1, 0, n); + i++; + }; + }(i); + } + + if (next) { + nodes.pop(); + } +}; // Check if given node is a partial group, i.e., does not affect spacing around. + + +var checkPartialGroup = function checkPartialGroup(node) { + if (node instanceof DocumentFragment || node instanceof Anchor || node instanceof Span && node.hasClass("enclosing")) { + return node; + } + + return null; +}; // Return the outermost node of a domTree. + + +var getOutermostNode = function getOutermostNode(node, side) { + var partialGroup = checkPartialGroup(node); + + if (partialGroup) { + var children = partialGroup.children; + + if (children.length) { + if (side === "right") { + return getOutermostNode(children[children.length - 1], "right"); + } else if (side === "left") { + return getOutermostNode(children[0], "left"); + } + } + } + + return node; +}; // Return math atom class (mclass) of a domTree. +// If `side` is given, it will get the type of the outermost node at given side. + + +var getTypeOfDomTree = function getTypeOfDomTree(node, side) { + if (!node) { + return null; + } + + if (side) { + node = getOutermostNode(node, side); + } // This makes a lot of assumptions as to where the type of atom + // appears. We should do a better job of enforcing this. + + + return DomEnum[node.classes[0]] || null; +}; +var makeNullDelimiter = function makeNullDelimiter(options, classes) { + var moreClasses = ["nulldelimiter"].concat(options.baseSizingClasses()); + return buildHTML_makeSpan(classes.concat(moreClasses)); +}; +/** + * buildGroup is the function that takes a group and calls the correct groupType + * function for it. It also handles the interaction of size and style changes + * between parents and children. + */ + +var buildGroup = function buildGroup(group, options, baseOptions) { + if (!group) { + return buildHTML_makeSpan(); + } + + if (_htmlGroupBuilders[group.type]) { + // Call the groupBuilders function + // $FlowFixMe + var groupNode = _htmlGroupBuilders[group.type](group, options); // If the size changed between the parent and the current group, account + // for that size difference. + + if (baseOptions && options.size !== baseOptions.size) { + groupNode = buildHTML_makeSpan(options.sizingClasses(baseOptions), [groupNode], options); + var multiplier = options.sizeMultiplier / baseOptions.sizeMultiplier; + groupNode.height *= multiplier; + groupNode.depth *= multiplier; + } + + return groupNode; + } else { + throw new src_ParseError("Got group of unknown type: '" + group.type + "'"); + } +}; +/** + * Combine an array of HTML DOM nodes (e.g., the output of `buildExpression`) + * into an unbreakable HTML node of class .base, with proper struts to + * guarantee correct vertical extent. `buildHTML` calls this repeatedly to + * make up the entire expression as a sequence of unbreakable units. + */ + +function buildHTMLUnbreakable(children, options) { + // Compute height and depth of this chunk. + var body = buildHTML_makeSpan(["base"], children, options); // Add strut, which ensures that the top of the HTML element falls at + // the height of the expression, and the bottom of the HTML element + // falls at the depth of the expression. + + var strut = buildHTML_makeSpan(["strut"]); + strut.style.height = makeEm(body.height + body.depth); + + if (body.depth) { + strut.style.verticalAlign = makeEm(-body.depth); + } + + body.children.unshift(strut); + return body; +} +/** + * Take an entire parse tree, and build it into an appropriate set of HTML + * nodes. + */ + + +function buildHTML(tree, options) { + // Strip off outer tag wrapper for processing below. + var tag = null; + + if (tree.length === 1 && tree[0].type === "tag") { + tag = tree[0].tag; + tree = tree[0].body; + } // Build the expression contained in the tree + + + var expression = buildExpression(tree, options, "root"); + var eqnNum; + + if (expression.length === 2 && expression[1].hasClass("tag")) { + // An environment with automatic equation numbers, e.g. {gather}. + eqnNum = expression.pop(); + } + + var children = []; // Create one base node for each chunk between potential line breaks. + // The TeXBook [p.173] says "A formula will be broken only after a + // relation symbol like $=$ or $<$ or $\rightarrow$, or after a binary + // operation symbol like $+$ or $-$ or $\times$, where the relation or + // binary operation is on the ``outer level'' of the formula (i.e., not + // enclosed in {...} and not part of an \over construction)." + + var parts = []; + + for (var i = 0; i < expression.length; i++) { + parts.push(expression[i]); + + if (expression[i].hasClass("mbin") || expression[i].hasClass("mrel") || expression[i].hasClass("allowbreak")) { + // Put any post-operator glue on same line as operator. + // Watch for \nobreak along the way, and stop at \newline. + var nobreak = false; + + while (i < expression.length - 1 && expression[i + 1].hasClass("mspace") && !expression[i + 1].hasClass("newline")) { + i++; + parts.push(expression[i]); + + if (expression[i].hasClass("nobreak")) { + nobreak = true; + } + } // Don't allow break if \nobreak among the post-operator glue. + + + if (!nobreak) { + children.push(buildHTMLUnbreakable(parts, options)); + parts = []; + } + } else if (expression[i].hasClass("newline")) { + // Write the line except the newline + parts.pop(); + + if (parts.length > 0) { + children.push(buildHTMLUnbreakable(parts, options)); + parts = []; + } // Put the newline at the top level + + + children.push(expression[i]); + } + } + + if (parts.length > 0) { + children.push(buildHTMLUnbreakable(parts, options)); + } // Now, if there was a tag, build it too and append it as a final child. + + + var tagChild; + + if (tag) { + tagChild = buildHTMLUnbreakable(buildExpression(tag, options, true)); + tagChild.classes = ["tag"]; + children.push(tagChild); + } else if (eqnNum) { + children.push(eqnNum); + } + + var htmlNode = buildHTML_makeSpan(["katex-html"], children); + htmlNode.setAttribute("aria-hidden", "true"); // Adjust the strut of the tag to be the maximum height of all children + // (the height of the enclosing htmlNode) for proper vertical alignment. + + if (tagChild) { + var strut = tagChild.children[0]; + strut.style.height = makeEm(htmlNode.height + htmlNode.depth); + + if (htmlNode.depth) { + strut.style.verticalAlign = makeEm(-htmlNode.depth); + } + } + + return htmlNode; +} +;// CONCATENATED MODULE: ./src/mathMLTree.js +/** + * These objects store data about MathML nodes. This is the MathML equivalent + * of the types in domTree.js. Since MathML handles its own rendering, and + * since we're mainly using MathML to improve accessibility, we don't manage + * any of the styling state that the plain DOM nodes do. + * + * The `toNode` and `toMarkup` functions work simlarly to how they do in + * domTree.js, creating namespaced DOM nodes and HTML text markup respectively. + */ + + + + +function newDocumentFragment(children) { + return new DocumentFragment(children); +} +/** + * This node represents a general purpose MathML node of any type. The + * constructor requires the type of node to create (for example, `"mo"` or + * `"mspace"`, corresponding to `` and `` tags). + */ + +var MathNode = /*#__PURE__*/function () { + function MathNode(type, children, classes) { + this.type = void 0; + this.attributes = void 0; + this.children = void 0; + this.classes = void 0; + this.type = type; + this.attributes = {}; + this.children = children || []; + this.classes = classes || []; + } + /** + * Sets an attribute on a MathML node. MathML depends on attributes to convey a + * semantic content, so this is used heavily. + */ + + + var _proto = MathNode.prototype; + + _proto.setAttribute = function setAttribute(name, value) { + this.attributes[name] = value; + } + /** + * Gets an attribute on a MathML node. + */ + ; + + _proto.getAttribute = function getAttribute(name) { + return this.attributes[name]; + } + /** + * Converts the math node into a MathML-namespaced DOM element. + */ + ; + + _proto.toNode = function toNode() { + var node = document.createElementNS("http://www.w3.org/1998/Math/MathML", this.type); + + for (var attr in this.attributes) { + if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) { + node.setAttribute(attr, this.attributes[attr]); + } + } + + if (this.classes.length > 0) { + node.className = createClass(this.classes); + } + + for (var i = 0; i < this.children.length; i++) { + node.appendChild(this.children[i].toNode()); + } + + return node; + } + /** + * Converts the math node into an HTML markup string. + */ + ; + + _proto.toMarkup = function toMarkup() { + var markup = "<" + this.type; // Add the attributes + + for (var attr in this.attributes) { + if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) { + markup += " " + attr + "=\""; + markup += utils.escape(this.attributes[attr]); + markup += "\""; + } + } + + if (this.classes.length > 0) { + markup += " class =\"" + utils.escape(createClass(this.classes)) + "\""; + } + + markup += ">"; + + for (var i = 0; i < this.children.length; i++) { + markup += this.children[i].toMarkup(); + } + + markup += ""; + return markup; + } + /** + * Converts the math node into a string, similar to innerText, but escaped. + */ + ; + + _proto.toText = function toText() { + return this.children.map(function (child) { + return child.toText(); + }).join(""); + }; + + return MathNode; +}(); +/** + * This node represents a piece of text. + */ + +var TextNode = /*#__PURE__*/function () { + function TextNode(text) { + this.text = void 0; + this.text = text; + } + /** + * Converts the text node into a DOM text node. + */ + + + var _proto2 = TextNode.prototype; + + _proto2.toNode = function toNode() { + return document.createTextNode(this.text); + } + /** + * Converts the text node into escaped HTML markup + * (representing the text itself). + */ + ; + + _proto2.toMarkup = function toMarkup() { + return utils.escape(this.toText()); + } + /** + * Converts the text node into a string + * (representing the text iteself). + */ + ; + + _proto2.toText = function toText() { + return this.text; + }; + + return TextNode; +}(); +/** + * This node represents a space, but may render as or as text, + * depending on the width. + */ + +var SpaceNode = /*#__PURE__*/function () { + /** + * Create a Space node with width given in CSS ems. + */ + function SpaceNode(width) { + this.width = void 0; + this.character = void 0; + this.width = width; // See https://www.w3.org/TR/2000/WD-MathML2-20000328/chapter6.html + // for a table of space-like characters. We use Unicode + // representations instead of &LongNames; as it's not clear how to + // make the latter via document.createTextNode. + + if (width >= 0.05555 && width <= 0.05556) { + this.character = "\u200A"; //   + } else if (width >= 0.1666 && width <= 0.1667) { + this.character = "\u2009"; //   + } else if (width >= 0.2222 && width <= 0.2223) { + this.character = "\u2005"; //   + } else if (width >= 0.2777 && width <= 0.2778) { + this.character = "\u2005\u200A"; //    + } else if (width >= -0.05556 && width <= -0.05555) { + this.character = "\u200A\u2063"; // ​ + } else if (width >= -0.1667 && width <= -0.1666) { + this.character = "\u2009\u2063"; // ​ + } else if (width >= -0.2223 && width <= -0.2222) { + this.character = "\u205F\u2063"; // ​ + } else if (width >= -0.2778 && width <= -0.2777) { + this.character = "\u2005\u2063"; // ​ + } else { + this.character = null; + } + } + /** + * Converts the math node into a MathML-namespaced DOM element. + */ + + + var _proto3 = SpaceNode.prototype; + + _proto3.toNode = function toNode() { + if (this.character) { + return document.createTextNode(this.character); + } else { + var node = document.createElementNS("http://www.w3.org/1998/Math/MathML", "mspace"); + node.setAttribute("width", makeEm(this.width)); + return node; + } + } + /** + * Converts the math node into an HTML markup string. + */ + ; + + _proto3.toMarkup = function toMarkup() { + if (this.character) { + return "" + this.character + ""; + } else { + return ""; + } + } + /** + * Converts the math node into a string, similar to innerText. + */ + ; + + _proto3.toText = function toText() { + if (this.character) { + return this.character; + } else { + return " "; + } + }; + + return SpaceNode; +}(); + +/* harmony default export */ var mathMLTree = ({ + MathNode: MathNode, + TextNode: TextNode, + SpaceNode: SpaceNode, + newDocumentFragment: newDocumentFragment +}); +;// CONCATENATED MODULE: ./src/buildMathML.js +/** + * This file converts a parse tree into a cooresponding MathML tree. The main + * entry point is the `buildMathML` function, which takes a parse tree from the + * parser. + */ + + + + + + + + + +/** + * Takes a symbol and converts it into a MathML text node after performing + * optional replacement from symbols.js. + */ +var makeText = function makeText(text, mode, options) { + if (src_symbols[mode][text] && src_symbols[mode][text].replace && text.charCodeAt(0) !== 0xD835 && !(ligatures.hasOwnProperty(text) && options && (options.fontFamily && options.fontFamily.slice(4, 6) === "tt" || options.font && options.font.slice(4, 6) === "tt"))) { + text = src_symbols[mode][text].replace; + } + + return new mathMLTree.TextNode(text); +}; +/** + * Wrap the given array of nodes in an node if needed, i.e., + * unless the array has length 1. Always returns a single node. + */ + +var makeRow = function makeRow(body) { + if (body.length === 1) { + return body[0]; + } else { + return new mathMLTree.MathNode("mrow", body); + } +}; +/** + * Returns the math variant as a string or null if none is required. + */ + +var getVariant = function getVariant(group, options) { + // Handle \text... font specifiers as best we can. + // MathML has a limited list of allowable mathvariant specifiers; see + // https://www.w3.org/TR/MathML3/chapter3.html#presm.commatt + if (options.fontFamily === "texttt") { + return "monospace"; + } else if (options.fontFamily === "textsf") { + if (options.fontShape === "textit" && options.fontWeight === "textbf") { + return "sans-serif-bold-italic"; + } else if (options.fontShape === "textit") { + return "sans-serif-italic"; + } else if (options.fontWeight === "textbf") { + return "bold-sans-serif"; + } else { + return "sans-serif"; + } + } else if (options.fontShape === "textit" && options.fontWeight === "textbf") { + return "bold-italic"; + } else if (options.fontShape === "textit") { + return "italic"; + } else if (options.fontWeight === "textbf") { + return "bold"; + } + + var font = options.font; + + if (!font || font === "mathnormal") { + return null; + } + + var mode = group.mode; + + if (font === "mathit") { + return "italic"; + } else if (font === "boldsymbol") { + return group.type === "textord" ? "bold" : "bold-italic"; + } else if (font === "mathbf") { + return "bold"; + } else if (font === "mathbb") { + return "double-struck"; + } else if (font === "mathfrak") { + return "fraktur"; + } else if (font === "mathscr" || font === "mathcal") { + // MathML makes no distinction between script and caligrahpic + return "script"; + } else if (font === "mathsf") { + return "sans-serif"; + } else if (font === "mathtt") { + return "monospace"; + } + + var text = group.text; + + if (utils.contains(["\\imath", "\\jmath"], text)) { + return null; + } + + if (src_symbols[mode][text] && src_symbols[mode][text].replace) { + text = src_symbols[mode][text].replace; + } + + var fontName = buildCommon.fontMap[font].fontName; + + if (getCharacterMetrics(text, fontName, mode)) { + return buildCommon.fontMap[font].variant; + } + + return null; +}; +/** + * Takes a list of nodes, builds them, and returns a list of the generated + * MathML nodes. Also combine consecutive outputs into a single + * tag. + */ + +var buildMathML_buildExpression = function buildExpression(expression, options, isOrdgroup) { + if (expression.length === 1) { + var group = buildMathML_buildGroup(expression[0], options); + + if (isOrdgroup && group instanceof MathNode && group.type === "mo") { + // When TeX writers want to suppress spacing on an operator, + // they often put the operator by itself inside braces. + group.setAttribute("lspace", "0em"); + group.setAttribute("rspace", "0em"); + } + + return [group]; + } + + var groups = []; + var lastGroup; + + for (var i = 0; i < expression.length; i++) { + var _group = buildMathML_buildGroup(expression[i], options); + + if (_group instanceof MathNode && lastGroup instanceof MathNode) { + // Concatenate adjacent s + if (_group.type === 'mtext' && lastGroup.type === 'mtext' && _group.getAttribute('mathvariant') === lastGroup.getAttribute('mathvariant')) { + var _lastGroup$children; + + (_lastGroup$children = lastGroup.children).push.apply(_lastGroup$children, _group.children); + + continue; // Concatenate adjacent s + } else if (_group.type === 'mn' && lastGroup.type === 'mn') { + var _lastGroup$children2; + + (_lastGroup$children2 = lastGroup.children).push.apply(_lastGroup$children2, _group.children); + + continue; // Concatenate ... followed by . + } else if (_group.type === 'mi' && _group.children.length === 1 && lastGroup.type === 'mn') { + var child = _group.children[0]; + + if (child instanceof TextNode && child.text === '.') { + var _lastGroup$children3; + + (_lastGroup$children3 = lastGroup.children).push.apply(_lastGroup$children3, _group.children); + + continue; + } + } else if (lastGroup.type === 'mi' && lastGroup.children.length === 1) { + var lastChild = lastGroup.children[0]; + + if (lastChild instanceof TextNode && lastChild.text === "\u0338" && (_group.type === 'mo' || _group.type === 'mi' || _group.type === 'mn')) { + var _child = _group.children[0]; + + if (_child instanceof TextNode && _child.text.length > 0) { + // Overlay with combining character long solidus + _child.text = _child.text.slice(0, 1) + "\u0338" + _child.text.slice(1); + groups.pop(); + } + } + } + } + + groups.push(_group); + lastGroup = _group; + } + + return groups; +}; +/** + * Equivalent to buildExpression, but wraps the elements in an + * if there's more than one. Returns a single node instead of an array. + */ + +var buildExpressionRow = function buildExpressionRow(expression, options, isOrdgroup) { + return makeRow(buildMathML_buildExpression(expression, options, isOrdgroup)); +}; +/** + * Takes a group from the parser and calls the appropriate groupBuilders function + * on it to produce a MathML node. + */ + +var buildMathML_buildGroup = function buildGroup(group, options) { + if (!group) { + return new mathMLTree.MathNode("mrow"); + } + + if (_mathmlGroupBuilders[group.type]) { + // Call the groupBuilders function + // $FlowFixMe + var result = _mathmlGroupBuilders[group.type](group, options); // $FlowFixMe + + return result; + } else { + throw new src_ParseError("Got group of unknown type: '" + group.type + "'"); + } +}; +/** + * Takes a full parse tree and settings and builds a MathML representation of + * it. In particular, we put the elements from building the parse tree into a + * tag so we can also include that TeX source as an annotation. + * + * Note that we actually return a domTree element with a `` inside it so + * we can do appropriate styling. + */ + +function buildMathML(tree, texExpression, options, isDisplayMode, forMathmlOnly) { + var expression = buildMathML_buildExpression(tree, options); // TODO: Make a pass thru the MathML similar to buildHTML.traverseNonSpaceNodes + // and add spacing nodes. This is necessary only adjacent to math operators + // like \sin or \lim or to subsup elements that contain math operators. + // MathML takes care of the other spacing issues. + // Wrap up the expression in an mrow so it is presented in the semantics + // tag correctly, unless it's a single or . + + var wrapper; + + if (expression.length === 1 && expression[0] instanceof MathNode && utils.contains(["mrow", "mtable"], expression[0].type)) { + wrapper = expression[0]; + } else { + wrapper = new mathMLTree.MathNode("mrow", expression); + } // Build a TeX annotation of the source + + + var annotation = new mathMLTree.MathNode("annotation", [new mathMLTree.TextNode(texExpression)]); + annotation.setAttribute("encoding", "application/x-tex"); + var semantics = new mathMLTree.MathNode("semantics", [wrapper, annotation]); + var math = new mathMLTree.MathNode("math", [semantics]); + math.setAttribute("xmlns", "http://www.w3.org/1998/Math/MathML"); + + if (isDisplayMode) { + math.setAttribute("display", "block"); + } // You can't style nodes, so we wrap the node in a span. + // NOTE: The span class is not typed to have nodes as children, and + // we don't want to make the children type more generic since the children + // of span are expected to have more fields in `buildHtml` contexts. + + + var wrapperClass = forMathmlOnly ? "katex" : "katex-mathml"; // $FlowFixMe + + return buildCommon.makeSpan([wrapperClass], [math]); +} +;// CONCATENATED MODULE: ./src/buildTree.js + + + + + + + +var optionsFromSettings = function optionsFromSettings(settings) { + return new src_Options({ + style: settings.displayMode ? src_Style.DISPLAY : src_Style.TEXT, + maxSize: settings.maxSize, + minRuleThickness: settings.minRuleThickness + }); +}; + +var displayWrap = function displayWrap(node, settings) { + if (settings.displayMode) { + var classes = ["katex-display"]; + + if (settings.leqno) { + classes.push("leqno"); + } + + if (settings.fleqn) { + classes.push("fleqn"); + } + + node = buildCommon.makeSpan(classes, [node]); + } + + return node; +}; + +var buildTree = function buildTree(tree, expression, settings) { + var options = optionsFromSettings(settings); + var katexNode; + + if (settings.output === "mathml") { + return buildMathML(tree, expression, options, settings.displayMode, true); + } else if (settings.output === "html") { + var htmlNode = buildHTML(tree, options); + katexNode = buildCommon.makeSpan(["katex"], [htmlNode]); + } else { + var mathMLNode = buildMathML(tree, expression, options, settings.displayMode, false); + + var _htmlNode = buildHTML(tree, options); + + katexNode = buildCommon.makeSpan(["katex"], [mathMLNode, _htmlNode]); + } + + return displayWrap(katexNode, settings); +}; +var buildHTMLTree = function buildHTMLTree(tree, expression, settings) { + var options = optionsFromSettings(settings); + var htmlNode = buildHTML(tree, options); + var katexNode = buildCommon.makeSpan(["katex"], [htmlNode]); + return displayWrap(katexNode, settings); +}; +/* harmony default export */ var src_buildTree = ((/* unused pure expression or super */ null && (buildTree))); +;// CONCATENATED MODULE: ./src/stretchy.js +/** + * This file provides support to buildMathML.js and buildHTML.js + * for stretchy wide elements rendered from SVG files + * and other CSS trickery. + */ + + + + + +var stretchyCodePoint = { + widehat: "^", + widecheck: "ˇ", + widetilde: "~", + utilde: "~", + overleftarrow: "\u2190", + underleftarrow: "\u2190", + xleftarrow: "\u2190", + overrightarrow: "\u2192", + underrightarrow: "\u2192", + xrightarrow: "\u2192", + underbrace: "\u23DF", + overbrace: "\u23DE", + overgroup: "\u23E0", + undergroup: "\u23E1", + overleftrightarrow: "\u2194", + underleftrightarrow: "\u2194", + xleftrightarrow: "\u2194", + Overrightarrow: "\u21D2", + xRightarrow: "\u21D2", + overleftharpoon: "\u21BC", + xleftharpoonup: "\u21BC", + overrightharpoon: "\u21C0", + xrightharpoonup: "\u21C0", + xLeftarrow: "\u21D0", + xLeftrightarrow: "\u21D4", + xhookleftarrow: "\u21A9", + xhookrightarrow: "\u21AA", + xmapsto: "\u21A6", + xrightharpoondown: "\u21C1", + xleftharpoondown: "\u21BD", + xrightleftharpoons: "\u21CC", + xleftrightharpoons: "\u21CB", + xtwoheadleftarrow: "\u219E", + xtwoheadrightarrow: "\u21A0", + xlongequal: "=", + xtofrom: "\u21C4", + xrightleftarrows: "\u21C4", + xrightequilibrium: "\u21CC", + // Not a perfect match. + xleftequilibrium: "\u21CB", + // None better available. + "\\cdrightarrow": "\u2192", + "\\cdleftarrow": "\u2190", + "\\cdlongequal": "=" +}; + +var mathMLnode = function mathMLnode(label) { + var node = new mathMLTree.MathNode("mo", [new mathMLTree.TextNode(stretchyCodePoint[label.replace(/^\\/, '')])]); + node.setAttribute("stretchy", "true"); + return node; +}; // Many of the KaTeX SVG images have been adapted from glyphs in KaTeX fonts. +// Copyright (c) 2009-2010, Design Science, Inc. () +// Copyright (c) 2014-2017 Khan Academy () +// Licensed under the SIL Open Font License, Version 1.1. +// See \nhttp://scripts.sil.org/OFL +// Very Long SVGs +// Many of the KaTeX stretchy wide elements use a long SVG image and an +// overflow: hidden tactic to achieve a stretchy image while avoiding +// distortion of arrowheads or brace corners. +// The SVG typically contains a very long (400 em) arrow. +// The SVG is in a container span that has overflow: hidden, so the span +// acts like a window that exposes only part of the SVG. +// The SVG always has a longer, thinner aspect ratio than the container span. +// After the SVG fills 100% of the height of the container span, +// there is a long arrow shaft left over. That left-over shaft is not shown. +// Instead, it is sliced off because the span's CSS has overflow: hidden. +// Thus, the reader sees an arrow that matches the subject matter width +// without distortion. +// Some functions, such as \cancel, need to vary their aspect ratio. These +// functions do not get the overflow SVG treatment. +// Second Brush Stroke +// Low resolution monitors struggle to display images in fine detail. +// So browsers apply anti-aliasing. A long straight arrow shaft therefore +// will sometimes appear as if it has a blurred edge. +// To mitigate this, these SVG files contain a second "brush-stroke" on the +// arrow shafts. That is, a second long thin rectangular SVG path has been +// written directly on top of each arrow shaft. This reinforcement causes +// some of the screen pixels to display as black instead of the anti-aliased +// gray pixel that a single path would generate. So we get arrow shafts +// whose edges appear to be sharper. +// In the katexImagesData object just below, the dimensions all +// correspond to path geometry inside the relevant SVG. +// For example, \overrightarrow uses the same arrowhead as glyph U+2192 +// from the KaTeX Main font. The scaling factor is 1000. +// That is, inside the font, that arrowhead is 522 units tall, which +// corresponds to 0.522 em inside the document. + + +var katexImagesData = { + // path(s), minWidth, height, align + overrightarrow: [["rightarrow"], 0.888, 522, "xMaxYMin"], + overleftarrow: [["leftarrow"], 0.888, 522, "xMinYMin"], + underrightarrow: [["rightarrow"], 0.888, 522, "xMaxYMin"], + underleftarrow: [["leftarrow"], 0.888, 522, "xMinYMin"], + xrightarrow: [["rightarrow"], 1.469, 522, "xMaxYMin"], + "\\cdrightarrow": [["rightarrow"], 3.0, 522, "xMaxYMin"], + // CD minwwidth2.5pc + xleftarrow: [["leftarrow"], 1.469, 522, "xMinYMin"], + "\\cdleftarrow": [["leftarrow"], 3.0, 522, "xMinYMin"], + Overrightarrow: [["doublerightarrow"], 0.888, 560, "xMaxYMin"], + xRightarrow: [["doublerightarrow"], 1.526, 560, "xMaxYMin"], + xLeftarrow: [["doubleleftarrow"], 1.526, 560, "xMinYMin"], + overleftharpoon: [["leftharpoon"], 0.888, 522, "xMinYMin"], + xleftharpoonup: [["leftharpoon"], 0.888, 522, "xMinYMin"], + xleftharpoondown: [["leftharpoondown"], 0.888, 522, "xMinYMin"], + overrightharpoon: [["rightharpoon"], 0.888, 522, "xMaxYMin"], + xrightharpoonup: [["rightharpoon"], 0.888, 522, "xMaxYMin"], + xrightharpoondown: [["rightharpoondown"], 0.888, 522, "xMaxYMin"], + xlongequal: [["longequal"], 0.888, 334, "xMinYMin"], + "\\cdlongequal": [["longequal"], 3.0, 334, "xMinYMin"], + xtwoheadleftarrow: [["twoheadleftarrow"], 0.888, 334, "xMinYMin"], + xtwoheadrightarrow: [["twoheadrightarrow"], 0.888, 334, "xMaxYMin"], + overleftrightarrow: [["leftarrow", "rightarrow"], 0.888, 522], + overbrace: [["leftbrace", "midbrace", "rightbrace"], 1.6, 548], + underbrace: [["leftbraceunder", "midbraceunder", "rightbraceunder"], 1.6, 548], + underleftrightarrow: [["leftarrow", "rightarrow"], 0.888, 522], + xleftrightarrow: [["leftarrow", "rightarrow"], 1.75, 522], + xLeftrightarrow: [["doubleleftarrow", "doublerightarrow"], 1.75, 560], + xrightleftharpoons: [["leftharpoondownplus", "rightharpoonplus"], 1.75, 716], + xleftrightharpoons: [["leftharpoonplus", "rightharpoondownplus"], 1.75, 716], + xhookleftarrow: [["leftarrow", "righthook"], 1.08, 522], + xhookrightarrow: [["lefthook", "rightarrow"], 1.08, 522], + overlinesegment: [["leftlinesegment", "rightlinesegment"], 0.888, 522], + underlinesegment: [["leftlinesegment", "rightlinesegment"], 0.888, 522], + overgroup: [["leftgroup", "rightgroup"], 0.888, 342], + undergroup: [["leftgroupunder", "rightgroupunder"], 0.888, 342], + xmapsto: [["leftmapsto", "rightarrow"], 1.5, 522], + xtofrom: [["leftToFrom", "rightToFrom"], 1.75, 528], + // The next three arrows are from the mhchem package. + // In mhchem.sty, min-length is 2.0em. But these arrows might appear in the + // document as \xrightarrow or \xrightleftharpoons. Those have + // min-length = 1.75em, so we set min-length on these next three to match. + xrightleftarrows: [["baraboveleftarrow", "rightarrowabovebar"], 1.75, 901], + xrightequilibrium: [["baraboveshortleftharpoon", "rightharpoonaboveshortbar"], 1.75, 716], + xleftequilibrium: [["shortbaraboveleftharpoon", "shortrightharpoonabovebar"], 1.75, 716] +}; + +var groupLength = function groupLength(arg) { + if (arg.type === "ordgroup") { + return arg.body.length; + } else { + return 1; + } +}; + +var svgSpan = function svgSpan(group, options) { + // Create a span with inline SVG for the element. + function buildSvgSpan_() { + var viewBoxWidth = 400000; // default + + var label = group.label.slice(1); + + if (utils.contains(["widehat", "widecheck", "widetilde", "utilde"], label)) { + // Each type in the `if` statement corresponds to one of the ParseNode + // types below. This narrowing is required to access `grp.base`. + // $FlowFixMe + var grp = group; // There are four SVG images available for each function. + // Choose a taller image when there are more characters. + + var numChars = groupLength(grp.base); + var viewBoxHeight; + var pathName; + + var _height; + + if (numChars > 5) { + if (label === "widehat" || label === "widecheck") { + viewBoxHeight = 420; + viewBoxWidth = 2364; + _height = 0.42; + pathName = label + "4"; + } else { + viewBoxHeight = 312; + viewBoxWidth = 2340; + _height = 0.34; + pathName = "tilde4"; + } + } else { + var imgIndex = [1, 1, 2, 2, 3, 3][numChars]; + + if (label === "widehat" || label === "widecheck") { + viewBoxWidth = [0, 1062, 2364, 2364, 2364][imgIndex]; + viewBoxHeight = [0, 239, 300, 360, 420][imgIndex]; + _height = [0, 0.24, 0.3, 0.3, 0.36, 0.42][imgIndex]; + pathName = label + imgIndex; + } else { + viewBoxWidth = [0, 600, 1033, 2339, 2340][imgIndex]; + viewBoxHeight = [0, 260, 286, 306, 312][imgIndex]; + _height = [0, 0.26, 0.286, 0.3, 0.306, 0.34][imgIndex]; + pathName = "tilde" + imgIndex; + } + } + + var path = new PathNode(pathName); + var svgNode = new SvgNode([path], { + "width": "100%", + "height": makeEm(_height), + "viewBox": "0 0 " + viewBoxWidth + " " + viewBoxHeight, + "preserveAspectRatio": "none" + }); + return { + span: buildCommon.makeSvgSpan([], [svgNode], options), + minWidth: 0, + height: _height + }; + } else { + var spans = []; + var data = katexImagesData[label]; + var paths = data[0], + _minWidth = data[1], + _viewBoxHeight = data[2]; + + var _height2 = _viewBoxHeight / 1000; + + var numSvgChildren = paths.length; + var widthClasses; + var aligns; + + if (numSvgChildren === 1) { + // $FlowFixMe: All these cases must be of the 4-tuple type. + var align1 = data[3]; + widthClasses = ["hide-tail"]; + aligns = [align1]; + } else if (numSvgChildren === 2) { + widthClasses = ["halfarrow-left", "halfarrow-right"]; + aligns = ["xMinYMin", "xMaxYMin"]; + } else if (numSvgChildren === 3) { + widthClasses = ["brace-left", "brace-center", "brace-right"]; + aligns = ["xMinYMin", "xMidYMin", "xMaxYMin"]; + } else { + throw new Error("Correct katexImagesData or update code here to support\n " + numSvgChildren + " children."); + } + + for (var i = 0; i < numSvgChildren; i++) { + var _path = new PathNode(paths[i]); + + var _svgNode = new SvgNode([_path], { + "width": "400em", + "height": makeEm(_height2), + "viewBox": "0 0 " + viewBoxWidth + " " + _viewBoxHeight, + "preserveAspectRatio": aligns[i] + " slice" + }); + + var _span = buildCommon.makeSvgSpan([widthClasses[i]], [_svgNode], options); + + if (numSvgChildren === 1) { + return { + span: _span, + minWidth: _minWidth, + height: _height2 + }; + } else { + _span.style.height = makeEm(_height2); + spans.push(_span); + } + } + + return { + span: buildCommon.makeSpan(["stretchy"], spans, options), + minWidth: _minWidth, + height: _height2 + }; + } + } // buildSvgSpan_() + + + var _buildSvgSpan_ = buildSvgSpan_(), + span = _buildSvgSpan_.span, + minWidth = _buildSvgSpan_.minWidth, + height = _buildSvgSpan_.height; // Note that we are returning span.depth = 0. + // Any adjustments relative to the baseline must be done in buildHTML. + + + span.height = height; + span.style.height = makeEm(height); + + if (minWidth > 0) { + span.style.minWidth = makeEm(minWidth); + } + + return span; +}; + +var encloseSpan = function encloseSpan(inner, label, topPad, bottomPad, options) { + // Return an image span for \cancel, \bcancel, \xcancel, \fbox, or \angl + var img; + var totalHeight = inner.height + inner.depth + topPad + bottomPad; + + if (/fbox|color|angl/.test(label)) { + img = buildCommon.makeSpan(["stretchy", label], [], options); + + if (label === "fbox") { + var color = options.color && options.getColor(); + + if (color) { + img.style.borderColor = color; + } + } + } else { + // \cancel, \bcancel, or \xcancel + // Since \cancel's SVG is inline and it omits the viewBox attribute, + // its stroke-width will not vary with span area. + var lines = []; + + if (/^[bx]cancel$/.test(label)) { + lines.push(new LineNode({ + "x1": "0", + "y1": "0", + "x2": "100%", + "y2": "100%", + "stroke-width": "0.046em" + })); + } + + if (/^x?cancel$/.test(label)) { + lines.push(new LineNode({ + "x1": "0", + "y1": "100%", + "x2": "100%", + "y2": "0", + "stroke-width": "0.046em" + })); + } + + var svgNode = new SvgNode(lines, { + "width": "100%", + "height": makeEm(totalHeight) + }); + img = buildCommon.makeSvgSpan([], [svgNode], options); + } + + img.height = totalHeight; + img.style.height = makeEm(totalHeight); + return img; +}; + +/* harmony default export */ var stretchy = ({ + encloseSpan: encloseSpan, + mathMLnode: mathMLnode, + svgSpan: svgSpan +}); +;// CONCATENATED MODULE: ./src/parseNode.js + + +/** + * Asserts that the node is of the given type and returns it with stricter + * typing. Throws if the node's type does not match. + */ +function assertNodeType(node, type) { + if (!node || node.type !== type) { + throw new Error("Expected node of type " + type + ", but got " + (node ? "node of type " + node.type : String(node))); + } // $FlowFixMe, >=0.125 + + + return node; +} +/** + * Returns the node more strictly typed iff it is of the given type. Otherwise, + * returns null. + */ + +function assertSymbolNodeType(node) { + var typedNode = checkSymbolNodeType(node); + + if (!typedNode) { + throw new Error("Expected node of symbol group type, but got " + (node ? "node of type " + node.type : String(node))); + } + + return typedNode; +} +/** + * Returns the node more strictly typed iff it is of the given type. Otherwise, + * returns null. + */ + +function checkSymbolNodeType(node) { + if (node && (node.type === "atom" || NON_ATOMS.hasOwnProperty(node.type))) { + // $FlowFixMe + return node; + } + + return null; +} +;// CONCATENATED MODULE: ./src/functions/accent.js + + + + + + + + + + +// NOTE: Unlike most `htmlBuilder`s, this one handles not only "accent", but +// also "supsub" since an accent can affect super/subscripting. +var htmlBuilder = function htmlBuilder(grp, options) { + // Accents are handled in the TeXbook pg. 443, rule 12. + var base; + var group; + var supSubGroup; + + if (grp && grp.type === "supsub") { + // If our base is a character box, and we have superscripts and + // subscripts, the supsub will defer to us. In particular, we want + // to attach the superscripts and subscripts to the inner body (so + // that the position of the superscripts and subscripts won't be + // affected by the height of the accent). We accomplish this by + // sticking the base of the accent into the base of the supsub, and + // rendering that, while keeping track of where the accent is. + // The real accent group is the base of the supsub group + group = assertNodeType(grp.base, "accent"); // The character box is the base of the accent group + + base = group.base; // Stick the character box into the base of the supsub group + + grp.base = base; // Rerender the supsub group with its new base, and store that + // result. + + supSubGroup = assertSpan(buildGroup(grp, options)); // reset original base + + grp.base = group; + } else { + group = assertNodeType(grp, "accent"); + base = group.base; + } // Build the base group + + + var body = buildGroup(base, options.havingCrampedStyle()); // Does the accent need to shift for the skew of a character? + + var mustShift = group.isShifty && utils.isCharacterBox(base); // Calculate the skew of the accent. This is based on the line "If the + // nucleus is not a single character, let s = 0; otherwise set s to the + // kern amount for the nucleus followed by the \skewchar of its font." + // Note that our skew metrics are just the kern between each character + // and the skewchar. + + var skew = 0; + + if (mustShift) { + // If the base is a character box, then we want the skew of the + // innermost character. To do that, we find the innermost character: + var baseChar = utils.getBaseElem(base); // Then, we render its group to get the symbol inside it + + var baseGroup = buildGroup(baseChar, options.havingCrampedStyle()); // Finally, we pull the skew off of the symbol. + + skew = assertSymbolDomNode(baseGroup).skew; // Note that we now throw away baseGroup, because the layers we + // removed with getBaseElem might contain things like \color which + // we can't get rid of. + // TODO(emily): Find a better way to get the skew + } + + var accentBelow = group.label === "\\c"; // calculate the amount of space between the body and the accent + + var clearance = accentBelow ? body.height + body.depth : Math.min(body.height, options.fontMetrics().xHeight); // Build the accent + + var accentBody; + + if (!group.isStretchy) { + var accent; + var width; + + if (group.label === "\\vec") { + // Before version 0.9, \vec used the combining font glyph U+20D7. + // But browsers, especially Safari, are not consistent in how they + // render combining characters when not preceded by a character. + // So now we use an SVG. + // If Safari reforms, we should consider reverting to the glyph. + accent = buildCommon.staticSvg("vec", options); + width = buildCommon.svgData.vec[1]; + } else { + accent = buildCommon.makeOrd({ + mode: group.mode, + text: group.label + }, options, "textord"); + accent = assertSymbolDomNode(accent); // Remove the italic correction of the accent, because it only serves to + // shift the accent over to a place we don't want. + + accent.italic = 0; + width = accent.width; + + if (accentBelow) { + clearance += accent.depth; + } + } + + accentBody = buildCommon.makeSpan(["accent-body"], [accent]); // "Full" accents expand the width of the resulting symbol to be + // at least the width of the accent, and overlap directly onto the + // character without any vertical offset. + + var accentFull = group.label === "\\textcircled"; + + if (accentFull) { + accentBody.classes.push('accent-full'); + clearance = body.height; + } // Shift the accent over by the skew. + + + var left = skew; // CSS defines `.katex .accent .accent-body:not(.accent-full) { width: 0 }` + // so that the accent doesn't contribute to the bounding box. + // We need to shift the character by its width (effectively half + // its width) to compensate. + + if (!accentFull) { + left -= width / 2; + } + + accentBody.style.left = makeEm(left); // \textcircled uses the \bigcirc glyph, so it needs some + // vertical adjustment to match LaTeX. + + if (group.label === "\\textcircled") { + accentBody.style.top = ".2em"; + } + + accentBody = buildCommon.makeVList({ + positionType: "firstBaseline", + children: [{ + type: "elem", + elem: body + }, { + type: "kern", + size: -clearance + }, { + type: "elem", + elem: accentBody + }] + }, options); + } else { + accentBody = stretchy.svgSpan(group, options); + accentBody = buildCommon.makeVList({ + positionType: "firstBaseline", + children: [{ + type: "elem", + elem: body + }, { + type: "elem", + elem: accentBody, + wrapperClasses: ["svg-align"], + wrapperStyle: skew > 0 ? { + width: "calc(100% - " + makeEm(2 * skew) + ")", + marginLeft: makeEm(2 * skew) + } : undefined + }] + }, options); + } + + var accentWrap = buildCommon.makeSpan(["mord", "accent"], [accentBody], options); + + if (supSubGroup) { + // Here, we replace the "base" child of the supsub with our newly + // generated accent. + supSubGroup.children[0] = accentWrap; // Since we don't rerun the height calculation after replacing the + // accent, we manually recalculate height. + + supSubGroup.height = Math.max(accentWrap.height, supSubGroup.height); // Accents should always be ords, even when their innards are not. + + supSubGroup.classes[0] = "mord"; + return supSubGroup; + } else { + return accentWrap; + } +}; + +var mathmlBuilder = function mathmlBuilder(group, options) { + var accentNode = group.isStretchy ? stretchy.mathMLnode(group.label) : new mathMLTree.MathNode("mo", [makeText(group.label, group.mode)]); + var node = new mathMLTree.MathNode("mover", [buildMathML_buildGroup(group.base, options), accentNode]); + node.setAttribute("accent", "true"); + return node; +}; + +var NON_STRETCHY_ACCENT_REGEX = new RegExp(["\\acute", "\\grave", "\\ddot", "\\tilde", "\\bar", "\\breve", "\\check", "\\hat", "\\vec", "\\dot", "\\mathring"].map(function (accent) { + return "\\" + accent; +}).join("|")); // Accents + +defineFunction({ + type: "accent", + names: ["\\acute", "\\grave", "\\ddot", "\\tilde", "\\bar", "\\breve", "\\check", "\\hat", "\\vec", "\\dot", "\\mathring", "\\widecheck", "\\widehat", "\\widetilde", "\\overrightarrow", "\\overleftarrow", "\\Overrightarrow", "\\overleftrightarrow", "\\overgroup", "\\overlinesegment", "\\overleftharpoon", "\\overrightharpoon"], + props: { + numArgs: 1 + }, + handler: function handler(context, args) { + var base = normalizeArgument(args[0]); + var isStretchy = !NON_STRETCHY_ACCENT_REGEX.test(context.funcName); + var isShifty = !isStretchy || context.funcName === "\\widehat" || context.funcName === "\\widetilde" || context.funcName === "\\widecheck"; + return { + type: "accent", + mode: context.parser.mode, + label: context.funcName, + isStretchy: isStretchy, + isShifty: isShifty, + base: base + }; + }, + htmlBuilder: htmlBuilder, + mathmlBuilder: mathmlBuilder +}); // Text-mode accents + +defineFunction({ + type: "accent", + names: ["\\'", "\\`", "\\^", "\\~", "\\=", "\\u", "\\.", '\\"', "\\c", "\\r", "\\H", "\\v", "\\textcircled"], + props: { + numArgs: 1, + allowedInText: true, + allowedInMath: true, + // unless in strict mode + argTypes: ["primitive"] + }, + handler: function handler(context, args) { + var base = args[0]; + var mode = context.parser.mode; + + if (mode === "math") { + context.parser.settings.reportNonstrict("mathVsTextAccents", "LaTeX's accent " + context.funcName + " works only in text mode"); + mode = "text"; + } + + return { + type: "accent", + mode: mode, + label: context.funcName, + isStretchy: false, + isShifty: true, + base: base + }; + }, + htmlBuilder: htmlBuilder, + mathmlBuilder: mathmlBuilder +}); +;// CONCATENATED MODULE: ./src/functions/accentunder.js +// Horizontal overlap functions + + + + + + +defineFunction({ + type: "accentUnder", + names: ["\\underleftarrow", "\\underrightarrow", "\\underleftrightarrow", "\\undergroup", "\\underlinesegment", "\\utilde"], + props: { + numArgs: 1 + }, + handler: function handler(_ref, args) { + var parser = _ref.parser, + funcName = _ref.funcName; + var base = args[0]; + return { + type: "accentUnder", + mode: parser.mode, + label: funcName, + base: base + }; + }, + htmlBuilder: function htmlBuilder(group, options) { + // Treat under accents much like underlines. + var innerGroup = buildGroup(group.base, options); + var accentBody = stretchy.svgSpan(group, options); + var kern = group.label === "\\utilde" ? 0.12 : 0; // Generate the vlist, with the appropriate kerns + + var vlist = buildCommon.makeVList({ + positionType: "top", + positionData: innerGroup.height, + children: [{ + type: "elem", + elem: accentBody, + wrapperClasses: ["svg-align"] + }, { + type: "kern", + size: kern + }, { + type: "elem", + elem: innerGroup + }] + }, options); + return buildCommon.makeSpan(["mord", "accentunder"], [vlist], options); + }, + mathmlBuilder: function mathmlBuilder(group, options) { + var accentNode = stretchy.mathMLnode(group.label); + var node = new mathMLTree.MathNode("munder", [buildMathML_buildGroup(group.base, options), accentNode]); + node.setAttribute("accentunder", "true"); + return node; + } +}); +;// CONCATENATED MODULE: ./src/functions/arrow.js + + + + + + + +// Helper function +var paddedNode = function paddedNode(group) { + var node = new mathMLTree.MathNode("mpadded", group ? [group] : []); + node.setAttribute("width", "+0.6em"); + node.setAttribute("lspace", "0.3em"); + return node; +}; // Stretchy arrows with an optional argument + + +defineFunction({ + type: "xArrow", + names: ["\\xleftarrow", "\\xrightarrow", "\\xLeftarrow", "\\xRightarrow", "\\xleftrightarrow", "\\xLeftrightarrow", "\\xhookleftarrow", "\\xhookrightarrow", "\\xmapsto", "\\xrightharpoondown", "\\xrightharpoonup", "\\xleftharpoondown", "\\xleftharpoonup", "\\xrightleftharpoons", "\\xleftrightharpoons", "\\xlongequal", "\\xtwoheadrightarrow", "\\xtwoheadleftarrow", "\\xtofrom", // The next 3 functions are here to support the mhchem extension. + // Direct use of these functions is discouraged and may break someday. + "\\xrightleftarrows", "\\xrightequilibrium", "\\xleftequilibrium", // The next 3 functions are here only to support the {CD} environment. + "\\\\cdrightarrow", "\\\\cdleftarrow", "\\\\cdlongequal"], + props: { + numArgs: 1, + numOptionalArgs: 1 + }, + handler: function handler(_ref, args, optArgs) { + var parser = _ref.parser, + funcName = _ref.funcName; + return { + type: "xArrow", + mode: parser.mode, + label: funcName, + body: args[0], + below: optArgs[0] + }; + }, + // Flow is unable to correctly infer the type of `group`, even though it's + // unamibiguously determined from the passed-in `type` above. + htmlBuilder: function htmlBuilder(group, options) { + var style = options.style; // Build the argument groups in the appropriate style. + // Ref: amsmath.dtx: \hbox{$\scriptstyle\mkern#3mu{#6}\mkern#4mu$}% + // Some groups can return document fragments. Handle those by wrapping + // them in a span. + + var newOptions = options.havingStyle(style.sup()); + var upperGroup = buildCommon.wrapFragment(buildGroup(group.body, newOptions, options), options); + var arrowPrefix = group.label.slice(0, 2) === "\\x" ? "x" : "cd"; + upperGroup.classes.push(arrowPrefix + "-arrow-pad"); + var lowerGroup; + + if (group.below) { + // Build the lower group + newOptions = options.havingStyle(style.sub()); + lowerGroup = buildCommon.wrapFragment(buildGroup(group.below, newOptions, options), options); + lowerGroup.classes.push(arrowPrefix + "-arrow-pad"); + } + + var arrowBody = stretchy.svgSpan(group, options); // Re shift: Note that stretchy.svgSpan returned arrowBody.depth = 0. + // The point we want on the math axis is at 0.5 * arrowBody.height. + + var arrowShift = -options.fontMetrics().axisHeight + 0.5 * arrowBody.height; // 2 mu kern. Ref: amsmath.dtx: #7\if0#2\else\mkern#2mu\fi + + var upperShift = -options.fontMetrics().axisHeight - 0.5 * arrowBody.height - 0.111; // 0.111 em = 2 mu + + if (upperGroup.depth > 0.25 || group.label === "\\xleftequilibrium") { + upperShift -= upperGroup.depth; // shift up if depth encroaches + } // Generate the vlist + + + var vlist; + + if (lowerGroup) { + var lowerShift = -options.fontMetrics().axisHeight + lowerGroup.height + 0.5 * arrowBody.height + 0.111; + vlist = buildCommon.makeVList({ + positionType: "individualShift", + children: [{ + type: "elem", + elem: upperGroup, + shift: upperShift + }, { + type: "elem", + elem: arrowBody, + shift: arrowShift + }, { + type: "elem", + elem: lowerGroup, + shift: lowerShift + }] + }, options); + } else { + vlist = buildCommon.makeVList({ + positionType: "individualShift", + children: [{ + type: "elem", + elem: upperGroup, + shift: upperShift + }, { + type: "elem", + elem: arrowBody, + shift: arrowShift + }] + }, options); + } // $FlowFixMe: Replace this with passing "svg-align" into makeVList. + + + vlist.children[0].children[0].children[1].classes.push("svg-align"); + return buildCommon.makeSpan(["mrel", "x-arrow"], [vlist], options); + }, + mathmlBuilder: function mathmlBuilder(group, options) { + var arrowNode = stretchy.mathMLnode(group.label); + arrowNode.setAttribute("minsize", group.label.charAt(0) === "x" ? "1.75em" : "3.0em"); + var node; + + if (group.body) { + var upperNode = paddedNode(buildMathML_buildGroup(group.body, options)); + + if (group.below) { + var lowerNode = paddedNode(buildMathML_buildGroup(group.below, options)); + node = new mathMLTree.MathNode("munderover", [arrowNode, lowerNode, upperNode]); + } else { + node = new mathMLTree.MathNode("mover", [arrowNode, upperNode]); + } + } else if (group.below) { + var _lowerNode = paddedNode(buildMathML_buildGroup(group.below, options)); + + node = new mathMLTree.MathNode("munder", [arrowNode, _lowerNode]); + } else { + // This should never happen. + // Parser.js throws an error if there is no argument. + node = paddedNode(); + node = new mathMLTree.MathNode("mover", [arrowNode, node]); + } + + return node; + } +}); +;// CONCATENATED MODULE: ./src/functions/mclass.js + + + + + + +var mclass_makeSpan = buildCommon.makeSpan; + +function mclass_htmlBuilder(group, options) { + var elements = buildExpression(group.body, options, true); + return mclass_makeSpan([group.mclass], elements, options); +} + +function mclass_mathmlBuilder(group, options) { + var node; + var inner = buildMathML_buildExpression(group.body, options); + + if (group.mclass === "minner") { + node = new mathMLTree.MathNode("mpadded", inner); + } else if (group.mclass === "mord") { + if (group.isCharacterBox) { + node = inner[0]; + node.type = "mi"; + } else { + node = new mathMLTree.MathNode("mi", inner); + } + } else { + if (group.isCharacterBox) { + node = inner[0]; + node.type = "mo"; + } else { + node = new mathMLTree.MathNode("mo", inner); + } // Set spacing based on what is the most likely adjacent atom type. + // See TeXbook p170. + + + if (group.mclass === "mbin") { + node.attributes.lspace = "0.22em"; // medium space + + node.attributes.rspace = "0.22em"; + } else if (group.mclass === "mpunct") { + node.attributes.lspace = "0em"; + node.attributes.rspace = "0.17em"; // thinspace + } else if (group.mclass === "mopen" || group.mclass === "mclose") { + node.attributes.lspace = "0em"; + node.attributes.rspace = "0em"; + } else if (group.mclass === "minner") { + node.attributes.lspace = "0.0556em"; // 1 mu is the most likely option + + node.attributes.width = "+0.1111em"; + } // MathML default space is 5/18 em, so needs no action. + // Ref: https://developer.mozilla.org/en-US/docs/Web/MathML/Element/mo + + } + + return node; +} // Math class commands except \mathop + + +defineFunction({ + type: "mclass", + names: ["\\mathord", "\\mathbin", "\\mathrel", "\\mathopen", "\\mathclose", "\\mathpunct", "\\mathinner"], + props: { + numArgs: 1, + primitive: true + }, + handler: function handler(_ref, args) { + var parser = _ref.parser, + funcName = _ref.funcName; + var body = args[0]; + return { + type: "mclass", + mode: parser.mode, + mclass: "m" + funcName.slice(5), + // TODO(kevinb): don't prefix with 'm' + body: ordargument(body), + isCharacterBox: utils.isCharacterBox(body) + }; + }, + htmlBuilder: mclass_htmlBuilder, + mathmlBuilder: mclass_mathmlBuilder +}); +var binrelClass = function binrelClass(arg) { + // \binrel@ spacing varies with (bin|rel|ord) of the atom in the argument. + // (by rendering separately and with {}s before and after, and measuring + // the change in spacing). We'll do roughly the same by detecting the + // atom type directly. + var atom = arg.type === "ordgroup" && arg.body.length ? arg.body[0] : arg; + + if (atom.type === "atom" && (atom.family === "bin" || atom.family === "rel")) { + return "m" + atom.family; + } else { + return "mord"; + } +}; // \@binrel{x}{y} renders like y but as mbin/mrel/mord if x is mbin/mrel/mord. +// This is equivalent to \binrel@{x}\binrel@@{y} in AMSTeX. + +defineFunction({ + type: "mclass", + names: ["\\@binrel"], + props: { + numArgs: 2 + }, + handler: function handler(_ref2, args) { + var parser = _ref2.parser; + return { + type: "mclass", + mode: parser.mode, + mclass: binrelClass(args[0]), + body: ordargument(args[1]), + isCharacterBox: utils.isCharacterBox(args[1]) + }; + } +}); // Build a relation or stacked op by placing one symbol on top of another + +defineFunction({ + type: "mclass", + names: ["\\stackrel", "\\overset", "\\underset"], + props: { + numArgs: 2 + }, + handler: function handler(_ref3, args) { + var parser = _ref3.parser, + funcName = _ref3.funcName; + var baseArg = args[1]; + var shiftedArg = args[0]; + var mclass; + + if (funcName !== "\\stackrel") { + // LaTeX applies \binrel spacing to \overset and \underset. + mclass = binrelClass(baseArg); + } else { + mclass = "mrel"; // for \stackrel + } + + var baseOp = { + type: "op", + mode: baseArg.mode, + limits: true, + alwaysHandleSupSub: true, + parentIsSupSub: false, + symbol: false, + suppressBaseShift: funcName !== "\\stackrel", + body: ordargument(baseArg) + }; + var supsub = { + type: "supsub", + mode: shiftedArg.mode, + base: baseOp, + sup: funcName === "\\underset" ? null : shiftedArg, + sub: funcName === "\\underset" ? shiftedArg : null + }; + return { + type: "mclass", + mode: parser.mode, + mclass: mclass, + body: [supsub], + isCharacterBox: utils.isCharacterBox(supsub) + }; + }, + htmlBuilder: mclass_htmlBuilder, + mathmlBuilder: mclass_mathmlBuilder +}); +;// CONCATENATED MODULE: ./src/functions/pmb.js + + + + + + +// \pmb is a simulation of bold font. +// The version of \pmb in ambsy.sty works by typesetting three copies +// with small offsets. We use CSS text-shadow. +// It's a hack. Not as good as a real bold font. Better than nothing. +defineFunction({ + type: "pmb", + names: ["\\pmb"], + props: { + numArgs: 1, + allowedInText: true + }, + handler: function handler(_ref, args) { + var parser = _ref.parser; + return { + type: "pmb", + mode: parser.mode, + mclass: binrelClass(args[0]), + body: ordargument(args[0]) + }; + }, + htmlBuilder: function htmlBuilder(group, options) { + var elements = buildExpression(group.body, options, true); + var node = buildCommon.makeSpan([group.mclass], elements, options); + node.style.textShadow = "0.02em 0.01em 0.04px"; + return node; + }, + mathmlBuilder: function mathmlBuilder(group, style) { + var inner = buildMathML_buildExpression(group.body, style); // Wrap with an element. + + var node = new mathMLTree.MathNode("mstyle", inner); + node.setAttribute("style", "text-shadow: 0.02em 0.01em 0.04px"); + return node; + } +}); +;// CONCATENATED MODULE: ./src/environments/cd.js + + + + + + + + +var cdArrowFunctionName = { + ">": "\\\\cdrightarrow", + "<": "\\\\cdleftarrow", + "=": "\\\\cdlongequal", + "A": "\\uparrow", + "V": "\\downarrow", + "|": "\\Vert", + ".": "no arrow" +}; + +var newCell = function newCell() { + // Create an empty cell, to be filled below with parse nodes. + // The parseTree from this module must be constructed like the + // one created by parseArray(), so an empty CD cell must + // be a ParseNode<"styling">. And CD is always displaystyle. + // So these values are fixed and flow can do implicit typing. + return { + type: "styling", + body: [], + mode: "math", + style: "display" + }; +}; + +var isStartOfArrow = function isStartOfArrow(node) { + return node.type === "textord" && node.text === "@"; +}; + +var isLabelEnd = function isLabelEnd(node, endChar) { + return (node.type === "mathord" || node.type === "atom") && node.text === endChar; +}; + +function cdArrow(arrowChar, labels, parser) { + // Return a parse tree of an arrow and its labels. + // This acts in a way similar to a macro expansion. + var funcName = cdArrowFunctionName[arrowChar]; + + switch (funcName) { + case "\\\\cdrightarrow": + case "\\\\cdleftarrow": + return parser.callFunction(funcName, [labels[0]], [labels[1]]); + + case "\\uparrow": + case "\\downarrow": + { + var leftLabel = parser.callFunction("\\\\cdleft", [labels[0]], []); + var bareArrow = { + type: "atom", + text: funcName, + mode: "math", + family: "rel" + }; + var sizedArrow = parser.callFunction("\\Big", [bareArrow], []); + var rightLabel = parser.callFunction("\\\\cdright", [labels[1]], []); + var arrowGroup = { + type: "ordgroup", + mode: "math", + body: [leftLabel, sizedArrow, rightLabel] + }; + return parser.callFunction("\\\\cdparent", [arrowGroup], []); + } + + case "\\\\cdlongequal": + return parser.callFunction("\\\\cdlongequal", [], []); + + case "\\Vert": + { + var arrow = { + type: "textord", + text: "\\Vert", + mode: "math" + }; + return parser.callFunction("\\Big", [arrow], []); + } + + default: + return { + type: "textord", + text: " ", + mode: "math" + }; + } +} + +function parseCD(parser) { + // Get the array's parse nodes with \\ temporarily mapped to \cr. + var parsedRows = []; + parser.gullet.beginGroup(); + parser.gullet.macros.set("\\cr", "\\\\\\relax"); + parser.gullet.beginGroup(); + + while (true) { + // eslint-disable-line no-constant-condition + // Get the parse nodes for the next row. + parsedRows.push(parser.parseExpression(false, "\\\\")); + parser.gullet.endGroup(); + parser.gullet.beginGroup(); + var next = parser.fetch().text; + + if (next === "&" || next === "\\\\") { + parser.consume(); + } else if (next === "\\end") { + if (parsedRows[parsedRows.length - 1].length === 0) { + parsedRows.pop(); // final row ended in \\ + } + + break; + } else { + throw new src_ParseError("Expected \\\\ or \\cr or \\end", parser.nextToken); + } + } + + var row = []; + var body = [row]; // Loop thru the parse nodes. Collect them into cells and arrows. + + for (var i = 0; i < parsedRows.length; i++) { + // Start a new row. + var rowNodes = parsedRows[i]; // Create the first cell. + + var cell = newCell(); + + for (var j = 0; j < rowNodes.length; j++) { + if (!isStartOfArrow(rowNodes[j])) { + // If a parseNode is not an arrow, it goes into a cell. + cell.body.push(rowNodes[j]); + } else { + // Parse node j is an "@", the start of an arrow. + // Before starting on the arrow, push the cell into `row`. + row.push(cell); // Now collect parseNodes into an arrow. + // The character after "@" defines the arrow type. + + j += 1; + var arrowChar = assertSymbolNodeType(rowNodes[j]).text; // Create two empty label nodes. We may or may not use them. + + var labels = new Array(2); + labels[0] = { + type: "ordgroup", + mode: "math", + body: [] + }; + labels[1] = { + type: "ordgroup", + mode: "math", + body: [] + }; // Process the arrow. + + if ("=|.".indexOf(arrowChar) > -1) {// Three "arrows", ``@=`, `@|`, and `@.`, do not take labels. + // Do nothing here. + } else if ("<>AV".indexOf(arrowChar) > -1) { + // Four arrows, `@>>>`, `@<<<`, `@AAA`, and `@VVV`, each take + // two optional labels. E.g. the right-point arrow syntax is + // really: @>{optional label}>{optional label}> + // Collect parseNodes into labels. + for (var labelNum = 0; labelNum < 2; labelNum++) { + var inLabel = true; + + for (var k = j + 1; k < rowNodes.length; k++) { + if (isLabelEnd(rowNodes[k], arrowChar)) { + inLabel = false; + j = k; + break; + } + + if (isStartOfArrow(rowNodes[k])) { + throw new src_ParseError("Missing a " + arrowChar + " character to complete a CD arrow.", rowNodes[k]); + } + + labels[labelNum].body.push(rowNodes[k]); + } + + if (inLabel) { + // isLabelEnd never returned a true. + throw new src_ParseError("Missing a " + arrowChar + " character to complete a CD arrow.", rowNodes[j]); + } + } + } else { + throw new src_ParseError("Expected one of \"<>AV=|.\" after @", rowNodes[j]); + } // Now join the arrow to its labels. + + + var arrow = cdArrow(arrowChar, labels, parser); // Wrap the arrow in ParseNode<"styling">. + // This is done to match parseArray() behavior. + + var wrappedArrow = { + type: "styling", + body: [arrow], + mode: "math", + style: "display" // CD is always displaystyle. + + }; + row.push(wrappedArrow); // In CD's syntax, cells are implicit. That is, everything that + // is not an arrow gets collected into a cell. So create an empty + // cell now. It will collect upcoming parseNodes. + + cell = newCell(); + } + } + + if (i % 2 === 0) { + // Even-numbered rows consist of: cell, arrow, cell, arrow, ... cell + // The last cell is not yet pushed into `row`, so: + row.push(cell); + } else { + // Odd-numbered rows consist of: vert arrow, empty cell, ... vert arrow + // Remove the empty cell that was placed at the beginning of `row`. + row.shift(); + } + + row = []; + body.push(row); + } // End row group + + + parser.gullet.endGroup(); // End array group defining \\ + + parser.gullet.endGroup(); // define column separation. + + var cols = new Array(body[0].length).fill({ + type: "align", + align: "c", + pregap: 0.25, + // CD package sets \enskip between columns. + postgap: 0.25 // So pre and post each get half an \enskip, i.e. 0.25em. + + }); + return { + type: "array", + mode: "math", + body: body, + arraystretch: 1, + addJot: true, + rowGaps: [null], + cols: cols, + colSeparationType: "CD", + hLinesBeforeRow: new Array(body.length + 1).fill([]) + }; +} // The functions below are not available for general use. +// They are here only for internal use by the {CD} environment in placing labels +// next to vertical arrows. +// We don't need any such functions for horizontal arrows because we can reuse +// the functionality that already exists for extensible arrows. + +defineFunction({ + type: "cdlabel", + names: ["\\\\cdleft", "\\\\cdright"], + props: { + numArgs: 1 + }, + handler: function handler(_ref, args) { + var parser = _ref.parser, + funcName = _ref.funcName; + return { + type: "cdlabel", + mode: parser.mode, + side: funcName.slice(4), + label: args[0] + }; + }, + htmlBuilder: function htmlBuilder(group, options) { + var newOptions = options.havingStyle(options.style.sup()); + var label = buildCommon.wrapFragment(buildGroup(group.label, newOptions, options), options); + label.classes.push("cd-label-" + group.side); + label.style.bottom = makeEm(0.8 - label.depth); // Zero out label height & depth, so vertical align of arrow is set + // by the arrow height, not by the label. + + label.height = 0; + label.depth = 0; + return label; + }, + mathmlBuilder: function mathmlBuilder(group, options) { + var label = new mathMLTree.MathNode("mrow", [buildMathML_buildGroup(group.label, options)]); + label = new mathMLTree.MathNode("mpadded", [label]); + label.setAttribute("width", "0"); + + if (group.side === "left") { + label.setAttribute("lspace", "-1width"); + } // We have to guess at vertical alignment. We know the arrow is 1.8em tall, + // But we don't know the height or depth of the label. + + + label.setAttribute("voffset", "0.7em"); + label = new mathMLTree.MathNode("mstyle", [label]); + label.setAttribute("displaystyle", "false"); + label.setAttribute("scriptlevel", "1"); + return label; + } +}); +defineFunction({ + type: "cdlabelparent", + names: ["\\\\cdparent"], + props: { + numArgs: 1 + }, + handler: function handler(_ref2, args) { + var parser = _ref2.parser; + return { + type: "cdlabelparent", + mode: parser.mode, + fragment: args[0] + }; + }, + htmlBuilder: function htmlBuilder(group, options) { + // Wrap the vertical arrow and its labels. + // The parent gets position: relative. The child gets position: absolute. + // So CSS can locate the label correctly. + var parent = buildCommon.wrapFragment(buildGroup(group.fragment, options), options); + parent.classes.push("cd-vert-arrow"); + return parent; + }, + mathmlBuilder: function mathmlBuilder(group, options) { + return new mathMLTree.MathNode("mrow", [buildMathML_buildGroup(group.fragment, options)]); + } +}); +;// CONCATENATED MODULE: ./src/functions/char.js + + + // \@char is an internal function that takes a grouped decimal argument like +// {123} and converts into symbol with code 123. It is used by the *macro* +// \char defined in macros.js. + +defineFunction({ + type: "textord", + names: ["\\@char"], + props: { + numArgs: 1, + allowedInText: true + }, + handler: function handler(_ref, args) { + var parser = _ref.parser; + var arg = assertNodeType(args[0], "ordgroup"); + var group = arg.body; + var number = ""; + + for (var i = 0; i < group.length; i++) { + var node = assertNodeType(group[i], "textord"); + number += node.text; + } + + var code = parseInt(number); + var text; + + if (isNaN(code)) { + throw new src_ParseError("\\@char has non-numeric argument " + number); // If we drop IE support, the following code could be replaced with + // text = String.fromCodePoint(code) + } else if (code < 0 || code >= 0x10ffff) { + throw new src_ParseError("\\@char with invalid code point " + number); + } else if (code <= 0xffff) { + text = String.fromCharCode(code); + } else { + // Astral code point; split into surrogate halves + code -= 0x10000; + text = String.fromCharCode((code >> 10) + 0xd800, (code & 0x3ff) + 0xdc00); + } + + return { + type: "textord", + mode: parser.mode, + text: text + }; + } +}); +;// CONCATENATED MODULE: ./src/functions/color.js + + + + + + + +var color_htmlBuilder = function htmlBuilder(group, options) { + var elements = buildExpression(group.body, options.withColor(group.color), false); // \color isn't supposed to affect the type of the elements it contains. + // To accomplish this, we wrap the results in a fragment, so the inner + // elements will be able to directly interact with their neighbors. For + // example, `\color{red}{2 +} 3` has the same spacing as `2 + 3` + + return buildCommon.makeFragment(elements); +}; + +var color_mathmlBuilder = function mathmlBuilder(group, options) { + var inner = buildMathML_buildExpression(group.body, options.withColor(group.color)); + var node = new mathMLTree.MathNode("mstyle", inner); + node.setAttribute("mathcolor", group.color); + return node; +}; + +defineFunction({ + type: "color", + names: ["\\textcolor"], + props: { + numArgs: 2, + allowedInText: true, + argTypes: ["color", "original"] + }, + handler: function handler(_ref, args) { + var parser = _ref.parser; + var color = assertNodeType(args[0], "color-token").color; + var body = args[1]; + return { + type: "color", + mode: parser.mode, + color: color, + body: ordargument(body) + }; + }, + htmlBuilder: color_htmlBuilder, + mathmlBuilder: color_mathmlBuilder +}); +defineFunction({ + type: "color", + names: ["\\color"], + props: { + numArgs: 1, + allowedInText: true, + argTypes: ["color"] + }, + handler: function handler(_ref2, args) { + var parser = _ref2.parser, + breakOnTokenText = _ref2.breakOnTokenText; + var color = assertNodeType(args[0], "color-token").color; // Set macro \current@color in current namespace to store the current + // color, mimicking the behavior of color.sty. + // This is currently used just to correctly color a \right + // that follows a \color command. + + parser.gullet.macros.set("\\current@color", color); // Parse out the implicit body that should be colored. + + var body = parser.parseExpression(true, breakOnTokenText); + return { + type: "color", + mode: parser.mode, + color: color, + body: body + }; + }, + htmlBuilder: color_htmlBuilder, + mathmlBuilder: color_mathmlBuilder +}); +;// CONCATENATED MODULE: ./src/functions/cr.js +// Row breaks within tabular environments, and line breaks at top level + + + + + // \DeclareRobustCommand\\{...\@xnewline} + +defineFunction({ + type: "cr", + names: ["\\\\"], + props: { + numArgs: 0, + numOptionalArgs: 0, + allowedInText: true + }, + handler: function handler(_ref, args, optArgs) { + var parser = _ref.parser; + var size = parser.gullet.future().text === "[" ? parser.parseSizeGroup(true) : null; + var newLine = !parser.settings.displayMode || !parser.settings.useStrictBehavior("newLineInDisplayMode", "In LaTeX, \\\\ or \\newline " + "does nothing in display mode"); + return { + type: "cr", + mode: parser.mode, + newLine: newLine, + size: size && assertNodeType(size, "size").value + }; + }, + // The following builders are called only at the top level, + // not within tabular/array environments. + htmlBuilder: function htmlBuilder(group, options) { + var span = buildCommon.makeSpan(["mspace"], [], options); + + if (group.newLine) { + span.classes.push("newline"); + + if (group.size) { + span.style.marginTop = makeEm(calculateSize(group.size, options)); + } + } + + return span; + }, + mathmlBuilder: function mathmlBuilder(group, options) { + var node = new mathMLTree.MathNode("mspace"); + + if (group.newLine) { + node.setAttribute("linebreak", "newline"); + + if (group.size) { + node.setAttribute("height", makeEm(calculateSize(group.size, options))); + } + } + + return node; + } +}); +;// CONCATENATED MODULE: ./src/functions/def.js + + + +var globalMap = { + "\\global": "\\global", + "\\long": "\\\\globallong", + "\\\\globallong": "\\\\globallong", + "\\def": "\\gdef", + "\\gdef": "\\gdef", + "\\edef": "\\xdef", + "\\xdef": "\\xdef", + "\\let": "\\\\globallet", + "\\futurelet": "\\\\globalfuture" +}; + +var checkControlSequence = function checkControlSequence(tok) { + var name = tok.text; + + if (/^(?:[\\{}$&#^_]|EOF)$/.test(name)) { + throw new src_ParseError("Expected a control sequence", tok); + } + + return name; +}; + +var getRHS = function getRHS(parser) { + var tok = parser.gullet.popToken(); + + if (tok.text === "=") { + // consume optional equals + tok = parser.gullet.popToken(); + + if (tok.text === " ") { + // consume one optional space + tok = parser.gullet.popToken(); + } + } + + return tok; +}; + +var letCommand = function letCommand(parser, name, tok, global) { + var macro = parser.gullet.macros.get(tok.text); + + if (macro == null) { + // don't expand it later even if a macro with the same name is defined + // e.g., \let\foo=\frac \def\frac{\relax} \frac12 + tok.noexpand = true; + macro = { + tokens: [tok], + numArgs: 0, + // reproduce the same behavior in expansion + unexpandable: !parser.gullet.isExpandable(tok.text) + }; + } + + parser.gullet.macros.set(name, macro, global); +}; // -> | +// -> |\global +// -> | +// -> \global|\long|\outer + + +defineFunction({ + type: "internal", + names: ["\\global", "\\long", "\\\\globallong" // can’t be entered directly + ], + props: { + numArgs: 0, + allowedInText: true + }, + handler: function handler(_ref) { + var parser = _ref.parser, + funcName = _ref.funcName; + parser.consumeSpaces(); + var token = parser.fetch(); + + if (globalMap[token.text]) { + // KaTeX doesn't have \par, so ignore \long + if (funcName === "\\global" || funcName === "\\\\globallong") { + token.text = globalMap[token.text]; + } + + return assertNodeType(parser.parseFunction(), "internal"); + } + + throw new src_ParseError("Invalid token after macro prefix", token); + } +}); // Basic support for macro definitions: \def, \gdef, \edef, \xdef +// -> +// -> \def|\gdef|\edef|\xdef +// -> + +defineFunction({ + type: "internal", + names: ["\\def", "\\gdef", "\\edef", "\\xdef"], + props: { + numArgs: 0, + allowedInText: true, + primitive: true + }, + handler: function handler(_ref2) { + var parser = _ref2.parser, + funcName = _ref2.funcName; + var tok = parser.gullet.popToken(); + var name = tok.text; + + if (/^(?:[\\{}$&#^_]|EOF)$/.test(name)) { + throw new src_ParseError("Expected a control sequence", tok); + } + + var numArgs = 0; + var insert; + var delimiters = [[]]; // contains no braces + + while (parser.gullet.future().text !== "{") { + tok = parser.gullet.popToken(); + + if (tok.text === "#") { + // If the very last character of the is #, so that + // this # is immediately followed by {, TeX will behave as if the { + // had been inserted at the right end of both the parameter text + // and the replacement text. + if (parser.gullet.future().text === "{") { + insert = parser.gullet.future(); + delimiters[numArgs].push("{"); + break; + } // A parameter, the first appearance of # must be followed by 1, + // the next by 2, and so on; up to nine #’s are allowed + + + tok = parser.gullet.popToken(); + + if (!/^[1-9]$/.test(tok.text)) { + throw new src_ParseError("Invalid argument number \"" + tok.text + "\""); + } + + if (parseInt(tok.text) !== numArgs + 1) { + throw new src_ParseError("Argument number \"" + tok.text + "\" out of order"); + } + + numArgs++; + delimiters.push([]); + } else if (tok.text === "EOF") { + throw new src_ParseError("Expected a macro definition"); + } else { + delimiters[numArgs].push(tok.text); + } + } // replacement text, enclosed in '{' and '}' and properly nested + + + var _parser$gullet$consum = parser.gullet.consumeArg(), + tokens = _parser$gullet$consum.tokens; + + if (insert) { + tokens.unshift(insert); + } + + if (funcName === "\\edef" || funcName === "\\xdef") { + tokens = parser.gullet.expandTokens(tokens); + tokens.reverse(); // to fit in with stack order + } // Final arg is the expansion of the macro + + + parser.gullet.macros.set(name, { + tokens: tokens, + numArgs: numArgs, + delimiters: delimiters + }, funcName === globalMap[funcName]); + return { + type: "internal", + mode: parser.mode + }; + } +}); // -> +// -> \futurelet +// | \let +// -> |= + +defineFunction({ + type: "internal", + names: ["\\let", "\\\\globallet" // can’t be entered directly + ], + props: { + numArgs: 0, + allowedInText: true, + primitive: true + }, + handler: function handler(_ref3) { + var parser = _ref3.parser, + funcName = _ref3.funcName; + var name = checkControlSequence(parser.gullet.popToken()); + parser.gullet.consumeSpaces(); + var tok = getRHS(parser); + letCommand(parser, name, tok, funcName === "\\\\globallet"); + return { + type: "internal", + mode: parser.mode + }; + } +}); // ref: https://www.tug.org/TUGboat/tb09-3/tb22bechtolsheim.pdf + +defineFunction({ + type: "internal", + names: ["\\futurelet", "\\\\globalfuture" // can’t be entered directly + ], + props: { + numArgs: 0, + allowedInText: true, + primitive: true + }, + handler: function handler(_ref4) { + var parser = _ref4.parser, + funcName = _ref4.funcName; + var name = checkControlSequence(parser.gullet.popToken()); + var middle = parser.gullet.popToken(); + var tok = parser.gullet.popToken(); + letCommand(parser, name, tok, funcName === "\\\\globalfuture"); + parser.gullet.pushToken(tok); + parser.gullet.pushToken(middle); + return { + type: "internal", + mode: parser.mode + }; + } +}); +;// CONCATENATED MODULE: ./src/delimiter.js +/** + * This file deals with creating delimiters of various sizes. The TeXbook + * discusses these routines on page 441-442, in the "Another subroutine sets box + * x to a specified variable delimiter" paragraph. + * + * There are three main routines here. `makeSmallDelim` makes a delimiter in the + * normal font, but in either text, script, or scriptscript style. + * `makeLargeDelim` makes a delimiter in textstyle, but in one of the Size1, + * Size2, Size3, or Size4 fonts. `makeStackedDelim` makes a delimiter out of + * smaller pieces that are stacked on top of one another. + * + * The functions take a parameter `center`, which determines if the delimiter + * should be centered around the axis. + * + * Then, there are three exposed functions. `sizedDelim` makes a delimiter in + * one of the given sizes. This is used for things like `\bigl`. + * `customSizedDelim` makes a delimiter with a given total height+depth. It is + * called in places like `\sqrt`. `leftRightDelim` makes an appropriate + * delimiter which surrounds an expression of a given height an depth. It is + * used in `\left` and `\right`. + */ + + + + + + + + + + + +/** + * Get the metrics for a given symbol and font, after transformation (i.e. + * after following replacement from symbols.js) + */ +var getMetrics = function getMetrics(symbol, font, mode) { + var replace = src_symbols.math[symbol] && src_symbols.math[symbol].replace; + var metrics = getCharacterMetrics(replace || symbol, font, mode); + + if (!metrics) { + throw new Error("Unsupported symbol " + symbol + " and font size " + font + "."); + } + + return metrics; +}; +/** + * Puts a delimiter span in a given style, and adds appropriate height, depth, + * and maxFontSizes. + */ + + +var styleWrap = function styleWrap(delim, toStyle, options, classes) { + var newOptions = options.havingBaseStyle(toStyle); + var span = buildCommon.makeSpan(classes.concat(newOptions.sizingClasses(options)), [delim], options); + var delimSizeMultiplier = newOptions.sizeMultiplier / options.sizeMultiplier; + span.height *= delimSizeMultiplier; + span.depth *= delimSizeMultiplier; + span.maxFontSize = newOptions.sizeMultiplier; + return span; +}; + +var centerSpan = function centerSpan(span, options, style) { + var newOptions = options.havingBaseStyle(style); + var shift = (1 - options.sizeMultiplier / newOptions.sizeMultiplier) * options.fontMetrics().axisHeight; + span.classes.push("delimcenter"); + span.style.top = makeEm(shift); + span.height -= shift; + span.depth += shift; +}; +/** + * Makes a small delimiter. This is a delimiter that comes in the Main-Regular + * font, but is restyled to either be in textstyle, scriptstyle, or + * scriptscriptstyle. + */ + + +var makeSmallDelim = function makeSmallDelim(delim, style, center, options, mode, classes) { + var text = buildCommon.makeSymbol(delim, "Main-Regular", mode, options); + var span = styleWrap(text, style, options, classes); + + if (center) { + centerSpan(span, options, style); + } + + return span; +}; +/** + * Builds a symbol in the given font size (note size is an integer) + */ + + +var mathrmSize = function mathrmSize(value, size, mode, options) { + return buildCommon.makeSymbol(value, "Size" + size + "-Regular", mode, options); +}; +/** + * Makes a large delimiter. This is a delimiter that comes in the Size1, Size2, + * Size3, or Size4 fonts. It is always rendered in textstyle. + */ + + +var makeLargeDelim = function makeLargeDelim(delim, size, center, options, mode, classes) { + var inner = mathrmSize(delim, size, mode, options); + var span = styleWrap(buildCommon.makeSpan(["delimsizing", "size" + size], [inner], options), src_Style.TEXT, options, classes); + + if (center) { + centerSpan(span, options, src_Style.TEXT); + } + + return span; +}; +/** + * Make a span from a font glyph with the given offset and in the given font. + * This is used in makeStackedDelim to make the stacking pieces for the delimiter. + */ + + +var makeGlyphSpan = function makeGlyphSpan(symbol, font, mode) { + var sizeClass; // Apply the correct CSS class to choose the right font. + + if (font === "Size1-Regular") { + sizeClass = "delim-size1"; + } else + /* if (font === "Size4-Regular") */ + { + sizeClass = "delim-size4"; + } + + var corner = buildCommon.makeSpan(["delimsizinginner", sizeClass], [buildCommon.makeSpan([], [buildCommon.makeSymbol(symbol, font, mode)])]); // Since this will be passed into `makeVList` in the end, wrap the element + // in the appropriate tag that VList uses. + + return { + type: "elem", + elem: corner + }; +}; + +var makeInner = function makeInner(ch, height, options) { + // Create a span with inline SVG for the inner part of a tall stacked delimiter. + var width = fontMetricsData["Size4-Regular"][ch.charCodeAt(0)] ? fontMetricsData["Size4-Regular"][ch.charCodeAt(0)][4] : fontMetricsData["Size1-Regular"][ch.charCodeAt(0)][4]; + var path = new PathNode("inner", innerPath(ch, Math.round(1000 * height))); + var svgNode = new SvgNode([path], { + "width": makeEm(width), + "height": makeEm(height), + // Override CSS rule `.katex svg { width: 100% }` + "style": "width:" + makeEm(width), + "viewBox": "0 0 " + 1000 * width + " " + Math.round(1000 * height), + "preserveAspectRatio": "xMinYMin" + }); + var span = buildCommon.makeSvgSpan([], [svgNode], options); + span.height = height; + span.style.height = makeEm(height); + span.style.width = makeEm(width); + return { + type: "elem", + elem: span + }; +}; // Helpers for makeStackedDelim + + +var lapInEms = 0.008; +var lap = { + type: "kern", + size: -1 * lapInEms +}; +var verts = ["|", "\\lvert", "\\rvert", "\\vert"]; +var doubleVerts = ["\\|", "\\lVert", "\\rVert", "\\Vert"]; +/** + * Make a stacked delimiter out of a given delimiter, with the total height at + * least `heightTotal`. This routine is mentioned on page 442 of the TeXbook. + */ + +var makeStackedDelim = function makeStackedDelim(delim, heightTotal, center, options, mode, classes) { + // There are four parts, the top, an optional middle, a repeated part, and a + // bottom. + var top; + var middle; + var repeat; + var bottom; + var svgLabel = ""; + var viewBoxWidth = 0; + top = repeat = bottom = delim; + middle = null; // Also keep track of what font the delimiters are in + + var font = "Size1-Regular"; // We set the parts and font based on the symbol. Note that we use + // '\u23d0' instead of '|' and '\u2016' instead of '\\|' for the + // repeats of the arrows + + if (delim === "\\uparrow") { + repeat = bottom = "\u23D0"; + } else if (delim === "\\Uparrow") { + repeat = bottom = "\u2016"; + } else if (delim === "\\downarrow") { + top = repeat = "\u23D0"; + } else if (delim === "\\Downarrow") { + top = repeat = "\u2016"; + } else if (delim === "\\updownarrow") { + top = "\\uparrow"; + repeat = "\u23D0"; + bottom = "\\downarrow"; + } else if (delim === "\\Updownarrow") { + top = "\\Uparrow"; + repeat = "\u2016"; + bottom = "\\Downarrow"; + } else if (utils.contains(verts, delim)) { + repeat = "\u2223"; + svgLabel = "vert"; + viewBoxWidth = 333; + } else if (utils.contains(doubleVerts, delim)) { + repeat = "\u2225"; + svgLabel = "doublevert"; + viewBoxWidth = 556; + } else if (delim === "[" || delim === "\\lbrack") { + top = "\u23A1"; + repeat = "\u23A2"; + bottom = "\u23A3"; + font = "Size4-Regular"; + svgLabel = "lbrack"; + viewBoxWidth = 667; + } else if (delim === "]" || delim === "\\rbrack") { + top = "\u23A4"; + repeat = "\u23A5"; + bottom = "\u23A6"; + font = "Size4-Regular"; + svgLabel = "rbrack"; + viewBoxWidth = 667; + } else if (delim === "\\lfloor" || delim === "\u230A") { + repeat = top = "\u23A2"; + bottom = "\u23A3"; + font = "Size4-Regular"; + svgLabel = "lfloor"; + viewBoxWidth = 667; + } else if (delim === "\\lceil" || delim === "\u2308") { + top = "\u23A1"; + repeat = bottom = "\u23A2"; + font = "Size4-Regular"; + svgLabel = "lceil"; + viewBoxWidth = 667; + } else if (delim === "\\rfloor" || delim === "\u230B") { + repeat = top = "\u23A5"; + bottom = "\u23A6"; + font = "Size4-Regular"; + svgLabel = "rfloor"; + viewBoxWidth = 667; + } else if (delim === "\\rceil" || delim === "\u2309") { + top = "\u23A4"; + repeat = bottom = "\u23A5"; + font = "Size4-Regular"; + svgLabel = "rceil"; + viewBoxWidth = 667; + } else if (delim === "(" || delim === "\\lparen") { + top = "\u239B"; + repeat = "\u239C"; + bottom = "\u239D"; + font = "Size4-Regular"; + svgLabel = "lparen"; + viewBoxWidth = 875; + } else if (delim === ")" || delim === "\\rparen") { + top = "\u239E"; + repeat = "\u239F"; + bottom = "\u23A0"; + font = "Size4-Regular"; + svgLabel = "rparen"; + viewBoxWidth = 875; + } else if (delim === "\\{" || delim === "\\lbrace") { + top = "\u23A7"; + middle = "\u23A8"; + bottom = "\u23A9"; + repeat = "\u23AA"; + font = "Size4-Regular"; + } else if (delim === "\\}" || delim === "\\rbrace") { + top = "\u23AB"; + middle = "\u23AC"; + bottom = "\u23AD"; + repeat = "\u23AA"; + font = "Size4-Regular"; + } else if (delim === "\\lgroup" || delim === "\u27EE") { + top = "\u23A7"; + bottom = "\u23A9"; + repeat = "\u23AA"; + font = "Size4-Regular"; + } else if (delim === "\\rgroup" || delim === "\u27EF") { + top = "\u23AB"; + bottom = "\u23AD"; + repeat = "\u23AA"; + font = "Size4-Regular"; + } else if (delim === "\\lmoustache" || delim === "\u23B0") { + top = "\u23A7"; + bottom = "\u23AD"; + repeat = "\u23AA"; + font = "Size4-Regular"; + } else if (delim === "\\rmoustache" || delim === "\u23B1") { + top = "\u23AB"; + bottom = "\u23A9"; + repeat = "\u23AA"; + font = "Size4-Regular"; + } // Get the metrics of the four sections + + + var topMetrics = getMetrics(top, font, mode); + var topHeightTotal = topMetrics.height + topMetrics.depth; + var repeatMetrics = getMetrics(repeat, font, mode); + var repeatHeightTotal = repeatMetrics.height + repeatMetrics.depth; + var bottomMetrics = getMetrics(bottom, font, mode); + var bottomHeightTotal = bottomMetrics.height + bottomMetrics.depth; + var middleHeightTotal = 0; + var middleFactor = 1; + + if (middle !== null) { + var middleMetrics = getMetrics(middle, font, mode); + middleHeightTotal = middleMetrics.height + middleMetrics.depth; + middleFactor = 2; // repeat symmetrically above and below middle + } // Calcuate the minimal height that the delimiter can have. + // It is at least the size of the top, bottom, and optional middle combined. + + + var minHeight = topHeightTotal + bottomHeightTotal + middleHeightTotal; // Compute the number of copies of the repeat symbol we will need + + var repeatCount = Math.max(0, Math.ceil((heightTotal - minHeight) / (middleFactor * repeatHeightTotal))); // Compute the total height of the delimiter including all the symbols + + var realHeightTotal = minHeight + repeatCount * middleFactor * repeatHeightTotal; // The center of the delimiter is placed at the center of the axis. Note + // that in this context, "center" means that the delimiter should be + // centered around the axis in the current style, while normally it is + // centered around the axis in textstyle. + + var axisHeight = options.fontMetrics().axisHeight; + + if (center) { + axisHeight *= options.sizeMultiplier; + } // Calculate the depth + + + var depth = realHeightTotal / 2 - axisHeight; // Now, we start building the pieces that will go into the vlist + // Keep a list of the pieces of the stacked delimiter + + var stack = []; + + if (svgLabel.length > 0) { + // Instead of stacking glyphs, create a single SVG. + // This evades browser problems with imprecise positioning of spans. + var midHeight = realHeightTotal - topHeightTotal - bottomHeightTotal; + var viewBoxHeight = Math.round(realHeightTotal * 1000); + var pathStr = tallDelim(svgLabel, Math.round(midHeight * 1000)); + var path = new PathNode(svgLabel, pathStr); + var width = (viewBoxWidth / 1000).toFixed(3) + "em"; + var height = (viewBoxHeight / 1000).toFixed(3) + "em"; + var svg = new SvgNode([path], { + "width": width, + "height": height, + "viewBox": "0 0 " + viewBoxWidth + " " + viewBoxHeight + }); + var wrapper = buildCommon.makeSvgSpan([], [svg], options); + wrapper.height = viewBoxHeight / 1000; + wrapper.style.width = width; + wrapper.style.height = height; + stack.push({ + type: "elem", + elem: wrapper + }); + } else { + // Stack glyphs + // Start by adding the bottom symbol + stack.push(makeGlyphSpan(bottom, font, mode)); + stack.push(lap); // overlap + + if (middle === null) { + // The middle section will be an SVG. Make it an extra 0.016em tall. + // We'll overlap by 0.008em at top and bottom. + var innerHeight = realHeightTotal - topHeightTotal - bottomHeightTotal + 2 * lapInEms; + stack.push(makeInner(repeat, innerHeight, options)); + } else { + // When there is a middle bit, we need the middle part and two repeated + // sections + var _innerHeight = (realHeightTotal - topHeightTotal - bottomHeightTotal - middleHeightTotal) / 2 + 2 * lapInEms; + + stack.push(makeInner(repeat, _innerHeight, options)); // Now insert the middle of the brace. + + stack.push(lap); + stack.push(makeGlyphSpan(middle, font, mode)); + stack.push(lap); + stack.push(makeInner(repeat, _innerHeight, options)); + } // Add the top symbol + + + stack.push(lap); + stack.push(makeGlyphSpan(top, font, mode)); + } // Finally, build the vlist + + + var newOptions = options.havingBaseStyle(src_Style.TEXT); + var inner = buildCommon.makeVList({ + positionType: "bottom", + positionData: depth, + children: stack + }, newOptions); + return styleWrap(buildCommon.makeSpan(["delimsizing", "mult"], [inner], newOptions), src_Style.TEXT, options, classes); +}; // All surds have 0.08em padding above the viniculum inside the SVG. +// That keeps browser span height rounding error from pinching the line. + + +var vbPad = 80; // padding above the surd, measured inside the viewBox. + +var emPad = 0.08; // padding, in ems, measured in the document. + +var sqrtSvg = function sqrtSvg(sqrtName, height, viewBoxHeight, extraViniculum, options) { + var path = sqrtPath(sqrtName, extraViniculum, viewBoxHeight); + var pathNode = new PathNode(sqrtName, path); + var svg = new SvgNode([pathNode], { + // Note: 1000:1 ratio of viewBox to document em width. + "width": "400em", + "height": makeEm(height), + "viewBox": "0 0 400000 " + viewBoxHeight, + "preserveAspectRatio": "xMinYMin slice" + }); + return buildCommon.makeSvgSpan(["hide-tail"], [svg], options); +}; +/** + * Make a sqrt image of the given height, + */ + + +var makeSqrtImage = function makeSqrtImage(height, options) { + // Define a newOptions that removes the effect of size changes such as \Huge. + // We don't pick different a height surd for \Huge. For it, we scale up. + var newOptions = options.havingBaseSizing(); // Pick the desired surd glyph from a sequence of surds. + + var delim = traverseSequence("\\surd", height * newOptions.sizeMultiplier, stackLargeDelimiterSequence, newOptions); + var sizeMultiplier = newOptions.sizeMultiplier; // default + // The standard sqrt SVGs each have a 0.04em thick viniculum. + // If Settings.minRuleThickness is larger than that, we add extraViniculum. + + var extraViniculum = Math.max(0, options.minRuleThickness - options.fontMetrics().sqrtRuleThickness); // Create a span containing an SVG image of a sqrt symbol. + + var span; + var spanHeight = 0; + var texHeight = 0; + var viewBoxHeight = 0; + var advanceWidth; // We create viewBoxes with 80 units of "padding" above each surd. + // Then browser rounding error on the parent span height will not + // encroach on the ink of the viniculum. But that padding is not + // included in the TeX-like `height` used for calculation of + // vertical alignment. So texHeight = span.height < span.style.height. + + if (delim.type === "small") { + // Get an SVG that is derived from glyph U+221A in font KaTeX-Main. + // 1000 unit normal glyph height. + viewBoxHeight = 1000 + 1000 * extraViniculum + vbPad; + + if (height < 1.0) { + sizeMultiplier = 1.0; // mimic a \textfont radical + } else if (height < 1.4) { + sizeMultiplier = 0.7; // mimic a \scriptfont radical + } + + spanHeight = (1.0 + extraViniculum + emPad) / sizeMultiplier; + texHeight = (1.00 + extraViniculum) / sizeMultiplier; + span = sqrtSvg("sqrtMain", spanHeight, viewBoxHeight, extraViniculum, options); + span.style.minWidth = "0.853em"; + advanceWidth = 0.833 / sizeMultiplier; // from the font. + } else if (delim.type === "large") { + // These SVGs come from fonts: KaTeX_Size1, _Size2, etc. + viewBoxHeight = (1000 + vbPad) * sizeToMaxHeight[delim.size]; + texHeight = (sizeToMaxHeight[delim.size] + extraViniculum) / sizeMultiplier; + spanHeight = (sizeToMaxHeight[delim.size] + extraViniculum + emPad) / sizeMultiplier; + span = sqrtSvg("sqrtSize" + delim.size, spanHeight, viewBoxHeight, extraViniculum, options); + span.style.minWidth = "1.02em"; + advanceWidth = 1.0 / sizeMultiplier; // 1.0 from the font. + } else { + // Tall sqrt. In TeX, this would be stacked using multiple glyphs. + // We'll use a single SVG to accomplish the same thing. + spanHeight = height + extraViniculum + emPad; + texHeight = height + extraViniculum; + viewBoxHeight = Math.floor(1000 * height + extraViniculum) + vbPad; + span = sqrtSvg("sqrtTall", spanHeight, viewBoxHeight, extraViniculum, options); + span.style.minWidth = "0.742em"; + advanceWidth = 1.056; + } + + span.height = texHeight; + span.style.height = makeEm(spanHeight); + return { + span: span, + advanceWidth: advanceWidth, + // Calculate the actual line width. + // This actually should depend on the chosen font -- e.g. \boldmath + // should use the thicker surd symbols from e.g. KaTeX_Main-Bold, and + // have thicker rules. + ruleWidth: (options.fontMetrics().sqrtRuleThickness + extraViniculum) * sizeMultiplier + }; +}; // There are three kinds of delimiters, delimiters that stack when they become +// too large + + +var stackLargeDelimiters = ["(", "\\lparen", ")", "\\rparen", "[", "\\lbrack", "]", "\\rbrack", "\\{", "\\lbrace", "\\}", "\\rbrace", "\\lfloor", "\\rfloor", "\u230A", "\u230B", "\\lceil", "\\rceil", "\u2308", "\u2309", "\\surd"]; // delimiters that always stack + +var stackAlwaysDelimiters = ["\\uparrow", "\\downarrow", "\\updownarrow", "\\Uparrow", "\\Downarrow", "\\Updownarrow", "|", "\\|", "\\vert", "\\Vert", "\\lvert", "\\rvert", "\\lVert", "\\rVert", "\\lgroup", "\\rgroup", "\u27EE", "\u27EF", "\\lmoustache", "\\rmoustache", "\u23B0", "\u23B1"]; // and delimiters that never stack + +var stackNeverDelimiters = ["<", ">", "\\langle", "\\rangle", "/", "\\backslash", "\\lt", "\\gt"]; // Metrics of the different sizes. Found by looking at TeX's output of +// $\bigl| // \Bigl| \biggl| \Biggl| \showlists$ +// Used to create stacked delimiters of appropriate sizes in makeSizedDelim. + +var sizeToMaxHeight = [0, 1.2, 1.8, 2.4, 3.0]; +/** + * Used to create a delimiter of a specific size, where `size` is 1, 2, 3, or 4. + */ + +var makeSizedDelim = function makeSizedDelim(delim, size, options, mode, classes) { + // < and > turn into \langle and \rangle in delimiters + if (delim === "<" || delim === "\\lt" || delim === "\u27E8") { + delim = "\\langle"; + } else if (delim === ">" || delim === "\\gt" || delim === "\u27E9") { + delim = "\\rangle"; + } // Sized delimiters are never centered. + + + if (utils.contains(stackLargeDelimiters, delim) || utils.contains(stackNeverDelimiters, delim)) { + return makeLargeDelim(delim, size, false, options, mode, classes); + } else if (utils.contains(stackAlwaysDelimiters, delim)) { + return makeStackedDelim(delim, sizeToMaxHeight[size], false, options, mode, classes); + } else { + throw new src_ParseError("Illegal delimiter: '" + delim + "'"); + } +}; +/** + * There are three different sequences of delimiter sizes that the delimiters + * follow depending on the kind of delimiter. This is used when creating custom + * sized delimiters to decide whether to create a small, large, or stacked + * delimiter. + * + * In real TeX, these sequences aren't explicitly defined, but are instead + * defined inside the font metrics. Since there are only three sequences that + * are possible for the delimiters that TeX defines, it is easier to just encode + * them explicitly here. + */ + + +// Delimiters that never stack try small delimiters and large delimiters only +var stackNeverDelimiterSequence = [{ + type: "small", + style: src_Style.SCRIPTSCRIPT +}, { + type: "small", + style: src_Style.SCRIPT +}, { + type: "small", + style: src_Style.TEXT +}, { + type: "large", + size: 1 +}, { + type: "large", + size: 2 +}, { + type: "large", + size: 3 +}, { + type: "large", + size: 4 +}]; // Delimiters that always stack try the small delimiters first, then stack + +var stackAlwaysDelimiterSequence = [{ + type: "small", + style: src_Style.SCRIPTSCRIPT +}, { + type: "small", + style: src_Style.SCRIPT +}, { + type: "small", + style: src_Style.TEXT +}, { + type: "stack" +}]; // Delimiters that stack when large try the small and then large delimiters, and +// stack afterwards + +var stackLargeDelimiterSequence = [{ + type: "small", + style: src_Style.SCRIPTSCRIPT +}, { + type: "small", + style: src_Style.SCRIPT +}, { + type: "small", + style: src_Style.TEXT +}, { + type: "large", + size: 1 +}, { + type: "large", + size: 2 +}, { + type: "large", + size: 3 +}, { + type: "large", + size: 4 +}, { + type: "stack" +}]; +/** + * Get the font used in a delimiter based on what kind of delimiter it is. + * TODO(#963) Use more specific font family return type once that is introduced. + */ + +var delimTypeToFont = function delimTypeToFont(type) { + if (type.type === "small") { + return "Main-Regular"; + } else if (type.type === "large") { + return "Size" + type.size + "-Regular"; + } else if (type.type === "stack") { + return "Size4-Regular"; + } else { + throw new Error("Add support for delim type '" + type.type + "' here."); + } +}; +/** + * Traverse a sequence of types of delimiters to decide what kind of delimiter + * should be used to create a delimiter of the given height+depth. + */ + + +var traverseSequence = function traverseSequence(delim, height, sequence, options) { + // Here, we choose the index we should start at in the sequences. In smaller + // sizes (which correspond to larger numbers in style.size) we start earlier + // in the sequence. Thus, scriptscript starts at index 3-3=0, script starts + // at index 3-2=1, text starts at 3-1=2, and display starts at min(2,3-0)=2 + var start = Math.min(2, 3 - options.style.size); + + for (var i = start; i < sequence.length; i++) { + if (sequence[i].type === "stack") { + // This is always the last delimiter, so we just break the loop now. + break; + } + + var metrics = getMetrics(delim, delimTypeToFont(sequence[i]), "math"); + var heightDepth = metrics.height + metrics.depth; // Small delimiters are scaled down versions of the same font, so we + // account for the style change size. + + if (sequence[i].type === "small") { + var newOptions = options.havingBaseStyle(sequence[i].style); + heightDepth *= newOptions.sizeMultiplier; + } // Check if the delimiter at this size works for the given height. + + + if (heightDepth > height) { + return sequence[i]; + } + } // If we reached the end of the sequence, return the last sequence element. + + + return sequence[sequence.length - 1]; +}; +/** + * Make a delimiter of a given height+depth, with optional centering. Here, we + * traverse the sequences, and create a delimiter that the sequence tells us to. + */ + + +var makeCustomSizedDelim = function makeCustomSizedDelim(delim, height, center, options, mode, classes) { + if (delim === "<" || delim === "\\lt" || delim === "\u27E8") { + delim = "\\langle"; + } else if (delim === ">" || delim === "\\gt" || delim === "\u27E9") { + delim = "\\rangle"; + } // Decide what sequence to use + + + var sequence; + + if (utils.contains(stackNeverDelimiters, delim)) { + sequence = stackNeverDelimiterSequence; + } else if (utils.contains(stackLargeDelimiters, delim)) { + sequence = stackLargeDelimiterSequence; + } else { + sequence = stackAlwaysDelimiterSequence; + } // Look through the sequence + + + var delimType = traverseSequence(delim, height, sequence, options); // Get the delimiter from font glyphs. + // Depending on the sequence element we decided on, call the + // appropriate function. + + if (delimType.type === "small") { + return makeSmallDelim(delim, delimType.style, center, options, mode, classes); + } else if (delimType.type === "large") { + return makeLargeDelim(delim, delimType.size, center, options, mode, classes); + } else + /* if (delimType.type === "stack") */ + { + return makeStackedDelim(delim, height, center, options, mode, classes); + } +}; +/** + * Make a delimiter for use with `\left` and `\right`, given a height and depth + * of an expression that the delimiters surround. + */ + + +var makeLeftRightDelim = function makeLeftRightDelim(delim, height, depth, options, mode, classes) { + // We always center \left/\right delimiters, so the axis is always shifted + var axisHeight = options.fontMetrics().axisHeight * options.sizeMultiplier; // Taken from TeX source, tex.web, function make_left_right + + var delimiterFactor = 901; + var delimiterExtend = 5.0 / options.fontMetrics().ptPerEm; + var maxDistFromAxis = Math.max(height - axisHeight, depth + axisHeight); + var totalHeight = Math.max( // In real TeX, calculations are done using integral values which are + // 65536 per pt, or 655360 per em. So, the division here truncates in + // TeX but doesn't here, producing different results. If we wanted to + // exactly match TeX's calculation, we could do + // Math.floor(655360 * maxDistFromAxis / 500) * + // delimiterFactor / 655360 + // (To see the difference, compare + // x^{x^{\left(\rule{0.1em}{0.68em}\right)}} + // in TeX and KaTeX) + maxDistFromAxis / 500 * delimiterFactor, 2 * maxDistFromAxis - delimiterExtend); // Finally, we defer to `makeCustomSizedDelim` with our calculated total + // height + + return makeCustomSizedDelim(delim, totalHeight, true, options, mode, classes); +}; + +/* harmony default export */ var delimiter = ({ + sqrtImage: makeSqrtImage, + sizedDelim: makeSizedDelim, + sizeToMaxHeight: sizeToMaxHeight, + customSizedDelim: makeCustomSizedDelim, + leftRightDelim: makeLeftRightDelim +}); +;// CONCATENATED MODULE: ./src/functions/delimsizing.js + + + + + + + + + + +// Extra data needed for the delimiter handler down below +var delimiterSizes = { + "\\bigl": { + mclass: "mopen", + size: 1 + }, + "\\Bigl": { + mclass: "mopen", + size: 2 + }, + "\\biggl": { + mclass: "mopen", + size: 3 + }, + "\\Biggl": { + mclass: "mopen", + size: 4 + }, + "\\bigr": { + mclass: "mclose", + size: 1 + }, + "\\Bigr": { + mclass: "mclose", + size: 2 + }, + "\\biggr": { + mclass: "mclose", + size: 3 + }, + "\\Biggr": { + mclass: "mclose", + size: 4 + }, + "\\bigm": { + mclass: "mrel", + size: 1 + }, + "\\Bigm": { + mclass: "mrel", + size: 2 + }, + "\\biggm": { + mclass: "mrel", + size: 3 + }, + "\\Biggm": { + mclass: "mrel", + size: 4 + }, + "\\big": { + mclass: "mord", + size: 1 + }, + "\\Big": { + mclass: "mord", + size: 2 + }, + "\\bigg": { + mclass: "mord", + size: 3 + }, + "\\Bigg": { + mclass: "mord", + size: 4 + } +}; +var delimiters = ["(", "\\lparen", ")", "\\rparen", "[", "\\lbrack", "]", "\\rbrack", "\\{", "\\lbrace", "\\}", "\\rbrace", "\\lfloor", "\\rfloor", "\u230A", "\u230B", "\\lceil", "\\rceil", "\u2308", "\u2309", "<", ">", "\\langle", "\u27E8", "\\rangle", "\u27E9", "\\lt", "\\gt", "\\lvert", "\\rvert", "\\lVert", "\\rVert", "\\lgroup", "\\rgroup", "\u27EE", "\u27EF", "\\lmoustache", "\\rmoustache", "\u23B0", "\u23B1", "/", "\\backslash", "|", "\\vert", "\\|", "\\Vert", "\\uparrow", "\\Uparrow", "\\downarrow", "\\Downarrow", "\\updownarrow", "\\Updownarrow", "."]; + +// Delimiter functions +function checkDelimiter(delim, context) { + var symDelim = checkSymbolNodeType(delim); + + if (symDelim && utils.contains(delimiters, symDelim.text)) { + return symDelim; + } else if (symDelim) { + throw new src_ParseError("Invalid delimiter '" + symDelim.text + "' after '" + context.funcName + "'", delim); + } else { + throw new src_ParseError("Invalid delimiter type '" + delim.type + "'", delim); + } +} + +defineFunction({ + type: "delimsizing", + names: ["\\bigl", "\\Bigl", "\\biggl", "\\Biggl", "\\bigr", "\\Bigr", "\\biggr", "\\Biggr", "\\bigm", "\\Bigm", "\\biggm", "\\Biggm", "\\big", "\\Big", "\\bigg", "\\Bigg"], + props: { + numArgs: 1, + argTypes: ["primitive"] + }, + handler: function handler(context, args) { + var delim = checkDelimiter(args[0], context); + return { + type: "delimsizing", + mode: context.parser.mode, + size: delimiterSizes[context.funcName].size, + mclass: delimiterSizes[context.funcName].mclass, + delim: delim.text + }; + }, + htmlBuilder: function htmlBuilder(group, options) { + if (group.delim === ".") { + // Empty delimiters still count as elements, even though they don't + // show anything. + return buildCommon.makeSpan([group.mclass]); + } // Use delimiter.sizedDelim to generate the delimiter. + + + return delimiter.sizedDelim(group.delim, group.size, options, group.mode, [group.mclass]); + }, + mathmlBuilder: function mathmlBuilder(group) { + var children = []; + + if (group.delim !== ".") { + children.push(makeText(group.delim, group.mode)); + } + + var node = new mathMLTree.MathNode("mo", children); + + if (group.mclass === "mopen" || group.mclass === "mclose") { + // Only some of the delimsizing functions act as fences, and they + // return "mopen" or "mclose" mclass. + node.setAttribute("fence", "true"); + } else { + // Explicitly disable fencing if it's not a fence, to override the + // defaults. + node.setAttribute("fence", "false"); + } + + node.setAttribute("stretchy", "true"); + var size = makeEm(delimiter.sizeToMaxHeight[group.size]); + node.setAttribute("minsize", size); + node.setAttribute("maxsize", size); + return node; + } +}); + +function assertParsed(group) { + if (!group.body) { + throw new Error("Bug: The leftright ParseNode wasn't fully parsed."); + } +} + +defineFunction({ + type: "leftright-right", + names: ["\\right"], + props: { + numArgs: 1, + primitive: true + }, + handler: function handler(context, args) { + // \left case below triggers parsing of \right in + // `const right = parser.parseFunction();` + // uses this return value. + var color = context.parser.gullet.macros.get("\\current@color"); + + if (color && typeof color !== "string") { + throw new src_ParseError("\\current@color set to non-string in \\right"); + } + + return { + type: "leftright-right", + mode: context.parser.mode, + delim: checkDelimiter(args[0], context).text, + color: color // undefined if not set via \color + + }; + } +}); +defineFunction({ + type: "leftright", + names: ["\\left"], + props: { + numArgs: 1, + primitive: true + }, + handler: function handler(context, args) { + var delim = checkDelimiter(args[0], context); + var parser = context.parser; // Parse out the implicit body + + ++parser.leftrightDepth; // parseExpression stops before '\\right' + + var body = parser.parseExpression(false); + --parser.leftrightDepth; // Check the next token + + parser.expect("\\right", false); + var right = assertNodeType(parser.parseFunction(), "leftright-right"); + return { + type: "leftright", + mode: parser.mode, + body: body, + left: delim.text, + right: right.delim, + rightColor: right.color + }; + }, + htmlBuilder: function htmlBuilder(group, options) { + assertParsed(group); // Build the inner expression + + var inner = buildExpression(group.body, options, true, ["mopen", "mclose"]); + var innerHeight = 0; + var innerDepth = 0; + var hadMiddle = false; // Calculate its height and depth + + for (var i = 0; i < inner.length; i++) { + // Property `isMiddle` not defined on `span`. See comment in + // "middle"'s htmlBuilder. + // $FlowFixMe + if (inner[i].isMiddle) { + hadMiddle = true; + } else { + innerHeight = Math.max(inner[i].height, innerHeight); + innerDepth = Math.max(inner[i].depth, innerDepth); + } + } // The size of delimiters is the same, regardless of what style we are + // in. Thus, to correctly calculate the size of delimiter we need around + // a group, we scale down the inner size based on the size. + + + innerHeight *= options.sizeMultiplier; + innerDepth *= options.sizeMultiplier; + var leftDelim; + + if (group.left === ".") { + // Empty delimiters in \left and \right make null delimiter spaces. + leftDelim = makeNullDelimiter(options, ["mopen"]); + } else { + // Otherwise, use leftRightDelim to generate the correct sized + // delimiter. + leftDelim = delimiter.leftRightDelim(group.left, innerHeight, innerDepth, options, group.mode, ["mopen"]); + } // Add it to the beginning of the expression + + + inner.unshift(leftDelim); // Handle middle delimiters + + if (hadMiddle) { + for (var _i = 1; _i < inner.length; _i++) { + var middleDelim = inner[_i]; // Property `isMiddle` not defined on `span`. See comment in + // "middle"'s htmlBuilder. + // $FlowFixMe + + var isMiddle = middleDelim.isMiddle; + + if (isMiddle) { + // Apply the options that were active when \middle was called + inner[_i] = delimiter.leftRightDelim(isMiddle.delim, innerHeight, innerDepth, isMiddle.options, group.mode, []); + } + } + } + + var rightDelim; // Same for the right delimiter, but using color specified by \color + + if (group.right === ".") { + rightDelim = makeNullDelimiter(options, ["mclose"]); + } else { + var colorOptions = group.rightColor ? options.withColor(group.rightColor) : options; + rightDelim = delimiter.leftRightDelim(group.right, innerHeight, innerDepth, colorOptions, group.mode, ["mclose"]); + } // Add it to the end of the expression. + + + inner.push(rightDelim); + return buildCommon.makeSpan(["minner"], inner, options); + }, + mathmlBuilder: function mathmlBuilder(group, options) { + assertParsed(group); + var inner = buildMathML_buildExpression(group.body, options); + + if (group.left !== ".") { + var leftNode = new mathMLTree.MathNode("mo", [makeText(group.left, group.mode)]); + leftNode.setAttribute("fence", "true"); + inner.unshift(leftNode); + } + + if (group.right !== ".") { + var rightNode = new mathMLTree.MathNode("mo", [makeText(group.right, group.mode)]); + rightNode.setAttribute("fence", "true"); + + if (group.rightColor) { + rightNode.setAttribute("mathcolor", group.rightColor); + } + + inner.push(rightNode); + } + + return makeRow(inner); + } +}); +defineFunction({ + type: "middle", + names: ["\\middle"], + props: { + numArgs: 1, + primitive: true + }, + handler: function handler(context, args) { + var delim = checkDelimiter(args[0], context); + + if (!context.parser.leftrightDepth) { + throw new src_ParseError("\\middle without preceding \\left", delim); + } + + return { + type: "middle", + mode: context.parser.mode, + delim: delim.text + }; + }, + htmlBuilder: function htmlBuilder(group, options) { + var middleDelim; + + if (group.delim === ".") { + middleDelim = makeNullDelimiter(options, []); + } else { + middleDelim = delimiter.sizedDelim(group.delim, 1, options, group.mode, []); + var isMiddle = { + delim: group.delim, + options: options + }; // Property `isMiddle` not defined on `span`. It is only used in + // this file above. + // TODO: Fix this violation of the `span` type and possibly rename + // things since `isMiddle` sounds like a boolean, but is a struct. + // $FlowFixMe + + middleDelim.isMiddle = isMiddle; + } + + return middleDelim; + }, + mathmlBuilder: function mathmlBuilder(group, options) { + // A Firefox \middle will strech a character vertically only if it + // is in the fence part of the operator dictionary at: + // https://www.w3.org/TR/MathML3/appendixc.html. + // So we need to avoid U+2223 and use plain "|" instead. + var textNode = group.delim === "\\vert" || group.delim === "|" ? makeText("|", "text") : makeText(group.delim, group.mode); + var middleNode = new mathMLTree.MathNode("mo", [textNode]); + middleNode.setAttribute("fence", "true"); // MathML gives 5/18em spacing to each element. + // \middle should get delimiter spacing instead. + + middleNode.setAttribute("lspace", "0.05em"); + middleNode.setAttribute("rspace", "0.05em"); + return middleNode; + } +}); +;// CONCATENATED MODULE: ./src/functions/enclose.js + + + + + + + + + + + + +var enclose_htmlBuilder = function htmlBuilder(group, options) { + // \cancel, \bcancel, \xcancel, \sout, \fbox, \colorbox, \fcolorbox, \phase + // Some groups can return document fragments. Handle those by wrapping + // them in a span. + var inner = buildCommon.wrapFragment(buildGroup(group.body, options), options); + var label = group.label.slice(1); + var scale = options.sizeMultiplier; + var img; + var imgShift = 0; // In the LaTeX cancel package, line geometry is slightly different + // depending on whether the subject is wider than it is tall, or vice versa. + // We don't know the width of a group, so as a proxy, we test if + // the subject is a single character. This captures most of the + // subjects that should get the "tall" treatment. + + var isSingleChar = utils.isCharacterBox(group.body); + + if (label === "sout") { + img = buildCommon.makeSpan(["stretchy", "sout"]); + img.height = options.fontMetrics().defaultRuleThickness / scale; + imgShift = -0.5 * options.fontMetrics().xHeight; + } else if (label === "phase") { + // Set a couple of dimensions from the steinmetz package. + var lineWeight = calculateSize({ + number: 0.6, + unit: "pt" + }, options); + var clearance = calculateSize({ + number: 0.35, + unit: "ex" + }, options); // Prevent size changes like \Huge from affecting line thickness + + var newOptions = options.havingBaseSizing(); + scale = scale / newOptions.sizeMultiplier; + var angleHeight = inner.height + inner.depth + lineWeight + clearance; // Reserve a left pad for the angle. + + inner.style.paddingLeft = makeEm(angleHeight / 2 + lineWeight); // Create an SVG + + var viewBoxHeight = Math.floor(1000 * angleHeight * scale); + var path = phasePath(viewBoxHeight); + var svgNode = new SvgNode([new PathNode("phase", path)], { + "width": "400em", + "height": makeEm(viewBoxHeight / 1000), + "viewBox": "0 0 400000 " + viewBoxHeight, + "preserveAspectRatio": "xMinYMin slice" + }); // Wrap it in a span with overflow: hidden. + + img = buildCommon.makeSvgSpan(["hide-tail"], [svgNode], options); + img.style.height = makeEm(angleHeight); + imgShift = inner.depth + lineWeight + clearance; + } else { + // Add horizontal padding + if (/cancel/.test(label)) { + if (!isSingleChar) { + inner.classes.push("cancel-pad"); + } + } else if (label === "angl") { + inner.classes.push("anglpad"); + } else { + inner.classes.push("boxpad"); + } // Add vertical padding + + + var topPad = 0; + var bottomPad = 0; + var ruleThickness = 0; // ref: cancel package: \advance\totalheight2\p@ % "+2" + + if (/box/.test(label)) { + ruleThickness = Math.max(options.fontMetrics().fboxrule, // default + options.minRuleThickness // User override. + ); + topPad = options.fontMetrics().fboxsep + (label === "colorbox" ? 0 : ruleThickness); + bottomPad = topPad; + } else if (label === "angl") { + ruleThickness = Math.max(options.fontMetrics().defaultRuleThickness, options.minRuleThickness); + topPad = 4 * ruleThickness; // gap = 3 × line, plus the line itself. + + bottomPad = Math.max(0, 0.25 - inner.depth); + } else { + topPad = isSingleChar ? 0.2 : 0; + bottomPad = topPad; + } + + img = stretchy.encloseSpan(inner, label, topPad, bottomPad, options); + + if (/fbox|boxed|fcolorbox/.test(label)) { + img.style.borderStyle = "solid"; + img.style.borderWidth = makeEm(ruleThickness); + } else if (label === "angl" && ruleThickness !== 0.049) { + img.style.borderTopWidth = makeEm(ruleThickness); + img.style.borderRightWidth = makeEm(ruleThickness); + } + + imgShift = inner.depth + bottomPad; + + if (group.backgroundColor) { + img.style.backgroundColor = group.backgroundColor; + + if (group.borderColor) { + img.style.borderColor = group.borderColor; + } + } + } + + var vlist; + + if (group.backgroundColor) { + vlist = buildCommon.makeVList({ + positionType: "individualShift", + children: [// Put the color background behind inner; + { + type: "elem", + elem: img, + shift: imgShift + }, { + type: "elem", + elem: inner, + shift: 0 + }] + }, options); + } else { + var classes = /cancel|phase/.test(label) ? ["svg-align"] : []; + vlist = buildCommon.makeVList({ + positionType: "individualShift", + children: [// Write the \cancel stroke on top of inner. + { + type: "elem", + elem: inner, + shift: 0 + }, { + type: "elem", + elem: img, + shift: imgShift, + wrapperClasses: classes + }] + }, options); + } + + if (/cancel/.test(label)) { + // The cancel package documentation says that cancel lines add their height + // to the expression, but tests show that isn't how it actually works. + vlist.height = inner.height; + vlist.depth = inner.depth; + } + + if (/cancel/.test(label) && !isSingleChar) { + // cancel does not create horiz space for its line extension. + return buildCommon.makeSpan(["mord", "cancel-lap"], [vlist], options); + } else { + return buildCommon.makeSpan(["mord"], [vlist], options); + } +}; + +var enclose_mathmlBuilder = function mathmlBuilder(group, options) { + var fboxsep = 0; + var node = new mathMLTree.MathNode(group.label.indexOf("colorbox") > -1 ? "mpadded" : "menclose", [buildMathML_buildGroup(group.body, options)]); + + switch (group.label) { + case "\\cancel": + node.setAttribute("notation", "updiagonalstrike"); + break; + + case "\\bcancel": + node.setAttribute("notation", "downdiagonalstrike"); + break; + + case "\\phase": + node.setAttribute("notation", "phasorangle"); + break; + + case "\\sout": + node.setAttribute("notation", "horizontalstrike"); + break; + + case "\\fbox": + node.setAttribute("notation", "box"); + break; + + case "\\angl": + node.setAttribute("notation", "actuarial"); + break; + + case "\\fcolorbox": + case "\\colorbox": + // doesn't have a good notation option. So use + // instead. Set some attributes that come included with . + fboxsep = options.fontMetrics().fboxsep * options.fontMetrics().ptPerEm; + node.setAttribute("width", "+" + 2 * fboxsep + "pt"); + node.setAttribute("height", "+" + 2 * fboxsep + "pt"); + node.setAttribute("lspace", fboxsep + "pt"); // + + node.setAttribute("voffset", fboxsep + "pt"); + + if (group.label === "\\fcolorbox") { + var thk = Math.max(options.fontMetrics().fboxrule, // default + options.minRuleThickness // user override + ); + node.setAttribute("style", "border: " + thk + "em solid " + String(group.borderColor)); + } + + break; + + case "\\xcancel": + node.setAttribute("notation", "updiagonalstrike downdiagonalstrike"); + break; + } + + if (group.backgroundColor) { + node.setAttribute("mathbackground", group.backgroundColor); + } + + return node; +}; + +defineFunction({ + type: "enclose", + names: ["\\colorbox"], + props: { + numArgs: 2, + allowedInText: true, + argTypes: ["color", "text"] + }, + handler: function handler(_ref, args, optArgs) { + var parser = _ref.parser, + funcName = _ref.funcName; + var color = assertNodeType(args[0], "color-token").color; + var body = args[1]; + return { + type: "enclose", + mode: parser.mode, + label: funcName, + backgroundColor: color, + body: body + }; + }, + htmlBuilder: enclose_htmlBuilder, + mathmlBuilder: enclose_mathmlBuilder +}); +defineFunction({ + type: "enclose", + names: ["\\fcolorbox"], + props: { + numArgs: 3, + allowedInText: true, + argTypes: ["color", "color", "text"] + }, + handler: function handler(_ref2, args, optArgs) { + var parser = _ref2.parser, + funcName = _ref2.funcName; + var borderColor = assertNodeType(args[0], "color-token").color; + var backgroundColor = assertNodeType(args[1], "color-token").color; + var body = args[2]; + return { + type: "enclose", + mode: parser.mode, + label: funcName, + backgroundColor: backgroundColor, + borderColor: borderColor, + body: body + }; + }, + htmlBuilder: enclose_htmlBuilder, + mathmlBuilder: enclose_mathmlBuilder +}); +defineFunction({ + type: "enclose", + names: ["\\fbox"], + props: { + numArgs: 1, + argTypes: ["hbox"], + allowedInText: true + }, + handler: function handler(_ref3, args) { + var parser = _ref3.parser; + return { + type: "enclose", + mode: parser.mode, + label: "\\fbox", + body: args[0] + }; + } +}); +defineFunction({ + type: "enclose", + names: ["\\cancel", "\\bcancel", "\\xcancel", "\\sout", "\\phase"], + props: { + numArgs: 1 + }, + handler: function handler(_ref4, args) { + var parser = _ref4.parser, + funcName = _ref4.funcName; + var body = args[0]; + return { + type: "enclose", + mode: parser.mode, + label: funcName, + body: body + }; + }, + htmlBuilder: enclose_htmlBuilder, + mathmlBuilder: enclose_mathmlBuilder +}); +defineFunction({ + type: "enclose", + names: ["\\angl"], + props: { + numArgs: 1, + argTypes: ["hbox"], + allowedInText: false + }, + handler: function handler(_ref5, args) { + var parser = _ref5.parser; + return { + type: "enclose", + mode: parser.mode, + label: "\\angl", + body: args[0] + }; + } +}); +;// CONCATENATED MODULE: ./src/defineEnvironment.js + + +/** + * All registered environments. + * `environments.js` exports this same dictionary again and makes it public. + * `Parser.js` requires this dictionary via `environments.js`. + */ +var _environments = {}; +function defineEnvironment(_ref) { + var type = _ref.type, + names = _ref.names, + props = _ref.props, + handler = _ref.handler, + htmlBuilder = _ref.htmlBuilder, + mathmlBuilder = _ref.mathmlBuilder; + // Set default values of environments. + var data = { + type: type, + numArgs: props.numArgs || 0, + allowedInText: false, + numOptionalArgs: 0, + handler: handler + }; + + for (var i = 0; i < names.length; ++i) { + // TODO: The value type of _environments should be a type union of all + // possible `EnvSpec<>` possibilities instead of `EnvSpec<*>`, which is + // an existential type. + _environments[names[i]] = data; + } + + if (htmlBuilder) { + _htmlGroupBuilders[type] = htmlBuilder; + } + + if (mathmlBuilder) { + _mathmlGroupBuilders[type] = mathmlBuilder; + } +} +;// CONCATENATED MODULE: ./src/defineMacro.js + + +/** + * All registered global/built-in macros. + * `macros.js` exports this same dictionary again and makes it public. + * `Parser.js` requires this dictionary via `macros.js`. + */ +var _macros = {}; // This function might one day accept an additional argument and do more things. + +function defineMacro(name, body) { + _macros[name] = body; +} +;// CONCATENATED MODULE: ./src/SourceLocation.js +/** + * Lexing or parsing positional information for error reporting. + * This object is immutable. + */ +var SourceLocation = /*#__PURE__*/function () { + // The + prefix indicates that these fields aren't writeable + // Lexer holding the input string. + // Start offset, zero-based inclusive. + // End offset, zero-based exclusive. + function SourceLocation(lexer, start, end) { + this.lexer = void 0; + this.start = void 0; + this.end = void 0; + this.lexer = lexer; + this.start = start; + this.end = end; + } + /** + * Merges two `SourceLocation`s from location providers, given they are + * provided in order of appearance. + * - Returns the first one's location if only the first is provided. + * - Returns a merged range of the first and the last if both are provided + * and their lexers match. + * - Otherwise, returns null. + */ + + + SourceLocation.range = function range(first, second) { + if (!second) { + return first && first.loc; + } else if (!first || !first.loc || !second.loc || first.loc.lexer !== second.loc.lexer) { + return null; + } else { + return new SourceLocation(first.loc.lexer, first.loc.start, second.loc.end); + } + }; + + return SourceLocation; +}(); + + +;// CONCATENATED MODULE: ./src/Token.js + +/** + * Interface required to break circular dependency between Token, Lexer, and + * ParseError. + */ + +/** + * The resulting token returned from `lex`. + * + * It consists of the token text plus some position information. + * The position information is essentially a range in an input string, + * but instead of referencing the bare input string, we refer to the lexer. + * That way it is possible to attach extra metadata to the input string, + * like for example a file name or similar. + * + * The position information is optional, so it is OK to construct synthetic + * tokens if appropriate. Not providing available position information may + * lead to degraded error reporting, though. + */ +var Token = /*#__PURE__*/function () { + // don't expand the token + // used in \noexpand + function Token(text, // the text of this token + loc) { + this.text = void 0; + this.loc = void 0; + this.noexpand = void 0; + this.treatAsRelax = void 0; + this.text = text; + this.loc = loc; + } + /** + * Given a pair of tokens (this and endToken), compute a `Token` encompassing + * the whole input range enclosed by these two. + */ + + + var _proto = Token.prototype; + + _proto.range = function range(endToken, // last token of the range, inclusive + text // the text of the newly constructed token + ) { + return new Token(text, SourceLocation.range(this, endToken)); + }; + + return Token; +}(); +;// CONCATENATED MODULE: ./src/environments/array.js + + + + + + + + + + + + + + + + +// Helper functions +function getHLines(parser) { + // Return an array. The array length = number of hlines. + // Each element in the array tells if the line is dashed. + var hlineInfo = []; + parser.consumeSpaces(); + var nxt = parser.fetch().text; + + if (nxt === "\\relax") { + // \relax is an artifact of the \cr macro below + parser.consume(); + parser.consumeSpaces(); + nxt = parser.fetch().text; + } + + while (nxt === "\\hline" || nxt === "\\hdashline") { + parser.consume(); + hlineInfo.push(nxt === "\\hdashline"); + parser.consumeSpaces(); + nxt = parser.fetch().text; + } + + return hlineInfo; +} + +var validateAmsEnvironmentContext = function validateAmsEnvironmentContext(context) { + var settings = context.parser.settings; + + if (!settings.displayMode) { + throw new src_ParseError("{" + context.envName + "} can be used only in" + " display mode."); + } +}; // autoTag (an argument to parseArray) can be one of three values: +// * undefined: Regular (not-top-level) array; no tags on each row +// * true: Automatic equation numbering, overridable by \tag +// * false: Tags allowed on each row, but no automatic numbering +// This function *doesn't* work with the "split" environment name. + + +function getAutoTag(name) { + if (name.indexOf("ed") === -1) { + return name.indexOf("*") === -1; + } // return undefined; + +} +/** + * Parse the body of the environment, with rows delimited by \\ and + * columns delimited by &, and create a nested list in row-major order + * with one group per cell. If given an optional argument style + * ("text", "display", etc.), then each cell is cast into that style. + */ + + +function parseArray(parser, _ref, style) { + var hskipBeforeAndAfter = _ref.hskipBeforeAndAfter, + addJot = _ref.addJot, + cols = _ref.cols, + arraystretch = _ref.arraystretch, + colSeparationType = _ref.colSeparationType, + autoTag = _ref.autoTag, + singleRow = _ref.singleRow, + emptySingleRow = _ref.emptySingleRow, + maxNumCols = _ref.maxNumCols, + leqno = _ref.leqno; + parser.gullet.beginGroup(); + + if (!singleRow) { + // \cr is equivalent to \\ without the optional size argument (see below) + // TODO: provide helpful error when \cr is used outside array environment + parser.gullet.macros.set("\\cr", "\\\\\\relax"); + } // Get current arraystretch if it's not set by the environment + + + if (!arraystretch) { + var stretch = parser.gullet.expandMacroAsText("\\arraystretch"); + + if (stretch == null) { + // Default \arraystretch from lttab.dtx + arraystretch = 1; + } else { + arraystretch = parseFloat(stretch); + + if (!arraystretch || arraystretch < 0) { + throw new src_ParseError("Invalid \\arraystretch: " + stretch); + } + } + } // Start group for first cell + + + parser.gullet.beginGroup(); + var row = []; + var body = [row]; + var rowGaps = []; + var hLinesBeforeRow = []; + var tags = autoTag != null ? [] : undefined; // amsmath uses \global\@eqnswtrue and \global\@eqnswfalse to represent + // whether this row should have an equation number. Simulate this with + // a \@eqnsw macro set to 1 or 0. + + function beginRow() { + if (autoTag) { + parser.gullet.macros.set("\\@eqnsw", "1", true); + } + } + + function endRow() { + if (tags) { + if (parser.gullet.macros.get("\\df@tag")) { + tags.push(parser.subparse([new Token("\\df@tag")])); + parser.gullet.macros.set("\\df@tag", undefined, true); + } else { + tags.push(Boolean(autoTag) && parser.gullet.macros.get("\\@eqnsw") === "1"); + } + } + } + + beginRow(); // Test for \hline at the top of the array. + + hLinesBeforeRow.push(getHLines(parser)); + + while (true) { + // eslint-disable-line no-constant-condition + // Parse each cell in its own group (namespace) + var cell = parser.parseExpression(false, singleRow ? "\\end" : "\\\\"); + parser.gullet.endGroup(); + parser.gullet.beginGroup(); + cell = { + type: "ordgroup", + mode: parser.mode, + body: cell + }; + + if (style) { + cell = { + type: "styling", + mode: parser.mode, + style: style, + body: [cell] + }; + } + + row.push(cell); + var next = parser.fetch().text; + + if (next === "&") { + if (maxNumCols && row.length === maxNumCols) { + if (singleRow || colSeparationType) { + // {equation} or {split} + throw new src_ParseError("Too many tab characters: &", parser.nextToken); + } else { + // {array} environment + parser.settings.reportNonstrict("textEnv", "Too few columns " + "specified in the {array} column argument."); + } + } + + parser.consume(); + } else if (next === "\\end") { + endRow(); // Arrays terminate newlines with `\crcr` which consumes a `\cr` if + // the last line is empty. However, AMS environments keep the + // empty row if it's the only one. + // NOTE: Currently, `cell` is the last item added into `row`. + + if (row.length === 1 && cell.type === "styling" && cell.body[0].body.length === 0 && (body.length > 1 || !emptySingleRow)) { + body.pop(); + } + + if (hLinesBeforeRow.length < body.length + 1) { + hLinesBeforeRow.push([]); + } + + break; + } else if (next === "\\\\") { + parser.consume(); + var size = void 0; // \def\Let@{\let\\\math@cr} + // \def\math@cr{...\math@cr@} + // \def\math@cr@{\new@ifnextchar[\math@cr@@{\math@cr@@[\z@]}} + // \def\math@cr@@[#1]{...\math@cr@@@...} + // \def\math@cr@@@{\cr} + + if (parser.gullet.future().text !== " ") { + size = parser.parseSizeGroup(true); + } + + rowGaps.push(size ? size.value : null); + endRow(); // check for \hline(s) following the row separator + + hLinesBeforeRow.push(getHLines(parser)); + row = []; + body.push(row); + beginRow(); + } else { + throw new src_ParseError("Expected & or \\\\ or \\cr or \\end", parser.nextToken); + } + } // End cell group + + + parser.gullet.endGroup(); // End array group defining \cr + + parser.gullet.endGroup(); + return { + type: "array", + mode: parser.mode, + addJot: addJot, + arraystretch: arraystretch, + body: body, + cols: cols, + rowGaps: rowGaps, + hskipBeforeAndAfter: hskipBeforeAndAfter, + hLinesBeforeRow: hLinesBeforeRow, + colSeparationType: colSeparationType, + tags: tags, + leqno: leqno + }; +} // Decides on a style for cells in an array according to whether the given +// environment name starts with the letter 'd'. + + +function dCellStyle(envName) { + if (envName.slice(0, 1) === "d") { + return "display"; + } else { + return "text"; + } +} + +var array_htmlBuilder = function htmlBuilder(group, options) { + var r; + var c; + var nr = group.body.length; + var hLinesBeforeRow = group.hLinesBeforeRow; + var nc = 0; + var body = new Array(nr); + var hlines = []; + var ruleThickness = Math.max( // From LaTeX \showthe\arrayrulewidth. Equals 0.04 em. + options.fontMetrics().arrayRuleWidth, options.minRuleThickness // User override. + ); // Horizontal spacing + + var pt = 1 / options.fontMetrics().ptPerEm; + var arraycolsep = 5 * pt; // default value, i.e. \arraycolsep in article.cls + + if (group.colSeparationType && group.colSeparationType === "small") { + // We're in a {smallmatrix}. Default column space is \thickspace, + // i.e. 5/18em = 0.2778em, per amsmath.dtx for {smallmatrix}. + // But that needs adjustment because LaTeX applies \scriptstyle to the + // entire array, including the colspace, but this function applies + // \scriptstyle only inside each element. + var localMultiplier = options.havingStyle(src_Style.SCRIPT).sizeMultiplier; + arraycolsep = 0.2778 * (localMultiplier / options.sizeMultiplier); + } // Vertical spacing + + + var baselineskip = group.colSeparationType === "CD" ? calculateSize({ + number: 3, + unit: "ex" + }, options) : 12 * pt; // see size10.clo + // Default \jot from ltmath.dtx + // TODO(edemaine): allow overriding \jot via \setlength (#687) + + var jot = 3 * pt; + var arrayskip = group.arraystretch * baselineskip; + var arstrutHeight = 0.7 * arrayskip; // \strutbox in ltfsstrc.dtx and + + var arstrutDepth = 0.3 * arrayskip; // \@arstrutbox in lttab.dtx + + var totalHeight = 0; // Set a position for \hline(s) at the top of the array, if any. + + function setHLinePos(hlinesInGap) { + for (var i = 0; i < hlinesInGap.length; ++i) { + if (i > 0) { + totalHeight += 0.25; + } + + hlines.push({ + pos: totalHeight, + isDashed: hlinesInGap[i] + }); + } + } + + setHLinePos(hLinesBeforeRow[0]); + + for (r = 0; r < group.body.length; ++r) { + var inrow = group.body[r]; + var height = arstrutHeight; // \@array adds an \@arstrut + + var depth = arstrutDepth; // to each tow (via the template) + + if (nc < inrow.length) { + nc = inrow.length; + } + + var outrow = new Array(inrow.length); + + for (c = 0; c < inrow.length; ++c) { + var elt = buildGroup(inrow[c], options); + + if (depth < elt.depth) { + depth = elt.depth; + } + + if (height < elt.height) { + height = elt.height; + } + + outrow[c] = elt; + } + + var rowGap = group.rowGaps[r]; + var gap = 0; + + if (rowGap) { + gap = calculateSize(rowGap, options); + + if (gap > 0) { + // \@argarraycr + gap += arstrutDepth; + + if (depth < gap) { + depth = gap; // \@xargarraycr + } + + gap = 0; + } + } // In AMS multiline environments such as aligned and gathered, rows + // correspond to lines that have additional \jot added to the + // \baselineskip via \openup. + + + if (group.addJot) { + depth += jot; + } + + outrow.height = height; + outrow.depth = depth; + totalHeight += height; + outrow.pos = totalHeight; + totalHeight += depth + gap; // \@yargarraycr + + body[r] = outrow; // Set a position for \hline(s), if any. + + setHLinePos(hLinesBeforeRow[r + 1]); + } + + var offset = totalHeight / 2 + options.fontMetrics().axisHeight; + var colDescriptions = group.cols || []; + var cols = []; + var colSep; + var colDescrNum; + var tagSpans = []; + + if (group.tags && group.tags.some(function (tag) { + return tag; + })) { + // An environment with manual tags and/or automatic equation numbers. + // Create node(s), the latter of which trigger CSS counter increment. + for (r = 0; r < nr; ++r) { + var rw = body[r]; + var shift = rw.pos - offset; + var tag = group.tags[r]; + var tagSpan = void 0; + + if (tag === true) { + // automatic numbering + tagSpan = buildCommon.makeSpan(["eqn-num"], [], options); + } else if (tag === false) { + // \nonumber/\notag or starred environment + tagSpan = buildCommon.makeSpan([], [], options); + } else { + // manual \tag + tagSpan = buildCommon.makeSpan([], buildExpression(tag, options, true), options); + } + + tagSpan.depth = rw.depth; + tagSpan.height = rw.height; + tagSpans.push({ + type: "elem", + elem: tagSpan, + shift: shift + }); + } + } + + for (c = 0, colDescrNum = 0; // Continue while either there are more columns or more column + // descriptions, so trailing separators don't get lost. + c < nc || colDescrNum < colDescriptions.length; ++c, ++colDescrNum) { + var colDescr = colDescriptions[colDescrNum] || {}; + var firstSeparator = true; + + while (colDescr.type === "separator") { + // If there is more than one separator in a row, add a space + // between them. + if (!firstSeparator) { + colSep = buildCommon.makeSpan(["arraycolsep"], []); + colSep.style.width = makeEm(options.fontMetrics().doubleRuleSep); + cols.push(colSep); + } + + if (colDescr.separator === "|" || colDescr.separator === ":") { + var lineType = colDescr.separator === "|" ? "solid" : "dashed"; + var separator = buildCommon.makeSpan(["vertical-separator"], [], options); + separator.style.height = makeEm(totalHeight); + separator.style.borderRightWidth = makeEm(ruleThickness); + separator.style.borderRightStyle = lineType; + separator.style.margin = "0 " + makeEm(-ruleThickness / 2); + + var _shift = totalHeight - offset; + + if (_shift) { + separator.style.verticalAlign = makeEm(-_shift); + } + + cols.push(separator); + } else { + throw new src_ParseError("Invalid separator type: " + colDescr.separator); + } + + colDescrNum++; + colDescr = colDescriptions[colDescrNum] || {}; + firstSeparator = false; + } + + if (c >= nc) { + continue; + } + + var sepwidth = void 0; + + if (c > 0 || group.hskipBeforeAndAfter) { + sepwidth = utils.deflt(colDescr.pregap, arraycolsep); + + if (sepwidth !== 0) { + colSep = buildCommon.makeSpan(["arraycolsep"], []); + colSep.style.width = makeEm(sepwidth); + cols.push(colSep); + } + } + + var col = []; + + for (r = 0; r < nr; ++r) { + var row = body[r]; + var elem = row[c]; + + if (!elem) { + continue; + } + + var _shift2 = row.pos - offset; + + elem.depth = row.depth; + elem.height = row.height; + col.push({ + type: "elem", + elem: elem, + shift: _shift2 + }); + } + + col = buildCommon.makeVList({ + positionType: "individualShift", + children: col + }, options); + col = buildCommon.makeSpan(["col-align-" + (colDescr.align || "c")], [col]); + cols.push(col); + + if (c < nc - 1 || group.hskipBeforeAndAfter) { + sepwidth = utils.deflt(colDescr.postgap, arraycolsep); + + if (sepwidth !== 0) { + colSep = buildCommon.makeSpan(["arraycolsep"], []); + colSep.style.width = makeEm(sepwidth); + cols.push(colSep); + } + } + } + + body = buildCommon.makeSpan(["mtable"], cols); // Add \hline(s), if any. + + if (hlines.length > 0) { + var line = buildCommon.makeLineSpan("hline", options, ruleThickness); + var dashes = buildCommon.makeLineSpan("hdashline", options, ruleThickness); + var vListElems = [{ + type: "elem", + elem: body, + shift: 0 + }]; + + while (hlines.length > 0) { + var hline = hlines.pop(); + var lineShift = hline.pos - offset; + + if (hline.isDashed) { + vListElems.push({ + type: "elem", + elem: dashes, + shift: lineShift + }); + } else { + vListElems.push({ + type: "elem", + elem: line, + shift: lineShift + }); + } + } + + body = buildCommon.makeVList({ + positionType: "individualShift", + children: vListElems + }, options); + } + + if (tagSpans.length === 0) { + return buildCommon.makeSpan(["mord"], [body], options); + } else { + var eqnNumCol = buildCommon.makeVList({ + positionType: "individualShift", + children: tagSpans + }, options); + eqnNumCol = buildCommon.makeSpan(["tag"], [eqnNumCol], options); + return buildCommon.makeFragment([body, eqnNumCol]); + } +}; + +var alignMap = { + c: "center ", + l: "left ", + r: "right " +}; + +var array_mathmlBuilder = function mathmlBuilder(group, options) { + var tbl = []; + var glue = new mathMLTree.MathNode("mtd", [], ["mtr-glue"]); + var tag = new mathMLTree.MathNode("mtd", [], ["mml-eqn-num"]); + + for (var i = 0; i < group.body.length; i++) { + var rw = group.body[i]; + var row = []; + + for (var j = 0; j < rw.length; j++) { + row.push(new mathMLTree.MathNode("mtd", [buildMathML_buildGroup(rw[j], options)])); + } + + if (group.tags && group.tags[i]) { + row.unshift(glue); + row.push(glue); + + if (group.leqno) { + row.unshift(tag); + } else { + row.push(tag); + } + } + + tbl.push(new mathMLTree.MathNode("mtr", row)); + } + + var table = new mathMLTree.MathNode("mtable", tbl); // Set column alignment, row spacing, column spacing, and + // array lines by setting attributes on the table element. + // Set the row spacing. In MathML, we specify a gap distance. + // We do not use rowGap[] because MathML automatically increases + // cell height with the height/depth of the element content. + // LaTeX \arraystretch multiplies the row baseline-to-baseline distance. + // We simulate this by adding (arraystretch - 1)em to the gap. This + // does a reasonable job of adjusting arrays containing 1 em tall content. + // The 0.16 and 0.09 values are found emprically. They produce an array + // similar to LaTeX and in which content does not interfere with \hines. + + var gap = group.arraystretch === 0.5 ? 0.1 // {smallmatrix}, {subarray} + : 0.16 + group.arraystretch - 1 + (group.addJot ? 0.09 : 0); + table.setAttribute("rowspacing", makeEm(gap)); // MathML table lines go only between cells. + // To place a line on an edge we'll use , if necessary. + + var menclose = ""; + var align = ""; + + if (group.cols && group.cols.length > 0) { + // Find column alignment, column spacing, and vertical lines. + var cols = group.cols; + var columnLines = ""; + var prevTypeWasAlign = false; + var iStart = 0; + var iEnd = cols.length; + + if (cols[0].type === "separator") { + menclose += "top "; + iStart = 1; + } + + if (cols[cols.length - 1].type === "separator") { + menclose += "bottom "; + iEnd -= 1; + } + + for (var _i = iStart; _i < iEnd; _i++) { + if (cols[_i].type === "align") { + align += alignMap[cols[_i].align]; + + if (prevTypeWasAlign) { + columnLines += "none "; + } + + prevTypeWasAlign = true; + } else if (cols[_i].type === "separator") { + // MathML accepts only single lines between cells. + // So we read only the first of consecutive separators. + if (prevTypeWasAlign) { + columnLines += cols[_i].separator === "|" ? "solid " : "dashed "; + prevTypeWasAlign = false; + } + } + } + + table.setAttribute("columnalign", align.trim()); + + if (/[sd]/.test(columnLines)) { + table.setAttribute("columnlines", columnLines.trim()); + } + } // Set column spacing. + + + if (group.colSeparationType === "align") { + var _cols = group.cols || []; + + var spacing = ""; + + for (var _i2 = 1; _i2 < _cols.length; _i2++) { + spacing += _i2 % 2 ? "0em " : "1em "; + } + + table.setAttribute("columnspacing", spacing.trim()); + } else if (group.colSeparationType === "alignat" || group.colSeparationType === "gather") { + table.setAttribute("columnspacing", "0em"); + } else if (group.colSeparationType === "small") { + table.setAttribute("columnspacing", "0.2778em"); + } else if (group.colSeparationType === "CD") { + table.setAttribute("columnspacing", "0.5em"); + } else { + table.setAttribute("columnspacing", "1em"); + } // Address \hline and \hdashline + + + var rowLines = ""; + var hlines = group.hLinesBeforeRow; + menclose += hlines[0].length > 0 ? "left " : ""; + menclose += hlines[hlines.length - 1].length > 0 ? "right " : ""; + + for (var _i3 = 1; _i3 < hlines.length - 1; _i3++) { + rowLines += hlines[_i3].length === 0 ? "none " // MathML accepts only a single line between rows. Read one element. + : hlines[_i3][0] ? "dashed " : "solid "; + } + + if (/[sd]/.test(rowLines)) { + table.setAttribute("rowlines", rowLines.trim()); + } + + if (menclose !== "") { + table = new mathMLTree.MathNode("menclose", [table]); + table.setAttribute("notation", menclose.trim()); + } + + if (group.arraystretch && group.arraystretch < 1) { + // A small array. Wrap in scriptstyle so row gap is not too large. + table = new mathMLTree.MathNode("mstyle", [table]); + table.setAttribute("scriptlevel", "1"); + } + + return table; +}; // Convenience function for align, align*, aligned, alignat, alignat*, alignedat. + + +var alignedHandler = function alignedHandler(context, args) { + if (context.envName.indexOf("ed") === -1) { + validateAmsEnvironmentContext(context); + } + + var cols = []; + var separationType = context.envName.indexOf("at") > -1 ? "alignat" : "align"; + var isSplit = context.envName === "split"; + var res = parseArray(context.parser, { + cols: cols, + addJot: true, + autoTag: isSplit ? undefined : getAutoTag(context.envName), + emptySingleRow: true, + colSeparationType: separationType, + maxNumCols: isSplit ? 2 : undefined, + leqno: context.parser.settings.leqno + }, "display"); // Determining number of columns. + // 1. If the first argument is given, we use it as a number of columns, + // and makes sure that each row doesn't exceed that number. + // 2. Otherwise, just count number of columns = maximum number + // of cells in each row ("aligned" mode -- isAligned will be true). + // + // At the same time, prepend empty group {} at beginning of every second + // cell in each row (starting with second cell) so that operators become + // binary. This behavior is implemented in amsmath's \start@aligned. + + var numMaths; + var numCols = 0; + var emptyGroup = { + type: "ordgroup", + mode: context.mode, + body: [] + }; + + if (args[0] && args[0].type === "ordgroup") { + var arg0 = ""; + + for (var i = 0; i < args[0].body.length; i++) { + var textord = assertNodeType(args[0].body[i], "textord"); + arg0 += textord.text; + } + + numMaths = Number(arg0); + numCols = numMaths * 2; + } + + var isAligned = !numCols; + res.body.forEach(function (row) { + for (var _i4 = 1; _i4 < row.length; _i4 += 2) { + // Modify ordgroup node within styling node + var styling = assertNodeType(row[_i4], "styling"); + var ordgroup = assertNodeType(styling.body[0], "ordgroup"); + ordgroup.body.unshift(emptyGroup); + } + + if (!isAligned) { + // Case 1 + var curMaths = row.length / 2; + + if (numMaths < curMaths) { + throw new src_ParseError("Too many math in a row: " + ("expected " + numMaths + ", but got " + curMaths), row[0]); + } + } else if (numCols < row.length) { + // Case 2 + numCols = row.length; + } + }); // Adjusting alignment. + // In aligned mode, we add one \qquad between columns; + // otherwise we add nothing. + + for (var _i5 = 0; _i5 < numCols; ++_i5) { + var align = "r"; + var pregap = 0; + + if (_i5 % 2 === 1) { + align = "l"; + } else if (_i5 > 0 && isAligned) { + // "aligned" mode. + pregap = 1; // add one \quad + } + + cols[_i5] = { + type: "align", + align: align, + pregap: pregap, + postgap: 0 + }; + } + + res.colSeparationType = isAligned ? "align" : "alignat"; + return res; +}; // Arrays are part of LaTeX, defined in lttab.dtx so its documentation +// is part of the source2e.pdf file of LaTeX2e source documentation. +// {darray} is an {array} environment where cells are set in \displaystyle, +// as defined in nccmath.sty. + + +defineEnvironment({ + type: "array", + names: ["array", "darray"], + props: { + numArgs: 1 + }, + handler: function handler(context, args) { + // Since no types are specified above, the two possibilities are + // - The argument is wrapped in {} or [], in which case Parser's + // parseGroup() returns an "ordgroup" wrapping some symbol node. + // - The argument is a bare symbol node. + var symNode = checkSymbolNodeType(args[0]); + var colalign = symNode ? [args[0]] : assertNodeType(args[0], "ordgroup").body; + var cols = colalign.map(function (nde) { + var node = assertSymbolNodeType(nde); + var ca = node.text; + + if ("lcr".indexOf(ca) !== -1) { + return { + type: "align", + align: ca + }; + } else if (ca === "|") { + return { + type: "separator", + separator: "|" + }; + } else if (ca === ":") { + return { + type: "separator", + separator: ":" + }; + } + + throw new src_ParseError("Unknown column alignment: " + ca, nde); + }); + var res = { + cols: cols, + hskipBeforeAndAfter: true, + // \@preamble in lttab.dtx + maxNumCols: cols.length + }; + return parseArray(context.parser, res, dCellStyle(context.envName)); + }, + htmlBuilder: array_htmlBuilder, + mathmlBuilder: array_mathmlBuilder +}); // The matrix environments of amsmath builds on the array environment +// of LaTeX, which is discussed above. +// The mathtools package adds starred versions of the same environments. +// These have an optional argument to choose left|center|right justification. + +defineEnvironment({ + type: "array", + names: ["matrix", "pmatrix", "bmatrix", "Bmatrix", "vmatrix", "Vmatrix", "matrix*", "pmatrix*", "bmatrix*", "Bmatrix*", "vmatrix*", "Vmatrix*"], + props: { + numArgs: 0 + }, + handler: function handler(context) { + var delimiters = { + "matrix": null, + "pmatrix": ["(", ")"], + "bmatrix": ["[", "]"], + "Bmatrix": ["\\{", "\\}"], + "vmatrix": ["|", "|"], + "Vmatrix": ["\\Vert", "\\Vert"] + }[context.envName.replace("*", "")]; // \hskip -\arraycolsep in amsmath + + var colAlign = "c"; + var payload = { + hskipBeforeAndAfter: false, + cols: [{ + type: "align", + align: colAlign + }] + }; + + if (context.envName.charAt(context.envName.length - 1) === "*") { + // It's one of the mathtools starred functions. + // Parse the optional alignment argument. + var parser = context.parser; + parser.consumeSpaces(); + + if (parser.fetch().text === "[") { + parser.consume(); + parser.consumeSpaces(); + colAlign = parser.fetch().text; + + if ("lcr".indexOf(colAlign) === -1) { + throw new src_ParseError("Expected l or c or r", parser.nextToken); + } + + parser.consume(); + parser.consumeSpaces(); + parser.expect("]"); + parser.consume(); + payload.cols = [{ + type: "align", + align: colAlign + }]; + } + } + + var res = parseArray(context.parser, payload, dCellStyle(context.envName)); // Populate cols with the correct number of column alignment specs. + + var numCols = Math.max.apply(Math, [0].concat(res.body.map(function (row) { + return row.length; + }))); + res.cols = new Array(numCols).fill({ + type: "align", + align: colAlign + }); + return delimiters ? { + type: "leftright", + mode: context.mode, + body: [res], + left: delimiters[0], + right: delimiters[1], + rightColor: undefined // \right uninfluenced by \color in array + + } : res; + }, + htmlBuilder: array_htmlBuilder, + mathmlBuilder: array_mathmlBuilder +}); +defineEnvironment({ + type: "array", + names: ["smallmatrix"], + props: { + numArgs: 0 + }, + handler: function handler(context) { + var payload = { + arraystretch: 0.5 + }; + var res = parseArray(context.parser, payload, "script"); + res.colSeparationType = "small"; + return res; + }, + htmlBuilder: array_htmlBuilder, + mathmlBuilder: array_mathmlBuilder +}); +defineEnvironment({ + type: "array", + names: ["subarray"], + props: { + numArgs: 1 + }, + handler: function handler(context, args) { + // Parsing of {subarray} is similar to {array} + var symNode = checkSymbolNodeType(args[0]); + var colalign = symNode ? [args[0]] : assertNodeType(args[0], "ordgroup").body; + var cols = colalign.map(function (nde) { + var node = assertSymbolNodeType(nde); + var ca = node.text; // {subarray} only recognizes "l" & "c" + + if ("lc".indexOf(ca) !== -1) { + return { + type: "align", + align: ca + }; + } + + throw new src_ParseError("Unknown column alignment: " + ca, nde); + }); + + if (cols.length > 1) { + throw new src_ParseError("{subarray} can contain only one column"); + } + + var res = { + cols: cols, + hskipBeforeAndAfter: false, + arraystretch: 0.5 + }; + res = parseArray(context.parser, res, "script"); + + if (res.body.length > 0 && res.body[0].length > 1) { + throw new src_ParseError("{subarray} can contain only one column"); + } + + return res; + }, + htmlBuilder: array_htmlBuilder, + mathmlBuilder: array_mathmlBuilder +}); // A cases environment (in amsmath.sty) is almost equivalent to +// \def\arraystretch{1.2}% +// \left\{\begin{array}{@{}l@{\quad}l@{}} … \end{array}\right. +// {dcases} is a {cases} environment where cells are set in \displaystyle, +// as defined in mathtools.sty. +// {rcases} is another mathtools environment. It's brace is on the right side. + +defineEnvironment({ + type: "array", + names: ["cases", "dcases", "rcases", "drcases"], + props: { + numArgs: 0 + }, + handler: function handler(context) { + var payload = { + arraystretch: 1.2, + cols: [{ + type: "align", + align: "l", + pregap: 0, + // TODO(kevinb) get the current style. + // For now we use the metrics for TEXT style which is what we were + // doing before. Before attempting to get the current style we + // should look at TeX's behavior especially for \over and matrices. + postgap: 1.0 + /* 1em quad */ + + }, { + type: "align", + align: "l", + pregap: 0, + postgap: 0 + }] + }; + var res = parseArray(context.parser, payload, dCellStyle(context.envName)); + return { + type: "leftright", + mode: context.mode, + body: [res], + left: context.envName.indexOf("r") > -1 ? "." : "\\{", + right: context.envName.indexOf("r") > -1 ? "\\}" : ".", + rightColor: undefined + }; + }, + htmlBuilder: array_htmlBuilder, + mathmlBuilder: array_mathmlBuilder +}); // In the align environment, one uses ampersands, &, to specify number of +// columns in each row, and to locate spacing between each column. +// align gets automatic numbering. align* and aligned do not. +// The alignedat environment can be used in math mode. +// Note that we assume \nomallineskiplimit to be zero, +// so that \strut@ is the same as \strut. + +defineEnvironment({ + type: "array", + names: ["align", "align*", "aligned", "split"], + props: { + numArgs: 0 + }, + handler: alignedHandler, + htmlBuilder: array_htmlBuilder, + mathmlBuilder: array_mathmlBuilder +}); // A gathered environment is like an array environment with one centered +// column, but where rows are considered lines so get \jot line spacing +// and contents are set in \displaystyle. + +defineEnvironment({ + type: "array", + names: ["gathered", "gather", "gather*"], + props: { + numArgs: 0 + }, + handler: function handler(context) { + if (utils.contains(["gather", "gather*"], context.envName)) { + validateAmsEnvironmentContext(context); + } + + var res = { + cols: [{ + type: "align", + align: "c" + }], + addJot: true, + colSeparationType: "gather", + autoTag: getAutoTag(context.envName), + emptySingleRow: true, + leqno: context.parser.settings.leqno + }; + return parseArray(context.parser, res, "display"); + }, + htmlBuilder: array_htmlBuilder, + mathmlBuilder: array_mathmlBuilder +}); // alignat environment is like an align environment, but one must explicitly +// specify maximum number of columns in each row, and can adjust spacing between +// each columns. + +defineEnvironment({ + type: "array", + names: ["alignat", "alignat*", "alignedat"], + props: { + numArgs: 1 + }, + handler: alignedHandler, + htmlBuilder: array_htmlBuilder, + mathmlBuilder: array_mathmlBuilder +}); +defineEnvironment({ + type: "array", + names: ["equation", "equation*"], + props: { + numArgs: 0 + }, + handler: function handler(context) { + validateAmsEnvironmentContext(context); + var res = { + autoTag: getAutoTag(context.envName), + emptySingleRow: true, + singleRow: true, + maxNumCols: 1, + leqno: context.parser.settings.leqno + }; + return parseArray(context.parser, res, "display"); + }, + htmlBuilder: array_htmlBuilder, + mathmlBuilder: array_mathmlBuilder +}); +defineEnvironment({ + type: "array", + names: ["CD"], + props: { + numArgs: 0 + }, + handler: function handler(context) { + validateAmsEnvironmentContext(context); + return parseCD(context.parser); + }, + htmlBuilder: array_htmlBuilder, + mathmlBuilder: array_mathmlBuilder +}); +defineMacro("\\nonumber", "\\gdef\\@eqnsw{0}"); +defineMacro("\\notag", "\\nonumber"); // Catch \hline outside array environment + +defineFunction({ + type: "text", + // Doesn't matter what this is. + names: ["\\hline", "\\hdashline"], + props: { + numArgs: 0, + allowedInText: true, + allowedInMath: true + }, + handler: function handler(context, args) { + throw new src_ParseError(context.funcName + " valid only within array environment"); + } +}); +;// CONCATENATED MODULE: ./src/environments.js + +var environments = _environments; +/* harmony default export */ var src_environments = (environments); // All environment definitions should be imported below + + +;// CONCATENATED MODULE: ./src/functions/environment.js + + + + // Environment delimiters. HTML/MathML rendering is defined in the corresponding +// defineEnvironment definitions. + +defineFunction({ + type: "environment", + names: ["\\begin", "\\end"], + props: { + numArgs: 1, + argTypes: ["text"] + }, + handler: function handler(_ref, args) { + var parser = _ref.parser, + funcName = _ref.funcName; + var nameGroup = args[0]; + + if (nameGroup.type !== "ordgroup") { + throw new src_ParseError("Invalid environment name", nameGroup); + } + + var envName = ""; + + for (var i = 0; i < nameGroup.body.length; ++i) { + envName += assertNodeType(nameGroup.body[i], "textord").text; + } + + if (funcName === "\\begin") { + // begin...end is similar to left...right + if (!src_environments.hasOwnProperty(envName)) { + throw new src_ParseError("No such environment: " + envName, nameGroup); + } // Build the environment object. Arguments and other information will + // be made available to the begin and end methods using properties. + + + var env = src_environments[envName]; + + var _parser$parseArgument = parser.parseArguments("\\begin{" + envName + "}", env), + _args = _parser$parseArgument.args, + optArgs = _parser$parseArgument.optArgs; + + var context = { + mode: parser.mode, + envName: envName, + parser: parser + }; + var result = env.handler(context, _args, optArgs); + parser.expect("\\end", false); + var endNameToken = parser.nextToken; + var end = assertNodeType(parser.parseFunction(), "environment"); + + if (end.name !== envName) { + throw new src_ParseError("Mismatch: \\begin{" + envName + "} matched by \\end{" + end.name + "}", endNameToken); + } // $FlowFixMe, "environment" handler returns an environment ParseNode + + + return result; + } + + return { + type: "environment", + mode: parser.mode, + name: envName, + nameGroup: nameGroup + }; + } +}); +;// CONCATENATED MODULE: ./src/functions/font.js +// TODO(kevinb): implement \\sl and \\sc + + + + + + +var font_htmlBuilder = function htmlBuilder(group, options) { + var font = group.font; + var newOptions = options.withFont(font); + return buildGroup(group.body, newOptions); +}; + +var font_mathmlBuilder = function mathmlBuilder(group, options) { + var font = group.font; + var newOptions = options.withFont(font); + return buildMathML_buildGroup(group.body, newOptions); +}; + +var fontAliases = { + "\\Bbb": "\\mathbb", + "\\bold": "\\mathbf", + "\\frak": "\\mathfrak", + "\\bm": "\\boldsymbol" +}; +defineFunction({ + type: "font", + names: [// styles, except \boldsymbol defined below + "\\mathrm", "\\mathit", "\\mathbf", "\\mathnormal", // families + "\\mathbb", "\\mathcal", "\\mathfrak", "\\mathscr", "\\mathsf", "\\mathtt", // aliases, except \bm defined below + "\\Bbb", "\\bold", "\\frak"], + props: { + numArgs: 1, + allowedInArgument: true + }, + handler: function handler(_ref, args) { + var parser = _ref.parser, + funcName = _ref.funcName; + var body = normalizeArgument(args[0]); + var func = funcName; + + if (func in fontAliases) { + func = fontAliases[func]; + } + + return { + type: "font", + mode: parser.mode, + font: func.slice(1), + body: body + }; + }, + htmlBuilder: font_htmlBuilder, + mathmlBuilder: font_mathmlBuilder +}); +defineFunction({ + type: "mclass", + names: ["\\boldsymbol", "\\bm"], + props: { + numArgs: 1 + }, + handler: function handler(_ref2, args) { + var parser = _ref2.parser; + var body = args[0]; + var isCharacterBox = utils.isCharacterBox(body); // amsbsy.sty's \boldsymbol uses \binrel spacing to inherit the + // argument's bin|rel|ord status + + return { + type: "mclass", + mode: parser.mode, + mclass: binrelClass(body), + body: [{ + type: "font", + mode: parser.mode, + font: "boldsymbol", + body: body + }], + isCharacterBox: isCharacterBox + }; + } +}); // Old font changing functions + +defineFunction({ + type: "font", + names: ["\\rm", "\\sf", "\\tt", "\\bf", "\\it", "\\cal"], + props: { + numArgs: 0, + allowedInText: true + }, + handler: function handler(_ref3, args) { + var parser = _ref3.parser, + funcName = _ref3.funcName, + breakOnTokenText = _ref3.breakOnTokenText; + var mode = parser.mode; + var body = parser.parseExpression(true, breakOnTokenText); + var style = "math" + funcName.slice(1); + return { + type: "font", + mode: mode, + font: style, + body: { + type: "ordgroup", + mode: parser.mode, + body: body + } + }; + }, + htmlBuilder: font_htmlBuilder, + mathmlBuilder: font_mathmlBuilder +}); +;// CONCATENATED MODULE: ./src/functions/genfrac.js + + + + + + + + + + + +var adjustStyle = function adjustStyle(size, originalStyle) { + // Figure out what style this fraction should be in based on the + // function used + var style = originalStyle; + + if (size === "display") { + // Get display style as a default. + // If incoming style is sub/sup, use style.text() to get correct size. + style = style.id >= src_Style.SCRIPT.id ? style.text() : src_Style.DISPLAY; + } else if (size === "text" && style.size === src_Style.DISPLAY.size) { + // We're in a \tfrac but incoming style is displaystyle, so: + style = src_Style.TEXT; + } else if (size === "script") { + style = src_Style.SCRIPT; + } else if (size === "scriptscript") { + style = src_Style.SCRIPTSCRIPT; + } + + return style; +}; + +var genfrac_htmlBuilder = function htmlBuilder(group, options) { + // Fractions are handled in the TeXbook on pages 444-445, rules 15(a-e). + var style = adjustStyle(group.size, options.style); + var nstyle = style.fracNum(); + var dstyle = style.fracDen(); + var newOptions; + newOptions = options.havingStyle(nstyle); + var numerm = buildGroup(group.numer, newOptions, options); + + if (group.continued) { + // \cfrac inserts a \strut into the numerator. + // Get \strut dimensions from TeXbook page 353. + var hStrut = 8.5 / options.fontMetrics().ptPerEm; + var dStrut = 3.5 / options.fontMetrics().ptPerEm; + numerm.height = numerm.height < hStrut ? hStrut : numerm.height; + numerm.depth = numerm.depth < dStrut ? dStrut : numerm.depth; + } + + newOptions = options.havingStyle(dstyle); + var denomm = buildGroup(group.denom, newOptions, options); + var rule; + var ruleWidth; + var ruleSpacing; + + if (group.hasBarLine) { + if (group.barSize) { + ruleWidth = calculateSize(group.barSize, options); + rule = buildCommon.makeLineSpan("frac-line", options, ruleWidth); + } else { + rule = buildCommon.makeLineSpan("frac-line", options); + } + + ruleWidth = rule.height; + ruleSpacing = rule.height; + } else { + rule = null; + ruleWidth = 0; + ruleSpacing = options.fontMetrics().defaultRuleThickness; + } // Rule 15b + + + var numShift; + var clearance; + var denomShift; + + if (style.size === src_Style.DISPLAY.size || group.size === "display") { + numShift = options.fontMetrics().num1; + + if (ruleWidth > 0) { + clearance = 3 * ruleSpacing; + } else { + clearance = 7 * ruleSpacing; + } + + denomShift = options.fontMetrics().denom1; + } else { + if (ruleWidth > 0) { + numShift = options.fontMetrics().num2; + clearance = ruleSpacing; + } else { + numShift = options.fontMetrics().num3; + clearance = 3 * ruleSpacing; + } + + denomShift = options.fontMetrics().denom2; + } + + var frac; + + if (!rule) { + // Rule 15c + var candidateClearance = numShift - numerm.depth - (denomm.height - denomShift); + + if (candidateClearance < clearance) { + numShift += 0.5 * (clearance - candidateClearance); + denomShift += 0.5 * (clearance - candidateClearance); + } + + frac = buildCommon.makeVList({ + positionType: "individualShift", + children: [{ + type: "elem", + elem: denomm, + shift: denomShift + }, { + type: "elem", + elem: numerm, + shift: -numShift + }] + }, options); + } else { + // Rule 15d + var axisHeight = options.fontMetrics().axisHeight; + + if (numShift - numerm.depth - (axisHeight + 0.5 * ruleWidth) < clearance) { + numShift += clearance - (numShift - numerm.depth - (axisHeight + 0.5 * ruleWidth)); + } + + if (axisHeight - 0.5 * ruleWidth - (denomm.height - denomShift) < clearance) { + denomShift += clearance - (axisHeight - 0.5 * ruleWidth - (denomm.height - denomShift)); + } + + var midShift = -(axisHeight - 0.5 * ruleWidth); + frac = buildCommon.makeVList({ + positionType: "individualShift", + children: [{ + type: "elem", + elem: denomm, + shift: denomShift + }, { + type: "elem", + elem: rule, + shift: midShift + }, { + type: "elem", + elem: numerm, + shift: -numShift + }] + }, options); + } // Since we manually change the style sometimes (with \dfrac or \tfrac), + // account for the possible size change here. + + + newOptions = options.havingStyle(style); + frac.height *= newOptions.sizeMultiplier / options.sizeMultiplier; + frac.depth *= newOptions.sizeMultiplier / options.sizeMultiplier; // Rule 15e + + var delimSize; + + if (style.size === src_Style.DISPLAY.size) { + delimSize = options.fontMetrics().delim1; + } else if (style.size === src_Style.SCRIPTSCRIPT.size) { + delimSize = options.havingStyle(src_Style.SCRIPT).fontMetrics().delim2; + } else { + delimSize = options.fontMetrics().delim2; + } + + var leftDelim; + var rightDelim; + + if (group.leftDelim == null) { + leftDelim = makeNullDelimiter(options, ["mopen"]); + } else { + leftDelim = delimiter.customSizedDelim(group.leftDelim, delimSize, true, options.havingStyle(style), group.mode, ["mopen"]); + } + + if (group.continued) { + rightDelim = buildCommon.makeSpan([]); // zero width for \cfrac + } else if (group.rightDelim == null) { + rightDelim = makeNullDelimiter(options, ["mclose"]); + } else { + rightDelim = delimiter.customSizedDelim(group.rightDelim, delimSize, true, options.havingStyle(style), group.mode, ["mclose"]); + } + + return buildCommon.makeSpan(["mord"].concat(newOptions.sizingClasses(options)), [leftDelim, buildCommon.makeSpan(["mfrac"], [frac]), rightDelim], options); +}; + +var genfrac_mathmlBuilder = function mathmlBuilder(group, options) { + var node = new mathMLTree.MathNode("mfrac", [buildMathML_buildGroup(group.numer, options), buildMathML_buildGroup(group.denom, options)]); + + if (!group.hasBarLine) { + node.setAttribute("linethickness", "0px"); + } else if (group.barSize) { + var ruleWidth = calculateSize(group.barSize, options); + node.setAttribute("linethickness", makeEm(ruleWidth)); + } + + var style = adjustStyle(group.size, options.style); + + if (style.size !== options.style.size) { + node = new mathMLTree.MathNode("mstyle", [node]); + var isDisplay = style.size === src_Style.DISPLAY.size ? "true" : "false"; + node.setAttribute("displaystyle", isDisplay); + node.setAttribute("scriptlevel", "0"); + } + + if (group.leftDelim != null || group.rightDelim != null) { + var withDelims = []; + + if (group.leftDelim != null) { + var leftOp = new mathMLTree.MathNode("mo", [new mathMLTree.TextNode(group.leftDelim.replace("\\", ""))]); + leftOp.setAttribute("fence", "true"); + withDelims.push(leftOp); + } + + withDelims.push(node); + + if (group.rightDelim != null) { + var rightOp = new mathMLTree.MathNode("mo", [new mathMLTree.TextNode(group.rightDelim.replace("\\", ""))]); + rightOp.setAttribute("fence", "true"); + withDelims.push(rightOp); + } + + return makeRow(withDelims); + } + + return node; +}; + +defineFunction({ + type: "genfrac", + names: ["\\dfrac", "\\frac", "\\tfrac", "\\dbinom", "\\binom", "\\tbinom", "\\\\atopfrac", // can’t be entered directly + "\\\\bracefrac", "\\\\brackfrac" // ditto + ], + props: { + numArgs: 2, + allowedInArgument: true + }, + handler: function handler(_ref, args) { + var parser = _ref.parser, + funcName = _ref.funcName; + var numer = args[0]; + var denom = args[1]; + var hasBarLine; + var leftDelim = null; + var rightDelim = null; + var size = "auto"; + + switch (funcName) { + case "\\dfrac": + case "\\frac": + case "\\tfrac": + hasBarLine = true; + break; + + case "\\\\atopfrac": + hasBarLine = false; + break; + + case "\\dbinom": + case "\\binom": + case "\\tbinom": + hasBarLine = false; + leftDelim = "("; + rightDelim = ")"; + break; + + case "\\\\bracefrac": + hasBarLine = false; + leftDelim = "\\{"; + rightDelim = "\\}"; + break; + + case "\\\\brackfrac": + hasBarLine = false; + leftDelim = "["; + rightDelim = "]"; + break; + + default: + throw new Error("Unrecognized genfrac command"); + } + + switch (funcName) { + case "\\dfrac": + case "\\dbinom": + size = "display"; + break; + + case "\\tfrac": + case "\\tbinom": + size = "text"; + break; + } + + return { + type: "genfrac", + mode: parser.mode, + continued: false, + numer: numer, + denom: denom, + hasBarLine: hasBarLine, + leftDelim: leftDelim, + rightDelim: rightDelim, + size: size, + barSize: null + }; + }, + htmlBuilder: genfrac_htmlBuilder, + mathmlBuilder: genfrac_mathmlBuilder +}); +defineFunction({ + type: "genfrac", + names: ["\\cfrac"], + props: { + numArgs: 2 + }, + handler: function handler(_ref2, args) { + var parser = _ref2.parser, + funcName = _ref2.funcName; + var numer = args[0]; + var denom = args[1]; + return { + type: "genfrac", + mode: parser.mode, + continued: true, + numer: numer, + denom: denom, + hasBarLine: true, + leftDelim: null, + rightDelim: null, + size: "display", + barSize: null + }; + } +}); // Infix generalized fractions -- these are not rendered directly, but replaced +// immediately by one of the variants above. + +defineFunction({ + type: "infix", + names: ["\\over", "\\choose", "\\atop", "\\brace", "\\brack"], + props: { + numArgs: 0, + infix: true + }, + handler: function handler(_ref3) { + var parser = _ref3.parser, + funcName = _ref3.funcName, + token = _ref3.token; + var replaceWith; + + switch (funcName) { + case "\\over": + replaceWith = "\\frac"; + break; + + case "\\choose": + replaceWith = "\\binom"; + break; + + case "\\atop": + replaceWith = "\\\\atopfrac"; + break; + + case "\\brace": + replaceWith = "\\\\bracefrac"; + break; + + case "\\brack": + replaceWith = "\\\\brackfrac"; + break; + + default: + throw new Error("Unrecognized infix genfrac command"); + } + + return { + type: "infix", + mode: parser.mode, + replaceWith: replaceWith, + token: token + }; + } +}); +var stylArray = ["display", "text", "script", "scriptscript"]; + +var delimFromValue = function delimFromValue(delimString) { + var delim = null; + + if (delimString.length > 0) { + delim = delimString; + delim = delim === "." ? null : delim; + } + + return delim; +}; + +defineFunction({ + type: "genfrac", + names: ["\\genfrac"], + props: { + numArgs: 6, + allowedInArgument: true, + argTypes: ["math", "math", "size", "text", "math", "math"] + }, + handler: function handler(_ref4, args) { + var parser = _ref4.parser; + var numer = args[4]; + var denom = args[5]; // Look into the parse nodes to get the desired delimiters. + + var leftNode = normalizeArgument(args[0]); + var leftDelim = leftNode.type === "atom" && leftNode.family === "open" ? delimFromValue(leftNode.text) : null; + var rightNode = normalizeArgument(args[1]); + var rightDelim = rightNode.type === "atom" && rightNode.family === "close" ? delimFromValue(rightNode.text) : null; + var barNode = assertNodeType(args[2], "size"); + var hasBarLine; + var barSize = null; + + if (barNode.isBlank) { + // \genfrac acts differently than \above. + // \genfrac treats an empty size group as a signal to use a + // standard bar size. \above would see size = 0 and omit the bar. + hasBarLine = true; + } else { + barSize = barNode.value; + hasBarLine = barSize.number > 0; + } // Find out if we want displaystyle, textstyle, etc. + + + var size = "auto"; + var styl = args[3]; + + if (styl.type === "ordgroup") { + if (styl.body.length > 0) { + var textOrd = assertNodeType(styl.body[0], "textord"); + size = stylArray[Number(textOrd.text)]; + } + } else { + styl = assertNodeType(styl, "textord"); + size = stylArray[Number(styl.text)]; + } + + return { + type: "genfrac", + mode: parser.mode, + numer: numer, + denom: denom, + continued: false, + hasBarLine: hasBarLine, + barSize: barSize, + leftDelim: leftDelim, + rightDelim: rightDelim, + size: size + }; + }, + htmlBuilder: genfrac_htmlBuilder, + mathmlBuilder: genfrac_mathmlBuilder +}); // \above is an infix fraction that also defines a fraction bar size. + +defineFunction({ + type: "infix", + names: ["\\above"], + props: { + numArgs: 1, + argTypes: ["size"], + infix: true + }, + handler: function handler(_ref5, args) { + var parser = _ref5.parser, + funcName = _ref5.funcName, + token = _ref5.token; + return { + type: "infix", + mode: parser.mode, + replaceWith: "\\\\abovefrac", + size: assertNodeType(args[0], "size").value, + token: token + }; + } +}); +defineFunction({ + type: "genfrac", + names: ["\\\\abovefrac"], + props: { + numArgs: 3, + argTypes: ["math", "size", "math"] + }, + handler: function handler(_ref6, args) { + var parser = _ref6.parser, + funcName = _ref6.funcName; + var numer = args[0]; + var barSize = assert(assertNodeType(args[1], "infix").size); + var denom = args[2]; + var hasBarLine = barSize.number > 0; + return { + type: "genfrac", + mode: parser.mode, + numer: numer, + denom: denom, + continued: false, + hasBarLine: hasBarLine, + barSize: barSize, + leftDelim: null, + rightDelim: null, + size: "auto" + }; + }, + htmlBuilder: genfrac_htmlBuilder, + mathmlBuilder: genfrac_mathmlBuilder +}); +;// CONCATENATED MODULE: ./src/functions/horizBrace.js + + + + + + + + +// NOTE: Unlike most `htmlBuilder`s, this one handles not only "horizBrace", but +// also "supsub" since an over/underbrace can affect super/subscripting. +var horizBrace_htmlBuilder = function htmlBuilder(grp, options) { + var style = options.style; // Pull out the `ParseNode<"horizBrace">` if `grp` is a "supsub" node. + + var supSubGroup; + var group; + + if (grp.type === "supsub") { + // Ref: LaTeX source2e: }}}}\limits} + // i.e. LaTeX treats the brace similar to an op and passes it + // with \limits, so we need to assign supsub style. + supSubGroup = grp.sup ? buildGroup(grp.sup, options.havingStyle(style.sup()), options) : buildGroup(grp.sub, options.havingStyle(style.sub()), options); + group = assertNodeType(grp.base, "horizBrace"); + } else { + group = assertNodeType(grp, "horizBrace"); + } // Build the base group + + + var body = buildGroup(group.base, options.havingBaseStyle(src_Style.DISPLAY)); // Create the stretchy element + + var braceBody = stretchy.svgSpan(group, options); // Generate the vlist, with the appropriate kerns ┏━━━━━━━━┓ + // This first vlist contains the content and the brace: equation + + var vlist; + + if (group.isOver) { + vlist = buildCommon.makeVList({ + positionType: "firstBaseline", + children: [{ + type: "elem", + elem: body + }, { + type: "kern", + size: 0.1 + }, { + type: "elem", + elem: braceBody + }] + }, options); // $FlowFixMe: Replace this with passing "svg-align" into makeVList. + + vlist.children[0].children[0].children[1].classes.push("svg-align"); + } else { + vlist = buildCommon.makeVList({ + positionType: "bottom", + positionData: body.depth + 0.1 + braceBody.height, + children: [{ + type: "elem", + elem: braceBody + }, { + type: "kern", + size: 0.1 + }, { + type: "elem", + elem: body + }] + }, options); // $FlowFixMe: Replace this with passing "svg-align" into makeVList. + + vlist.children[0].children[0].children[0].classes.push("svg-align"); + } + + if (supSubGroup) { + // To write the supsub, wrap the first vlist in another vlist: + // They can't all go in the same vlist, because the note might be + // wider than the equation. We want the equation to control the + // brace width. + // note long note long note + // ┏━━━━━━━━┓ or ┏━━━┓ not ┏━━━━━━━━━┓ + // equation eqn eqn + var vSpan = buildCommon.makeSpan(["mord", group.isOver ? "mover" : "munder"], [vlist], options); + + if (group.isOver) { + vlist = buildCommon.makeVList({ + positionType: "firstBaseline", + children: [{ + type: "elem", + elem: vSpan + }, { + type: "kern", + size: 0.2 + }, { + type: "elem", + elem: supSubGroup + }] + }, options); + } else { + vlist = buildCommon.makeVList({ + positionType: "bottom", + positionData: vSpan.depth + 0.2 + supSubGroup.height + supSubGroup.depth, + children: [{ + type: "elem", + elem: supSubGroup + }, { + type: "kern", + size: 0.2 + }, { + type: "elem", + elem: vSpan + }] + }, options); + } + } + + return buildCommon.makeSpan(["mord", group.isOver ? "mover" : "munder"], [vlist], options); +}; + +var horizBrace_mathmlBuilder = function mathmlBuilder(group, options) { + var accentNode = stretchy.mathMLnode(group.label); + return new mathMLTree.MathNode(group.isOver ? "mover" : "munder", [buildMathML_buildGroup(group.base, options), accentNode]); +}; // Horizontal stretchy braces + + +defineFunction({ + type: "horizBrace", + names: ["\\overbrace", "\\underbrace"], + props: { + numArgs: 1 + }, + handler: function handler(_ref, args) { + var parser = _ref.parser, + funcName = _ref.funcName; + return { + type: "horizBrace", + mode: parser.mode, + label: funcName, + isOver: /^\\over/.test(funcName), + base: args[0] + }; + }, + htmlBuilder: horizBrace_htmlBuilder, + mathmlBuilder: horizBrace_mathmlBuilder +}); +;// CONCATENATED MODULE: ./src/functions/href.js + + + + + + +defineFunction({ + type: "href", + names: ["\\href"], + props: { + numArgs: 2, + argTypes: ["url", "original"], + allowedInText: true + }, + handler: function handler(_ref, args) { + var parser = _ref.parser; + var body = args[1]; + var href = assertNodeType(args[0], "url").url; + + if (!parser.settings.isTrusted({ + command: "\\href", + url: href + })) { + return parser.formatUnsupportedCmd("\\href"); + } + + return { + type: "href", + mode: parser.mode, + href: href, + body: ordargument(body) + }; + }, + htmlBuilder: function htmlBuilder(group, options) { + var elements = buildExpression(group.body, options, false); + return buildCommon.makeAnchor(group.href, [], elements, options); + }, + mathmlBuilder: function mathmlBuilder(group, options) { + var math = buildExpressionRow(group.body, options); + + if (!(math instanceof MathNode)) { + math = new MathNode("mrow", [math]); + } + + math.setAttribute("href", group.href); + return math; + } +}); +defineFunction({ + type: "href", + names: ["\\url"], + props: { + numArgs: 1, + argTypes: ["url"], + allowedInText: true + }, + handler: function handler(_ref2, args) { + var parser = _ref2.parser; + var href = assertNodeType(args[0], "url").url; + + if (!parser.settings.isTrusted({ + command: "\\url", + url: href + })) { + return parser.formatUnsupportedCmd("\\url"); + } + + var chars = []; + + for (var i = 0; i < href.length; i++) { + var c = href[i]; + + if (c === "~") { + c = "\\textasciitilde"; + } + + chars.push({ + type: "textord", + mode: "text", + text: c + }); + } + + var body = { + type: "text", + mode: parser.mode, + font: "\\texttt", + body: chars + }; + return { + type: "href", + mode: parser.mode, + href: href, + body: ordargument(body) + }; + } +}); +;// CONCATENATED MODULE: ./src/functions/hbox.js + + + + + // \hbox is provided for compatibility with LaTeX \vcenter. +// In LaTeX, \vcenter can act only on a box, as in +// \vcenter{\hbox{$\frac{a+b}{\dfrac{c}{d}}$}} +// This function by itself doesn't do anything but prevent a soft line break. + +defineFunction({ + type: "hbox", + names: ["\\hbox"], + props: { + numArgs: 1, + argTypes: ["text"], + allowedInText: true, + primitive: true + }, + handler: function handler(_ref, args) { + var parser = _ref.parser; + return { + type: "hbox", + mode: parser.mode, + body: ordargument(args[0]) + }; + }, + htmlBuilder: function htmlBuilder(group, options) { + var elements = buildExpression(group.body, options, false); + return buildCommon.makeFragment(elements); + }, + mathmlBuilder: function mathmlBuilder(group, options) { + return new mathMLTree.MathNode("mrow", buildMathML_buildExpression(group.body, options)); + } +}); +;// CONCATENATED MODULE: ./src/functions/html.js + + + + + + +defineFunction({ + type: "html", + names: ["\\htmlClass", "\\htmlId", "\\htmlStyle", "\\htmlData"], + props: { + numArgs: 2, + argTypes: ["raw", "original"], + allowedInText: true + }, + handler: function handler(_ref, args) { + var parser = _ref.parser, + funcName = _ref.funcName, + token = _ref.token; + var value = assertNodeType(args[0], "raw").string; + var body = args[1]; + + if (parser.settings.strict) { + parser.settings.reportNonstrict("htmlExtension", "HTML extension is disabled on strict mode"); + } + + var trustContext; + var attributes = {}; + + switch (funcName) { + case "\\htmlClass": + attributes.class = value; + trustContext = { + command: "\\htmlClass", + class: value + }; + break; + + case "\\htmlId": + attributes.id = value; + trustContext = { + command: "\\htmlId", + id: value + }; + break; + + case "\\htmlStyle": + attributes.style = value; + trustContext = { + command: "\\htmlStyle", + style: value + }; + break; + + case "\\htmlData": + { + var data = value.split(","); + + for (var i = 0; i < data.length; i++) { + var keyVal = data[i].split("="); + + if (keyVal.length !== 2) { + throw new src_ParseError("Error parsing key-value for \\htmlData"); + } + + attributes["data-" + keyVal[0].trim()] = keyVal[1].trim(); + } + + trustContext = { + command: "\\htmlData", + attributes: attributes + }; + break; + } + + default: + throw new Error("Unrecognized html command"); + } + + if (!parser.settings.isTrusted(trustContext)) { + return parser.formatUnsupportedCmd(funcName); + } + + return { + type: "html", + mode: parser.mode, + attributes: attributes, + body: ordargument(body) + }; + }, + htmlBuilder: function htmlBuilder(group, options) { + var elements = buildExpression(group.body, options, false); + var classes = ["enclosing"]; + + if (group.attributes.class) { + classes.push.apply(classes, group.attributes.class.trim().split(/\s+/)); + } + + var span = buildCommon.makeSpan(classes, elements, options); + + for (var attr in group.attributes) { + if (attr !== "class" && group.attributes.hasOwnProperty(attr)) { + span.setAttribute(attr, group.attributes[attr]); + } + } + + return span; + }, + mathmlBuilder: function mathmlBuilder(group, options) { + return buildExpressionRow(group.body, options); + } +}); +;// CONCATENATED MODULE: ./src/functions/htmlmathml.js + + + + +defineFunction({ + type: "htmlmathml", + names: ["\\html@mathml"], + props: { + numArgs: 2, + allowedInText: true + }, + handler: function handler(_ref, args) { + var parser = _ref.parser; + return { + type: "htmlmathml", + mode: parser.mode, + html: ordargument(args[0]), + mathml: ordargument(args[1]) + }; + }, + htmlBuilder: function htmlBuilder(group, options) { + var elements = buildExpression(group.html, options, false); + return buildCommon.makeFragment(elements); + }, + mathmlBuilder: function mathmlBuilder(group, options) { + return buildExpressionRow(group.mathml, options); + } +}); +;// CONCATENATED MODULE: ./src/functions/includegraphics.js + + + + + + + +var sizeData = function sizeData(str) { + if (/^[-+]? *(\d+(\.\d*)?|\.\d+)$/.test(str)) { + // str is a number with no unit specified. + // default unit is bp, per graphix package. + return { + number: +str, + unit: "bp" + }; + } else { + var match = /([-+]?) *(\d+(?:\.\d*)?|\.\d+) *([a-z]{2})/.exec(str); + + if (!match) { + throw new src_ParseError("Invalid size: '" + str + "' in \\includegraphics"); + } + + var data = { + number: +(match[1] + match[2]), + // sign + magnitude, cast to number + unit: match[3] + }; + + if (!validUnit(data)) { + throw new src_ParseError("Invalid unit: '" + data.unit + "' in \\includegraphics."); + } + + return data; + } +}; + +defineFunction({ + type: "includegraphics", + names: ["\\includegraphics"], + props: { + numArgs: 1, + numOptionalArgs: 1, + argTypes: ["raw", "url"], + allowedInText: false + }, + handler: function handler(_ref, args, optArgs) { + var parser = _ref.parser; + var width = { + number: 0, + unit: "em" + }; + var height = { + number: 0.9, + unit: "em" + }; // sorta character sized. + + var totalheight = { + number: 0, + unit: "em" + }; + var alt = ""; + + if (optArgs[0]) { + var attributeStr = assertNodeType(optArgs[0], "raw").string; // Parser.js does not parse key/value pairs. We get a string. + + var attributes = attributeStr.split(","); + + for (var i = 0; i < attributes.length; i++) { + var keyVal = attributes[i].split("="); + + if (keyVal.length === 2) { + var str = keyVal[1].trim(); + + switch (keyVal[0].trim()) { + case "alt": + alt = str; + break; + + case "width": + width = sizeData(str); + break; + + case "height": + height = sizeData(str); + break; + + case "totalheight": + totalheight = sizeData(str); + break; + + default: + throw new src_ParseError("Invalid key: '" + keyVal[0] + "' in \\includegraphics."); + } + } + } + } + + var src = assertNodeType(args[0], "url").url; + + if (alt === "") { + // No alt given. Use the file name. Strip away the path. + alt = src; + alt = alt.replace(/^.*[\\/]/, ''); + alt = alt.substring(0, alt.lastIndexOf('.')); + } + + if (!parser.settings.isTrusted({ + command: "\\includegraphics", + url: src + })) { + return parser.formatUnsupportedCmd("\\includegraphics"); + } + + return { + type: "includegraphics", + mode: parser.mode, + alt: alt, + width: width, + height: height, + totalheight: totalheight, + src: src + }; + }, + htmlBuilder: function htmlBuilder(group, options) { + var height = calculateSize(group.height, options); + var depth = 0; + + if (group.totalheight.number > 0) { + depth = calculateSize(group.totalheight, options) - height; + } + + var width = 0; + + if (group.width.number > 0) { + width = calculateSize(group.width, options); + } + + var style = { + height: makeEm(height + depth) + }; + + if (width > 0) { + style.width = makeEm(width); + } + + if (depth > 0) { + style.verticalAlign = makeEm(-depth); + } + + var node = new Img(group.src, group.alt, style); + node.height = height; + node.depth = depth; + return node; + }, + mathmlBuilder: function mathmlBuilder(group, options) { + var node = new mathMLTree.MathNode("mglyph", []); + node.setAttribute("alt", group.alt); + var height = calculateSize(group.height, options); + var depth = 0; + + if (group.totalheight.number > 0) { + depth = calculateSize(group.totalheight, options) - height; + node.setAttribute("valign", makeEm(-depth)); + } + + node.setAttribute("height", makeEm(height + depth)); + + if (group.width.number > 0) { + var width = calculateSize(group.width, options); + node.setAttribute("width", makeEm(width)); + } + + node.setAttribute("src", group.src); + return node; + } +}); +;// CONCATENATED MODULE: ./src/functions/kern.js +// Horizontal spacing commands + + + + + // TODO: \hskip and \mskip should support plus and minus in lengths + +defineFunction({ + type: "kern", + names: ["\\kern", "\\mkern", "\\hskip", "\\mskip"], + props: { + numArgs: 1, + argTypes: ["size"], + primitive: true, + allowedInText: true + }, + handler: function handler(_ref, args) { + var parser = _ref.parser, + funcName = _ref.funcName; + var size = assertNodeType(args[0], "size"); + + if (parser.settings.strict) { + var mathFunction = funcName[1] === 'm'; // \mkern, \mskip + + var muUnit = size.value.unit === 'mu'; + + if (mathFunction) { + if (!muUnit) { + parser.settings.reportNonstrict("mathVsTextUnits", "LaTeX's " + funcName + " supports only mu units, " + ("not " + size.value.unit + " units")); + } + + if (parser.mode !== "math") { + parser.settings.reportNonstrict("mathVsTextUnits", "LaTeX's " + funcName + " works only in math mode"); + } + } else { + // !mathFunction + if (muUnit) { + parser.settings.reportNonstrict("mathVsTextUnits", "LaTeX's " + funcName + " doesn't support mu units"); + } + } + } + + return { + type: "kern", + mode: parser.mode, + dimension: size.value + }; + }, + htmlBuilder: function htmlBuilder(group, options) { + return buildCommon.makeGlue(group.dimension, options); + }, + mathmlBuilder: function mathmlBuilder(group, options) { + var dimension = calculateSize(group.dimension, options); + return new mathMLTree.SpaceNode(dimension); + } +}); +;// CONCATENATED MODULE: ./src/functions/lap.js +// Horizontal overlap functions + + + + + + +defineFunction({ + type: "lap", + names: ["\\mathllap", "\\mathrlap", "\\mathclap"], + props: { + numArgs: 1, + allowedInText: true + }, + handler: function handler(_ref, args) { + var parser = _ref.parser, + funcName = _ref.funcName; + var body = args[0]; + return { + type: "lap", + mode: parser.mode, + alignment: funcName.slice(5), + body: body + }; + }, + htmlBuilder: function htmlBuilder(group, options) { + // mathllap, mathrlap, mathclap + var inner; + + if (group.alignment === "clap") { + // ref: https://www.math.lsu.edu/~aperlis/publications/mathclap/ + inner = buildCommon.makeSpan([], [buildGroup(group.body, options)]); // wrap, since CSS will center a .clap > .inner > span + + inner = buildCommon.makeSpan(["inner"], [inner], options); + } else { + inner = buildCommon.makeSpan(["inner"], [buildGroup(group.body, options)]); + } + + var fix = buildCommon.makeSpan(["fix"], []); + var node = buildCommon.makeSpan([group.alignment], [inner, fix], options); // At this point, we have correctly set horizontal alignment of the + // two items involved in the lap. + // Next, use a strut to set the height of the HTML bounding box. + // Otherwise, a tall argument may be misplaced. + // This code resolved issue #1153 + + var strut = buildCommon.makeSpan(["strut"]); + strut.style.height = makeEm(node.height + node.depth); + + if (node.depth) { + strut.style.verticalAlign = makeEm(-node.depth); + } + + node.children.unshift(strut); // Next, prevent vertical misplacement when next to something tall. + // This code resolves issue #1234 + + node = buildCommon.makeSpan(["thinbox"], [node], options); + return buildCommon.makeSpan(["mord", "vbox"], [node], options); + }, + mathmlBuilder: function mathmlBuilder(group, options) { + // mathllap, mathrlap, mathclap + var node = new mathMLTree.MathNode("mpadded", [buildMathML_buildGroup(group.body, options)]); + + if (group.alignment !== "rlap") { + var offset = group.alignment === "llap" ? "-1" : "-0.5"; + node.setAttribute("lspace", offset + "width"); + } + + node.setAttribute("width", "0px"); + return node; + } +}); +;// CONCATENATED MODULE: ./src/functions/math.js + + // Switching from text mode back to math mode + +defineFunction({ + type: "styling", + names: ["\\(", "$"], + props: { + numArgs: 0, + allowedInText: true, + allowedInMath: false + }, + handler: function handler(_ref, args) { + var funcName = _ref.funcName, + parser = _ref.parser; + var outerMode = parser.mode; + parser.switchMode("math"); + var close = funcName === "\\(" ? "\\)" : "$"; + var body = parser.parseExpression(false, close); + parser.expect(close); + parser.switchMode(outerMode); + return { + type: "styling", + mode: parser.mode, + style: "text", + body: body + }; + } +}); // Check for extra closing math delimiters + +defineFunction({ + type: "text", + // Doesn't matter what this is. + names: ["\\)", "\\]"], + props: { + numArgs: 0, + allowedInText: true, + allowedInMath: false + }, + handler: function handler(context, args) { + throw new src_ParseError("Mismatched " + context.funcName); + } +}); +;// CONCATENATED MODULE: ./src/functions/mathchoice.js + + + + + + +var chooseMathStyle = function chooseMathStyle(group, options) { + switch (options.style.size) { + case src_Style.DISPLAY.size: + return group.display; + + case src_Style.TEXT.size: + return group.text; + + case src_Style.SCRIPT.size: + return group.script; + + case src_Style.SCRIPTSCRIPT.size: + return group.scriptscript; + + default: + return group.text; + } +}; + +defineFunction({ + type: "mathchoice", + names: ["\\mathchoice"], + props: { + numArgs: 4, + primitive: true + }, + handler: function handler(_ref, args) { + var parser = _ref.parser; + return { + type: "mathchoice", + mode: parser.mode, + display: ordargument(args[0]), + text: ordargument(args[1]), + script: ordargument(args[2]), + scriptscript: ordargument(args[3]) + }; + }, + htmlBuilder: function htmlBuilder(group, options) { + var body = chooseMathStyle(group, options); + var elements = buildExpression(body, options, false); + return buildCommon.makeFragment(elements); + }, + mathmlBuilder: function mathmlBuilder(group, options) { + var body = chooseMathStyle(group, options); + return buildExpressionRow(body, options); + } +}); +;// CONCATENATED MODULE: ./src/functions/utils/assembleSupSub.js + + + + // For an operator with limits, assemble the base, sup, and sub into a span. + +var assembleSupSub = function assembleSupSub(base, supGroup, subGroup, options, style, slant, baseShift) { + base = buildCommon.makeSpan([], [base]); + var subIsSingleCharacter = subGroup && utils.isCharacterBox(subGroup); + var sub; + var sup; // We manually have to handle the superscripts and subscripts. This, + // aside from the kern calculations, is copied from supsub. + + if (supGroup) { + var elem = buildGroup(supGroup, options.havingStyle(style.sup()), options); + sup = { + elem: elem, + kern: Math.max(options.fontMetrics().bigOpSpacing1, options.fontMetrics().bigOpSpacing3 - elem.depth) + }; + } + + if (subGroup) { + var _elem = buildGroup(subGroup, options.havingStyle(style.sub()), options); + + sub = { + elem: _elem, + kern: Math.max(options.fontMetrics().bigOpSpacing2, options.fontMetrics().bigOpSpacing4 - _elem.height) + }; + } // Build the final group as a vlist of the possible subscript, base, + // and possible superscript. + + + var finalGroup; + + if (sup && sub) { + var bottom = options.fontMetrics().bigOpSpacing5 + sub.elem.height + sub.elem.depth + sub.kern + base.depth + baseShift; + finalGroup = buildCommon.makeVList({ + positionType: "bottom", + positionData: bottom, + children: [{ + type: "kern", + size: options.fontMetrics().bigOpSpacing5 + }, { + type: "elem", + elem: sub.elem, + marginLeft: makeEm(-slant) + }, { + type: "kern", + size: sub.kern + }, { + type: "elem", + elem: base + }, { + type: "kern", + size: sup.kern + }, { + type: "elem", + elem: sup.elem, + marginLeft: makeEm(slant) + }, { + type: "kern", + size: options.fontMetrics().bigOpSpacing5 + }] + }, options); + } else if (sub) { + var top = base.height - baseShift; // Shift the limits by the slant of the symbol. Note + // that we are supposed to shift the limits by 1/2 of the slant, + // but since we are centering the limits adding a full slant of + // margin will shift by 1/2 that. + + finalGroup = buildCommon.makeVList({ + positionType: "top", + positionData: top, + children: [{ + type: "kern", + size: options.fontMetrics().bigOpSpacing5 + }, { + type: "elem", + elem: sub.elem, + marginLeft: makeEm(-slant) + }, { + type: "kern", + size: sub.kern + }, { + type: "elem", + elem: base + }] + }, options); + } else if (sup) { + var _bottom = base.depth + baseShift; + + finalGroup = buildCommon.makeVList({ + positionType: "bottom", + positionData: _bottom, + children: [{ + type: "elem", + elem: base + }, { + type: "kern", + size: sup.kern + }, { + type: "elem", + elem: sup.elem, + marginLeft: makeEm(slant) + }, { + type: "kern", + size: options.fontMetrics().bigOpSpacing5 + }] + }, options); + } else { + // This case probably shouldn't occur (this would mean the + // supsub was sending us a group with no superscript or + // subscript) but be safe. + return base; + } + + var parts = [finalGroup]; + + if (sub && slant !== 0 && !subIsSingleCharacter) { + // A negative margin-left was applied to the lower limit. + // Avoid an overlap by placing a spacer on the left on the group. + var spacer = buildCommon.makeSpan(["mspace"], [], options); + spacer.style.marginRight = makeEm(slant); + parts.unshift(spacer); + } + + return buildCommon.makeSpan(["mop", "op-limits"], parts, options); +}; +;// CONCATENATED MODULE: ./src/functions/op.js +// Limits, symbols + + + + + + + + + + + +// Most operators have a large successor symbol, but these don't. +var noSuccessor = ["\\smallint"]; // NOTE: Unlike most `htmlBuilder`s, this one handles not only "op", but also +// "supsub" since some of them (like \int) can affect super/subscripting. + +var op_htmlBuilder = function htmlBuilder(grp, options) { + // Operators are handled in the TeXbook pg. 443-444, rule 13(a). + var supGroup; + var subGroup; + var hasLimits = false; + var group; + + if (grp.type === "supsub") { + // If we have limits, supsub will pass us its group to handle. Pull + // out the superscript and subscript and set the group to the op in + // its base. + supGroup = grp.sup; + subGroup = grp.sub; + group = assertNodeType(grp.base, "op"); + hasLimits = true; + } else { + group = assertNodeType(grp, "op"); + } + + var style = options.style; + var large = false; + + if (style.size === src_Style.DISPLAY.size && group.symbol && !utils.contains(noSuccessor, group.name)) { + // Most symbol operators get larger in displaystyle (rule 13) + large = true; + } + + var base; + + if (group.symbol) { + // If this is a symbol, create the symbol. + var fontName = large ? "Size2-Regular" : "Size1-Regular"; + var stash = ""; + + if (group.name === "\\oiint" || group.name === "\\oiiint") { + // No font glyphs yet, so use a glyph w/o the oval. + // TODO: When font glyphs are available, delete this code. + stash = group.name.slice(1); + group.name = stash === "oiint" ? "\\iint" : "\\iiint"; + } + + base = buildCommon.makeSymbol(group.name, fontName, "math", options, ["mop", "op-symbol", large ? "large-op" : "small-op"]); + + if (stash.length > 0) { + // We're in \oiint or \oiiint. Overlay the oval. + // TODO: When font glyphs are available, delete this code. + var italic = base.italic; + var oval = buildCommon.staticSvg(stash + "Size" + (large ? "2" : "1"), options); + base = buildCommon.makeVList({ + positionType: "individualShift", + children: [{ + type: "elem", + elem: base, + shift: 0 + }, { + type: "elem", + elem: oval, + shift: large ? 0.08 : 0 + }] + }, options); + group.name = "\\" + stash; + base.classes.unshift("mop"); // $FlowFixMe + + base.italic = italic; + } + } else if (group.body) { + // If this is a list, compose that list. + var inner = buildExpression(group.body, options, true); + + if (inner.length === 1 && inner[0] instanceof SymbolNode) { + base = inner[0]; + base.classes[0] = "mop"; // replace old mclass + } else { + base = buildCommon.makeSpan(["mop"], inner, options); + } + } else { + // Otherwise, this is a text operator. Build the text from the + // operator's name. + var output = []; + + for (var i = 1; i < group.name.length; i++) { + output.push(buildCommon.mathsym(group.name[i], group.mode, options)); + } + + base = buildCommon.makeSpan(["mop"], output, options); + } // If content of op is a single symbol, shift it vertically. + + + var baseShift = 0; + var slant = 0; + + if ((base instanceof SymbolNode || group.name === "\\oiint" || group.name === "\\oiiint") && !group.suppressBaseShift) { + // We suppress the shift of the base of \overset and \underset. Otherwise, + // shift the symbol so its center lies on the axis (rule 13). It + // appears that our fonts have the centers of the symbols already + // almost on the axis, so these numbers are very small. Note we + // don't actually apply this here, but instead it is used either in + // the vlist creation or separately when there are no limits. + baseShift = (base.height - base.depth) / 2 - options.fontMetrics().axisHeight; // The slant of the symbol is just its italic correction. + // $FlowFixMe + + slant = base.italic; + } + + if (hasLimits) { + return assembleSupSub(base, supGroup, subGroup, options, style, slant, baseShift); + } else { + if (baseShift) { + base.style.position = "relative"; + base.style.top = makeEm(baseShift); + } + + return base; + } +}; + +var op_mathmlBuilder = function mathmlBuilder(group, options) { + var node; + + if (group.symbol) { + // This is a symbol. Just add the symbol. + node = new MathNode("mo", [makeText(group.name, group.mode)]); + + if (utils.contains(noSuccessor, group.name)) { + node.setAttribute("largeop", "false"); + } + } else if (group.body) { + // This is an operator with children. Add them. + node = new MathNode("mo", buildMathML_buildExpression(group.body, options)); + } else { + // This is a text operator. Add all of the characters from the + // operator's name. + node = new MathNode("mi", [new TextNode(group.name.slice(1))]); // Append an . + // ref: https://www.w3.org/TR/REC-MathML/chap3_2.html#sec3.2.4 + + var operator = new MathNode("mo", [makeText("\u2061", "text")]); + + if (group.parentIsSupSub) { + node = new MathNode("mrow", [node, operator]); + } else { + node = newDocumentFragment([node, operator]); + } + } + + return node; +}; + +var singleCharBigOps = { + "\u220F": "\\prod", + "\u2210": "\\coprod", + "\u2211": "\\sum", + "\u22C0": "\\bigwedge", + "\u22C1": "\\bigvee", + "\u22C2": "\\bigcap", + "\u22C3": "\\bigcup", + "\u2A00": "\\bigodot", + "\u2A01": "\\bigoplus", + "\u2A02": "\\bigotimes", + "\u2A04": "\\biguplus", + "\u2A06": "\\bigsqcup" +}; +defineFunction({ + type: "op", + names: ["\\coprod", "\\bigvee", "\\bigwedge", "\\biguplus", "\\bigcap", "\\bigcup", "\\intop", "\\prod", "\\sum", "\\bigotimes", "\\bigoplus", "\\bigodot", "\\bigsqcup", "\\smallint", "\u220F", "\u2210", "\u2211", "\u22C0", "\u22C1", "\u22C2", "\u22C3", "\u2A00", "\u2A01", "\u2A02", "\u2A04", "\u2A06"], + props: { + numArgs: 0 + }, + handler: function handler(_ref, args) { + var parser = _ref.parser, + funcName = _ref.funcName; + var fName = funcName; + + if (fName.length === 1) { + fName = singleCharBigOps[fName]; + } + + return { + type: "op", + mode: parser.mode, + limits: true, + parentIsSupSub: false, + symbol: true, + name: fName + }; + }, + htmlBuilder: op_htmlBuilder, + mathmlBuilder: op_mathmlBuilder +}); // Note: calling defineFunction with a type that's already been defined only +// works because the same htmlBuilder and mathmlBuilder are being used. + +defineFunction({ + type: "op", + names: ["\\mathop"], + props: { + numArgs: 1, + primitive: true + }, + handler: function handler(_ref2, args) { + var parser = _ref2.parser; + var body = args[0]; + return { + type: "op", + mode: parser.mode, + limits: false, + parentIsSupSub: false, + symbol: false, + body: ordargument(body) + }; + }, + htmlBuilder: op_htmlBuilder, + mathmlBuilder: op_mathmlBuilder +}); // There are 2 flags for operators; whether they produce limits in +// displaystyle, and whether they are symbols and should grow in +// displaystyle. These four groups cover the four possible choices. + +var singleCharIntegrals = { + "\u222B": "\\int", + "\u222C": "\\iint", + "\u222D": "\\iiint", + "\u222E": "\\oint", + "\u222F": "\\oiint", + "\u2230": "\\oiiint" +}; // No limits, not symbols + +defineFunction({ + type: "op", + names: ["\\arcsin", "\\arccos", "\\arctan", "\\arctg", "\\arcctg", "\\arg", "\\ch", "\\cos", "\\cosec", "\\cosh", "\\cot", "\\cotg", "\\coth", "\\csc", "\\ctg", "\\cth", "\\deg", "\\dim", "\\exp", "\\hom", "\\ker", "\\lg", "\\ln", "\\log", "\\sec", "\\sin", "\\sinh", "\\sh", "\\tan", "\\tanh", "\\tg", "\\th"], + props: { + numArgs: 0 + }, + handler: function handler(_ref3) { + var parser = _ref3.parser, + funcName = _ref3.funcName; + return { + type: "op", + mode: parser.mode, + limits: false, + parentIsSupSub: false, + symbol: false, + name: funcName + }; + }, + htmlBuilder: op_htmlBuilder, + mathmlBuilder: op_mathmlBuilder +}); // Limits, not symbols + +defineFunction({ + type: "op", + names: ["\\det", "\\gcd", "\\inf", "\\lim", "\\max", "\\min", "\\Pr", "\\sup"], + props: { + numArgs: 0 + }, + handler: function handler(_ref4) { + var parser = _ref4.parser, + funcName = _ref4.funcName; + return { + type: "op", + mode: parser.mode, + limits: true, + parentIsSupSub: false, + symbol: false, + name: funcName + }; + }, + htmlBuilder: op_htmlBuilder, + mathmlBuilder: op_mathmlBuilder +}); // No limits, symbols + +defineFunction({ + type: "op", + names: ["\\int", "\\iint", "\\iiint", "\\oint", "\\oiint", "\\oiiint", "\u222B", "\u222C", "\u222D", "\u222E", "\u222F", "\u2230"], + props: { + numArgs: 0 + }, + handler: function handler(_ref5) { + var parser = _ref5.parser, + funcName = _ref5.funcName; + var fName = funcName; + + if (fName.length === 1) { + fName = singleCharIntegrals[fName]; + } + + return { + type: "op", + mode: parser.mode, + limits: false, + parentIsSupSub: false, + symbol: true, + name: fName + }; + }, + htmlBuilder: op_htmlBuilder, + mathmlBuilder: op_mathmlBuilder +}); +;// CONCATENATED MODULE: ./src/functions/operatorname.js + + + + + + + + + +// NOTE: Unlike most `htmlBuilder`s, this one handles not only +// "operatorname", but also "supsub" since \operatorname* can +// affect super/subscripting. +var operatorname_htmlBuilder = function htmlBuilder(grp, options) { + // Operators are handled in the TeXbook pg. 443-444, rule 13(a). + var supGroup; + var subGroup; + var hasLimits = false; + var group; + + if (grp.type === "supsub") { + // If we have limits, supsub will pass us its group to handle. Pull + // out the superscript and subscript and set the group to the op in + // its base. + supGroup = grp.sup; + subGroup = grp.sub; + group = assertNodeType(grp.base, "operatorname"); + hasLimits = true; + } else { + group = assertNodeType(grp, "operatorname"); + } + + var base; + + if (group.body.length > 0) { + var body = group.body.map(function (child) { + // $FlowFixMe: Check if the node has a string `text` property. + var childText = child.text; + + if (typeof childText === "string") { + return { + type: "textord", + mode: child.mode, + text: childText + }; + } else { + return child; + } + }); // Consolidate function names into symbol characters. + + var expression = buildExpression(body, options.withFont("mathrm"), true); + + for (var i = 0; i < expression.length; i++) { + var child = expression[i]; + + if (child instanceof SymbolNode) { + // Per amsopn package, + // change minus to hyphen and \ast to asterisk + child.text = child.text.replace(/\u2212/, "-").replace(/\u2217/, "*"); + } + } + + base = buildCommon.makeSpan(["mop"], expression, options); + } else { + base = buildCommon.makeSpan(["mop"], [], options); + } + + if (hasLimits) { + return assembleSupSub(base, supGroup, subGroup, options, options.style, 0, 0); + } else { + return base; + } +}; + +var operatorname_mathmlBuilder = function mathmlBuilder(group, options) { + // The steps taken here are similar to the html version. + var expression = buildMathML_buildExpression(group.body, options.withFont("mathrm")); // Is expression a string or has it something like a fraction? + + var isAllString = true; // default + + for (var i = 0; i < expression.length; i++) { + var node = expression[i]; + + if (node instanceof mathMLTree.SpaceNode) {// Do nothing + } else if (node instanceof mathMLTree.MathNode) { + switch (node.type) { + case "mi": + case "mn": + case "ms": + case "mspace": + case "mtext": + break; + // Do nothing yet. + + case "mo": + { + var child = node.children[0]; + + if (node.children.length === 1 && child instanceof mathMLTree.TextNode) { + child.text = child.text.replace(/\u2212/, "-").replace(/\u2217/, "*"); + } else { + isAllString = false; + } + + break; + } + + default: + isAllString = false; + } + } else { + isAllString = false; + } + } + + if (isAllString) { + // Write a single TextNode instead of multiple nested tags. + var word = expression.map(function (node) { + return node.toText(); + }).join(""); + expression = [new mathMLTree.TextNode(word)]; + } + + var identifier = new mathMLTree.MathNode("mi", expression); + identifier.setAttribute("mathvariant", "normal"); // \u2061 is the same as ⁡ + // ref: https://www.w3schools.com/charsets/ref_html_entities_a.asp + + var operator = new mathMLTree.MathNode("mo", [makeText("\u2061", "text")]); + + if (group.parentIsSupSub) { + return new mathMLTree.MathNode("mrow", [identifier, operator]); + } else { + return mathMLTree.newDocumentFragment([identifier, operator]); + } +}; // \operatorname +// amsopn.dtx: \mathop{#1\kern\z@\operator@font#3}\newmcodes@ + + +defineFunction({ + type: "operatorname", + names: ["\\operatorname@", "\\operatornamewithlimits"], + props: { + numArgs: 1 + }, + handler: function handler(_ref, args) { + var parser = _ref.parser, + funcName = _ref.funcName; + var body = args[0]; + return { + type: "operatorname", + mode: parser.mode, + body: ordargument(body), + alwaysHandleSupSub: funcName === "\\operatornamewithlimits", + limits: false, + parentIsSupSub: false + }; + }, + htmlBuilder: operatorname_htmlBuilder, + mathmlBuilder: operatorname_mathmlBuilder +}); +defineMacro("\\operatorname", "\\@ifstar\\operatornamewithlimits\\operatorname@"); +;// CONCATENATED MODULE: ./src/functions/ordgroup.js + + + + +defineFunctionBuilders({ + type: "ordgroup", + htmlBuilder: function htmlBuilder(group, options) { + if (group.semisimple) { + return buildCommon.makeFragment(buildExpression(group.body, options, false)); + } + + return buildCommon.makeSpan(["mord"], buildExpression(group.body, options, true), options); + }, + mathmlBuilder: function mathmlBuilder(group, options) { + return buildExpressionRow(group.body, options, true); + } +}); +;// CONCATENATED MODULE: ./src/functions/overline.js + + + + + +defineFunction({ + type: "overline", + names: ["\\overline"], + props: { + numArgs: 1 + }, + handler: function handler(_ref, args) { + var parser = _ref.parser; + var body = args[0]; + return { + type: "overline", + mode: parser.mode, + body: body + }; + }, + htmlBuilder: function htmlBuilder(group, options) { + // Overlines are handled in the TeXbook pg 443, Rule 9. + // Build the inner group in the cramped style. + var innerGroup = buildGroup(group.body, options.havingCrampedStyle()); // Create the line above the body + + var line = buildCommon.makeLineSpan("overline-line", options); // Generate the vlist, with the appropriate kerns + + var defaultRuleThickness = options.fontMetrics().defaultRuleThickness; + var vlist = buildCommon.makeVList({ + positionType: "firstBaseline", + children: [{ + type: "elem", + elem: innerGroup + }, { + type: "kern", + size: 3 * defaultRuleThickness + }, { + type: "elem", + elem: line + }, { + type: "kern", + size: defaultRuleThickness + }] + }, options); + return buildCommon.makeSpan(["mord", "overline"], [vlist], options); + }, + mathmlBuilder: function mathmlBuilder(group, options) { + var operator = new mathMLTree.MathNode("mo", [new mathMLTree.TextNode("\u203E")]); + operator.setAttribute("stretchy", "true"); + var node = new mathMLTree.MathNode("mover", [buildMathML_buildGroup(group.body, options), operator]); + node.setAttribute("accent", "true"); + return node; + } +}); +;// CONCATENATED MODULE: ./src/functions/phantom.js + + + + + +defineFunction({ + type: "phantom", + names: ["\\phantom"], + props: { + numArgs: 1, + allowedInText: true + }, + handler: function handler(_ref, args) { + var parser = _ref.parser; + var body = args[0]; + return { + type: "phantom", + mode: parser.mode, + body: ordargument(body) + }; + }, + htmlBuilder: function htmlBuilder(group, options) { + var elements = buildExpression(group.body, options.withPhantom(), false); // \phantom isn't supposed to affect the elements it contains. + // See "color" for more details. + + return buildCommon.makeFragment(elements); + }, + mathmlBuilder: function mathmlBuilder(group, options) { + var inner = buildMathML_buildExpression(group.body, options); + return new mathMLTree.MathNode("mphantom", inner); + } +}); +defineFunction({ + type: "hphantom", + names: ["\\hphantom"], + props: { + numArgs: 1, + allowedInText: true + }, + handler: function handler(_ref2, args) { + var parser = _ref2.parser; + var body = args[0]; + return { + type: "hphantom", + mode: parser.mode, + body: body + }; + }, + htmlBuilder: function htmlBuilder(group, options) { + var node = buildCommon.makeSpan([], [buildGroup(group.body, options.withPhantom())]); + node.height = 0; + node.depth = 0; + + if (node.children) { + for (var i = 0; i < node.children.length; i++) { + node.children[i].height = 0; + node.children[i].depth = 0; + } + } // See smash for comment re: use of makeVList + + + node = buildCommon.makeVList({ + positionType: "firstBaseline", + children: [{ + type: "elem", + elem: node + }] + }, options); // For spacing, TeX treats \smash as a math group (same spacing as ord). + + return buildCommon.makeSpan(["mord"], [node], options); + }, + mathmlBuilder: function mathmlBuilder(group, options) { + var inner = buildMathML_buildExpression(ordargument(group.body), options); + var phantom = new mathMLTree.MathNode("mphantom", inner); + var node = new mathMLTree.MathNode("mpadded", [phantom]); + node.setAttribute("height", "0px"); + node.setAttribute("depth", "0px"); + return node; + } +}); +defineFunction({ + type: "vphantom", + names: ["\\vphantom"], + props: { + numArgs: 1, + allowedInText: true + }, + handler: function handler(_ref3, args) { + var parser = _ref3.parser; + var body = args[0]; + return { + type: "vphantom", + mode: parser.mode, + body: body + }; + }, + htmlBuilder: function htmlBuilder(group, options) { + var inner = buildCommon.makeSpan(["inner"], [buildGroup(group.body, options.withPhantom())]); + var fix = buildCommon.makeSpan(["fix"], []); + return buildCommon.makeSpan(["mord", "rlap"], [inner, fix], options); + }, + mathmlBuilder: function mathmlBuilder(group, options) { + var inner = buildMathML_buildExpression(ordargument(group.body), options); + var phantom = new mathMLTree.MathNode("mphantom", inner); + var node = new mathMLTree.MathNode("mpadded", [phantom]); + node.setAttribute("width", "0px"); + return node; + } +}); +;// CONCATENATED MODULE: ./src/functions/raisebox.js + + + + + + + // Box manipulation + +defineFunction({ + type: "raisebox", + names: ["\\raisebox"], + props: { + numArgs: 2, + argTypes: ["size", "hbox"], + allowedInText: true + }, + handler: function handler(_ref, args) { + var parser = _ref.parser; + var amount = assertNodeType(args[0], "size").value; + var body = args[1]; + return { + type: "raisebox", + mode: parser.mode, + dy: amount, + body: body + }; + }, + htmlBuilder: function htmlBuilder(group, options) { + var body = buildGroup(group.body, options); + var dy = calculateSize(group.dy, options); + return buildCommon.makeVList({ + positionType: "shift", + positionData: -dy, + children: [{ + type: "elem", + elem: body + }] + }, options); + }, + mathmlBuilder: function mathmlBuilder(group, options) { + var node = new mathMLTree.MathNode("mpadded", [buildMathML_buildGroup(group.body, options)]); + var dy = group.dy.number + group.dy.unit; + node.setAttribute("voffset", dy); + return node; + } +}); +;// CONCATENATED MODULE: ./src/functions/relax.js + +defineFunction({ + type: "internal", + names: ["\\relax"], + props: { + numArgs: 0, + allowedInText: true + }, + handler: function handler(_ref) { + var parser = _ref.parser; + return { + type: "internal", + mode: parser.mode + }; + } +}); +;// CONCATENATED MODULE: ./src/functions/rule.js + + + + + +defineFunction({ + type: "rule", + names: ["\\rule"], + props: { + numArgs: 2, + numOptionalArgs: 1, + argTypes: ["size", "size", "size"] + }, + handler: function handler(_ref, args, optArgs) { + var parser = _ref.parser; + var shift = optArgs[0]; + var width = assertNodeType(args[0], "size"); + var height = assertNodeType(args[1], "size"); + return { + type: "rule", + mode: parser.mode, + shift: shift && assertNodeType(shift, "size").value, + width: width.value, + height: height.value + }; + }, + htmlBuilder: function htmlBuilder(group, options) { + // Make an empty span for the rule + var rule = buildCommon.makeSpan(["mord", "rule"], [], options); // Calculate the shift, width, and height of the rule, and account for units + + var width = calculateSize(group.width, options); + var height = calculateSize(group.height, options); + var shift = group.shift ? calculateSize(group.shift, options) : 0; // Style the rule to the right size + + rule.style.borderRightWidth = makeEm(width); + rule.style.borderTopWidth = makeEm(height); + rule.style.bottom = makeEm(shift); // Record the height and width + + rule.width = width; + rule.height = height + shift; + rule.depth = -shift; // Font size is the number large enough that the browser will + // reserve at least `absHeight` space above the baseline. + // The 1.125 factor was empirically determined + + rule.maxFontSize = height * 1.125 * options.sizeMultiplier; + return rule; + }, + mathmlBuilder: function mathmlBuilder(group, options) { + var width = calculateSize(group.width, options); + var height = calculateSize(group.height, options); + var shift = group.shift ? calculateSize(group.shift, options) : 0; + var color = options.color && options.getColor() || "black"; + var rule = new mathMLTree.MathNode("mspace"); + rule.setAttribute("mathbackground", color); + rule.setAttribute("width", makeEm(width)); + rule.setAttribute("height", makeEm(height)); + var wrapper = new mathMLTree.MathNode("mpadded", [rule]); + + if (shift >= 0) { + wrapper.setAttribute("height", makeEm(shift)); + } else { + wrapper.setAttribute("height", makeEm(shift)); + wrapper.setAttribute("depth", makeEm(-shift)); + } + + wrapper.setAttribute("voffset", makeEm(shift)); + return wrapper; + } +}); +;// CONCATENATED MODULE: ./src/functions/sizing.js + + + + + + +function sizingGroup(value, options, baseOptions) { + var inner = buildExpression(value, options, false); + var multiplier = options.sizeMultiplier / baseOptions.sizeMultiplier; // Add size-resetting classes to the inner list and set maxFontSize + // manually. Handle nested size changes. + + for (var i = 0; i < inner.length; i++) { + var pos = inner[i].classes.indexOf("sizing"); + + if (pos < 0) { + Array.prototype.push.apply(inner[i].classes, options.sizingClasses(baseOptions)); + } else if (inner[i].classes[pos + 1] === "reset-size" + options.size) { + // This is a nested size change: e.g., inner[i] is the "b" in + // `\Huge a \small b`. Override the old size (the `reset-` class) + // but not the new size. + inner[i].classes[pos + 1] = "reset-size" + baseOptions.size; + } + + inner[i].height *= multiplier; + inner[i].depth *= multiplier; + } + + return buildCommon.makeFragment(inner); +} +var sizeFuncs = ["\\tiny", "\\sixptsize", "\\scriptsize", "\\footnotesize", "\\small", "\\normalsize", "\\large", "\\Large", "\\LARGE", "\\huge", "\\Huge"]; +var sizing_htmlBuilder = function htmlBuilder(group, options) { + // Handle sizing operators like \Huge. Real TeX doesn't actually allow + // these functions inside of math expressions, so we do some special + // handling. + var newOptions = options.havingSize(group.size); + return sizingGroup(group.body, newOptions, options); +}; +defineFunction({ + type: "sizing", + names: sizeFuncs, + props: { + numArgs: 0, + allowedInText: true + }, + handler: function handler(_ref, args) { + var breakOnTokenText = _ref.breakOnTokenText, + funcName = _ref.funcName, + parser = _ref.parser; + var body = parser.parseExpression(false, breakOnTokenText); + return { + type: "sizing", + mode: parser.mode, + // Figure out what size to use based on the list of functions above + size: sizeFuncs.indexOf(funcName) + 1, + body: body + }; + }, + htmlBuilder: sizing_htmlBuilder, + mathmlBuilder: function mathmlBuilder(group, options) { + var newOptions = options.havingSize(group.size); + var inner = buildMathML_buildExpression(group.body, newOptions); + var node = new mathMLTree.MathNode("mstyle", inner); // TODO(emily): This doesn't produce the correct size for nested size + // changes, because we don't keep state of what style we're currently + // in, so we can't reset the size to normal before changing it. Now + // that we're passing an options parameter we should be able to fix + // this. + + node.setAttribute("mathsize", makeEm(newOptions.sizeMultiplier)); + return node; + } +}); +;// CONCATENATED MODULE: ./src/functions/smash.js +// smash, with optional [tb], as in AMS + + + + + + +defineFunction({ + type: "smash", + names: ["\\smash"], + props: { + numArgs: 1, + numOptionalArgs: 1, + allowedInText: true + }, + handler: function handler(_ref, args, optArgs) { + var parser = _ref.parser; + var smashHeight = false; + var smashDepth = false; + var tbArg = optArgs[0] && assertNodeType(optArgs[0], "ordgroup"); + + if (tbArg) { + // Optional [tb] argument is engaged. + // ref: amsmath: \renewcommand{\smash}[1][tb]{% + // def\mb@t{\ht}\def\mb@b{\dp}\def\mb@tb{\ht\z@\z@\dp}% + var letter = ""; + + for (var i = 0; i < tbArg.body.length; ++i) { + var node = tbArg.body[i]; // $FlowFixMe: Not every node type has a `text` property. + + letter = node.text; + + if (letter === "t") { + smashHeight = true; + } else if (letter === "b") { + smashDepth = true; + } else { + smashHeight = false; + smashDepth = false; + break; + } + } + } else { + smashHeight = true; + smashDepth = true; + } + + var body = args[0]; + return { + type: "smash", + mode: parser.mode, + body: body, + smashHeight: smashHeight, + smashDepth: smashDepth + }; + }, + htmlBuilder: function htmlBuilder(group, options) { + var node = buildCommon.makeSpan([], [buildGroup(group.body, options)]); + + if (!group.smashHeight && !group.smashDepth) { + return node; + } + + if (group.smashHeight) { + node.height = 0; // In order to influence makeVList, we have to reset the children. + + if (node.children) { + for (var i = 0; i < node.children.length; i++) { + node.children[i].height = 0; + } + } + } + + if (group.smashDepth) { + node.depth = 0; + + if (node.children) { + for (var _i = 0; _i < node.children.length; _i++) { + node.children[_i].depth = 0; + } + } + } // At this point, we've reset the TeX-like height and depth values. + // But the span still has an HTML line height. + // makeVList applies "display: table-cell", which prevents the browser + // from acting on that line height. So we'll call makeVList now. + + + var smashedNode = buildCommon.makeVList({ + positionType: "firstBaseline", + children: [{ + type: "elem", + elem: node + }] + }, options); // For spacing, TeX treats \hphantom as a math group (same spacing as ord). + + return buildCommon.makeSpan(["mord"], [smashedNode], options); + }, + mathmlBuilder: function mathmlBuilder(group, options) { + var node = new mathMLTree.MathNode("mpadded", [buildMathML_buildGroup(group.body, options)]); + + if (group.smashHeight) { + node.setAttribute("height", "0px"); + } + + if (group.smashDepth) { + node.setAttribute("depth", "0px"); + } + + return node; + } +}); +;// CONCATENATED MODULE: ./src/functions/sqrt.js + + + + + + + + +defineFunction({ + type: "sqrt", + names: ["\\sqrt"], + props: { + numArgs: 1, + numOptionalArgs: 1 + }, + handler: function handler(_ref, args, optArgs) { + var parser = _ref.parser; + var index = optArgs[0]; + var body = args[0]; + return { + type: "sqrt", + mode: parser.mode, + body: body, + index: index + }; + }, + htmlBuilder: function htmlBuilder(group, options) { + // Square roots are handled in the TeXbook pg. 443, Rule 11. + // First, we do the same steps as in overline to build the inner group + // and line + var inner = buildGroup(group.body, options.havingCrampedStyle()); + + if (inner.height === 0) { + // Render a small surd. + inner.height = options.fontMetrics().xHeight; + } // Some groups can return document fragments. Handle those by wrapping + // them in a span. + + + inner = buildCommon.wrapFragment(inner, options); // Calculate the minimum size for the \surd delimiter + + var metrics = options.fontMetrics(); + var theta = metrics.defaultRuleThickness; + var phi = theta; + + if (options.style.id < src_Style.TEXT.id) { + phi = options.fontMetrics().xHeight; + } // Calculate the clearance between the body and line + + + var lineClearance = theta + phi / 4; + var minDelimiterHeight = inner.height + inner.depth + lineClearance + theta; // Create a sqrt SVG of the required minimum size + + var _delimiter$sqrtImage = delimiter.sqrtImage(minDelimiterHeight, options), + img = _delimiter$sqrtImage.span, + ruleWidth = _delimiter$sqrtImage.ruleWidth, + advanceWidth = _delimiter$sqrtImage.advanceWidth; + + var delimDepth = img.height - ruleWidth; // Adjust the clearance based on the delimiter size + + if (delimDepth > inner.height + inner.depth + lineClearance) { + lineClearance = (lineClearance + delimDepth - inner.height - inner.depth) / 2; + } // Shift the sqrt image + + + var imgShift = img.height - inner.height - lineClearance - ruleWidth; + inner.style.paddingLeft = makeEm(advanceWidth); // Overlay the image and the argument. + + var body = buildCommon.makeVList({ + positionType: "firstBaseline", + children: [{ + type: "elem", + elem: inner, + wrapperClasses: ["svg-align"] + }, { + type: "kern", + size: -(inner.height + imgShift) + }, { + type: "elem", + elem: img + }, { + type: "kern", + size: ruleWidth + }] + }, options); + + if (!group.index) { + return buildCommon.makeSpan(["mord", "sqrt"], [body], options); + } else { + // Handle the optional root index + // The index is always in scriptscript style + var newOptions = options.havingStyle(src_Style.SCRIPTSCRIPT); + var rootm = buildGroup(group.index, newOptions, options); // The amount the index is shifted by. This is taken from the TeX + // source, in the definition of `\r@@t`. + + var toShift = 0.6 * (body.height - body.depth); // Build a VList with the superscript shifted up correctly + + var rootVList = buildCommon.makeVList({ + positionType: "shift", + positionData: -toShift, + children: [{ + type: "elem", + elem: rootm + }] + }, options); // Add a class surrounding it so we can add on the appropriate + // kerning + + var rootVListWrap = buildCommon.makeSpan(["root"], [rootVList]); + return buildCommon.makeSpan(["mord", "sqrt"], [rootVListWrap, body], options); + } + }, + mathmlBuilder: function mathmlBuilder(group, options) { + var body = group.body, + index = group.index; + return index ? new mathMLTree.MathNode("mroot", [buildMathML_buildGroup(body, options), buildMathML_buildGroup(index, options)]) : new mathMLTree.MathNode("msqrt", [buildMathML_buildGroup(body, options)]); + } +}); +;// CONCATENATED MODULE: ./src/functions/styling.js + + + + + +var styling_styleMap = { + "display": src_Style.DISPLAY, + "text": src_Style.TEXT, + "script": src_Style.SCRIPT, + "scriptscript": src_Style.SCRIPTSCRIPT +}; +defineFunction({ + type: "styling", + names: ["\\displaystyle", "\\textstyle", "\\scriptstyle", "\\scriptscriptstyle"], + props: { + numArgs: 0, + allowedInText: true, + primitive: true + }, + handler: function handler(_ref, args) { + var breakOnTokenText = _ref.breakOnTokenText, + funcName = _ref.funcName, + parser = _ref.parser; + // parse out the implicit body + var body = parser.parseExpression(true, breakOnTokenText); // TODO: Refactor to avoid duplicating styleMap in multiple places (e.g. + // here and in buildHTML and de-dupe the enumeration of all the styles). + // $FlowFixMe: The names above exactly match the styles. + + var style = funcName.slice(1, funcName.length - 5); + return { + type: "styling", + mode: parser.mode, + // Figure out what style to use by pulling out the style from + // the function name + style: style, + body: body + }; + }, + htmlBuilder: function htmlBuilder(group, options) { + // Style changes are handled in the TeXbook on pg. 442, Rule 3. + var newStyle = styling_styleMap[group.style]; + var newOptions = options.havingStyle(newStyle).withFont(''); + return sizingGroup(group.body, newOptions, options); + }, + mathmlBuilder: function mathmlBuilder(group, options) { + // Figure out what style we're changing to. + var newStyle = styling_styleMap[group.style]; + var newOptions = options.havingStyle(newStyle); + var inner = buildMathML_buildExpression(group.body, newOptions); + var node = new mathMLTree.MathNode("mstyle", inner); + var styleAttributes = { + "display": ["0", "true"], + "text": ["0", "false"], + "script": ["1", "false"], + "scriptscript": ["2", "false"] + }; + var attr = styleAttributes[group.style]; + node.setAttribute("scriptlevel", attr[0]); + node.setAttribute("displaystyle", attr[1]); + return node; + } +}); +;// CONCATENATED MODULE: ./src/functions/supsub.js + + + + + + + + + + + + + + +/** + * Sometimes, groups perform special rules when they have superscripts or + * subscripts attached to them. This function lets the `supsub` group know that + * Sometimes, groups perform special rules when they have superscripts or + * its inner element should handle the superscripts and subscripts instead of + * handling them itself. + */ +var htmlBuilderDelegate = function htmlBuilderDelegate(group, options) { + var base = group.base; + + if (!base) { + return null; + } else if (base.type === "op") { + // Operators handle supsubs differently when they have limits + // (e.g. `\displaystyle\sum_2^3`) + var delegate = base.limits && (options.style.size === src_Style.DISPLAY.size || base.alwaysHandleSupSub); + return delegate ? op_htmlBuilder : null; + } else if (base.type === "operatorname") { + var _delegate = base.alwaysHandleSupSub && (options.style.size === src_Style.DISPLAY.size || base.limits); + + return _delegate ? operatorname_htmlBuilder : null; + } else if (base.type === "accent") { + return utils.isCharacterBox(base.base) ? htmlBuilder : null; + } else if (base.type === "horizBrace") { + var isSup = !group.sub; + return isSup === base.isOver ? horizBrace_htmlBuilder : null; + } else { + return null; + } +}; // Super scripts and subscripts, whose precise placement can depend on other +// functions that precede them. + + +defineFunctionBuilders({ + type: "supsub", + htmlBuilder: function htmlBuilder(group, options) { + // Superscript and subscripts are handled in the TeXbook on page + // 445-446, rules 18(a-f). + // Here is where we defer to the inner group if it should handle + // superscripts and subscripts itself. + var builderDelegate = htmlBuilderDelegate(group, options); + + if (builderDelegate) { + return builderDelegate(group, options); + } + + var valueBase = group.base, + valueSup = group.sup, + valueSub = group.sub; + var base = buildGroup(valueBase, options); + var supm; + var subm; + var metrics = options.fontMetrics(); // Rule 18a + + var supShift = 0; + var subShift = 0; + var isCharacterBox = valueBase && utils.isCharacterBox(valueBase); + + if (valueSup) { + var newOptions = options.havingStyle(options.style.sup()); + supm = buildGroup(valueSup, newOptions, options); + + if (!isCharacterBox) { + supShift = base.height - newOptions.fontMetrics().supDrop * newOptions.sizeMultiplier / options.sizeMultiplier; + } + } + + if (valueSub) { + var _newOptions = options.havingStyle(options.style.sub()); + + subm = buildGroup(valueSub, _newOptions, options); + + if (!isCharacterBox) { + subShift = base.depth + _newOptions.fontMetrics().subDrop * _newOptions.sizeMultiplier / options.sizeMultiplier; + } + } // Rule 18c + + + var minSupShift; + + if (options.style === src_Style.DISPLAY) { + minSupShift = metrics.sup1; + } else if (options.style.cramped) { + minSupShift = metrics.sup3; + } else { + minSupShift = metrics.sup2; + } // scriptspace is a font-size-independent size, so scale it + // appropriately for use as the marginRight. + + + var multiplier = options.sizeMultiplier; + var marginRight = makeEm(0.5 / metrics.ptPerEm / multiplier); + var marginLeft = null; + + if (subm) { + // Subscripts shouldn't be shifted by the base's italic correction. + // Account for that by shifting the subscript back the appropriate + // amount. Note we only do this when the base is a single symbol. + var isOiint = group.base && group.base.type === "op" && group.base.name && (group.base.name === "\\oiint" || group.base.name === "\\oiiint"); + + if (base instanceof SymbolNode || isOiint) { + // $FlowFixMe + marginLeft = makeEm(-base.italic); + } + } + + var supsub; + + if (supm && subm) { + supShift = Math.max(supShift, minSupShift, supm.depth + 0.25 * metrics.xHeight); + subShift = Math.max(subShift, metrics.sub2); + var ruleWidth = metrics.defaultRuleThickness; // Rule 18e + + var maxWidth = 4 * ruleWidth; + + if (supShift - supm.depth - (subm.height - subShift) < maxWidth) { + subShift = maxWidth - (supShift - supm.depth) + subm.height; + var psi = 0.8 * metrics.xHeight - (supShift - supm.depth); + + if (psi > 0) { + supShift += psi; + subShift -= psi; + } + } + + var vlistElem = [{ + type: "elem", + elem: subm, + shift: subShift, + marginRight: marginRight, + marginLeft: marginLeft + }, { + type: "elem", + elem: supm, + shift: -supShift, + marginRight: marginRight + }]; + supsub = buildCommon.makeVList({ + positionType: "individualShift", + children: vlistElem + }, options); + } else if (subm) { + // Rule 18b + subShift = Math.max(subShift, metrics.sub1, subm.height - 0.8 * metrics.xHeight); + var _vlistElem = [{ + type: "elem", + elem: subm, + marginLeft: marginLeft, + marginRight: marginRight + }]; + supsub = buildCommon.makeVList({ + positionType: "shift", + positionData: subShift, + children: _vlistElem + }, options); + } else if (supm) { + // Rule 18c, d + supShift = Math.max(supShift, minSupShift, supm.depth + 0.25 * metrics.xHeight); + supsub = buildCommon.makeVList({ + positionType: "shift", + positionData: -supShift, + children: [{ + type: "elem", + elem: supm, + marginRight: marginRight + }] + }, options); + } else { + throw new Error("supsub must have either sup or sub."); + } // Wrap the supsub vlist in a span.msupsub to reset text-align. + + + var mclass = getTypeOfDomTree(base, "right") || "mord"; + return buildCommon.makeSpan([mclass], [base, buildCommon.makeSpan(["msupsub"], [supsub])], options); + }, + mathmlBuilder: function mathmlBuilder(group, options) { + // Is the inner group a relevant horizonal brace? + var isBrace = false; + var isOver; + var isSup; + + if (group.base && group.base.type === "horizBrace") { + isSup = !!group.sup; + + if (isSup === group.base.isOver) { + isBrace = true; + isOver = group.base.isOver; + } + } + + if (group.base && (group.base.type === "op" || group.base.type === "operatorname")) { + group.base.parentIsSupSub = true; + } + + var children = [buildMathML_buildGroup(group.base, options)]; + + if (group.sub) { + children.push(buildMathML_buildGroup(group.sub, options)); + } + + if (group.sup) { + children.push(buildMathML_buildGroup(group.sup, options)); + } + + var nodeType; + + if (isBrace) { + nodeType = isOver ? "mover" : "munder"; + } else if (!group.sub) { + var base = group.base; + + if (base && base.type === "op" && base.limits && (options.style === src_Style.DISPLAY || base.alwaysHandleSupSub)) { + nodeType = "mover"; + } else if (base && base.type === "operatorname" && base.alwaysHandleSupSub && (base.limits || options.style === src_Style.DISPLAY)) { + nodeType = "mover"; + } else { + nodeType = "msup"; + } + } else if (!group.sup) { + var _base = group.base; + + if (_base && _base.type === "op" && _base.limits && (options.style === src_Style.DISPLAY || _base.alwaysHandleSupSub)) { + nodeType = "munder"; + } else if (_base && _base.type === "operatorname" && _base.alwaysHandleSupSub && (_base.limits || options.style === src_Style.DISPLAY)) { + nodeType = "munder"; + } else { + nodeType = "msub"; + } + } else { + var _base2 = group.base; + + if (_base2 && _base2.type === "op" && _base2.limits && options.style === src_Style.DISPLAY) { + nodeType = "munderover"; + } else if (_base2 && _base2.type === "operatorname" && _base2.alwaysHandleSupSub && (options.style === src_Style.DISPLAY || _base2.limits)) { + nodeType = "munderover"; + } else { + nodeType = "msubsup"; + } + } + + return new mathMLTree.MathNode(nodeType, children); + } +}); +;// CONCATENATED MODULE: ./src/functions/symbolsOp.js + + + + // Operator ParseNodes created in Parser.js from symbol Groups in src/symbols.js. + +defineFunctionBuilders({ + type: "atom", + htmlBuilder: function htmlBuilder(group, options) { + return buildCommon.mathsym(group.text, group.mode, options, ["m" + group.family]); + }, + mathmlBuilder: function mathmlBuilder(group, options) { + var node = new mathMLTree.MathNode("mo", [makeText(group.text, group.mode)]); + + if (group.family === "bin") { + var variant = getVariant(group, options); + + if (variant === "bold-italic") { + node.setAttribute("mathvariant", variant); + } + } else if (group.family === "punct") { + node.setAttribute("separator", "true"); + } else if (group.family === "open" || group.family === "close") { + // Delims built here should not stretch vertically. + // See delimsizing.js for stretchy delims. + node.setAttribute("stretchy", "false"); + } + + return node; + } +}); +;// CONCATENATED MODULE: ./src/functions/symbolsOrd.js + + + + +// "mathord" and "textord" ParseNodes created in Parser.js from symbol Groups in +// src/symbols.js. +var defaultVariant = { + "mi": "italic", + "mn": "normal", + "mtext": "normal" +}; +defineFunctionBuilders({ + type: "mathord", + htmlBuilder: function htmlBuilder(group, options) { + return buildCommon.makeOrd(group, options, "mathord"); + }, + mathmlBuilder: function mathmlBuilder(group, options) { + var node = new mathMLTree.MathNode("mi", [makeText(group.text, group.mode, options)]); + var variant = getVariant(group, options) || "italic"; + + if (variant !== defaultVariant[node.type]) { + node.setAttribute("mathvariant", variant); + } + + return node; + } +}); +defineFunctionBuilders({ + type: "textord", + htmlBuilder: function htmlBuilder(group, options) { + return buildCommon.makeOrd(group, options, "textord"); + }, + mathmlBuilder: function mathmlBuilder(group, options) { + var text = makeText(group.text, group.mode, options); + var variant = getVariant(group, options) || "normal"; + var node; + + if (group.mode === 'text') { + node = new mathMLTree.MathNode("mtext", [text]); + } else if (/[0-9]/.test(group.text)) { + node = new mathMLTree.MathNode("mn", [text]); + } else if (group.text === "\\prime") { + node = new mathMLTree.MathNode("mo", [text]); + } else { + node = new mathMLTree.MathNode("mi", [text]); + } + + if (variant !== defaultVariant[node.type]) { + node.setAttribute("mathvariant", variant); + } + + return node; + } +}); +;// CONCATENATED MODULE: ./src/functions/symbolsSpacing.js + + + + // A map of CSS-based spacing functions to their CSS class. + +var cssSpace = { + "\\nobreak": "nobreak", + "\\allowbreak": "allowbreak" +}; // A lookup table to determine whether a spacing function/symbol should be +// treated like a regular space character. If a symbol or command is a key +// in this table, then it should be a regular space character. Furthermore, +// the associated value may have a `className` specifying an extra CSS class +// to add to the created `span`. + +var regularSpace = { + " ": {}, + "\\ ": {}, + "~": { + className: "nobreak" + }, + "\\space": {}, + "\\nobreakspace": { + className: "nobreak" + } +}; // ParseNode<"spacing"> created in Parser.js from the "spacing" symbol Groups in +// src/symbols.js. + +defineFunctionBuilders({ + type: "spacing", + htmlBuilder: function htmlBuilder(group, options) { + if (regularSpace.hasOwnProperty(group.text)) { + var className = regularSpace[group.text].className || ""; // Spaces are generated by adding an actual space. Each of these + // things has an entry in the symbols table, so these will be turned + // into appropriate outputs. + + if (group.mode === "text") { + var ord = buildCommon.makeOrd(group, options, "textord"); + ord.classes.push(className); + return ord; + } else { + return buildCommon.makeSpan(["mspace", className], [buildCommon.mathsym(group.text, group.mode, options)], options); + } + } else if (cssSpace.hasOwnProperty(group.text)) { + // Spaces based on just a CSS class. + return buildCommon.makeSpan(["mspace", cssSpace[group.text]], [], options); + } else { + throw new src_ParseError("Unknown type of space \"" + group.text + "\""); + } + }, + mathmlBuilder: function mathmlBuilder(group, options) { + var node; + + if (regularSpace.hasOwnProperty(group.text)) { + node = new mathMLTree.MathNode("mtext", [new mathMLTree.TextNode("\xA0")]); + } else if (cssSpace.hasOwnProperty(group.text)) { + // CSS-based MathML spaces (\nobreak, \allowbreak) are ignored + return new mathMLTree.MathNode("mspace"); + } else { + throw new src_ParseError("Unknown type of space \"" + group.text + "\""); + } + + return node; + } +}); +;// CONCATENATED MODULE: ./src/functions/tag.js + + + + +var pad = function pad() { + var padNode = new mathMLTree.MathNode("mtd", []); + padNode.setAttribute("width", "50%"); + return padNode; +}; + +defineFunctionBuilders({ + type: "tag", + mathmlBuilder: function mathmlBuilder(group, options) { + var table = new mathMLTree.MathNode("mtable", [new mathMLTree.MathNode("mtr", [pad(), new mathMLTree.MathNode("mtd", [buildExpressionRow(group.body, options)]), pad(), new mathMLTree.MathNode("mtd", [buildExpressionRow(group.tag, options)])])]); + table.setAttribute("width", "100%"); + return table; // TODO: Left-aligned tags. + // Currently, the group and options passed here do not contain + // enough info to set tag alignment. `leqno` is in Settings but it is + // not passed to Options. On the HTML side, leqno is + // set by a CSS class applied in buildTree.js. That would have worked + // in MathML if browsers supported . Since they don't, we + // need to rewrite the way this function is called. + } +}); +;// CONCATENATED MODULE: ./src/functions/text.js + + + + // Non-mathy text, possibly in a font + +var textFontFamilies = { + "\\text": undefined, + "\\textrm": "textrm", + "\\textsf": "textsf", + "\\texttt": "texttt", + "\\textnormal": "textrm" +}; +var textFontWeights = { + "\\textbf": "textbf", + "\\textmd": "textmd" +}; +var textFontShapes = { + "\\textit": "textit", + "\\textup": "textup" +}; + +var optionsWithFont = function optionsWithFont(group, options) { + var font = group.font; // Checks if the argument is a font family or a font style. + + if (!font) { + return options; + } else if (textFontFamilies[font]) { + return options.withTextFontFamily(textFontFamilies[font]); + } else if (textFontWeights[font]) { + return options.withTextFontWeight(textFontWeights[font]); + } else { + return options.withTextFontShape(textFontShapes[font]); + } +}; + +defineFunction({ + type: "text", + names: [// Font families + "\\text", "\\textrm", "\\textsf", "\\texttt", "\\textnormal", // Font weights + "\\textbf", "\\textmd", // Font Shapes + "\\textit", "\\textup"], + props: { + numArgs: 1, + argTypes: ["text"], + allowedInArgument: true, + allowedInText: true + }, + handler: function handler(_ref, args) { + var parser = _ref.parser, + funcName = _ref.funcName; + var body = args[0]; + return { + type: "text", + mode: parser.mode, + body: ordargument(body), + font: funcName + }; + }, + htmlBuilder: function htmlBuilder(group, options) { + var newOptions = optionsWithFont(group, options); + var inner = buildExpression(group.body, newOptions, true); + return buildCommon.makeSpan(["mord", "text"], inner, newOptions); + }, + mathmlBuilder: function mathmlBuilder(group, options) { + var newOptions = optionsWithFont(group, options); + return buildExpressionRow(group.body, newOptions); + } +}); +;// CONCATENATED MODULE: ./src/functions/underline.js + + + + + +defineFunction({ + type: "underline", + names: ["\\underline"], + props: { + numArgs: 1, + allowedInText: true + }, + handler: function handler(_ref, args) { + var parser = _ref.parser; + return { + type: "underline", + mode: parser.mode, + body: args[0] + }; + }, + htmlBuilder: function htmlBuilder(group, options) { + // Underlines are handled in the TeXbook pg 443, Rule 10. + // Build the inner group. + var innerGroup = buildGroup(group.body, options); // Create the line to go below the body + + var line = buildCommon.makeLineSpan("underline-line", options); // Generate the vlist, with the appropriate kerns + + var defaultRuleThickness = options.fontMetrics().defaultRuleThickness; + var vlist = buildCommon.makeVList({ + positionType: "top", + positionData: innerGroup.height, + children: [{ + type: "kern", + size: defaultRuleThickness + }, { + type: "elem", + elem: line + }, { + type: "kern", + size: 3 * defaultRuleThickness + }, { + type: "elem", + elem: innerGroup + }] + }, options); + return buildCommon.makeSpan(["mord", "underline"], [vlist], options); + }, + mathmlBuilder: function mathmlBuilder(group, options) { + var operator = new mathMLTree.MathNode("mo", [new mathMLTree.TextNode("\u203E")]); + operator.setAttribute("stretchy", "true"); + var node = new mathMLTree.MathNode("munder", [buildMathML_buildGroup(group.body, options), operator]); + node.setAttribute("accentunder", "true"); + return node; + } +}); +;// CONCATENATED MODULE: ./src/functions/vcenter.js + + + + + // \vcenter: Vertically center the argument group on the math axis. + +defineFunction({ + type: "vcenter", + names: ["\\vcenter"], + props: { + numArgs: 1, + argTypes: ["original"], + // In LaTeX, \vcenter can act only on a box. + allowedInText: false + }, + handler: function handler(_ref, args) { + var parser = _ref.parser; + return { + type: "vcenter", + mode: parser.mode, + body: args[0] + }; + }, + htmlBuilder: function htmlBuilder(group, options) { + var body = buildGroup(group.body, options); + var axisHeight = options.fontMetrics().axisHeight; + var dy = 0.5 * (body.height - axisHeight - (body.depth + axisHeight)); + return buildCommon.makeVList({ + positionType: "shift", + positionData: dy, + children: [{ + type: "elem", + elem: body + }] + }, options); + }, + mathmlBuilder: function mathmlBuilder(group, options) { + // There is no way to do this in MathML. + // Write a class as a breadcrumb in case some post-processor wants + // to perform a vcenter adjustment. + return new mathMLTree.MathNode("mpadded", [buildMathML_buildGroup(group.body, options)], ["vcenter"]); + } +}); +;// CONCATENATED MODULE: ./src/functions/verb.js + + + + +defineFunction({ + type: "verb", + names: ["\\verb"], + props: { + numArgs: 0, + allowedInText: true + }, + handler: function handler(context, args, optArgs) { + // \verb and \verb* are dealt with directly in Parser.js. + // If we end up here, it's because of a failure to match the two delimiters + // in the regex in Lexer.js. LaTeX raises the following error when \verb is + // terminated by end of line (or file). + throw new src_ParseError("\\verb ended by end of line instead of matching delimiter"); + }, + htmlBuilder: function htmlBuilder(group, options) { + var text = makeVerb(group); + var body = []; // \verb enters text mode and therefore is sized like \textstyle + + var newOptions = options.havingStyle(options.style.text()); + + for (var i = 0; i < text.length; i++) { + var c = text[i]; + + if (c === '~') { + c = '\\textasciitilde'; + } + + body.push(buildCommon.makeSymbol(c, "Typewriter-Regular", group.mode, newOptions, ["mord", "texttt"])); + } + + return buildCommon.makeSpan(["mord", "text"].concat(newOptions.sizingClasses(options)), buildCommon.tryCombineChars(body), newOptions); + }, + mathmlBuilder: function mathmlBuilder(group, options) { + var text = new mathMLTree.TextNode(makeVerb(group)); + var node = new mathMLTree.MathNode("mtext", [text]); + node.setAttribute("mathvariant", "monospace"); + return node; + } +}); +/** + * Converts verb group into body string. + * + * \verb* replaces each space with an open box \u2423 + * \verb replaces each space with a no-break space \xA0 + */ + +var makeVerb = function makeVerb(group) { + return group.body.replace(/ /g, group.star ? "\u2423" : '\xA0'); +}; +;// CONCATENATED MODULE: ./src/functions.js +/** Include this to ensure that all functions are defined. */ + +var functions = _functions; +/* harmony default export */ var src_functions = (functions); // TODO(kevinb): have functions return an object and call defineFunction with +// that object in this file instead of relying on side-effects. + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +;// CONCATENATED MODULE: ./src/Lexer.js +/** + * The Lexer class handles tokenizing the input in various ways. Since our + * parser expects us to be able to backtrack, the lexer allows lexing from any + * given starting point. + * + * Its main exposed function is the `lex` function, which takes a position to + * lex from and a type of token to lex. It defers to the appropriate `_innerLex` + * function. + * + * The various `_innerLex` functions perform the actual lexing of different + * kinds. + */ + + + + +/* The following tokenRegex + * - matches typical whitespace (but not NBSP etc.) using its first group + * - does not match any control character \x00-\x1f except whitespace + * - does not match a bare backslash + * - matches any ASCII character except those just mentioned + * - does not match the BMP private use area \uE000-\uF8FF + * - does not match bare surrogate code units + * - matches any BMP character except for those just described + * - matches any valid Unicode surrogate pair + * - matches a backslash followed by one or more whitespace characters + * - matches a backslash followed by one or more letters then whitespace + * - matches a backslash followed by any BMP character + * Capturing groups: + * [1] regular whitespace + * [2] backslash followed by whitespace + * [3] anything else, which may include: + * [4] left character of \verb* + * [5] left character of \verb + * [6] backslash followed by word, excluding any trailing whitespace + * Just because the Lexer matches something doesn't mean it's valid input: + * If there is no matching function or symbol definition, the Parser will + * still reject the input. + */ +var spaceRegexString = "[ \r\n\t]"; +var controlWordRegexString = "\\\\[a-zA-Z@]+"; +var controlSymbolRegexString = "\\\\[^\uD800-\uDFFF]"; +var controlWordWhitespaceRegexString = "(" + controlWordRegexString + ")" + spaceRegexString + "*"; +var controlSpaceRegexString = "\\\\(\n|[ \r\t]+\n?)[ \r\t]*"; +var combiningDiacriticalMarkString = "[\u0300-\u036F]"; +var combiningDiacriticalMarksEndRegex = new RegExp(combiningDiacriticalMarkString + "+$"); +var tokenRegexString = "(" + spaceRegexString + "+)|" + ( // whitespace +controlSpaceRegexString + "|") + // \whitespace +"([!-\\[\\]-\u2027\u202A-\uD7FF\uF900-\uFFFF]" + ( // single codepoint +combiningDiacriticalMarkString + "*") + // ...plus accents +"|[\uD800-\uDBFF][\uDC00-\uDFFF]" + ( // surrogate pair +combiningDiacriticalMarkString + "*") + // ...plus accents +"|\\\\verb\\*([^]).*?\\4" + // \verb* +"|\\\\verb([^*a-zA-Z]).*?\\5" + ( // \verb unstarred +"|" + controlWordWhitespaceRegexString) + ( // \macroName + spaces +"|" + controlSymbolRegexString + ")"); // \\, \', etc. + +/** Main Lexer class */ + +var Lexer = /*#__PURE__*/function () { + // Category codes. The lexer only supports comment characters (14) for now. + // MacroExpander additionally distinguishes active (13). + function Lexer(input, settings) { + this.input = void 0; + this.settings = void 0; + this.tokenRegex = void 0; + this.catcodes = void 0; + // Separate accents from characters + this.input = input; + this.settings = settings; + this.tokenRegex = new RegExp(tokenRegexString, 'g'); + this.catcodes = { + "%": 14, + // comment character + "~": 13 // active character + + }; + } + + var _proto = Lexer.prototype; + + _proto.setCatcode = function setCatcode(char, code) { + this.catcodes[char] = code; + } + /** + * This function lexes a single token. + */ + ; + + _proto.lex = function lex() { + var input = this.input; + var pos = this.tokenRegex.lastIndex; + + if (pos === input.length) { + return new Token("EOF", new SourceLocation(this, pos, pos)); + } + + var match = this.tokenRegex.exec(input); + + if (match === null || match.index !== pos) { + throw new src_ParseError("Unexpected character: '" + input[pos] + "'", new Token(input[pos], new SourceLocation(this, pos, pos + 1))); + } + + var text = match[6] || match[3] || (match[2] ? "\\ " : " "); + + if (this.catcodes[text] === 14) { + // comment character + var nlIndex = input.indexOf('\n', this.tokenRegex.lastIndex); + + if (nlIndex === -1) { + this.tokenRegex.lastIndex = input.length; // EOF + + this.settings.reportNonstrict("commentAtEnd", "% comment has no terminating newline; LaTeX would " + "fail because of commenting the end of math mode (e.g. $)"); + } else { + this.tokenRegex.lastIndex = nlIndex + 1; + } + + return this.lex(); + } + + return new Token(text, new SourceLocation(this, pos, this.tokenRegex.lastIndex)); + }; + + return Lexer; +}(); + + +;// CONCATENATED MODULE: ./src/Namespace.js +/** + * A `Namespace` refers to a space of nameable things like macros or lengths, + * which can be `set` either globally or local to a nested group, using an + * undo stack similar to how TeX implements this functionality. + * Performance-wise, `get` and local `set` take constant time, while global + * `set` takes time proportional to the depth of group nesting. + */ + + +var Namespace = /*#__PURE__*/function () { + /** + * Both arguments are optional. The first argument is an object of + * built-in mappings which never change. The second argument is an object + * of initial (global-level) mappings, which will constantly change + * according to any global/top-level `set`s done. + */ + function Namespace(builtins, globalMacros) { + if (builtins === void 0) { + builtins = {}; + } + + if (globalMacros === void 0) { + globalMacros = {}; + } + + this.current = void 0; + this.builtins = void 0; + this.undefStack = void 0; + this.current = globalMacros; + this.builtins = builtins; + this.undefStack = []; + } + /** + * Start a new nested group, affecting future local `set`s. + */ + + + var _proto = Namespace.prototype; + + _proto.beginGroup = function beginGroup() { + this.undefStack.push({}); + } + /** + * End current nested group, restoring values before the group began. + */ + ; + + _proto.endGroup = function endGroup() { + if (this.undefStack.length === 0) { + throw new src_ParseError("Unbalanced namespace destruction: attempt " + "to pop global namespace; please report this as a bug"); + } + + var undefs = this.undefStack.pop(); + + for (var undef in undefs) { + if (undefs.hasOwnProperty(undef)) { + if (undefs[undef] == null) { + delete this.current[undef]; + } else { + this.current[undef] = undefs[undef]; + } + } + } + } + /** + * Ends all currently nested groups (if any), restoring values before the + * groups began. Useful in case of an error in the middle of parsing. + */ + ; + + _proto.endGroups = function endGroups() { + while (this.undefStack.length > 0) { + this.endGroup(); + } + } + /** + * Detect whether `name` has a definition. Equivalent to + * `get(name) != null`. + */ + ; + + _proto.has = function has(name) { + return this.current.hasOwnProperty(name) || this.builtins.hasOwnProperty(name); + } + /** + * Get the current value of a name, or `undefined` if there is no value. + * + * Note: Do not use `if (namespace.get(...))` to detect whether a macro + * is defined, as the definition may be the empty string which evaluates + * to `false` in JavaScript. Use `if (namespace.get(...) != null)` or + * `if (namespace.has(...))`. + */ + ; + + _proto.get = function get(name) { + if (this.current.hasOwnProperty(name)) { + return this.current[name]; + } else { + return this.builtins[name]; + } + } + /** + * Set the current value of a name, and optionally set it globally too. + * Local set() sets the current value and (when appropriate) adds an undo + * operation to the undo stack. Global set() may change the undo + * operation at every level, so takes time linear in their number. + * A value of undefined means to delete existing definitions. + */ + ; + + _proto.set = function set(name, value, global) { + if (global === void 0) { + global = false; + } + + if (global) { + // Global set is equivalent to setting in all groups. Simulate this + // by destroying any undos currently scheduled for this name, + // and adding an undo with the *new* value (in case it later gets + // locally reset within this environment). + for (var i = 0; i < this.undefStack.length; i++) { + delete this.undefStack[i][name]; + } + + if (this.undefStack.length > 0) { + this.undefStack[this.undefStack.length - 1][name] = value; + } + } else { + // Undo this set at end of this group (possibly to `undefined`), + // unless an undo is already in place, in which case that older + // value is the correct one. + var top = this.undefStack[this.undefStack.length - 1]; + + if (top && !top.hasOwnProperty(name)) { + top[name] = this.current[name]; + } + } + + if (value == null) { + delete this.current[name]; + } else { + this.current[name] = value; + } + }; + + return Namespace; +}(); + + +;// CONCATENATED MODULE: ./src/macros.js +/** + * Predefined macros for KaTeX. + * This can be used to define some commands in terms of others. + */ +// Export global macros object from defineMacro + +var macros = _macros; +/* harmony default export */ var src_macros = (macros); + + + + + + ////////////////////////////////////////////////////////////////////// +// macro tools + +defineMacro("\\noexpand", function (context) { + // The expansion is the token itself; but that token is interpreted + // as if its meaning were ‘\relax’ if it is a control sequence that + // would ordinarily be expanded by TeX’s expansion rules. + var t = context.popToken(); + + if (context.isExpandable(t.text)) { + t.noexpand = true; + t.treatAsRelax = true; + } + + return { + tokens: [t], + numArgs: 0 + }; +}); +defineMacro("\\expandafter", function (context) { + // TeX first reads the token that comes immediately after \expandafter, + // without expanding it; let’s call this token t. Then TeX reads the + // token that comes after t (and possibly more tokens, if that token + // has an argument), replacing it by its expansion. Finally TeX puts + // t back in front of that expansion. + var t = context.popToken(); + context.expandOnce(true); // expand only an expandable token + + return { + tokens: [t], + numArgs: 0 + }; +}); // LaTeX's \@firstoftwo{#1}{#2} expands to #1, skipping #2 +// TeX source: \long\def\@firstoftwo#1#2{#1} + +defineMacro("\\@firstoftwo", function (context) { + var args = context.consumeArgs(2); + return { + tokens: args[0], + numArgs: 0 + }; +}); // LaTeX's \@secondoftwo{#1}{#2} expands to #2, skipping #1 +// TeX source: \long\def\@secondoftwo#1#2{#2} + +defineMacro("\\@secondoftwo", function (context) { + var args = context.consumeArgs(2); + return { + tokens: args[1], + numArgs: 0 + }; +}); // LaTeX's \@ifnextchar{#1}{#2}{#3} looks ahead to the next (unexpanded) +// symbol that isn't a space, consuming any spaces but not consuming the +// first nonspace character. If that nonspace character matches #1, then +// the macro expands to #2; otherwise, it expands to #3. + +defineMacro("\\@ifnextchar", function (context) { + var args = context.consumeArgs(3); // symbol, if, else + + context.consumeSpaces(); + var nextToken = context.future(); + + if (args[0].length === 1 && args[0][0].text === nextToken.text) { + return { + tokens: args[1], + numArgs: 0 + }; + } else { + return { + tokens: args[2], + numArgs: 0 + }; + } +}); // LaTeX's \@ifstar{#1}{#2} looks ahead to the next (unexpanded) symbol. +// If it is `*`, then it consumes the symbol, and the macro expands to #1; +// otherwise, the macro expands to #2 (without consuming the symbol). +// TeX source: \def\@ifstar#1{\@ifnextchar *{\@firstoftwo{#1}}} + +defineMacro("\\@ifstar", "\\@ifnextchar *{\\@firstoftwo{#1}}"); // LaTeX's \TextOrMath{#1}{#2} expands to #1 in text mode, #2 in math mode + +defineMacro("\\TextOrMath", function (context) { + var args = context.consumeArgs(2); + + if (context.mode === 'text') { + return { + tokens: args[0], + numArgs: 0 + }; + } else { + return { + tokens: args[1], + numArgs: 0 + }; + } +}); // Lookup table for parsing numbers in base 8 through 16 + +var digitToNumber = { + "0": 0, + "1": 1, + "2": 2, + "3": 3, + "4": 4, + "5": 5, + "6": 6, + "7": 7, + "8": 8, + "9": 9, + "a": 10, + "A": 10, + "b": 11, + "B": 11, + "c": 12, + "C": 12, + "d": 13, + "D": 13, + "e": 14, + "E": 14, + "f": 15, + "F": 15 +}; // TeX \char makes a literal character (catcode 12) using the following forms: +// (see The TeXBook, p. 43) +// \char123 -- decimal +// \char'123 -- octal +// \char"123 -- hex +// \char`x -- character that can be written (i.e. isn't active) +// \char`\x -- character that cannot be written (e.g. %) +// These all refer to characters from the font, so we turn them into special +// calls to a function \@char dealt with in the Parser. + +defineMacro("\\char", function (context) { + var token = context.popToken(); + var base; + var number = ''; + + if (token.text === "'") { + base = 8; + token = context.popToken(); + } else if (token.text === '"') { + base = 16; + token = context.popToken(); + } else if (token.text === "`") { + token = context.popToken(); + + if (token.text[0] === "\\") { + number = token.text.charCodeAt(1); + } else if (token.text === "EOF") { + throw new src_ParseError("\\char` missing argument"); + } else { + number = token.text.charCodeAt(0); + } + } else { + base = 10; + } + + if (base) { + // Parse a number in the given base, starting with first `token`. + number = digitToNumber[token.text]; + + if (number == null || number >= base) { + throw new src_ParseError("Invalid base-" + base + " digit " + token.text); + } + + var digit; + + while ((digit = digitToNumber[context.future().text]) != null && digit < base) { + number *= base; + number += digit; + context.popToken(); + } + } + + return "\\@char{" + number + "}"; +}); // \newcommand{\macro}[args]{definition} +// \renewcommand{\macro}[args]{definition} +// TODO: Optional arguments: \newcommand{\macro}[args][default]{definition} + +var newcommand = function newcommand(context, existsOK, nonexistsOK) { + var arg = context.consumeArg().tokens; + + if (arg.length !== 1) { + throw new src_ParseError("\\newcommand's first argument must be a macro name"); + } + + var name = arg[0].text; + var exists = context.isDefined(name); + + if (exists && !existsOK) { + throw new src_ParseError("\\newcommand{" + name + "} attempting to redefine " + (name + "; use \\renewcommand")); + } + + if (!exists && !nonexistsOK) { + throw new src_ParseError("\\renewcommand{" + name + "} when command " + name + " " + "does not yet exist; use \\newcommand"); + } + + var numArgs = 0; + arg = context.consumeArg().tokens; + + if (arg.length === 1 && arg[0].text === "[") { + var argText = ''; + var token = context.expandNextToken(); + + while (token.text !== "]" && token.text !== "EOF") { + // TODO: Should properly expand arg, e.g., ignore {}s + argText += token.text; + token = context.expandNextToken(); + } + + if (!argText.match(/^\s*[0-9]+\s*$/)) { + throw new src_ParseError("Invalid number of arguments: " + argText); + } + + numArgs = parseInt(argText); + arg = context.consumeArg().tokens; + } // Final arg is the expansion of the macro + + + context.macros.set(name, { + tokens: arg, + numArgs: numArgs + }); + return ''; +}; + +defineMacro("\\newcommand", function (context) { + return newcommand(context, false, true); +}); +defineMacro("\\renewcommand", function (context) { + return newcommand(context, true, false); +}); +defineMacro("\\providecommand", function (context) { + return newcommand(context, true, true); +}); // terminal (console) tools + +defineMacro("\\message", function (context) { + var arg = context.consumeArgs(1)[0]; // eslint-disable-next-line no-console + + console.log(arg.reverse().map(function (token) { + return token.text; + }).join("")); + return ''; +}); +defineMacro("\\errmessage", function (context) { + var arg = context.consumeArgs(1)[0]; // eslint-disable-next-line no-console + + console.error(arg.reverse().map(function (token) { + return token.text; + }).join("")); + return ''; +}); +defineMacro("\\show", function (context) { + var tok = context.popToken(); + var name = tok.text; // eslint-disable-next-line no-console + + console.log(tok, context.macros.get(name), src_functions[name], src_symbols.math[name], src_symbols.text[name]); + return ''; +}); ////////////////////////////////////////////////////////////////////// +// Grouping +// \let\bgroup={ \let\egroup=} + +defineMacro("\\bgroup", "{"); +defineMacro("\\egroup", "}"); // Symbols from latex.ltx: +// \def~{\nobreakspace{}} +// \def\lq{`} +// \def\rq{'} +// \def \aa {\r a} +// \def \AA {\r A} + +defineMacro("~", "\\nobreakspace"); +defineMacro("\\lq", "`"); +defineMacro("\\rq", "'"); +defineMacro("\\aa", "\\r a"); +defineMacro("\\AA", "\\r A"); // Copyright (C) and registered (R) symbols. Use raw symbol in MathML. +// \DeclareTextCommandDefault{\textcopyright}{\textcircled{c}} +// \DeclareTextCommandDefault{\textregistered}{\textcircled{% +// \check@mathfonts\fontsize\sf@size\z@\math@fontsfalse\selectfont R}} +// \DeclareRobustCommand{\copyright}{% +// \ifmmode{\nfss@text{\textcopyright}}\else\textcopyright\fi} + +defineMacro("\\textcopyright", "\\html@mathml{\\textcircled{c}}{\\char`©}"); +defineMacro("\\copyright", "\\TextOrMath{\\textcopyright}{\\text{\\textcopyright}}"); +defineMacro("\\textregistered", "\\html@mathml{\\textcircled{\\scriptsize R}}{\\char`®}"); // Characters omitted from Unicode range 1D400–1D7FF + +defineMacro("\u212C", "\\mathscr{B}"); // script + +defineMacro("\u2130", "\\mathscr{E}"); +defineMacro("\u2131", "\\mathscr{F}"); +defineMacro("\u210B", "\\mathscr{H}"); +defineMacro("\u2110", "\\mathscr{I}"); +defineMacro("\u2112", "\\mathscr{L}"); +defineMacro("\u2133", "\\mathscr{M}"); +defineMacro("\u211B", "\\mathscr{R}"); +defineMacro("\u212D", "\\mathfrak{C}"); // Fraktur + +defineMacro("\u210C", "\\mathfrak{H}"); +defineMacro("\u2128", "\\mathfrak{Z}"); // Define \Bbbk with a macro that works in both HTML and MathML. + +defineMacro("\\Bbbk", "\\Bbb{k}"); // Unicode middle dot +// The KaTeX fonts do not contain U+00B7. Instead, \cdotp displays +// the dot at U+22C5 and gives it punct spacing. + +defineMacro("\xB7", "\\cdotp"); // \llap and \rlap render their contents in text mode + +defineMacro("\\llap", "\\mathllap{\\textrm{#1}}"); +defineMacro("\\rlap", "\\mathrlap{\\textrm{#1}}"); +defineMacro("\\clap", "\\mathclap{\\textrm{#1}}"); // \mathstrut from the TeXbook, p 360 + +defineMacro("\\mathstrut", "\\vphantom{(}"); // \underbar from TeXbook p 353 + +defineMacro("\\underbar", "\\underline{\\text{#1}}"); // \not is defined by base/fontmath.ltx via +// \DeclareMathSymbol{\not}{\mathrel}{symbols}{"36} +// It's thus treated like a \mathrel, but defined by a symbol that has zero +// width but extends to the right. We use \rlap to get that spacing. +// For MathML we write U+0338 here. buildMathML.js will then do the overlay. + +defineMacro("\\not", '\\html@mathml{\\mathrel{\\mathrlap\\@not}}{\\char"338}'); // Negated symbols from base/fontmath.ltx: +// \def\neq{\not=} \let\ne=\neq +// \DeclareRobustCommand +// \notin{\mathrel{\m@th\mathpalette\c@ncel\in}} +// \def\c@ncel#1#2{\m@th\ooalign{$\hfil#1\mkern1mu/\hfil$\crcr$#1#2$}} + +defineMacro("\\neq", "\\html@mathml{\\mathrel{\\not=}}{\\mathrel{\\char`≠}}"); +defineMacro("\\ne", "\\neq"); +defineMacro("\u2260", "\\neq"); +defineMacro("\\notin", "\\html@mathml{\\mathrel{{\\in}\\mathllap{/\\mskip1mu}}}" + "{\\mathrel{\\char`∉}}"); +defineMacro("\u2209", "\\notin"); // Unicode stacked relations + +defineMacro("\u2258", "\\html@mathml{" + "\\mathrel{=\\kern{-1em}\\raisebox{0.4em}{$\\scriptsize\\frown$}}" + "}{\\mathrel{\\char`\u2258}}"); +defineMacro("\u2259", "\\html@mathml{\\stackrel{\\tiny\\wedge}{=}}{\\mathrel{\\char`\u2258}}"); +defineMacro("\u225A", "\\html@mathml{\\stackrel{\\tiny\\vee}{=}}{\\mathrel{\\char`\u225A}}"); +defineMacro("\u225B", "\\html@mathml{\\stackrel{\\scriptsize\\star}{=}}" + "{\\mathrel{\\char`\u225B}}"); +defineMacro("\u225D", "\\html@mathml{\\stackrel{\\tiny\\mathrm{def}}{=}}" + "{\\mathrel{\\char`\u225D}}"); +defineMacro("\u225E", "\\html@mathml{\\stackrel{\\tiny\\mathrm{m}}{=}}" + "{\\mathrel{\\char`\u225E}}"); +defineMacro("\u225F", "\\html@mathml{\\stackrel{\\tiny?}{=}}{\\mathrel{\\char`\u225F}}"); // Misc Unicode + +defineMacro("\u27C2", "\\perp"); +defineMacro("\u203C", "\\mathclose{!\\mkern-0.8mu!}"); +defineMacro("\u220C", "\\notni"); +defineMacro("\u231C", "\\ulcorner"); +defineMacro("\u231D", "\\urcorner"); +defineMacro("\u231E", "\\llcorner"); +defineMacro("\u231F", "\\lrcorner"); +defineMacro("\xA9", "\\copyright"); +defineMacro("\xAE", "\\textregistered"); +defineMacro("\uFE0F", "\\textregistered"); // The KaTeX fonts have corners at codepoints that don't match Unicode. +// For MathML purposes, use the Unicode code point. + +defineMacro("\\ulcorner", "\\html@mathml{\\@ulcorner}{\\mathop{\\char\"231c}}"); +defineMacro("\\urcorner", "\\html@mathml{\\@urcorner}{\\mathop{\\char\"231d}}"); +defineMacro("\\llcorner", "\\html@mathml{\\@llcorner}{\\mathop{\\char\"231e}}"); +defineMacro("\\lrcorner", "\\html@mathml{\\@lrcorner}{\\mathop{\\char\"231f}}"); ////////////////////////////////////////////////////////////////////// +// LaTeX_2ε +// \vdots{\vbox{\baselineskip4\p@ \lineskiplimit\z@ +// \kern6\p@\hbox{.}\hbox{.}\hbox{.}}} +// We'll call \varvdots, which gets a glyph from symbols.js. +// The zero-width rule gets us an equivalent to the vertical 6pt kern. + +defineMacro("\\vdots", "\\mathord{\\varvdots\\rule{0pt}{15pt}}"); +defineMacro("\u22EE", "\\vdots"); ////////////////////////////////////////////////////////////////////// +// amsmath.sty +// http://mirrors.concertpass.com/tex-archive/macros/latex/required/amsmath/amsmath.pdf +// Italic Greek capital letters. AMS defines these with \DeclareMathSymbol, +// but they are equivalent to \mathit{\Letter}. + +defineMacro("\\varGamma", "\\mathit{\\Gamma}"); +defineMacro("\\varDelta", "\\mathit{\\Delta}"); +defineMacro("\\varTheta", "\\mathit{\\Theta}"); +defineMacro("\\varLambda", "\\mathit{\\Lambda}"); +defineMacro("\\varXi", "\\mathit{\\Xi}"); +defineMacro("\\varPi", "\\mathit{\\Pi}"); +defineMacro("\\varSigma", "\\mathit{\\Sigma}"); +defineMacro("\\varUpsilon", "\\mathit{\\Upsilon}"); +defineMacro("\\varPhi", "\\mathit{\\Phi}"); +defineMacro("\\varPsi", "\\mathit{\\Psi}"); +defineMacro("\\varOmega", "\\mathit{\\Omega}"); //\newcommand{\substack}[1]{\subarray{c}#1\endsubarray} + +defineMacro("\\substack", "\\begin{subarray}{c}#1\\end{subarray}"); // \renewcommand{\colon}{\nobreak\mskip2mu\mathpunct{}\nonscript +// \mkern-\thinmuskip{:}\mskip6muplus1mu\relax} + +defineMacro("\\colon", "\\nobreak\\mskip2mu\\mathpunct{}" + "\\mathchoice{\\mkern-3mu}{\\mkern-3mu}{}{}{:}\\mskip6mu\\relax"); // \newcommand{\boxed}[1]{\fbox{\m@th$\displaystyle#1$}} + +defineMacro("\\boxed", "\\fbox{$\\displaystyle{#1}$}"); // \def\iff{\DOTSB\;\Longleftrightarrow\;} +// \def\implies{\DOTSB\;\Longrightarrow\;} +// \def\impliedby{\DOTSB\;\Longleftarrow\;} + +defineMacro("\\iff", "\\DOTSB\\;\\Longleftrightarrow\\;"); +defineMacro("\\implies", "\\DOTSB\\;\\Longrightarrow\\;"); +defineMacro("\\impliedby", "\\DOTSB\\;\\Longleftarrow\\;"); // AMSMath's automatic \dots, based on \mdots@@ macro. + +var dotsByToken = { + ',': '\\dotsc', + '\\not': '\\dotsb', + // \keybin@ checks for the following: + '+': '\\dotsb', + '=': '\\dotsb', + '<': '\\dotsb', + '>': '\\dotsb', + '-': '\\dotsb', + '*': '\\dotsb', + ':': '\\dotsb', + // Symbols whose definition starts with \DOTSB: + '\\DOTSB': '\\dotsb', + '\\coprod': '\\dotsb', + '\\bigvee': '\\dotsb', + '\\bigwedge': '\\dotsb', + '\\biguplus': '\\dotsb', + '\\bigcap': '\\dotsb', + '\\bigcup': '\\dotsb', + '\\prod': '\\dotsb', + '\\sum': '\\dotsb', + '\\bigotimes': '\\dotsb', + '\\bigoplus': '\\dotsb', + '\\bigodot': '\\dotsb', + '\\bigsqcup': '\\dotsb', + '\\And': '\\dotsb', + '\\longrightarrow': '\\dotsb', + '\\Longrightarrow': '\\dotsb', + '\\longleftarrow': '\\dotsb', + '\\Longleftarrow': '\\dotsb', + '\\longleftrightarrow': '\\dotsb', + '\\Longleftrightarrow': '\\dotsb', + '\\mapsto': '\\dotsb', + '\\longmapsto': '\\dotsb', + '\\hookrightarrow': '\\dotsb', + '\\doteq': '\\dotsb', + // Symbols whose definition starts with \mathbin: + '\\mathbin': '\\dotsb', + // Symbols whose definition starts with \mathrel: + '\\mathrel': '\\dotsb', + '\\relbar': '\\dotsb', + '\\Relbar': '\\dotsb', + '\\xrightarrow': '\\dotsb', + '\\xleftarrow': '\\dotsb', + // Symbols whose definition starts with \DOTSI: + '\\DOTSI': '\\dotsi', + '\\int': '\\dotsi', + '\\oint': '\\dotsi', + '\\iint': '\\dotsi', + '\\iiint': '\\dotsi', + '\\iiiint': '\\dotsi', + '\\idotsint': '\\dotsi', + // Symbols whose definition starts with \DOTSX: + '\\DOTSX': '\\dotsx' +}; +defineMacro("\\dots", function (context) { + // TODO: If used in text mode, should expand to \textellipsis. + // However, in KaTeX, \textellipsis and \ldots behave the same + // (in text mode), and it's unlikely we'd see any of the math commands + // that affect the behavior of \dots when in text mode. So fine for now + // (until we support \ifmmode ... \else ... \fi). + var thedots = '\\dotso'; + var next = context.expandAfterFuture().text; + + if (next in dotsByToken) { + thedots = dotsByToken[next]; + } else if (next.slice(0, 4) === '\\not') { + thedots = '\\dotsb'; + } else if (next in src_symbols.math) { + if (utils.contains(['bin', 'rel'], src_symbols.math[next].group)) { + thedots = '\\dotsb'; + } + } + + return thedots; +}); +var spaceAfterDots = { + // \rightdelim@ checks for the following: + ')': true, + ']': true, + '\\rbrack': true, + '\\}': true, + '\\rbrace': true, + '\\rangle': true, + '\\rceil': true, + '\\rfloor': true, + '\\rgroup': true, + '\\rmoustache': true, + '\\right': true, + '\\bigr': true, + '\\biggr': true, + '\\Bigr': true, + '\\Biggr': true, + // \extra@ also tests for the following: + '$': true, + // \extrap@ checks for the following: + ';': true, + '.': true, + ',': true +}; +defineMacro("\\dotso", function (context) { + var next = context.future().text; + + if (next in spaceAfterDots) { + return "\\ldots\\,"; + } else { + return "\\ldots"; + } +}); +defineMacro("\\dotsc", function (context) { + var next = context.future().text; // \dotsc uses \extra@ but not \extrap@, instead specially checking for + // ';' and '.', but doesn't check for ','. + + if (next in spaceAfterDots && next !== ',') { + return "\\ldots\\,"; + } else { + return "\\ldots"; + } +}); +defineMacro("\\cdots", function (context) { + var next = context.future().text; + + if (next in spaceAfterDots) { + return "\\@cdots\\,"; + } else { + return "\\@cdots"; + } +}); +defineMacro("\\dotsb", "\\cdots"); +defineMacro("\\dotsm", "\\cdots"); +defineMacro("\\dotsi", "\\!\\cdots"); // amsmath doesn't actually define \dotsx, but \dots followed by a macro +// starting with \DOTSX implies \dotso, and then \extra@ detects this case +// and forces the added `\,`. + +defineMacro("\\dotsx", "\\ldots\\,"); // \let\DOTSI\relax +// \let\DOTSB\relax +// \let\DOTSX\relax + +defineMacro("\\DOTSI", "\\relax"); +defineMacro("\\DOTSB", "\\relax"); +defineMacro("\\DOTSX", "\\relax"); // Spacing, based on amsmath.sty's override of LaTeX defaults +// \DeclareRobustCommand{\tmspace}[3]{% +// \ifmmode\mskip#1#2\else\kern#1#3\fi\relax} + +defineMacro("\\tmspace", "\\TextOrMath{\\kern#1#3}{\\mskip#1#2}\\relax"); // \renewcommand{\,}{\tmspace+\thinmuskip{.1667em}} +// TODO: math mode should use \thinmuskip + +defineMacro("\\,", "\\tmspace+{3mu}{.1667em}"); // \let\thinspace\, + +defineMacro("\\thinspace", "\\,"); // \def\>{\mskip\medmuskip} +// \renewcommand{\:}{\tmspace+\medmuskip{.2222em}} +// TODO: \> and math mode of \: should use \medmuskip = 4mu plus 2mu minus 4mu + +defineMacro("\\>", "\\mskip{4mu}"); +defineMacro("\\:", "\\tmspace+{4mu}{.2222em}"); // \let\medspace\: + +defineMacro("\\medspace", "\\:"); // \renewcommand{\;}{\tmspace+\thickmuskip{.2777em}} +// TODO: math mode should use \thickmuskip = 5mu plus 5mu + +defineMacro("\\;", "\\tmspace+{5mu}{.2777em}"); // \let\thickspace\; + +defineMacro("\\thickspace", "\\;"); // \renewcommand{\!}{\tmspace-\thinmuskip{.1667em}} +// TODO: math mode should use \thinmuskip + +defineMacro("\\!", "\\tmspace-{3mu}{.1667em}"); // \let\negthinspace\! + +defineMacro("\\negthinspace", "\\!"); // \newcommand{\negmedspace}{\tmspace-\medmuskip{.2222em}} +// TODO: math mode should use \medmuskip + +defineMacro("\\negmedspace", "\\tmspace-{4mu}{.2222em}"); // \newcommand{\negthickspace}{\tmspace-\thickmuskip{.2777em}} +// TODO: math mode should use \thickmuskip + +defineMacro("\\negthickspace", "\\tmspace-{5mu}{.277em}"); // \def\enspace{\kern.5em } + +defineMacro("\\enspace", "\\kern.5em "); // \def\enskip{\hskip.5em\relax} + +defineMacro("\\enskip", "\\hskip.5em\\relax"); // \def\quad{\hskip1em\relax} + +defineMacro("\\quad", "\\hskip1em\\relax"); // \def\qquad{\hskip2em\relax} + +defineMacro("\\qquad", "\\hskip2em\\relax"); // \tag@in@display form of \tag + +defineMacro("\\tag", "\\@ifstar\\tag@literal\\tag@paren"); +defineMacro("\\tag@paren", "\\tag@literal{({#1})}"); +defineMacro("\\tag@literal", function (context) { + if (context.macros.get("\\df@tag")) { + throw new src_ParseError("Multiple \\tag"); + } + + return "\\gdef\\df@tag{\\text{#1}}"; +}); // \renewcommand{\bmod}{\nonscript\mskip-\medmuskip\mkern5mu\mathbin +// {\operator@font mod}\penalty900 +// \mkern5mu\nonscript\mskip-\medmuskip} +// \newcommand{\pod}[1]{\allowbreak +// \if@display\mkern18mu\else\mkern8mu\fi(#1)} +// \renewcommand{\pmod}[1]{\pod{{\operator@font mod}\mkern6mu#1}} +// \newcommand{\mod}[1]{\allowbreak\if@display\mkern18mu +// \else\mkern12mu\fi{\operator@font mod}\,\,#1} +// TODO: math mode should use \medmuskip = 4mu plus 2mu minus 4mu + +defineMacro("\\bmod", "\\mathchoice{\\mskip1mu}{\\mskip1mu}{\\mskip5mu}{\\mskip5mu}" + "\\mathbin{\\rm mod}" + "\\mathchoice{\\mskip1mu}{\\mskip1mu}{\\mskip5mu}{\\mskip5mu}"); +defineMacro("\\pod", "\\allowbreak" + "\\mathchoice{\\mkern18mu}{\\mkern8mu}{\\mkern8mu}{\\mkern8mu}(#1)"); +defineMacro("\\pmod", "\\pod{{\\rm mod}\\mkern6mu#1}"); +defineMacro("\\mod", "\\allowbreak" + "\\mathchoice{\\mkern18mu}{\\mkern12mu}{\\mkern12mu}{\\mkern12mu}" + "{\\rm mod}\\,\\,#1"); ////////////////////////////////////////////////////////////////////// +// LaTeX source2e +// \expandafter\let\expandafter\@normalcr +// \csname\expandafter\@gobble\string\\ \endcsname +// \DeclareRobustCommand\newline{\@normalcr\relax} + +defineMacro("\\newline", "\\\\\\relax"); // \def\TeX{T\kern-.1667em\lower.5ex\hbox{E}\kern-.125emX\@} +// TODO: Doesn't normally work in math mode because \@ fails. KaTeX doesn't +// support \@ yet, so that's omitted, and we add \text so that the result +// doesn't look funny in math mode. + +defineMacro("\\TeX", "\\textrm{\\html@mathml{" + "T\\kern-.1667em\\raisebox{-.5ex}{E}\\kern-.125emX" + "}{TeX}}"); // \DeclareRobustCommand{\LaTeX}{L\kern-.36em% +// {\sbox\z@ T% +// \vbox to\ht\z@{\hbox{\check@mathfonts +// \fontsize\sf@size\z@ +// \math@fontsfalse\selectfont +// A}% +// \vss}% +// }% +// \kern-.15em% +// \TeX} +// This code aligns the top of the A with the T (from the perspective of TeX's +// boxes, though visually the A appears to extend above slightly). +// We compute the corresponding \raisebox when A is rendered in \normalsize +// \scriptstyle, which has a scale factor of 0.7 (see Options.js). + +var latexRaiseA = makeEm(fontMetricsData["Main-Regular"]["T".charCodeAt(0)][1] - 0.7 * fontMetricsData["Main-Regular"]["A".charCodeAt(0)][1]); +defineMacro("\\LaTeX", "\\textrm{\\html@mathml{" + ("L\\kern-.36em\\raisebox{" + latexRaiseA + "}{\\scriptstyle A}") + "\\kern-.15em\\TeX}{LaTeX}}"); // New KaTeX logo based on tweaking LaTeX logo + +defineMacro("\\KaTeX", "\\textrm{\\html@mathml{" + ("K\\kern-.17em\\raisebox{" + latexRaiseA + "}{\\scriptstyle A}") + "\\kern-.15em\\TeX}{KaTeX}}"); // \DeclareRobustCommand\hspace{\@ifstar\@hspacer\@hspace} +// \def\@hspace#1{\hskip #1\relax} +// \def\@hspacer#1{\vrule \@width\z@\nobreak +// \hskip #1\hskip \z@skip} + +defineMacro("\\hspace", "\\@ifstar\\@hspacer\\@hspace"); +defineMacro("\\@hspace", "\\hskip #1\\relax"); +defineMacro("\\@hspacer", "\\rule{0pt}{0pt}\\hskip #1\\relax"); ////////////////////////////////////////////////////////////////////// +// mathtools.sty +//\providecommand\ordinarycolon{:} + +defineMacro("\\ordinarycolon", ":"); //\def\vcentcolon{\mathrel{\mathop\ordinarycolon}} +//TODO(edemaine): Not yet centered. Fix via \raisebox or #726 + +defineMacro("\\vcentcolon", "\\mathrel{\\mathop\\ordinarycolon}"); // \providecommand*\dblcolon{\vcentcolon\mathrel{\mkern-.9mu}\vcentcolon} + +defineMacro("\\dblcolon", "\\html@mathml{" + "\\mathrel{\\vcentcolon\\mathrel{\\mkern-.9mu}\\vcentcolon}}" + "{\\mathop{\\char\"2237}}"); // \providecommand*\coloneqq{\vcentcolon\mathrel{\mkern-1.2mu}=} + +defineMacro("\\coloneqq", "\\html@mathml{" + "\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}=}}" + "{\\mathop{\\char\"2254}}"); // ≔ +// \providecommand*\Coloneqq{\dblcolon\mathrel{\mkern-1.2mu}=} + +defineMacro("\\Coloneqq", "\\html@mathml{" + "\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}=}}" + "{\\mathop{\\char\"2237\\char\"3d}}"); // \providecommand*\coloneq{\vcentcolon\mathrel{\mkern-1.2mu}\mathrel{-}} + +defineMacro("\\coloneq", "\\html@mathml{" + "\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}\\mathrel{-}}}" + "{\\mathop{\\char\"3a\\char\"2212}}"); // \providecommand*\Coloneq{\dblcolon\mathrel{\mkern-1.2mu}\mathrel{-}} + +defineMacro("\\Coloneq", "\\html@mathml{" + "\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}\\mathrel{-}}}" + "{\\mathop{\\char\"2237\\char\"2212}}"); // \providecommand*\eqqcolon{=\mathrel{\mkern-1.2mu}\vcentcolon} + +defineMacro("\\eqqcolon", "\\html@mathml{" + "\\mathrel{=\\mathrel{\\mkern-1.2mu}\\vcentcolon}}" + "{\\mathop{\\char\"2255}}"); // ≕ +// \providecommand*\Eqqcolon{=\mathrel{\mkern-1.2mu}\dblcolon} + +defineMacro("\\Eqqcolon", "\\html@mathml{" + "\\mathrel{=\\mathrel{\\mkern-1.2mu}\\dblcolon}}" + "{\\mathop{\\char\"3d\\char\"2237}}"); // \providecommand*\eqcolon{\mathrel{-}\mathrel{\mkern-1.2mu}\vcentcolon} + +defineMacro("\\eqcolon", "\\html@mathml{" + "\\mathrel{\\mathrel{-}\\mathrel{\\mkern-1.2mu}\\vcentcolon}}" + "{\\mathop{\\char\"2239}}"); // \providecommand*\Eqcolon{\mathrel{-}\mathrel{\mkern-1.2mu}\dblcolon} + +defineMacro("\\Eqcolon", "\\html@mathml{" + "\\mathrel{\\mathrel{-}\\mathrel{\\mkern-1.2mu}\\dblcolon}}" + "{\\mathop{\\char\"2212\\char\"2237}}"); // \providecommand*\colonapprox{\vcentcolon\mathrel{\mkern-1.2mu}\approx} + +defineMacro("\\colonapprox", "\\html@mathml{" + "\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}\\approx}}" + "{\\mathop{\\char\"3a\\char\"2248}}"); // \providecommand*\Colonapprox{\dblcolon\mathrel{\mkern-1.2mu}\approx} + +defineMacro("\\Colonapprox", "\\html@mathml{" + "\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}\\approx}}" + "{\\mathop{\\char\"2237\\char\"2248}}"); // \providecommand*\colonsim{\vcentcolon\mathrel{\mkern-1.2mu}\sim} + +defineMacro("\\colonsim", "\\html@mathml{" + "\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}\\sim}}" + "{\\mathop{\\char\"3a\\char\"223c}}"); // \providecommand*\Colonsim{\dblcolon\mathrel{\mkern-1.2mu}\sim} + +defineMacro("\\Colonsim", "\\html@mathml{" + "\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}\\sim}}" + "{\\mathop{\\char\"2237\\char\"223c}}"); // Some Unicode characters are implemented with macros to mathtools functions. + +defineMacro("\u2237", "\\dblcolon"); // :: + +defineMacro("\u2239", "\\eqcolon"); // -: + +defineMacro("\u2254", "\\coloneqq"); // := + +defineMacro("\u2255", "\\eqqcolon"); // =: + +defineMacro("\u2A74", "\\Coloneqq"); // ::= +////////////////////////////////////////////////////////////////////// +// colonequals.sty +// Alternate names for mathtools's macros: + +defineMacro("\\ratio", "\\vcentcolon"); +defineMacro("\\coloncolon", "\\dblcolon"); +defineMacro("\\colonequals", "\\coloneqq"); +defineMacro("\\coloncolonequals", "\\Coloneqq"); +defineMacro("\\equalscolon", "\\eqqcolon"); +defineMacro("\\equalscoloncolon", "\\Eqqcolon"); +defineMacro("\\colonminus", "\\coloneq"); +defineMacro("\\coloncolonminus", "\\Coloneq"); +defineMacro("\\minuscolon", "\\eqcolon"); +defineMacro("\\minuscoloncolon", "\\Eqcolon"); // \colonapprox name is same in mathtools and colonequals. + +defineMacro("\\coloncolonapprox", "\\Colonapprox"); // \colonsim name is same in mathtools and colonequals. + +defineMacro("\\coloncolonsim", "\\Colonsim"); // Additional macros, implemented by analogy with mathtools definitions: + +defineMacro("\\simcolon", "\\mathrel{\\sim\\mathrel{\\mkern-1.2mu}\\vcentcolon}"); +defineMacro("\\simcoloncolon", "\\mathrel{\\sim\\mathrel{\\mkern-1.2mu}\\dblcolon}"); +defineMacro("\\approxcolon", "\\mathrel{\\approx\\mathrel{\\mkern-1.2mu}\\vcentcolon}"); +defineMacro("\\approxcoloncolon", "\\mathrel{\\approx\\mathrel{\\mkern-1.2mu}\\dblcolon}"); // Present in newtxmath, pxfonts and txfonts + +defineMacro("\\notni", "\\html@mathml{\\not\\ni}{\\mathrel{\\char`\u220C}}"); +defineMacro("\\limsup", "\\DOTSB\\operatorname*{lim\\,sup}"); +defineMacro("\\liminf", "\\DOTSB\\operatorname*{lim\\,inf}"); ////////////////////////////////////////////////////////////////////// +// From amsopn.sty + +defineMacro("\\injlim", "\\DOTSB\\operatorname*{inj\\,lim}"); +defineMacro("\\projlim", "\\DOTSB\\operatorname*{proj\\,lim}"); +defineMacro("\\varlimsup", "\\DOTSB\\operatorname*{\\overline{lim}}"); +defineMacro("\\varliminf", "\\DOTSB\\operatorname*{\\underline{lim}}"); +defineMacro("\\varinjlim", "\\DOTSB\\operatorname*{\\underrightarrow{lim}}"); +defineMacro("\\varprojlim", "\\DOTSB\\operatorname*{\\underleftarrow{lim}}"); ////////////////////////////////////////////////////////////////////// +// MathML alternates for KaTeX glyphs in the Unicode private area + +defineMacro("\\gvertneqq", "\\html@mathml{\\@gvertneqq}{\u2269}"); +defineMacro("\\lvertneqq", "\\html@mathml{\\@lvertneqq}{\u2268}"); +defineMacro("\\ngeqq", "\\html@mathml{\\@ngeqq}{\u2271}"); +defineMacro("\\ngeqslant", "\\html@mathml{\\@ngeqslant}{\u2271}"); +defineMacro("\\nleqq", "\\html@mathml{\\@nleqq}{\u2270}"); +defineMacro("\\nleqslant", "\\html@mathml{\\@nleqslant}{\u2270}"); +defineMacro("\\nshortmid", "\\html@mathml{\\@nshortmid}{∤}"); +defineMacro("\\nshortparallel", "\\html@mathml{\\@nshortparallel}{∦}"); +defineMacro("\\nsubseteqq", "\\html@mathml{\\@nsubseteqq}{\u2288}"); +defineMacro("\\nsupseteqq", "\\html@mathml{\\@nsupseteqq}{\u2289}"); +defineMacro("\\varsubsetneq", "\\html@mathml{\\@varsubsetneq}{⊊}"); +defineMacro("\\varsubsetneqq", "\\html@mathml{\\@varsubsetneqq}{⫋}"); +defineMacro("\\varsupsetneq", "\\html@mathml{\\@varsupsetneq}{⊋}"); +defineMacro("\\varsupsetneqq", "\\html@mathml{\\@varsupsetneqq}{⫌}"); +defineMacro("\\imath", "\\html@mathml{\\@imath}{\u0131}"); +defineMacro("\\jmath", "\\html@mathml{\\@jmath}{\u0237}"); ////////////////////////////////////////////////////////////////////// +// stmaryrd and semantic +// The stmaryrd and semantic packages render the next four items by calling a +// glyph. Those glyphs do not exist in the KaTeX fonts. Hence the macros. + +defineMacro("\\llbracket", "\\html@mathml{" + "\\mathopen{[\\mkern-3.2mu[}}" + "{\\mathopen{\\char`\u27E6}}"); +defineMacro("\\rrbracket", "\\html@mathml{" + "\\mathclose{]\\mkern-3.2mu]}}" + "{\\mathclose{\\char`\u27E7}}"); +defineMacro("\u27E6", "\\llbracket"); // blackboard bold [ + +defineMacro("\u27E7", "\\rrbracket"); // blackboard bold ] + +defineMacro("\\lBrace", "\\html@mathml{" + "\\mathopen{\\{\\mkern-3.2mu[}}" + "{\\mathopen{\\char`\u2983}}"); +defineMacro("\\rBrace", "\\html@mathml{" + "\\mathclose{]\\mkern-3.2mu\\}}}" + "{\\mathclose{\\char`\u2984}}"); +defineMacro("\u2983", "\\lBrace"); // blackboard bold { + +defineMacro("\u2984", "\\rBrace"); // blackboard bold } +// TODO: Create variable sized versions of the last two items. I believe that +// will require new font glyphs. +// The stmaryrd function `\minuso` provides a "Plimsoll" symbol that +// superimposes the characters \circ and \mathminus. Used in chemistry. + +defineMacro("\\minuso", "\\mathbin{\\html@mathml{" + "{\\mathrlap{\\mathchoice{\\kern{0.145em}}{\\kern{0.145em}}" + "{\\kern{0.1015em}}{\\kern{0.0725em}}\\circ}{-}}}" + "{\\char`⦵}}"); +defineMacro("⦵", "\\minuso"); ////////////////////////////////////////////////////////////////////// +// texvc.sty +// The texvc package contains macros available in mediawiki pages. +// We omit the functions deprecated at +// https://en.wikipedia.org/wiki/Help:Displaying_a_formula#Deprecated_syntax +// We also omit texvc's \O, which conflicts with \text{\O} + +defineMacro("\\darr", "\\downarrow"); +defineMacro("\\dArr", "\\Downarrow"); +defineMacro("\\Darr", "\\Downarrow"); +defineMacro("\\lang", "\\langle"); +defineMacro("\\rang", "\\rangle"); +defineMacro("\\uarr", "\\uparrow"); +defineMacro("\\uArr", "\\Uparrow"); +defineMacro("\\Uarr", "\\Uparrow"); +defineMacro("\\N", "\\mathbb{N}"); +defineMacro("\\R", "\\mathbb{R}"); +defineMacro("\\Z", "\\mathbb{Z}"); +defineMacro("\\alef", "\\aleph"); +defineMacro("\\alefsym", "\\aleph"); +defineMacro("\\Alpha", "\\mathrm{A}"); +defineMacro("\\Beta", "\\mathrm{B}"); +defineMacro("\\bull", "\\bullet"); +defineMacro("\\Chi", "\\mathrm{X}"); +defineMacro("\\clubs", "\\clubsuit"); +defineMacro("\\cnums", "\\mathbb{C}"); +defineMacro("\\Complex", "\\mathbb{C}"); +defineMacro("\\Dagger", "\\ddagger"); +defineMacro("\\diamonds", "\\diamondsuit"); +defineMacro("\\empty", "\\emptyset"); +defineMacro("\\Epsilon", "\\mathrm{E}"); +defineMacro("\\Eta", "\\mathrm{H}"); +defineMacro("\\exist", "\\exists"); +defineMacro("\\harr", "\\leftrightarrow"); +defineMacro("\\hArr", "\\Leftrightarrow"); +defineMacro("\\Harr", "\\Leftrightarrow"); +defineMacro("\\hearts", "\\heartsuit"); +defineMacro("\\image", "\\Im"); +defineMacro("\\infin", "\\infty"); +defineMacro("\\Iota", "\\mathrm{I}"); +defineMacro("\\isin", "\\in"); +defineMacro("\\Kappa", "\\mathrm{K}"); +defineMacro("\\larr", "\\leftarrow"); +defineMacro("\\lArr", "\\Leftarrow"); +defineMacro("\\Larr", "\\Leftarrow"); +defineMacro("\\lrarr", "\\leftrightarrow"); +defineMacro("\\lrArr", "\\Leftrightarrow"); +defineMacro("\\Lrarr", "\\Leftrightarrow"); +defineMacro("\\Mu", "\\mathrm{M}"); +defineMacro("\\natnums", "\\mathbb{N}"); +defineMacro("\\Nu", "\\mathrm{N}"); +defineMacro("\\Omicron", "\\mathrm{O}"); +defineMacro("\\plusmn", "\\pm"); +defineMacro("\\rarr", "\\rightarrow"); +defineMacro("\\rArr", "\\Rightarrow"); +defineMacro("\\Rarr", "\\Rightarrow"); +defineMacro("\\real", "\\Re"); +defineMacro("\\reals", "\\mathbb{R}"); +defineMacro("\\Reals", "\\mathbb{R}"); +defineMacro("\\Rho", "\\mathrm{P}"); +defineMacro("\\sdot", "\\cdot"); +defineMacro("\\sect", "\\S"); +defineMacro("\\spades", "\\spadesuit"); +defineMacro("\\sub", "\\subset"); +defineMacro("\\sube", "\\subseteq"); +defineMacro("\\supe", "\\supseteq"); +defineMacro("\\Tau", "\\mathrm{T}"); +defineMacro("\\thetasym", "\\vartheta"); // TODO: defineMacro("\\varcoppa", "\\\mbox{\\coppa}"); + +defineMacro("\\weierp", "\\wp"); +defineMacro("\\Zeta", "\\mathrm{Z}"); ////////////////////////////////////////////////////////////////////// +// statmath.sty +// https://ctan.math.illinois.edu/macros/latex/contrib/statmath/statmath.pdf + +defineMacro("\\argmin", "\\DOTSB\\operatorname*{arg\\,min}"); +defineMacro("\\argmax", "\\DOTSB\\operatorname*{arg\\,max}"); +defineMacro("\\plim", "\\DOTSB\\mathop{\\operatorname{plim}}\\limits"); ////////////////////////////////////////////////////////////////////// +// braket.sty +// http://ctan.math.washington.edu/tex-archive/macros/latex/contrib/braket/braket.pdf + +defineMacro("\\bra", "\\mathinner{\\langle{#1}|}"); +defineMacro("\\ket", "\\mathinner{|{#1}\\rangle}"); +defineMacro("\\braket", "\\mathinner{\\langle{#1}\\rangle}"); +defineMacro("\\Bra", "\\left\\langle#1\\right|"); +defineMacro("\\Ket", "\\left|#1\\right\\rangle"); + +var braketHelper = function braketHelper(one) { + return function (context) { + var left = context.consumeArg().tokens; + var middle = context.consumeArg().tokens; + var middleDouble = context.consumeArg().tokens; + var right = context.consumeArg().tokens; + var oldMiddle = context.macros.get("|"); + var oldMiddleDouble = context.macros.get("\\|"); + context.macros.beginGroup(); + + var midMacro = function midMacro(double) { + return function (context) { + if (one) { + // Only modify the first instance of | or \| + context.macros.set("|", oldMiddle); + + if (middleDouble.length) { + context.macros.set("\\|", oldMiddleDouble); + } + } + + var doubled = double; + + if (!double && middleDouble.length) { + // Mimic \@ifnextchar + var nextToken = context.future(); + + if (nextToken.text === "|") { + context.popToken(); + doubled = true; + } + } + + return { + tokens: doubled ? middleDouble : middle, + numArgs: 0 + }; + }; + }; + + context.macros.set("|", midMacro(false)); + + if (middleDouble.length) { + context.macros.set("\\|", midMacro(true)); + } + + var arg = context.consumeArg().tokens; + var expanded = context.expandTokens([].concat(right, arg, left)); + context.macros.endGroup(); + return { + tokens: expanded.reverse(), + numArgs: 0 + }; + }; +}; + +defineMacro("\\bra@ket", braketHelper(false)); +defineMacro("\\bra@set", braketHelper(true)); +defineMacro("\\Braket", "\\bra@ket{\\left\\langle}" + "{\\,\\middle\\vert\\,}{\\,\\middle\\vert\\,}{\\right\\rangle}"); +defineMacro("\\Set", "\\bra@set{\\left\\{\\:}" + "{\\;\\middle\\vert\\;}{\\;\\middle\\Vert\\;}{\\:\\right\\}}"); +defineMacro("\\set", "\\bra@set{\\{\\,}{\\mid}{}{\\,\\}}"); // has no support for special || or \| +////////////////////////////////////////////////////////////////////// +// actuarialangle.dtx + +defineMacro("\\angln", "{\\angl n}"); // Custom Khan Academy colors, should be moved to an optional package + +defineMacro("\\blue", "\\textcolor{##6495ed}{#1}"); +defineMacro("\\orange", "\\textcolor{##ffa500}{#1}"); +defineMacro("\\pink", "\\textcolor{##ff00af}{#1}"); +defineMacro("\\red", "\\textcolor{##df0030}{#1}"); +defineMacro("\\green", "\\textcolor{##28ae7b}{#1}"); +defineMacro("\\gray", "\\textcolor{gray}{#1}"); +defineMacro("\\purple", "\\textcolor{##9d38bd}{#1}"); +defineMacro("\\blueA", "\\textcolor{##ccfaff}{#1}"); +defineMacro("\\blueB", "\\textcolor{##80f6ff}{#1}"); +defineMacro("\\blueC", "\\textcolor{##63d9ea}{#1}"); +defineMacro("\\blueD", "\\textcolor{##11accd}{#1}"); +defineMacro("\\blueE", "\\textcolor{##0c7f99}{#1}"); +defineMacro("\\tealA", "\\textcolor{##94fff5}{#1}"); +defineMacro("\\tealB", "\\textcolor{##26edd5}{#1}"); +defineMacro("\\tealC", "\\textcolor{##01d1c1}{#1}"); +defineMacro("\\tealD", "\\textcolor{##01a995}{#1}"); +defineMacro("\\tealE", "\\textcolor{##208170}{#1}"); +defineMacro("\\greenA", "\\textcolor{##b6ffb0}{#1}"); +defineMacro("\\greenB", "\\textcolor{##8af281}{#1}"); +defineMacro("\\greenC", "\\textcolor{##74cf70}{#1}"); +defineMacro("\\greenD", "\\textcolor{##1fab54}{#1}"); +defineMacro("\\greenE", "\\textcolor{##0d923f}{#1}"); +defineMacro("\\goldA", "\\textcolor{##ffd0a9}{#1}"); +defineMacro("\\goldB", "\\textcolor{##ffbb71}{#1}"); +defineMacro("\\goldC", "\\textcolor{##ff9c39}{#1}"); +defineMacro("\\goldD", "\\textcolor{##e07d10}{#1}"); +defineMacro("\\goldE", "\\textcolor{##a75a05}{#1}"); +defineMacro("\\redA", "\\textcolor{##fca9a9}{#1}"); +defineMacro("\\redB", "\\textcolor{##ff8482}{#1}"); +defineMacro("\\redC", "\\textcolor{##f9685d}{#1}"); +defineMacro("\\redD", "\\textcolor{##e84d39}{#1}"); +defineMacro("\\redE", "\\textcolor{##bc2612}{#1}"); +defineMacro("\\maroonA", "\\textcolor{##ffbde0}{#1}"); +defineMacro("\\maroonB", "\\textcolor{##ff92c6}{#1}"); +defineMacro("\\maroonC", "\\textcolor{##ed5fa6}{#1}"); +defineMacro("\\maroonD", "\\textcolor{##ca337c}{#1}"); +defineMacro("\\maroonE", "\\textcolor{##9e034e}{#1}"); +defineMacro("\\purpleA", "\\textcolor{##ddd7ff}{#1}"); +defineMacro("\\purpleB", "\\textcolor{##c6b9fc}{#1}"); +defineMacro("\\purpleC", "\\textcolor{##aa87ff}{#1}"); +defineMacro("\\purpleD", "\\textcolor{##7854ab}{#1}"); +defineMacro("\\purpleE", "\\textcolor{##543b78}{#1}"); +defineMacro("\\mintA", "\\textcolor{##f5f9e8}{#1}"); +defineMacro("\\mintB", "\\textcolor{##edf2df}{#1}"); +defineMacro("\\mintC", "\\textcolor{##e0e5cc}{#1}"); +defineMacro("\\grayA", "\\textcolor{##f6f7f7}{#1}"); +defineMacro("\\grayB", "\\textcolor{##f0f1f2}{#1}"); +defineMacro("\\grayC", "\\textcolor{##e3e5e6}{#1}"); +defineMacro("\\grayD", "\\textcolor{##d6d8da}{#1}"); +defineMacro("\\grayE", "\\textcolor{##babec2}{#1}"); +defineMacro("\\grayF", "\\textcolor{##888d93}{#1}"); +defineMacro("\\grayG", "\\textcolor{##626569}{#1}"); +defineMacro("\\grayH", "\\textcolor{##3b3e40}{#1}"); +defineMacro("\\grayI", "\\textcolor{##21242c}{#1}"); +defineMacro("\\kaBlue", "\\textcolor{##314453}{#1}"); +defineMacro("\\kaGreen", "\\textcolor{##71B307}{#1}"); +;// CONCATENATED MODULE: ./src/MacroExpander.js +/** + * This file contains the “gullet” where macros are expanded + * until only non-macro tokens remain. + */ + + + + + + + +// List of commands that act like macros but aren't defined as a macro, +// function, or symbol. Used in `isDefined`. +var implicitCommands = { + "^": true, + // Parser.js + "_": true, + // Parser.js + "\\limits": true, + // Parser.js + "\\nolimits": true // Parser.js + +}; + +var MacroExpander = /*#__PURE__*/function () { + function MacroExpander(input, settings, mode) { + this.settings = void 0; + this.expansionCount = void 0; + this.lexer = void 0; + this.macros = void 0; + this.stack = void 0; + this.mode = void 0; + this.settings = settings; + this.expansionCount = 0; + this.feed(input); // Make new global namespace + + this.macros = new Namespace(src_macros, settings.macros); + this.mode = mode; + this.stack = []; // contains tokens in REVERSE order + } + /** + * Feed a new input string to the same MacroExpander + * (with existing macros etc.). + */ + + + var _proto = MacroExpander.prototype; + + _proto.feed = function feed(input) { + this.lexer = new Lexer(input, this.settings); + } + /** + * Switches between "text" and "math" modes. + */ + ; + + _proto.switchMode = function switchMode(newMode) { + this.mode = newMode; + } + /** + * Start a new group nesting within all namespaces. + */ + ; + + _proto.beginGroup = function beginGroup() { + this.macros.beginGroup(); + } + /** + * End current group nesting within all namespaces. + */ + ; + + _proto.endGroup = function endGroup() { + this.macros.endGroup(); + } + /** + * Ends all currently nested groups (if any), restoring values before the + * groups began. Useful in case of an error in the middle of parsing. + */ + ; + + _proto.endGroups = function endGroups() { + this.macros.endGroups(); + } + /** + * Returns the topmost token on the stack, without expanding it. + * Similar in behavior to TeX's `\futurelet`. + */ + ; + + _proto.future = function future() { + if (this.stack.length === 0) { + this.pushToken(this.lexer.lex()); + } + + return this.stack[this.stack.length - 1]; + } + /** + * Remove and return the next unexpanded token. + */ + ; + + _proto.popToken = function popToken() { + this.future(); // ensure non-empty stack + + return this.stack.pop(); + } + /** + * Add a given token to the token stack. In particular, this get be used + * to put back a token returned from one of the other methods. + */ + ; + + _proto.pushToken = function pushToken(token) { + this.stack.push(token); + } + /** + * Append an array of tokens to the token stack. + */ + ; + + _proto.pushTokens = function pushTokens(tokens) { + var _this$stack; + + (_this$stack = this.stack).push.apply(_this$stack, tokens); + } + /** + * Find an macro argument without expanding tokens and append the array of + * tokens to the token stack. Uses Token as a container for the result. + */ + ; + + _proto.scanArgument = function scanArgument(isOptional) { + var start; + var end; + var tokens; + + if (isOptional) { + this.consumeSpaces(); // \@ifnextchar gobbles any space following it + + if (this.future().text !== "[") { + return null; + } + + start = this.popToken(); // don't include [ in tokens + + var _this$consumeArg = this.consumeArg(["]"]); + + tokens = _this$consumeArg.tokens; + end = _this$consumeArg.end; + } else { + var _this$consumeArg2 = this.consumeArg(); + + tokens = _this$consumeArg2.tokens; + start = _this$consumeArg2.start; + end = _this$consumeArg2.end; + } // indicate the end of an argument + + + this.pushToken(new Token("EOF", end.loc)); + this.pushTokens(tokens); + return start.range(end, ""); + } + /** + * Consume all following space tokens, without expansion. + */ + ; + + _proto.consumeSpaces = function consumeSpaces() { + for (;;) { + var token = this.future(); + + if (token.text === " ") { + this.stack.pop(); + } else { + break; + } + } + } + /** + * Consume an argument from the token stream, and return the resulting array + * of tokens and start/end token. + */ + ; + + _proto.consumeArg = function consumeArg(delims) { + // The argument for a delimited parameter is the shortest (possibly + // empty) sequence of tokens with properly nested {...} groups that is + // followed ... by this particular list of non-parameter tokens. + // The argument for an undelimited parameter is the next nonblank + // token, unless that token is ‘{’, when the argument will be the + // entire {...} group that follows. + var tokens = []; + var isDelimited = delims && delims.length > 0; + + if (!isDelimited) { + // Ignore spaces between arguments. As the TeXbook says: + // "After you have said ‘\def\row#1#2{...}’, you are allowed to + // put spaces between the arguments (e.g., ‘\row x n’), because + // TeX doesn’t use single spaces as undelimited arguments." + this.consumeSpaces(); + } + + var start = this.future(); + var tok; + var depth = 0; + var match = 0; + + do { + tok = this.popToken(); + tokens.push(tok); + + if (tok.text === "{") { + ++depth; + } else if (tok.text === "}") { + --depth; + + if (depth === -1) { + throw new src_ParseError("Extra }", tok); + } + } else if (tok.text === "EOF") { + throw new src_ParseError("Unexpected end of input in a macro argument" + ", expected '" + (delims && isDelimited ? delims[match] : "}") + "'", tok); + } + + if (delims && isDelimited) { + if ((depth === 0 || depth === 1 && delims[match] === "{") && tok.text === delims[match]) { + ++match; + + if (match === delims.length) { + // don't include delims in tokens + tokens.splice(-match, match); + break; + } + } else { + match = 0; + } + } + } while (depth !== 0 || isDelimited); // If the argument found ... has the form ‘{}’, + // ... the outermost braces enclosing the argument are removed + + + if (start.text === "{" && tokens[tokens.length - 1].text === "}") { + tokens.pop(); + tokens.shift(); + } + + tokens.reverse(); // to fit in with stack order + + return { + tokens: tokens, + start: start, + end: tok + }; + } + /** + * Consume the specified number of (delimited) arguments from the token + * stream and return the resulting array of arguments. + */ + ; + + _proto.consumeArgs = function consumeArgs(numArgs, delimiters) { + if (delimiters) { + if (delimiters.length !== numArgs + 1) { + throw new src_ParseError("The length of delimiters doesn't match the number of args!"); + } + + var delims = delimiters[0]; + + for (var i = 0; i < delims.length; i++) { + var tok = this.popToken(); + + if (delims[i] !== tok.text) { + throw new src_ParseError("Use of the macro doesn't match its definition", tok); + } + } + } + + var args = []; + + for (var _i = 0; _i < numArgs; _i++) { + args.push(this.consumeArg(delimiters && delimiters[_i + 1]).tokens); + } + + return args; + } + /** + * Expand the next token only once if possible. + * + * If the token is expanded, the resulting tokens will be pushed onto + * the stack in reverse order and will be returned as an array, + * also in reverse order. + * + * If not, the next token will be returned without removing it + * from the stack. This case can be detected by a `Token` return value + * instead of an `Array` return value. + * + * In either case, the next token will be on the top of the stack, + * or the stack will be empty. + * + * Used to implement `expandAfterFuture` and `expandNextToken`. + * + * If expandableOnly, only expandable tokens are expanded and + * an undefined control sequence results in an error. + */ + ; + + _proto.expandOnce = function expandOnce(expandableOnly) { + var topToken = this.popToken(); + var name = topToken.text; + var expansion = !topToken.noexpand ? this._getExpansion(name) : null; + + if (expansion == null || expandableOnly && expansion.unexpandable) { + if (expandableOnly && expansion == null && name[0] === "\\" && !this.isDefined(name)) { + throw new src_ParseError("Undefined control sequence: " + name); + } + + this.pushToken(topToken); + return topToken; + } + + this.expansionCount++; + + if (this.expansionCount > this.settings.maxExpand) { + throw new src_ParseError("Too many expansions: infinite loop or " + "need to increase maxExpand setting"); + } + + var tokens = expansion.tokens; + var args = this.consumeArgs(expansion.numArgs, expansion.delimiters); + + if (expansion.numArgs) { + // paste arguments in place of the placeholders + tokens = tokens.slice(); // make a shallow copy + + for (var i = tokens.length - 1; i >= 0; --i) { + var tok = tokens[i]; + + if (tok.text === "#") { + if (i === 0) { + throw new src_ParseError("Incomplete placeholder at end of macro body", tok); + } + + tok = tokens[--i]; // next token on stack + + if (tok.text === "#") { + // ## → # + tokens.splice(i + 1, 1); // drop first # + } else if (/^[1-9]$/.test(tok.text)) { + var _tokens; + + // replace the placeholder with the indicated argument + (_tokens = tokens).splice.apply(_tokens, [i, 2].concat(args[+tok.text - 1])); + } else { + throw new src_ParseError("Not a valid argument number", tok); + } + } + } + } // Concatenate expansion onto top of stack. + + + this.pushTokens(tokens); + return tokens; + } + /** + * Expand the next token only once (if possible), and return the resulting + * top token on the stack (without removing anything from the stack). + * Similar in behavior to TeX's `\expandafter\futurelet`. + * Equivalent to expandOnce() followed by future(). + */ + ; + + _proto.expandAfterFuture = function expandAfterFuture() { + this.expandOnce(); + return this.future(); + } + /** + * Recursively expand first token, then return first non-expandable token. + */ + ; + + _proto.expandNextToken = function expandNextToken() { + for (;;) { + var expanded = this.expandOnce(); // expandOnce returns Token if and only if it's fully expanded. + + if (expanded instanceof Token) { + // the token after \noexpand is interpreted as if its meaning + // were ‘\relax’ + if (expanded.treatAsRelax) { + expanded.text = "\\relax"; + } + + return this.stack.pop(); // === expanded + } + } // Flow unable to figure out that this pathway is impossible. + // https://github.com/facebook/flow/issues/4808 + + + throw new Error(); // eslint-disable-line no-unreachable + } + /** + * Fully expand the given macro name and return the resulting list of + * tokens, or return `undefined` if no such macro is defined. + */ + ; + + _proto.expandMacro = function expandMacro(name) { + return this.macros.has(name) ? this.expandTokens([new Token(name)]) : undefined; + } + /** + * Fully expand the given token stream and return the resulting list of + * tokens. Note that the input tokens are in reverse order, but the + * output tokens are in forward order. + */ + ; + + _proto.expandTokens = function expandTokens(tokens) { + var output = []; + var oldStackLength = this.stack.length; + this.pushTokens(tokens); + + while (this.stack.length > oldStackLength) { + var expanded = this.expandOnce(true); // expand only expandable tokens + // expandOnce returns Token if and only if it's fully expanded. + + if (expanded instanceof Token) { + if (expanded.treatAsRelax) { + // the expansion of \noexpand is the token itself + expanded.noexpand = false; + expanded.treatAsRelax = false; + } + + output.push(this.stack.pop()); + } + } + + return output; + } + /** + * Fully expand the given macro name and return the result as a string, + * or return `undefined` if no such macro is defined. + */ + ; + + _proto.expandMacroAsText = function expandMacroAsText(name) { + var tokens = this.expandMacro(name); + + if (tokens) { + return tokens.map(function (token) { + return token.text; + }).join(""); + } else { + return tokens; + } + } + /** + * Returns the expanded macro as a reversed array of tokens and a macro + * argument count. Or returns `null` if no such macro. + */ + ; + + _proto._getExpansion = function _getExpansion(name) { + var definition = this.macros.get(name); + + if (definition == null) { + // mainly checking for undefined here + return definition; + } // If a single character has an associated catcode other than 13 + // (active character), then don't expand it. + + + if (name.length === 1) { + var catcode = this.lexer.catcodes[name]; + + if (catcode != null && catcode !== 13) { + return; + } + } + + var expansion = typeof definition === "function" ? definition(this) : definition; + + if (typeof expansion === "string") { + var numArgs = 0; + + if (expansion.indexOf("#") !== -1) { + var stripped = expansion.replace(/##/g, ""); + + while (stripped.indexOf("#" + (numArgs + 1)) !== -1) { + ++numArgs; + } + } + + var bodyLexer = new Lexer(expansion, this.settings); + var tokens = []; + var tok = bodyLexer.lex(); + + while (tok.text !== "EOF") { + tokens.push(tok); + tok = bodyLexer.lex(); + } + + tokens.reverse(); // to fit in with stack using push and pop + + var expanded = { + tokens: tokens, + numArgs: numArgs + }; + return expanded; + } + + return expansion; + } + /** + * Determine whether a command is currently "defined" (has some + * functionality), meaning that it's a macro (in the current group), + * a function, a symbol, or one of the special commands listed in + * `implicitCommands`. + */ + ; + + _proto.isDefined = function isDefined(name) { + return this.macros.has(name) || src_functions.hasOwnProperty(name) || src_symbols.math.hasOwnProperty(name) || src_symbols.text.hasOwnProperty(name) || implicitCommands.hasOwnProperty(name); + } + /** + * Determine whether a command is expandable. + */ + ; + + _proto.isExpandable = function isExpandable(name) { + var macro = this.macros.get(name); + return macro != null ? typeof macro === "string" || typeof macro === "function" || !macro.unexpandable : src_functions.hasOwnProperty(name) && !src_functions[name].primitive; + }; + + return MacroExpander; +}(); + + +;// CONCATENATED MODULE: ./src/unicodeSupOrSub.js +// Helpers for Parser.js handling of Unicode (sub|super)script characters. +var unicodeSubRegEx = /^[₊₋₌₍₎₀₁₂₃₄₅₆₇₈₉ₐₑₕᵢⱼₖₗₘₙₒₚᵣₛₜᵤᵥₓᵦᵧᵨᵩᵪ]/; +var uSubsAndSups = Object.freeze({ + '₊': '+', + '₋': '-', + '₌': '=', + '₍': '(', + '₎': ')', + '₀': '0', + '₁': '1', + '₂': '2', + '₃': '3', + '₄': '4', + '₅': '5', + '₆': '6', + '₇': '7', + '₈': '8', + '₉': '9', + "\u2090": 'a', + "\u2091": 'e', + "\u2095": 'h', + "\u1D62": 'i', + "\u2C7C": 'j', + "\u2096": 'k', + "\u2097": 'l', + "\u2098": 'm', + "\u2099": 'n', + "\u2092": 'o', + "\u209A": 'p', + "\u1D63": 'r', + "\u209B": 's', + "\u209C": 't', + "\u1D64": 'u', + "\u1D65": 'v', + "\u2093": 'x', + "\u1D66": 'β', + "\u1D67": 'γ', + "\u1D68": 'ρ', + "\u1D69": "\u03D5", + "\u1D6A": 'χ', + '⁺': '+', + '⁻': '-', + '⁼': '=', + '⁽': '(', + '⁾': ')', + '⁰': '0', + '¹': '1', + '²': '2', + '³': '3', + '⁴': '4', + '⁵': '5', + '⁶': '6', + '⁷': '7', + '⁸': '8', + '⁹': '9', + "\u1D2C": 'A', + "\u1D2E": 'B', + "\u1D30": 'D', + "\u1D31": 'E', + "\u1D33": 'G', + "\u1D34": 'H', + "\u1D35": 'I', + "\u1D36": 'J', + "\u1D37": 'K', + "\u1D38": 'L', + "\u1D39": 'M', + "\u1D3A": 'N', + "\u1D3C": 'O', + "\u1D3E": 'P', + "\u1D3F": 'R', + "\u1D40": 'T', + "\u1D41": 'U', + "\u2C7D": 'V', + "\u1D42": 'W', + "\u1D43": 'a', + "\u1D47": 'b', + "\u1D9C": 'c', + "\u1D48": 'd', + "\u1D49": 'e', + "\u1DA0": 'f', + "\u1D4D": 'g', + "\u02B0": 'h', + "\u2071": 'i', + "\u02B2": 'j', + "\u1D4F": 'k', + "\u02E1": 'l', + "\u1D50": 'm', + "\u207F": 'n', + "\u1D52": 'o', + "\u1D56": 'p', + "\u02B3": 'r', + "\u02E2": 's', + "\u1D57": 't', + "\u1D58": 'u', + "\u1D5B": 'v', + "\u02B7": 'w', + "\u02E3": 'x', + "\u02B8": 'y', + "\u1DBB": 'z', + "\u1D5D": 'β', + "\u1D5E": 'γ', + "\u1D5F": 'δ', + "\u1D60": "\u03D5", + "\u1D61": 'χ', + "\u1DBF": 'θ' +}); +;// CONCATENATED MODULE: ./src/Parser.js +/* eslint no-constant-condition:0 */ + + + + + + + + + + + // Pre-evaluate both modules as unicodeSymbols require String.normalize() + +var unicodeAccents = { + "́": { + "text": "\\'", + "math": "\\acute" + }, + "̀": { + "text": "\\`", + "math": "\\grave" + }, + "̈": { + "text": "\\\"", + "math": "\\ddot" + }, + "̃": { + "text": "\\~", + "math": "\\tilde" + }, + "̄": { + "text": "\\=", + "math": "\\bar" + }, + "̆": { + "text": "\\u", + "math": "\\breve" + }, + "̌": { + "text": "\\v", + "math": "\\check" + }, + "̂": { + "text": "\\^", + "math": "\\hat" + }, + "̇": { + "text": "\\.", + "math": "\\dot" + }, + "̊": { + "text": "\\r", + "math": "\\mathring" + }, + "̋": { + "text": "\\H" + }, + "̧": { + "text": "\\c" + } +}; +var unicodeSymbols = { + "á": "á", + "à": "à", + "ä": "ä", + "ǟ": "ǟ", + "ã": "ã", + "ā": "ā", + "ă": "ă", + "ắ": "ắ", + "ằ": "ằ", + "ẵ": "ẵ", + "ǎ": "ǎ", + "â": "â", + "ấ": "ấ", + "ầ": "ầ", + "ẫ": "ẫ", + "ȧ": "ȧ", + "ǡ": "ǡ", + "å": "å", + "ǻ": "ǻ", + "ḃ": "ḃ", + "ć": "ć", + "ḉ": "ḉ", + "č": "č", + "ĉ": "ĉ", + "ċ": "ċ", + "ç": "ç", + "ď": "ď", + "ḋ": "ḋ", + "ḑ": "ḑ", + "é": "é", + "è": "è", + "ë": "ë", + "ẽ": "ẽ", + "ē": "ē", + "ḗ": "ḗ", + "ḕ": "ḕ", + "ĕ": "ĕ", + "ḝ": "ḝ", + "ě": "ě", + "ê": "ê", + "ế": "ế", + "ề": "ề", + "ễ": "ễ", + "ė": "ė", + "ȩ": "ȩ", + "ḟ": "ḟ", + "ǵ": "ǵ", + "ḡ": "ḡ", + "ğ": "ğ", + "ǧ": "ǧ", + "ĝ": "ĝ", + "ġ": "ġ", + "ģ": "ģ", + "ḧ": "ḧ", + "ȟ": "ȟ", + "ĥ": "ĥ", + "ḣ": "ḣ", + "ḩ": "ḩ", + "í": "í", + "ì": "ì", + "ï": "ï", + "ḯ": "ḯ", + "ĩ": "ĩ", + "ī": "ī", + "ĭ": "ĭ", + "ǐ": "ǐ", + "î": "î", + "ǰ": "ǰ", + "ĵ": "ĵ", + "ḱ": "ḱ", + "ǩ": "ǩ", + "ķ": "ķ", + "ĺ": "ĺ", + "ľ": "ľ", + "ļ": "ļ", + "ḿ": "ḿ", + "ṁ": "ṁ", + "ń": "ń", + "ǹ": "ǹ", + "ñ": "ñ", + "ň": "ň", + "ṅ": "ṅ", + "ņ": "ņ", + "ó": "ó", + "ò": "ò", + "ö": "ö", + "ȫ": "ȫ", + "õ": "õ", + "ṍ": "ṍ", + "ṏ": "ṏ", + "ȭ": "ȭ", + "ō": "ō", + "ṓ": "ṓ", + "ṑ": "ṑ", + "ŏ": "ŏ", + "ǒ": "ǒ", + "ô": "ô", + "ố": "ố", + "ồ": "ồ", + "ỗ": "ỗ", + "ȯ": "ȯ", + "ȱ": "ȱ", + "ő": "ő", + "ṕ": "ṕ", + "ṗ": "ṗ", + "ŕ": "ŕ", + "ř": "ř", + "ṙ": "ṙ", + "ŗ": "ŗ", + "ś": "ś", + "ṥ": "ṥ", + "š": "š", + "ṧ": "ṧ", + "ŝ": "ŝ", + "ṡ": "ṡ", + "ş": "ş", + "ẗ": "ẗ", + "ť": "ť", + "ṫ": "ṫ", + "ţ": "ţ", + "ú": "ú", + "ù": "ù", + "ü": "ü", + "ǘ": "ǘ", + "ǜ": "ǜ", + "ǖ": "ǖ", + "ǚ": "ǚ", + "ũ": "ũ", + "ṹ": "ṹ", + "ū": "ū", + "ṻ": "ṻ", + "ŭ": "ŭ", + "ǔ": "ǔ", + "û": "û", + "ů": "ů", + "ű": "ű", + "ṽ": "ṽ", + "ẃ": "ẃ", + "ẁ": "ẁ", + "ẅ": "ẅ", + "ŵ": "ŵ", + "ẇ": "ẇ", + "ẘ": "ẘ", + "ẍ": "ẍ", + "ẋ": "ẋ", + "ý": "ý", + "ỳ": "ỳ", + "ÿ": "ÿ", + "ỹ": "ỹ", + "ȳ": "ȳ", + "ŷ": "ŷ", + "ẏ": "ẏ", + "ẙ": "ẙ", + "ź": "ź", + "ž": "ž", + "ẑ": "ẑ", + "ż": "ż", + "Á": "Á", + "À": "À", + "Ä": "Ä", + "Ǟ": "Ǟ", + "Ã": "Ã", + "Ā": "Ā", + "Ă": "Ă", + "Ắ": "Ắ", + "Ằ": "Ằ", + "Ẵ": "Ẵ", + "Ǎ": "Ǎ", + "Â": "Â", + "Ấ": "Ấ", + "Ầ": "Ầ", + "Ẫ": "Ẫ", + "Ȧ": "Ȧ", + "Ǡ": "Ǡ", + "Å": "Å", + "Ǻ": "Ǻ", + "Ḃ": "Ḃ", + "Ć": "Ć", + "Ḉ": "Ḉ", + "Č": "Č", + "Ĉ": "Ĉ", + "Ċ": "Ċ", + "Ç": "Ç", + "Ď": "Ď", + "Ḋ": "Ḋ", + "Ḑ": "Ḑ", + "É": "É", + "È": "È", + "Ë": "Ë", + "Ẽ": "Ẽ", + "Ē": "Ē", + "Ḗ": "Ḗ", + "Ḕ": "Ḕ", + "Ĕ": "Ĕ", + "Ḝ": "Ḝ", + "Ě": "Ě", + "Ê": "Ê", + "Ế": "Ế", + "Ề": "Ề", + "Ễ": "Ễ", + "Ė": "Ė", + "Ȩ": "Ȩ", + "Ḟ": "Ḟ", + "Ǵ": "Ǵ", + "Ḡ": "Ḡ", + "Ğ": "Ğ", + "Ǧ": "Ǧ", + "Ĝ": "Ĝ", + "Ġ": "Ġ", + "Ģ": "Ģ", + "Ḧ": "Ḧ", + "Ȟ": "Ȟ", + "Ĥ": "Ĥ", + "Ḣ": "Ḣ", + "Ḩ": "Ḩ", + "Í": "Í", + "Ì": "Ì", + "Ï": "Ï", + "Ḯ": "Ḯ", + "Ĩ": "Ĩ", + "Ī": "Ī", + "Ĭ": "Ĭ", + "Ǐ": "Ǐ", + "Î": "Î", + "İ": "İ", + "Ĵ": "Ĵ", + "Ḱ": "Ḱ", + "Ǩ": "Ǩ", + "Ķ": "Ķ", + "Ĺ": "Ĺ", + "Ľ": "Ľ", + "Ļ": "Ļ", + "Ḿ": "Ḿ", + "Ṁ": "Ṁ", + "Ń": "Ń", + "Ǹ": "Ǹ", + "Ñ": "Ñ", + "Ň": "Ň", + "Ṅ": "Ṅ", + "Ņ": "Ņ", + "Ó": "Ó", + "Ò": "Ò", + "Ö": "Ö", + "Ȫ": "Ȫ", + "Õ": "Õ", + "Ṍ": "Ṍ", + "Ṏ": "Ṏ", + "Ȭ": "Ȭ", + "Ō": "Ō", + "Ṓ": "Ṓ", + "Ṑ": "Ṑ", + "Ŏ": "Ŏ", + "Ǒ": "Ǒ", + "Ô": "Ô", + "Ố": "Ố", + "Ồ": "Ồ", + "Ỗ": "Ỗ", + "Ȯ": "Ȯ", + "Ȱ": "Ȱ", + "Ő": "Ő", + "Ṕ": "Ṕ", + "Ṗ": "Ṗ", + "Ŕ": "Ŕ", + "Ř": "Ř", + "Ṙ": "Ṙ", + "Ŗ": "Ŗ", + "Ś": "Ś", + "Ṥ": "Ṥ", + "Š": "Š", + "Ṧ": "Ṧ", + "Ŝ": "Ŝ", + "Ṡ": "Ṡ", + "Ş": "Ş", + "Ť": "Ť", + "Ṫ": "Ṫ", + "Ţ": "Ţ", + "Ú": "Ú", + "Ù": "Ù", + "Ü": "Ü", + "Ǘ": "Ǘ", + "Ǜ": "Ǜ", + "Ǖ": "Ǖ", + "Ǚ": "Ǚ", + "Ũ": "Ũ", + "Ṹ": "Ṹ", + "Ū": "Ū", + "Ṻ": "Ṻ", + "Ŭ": "Ŭ", + "Ǔ": "Ǔ", + "Û": "Û", + "Ů": "Ů", + "Ű": "Ű", + "Ṽ": "Ṽ", + "Ẃ": "Ẃ", + "Ẁ": "Ẁ", + "Ẅ": "Ẅ", + "Ŵ": "Ŵ", + "Ẇ": "Ẇ", + "Ẍ": "Ẍ", + "Ẋ": "Ẋ", + "Ý": "Ý", + "Ỳ": "Ỳ", + "Ÿ": "Ÿ", + "Ỹ": "Ỹ", + "Ȳ": "Ȳ", + "Ŷ": "Ŷ", + "Ẏ": "Ẏ", + "Ź": "Ź", + "Ž": "Ž", + "Ẑ": "Ẑ", + "Ż": "Ż", + "ά": "ά", + "ὰ": "ὰ", + "ᾱ": "ᾱ", + "ᾰ": "ᾰ", + "έ": "έ", + "ὲ": "ὲ", + "ή": "ή", + "ὴ": "ὴ", + "ί": "ί", + "ὶ": "ὶ", + "ϊ": "ϊ", + "ΐ": "ΐ", + "ῒ": "ῒ", + "ῑ": "ῑ", + "ῐ": "ῐ", + "ό": "ό", + "ὸ": "ὸ", + "ύ": "ύ", + "ὺ": "ὺ", + "ϋ": "ϋ", + "ΰ": "ΰ", + "ῢ": "ῢ", + "ῡ": "ῡ", + "ῠ": "ῠ", + "ώ": "ώ", + "ὼ": "ὼ", + "Ύ": "Ύ", + "Ὺ": "Ὺ", + "Ϋ": "Ϋ", + "Ῡ": "Ῡ", + "Ῠ": "Ῠ", + "Ώ": "Ώ", + "Ὼ": "Ὼ" +}; + +/** + * This file contains the parser used to parse out a TeX expression from the + * input. Since TeX isn't context-free, standard parsers don't work particularly + * well. + * + * The strategy of this parser is as such: + * + * The main functions (the `.parse...` ones) take a position in the current + * parse string to parse tokens from. The lexer (found in Lexer.js, stored at + * this.gullet.lexer) also supports pulling out tokens at arbitrary places. When + * individual tokens are needed at a position, the lexer is called to pull out a + * token, which is then used. + * + * The parser has a property called "mode" indicating the mode that + * the parser is currently in. Currently it has to be one of "math" or + * "text", which denotes whether the current environment is a math-y + * one or a text-y one (e.g. inside \text). Currently, this serves to + * limit the functions which can be used in text mode. + * + * The main functions then return an object which contains the useful data that + * was parsed at its given point, and a new position at the end of the parsed + * data. The main functions can call each other and continue the parsing by + * using the returned position as a new starting point. + * + * There are also extra `.handle...` functions, which pull out some reused + * functionality into self-contained functions. + * + * The functions return ParseNodes. + */ +var Parser = /*#__PURE__*/function () { + function Parser(input, settings) { + this.mode = void 0; + this.gullet = void 0; + this.settings = void 0; + this.leftrightDepth = void 0; + this.nextToken = void 0; + // Start in math mode + this.mode = "math"; // Create a new macro expander (gullet) and (indirectly via that) also a + // new lexer (mouth) for this parser (stomach, in the language of TeX) + + this.gullet = new MacroExpander(input, settings, this.mode); // Store the settings for use in parsing + + this.settings = settings; // Count leftright depth (for \middle errors) + + this.leftrightDepth = 0; + } + /** + * Checks a result to make sure it has the right type, and throws an + * appropriate error otherwise. + */ + + + var _proto = Parser.prototype; + + _proto.expect = function expect(text, consume) { + if (consume === void 0) { + consume = true; + } + + if (this.fetch().text !== text) { + throw new src_ParseError("Expected '" + text + "', got '" + this.fetch().text + "'", this.fetch()); + } + + if (consume) { + this.consume(); + } + } + /** + * Discards the current lookahead token, considering it consumed. + */ + ; + + _proto.consume = function consume() { + this.nextToken = null; + } + /** + * Return the current lookahead token, or if there isn't one (at the + * beginning, or if the previous lookahead token was consume()d), + * fetch the next token as the new lookahead token and return it. + */ + ; + + _proto.fetch = function fetch() { + if (this.nextToken == null) { + this.nextToken = this.gullet.expandNextToken(); + } + + return this.nextToken; + } + /** + * Switches between "text" and "math" modes. + */ + ; + + _proto.switchMode = function switchMode(newMode) { + this.mode = newMode; + this.gullet.switchMode(newMode); + } + /** + * Main parsing function, which parses an entire input. + */ + ; + + _proto.parse = function parse() { + if (!this.settings.globalGroup) { + // Create a group namespace for the math expression. + // (LaTeX creates a new group for every $...$, $$...$$, \[...\].) + this.gullet.beginGroup(); + } // Use old \color behavior (same as LaTeX's \textcolor) if requested. + // We do this within the group for the math expression, so it doesn't + // pollute settings.macros. + + + if (this.settings.colorIsTextColor) { + this.gullet.macros.set("\\color", "\\textcolor"); + } + + try { + // Try to parse the input + var parse = this.parseExpression(false); // If we succeeded, make sure there's an EOF at the end + + this.expect("EOF"); // End the group namespace for the expression + + if (!this.settings.globalGroup) { + this.gullet.endGroup(); + } + + return parse; // Close any leftover groups in case of a parse error. + } finally { + this.gullet.endGroups(); + } + } + /** + * Fully parse a separate sequence of tokens as a separate job. + * Tokens should be specified in reverse order, as in a MacroDefinition. + */ + ; + + _proto.subparse = function subparse(tokens) { + // Save the next token from the current job. + var oldToken = this.nextToken; + this.consume(); // Run the new job, terminating it with an excess '}' + + this.gullet.pushToken(new Token("}")); + this.gullet.pushTokens(tokens); + var parse = this.parseExpression(false); + this.expect("}"); // Restore the next token from the current job. + + this.nextToken = oldToken; + return parse; + }; + + /** + * Parses an "expression", which is a list of atoms. + * + * `breakOnInfix`: Should the parsing stop when we hit infix nodes? This + * happens when functions have higher precendence han infix + * nodes in implicit parses. + * + * `breakOnTokenText`: The text of the token that the expression should end + * with, or `null` if something else should end the + * expression. + */ + _proto.parseExpression = function parseExpression(breakOnInfix, breakOnTokenText) { + var body = []; // Keep adding atoms to the body until we can't parse any more atoms (either + // we reached the end, a }, or a \right) + + while (true) { + // Ignore spaces in math mode + if (this.mode === "math") { + this.consumeSpaces(); + } + + var lex = this.fetch(); + + if (Parser.endOfExpression.indexOf(lex.text) !== -1) { + break; + } + + if (breakOnTokenText && lex.text === breakOnTokenText) { + break; + } + + if (breakOnInfix && src_functions[lex.text] && src_functions[lex.text].infix) { + break; + } + + var atom = this.parseAtom(breakOnTokenText); + + if (!atom) { + break; + } else if (atom.type === "internal") { + continue; + } + + body.push(atom); + } + + if (this.mode === "text") { + this.formLigatures(body); + } + + return this.handleInfixNodes(body); + } + /** + * Rewrites infix operators such as \over with corresponding commands such + * as \frac. + * + * There can only be one infix operator per group. If there's more than one + * then the expression is ambiguous. This can be resolved by adding {}. + */ + ; + + _proto.handleInfixNodes = function handleInfixNodes(body) { + var overIndex = -1; + var funcName; + + for (var i = 0; i < body.length; i++) { + if (body[i].type === "infix") { + if (overIndex !== -1) { + throw new src_ParseError("only one infix operator per group", body[i].token); + } + + overIndex = i; + funcName = body[i].replaceWith; + } + } + + if (overIndex !== -1 && funcName) { + var numerNode; + var denomNode; + var numerBody = body.slice(0, overIndex); + var denomBody = body.slice(overIndex + 1); + + if (numerBody.length === 1 && numerBody[0].type === "ordgroup") { + numerNode = numerBody[0]; + } else { + numerNode = { + type: "ordgroup", + mode: this.mode, + body: numerBody + }; + } + + if (denomBody.length === 1 && denomBody[0].type === "ordgroup") { + denomNode = denomBody[0]; + } else { + denomNode = { + type: "ordgroup", + mode: this.mode, + body: denomBody + }; + } + + var node; + + if (funcName === "\\\\abovefrac") { + node = this.callFunction(funcName, [numerNode, body[overIndex], denomNode], []); + } else { + node = this.callFunction(funcName, [numerNode, denomNode], []); + } + + return [node]; + } else { + return body; + } + } + /** + * Handle a subscript or superscript with nice errors. + */ + ; + + _proto.handleSupSubscript = function handleSupSubscript(name // For error reporting. + ) { + var symbolToken = this.fetch(); + var symbol = symbolToken.text; + this.consume(); + this.consumeSpaces(); // ignore spaces before sup/subscript argument + + var group = this.parseGroup(name); + + if (!group) { + throw new src_ParseError("Expected group after '" + symbol + "'", symbolToken); + } + + return group; + } + /** + * Converts the textual input of an unsupported command into a text node + * contained within a color node whose color is determined by errorColor + */ + ; + + _proto.formatUnsupportedCmd = function formatUnsupportedCmd(text) { + var textordArray = []; + + for (var i = 0; i < text.length; i++) { + textordArray.push({ + type: "textord", + mode: "text", + text: text[i] + }); + } + + var textNode = { + type: "text", + mode: this.mode, + body: textordArray + }; + var colorNode = { + type: "color", + mode: this.mode, + color: this.settings.errorColor, + body: [textNode] + }; + return colorNode; + } + /** + * Parses a group with optional super/subscripts. + */ + ; + + _proto.parseAtom = function parseAtom(breakOnTokenText) { + // The body of an atom is an implicit group, so that things like + // \left(x\right)^2 work correctly. + var base = this.parseGroup("atom", breakOnTokenText); // In text mode, we don't have superscripts or subscripts + + if (this.mode === "text") { + return base; + } // Note that base may be empty (i.e. null) at this point. + + + var superscript; + var subscript; + + while (true) { + // Guaranteed in math mode, so eat any spaces first. + this.consumeSpaces(); // Lex the first token + + var lex = this.fetch(); + + if (lex.text === "\\limits" || lex.text === "\\nolimits") { + // We got a limit control + if (base && base.type === "op") { + var limits = lex.text === "\\limits"; + base.limits = limits; + base.alwaysHandleSupSub = true; + } else if (base && base.type === "operatorname") { + if (base.alwaysHandleSupSub) { + base.limits = lex.text === "\\limits"; + } + } else { + throw new src_ParseError("Limit controls must follow a math operator", lex); + } + + this.consume(); + } else if (lex.text === "^") { + // We got a superscript start + if (superscript) { + throw new src_ParseError("Double superscript", lex); + } + + superscript = this.handleSupSubscript("superscript"); + } else if (lex.text === "_") { + // We got a subscript start + if (subscript) { + throw new src_ParseError("Double subscript", lex); + } + + subscript = this.handleSupSubscript("subscript"); + } else if (lex.text === "'") { + // We got a prime + if (superscript) { + throw new src_ParseError("Double superscript", lex); + } + + var prime = { + type: "textord", + mode: this.mode, + text: "\\prime" + }; // Many primes can be grouped together, so we handle this here + + var primes = [prime]; + this.consume(); // Keep lexing tokens until we get something that's not a prime + + while (this.fetch().text === "'") { + // For each one, add another prime to the list + primes.push(prime); + this.consume(); + } // If there's a superscript following the primes, combine that + // superscript in with the primes. + + + if (this.fetch().text === "^") { + primes.push(this.handleSupSubscript("superscript")); + } // Put everything into an ordgroup as the superscript + + + superscript = { + type: "ordgroup", + mode: this.mode, + body: primes + }; + } else if (uSubsAndSups[lex.text]) { + // A Unicode subscript or superscript character. + // We treat these similarly to the unicode-math package. + // So we render a string of Unicode (sub|super)scripts the + // same as a (sub|super)script of regular characters. + var str = uSubsAndSups[lex.text]; + var isSub = unicodeSubRegEx.test(lex.text); + this.consume(); // Continue fetching tokens to fill out the string. + + while (true) { + var token = this.fetch().text; + + if (!uSubsAndSups[token]) { + break; + } + + if (unicodeSubRegEx.test(token) !== isSub) { + break; + } + + this.consume(); + str += uSubsAndSups[token]; + } // Now create a (sub|super)script. + + + var body = new Parser(str, this.settings).parse(); + + if (isSub) { + subscript = { + type: "ordgroup", + mode: "math", + body: body + }; + } else { + superscript = { + type: "ordgroup", + mode: "math", + body: body + }; + } + } else { + // If it wasn't ^, _, or ', stop parsing super/subscripts + break; + } + } // Base must be set if superscript or subscript are set per logic above, + // but need to check here for type check to pass. + + + if (superscript || subscript) { + // If we got either a superscript or subscript, create a supsub + return { + type: "supsub", + mode: this.mode, + base: base, + sup: superscript, + sub: subscript + }; + } else { + // Otherwise return the original body + return base; + } + } + /** + * Parses an entire function, including its base and all of its arguments. + */ + ; + + _proto.parseFunction = function parseFunction(breakOnTokenText, name // For determining its context + ) { + var token = this.fetch(); + var func = token.text; + var funcData = src_functions[func]; + + if (!funcData) { + return null; + } + + this.consume(); // consume command token + + if (name && name !== "atom" && !funcData.allowedInArgument) { + throw new src_ParseError("Got function '" + func + "' with no arguments" + (name ? " as " + name : ""), token); + } else if (this.mode === "text" && !funcData.allowedInText) { + throw new src_ParseError("Can't use function '" + func + "' in text mode", token); + } else if (this.mode === "math" && funcData.allowedInMath === false) { + throw new src_ParseError("Can't use function '" + func + "' in math mode", token); + } + + var _this$parseArguments = this.parseArguments(func, funcData), + args = _this$parseArguments.args, + optArgs = _this$parseArguments.optArgs; + + return this.callFunction(func, args, optArgs, token, breakOnTokenText); + } + /** + * Call a function handler with a suitable context and arguments. + */ + ; + + _proto.callFunction = function callFunction(name, args, optArgs, token, breakOnTokenText) { + var context = { + funcName: name, + parser: this, + token: token, + breakOnTokenText: breakOnTokenText + }; + var func = src_functions[name]; + + if (func && func.handler) { + return func.handler(context, args, optArgs); + } else { + throw new src_ParseError("No function handler for " + name); + } + } + /** + * Parses the arguments of a function or environment + */ + ; + + _proto.parseArguments = function parseArguments(func, // Should look like "\name" or "\begin{name}". + funcData) { + var totalArgs = funcData.numArgs + funcData.numOptionalArgs; + + if (totalArgs === 0) { + return { + args: [], + optArgs: [] + }; + } + + var args = []; + var optArgs = []; + + for (var i = 0; i < totalArgs; i++) { + var argType = funcData.argTypes && funcData.argTypes[i]; + var isOptional = i < funcData.numOptionalArgs; + + if (funcData.primitive && argType == null || // \sqrt expands into primitive if optional argument doesn't exist + funcData.type === "sqrt" && i === 1 && optArgs[0] == null) { + argType = "primitive"; + } + + var arg = this.parseGroupOfType("argument to '" + func + "'", argType, isOptional); + + if (isOptional) { + optArgs.push(arg); + } else if (arg != null) { + args.push(arg); + } else { + // should be unreachable + throw new src_ParseError("Null argument, please report this as a bug"); + } + } + + return { + args: args, + optArgs: optArgs + }; + } + /** + * Parses a group when the mode is changing. + */ + ; + + _proto.parseGroupOfType = function parseGroupOfType(name, type, optional) { + switch (type) { + case "color": + return this.parseColorGroup(optional); + + case "size": + return this.parseSizeGroup(optional); + + case "url": + return this.parseUrlGroup(optional); + + case "math": + case "text": + return this.parseArgumentGroup(optional, type); + + case "hbox": + { + // hbox argument type wraps the argument in the equivalent of + // \hbox, which is like \text but switching to \textstyle size. + var group = this.parseArgumentGroup(optional, "text"); + return group != null ? { + type: "styling", + mode: group.mode, + body: [group], + style: "text" // simulate \textstyle + + } : null; + } + + case "raw": + { + var token = this.parseStringGroup("raw", optional); + return token != null ? { + type: "raw", + mode: "text", + string: token.text + } : null; + } + + case "primitive": + { + if (optional) { + throw new src_ParseError("A primitive argument cannot be optional"); + } + + var _group = this.parseGroup(name); + + if (_group == null) { + throw new src_ParseError("Expected group as " + name, this.fetch()); + } + + return _group; + } + + case "original": + case null: + case undefined: + return this.parseArgumentGroup(optional); + + default: + throw new src_ParseError("Unknown group type as " + name, this.fetch()); + } + } + /** + * Discard any space tokens, fetching the next non-space token. + */ + ; + + _proto.consumeSpaces = function consumeSpaces() { + while (this.fetch().text === " ") { + this.consume(); + } + } + /** + * Parses a group, essentially returning the string formed by the + * brace-enclosed tokens plus some position information. + */ + ; + + _proto.parseStringGroup = function parseStringGroup(modeName, // Used to describe the mode in error messages. + optional) { + var argToken = this.gullet.scanArgument(optional); + + if (argToken == null) { + return null; + } + + var str = ""; + var nextToken; + + while ((nextToken = this.fetch()).text !== "EOF") { + str += nextToken.text; + this.consume(); + } + + this.consume(); // consume the end of the argument + + argToken.text = str; + return argToken; + } + /** + * Parses a regex-delimited group: the largest sequence of tokens + * whose concatenated strings match `regex`. Returns the string + * formed by the tokens plus some position information. + */ + ; + + _proto.parseRegexGroup = function parseRegexGroup(regex, modeName // Used to describe the mode in error messages. + ) { + var firstToken = this.fetch(); + var lastToken = firstToken; + var str = ""; + var nextToken; + + while ((nextToken = this.fetch()).text !== "EOF" && regex.test(str + nextToken.text)) { + lastToken = nextToken; + str += lastToken.text; + this.consume(); + } + + if (str === "") { + throw new src_ParseError("Invalid " + modeName + ": '" + firstToken.text + "'", firstToken); + } + + return firstToken.range(lastToken, str); + } + /** + * Parses a color description. + */ + ; + + _proto.parseColorGroup = function parseColorGroup(optional) { + var res = this.parseStringGroup("color", optional); + + if (res == null) { + return null; + } + + var match = /^(#[a-f0-9]{3}|#?[a-f0-9]{6}|[a-z]+)$/i.exec(res.text); + + if (!match) { + throw new src_ParseError("Invalid color: '" + res.text + "'", res); + } + + var color = match[0]; + + if (/^[0-9a-f]{6}$/i.test(color)) { + // We allow a 6-digit HTML color spec without a leading "#". + // This follows the xcolor package's HTML color model. + // Predefined color names are all missed by this RegEx pattern. + color = "#" + color; + } + + return { + type: "color-token", + mode: this.mode, + color: color + }; + } + /** + * Parses a size specification, consisting of magnitude and unit. + */ + ; + + _proto.parseSizeGroup = function parseSizeGroup(optional) { + var res; + var isBlank = false; // don't expand before parseStringGroup + + this.gullet.consumeSpaces(); + + if (!optional && this.gullet.future().text !== "{") { + res = this.parseRegexGroup(/^[-+]? *(?:$|\d+|\d+\.\d*|\.\d*) *[a-z]{0,2} *$/, "size"); + } else { + res = this.parseStringGroup("size", optional); + } + + if (!res) { + return null; + } + + if (!optional && res.text.length === 0) { + // Because we've tested for what is !optional, this block won't + // affect \kern, \hspace, etc. It will capture the mandatory arguments + // to \genfrac and \above. + res.text = "0pt"; // Enable \above{} + + isBlank = true; // This is here specifically for \genfrac + } + + var match = /([-+]?) *(\d+(?:\.\d*)?|\.\d+) *([a-z]{2})/.exec(res.text); + + if (!match) { + throw new src_ParseError("Invalid size: '" + res.text + "'", res); + } + + var data = { + number: +(match[1] + match[2]), + // sign + magnitude, cast to number + unit: match[3] + }; + + if (!validUnit(data)) { + throw new src_ParseError("Invalid unit: '" + data.unit + "'", res); + } + + return { + type: "size", + mode: this.mode, + value: data, + isBlank: isBlank + }; + } + /** + * Parses an URL, checking escaped letters and allowed protocols, + * and setting the catcode of % as an active character (as in \hyperref). + */ + ; + + _proto.parseUrlGroup = function parseUrlGroup(optional) { + this.gullet.lexer.setCatcode("%", 13); // active character + + this.gullet.lexer.setCatcode("~", 12); // other character + + var res = this.parseStringGroup("url", optional); + this.gullet.lexer.setCatcode("%", 14); // comment character + + this.gullet.lexer.setCatcode("~", 13); // active character + + if (res == null) { + return null; + } // hyperref package allows backslashes alone in href, but doesn't + // generate valid links in such cases; we interpret this as + // "undefined" behaviour, and keep them as-is. Some browser will + // replace backslashes with forward slashes. + + + var url = res.text.replace(/\\([#$%&~_^{}])/g, '$1'); + return { + type: "url", + mode: this.mode, + url: url + }; + } + /** + * Parses an argument with the mode specified. + */ + ; + + _proto.parseArgumentGroup = function parseArgumentGroup(optional, mode) { + var argToken = this.gullet.scanArgument(optional); + + if (argToken == null) { + return null; + } + + var outerMode = this.mode; + + if (mode) { + // Switch to specified mode + this.switchMode(mode); + } + + this.gullet.beginGroup(); + var expression = this.parseExpression(false, "EOF"); // TODO: find an alternative way to denote the end + + this.expect("EOF"); // expect the end of the argument + + this.gullet.endGroup(); + var result = { + type: "ordgroup", + mode: this.mode, + loc: argToken.loc, + body: expression + }; + + if (mode) { + // Switch mode back + this.switchMode(outerMode); + } + + return result; + } + /** + * Parses an ordinary group, which is either a single nucleus (like "x") + * or an expression in braces (like "{x+y}") or an implicit group, a group + * that starts at the current position, and ends right before a higher explicit + * group ends, or at EOF. + */ + ; + + _proto.parseGroup = function parseGroup(name, // For error reporting. + breakOnTokenText) { + var firstToken = this.fetch(); + var text = firstToken.text; + var result; // Try to parse an open brace or \begingroup + + if (text === "{" || text === "\\begingroup") { + this.consume(); + var groupEnd = text === "{" ? "}" : "\\endgroup"; + this.gullet.beginGroup(); // If we get a brace, parse an expression + + var expression = this.parseExpression(false, groupEnd); + var lastToken = this.fetch(); + this.expect(groupEnd); // Check that we got a matching closing brace + + this.gullet.endGroup(); + result = { + type: "ordgroup", + mode: this.mode, + loc: SourceLocation.range(firstToken, lastToken), + body: expression, + // A group formed by \begingroup...\endgroup is a semi-simple group + // which doesn't affect spacing in math mode, i.e., is transparent. + // https://tex.stackexchange.com/questions/1930/when-should-one- + // use-begingroup-instead-of-bgroup + semisimple: text === "\\begingroup" || undefined + }; + } else { + // If there exists a function with this name, parse the function. + // Otherwise, just return a nucleus + result = this.parseFunction(breakOnTokenText, name) || this.parseSymbol(); + + if (result == null && text[0] === "\\" && !implicitCommands.hasOwnProperty(text)) { + if (this.settings.throwOnError) { + throw new src_ParseError("Undefined control sequence: " + text, firstToken); + } + + result = this.formatUnsupportedCmd(text); + this.consume(); + } + } + + return result; + } + /** + * Form ligature-like combinations of characters for text mode. + * This includes inputs like "--", "---", "``" and "''". + * The result will simply replace multiple textord nodes with a single + * character in each value by a single textord node having multiple + * characters in its value. The representation is still ASCII source. + * The group will be modified in place. + */ + ; + + _proto.formLigatures = function formLigatures(group) { + var n = group.length - 1; + + for (var i = 0; i < n; ++i) { + var a = group[i]; // $FlowFixMe: Not every node type has a `text` property. + + var v = a.text; + + if (v === "-" && group[i + 1].text === "-") { + if (i + 1 < n && group[i + 2].text === "-") { + group.splice(i, 3, { + type: "textord", + mode: "text", + loc: SourceLocation.range(a, group[i + 2]), + text: "---" + }); + n -= 2; + } else { + group.splice(i, 2, { + type: "textord", + mode: "text", + loc: SourceLocation.range(a, group[i + 1]), + text: "--" + }); + n -= 1; + } + } + + if ((v === "'" || v === "`") && group[i + 1].text === v) { + group.splice(i, 2, { + type: "textord", + mode: "text", + loc: SourceLocation.range(a, group[i + 1]), + text: v + v + }); + n -= 1; + } + } + } + /** + * Parse a single symbol out of the string. Here, we handle single character + * symbols and special functions like \verb. + */ + ; + + _proto.parseSymbol = function parseSymbol() { + var nucleus = this.fetch(); + var text = nucleus.text; + + if (/^\\verb[^a-zA-Z]/.test(text)) { + this.consume(); + var arg = text.slice(5); + var star = arg.charAt(0) === "*"; + + if (star) { + arg = arg.slice(1); + } // Lexer's tokenRegex is constructed to always have matching + // first/last characters. + + + if (arg.length < 2 || arg.charAt(0) !== arg.slice(-1)) { + throw new src_ParseError("\\verb assertion failed --\n please report what input caused this bug"); + } + + arg = arg.slice(1, -1); // remove first and last char + + return { + type: "verb", + mode: "text", + body: arg, + star: star + }; + } // At this point, we should have a symbol, possibly with accents. + // First expand any accented base symbol according to unicodeSymbols. + + + if (unicodeSymbols.hasOwnProperty(text[0]) && !src_symbols[this.mode][text[0]]) { + // This behavior is not strict (XeTeX-compatible) in math mode. + if (this.settings.strict && this.mode === "math") { + this.settings.reportNonstrict("unicodeTextInMathMode", "Accented Unicode text character \"" + text[0] + "\" used in " + "math mode", nucleus); + } + + text = unicodeSymbols[text[0]] + text.slice(1); + } // Strip off any combining characters + + + var match = combiningDiacriticalMarksEndRegex.exec(text); + + if (match) { + text = text.substring(0, match.index); + + if (text === 'i') { + text = "\u0131"; // dotless i, in math and text mode + } else if (text === 'j') { + text = "\u0237"; // dotless j, in math and text mode + } + } // Recognize base symbol + + + var symbol; + + if (src_symbols[this.mode][text]) { + if (this.settings.strict && this.mode === 'math' && extraLatin.indexOf(text) >= 0) { + this.settings.reportNonstrict("unicodeTextInMathMode", "Latin-1/Unicode text character \"" + text[0] + "\" used in " + "math mode", nucleus); + } + + var group = src_symbols[this.mode][text].group; + var loc = SourceLocation.range(nucleus); + var s; + + if (ATOMS.hasOwnProperty(group)) { + // $FlowFixMe + var family = group; + s = { + type: "atom", + mode: this.mode, + family: family, + loc: loc, + text: text + }; + } else { + // $FlowFixMe + s = { + type: group, + mode: this.mode, + loc: loc, + text: text + }; + } // $FlowFixMe + + + symbol = s; + } else if (text.charCodeAt(0) >= 0x80) { + // no symbol for e.g. ^ + if (this.settings.strict) { + if (!supportedCodepoint(text.charCodeAt(0))) { + this.settings.reportNonstrict("unknownSymbol", "Unrecognized Unicode character \"" + text[0] + "\"" + (" (" + text.charCodeAt(0) + ")"), nucleus); + } else if (this.mode === "math") { + this.settings.reportNonstrict("unicodeTextInMathMode", "Unicode text character \"" + text[0] + "\" used in math mode", nucleus); + } + } // All nonmathematical Unicode characters are rendered as if they + // are in text mode (wrapped in \text) because that's what it + // takes to render them in LaTeX. Setting `mode: this.mode` is + // another natural choice (the user requested math mode), but + // this makes it more difficult for getCharacterMetrics() to + // distinguish Unicode characters without metrics and those for + // which we want to simulate the letter M. + + + symbol = { + type: "textord", + mode: "text", + loc: SourceLocation.range(nucleus), + text: text + }; + } else { + return null; // EOF, ^, _, {, }, etc. + } + + this.consume(); // Transform combining characters into accents + + if (match) { + for (var i = 0; i < match[0].length; i++) { + var accent = match[0][i]; + + if (!unicodeAccents[accent]) { + throw new src_ParseError("Unknown accent ' " + accent + "'", nucleus); + } + + var command = unicodeAccents[accent][this.mode] || unicodeAccents[accent].text; + + if (!command) { + throw new src_ParseError("Accent " + accent + " unsupported in " + this.mode + " mode", nucleus); + } + + symbol = { + type: "accent", + mode: this.mode, + loc: SourceLocation.range(nucleus), + label: command, + isStretchy: false, + isShifty: true, + // $FlowFixMe + base: symbol + }; + } + } // $FlowFixMe + + + return symbol; + }; + + return Parser; +}(); + +Parser.endOfExpression = ["}", "\\endgroup", "\\end", "\\right", "&"]; + +;// CONCATENATED MODULE: ./src/parseTree.js +/** + * Provides a single function for parsing an expression using a Parser + * TODO(emily): Remove this + */ + + + + +/** + * Parses an expression using a Parser, then returns the parsed result. + */ +var parseTree = function parseTree(toParse, settings) { + if (!(typeof toParse === 'string' || toParse instanceof String)) { + throw new TypeError('KaTeX can only parse string typed expression'); + } + + var parser = new Parser(toParse, settings); // Blank out any \df@tag to avoid spurious "Duplicate \tag" errors + + delete parser.gullet.macros.current["\\df@tag"]; + var tree = parser.parse(); // Prevent a color definition from persisting between calls to katex.render(). + + delete parser.gullet.macros.current["\\current@color"]; + delete parser.gullet.macros.current["\\color"]; // If the input used \tag, it will set the \df@tag macro to the tag. + // In this case, we separately parse the tag and wrap the tree. + + if (parser.gullet.macros.get("\\df@tag")) { + if (!settings.displayMode) { + throw new src_ParseError("\\tag works only in display equations"); + } + + tree = [{ + type: "tag", + mode: "text", + body: tree, + tag: parser.subparse([new Token("\\df@tag")]) + }]; + } + + return tree; +}; + +/* harmony default export */ var src_parseTree = (parseTree); +;// CONCATENATED MODULE: ./katex.js +/* eslint no-console:0 */ + +/** + * This is the main entry point for KaTeX. Here, we expose functions for + * rendering expressions either to DOM nodes or to markup strings. + * + * We also expose the ParseError class to check if errors thrown from KaTeX are + * errors in the expression, or errors in javascript handling. + */ + + + + + + + + + + +/** + * Parse and build an expression, and place that expression in the DOM node + * given. + */ +var render = function render(expression, baseNode, options) { + baseNode.textContent = ""; + var node = renderToDomTree(expression, options).toNode(); + baseNode.appendChild(node); +}; // KaTeX's styles don't work properly in quirks mode. Print out an error, and +// disable rendering. + + +if (typeof document !== "undefined") { + if (document.compatMode !== "CSS1Compat") { + typeof console !== "undefined" && console.warn("Warning: KaTeX doesn't work in quirks mode. Make sure your " + "website has a suitable doctype."); + + render = function render() { + throw new src_ParseError("KaTeX doesn't work in quirks mode."); + }; + } +} +/** + * Parse and build an expression, and return the markup for that. + */ + + +var renderToString = function renderToString(expression, options) { + var markup = renderToDomTree(expression, options).toMarkup(); + return markup; +}; +/** + * Parse an expression and return the parse tree. + */ + + +var generateParseTree = function generateParseTree(expression, options) { + var settings = new Settings(options); + return src_parseTree(expression, settings); +}; +/** + * If the given error is a KaTeX ParseError and options.throwOnError is false, + * renders the invalid LaTeX as a span with hover title giving the KaTeX + * error message. Otherwise, simply throws the error. + */ + + +var renderError = function renderError(error, expression, options) { + if (options.throwOnError || !(error instanceof src_ParseError)) { + throw error; + } + + var node = buildCommon.makeSpan(["katex-error"], [new SymbolNode(expression)]); + node.setAttribute("title", error.toString()); + node.setAttribute("style", "color:" + options.errorColor); + return node; +}; +/** + * Generates and returns the katex build tree. This is used for advanced + * use cases (like rendering to custom output). + */ + + +var renderToDomTree = function renderToDomTree(expression, options) { + var settings = new Settings(options); + + try { + var tree = src_parseTree(expression, settings); + return buildTree(tree, expression, settings); + } catch (error) { + return renderError(error, expression, settings); + } +}; +/** + * Generates and returns the katex build tree, with just HTML (no MathML). + * This is used for advanced use cases (like rendering to custom output). + */ + + +var renderToHTMLTree = function renderToHTMLTree(expression, options) { + var settings = new Settings(options); + + try { + var tree = src_parseTree(expression, settings); + return buildHTMLTree(tree, expression, settings); + } catch (error) { + return renderError(error, expression, settings); + } +}; + +/* harmony default export */ var katex = ({ + /** + * Current KaTeX version + */ + version: "0.16.4", + + /** + * Renders the given LaTeX into an HTML+MathML combination, and adds + * it as a child to the specified DOM node. + */ + render: render, + + /** + * Renders the given LaTeX into an HTML+MathML combination string, + * for sending to the client. + */ + renderToString: renderToString, + + /** + * KaTeX error, usually during parsing. + */ + ParseError: src_ParseError, + + /** + * The shema of Settings + */ + SETTINGS_SCHEMA: SETTINGS_SCHEMA, + + /** + * Parses the given LaTeX into KaTeX's internal parse tree structure, + * without rendering to HTML or MathML. + * + * NOTE: This method is not currently recommended for public use. + * The internal tree representation is unstable and is very likely + * to change. Use at your own risk. + */ + __parse: generateParseTree, + + /** + * Renders the given LaTeX into an HTML+MathML internal DOM tree + * representation, without flattening that representation to a string. + * + * NOTE: This method is not currently recommended for public use. + * The internal tree representation is unstable and is very likely + * to change. Use at your own risk. + */ + __renderToDomTree: renderToDomTree, + + /** + * Renders the given LaTeX into an HTML internal DOM tree representation, + * without MathML and without flattening that representation to a string. + * + * NOTE: This method is not currently recommended for public use. + * The internal tree representation is unstable and is very likely + * to change. Use at your own risk. + */ + __renderToHTMLTree: renderToHTMLTree, + + /** + * extends internal font metrics object with a new object + * each key in the new object represents a font name + */ + __setFontMetrics: setFontMetrics, + + /** + * adds a new symbol to builtin symbols table + */ + __defineSymbol: defineSymbol, + + /** + * adds a new macro to builtin macro list + */ + __defineMacro: defineMacro, + + /** + * Expose the dom tree node types, which can be useful for type checking nodes. + * + * NOTE: This method is not currently recommended for public use. + * The internal tree representation is unstable and is very likely + * to change. Use at your own risk. + */ + __domTree: { + Span: Span, + Anchor: Anchor, + SymbolNode: SymbolNode, + SvgNode: SvgNode, + PathNode: PathNode, + LineNode: LineNode + } +}); +;// CONCATENATED MODULE: ./katex.webpack.js +/** + * This is the webpack entry point for KaTeX. 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e(e,t){this.mode=void 0,this.gullet=void 0,this.settings=void 0,this.leftrightDepth=void 0,this.nextToken=void 0,this.mode="math",this.gullet=new Un(e,t,this.mode),this.settings=t,this.leftrightDepth=0}var t=e.prototype;return t.expect=function(e,t){if(void 0===t&&(t=!0),this.fetch().text!==e)throw new n("Expected '"+e+"', got '"+this.fetch().text+"'",this.fetch());t&&this.consume()},t.consume=function(){this.nextToken=null},t.fetch=function(){return null==this.nextToken&&(this.nextToken=this.gullet.expandNextToken()),this.nextToken},t.switchMode=function(e){this.mode=e,this.gullet.switchMode(e)},t.parse=function(){this.settings.globalGroup||this.gullet.beginGroup(),this.settings.colorIsTextColor&&this.gullet.macros.set("\\color","\\textcolor");try{var e=this.parseExpression(!1);return this.expect("EOF"),this.settings.globalGroup||this.gullet.endGroup(),e}finally{this.gullet.endGroups()}},t.subparse=function(e){var t=this.nextToken;this.consume(),this.gullet.pushToken(new Gr("}")),this.gullet.pushTokens(e);var r=this.parseExpression(!1);return this.expect("}"),this.nextToken=t,r},t.parseExpression=function(t,r){for(var n=[];;){"math"===this.mode&&this.consumeSpaces();var a=this.fetch();if(-1!==e.endOfExpression.indexOf(a.text))break;if(r&&a.text===r)break;if(t&&qn[a.text]&&qn[a.text].infix)break;var i=this.parseAtom(r);if(!i)break;"internal"!==i.type&&n.push(i)}return"text"===this.mode&&this.formLigatures(n),this.handleInfixNodes(n)},t.handleInfixNodes=function(e){for(var t,r=-1,a=0;a=0&&this.settings.reportNonstrict("unicodeTextInMathMode",'Latin-1/Unicode text character "'+t[0]+'" used in math mode',e);var s,l=ae[this.mode][t].group,h=Fr.range(e);if(te.hasOwnProperty(l)){var c=l;s={type:"atom",mode:this.mode,family:c,loc:h,text:t}}else s={type:l,mode:this.mode,loc:h,text:t};i=s}else{if(!(t.charCodeAt(0)>=128))return null;this.settings.strict&&(S(t.charCodeAt(0))?"math"===this.mode&&this.settings.reportNonstrict("unicodeTextInMathMode",'Unicode text character "'+t[0]+'" used in math mode',e):this.settings.reportNonstrict("unknownSymbol",'Unrecognized Unicode character "'+t[0]+'" ('+t.charCodeAt(0)+")",e)),i={type:"textord",mode:"text",loc:Fr.range(e),text:t}}if(this.consume(),o)for(var m=0;m 15) { + left = "…" + input.slice(start - 15, start); + } else { + left = input.slice(0, start); + } + + var right; + + if (end + 15 < input.length) { + right = input.slice(end, end + 15) + "…"; + } else { + right = input.slice(end); + } + + error += left + underlined + right; + } // Some hackery to make ParseError a prototype of Error + // See http://stackoverflow.com/a/8460753 + + + var self = new Error(error); + self.name = "ParseError"; // $FlowFixMe + + self.__proto__ = ParseError.prototype; // $FlowFixMe + + self.position = start; + return self; + } + +} // $FlowFixMe More hackery + + +ParseError.prototype.__proto__ = Error.prototype; + +/** + * This file contains a list of utility functions which are useful in other + * files. + */ + +/** + * Return whether an element is contained in a list + */ +var contains = function contains(list, elem) { + return list.indexOf(elem) !== -1; +}; +/** + * Provide a default value if a setting is undefined + * NOTE: Couldn't use `T` as the output type due to facebook/flow#5022. + */ + + +var deflt = function deflt(setting, defaultIfUndefined) { + return setting === undefined ? defaultIfUndefined : setting; +}; // hyphenate and escape adapted from Facebook's React under Apache 2 license + + +var uppercase = /([A-Z])/g; + +var hyphenate = function hyphenate(str) { + return str.replace(uppercase, "-$1").toLowerCase(); +}; + +var ESCAPE_LOOKUP = { + "&": "&", + ">": ">", + "<": "<", + "\"": """, + "'": "'" +}; +var ESCAPE_REGEX = /[&><"']/g; +/** + * Escapes text to prevent scripting attacks. + */ + +function escape(text) { + return String(text).replace(ESCAPE_REGEX, match => ESCAPE_LOOKUP[match]); +} +/** + * Sometimes we want to pull out the innermost element of a group. In most + * cases, this will just be the group itself, but when ordgroups and colors have + * a single element, we want to pull that out. + */ + + +var getBaseElem = function getBaseElem(group) { + if (group.type === "ordgroup") { + if (group.body.length === 1) { + return getBaseElem(group.body[0]); + } else { + return group; + } + } else if (group.type === "color") { + if (group.body.length === 1) { + return getBaseElem(group.body[0]); + } else { + return group; + } + } else if (group.type === "font") { + return getBaseElem(group.body); + } else { + return group; + } +}; +/** + * TeXbook algorithms often reference "character boxes", which are simply groups + * with a single character in them. To decide if something is a character box, + * we find its innermost group, and see if it is a single character. + */ + + +var isCharacterBox = function isCharacterBox(group) { + var baseElem = getBaseElem(group); // These are all they types of groups which hold single characters + + return baseElem.type === "mathord" || baseElem.type === "textord" || baseElem.type === "atom"; +}; + +var assert = function assert(value) { + if (!value) { + throw new Error('Expected non-null, but got ' + String(value)); + } + + return value; +}; +/** + * Return the protocol of a URL, or "_relative" if the URL does not specify a + * protocol (and thus is relative). + */ + +var protocolFromUrl = function protocolFromUrl(url) { + var protocol = /^\s*([^\\/#]*?)(?::|�*58|�*3a)/i.exec(url); + return protocol != null ? protocol[1] : "_relative"; +}; +var utils = { + contains, + deflt, + escape, + hyphenate, + getBaseElem, + isCharacterBox, + protocolFromUrl +}; + +/* eslint no-console:0 */ +// TODO: automatically generate documentation +// TODO: check all properties on Settings exist +// TODO: check the type of a property on Settings matches +var SETTINGS_SCHEMA = { + displayMode: { + type: "boolean", + description: "Render math in display mode, which puts the math in " + "display style (so \\int and \\sum are large, for example), and " + "centers the math on the page on its own line.", + cli: "-d, --display-mode" + }, + output: { + type: { + enum: ["htmlAndMathml", "html", "mathml"] + }, + description: "Determines the markup language of the output.", + cli: "-F, --format " + }, + leqno: { + type: "boolean", + description: "Render display math in leqno style (left-justified tags)." + }, + fleqn: { + type: "boolean", + description: "Render display math flush left." + }, + throwOnError: { + type: "boolean", + default: true, + cli: "-t, --no-throw-on-error", + cliDescription: "Render errors (in the color given by --error-color) ins" + "tead of throwing a ParseError exception when encountering an error." + }, + errorColor: { + type: "string", + default: "#cc0000", + cli: "-c, --error-color ", + cliDescription: "A color string given in the format 'rgb' or 'rrggbb' " + "(no #). This option determines the color of errors rendered by the " + "-t option.", + cliProcessor: color => "#" + color + }, + macros: { + type: "object", + cli: "-m, --macro ", + cliDescription: "Define custom macro of the form '\\foo:expansion' (use " + "multiple -m arguments for multiple macros).", + cliDefault: [], + cliProcessor: (def, defs) => { + defs.push(def); + return defs; + } + }, + minRuleThickness: { + type: "number", + description: "Specifies a minimum thickness, in ems, for fraction lines," + " `\\sqrt` top lines, `{array}` vertical lines, `\\hline`, " + "`\\hdashline`, `\\underline`, `\\overline`, and the borders of " + "`\\fbox`, `\\boxed`, and `\\fcolorbox`.", + processor: t => Math.max(0, t), + cli: "--min-rule-thickness ", + cliProcessor: parseFloat + }, + colorIsTextColor: { + type: "boolean", + description: "Makes \\color behave like LaTeX's 2-argument \\textcolor, " + "instead of LaTeX's one-argument \\color mode change.", + cli: "-b, --color-is-text-color" + }, + strict: { + type: [{ + enum: ["warn", "ignore", "error"] + }, "boolean", "function"], + description: "Turn on strict / LaTeX faithfulness mode, which throws an " + "error if the input uses features that are not supported by LaTeX.", + cli: "-S, --strict", + cliDefault: false + }, + trust: { + type: ["boolean", "function"], + description: "Trust the input, enabling all HTML features such as \\url.", + cli: "-T, --trust" + }, + maxSize: { + type: "number", + default: Infinity, + description: "If non-zero, all user-specified sizes, e.g. in " + "\\rule{500em}{500em}, will be capped to maxSize ems. Otherwise, " + "elements and spaces can be arbitrarily large", + processor: s => Math.max(0, s), + cli: "-s, --max-size ", + cliProcessor: parseInt + }, + maxExpand: { + type: "number", + default: 1000, + description: "Limit the number of macro expansions to the specified " + "number, to prevent e.g. infinite macro loops. If set to Infinity, " + "the macro expander will try to fully expand as in LaTeX.", + processor: n => Math.max(0, n), + cli: "-e, --max-expand ", + cliProcessor: n => n === "Infinity" ? Infinity : parseInt(n) + }, + globalGroup: { + type: "boolean", + cli: false + } +}; + +function getDefaultValue(schema) { + if (schema.default) { + return schema.default; + } + + var type = schema.type; + var defaultType = Array.isArray(type) ? type[0] : type; + + if (typeof defaultType !== 'string') { + return defaultType.enum[0]; + } + + switch (defaultType) { + case 'boolean': + return false; + + case 'string': + return ''; + + case 'number': + return 0; + + case 'object': + return {}; + } +} +/** + * The main Settings object + * + * The current options stored are: + * - displayMode: Whether the expression should be typeset as inline math + * (false, the default), meaning that the math starts in + * \textstyle and is placed in an inline-block); or as display + * math (true), meaning that the math starts in \displaystyle + * and is placed in a block with vertical margin. + */ + + +class Settings { + constructor(options) { + this.displayMode = void 0; + this.output = void 0; + this.leqno = void 0; + this.fleqn = void 0; + this.throwOnError = void 0; + this.errorColor = void 0; + this.macros = void 0; + this.minRuleThickness = void 0; + this.colorIsTextColor = void 0; + this.strict = void 0; + this.trust = void 0; + this.maxSize = void 0; + this.maxExpand = void 0; + this.globalGroup = void 0; + // allow null options + options = options || {}; + + for (var prop in SETTINGS_SCHEMA) { + if (SETTINGS_SCHEMA.hasOwnProperty(prop)) { + // $FlowFixMe + var schema = SETTINGS_SCHEMA[prop]; // TODO: validate options + // $FlowFixMe + + this[prop] = options[prop] !== undefined ? schema.processor ? schema.processor(options[prop]) : options[prop] : getDefaultValue(schema); + } + } + } + /** + * Report nonstrict (non-LaTeX-compatible) input. + * Can safely not be called if `this.strict` is false in JavaScript. + */ + + + reportNonstrict(errorCode, errorMsg, token) { + var strict = this.strict; + + if (typeof strict === "function") { + // Allow return value of strict function to be boolean or string + // (or null/undefined, meaning no further processing). + strict = strict(errorCode, errorMsg, token); + } + + if (!strict || strict === "ignore") { + return; + } else if (strict === true || strict === "error") { + throw new ParseError("LaTeX-incompatible input and strict mode is set to 'error': " + (errorMsg + " [" + errorCode + "]"), token); + } else if (strict === "warn") { + typeof console !== "undefined" && console.warn("LaTeX-incompatible input and strict mode is set to 'warn': " + (errorMsg + " [" + errorCode + "]")); + } else { + // won't happen in type-safe code + typeof console !== "undefined" && console.warn("LaTeX-incompatible input and strict mode is set to " + ("unrecognized '" + strict + "': " + errorMsg + " [" + errorCode + "]")); + } + } + /** + * Check whether to apply strict (LaTeX-adhering) behavior for unusual + * input (like `\\`). Unlike `nonstrict`, will not throw an error; + * instead, "error" translates to a return value of `true`, while "ignore" + * translates to a return value of `false`. May still print a warning: + * "warn" prints a warning and returns `false`. + * This is for the second category of `errorCode`s listed in the README. + */ + + + useStrictBehavior(errorCode, errorMsg, token) { + var strict = this.strict; + + if (typeof strict === "function") { + // Allow return value of strict function to be boolean or string + // (or null/undefined, meaning no further processing). + // But catch any exceptions thrown by function, treating them + // like "error". + try { + strict = strict(errorCode, errorMsg, token); + } catch (error) { + strict = "error"; + } + } + + if (!strict || strict === "ignore") { + return false; + } else if (strict === true || strict === "error") { + return true; + } else if (strict === "warn") { + typeof console !== "undefined" && console.warn("LaTeX-incompatible input and strict mode is set to 'warn': " + (errorMsg + " [" + errorCode + "]")); + return false; + } else { + // won't happen in type-safe code + typeof console !== "undefined" && console.warn("LaTeX-incompatible input and strict mode is set to " + ("unrecognized '" + strict + "': " + errorMsg + " [" + errorCode + "]")); + return false; + } + } + /** + * Check whether to test potentially dangerous input, and return + * `true` (trusted) or `false` (untrusted). The sole argument `context` + * should be an object with `command` field specifying the relevant LaTeX + * command (as a string starting with `\`), and any other arguments, etc. + * If `context` has a `url` field, a `protocol` field will automatically + * get added by this function (changing the specified object). + */ + + + isTrusted(context) { + if (context.url && !context.protocol) { + context.protocol = utils.protocolFromUrl(context.url); + } + + var trust = typeof this.trust === "function" ? this.trust(context) : this.trust; + return Boolean(trust); + } + +} + +/** + * This file contains information and classes for the various kinds of styles + * used in TeX. It provides a generic `Style` class, which holds information + * about a specific style. It then provides instances of all the different kinds + * of styles possible, and provides functions to move between them and get + * information about them. + */ + +/** + * The main style class. Contains a unique id for the style, a size (which is + * the same for cramped and uncramped version of a style), and a cramped flag. + */ +class Style { + constructor(id, size, cramped) { + this.id = void 0; + this.size = void 0; + this.cramped = void 0; + this.id = id; + this.size = size; + this.cramped = cramped; + } + /** + * Get the style of a superscript given a base in the current style. + */ + + + sup() { + return styles[sup[this.id]]; + } + /** + * Get the style of a subscript given a base in the current style. + */ + + + sub() { + return styles[sub[this.id]]; + } + /** + * Get the style of a fraction numerator given the fraction in the current + * style. + */ + + + fracNum() { + return styles[fracNum[this.id]]; + } + /** + * Get the style of a fraction denominator given the fraction in the current + * style. + */ + + + fracDen() { + return styles[fracDen[this.id]]; + } + /** + * Get the cramped version of a style (in particular, cramping a cramped style + * doesn't change the style). + */ + + + cramp() { + return styles[cramp[this.id]]; + } + /** + * Get a text or display version of this style. + */ + + + text() { + return styles[text$1[this.id]]; + } + /** + * Return true if this style is tightly spaced (scriptstyle/scriptscriptstyle) + */ + + + isTight() { + return this.size >= 2; + } + +} // Export an interface for type checking, but don't expose the implementation. +// This way, no more styles can be generated. + + +// IDs of the different styles +var D = 0; +var Dc = 1; +var T = 2; +var Tc = 3; +var S = 4; +var Sc = 5; +var SS = 6; +var SSc = 7; // Instances of the different styles + +var styles = [new Style(D, 0, false), new Style(Dc, 0, true), new Style(T, 1, false), new Style(Tc, 1, true), new Style(S, 2, false), new Style(Sc, 2, true), new Style(SS, 3, false), new Style(SSc, 3, true)]; // Lookup tables for switching from one style to another + +var sup = [S, Sc, S, Sc, SS, SSc, SS, SSc]; +var sub = [Sc, Sc, Sc, Sc, SSc, SSc, SSc, SSc]; +var fracNum = [T, Tc, S, Sc, SS, SSc, SS, SSc]; +var fracDen = [Tc, Tc, Sc, Sc, SSc, SSc, SSc, SSc]; +var cramp = [Dc, Dc, Tc, Tc, Sc, Sc, SSc, SSc]; +var text$1 = [D, Dc, T, Tc, T, Tc, T, Tc]; // We only export some of the styles. + +var Style$1 = { + DISPLAY: styles[D], + TEXT: styles[T], + SCRIPT: styles[S], + SCRIPTSCRIPT: styles[SS] +}; + +/* + * This file defines the Unicode scripts and script families that we + * support. To add new scripts or families, just add a new entry to the + * scriptData array below. Adding scripts to the scriptData array allows + * characters from that script to appear in \text{} environments. + */ + +/** + * Each script or script family has a name and an array of blocks. + * Each block is an array of two numbers which specify the start and + * end points (inclusive) of a block of Unicode codepoints. + */ + +/** + * Unicode block data for the families of scripts we support in \text{}. + * Scripts only need to appear here if they do not have font metrics. + */ +var scriptData = [{ + // Latin characters beyond the Latin-1 characters we have metrics for. + // Needed for Czech, Hungarian and Turkish text, for example. + name: 'latin', + blocks: [[0x0100, 0x024f], // Latin Extended-A and Latin Extended-B + [0x0300, 0x036f] // Combining Diacritical marks + ] +}, { + // The Cyrillic script used by Russian and related languages. + // A Cyrillic subset used to be supported as explicitly defined + // symbols in symbols.js + name: 'cyrillic', + blocks: [[0x0400, 0x04ff]] +}, { + // Armenian + name: 'armenian', + blocks: [[0x0530, 0x058F]] +}, { + // The Brahmic scripts of South and Southeast Asia + // Devanagari (0900–097F) + // Bengali (0980–09FF) + // Gurmukhi (0A00–0A7F) + // Gujarati (0A80–0AFF) + // Oriya (0B00–0B7F) + // Tamil (0B80–0BFF) + // Telugu (0C00–0C7F) + // Kannada (0C80–0CFF) + // Malayalam (0D00–0D7F) + // Sinhala (0D80–0DFF) + // Thai (0E00–0E7F) + // Lao (0E80–0EFF) + // Tibetan (0F00–0FFF) + // Myanmar (1000–109F) + name: 'brahmic', + blocks: [[0x0900, 0x109F]] +}, { + name: 'georgian', + blocks: [[0x10A0, 0x10ff]] +}, { + // Chinese and Japanese. + // The "k" in cjk is for Korean, but we've separated Korean out + name: "cjk", + blocks: [[0x3000, 0x30FF], // CJK symbols and punctuation, Hiragana, Katakana + [0x4E00, 0x9FAF], // CJK ideograms + [0xFF00, 0xFF60] // Fullwidth punctuation + // TODO: add halfwidth Katakana and Romanji glyphs + ] +}, { + // Korean + name: 'hangul', + blocks: [[0xAC00, 0xD7AF]] +}]; +/** + * Given a codepoint, return the name of the script or script family + * it is from, or null if it is not part of a known block + */ + +function scriptFromCodepoint(codepoint) { + for (var i = 0; i < scriptData.length; i++) { + var script = scriptData[i]; + + for (var _i = 0; _i < script.blocks.length; _i++) { + var block = script.blocks[_i]; + + if (codepoint >= block[0] && codepoint <= block[1]) { + return script.name; + } + } + } + + return null; +} +/** + * A flattened version of all the supported blocks in a single array. + * This is an optimization to make supportedCodepoint() fast. + */ + +var allBlocks = []; +scriptData.forEach(s => s.blocks.forEach(b => allBlocks.push(...b))); +/** + * Given a codepoint, return true if it falls within one of the + * scripts or script families defined above and false otherwise. + * + * Micro benchmarks shows that this is faster than + * /[\u3000-\u30FF\u4E00-\u9FAF\uFF00-\uFF60\uAC00-\uD7AF\u0900-\u109F]/.test() + * in Firefox, Chrome and Node. + */ + +function supportedCodepoint(codepoint) { + for (var i = 0; i < allBlocks.length; i += 2) { + if (codepoint >= allBlocks[i] && codepoint <= allBlocks[i + 1]) { + return true; + } + } + + return false; +} + +/** + * This file provides support to domTree.js and delimiter.js. + * It's a storehouse of path geometry for SVG images. + */ +// In all paths below, the viewBox-to-em scale is 1000:1. +var hLinePad = 80; // padding above a sqrt viniculum. Prevents image cropping. +// The viniculum of a \sqrt can be made thicker by a KaTeX rendering option. +// Think of variable extraViniculum as two detours in the SVG path. +// The detour begins at the lower left of the area labeled extraViniculum below. +// The detour proceeds one extraViniculum distance up and slightly to the right, +// displacing the radiused corner between surd and viniculum. The radius is +// traversed as usual, then the detour resumes. It goes right, to the end of +// the very long viniculumn, then down one extraViniculum distance, +// after which it resumes regular path geometry for the radical. + +/* viniculum + / + /▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒←extraViniculum + / █████████████████████←0.04em (40 unit) std viniculum thickness + / / + / / + / /\ + / / surd +*/ + +var sqrtMain = function sqrtMain(extraViniculum, hLinePad) { + // sqrtMain path geometry is from glyph U221A in the font KaTeX Main + return "M95," + (622 + extraViniculum + hLinePad) + "\nc-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14\nc0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54\nc44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10\ns173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429\nc69,-144,104.5,-217.7,106.5,-221\nl" + extraViniculum / 2.075 + " -" + extraViniculum + "\nc5.3,-9.3,12,-14,20,-14\nH400000v" + (40 + extraViniculum) + "H845.2724\ns-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7\nc-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z\nM" + (834 + extraViniculum) + " " + hLinePad + "h400000v" + (40 + extraViniculum) + "h-400000z"; +}; + +var sqrtSize1 = function sqrtSize1(extraViniculum, hLinePad) { + // size1 is from glyph U221A in the font KaTeX_Size1-Regular + return "M263," + (601 + extraViniculum + hLinePad) + "c0.7,0,18,39.7,52,119\nc34,79.3,68.167,158.7,102.5,238c34.3,79.3,51.8,119.3,52.5,120\nc340,-704.7,510.7,-1060.3,512,-1067\nl" + extraViniculum / 2.084 + " -" + extraViniculum + "\nc4.7,-7.3,11,-11,19,-11\nH40000v" + (40 + extraViniculum) + "H1012.3\ns-271.3,567,-271.3,567c-38.7,80.7,-84,175,-136,283c-52,108,-89.167,185.3,-111.5,232\nc-22.3,46.7,-33.8,70.3,-34.5,71c-4.7,4.7,-12.3,7,-23,7s-12,-1,-12,-1\ns-109,-253,-109,-253c-72.7,-168,-109.3,-252,-110,-252c-10.7,8,-22,16.7,-34,26\nc-22,17.3,-33.3,26,-34,26s-26,-26,-26,-26s76,-59,76,-59s76,-60,76,-60z\nM" + (1001 + extraViniculum) + " " + hLinePad + "h400000v" + (40 + extraViniculum) + "h-400000z"; +}; + +var sqrtSize2 = function sqrtSize2(extraViniculum, hLinePad) { + // size2 is from glyph U221A in the font KaTeX_Size2-Regular + return "M983 " + (10 + extraViniculum + hLinePad) + "\nl" + extraViniculum / 3.13 + " -" + extraViniculum + "\nc4,-6.7,10,-10,18,-10 H400000v" + (40 + extraViniculum) + "\nH1013.1s-83.4,268,-264.1,840c-180.7,572,-277,876.3,-289,913c-4.7,4.7,-12.7,7,-24,7\ns-12,0,-12,0c-1.3,-3.3,-3.7,-11.7,-7,-25c-35.3,-125.3,-106.7,-373.3,-214,-744\nc-10,12,-21,25,-33,39s-32,39,-32,39c-6,-5.3,-15,-14,-27,-26s25,-30,25,-30\nc26.7,-32.7,52,-63,76,-91s52,-60,52,-60s208,722,208,722\nc56,-175.3,126.3,-397.3,211,-666c84.7,-268.7,153.8,-488.2,207.5,-658.5\nc53.7,-170.3,84.5,-266.8,92.5,-289.5z\nM" + (1001 + extraViniculum) + " " + hLinePad + "h400000v" + (40 + extraViniculum) + "h-400000z"; +}; + +var sqrtSize3 = function sqrtSize3(extraViniculum, hLinePad) { + // size3 is from glyph U221A in the font KaTeX_Size3-Regular + return "M424," + (2398 + extraViniculum + hLinePad) + "\nc-1.3,-0.7,-38.5,-172,-111.5,-514c-73,-342,-109.8,-513.3,-110.5,-514\nc0,-2,-10.7,14.3,-32,49c-4.7,7.3,-9.8,15.7,-15.5,25c-5.7,9.3,-9.8,16,-12.5,20\ns-5,7,-5,7c-4,-3.3,-8.3,-7.7,-13,-13s-13,-13,-13,-13s76,-122,76,-122s77,-121,77,-121\ns209,968,209,968c0,-2,84.7,-361.7,254,-1079c169.3,-717.3,254.7,-1077.7,256,-1081\nl" + extraViniculum / 4.223 + " -" + extraViniculum + "c4,-6.7,10,-10,18,-10 H400000\nv" + (40 + extraViniculum) + "H1014.6\ns-87.3,378.7,-272.6,1166c-185.3,787.3,-279.3,1182.3,-282,1185\nc-2,6,-10,9,-24,9\nc-8,0,-12,-0.7,-12,-2z M" + (1001 + extraViniculum) + " " + hLinePad + "\nh400000v" + (40 + extraViniculum) + "h-400000z"; +}; + +var sqrtSize4 = function sqrtSize4(extraViniculum, hLinePad) { + // size4 is from glyph U221A in the font KaTeX_Size4-Regular + return "M473," + (2713 + extraViniculum + hLinePad) + "\nc339.3,-1799.3,509.3,-2700,510,-2702 l" + extraViniculum / 5.298 + " -" + extraViniculum + "\nc3.3,-7.3,9.3,-11,18,-11 H400000v" + (40 + extraViniculum) + "H1017.7\ns-90.5,478,-276.2,1466c-185.7,988,-279.5,1483,-281.5,1485c-2,6,-10,9,-24,9\nc-8,0,-12,-0.7,-12,-2c0,-1.3,-5.3,-32,-16,-92c-50.7,-293.3,-119.7,-693.3,-207,-1200\nc0,-1.3,-5.3,8.7,-16,30c-10.7,21.3,-21.3,42.7,-32,64s-16,33,-16,33s-26,-26,-26,-26\ns76,-153,76,-153s77,-151,77,-151c0.7,0.7,35.7,202,105,604c67.3,400.7,102,602.7,104,\n606zM" + (1001 + extraViniculum) + " " + hLinePad + "h400000v" + (40 + extraViniculum) + "H1017.7z"; +}; + +var phasePath = function phasePath(y) { + var x = y / 2; // x coordinate at top of angle + + return "M400000 " + y + " H0 L" + x + " 0 l65 45 L145 " + (y - 80) + " H400000z"; +}; + +var sqrtTall = function sqrtTall(extraViniculum, hLinePad, viewBoxHeight) { + // sqrtTall is from glyph U23B7 in the font KaTeX_Size4-Regular + // One path edge has a variable length. It runs vertically from the viniculumn + // to a point near (14 units) the bottom of the surd. The viniculum + // is normally 40 units thick. So the length of the line in question is: + var vertSegment = viewBoxHeight - 54 - hLinePad - extraViniculum; + return "M702 " + (extraViniculum + hLinePad) + "H400000" + (40 + extraViniculum) + "\nH742v" + vertSegment + "l-4 4-4 4c-.667.7 -2 1.5-4 2.5s-4.167 1.833-6.5 2.5-5.5 1-9.5 1\nh-12l-28-84c-16.667-52-96.667 -294.333-240-727l-212 -643 -85 170\nc-4-3.333-8.333-7.667-13 -13l-13-13l77-155 77-156c66 199.333 139 419.667\n219 661 l218 661zM702 " + hLinePad + "H400000v" + (40 + extraViniculum) + "H742z"; +}; + +var sqrtPath = function sqrtPath(size, extraViniculum, viewBoxHeight) { + extraViniculum = 1000 * extraViniculum; // Convert from document ems to viewBox. + + var path = ""; + + switch (size) { + case "sqrtMain": + path = sqrtMain(extraViniculum, hLinePad); + break; + + case "sqrtSize1": + path = sqrtSize1(extraViniculum, hLinePad); + break; + + case "sqrtSize2": + path = sqrtSize2(extraViniculum, hLinePad); + break; + + case "sqrtSize3": + path = sqrtSize3(extraViniculum, hLinePad); + break; + + case "sqrtSize4": + path = sqrtSize4(extraViniculum, hLinePad); + break; + + case "sqrtTall": + path = sqrtTall(extraViniculum, hLinePad, viewBoxHeight); + } + + return path; +}; +var innerPath = function innerPath(name, height) { + // The inner part of stretchy tall delimiters + switch (name) { + case "\u239c": + return "M291 0 H417 V" + height + " H291z M291 0 H417 V" + height + " H291z"; + + case "\u2223": + return "M145 0 H188 V" + height + " H145z M145 0 H188 V" + height + " H145z"; + + case "\u2225": + return "M145 0 H188 V" + height + " H145z M145 0 H188 V" + height + " H145z" + ("M367 0 H410 V" + height + " H367z M367 0 H410 V" + height + " H367z"); + + case "\u239f": + return "M457 0 H583 V" + height + " H457z M457 0 H583 V" + height + " H457z"; + + case "\u23a2": + return "M319 0 H403 V" + height + " H319z M319 0 H403 V" + height + " H319z"; + + case "\u23a5": + return "M263 0 H347 V" + height + " H263z M263 0 H347 V" + height + " H263z"; + + case "\u23aa": + return "M384 0 H504 V" + height + " H384z M384 0 H504 V" + height + " H384z"; + + case "\u23d0": + return "M312 0 H355 V" + height + " H312z M312 0 H355 V" + height + " H312z"; + + case "\u2016": + return "M257 0 H300 V" + height + " H257z M257 0 H300 V" + height + " H257z" + ("M478 0 H521 V" + height + " H478z M478 0 H521 V" + height + " H478z"); + + default: + return ""; + } +}; +var path = { + // The doubleleftarrow geometry is from glyph U+21D0 in the font KaTeX Main + doubleleftarrow: "M262 157\nl10-10c34-36 62.7-77 86-123 3.3-8 5-13.3 5-16 0-5.3-6.7-8-20-8-7.3\n 0-12.2.5-14.5 1.5-2.3 1-4.8 4.5-7.5 10.5-49.3 97.3-121.7 169.3-217 216-28\n 14-57.3 25-88 33-6.7 2-11 3.8-13 5.5-2 1.7-3 4.2-3 7.5s1 5.8 3 7.5\nc2 1.7 6.3 3.5 13 5.5 68 17.3 128.2 47.8 180.5 91.5 52.3 43.7 93.8 96.2 124.5\n 157.5 9.3 8 15.3 12.3 18 13h6c12-.7 18-4 18-10 0-2-1.7-7-5-15-23.3-46-52-87\n-86-123l-10-10h399738v-40H218c328 0 0 0 0 0l-10-8c-26.7-20-65.7-43-117-69 2.7\n-2 6-3.7 10-5 36.7-16 72.3-37.3 107-64l10-8h399782v-40z\nm8 0v40h399730v-40zm0 194v40h399730v-40z", + // doublerightarrow is from glyph U+21D2 in font KaTeX Main + doublerightarrow: "M399738 392l\n-10 10c-34 36-62.7 77-86 123-3.3 8-5 13.3-5 16 0 5.3 6.7 8 20 8 7.3 0 12.2-.5\n 14.5-1.5 2.3-1 4.8-4.5 7.5-10.5 49.3-97.3 121.7-169.3 217-216 28-14 57.3-25 88\n-33 6.7-2 11-3.8 13-5.5 2-1.7 3-4.2 3-7.5s-1-5.8-3-7.5c-2-1.7-6.3-3.5-13-5.5-68\n-17.3-128.2-47.8-180.5-91.5-52.3-43.7-93.8-96.2-124.5-157.5-9.3-8-15.3-12.3-18\n-13h-6c-12 .7-18 4-18 10 0 2 1.7 7 5 15 23.3 46 52 87 86 123l10 10H0v40h399782\nc-328 0 0 0 0 0l10 8c26.7 20 65.7 43 117 69-2.7 2-6 3.7-10 5-36.7 16-72.3 37.3\n-107 64l-10 8H0v40zM0 157v40h399730v-40zm0 194v40h399730v-40z", + // leftarrow is from glyph U+2190 in font KaTeX Main + leftarrow: "M400000 241H110l3-3c68.7-52.7 113.7-120\n 135-202 4-14.7 6-23 6-25 0-7.3-7-11-21-11-8 0-13.2.8-15.5 2.5-2.3 1.7-4.2 5.8\n-5.5 12.5-1.3 4.7-2.7 10.3-4 17-12 48.7-34.8 92-68.5 130S65.3 228.3 18 247\nc-10 4-16 7.7-18 11 0 8.7 6 14.3 18 17 47.3 18.7 87.8 47 121.5 85S196 441.3 208\n 490c.7 2 1.3 5 2 9s1.2 6.7 1.5 8c.3 1.3 1 3.3 2 6s2.2 4.5 3.5 5.5c1.3 1 3.3\n 1.8 6 2.5s6 1 10 1c14 0 21-3.7 21-11 0-2-2-10.3-6-25-20-79.3-65-146.7-135-202\n l-3-3h399890zM100 241v40h399900v-40z", + // overbrace is from glyphs U+23A9/23A8/23A7 in font KaTeX_Size4-Regular + leftbrace: "M6 548l-6-6v-35l6-11c56-104 135.3-181.3 238-232 57.3-28.7 117\n-45 179-50h399577v120H403c-43.3 7-81 15-113 26-100.7 33-179.7 91-237 174-2.7\n 5-6 9-10 13-.7 1-7.3 1-20 1H6z", + leftbraceunder: "M0 6l6-6h17c12.688 0 19.313.3 20 1 4 4 7.313 8.3 10 13\n 35.313 51.3 80.813 93.8 136.5 127.5 55.688 33.7 117.188 55.8 184.5 66.5.688\n 0 2 .3 4 1 18.688 2.7 76 4.3 172 5h399450v120H429l-6-1c-124.688-8-235-61.7\n-331-161C60.687 138.7 32.312 99.3 7 54L0 41V6z", + // overgroup is from the MnSymbol package (public domain) + leftgroup: "M400000 80\nH435C64 80 168.3 229.4 21 260c-5.9 1.2-18 0-18 0-2 0-3-1-3-3v-38C76 61 257 0\n 435 0h399565z", + leftgroupunder: "M400000 262\nH435C64 262 168.3 112.6 21 82c-5.9-1.2-18 0-18 0-2 0-3 1-3 3v38c76 158 257 219\n 435 219h399565z", + // Harpoons are from glyph U+21BD in font KaTeX Main + leftharpoon: "M0 267c.7 5.3 3 10 7 14h399993v-40H93c3.3\n-3.3 10.2-9.5 20.5-18.5s17.8-15.8 22.5-20.5c50.7-52 88-110.3 112-175 4-11.3 5\n-18.3 3-21-1.3-4-7.3-6-18-6-8 0-13 .7-15 2s-4.7 6.7-8 16c-42 98.7-107.3 174.7\n-196 228-6.7 4.7-10.7 8-12 10-1.3 2-2 5.7-2 11zm100-26v40h399900v-40z", + leftharpoonplus: "M0 267c.7 5.3 3 10 7 14h399993v-40H93c3.3-3.3 10.2-9.5\n 20.5-18.5s17.8-15.8 22.5-20.5c50.7-52 88-110.3 112-175 4-11.3 5-18.3 3-21-1.3\n-4-7.3-6-18-6-8 0-13 .7-15 2s-4.7 6.7-8 16c-42 98.7-107.3 174.7-196 228-6.7 4.7\n-10.7 8-12 10-1.3 2-2 5.7-2 11zm100-26v40h399900v-40zM0 435v40h400000v-40z\nm0 0v40h400000v-40z", + leftharpoondown: "M7 241c-4 4-6.333 8.667-7 14 0 5.333.667 9 2 11s5.333\n 5.333 12 10c90.667 54 156 130 196 228 3.333 10.667 6.333 16.333 9 17 2 .667 5\n 1 9 1h5c10.667 0 16.667-2 18-6 2-2.667 1-9.667-3-21-32-87.333-82.667-157.667\n-152-211l-3-3h399907v-40zM93 281 H400000 v-40L7 241z", + leftharpoondownplus: "M7 435c-4 4-6.3 8.7-7 14 0 5.3.7 9 2 11s5.3 5.3 12\n 10c90.7 54 156 130 196 228 3.3 10.7 6.3 16.3 9 17 2 .7 5 1 9 1h5c10.7 0 16.7\n-2 18-6 2-2.7 1-9.7-3-21-32-87.3-82.7-157.7-152-211l-3-3h399907v-40H7zm93 0\nv40h399900v-40zM0 241v40h399900v-40zm0 0v40h399900v-40z", + // hook is from glyph U+21A9 in font KaTeX Main + lefthook: "M400000 281 H103s-33-11.2-61-33.5S0 197.3 0 164s14.2-61.2 42.5\n-83.5C70.8 58.2 104 47 142 47 c16.7 0 25 6.7 25 20 0 12-8.7 18.7-26 20-40 3.3\n-68.7 15.7-86 37-10 12-15 25.3-15 40 0 22.7 9.8 40.7 29.5 54 19.7 13.3 43.5 21\n 71.5 23h399859zM103 281v-40h399897v40z", + leftlinesegment: "M40 281 V428 H0 V94 H40 V241 H400000 v40z\nM40 281 V428 H0 V94 H40 V241 H400000 v40z", + leftmapsto: "M40 281 V448H0V74H40V241H400000v40z\nM40 281 V448H0V74H40V241H400000v40z", + // tofrom is from glyph U+21C4 in font KaTeX AMS Regular + leftToFrom: "M0 147h400000v40H0zm0 214c68 40 115.7 95.7 143 167h22c15.3 0 23\n-.3 23-1 0-1.3-5.3-13.7-16-37-18-35.3-41.3-69-70-101l-7-8h399905v-40H95l7-8\nc28.7-32 52-65.7 70-101 10.7-23.3 16-35.7 16-37 0-.7-7.7-1-23-1h-22C115.7 265.3\n 68 321 0 361zm0-174v-40h399900v40zm100 154v40h399900v-40z", + longequal: "M0 50 h400000 v40H0z m0 194h40000v40H0z\nM0 50 h400000 v40H0z m0 194h40000v40H0z", + midbrace: "M200428 334\nc-100.7-8.3-195.3-44-280-108-55.3-42-101.7-93-139-153l-9-14c-2.7 4-5.7 8.7-9 14\n-53.3 86.7-123.7 153-211 199-66.7 36-137.3 56.3-212 62H0V214h199568c178.3-11.7\n 311.7-78.3 403-201 6-8 9.7-12 11-12 .7-.7 6.7-1 18-1s17.3.3 18 1c1.3 0 5 4 11\n 12 44.7 59.3 101.3 106.3 170 141s145.3 54.3 229 60h199572v120z", + midbraceunder: "M199572 214\nc100.7 8.3 195.3 44 280 108 55.3 42 101.7 93 139 153l9 14c2.7-4 5.7-8.7 9-14\n 53.3-86.7 123.7-153 211-199 66.7-36 137.3-56.3 212-62h199568v120H200432c-178.3\n 11.7-311.7 78.3-403 201-6 8-9.7 12-11 12-.7.7-6.7 1-18 1s-17.3-.3-18-1c-1.3 0\n-5-4-11-12-44.7-59.3-101.3-106.3-170-141s-145.3-54.3-229-60H0V214z", + oiintSize1: "M512.6 71.6c272.6 0 320.3 106.8 320.3 178.2 0 70.8-47.7 177.6\n-320.3 177.6S193.1 320.6 193.1 249.8c0-71.4 46.9-178.2 319.5-178.2z\nm368.1 178.2c0-86.4-60.9-215.4-368.1-215.4-306.4 0-367.3 129-367.3 215.4 0 85.8\n60.9 214.8 367.3 214.8 307.2 0 368.1-129 368.1-214.8z", + oiintSize2: "M757.8 100.1c384.7 0 451.1 137.6 451.1 230 0 91.3-66.4 228.8\n-451.1 228.8-386.3 0-452.7-137.5-452.7-228.8 0-92.4 66.4-230 452.7-230z\nm502.4 230c0-111.2-82.4-277.2-502.4-277.2s-504 166-504 277.2\nc0 110 84 276 504 276s502.4-166 502.4-276z", + oiiintSize1: "M681.4 71.6c408.9 0 480.5 106.8 480.5 178.2 0 70.8-71.6 177.6\n-480.5 177.6S202.1 320.6 202.1 249.8c0-71.4 70.5-178.2 479.3-178.2z\nm525.8 178.2c0-86.4-86.8-215.4-525.7-215.4-437.9 0-524.7 129-524.7 215.4 0\n85.8 86.8 214.8 524.7 214.8 438.9 0 525.7-129 525.7-214.8z", + oiiintSize2: "M1021.2 53c603.6 0 707.8 165.8 707.8 277.2 0 110-104.2 275.8\n-707.8 275.8-606 0-710.2-165.8-710.2-275.8C311 218.8 415.2 53 1021.2 53z\nm770.4 277.1c0-131.2-126.4-327.6-770.5-327.6S248.4 198.9 248.4 330.1\nc0 130 128.8 326.4 772.7 326.4s770.5-196.4 770.5-326.4z", + rightarrow: "M0 241v40h399891c-47.3 35.3-84 78-110 128\n-16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20\n 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7\n 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85\n-40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5\n-12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67\n 151.7 139 205zm0 0v40h399900v-40z", + rightbrace: "M400000 542l\n-6 6h-17c-12.7 0-19.3-.3-20-1-4-4-7.3-8.3-10-13-35.3-51.3-80.8-93.8-136.5-127.5\ns-117.2-55.8-184.5-66.5c-.7 0-2-.3-4-1-18.7-2.7-76-4.3-172-5H0V214h399571l6 1\nc124.7 8 235 61.7 331 161 31.3 33.3 59.7 72.7 85 118l7 13v35z", + rightbraceunder: "M399994 0l6 6v35l-6 11c-56 104-135.3 181.3-238 232-57.3\n 28.7-117 45-179 50H-300V214h399897c43.3-7 81-15 113-26 100.7-33 179.7-91 237\n-174 2.7-5 6-9 10-13 .7-1 7.3-1 20-1h17z", + rightgroup: "M0 80h399565c371 0 266.7 149.4 414 180 5.9 1.2 18 0 18 0 2 0\n 3-1 3-3v-38c-76-158-257-219-435-219H0z", + rightgroupunder: "M0 262h399565c371 0 266.7-149.4 414-180 5.9-1.2 18 0 18\n 0 2 0 3 1 3 3v38c-76 158-257 219-435 219H0z", + rightharpoon: "M0 241v40h399993c4.7-4.7 7-9.3 7-14 0-9.3\n-3.7-15.3-11-18-92.7-56.7-159-133.7-199-231-3.3-9.3-6-14.7-8-16-2-1.3-7-2-15-2\n-10.7 0-16.7 2-18 6-2 2.7-1 9.7 3 21 15.3 42 36.7 81.8 64 119.5 27.3 37.7 58\n 69.2 92 94.5zm0 0v40h399900v-40z", + rightharpoonplus: "M0 241v40h399993c4.7-4.7 7-9.3 7-14 0-9.3-3.7-15.3-11\n-18-92.7-56.7-159-133.7-199-231-3.3-9.3-6-14.7-8-16-2-1.3-7-2-15-2-10.7 0-16.7\n 2-18 6-2 2.7-1 9.7 3 21 15.3 42 36.7 81.8 64 119.5 27.3 37.7 58 69.2 92 94.5z\nm0 0v40h399900v-40z m100 194v40h399900v-40zm0 0v40h399900v-40z", + rightharpoondown: "M399747 511c0 7.3 6.7 11 20 11 8 0 13-.8 15-2.5s4.7-6.8\n 8-15.5c40-94 99.3-166.3 178-217 13.3-8 20.3-12.3 21-13 5.3-3.3 8.5-5.8 9.5\n-7.5 1-1.7 1.5-5.2 1.5-10.5s-2.3-10.3-7-15H0v40h399908c-34 25.3-64.7 57-92 95\n-27.3 38-48.7 77.7-64 119-3.3 8.7-5 14-5 16zM0 241v40h399900v-40z", + rightharpoondownplus: "M399747 705c0 7.3 6.7 11 20 11 8 0 13-.8\n 15-2.5s4.7-6.8 8-15.5c40-94 99.3-166.3 178-217 13.3-8 20.3-12.3 21-13 5.3-3.3\n 8.5-5.8 9.5-7.5 1-1.7 1.5-5.2 1.5-10.5s-2.3-10.3-7-15H0v40h399908c-34 25.3\n-64.7 57-92 95-27.3 38-48.7 77.7-64 119-3.3 8.7-5 14-5 16zM0 435v40h399900v-40z\nm0-194v40h400000v-40zm0 0v40h400000v-40z", + righthook: "M399859 241c-764 0 0 0 0 0 40-3.3 68.7-15.7 86-37 10-12 15-25.3\n 15-40 0-22.7-9.8-40.7-29.5-54-19.7-13.3-43.5-21-71.5-23-17.3-1.3-26-8-26-20 0\n-13.3 8.7-20 26-20 38 0 71 11.2 99 33.5 0 0 7 5.6 21 16.7 14 11.2 21 33.5 21\n 66.8s-14 61.2-42 83.5c-28 22.3-61 33.5-99 33.5L0 241z M0 281v-40h399859v40z", + rightlinesegment: "M399960 241 V94 h40 V428 h-40 V281 H0 v-40z\nM399960 241 V94 h40 V428 h-40 V281 H0 v-40z", + rightToFrom: "M400000 167c-70.7-42-118-97.7-142-167h-23c-15.3 0-23 .3-23\n 1 0 1.3 5.3 13.7 16 37 18 35.3 41.3 69 70 101l7 8H0v40h399905l-7 8c-28.7 32\n-52 65.7-70 101-10.7 23.3-16 35.7-16 37 0 .7 7.7 1 23 1h23c24-69.3 71.3-125 142\n-167z M100 147v40h399900v-40zM0 341v40h399900v-40z", + // twoheadleftarrow is from glyph U+219E in font KaTeX AMS Regular + twoheadleftarrow: "M0 167c68 40\n 115.7 95.7 143 167h22c15.3 0 23-.3 23-1 0-1.3-5.3-13.7-16-37-18-35.3-41.3-69\n-70-101l-7-8h125l9 7c50.7 39.3 85 86 103 140h46c0-4.7-6.3-18.7-19-42-18-35.3\n-40-67.3-66-96l-9-9h399716v-40H284l9-9c26-28.7 48-60.7 66-96 12.7-23.333 19\n-37.333 19-42h-46c-18 54-52.3 100.7-103 140l-9 7H95l7-8c28.7-32 52-65.7 70-101\n 10.7-23.333 16-35.7 16-37 0-.7-7.7-1-23-1h-22C115.7 71.3 68 127 0 167z", + twoheadrightarrow: "M400000 167\nc-68-40-115.7-95.7-143-167h-22c-15.3 0-23 .3-23 1 0 1.3 5.3 13.7 16 37 18 35.3\n 41.3 69 70 101l7 8h-125l-9-7c-50.7-39.3-85-86-103-140h-46c0 4.7 6.3 18.7 19 42\n 18 35.3 40 67.3 66 96l9 9H0v40h399716l-9 9c-26 28.7-48 60.7-66 96-12.7 23.333\n-19 37.333-19 42h46c18-54 52.3-100.7 103-140l9-7h125l-7 8c-28.7 32-52 65.7-70\n 101-10.7 23.333-16 35.7-16 37 0 .7 7.7 1 23 1h22c27.3-71.3 75-127 143-167z", + // tilde1 is a modified version of a glyph from the MnSymbol package + tilde1: "M200 55.538c-77 0-168 73.953-177 73.953-3 0-7\n-2.175-9-5.437L2 97c-1-2-2-4-2-6 0-4 2-7 5-9l20-12C116 12 171 0 207 0c86 0\n 114 68 191 68 78 0 168-68 177-68 4 0 7 2 9 5l12 19c1 2.175 2 4.35 2 6.525 0\n 4.35-2 7.613-5 9.788l-19 13.05c-92 63.077-116.937 75.308-183 76.128\n-68.267.847-113-73.952-191-73.952z", + // ditto tilde2, tilde3, & tilde4 + tilde2: "M344 55.266c-142 0-300.638 81.316-311.5 86.418\n-8.01 3.762-22.5 10.91-23.5 5.562L1 120c-1-2-1-3-1-4 0-5 3-9 8-10l18.4-9C160.9\n 31.9 283 0 358 0c148 0 188 122 331 122s314-97 326-97c4 0 8 2 10 7l7 21.114\nc1 2.14 1 3.21 1 4.28 0 5.347-3 9.626-7 10.696l-22.3 12.622C852.6 158.372 751\n 181.476 676 181.476c-149 0-189-126.21-332-126.21z", + tilde3: "M786 59C457 59 32 175.242 13 175.242c-6 0-10-3.457\n-11-10.37L.15 138c-1-7 3-12 10-13l19.2-6.4C378.4 40.7 634.3 0 804.3 0c337 0\n 411.8 157 746.8 157 328 0 754-112 773-112 5 0 10 3 11 9l1 14.075c1 8.066-.697\n 16.595-6.697 17.492l-21.052 7.31c-367.9 98.146-609.15 122.696-778.15 122.696\n -338 0-409-156.573-744-156.573z", + tilde4: "M786 58C457 58 32 177.487 13 177.487c-6 0-10-3.345\n-11-10.035L.15 143c-1-7 3-12 10-13l22-6.7C381.2 35 637.15 0 807.15 0c337 0 409\n 177 744 177 328 0 754-127 773-127 5 0 10 3 11 9l1 14.794c1 7.805-3 13.38-9\n 14.495l-20.7 5.574c-366.85 99.79-607.3 139.372-776.3 139.372-338 0-409\n -175.236-744-175.236z", + // vec is from glyph U+20D7 in font KaTeX Main + vec: "M377 20c0-5.333 1.833-10 5.5-14S391 0 397 0c4.667 0 8.667 1.667 12 5\n3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 11\n10.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63\n-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1\n-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59\nH213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359\nc-16-25.333-24-45-24-59z", + // widehat1 is a modified version of a glyph from the MnSymbol package + widehat1: "M529 0h5l519 115c5 1 9 5 9 10 0 1-1 2-1 3l-4 22\nc-1 5-5 9-11 9h-2L532 67 19 159h-2c-5 0-9-4-11-9l-5-22c-1-6 2-12 8-13z", + // ditto widehat2, widehat3, & widehat4 + widehat2: "M1181 0h2l1171 176c6 0 10 5 10 11l-2 23c-1 6-5 10\n-11 10h-1L1182 67 15 220h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z", + widehat3: "M1181 0h2l1171 236c6 0 10 5 10 11l-2 23c-1 6-5 10\n-11 10h-1L1182 67 15 280h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z", + widehat4: "M1181 0h2l1171 296c6 0 10 5 10 11l-2 23c-1 6-5 10\n-11 10h-1L1182 67 15 340h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z", + // widecheck paths are all inverted versions of widehat + widecheck1: "M529,159h5l519,-115c5,-1,9,-5,9,-10c0,-1,-1,-2,-1,-3l-4,-22c-1,\n-5,-5,-9,-11,-9h-2l-512,92l-513,-92h-2c-5,0,-9,4,-11,9l-5,22c-1,6,2,12,8,13z", + widecheck2: "M1181,220h2l1171,-176c6,0,10,-5,10,-11l-2,-23c-1,-6,-5,-10,\n-11,-10h-1l-1168,153l-1167,-153h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z", + widecheck3: "M1181,280h2l1171,-236c6,0,10,-5,10,-11l-2,-23c-1,-6,-5,-10,\n-11,-10h-1l-1168,213l-1167,-213h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z", + widecheck4: "M1181,340h2l1171,-296c6,0,10,-5,10,-11l-2,-23c-1,-6,-5,-10,\n-11,-10h-1l-1168,273l-1167,-273h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z", + // The next ten paths support reaction arrows from the mhchem package. + // Arrows for \ce{<-->} are offset from xAxis by 0.22ex, per mhchem in LaTeX + // baraboveleftarrow is mostly from from glyph U+2190 in font KaTeX Main + baraboveleftarrow: "M400000 620h-399890l3 -3c68.7 -52.7 113.7 -120 135 -202\nc4 -14.7 6 -23 6 -25c0 -7.3 -7 -11 -21 -11c-8 0 -13.2 0.8 -15.5 2.5\nc-2.3 1.7 -4.2 5.8 -5.5 12.5c-1.3 4.7 -2.7 10.3 -4 17c-12 48.7 -34.8 92 -68.5 130\ns-74.2 66.3 -121.5 85c-10 4 -16 7.7 -18 11c0 8.7 6 14.3 18 17c47.3 18.7 87.8 47\n121.5 85s56.5 81.3 68.5 130c0.7 2 1.3 5 2 9s1.2 6.7 1.5 8c0.3 1.3 1 3.3 2 6\ns2.2 4.5 3.5 5.5c1.3 1 3.3 1.8 6 2.5s6 1 10 1c14 0 21 -3.7 21 -11\nc0 -2 -2 -10.3 -6 -25c-20 -79.3 -65 -146.7 -135 -202l-3 -3h399890z\nM100 620v40h399900v-40z M0 241v40h399900v-40zM0 241v40h399900v-40z", + // rightarrowabovebar is mostly from glyph U+2192, KaTeX Main + rightarrowabovebar: "M0 241v40h399891c-47.3 35.3-84 78-110 128-16.7 32\n-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0\n13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39\n-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85-40.5\n-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5\n-12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67\n151.7 139 205zm96 379h399894v40H0zm0 0h399904v40H0z", + // The short left harpoon has 0.5em (i.e. 500 units) kern on the left end. + // Ref from mhchem.sty: \rlap{\raisebox{-.22ex}{$\kern0.5em + baraboveshortleftharpoon: "M507,435c-4,4,-6.3,8.7,-7,14c0,5.3,0.7,9,2,11\nc1.3,2,5.3,5.3,12,10c90.7,54,156,130,196,228c3.3,10.7,6.3,16.3,9,17\nc2,0.7,5,1,9,1c0,0,5,0,5,0c10.7,0,16.7,-2,18,-6c2,-2.7,1,-9.7,-3,-21\nc-32,-87.3,-82.7,-157.7,-152,-211c0,0,-3,-3,-3,-3l399351,0l0,-40\nc-398570,0,-399437,0,-399437,0z M593 435 v40 H399500 v-40z\nM0 281 v-40 H399908 v40z M0 281 v-40 H399908 v40z", + rightharpoonaboveshortbar: "M0,241 l0,40c399126,0,399993,0,399993,0\nc4.7,-4.7,7,-9.3,7,-14c0,-9.3,-3.7,-15.3,-11,-18c-92.7,-56.7,-159,-133.7,-199,\n-231c-3.3,-9.3,-6,-14.7,-8,-16c-2,-1.3,-7,-2,-15,-2c-10.7,0,-16.7,2,-18,6\nc-2,2.7,-1,9.7,3,21c15.3,42,36.7,81.8,64,119.5c27.3,37.7,58,69.2,92,94.5z\nM0 241 v40 H399908 v-40z M0 475 v-40 H399500 v40z M0 475 v-40 H399500 v40z", + shortbaraboveleftharpoon: "M7,435c-4,4,-6.3,8.7,-7,14c0,5.3,0.7,9,2,11\nc1.3,2,5.3,5.3,12,10c90.7,54,156,130,196,228c3.3,10.7,6.3,16.3,9,17c2,0.7,5,1,9,\n1c0,0,5,0,5,0c10.7,0,16.7,-2,18,-6c2,-2.7,1,-9.7,-3,-21c-32,-87.3,-82.7,-157.7,\n-152,-211c0,0,-3,-3,-3,-3l399907,0l0,-40c-399126,0,-399993,0,-399993,0z\nM93 435 v40 H400000 v-40z M500 241 v40 H400000 v-40z M500 241 v40 H400000 v-40z", + shortrightharpoonabovebar: "M53,241l0,40c398570,0,399437,0,399437,0\nc4.7,-4.7,7,-9.3,7,-14c0,-9.3,-3.7,-15.3,-11,-18c-92.7,-56.7,-159,-133.7,-199,\n-231c-3.3,-9.3,-6,-14.7,-8,-16c-2,-1.3,-7,-2,-15,-2c-10.7,0,-16.7,2,-18,6\nc-2,2.7,-1,9.7,3,21c15.3,42,36.7,81.8,64,119.5c27.3,37.7,58,69.2,92,94.5z\nM500 241 v40 H399408 v-40z M500 435 v40 H400000 v-40z" +}; +var tallDelim = function tallDelim(label, midHeight) { + switch (label) { + case "lbrack": + return "M403 1759 V84 H666 V0 H319 V1759 v" + midHeight + " v1759 h347 v-84\nH403z M403 1759 V0 H319 V1759 v" + midHeight + " v1759 h84z"; + + case "rbrack": + return "M347 1759 V0 H0 V84 H263 V1759 v" + midHeight + " v1759 H0 v84 H347z\nM347 1759 V0 H263 V1759 v" + midHeight + " v1759 h84z"; + + case "vert": + return "M145 15 v585 v" + midHeight + " v585 c2.667,10,9.667,15,21,15\nc10,0,16.667,-5,20,-15 v-585 v" + -midHeight + " v-585 c-2.667,-10,-9.667,-15,-21,-15\nc-10,0,-16.667,5,-20,15z M188 15 H145 v585 v" + midHeight + " v585 h43z"; + + case "doublevert": + return "M145 15 v585 v" + midHeight + " v585 c2.667,10,9.667,15,21,15\nc10,0,16.667,-5,20,-15 v-585 v" + -midHeight + " v-585 c-2.667,-10,-9.667,-15,-21,-15\nc-10,0,-16.667,5,-20,15z M188 15 H145 v585 v" + midHeight + " v585 h43z\nM367 15 v585 v" + midHeight + " v585 c2.667,10,9.667,15,21,15\nc10,0,16.667,-5,20,-15 v-585 v" + -midHeight + " v-585 c-2.667,-10,-9.667,-15,-21,-15\nc-10,0,-16.667,5,-20,15z M410 15 H367 v585 v" + midHeight + " v585 h43z"; + + case "lfloor": + return "M319 602 V0 H403 V602 v" + midHeight + " v1715 h263 v84 H319z\nMM319 602 V0 H403 V602 v" + midHeight + " v1715 H319z"; + + case "rfloor": + return "M319 602 V0 H403 V602 v" + midHeight + " v1799 H0 v-84 H319z\nMM319 602 V0 H403 V602 v" + midHeight + " v1715 H319z"; + + case "lceil": + return "M403 1759 V84 H666 V0 H319 V1759 v" + midHeight + " v602 h84z\nM403 1759 V0 H319 V1759 v" + midHeight + " v602 h84z"; + + case "rceil": + return "M347 1759 V0 H0 V84 H263 V1759 v" + midHeight + " v602 h84z\nM347 1759 V0 h-84 V1759 v" + midHeight + " v602 h84z"; + + case "lparen": + return "M863,9c0,-2,-2,-5,-6,-9c0,0,-17,0,-17,0c-12.7,0,-19.3,0.3,-20,1\nc-5.3,5.3,-10.3,11,-15,17c-242.7,294.7,-395.3,682,-458,1162c-21.3,163.3,-33.3,349,\n-36,557 l0," + (midHeight + 84) + "c0.2,6,0,26,0,60c2,159.3,10,310.7,24,454c53.3,528,210,\n949.7,470,1265c4.7,6,9.7,11.7,15,17c0.7,0.7,7,1,19,1c0,0,18,0,18,0c4,-4,6,-7,6,-9\nc0,-2.7,-3.3,-8.7,-10,-18c-135.3,-192.7,-235.5,-414.3,-300.5,-665c-65,-250.7,-102.5,\n-544.7,-112.5,-882c-2,-104,-3,-167,-3,-189\nl0,-" + (midHeight + 92) + "c0,-162.7,5.7,-314,17,-454c20.7,-272,63.7,-513,129,-723c65.3,\n-210,155.3,-396.3,270,-559c6.7,-9.3,10,-15.3,10,-18z"; + + case "rparen": + return "M76,0c-16.7,0,-25,3,-25,9c0,2,2,6.3,6,13c21.3,28.7,42.3,60.3,\n63,95c96.7,156.7,172.8,332.5,228.5,527.5c55.7,195,92.8,416.5,111.5,664.5\nc11.3,139.3,17,290.7,17,454c0,28,1.7,43,3.3,45l0," + (midHeight + 9) + "\nc-3,4,-3.3,16.7,-3.3,38c0,162,-5.7,313.7,-17,455c-18.7,248,-55.8,469.3,-111.5,664\nc-55.7,194.7,-131.8,370.3,-228.5,527c-20.7,34.7,-41.7,66.3,-63,95c-2,3.3,-4,7,-6,11\nc0,7.3,5.7,11,17,11c0,0,11,0,11,0c9.3,0,14.3,-0.3,15,-1c5.3,-5.3,10.3,-11,15,-17\nc242.7,-294.7,395.3,-681.7,458,-1161c21.3,-164.7,33.3,-350.7,36,-558\nl0,-" + (midHeight + 144) + "c-2,-159.3,-10,-310.7,-24,-454c-53.3,-528,-210,-949.7,\n-470,-1265c-4.7,-6,-9.7,-11.7,-15,-17c-0.7,-0.7,-6.7,-1,-18,-1z"; + + default: + // We should not ever get here. + throw new Error("Unknown stretchy delimiter."); + } +}; + +/** + * This node represents a document fragment, which contains elements, but when + * placed into the DOM doesn't have any representation itself. It only contains + * children and doesn't have any DOM node properties. + */ +class DocumentFragment { + // HtmlDomNode + // Never used; needed for satisfying interface. + constructor(children) { + this.children = void 0; + this.classes = void 0; + this.height = void 0; + this.depth = void 0; + this.maxFontSize = void 0; + this.style = void 0; + this.children = children; + this.classes = []; + this.height = 0; + this.depth = 0; + this.maxFontSize = 0; + this.style = {}; + } + + hasClass(className) { + return utils.contains(this.classes, className); + } + /** Convert the fragment into a node. */ + + + toNode() { + var frag = document.createDocumentFragment(); + + for (var i = 0; i < this.children.length; i++) { + frag.appendChild(this.children[i].toNode()); + } + + return frag; + } + /** Convert the fragment into HTML markup. */ + + + toMarkup() { + var markup = ""; // Simply concatenate the markup for the children together. + + for (var i = 0; i < this.children.length; i++) { + markup += this.children[i].toMarkup(); + } + + return markup; + } + /** + * Converts the math node into a string, similar to innerText. Applies to + * MathDomNode's only. + */ + + + toText() { + // To avoid this, we would subclass documentFragment separately for + // MathML, but polyfills for subclassing is expensive per PR 1469. + // $FlowFixMe: Only works for ChildType = MathDomNode. + var toText = child => child.toText(); + + return this.children.map(toText).join(""); + } + +} + +// This file is GENERATED by buildMetrics.sh. 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0.61111, 0, 0, 0.525], + "770": [0, 0.61111, 0, 0, 0.525], + "771": [0, 0.61111, 0, 0, 0.525], + "776": [0, 0.61111, 0, 0, 0.525], + "915": [0, 0.61111, 0, 0, 0.525], + "916": [0, 0.61111, 0, 0, 0.525], + "920": [0, 0.61111, 0, 0, 0.525], + "923": [0, 0.61111, 0, 0, 0.525], + "926": [0, 0.61111, 0, 0, 0.525], + "928": [0, 0.61111, 0, 0, 0.525], + "931": [0, 0.61111, 0, 0, 0.525], + "933": [0, 0.61111, 0, 0, 0.525], + "934": [0, 0.61111, 0, 0, 0.525], + "936": [0, 0.61111, 0, 0, 0.525], + "937": [0, 0.61111, 0, 0, 0.525], + "8216": [0, 0.61111, 0, 0, 0.525], + "8217": [0, 0.61111, 0, 0, 0.525], + "8242": [0, 0.61111, 0, 0, 0.525], + "9251": [0.11111, 0.21944, 0, 0, 0.525] + } +}; + +/** + * This file contains metrics regarding fonts and individual symbols. The sigma + * and xi variables, as well as the metricMap map contain data extracted from + * TeX, TeX font metrics, and the TTF files. These data are then exposed via the + * `metrics` variable and the getCharacterMetrics function. + */ +// In TeX, there are actually three sets of dimensions, one for each of +// textstyle (size index 5 and higher: >=9pt), scriptstyle (size index 3 and 4: +// 7-8pt), and scriptscriptstyle (size index 1 and 2: 5-6pt). These are +// provided in the the arrays below, in that order. +// +// The font metrics are stored in fonts cmsy10, cmsy7, and cmsy5 respsectively. +// This was determined by running the following script: +// +// latex -interaction=nonstopmode \ +// '\documentclass{article}\usepackage{amsmath}\begin{document}' \ +// '$a$ \expandafter\show\the\textfont2' \ +// '\expandafter\show\the\scriptfont2' \ +// '\expandafter\show\the\scriptscriptfont2' \ +// '\stop' +// +// The metrics themselves were retreived using the following commands: +// +// tftopl cmsy10 +// tftopl cmsy7 +// tftopl cmsy5 +// +// The output of each of these commands is quite lengthy. The only part we +// care about is the FONTDIMEN section. Each value is measured in EMs. +var sigmasAndXis = { + slant: [0.250, 0.250, 0.250], + // sigma1 + space: [0.000, 0.000, 0.000], + // sigma2 + stretch: [0.000, 0.000, 0.000], + // sigma3 + shrink: [0.000, 0.000, 0.000], + // sigma4 + xHeight: [0.431, 0.431, 0.431], + // sigma5 + quad: [1.000, 1.171, 1.472], + // sigma6 + extraSpace: [0.000, 0.000, 0.000], + // sigma7 + num1: [0.677, 0.732, 0.925], + // sigma8 + num2: [0.394, 0.384, 0.387], + // sigma9 + num3: [0.444, 0.471, 0.504], + // sigma10 + denom1: [0.686, 0.752, 1.025], + // sigma11 + denom2: [0.345, 0.344, 0.532], + // sigma12 + sup1: [0.413, 0.503, 0.504], + // sigma13 + sup2: [0.363, 0.431, 0.404], + // sigma14 + sup3: [0.289, 0.286, 0.294], + // sigma15 + sub1: [0.150, 0.143, 0.200], + // sigma16 + sub2: [0.247, 0.286, 0.400], + // sigma17 + supDrop: [0.386, 0.353, 0.494], + // sigma18 + subDrop: [0.050, 0.071, 0.100], + // sigma19 + delim1: [2.390, 1.700, 1.980], + // sigma20 + delim2: [1.010, 1.157, 1.420], + // sigma21 + axisHeight: [0.250, 0.250, 0.250], + // sigma22 + // These font metrics are extracted from TeX by using tftopl on cmex10.tfm; + // they correspond to the font parameters of the extension fonts (family 3). + // See the TeXbook, page 441. In AMSTeX, the extension fonts scale; to + // match cmex7, we'd use cmex7.tfm values for script and scriptscript + // values. + defaultRuleThickness: [0.04, 0.049, 0.049], + // xi8; cmex7: 0.049 + bigOpSpacing1: [0.111, 0.111, 0.111], + // xi9 + bigOpSpacing2: [0.166, 0.166, 0.166], + // xi10 + bigOpSpacing3: [0.2, 0.2, 0.2], + // xi11 + bigOpSpacing4: [0.6, 0.611, 0.611], + // xi12; cmex7: 0.611 + bigOpSpacing5: [0.1, 0.143, 0.143], + // xi13; cmex7: 0.143 + // The \sqrt rule width is taken from the height of the surd character. + // Since we use the same font at all sizes, this thickness doesn't scale. + sqrtRuleThickness: [0.04, 0.04, 0.04], + // This value determines how large a pt is, for metrics which are defined + // in terms of pts. + // This value is also used in katex.less; if you change it make sure the + // values match. + ptPerEm: [10.0, 10.0, 10.0], + // The space between adjacent `|` columns in an array definition. From + // `\showthe\doublerulesep` in LaTeX. Equals 2.0 / ptPerEm. + doubleRuleSep: [0.2, 0.2, 0.2], + // The width of separator lines in {array} environments. From + // `\showthe\arrayrulewidth` in LaTeX. Equals 0.4 / ptPerEm. + arrayRuleWidth: [0.04, 0.04, 0.04], + // Two values from LaTeX source2e: + fboxsep: [0.3, 0.3, 0.3], + // 3 pt / ptPerEm + fboxrule: [0.04, 0.04, 0.04] // 0.4 pt / ptPerEm + +}; // This map contains a mapping from font name and character code to character +// should have Latin-1 and Cyrillic characters, but may not depending on the +// operating system. The metrics do not account for extra height from the +// accents. In the case of Cyrillic characters which have both ascenders and +// descenders we prefer approximations with ascenders, primarily to prevent +// the fraction bar or root line from intersecting the glyph. +// TODO(kevinb) allow union of multiple glyph metrics for better accuracy. + +var extraCharacterMap = { + // Latin-1 + 'Å': 'A', + 'Ð': 'D', + 'Þ': 'o', + 'å': 'a', + 'ð': 'd', + 'þ': 'o', + // Cyrillic + 'А': 'A', + 'Б': 'B', + 'В': 'B', + 'Г': 'F', + 'Д': 'A', + 'Е': 'E', + 'Ж': 'K', + 'З': '3', + 'И': 'N', + 'Й': 'N', + 'К': 'K', + 'Л': 'N', + 'М': 'M', + 'Н': 'H', + 'О': 'O', + 'П': 'N', + 'Р': 'P', + 'С': 'C', + 'Т': 'T', + 'У': 'y', + 'Ф': 'O', + 'Х': 'X', + 'Ц': 'U', + 'Ч': 'h', + 'Ш': 'W', + 'Щ': 'W', + 'Ъ': 'B', + 'Ы': 'X', + 'Ь': 'B', + 'Э': '3', + 'Ю': 'X', + 'Я': 'R', + 'а': 'a', + 'б': 'b', + 'в': 'a', + 'г': 'r', + 'д': 'y', + 'е': 'e', + 'ж': 'm', + 'з': 'e', + 'и': 'n', + 'й': 'n', + 'к': 'n', + 'л': 'n', + 'м': 'm', + 'н': 'n', + 'о': 'o', + 'п': 'n', + 'р': 'p', + 'с': 'c', + 'т': 'o', + 'у': 'y', + 'ф': 'b', + 'х': 'x', + 'ц': 'n', + 'ч': 'n', + 'ш': 'w', + 'щ': 'w', + 'ъ': 'a', + 'ы': 'm', + 'ь': 'a', + 'э': 'e', + 'ю': 'm', + 'я': 'r' +}; + +/** + * This function adds new font metrics to default metricMap + * It can also override existing metrics + */ +function setFontMetrics(fontName, metrics) { + fontMetricsData[fontName] = metrics; +} +/** + * This function is a convenience function for looking up information in the + * metricMap table. It takes a character as a string, and a font. + * + * Note: the `width` property may be undefined if fontMetricsData.js wasn't + * built using `Make extended_metrics`. + */ + +function getCharacterMetrics(character, font, mode) { + if (!fontMetricsData[font]) { + throw new Error("Font metrics not found for font: " + font + "."); + } + + var ch = character.charCodeAt(0); + var metrics = fontMetricsData[font][ch]; + + if (!metrics && character[0] in extraCharacterMap) { + ch = extraCharacterMap[character[0]].charCodeAt(0); + metrics = fontMetricsData[font][ch]; + } + + if (!metrics && mode === 'text') { + // We don't typically have font metrics for Asian scripts. + // But since we support them in text mode, we need to return + // some sort of metrics. + // So if the character is in a script we support but we + // don't have metrics for it, just use the metrics for + // the Latin capital letter M. This is close enough because + // we (currently) only care about the height of the glpyh + // not its width. + if (supportedCodepoint(ch)) { + metrics = fontMetricsData[font][77]; // 77 is the charcode for 'M' + } + } + + if (metrics) { + return { + depth: metrics[0], + height: metrics[1], + italic: metrics[2], + skew: metrics[3], + width: metrics[4] + }; + } +} +var fontMetricsBySizeIndex = {}; +/** + * Get the font metrics for a given size. + */ + +function getGlobalMetrics(size) { + var sizeIndex; + + if (size >= 5) { + sizeIndex = 0; + } else if (size >= 3) { + sizeIndex = 1; + } else { + sizeIndex = 2; + } + + if (!fontMetricsBySizeIndex[sizeIndex]) { + var metrics = fontMetricsBySizeIndex[sizeIndex] = { + cssEmPerMu: sigmasAndXis.quad[sizeIndex] / 18 + }; + + for (var key in sigmasAndXis) { + if (sigmasAndXis.hasOwnProperty(key)) { + metrics[key] = sigmasAndXis[key][sizeIndex]; + } + } + } + + return fontMetricsBySizeIndex[sizeIndex]; +} + +/** + * This file contains information about the options that the Parser carries + * around with it while parsing. Data is held in an `Options` object, and when + * recursing, a new `Options` object can be created with the `.with*` and + * `.reset` functions. + */ +var sizeStyleMap = [// Each element contains [textsize, scriptsize, scriptscriptsize]. +// The size mappings are taken from TeX with \normalsize=10pt. +[1, 1, 1], // size1: [5, 5, 5] \tiny +[2, 1, 1], // size2: [6, 5, 5] +[3, 1, 1], // size3: [7, 5, 5] \scriptsize +[4, 2, 1], // size4: [8, 6, 5] \footnotesize +[5, 2, 1], // size5: [9, 6, 5] \small +[6, 3, 1], // size6: [10, 7, 5] \normalsize +[7, 4, 2], // size7: [12, 8, 6] \large +[8, 6, 3], // size8: [14.4, 10, 7] \Large +[9, 7, 6], // size9: [17.28, 12, 10] \LARGE +[10, 8, 7], // size10: [20.74, 14.4, 12] \huge +[11, 10, 9] // size11: [24.88, 20.74, 17.28] \HUGE +]; +var sizeMultipliers = [// fontMetrics.js:getGlobalMetrics also uses size indexes, so if +// you change size indexes, change that function. +0.5, 0.6, 0.7, 0.8, 0.9, 1.0, 1.2, 1.44, 1.728, 2.074, 2.488]; + +var sizeAtStyle = function sizeAtStyle(size, style) { + return style.size < 2 ? size : sizeStyleMap[size - 1][style.size - 1]; +}; // In these types, "" (empty string) means "no change". + + +/** + * This is the main options class. It contains the current style, size, color, + * and font. + * + * Options objects should not be modified. To create a new Options with + * different properties, call a `.having*` method. + */ +class Options { + // A font family applies to a group of fonts (i.e. SansSerif), while a font + // represents a specific font (i.e. SansSerif Bold). + // See: https://tex.stackexchange.com/questions/22350/difference-between-textrm-and-mathrm + + /** + * The base size index. + */ + constructor(data) { + this.style = void 0; + this.color = void 0; + this.size = void 0; + this.textSize = void 0; + this.phantom = void 0; + this.font = void 0; + this.fontFamily = void 0; + this.fontWeight = void 0; + this.fontShape = void 0; + this.sizeMultiplier = void 0; + this.maxSize = void 0; + this.minRuleThickness = void 0; + this._fontMetrics = void 0; + this.style = data.style; + this.color = data.color; + this.size = data.size || Options.BASESIZE; + this.textSize = data.textSize || this.size; + this.phantom = !!data.phantom; + this.font = data.font || ""; + this.fontFamily = data.fontFamily || ""; + this.fontWeight = data.fontWeight || ''; + this.fontShape = data.fontShape || ''; + this.sizeMultiplier = sizeMultipliers[this.size - 1]; + this.maxSize = data.maxSize; + this.minRuleThickness = data.minRuleThickness; + this._fontMetrics = undefined; + } + /** + * Returns a new options object with the same properties as "this". Properties + * from "extension" will be copied to the new options object. + */ + + + extend(extension) { + var data = { + style: this.style, + size: this.size, + textSize: this.textSize, + color: this.color, + phantom: this.phantom, + font: this.font, + fontFamily: this.fontFamily, + fontWeight: this.fontWeight, + fontShape: this.fontShape, + maxSize: this.maxSize, + minRuleThickness: this.minRuleThickness + }; + + for (var key in extension) { + if (extension.hasOwnProperty(key)) { + data[key] = extension[key]; + } + } + + return new Options(data); + } + /** + * Return an options object with the given style. If `this.style === style`, + * returns `this`. + */ + + + havingStyle(style) { + if (this.style === style) { + return this; + } else { + return this.extend({ + style: style, + size: sizeAtStyle(this.textSize, style) + }); + } + } + /** + * Return an options object with a cramped version of the current style. If + * the current style is cramped, returns `this`. + */ + + + havingCrampedStyle() { + return this.havingStyle(this.style.cramp()); + } + /** + * Return an options object with the given size and in at least `\textstyle`. + * Returns `this` if appropriate. + */ + + + havingSize(size) { + if (this.size === size && this.textSize === size) { + return this; + } else { + return this.extend({ + style: this.style.text(), + size: size, + textSize: size, + sizeMultiplier: sizeMultipliers[size - 1] + }); + } + } + /** + * Like `this.havingSize(BASESIZE).havingStyle(style)`. If `style` is omitted, + * changes to at least `\textstyle`. + */ + + + havingBaseStyle(style) { + style = style || this.style.text(); + var wantSize = sizeAtStyle(Options.BASESIZE, style); + + if (this.size === wantSize && this.textSize === Options.BASESIZE && this.style === style) { + return this; + } else { + return this.extend({ + style: style, + size: wantSize + }); + } + } + /** + * Remove the effect of sizing changes such as \Huge. + * Keep the effect of the current style, such as \scriptstyle. + */ + + + havingBaseSizing() { + var size; + + switch (this.style.id) { + case 4: + case 5: + size = 3; // normalsize in scriptstyle + + break; + + case 6: + case 7: + size = 1; // normalsize in scriptscriptstyle + + break; + + default: + size = 6; + // normalsize in textstyle or displaystyle + } + + return this.extend({ + style: this.style.text(), + size: size + }); + } + /** + * Create a new options object with the given color. + */ + + + withColor(color) { + return this.extend({ + color: color + }); + } + /** + * Create a new options object with "phantom" set to true. + */ + + + withPhantom() { + return this.extend({ + phantom: true + }); + } + /** + * Creates a new options object with the given math font or old text font. + * @type {[type]} + */ + + + withFont(font) { + return this.extend({ + font + }); + } + /** + * Create a new options objects with the given fontFamily. + */ + + + withTextFontFamily(fontFamily) { + return this.extend({ + fontFamily, + font: "" + }); + } + /** + * Creates a new options object with the given font weight + */ + + + withTextFontWeight(fontWeight) { + return this.extend({ + fontWeight, + font: "" + }); + } + /** + * Creates a new options object with the given font weight + */ + + + withTextFontShape(fontShape) { + return this.extend({ + fontShape, + font: "" + }); + } + /** + * Return the CSS sizing classes required to switch from enclosing options + * `oldOptions` to `this`. Returns an array of classes. + */ + + + sizingClasses(oldOptions) { + if (oldOptions.size !== this.size) { + return ["sizing", "reset-size" + oldOptions.size, "size" + this.size]; + } else { + return []; + } + } + /** + * Return the CSS sizing classes required to switch to the base size. Like + * `this.havingSize(BASESIZE).sizingClasses(this)`. + */ + + + baseSizingClasses() { + if (this.size !== Options.BASESIZE) { + return ["sizing", "reset-size" + this.size, "size" + Options.BASESIZE]; + } else { + return []; + } + } + /** + * Return the font metrics for this size. + */ + + + fontMetrics() { + if (!this._fontMetrics) { + this._fontMetrics = getGlobalMetrics(this.size); + } + + return this._fontMetrics; + } + /** + * Gets the CSS color of the current options object + */ + + + getColor() { + if (this.phantom) { + return "transparent"; + } else { + return this.color; + } + } + +} + +Options.BASESIZE = 6; + +/** + * This file does conversion between units. In particular, it provides + * calculateSize to convert other units into ems. + */ +// Thus, multiplying a length by this number converts the length from units +// into pts. Dividing the result by ptPerEm gives the number of ems +// *assuming* a font size of ptPerEm (normal size, normal style). + +var ptPerUnit = { + // https://en.wikibooks.org/wiki/LaTeX/Lengths and + // https://tex.stackexchange.com/a/8263 + "pt": 1, + // TeX point + "mm": 7227 / 2540, + // millimeter + "cm": 7227 / 254, + // centimeter + "in": 72.27, + // inch + "bp": 803 / 800, + // big (PostScript) points + "pc": 12, + // pica + "dd": 1238 / 1157, + // didot + "cc": 14856 / 1157, + // cicero (12 didot) + "nd": 685 / 642, + // new didot + "nc": 1370 / 107, + // new cicero (12 new didot) + "sp": 1 / 65536, + // scaled point (TeX's internal smallest unit) + // https://tex.stackexchange.com/a/41371 + "px": 803 / 800 // \pdfpxdimen defaults to 1 bp in pdfTeX and LuaTeX + +}; // Dictionary of relative units, for fast validity testing. + +var relativeUnit = { + "ex": true, + "em": true, + "mu": true +}; + +/** + * Determine whether the specified unit (either a string defining the unit + * or a "size" parse node containing a unit field) is valid. + */ +var validUnit = function validUnit(unit) { + if (typeof unit !== "string") { + unit = unit.unit; + } + + return unit in ptPerUnit || unit in relativeUnit || unit === "ex"; +}; +/* + * Convert a "size" parse node (with numeric "number" and string "unit" fields, + * as parsed by functions.js argType "size") into a CSS em value for the + * current style/scale. `options` gives the current options. + */ + +var calculateSize = function calculateSize(sizeValue, options) { + var scale; + + if (sizeValue.unit in ptPerUnit) { + // Absolute units + scale = ptPerUnit[sizeValue.unit] // Convert unit to pt + / options.fontMetrics().ptPerEm // Convert pt to CSS em + / options.sizeMultiplier; // Unscale to make absolute units + } else if (sizeValue.unit === "mu") { + // `mu` units scale with scriptstyle/scriptscriptstyle. + scale = options.fontMetrics().cssEmPerMu; + } else { + // Other relative units always refer to the *textstyle* font + // in the current size. + var unitOptions; + + if (options.style.isTight()) { + // isTight() means current style is script/scriptscript. + unitOptions = options.havingStyle(options.style.text()); + } else { + unitOptions = options; + } // TODO: In TeX these units are relative to the quad of the current + // *text* font, e.g. cmr10. KaTeX instead uses values from the + // comparably-sized *Computer Modern symbol* font. At 10pt, these + // match. At 7pt and 5pt, they differ: cmr7=1.138894, cmsy7=1.170641; + // cmr5=1.361133, cmsy5=1.472241. Consider $\scriptsize a\kern1emb$. + // TeX \showlists shows a kern of 1.13889 * fontsize; + // KaTeX shows a kern of 1.171 * fontsize. + + + if (sizeValue.unit === "ex") { + scale = unitOptions.fontMetrics().xHeight; + } else if (sizeValue.unit === "em") { + scale = unitOptions.fontMetrics().quad; + } else { + throw new ParseError("Invalid unit: '" + sizeValue.unit + "'"); + } + + if (unitOptions !== options) { + scale *= unitOptions.sizeMultiplier / options.sizeMultiplier; + } + } + + return Math.min(sizeValue.number * scale, options.maxSize); +}; +/** + * Round `n` to 4 decimal places, or to the nearest 1/10,000th em. See + * https://github.com/KaTeX/KaTeX/pull/2460. + */ + +var makeEm = function makeEm(n) { + return +n.toFixed(4) + "em"; +}; + +/** + * These objects store the data about the DOM nodes we create, as well as some + * extra data. They can then be transformed into real DOM nodes with the + * `toNode` function or HTML markup using `toMarkup`. They are useful for both + * storing extra properties on the nodes, as well as providing a way to easily + * work with the DOM. + * + * Similar functions for working with MathML nodes exist in mathMLTree.js. + * + * TODO: refactor `span` and `anchor` into common superclass when + * target environments support class inheritance + */ + +/** + * Create an HTML className based on a list of classes. In addition to joining + * with spaces, we also remove empty classes. + */ +var createClass = function createClass(classes) { + return classes.filter(cls => cls).join(" "); +}; + +var initNode = function initNode(classes, options, style) { + this.classes = classes || []; + this.attributes = {}; + this.height = 0; + this.depth = 0; + this.maxFontSize = 0; + this.style = style || {}; + + if (options) { + if (options.style.isTight()) { + this.classes.push("mtight"); + } + + var color = options.getColor(); + + if (color) { + this.style.color = color; + } + } +}; +/** + * Convert into an HTML node + */ + + +var toNode = function toNode(tagName) { + var node = document.createElement(tagName); // Apply the class + + node.className = createClass(this.classes); // Apply inline styles + + for (var style in this.style) { + if (this.style.hasOwnProperty(style)) { + // $FlowFixMe Flow doesn't seem to understand span.style's type. + node.style[style] = this.style[style]; + } + } // Apply attributes + + + for (var attr in this.attributes) { + if (this.attributes.hasOwnProperty(attr)) { + node.setAttribute(attr, this.attributes[attr]); + } + } // Append the children, also as HTML nodes + + + for (var i = 0; i < this.children.length; i++) { + node.appendChild(this.children[i].toNode()); + } + + return node; +}; +/** + * Convert into an HTML markup string + */ + + +var toMarkup = function toMarkup(tagName) { + var markup = "<" + tagName; // Add the class + + if (this.classes.length) { + markup += " class=\"" + utils.escape(createClass(this.classes)) + "\""; + } + + var styles = ""; // Add the styles, after hyphenation + + for (var style in this.style) { + if (this.style.hasOwnProperty(style)) { + styles += utils.hyphenate(style) + ":" + this.style[style] + ";"; + } + } + + if (styles) { + markup += " style=\"" + utils.escape(styles) + "\""; + } // Add the attributes + + + for (var attr in this.attributes) { + if (this.attributes.hasOwnProperty(attr)) { + markup += " " + attr + "=\"" + utils.escape(this.attributes[attr]) + "\""; + } + } + + markup += ">"; // Add the markup of the children, also as markup + + for (var i = 0; i < this.children.length; i++) { + markup += this.children[i].toMarkup(); + } + + markup += ""; + return markup; +}; // Making the type below exact with all optional fields doesn't work due to +// - https://github.com/facebook/flow/issues/4582 +// - https://github.com/facebook/flow/issues/5688 +// However, since *all* fields are optional, $Shape<> works as suggested in 5688 +// above. +// This type does not include all CSS properties. Additional properties should +// be added as needed. + + +/** + * This node represents a span node, with a className, a list of children, and + * an inline style. It also contains information about its height, depth, and + * maxFontSize. + * + * Represents two types with different uses: SvgSpan to wrap an SVG and DomSpan + * otherwise. This typesafety is important when HTML builders access a span's + * children. + */ +class Span { + constructor(classes, children, options, style) { + this.children = void 0; + this.attributes = void 0; + this.classes = void 0; + this.height = void 0; + this.depth = void 0; + this.width = void 0; + this.maxFontSize = void 0; + this.style = void 0; + initNode.call(this, classes, options, style); + this.children = children || []; + } + /** + * Sets an arbitrary attribute on the span. Warning: use this wisely. Not + * all browsers support attributes the same, and having too many custom + * attributes is probably bad. + */ + + + setAttribute(attribute, value) { + this.attributes[attribute] = value; + } + + hasClass(className) { + return utils.contains(this.classes, className); + } + + toNode() { + return toNode.call(this, "span"); + } + + toMarkup() { + return toMarkup.call(this, "span"); + } + +} +/** + * This node represents an anchor () element with a hyperlink. See `span` + * for further details. + */ + +class Anchor { + constructor(href, classes, children, options) { + this.children = void 0; + this.attributes = void 0; + this.classes = void 0; + this.height = void 0; + this.depth = void 0; + this.maxFontSize = void 0; + this.style = void 0; + initNode.call(this, classes, options); + this.children = children || []; + this.setAttribute('href', href); + } + + setAttribute(attribute, value) { + this.attributes[attribute] = value; + } + + hasClass(className) { + return utils.contains(this.classes, className); + } + + toNode() { + return toNode.call(this, "a"); + } + + toMarkup() { + return toMarkup.call(this, "a"); + } + +} +/** + * This node represents an image embed () element. + */ + +class Img { + constructor(src, alt, style) { + this.src = void 0; + this.alt = void 0; + this.classes = void 0; + this.height = void 0; + this.depth = void 0; + this.maxFontSize = void 0; + this.style = void 0; + this.alt = alt; + this.src = src; + this.classes = ["mord"]; + this.style = style; + } + + hasClass(className) { + return utils.contains(this.classes, className); + } + + toNode() { + var node = document.createElement("img"); + node.src = this.src; + node.alt = this.alt; + node.className = "mord"; // Apply inline styles + + for (var style in this.style) { + if (this.style.hasOwnProperty(style)) { + // $FlowFixMe + node.style[style] = this.style[style]; + } + } + + return node; + } + + toMarkup() { + var markup = "" + this.alt + " 0) { + span = document.createElement("span"); + span.style.marginRight = makeEm(this.italic); + } + + if (this.classes.length > 0) { + span = span || document.createElement("span"); + span.className = createClass(this.classes); + } + + for (var style in this.style) { + if (this.style.hasOwnProperty(style)) { + span = span || document.createElement("span"); // $FlowFixMe Flow doesn't seem to understand span.style's type. + + span.style[style] = this.style[style]; + } + } + + if (span) { + span.appendChild(node); + return span; + } else { + return node; + } + } + /** + * Creates markup for a symbol node. + */ + + + toMarkup() { + // TODO(alpert): More duplication than I'd like from + // span.prototype.toMarkup and symbolNode.prototype.toNode... + var needsSpan = false; + var markup = " 0) { + styles += "margin-right:" + this.italic + "em;"; + } + + for (var style in this.style) { + if (this.style.hasOwnProperty(style)) { + styles += utils.hyphenate(style) + ":" + this.style[style] + ";"; + } + } + + if (styles) { + needsSpan = true; + markup += " style=\"" + utils.escape(styles) + "\""; + } + + var escaped = utils.escape(this.text); + + if (needsSpan) { + markup += ">"; + markup += escaped; + markup += ""; + return markup; + } else { + return escaped; + } + } + +} +/** + * SVG nodes are used to render stretchy wide elements. + */ + +class SvgNode { + constructor(children, attributes) { + this.children = void 0; + this.attributes = void 0; + this.children = children || []; + this.attributes = attributes || {}; + } + + toNode() { + var svgNS = "http://www.w3.org/2000/svg"; + var node = document.createElementNS(svgNS, "svg"); // Apply attributes + + for (var attr in this.attributes) { + if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) { + node.setAttribute(attr, this.attributes[attr]); + } + } + + for (var i = 0; i < this.children.length; i++) { + node.appendChild(this.children[i].toNode()); + } + + return node; + } + + toMarkup() { + var markup = ""; + } else { + return ""; + } + } + +} +class LineNode { + constructor(attributes) { + this.attributes = void 0; + this.attributes = attributes || {}; + } + + toNode() { + var svgNS = "http://www.w3.org/2000/svg"; + var node = document.createElementNS(svgNS, "line"); // Apply attributes + + for (var attr in this.attributes) { + if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) { + node.setAttribute(attr, this.attributes[attr]); + } + } + + return node; + } + + toMarkup() { + var markup = " but got " + String(group) + "."); + } +} + +/** + * This file holds a list of all no-argument functions and single-character + * symbols (like 'a' or ';'). + * + * For each of the symbols, there are three properties they can have: + * - font (required): the font to be used for this symbol. Either "main" (the + normal font), or "ams" (the ams fonts). + * - group (required): the ParseNode group type the symbol should have (i.e. + "textord", "mathord", etc). + See https://github.com/KaTeX/KaTeX/wiki/Examining-TeX#group-types + * - replace: the character that this symbol or function should be + * replaced with (i.e. "\phi" has a replace value of "\u03d5", the phi + * character in the main font). + * + * The outermost map in the table indicates what mode the symbols should be + * accepted in (e.g. "math" or "text"). + */ +// Some of these have a "-token" suffix since these are also used as `ParseNode` +// types for raw text tokens, and we want to avoid conflicts with higher-level +// `ParseNode` types. These `ParseNode`s are constructed within `Parser` by +// looking up the `symbols` map. +var ATOMS = { + "bin": 1, + "close": 1, + "inner": 1, + "open": 1, + "punct": 1, + "rel": 1 +}; +var NON_ATOMS = { + "accent-token": 1, + "mathord": 1, + "op-token": 1, + "spacing": 1, + "textord": 1 +}; +var symbols = { + "math": {}, + "text": {} +}; +/** `acceptUnicodeChar = true` is only applicable if `replace` is set. */ + +function defineSymbol(mode, font, group, replace, name, acceptUnicodeChar) { + symbols[mode][name] = { + font, + group, + replace + }; + + if (acceptUnicodeChar && replace) { + symbols[mode][replace] = symbols[mode][name]; + } +} // Some abbreviations for commonly used strings. +// This helps minify the code, and also spotting typos using jshint. +// modes: + +var math = "math"; +var text = "text"; // fonts: + +var main = "main"; +var ams = "ams"; // groups: + +var accent = "accent-token"; +var bin = "bin"; +var close = "close"; +var inner = "inner"; +var mathord = "mathord"; +var op = "op-token"; +var open = "open"; +var punct = "punct"; +var rel = "rel"; +var spacing = "spacing"; +var textord = "textord"; // Now comes the symbol table +// Relation Symbols + +defineSymbol(math, main, rel, "\u2261", "\\equiv", true); +defineSymbol(math, main, rel, "\u227a", "\\prec", true); +defineSymbol(math, main, rel, "\u227b", "\\succ", true); +defineSymbol(math, main, rel, "\u223c", "\\sim", true); +defineSymbol(math, main, rel, "\u22a5", "\\perp"); +defineSymbol(math, main, rel, "\u2aaf", "\\preceq", true); +defineSymbol(math, main, rel, "\u2ab0", "\\succeq", true); +defineSymbol(math, main, rel, "\u2243", "\\simeq", true); +defineSymbol(math, main, rel, "\u2223", "\\mid", true); +defineSymbol(math, main, rel, "\u226a", "\\ll", true); +defineSymbol(math, main, rel, "\u226b", "\\gg", true); +defineSymbol(math, main, rel, "\u224d", "\\asymp", true); +defineSymbol(math, main, rel, "\u2225", "\\parallel"); +defineSymbol(math, main, rel, "\u22c8", "\\bowtie", true); +defineSymbol(math, main, rel, "\u2323", "\\smile", true); +defineSymbol(math, main, rel, "\u2291", "\\sqsubseteq", true); +defineSymbol(math, main, rel, "\u2292", "\\sqsupseteq", true); +defineSymbol(math, main, rel, "\u2250", "\\doteq", true); +defineSymbol(math, main, rel, "\u2322", "\\frown", true); +defineSymbol(math, main, rel, "\u220b", "\\ni", true); +defineSymbol(math, main, rel, "\u221d", "\\propto", true); +defineSymbol(math, main, rel, "\u22a2", "\\vdash", true); +defineSymbol(math, main, rel, "\u22a3", "\\dashv", true); +defineSymbol(math, main, rel, "\u220b", "\\owns"); // Punctuation + +defineSymbol(math, main, punct, "\u002e", "\\ldotp"); +defineSymbol(math, main, punct, "\u22c5", "\\cdotp"); // Misc Symbols + +defineSymbol(math, main, textord, "\u0023", "\\#"); +defineSymbol(text, main, textord, "\u0023", "\\#"); +defineSymbol(math, main, textord, "\u0026", "\\&"); +defineSymbol(text, main, textord, "\u0026", "\\&"); +defineSymbol(math, main, textord, "\u2135", "\\aleph", true); +defineSymbol(math, main, textord, "\u2200", "\\forall", true); +defineSymbol(math, main, textord, "\u210f", "\\hbar", true); +defineSymbol(math, main, textord, "\u2203", "\\exists", true); +defineSymbol(math, main, textord, "\u2207", "\\nabla", true); +defineSymbol(math, main, textord, "\u266d", "\\flat", true); +defineSymbol(math, main, textord, "\u2113", "\\ell", true); +defineSymbol(math, main, textord, "\u266e", "\\natural", true); +defineSymbol(math, main, textord, "\u2663", "\\clubsuit", true); +defineSymbol(math, main, textord, "\u2118", "\\wp", true); +defineSymbol(math, main, textord, "\u266f", "\\sharp", true); +defineSymbol(math, main, textord, "\u2662", "\\diamondsuit", true); +defineSymbol(math, main, textord, "\u211c", "\\Re", true); +defineSymbol(math, main, textord, "\u2661", "\\heartsuit", true); +defineSymbol(math, main, textord, "\u2111", "\\Im", true); +defineSymbol(math, main, textord, "\u2660", "\\spadesuit", true); +defineSymbol(math, main, textord, "\u00a7", "\\S", true); +defineSymbol(text, main, textord, "\u00a7", "\\S"); +defineSymbol(math, main, textord, "\u00b6", "\\P", true); +defineSymbol(text, main, textord, "\u00b6", "\\P"); // Math and Text + +defineSymbol(math, main, textord, "\u2020", "\\dag"); +defineSymbol(text, main, textord, "\u2020", "\\dag"); +defineSymbol(text, main, textord, "\u2020", "\\textdagger"); +defineSymbol(math, main, textord, "\u2021", "\\ddag"); +defineSymbol(text, main, textord, "\u2021", "\\ddag"); +defineSymbol(text, main, textord, "\u2021", "\\textdaggerdbl"); // Large Delimiters + +defineSymbol(math, main, close, "\u23b1", "\\rmoustache", true); +defineSymbol(math, main, open, "\u23b0", "\\lmoustache", true); +defineSymbol(math, main, close, "\u27ef", "\\rgroup", true); +defineSymbol(math, main, open, "\u27ee", "\\lgroup", true); // Binary Operators + +defineSymbol(math, main, bin, "\u2213", "\\mp", true); +defineSymbol(math, main, bin, "\u2296", "\\ominus", true); +defineSymbol(math, main, bin, "\u228e", "\\uplus", true); +defineSymbol(math, main, bin, "\u2293", "\\sqcap", true); +defineSymbol(math, main, bin, "\u2217", "\\ast"); +defineSymbol(math, main, bin, "\u2294", "\\sqcup", true); +defineSymbol(math, main, bin, "\u25ef", "\\bigcirc", true); +defineSymbol(math, main, bin, "\u2219", "\\bullet", true); +defineSymbol(math, main, bin, "\u2021", "\\ddagger"); +defineSymbol(math, main, bin, "\u2240", "\\wr", true); +defineSymbol(math, main, bin, "\u2a3f", "\\amalg"); +defineSymbol(math, main, bin, "\u0026", "\\And"); // from amsmath +// Arrow Symbols + +defineSymbol(math, main, rel, "\u27f5", "\\longleftarrow", true); +defineSymbol(math, main, rel, "\u21d0", "\\Leftarrow", true); +defineSymbol(math, main, rel, "\u27f8", "\\Longleftarrow", true); +defineSymbol(math, main, rel, "\u27f6", "\\longrightarrow", true); +defineSymbol(math, main, rel, "\u21d2", "\\Rightarrow", true); +defineSymbol(math, main, rel, "\u27f9", "\\Longrightarrow", true); +defineSymbol(math, main, rel, "\u2194", "\\leftrightarrow", true); +defineSymbol(math, main, rel, "\u27f7", "\\longleftrightarrow", true); +defineSymbol(math, main, rel, "\u21d4", "\\Leftrightarrow", true); +defineSymbol(math, main, rel, "\u27fa", "\\Longleftrightarrow", true); +defineSymbol(math, main, rel, "\u21a6", "\\mapsto", true); +defineSymbol(math, main, rel, "\u27fc", "\\longmapsto", true); +defineSymbol(math, main, rel, "\u2197", "\\nearrow", true); +defineSymbol(math, main, rel, "\u21a9", "\\hookleftarrow", true); +defineSymbol(math, main, rel, "\u21aa", "\\hookrightarrow", true); +defineSymbol(math, main, rel, "\u2198", "\\searrow", true); +defineSymbol(math, main, rel, "\u21bc", "\\leftharpoonup", true); +defineSymbol(math, main, rel, "\u21c0", "\\rightharpoonup", true); +defineSymbol(math, main, rel, "\u2199", "\\swarrow", true); +defineSymbol(math, main, rel, "\u21bd", "\\leftharpoondown", true); +defineSymbol(math, main, rel, "\u21c1", "\\rightharpoondown", true); +defineSymbol(math, main, rel, "\u2196", "\\nwarrow", true); +defineSymbol(math, main, rel, "\u21cc", "\\rightleftharpoons", true); // AMS Negated Binary Relations + +defineSymbol(math, ams, rel, "\u226e", "\\nless", true); // Symbol names preceeded by "@" each have a corresponding macro. + +defineSymbol(math, ams, rel, "\ue010", "\\@nleqslant"); +defineSymbol(math, ams, rel, "\ue011", "\\@nleqq"); +defineSymbol(math, ams, rel, "\u2a87", "\\lneq", true); +defineSymbol(math, ams, rel, "\u2268", "\\lneqq", true); +defineSymbol(math, ams, rel, "\ue00c", "\\@lvertneqq"); +defineSymbol(math, ams, rel, "\u22e6", "\\lnsim", true); +defineSymbol(math, ams, rel, "\u2a89", "\\lnapprox", true); +defineSymbol(math, ams, rel, "\u2280", "\\nprec", true); // unicode-math maps \u22e0 to \npreccurlyeq. We'll use the AMS synonym. + +defineSymbol(math, ams, rel, "\u22e0", "\\npreceq", true); +defineSymbol(math, ams, rel, "\u22e8", "\\precnsim", true); +defineSymbol(math, ams, rel, "\u2ab9", "\\precnapprox", true); +defineSymbol(math, ams, rel, "\u2241", "\\nsim", true); +defineSymbol(math, ams, rel, "\ue006", "\\@nshortmid"); +defineSymbol(math, ams, rel, "\u2224", "\\nmid", true); +defineSymbol(math, ams, rel, "\u22ac", "\\nvdash", true); +defineSymbol(math, ams, rel, "\u22ad", "\\nvDash", true); +defineSymbol(math, ams, rel, "\u22ea", "\\ntriangleleft"); +defineSymbol(math, ams, rel, "\u22ec", "\\ntrianglelefteq", true); +defineSymbol(math, ams, rel, "\u228a", "\\subsetneq", true); +defineSymbol(math, ams, rel, "\ue01a", "\\@varsubsetneq"); +defineSymbol(math, ams, rel, "\u2acb", "\\subsetneqq", true); +defineSymbol(math, ams, rel, "\ue017", "\\@varsubsetneqq"); +defineSymbol(math, ams, rel, "\u226f", "\\ngtr", true); +defineSymbol(math, ams, rel, "\ue00f", "\\@ngeqslant"); +defineSymbol(math, ams, rel, "\ue00e", "\\@ngeqq"); +defineSymbol(math, ams, rel, "\u2a88", "\\gneq", true); +defineSymbol(math, ams, rel, "\u2269", "\\gneqq", true); +defineSymbol(math, ams, rel, "\ue00d", "\\@gvertneqq"); +defineSymbol(math, ams, rel, "\u22e7", "\\gnsim", true); +defineSymbol(math, ams, rel, "\u2a8a", "\\gnapprox", true); +defineSymbol(math, ams, rel, "\u2281", "\\nsucc", true); // unicode-math maps \u22e1 to \nsucccurlyeq. We'll use the AMS synonym. + +defineSymbol(math, ams, rel, "\u22e1", "\\nsucceq", true); +defineSymbol(math, ams, rel, "\u22e9", "\\succnsim", true); +defineSymbol(math, ams, rel, "\u2aba", "\\succnapprox", true); // unicode-math maps \u2246 to \simneqq. We'll use the AMS synonym. + +defineSymbol(math, ams, rel, "\u2246", "\\ncong", true); +defineSymbol(math, ams, rel, "\ue007", "\\@nshortparallel"); +defineSymbol(math, ams, rel, "\u2226", "\\nparallel", true); +defineSymbol(math, ams, rel, "\u22af", "\\nVDash", true); +defineSymbol(math, ams, rel, "\u22eb", "\\ntriangleright"); +defineSymbol(math, ams, rel, "\u22ed", "\\ntrianglerighteq", true); +defineSymbol(math, ams, rel, "\ue018", "\\@nsupseteqq"); +defineSymbol(math, ams, rel, "\u228b", "\\supsetneq", true); +defineSymbol(math, ams, rel, "\ue01b", "\\@varsupsetneq"); +defineSymbol(math, ams, rel, "\u2acc", "\\supsetneqq", true); +defineSymbol(math, ams, rel, "\ue019", "\\@varsupsetneqq"); +defineSymbol(math, ams, rel, "\u22ae", "\\nVdash", true); +defineSymbol(math, ams, rel, "\u2ab5", "\\precneqq", true); +defineSymbol(math, ams, rel, "\u2ab6", "\\succneqq", true); +defineSymbol(math, ams, rel, "\ue016", "\\@nsubseteqq"); +defineSymbol(math, ams, bin, "\u22b4", "\\unlhd"); +defineSymbol(math, ams, bin, "\u22b5", "\\unrhd"); // AMS Negated Arrows + +defineSymbol(math, ams, rel, "\u219a", "\\nleftarrow", true); +defineSymbol(math, ams, rel, "\u219b", "\\nrightarrow", true); +defineSymbol(math, ams, rel, "\u21cd", "\\nLeftarrow", true); +defineSymbol(math, ams, rel, "\u21cf", "\\nRightarrow", true); +defineSymbol(math, ams, rel, "\u21ae", "\\nleftrightarrow", true); +defineSymbol(math, ams, rel, "\u21ce", "\\nLeftrightarrow", true); // AMS Misc + +defineSymbol(math, ams, rel, "\u25b3", "\\vartriangle"); +defineSymbol(math, ams, textord, "\u210f", "\\hslash"); +defineSymbol(math, ams, textord, "\u25bd", "\\triangledown"); +defineSymbol(math, ams, textord, "\u25ca", "\\lozenge"); +defineSymbol(math, ams, textord, "\u24c8", "\\circledS"); +defineSymbol(math, ams, textord, "\u00ae", "\\circledR"); +defineSymbol(text, ams, textord, "\u00ae", "\\circledR"); +defineSymbol(math, ams, textord, "\u2221", "\\measuredangle", true); +defineSymbol(math, ams, textord, "\u2204", "\\nexists"); +defineSymbol(math, ams, textord, "\u2127", "\\mho"); +defineSymbol(math, ams, textord, "\u2132", "\\Finv", true); +defineSymbol(math, ams, textord, "\u2141", "\\Game", true); +defineSymbol(math, ams, textord, "\u2035", "\\backprime"); +defineSymbol(math, ams, textord, "\u25b2", "\\blacktriangle"); +defineSymbol(math, ams, textord, "\u25bc", "\\blacktriangledown"); +defineSymbol(math, ams, textord, "\u25a0", "\\blacksquare"); +defineSymbol(math, ams, textord, "\u29eb", "\\blacklozenge"); +defineSymbol(math, ams, textord, "\u2605", "\\bigstar"); +defineSymbol(math, ams, textord, "\u2222", "\\sphericalangle", true); +defineSymbol(math, ams, textord, "\u2201", "\\complement", true); // unicode-math maps U+F0 to \matheth. We map to AMS function \eth + +defineSymbol(math, ams, textord, "\u00f0", "\\eth", true); +defineSymbol(text, main, textord, "\u00f0", "\u00f0"); +defineSymbol(math, ams, textord, "\u2571", "\\diagup"); +defineSymbol(math, ams, textord, "\u2572", "\\diagdown"); +defineSymbol(math, ams, textord, "\u25a1", "\\square"); +defineSymbol(math, ams, textord, "\u25a1", "\\Box"); +defineSymbol(math, ams, textord, "\u25ca", "\\Diamond"); // unicode-math maps U+A5 to \mathyen. We map to AMS function \yen + +defineSymbol(math, ams, textord, "\u00a5", "\\yen", true); +defineSymbol(text, ams, textord, "\u00a5", "\\yen", true); +defineSymbol(math, ams, textord, "\u2713", "\\checkmark", true); +defineSymbol(text, ams, textord, "\u2713", "\\checkmark"); // AMS Hebrew + +defineSymbol(math, ams, textord, "\u2136", "\\beth", true); +defineSymbol(math, ams, textord, "\u2138", "\\daleth", true); +defineSymbol(math, ams, textord, "\u2137", "\\gimel", true); // AMS Greek + +defineSymbol(math, ams, textord, "\u03dd", "\\digamma", true); +defineSymbol(math, ams, textord, "\u03f0", "\\varkappa"); // AMS Delimiters + +defineSymbol(math, ams, open, "\u250c", "\\@ulcorner", true); +defineSymbol(math, ams, close, "\u2510", "\\@urcorner", true); +defineSymbol(math, ams, open, "\u2514", "\\@llcorner", true); +defineSymbol(math, ams, close, "\u2518", "\\@lrcorner", true); // AMS Binary Relations + +defineSymbol(math, ams, rel, "\u2266", "\\leqq", true); +defineSymbol(math, ams, rel, "\u2a7d", "\\leqslant", true); +defineSymbol(math, ams, rel, "\u2a95", "\\eqslantless", true); +defineSymbol(math, ams, rel, "\u2272", "\\lesssim", true); +defineSymbol(math, ams, rel, "\u2a85", "\\lessapprox", true); +defineSymbol(math, ams, rel, "\u224a", "\\approxeq", true); +defineSymbol(math, ams, bin, "\u22d6", "\\lessdot"); +defineSymbol(math, ams, rel, "\u22d8", "\\lll", true); +defineSymbol(math, ams, rel, "\u2276", "\\lessgtr", true); +defineSymbol(math, ams, rel, "\u22da", "\\lesseqgtr", true); +defineSymbol(math, ams, rel, "\u2a8b", "\\lesseqqgtr", true); +defineSymbol(math, ams, rel, "\u2251", "\\doteqdot"); +defineSymbol(math, ams, rel, "\u2253", "\\risingdotseq", true); +defineSymbol(math, ams, rel, "\u2252", "\\fallingdotseq", true); +defineSymbol(math, ams, rel, "\u223d", "\\backsim", true); +defineSymbol(math, ams, rel, "\u22cd", "\\backsimeq", true); +defineSymbol(math, ams, rel, "\u2ac5", "\\subseteqq", true); +defineSymbol(math, ams, rel, "\u22d0", "\\Subset", true); +defineSymbol(math, ams, rel, "\u228f", "\\sqsubset", true); +defineSymbol(math, ams, rel, "\u227c", "\\preccurlyeq", true); +defineSymbol(math, ams, rel, "\u22de", "\\curlyeqprec", true); +defineSymbol(math, ams, rel, "\u227e", "\\precsim", true); +defineSymbol(math, ams, rel, "\u2ab7", "\\precapprox", true); +defineSymbol(math, ams, rel, "\u22b2", "\\vartriangleleft"); +defineSymbol(math, ams, rel, "\u22b4", "\\trianglelefteq"); +defineSymbol(math, ams, rel, "\u22a8", "\\vDash", true); +defineSymbol(math, ams, rel, "\u22aa", "\\Vvdash", true); +defineSymbol(math, ams, rel, "\u2323", "\\smallsmile"); +defineSymbol(math, ams, rel, "\u2322", "\\smallfrown"); +defineSymbol(math, ams, rel, "\u224f", "\\bumpeq", true); +defineSymbol(math, ams, rel, "\u224e", "\\Bumpeq", true); +defineSymbol(math, ams, rel, "\u2267", "\\geqq", true); +defineSymbol(math, ams, rel, "\u2a7e", "\\geqslant", true); +defineSymbol(math, ams, rel, "\u2a96", "\\eqslantgtr", true); +defineSymbol(math, ams, rel, "\u2273", "\\gtrsim", true); +defineSymbol(math, ams, rel, "\u2a86", "\\gtrapprox", true); +defineSymbol(math, ams, bin, "\u22d7", "\\gtrdot"); +defineSymbol(math, ams, rel, "\u22d9", "\\ggg", true); +defineSymbol(math, ams, rel, "\u2277", "\\gtrless", true); +defineSymbol(math, ams, rel, "\u22db", "\\gtreqless", true); +defineSymbol(math, ams, rel, "\u2a8c", "\\gtreqqless", true); +defineSymbol(math, ams, rel, "\u2256", "\\eqcirc", true); +defineSymbol(math, ams, rel, "\u2257", "\\circeq", true); +defineSymbol(math, ams, rel, "\u225c", "\\triangleq", true); +defineSymbol(math, ams, rel, "\u223c", "\\thicksim"); +defineSymbol(math, ams, rel, "\u2248", "\\thickapprox"); +defineSymbol(math, ams, rel, "\u2ac6", "\\supseteqq", true); +defineSymbol(math, ams, rel, "\u22d1", "\\Supset", true); +defineSymbol(math, ams, rel, "\u2290", "\\sqsupset", true); +defineSymbol(math, ams, rel, "\u227d", "\\succcurlyeq", true); +defineSymbol(math, ams, rel, "\u22df", "\\curlyeqsucc", true); +defineSymbol(math, ams, rel, "\u227f", "\\succsim", true); +defineSymbol(math, ams, rel, "\u2ab8", "\\succapprox", true); +defineSymbol(math, ams, rel, "\u22b3", "\\vartriangleright"); +defineSymbol(math, ams, rel, "\u22b5", "\\trianglerighteq"); +defineSymbol(math, ams, rel, "\u22a9", "\\Vdash", true); +defineSymbol(math, ams, rel, "\u2223", "\\shortmid"); +defineSymbol(math, ams, rel, "\u2225", "\\shortparallel"); +defineSymbol(math, ams, rel, "\u226c", "\\between", true); +defineSymbol(math, ams, rel, "\u22d4", "\\pitchfork", true); +defineSymbol(math, ams, rel, "\u221d", "\\varpropto"); +defineSymbol(math, ams, rel, "\u25c0", "\\blacktriangleleft"); // unicode-math says that \therefore is a mathord atom. +// We kept the amssymb atom type, which is rel. + +defineSymbol(math, ams, rel, "\u2234", "\\therefore", true); +defineSymbol(math, ams, rel, "\u220d", "\\backepsilon"); +defineSymbol(math, ams, rel, "\u25b6", "\\blacktriangleright"); // unicode-math says that \because is a mathord atom. +// We kept the amssymb atom type, which is rel. + +defineSymbol(math, ams, rel, "\u2235", "\\because", true); +defineSymbol(math, ams, rel, "\u22d8", "\\llless"); +defineSymbol(math, ams, rel, "\u22d9", "\\gggtr"); +defineSymbol(math, ams, bin, "\u22b2", "\\lhd"); +defineSymbol(math, ams, bin, "\u22b3", "\\rhd"); +defineSymbol(math, ams, rel, "\u2242", "\\eqsim", true); +defineSymbol(math, main, rel, "\u22c8", "\\Join"); +defineSymbol(math, ams, rel, "\u2251", "\\Doteq", true); // AMS Binary Operators + +defineSymbol(math, ams, bin, "\u2214", "\\dotplus", true); +defineSymbol(math, ams, bin, "\u2216", "\\smallsetminus"); +defineSymbol(math, ams, bin, "\u22d2", "\\Cap", true); +defineSymbol(math, ams, bin, "\u22d3", "\\Cup", true); +defineSymbol(math, ams, bin, "\u2a5e", "\\doublebarwedge", true); +defineSymbol(math, ams, bin, "\u229f", "\\boxminus", true); +defineSymbol(math, ams, bin, "\u229e", "\\boxplus", true); +defineSymbol(math, ams, bin, "\u22c7", "\\divideontimes", true); +defineSymbol(math, ams, bin, "\u22c9", "\\ltimes", true); +defineSymbol(math, ams, bin, "\u22ca", "\\rtimes", true); +defineSymbol(math, ams, bin, "\u22cb", "\\leftthreetimes", true); +defineSymbol(math, ams, bin, "\u22cc", "\\rightthreetimes", true); +defineSymbol(math, ams, bin, "\u22cf", "\\curlywedge", true); +defineSymbol(math, ams, bin, "\u22ce", "\\curlyvee", true); +defineSymbol(math, ams, bin, "\u229d", "\\circleddash", true); +defineSymbol(math, ams, bin, "\u229b", "\\circledast", true); +defineSymbol(math, ams, bin, "\u22c5", "\\centerdot"); +defineSymbol(math, ams, bin, "\u22ba", "\\intercal", true); +defineSymbol(math, ams, bin, "\u22d2", "\\doublecap"); +defineSymbol(math, ams, bin, "\u22d3", "\\doublecup"); +defineSymbol(math, ams, bin, "\u22a0", "\\boxtimes", true); // AMS Arrows +// Note: unicode-math maps \u21e2 to their own function \rightdasharrow. +// We'll map it to AMS function \dashrightarrow. It produces the same atom. + +defineSymbol(math, ams, rel, "\u21e2", "\\dashrightarrow", true); // unicode-math maps \u21e0 to \leftdasharrow. We'll use the AMS synonym. + +defineSymbol(math, ams, rel, "\u21e0", "\\dashleftarrow", true); +defineSymbol(math, ams, rel, "\u21c7", "\\leftleftarrows", true); +defineSymbol(math, ams, rel, "\u21c6", "\\leftrightarrows", true); +defineSymbol(math, ams, rel, "\u21da", "\\Lleftarrow", true); +defineSymbol(math, ams, rel, "\u219e", "\\twoheadleftarrow", true); +defineSymbol(math, ams, rel, "\u21a2", "\\leftarrowtail", true); +defineSymbol(math, ams, rel, "\u21ab", "\\looparrowleft", true); +defineSymbol(math, ams, rel, "\u21cb", "\\leftrightharpoons", true); +defineSymbol(math, ams, rel, "\u21b6", "\\curvearrowleft", true); // unicode-math maps \u21ba to \acwopencirclearrow. We'll use the AMS synonym. + +defineSymbol(math, ams, rel, "\u21ba", "\\circlearrowleft", true); +defineSymbol(math, ams, rel, "\u21b0", "\\Lsh", true); +defineSymbol(math, ams, rel, "\u21c8", "\\upuparrows", true); +defineSymbol(math, ams, rel, "\u21bf", "\\upharpoonleft", true); +defineSymbol(math, ams, rel, "\u21c3", "\\downharpoonleft", true); +defineSymbol(math, main, rel, "\u22b6", "\\origof", true); // not in font + +defineSymbol(math, main, rel, "\u22b7", "\\imageof", true); // not in font + +defineSymbol(math, ams, rel, "\u22b8", "\\multimap", true); +defineSymbol(math, ams, rel, "\u21ad", "\\leftrightsquigarrow", true); +defineSymbol(math, ams, rel, "\u21c9", "\\rightrightarrows", true); +defineSymbol(math, ams, rel, "\u21c4", "\\rightleftarrows", true); +defineSymbol(math, ams, rel, "\u21a0", "\\twoheadrightarrow", true); +defineSymbol(math, ams, rel, "\u21a3", "\\rightarrowtail", true); +defineSymbol(math, ams, rel, "\u21ac", "\\looparrowright", true); +defineSymbol(math, ams, rel, "\u21b7", "\\curvearrowright", true); // unicode-math maps \u21bb to \cwopencirclearrow. We'll use the AMS synonym. + +defineSymbol(math, ams, rel, "\u21bb", "\\circlearrowright", true); +defineSymbol(math, ams, rel, "\u21b1", "\\Rsh", true); +defineSymbol(math, ams, rel, "\u21ca", "\\downdownarrows", true); +defineSymbol(math, ams, rel, "\u21be", "\\upharpoonright", true); +defineSymbol(math, ams, rel, "\u21c2", "\\downharpoonright", true); +defineSymbol(math, ams, rel, "\u21dd", "\\rightsquigarrow", true); +defineSymbol(math, ams, rel, "\u21dd", "\\leadsto"); +defineSymbol(math, ams, rel, "\u21db", "\\Rrightarrow", true); +defineSymbol(math, ams, rel, "\u21be", "\\restriction"); +defineSymbol(math, main, textord, "\u2018", "`"); +defineSymbol(math, main, textord, "$", "\\$"); +defineSymbol(text, main, textord, "$", "\\$"); +defineSymbol(text, main, textord, "$", "\\textdollar"); +defineSymbol(math, main, textord, "%", "\\%"); +defineSymbol(text, main, textord, "%", "\\%"); +defineSymbol(math, main, textord, "_", "\\_"); +defineSymbol(text, main, textord, "_", "\\_"); +defineSymbol(text, main, textord, "_", "\\textunderscore"); +defineSymbol(math, main, textord, "\u2220", "\\angle", true); +defineSymbol(math, main, textord, "\u221e", "\\infty", true); +defineSymbol(math, main, textord, "\u2032", "\\prime"); +defineSymbol(math, main, textord, "\u25b3", "\\triangle"); +defineSymbol(math, main, textord, "\u0393", "\\Gamma", true); +defineSymbol(math, main, textord, "\u0394", "\\Delta", true); +defineSymbol(math, main, textord, "\u0398", "\\Theta", true); +defineSymbol(math, main, textord, "\u039b", "\\Lambda", true); +defineSymbol(math, main, textord, "\u039e", "\\Xi", true); +defineSymbol(math, main, textord, "\u03a0", "\\Pi", true); +defineSymbol(math, main, textord, "\u03a3", "\\Sigma", true); +defineSymbol(math, main, textord, "\u03a5", "\\Upsilon", true); +defineSymbol(math, main, textord, "\u03a6", "\\Phi", true); +defineSymbol(math, main, textord, "\u03a8", "\\Psi", true); +defineSymbol(math, main, textord, "\u03a9", "\\Omega", true); +defineSymbol(math, main, textord, "A", "\u0391"); +defineSymbol(math, main, textord, "B", "\u0392"); +defineSymbol(math, main, textord, "E", "\u0395"); +defineSymbol(math, main, textord, "Z", "\u0396"); +defineSymbol(math, main, textord, "H", "\u0397"); +defineSymbol(math, main, textord, "I", "\u0399"); +defineSymbol(math, main, textord, "K", "\u039A"); +defineSymbol(math, main, textord, "M", "\u039C"); +defineSymbol(math, main, textord, "N", "\u039D"); +defineSymbol(math, main, textord, "O", "\u039F"); +defineSymbol(math, main, textord, "P", "\u03A1"); +defineSymbol(math, main, textord, "T", "\u03A4"); +defineSymbol(math, main, textord, "X", "\u03A7"); +defineSymbol(math, main, textord, "\u00ac", "\\neg", true); +defineSymbol(math, main, textord, "\u00ac", "\\lnot"); +defineSymbol(math, main, textord, "\u22a4", "\\top"); +defineSymbol(math, main, textord, "\u22a5", "\\bot"); +defineSymbol(math, main, textord, "\u2205", "\\emptyset"); +defineSymbol(math, ams, textord, "\u2205", "\\varnothing"); +defineSymbol(math, main, mathord, "\u03b1", "\\alpha", true); +defineSymbol(math, main, mathord, "\u03b2", "\\beta", true); +defineSymbol(math, main, mathord, "\u03b3", "\\gamma", true); +defineSymbol(math, main, mathord, "\u03b4", "\\delta", true); +defineSymbol(math, main, mathord, "\u03f5", "\\epsilon", true); +defineSymbol(math, main, mathord, "\u03b6", "\\zeta", true); +defineSymbol(math, main, mathord, "\u03b7", "\\eta", true); +defineSymbol(math, main, mathord, "\u03b8", "\\theta", true); +defineSymbol(math, main, mathord, "\u03b9", "\\iota", true); +defineSymbol(math, main, mathord, "\u03ba", "\\kappa", true); +defineSymbol(math, main, mathord, "\u03bb", "\\lambda", true); +defineSymbol(math, main, mathord, "\u03bc", "\\mu", true); +defineSymbol(math, main, mathord, "\u03bd", "\\nu", true); +defineSymbol(math, main, mathord, "\u03be", "\\xi", true); +defineSymbol(math, main, mathord, "\u03bf", "\\omicron", true); +defineSymbol(math, main, mathord, "\u03c0", "\\pi", true); +defineSymbol(math, main, mathord, "\u03c1", "\\rho", true); +defineSymbol(math, main, mathord, "\u03c3", "\\sigma", true); +defineSymbol(math, main, mathord, "\u03c4", "\\tau", true); +defineSymbol(math, main, mathord, "\u03c5", "\\upsilon", true); +defineSymbol(math, main, mathord, "\u03d5", "\\phi", true); +defineSymbol(math, main, mathord, "\u03c7", "\\chi", true); +defineSymbol(math, main, mathord, "\u03c8", "\\psi", true); +defineSymbol(math, main, mathord, "\u03c9", "\\omega", true); +defineSymbol(math, main, mathord, "\u03b5", "\\varepsilon", true); +defineSymbol(math, main, mathord, "\u03d1", "\\vartheta", true); +defineSymbol(math, main, mathord, "\u03d6", "\\varpi", true); +defineSymbol(math, main, mathord, "\u03f1", "\\varrho", true); +defineSymbol(math, main, mathord, "\u03c2", "\\varsigma", true); +defineSymbol(math, main, mathord, "\u03c6", "\\varphi", true); +defineSymbol(math, main, bin, "\u2217", "*", true); +defineSymbol(math, main, bin, "+", "+"); +defineSymbol(math, main, bin, "\u2212", "-", true); +defineSymbol(math, main, bin, "\u22c5", "\\cdot", true); +defineSymbol(math, main, bin, "\u2218", "\\circ", true); +defineSymbol(math, main, bin, "\u00f7", "\\div", true); +defineSymbol(math, main, bin, "\u00b1", "\\pm", true); +defineSymbol(math, main, bin, "\u00d7", "\\times", true); +defineSymbol(math, main, bin, "\u2229", "\\cap", true); +defineSymbol(math, main, bin, "\u222a", "\\cup", true); +defineSymbol(math, main, bin, "\u2216", "\\setminus", true); +defineSymbol(math, main, bin, "\u2227", "\\land"); +defineSymbol(math, main, bin, "\u2228", "\\lor"); +defineSymbol(math, main, bin, "\u2227", "\\wedge", true); +defineSymbol(math, main, bin, "\u2228", "\\vee", true); +defineSymbol(math, main, textord, "\u221a", "\\surd"); +defineSymbol(math, main, open, "\u27e8", "\\langle", true); +defineSymbol(math, main, open, "\u2223", "\\lvert"); +defineSymbol(math, main, open, "\u2225", "\\lVert"); +defineSymbol(math, main, close, "?", "?"); +defineSymbol(math, main, close, "!", "!"); +defineSymbol(math, main, close, "\u27e9", "\\rangle", true); +defineSymbol(math, main, close, "\u2223", "\\rvert"); +defineSymbol(math, main, close, "\u2225", "\\rVert"); +defineSymbol(math, main, rel, "=", "="); +defineSymbol(math, main, rel, ":", ":"); +defineSymbol(math, main, rel, "\u2248", "\\approx", true); +defineSymbol(math, main, rel, "\u2245", "\\cong", true); +defineSymbol(math, main, rel, "\u2265", "\\ge"); +defineSymbol(math, main, rel, "\u2265", "\\geq", true); +defineSymbol(math, main, rel, "\u2190", "\\gets"); +defineSymbol(math, main, rel, ">", "\\gt", true); +defineSymbol(math, main, rel, "\u2208", "\\in", true); +defineSymbol(math, main, rel, "\ue020", "\\@not"); +defineSymbol(math, main, rel, "\u2282", "\\subset", true); +defineSymbol(math, main, rel, "\u2283", "\\supset", true); +defineSymbol(math, main, rel, "\u2286", "\\subseteq", true); +defineSymbol(math, main, rel, "\u2287", "\\supseteq", true); +defineSymbol(math, ams, rel, "\u2288", "\\nsubseteq", true); +defineSymbol(math, ams, rel, "\u2289", "\\nsupseteq", true); +defineSymbol(math, main, rel, "\u22a8", "\\models"); +defineSymbol(math, main, rel, "\u2190", "\\leftarrow", true); +defineSymbol(math, main, rel, "\u2264", "\\le"); +defineSymbol(math, main, rel, "\u2264", "\\leq", true); +defineSymbol(math, main, rel, "<", "\\lt", true); +defineSymbol(math, main, rel, "\u2192", "\\rightarrow", true); +defineSymbol(math, main, rel, "\u2192", "\\to"); +defineSymbol(math, ams, rel, "\u2271", "\\ngeq", true); +defineSymbol(math, ams, rel, "\u2270", "\\nleq", true); +defineSymbol(math, main, spacing, "\u00a0", "\\ "); +defineSymbol(math, main, spacing, "\u00a0", "\\space"); // Ref: LaTeX Source 2e: \DeclareRobustCommand{\nobreakspace}{% + +defineSymbol(math, main, spacing, "\u00a0", "\\nobreakspace"); +defineSymbol(text, main, spacing, "\u00a0", "\\ "); +defineSymbol(text, main, spacing, "\u00a0", " "); +defineSymbol(text, main, spacing, "\u00a0", "\\space"); +defineSymbol(text, main, spacing, "\u00a0", "\\nobreakspace"); +defineSymbol(math, main, spacing, null, "\\nobreak"); +defineSymbol(math, main, spacing, null, "\\allowbreak"); +defineSymbol(math, main, punct, ",", ","); +defineSymbol(math, main, punct, ";", ";"); +defineSymbol(math, ams, bin, "\u22bc", "\\barwedge", true); +defineSymbol(math, ams, bin, "\u22bb", "\\veebar", true); +defineSymbol(math, main, bin, "\u2299", "\\odot", true); +defineSymbol(math, main, bin, "\u2295", "\\oplus", true); +defineSymbol(math, main, bin, "\u2297", "\\otimes", true); +defineSymbol(math, main, textord, "\u2202", "\\partial", true); +defineSymbol(math, main, bin, "\u2298", "\\oslash", true); +defineSymbol(math, ams, bin, "\u229a", "\\circledcirc", true); +defineSymbol(math, ams, bin, "\u22a1", "\\boxdot", true); +defineSymbol(math, main, bin, "\u25b3", "\\bigtriangleup"); +defineSymbol(math, main, bin, "\u25bd", "\\bigtriangledown"); +defineSymbol(math, main, bin, "\u2020", "\\dagger"); +defineSymbol(math, main, bin, "\u22c4", "\\diamond"); +defineSymbol(math, main, bin, "\u22c6", "\\star"); +defineSymbol(math, main, bin, "\u25c3", "\\triangleleft"); +defineSymbol(math, main, bin, "\u25b9", "\\triangleright"); +defineSymbol(math, main, open, "{", "\\{"); +defineSymbol(text, main, textord, "{", "\\{"); +defineSymbol(text, main, textord, "{", "\\textbraceleft"); +defineSymbol(math, main, close, "}", "\\}"); +defineSymbol(text, main, textord, "}", "\\}"); +defineSymbol(text, main, textord, "}", "\\textbraceright"); +defineSymbol(math, main, open, "{", "\\lbrace"); +defineSymbol(math, main, close, "}", "\\rbrace"); +defineSymbol(math, main, open, "[", "\\lbrack", true); +defineSymbol(text, main, textord, "[", "\\lbrack", true); +defineSymbol(math, main, close, "]", "\\rbrack", true); +defineSymbol(text, main, textord, "]", "\\rbrack", true); +defineSymbol(math, main, open, "(", "\\lparen", true); +defineSymbol(math, main, close, ")", "\\rparen", true); +defineSymbol(text, main, textord, "<", "\\textless", true); // in T1 fontenc + +defineSymbol(text, main, textord, ">", "\\textgreater", true); // in T1 fontenc + +defineSymbol(math, main, open, "\u230a", "\\lfloor", true); +defineSymbol(math, main, close, "\u230b", "\\rfloor", true); +defineSymbol(math, main, open, "\u2308", "\\lceil", true); +defineSymbol(math, main, close, "\u2309", "\\rceil", true); +defineSymbol(math, main, textord, "\\", "\\backslash"); +defineSymbol(math, main, textord, "\u2223", "|"); +defineSymbol(math, main, textord, "\u2223", "\\vert"); +defineSymbol(text, main, textord, "|", "\\textbar", true); // in T1 fontenc + +defineSymbol(math, main, textord, "\u2225", "\\|"); +defineSymbol(math, main, textord, "\u2225", "\\Vert"); +defineSymbol(text, main, textord, "\u2225", "\\textbardbl"); +defineSymbol(text, main, textord, "~", "\\textasciitilde"); +defineSymbol(text, main, textord, "\\", "\\textbackslash"); +defineSymbol(text, main, textord, "^", "\\textasciicircum"); +defineSymbol(math, main, rel, "\u2191", "\\uparrow", true); +defineSymbol(math, main, rel, "\u21d1", "\\Uparrow", true); +defineSymbol(math, main, rel, "\u2193", "\\downarrow", true); +defineSymbol(math, main, rel, "\u21d3", "\\Downarrow", true); +defineSymbol(math, main, rel, "\u2195", "\\updownarrow", true); +defineSymbol(math, main, rel, "\u21d5", "\\Updownarrow", true); +defineSymbol(math, main, op, "\u2210", "\\coprod"); +defineSymbol(math, main, op, "\u22c1", "\\bigvee"); +defineSymbol(math, main, op, "\u22c0", "\\bigwedge"); +defineSymbol(math, main, op, "\u2a04", "\\biguplus"); +defineSymbol(math, main, op, "\u22c2", "\\bigcap"); +defineSymbol(math, main, op, "\u22c3", "\\bigcup"); +defineSymbol(math, main, op, "\u222b", "\\int"); +defineSymbol(math, main, op, "\u222b", "\\intop"); +defineSymbol(math, main, op, "\u222c", "\\iint"); +defineSymbol(math, main, op, "\u222d", "\\iiint"); +defineSymbol(math, main, op, "\u220f", "\\prod"); +defineSymbol(math, main, op, "\u2211", "\\sum"); +defineSymbol(math, main, op, "\u2a02", "\\bigotimes"); +defineSymbol(math, main, op, "\u2a01", "\\bigoplus"); +defineSymbol(math, main, op, "\u2a00", "\\bigodot"); +defineSymbol(math, main, op, "\u222e", "\\oint"); +defineSymbol(math, main, op, "\u222f", "\\oiint"); +defineSymbol(math, main, op, "\u2230", "\\oiiint"); +defineSymbol(math, main, op, "\u2a06", "\\bigsqcup"); +defineSymbol(math, main, op, "\u222b", "\\smallint"); +defineSymbol(text, main, inner, "\u2026", "\\textellipsis"); +defineSymbol(math, main, inner, "\u2026", "\\mathellipsis"); +defineSymbol(text, main, inner, "\u2026", "\\ldots", true); +defineSymbol(math, main, inner, "\u2026", "\\ldots", true); +defineSymbol(math, main, inner, "\u22ef", "\\@cdots", true); +defineSymbol(math, main, inner, "\u22f1", "\\ddots", true); +defineSymbol(math, main, textord, "\u22ee", "\\varvdots"); // \vdots is a macro + +defineSymbol(math, main, accent, "\u02ca", "\\acute"); +defineSymbol(math, main, accent, "\u02cb", "\\grave"); +defineSymbol(math, main, accent, "\u00a8", "\\ddot"); +defineSymbol(math, main, accent, "\u007e", "\\tilde"); +defineSymbol(math, main, accent, "\u02c9", "\\bar"); +defineSymbol(math, main, accent, "\u02d8", "\\breve"); +defineSymbol(math, main, accent, "\u02c7", "\\check"); +defineSymbol(math, main, accent, "\u005e", "\\hat"); +defineSymbol(math, main, accent, "\u20d7", "\\vec"); +defineSymbol(math, main, accent, "\u02d9", "\\dot"); +defineSymbol(math, main, accent, "\u02da", "\\mathring"); // \imath and \jmath should be invariant to \mathrm, \mathbf, etc., so use PUA + +defineSymbol(math, main, mathord, "\ue131", "\\@imath"); +defineSymbol(math, main, mathord, "\ue237", "\\@jmath"); +defineSymbol(math, main, textord, "\u0131", "\u0131"); +defineSymbol(math, main, textord, "\u0237", "\u0237"); +defineSymbol(text, main, textord, "\u0131", "\\i", true); +defineSymbol(text, main, textord, "\u0237", "\\j", true); +defineSymbol(text, main, textord, "\u00df", "\\ss", true); +defineSymbol(text, main, textord, "\u00e6", "\\ae", true); +defineSymbol(text, main, textord, "\u0153", "\\oe", true); +defineSymbol(text, main, textord, "\u00f8", "\\o", true); +defineSymbol(text, main, textord, "\u00c6", "\\AE", true); +defineSymbol(text, main, textord, "\u0152", "\\OE", true); +defineSymbol(text, main, textord, "\u00d8", "\\O", true); +defineSymbol(text, main, accent, "\u02ca", "\\'"); // acute + +defineSymbol(text, main, accent, "\u02cb", "\\`"); // grave + +defineSymbol(text, main, accent, "\u02c6", "\\^"); // circumflex + +defineSymbol(text, main, accent, "\u02dc", "\\~"); // tilde + +defineSymbol(text, main, accent, "\u02c9", "\\="); // macron + +defineSymbol(text, main, accent, "\u02d8", "\\u"); // breve + +defineSymbol(text, main, accent, "\u02d9", "\\."); // dot above + +defineSymbol(text, main, accent, "\u00b8", "\\c"); // cedilla + +defineSymbol(text, main, accent, "\u02da", "\\r"); // ring above + +defineSymbol(text, main, accent, "\u02c7", "\\v"); // caron + +defineSymbol(text, main, accent, "\u00a8", '\\"'); // diaresis + +defineSymbol(text, main, accent, "\u02dd", "\\H"); // double acute + +defineSymbol(text, main, accent, "\u25ef", "\\textcircled"); // \bigcirc glyph +// These ligatures are detected and created in Parser.js's `formLigatures`. + +var ligatures = { + "--": true, + "---": true, + "``": true, + "''": true +}; +defineSymbol(text, main, textord, "\u2013", "--", true); +defineSymbol(text, main, textord, "\u2013", "\\textendash"); +defineSymbol(text, main, textord, "\u2014", "---", true); +defineSymbol(text, main, textord, "\u2014", "\\textemdash"); +defineSymbol(text, main, textord, "\u2018", "`", true); +defineSymbol(text, main, textord, "\u2018", "\\textquoteleft"); +defineSymbol(text, main, textord, "\u2019", "'", true); +defineSymbol(text, main, textord, "\u2019", "\\textquoteright"); +defineSymbol(text, main, textord, "\u201c", "``", true); +defineSymbol(text, main, textord, "\u201c", "\\textquotedblleft"); +defineSymbol(text, main, textord, "\u201d", "''", true); +defineSymbol(text, main, textord, "\u201d", "\\textquotedblright"); // \degree from gensymb package + +defineSymbol(math, main, textord, "\u00b0", "\\degree", true); +defineSymbol(text, main, textord, "\u00b0", "\\degree"); // \textdegree from inputenc package + +defineSymbol(text, main, textord, "\u00b0", "\\textdegree", true); // TODO: In LaTeX, \pounds can generate a different character in text and math +// mode, but among our fonts, only Main-Regular defines this character "163". + +defineSymbol(math, main, textord, "\u00a3", "\\pounds"); +defineSymbol(math, main, textord, "\u00a3", "\\mathsterling", true); +defineSymbol(text, main, textord, "\u00a3", "\\pounds"); +defineSymbol(text, main, textord, "\u00a3", "\\textsterling", true); +defineSymbol(math, ams, textord, "\u2720", "\\maltese"); +defineSymbol(text, ams, textord, "\u2720", "\\maltese"); // There are lots of symbols which are the same, so we add them in afterwards. +// All of these are textords in math mode + +var mathTextSymbols = "0123456789/@.\""; + +for (var i = 0; i < mathTextSymbols.length; i++) { + var ch = mathTextSymbols.charAt(i); + defineSymbol(math, main, textord, ch, ch); +} // All of these are textords in text mode + + +var textSymbols = "0123456789!@*()-=+\";:?/.,"; + +for (var _i = 0; _i < textSymbols.length; _i++) { + var _ch = textSymbols.charAt(_i); + + defineSymbol(text, main, textord, _ch, _ch); +} // All of these are textords in text mode, and mathords in math mode + + +var letters = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz"; + +for (var _i2 = 0; _i2 < letters.length; _i2++) { + var _ch2 = letters.charAt(_i2); + + defineSymbol(math, main, mathord, _ch2, _ch2); + defineSymbol(text, main, textord, _ch2, _ch2); +} // Blackboard bold and script letters in Unicode range + + +defineSymbol(math, ams, textord, "C", "\u2102"); // blackboard bold + +defineSymbol(text, ams, textord, "C", "\u2102"); +defineSymbol(math, ams, textord, "H", "\u210D"); +defineSymbol(text, ams, textord, "H", "\u210D"); +defineSymbol(math, ams, textord, "N", "\u2115"); +defineSymbol(text, ams, textord, "N", "\u2115"); +defineSymbol(math, ams, textord, "P", "\u2119"); +defineSymbol(text, ams, textord, "P", "\u2119"); +defineSymbol(math, ams, textord, "Q", "\u211A"); +defineSymbol(text, ams, textord, "Q", "\u211A"); +defineSymbol(math, ams, textord, "R", "\u211D"); +defineSymbol(text, ams, textord, "R", "\u211D"); +defineSymbol(math, ams, textord, "Z", "\u2124"); +defineSymbol(text, ams, textord, "Z", "\u2124"); +defineSymbol(math, main, mathord, "h", "\u210E"); // italic h, Planck constant + +defineSymbol(text, main, mathord, "h", "\u210E"); // The next loop loads wide (surrogate pair) characters. +// We support some letters in the Unicode range U+1D400 to U+1D7FF, +// Mathematical Alphanumeric Symbols. +// Some editors do not deal well with wide characters. So don't write the +// string into this file. Instead, create the string from the surrogate pair. + +var wideChar = ""; + +for (var _i3 = 0; _i3 < letters.length; _i3++) { + var _ch3 = letters.charAt(_i3); // The hex numbers in the next line are a surrogate pair. + // 0xD835 is the high surrogate for all letters in the range we support. + // 0xDC00 is the low surrogate for bold A. + + + wideChar = String.fromCharCode(0xD835, 0xDC00 + _i3); // A-Z a-z bold + + defineSymbol(math, main, mathord, _ch3, wideChar); + defineSymbol(text, main, textord, _ch3, wideChar); + wideChar = String.fromCharCode(0xD835, 0xDC34 + _i3); // A-Z a-z italic + + defineSymbol(math, main, mathord, _ch3, wideChar); + defineSymbol(text, main, textord, _ch3, wideChar); + wideChar = String.fromCharCode(0xD835, 0xDC68 + _i3); // A-Z a-z bold italic + + defineSymbol(math, main, mathord, _ch3, wideChar); + defineSymbol(text, main, textord, _ch3, wideChar); + wideChar = String.fromCharCode(0xD835, 0xDD04 + _i3); // A-Z a-z Fractur + + defineSymbol(math, main, mathord, _ch3, wideChar); + defineSymbol(text, main, textord, _ch3, wideChar); + wideChar = String.fromCharCode(0xD835, 0xDDA0 + _i3); // A-Z a-z sans-serif + + defineSymbol(math, main, mathord, _ch3, wideChar); + defineSymbol(text, main, textord, _ch3, wideChar); + wideChar = String.fromCharCode(0xD835, 0xDDD4 + _i3); // A-Z a-z sans bold + + defineSymbol(math, main, mathord, _ch3, wideChar); + defineSymbol(text, main, textord, _ch3, wideChar); + wideChar = String.fromCharCode(0xD835, 0xDE08 + _i3); // A-Z a-z sans italic + + defineSymbol(math, main, mathord, _ch3, wideChar); + defineSymbol(text, main, textord, _ch3, wideChar); + wideChar = String.fromCharCode(0xD835, 0xDE70 + _i3); // A-Z a-z monospace + + defineSymbol(math, main, mathord, _ch3, wideChar); + defineSymbol(text, main, textord, _ch3, wideChar); + + if (_i3 < 26) { + // KaTeX fonts have only capital letters for blackboard bold and script. + // See exception for k below. + wideChar = String.fromCharCode(0xD835, 0xDD38 + _i3); // A-Z double struck + + defineSymbol(math, main, mathord, _ch3, wideChar); + defineSymbol(text, main, textord, _ch3, wideChar); + wideChar = String.fromCharCode(0xD835, 0xDC9C + _i3); // A-Z script + + defineSymbol(math, main, mathord, _ch3, wideChar); + defineSymbol(text, main, textord, _ch3, wideChar); + } // TODO: Add bold script when it is supported by a KaTeX font. + +} // "k" is the only double struck lower case letter in the KaTeX fonts. + + +wideChar = String.fromCharCode(0xD835, 0xDD5C); // k double struck + +defineSymbol(math, main, mathord, "k", wideChar); +defineSymbol(text, main, textord, "k", wideChar); // Next, some wide character numerals + +for (var _i4 = 0; _i4 < 10; _i4++) { + var _ch4 = _i4.toString(); + + wideChar = String.fromCharCode(0xD835, 0xDFCE + _i4); // 0-9 bold + + defineSymbol(math, main, mathord, _ch4, wideChar); + defineSymbol(text, main, textord, _ch4, wideChar); + wideChar = String.fromCharCode(0xD835, 0xDFE2 + _i4); // 0-9 sans serif + + defineSymbol(math, main, mathord, _ch4, wideChar); + defineSymbol(text, main, textord, _ch4, wideChar); + wideChar = String.fromCharCode(0xD835, 0xDFEC + _i4); // 0-9 bold sans + + defineSymbol(math, main, mathord, _ch4, wideChar); + defineSymbol(text, main, textord, _ch4, wideChar); + wideChar = String.fromCharCode(0xD835, 0xDFF6 + _i4); // 0-9 monospace + + defineSymbol(math, main, mathord, _ch4, wideChar); + defineSymbol(text, main, textord, _ch4, wideChar); +} // We add these Latin-1 letters as symbols for backwards-compatibility, +// but they are not actually in the font, nor are they supported by the +// Unicode accent mechanism, so they fall back to Times font and look ugly. +// TODO(edemaine): Fix this. + + +var extraLatin = "\u00d0\u00de\u00fe"; + +for (var _i5 = 0; _i5 < extraLatin.length; _i5++) { + var _ch5 = extraLatin.charAt(_i5); + + defineSymbol(math, main, mathord, _ch5, _ch5); + defineSymbol(text, main, textord, _ch5, _ch5); +} + +/** + * This file provides support for Unicode range U+1D400 to U+1D7FF, + * Mathematical Alphanumeric Symbols. + * + * Function wideCharacterFont takes a wide character as input and returns + * the font information necessary to render it properly. + */ +/** + * Data below is from https://www.unicode.org/charts/PDF/U1D400.pdf + * That document sorts characters into groups by font type, say bold or italic. + * + * In the arrays below, each subarray consists three elements: + * * The CSS class of that group when in math mode. + * * The CSS class of that group when in text mode. + * * The font name, so that KaTeX can get font metrics. + */ + +var wideLatinLetterData = [["mathbf", "textbf", "Main-Bold"], // A-Z bold upright +["mathbf", "textbf", "Main-Bold"], // a-z bold upright +["mathnormal", "textit", "Math-Italic"], // A-Z italic +["mathnormal", "textit", "Math-Italic"], // a-z italic +["boldsymbol", "boldsymbol", "Main-BoldItalic"], // A-Z bold italic +["boldsymbol", "boldsymbol", "Main-BoldItalic"], // a-z bold italic +// Map fancy A-Z letters to script, not calligraphic. +// This aligns with unicode-math and math fonts (except Cambria Math). +["mathscr", "textscr", "Script-Regular"], // A-Z script +["", "", ""], // a-z script. No font +["", "", ""], // A-Z bold script. No font +["", "", ""], // a-z bold script. No font +["mathfrak", "textfrak", "Fraktur-Regular"], // A-Z Fraktur +["mathfrak", "textfrak", "Fraktur-Regular"], // a-z Fraktur +["mathbb", "textbb", "AMS-Regular"], // A-Z double-struck +["mathbb", "textbb", "AMS-Regular"], // k double-struck +["", "", ""], // A-Z bold Fraktur No font metrics +["", "", ""], // a-z bold Fraktur. No font. +["mathsf", "textsf", "SansSerif-Regular"], // A-Z sans-serif +["mathsf", "textsf", "SansSerif-Regular"], // a-z sans-serif +["mathboldsf", "textboldsf", "SansSerif-Bold"], // A-Z bold sans-serif +["mathboldsf", "textboldsf", "SansSerif-Bold"], // a-z bold sans-serif +["mathitsf", "textitsf", "SansSerif-Italic"], // A-Z italic sans-serif +["mathitsf", "textitsf", "SansSerif-Italic"], // a-z italic sans-serif +["", "", ""], // A-Z bold italic sans. No font +["", "", ""], // a-z bold italic sans. No font +["mathtt", "texttt", "Typewriter-Regular"], // A-Z monospace +["mathtt", "texttt", "Typewriter-Regular"] // a-z monospace +]; +var wideNumeralData = [["mathbf", "textbf", "Main-Bold"], // 0-9 bold +["", "", ""], // 0-9 double-struck. No KaTeX font. +["mathsf", "textsf", "SansSerif-Regular"], // 0-9 sans-serif +["mathboldsf", "textboldsf", "SansSerif-Bold"], // 0-9 bold sans-serif +["mathtt", "texttt", "Typewriter-Regular"] // 0-9 monospace +]; +var wideCharacterFont = function wideCharacterFont(wideChar, mode) { + // IE doesn't support codePointAt(). So work with the surrogate pair. + var H = wideChar.charCodeAt(0); // high surrogate + + var L = wideChar.charCodeAt(1); // low surrogate + + var codePoint = (H - 0xD800) * 0x400 + (L - 0xDC00) + 0x10000; + var j = mode === "math" ? 0 : 1; // column index for CSS class. + + if (0x1D400 <= codePoint && codePoint < 0x1D6A4) { + // wideLatinLetterData contains exactly 26 chars on each row. + // So we can calculate the relevant row. No traverse necessary. + var i = Math.floor((codePoint - 0x1D400) / 26); + return [wideLatinLetterData[i][2], wideLatinLetterData[i][j]]; + } else if (0x1D7CE <= codePoint && codePoint <= 0x1D7FF) { + // Numerals, ten per row. + var _i = Math.floor((codePoint - 0x1D7CE) / 10); + + return [wideNumeralData[_i][2], wideNumeralData[_i][j]]; + } else if (codePoint === 0x1D6A5 || codePoint === 0x1D6A6) { + // dotless i or j + return [wideLatinLetterData[0][2], wideLatinLetterData[0][j]]; + } else if (0x1D6A6 < codePoint && codePoint < 0x1D7CE) { + // Greek letters. Not supported, yet. + return ["", ""]; + } else { + // We don't support any wide characters outside 1D400–1D7FF. + throw new ParseError("Unsupported character: " + wideChar); + } +}; + +/* eslint no-console:0 */ + +/** + * Looks up the given symbol in fontMetrics, after applying any symbol + * replacements defined in symbol.js + */ +var lookupSymbol = function lookupSymbol(value, // TODO(#963): Use a union type for this. +fontName, mode) { + // Replace the value with its replaced value from symbol.js + if (symbols[mode][value] && symbols[mode][value].replace) { + value = symbols[mode][value].replace; + } + + return { + value: value, + metrics: getCharacterMetrics(value, fontName, mode) + }; +}; +/** + * Makes a symbolNode after translation via the list of symbols in symbols.js. + * Correctly pulls out metrics for the character, and optionally takes a list of + * classes to be attached to the node. + * + * TODO: make argument order closer to makeSpan + * TODO: add a separate argument for math class (e.g. `mop`, `mbin`), which + * should if present come first in `classes`. + * TODO(#953): Make `options` mandatory and always pass it in. + */ + + +var makeSymbol = function makeSymbol(value, fontName, mode, options, classes) { + var lookup = lookupSymbol(value, fontName, mode); + var metrics = lookup.metrics; + value = lookup.value; + var symbolNode; + + if (metrics) { + var italic = metrics.italic; + + if (mode === "text" || options && options.font === "mathit") { + italic = 0; + } + + symbolNode = new SymbolNode(value, metrics.height, metrics.depth, italic, metrics.skew, metrics.width, classes); + } else { + // TODO(emily): Figure out a good way to only print this in development + typeof console !== "undefined" && console.warn("No character metrics " + ("for '" + value + "' in style '" + fontName + "' and mode '" + mode + "'")); + symbolNode = new SymbolNode(value, 0, 0, 0, 0, 0, classes); + } + + if (options) { + symbolNode.maxFontSize = options.sizeMultiplier; + + if (options.style.isTight()) { + symbolNode.classes.push("mtight"); + } + + var color = options.getColor(); + + if (color) { + symbolNode.style.color = color; + } + } + + return symbolNode; +}; +/** + * Makes a symbol in Main-Regular or AMS-Regular. + * Used for rel, bin, open, close, inner, and punct. + */ + + +var mathsym = function mathsym(value, mode, options, classes) { + if (classes === void 0) { + classes = []; + } + + // Decide what font to render the symbol in by its entry in the symbols + // table. + // Have a special case for when the value = \ because the \ is used as a + // textord in unsupported command errors but cannot be parsed as a regular + // text ordinal and is therefore not present as a symbol in the symbols + // table for text, as well as a special case for boldsymbol because it + // can be used for bold + and - + if (options.font === "boldsymbol" && lookupSymbol(value, "Main-Bold", mode).metrics) { + return makeSymbol(value, "Main-Bold", mode, options, classes.concat(["mathbf"])); + } else if (value === "\\" || symbols[mode][value].font === "main") { + return makeSymbol(value, "Main-Regular", mode, options, classes); + } else { + return makeSymbol(value, "AMS-Regular", mode, options, classes.concat(["amsrm"])); + } +}; +/** + * Determines which of the two font names (Main-Bold and Math-BoldItalic) and + * corresponding style tags (mathbf or boldsymbol) to use for font "boldsymbol", + * depending on the symbol. Use this function instead of fontMap for font + * "boldsymbol". + */ + + +var boldsymbol = function boldsymbol(value, mode, options, classes, type) { + if (type !== "textord" && lookupSymbol(value, "Math-BoldItalic", mode).metrics) { + return { + fontName: "Math-BoldItalic", + fontClass: "boldsymbol" + }; + } else { + // Some glyphs do not exist in Math-BoldItalic so we need to use + // Main-Bold instead. + return { + fontName: "Main-Bold", + fontClass: "mathbf" + }; + } +}; +/** + * Makes either a mathord or textord in the correct font and color. + */ + + +var makeOrd = function makeOrd(group, options, type) { + var mode = group.mode; + var text = group.text; + var classes = ["mord"]; // Math mode or Old font (i.e. \rm) + + var isFont = mode === "math" || mode === "text" && options.font; + var fontOrFamily = isFont ? options.font : options.fontFamily; + + if (text.charCodeAt(0) === 0xD835) { + // surrogate pairs get special treatment + var [wideFontName, wideFontClass] = wideCharacterFont(text, mode); + return makeSymbol(text, wideFontName, mode, options, classes.concat(wideFontClass)); + } else if (fontOrFamily) { + var fontName; + var fontClasses; + + if (fontOrFamily === "boldsymbol") { + var fontData = boldsymbol(text, mode, options, classes, type); + fontName = fontData.fontName; + fontClasses = [fontData.fontClass]; + } else if (isFont) { + fontName = fontMap[fontOrFamily].fontName; + fontClasses = [fontOrFamily]; + } else { + fontName = retrieveTextFontName(fontOrFamily, options.fontWeight, options.fontShape); + fontClasses = [fontOrFamily, options.fontWeight, options.fontShape]; + } + + if (lookupSymbol(text, fontName, mode).metrics) { + return makeSymbol(text, fontName, mode, options, classes.concat(fontClasses)); + } else if (ligatures.hasOwnProperty(text) && fontName.slice(0, 10) === "Typewriter") { + // Deconstruct ligatures in monospace fonts (\texttt, \tt). + var parts = []; + + for (var i = 0; i < text.length; i++) { + parts.push(makeSymbol(text[i], fontName, mode, options, classes.concat(fontClasses))); + } + + return makeFragment(parts); + } + } // Makes a symbol in the default font for mathords and textords. + + + if (type === "mathord") { + return makeSymbol(text, "Math-Italic", mode, options, classes.concat(["mathnormal"])); + } else if (type === "textord") { + var font = symbols[mode][text] && symbols[mode][text].font; + + if (font === "ams") { + var _fontName = retrieveTextFontName("amsrm", options.fontWeight, options.fontShape); + + return makeSymbol(text, _fontName, mode, options, classes.concat("amsrm", options.fontWeight, options.fontShape)); + } else if (font === "main" || !font) { + var _fontName2 = retrieveTextFontName("textrm", options.fontWeight, options.fontShape); + + return makeSymbol(text, _fontName2, mode, options, classes.concat(options.fontWeight, options.fontShape)); + } else { + // fonts added by plugins + var _fontName3 = retrieveTextFontName(font, options.fontWeight, options.fontShape); // We add font name as a css class + + + return makeSymbol(text, _fontName3, mode, options, classes.concat(_fontName3, options.fontWeight, options.fontShape)); + } + } else { + throw new Error("unexpected type: " + type + " in makeOrd"); + } +}; +/** + * Returns true if subsequent symbolNodes have the same classes, skew, maxFont, + * and styles. + */ + + +var canCombine = (prev, next) => { + if (createClass(prev.classes) !== createClass(next.classes) || prev.skew !== next.skew || prev.maxFontSize !== next.maxFontSize) { + return false; + } // If prev and next both are just "mbin"s or "mord"s we don't combine them + // so that the proper spacing can be preserved. + + + if (prev.classes.length === 1) { + var cls = prev.classes[0]; + + if (cls === "mbin" || cls === "mord") { + return false; + } + } + + for (var style in prev.style) { + if (prev.style.hasOwnProperty(style) && prev.style[style] !== next.style[style]) { + return false; + } + } + + for (var _style in next.style) { + if (next.style.hasOwnProperty(_style) && prev.style[_style] !== next.style[_style]) { + return false; + } + } + + return true; +}; +/** + * Combine consecutive domTree.symbolNodes into a single symbolNode. + * Note: this function mutates the argument. + */ + + +var tryCombineChars = chars => { + for (var i = 0; i < chars.length - 1; i++) { + var prev = chars[i]; + var next = chars[i + 1]; + + if (prev instanceof SymbolNode && next instanceof SymbolNode && canCombine(prev, next)) { + prev.text += next.text; + prev.height = Math.max(prev.height, next.height); + prev.depth = Math.max(prev.depth, next.depth); // Use the last character's italic correction since we use + // it to add padding to the right of the span created from + // the combined characters. + + prev.italic = next.italic; + chars.splice(i + 1, 1); + i--; + } + } + + return chars; +}; +/** + * Calculate the height, depth, and maxFontSize of an element based on its + * children. + */ + + +var sizeElementFromChildren = function sizeElementFromChildren(elem) { + var height = 0; + var depth = 0; + var maxFontSize = 0; + + for (var i = 0; i < elem.children.length; i++) { + var child = elem.children[i]; + + if (child.height > height) { + height = child.height; + } + + if (child.depth > depth) { + depth = child.depth; + } + + if (child.maxFontSize > maxFontSize) { + maxFontSize = child.maxFontSize; + } + } + + elem.height = height; + elem.depth = depth; + elem.maxFontSize = maxFontSize; +}; +/** + * Makes a span with the given list of classes, list of children, and options. + * + * TODO(#953): Ensure that `options` is always provided (currently some call + * sites don't pass it) and make the type below mandatory. + * TODO: add a separate argument for math class (e.g. `mop`, `mbin`), which + * should if present come first in `classes`. + */ + + +var makeSpan$2 = function makeSpan(classes, children, options, style) { + var span = new Span(classes, children, options, style); + sizeElementFromChildren(span); + return span; +}; // SVG one is simpler -- doesn't require height, depth, max-font setting. +// This is also a separate method for typesafety. + + +var makeSvgSpan = (classes, children, options, style) => new Span(classes, children, options, style); + +var makeLineSpan = function makeLineSpan(className, options, thickness) { + var line = makeSpan$2([className], [], options); + line.height = Math.max(thickness || options.fontMetrics().defaultRuleThickness, options.minRuleThickness); + line.style.borderBottomWidth = makeEm(line.height); + line.maxFontSize = 1.0; + return line; +}; +/** + * Makes an anchor with the given href, list of classes, list of children, + * and options. + */ + + +var makeAnchor = function makeAnchor(href, classes, children, options) { + var anchor = new Anchor(href, classes, children, options); + sizeElementFromChildren(anchor); + return anchor; +}; +/** + * Makes a document fragment with the given list of children. + */ + + +var makeFragment = function makeFragment(children) { + var fragment = new DocumentFragment(children); + sizeElementFromChildren(fragment); + return fragment; +}; +/** + * Wraps group in a span if it's a document fragment, allowing to apply classes + * and styles + */ + + +var wrapFragment = function wrapFragment(group, options) { + if (group instanceof DocumentFragment) { + return makeSpan$2([], [group], options); + } + + return group; +}; // These are exact object types to catch typos in the names of the optional fields. + + +// Computes the updated `children` list and the overall depth. +// +// This helper function for makeVList makes it easier to enforce type safety by +// allowing early exits (returns) in the logic. +var getVListChildrenAndDepth = function getVListChildrenAndDepth(params) { + if (params.positionType === "individualShift") { + var oldChildren = params.children; + var children = [oldChildren[0]]; // Add in kerns to the list of params.children to get each element to be + // shifted to the correct specified shift + + var _depth = -oldChildren[0].shift - oldChildren[0].elem.depth; + + var currPos = _depth; + + for (var i = 1; i < oldChildren.length; i++) { + var diff = -oldChildren[i].shift - currPos - oldChildren[i].elem.depth; + var size = diff - (oldChildren[i - 1].elem.height + oldChildren[i - 1].elem.depth); + currPos = currPos + diff; + children.push({ + type: "kern", + size + }); + children.push(oldChildren[i]); + } + + return { + children, + depth: _depth + }; + } + + var depth; + + if (params.positionType === "top") { + // We always start at the bottom, so calculate the bottom by adding up + // all the sizes + var bottom = params.positionData; + + for (var _i = 0; _i < params.children.length; _i++) { + var child = params.children[_i]; + bottom -= child.type === "kern" ? child.size : child.elem.height + child.elem.depth; + } + + depth = bottom; + } else if (params.positionType === "bottom") { + depth = -params.positionData; + } else { + var firstChild = params.children[0]; + + if (firstChild.type !== "elem") { + throw new Error('First child must have type "elem".'); + } + + if (params.positionType === "shift") { + depth = -firstChild.elem.depth - params.positionData; + } else if (params.positionType === "firstBaseline") { + depth = -firstChild.elem.depth; + } else { + throw new Error("Invalid positionType " + params.positionType + "."); + } + } + + return { + children: params.children, + depth + }; +}; +/** + * Makes a vertical list by stacking elements and kerns on top of each other. + * Allows for many different ways of specifying the positioning method. + * + * See VListParam documentation above. + */ + + +var makeVList = function makeVList(params, options) { + var { + children, + depth + } = getVListChildrenAndDepth(params); // Create a strut that is taller than any list item. The strut is added to + // each item, where it will determine the item's baseline. Since it has + // `overflow:hidden`, the strut's top edge will sit on the item's line box's + // top edge and the strut's bottom edge will sit on the item's baseline, + // with no additional line-height spacing. This allows the item baseline to + // be positioned precisely without worrying about font ascent and + // line-height. + + var pstrutSize = 0; + + for (var i = 0; i < children.length; i++) { + var child = children[i]; + + if (child.type === "elem") { + var elem = child.elem; + pstrutSize = Math.max(pstrutSize, elem.maxFontSize, elem.height); + } + } + + pstrutSize += 2; + var pstrut = makeSpan$2(["pstrut"], []); + pstrut.style.height = makeEm(pstrutSize); // Create a new list of actual children at the correct offsets + + var realChildren = []; + var minPos = depth; + var maxPos = depth; + var currPos = depth; + + for (var _i2 = 0; _i2 < children.length; _i2++) { + var _child = children[_i2]; + + if (_child.type === "kern") { + currPos += _child.size; + } else { + var _elem = _child.elem; + var classes = _child.wrapperClasses || []; + var style = _child.wrapperStyle || {}; + var childWrap = makeSpan$2(classes, [pstrut, _elem], undefined, style); + childWrap.style.top = makeEm(-pstrutSize - currPos - _elem.depth); + + if (_child.marginLeft) { + childWrap.style.marginLeft = _child.marginLeft; + } + + if (_child.marginRight) { + childWrap.style.marginRight = _child.marginRight; + } + + realChildren.push(childWrap); + currPos += _elem.height + _elem.depth; + } + + minPos = Math.min(minPos, currPos); + maxPos = Math.max(maxPos, currPos); + } // The vlist contents go in a table-cell with `vertical-align:bottom`. + // This cell's bottom edge will determine the containing table's baseline + // without overly expanding the containing line-box. + + + var vlist = makeSpan$2(["vlist"], realChildren); + vlist.style.height = makeEm(maxPos); // A second row is used if necessary to represent the vlist's depth. + + var rows; + + if (minPos < 0) { + // We will define depth in an empty span with display: table-cell. + // It should render with the height that we define. But Chrome, in + // contenteditable mode only, treats that span as if it contains some + // text content. And that min-height over-rides our desired height. + // So we put another empty span inside the depth strut span. + var emptySpan = makeSpan$2([], []); + var depthStrut = makeSpan$2(["vlist"], [emptySpan]); + depthStrut.style.height = makeEm(-minPos); // Safari wants the first row to have inline content; otherwise it + // puts the bottom of the *second* row on the baseline. + + var topStrut = makeSpan$2(["vlist-s"], [new SymbolNode("\u200b")]); + rows = [makeSpan$2(["vlist-r"], [vlist, topStrut]), makeSpan$2(["vlist-r"], [depthStrut])]; + } else { + rows = [makeSpan$2(["vlist-r"], [vlist])]; + } + + var vtable = makeSpan$2(["vlist-t"], rows); + + if (rows.length === 2) { + vtable.classes.push("vlist-t2"); + } + + vtable.height = maxPos; + vtable.depth = -minPos; + return vtable; +}; // Glue is a concept from TeX which is a flexible space between elements in +// either a vertical or horizontal list. In KaTeX, at least for now, it's +// static space between elements in a horizontal layout. + + +var makeGlue = (measurement, options) => { + // Make an empty span for the space + var rule = makeSpan$2(["mspace"], [], options); + var size = calculateSize(measurement, options); + rule.style.marginRight = makeEm(size); + return rule; +}; // Takes font options, and returns the appropriate fontLookup name + + +var retrieveTextFontName = function retrieveTextFontName(fontFamily, fontWeight, fontShape) { + var baseFontName = ""; + + switch (fontFamily) { + case "amsrm": + baseFontName = "AMS"; + break; + + case "textrm": + baseFontName = "Main"; + break; + + case "textsf": + baseFontName = "SansSerif"; + break; + + case "texttt": + baseFontName = "Typewriter"; + break; + + default: + baseFontName = fontFamily; + // use fonts added by a plugin + } + + var fontStylesName; + + if (fontWeight === "textbf" && fontShape === "textit") { + fontStylesName = "BoldItalic"; + } else if (fontWeight === "textbf") { + fontStylesName = "Bold"; + } else if (fontWeight === "textit") { + fontStylesName = "Italic"; + } else { + fontStylesName = "Regular"; + } + + return baseFontName + "-" + fontStylesName; +}; +/** + * Maps TeX font commands to objects containing: + * - variant: string used for "mathvariant" attribute in buildMathML.js + * - fontName: the "style" parameter to fontMetrics.getCharacterMetrics + */ +// A map between tex font commands an MathML mathvariant attribute values + + +var fontMap = { + // styles + "mathbf": { + variant: "bold", + fontName: "Main-Bold" + }, + "mathrm": { + variant: "normal", + fontName: "Main-Regular" + }, + "textit": { + variant: "italic", + fontName: "Main-Italic" + }, + "mathit": { + variant: "italic", + fontName: "Main-Italic" + }, + "mathnormal": { + variant: "italic", + fontName: "Math-Italic" + }, + // "boldsymbol" is missing because they require the use of multiple fonts: + // Math-BoldItalic and Main-Bold. This is handled by a special case in + // makeOrd which ends up calling boldsymbol. + // families + "mathbb": { + variant: "double-struck", + fontName: "AMS-Regular" + }, + "mathcal": { + variant: "script", + fontName: "Caligraphic-Regular" + }, + "mathfrak": { + variant: "fraktur", + fontName: "Fraktur-Regular" + }, + "mathscr": { + variant: "script", + fontName: "Script-Regular" + }, + "mathsf": { + variant: "sans-serif", + fontName: "SansSerif-Regular" + }, + "mathtt": { + variant: "monospace", + fontName: "Typewriter-Regular" + } +}; +var svgData = { + // path, width, height + vec: ["vec", 0.471, 0.714], + // values from the font glyph + oiintSize1: ["oiintSize1", 0.957, 0.499], + // oval to overlay the integrand + oiintSize2: ["oiintSize2", 1.472, 0.659], + oiiintSize1: ["oiiintSize1", 1.304, 0.499], + oiiintSize2: ["oiiintSize2", 1.98, 0.659] +}; + +var staticSvg = function staticSvg(value, options) { + // Create a span with inline SVG for the element. + var [pathName, width, height] = svgData[value]; + var path = new PathNode(pathName); + var svgNode = new SvgNode([path], { + "width": makeEm(width), + "height": makeEm(height), + // Override CSS rule `.katex svg { width: 100% }` + "style": "width:" + makeEm(width), + "viewBox": "0 0 " + 1000 * width + " " + 1000 * height, + "preserveAspectRatio": "xMinYMin" + }); + var span = makeSvgSpan(["overlay"], [svgNode], options); + span.height = height; + span.style.height = makeEm(height); + span.style.width = makeEm(width); + return span; +}; + +var buildCommon = { + fontMap, + makeSymbol, + mathsym, + makeSpan: makeSpan$2, + makeSvgSpan, + makeLineSpan, + makeAnchor, + makeFragment, + wrapFragment, + makeVList, + makeOrd, + makeGlue, + staticSvg, + svgData, + tryCombineChars +}; + +/** + * Describes spaces between different classes of atoms. + */ +var thinspace = { + number: 3, + unit: "mu" +}; +var mediumspace = { + number: 4, + unit: "mu" +}; +var thickspace = { + number: 5, + unit: "mu" +}; // Making the type below exact with all optional fields doesn't work due to +// - https://github.com/facebook/flow/issues/4582 +// - https://github.com/facebook/flow/issues/5688 +// However, since *all* fields are optional, $Shape<> works as suggested in 5688 +// above. + +// Spacing relationships for display and text styles +var spacings = { + mord: { + mop: thinspace, + mbin: mediumspace, + mrel: thickspace, + minner: thinspace + }, + mop: { + mord: thinspace, + mop: thinspace, + mrel: thickspace, + minner: thinspace + }, + mbin: { + mord: mediumspace, + mop: mediumspace, + mopen: mediumspace, + minner: mediumspace + }, + mrel: { + mord: thickspace, + mop: thickspace, + mopen: thickspace, + minner: thickspace + }, + mopen: {}, + mclose: { + mop: thinspace, + mbin: mediumspace, + mrel: thickspace, + minner: thinspace + }, + mpunct: { + mord: thinspace, + mop: thinspace, + mrel: thickspace, + mopen: thinspace, + mclose: thinspace, + mpunct: thinspace, + minner: thinspace + }, + minner: { + mord: thinspace, + mop: thinspace, + mbin: mediumspace, + mrel: thickspace, + mopen: thinspace, + mpunct: thinspace, + minner: thinspace + } +}; // Spacing relationships for script and scriptscript styles + +var tightSpacings = { + mord: { + mop: thinspace + }, + mop: { + mord: thinspace, + mop: thinspace + }, + mbin: {}, + mrel: {}, + mopen: {}, + mclose: { + mop: thinspace + }, + mpunct: {}, + minner: { + mop: thinspace + } +}; + +/** Context provided to function handlers for error messages. */ +// Note: reverse the order of the return type union will cause a flow error. +// See https://github.com/facebook/flow/issues/3663. +// More general version of `HtmlBuilder` for nodes (e.g. \sum, accent types) +// whose presence impacts super/subscripting. In this case, ParseNode<"supsub"> +// delegates its HTML building to the HtmlBuilder corresponding to these nodes. + +/** + * Final function spec for use at parse time. + * This is almost identical to `FunctionPropSpec`, except it + * 1. includes the function handler, and + * 2. requires all arguments except argTypes. + * It is generated by `defineFunction()` below. + */ + +/** + * All registered functions. + * `functions.js` just exports this same dictionary again and makes it public. + * `Parser.js` requires this dictionary. + */ +var _functions = {}; +/** + * All HTML builders. Should be only used in the `define*` and the `build*ML` + * functions. + */ + +var _htmlGroupBuilders = {}; +/** + * All MathML builders. Should be only used in the `define*` and the `build*ML` + * functions. + */ + +var _mathmlGroupBuilders = {}; +function defineFunction(_ref) { + var { + type, + names, + props, + handler, + htmlBuilder, + mathmlBuilder + } = _ref; + // Set default values of functions + var data = { + type, + numArgs: props.numArgs, + argTypes: props.argTypes, + allowedInArgument: !!props.allowedInArgument, + allowedInText: !!props.allowedInText, + allowedInMath: props.allowedInMath === undefined ? true : props.allowedInMath, + numOptionalArgs: props.numOptionalArgs || 0, + infix: !!props.infix, + primitive: !!props.primitive, + handler: handler + }; + + for (var i = 0; i < names.length; ++i) { + _functions[names[i]] = data; + } + + if (type) { + if (htmlBuilder) { + _htmlGroupBuilders[type] = htmlBuilder; + } + + if (mathmlBuilder) { + _mathmlGroupBuilders[type] = mathmlBuilder; + } + } +} +/** + * Use this to register only the HTML and MathML builders for a function (e.g. + * if the function's ParseNode is generated in Parser.js rather than via a + * stand-alone handler provided to `defineFunction`). + */ + +function defineFunctionBuilders(_ref2) { + var { + type, + htmlBuilder, + mathmlBuilder + } = _ref2; + defineFunction({ + type, + names: [], + props: { + numArgs: 0 + }, + + handler() { + throw new Error('Should never be called.'); + }, + + htmlBuilder, + mathmlBuilder + }); +} +var normalizeArgument = function normalizeArgument(arg) { + return arg.type === "ordgroup" && arg.body.length === 1 ? arg.body[0] : arg; +}; // Since the corresponding buildHTML/buildMathML function expects a +// list of elements, we normalize for different kinds of arguments + +var ordargument = function ordargument(arg) { + return arg.type === "ordgroup" ? arg.body : [arg]; +}; + +/** + * This file does the main work of building a domTree structure from a parse + * tree. The entry point is the `buildHTML` function, which takes a parse tree. + * Then, the buildExpression, buildGroup, and various groupBuilders functions + * are called, to produce a final HTML tree. + */ +var makeSpan$1 = buildCommon.makeSpan; // Binary atoms (first class `mbin`) change into ordinary atoms (`mord`) +// depending on their surroundings. See TeXbook pg. 442-446, Rules 5 and 6, +// and the text before Rule 19. + +var binLeftCanceller = ["leftmost", "mbin", "mopen", "mrel", "mop", "mpunct"]; +var binRightCanceller = ["rightmost", "mrel", "mclose", "mpunct"]; +var styleMap$1 = { + "display": Style$1.DISPLAY, + "text": Style$1.TEXT, + "script": Style$1.SCRIPT, + "scriptscript": Style$1.SCRIPTSCRIPT +}; +var DomEnum = { + mord: "mord", + mop: "mop", + mbin: "mbin", + mrel: "mrel", + mopen: "mopen", + mclose: "mclose", + mpunct: "mpunct", + minner: "minner" +}; + +/** + * Take a list of nodes, build them in order, and return a list of the built + * nodes. documentFragments are flattened into their contents, so the + * returned list contains no fragments. `isRealGroup` is true if `expression` + * is a real group (no atoms will be added on either side), as opposed to + * a partial group (e.g. one created by \color). `surrounding` is an array + * consisting type of nodes that will be added to the left and right. + */ +var buildExpression$1 = function buildExpression(expression, options, isRealGroup, surrounding) { + if (surrounding === void 0) { + surrounding = [null, null]; + } + + // Parse expressions into `groups`. + var groups = []; + + for (var i = 0; i < expression.length; i++) { + var output = buildGroup$1(expression[i], options); + + if (output instanceof DocumentFragment) { + var children = output.children; + groups.push(...children); + } else { + groups.push(output); + } + } // Combine consecutive domTree.symbolNodes into a single symbolNode. + + + buildCommon.tryCombineChars(groups); // If `expression` is a partial group, let the parent handle spacings + // to avoid processing groups multiple times. + + if (!isRealGroup) { + return groups; + } + + var glueOptions = options; + + if (expression.length === 1) { + var node = expression[0]; + + if (node.type === "sizing") { + glueOptions = options.havingSize(node.size); + } else if (node.type === "styling") { + glueOptions = options.havingStyle(styleMap$1[node.style]); + } + } // Dummy spans for determining spacings between surrounding atoms. + // If `expression` has no atoms on the left or right, class "leftmost" + // or "rightmost", respectively, is used to indicate it. + + + var dummyPrev = makeSpan$1([surrounding[0] || "leftmost"], [], options); + var dummyNext = makeSpan$1([surrounding[1] || "rightmost"], [], options); // TODO: These code assumes that a node's math class is the first element + // of its `classes` array. A later cleanup should ensure this, for + // instance by changing the signature of `makeSpan`. + // Before determining what spaces to insert, perform bin cancellation. + // Binary operators change to ordinary symbols in some contexts. + + var isRoot = isRealGroup === "root"; + traverseNonSpaceNodes(groups, (node, prev) => { + var prevType = prev.classes[0]; + var type = node.classes[0]; + + if (prevType === "mbin" && utils.contains(binRightCanceller, type)) { + prev.classes[0] = "mord"; + } else if (type === "mbin" && utils.contains(binLeftCanceller, prevType)) { + node.classes[0] = "mord"; + } + }, { + node: dummyPrev + }, dummyNext, isRoot); + traverseNonSpaceNodes(groups, (node, prev) => { + var prevType = getTypeOfDomTree(prev); + var type = getTypeOfDomTree(node); // 'mtight' indicates that the node is script or scriptscript style. + + var space = prevType && type ? node.hasClass("mtight") ? tightSpacings[prevType][type] : spacings[prevType][type] : null; + + if (space) { + // Insert glue (spacing) after the `prev`. + return buildCommon.makeGlue(space, glueOptions); + } + }, { + node: dummyPrev + }, dummyNext, isRoot); + return groups; +}; // Depth-first traverse non-space `nodes`, calling `callback` with the current and +// previous node as arguments, optionally returning a node to insert after the +// previous node. `prev` is an object with the previous node and `insertAfter` +// function to insert after it. `next` is a node that will be added to the right. +// Used for bin cancellation and inserting spacings. + +var traverseNonSpaceNodes = function traverseNonSpaceNodes(nodes, callback, prev, next, isRoot) { + if (next) { + // temporarily append the right node, if exists + nodes.push(next); + } + + var i = 0; + + for (; i < nodes.length; i++) { + var node = nodes[i]; + var partialGroup = checkPartialGroup(node); + + if (partialGroup) { + // Recursive DFS + // $FlowFixMe: make nodes a $ReadOnlyArray by returning a new array + traverseNonSpaceNodes(partialGroup.children, callback, prev, null, isRoot); + continue; + } // Ignore explicit spaces (e.g., \;, \,) when determining what implicit + // spacing should go between atoms of different classes + + + var nonspace = !node.hasClass("mspace"); + + if (nonspace) { + var result = callback(node, prev.node); + + if (result) { + if (prev.insertAfter) { + prev.insertAfter(result); + } else { + // insert at front + nodes.unshift(result); + i++; + } + } + } + + if (nonspace) { + prev.node = node; + } else if (isRoot && node.hasClass("newline")) { + prev.node = makeSpan$1(["leftmost"]); // treat like beginning of line + } + + prev.insertAfter = (index => n => { + nodes.splice(index + 1, 0, n); + i++; + })(i); + } + + if (next) { + nodes.pop(); + } +}; // Check if given node is a partial group, i.e., does not affect spacing around. + + +var checkPartialGroup = function checkPartialGroup(node) { + if (node instanceof DocumentFragment || node instanceof Anchor || node instanceof Span && node.hasClass("enclosing")) { + return node; + } + + return null; +}; // Return the outermost node of a domTree. + + +var getOutermostNode = function getOutermostNode(node, side) { + var partialGroup = checkPartialGroup(node); + + if (partialGroup) { + var children = partialGroup.children; + + if (children.length) { + if (side === "right") { + return getOutermostNode(children[children.length - 1], "right"); + } else if (side === "left") { + return getOutermostNode(children[0], "left"); + } + } + } + + return node; +}; // Return math atom class (mclass) of a domTree. +// If `side` is given, it will get the type of the outermost node at given side. + + +var getTypeOfDomTree = function getTypeOfDomTree(node, side) { + if (!node) { + return null; + } + + if (side) { + node = getOutermostNode(node, side); + } // This makes a lot of assumptions as to where the type of atom + // appears. We should do a better job of enforcing this. + + + return DomEnum[node.classes[0]] || null; +}; +var makeNullDelimiter = function makeNullDelimiter(options, classes) { + var moreClasses = ["nulldelimiter"].concat(options.baseSizingClasses()); + return makeSpan$1(classes.concat(moreClasses)); +}; +/** + * buildGroup is the function that takes a group and calls the correct groupType + * function for it. It also handles the interaction of size and style changes + * between parents and children. + */ + +var buildGroup$1 = function buildGroup(group, options, baseOptions) { + if (!group) { + return makeSpan$1(); + } + + if (_htmlGroupBuilders[group.type]) { + // Call the groupBuilders function + // $FlowFixMe + var groupNode = _htmlGroupBuilders[group.type](group, options); // If the size changed between the parent and the current group, account + // for that size difference. + + if (baseOptions && options.size !== baseOptions.size) { + groupNode = makeSpan$1(options.sizingClasses(baseOptions), [groupNode], options); + var multiplier = options.sizeMultiplier / baseOptions.sizeMultiplier; + groupNode.height *= multiplier; + groupNode.depth *= multiplier; + } + + return groupNode; + } else { + throw new ParseError("Got group of unknown type: '" + group.type + "'"); + } +}; +/** + * Combine an array of HTML DOM nodes (e.g., the output of `buildExpression`) + * into an unbreakable HTML node of class .base, with proper struts to + * guarantee correct vertical extent. `buildHTML` calls this repeatedly to + * make up the entire expression as a sequence of unbreakable units. + */ + +function buildHTMLUnbreakable(children, options) { + // Compute height and depth of this chunk. + var body = makeSpan$1(["base"], children, options); // Add strut, which ensures that the top of the HTML element falls at + // the height of the expression, and the bottom of the HTML element + // falls at the depth of the expression. + + var strut = makeSpan$1(["strut"]); + strut.style.height = makeEm(body.height + body.depth); + + if (body.depth) { + strut.style.verticalAlign = makeEm(-body.depth); + } + + body.children.unshift(strut); + return body; +} +/** + * Take an entire parse tree, and build it into an appropriate set of HTML + * nodes. + */ + + +function buildHTML(tree, options) { + // Strip off outer tag wrapper for processing below. + var tag = null; + + if (tree.length === 1 && tree[0].type === "tag") { + tag = tree[0].tag; + tree = tree[0].body; + } // Build the expression contained in the tree + + + var expression = buildExpression$1(tree, options, "root"); + var eqnNum; + + if (expression.length === 2 && expression[1].hasClass("tag")) { + // An environment with automatic equation numbers, e.g. {gather}. + eqnNum = expression.pop(); + } + + var children = []; // Create one base node for each chunk between potential line breaks. + // The TeXBook [p.173] says "A formula will be broken only after a + // relation symbol like $=$ or $<$ or $\rightarrow$, or after a binary + // operation symbol like $+$ or $-$ or $\times$, where the relation or + // binary operation is on the ``outer level'' of the formula (i.e., not + // enclosed in {...} and not part of an \over construction)." + + var parts = []; + + for (var i = 0; i < expression.length; i++) { + parts.push(expression[i]); + + if (expression[i].hasClass("mbin") || expression[i].hasClass("mrel") || expression[i].hasClass("allowbreak")) { + // Put any post-operator glue on same line as operator. + // Watch for \nobreak along the way, and stop at \newline. + var nobreak = false; + + while (i < expression.length - 1 && expression[i + 1].hasClass("mspace") && !expression[i + 1].hasClass("newline")) { + i++; + parts.push(expression[i]); + + if (expression[i].hasClass("nobreak")) { + nobreak = true; + } + } // Don't allow break if \nobreak among the post-operator glue. + + + if (!nobreak) { + children.push(buildHTMLUnbreakable(parts, options)); + parts = []; + } + } else if (expression[i].hasClass("newline")) { + // Write the line except the newline + parts.pop(); + + if (parts.length > 0) { + children.push(buildHTMLUnbreakable(parts, options)); + parts = []; + } // Put the newline at the top level + + + children.push(expression[i]); + } + } + + if (parts.length > 0) { + children.push(buildHTMLUnbreakable(parts, options)); + } // Now, if there was a tag, build it too and append it as a final child. + + + var tagChild; + + if (tag) { + tagChild = buildHTMLUnbreakable(buildExpression$1(tag, options, true)); + tagChild.classes = ["tag"]; + children.push(tagChild); + } else if (eqnNum) { + children.push(eqnNum); + } + + var htmlNode = makeSpan$1(["katex-html"], children); + htmlNode.setAttribute("aria-hidden", "true"); // Adjust the strut of the tag to be the maximum height of all children + // (the height of the enclosing htmlNode) for proper vertical alignment. + + if (tagChild) { + var strut = tagChild.children[0]; + strut.style.height = makeEm(htmlNode.height + htmlNode.depth); + + if (htmlNode.depth) { + strut.style.verticalAlign = makeEm(-htmlNode.depth); + } + } + + return htmlNode; +} + +/** + * These objects store data about MathML nodes. This is the MathML equivalent + * of the types in domTree.js. Since MathML handles its own rendering, and + * since we're mainly using MathML to improve accessibility, we don't manage + * any of the styling state that the plain DOM nodes do. + * + * The `toNode` and `toMarkup` functions work simlarly to how they do in + * domTree.js, creating namespaced DOM nodes and HTML text markup respectively. + */ +function newDocumentFragment(children) { + return new DocumentFragment(children); +} +/** + * This node represents a general purpose MathML node of any type. The + * constructor requires the type of node to create (for example, `"mo"` or + * `"mspace"`, corresponding to `` and `` tags). + */ + +class MathNode { + constructor(type, children, classes) { + this.type = void 0; + this.attributes = void 0; + this.children = void 0; + this.classes = void 0; + this.type = type; + this.attributes = {}; + this.children = children || []; + this.classes = classes || []; + } + /** + * Sets an attribute on a MathML node. MathML depends on attributes to convey a + * semantic content, so this is used heavily. + */ + + + setAttribute(name, value) { + this.attributes[name] = value; + } + /** + * Gets an attribute on a MathML node. + */ + + + getAttribute(name) { + return this.attributes[name]; + } + /** + * Converts the math node into a MathML-namespaced DOM element. + */ + + + toNode() { + var node = document.createElementNS("http://www.w3.org/1998/Math/MathML", this.type); + + for (var attr in this.attributes) { + if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) { + node.setAttribute(attr, this.attributes[attr]); + } + } + + if (this.classes.length > 0) { + node.className = createClass(this.classes); + } + + for (var i = 0; i < this.children.length; i++) { + node.appendChild(this.children[i].toNode()); + } + + return node; + } + /** + * Converts the math node into an HTML markup string. + */ + + + toMarkup() { + var markup = "<" + this.type; // Add the attributes + + for (var attr in this.attributes) { + if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) { + markup += " " + attr + "=\""; + markup += utils.escape(this.attributes[attr]); + markup += "\""; + } + } + + if (this.classes.length > 0) { + markup += " class =\"" + utils.escape(createClass(this.classes)) + "\""; + } + + markup += ">"; + + for (var i = 0; i < this.children.length; i++) { + markup += this.children[i].toMarkup(); + } + + markup += ""; + return markup; + } + /** + * Converts the math node into a string, similar to innerText, but escaped. + */ + + + toText() { + return this.children.map(child => child.toText()).join(""); + } + +} +/** + * This node represents a piece of text. + */ + +class TextNode { + constructor(text) { + this.text = void 0; + this.text = text; + } + /** + * Converts the text node into a DOM text node. + */ + + + toNode() { + return document.createTextNode(this.text); + } + /** + * Converts the text node into escaped HTML markup + * (representing the text itself). + */ + + + toMarkup() { + return utils.escape(this.toText()); + } + /** + * Converts the text node into a string + * (representing the text iteself). + */ + + + toText() { + return this.text; + } + +} +/** + * This node represents a space, but may render as or as text, + * depending on the width. + */ + +class SpaceNode { + /** + * Create a Space node with width given in CSS ems. + */ + constructor(width) { + this.width = void 0; + this.character = void 0; + this.width = width; // See https://www.w3.org/TR/2000/WD-MathML2-20000328/chapter6.html + // for a table of space-like characters. We use Unicode + // representations instead of &LongNames; as it's not clear how to + // make the latter via document.createTextNode. + + if (width >= 0.05555 && width <= 0.05556) { + this.character = "\u200a"; //   + } else if (width >= 0.1666 && width <= 0.1667) { + this.character = "\u2009"; //   + } else if (width >= 0.2222 && width <= 0.2223) { + this.character = "\u2005"; //   + } else if (width >= 0.2777 && width <= 0.2778) { + this.character = "\u2005\u200a"; //    + } else if (width >= -0.05556 && width <= -0.05555) { + this.character = "\u200a\u2063"; // ​ + } else if (width >= -0.1667 && width <= -0.1666) { + this.character = "\u2009\u2063"; // ​ + } else if (width >= -0.2223 && width <= -0.2222) { + this.character = "\u205f\u2063"; // ​ + } else if (width >= -0.2778 && width <= -0.2777) { + this.character = "\u2005\u2063"; // ​ + } else { + this.character = null; + } + } + /** + * Converts the math node into a MathML-namespaced DOM element. + */ + + + toNode() { + if (this.character) { + return document.createTextNode(this.character); + } else { + var node = document.createElementNS("http://www.w3.org/1998/Math/MathML", "mspace"); + node.setAttribute("width", makeEm(this.width)); + return node; + } + } + /** + * Converts the math node into an HTML markup string. + */ + + + toMarkup() { + if (this.character) { + return "" + this.character + ""; + } else { + return ""; + } + } + /** + * Converts the math node into a string, similar to innerText. + */ + + + toText() { + if (this.character) { + return this.character; + } else { + return " "; + } + } + +} + +var mathMLTree = { + MathNode, + TextNode, + SpaceNode, + newDocumentFragment +}; + +/** + * This file converts a parse tree into a cooresponding MathML tree. The main + * entry point is the `buildMathML` function, which takes a parse tree from the + * parser. + */ + +/** + * Takes a symbol and converts it into a MathML text node after performing + * optional replacement from symbols.js. + */ +var makeText = function makeText(text, mode, options) { + if (symbols[mode][text] && symbols[mode][text].replace && text.charCodeAt(0) !== 0xD835 && !(ligatures.hasOwnProperty(text) && options && (options.fontFamily && options.fontFamily.slice(4, 6) === "tt" || options.font && options.font.slice(4, 6) === "tt"))) { + text = symbols[mode][text].replace; + } + + return new mathMLTree.TextNode(text); +}; +/** + * Wrap the given array of nodes in an node if needed, i.e., + * unless the array has length 1. Always returns a single node. + */ + +var makeRow = function makeRow(body) { + if (body.length === 1) { + return body[0]; + } else { + return new mathMLTree.MathNode("mrow", body); + } +}; +/** + * Returns the math variant as a string or null if none is required. + */ + +var getVariant = function getVariant(group, options) { + // Handle \text... font specifiers as best we can. + // MathML has a limited list of allowable mathvariant specifiers; see + // https://www.w3.org/TR/MathML3/chapter3.html#presm.commatt + if (options.fontFamily === "texttt") { + return "monospace"; + } else if (options.fontFamily === "textsf") { + if (options.fontShape === "textit" && options.fontWeight === "textbf") { + return "sans-serif-bold-italic"; + } else if (options.fontShape === "textit") { + return "sans-serif-italic"; + } else if (options.fontWeight === "textbf") { + return "bold-sans-serif"; + } else { + return "sans-serif"; + } + } else if (options.fontShape === "textit" && options.fontWeight === "textbf") { + return "bold-italic"; + } else if (options.fontShape === "textit") { + return "italic"; + } else if (options.fontWeight === "textbf") { + return "bold"; + } + + var font = options.font; + + if (!font || font === "mathnormal") { + return null; + } + + var mode = group.mode; + + if (font === "mathit") { + return "italic"; + } else if (font === "boldsymbol") { + return group.type === "textord" ? "bold" : "bold-italic"; + } else if (font === "mathbf") { + return "bold"; + } else if (font === "mathbb") { + return "double-struck"; + } else if (font === "mathfrak") { + return "fraktur"; + } else if (font === "mathscr" || font === "mathcal") { + // MathML makes no distinction between script and caligrahpic + return "script"; + } else if (font === "mathsf") { + return "sans-serif"; + } else if (font === "mathtt") { + return "monospace"; + } + + var text = group.text; + + if (utils.contains(["\\imath", "\\jmath"], text)) { + return null; + } + + if (symbols[mode][text] && symbols[mode][text].replace) { + text = symbols[mode][text].replace; + } + + var fontName = buildCommon.fontMap[font].fontName; + + if (getCharacterMetrics(text, fontName, mode)) { + return buildCommon.fontMap[font].variant; + } + + return null; +}; +/** + * Takes a list of nodes, builds them, and returns a list of the generated + * MathML nodes. Also combine consecutive outputs into a single + * tag. + */ + +var buildExpression = function buildExpression(expression, options, isOrdgroup) { + if (expression.length === 1) { + var group = buildGroup(expression[0], options); + + if (isOrdgroup && group instanceof MathNode && group.type === "mo") { + // When TeX writers want to suppress spacing on an operator, + // they often put the operator by itself inside braces. + group.setAttribute("lspace", "0em"); + group.setAttribute("rspace", "0em"); + } + + return [group]; + } + + var groups = []; + var lastGroup; + + for (var i = 0; i < expression.length; i++) { + var _group = buildGroup(expression[i], options); + + if (_group instanceof MathNode && lastGroup instanceof MathNode) { + // Concatenate adjacent s + if (_group.type === 'mtext' && lastGroup.type === 'mtext' && _group.getAttribute('mathvariant') === lastGroup.getAttribute('mathvariant')) { + lastGroup.children.push(..._group.children); + continue; // Concatenate adjacent s + } else if (_group.type === 'mn' && lastGroup.type === 'mn') { + lastGroup.children.push(..._group.children); + continue; // Concatenate ... followed by . + } else if (_group.type === 'mi' && _group.children.length === 1 && lastGroup.type === 'mn') { + var child = _group.children[0]; + + if (child instanceof TextNode && child.text === '.') { + lastGroup.children.push(..._group.children); + continue; + } + } else if (lastGroup.type === 'mi' && lastGroup.children.length === 1) { + var lastChild = lastGroup.children[0]; + + if (lastChild instanceof TextNode && lastChild.text === '\u0338' && (_group.type === 'mo' || _group.type === 'mi' || _group.type === 'mn')) { + var _child = _group.children[0]; + + if (_child instanceof TextNode && _child.text.length > 0) { + // Overlay with combining character long solidus + _child.text = _child.text.slice(0, 1) + "\u0338" + _child.text.slice(1); + groups.pop(); + } + } + } + } + + groups.push(_group); + lastGroup = _group; + } + + return groups; +}; +/** + * Equivalent to buildExpression, but wraps the elements in an + * if there's more than one. Returns a single node instead of an array. + */ + +var buildExpressionRow = function buildExpressionRow(expression, options, isOrdgroup) { + return makeRow(buildExpression(expression, options, isOrdgroup)); +}; +/** + * Takes a group from the parser and calls the appropriate groupBuilders function + * on it to produce a MathML node. + */ + +var buildGroup = function buildGroup(group, options) { + if (!group) { + return new mathMLTree.MathNode("mrow"); + } + + if (_mathmlGroupBuilders[group.type]) { + // Call the groupBuilders function + // $FlowFixMe + var result = _mathmlGroupBuilders[group.type](group, options); // $FlowFixMe + + return result; + } else { + throw new ParseError("Got group of unknown type: '" + group.type + "'"); + } +}; +/** + * Takes a full parse tree and settings and builds a MathML representation of + * it. In particular, we put the elements from building the parse tree into a + * tag so we can also include that TeX source as an annotation. + * + * Note that we actually return a domTree element with a `` inside it so + * we can do appropriate styling. + */ + +function buildMathML(tree, texExpression, options, isDisplayMode, forMathmlOnly) { + var expression = buildExpression(tree, options); // TODO: Make a pass thru the MathML similar to buildHTML.traverseNonSpaceNodes + // and add spacing nodes. This is necessary only adjacent to math operators + // like \sin or \lim or to subsup elements that contain math operators. + // MathML takes care of the other spacing issues. + // Wrap up the expression in an mrow so it is presented in the semantics + // tag correctly, unless it's a single or . + + var wrapper; + + if (expression.length === 1 && expression[0] instanceof MathNode && utils.contains(["mrow", "mtable"], expression[0].type)) { + wrapper = expression[0]; + } else { + wrapper = new mathMLTree.MathNode("mrow", expression); + } // Build a TeX annotation of the source + + + var annotation = new mathMLTree.MathNode("annotation", [new mathMLTree.TextNode(texExpression)]); + annotation.setAttribute("encoding", "application/x-tex"); + var semantics = new mathMLTree.MathNode("semantics", [wrapper, annotation]); + var math = new mathMLTree.MathNode("math", [semantics]); + math.setAttribute("xmlns", "http://www.w3.org/1998/Math/MathML"); + + if (isDisplayMode) { + math.setAttribute("display", "block"); + } // You can't style nodes, so we wrap the node in a span. + // NOTE: The span class is not typed to have nodes as children, and + // we don't want to make the children type more generic since the children + // of span are expected to have more fields in `buildHtml` contexts. + + + var wrapperClass = forMathmlOnly ? "katex" : "katex-mathml"; // $FlowFixMe + + return buildCommon.makeSpan([wrapperClass], [math]); +} + +var optionsFromSettings = function optionsFromSettings(settings) { + return new Options({ + style: settings.displayMode ? Style$1.DISPLAY : Style$1.TEXT, + maxSize: settings.maxSize, + minRuleThickness: settings.minRuleThickness + }); +}; + +var displayWrap = function displayWrap(node, settings) { + if (settings.displayMode) { + var classes = ["katex-display"]; + + if (settings.leqno) { + classes.push("leqno"); + } + + if (settings.fleqn) { + classes.push("fleqn"); + } + + node = buildCommon.makeSpan(classes, [node]); + } + + return node; +}; + +var buildTree = function buildTree(tree, expression, settings) { + var options = optionsFromSettings(settings); + var katexNode; + + if (settings.output === "mathml") { + return buildMathML(tree, expression, options, settings.displayMode, true); + } else if (settings.output === "html") { + var htmlNode = buildHTML(tree, options); + katexNode = buildCommon.makeSpan(["katex"], [htmlNode]); + } else { + var mathMLNode = buildMathML(tree, expression, options, settings.displayMode, false); + + var _htmlNode = buildHTML(tree, options); + + katexNode = buildCommon.makeSpan(["katex"], [mathMLNode, _htmlNode]); + } + + return displayWrap(katexNode, settings); +}; +var buildHTMLTree = function buildHTMLTree(tree, expression, settings) { + var options = optionsFromSettings(settings); + var htmlNode = buildHTML(tree, options); + var katexNode = buildCommon.makeSpan(["katex"], [htmlNode]); + return displayWrap(katexNode, settings); +}; + +/** + * This file provides support to buildMathML.js and buildHTML.js + * for stretchy wide elements rendered from SVG files + * and other CSS trickery. + */ +var stretchyCodePoint = { + widehat: "^", + widecheck: "ˇ", + widetilde: "~", + utilde: "~", + overleftarrow: "\u2190", + underleftarrow: "\u2190", + xleftarrow: "\u2190", + overrightarrow: "\u2192", + underrightarrow: "\u2192", + xrightarrow: "\u2192", + underbrace: "\u23df", + overbrace: "\u23de", + overgroup: "\u23e0", + undergroup: "\u23e1", + overleftrightarrow: "\u2194", + underleftrightarrow: "\u2194", + xleftrightarrow: "\u2194", + Overrightarrow: "\u21d2", + xRightarrow: "\u21d2", + overleftharpoon: "\u21bc", + xleftharpoonup: "\u21bc", + overrightharpoon: "\u21c0", + xrightharpoonup: "\u21c0", + xLeftarrow: "\u21d0", + xLeftrightarrow: "\u21d4", + xhookleftarrow: "\u21a9", + xhookrightarrow: "\u21aa", + xmapsto: "\u21a6", + xrightharpoondown: "\u21c1", + xleftharpoondown: "\u21bd", + xrightleftharpoons: "\u21cc", + xleftrightharpoons: "\u21cb", + xtwoheadleftarrow: "\u219e", + xtwoheadrightarrow: "\u21a0", + xlongequal: "=", + xtofrom: "\u21c4", + xrightleftarrows: "\u21c4", + xrightequilibrium: "\u21cc", + // Not a perfect match. + xleftequilibrium: "\u21cb", + // None better available. + "\\cdrightarrow": "\u2192", + "\\cdleftarrow": "\u2190", + "\\cdlongequal": "=" +}; + +var mathMLnode = function mathMLnode(label) { + var node = new mathMLTree.MathNode("mo", [new mathMLTree.TextNode(stretchyCodePoint[label.replace(/^\\/, '')])]); + node.setAttribute("stretchy", "true"); + return node; +}; // Many of the KaTeX SVG images have been adapted from glyphs in KaTeX fonts. +// Copyright (c) 2009-2010, Design Science, Inc. () +// Copyright (c) 2014-2017 Khan Academy () +// Licensed under the SIL Open Font License, Version 1.1. +// See \nhttp://scripts.sil.org/OFL +// Very Long SVGs +// Many of the KaTeX stretchy wide elements use a long SVG image and an +// overflow: hidden tactic to achieve a stretchy image while avoiding +// distortion of arrowheads or brace corners. +// The SVG typically contains a very long (400 em) arrow. +// The SVG is in a container span that has overflow: hidden, so the span +// acts like a window that exposes only part of the SVG. +// The SVG always has a longer, thinner aspect ratio than the container span. +// After the SVG fills 100% of the height of the container span, +// there is a long arrow shaft left over. That left-over shaft is not shown. +// Instead, it is sliced off because the span's CSS has overflow: hidden. +// Thus, the reader sees an arrow that matches the subject matter width +// without distortion. +// Some functions, such as \cancel, need to vary their aspect ratio. These +// functions do not get the overflow SVG treatment. +// Second Brush Stroke +// Low resolution monitors struggle to display images in fine detail. +// So browsers apply anti-aliasing. A long straight arrow shaft therefore +// will sometimes appear as if it has a blurred edge. +// To mitigate this, these SVG files contain a second "brush-stroke" on the +// arrow shafts. That is, a second long thin rectangular SVG path has been +// written directly on top of each arrow shaft. This reinforcement causes +// some of the screen pixels to display as black instead of the anti-aliased +// gray pixel that a single path would generate. So we get arrow shafts +// whose edges appear to be sharper. +// In the katexImagesData object just below, the dimensions all +// correspond to path geometry inside the relevant SVG. +// For example, \overrightarrow uses the same arrowhead as glyph U+2192 +// from the KaTeX Main font. The scaling factor is 1000. +// That is, inside the font, that arrowhead is 522 units tall, which +// corresponds to 0.522 em inside the document. + + +var katexImagesData = { + // path(s), minWidth, height, align + overrightarrow: [["rightarrow"], 0.888, 522, "xMaxYMin"], + overleftarrow: [["leftarrow"], 0.888, 522, "xMinYMin"], + underrightarrow: [["rightarrow"], 0.888, 522, "xMaxYMin"], + underleftarrow: [["leftarrow"], 0.888, 522, "xMinYMin"], + xrightarrow: [["rightarrow"], 1.469, 522, "xMaxYMin"], + "\\cdrightarrow": [["rightarrow"], 3.0, 522, "xMaxYMin"], + // CD minwwidth2.5pc + xleftarrow: [["leftarrow"], 1.469, 522, "xMinYMin"], + "\\cdleftarrow": [["leftarrow"], 3.0, 522, "xMinYMin"], + Overrightarrow: [["doublerightarrow"], 0.888, 560, "xMaxYMin"], + xRightarrow: [["doublerightarrow"], 1.526, 560, "xMaxYMin"], + xLeftarrow: [["doubleleftarrow"], 1.526, 560, "xMinYMin"], + overleftharpoon: [["leftharpoon"], 0.888, 522, "xMinYMin"], + xleftharpoonup: [["leftharpoon"], 0.888, 522, "xMinYMin"], + xleftharpoondown: [["leftharpoondown"], 0.888, 522, "xMinYMin"], + overrightharpoon: [["rightharpoon"], 0.888, 522, "xMaxYMin"], + xrightharpoonup: [["rightharpoon"], 0.888, 522, "xMaxYMin"], + xrightharpoondown: [["rightharpoondown"], 0.888, 522, "xMaxYMin"], + xlongequal: [["longequal"], 0.888, 334, "xMinYMin"], + "\\cdlongequal": [["longequal"], 3.0, 334, "xMinYMin"], + xtwoheadleftarrow: [["twoheadleftarrow"], 0.888, 334, "xMinYMin"], + xtwoheadrightarrow: [["twoheadrightarrow"], 0.888, 334, "xMaxYMin"], + overleftrightarrow: [["leftarrow", "rightarrow"], 0.888, 522], + overbrace: [["leftbrace", "midbrace", "rightbrace"], 1.6, 548], + underbrace: [["leftbraceunder", "midbraceunder", "rightbraceunder"], 1.6, 548], + underleftrightarrow: [["leftarrow", "rightarrow"], 0.888, 522], + xleftrightarrow: [["leftarrow", "rightarrow"], 1.75, 522], + xLeftrightarrow: [["doubleleftarrow", "doublerightarrow"], 1.75, 560], + xrightleftharpoons: [["leftharpoondownplus", "rightharpoonplus"], 1.75, 716], + xleftrightharpoons: [["leftharpoonplus", "rightharpoondownplus"], 1.75, 716], + xhookleftarrow: [["leftarrow", "righthook"], 1.08, 522], + xhookrightarrow: [["lefthook", "rightarrow"], 1.08, 522], + overlinesegment: [["leftlinesegment", "rightlinesegment"], 0.888, 522], + underlinesegment: [["leftlinesegment", "rightlinesegment"], 0.888, 522], + overgroup: [["leftgroup", "rightgroup"], 0.888, 342], + undergroup: [["leftgroupunder", "rightgroupunder"], 0.888, 342], + xmapsto: [["leftmapsto", "rightarrow"], 1.5, 522], + xtofrom: [["leftToFrom", "rightToFrom"], 1.75, 528], + // The next three arrows are from the mhchem package. + // In mhchem.sty, min-length is 2.0em. But these arrows might appear in the + // document as \xrightarrow or \xrightleftharpoons. Those have + // min-length = 1.75em, so we set min-length on these next three to match. + xrightleftarrows: [["baraboveleftarrow", "rightarrowabovebar"], 1.75, 901], + xrightequilibrium: [["baraboveshortleftharpoon", "rightharpoonaboveshortbar"], 1.75, 716], + xleftequilibrium: [["shortbaraboveleftharpoon", "shortrightharpoonabovebar"], 1.75, 716] +}; + +var groupLength = function groupLength(arg) { + if (arg.type === "ordgroup") { + return arg.body.length; + } else { + return 1; + } +}; + +var svgSpan = function svgSpan(group, options) { + // Create a span with inline SVG for the element. + function buildSvgSpan_() { + var viewBoxWidth = 400000; // default + + var label = group.label.slice(1); + + if (utils.contains(["widehat", "widecheck", "widetilde", "utilde"], label)) { + // Each type in the `if` statement corresponds to one of the ParseNode + // types below. This narrowing is required to access `grp.base`. + // $FlowFixMe + var grp = group; // There are four SVG images available for each function. + // Choose a taller image when there are more characters. + + var numChars = groupLength(grp.base); + var viewBoxHeight; + var pathName; + + var _height; + + if (numChars > 5) { + if (label === "widehat" || label === "widecheck") { + viewBoxHeight = 420; + viewBoxWidth = 2364; + _height = 0.42; + pathName = label + "4"; + } else { + viewBoxHeight = 312; + viewBoxWidth = 2340; + _height = 0.34; + pathName = "tilde4"; + } + } else { + var imgIndex = [1, 1, 2, 2, 3, 3][numChars]; + + if (label === "widehat" || label === "widecheck") { + viewBoxWidth = [0, 1062, 2364, 2364, 2364][imgIndex]; + viewBoxHeight = [0, 239, 300, 360, 420][imgIndex]; + _height = [0, 0.24, 0.3, 0.3, 0.36, 0.42][imgIndex]; + pathName = label + imgIndex; + } else { + viewBoxWidth = [0, 600, 1033, 2339, 2340][imgIndex]; + viewBoxHeight = [0, 260, 286, 306, 312][imgIndex]; + _height = [0, 0.26, 0.286, 0.3, 0.306, 0.34][imgIndex]; + pathName = "tilde" + imgIndex; + } + } + + var path = new PathNode(pathName); + var svgNode = new SvgNode([path], { + "width": "100%", + "height": makeEm(_height), + "viewBox": "0 0 " + viewBoxWidth + " " + viewBoxHeight, + "preserveAspectRatio": "none" + }); + return { + span: buildCommon.makeSvgSpan([], [svgNode], options), + minWidth: 0, + height: _height + }; + } else { + var spans = []; + var data = katexImagesData[label]; + var [paths, _minWidth, _viewBoxHeight] = data; + + var _height2 = _viewBoxHeight / 1000; + + var numSvgChildren = paths.length; + var widthClasses; + var aligns; + + if (numSvgChildren === 1) { + // $FlowFixMe: All these cases must be of the 4-tuple type. + var align1 = data[3]; + widthClasses = ["hide-tail"]; + aligns = [align1]; + } else if (numSvgChildren === 2) { + widthClasses = ["halfarrow-left", "halfarrow-right"]; + aligns = ["xMinYMin", "xMaxYMin"]; + } else if (numSvgChildren === 3) { + widthClasses = ["brace-left", "brace-center", "brace-right"]; + aligns = ["xMinYMin", "xMidYMin", "xMaxYMin"]; + } else { + throw new Error("Correct katexImagesData or update code here to support\n " + numSvgChildren + " children."); + } + + for (var i = 0; i < numSvgChildren; i++) { + var _path = new PathNode(paths[i]); + + var _svgNode = new SvgNode([_path], { + "width": "400em", + "height": makeEm(_height2), + "viewBox": "0 0 " + viewBoxWidth + " " + _viewBoxHeight, + "preserveAspectRatio": aligns[i] + " slice" + }); + + var _span = buildCommon.makeSvgSpan([widthClasses[i]], [_svgNode], options); + + if (numSvgChildren === 1) { + return { + span: _span, + minWidth: _minWidth, + height: _height2 + }; + } else { + _span.style.height = makeEm(_height2); + spans.push(_span); + } + } + + return { + span: buildCommon.makeSpan(["stretchy"], spans, options), + minWidth: _minWidth, + height: _height2 + }; + } + } // buildSvgSpan_() + + + var { + span, + minWidth, + height + } = buildSvgSpan_(); // Note that we are returning span.depth = 0. + // Any adjustments relative to the baseline must be done in buildHTML. + + span.height = height; + span.style.height = makeEm(height); + + if (minWidth > 0) { + span.style.minWidth = makeEm(minWidth); + } + + return span; +}; + +var encloseSpan = function encloseSpan(inner, label, topPad, bottomPad, options) { + // Return an image span for \cancel, \bcancel, \xcancel, \fbox, or \angl + var img; + var totalHeight = inner.height + inner.depth + topPad + bottomPad; + + if (/fbox|color|angl/.test(label)) { + img = buildCommon.makeSpan(["stretchy", label], [], options); + + if (label === "fbox") { + var color = options.color && options.getColor(); + + if (color) { + img.style.borderColor = color; + } + } + } else { + // \cancel, \bcancel, or \xcancel + // Since \cancel's SVG is inline and it omits the viewBox attribute, + // its stroke-width will not vary with span area. + var lines = []; + + if (/^[bx]cancel$/.test(label)) { + lines.push(new LineNode({ + "x1": "0", + "y1": "0", + "x2": "100%", + "y2": "100%", + "stroke-width": "0.046em" + })); + } + + if (/^x?cancel$/.test(label)) { + lines.push(new LineNode({ + "x1": "0", + "y1": "100%", + "x2": "100%", + "y2": "0", + "stroke-width": "0.046em" + })); + } + + var svgNode = new SvgNode(lines, { + "width": "100%", + "height": makeEm(totalHeight) + }); + img = buildCommon.makeSvgSpan([], [svgNode], options); + } + + img.height = totalHeight; + img.style.height = makeEm(totalHeight); + return img; +}; + +var stretchy = { + encloseSpan, + mathMLnode, + svgSpan +}; + +/** + * Asserts that the node is of the given type and returns it with stricter + * typing. Throws if the node's type does not match. + */ +function assertNodeType(node, type) { + if (!node || node.type !== type) { + throw new Error("Expected node of type " + type + ", but got " + (node ? "node of type " + node.type : String(node))); + } // $FlowFixMe, >=0.125 + + + return node; +} +/** + * Returns the node more strictly typed iff it is of the given type. Otherwise, + * returns null. + */ + +function assertSymbolNodeType(node) { + var typedNode = checkSymbolNodeType(node); + + if (!typedNode) { + throw new Error("Expected node of symbol group type, but got " + (node ? "node of type " + node.type : String(node))); + } + + return typedNode; +} +/** + * Returns the node more strictly typed iff it is of the given type. Otherwise, + * returns null. + */ + +function checkSymbolNodeType(node) { + if (node && (node.type === "atom" || NON_ATOMS.hasOwnProperty(node.type))) { + // $FlowFixMe + return node; + } + + return null; +} + +// NOTE: Unlike most `htmlBuilder`s, this one handles not only "accent", but +// also "supsub" since an accent can affect super/subscripting. +var htmlBuilder$a = (grp, options) => { + // Accents are handled in the TeXbook pg. 443, rule 12. + var base; + var group; + var supSubGroup; + + if (grp && grp.type === "supsub") { + // If our base is a character box, and we have superscripts and + // subscripts, the supsub will defer to us. In particular, we want + // to attach the superscripts and subscripts to the inner body (so + // that the position of the superscripts and subscripts won't be + // affected by the height of the accent). We accomplish this by + // sticking the base of the accent into the base of the supsub, and + // rendering that, while keeping track of where the accent is. + // The real accent group is the base of the supsub group + group = assertNodeType(grp.base, "accent"); // The character box is the base of the accent group + + base = group.base; // Stick the character box into the base of the supsub group + + grp.base = base; // Rerender the supsub group with its new base, and store that + // result. + + supSubGroup = assertSpan(buildGroup$1(grp, options)); // reset original base + + grp.base = group; + } else { + group = assertNodeType(grp, "accent"); + base = group.base; + } // Build the base group + + + var body = buildGroup$1(base, options.havingCrampedStyle()); // Does the accent need to shift for the skew of a character? + + var mustShift = group.isShifty && utils.isCharacterBox(base); // Calculate the skew of the accent. This is based on the line "If the + // nucleus is not a single character, let s = 0; otherwise set s to the + // kern amount for the nucleus followed by the \skewchar of its font." + // Note that our skew metrics are just the kern between each character + // and the skewchar. + + var skew = 0; + + if (mustShift) { + // If the base is a character box, then we want the skew of the + // innermost character. To do that, we find the innermost character: + var baseChar = utils.getBaseElem(base); // Then, we render its group to get the symbol inside it + + var baseGroup = buildGroup$1(baseChar, options.havingCrampedStyle()); // Finally, we pull the skew off of the symbol. + + skew = assertSymbolDomNode(baseGroup).skew; // Note that we now throw away baseGroup, because the layers we + // removed with getBaseElem might contain things like \color which + // we can't get rid of. + // TODO(emily): Find a better way to get the skew + } + + var accentBelow = group.label === "\\c"; // calculate the amount of space between the body and the accent + + var clearance = accentBelow ? body.height + body.depth : Math.min(body.height, options.fontMetrics().xHeight); // Build the accent + + var accentBody; + + if (!group.isStretchy) { + var accent; + var width; + + if (group.label === "\\vec") { + // Before version 0.9, \vec used the combining font glyph U+20D7. + // But browsers, especially Safari, are not consistent in how they + // render combining characters when not preceded by a character. + // So now we use an SVG. + // If Safari reforms, we should consider reverting to the glyph. + accent = buildCommon.staticSvg("vec", options); + width = buildCommon.svgData.vec[1]; + } else { + accent = buildCommon.makeOrd({ + mode: group.mode, + text: group.label + }, options, "textord"); + accent = assertSymbolDomNode(accent); // Remove the italic correction of the accent, because it only serves to + // shift the accent over to a place we don't want. + + accent.italic = 0; + width = accent.width; + + if (accentBelow) { + clearance += accent.depth; + } + } + + accentBody = buildCommon.makeSpan(["accent-body"], [accent]); // "Full" accents expand the width of the resulting symbol to be + // at least the width of the accent, and overlap directly onto the + // character without any vertical offset. + + var accentFull = group.label === "\\textcircled"; + + if (accentFull) { + accentBody.classes.push('accent-full'); + clearance = body.height; + } // Shift the accent over by the skew. + + + var left = skew; // CSS defines `.katex .accent .accent-body:not(.accent-full) { width: 0 }` + // so that the accent doesn't contribute to the bounding box. + // We need to shift the character by its width (effectively half + // its width) to compensate. + + if (!accentFull) { + left -= width / 2; + } + + accentBody.style.left = makeEm(left); // \textcircled uses the \bigcirc glyph, so it needs some + // vertical adjustment to match LaTeX. + + if (group.label === "\\textcircled") { + accentBody.style.top = ".2em"; + } + + accentBody = buildCommon.makeVList({ + positionType: "firstBaseline", + children: [{ + type: "elem", + elem: body + }, { + type: "kern", + size: -clearance + }, { + type: "elem", + elem: accentBody + }] + }, options); + } else { + accentBody = stretchy.svgSpan(group, options); + accentBody = buildCommon.makeVList({ + positionType: "firstBaseline", + children: [{ + type: "elem", + elem: body + }, { + type: "elem", + elem: accentBody, + wrapperClasses: ["svg-align"], + wrapperStyle: skew > 0 ? { + width: "calc(100% - " + makeEm(2 * skew) + ")", + marginLeft: makeEm(2 * skew) + } : undefined + }] + }, options); + } + + var accentWrap = buildCommon.makeSpan(["mord", "accent"], [accentBody], options); + + if (supSubGroup) { + // Here, we replace the "base" child of the supsub with our newly + // generated accent. + supSubGroup.children[0] = accentWrap; // Since we don't rerun the height calculation after replacing the + // accent, we manually recalculate height. + + supSubGroup.height = Math.max(accentWrap.height, supSubGroup.height); // Accents should always be ords, even when their innards are not. + + supSubGroup.classes[0] = "mord"; + return supSubGroup; + } else { + return accentWrap; + } +}; + +var mathmlBuilder$9 = (group, options) => { + var accentNode = group.isStretchy ? stretchy.mathMLnode(group.label) : new mathMLTree.MathNode("mo", [makeText(group.label, group.mode)]); + var node = new mathMLTree.MathNode("mover", [buildGroup(group.base, options), accentNode]); + node.setAttribute("accent", "true"); + return node; +}; + +var NON_STRETCHY_ACCENT_REGEX = new RegExp(["\\acute", "\\grave", "\\ddot", "\\tilde", "\\bar", "\\breve", "\\check", "\\hat", "\\vec", "\\dot", "\\mathring"].map(accent => "\\" + accent).join("|")); // Accents + +defineFunction({ + type: "accent", + names: ["\\acute", "\\grave", "\\ddot", "\\tilde", "\\bar", "\\breve", "\\check", "\\hat", "\\vec", "\\dot", "\\mathring", "\\widecheck", "\\widehat", "\\widetilde", "\\overrightarrow", "\\overleftarrow", "\\Overrightarrow", "\\overleftrightarrow", "\\overgroup", "\\overlinesegment", "\\overleftharpoon", "\\overrightharpoon"], + props: { + numArgs: 1 + }, + handler: (context, args) => { + var base = normalizeArgument(args[0]); + var isStretchy = !NON_STRETCHY_ACCENT_REGEX.test(context.funcName); + var isShifty = !isStretchy || context.funcName === "\\widehat" || context.funcName === "\\widetilde" || context.funcName === "\\widecheck"; + return { + type: "accent", + mode: context.parser.mode, + label: context.funcName, + isStretchy: isStretchy, + isShifty: isShifty, + base: base + }; + }, + htmlBuilder: htmlBuilder$a, + mathmlBuilder: mathmlBuilder$9 +}); // Text-mode accents + +defineFunction({ + type: "accent", + names: ["\\'", "\\`", "\\^", "\\~", "\\=", "\\u", "\\.", '\\"', "\\c", "\\r", "\\H", "\\v", "\\textcircled"], + props: { + numArgs: 1, + allowedInText: true, + allowedInMath: true, + // unless in strict mode + argTypes: ["primitive"] + }, + handler: (context, args) => { + var base = args[0]; + var mode = context.parser.mode; + + if (mode === "math") { + context.parser.settings.reportNonstrict("mathVsTextAccents", "LaTeX's accent " + context.funcName + " works only in text mode"); + mode = "text"; + } + + return { + type: "accent", + mode: mode, + label: context.funcName, + isStretchy: false, + isShifty: true, + base: base + }; + }, + htmlBuilder: htmlBuilder$a, + mathmlBuilder: mathmlBuilder$9 +}); + +// Horizontal overlap functions +defineFunction({ + type: "accentUnder", + names: ["\\underleftarrow", "\\underrightarrow", "\\underleftrightarrow", "\\undergroup", "\\underlinesegment", "\\utilde"], + props: { + numArgs: 1 + }, + handler: (_ref, args) => { + var { + parser, + funcName + } = _ref; + var base = args[0]; + return { + type: "accentUnder", + mode: parser.mode, + label: funcName, + base: base + }; + }, + htmlBuilder: (group, options) => { + // Treat under accents much like underlines. + var innerGroup = buildGroup$1(group.base, options); + var accentBody = stretchy.svgSpan(group, options); + var kern = group.label === "\\utilde" ? 0.12 : 0; // Generate the vlist, with the appropriate kerns + + var vlist = buildCommon.makeVList({ + positionType: "top", + positionData: innerGroup.height, + children: [{ + type: "elem", + elem: accentBody, + wrapperClasses: ["svg-align"] + }, { + type: "kern", + size: kern + }, { + type: "elem", + elem: innerGroup + }] + }, options); + return buildCommon.makeSpan(["mord", "accentunder"], [vlist], options); + }, + mathmlBuilder: (group, options) => { + var accentNode = stretchy.mathMLnode(group.label); + var node = new mathMLTree.MathNode("munder", [buildGroup(group.base, options), accentNode]); + node.setAttribute("accentunder", "true"); + return node; + } +}); + +// Helper function +var paddedNode = group => { + var node = new mathMLTree.MathNode("mpadded", group ? [group] : []); + node.setAttribute("width", "+0.6em"); + node.setAttribute("lspace", "0.3em"); + return node; +}; // Stretchy arrows with an optional argument + + +defineFunction({ + type: "xArrow", + names: ["\\xleftarrow", "\\xrightarrow", "\\xLeftarrow", "\\xRightarrow", "\\xleftrightarrow", "\\xLeftrightarrow", "\\xhookleftarrow", "\\xhookrightarrow", "\\xmapsto", "\\xrightharpoondown", "\\xrightharpoonup", "\\xleftharpoondown", "\\xleftharpoonup", "\\xrightleftharpoons", "\\xleftrightharpoons", "\\xlongequal", "\\xtwoheadrightarrow", "\\xtwoheadleftarrow", "\\xtofrom", // The next 3 functions are here to support the mhchem extension. + // Direct use of these functions is discouraged and may break someday. + "\\xrightleftarrows", "\\xrightequilibrium", "\\xleftequilibrium", // The next 3 functions are here only to support the {CD} environment. + "\\\\cdrightarrow", "\\\\cdleftarrow", "\\\\cdlongequal"], + props: { + numArgs: 1, + numOptionalArgs: 1 + }, + + handler(_ref, args, optArgs) { + var { + parser, + funcName + } = _ref; + return { + type: "xArrow", + mode: parser.mode, + label: funcName, + body: args[0], + below: optArgs[0] + }; + }, + + // Flow is unable to correctly infer the type of `group`, even though it's + // unamibiguously determined from the passed-in `type` above. + htmlBuilder(group, options) { + var style = options.style; // Build the argument groups in the appropriate style. + // Ref: amsmath.dtx: \hbox{$\scriptstyle\mkern#3mu{#6}\mkern#4mu$}% + // Some groups can return document fragments. Handle those by wrapping + // them in a span. + + var newOptions = options.havingStyle(style.sup()); + var upperGroup = buildCommon.wrapFragment(buildGroup$1(group.body, newOptions, options), options); + var arrowPrefix = group.label.slice(0, 2) === "\\x" ? "x" : "cd"; + upperGroup.classes.push(arrowPrefix + "-arrow-pad"); + var lowerGroup; + + if (group.below) { + // Build the lower group + newOptions = options.havingStyle(style.sub()); + lowerGroup = buildCommon.wrapFragment(buildGroup$1(group.below, newOptions, options), options); + lowerGroup.classes.push(arrowPrefix + "-arrow-pad"); + } + + var arrowBody = stretchy.svgSpan(group, options); // Re shift: Note that stretchy.svgSpan returned arrowBody.depth = 0. + // The point we want on the math axis is at 0.5 * arrowBody.height. + + var arrowShift = -options.fontMetrics().axisHeight + 0.5 * arrowBody.height; // 2 mu kern. Ref: amsmath.dtx: #7\if0#2\else\mkern#2mu\fi + + var upperShift = -options.fontMetrics().axisHeight - 0.5 * arrowBody.height - 0.111; // 0.111 em = 2 mu + + if (upperGroup.depth > 0.25 || group.label === "\\xleftequilibrium") { + upperShift -= upperGroup.depth; // shift up if depth encroaches + } // Generate the vlist + + + var vlist; + + if (lowerGroup) { + var lowerShift = -options.fontMetrics().axisHeight + lowerGroup.height + 0.5 * arrowBody.height + 0.111; + vlist = buildCommon.makeVList({ + positionType: "individualShift", + children: [{ + type: "elem", + elem: upperGroup, + shift: upperShift + }, { + type: "elem", + elem: arrowBody, + shift: arrowShift + }, { + type: "elem", + elem: lowerGroup, + shift: lowerShift + }] + }, options); + } else { + vlist = buildCommon.makeVList({ + positionType: "individualShift", + children: [{ + type: "elem", + elem: upperGroup, + shift: upperShift + }, { + type: "elem", + elem: arrowBody, + shift: arrowShift + }] + }, options); + } // $FlowFixMe: Replace this with passing "svg-align" into makeVList. + + + vlist.children[0].children[0].children[1].classes.push("svg-align"); + return buildCommon.makeSpan(["mrel", "x-arrow"], [vlist], options); + }, + + mathmlBuilder(group, options) { + var arrowNode = stretchy.mathMLnode(group.label); + arrowNode.setAttribute("minsize", group.label.charAt(0) === "x" ? "1.75em" : "3.0em"); + var node; + + if (group.body) { + var upperNode = paddedNode(buildGroup(group.body, options)); + + if (group.below) { + var lowerNode = paddedNode(buildGroup(group.below, options)); + node = new mathMLTree.MathNode("munderover", [arrowNode, lowerNode, upperNode]); + } else { + node = new mathMLTree.MathNode("mover", [arrowNode, upperNode]); + } + } else if (group.below) { + var _lowerNode = paddedNode(buildGroup(group.below, options)); + + node = new mathMLTree.MathNode("munder", [arrowNode, _lowerNode]); + } else { + // This should never happen. + // Parser.js throws an error if there is no argument. + node = paddedNode(); + node = new mathMLTree.MathNode("mover", [arrowNode, node]); + } + + return node; + } + +}); + +var makeSpan = buildCommon.makeSpan; + +function htmlBuilder$9(group, options) { + var elements = buildExpression$1(group.body, options, true); + return makeSpan([group.mclass], elements, options); +} + +function mathmlBuilder$8(group, options) { + var node; + var inner = buildExpression(group.body, options); + + if (group.mclass === "minner") { + node = new mathMLTree.MathNode("mpadded", inner); + } else if (group.mclass === "mord") { + if (group.isCharacterBox) { + node = inner[0]; + node.type = "mi"; + } else { + node = new mathMLTree.MathNode("mi", inner); + } + } else { + if (group.isCharacterBox) { + node = inner[0]; + node.type = "mo"; + } else { + node = new mathMLTree.MathNode("mo", inner); + } // Set spacing based on what is the most likely adjacent atom type. + // See TeXbook p170. + + + if (group.mclass === "mbin") { + node.attributes.lspace = "0.22em"; // medium space + + node.attributes.rspace = "0.22em"; + } else if (group.mclass === "mpunct") { + node.attributes.lspace = "0em"; + node.attributes.rspace = "0.17em"; // thinspace + } else if (group.mclass === "mopen" || group.mclass === "mclose") { + node.attributes.lspace = "0em"; + node.attributes.rspace = "0em"; + } else if (group.mclass === "minner") { + node.attributes.lspace = "0.0556em"; // 1 mu is the most likely option + + node.attributes.width = "+0.1111em"; + } // MathML default space is 5/18 em, so needs no action. + // Ref: https://developer.mozilla.org/en-US/docs/Web/MathML/Element/mo + + } + + return node; +} // Math class commands except \mathop + + +defineFunction({ + type: "mclass", + names: ["\\mathord", "\\mathbin", "\\mathrel", "\\mathopen", "\\mathclose", "\\mathpunct", "\\mathinner"], + props: { + numArgs: 1, + primitive: true + }, + + handler(_ref, args) { + var { + parser, + funcName + } = _ref; + var body = args[0]; + return { + type: "mclass", + mode: parser.mode, + mclass: "m" + funcName.slice(5), + // TODO(kevinb): don't prefix with 'm' + body: ordargument(body), + isCharacterBox: utils.isCharacterBox(body) + }; + }, + + htmlBuilder: htmlBuilder$9, + mathmlBuilder: mathmlBuilder$8 +}); +var binrelClass = arg => { + // \binrel@ spacing varies with (bin|rel|ord) of the atom in the argument. + // (by rendering separately and with {}s before and after, and measuring + // the change in spacing). We'll do roughly the same by detecting the + // atom type directly. + var atom = arg.type === "ordgroup" && arg.body.length ? arg.body[0] : arg; + + if (atom.type === "atom" && (atom.family === "bin" || atom.family === "rel")) { + return "m" + atom.family; + } else { + return "mord"; + } +}; // \@binrel{x}{y} renders like y but as mbin/mrel/mord if x is mbin/mrel/mord. +// This is equivalent to \binrel@{x}\binrel@@{y} in AMSTeX. + +defineFunction({ + type: "mclass", + names: ["\\@binrel"], + props: { + numArgs: 2 + }, + + handler(_ref2, args) { + var { + parser + } = _ref2; + return { + type: "mclass", + mode: parser.mode, + mclass: binrelClass(args[0]), + body: ordargument(args[1]), + isCharacterBox: utils.isCharacterBox(args[1]) + }; + } + +}); // Build a relation or stacked op by placing one symbol on top of another + +defineFunction({ + type: "mclass", + names: ["\\stackrel", "\\overset", "\\underset"], + props: { + numArgs: 2 + }, + + handler(_ref3, args) { + var { + parser, + funcName + } = _ref3; + var baseArg = args[1]; + var shiftedArg = args[0]; + var mclass; + + if (funcName !== "\\stackrel") { + // LaTeX applies \binrel spacing to \overset and \underset. + mclass = binrelClass(baseArg); + } else { + mclass = "mrel"; // for \stackrel + } + + var baseOp = { + type: "op", + mode: baseArg.mode, + limits: true, + alwaysHandleSupSub: true, + parentIsSupSub: false, + symbol: false, + suppressBaseShift: funcName !== "\\stackrel", + body: ordargument(baseArg) + }; + var supsub = { + type: "supsub", + mode: shiftedArg.mode, + base: baseOp, + sup: funcName === "\\underset" ? null : shiftedArg, + sub: funcName === "\\underset" ? shiftedArg : null + }; + return { + type: "mclass", + mode: parser.mode, + mclass, + body: [supsub], + isCharacterBox: utils.isCharacterBox(supsub) + }; + }, + + htmlBuilder: htmlBuilder$9, + mathmlBuilder: mathmlBuilder$8 +}); + +// \pmb is a simulation of bold font. +// The version of \pmb in ambsy.sty works by typesetting three copies +// with small offsets. We use CSS text-shadow. +// It's a hack. Not as good as a real bold font. Better than nothing. +defineFunction({ + type: "pmb", + names: ["\\pmb"], + props: { + numArgs: 1, + allowedInText: true + }, + + handler(_ref, args) { + var { + parser + } = _ref; + return { + type: "pmb", + mode: parser.mode, + mclass: binrelClass(args[0]), + body: ordargument(args[0]) + }; + }, + + htmlBuilder(group, options) { + var elements = buildExpression$1(group.body, options, true); + var node = buildCommon.makeSpan([group.mclass], elements, options); + node.style.textShadow = "0.02em 0.01em 0.04px"; + return node; + }, + + mathmlBuilder(group, style) { + var inner = buildExpression(group.body, style); // Wrap with an element. + + var node = new mathMLTree.MathNode("mstyle", inner); + node.setAttribute("style", "text-shadow: 0.02em 0.01em 0.04px"); + return node; + } + +}); + +var cdArrowFunctionName = { + ">": "\\\\cdrightarrow", + "<": "\\\\cdleftarrow", + "=": "\\\\cdlongequal", + "A": "\\uparrow", + "V": "\\downarrow", + "|": "\\Vert", + ".": "no arrow" +}; + +var newCell = () => { + // Create an empty cell, to be filled below with parse nodes. + // The parseTree from this module must be constructed like the + // one created by parseArray(), so an empty CD cell must + // be a ParseNode<"styling">. And CD is always displaystyle. + // So these values are fixed and flow can do implicit typing. + return { + type: "styling", + body: [], + mode: "math", + style: "display" + }; +}; + +var isStartOfArrow = node => { + return node.type === "textord" && node.text === "@"; +}; + +var isLabelEnd = (node, endChar) => { + return (node.type === "mathord" || node.type === "atom") && node.text === endChar; +}; + +function cdArrow(arrowChar, labels, parser) { + // Return a parse tree of an arrow and its labels. + // This acts in a way similar to a macro expansion. + var funcName = cdArrowFunctionName[arrowChar]; + + switch (funcName) { + case "\\\\cdrightarrow": + case "\\\\cdleftarrow": + return parser.callFunction(funcName, [labels[0]], [labels[1]]); + + case "\\uparrow": + case "\\downarrow": + { + var leftLabel = parser.callFunction("\\\\cdleft", [labels[0]], []); + var bareArrow = { + type: "atom", + text: funcName, + mode: "math", + family: "rel" + }; + var sizedArrow = parser.callFunction("\\Big", [bareArrow], []); + var rightLabel = parser.callFunction("\\\\cdright", [labels[1]], []); + var arrowGroup = { + type: "ordgroup", + mode: "math", + body: [leftLabel, sizedArrow, rightLabel] + }; + return parser.callFunction("\\\\cdparent", [arrowGroup], []); + } + + case "\\\\cdlongequal": + return parser.callFunction("\\\\cdlongequal", [], []); + + case "\\Vert": + { + var arrow = { + type: "textord", + text: "\\Vert", + mode: "math" + }; + return parser.callFunction("\\Big", [arrow], []); + } + + default: + return { + type: "textord", + text: " ", + mode: "math" + }; + } +} + +function parseCD(parser) { + // Get the array's parse nodes with \\ temporarily mapped to \cr. + var parsedRows = []; + parser.gullet.beginGroup(); + parser.gullet.macros.set("\\cr", "\\\\\\relax"); + parser.gullet.beginGroup(); + + while (true) { + // eslint-disable-line no-constant-condition + // Get the parse nodes for the next row. + parsedRows.push(parser.parseExpression(false, "\\\\")); + parser.gullet.endGroup(); + parser.gullet.beginGroup(); + var next = parser.fetch().text; + + if (next === "&" || next === "\\\\") { + parser.consume(); + } else if (next === "\\end") { + if (parsedRows[parsedRows.length - 1].length === 0) { + parsedRows.pop(); // final row ended in \\ + } + + break; + } else { + throw new ParseError("Expected \\\\ or \\cr or \\end", parser.nextToken); + } + } + + var row = []; + var body = [row]; // Loop thru the parse nodes. Collect them into cells and arrows. + + for (var i = 0; i < parsedRows.length; i++) { + // Start a new row. + var rowNodes = parsedRows[i]; // Create the first cell. + + var cell = newCell(); + + for (var j = 0; j < rowNodes.length; j++) { + if (!isStartOfArrow(rowNodes[j])) { + // If a parseNode is not an arrow, it goes into a cell. + cell.body.push(rowNodes[j]); + } else { + // Parse node j is an "@", the start of an arrow. + // Before starting on the arrow, push the cell into `row`. + row.push(cell); // Now collect parseNodes into an arrow. + // The character after "@" defines the arrow type. + + j += 1; + var arrowChar = assertSymbolNodeType(rowNodes[j]).text; // Create two empty label nodes. We may or may not use them. + + var labels = new Array(2); + labels[0] = { + type: "ordgroup", + mode: "math", + body: [] + }; + labels[1] = { + type: "ordgroup", + mode: "math", + body: [] + }; // Process the arrow. + + if ("=|.".indexOf(arrowChar) > -1) ; else if ("<>AV".indexOf(arrowChar) > -1) { + // Four arrows, `@>>>`, `@<<<`, `@AAA`, and `@VVV`, each take + // two optional labels. E.g. the right-point arrow syntax is + // really: @>{optional label}>{optional label}> + // Collect parseNodes into labels. + for (var labelNum = 0; labelNum < 2; labelNum++) { + var inLabel = true; + + for (var k = j + 1; k < rowNodes.length; k++) { + if (isLabelEnd(rowNodes[k], arrowChar)) { + inLabel = false; + j = k; + break; + } + + if (isStartOfArrow(rowNodes[k])) { + throw new ParseError("Missing a " + arrowChar + " character to complete a CD arrow.", rowNodes[k]); + } + + labels[labelNum].body.push(rowNodes[k]); + } + + if (inLabel) { + // isLabelEnd never returned a true. + throw new ParseError("Missing a " + arrowChar + " character to complete a CD arrow.", rowNodes[j]); + } + } + } else { + throw new ParseError("Expected one of \"<>AV=|.\" after @", rowNodes[j]); + } // Now join the arrow to its labels. + + + var arrow = cdArrow(arrowChar, labels, parser); // Wrap the arrow in ParseNode<"styling">. + // This is done to match parseArray() behavior. + + var wrappedArrow = { + type: "styling", + body: [arrow], + mode: "math", + style: "display" // CD is always displaystyle. + + }; + row.push(wrappedArrow); // In CD's syntax, cells are implicit. That is, everything that + // is not an arrow gets collected into a cell. So create an empty + // cell now. It will collect upcoming parseNodes. + + cell = newCell(); + } + } + + if (i % 2 === 0) { + // Even-numbered rows consist of: cell, arrow, cell, arrow, ... cell + // The last cell is not yet pushed into `row`, so: + row.push(cell); + } else { + // Odd-numbered rows consist of: vert arrow, empty cell, ... vert arrow + // Remove the empty cell that was placed at the beginning of `row`. + row.shift(); + } + + row = []; + body.push(row); + } // End row group + + + parser.gullet.endGroup(); // End array group defining \\ + + parser.gullet.endGroup(); // define column separation. + + var cols = new Array(body[0].length).fill({ + type: "align", + align: "c", + pregap: 0.25, + // CD package sets \enskip between columns. + postgap: 0.25 // So pre and post each get half an \enskip, i.e. 0.25em. + + }); + return { + type: "array", + mode: "math", + body, + arraystretch: 1, + addJot: true, + rowGaps: [null], + cols, + colSeparationType: "CD", + hLinesBeforeRow: new Array(body.length + 1).fill([]) + }; +} // The functions below are not available for general use. +// They are here only for internal use by the {CD} environment in placing labels +// next to vertical arrows. +// We don't need any such functions for horizontal arrows because we can reuse +// the functionality that already exists for extensible arrows. + +defineFunction({ + type: "cdlabel", + names: ["\\\\cdleft", "\\\\cdright"], + props: { + numArgs: 1 + }, + + handler(_ref, args) { + var { + parser, + funcName + } = _ref; + return { + type: "cdlabel", + mode: parser.mode, + side: funcName.slice(4), + label: args[0] + }; + }, + + htmlBuilder(group, options) { + var newOptions = options.havingStyle(options.style.sup()); + var label = buildCommon.wrapFragment(buildGroup$1(group.label, newOptions, options), options); + label.classes.push("cd-label-" + group.side); + label.style.bottom = makeEm(0.8 - label.depth); // Zero out label height & depth, so vertical align of arrow is set + // by the arrow height, not by the label. + + label.height = 0; + label.depth = 0; + return label; + }, + + mathmlBuilder(group, options) { + var label = new mathMLTree.MathNode("mrow", [buildGroup(group.label, options)]); + label = new mathMLTree.MathNode("mpadded", [label]); + label.setAttribute("width", "0"); + + if (group.side === "left") { + label.setAttribute("lspace", "-1width"); + } // We have to guess at vertical alignment. We know the arrow is 1.8em tall, + // But we don't know the height or depth of the label. + + + label.setAttribute("voffset", "0.7em"); + label = new mathMLTree.MathNode("mstyle", [label]); + label.setAttribute("displaystyle", "false"); + label.setAttribute("scriptlevel", "1"); + return label; + } + +}); +defineFunction({ + type: "cdlabelparent", + names: ["\\\\cdparent"], + props: { + numArgs: 1 + }, + + handler(_ref2, args) { + var { + parser + } = _ref2; + return { + type: "cdlabelparent", + mode: parser.mode, + fragment: args[0] + }; + }, + + htmlBuilder(group, options) { + // Wrap the vertical arrow and its labels. + // The parent gets position: relative. The child gets position: absolute. + // So CSS can locate the label correctly. + var parent = buildCommon.wrapFragment(buildGroup$1(group.fragment, options), options); + parent.classes.push("cd-vert-arrow"); + return parent; + }, + + mathmlBuilder(group, options) { + return new mathMLTree.MathNode("mrow", [buildGroup(group.fragment, options)]); + } + +}); + +// {123} and converts into symbol with code 123. It is used by the *macro* +// \char defined in macros.js. + +defineFunction({ + type: "textord", + names: ["\\@char"], + props: { + numArgs: 1, + allowedInText: true + }, + + handler(_ref, args) { + var { + parser + } = _ref; + var arg = assertNodeType(args[0], "ordgroup"); + var group = arg.body; + var number = ""; + + for (var i = 0; i < group.length; i++) { + var node = assertNodeType(group[i], "textord"); + number += node.text; + } + + var code = parseInt(number); + var text; + + if (isNaN(code)) { + throw new ParseError("\\@char has non-numeric argument " + number); // If we drop IE support, the following code could be replaced with + // text = String.fromCodePoint(code) + } else if (code < 0 || code >= 0x10ffff) { + throw new ParseError("\\@char with invalid code point " + number); + } else if (code <= 0xffff) { + text = String.fromCharCode(code); + } else { + // Astral code point; split into surrogate halves + code -= 0x10000; + text = String.fromCharCode((code >> 10) + 0xd800, (code & 0x3ff) + 0xdc00); + } + + return { + type: "textord", + mode: parser.mode, + text: text + }; + } + +}); + +var htmlBuilder$8 = (group, options) => { + var elements = buildExpression$1(group.body, options.withColor(group.color), false); // \color isn't supposed to affect the type of the elements it contains. + // To accomplish this, we wrap the results in a fragment, so the inner + // elements will be able to directly interact with their neighbors. For + // example, `\color{red}{2 +} 3` has the same spacing as `2 + 3` + + return buildCommon.makeFragment(elements); +}; + +var mathmlBuilder$7 = (group, options) => { + var inner = buildExpression(group.body, options.withColor(group.color)); + var node = new mathMLTree.MathNode("mstyle", inner); + node.setAttribute("mathcolor", group.color); + return node; +}; + +defineFunction({ + type: "color", + names: ["\\textcolor"], + props: { + numArgs: 2, + allowedInText: true, + argTypes: ["color", "original"] + }, + + handler(_ref, args) { + var { + parser + } = _ref; + var color = assertNodeType(args[0], "color-token").color; + var body = args[1]; + return { + type: "color", + mode: parser.mode, + color, + body: ordargument(body) + }; + }, + + htmlBuilder: htmlBuilder$8, + mathmlBuilder: mathmlBuilder$7 +}); +defineFunction({ + type: "color", + names: ["\\color"], + props: { + numArgs: 1, + allowedInText: true, + argTypes: ["color"] + }, + + handler(_ref2, args) { + var { + parser, + breakOnTokenText + } = _ref2; + var color = assertNodeType(args[0], "color-token").color; // Set macro \current@color in current namespace to store the current + // color, mimicking the behavior of color.sty. + // This is currently used just to correctly color a \right + // that follows a \color command. + + parser.gullet.macros.set("\\current@color", color); // Parse out the implicit body that should be colored. + + var body = parser.parseExpression(true, breakOnTokenText); + return { + type: "color", + mode: parser.mode, + color, + body + }; + }, + + htmlBuilder: htmlBuilder$8, + mathmlBuilder: mathmlBuilder$7 +}); + +// Row breaks within tabular environments, and line breaks at top level + +defineFunction({ + type: "cr", + names: ["\\\\"], + props: { + numArgs: 0, + numOptionalArgs: 0, + allowedInText: true + }, + + handler(_ref, args, optArgs) { + var { + parser + } = _ref; + var size = parser.gullet.future().text === "[" ? parser.parseSizeGroup(true) : null; + var newLine = !parser.settings.displayMode || !parser.settings.useStrictBehavior("newLineInDisplayMode", "In LaTeX, \\\\ or \\newline " + "does nothing in display mode"); + return { + type: "cr", + mode: parser.mode, + newLine, + size: size && assertNodeType(size, "size").value + }; + }, + + // The following builders are called only at the top level, + // not within tabular/array environments. + htmlBuilder(group, options) { + var span = buildCommon.makeSpan(["mspace"], [], options); + + if (group.newLine) { + span.classes.push("newline"); + + if (group.size) { + span.style.marginTop = makeEm(calculateSize(group.size, options)); + } + } + + return span; + }, + + mathmlBuilder(group, options) { + var node = new mathMLTree.MathNode("mspace"); + + if (group.newLine) { + node.setAttribute("linebreak", "newline"); + + if (group.size) { + node.setAttribute("height", makeEm(calculateSize(group.size, options))); + } + } + + return node; + } + +}); + +var globalMap = { + "\\global": "\\global", + "\\long": "\\\\globallong", + "\\\\globallong": "\\\\globallong", + "\\def": "\\gdef", + "\\gdef": "\\gdef", + "\\edef": "\\xdef", + "\\xdef": "\\xdef", + "\\let": "\\\\globallet", + "\\futurelet": "\\\\globalfuture" +}; + +var checkControlSequence = tok => { + var name = tok.text; + + if (/^(?:[\\{}$&#^_]|EOF)$/.test(name)) { + throw new ParseError("Expected a control sequence", tok); + } + + return name; +}; + +var getRHS = parser => { + var tok = parser.gullet.popToken(); + + if (tok.text === "=") { + // consume optional equals + tok = parser.gullet.popToken(); + + if (tok.text === " ") { + // consume one optional space + tok = parser.gullet.popToken(); + } + } + + return tok; +}; + +var letCommand = (parser, name, tok, global) => { + var macro = parser.gullet.macros.get(tok.text); + + if (macro == null) { + // don't expand it later even if a macro with the same name is defined + // e.g., \let\foo=\frac \def\frac{\relax} \frac12 + tok.noexpand = true; + macro = { + tokens: [tok], + numArgs: 0, + // reproduce the same behavior in expansion + unexpandable: !parser.gullet.isExpandable(tok.text) + }; + } + + parser.gullet.macros.set(name, macro, global); +}; // -> | +// -> |\global +// -> | +// -> \global|\long|\outer + + +defineFunction({ + type: "internal", + names: ["\\global", "\\long", "\\\\globallong" // can’t be entered directly + ], + props: { + numArgs: 0, + allowedInText: true + }, + + handler(_ref) { + var { + parser, + funcName + } = _ref; + parser.consumeSpaces(); + var token = parser.fetch(); + + if (globalMap[token.text]) { + // KaTeX doesn't have \par, so ignore \long + if (funcName === "\\global" || funcName === "\\\\globallong") { + token.text = globalMap[token.text]; + } + + return assertNodeType(parser.parseFunction(), "internal"); + } + + throw new ParseError("Invalid token after macro prefix", token); + } + +}); // Basic support for macro definitions: \def, \gdef, \edef, \xdef +// -> +// -> \def|\gdef|\edef|\xdef +// -> + +defineFunction({ + type: "internal", + names: ["\\def", "\\gdef", "\\edef", "\\xdef"], + props: { + numArgs: 0, + allowedInText: true, + primitive: true + }, + + handler(_ref2) { + var { + parser, + funcName + } = _ref2; + var tok = parser.gullet.popToken(); + var name = tok.text; + + if (/^(?:[\\{}$&#^_]|EOF)$/.test(name)) { + throw new ParseError("Expected a control sequence", tok); + } + + var numArgs = 0; + var insert; + var delimiters = [[]]; // contains no braces + + while (parser.gullet.future().text !== "{") { + tok = parser.gullet.popToken(); + + if (tok.text === "#") { + // If the very last character of the is #, so that + // this # is immediately followed by {, TeX will behave as if the { + // had been inserted at the right end of both the parameter text + // and the replacement text. + if (parser.gullet.future().text === "{") { + insert = parser.gullet.future(); + delimiters[numArgs].push("{"); + break; + } // A parameter, the first appearance of # must be followed by 1, + // the next by 2, and so on; up to nine #’s are allowed + + + tok = parser.gullet.popToken(); + + if (!/^[1-9]$/.test(tok.text)) { + throw new ParseError("Invalid argument number \"" + tok.text + "\""); + } + + if (parseInt(tok.text) !== numArgs + 1) { + throw new ParseError("Argument number \"" + tok.text + "\" out of order"); + } + + numArgs++; + delimiters.push([]); + } else if (tok.text === "EOF") { + throw new ParseError("Expected a macro definition"); + } else { + delimiters[numArgs].push(tok.text); + } + } // replacement text, enclosed in '{' and '}' and properly nested + + + var { + tokens + } = parser.gullet.consumeArg(); + + if (insert) { + tokens.unshift(insert); + } + + if (funcName === "\\edef" || funcName === "\\xdef") { + tokens = parser.gullet.expandTokens(tokens); + tokens.reverse(); // to fit in with stack order + } // Final arg is the expansion of the macro + + + parser.gullet.macros.set(name, { + tokens, + numArgs, + delimiters + }, funcName === globalMap[funcName]); + return { + type: "internal", + mode: parser.mode + }; + } + +}); // -> +// -> \futurelet +// | \let +// -> |= + +defineFunction({ + type: "internal", + names: ["\\let", "\\\\globallet" // can’t be entered directly + ], + props: { + numArgs: 0, + allowedInText: true, + primitive: true + }, + + handler(_ref3) { + var { + parser, + funcName + } = _ref3; + var name = checkControlSequence(parser.gullet.popToken()); + parser.gullet.consumeSpaces(); + var tok = getRHS(parser); + letCommand(parser, name, tok, funcName === "\\\\globallet"); + return { + type: "internal", + mode: parser.mode + }; + } + +}); // ref: https://www.tug.org/TUGboat/tb09-3/tb22bechtolsheim.pdf + +defineFunction({ + type: "internal", + names: ["\\futurelet", "\\\\globalfuture" // can’t be entered directly + ], + props: { + numArgs: 0, + allowedInText: true, + primitive: true + }, + + handler(_ref4) { + var { + parser, + funcName + } = _ref4; + var name = checkControlSequence(parser.gullet.popToken()); + var middle = parser.gullet.popToken(); + var tok = parser.gullet.popToken(); + letCommand(parser, name, tok, funcName === "\\\\globalfuture"); + parser.gullet.pushToken(tok); + parser.gullet.pushToken(middle); + return { + type: "internal", + mode: parser.mode + }; + } + +}); + +/** + * This file deals with creating delimiters of various sizes. The TeXbook + * discusses these routines on page 441-442, in the "Another subroutine sets box + * x to a specified variable delimiter" paragraph. + * + * There are three main routines here. `makeSmallDelim` makes a delimiter in the + * normal font, but in either text, script, or scriptscript style. + * `makeLargeDelim` makes a delimiter in textstyle, but in one of the Size1, + * Size2, Size3, or Size4 fonts. `makeStackedDelim` makes a delimiter out of + * smaller pieces that are stacked on top of one another. + * + * The functions take a parameter `center`, which determines if the delimiter + * should be centered around the axis. + * + * Then, there are three exposed functions. `sizedDelim` makes a delimiter in + * one of the given sizes. This is used for things like `\bigl`. + * `customSizedDelim` makes a delimiter with a given total height+depth. It is + * called in places like `\sqrt`. `leftRightDelim` makes an appropriate + * delimiter which surrounds an expression of a given height an depth. It is + * used in `\left` and `\right`. + */ + +/** + * Get the metrics for a given symbol and font, after transformation (i.e. + * after following replacement from symbols.js) + */ +var getMetrics = function getMetrics(symbol, font, mode) { + var replace = symbols.math[symbol] && symbols.math[symbol].replace; + var metrics = getCharacterMetrics(replace || symbol, font, mode); + + if (!metrics) { + throw new Error("Unsupported symbol " + symbol + " and font size " + font + "."); + } + + return metrics; +}; +/** + * Puts a delimiter span in a given style, and adds appropriate height, depth, + * and maxFontSizes. + */ + + +var styleWrap = function styleWrap(delim, toStyle, options, classes) { + var newOptions = options.havingBaseStyle(toStyle); + var span = buildCommon.makeSpan(classes.concat(newOptions.sizingClasses(options)), [delim], options); + var delimSizeMultiplier = newOptions.sizeMultiplier / options.sizeMultiplier; + span.height *= delimSizeMultiplier; + span.depth *= delimSizeMultiplier; + span.maxFontSize = newOptions.sizeMultiplier; + return span; +}; + +var centerSpan = function centerSpan(span, options, style) { + var newOptions = options.havingBaseStyle(style); + var shift = (1 - options.sizeMultiplier / newOptions.sizeMultiplier) * options.fontMetrics().axisHeight; + span.classes.push("delimcenter"); + span.style.top = makeEm(shift); + span.height -= shift; + span.depth += shift; +}; +/** + * Makes a small delimiter. This is a delimiter that comes in the Main-Regular + * font, but is restyled to either be in textstyle, scriptstyle, or + * scriptscriptstyle. + */ + + +var makeSmallDelim = function makeSmallDelim(delim, style, center, options, mode, classes) { + var text = buildCommon.makeSymbol(delim, "Main-Regular", mode, options); + var span = styleWrap(text, style, options, classes); + + if (center) { + centerSpan(span, options, style); + } + + return span; +}; +/** + * Builds a symbol in the given font size (note size is an integer) + */ + + +var mathrmSize = function mathrmSize(value, size, mode, options) { + return buildCommon.makeSymbol(value, "Size" + size + "-Regular", mode, options); +}; +/** + * Makes a large delimiter. This is a delimiter that comes in the Size1, Size2, + * Size3, or Size4 fonts. It is always rendered in textstyle. + */ + + +var makeLargeDelim = function makeLargeDelim(delim, size, center, options, mode, classes) { + var inner = mathrmSize(delim, size, mode, options); + var span = styleWrap(buildCommon.makeSpan(["delimsizing", "size" + size], [inner], options), Style$1.TEXT, options, classes); + + if (center) { + centerSpan(span, options, Style$1.TEXT); + } + + return span; +}; +/** + * Make a span from a font glyph with the given offset and in the given font. + * This is used in makeStackedDelim to make the stacking pieces for the delimiter. + */ + + +var makeGlyphSpan = function makeGlyphSpan(symbol, font, mode) { + var sizeClass; // Apply the correct CSS class to choose the right font. + + if (font === "Size1-Regular") { + sizeClass = "delim-size1"; + } else + /* if (font === "Size4-Regular") */ + { + sizeClass = "delim-size4"; + } + + var corner = buildCommon.makeSpan(["delimsizinginner", sizeClass], [buildCommon.makeSpan([], [buildCommon.makeSymbol(symbol, font, mode)])]); // Since this will be passed into `makeVList` in the end, wrap the element + // in the appropriate tag that VList uses. + + return { + type: "elem", + elem: corner + }; +}; + +var makeInner = function makeInner(ch, height, options) { + // Create a span with inline SVG for the inner part of a tall stacked delimiter. + var width = fontMetricsData['Size4-Regular'][ch.charCodeAt(0)] ? fontMetricsData['Size4-Regular'][ch.charCodeAt(0)][4] : fontMetricsData['Size1-Regular'][ch.charCodeAt(0)][4]; + var path = new PathNode("inner", innerPath(ch, Math.round(1000 * height))); + var svgNode = new SvgNode([path], { + "width": makeEm(width), + "height": makeEm(height), + // Override CSS rule `.katex svg { width: 100% }` + "style": "width:" + makeEm(width), + "viewBox": "0 0 " + 1000 * width + " " + Math.round(1000 * height), + "preserveAspectRatio": "xMinYMin" + }); + var span = buildCommon.makeSvgSpan([], [svgNode], options); + span.height = height; + span.style.height = makeEm(height); + span.style.width = makeEm(width); + return { + type: "elem", + elem: span + }; +}; // Helpers for makeStackedDelim + + +var lapInEms = 0.008; +var lap = { + type: "kern", + size: -1 * lapInEms +}; +var verts = ["|", "\\lvert", "\\rvert", "\\vert"]; +var doubleVerts = ["\\|", "\\lVert", "\\rVert", "\\Vert"]; +/** + * Make a stacked delimiter out of a given delimiter, with the total height at + * least `heightTotal`. This routine is mentioned on page 442 of the TeXbook. + */ + +var makeStackedDelim = function makeStackedDelim(delim, heightTotal, center, options, mode, classes) { + // There are four parts, the top, an optional middle, a repeated part, and a + // bottom. + var top; + var middle; + var repeat; + var bottom; + var svgLabel = ""; + var viewBoxWidth = 0; + top = repeat = bottom = delim; + middle = null; // Also keep track of what font the delimiters are in + + var font = "Size1-Regular"; // We set the parts and font based on the symbol. Note that we use + // '\u23d0' instead of '|' and '\u2016' instead of '\\|' for the + // repeats of the arrows + + if (delim === "\\uparrow") { + repeat = bottom = "\u23d0"; + } else if (delim === "\\Uparrow") { + repeat = bottom = "\u2016"; + } else if (delim === "\\downarrow") { + top = repeat = "\u23d0"; + } else if (delim === "\\Downarrow") { + top = repeat = "\u2016"; + } else if (delim === "\\updownarrow") { + top = "\\uparrow"; + repeat = "\u23d0"; + bottom = "\\downarrow"; + } else if (delim === "\\Updownarrow") { + top = "\\Uparrow"; + repeat = "\u2016"; + bottom = "\\Downarrow"; + } else if (utils.contains(verts, delim)) { + repeat = "\u2223"; + svgLabel = "vert"; + viewBoxWidth = 333; + } else if (utils.contains(doubleVerts, delim)) { + repeat = "\u2225"; + svgLabel = "doublevert"; + viewBoxWidth = 556; + } else if (delim === "[" || delim === "\\lbrack") { + top = "\u23a1"; + repeat = "\u23a2"; + bottom = "\u23a3"; + font = "Size4-Regular"; + svgLabel = "lbrack"; + viewBoxWidth = 667; + } else if (delim === "]" || delim === "\\rbrack") { + top = "\u23a4"; + repeat = "\u23a5"; + bottom = "\u23a6"; + font = "Size4-Regular"; + svgLabel = "rbrack"; + viewBoxWidth = 667; + } else if (delim === "\\lfloor" || delim === "\u230a") { + repeat = top = "\u23a2"; + bottom = "\u23a3"; + font = "Size4-Regular"; + svgLabel = "lfloor"; + viewBoxWidth = 667; + } else if (delim === "\\lceil" || delim === "\u2308") { + top = "\u23a1"; + repeat = bottom = "\u23a2"; + font = "Size4-Regular"; + svgLabel = "lceil"; + viewBoxWidth = 667; + } else if (delim === "\\rfloor" || delim === "\u230b") { + repeat = top = "\u23a5"; + bottom = "\u23a6"; + font = "Size4-Regular"; + svgLabel = "rfloor"; + viewBoxWidth = 667; + } else if (delim === "\\rceil" || delim === "\u2309") { + top = "\u23a4"; + repeat = bottom = "\u23a5"; + font = "Size4-Regular"; + svgLabel = "rceil"; + viewBoxWidth = 667; + } else if (delim === "(" || delim === "\\lparen") { + top = "\u239b"; + repeat = "\u239c"; + bottom = "\u239d"; + font = "Size4-Regular"; + svgLabel = "lparen"; + viewBoxWidth = 875; + } else if (delim === ")" || delim === "\\rparen") { + top = "\u239e"; + repeat = "\u239f"; + bottom = "\u23a0"; + font = "Size4-Regular"; + svgLabel = "rparen"; + viewBoxWidth = 875; + } else if (delim === "\\{" || delim === "\\lbrace") { + top = "\u23a7"; + middle = "\u23a8"; + bottom = "\u23a9"; + repeat = "\u23aa"; + font = "Size4-Regular"; + } else if (delim === "\\}" || delim === "\\rbrace") { + top = "\u23ab"; + middle = "\u23ac"; + bottom = "\u23ad"; + repeat = "\u23aa"; + font = "Size4-Regular"; + } else if (delim === "\\lgroup" || delim === "\u27ee") { + top = "\u23a7"; + bottom = "\u23a9"; + repeat = "\u23aa"; + font = "Size4-Regular"; + } else if (delim === "\\rgroup" || delim === "\u27ef") { + top = "\u23ab"; + bottom = "\u23ad"; + repeat = "\u23aa"; + font = "Size4-Regular"; + } else if (delim === "\\lmoustache" || delim === "\u23b0") { + top = "\u23a7"; + bottom = "\u23ad"; + repeat = "\u23aa"; + font = "Size4-Regular"; + } else if (delim === "\\rmoustache" || delim === "\u23b1") { + top = "\u23ab"; + bottom = "\u23a9"; + repeat = "\u23aa"; + font = "Size4-Regular"; + } // Get the metrics of the four sections + + + var topMetrics = getMetrics(top, font, mode); + var topHeightTotal = topMetrics.height + topMetrics.depth; + var repeatMetrics = getMetrics(repeat, font, mode); + var repeatHeightTotal = repeatMetrics.height + repeatMetrics.depth; + var bottomMetrics = getMetrics(bottom, font, mode); + var bottomHeightTotal = bottomMetrics.height + bottomMetrics.depth; + var middleHeightTotal = 0; + var middleFactor = 1; + + if (middle !== null) { + var middleMetrics = getMetrics(middle, font, mode); + middleHeightTotal = middleMetrics.height + middleMetrics.depth; + middleFactor = 2; // repeat symmetrically above and below middle + } // Calcuate the minimal height that the delimiter can have. + // It is at least the size of the top, bottom, and optional middle combined. + + + var minHeight = topHeightTotal + bottomHeightTotal + middleHeightTotal; // Compute the number of copies of the repeat symbol we will need + + var repeatCount = Math.max(0, Math.ceil((heightTotal - minHeight) / (middleFactor * repeatHeightTotal))); // Compute the total height of the delimiter including all the symbols + + var realHeightTotal = minHeight + repeatCount * middleFactor * repeatHeightTotal; // The center of the delimiter is placed at the center of the axis. Note + // that in this context, "center" means that the delimiter should be + // centered around the axis in the current style, while normally it is + // centered around the axis in textstyle. + + var axisHeight = options.fontMetrics().axisHeight; + + if (center) { + axisHeight *= options.sizeMultiplier; + } // Calculate the depth + + + var depth = realHeightTotal / 2 - axisHeight; // Now, we start building the pieces that will go into the vlist + // Keep a list of the pieces of the stacked delimiter + + var stack = []; + + if (svgLabel.length > 0) { + // Instead of stacking glyphs, create a single SVG. + // This evades browser problems with imprecise positioning of spans. + var midHeight = realHeightTotal - topHeightTotal - bottomHeightTotal; + var viewBoxHeight = Math.round(realHeightTotal * 1000); + var pathStr = tallDelim(svgLabel, Math.round(midHeight * 1000)); + var path = new PathNode(svgLabel, pathStr); + var width = (viewBoxWidth / 1000).toFixed(3) + "em"; + var height = (viewBoxHeight / 1000).toFixed(3) + "em"; + var svg = new SvgNode([path], { + "width": width, + "height": height, + "viewBox": "0 0 " + viewBoxWidth + " " + viewBoxHeight + }); + var wrapper = buildCommon.makeSvgSpan([], [svg], options); + wrapper.height = viewBoxHeight / 1000; + wrapper.style.width = width; + wrapper.style.height = height; + stack.push({ + type: "elem", + elem: wrapper + }); + } else { + // Stack glyphs + // Start by adding the bottom symbol + stack.push(makeGlyphSpan(bottom, font, mode)); + stack.push(lap); // overlap + + if (middle === null) { + // The middle section will be an SVG. Make it an extra 0.016em tall. + // We'll overlap by 0.008em at top and bottom. + var innerHeight = realHeightTotal - topHeightTotal - bottomHeightTotal + 2 * lapInEms; + stack.push(makeInner(repeat, innerHeight, options)); + } else { + // When there is a middle bit, we need the middle part and two repeated + // sections + var _innerHeight = (realHeightTotal - topHeightTotal - bottomHeightTotal - middleHeightTotal) / 2 + 2 * lapInEms; + + stack.push(makeInner(repeat, _innerHeight, options)); // Now insert the middle of the brace. + + stack.push(lap); + stack.push(makeGlyphSpan(middle, font, mode)); + stack.push(lap); + stack.push(makeInner(repeat, _innerHeight, options)); + } // Add the top symbol + + + stack.push(lap); + stack.push(makeGlyphSpan(top, font, mode)); + } // Finally, build the vlist + + + var newOptions = options.havingBaseStyle(Style$1.TEXT); + var inner = buildCommon.makeVList({ + positionType: "bottom", + positionData: depth, + children: stack + }, newOptions); + return styleWrap(buildCommon.makeSpan(["delimsizing", "mult"], [inner], newOptions), Style$1.TEXT, options, classes); +}; // All surds have 0.08em padding above the viniculum inside the SVG. +// That keeps browser span height rounding error from pinching the line. + + +var vbPad = 80; // padding above the surd, measured inside the viewBox. + +var emPad = 0.08; // padding, in ems, measured in the document. + +var sqrtSvg = function sqrtSvg(sqrtName, height, viewBoxHeight, extraViniculum, options) { + var path = sqrtPath(sqrtName, extraViniculum, viewBoxHeight); + var pathNode = new PathNode(sqrtName, path); + var svg = new SvgNode([pathNode], { + // Note: 1000:1 ratio of viewBox to document em width. + "width": "400em", + "height": makeEm(height), + "viewBox": "0 0 400000 " + viewBoxHeight, + "preserveAspectRatio": "xMinYMin slice" + }); + return buildCommon.makeSvgSpan(["hide-tail"], [svg], options); +}; +/** + * Make a sqrt image of the given height, + */ + + +var makeSqrtImage = function makeSqrtImage(height, options) { + // Define a newOptions that removes the effect of size changes such as \Huge. + // We don't pick different a height surd for \Huge. For it, we scale up. + var newOptions = options.havingBaseSizing(); // Pick the desired surd glyph from a sequence of surds. + + var delim = traverseSequence("\\surd", height * newOptions.sizeMultiplier, stackLargeDelimiterSequence, newOptions); + var sizeMultiplier = newOptions.sizeMultiplier; // default + // The standard sqrt SVGs each have a 0.04em thick viniculum. + // If Settings.minRuleThickness is larger than that, we add extraViniculum. + + var extraViniculum = Math.max(0, options.minRuleThickness - options.fontMetrics().sqrtRuleThickness); // Create a span containing an SVG image of a sqrt symbol. + + var span; + var spanHeight = 0; + var texHeight = 0; + var viewBoxHeight = 0; + var advanceWidth; // We create viewBoxes with 80 units of "padding" above each surd. + // Then browser rounding error on the parent span height will not + // encroach on the ink of the viniculum. But that padding is not + // included in the TeX-like `height` used for calculation of + // vertical alignment. So texHeight = span.height < span.style.height. + + if (delim.type === "small") { + // Get an SVG that is derived from glyph U+221A in font KaTeX-Main. + // 1000 unit normal glyph height. + viewBoxHeight = 1000 + 1000 * extraViniculum + vbPad; + + if (height < 1.0) { + sizeMultiplier = 1.0; // mimic a \textfont radical + } else if (height < 1.4) { + sizeMultiplier = 0.7; // mimic a \scriptfont radical + } + + spanHeight = (1.0 + extraViniculum + emPad) / sizeMultiplier; + texHeight = (1.00 + extraViniculum) / sizeMultiplier; + span = sqrtSvg("sqrtMain", spanHeight, viewBoxHeight, extraViniculum, options); + span.style.minWidth = "0.853em"; + advanceWidth = 0.833 / sizeMultiplier; // from the font. + } else if (delim.type === "large") { + // These SVGs come from fonts: KaTeX_Size1, _Size2, etc. + viewBoxHeight = (1000 + vbPad) * sizeToMaxHeight[delim.size]; + texHeight = (sizeToMaxHeight[delim.size] + extraViniculum) / sizeMultiplier; + spanHeight = (sizeToMaxHeight[delim.size] + extraViniculum + emPad) / sizeMultiplier; + span = sqrtSvg("sqrtSize" + delim.size, spanHeight, viewBoxHeight, extraViniculum, options); + span.style.minWidth = "1.02em"; + advanceWidth = 1.0 / sizeMultiplier; // 1.0 from the font. + } else { + // Tall sqrt. In TeX, this would be stacked using multiple glyphs. + // We'll use a single SVG to accomplish the same thing. + spanHeight = height + extraViniculum + emPad; + texHeight = height + extraViniculum; + viewBoxHeight = Math.floor(1000 * height + extraViniculum) + vbPad; + span = sqrtSvg("sqrtTall", spanHeight, viewBoxHeight, extraViniculum, options); + span.style.minWidth = "0.742em"; + advanceWidth = 1.056; + } + + span.height = texHeight; + span.style.height = makeEm(spanHeight); + return { + span, + advanceWidth, + // Calculate the actual line width. + // This actually should depend on the chosen font -- e.g. \boldmath + // should use the thicker surd symbols from e.g. KaTeX_Main-Bold, and + // have thicker rules. + ruleWidth: (options.fontMetrics().sqrtRuleThickness + extraViniculum) * sizeMultiplier + }; +}; // There are three kinds of delimiters, delimiters that stack when they become +// too large + + +var stackLargeDelimiters = ["(", "\\lparen", ")", "\\rparen", "[", "\\lbrack", "]", "\\rbrack", "\\{", "\\lbrace", "\\}", "\\rbrace", "\\lfloor", "\\rfloor", "\u230a", "\u230b", "\\lceil", "\\rceil", "\u2308", "\u2309", "\\surd"]; // delimiters that always stack + +var stackAlwaysDelimiters = ["\\uparrow", "\\downarrow", "\\updownarrow", "\\Uparrow", "\\Downarrow", "\\Updownarrow", "|", "\\|", "\\vert", "\\Vert", "\\lvert", "\\rvert", "\\lVert", "\\rVert", "\\lgroup", "\\rgroup", "\u27ee", "\u27ef", "\\lmoustache", "\\rmoustache", "\u23b0", "\u23b1"]; // and delimiters that never stack + +var stackNeverDelimiters = ["<", ">", "\\langle", "\\rangle", "/", "\\backslash", "\\lt", "\\gt"]; // Metrics of the different sizes. Found by looking at TeX's output of +// $\bigl| // \Bigl| \biggl| \Biggl| \showlists$ +// Used to create stacked delimiters of appropriate sizes in makeSizedDelim. + +var sizeToMaxHeight = [0, 1.2, 1.8, 2.4, 3.0]; +/** + * Used to create a delimiter of a specific size, where `size` is 1, 2, 3, or 4. + */ + +var makeSizedDelim = function makeSizedDelim(delim, size, options, mode, classes) { + // < and > turn into \langle and \rangle in delimiters + if (delim === "<" || delim === "\\lt" || delim === "\u27e8") { + delim = "\\langle"; + } else if (delim === ">" || delim === "\\gt" || delim === "\u27e9") { + delim = "\\rangle"; + } // Sized delimiters are never centered. + + + if (utils.contains(stackLargeDelimiters, delim) || utils.contains(stackNeverDelimiters, delim)) { + return makeLargeDelim(delim, size, false, options, mode, classes); + } else if (utils.contains(stackAlwaysDelimiters, delim)) { + return makeStackedDelim(delim, sizeToMaxHeight[size], false, options, mode, classes); + } else { + throw new ParseError("Illegal delimiter: '" + delim + "'"); + } +}; +/** + * There are three different sequences of delimiter sizes that the delimiters + * follow depending on the kind of delimiter. This is used when creating custom + * sized delimiters to decide whether to create a small, large, or stacked + * delimiter. + * + * In real TeX, these sequences aren't explicitly defined, but are instead + * defined inside the font metrics. Since there are only three sequences that + * are possible for the delimiters that TeX defines, it is easier to just encode + * them explicitly here. + */ + + +// Delimiters that never stack try small delimiters and large delimiters only +var stackNeverDelimiterSequence = [{ + type: "small", + style: Style$1.SCRIPTSCRIPT +}, { + type: "small", + style: Style$1.SCRIPT +}, { + type: "small", + style: Style$1.TEXT +}, { + type: "large", + size: 1 +}, { + type: "large", + size: 2 +}, { + type: "large", + size: 3 +}, { + type: "large", + size: 4 +}]; // Delimiters that always stack try the small delimiters first, then stack + +var stackAlwaysDelimiterSequence = [{ + type: "small", + style: Style$1.SCRIPTSCRIPT +}, { + type: "small", + style: Style$1.SCRIPT +}, { + type: "small", + style: Style$1.TEXT +}, { + type: "stack" +}]; // Delimiters that stack when large try the small and then large delimiters, and +// stack afterwards + +var stackLargeDelimiterSequence = [{ + type: "small", + style: Style$1.SCRIPTSCRIPT +}, { + type: "small", + style: Style$1.SCRIPT +}, { + type: "small", + style: Style$1.TEXT +}, { + type: "large", + size: 1 +}, { + type: "large", + size: 2 +}, { + type: "large", + size: 3 +}, { + type: "large", + size: 4 +}, { + type: "stack" +}]; +/** + * Get the font used in a delimiter based on what kind of delimiter it is. + * TODO(#963) Use more specific font family return type once that is introduced. + */ + +var delimTypeToFont = function delimTypeToFont(type) { + if (type.type === "small") { + return "Main-Regular"; + } else if (type.type === "large") { + return "Size" + type.size + "-Regular"; + } else if (type.type === "stack") { + return "Size4-Regular"; + } else { + throw new Error("Add support for delim type '" + type.type + "' here."); + } +}; +/** + * Traverse a sequence of types of delimiters to decide what kind of delimiter + * should be used to create a delimiter of the given height+depth. + */ + + +var traverseSequence = function traverseSequence(delim, height, sequence, options) { + // Here, we choose the index we should start at in the sequences. In smaller + // sizes (which correspond to larger numbers in style.size) we start earlier + // in the sequence. Thus, scriptscript starts at index 3-3=0, script starts + // at index 3-2=1, text starts at 3-1=2, and display starts at min(2,3-0)=2 + var start = Math.min(2, 3 - options.style.size); + + for (var i = start; i < sequence.length; i++) { + if (sequence[i].type === "stack") { + // This is always the last delimiter, so we just break the loop now. + break; + } + + var metrics = getMetrics(delim, delimTypeToFont(sequence[i]), "math"); + var heightDepth = metrics.height + metrics.depth; // Small delimiters are scaled down versions of the same font, so we + // account for the style change size. + + if (sequence[i].type === "small") { + var newOptions = options.havingBaseStyle(sequence[i].style); + heightDepth *= newOptions.sizeMultiplier; + } // Check if the delimiter at this size works for the given height. + + + if (heightDepth > height) { + return sequence[i]; + } + } // If we reached the end of the sequence, return the last sequence element. + + + return sequence[sequence.length - 1]; +}; +/** + * Make a delimiter of a given height+depth, with optional centering. Here, we + * traverse the sequences, and create a delimiter that the sequence tells us to. + */ + + +var makeCustomSizedDelim = function makeCustomSizedDelim(delim, height, center, options, mode, classes) { + if (delim === "<" || delim === "\\lt" || delim === "\u27e8") { + delim = "\\langle"; + } else if (delim === ">" || delim === "\\gt" || delim === "\u27e9") { + delim = "\\rangle"; + } // Decide what sequence to use + + + var sequence; + + if (utils.contains(stackNeverDelimiters, delim)) { + sequence = stackNeverDelimiterSequence; + } else if (utils.contains(stackLargeDelimiters, delim)) { + sequence = stackLargeDelimiterSequence; + } else { + sequence = stackAlwaysDelimiterSequence; + } // Look through the sequence + + + var delimType = traverseSequence(delim, height, sequence, options); // Get the delimiter from font glyphs. + // Depending on the sequence element we decided on, call the + // appropriate function. + + if (delimType.type === "small") { + return makeSmallDelim(delim, delimType.style, center, options, mode, classes); + } else if (delimType.type === "large") { + return makeLargeDelim(delim, delimType.size, center, options, mode, classes); + } else + /* if (delimType.type === "stack") */ + { + return makeStackedDelim(delim, height, center, options, mode, classes); + } +}; +/** + * Make a delimiter for use with `\left` and `\right`, given a height and depth + * of an expression that the delimiters surround. + */ + + +var makeLeftRightDelim = function makeLeftRightDelim(delim, height, depth, options, mode, classes) { + // We always center \left/\right delimiters, so the axis is always shifted + var axisHeight = options.fontMetrics().axisHeight * options.sizeMultiplier; // Taken from TeX source, tex.web, function make_left_right + + var delimiterFactor = 901; + var delimiterExtend = 5.0 / options.fontMetrics().ptPerEm; + var maxDistFromAxis = Math.max(height - axisHeight, depth + axisHeight); + var totalHeight = Math.max( // In real TeX, calculations are done using integral values which are + // 65536 per pt, or 655360 per em. So, the division here truncates in + // TeX but doesn't here, producing different results. If we wanted to + // exactly match TeX's calculation, we could do + // Math.floor(655360 * maxDistFromAxis / 500) * + // delimiterFactor / 655360 + // (To see the difference, compare + // x^{x^{\left(\rule{0.1em}{0.68em}\right)}} + // in TeX and KaTeX) + maxDistFromAxis / 500 * delimiterFactor, 2 * maxDistFromAxis - delimiterExtend); // Finally, we defer to `makeCustomSizedDelim` with our calculated total + // height + + return makeCustomSizedDelim(delim, totalHeight, true, options, mode, classes); +}; + +var delimiter = { + sqrtImage: makeSqrtImage, + sizedDelim: makeSizedDelim, + sizeToMaxHeight: sizeToMaxHeight, + customSizedDelim: makeCustomSizedDelim, + leftRightDelim: makeLeftRightDelim +}; + +// Extra data needed for the delimiter handler down below +var delimiterSizes = { + "\\bigl": { + mclass: "mopen", + size: 1 + }, + "\\Bigl": { + mclass: "mopen", + size: 2 + }, + "\\biggl": { + mclass: "mopen", + size: 3 + }, + "\\Biggl": { + mclass: "mopen", + size: 4 + }, + "\\bigr": { + mclass: "mclose", + size: 1 + }, + "\\Bigr": { + mclass: "mclose", + size: 2 + }, + "\\biggr": { + mclass: "mclose", + size: 3 + }, + "\\Biggr": { + mclass: "mclose", + size: 4 + }, + "\\bigm": { + mclass: "mrel", + size: 1 + }, + "\\Bigm": { + mclass: "mrel", + size: 2 + }, + "\\biggm": { + mclass: "mrel", + size: 3 + }, + "\\Biggm": { + mclass: "mrel", + size: 4 + }, + "\\big": { + mclass: "mord", + size: 1 + }, + "\\Big": { + mclass: "mord", + size: 2 + }, + "\\bigg": { + mclass: "mord", + size: 3 + }, + "\\Bigg": { + mclass: "mord", + size: 4 + } +}; +var delimiters = ["(", "\\lparen", ")", "\\rparen", "[", "\\lbrack", "]", "\\rbrack", "\\{", "\\lbrace", "\\}", "\\rbrace", "\\lfloor", "\\rfloor", "\u230a", "\u230b", "\\lceil", "\\rceil", "\u2308", "\u2309", "<", ">", "\\langle", "\u27e8", "\\rangle", "\u27e9", "\\lt", "\\gt", "\\lvert", "\\rvert", "\\lVert", "\\rVert", "\\lgroup", "\\rgroup", "\u27ee", "\u27ef", "\\lmoustache", "\\rmoustache", "\u23b0", "\u23b1", "/", "\\backslash", "|", "\\vert", "\\|", "\\Vert", "\\uparrow", "\\Uparrow", "\\downarrow", "\\Downarrow", "\\updownarrow", "\\Updownarrow", "."]; + +// Delimiter functions +function checkDelimiter(delim, context) { + var symDelim = checkSymbolNodeType(delim); + + if (symDelim && utils.contains(delimiters, symDelim.text)) { + return symDelim; + } else if (symDelim) { + throw new ParseError("Invalid delimiter '" + symDelim.text + "' after '" + context.funcName + "'", delim); + } else { + throw new ParseError("Invalid delimiter type '" + delim.type + "'", delim); + } +} + +defineFunction({ + type: "delimsizing", + names: ["\\bigl", "\\Bigl", "\\biggl", "\\Biggl", "\\bigr", "\\Bigr", "\\biggr", "\\Biggr", "\\bigm", "\\Bigm", "\\biggm", "\\Biggm", "\\big", "\\Big", "\\bigg", "\\Bigg"], + props: { + numArgs: 1, + argTypes: ["primitive"] + }, + handler: (context, args) => { + var delim = checkDelimiter(args[0], context); + return { + type: "delimsizing", + mode: context.parser.mode, + size: delimiterSizes[context.funcName].size, + mclass: delimiterSizes[context.funcName].mclass, + delim: delim.text + }; + }, + htmlBuilder: (group, options) => { + if (group.delim === ".") { + // Empty delimiters still count as elements, even though they don't + // show anything. + return buildCommon.makeSpan([group.mclass]); + } // Use delimiter.sizedDelim to generate the delimiter. + + + return delimiter.sizedDelim(group.delim, group.size, options, group.mode, [group.mclass]); + }, + mathmlBuilder: group => { + var children = []; + + if (group.delim !== ".") { + children.push(makeText(group.delim, group.mode)); + } + + var node = new mathMLTree.MathNode("mo", children); + + if (group.mclass === "mopen" || group.mclass === "mclose") { + // Only some of the delimsizing functions act as fences, and they + // return "mopen" or "mclose" mclass. + node.setAttribute("fence", "true"); + } else { + // Explicitly disable fencing if it's not a fence, to override the + // defaults. + node.setAttribute("fence", "false"); + } + + node.setAttribute("stretchy", "true"); + var size = makeEm(delimiter.sizeToMaxHeight[group.size]); + node.setAttribute("minsize", size); + node.setAttribute("maxsize", size); + return node; + } +}); + +function assertParsed(group) { + if (!group.body) { + throw new Error("Bug: The leftright ParseNode wasn't fully parsed."); + } +} + +defineFunction({ + type: "leftright-right", + names: ["\\right"], + props: { + numArgs: 1, + primitive: true + }, + handler: (context, args) => { + // \left case below triggers parsing of \right in + // `const right = parser.parseFunction();` + // uses this return value. + var color = context.parser.gullet.macros.get("\\current@color"); + + if (color && typeof color !== "string") { + throw new ParseError("\\current@color set to non-string in \\right"); + } + + return { + type: "leftright-right", + mode: context.parser.mode, + delim: checkDelimiter(args[0], context).text, + color // undefined if not set via \color + + }; + } +}); +defineFunction({ + type: "leftright", + names: ["\\left"], + props: { + numArgs: 1, + primitive: true + }, + handler: (context, args) => { + var delim = checkDelimiter(args[0], context); + var parser = context.parser; // Parse out the implicit body + + ++parser.leftrightDepth; // parseExpression stops before '\\right' + + var body = parser.parseExpression(false); + --parser.leftrightDepth; // Check the next token + + parser.expect("\\right", false); + var right = assertNodeType(parser.parseFunction(), "leftright-right"); + return { + type: "leftright", + mode: parser.mode, + body, + left: delim.text, + right: right.delim, + rightColor: right.color + }; + }, + htmlBuilder: (group, options) => { + assertParsed(group); // Build the inner expression + + var inner = buildExpression$1(group.body, options, true, ["mopen", "mclose"]); + var innerHeight = 0; + var innerDepth = 0; + var hadMiddle = false; // Calculate its height and depth + + for (var i = 0; i < inner.length; i++) { + // Property `isMiddle` not defined on `span`. See comment in + // "middle"'s htmlBuilder. + // $FlowFixMe + if (inner[i].isMiddle) { + hadMiddle = true; + } else { + innerHeight = Math.max(inner[i].height, innerHeight); + innerDepth = Math.max(inner[i].depth, innerDepth); + } + } // The size of delimiters is the same, regardless of what style we are + // in. Thus, to correctly calculate the size of delimiter we need around + // a group, we scale down the inner size based on the size. + + + innerHeight *= options.sizeMultiplier; + innerDepth *= options.sizeMultiplier; + var leftDelim; + + if (group.left === ".") { + // Empty delimiters in \left and \right make null delimiter spaces. + leftDelim = makeNullDelimiter(options, ["mopen"]); + } else { + // Otherwise, use leftRightDelim to generate the correct sized + // delimiter. + leftDelim = delimiter.leftRightDelim(group.left, innerHeight, innerDepth, options, group.mode, ["mopen"]); + } // Add it to the beginning of the expression + + + inner.unshift(leftDelim); // Handle middle delimiters + + if (hadMiddle) { + for (var _i = 1; _i < inner.length; _i++) { + var middleDelim = inner[_i]; // Property `isMiddle` not defined on `span`. See comment in + // "middle"'s htmlBuilder. + // $FlowFixMe + + var isMiddle = middleDelim.isMiddle; + + if (isMiddle) { + // Apply the options that were active when \middle was called + inner[_i] = delimiter.leftRightDelim(isMiddle.delim, innerHeight, innerDepth, isMiddle.options, group.mode, []); + } + } + } + + var rightDelim; // Same for the right delimiter, but using color specified by \color + + if (group.right === ".") { + rightDelim = makeNullDelimiter(options, ["mclose"]); + } else { + var colorOptions = group.rightColor ? options.withColor(group.rightColor) : options; + rightDelim = delimiter.leftRightDelim(group.right, innerHeight, innerDepth, colorOptions, group.mode, ["mclose"]); + } // Add it to the end of the expression. + + + inner.push(rightDelim); + return buildCommon.makeSpan(["minner"], inner, options); + }, + mathmlBuilder: (group, options) => { + assertParsed(group); + var inner = buildExpression(group.body, options); + + if (group.left !== ".") { + var leftNode = new mathMLTree.MathNode("mo", [makeText(group.left, group.mode)]); + leftNode.setAttribute("fence", "true"); + inner.unshift(leftNode); + } + + if (group.right !== ".") { + var rightNode = new mathMLTree.MathNode("mo", [makeText(group.right, group.mode)]); + rightNode.setAttribute("fence", "true"); + + if (group.rightColor) { + rightNode.setAttribute("mathcolor", group.rightColor); + } + + inner.push(rightNode); + } + + return makeRow(inner); + } +}); +defineFunction({ + type: "middle", + names: ["\\middle"], + props: { + numArgs: 1, + primitive: true + }, + handler: (context, args) => { + var delim = checkDelimiter(args[0], context); + + if (!context.parser.leftrightDepth) { + throw new ParseError("\\middle without preceding \\left", delim); + } + + return { + type: "middle", + mode: context.parser.mode, + delim: delim.text + }; + }, + htmlBuilder: (group, options) => { + var middleDelim; + + if (group.delim === ".") { + middleDelim = makeNullDelimiter(options, []); + } else { + middleDelim = delimiter.sizedDelim(group.delim, 1, options, group.mode, []); + var isMiddle = { + delim: group.delim, + options + }; // Property `isMiddle` not defined on `span`. It is only used in + // this file above. + // TODO: Fix this violation of the `span` type and possibly rename + // things since `isMiddle` sounds like a boolean, but is a struct. + // $FlowFixMe + + middleDelim.isMiddle = isMiddle; + } + + return middleDelim; + }, + mathmlBuilder: (group, options) => { + // A Firefox \middle will strech a character vertically only if it + // is in the fence part of the operator dictionary at: + // https://www.w3.org/TR/MathML3/appendixc.html. + // So we need to avoid U+2223 and use plain "|" instead. + var textNode = group.delim === "\\vert" || group.delim === "|" ? makeText("|", "text") : makeText(group.delim, group.mode); + var middleNode = new mathMLTree.MathNode("mo", [textNode]); + middleNode.setAttribute("fence", "true"); // MathML gives 5/18em spacing to each element. + // \middle should get delimiter spacing instead. + + middleNode.setAttribute("lspace", "0.05em"); + middleNode.setAttribute("rspace", "0.05em"); + return middleNode; + } +}); + +var htmlBuilder$7 = (group, options) => { + // \cancel, \bcancel, \xcancel, \sout, \fbox, \colorbox, \fcolorbox, \phase + // Some groups can return document fragments. Handle those by wrapping + // them in a span. + var inner = buildCommon.wrapFragment(buildGroup$1(group.body, options), options); + var label = group.label.slice(1); + var scale = options.sizeMultiplier; + var img; + var imgShift = 0; // In the LaTeX cancel package, line geometry is slightly different + // depending on whether the subject is wider than it is tall, or vice versa. + // We don't know the width of a group, so as a proxy, we test if + // the subject is a single character. This captures most of the + // subjects that should get the "tall" treatment. + + var isSingleChar = utils.isCharacterBox(group.body); + + if (label === "sout") { + img = buildCommon.makeSpan(["stretchy", "sout"]); + img.height = options.fontMetrics().defaultRuleThickness / scale; + imgShift = -0.5 * options.fontMetrics().xHeight; + } else if (label === "phase") { + // Set a couple of dimensions from the steinmetz package. + var lineWeight = calculateSize({ + number: 0.6, + unit: "pt" + }, options); + var clearance = calculateSize({ + number: 0.35, + unit: "ex" + }, options); // Prevent size changes like \Huge from affecting line thickness + + var newOptions = options.havingBaseSizing(); + scale = scale / newOptions.sizeMultiplier; + var angleHeight = inner.height + inner.depth + lineWeight + clearance; // Reserve a left pad for the angle. + + inner.style.paddingLeft = makeEm(angleHeight / 2 + lineWeight); // Create an SVG + + var viewBoxHeight = Math.floor(1000 * angleHeight * scale); + var path = phasePath(viewBoxHeight); + var svgNode = new SvgNode([new PathNode("phase", path)], { + "width": "400em", + "height": makeEm(viewBoxHeight / 1000), + "viewBox": "0 0 400000 " + viewBoxHeight, + "preserveAspectRatio": "xMinYMin slice" + }); // Wrap it in a span with overflow: hidden. + + img = buildCommon.makeSvgSpan(["hide-tail"], [svgNode], options); + img.style.height = makeEm(angleHeight); + imgShift = inner.depth + lineWeight + clearance; + } else { + // Add horizontal padding + if (/cancel/.test(label)) { + if (!isSingleChar) { + inner.classes.push("cancel-pad"); + } + } else if (label === "angl") { + inner.classes.push("anglpad"); + } else { + inner.classes.push("boxpad"); + } // Add vertical padding + + + var topPad = 0; + var bottomPad = 0; + var ruleThickness = 0; // ref: cancel package: \advance\totalheight2\p@ % "+2" + + if (/box/.test(label)) { + ruleThickness = Math.max(options.fontMetrics().fboxrule, // default + options.minRuleThickness // User override. + ); + topPad = options.fontMetrics().fboxsep + (label === "colorbox" ? 0 : ruleThickness); + bottomPad = topPad; + } else if (label === "angl") { + ruleThickness = Math.max(options.fontMetrics().defaultRuleThickness, options.minRuleThickness); + topPad = 4 * ruleThickness; // gap = 3 × line, plus the line itself. + + bottomPad = Math.max(0, 0.25 - inner.depth); + } else { + topPad = isSingleChar ? 0.2 : 0; + bottomPad = topPad; + } + + img = stretchy.encloseSpan(inner, label, topPad, bottomPad, options); + + if (/fbox|boxed|fcolorbox/.test(label)) { + img.style.borderStyle = "solid"; + img.style.borderWidth = makeEm(ruleThickness); + } else if (label === "angl" && ruleThickness !== 0.049) { + img.style.borderTopWidth = makeEm(ruleThickness); + img.style.borderRightWidth = makeEm(ruleThickness); + } + + imgShift = inner.depth + bottomPad; + + if (group.backgroundColor) { + img.style.backgroundColor = group.backgroundColor; + + if (group.borderColor) { + img.style.borderColor = group.borderColor; + } + } + } + + var vlist; + + if (group.backgroundColor) { + vlist = buildCommon.makeVList({ + positionType: "individualShift", + children: [// Put the color background behind inner; + { + type: "elem", + elem: img, + shift: imgShift + }, { + type: "elem", + elem: inner, + shift: 0 + }] + }, options); + } else { + var classes = /cancel|phase/.test(label) ? ["svg-align"] : []; + vlist = buildCommon.makeVList({ + positionType: "individualShift", + children: [// Write the \cancel stroke on top of inner. + { + type: "elem", + elem: inner, + shift: 0 + }, { + type: "elem", + elem: img, + shift: imgShift, + wrapperClasses: classes + }] + }, options); + } + + if (/cancel/.test(label)) { + // The cancel package documentation says that cancel lines add their height + // to the expression, but tests show that isn't how it actually works. + vlist.height = inner.height; + vlist.depth = inner.depth; + } + + if (/cancel/.test(label) && !isSingleChar) { + // cancel does not create horiz space for its line extension. + return buildCommon.makeSpan(["mord", "cancel-lap"], [vlist], options); + } else { + return buildCommon.makeSpan(["mord"], [vlist], options); + } +}; + +var mathmlBuilder$6 = (group, options) => { + var fboxsep = 0; + var node = new mathMLTree.MathNode(group.label.indexOf("colorbox") > -1 ? "mpadded" : "menclose", [buildGroup(group.body, options)]); + + switch (group.label) { + case "\\cancel": + node.setAttribute("notation", "updiagonalstrike"); + break; + + case "\\bcancel": + node.setAttribute("notation", "downdiagonalstrike"); + break; + + case "\\phase": + node.setAttribute("notation", "phasorangle"); + break; + + case "\\sout": + node.setAttribute("notation", "horizontalstrike"); + break; + + case "\\fbox": + node.setAttribute("notation", "box"); + break; + + case "\\angl": + node.setAttribute("notation", "actuarial"); + break; + + case "\\fcolorbox": + case "\\colorbox": + // doesn't have a good notation option. So use + // instead. Set some attributes that come included with . + fboxsep = options.fontMetrics().fboxsep * options.fontMetrics().ptPerEm; + node.setAttribute("width", "+" + 2 * fboxsep + "pt"); + node.setAttribute("height", "+" + 2 * fboxsep + "pt"); + node.setAttribute("lspace", fboxsep + "pt"); // + + node.setAttribute("voffset", fboxsep + "pt"); + + if (group.label === "\\fcolorbox") { + var thk = Math.max(options.fontMetrics().fboxrule, // default + options.minRuleThickness // user override + ); + node.setAttribute("style", "border: " + thk + "em solid " + String(group.borderColor)); + } + + break; + + case "\\xcancel": + node.setAttribute("notation", "updiagonalstrike downdiagonalstrike"); + break; + } + + if (group.backgroundColor) { + node.setAttribute("mathbackground", group.backgroundColor); + } + + return node; +}; + +defineFunction({ + type: "enclose", + names: ["\\colorbox"], + props: { + numArgs: 2, + allowedInText: true, + argTypes: ["color", "text"] + }, + + handler(_ref, args, optArgs) { + var { + parser, + funcName + } = _ref; + var color = assertNodeType(args[0], "color-token").color; + var body = args[1]; + return { + type: "enclose", + mode: parser.mode, + label: funcName, + backgroundColor: color, + body + }; + }, + + htmlBuilder: htmlBuilder$7, + mathmlBuilder: mathmlBuilder$6 +}); +defineFunction({ + type: "enclose", + names: ["\\fcolorbox"], + props: { + numArgs: 3, + allowedInText: true, + argTypes: ["color", "color", "text"] + }, + + handler(_ref2, args, optArgs) { + var { + parser, + funcName + } = _ref2; + var borderColor = assertNodeType(args[0], "color-token").color; + var backgroundColor = assertNodeType(args[1], "color-token").color; + var body = args[2]; + return { + type: "enclose", + mode: parser.mode, + label: funcName, + backgroundColor, + borderColor, + body + }; + }, + + htmlBuilder: htmlBuilder$7, + mathmlBuilder: mathmlBuilder$6 +}); +defineFunction({ + type: "enclose", + names: ["\\fbox"], + props: { + numArgs: 1, + argTypes: ["hbox"], + allowedInText: true + }, + + handler(_ref3, args) { + var { + parser + } = _ref3; + return { + type: "enclose", + mode: parser.mode, + label: "\\fbox", + body: args[0] + }; + } + +}); +defineFunction({ + type: "enclose", + names: ["\\cancel", "\\bcancel", "\\xcancel", "\\sout", "\\phase"], + props: { + numArgs: 1 + }, + + handler(_ref4, args) { + var { + parser, + funcName + } = _ref4; + var body = args[0]; + return { + type: "enclose", + mode: parser.mode, + label: funcName, + body + }; + }, + + htmlBuilder: htmlBuilder$7, + mathmlBuilder: mathmlBuilder$6 +}); +defineFunction({ + type: "enclose", + names: ["\\angl"], + props: { + numArgs: 1, + argTypes: ["hbox"], + allowedInText: false + }, + + handler(_ref5, args) { + var { + parser + } = _ref5; + return { + type: "enclose", + mode: parser.mode, + label: "\\angl", + body: args[0] + }; + } + +}); + +/** + * All registered environments. + * `environments.js` exports this same dictionary again and makes it public. + * `Parser.js` requires this dictionary via `environments.js`. + */ +var _environments = {}; +function defineEnvironment(_ref) { + var { + type, + names, + props, + handler, + htmlBuilder, + mathmlBuilder + } = _ref; + // Set default values of environments. + var data = { + type, + numArgs: props.numArgs || 0, + allowedInText: false, + numOptionalArgs: 0, + handler + }; + + for (var i = 0; i < names.length; ++i) { + // TODO: The value type of _environments should be a type union of all + // possible `EnvSpec<>` possibilities instead of `EnvSpec<*>`, which is + // an existential type. + _environments[names[i]] = data; + } + + if (htmlBuilder) { + _htmlGroupBuilders[type] = htmlBuilder; + } + + if (mathmlBuilder) { + _mathmlGroupBuilders[type] = mathmlBuilder; + } +} + +/** + * All registered global/built-in macros. + * `macros.js` exports this same dictionary again and makes it public. + * `Parser.js` requires this dictionary via `macros.js`. + */ +var _macros = {}; // This function might one day accept an additional argument and do more things. + +function defineMacro(name, body) { + _macros[name] = body; +} + +// Helper functions +function getHLines(parser) { + // Return an array. The array length = number of hlines. + // Each element in the array tells if the line is dashed. + var hlineInfo = []; + parser.consumeSpaces(); + var nxt = parser.fetch().text; + + if (nxt === "\\relax") { + // \relax is an artifact of the \cr macro below + parser.consume(); + parser.consumeSpaces(); + nxt = parser.fetch().text; + } + + while (nxt === "\\hline" || nxt === "\\hdashline") { + parser.consume(); + hlineInfo.push(nxt === "\\hdashline"); + parser.consumeSpaces(); + nxt = parser.fetch().text; + } + + return hlineInfo; +} + +var validateAmsEnvironmentContext = context => { + var settings = context.parser.settings; + + if (!settings.displayMode) { + throw new ParseError("{" + context.envName + "} can be used only in" + " display mode."); + } +}; // autoTag (an argument to parseArray) can be one of three values: +// * undefined: Regular (not-top-level) array; no tags on each row +// * true: Automatic equation numbering, overridable by \tag +// * false: Tags allowed on each row, but no automatic numbering +// This function *doesn't* work with the "split" environment name. + + +function getAutoTag(name) { + if (name.indexOf("ed") === -1) { + return name.indexOf("*") === -1; + } // return undefined; + +} +/** + * Parse the body of the environment, with rows delimited by \\ and + * columns delimited by &, and create a nested list in row-major order + * with one group per cell. If given an optional argument style + * ("text", "display", etc.), then each cell is cast into that style. + */ + + +function parseArray(parser, _ref, style) { + var { + hskipBeforeAndAfter, + addJot, + cols, + arraystretch, + colSeparationType, + autoTag, + singleRow, + emptySingleRow, + maxNumCols, + leqno + } = _ref; + parser.gullet.beginGroup(); + + if (!singleRow) { + // \cr is equivalent to \\ without the optional size argument (see below) + // TODO: provide helpful error when \cr is used outside array environment + parser.gullet.macros.set("\\cr", "\\\\\\relax"); + } // Get current arraystretch if it's not set by the environment + + + if (!arraystretch) { + var stretch = parser.gullet.expandMacroAsText("\\arraystretch"); + + if (stretch == null) { + // Default \arraystretch from lttab.dtx + arraystretch = 1; + } else { + arraystretch = parseFloat(stretch); + + if (!arraystretch || arraystretch < 0) { + throw new ParseError("Invalid \\arraystretch: " + stretch); + } + } + } // Start group for first cell + + + parser.gullet.beginGroup(); + var row = []; + var body = [row]; + var rowGaps = []; + var hLinesBeforeRow = []; + var tags = autoTag != null ? [] : undefined; // amsmath uses \global\@eqnswtrue and \global\@eqnswfalse to represent + // whether this row should have an equation number. Simulate this with + // a \@eqnsw macro set to 1 or 0. + + function beginRow() { + if (autoTag) { + parser.gullet.macros.set("\\@eqnsw", "1", true); + } + } + + function endRow() { + if (tags) { + if (parser.gullet.macros.get("\\df@tag")) { + tags.push(parser.subparse([new Token("\\df@tag")])); + parser.gullet.macros.set("\\df@tag", undefined, true); + } else { + tags.push(Boolean(autoTag) && parser.gullet.macros.get("\\@eqnsw") === "1"); + } + } + } + + beginRow(); // Test for \hline at the top of the array. + + hLinesBeforeRow.push(getHLines(parser)); + + while (true) { + // eslint-disable-line no-constant-condition + // Parse each cell in its own group (namespace) + var cell = parser.parseExpression(false, singleRow ? "\\end" : "\\\\"); + parser.gullet.endGroup(); + parser.gullet.beginGroup(); + cell = { + type: "ordgroup", + mode: parser.mode, + body: cell + }; + + if (style) { + cell = { + type: "styling", + mode: parser.mode, + style, + body: [cell] + }; + } + + row.push(cell); + var next = parser.fetch().text; + + if (next === "&") { + if (maxNumCols && row.length === maxNumCols) { + if (singleRow || colSeparationType) { + // {equation} or {split} + throw new ParseError("Too many tab characters: &", parser.nextToken); + } else { + // {array} environment + parser.settings.reportNonstrict("textEnv", "Too few columns " + "specified in the {array} column argument."); + } + } + + parser.consume(); + } else if (next === "\\end") { + endRow(); // Arrays terminate newlines with `\crcr` which consumes a `\cr` if + // the last line is empty. However, AMS environments keep the + // empty row if it's the only one. + // NOTE: Currently, `cell` is the last item added into `row`. + + if (row.length === 1 && cell.type === "styling" && cell.body[0].body.length === 0 && (body.length > 1 || !emptySingleRow)) { + body.pop(); + } + + if (hLinesBeforeRow.length < body.length + 1) { + hLinesBeforeRow.push([]); + } + + break; + } else if (next === "\\\\") { + parser.consume(); + var size = void 0; // \def\Let@{\let\\\math@cr} + // \def\math@cr{...\math@cr@} + // \def\math@cr@{\new@ifnextchar[\math@cr@@{\math@cr@@[\z@]}} + // \def\math@cr@@[#1]{...\math@cr@@@...} + // \def\math@cr@@@{\cr} + + if (parser.gullet.future().text !== " ") { + size = parser.parseSizeGroup(true); + } + + rowGaps.push(size ? size.value : null); + endRow(); // check for \hline(s) following the row separator + + hLinesBeforeRow.push(getHLines(parser)); + row = []; + body.push(row); + beginRow(); + } else { + throw new ParseError("Expected & or \\\\ or \\cr or \\end", parser.nextToken); + } + } // End cell group + + + parser.gullet.endGroup(); // End array group defining \cr + + parser.gullet.endGroup(); + return { + type: "array", + mode: parser.mode, + addJot, + arraystretch, + body, + cols, + rowGaps, + hskipBeforeAndAfter, + hLinesBeforeRow, + colSeparationType, + tags, + leqno + }; +} // Decides on a style for cells in an array according to whether the given +// environment name starts with the letter 'd'. + + +function dCellStyle(envName) { + if (envName.slice(0, 1) === "d") { + return "display"; + } else { + return "text"; + } +} + +var htmlBuilder$6 = function htmlBuilder(group, options) { + var r; + var c; + var nr = group.body.length; + var hLinesBeforeRow = group.hLinesBeforeRow; + var nc = 0; + var body = new Array(nr); + var hlines = []; + var ruleThickness = Math.max( // From LaTeX \showthe\arrayrulewidth. Equals 0.04 em. + options.fontMetrics().arrayRuleWidth, options.minRuleThickness // User override. + ); // Horizontal spacing + + var pt = 1 / options.fontMetrics().ptPerEm; + var arraycolsep = 5 * pt; // default value, i.e. \arraycolsep in article.cls + + if (group.colSeparationType && group.colSeparationType === "small") { + // We're in a {smallmatrix}. Default column space is \thickspace, + // i.e. 5/18em = 0.2778em, per amsmath.dtx for {smallmatrix}. + // But that needs adjustment because LaTeX applies \scriptstyle to the + // entire array, including the colspace, but this function applies + // \scriptstyle only inside each element. + var localMultiplier = options.havingStyle(Style$1.SCRIPT).sizeMultiplier; + arraycolsep = 0.2778 * (localMultiplier / options.sizeMultiplier); + } // Vertical spacing + + + var baselineskip = group.colSeparationType === "CD" ? calculateSize({ + number: 3, + unit: "ex" + }, options) : 12 * pt; // see size10.clo + // Default \jot from ltmath.dtx + // TODO(edemaine): allow overriding \jot via \setlength (#687) + + var jot = 3 * pt; + var arrayskip = group.arraystretch * baselineskip; + var arstrutHeight = 0.7 * arrayskip; // \strutbox in ltfsstrc.dtx and + + var arstrutDepth = 0.3 * arrayskip; // \@arstrutbox in lttab.dtx + + var totalHeight = 0; // Set a position for \hline(s) at the top of the array, if any. + + function setHLinePos(hlinesInGap) { + for (var i = 0; i < hlinesInGap.length; ++i) { + if (i > 0) { + totalHeight += 0.25; + } + + hlines.push({ + pos: totalHeight, + isDashed: hlinesInGap[i] + }); + } + } + + setHLinePos(hLinesBeforeRow[0]); + + for (r = 0; r < group.body.length; ++r) { + var inrow = group.body[r]; + var height = arstrutHeight; // \@array adds an \@arstrut + + var depth = arstrutDepth; // to each tow (via the template) + + if (nc < inrow.length) { + nc = inrow.length; + } + + var outrow = new Array(inrow.length); + + for (c = 0; c < inrow.length; ++c) { + var elt = buildGroup$1(inrow[c], options); + + if (depth < elt.depth) { + depth = elt.depth; + } + + if (height < elt.height) { + height = elt.height; + } + + outrow[c] = elt; + } + + var rowGap = group.rowGaps[r]; + var gap = 0; + + if (rowGap) { + gap = calculateSize(rowGap, options); + + if (gap > 0) { + // \@argarraycr + gap += arstrutDepth; + + if (depth < gap) { + depth = gap; // \@xargarraycr + } + + gap = 0; + } + } // In AMS multiline environments such as aligned and gathered, rows + // correspond to lines that have additional \jot added to the + // \baselineskip via \openup. + + + if (group.addJot) { + depth += jot; + } + + outrow.height = height; + outrow.depth = depth; + totalHeight += height; + outrow.pos = totalHeight; + totalHeight += depth + gap; // \@yargarraycr + + body[r] = outrow; // Set a position for \hline(s), if any. + + setHLinePos(hLinesBeforeRow[r + 1]); + } + + var offset = totalHeight / 2 + options.fontMetrics().axisHeight; + var colDescriptions = group.cols || []; + var cols = []; + var colSep; + var colDescrNum; + var tagSpans = []; + + if (group.tags && group.tags.some(tag => tag)) { + // An environment with manual tags and/or automatic equation numbers. + // Create node(s), the latter of which trigger CSS counter increment. + for (r = 0; r < nr; ++r) { + var rw = body[r]; + var shift = rw.pos - offset; + var tag = group.tags[r]; + var tagSpan = void 0; + + if (tag === true) { + // automatic numbering + tagSpan = buildCommon.makeSpan(["eqn-num"], [], options); + } else if (tag === false) { + // \nonumber/\notag or starred environment + tagSpan = buildCommon.makeSpan([], [], options); + } else { + // manual \tag + tagSpan = buildCommon.makeSpan([], buildExpression$1(tag, options, true), options); + } + + tagSpan.depth = rw.depth; + tagSpan.height = rw.height; + tagSpans.push({ + type: "elem", + elem: tagSpan, + shift + }); + } + } + + for (c = 0, colDescrNum = 0; // Continue while either there are more columns or more column + // descriptions, so trailing separators don't get lost. + c < nc || colDescrNum < colDescriptions.length; ++c, ++colDescrNum) { + var colDescr = colDescriptions[colDescrNum] || {}; + var firstSeparator = true; + + while (colDescr.type === "separator") { + // If there is more than one separator in a row, add a space + // between them. + if (!firstSeparator) { + colSep = buildCommon.makeSpan(["arraycolsep"], []); + colSep.style.width = makeEm(options.fontMetrics().doubleRuleSep); + cols.push(colSep); + } + + if (colDescr.separator === "|" || colDescr.separator === ":") { + var lineType = colDescr.separator === "|" ? "solid" : "dashed"; + var separator = buildCommon.makeSpan(["vertical-separator"], [], options); + separator.style.height = makeEm(totalHeight); + separator.style.borderRightWidth = makeEm(ruleThickness); + separator.style.borderRightStyle = lineType; + separator.style.margin = "0 " + makeEm(-ruleThickness / 2); + + var _shift = totalHeight - offset; + + if (_shift) { + separator.style.verticalAlign = makeEm(-_shift); + } + + cols.push(separator); + } else { + throw new ParseError("Invalid separator type: " + colDescr.separator); + } + + colDescrNum++; + colDescr = colDescriptions[colDescrNum] || {}; + firstSeparator = false; + } + + if (c >= nc) { + continue; + } + + var sepwidth = void 0; + + if (c > 0 || group.hskipBeforeAndAfter) { + sepwidth = utils.deflt(colDescr.pregap, arraycolsep); + + if (sepwidth !== 0) { + colSep = buildCommon.makeSpan(["arraycolsep"], []); + colSep.style.width = makeEm(sepwidth); + cols.push(colSep); + } + } + + var col = []; + + for (r = 0; r < nr; ++r) { + var row = body[r]; + var elem = row[c]; + + if (!elem) { + continue; + } + + var _shift2 = row.pos - offset; + + elem.depth = row.depth; + elem.height = row.height; + col.push({ + type: "elem", + elem: elem, + shift: _shift2 + }); + } + + col = buildCommon.makeVList({ + positionType: "individualShift", + children: col + }, options); + col = buildCommon.makeSpan(["col-align-" + (colDescr.align || "c")], [col]); + cols.push(col); + + if (c < nc - 1 || group.hskipBeforeAndAfter) { + sepwidth = utils.deflt(colDescr.postgap, arraycolsep); + + if (sepwidth !== 0) { + colSep = buildCommon.makeSpan(["arraycolsep"], []); + colSep.style.width = makeEm(sepwidth); + cols.push(colSep); + } + } + } + + body = buildCommon.makeSpan(["mtable"], cols); // Add \hline(s), if any. + + if (hlines.length > 0) { + var line = buildCommon.makeLineSpan("hline", options, ruleThickness); + var dashes = buildCommon.makeLineSpan("hdashline", options, ruleThickness); + var vListElems = [{ + type: "elem", + elem: body, + shift: 0 + }]; + + while (hlines.length > 0) { + var hline = hlines.pop(); + var lineShift = hline.pos - offset; + + if (hline.isDashed) { + vListElems.push({ + type: "elem", + elem: dashes, + shift: lineShift + }); + } else { + vListElems.push({ + type: "elem", + elem: line, + shift: lineShift + }); + } + } + + body = buildCommon.makeVList({ + positionType: "individualShift", + children: vListElems + }, options); + } + + if (tagSpans.length === 0) { + return buildCommon.makeSpan(["mord"], [body], options); + } else { + var eqnNumCol = buildCommon.makeVList({ + positionType: "individualShift", + children: tagSpans + }, options); + eqnNumCol = buildCommon.makeSpan(["tag"], [eqnNumCol], options); + return buildCommon.makeFragment([body, eqnNumCol]); + } +}; + +var alignMap = { + c: "center ", + l: "left ", + r: "right " +}; + +var mathmlBuilder$5 = function mathmlBuilder(group, options) { + var tbl = []; + var glue = new mathMLTree.MathNode("mtd", [], ["mtr-glue"]); + var tag = new mathMLTree.MathNode("mtd", [], ["mml-eqn-num"]); + + for (var i = 0; i < group.body.length; i++) { + var rw = group.body[i]; + var row = []; + + for (var j = 0; j < rw.length; j++) { + row.push(new mathMLTree.MathNode("mtd", [buildGroup(rw[j], options)])); + } + + if (group.tags && group.tags[i]) { + row.unshift(glue); + row.push(glue); + + if (group.leqno) { + row.unshift(tag); + } else { + row.push(tag); + } + } + + tbl.push(new mathMLTree.MathNode("mtr", row)); + } + + var table = new mathMLTree.MathNode("mtable", tbl); // Set column alignment, row spacing, column spacing, and + // array lines by setting attributes on the table element. + // Set the row spacing. In MathML, we specify a gap distance. + // We do not use rowGap[] because MathML automatically increases + // cell height with the height/depth of the element content. + // LaTeX \arraystretch multiplies the row baseline-to-baseline distance. + // We simulate this by adding (arraystretch - 1)em to the gap. This + // does a reasonable job of adjusting arrays containing 1 em tall content. + // The 0.16 and 0.09 values are found emprically. They produce an array + // similar to LaTeX and in which content does not interfere with \hines. + + var gap = group.arraystretch === 0.5 ? 0.1 // {smallmatrix}, {subarray} + : 0.16 + group.arraystretch - 1 + (group.addJot ? 0.09 : 0); + table.setAttribute("rowspacing", makeEm(gap)); // MathML table lines go only between cells. + // To place a line on an edge we'll use , if necessary. + + var menclose = ""; + var align = ""; + + if (group.cols && group.cols.length > 0) { + // Find column alignment, column spacing, and vertical lines. + var cols = group.cols; + var columnLines = ""; + var prevTypeWasAlign = false; + var iStart = 0; + var iEnd = cols.length; + + if (cols[0].type === "separator") { + menclose += "top "; + iStart = 1; + } + + if (cols[cols.length - 1].type === "separator") { + menclose += "bottom "; + iEnd -= 1; + } + + for (var _i = iStart; _i < iEnd; _i++) { + if (cols[_i].type === "align") { + align += alignMap[cols[_i].align]; + + if (prevTypeWasAlign) { + columnLines += "none "; + } + + prevTypeWasAlign = true; + } else if (cols[_i].type === "separator") { + // MathML accepts only single lines between cells. + // So we read only the first of consecutive separators. + if (prevTypeWasAlign) { + columnLines += cols[_i].separator === "|" ? "solid " : "dashed "; + prevTypeWasAlign = false; + } + } + } + + table.setAttribute("columnalign", align.trim()); + + if (/[sd]/.test(columnLines)) { + table.setAttribute("columnlines", columnLines.trim()); + } + } // Set column spacing. + + + if (group.colSeparationType === "align") { + var _cols = group.cols || []; + + var spacing = ""; + + for (var _i2 = 1; _i2 < _cols.length; _i2++) { + spacing += _i2 % 2 ? "0em " : "1em "; + } + + table.setAttribute("columnspacing", spacing.trim()); + } else if (group.colSeparationType === "alignat" || group.colSeparationType === "gather") { + table.setAttribute("columnspacing", "0em"); + } else if (group.colSeparationType === "small") { + table.setAttribute("columnspacing", "0.2778em"); + } else if (group.colSeparationType === "CD") { + table.setAttribute("columnspacing", "0.5em"); + } else { + table.setAttribute("columnspacing", "1em"); + } // Address \hline and \hdashline + + + var rowLines = ""; + var hlines = group.hLinesBeforeRow; + menclose += hlines[0].length > 0 ? "left " : ""; + menclose += hlines[hlines.length - 1].length > 0 ? "right " : ""; + + for (var _i3 = 1; _i3 < hlines.length - 1; _i3++) { + rowLines += hlines[_i3].length === 0 ? "none " // MathML accepts only a single line between rows. Read one element. + : hlines[_i3][0] ? "dashed " : "solid "; + } + + if (/[sd]/.test(rowLines)) { + table.setAttribute("rowlines", rowLines.trim()); + } + + if (menclose !== "") { + table = new mathMLTree.MathNode("menclose", [table]); + table.setAttribute("notation", menclose.trim()); + } + + if (group.arraystretch && group.arraystretch < 1) { + // A small array. Wrap in scriptstyle so row gap is not too large. + table = new mathMLTree.MathNode("mstyle", [table]); + table.setAttribute("scriptlevel", "1"); + } + + return table; +}; // Convenience function for align, align*, aligned, alignat, alignat*, alignedat. + + +var alignedHandler = function alignedHandler(context, args) { + if (context.envName.indexOf("ed") === -1) { + validateAmsEnvironmentContext(context); + } + + var cols = []; + var separationType = context.envName.indexOf("at") > -1 ? "alignat" : "align"; + var isSplit = context.envName === "split"; + var res = parseArray(context.parser, { + cols, + addJot: true, + autoTag: isSplit ? undefined : getAutoTag(context.envName), + emptySingleRow: true, + colSeparationType: separationType, + maxNumCols: isSplit ? 2 : undefined, + leqno: context.parser.settings.leqno + }, "display"); // Determining number of columns. + // 1. If the first argument is given, we use it as a number of columns, + // and makes sure that each row doesn't exceed that number. + // 2. Otherwise, just count number of columns = maximum number + // of cells in each row ("aligned" mode -- isAligned will be true). + // + // At the same time, prepend empty group {} at beginning of every second + // cell in each row (starting with second cell) so that operators become + // binary. This behavior is implemented in amsmath's \start@aligned. + + var numMaths; + var numCols = 0; + var emptyGroup = { + type: "ordgroup", + mode: context.mode, + body: [] + }; + + if (args[0] && args[0].type === "ordgroup") { + var arg0 = ""; + + for (var i = 0; i < args[0].body.length; i++) { + var textord = assertNodeType(args[0].body[i], "textord"); + arg0 += textord.text; + } + + numMaths = Number(arg0); + numCols = numMaths * 2; + } + + var isAligned = !numCols; + res.body.forEach(function (row) { + for (var _i4 = 1; _i4 < row.length; _i4 += 2) { + // Modify ordgroup node within styling node + var styling = assertNodeType(row[_i4], "styling"); + var ordgroup = assertNodeType(styling.body[0], "ordgroup"); + ordgroup.body.unshift(emptyGroup); + } + + if (!isAligned) { + // Case 1 + var curMaths = row.length / 2; + + if (numMaths < curMaths) { + throw new ParseError("Too many math in a row: " + ("expected " + numMaths + ", but got " + curMaths), row[0]); + } + } else if (numCols < row.length) { + // Case 2 + numCols = row.length; + } + }); // Adjusting alignment. + // In aligned mode, we add one \qquad between columns; + // otherwise we add nothing. + + for (var _i5 = 0; _i5 < numCols; ++_i5) { + var align = "r"; + var pregap = 0; + + if (_i5 % 2 === 1) { + align = "l"; + } else if (_i5 > 0 && isAligned) { + // "aligned" mode. + pregap = 1; // add one \quad + } + + cols[_i5] = { + type: "align", + align: align, + pregap: pregap, + postgap: 0 + }; + } + + res.colSeparationType = isAligned ? "align" : "alignat"; + return res; +}; // Arrays are part of LaTeX, defined in lttab.dtx so its documentation +// is part of the source2e.pdf file of LaTeX2e source documentation. +// {darray} is an {array} environment where cells are set in \displaystyle, +// as defined in nccmath.sty. + + +defineEnvironment({ + type: "array", + names: ["array", "darray"], + props: { + numArgs: 1 + }, + + handler(context, args) { + // Since no types are specified above, the two possibilities are + // - The argument is wrapped in {} or [], in which case Parser's + // parseGroup() returns an "ordgroup" wrapping some symbol node. + // - The argument is a bare symbol node. + var symNode = checkSymbolNodeType(args[0]); + var colalign = symNode ? [args[0]] : assertNodeType(args[0], "ordgroup").body; + var cols = colalign.map(function (nde) { + var node = assertSymbolNodeType(nde); + var ca = node.text; + + if ("lcr".indexOf(ca) !== -1) { + return { + type: "align", + align: ca + }; + } else if (ca === "|") { + return { + type: "separator", + separator: "|" + }; + } else if (ca === ":") { + return { + type: "separator", + separator: ":" + }; + } + + throw new ParseError("Unknown column alignment: " + ca, nde); + }); + var res = { + cols, + hskipBeforeAndAfter: true, + // \@preamble in lttab.dtx + maxNumCols: cols.length + }; + return parseArray(context.parser, res, dCellStyle(context.envName)); + }, + + htmlBuilder: htmlBuilder$6, + mathmlBuilder: mathmlBuilder$5 +}); // The matrix environments of amsmath builds on the array environment +// of LaTeX, which is discussed above. +// The mathtools package adds starred versions of the same environments. +// These have an optional argument to choose left|center|right justification. + +defineEnvironment({ + type: "array", + names: ["matrix", "pmatrix", "bmatrix", "Bmatrix", "vmatrix", "Vmatrix", "matrix*", "pmatrix*", "bmatrix*", "Bmatrix*", "vmatrix*", "Vmatrix*"], + props: { + numArgs: 0 + }, + + handler(context) { + var delimiters = { + "matrix": null, + "pmatrix": ["(", ")"], + "bmatrix": ["[", "]"], + "Bmatrix": ["\\{", "\\}"], + "vmatrix": ["|", "|"], + "Vmatrix": ["\\Vert", "\\Vert"] + }[context.envName.replace("*", "")]; // \hskip -\arraycolsep in amsmath + + var colAlign = "c"; + var payload = { + hskipBeforeAndAfter: false, + cols: [{ + type: "align", + align: colAlign + }] + }; + + if (context.envName.charAt(context.envName.length - 1) === "*") { + // It's one of the mathtools starred functions. + // Parse the optional alignment argument. + var parser = context.parser; + parser.consumeSpaces(); + + if (parser.fetch().text === "[") { + parser.consume(); + parser.consumeSpaces(); + colAlign = parser.fetch().text; + + if ("lcr".indexOf(colAlign) === -1) { + throw new ParseError("Expected l or c or r", parser.nextToken); + } + + parser.consume(); + parser.consumeSpaces(); + parser.expect("]"); + parser.consume(); + payload.cols = [{ + type: "align", + align: colAlign + }]; + } + } + + var res = parseArray(context.parser, payload, dCellStyle(context.envName)); // Populate cols with the correct number of column alignment specs. + + var numCols = Math.max(0, ...res.body.map(row => row.length)); + res.cols = new Array(numCols).fill({ + type: "align", + align: colAlign + }); + return delimiters ? { + type: "leftright", + mode: context.mode, + body: [res], + left: delimiters[0], + right: delimiters[1], + rightColor: undefined // \right uninfluenced by \color in array + + } : res; + }, + + htmlBuilder: htmlBuilder$6, + mathmlBuilder: mathmlBuilder$5 +}); +defineEnvironment({ + type: "array", + names: ["smallmatrix"], + props: { + numArgs: 0 + }, + + handler(context) { + var payload = { + arraystretch: 0.5 + }; + var res = parseArray(context.parser, payload, "script"); + res.colSeparationType = "small"; + return res; + }, + + htmlBuilder: htmlBuilder$6, + mathmlBuilder: mathmlBuilder$5 +}); +defineEnvironment({ + type: "array", + names: ["subarray"], + props: { + numArgs: 1 + }, + + handler(context, args) { + // Parsing of {subarray} is similar to {array} + var symNode = checkSymbolNodeType(args[0]); + var colalign = symNode ? [args[0]] : assertNodeType(args[0], "ordgroup").body; + var cols = colalign.map(function (nde) { + var node = assertSymbolNodeType(nde); + var ca = node.text; // {subarray} only recognizes "l" & "c" + + if ("lc".indexOf(ca) !== -1) { + return { + type: "align", + align: ca + }; + } + + throw new ParseError("Unknown column alignment: " + ca, nde); + }); + + if (cols.length > 1) { + throw new ParseError("{subarray} can contain only one column"); + } + + var res = { + cols, + hskipBeforeAndAfter: false, + arraystretch: 0.5 + }; + res = parseArray(context.parser, res, "script"); + + if (res.body.length > 0 && res.body[0].length > 1) { + throw new ParseError("{subarray} can contain only one column"); + } + + return res; + }, + + htmlBuilder: htmlBuilder$6, + mathmlBuilder: mathmlBuilder$5 +}); // A cases environment (in amsmath.sty) is almost equivalent to +// \def\arraystretch{1.2}% +// \left\{\begin{array}{@{}l@{\quad}l@{}} … \end{array}\right. +// {dcases} is a {cases} environment where cells are set in \displaystyle, +// as defined in mathtools.sty. +// {rcases} is another mathtools environment. It's brace is on the right side. + +defineEnvironment({ + type: "array", + names: ["cases", "dcases", "rcases", "drcases"], + props: { + numArgs: 0 + }, + + handler(context) { + var payload = { + arraystretch: 1.2, + cols: [{ + type: "align", + align: "l", + pregap: 0, + // TODO(kevinb) get the current style. + // For now we use the metrics for TEXT style which is what we were + // doing before. Before attempting to get the current style we + // should look at TeX's behavior especially for \over and matrices. + postgap: 1.0 + /* 1em quad */ + + }, { + type: "align", + align: "l", + pregap: 0, + postgap: 0 + }] + }; + var res = parseArray(context.parser, payload, dCellStyle(context.envName)); + return { + type: "leftright", + mode: context.mode, + body: [res], + left: context.envName.indexOf("r") > -1 ? "." : "\\{", + right: context.envName.indexOf("r") > -1 ? "\\}" : ".", + rightColor: undefined + }; + }, + + htmlBuilder: htmlBuilder$6, + mathmlBuilder: mathmlBuilder$5 +}); // In the align environment, one uses ampersands, &, to specify number of +// columns in each row, and to locate spacing between each column. +// align gets automatic numbering. align* and aligned do not. +// The alignedat environment can be used in math mode. +// Note that we assume \nomallineskiplimit to be zero, +// so that \strut@ is the same as \strut. + +defineEnvironment({ + type: "array", + names: ["align", "align*", "aligned", "split"], + props: { + numArgs: 0 + }, + handler: alignedHandler, + htmlBuilder: htmlBuilder$6, + mathmlBuilder: mathmlBuilder$5 +}); // A gathered environment is like an array environment with one centered +// column, but where rows are considered lines so get \jot line spacing +// and contents are set in \displaystyle. + +defineEnvironment({ + type: "array", + names: ["gathered", "gather", "gather*"], + props: { + numArgs: 0 + }, + + handler(context) { + if (utils.contains(["gather", "gather*"], context.envName)) { + validateAmsEnvironmentContext(context); + } + + var res = { + cols: [{ + type: "align", + align: "c" + }], + addJot: true, + colSeparationType: "gather", + autoTag: getAutoTag(context.envName), + emptySingleRow: true, + leqno: context.parser.settings.leqno + }; + return parseArray(context.parser, res, "display"); + }, + + htmlBuilder: htmlBuilder$6, + mathmlBuilder: mathmlBuilder$5 +}); // alignat environment is like an align environment, but one must explicitly +// specify maximum number of columns in each row, and can adjust spacing between +// each columns. + +defineEnvironment({ + type: "array", + names: ["alignat", "alignat*", "alignedat"], + props: { + numArgs: 1 + }, + handler: alignedHandler, + htmlBuilder: htmlBuilder$6, + mathmlBuilder: mathmlBuilder$5 +}); +defineEnvironment({ + type: "array", + names: ["equation", "equation*"], + props: { + numArgs: 0 + }, + + handler(context) { + validateAmsEnvironmentContext(context); + var res = { + autoTag: getAutoTag(context.envName), + emptySingleRow: true, + singleRow: true, + maxNumCols: 1, + leqno: context.parser.settings.leqno + }; + return parseArray(context.parser, res, "display"); + }, + + htmlBuilder: htmlBuilder$6, + mathmlBuilder: mathmlBuilder$5 +}); +defineEnvironment({ + type: "array", + names: ["CD"], + props: { + numArgs: 0 + }, + + handler(context) { + validateAmsEnvironmentContext(context); + return parseCD(context.parser); + }, + + htmlBuilder: htmlBuilder$6, + mathmlBuilder: mathmlBuilder$5 +}); +defineMacro("\\nonumber", "\\gdef\\@eqnsw{0}"); +defineMacro("\\notag", "\\nonumber"); // Catch \hline outside array environment + +defineFunction({ + type: "text", + // Doesn't matter what this is. + names: ["\\hline", "\\hdashline"], + props: { + numArgs: 0, + allowedInText: true, + allowedInMath: true + }, + + handler(context, args) { + throw new ParseError(context.funcName + " valid only within array environment"); + } + +}); + +var environments = _environments; + +// defineEnvironment definitions. + +defineFunction({ + type: "environment", + names: ["\\begin", "\\end"], + props: { + numArgs: 1, + argTypes: ["text"] + }, + + handler(_ref, args) { + var { + parser, + funcName + } = _ref; + var nameGroup = args[0]; + + if (nameGroup.type !== "ordgroup") { + throw new ParseError("Invalid environment name", nameGroup); + } + + var envName = ""; + + for (var i = 0; i < nameGroup.body.length; ++i) { + envName += assertNodeType(nameGroup.body[i], "textord").text; + } + + if (funcName === "\\begin") { + // begin...end is similar to left...right + if (!environments.hasOwnProperty(envName)) { + throw new ParseError("No such environment: " + envName, nameGroup); + } // Build the environment object. Arguments and other information will + // be made available to the begin and end methods using properties. + + + var env = environments[envName]; + var { + args: _args, + optArgs + } = parser.parseArguments("\\begin{" + envName + "}", env); + var context = { + mode: parser.mode, + envName, + parser + }; + var result = env.handler(context, _args, optArgs); + parser.expect("\\end", false); + var endNameToken = parser.nextToken; + var end = assertNodeType(parser.parseFunction(), "environment"); + + if (end.name !== envName) { + throw new ParseError("Mismatch: \\begin{" + envName + "} matched by \\end{" + end.name + "}", endNameToken); + } // $FlowFixMe, "environment" handler returns an environment ParseNode + + + return result; + } + + return { + type: "environment", + mode: parser.mode, + name: envName, + nameGroup + }; + } + +}); + +// TODO(kevinb): implement \\sl and \\sc + +var htmlBuilder$5 = (group, options) => { + var font = group.font; + var newOptions = options.withFont(font); + return buildGroup$1(group.body, newOptions); +}; + +var mathmlBuilder$4 = (group, options) => { + var font = group.font; + var newOptions = options.withFont(font); + return buildGroup(group.body, newOptions); +}; + +var fontAliases = { + "\\Bbb": "\\mathbb", + "\\bold": "\\mathbf", + "\\frak": "\\mathfrak", + "\\bm": "\\boldsymbol" +}; +defineFunction({ + type: "font", + names: [// styles, except \boldsymbol defined below + "\\mathrm", "\\mathit", "\\mathbf", "\\mathnormal", // families + "\\mathbb", "\\mathcal", "\\mathfrak", "\\mathscr", "\\mathsf", "\\mathtt", // aliases, except \bm defined below + "\\Bbb", "\\bold", "\\frak"], + props: { + numArgs: 1, + allowedInArgument: true + }, + handler: (_ref, args) => { + var { + parser, + funcName + } = _ref; + var body = normalizeArgument(args[0]); + var func = funcName; + + if (func in fontAliases) { + func = fontAliases[func]; + } + + return { + type: "font", + mode: parser.mode, + font: func.slice(1), + body + }; + }, + htmlBuilder: htmlBuilder$5, + mathmlBuilder: mathmlBuilder$4 +}); +defineFunction({ + type: "mclass", + names: ["\\boldsymbol", "\\bm"], + props: { + numArgs: 1 + }, + handler: (_ref2, args) => { + var { + parser + } = _ref2; + var body = args[0]; + var isCharacterBox = utils.isCharacterBox(body); // amsbsy.sty's \boldsymbol uses \binrel spacing to inherit the + // argument's bin|rel|ord status + + return { + type: "mclass", + mode: parser.mode, + mclass: binrelClass(body), + body: [{ + type: "font", + mode: parser.mode, + font: "boldsymbol", + body + }], + isCharacterBox: isCharacterBox + }; + } +}); // Old font changing functions + +defineFunction({ + type: "font", + names: ["\\rm", "\\sf", "\\tt", "\\bf", "\\it", "\\cal"], + props: { + numArgs: 0, + allowedInText: true + }, + handler: (_ref3, args) => { + var { + parser, + funcName, + breakOnTokenText + } = _ref3; + var { + mode + } = parser; + var body = parser.parseExpression(true, breakOnTokenText); + var style = "math" + funcName.slice(1); + return { + type: "font", + mode: mode, + font: style, + body: { + type: "ordgroup", + mode: parser.mode, + body + } + }; + }, + htmlBuilder: htmlBuilder$5, + mathmlBuilder: mathmlBuilder$4 +}); + +var adjustStyle = (size, originalStyle) => { + // Figure out what style this fraction should be in based on the + // function used + var style = originalStyle; + + if (size === "display") { + // Get display style as a default. + // If incoming style is sub/sup, use style.text() to get correct size. + style = style.id >= Style$1.SCRIPT.id ? style.text() : Style$1.DISPLAY; + } else if (size === "text" && style.size === Style$1.DISPLAY.size) { + // We're in a \tfrac but incoming style is displaystyle, so: + style = Style$1.TEXT; + } else if (size === "script") { + style = Style$1.SCRIPT; + } else if (size === "scriptscript") { + style = Style$1.SCRIPTSCRIPT; + } + + return style; +}; + +var htmlBuilder$4 = (group, options) => { + // Fractions are handled in the TeXbook on pages 444-445, rules 15(a-e). + var style = adjustStyle(group.size, options.style); + var nstyle = style.fracNum(); + var dstyle = style.fracDen(); + var newOptions; + newOptions = options.havingStyle(nstyle); + var numerm = buildGroup$1(group.numer, newOptions, options); + + if (group.continued) { + // \cfrac inserts a \strut into the numerator. + // Get \strut dimensions from TeXbook page 353. + var hStrut = 8.5 / options.fontMetrics().ptPerEm; + var dStrut = 3.5 / options.fontMetrics().ptPerEm; + numerm.height = numerm.height < hStrut ? hStrut : numerm.height; + numerm.depth = numerm.depth < dStrut ? dStrut : numerm.depth; + } + + newOptions = options.havingStyle(dstyle); + var denomm = buildGroup$1(group.denom, newOptions, options); + var rule; + var ruleWidth; + var ruleSpacing; + + if (group.hasBarLine) { + if (group.barSize) { + ruleWidth = calculateSize(group.barSize, options); + rule = buildCommon.makeLineSpan("frac-line", options, ruleWidth); + } else { + rule = buildCommon.makeLineSpan("frac-line", options); + } + + ruleWidth = rule.height; + ruleSpacing = rule.height; + } else { + rule = null; + ruleWidth = 0; + ruleSpacing = options.fontMetrics().defaultRuleThickness; + } // Rule 15b + + + var numShift; + var clearance; + var denomShift; + + if (style.size === Style$1.DISPLAY.size || group.size === "display") { + numShift = options.fontMetrics().num1; + + if (ruleWidth > 0) { + clearance = 3 * ruleSpacing; + } else { + clearance = 7 * ruleSpacing; + } + + denomShift = options.fontMetrics().denom1; + } else { + if (ruleWidth > 0) { + numShift = options.fontMetrics().num2; + clearance = ruleSpacing; + } else { + numShift = options.fontMetrics().num3; + clearance = 3 * ruleSpacing; + } + + denomShift = options.fontMetrics().denom2; + } + + var frac; + + if (!rule) { + // Rule 15c + var candidateClearance = numShift - numerm.depth - (denomm.height - denomShift); + + if (candidateClearance < clearance) { + numShift += 0.5 * (clearance - candidateClearance); + denomShift += 0.5 * (clearance - candidateClearance); + } + + frac = buildCommon.makeVList({ + positionType: "individualShift", + children: [{ + type: "elem", + elem: denomm, + shift: denomShift + }, { + type: "elem", + elem: numerm, + shift: -numShift + }] + }, options); + } else { + // Rule 15d + var axisHeight = options.fontMetrics().axisHeight; + + if (numShift - numerm.depth - (axisHeight + 0.5 * ruleWidth) < clearance) { + numShift += clearance - (numShift - numerm.depth - (axisHeight + 0.5 * ruleWidth)); + } + + if (axisHeight - 0.5 * ruleWidth - (denomm.height - denomShift) < clearance) { + denomShift += clearance - (axisHeight - 0.5 * ruleWidth - (denomm.height - denomShift)); + } + + var midShift = -(axisHeight - 0.5 * ruleWidth); + frac = buildCommon.makeVList({ + positionType: "individualShift", + children: [{ + type: "elem", + elem: denomm, + shift: denomShift + }, { + type: "elem", + elem: rule, + shift: midShift + }, { + type: "elem", + elem: numerm, + shift: -numShift + }] + }, options); + } // Since we manually change the style sometimes (with \dfrac or \tfrac), + // account for the possible size change here. + + + newOptions = options.havingStyle(style); + frac.height *= newOptions.sizeMultiplier / options.sizeMultiplier; + frac.depth *= newOptions.sizeMultiplier / options.sizeMultiplier; // Rule 15e + + var delimSize; + + if (style.size === Style$1.DISPLAY.size) { + delimSize = options.fontMetrics().delim1; + } else if (style.size === Style$1.SCRIPTSCRIPT.size) { + delimSize = options.havingStyle(Style$1.SCRIPT).fontMetrics().delim2; + } else { + delimSize = options.fontMetrics().delim2; + } + + var leftDelim; + var rightDelim; + + if (group.leftDelim == null) { + leftDelim = makeNullDelimiter(options, ["mopen"]); + } else { + leftDelim = delimiter.customSizedDelim(group.leftDelim, delimSize, true, options.havingStyle(style), group.mode, ["mopen"]); + } + + if (group.continued) { + rightDelim = buildCommon.makeSpan([]); // zero width for \cfrac + } else if (group.rightDelim == null) { + rightDelim = makeNullDelimiter(options, ["mclose"]); + } else { + rightDelim = delimiter.customSizedDelim(group.rightDelim, delimSize, true, options.havingStyle(style), group.mode, ["mclose"]); + } + + return buildCommon.makeSpan(["mord"].concat(newOptions.sizingClasses(options)), [leftDelim, buildCommon.makeSpan(["mfrac"], [frac]), rightDelim], options); +}; + +var mathmlBuilder$3 = (group, options) => { + var node = new mathMLTree.MathNode("mfrac", [buildGroup(group.numer, options), buildGroup(group.denom, options)]); + + if (!group.hasBarLine) { + node.setAttribute("linethickness", "0px"); + } else if (group.barSize) { + var ruleWidth = calculateSize(group.barSize, options); + node.setAttribute("linethickness", makeEm(ruleWidth)); + } + + var style = adjustStyle(group.size, options.style); + + if (style.size !== options.style.size) { + node = new mathMLTree.MathNode("mstyle", [node]); + var isDisplay = style.size === Style$1.DISPLAY.size ? "true" : "false"; + node.setAttribute("displaystyle", isDisplay); + node.setAttribute("scriptlevel", "0"); + } + + if (group.leftDelim != null || group.rightDelim != null) { + var withDelims = []; + + if (group.leftDelim != null) { + var leftOp = new mathMLTree.MathNode("mo", [new mathMLTree.TextNode(group.leftDelim.replace("\\", ""))]); + leftOp.setAttribute("fence", "true"); + withDelims.push(leftOp); + } + + withDelims.push(node); + + if (group.rightDelim != null) { + var rightOp = new mathMLTree.MathNode("mo", [new mathMLTree.TextNode(group.rightDelim.replace("\\", ""))]); + rightOp.setAttribute("fence", "true"); + withDelims.push(rightOp); + } + + return makeRow(withDelims); + } + + return node; +}; + +defineFunction({ + type: "genfrac", + names: ["\\dfrac", "\\frac", "\\tfrac", "\\dbinom", "\\binom", "\\tbinom", "\\\\atopfrac", // can’t be entered directly + "\\\\bracefrac", "\\\\brackfrac" // ditto + ], + props: { + numArgs: 2, + allowedInArgument: true + }, + handler: (_ref, args) => { + var { + parser, + funcName + } = _ref; + var numer = args[0]; + var denom = args[1]; + var hasBarLine; + var leftDelim = null; + var rightDelim = null; + var size = "auto"; + + switch (funcName) { + case "\\dfrac": + case "\\frac": + case "\\tfrac": + hasBarLine = true; + break; + + case "\\\\atopfrac": + hasBarLine = false; + break; + + case "\\dbinom": + case "\\binom": + case "\\tbinom": + hasBarLine = false; + leftDelim = "("; + rightDelim = ")"; + break; + + case "\\\\bracefrac": + hasBarLine = false; + leftDelim = "\\{"; + rightDelim = "\\}"; + break; + + case "\\\\brackfrac": + hasBarLine = false; + leftDelim = "["; + rightDelim = "]"; + break; + + default: + throw new Error("Unrecognized genfrac command"); + } + + switch (funcName) { + case "\\dfrac": + case "\\dbinom": + size = "display"; + break; + + case "\\tfrac": + case "\\tbinom": + size = "text"; + break; + } + + return { + type: "genfrac", + mode: parser.mode, + continued: false, + numer, + denom, + hasBarLine, + leftDelim, + rightDelim, + size, + barSize: null + }; + }, + htmlBuilder: htmlBuilder$4, + mathmlBuilder: mathmlBuilder$3 +}); +defineFunction({ + type: "genfrac", + names: ["\\cfrac"], + props: { + numArgs: 2 + }, + handler: (_ref2, args) => { + var { + parser, + funcName + } = _ref2; + var numer = args[0]; + var denom = args[1]; + return { + type: "genfrac", + mode: parser.mode, + continued: true, + numer, + denom, + hasBarLine: true, + leftDelim: null, + rightDelim: null, + size: "display", + barSize: null + }; + } +}); // Infix generalized fractions -- these are not rendered directly, but replaced +// immediately by one of the variants above. + +defineFunction({ + type: "infix", + names: ["\\over", "\\choose", "\\atop", "\\brace", "\\brack"], + props: { + numArgs: 0, + infix: true + }, + + handler(_ref3) { + var { + parser, + funcName, + token + } = _ref3; + var replaceWith; + + switch (funcName) { + case "\\over": + replaceWith = "\\frac"; + break; + + case "\\choose": + replaceWith = "\\binom"; + break; + + case "\\atop": + replaceWith = "\\\\atopfrac"; + break; + + case "\\brace": + replaceWith = "\\\\bracefrac"; + break; + + case "\\brack": + replaceWith = "\\\\brackfrac"; + break; + + default: + throw new Error("Unrecognized infix genfrac command"); + } + + return { + type: "infix", + mode: parser.mode, + replaceWith, + token + }; + } + +}); +var stylArray = ["display", "text", "script", "scriptscript"]; + +var delimFromValue = function delimFromValue(delimString) { + var delim = null; + + if (delimString.length > 0) { + delim = delimString; + delim = delim === "." ? null : delim; + } + + return delim; +}; + +defineFunction({ + type: "genfrac", + names: ["\\genfrac"], + props: { + numArgs: 6, + allowedInArgument: true, + argTypes: ["math", "math", "size", "text", "math", "math"] + }, + + handler(_ref4, args) { + var { + parser + } = _ref4; + var numer = args[4]; + var denom = args[5]; // Look into the parse nodes to get the desired delimiters. + + var leftNode = normalizeArgument(args[0]); + var leftDelim = leftNode.type === "atom" && leftNode.family === "open" ? delimFromValue(leftNode.text) : null; + var rightNode = normalizeArgument(args[1]); + var rightDelim = rightNode.type === "atom" && rightNode.family === "close" ? delimFromValue(rightNode.text) : null; + var barNode = assertNodeType(args[2], "size"); + var hasBarLine; + var barSize = null; + + if (barNode.isBlank) { + // \genfrac acts differently than \above. + // \genfrac treats an empty size group as a signal to use a + // standard bar size. \above would see size = 0 and omit the bar. + hasBarLine = true; + } else { + barSize = barNode.value; + hasBarLine = barSize.number > 0; + } // Find out if we want displaystyle, textstyle, etc. + + + var size = "auto"; + var styl = args[3]; + + if (styl.type === "ordgroup") { + if (styl.body.length > 0) { + var textOrd = assertNodeType(styl.body[0], "textord"); + size = stylArray[Number(textOrd.text)]; + } + } else { + styl = assertNodeType(styl, "textord"); + size = stylArray[Number(styl.text)]; + } + + return { + type: "genfrac", + mode: parser.mode, + numer, + denom, + continued: false, + hasBarLine, + barSize, + leftDelim, + rightDelim, + size + }; + }, + + htmlBuilder: htmlBuilder$4, + mathmlBuilder: mathmlBuilder$3 +}); // \above is an infix fraction that also defines a fraction bar size. + +defineFunction({ + type: "infix", + names: ["\\above"], + props: { + numArgs: 1, + argTypes: ["size"], + infix: true + }, + + handler(_ref5, args) { + var { + parser, + funcName, + token + } = _ref5; + return { + type: "infix", + mode: parser.mode, + replaceWith: "\\\\abovefrac", + size: assertNodeType(args[0], "size").value, + token + }; + } + +}); +defineFunction({ + type: "genfrac", + names: ["\\\\abovefrac"], + props: { + numArgs: 3, + argTypes: ["math", "size", "math"] + }, + handler: (_ref6, args) => { + var { + parser, + funcName + } = _ref6; + var numer = args[0]; + var barSize = assert(assertNodeType(args[1], "infix").size); + var denom = args[2]; + var hasBarLine = barSize.number > 0; + return { + type: "genfrac", + mode: parser.mode, + numer, + denom, + continued: false, + hasBarLine, + barSize, + leftDelim: null, + rightDelim: null, + size: "auto" + }; + }, + htmlBuilder: htmlBuilder$4, + mathmlBuilder: mathmlBuilder$3 +}); + +// NOTE: Unlike most `htmlBuilder`s, this one handles not only "horizBrace", but +// also "supsub" since an over/underbrace can affect super/subscripting. +var htmlBuilder$3 = (grp, options) => { + var style = options.style; // Pull out the `ParseNode<"horizBrace">` if `grp` is a "supsub" node. + + var supSubGroup; + var group; + + if (grp.type === "supsub") { + // Ref: LaTeX source2e: }}}}\limits} + // i.e. LaTeX treats the brace similar to an op and passes it + // with \limits, so we need to assign supsub style. + supSubGroup = grp.sup ? buildGroup$1(grp.sup, options.havingStyle(style.sup()), options) : buildGroup$1(grp.sub, options.havingStyle(style.sub()), options); + group = assertNodeType(grp.base, "horizBrace"); + } else { + group = assertNodeType(grp, "horizBrace"); + } // Build the base group + + + var body = buildGroup$1(group.base, options.havingBaseStyle(Style$1.DISPLAY)); // Create the stretchy element + + var braceBody = stretchy.svgSpan(group, options); // Generate the vlist, with the appropriate kerns ┏━━━━━━━━┓ + // This first vlist contains the content and the brace: equation + + var vlist; + + if (group.isOver) { + vlist = buildCommon.makeVList({ + positionType: "firstBaseline", + children: [{ + type: "elem", + elem: body + }, { + type: "kern", + size: 0.1 + }, { + type: "elem", + elem: braceBody + }] + }, options); // $FlowFixMe: Replace this with passing "svg-align" into makeVList. + + vlist.children[0].children[0].children[1].classes.push("svg-align"); + } else { + vlist = buildCommon.makeVList({ + positionType: "bottom", + positionData: body.depth + 0.1 + braceBody.height, + children: [{ + type: "elem", + elem: braceBody + }, { + type: "kern", + size: 0.1 + }, { + type: "elem", + elem: body + }] + }, options); // $FlowFixMe: Replace this with passing "svg-align" into makeVList. + + vlist.children[0].children[0].children[0].classes.push("svg-align"); + } + + if (supSubGroup) { + // To write the supsub, wrap the first vlist in another vlist: + // They can't all go in the same vlist, because the note might be + // wider than the equation. We want the equation to control the + // brace width. + // note long note long note + // ┏━━━━━━━━┓ or ┏━━━┓ not ┏━━━━━━━━━┓ + // equation eqn eqn + var vSpan = buildCommon.makeSpan(["mord", group.isOver ? "mover" : "munder"], [vlist], options); + + if (group.isOver) { + vlist = buildCommon.makeVList({ + positionType: "firstBaseline", + children: [{ + type: "elem", + elem: vSpan + }, { + type: "kern", + size: 0.2 + }, { + type: "elem", + elem: supSubGroup + }] + }, options); + } else { + vlist = buildCommon.makeVList({ + positionType: "bottom", + positionData: vSpan.depth + 0.2 + supSubGroup.height + supSubGroup.depth, + children: [{ + type: "elem", + elem: supSubGroup + }, { + type: "kern", + size: 0.2 + }, { + type: "elem", + elem: vSpan + }] + }, options); + } + } + + return buildCommon.makeSpan(["mord", group.isOver ? "mover" : "munder"], [vlist], options); +}; + +var mathmlBuilder$2 = (group, options) => { + var accentNode = stretchy.mathMLnode(group.label); + return new mathMLTree.MathNode(group.isOver ? "mover" : "munder", [buildGroup(group.base, options), accentNode]); +}; // Horizontal stretchy braces + + +defineFunction({ + type: "horizBrace", + names: ["\\overbrace", "\\underbrace"], + props: { + numArgs: 1 + }, + + handler(_ref, args) { + var { + parser, + funcName + } = _ref; + return { + type: "horizBrace", + mode: parser.mode, + label: funcName, + isOver: /^\\over/.test(funcName), + base: args[0] + }; + }, + + htmlBuilder: htmlBuilder$3, + mathmlBuilder: mathmlBuilder$2 +}); + +defineFunction({ + type: "href", + names: ["\\href"], + props: { + numArgs: 2, + argTypes: ["url", "original"], + allowedInText: true + }, + handler: (_ref, args) => { + var { + parser + } = _ref; + var body = args[1]; + var href = assertNodeType(args[0], "url").url; + + if (!parser.settings.isTrusted({ + command: "\\href", + url: href + })) { + return parser.formatUnsupportedCmd("\\href"); + } + + return { + type: "href", + mode: parser.mode, + href, + body: ordargument(body) + }; + }, + htmlBuilder: (group, options) => { + var elements = buildExpression$1(group.body, options, false); + return buildCommon.makeAnchor(group.href, [], elements, options); + }, + mathmlBuilder: (group, options) => { + var math = buildExpressionRow(group.body, options); + + if (!(math instanceof MathNode)) { + math = new MathNode("mrow", [math]); + } + + math.setAttribute("href", group.href); + return math; + } +}); +defineFunction({ + type: "href", + names: ["\\url"], + props: { + numArgs: 1, + argTypes: ["url"], + allowedInText: true + }, + handler: (_ref2, args) => { + var { + parser + } = _ref2; + var href = assertNodeType(args[0], "url").url; + + if (!parser.settings.isTrusted({ + command: "\\url", + url: href + })) { + return parser.formatUnsupportedCmd("\\url"); + } + + var chars = []; + + for (var i = 0; i < href.length; i++) { + var c = href[i]; + + if (c === "~") { + c = "\\textasciitilde"; + } + + chars.push({ + type: "textord", + mode: "text", + text: c + }); + } + + var body = { + type: "text", + mode: parser.mode, + font: "\\texttt", + body: chars + }; + return { + type: "href", + mode: parser.mode, + href, + body: ordargument(body) + }; + } +}); + +// In LaTeX, \vcenter can act only on a box, as in +// \vcenter{\hbox{$\frac{a+b}{\dfrac{c}{d}}$}} +// This function by itself doesn't do anything but prevent a soft line break. + +defineFunction({ + type: "hbox", + names: ["\\hbox"], + props: { + numArgs: 1, + argTypes: ["text"], + allowedInText: true, + primitive: true + }, + + handler(_ref, args) { + var { + parser + } = _ref; + return { + type: "hbox", + mode: parser.mode, + body: ordargument(args[0]) + }; + }, + + htmlBuilder(group, options) { + var elements = buildExpression$1(group.body, options, false); + return buildCommon.makeFragment(elements); + }, + + mathmlBuilder(group, options) { + return new mathMLTree.MathNode("mrow", buildExpression(group.body, options)); + } + +}); + +defineFunction({ + type: "html", + names: ["\\htmlClass", "\\htmlId", "\\htmlStyle", "\\htmlData"], + props: { + numArgs: 2, + argTypes: ["raw", "original"], + allowedInText: true + }, + handler: (_ref, args) => { + var { + parser, + funcName, + token + } = _ref; + var value = assertNodeType(args[0], "raw").string; + var body = args[1]; + + if (parser.settings.strict) { + parser.settings.reportNonstrict("htmlExtension", "HTML extension is disabled on strict mode"); + } + + var trustContext; + var attributes = {}; + + switch (funcName) { + case "\\htmlClass": + attributes.class = value; + trustContext = { + command: "\\htmlClass", + class: value + }; + break; + + case "\\htmlId": + attributes.id = value; + trustContext = { + command: "\\htmlId", + id: value + }; + break; + + case "\\htmlStyle": + attributes.style = value; + trustContext = { + command: "\\htmlStyle", + style: value + }; + break; + + case "\\htmlData": + { + var data = value.split(","); + + for (var i = 0; i < data.length; i++) { + var keyVal = data[i].split("="); + + if (keyVal.length !== 2) { + throw new ParseError("Error parsing key-value for \\htmlData"); + } + + attributes["data-" + keyVal[0].trim()] = keyVal[1].trim(); + } + + trustContext = { + command: "\\htmlData", + attributes + }; + break; + } + + default: + throw new Error("Unrecognized html command"); + } + + if (!parser.settings.isTrusted(trustContext)) { + return parser.formatUnsupportedCmd(funcName); + } + + return { + type: "html", + mode: parser.mode, + attributes, + body: ordargument(body) + }; + }, + htmlBuilder: (group, options) => { + var elements = buildExpression$1(group.body, options, false); + var classes = ["enclosing"]; + + if (group.attributes.class) { + classes.push(...group.attributes.class.trim().split(/\s+/)); + } + + var span = buildCommon.makeSpan(classes, elements, options); + + for (var attr in group.attributes) { + if (attr !== "class" && group.attributes.hasOwnProperty(attr)) { + span.setAttribute(attr, group.attributes[attr]); + } + } + + return span; + }, + mathmlBuilder: (group, options) => { + return buildExpressionRow(group.body, options); + } +}); + +defineFunction({ + type: "htmlmathml", + names: ["\\html@mathml"], + props: { + numArgs: 2, + allowedInText: true + }, + handler: (_ref, args) => { + var { + parser + } = _ref; + return { + type: "htmlmathml", + mode: parser.mode, + html: ordargument(args[0]), + mathml: ordargument(args[1]) + }; + }, + htmlBuilder: (group, options) => { + var elements = buildExpression$1(group.html, options, false); + return buildCommon.makeFragment(elements); + }, + mathmlBuilder: (group, options) => { + return buildExpressionRow(group.mathml, options); + } +}); + +var sizeData = function sizeData(str) { + if (/^[-+]? *(\d+(\.\d*)?|\.\d+)$/.test(str)) { + // str is a number with no unit specified. + // default unit is bp, per graphix package. + return { + number: +str, + unit: "bp" + }; + } else { + var match = /([-+]?) *(\d+(?:\.\d*)?|\.\d+) *([a-z]{2})/.exec(str); + + if (!match) { + throw new ParseError("Invalid size: '" + str + "' in \\includegraphics"); + } + + var data = { + number: +(match[1] + match[2]), + // sign + magnitude, cast to number + unit: match[3] + }; + + if (!validUnit(data)) { + throw new ParseError("Invalid unit: '" + data.unit + "' in \\includegraphics."); + } + + return data; + } +}; + +defineFunction({ + type: "includegraphics", + names: ["\\includegraphics"], + props: { + numArgs: 1, + numOptionalArgs: 1, + argTypes: ["raw", "url"], + allowedInText: false + }, + handler: (_ref, args, optArgs) => { + var { + parser + } = _ref; + var width = { + number: 0, + unit: "em" + }; + var height = { + number: 0.9, + unit: "em" + }; // sorta character sized. + + var totalheight = { + number: 0, + unit: "em" + }; + var alt = ""; + + if (optArgs[0]) { + var attributeStr = assertNodeType(optArgs[0], "raw").string; // Parser.js does not parse key/value pairs. We get a string. + + var attributes = attributeStr.split(","); + + for (var i = 0; i < attributes.length; i++) { + var keyVal = attributes[i].split("="); + + if (keyVal.length === 2) { + var str = keyVal[1].trim(); + + switch (keyVal[0].trim()) { + case "alt": + alt = str; + break; + + case "width": + width = sizeData(str); + break; + + case "height": + height = sizeData(str); + break; + + case "totalheight": + totalheight = sizeData(str); + break; + + default: + throw new ParseError("Invalid key: '" + keyVal[0] + "' in \\includegraphics."); + } + } + } + } + + var src = assertNodeType(args[0], "url").url; + + if (alt === "") { + // No alt given. Use the file name. Strip away the path. + alt = src; + alt = alt.replace(/^.*[\\/]/, ''); + alt = alt.substring(0, alt.lastIndexOf('.')); + } + + if (!parser.settings.isTrusted({ + command: "\\includegraphics", + url: src + })) { + return parser.formatUnsupportedCmd("\\includegraphics"); + } + + return { + type: "includegraphics", + mode: parser.mode, + alt: alt, + width: width, + height: height, + totalheight: totalheight, + src: src + }; + }, + htmlBuilder: (group, options) => { + var height = calculateSize(group.height, options); + var depth = 0; + + if (group.totalheight.number > 0) { + depth = calculateSize(group.totalheight, options) - height; + } + + var width = 0; + + if (group.width.number > 0) { + width = calculateSize(group.width, options); + } + + var style = { + height: makeEm(height + depth) + }; + + if (width > 0) { + style.width = makeEm(width); + } + + if (depth > 0) { + style.verticalAlign = makeEm(-depth); + } + + var node = new Img(group.src, group.alt, style); + node.height = height; + node.depth = depth; + return node; + }, + mathmlBuilder: (group, options) => { + var node = new mathMLTree.MathNode("mglyph", []); + node.setAttribute("alt", group.alt); + var height = calculateSize(group.height, options); + var depth = 0; + + if (group.totalheight.number > 0) { + depth = calculateSize(group.totalheight, options) - height; + node.setAttribute("valign", makeEm(-depth)); + } + + node.setAttribute("height", makeEm(height + depth)); + + if (group.width.number > 0) { + var width = calculateSize(group.width, options); + node.setAttribute("width", makeEm(width)); + } + + node.setAttribute("src", group.src); + return node; + } +}); + +// Horizontal spacing commands + +defineFunction({ + type: "kern", + names: ["\\kern", "\\mkern", "\\hskip", "\\mskip"], + props: { + numArgs: 1, + argTypes: ["size"], + primitive: true, + allowedInText: true + }, + + handler(_ref, args) { + var { + parser, + funcName + } = _ref; + var size = assertNodeType(args[0], "size"); + + if (parser.settings.strict) { + var mathFunction = funcName[1] === 'm'; // \mkern, \mskip + + var muUnit = size.value.unit === 'mu'; + + if (mathFunction) { + if (!muUnit) { + parser.settings.reportNonstrict("mathVsTextUnits", "LaTeX's " + funcName + " supports only mu units, " + ("not " + size.value.unit + " units")); + } + + if (parser.mode !== "math") { + parser.settings.reportNonstrict("mathVsTextUnits", "LaTeX's " + funcName + " works only in math mode"); + } + } else { + // !mathFunction + if (muUnit) { + parser.settings.reportNonstrict("mathVsTextUnits", "LaTeX's " + funcName + " doesn't support mu units"); + } + } + } + + return { + type: "kern", + mode: parser.mode, + dimension: size.value + }; + }, + + htmlBuilder(group, options) { + return buildCommon.makeGlue(group.dimension, options); + }, + + mathmlBuilder(group, options) { + var dimension = calculateSize(group.dimension, options); + return new mathMLTree.SpaceNode(dimension); + } + +}); + +// Horizontal overlap functions +defineFunction({ + type: "lap", + names: ["\\mathllap", "\\mathrlap", "\\mathclap"], + props: { + numArgs: 1, + allowedInText: true + }, + handler: (_ref, args) => { + var { + parser, + funcName + } = _ref; + var body = args[0]; + return { + type: "lap", + mode: parser.mode, + alignment: funcName.slice(5), + body + }; + }, + htmlBuilder: (group, options) => { + // mathllap, mathrlap, mathclap + var inner; + + if (group.alignment === "clap") { + // ref: https://www.math.lsu.edu/~aperlis/publications/mathclap/ + inner = buildCommon.makeSpan([], [buildGroup$1(group.body, options)]); // wrap, since CSS will center a .clap > .inner > span + + inner = buildCommon.makeSpan(["inner"], [inner], options); + } else { + inner = buildCommon.makeSpan(["inner"], [buildGroup$1(group.body, options)]); + } + + var fix = buildCommon.makeSpan(["fix"], []); + var node = buildCommon.makeSpan([group.alignment], [inner, fix], options); // At this point, we have correctly set horizontal alignment of the + // two items involved in the lap. + // Next, use a strut to set the height of the HTML bounding box. + // Otherwise, a tall argument may be misplaced. + // This code resolved issue #1153 + + var strut = buildCommon.makeSpan(["strut"]); + strut.style.height = makeEm(node.height + node.depth); + + if (node.depth) { + strut.style.verticalAlign = makeEm(-node.depth); + } + + node.children.unshift(strut); // Next, prevent vertical misplacement when next to something tall. + // This code resolves issue #1234 + + node = buildCommon.makeSpan(["thinbox"], [node], options); + return buildCommon.makeSpan(["mord", "vbox"], [node], options); + }, + mathmlBuilder: (group, options) => { + // mathllap, mathrlap, mathclap + var node = new mathMLTree.MathNode("mpadded", [buildGroup(group.body, options)]); + + if (group.alignment !== "rlap") { + var offset = group.alignment === "llap" ? "-1" : "-0.5"; + node.setAttribute("lspace", offset + "width"); + } + + node.setAttribute("width", "0px"); + return node; + } +}); + +defineFunction({ + type: "styling", + names: ["\\(", "$"], + props: { + numArgs: 0, + allowedInText: true, + allowedInMath: false + }, + + handler(_ref, args) { + var { + funcName, + parser + } = _ref; + var outerMode = parser.mode; + parser.switchMode("math"); + var close = funcName === "\\(" ? "\\)" : "$"; + var body = parser.parseExpression(false, close); + parser.expect(close); + parser.switchMode(outerMode); + return { + type: "styling", + mode: parser.mode, + style: "text", + body + }; + } + +}); // Check for extra closing math delimiters + +defineFunction({ + type: "text", + // Doesn't matter what this is. + names: ["\\)", "\\]"], + props: { + numArgs: 0, + allowedInText: true, + allowedInMath: false + }, + + handler(context, args) { + throw new ParseError("Mismatched " + context.funcName); + } + +}); + +var chooseMathStyle = (group, options) => { + switch (options.style.size) { + case Style$1.DISPLAY.size: + return group.display; + + case Style$1.TEXT.size: + return group.text; + + case Style$1.SCRIPT.size: + return group.script; + + case Style$1.SCRIPTSCRIPT.size: + return group.scriptscript; + + default: + return group.text; + } +}; + +defineFunction({ + type: "mathchoice", + names: ["\\mathchoice"], + props: { + numArgs: 4, + primitive: true + }, + handler: (_ref, args) => { + var { + parser + } = _ref; + return { + type: "mathchoice", + mode: parser.mode, + display: ordargument(args[0]), + text: ordargument(args[1]), + script: ordargument(args[2]), + scriptscript: ordargument(args[3]) + }; + }, + htmlBuilder: (group, options) => { + var body = chooseMathStyle(group, options); + var elements = buildExpression$1(body, options, false); + return buildCommon.makeFragment(elements); + }, + mathmlBuilder: (group, options) => { + var body = chooseMathStyle(group, options); + return buildExpressionRow(body, options); + } +}); + +var assembleSupSub = (base, supGroup, subGroup, options, style, slant, baseShift) => { + base = buildCommon.makeSpan([], [base]); + var subIsSingleCharacter = subGroup && utils.isCharacterBox(subGroup); + var sub; + var sup; // We manually have to handle the superscripts and subscripts. This, + // aside from the kern calculations, is copied from supsub. + + if (supGroup) { + var elem = buildGroup$1(supGroup, options.havingStyle(style.sup()), options); + sup = { + elem, + kern: Math.max(options.fontMetrics().bigOpSpacing1, options.fontMetrics().bigOpSpacing3 - elem.depth) + }; + } + + if (subGroup) { + var _elem = buildGroup$1(subGroup, options.havingStyle(style.sub()), options); + + sub = { + elem: _elem, + kern: Math.max(options.fontMetrics().bigOpSpacing2, options.fontMetrics().bigOpSpacing4 - _elem.height) + }; + } // Build the final group as a vlist of the possible subscript, base, + // and possible superscript. + + + var finalGroup; + + if (sup && sub) { + var bottom = options.fontMetrics().bigOpSpacing5 + sub.elem.height + sub.elem.depth + sub.kern + base.depth + baseShift; + finalGroup = buildCommon.makeVList({ + positionType: "bottom", + positionData: bottom, + children: [{ + type: "kern", + size: options.fontMetrics().bigOpSpacing5 + }, { + type: "elem", + elem: sub.elem, + marginLeft: makeEm(-slant) + }, { + type: "kern", + size: sub.kern + }, { + type: "elem", + elem: base + }, { + type: "kern", + size: sup.kern + }, { + type: "elem", + elem: sup.elem, + marginLeft: makeEm(slant) + }, { + type: "kern", + size: options.fontMetrics().bigOpSpacing5 + }] + }, options); + } else if (sub) { + var top = base.height - baseShift; // Shift the limits by the slant of the symbol. Note + // that we are supposed to shift the limits by 1/2 of the slant, + // but since we are centering the limits adding a full slant of + // margin will shift by 1/2 that. + + finalGroup = buildCommon.makeVList({ + positionType: "top", + positionData: top, + children: [{ + type: "kern", + size: options.fontMetrics().bigOpSpacing5 + }, { + type: "elem", + elem: sub.elem, + marginLeft: makeEm(-slant) + }, { + type: "kern", + size: sub.kern + }, { + type: "elem", + elem: base + }] + }, options); + } else if (sup) { + var _bottom = base.depth + baseShift; + + finalGroup = buildCommon.makeVList({ + positionType: "bottom", + positionData: _bottom, + children: [{ + type: "elem", + elem: base + }, { + type: "kern", + size: sup.kern + }, { + type: "elem", + elem: sup.elem, + marginLeft: makeEm(slant) + }, { + type: "kern", + size: options.fontMetrics().bigOpSpacing5 + }] + }, options); + } else { + // This case probably shouldn't occur (this would mean the + // supsub was sending us a group with no superscript or + // subscript) but be safe. + return base; + } + + var parts = [finalGroup]; + + if (sub && slant !== 0 && !subIsSingleCharacter) { + // A negative margin-left was applied to the lower limit. + // Avoid an overlap by placing a spacer on the left on the group. + var spacer = buildCommon.makeSpan(["mspace"], [], options); + spacer.style.marginRight = makeEm(slant); + parts.unshift(spacer); + } + + return buildCommon.makeSpan(["mop", "op-limits"], parts, options); +}; + +// Limits, symbols +// Most operators have a large successor symbol, but these don't. +var noSuccessor = ["\\smallint"]; // NOTE: Unlike most `htmlBuilder`s, this one handles not only "op", but also +// "supsub" since some of them (like \int) can affect super/subscripting. + +var htmlBuilder$2 = (grp, options) => { + // Operators are handled in the TeXbook pg. 443-444, rule 13(a). + var supGroup; + var subGroup; + var hasLimits = false; + var group; + + if (grp.type === "supsub") { + // If we have limits, supsub will pass us its group to handle. Pull + // out the superscript and subscript and set the group to the op in + // its base. + supGroup = grp.sup; + subGroup = grp.sub; + group = assertNodeType(grp.base, "op"); + hasLimits = true; + } else { + group = assertNodeType(grp, "op"); + } + + var style = options.style; + var large = false; + + if (style.size === Style$1.DISPLAY.size && group.symbol && !utils.contains(noSuccessor, group.name)) { + // Most symbol operators get larger in displaystyle (rule 13) + large = true; + } + + var base; + + if (group.symbol) { + // If this is a symbol, create the symbol. + var fontName = large ? "Size2-Regular" : "Size1-Regular"; + var stash = ""; + + if (group.name === "\\oiint" || group.name === "\\oiiint") { + // No font glyphs yet, so use a glyph w/o the oval. + // TODO: When font glyphs are available, delete this code. + stash = group.name.slice(1); + group.name = stash === "oiint" ? "\\iint" : "\\iiint"; + } + + base = buildCommon.makeSymbol(group.name, fontName, "math", options, ["mop", "op-symbol", large ? "large-op" : "small-op"]); + + if (stash.length > 0) { + // We're in \oiint or \oiiint. Overlay the oval. + // TODO: When font glyphs are available, delete this code. + var italic = base.italic; + var oval = buildCommon.staticSvg(stash + "Size" + (large ? "2" : "1"), options); + base = buildCommon.makeVList({ + positionType: "individualShift", + children: [{ + type: "elem", + elem: base, + shift: 0 + }, { + type: "elem", + elem: oval, + shift: large ? 0.08 : 0 + }] + }, options); + group.name = "\\" + stash; + base.classes.unshift("mop"); // $FlowFixMe + + base.italic = italic; + } + } else if (group.body) { + // If this is a list, compose that list. + var inner = buildExpression$1(group.body, options, true); + + if (inner.length === 1 && inner[0] instanceof SymbolNode) { + base = inner[0]; + base.classes[0] = "mop"; // replace old mclass + } else { + base = buildCommon.makeSpan(["mop"], inner, options); + } + } else { + // Otherwise, this is a text operator. Build the text from the + // operator's name. + var output = []; + + for (var i = 1; i < group.name.length; i++) { + output.push(buildCommon.mathsym(group.name[i], group.mode, options)); + } + + base = buildCommon.makeSpan(["mop"], output, options); + } // If content of op is a single symbol, shift it vertically. + + + var baseShift = 0; + var slant = 0; + + if ((base instanceof SymbolNode || group.name === "\\oiint" || group.name === "\\oiiint") && !group.suppressBaseShift) { + // We suppress the shift of the base of \overset and \underset. Otherwise, + // shift the symbol so its center lies on the axis (rule 13). It + // appears that our fonts have the centers of the symbols already + // almost on the axis, so these numbers are very small. Note we + // don't actually apply this here, but instead it is used either in + // the vlist creation or separately when there are no limits. + baseShift = (base.height - base.depth) / 2 - options.fontMetrics().axisHeight; // The slant of the symbol is just its italic correction. + // $FlowFixMe + + slant = base.italic; + } + + if (hasLimits) { + return assembleSupSub(base, supGroup, subGroup, options, style, slant, baseShift); + } else { + if (baseShift) { + base.style.position = "relative"; + base.style.top = makeEm(baseShift); + } + + return base; + } +}; + +var mathmlBuilder$1 = (group, options) => { + var node; + + if (group.symbol) { + // This is a symbol. Just add the symbol. + node = new MathNode("mo", [makeText(group.name, group.mode)]); + + if (utils.contains(noSuccessor, group.name)) { + node.setAttribute("largeop", "false"); + } + } else if (group.body) { + // This is an operator with children. Add them. + node = new MathNode("mo", buildExpression(group.body, options)); + } else { + // This is a text operator. Add all of the characters from the + // operator's name. + node = new MathNode("mi", [new TextNode(group.name.slice(1))]); // Append an . + // ref: https://www.w3.org/TR/REC-MathML/chap3_2.html#sec3.2.4 + + var operator = new MathNode("mo", [makeText("\u2061", "text")]); + + if (group.parentIsSupSub) { + node = new MathNode("mrow", [node, operator]); + } else { + node = newDocumentFragment([node, operator]); + } + } + + return node; +}; + +var singleCharBigOps = { + "\u220F": "\\prod", + "\u2210": "\\coprod", + "\u2211": "\\sum", + "\u22c0": "\\bigwedge", + "\u22c1": "\\bigvee", + "\u22c2": "\\bigcap", + "\u22c3": "\\bigcup", + "\u2a00": "\\bigodot", + "\u2a01": "\\bigoplus", + "\u2a02": "\\bigotimes", + "\u2a04": "\\biguplus", + "\u2a06": "\\bigsqcup" +}; +defineFunction({ + type: "op", + names: ["\\coprod", "\\bigvee", "\\bigwedge", "\\biguplus", "\\bigcap", "\\bigcup", "\\intop", "\\prod", "\\sum", "\\bigotimes", "\\bigoplus", "\\bigodot", "\\bigsqcup", "\\smallint", "\u220F", "\u2210", "\u2211", "\u22c0", "\u22c1", "\u22c2", "\u22c3", "\u2a00", "\u2a01", "\u2a02", "\u2a04", "\u2a06"], + props: { + numArgs: 0 + }, + handler: (_ref, args) => { + var { + parser, + funcName + } = _ref; + var fName = funcName; + + if (fName.length === 1) { + fName = singleCharBigOps[fName]; + } + + return { + type: "op", + mode: parser.mode, + limits: true, + parentIsSupSub: false, + symbol: true, + name: fName + }; + }, + htmlBuilder: htmlBuilder$2, + mathmlBuilder: mathmlBuilder$1 +}); // Note: calling defineFunction with a type that's already been defined only +// works because the same htmlBuilder and mathmlBuilder are being used. + +defineFunction({ + type: "op", + names: ["\\mathop"], + props: { + numArgs: 1, + primitive: true + }, + handler: (_ref2, args) => { + var { + parser + } = _ref2; + var body = args[0]; + return { + type: "op", + mode: parser.mode, + limits: false, + parentIsSupSub: false, + symbol: false, + body: ordargument(body) + }; + }, + htmlBuilder: htmlBuilder$2, + mathmlBuilder: mathmlBuilder$1 +}); // There are 2 flags for operators; whether they produce limits in +// displaystyle, and whether they are symbols and should grow in +// displaystyle. These four groups cover the four possible choices. + +var singleCharIntegrals = { + "\u222b": "\\int", + "\u222c": "\\iint", + "\u222d": "\\iiint", + "\u222e": "\\oint", + "\u222f": "\\oiint", + "\u2230": "\\oiiint" +}; // No limits, not symbols + +defineFunction({ + type: "op", + names: ["\\arcsin", "\\arccos", "\\arctan", "\\arctg", "\\arcctg", "\\arg", "\\ch", "\\cos", "\\cosec", "\\cosh", "\\cot", "\\cotg", "\\coth", "\\csc", "\\ctg", "\\cth", "\\deg", "\\dim", "\\exp", "\\hom", "\\ker", "\\lg", "\\ln", "\\log", "\\sec", "\\sin", "\\sinh", "\\sh", "\\tan", "\\tanh", "\\tg", "\\th"], + props: { + numArgs: 0 + }, + + handler(_ref3) { + var { + parser, + funcName + } = _ref3; + return { + type: "op", + mode: parser.mode, + limits: false, + parentIsSupSub: false, + symbol: false, + name: funcName + }; + }, + + htmlBuilder: htmlBuilder$2, + mathmlBuilder: mathmlBuilder$1 +}); // Limits, not symbols + +defineFunction({ + type: "op", + names: ["\\det", "\\gcd", "\\inf", "\\lim", "\\max", "\\min", "\\Pr", "\\sup"], + props: { + numArgs: 0 + }, + + handler(_ref4) { + var { + parser, + funcName + } = _ref4; + return { + type: "op", + mode: parser.mode, + limits: true, + parentIsSupSub: false, + symbol: false, + name: funcName + }; + }, + + htmlBuilder: htmlBuilder$2, + mathmlBuilder: mathmlBuilder$1 +}); // No limits, symbols + +defineFunction({ + type: "op", + names: ["\\int", "\\iint", "\\iiint", "\\oint", "\\oiint", "\\oiiint", "\u222b", "\u222c", "\u222d", "\u222e", "\u222f", "\u2230"], + props: { + numArgs: 0 + }, + + handler(_ref5) { + var { + parser, + funcName + } = _ref5; + var fName = funcName; + + if (fName.length === 1) { + fName = singleCharIntegrals[fName]; + } + + return { + type: "op", + mode: parser.mode, + limits: false, + parentIsSupSub: false, + symbol: true, + name: fName + }; + }, + + htmlBuilder: htmlBuilder$2, + mathmlBuilder: mathmlBuilder$1 +}); + +// NOTE: Unlike most `htmlBuilder`s, this one handles not only +// "operatorname", but also "supsub" since \operatorname* can +// affect super/subscripting. +var htmlBuilder$1 = (grp, options) => { + // Operators are handled in the TeXbook pg. 443-444, rule 13(a). + var supGroup; + var subGroup; + var hasLimits = false; + var group; + + if (grp.type === "supsub") { + // If we have limits, supsub will pass us its group to handle. Pull + // out the superscript and subscript and set the group to the op in + // its base. + supGroup = grp.sup; + subGroup = grp.sub; + group = assertNodeType(grp.base, "operatorname"); + hasLimits = true; + } else { + group = assertNodeType(grp, "operatorname"); + } + + var base; + + if (group.body.length > 0) { + var body = group.body.map(child => { + // $FlowFixMe: Check if the node has a string `text` property. + var childText = child.text; + + if (typeof childText === "string") { + return { + type: "textord", + mode: child.mode, + text: childText + }; + } else { + return child; + } + }); // Consolidate function names into symbol characters. + + var expression = buildExpression$1(body, options.withFont("mathrm"), true); + + for (var i = 0; i < expression.length; i++) { + var child = expression[i]; + + if (child instanceof SymbolNode) { + // Per amsopn package, + // change minus to hyphen and \ast to asterisk + child.text = child.text.replace(/\u2212/, "-").replace(/\u2217/, "*"); + } + } + + base = buildCommon.makeSpan(["mop"], expression, options); + } else { + base = buildCommon.makeSpan(["mop"], [], options); + } + + if (hasLimits) { + return assembleSupSub(base, supGroup, subGroup, options, options.style, 0, 0); + } else { + return base; + } +}; + +var mathmlBuilder = (group, options) => { + // The steps taken here are similar to the html version. + var expression = buildExpression(group.body, options.withFont("mathrm")); // Is expression a string or has it something like a fraction? + + var isAllString = true; // default + + for (var i = 0; i < expression.length; i++) { + var node = expression[i]; + + if (node instanceof mathMLTree.SpaceNode) ; else if (node instanceof mathMLTree.MathNode) { + switch (node.type) { + case "mi": + case "mn": + case "ms": + case "mspace": + case "mtext": + break; + // Do nothing yet. + + case "mo": + { + var child = node.children[0]; + + if (node.children.length === 1 && child instanceof mathMLTree.TextNode) { + child.text = child.text.replace(/\u2212/, "-").replace(/\u2217/, "*"); + } else { + isAllString = false; + } + + break; + } + + default: + isAllString = false; + } + } else { + isAllString = false; + } + } + + if (isAllString) { + // Write a single TextNode instead of multiple nested tags. + var word = expression.map(node => node.toText()).join(""); + expression = [new mathMLTree.TextNode(word)]; + } + + var identifier = new mathMLTree.MathNode("mi", expression); + identifier.setAttribute("mathvariant", "normal"); // \u2061 is the same as ⁡ + // ref: https://www.w3schools.com/charsets/ref_html_entities_a.asp + + var operator = new mathMLTree.MathNode("mo", [makeText("\u2061", "text")]); + + if (group.parentIsSupSub) { + return new mathMLTree.MathNode("mrow", [identifier, operator]); + } else { + return mathMLTree.newDocumentFragment([identifier, operator]); + } +}; // \operatorname +// amsopn.dtx: \mathop{#1\kern\z@\operator@font#3}\newmcodes@ + + +defineFunction({ + type: "operatorname", + names: ["\\operatorname@", "\\operatornamewithlimits"], + props: { + numArgs: 1 + }, + handler: (_ref, args) => { + var { + parser, + funcName + } = _ref; + var body = args[0]; + return { + type: "operatorname", + mode: parser.mode, + body: ordargument(body), + alwaysHandleSupSub: funcName === "\\operatornamewithlimits", + limits: false, + parentIsSupSub: false + }; + }, + htmlBuilder: htmlBuilder$1, + mathmlBuilder +}); +defineMacro("\\operatorname", "\\@ifstar\\operatornamewithlimits\\operatorname@"); + +defineFunctionBuilders({ + type: "ordgroup", + + htmlBuilder(group, options) { + if (group.semisimple) { + return buildCommon.makeFragment(buildExpression$1(group.body, options, false)); + } + + return buildCommon.makeSpan(["mord"], buildExpression$1(group.body, options, true), options); + }, + + mathmlBuilder(group, options) { + return buildExpressionRow(group.body, options, true); + } + +}); + +defineFunction({ + type: "overline", + names: ["\\overline"], + props: { + numArgs: 1 + }, + + handler(_ref, args) { + var { + parser + } = _ref; + var body = args[0]; + return { + type: "overline", + mode: parser.mode, + body + }; + }, + + htmlBuilder(group, options) { + // Overlines are handled in the TeXbook pg 443, Rule 9. + // Build the inner group in the cramped style. + var innerGroup = buildGroup$1(group.body, options.havingCrampedStyle()); // Create the line above the body + + var line = buildCommon.makeLineSpan("overline-line", options); // Generate the vlist, with the appropriate kerns + + var defaultRuleThickness = options.fontMetrics().defaultRuleThickness; + var vlist = buildCommon.makeVList({ + positionType: "firstBaseline", + children: [{ + type: "elem", + elem: innerGroup + }, { + type: "kern", + size: 3 * defaultRuleThickness + }, { + type: "elem", + elem: line + }, { + type: "kern", + size: defaultRuleThickness + }] + }, options); + return buildCommon.makeSpan(["mord", "overline"], [vlist], options); + }, + + mathmlBuilder(group, options) { + var operator = new mathMLTree.MathNode("mo", [new mathMLTree.TextNode("\u203e")]); + operator.setAttribute("stretchy", "true"); + var node = new mathMLTree.MathNode("mover", [buildGroup(group.body, options), operator]); + node.setAttribute("accent", "true"); + return node; + } + +}); + +defineFunction({ + type: "phantom", + names: ["\\phantom"], + props: { + numArgs: 1, + allowedInText: true + }, + handler: (_ref, args) => { + var { + parser + } = _ref; + var body = args[0]; + return { + type: "phantom", + mode: parser.mode, + body: ordargument(body) + }; + }, + htmlBuilder: (group, options) => { + var elements = buildExpression$1(group.body, options.withPhantom(), false); // \phantom isn't supposed to affect the elements it contains. + // See "color" for more details. + + return buildCommon.makeFragment(elements); + }, + mathmlBuilder: (group, options) => { + var inner = buildExpression(group.body, options); + return new mathMLTree.MathNode("mphantom", inner); + } +}); +defineFunction({ + type: "hphantom", + names: ["\\hphantom"], + props: { + numArgs: 1, + allowedInText: true + }, + handler: (_ref2, args) => { + var { + parser + } = _ref2; + var body = args[0]; + return { + type: "hphantom", + mode: parser.mode, + body + }; + }, + htmlBuilder: (group, options) => { + var node = buildCommon.makeSpan([], [buildGroup$1(group.body, options.withPhantom())]); + node.height = 0; + node.depth = 0; + + if (node.children) { + for (var i = 0; i < node.children.length; i++) { + node.children[i].height = 0; + node.children[i].depth = 0; + } + } // See smash for comment re: use of makeVList + + + node = buildCommon.makeVList({ + positionType: "firstBaseline", + children: [{ + type: "elem", + elem: node + }] + }, options); // For spacing, TeX treats \smash as a math group (same spacing as ord). + + return buildCommon.makeSpan(["mord"], [node], options); + }, + mathmlBuilder: (group, options) => { + var inner = buildExpression(ordargument(group.body), options); + var phantom = new mathMLTree.MathNode("mphantom", inner); + var node = new mathMLTree.MathNode("mpadded", [phantom]); + node.setAttribute("height", "0px"); + node.setAttribute("depth", "0px"); + return node; + } +}); +defineFunction({ + type: "vphantom", + names: ["\\vphantom"], + props: { + numArgs: 1, + allowedInText: true + }, + handler: (_ref3, args) => { + var { + parser + } = _ref3; + var body = args[0]; + return { + type: "vphantom", + mode: parser.mode, + body + }; + }, + htmlBuilder: (group, options) => { + var inner = buildCommon.makeSpan(["inner"], [buildGroup$1(group.body, options.withPhantom())]); + var fix = buildCommon.makeSpan(["fix"], []); + return buildCommon.makeSpan(["mord", "rlap"], [inner, fix], options); + }, + mathmlBuilder: (group, options) => { + var inner = buildExpression(ordargument(group.body), options); + var phantom = new mathMLTree.MathNode("mphantom", inner); + var node = new mathMLTree.MathNode("mpadded", [phantom]); + node.setAttribute("width", "0px"); + return node; + } +}); + +defineFunction({ + type: "raisebox", + names: ["\\raisebox"], + props: { + numArgs: 2, + argTypes: ["size", "hbox"], + allowedInText: true + }, + + handler(_ref, args) { + var { + parser + } = _ref; + var amount = assertNodeType(args[0], "size").value; + var body = args[1]; + return { + type: "raisebox", + mode: parser.mode, + dy: amount, + body + }; + }, + + htmlBuilder(group, options) { + var body = buildGroup$1(group.body, options); + var dy = calculateSize(group.dy, options); + return buildCommon.makeVList({ + positionType: "shift", + positionData: -dy, + children: [{ + type: "elem", + elem: body + }] + }, options); + }, + + mathmlBuilder(group, options) { + var node = new mathMLTree.MathNode("mpadded", [buildGroup(group.body, options)]); + var dy = group.dy.number + group.dy.unit; + node.setAttribute("voffset", dy); + return node; + } + +}); + +defineFunction({ + type: "internal", + names: ["\\relax"], + props: { + numArgs: 0, + allowedInText: true + }, + + handler(_ref) { + var { + parser + } = _ref; + return { + type: "internal", + mode: parser.mode + }; + } + +}); + +defineFunction({ + type: "rule", + names: ["\\rule"], + props: { + numArgs: 2, + numOptionalArgs: 1, + argTypes: ["size", "size", "size"] + }, + + handler(_ref, args, optArgs) { + var { + parser + } = _ref; + var shift = optArgs[0]; + var width = assertNodeType(args[0], "size"); + var height = assertNodeType(args[1], "size"); + return { + type: "rule", + mode: parser.mode, + shift: shift && assertNodeType(shift, "size").value, + width: width.value, + height: height.value + }; + }, + + htmlBuilder(group, options) { + // Make an empty span for the rule + var rule = buildCommon.makeSpan(["mord", "rule"], [], options); // Calculate the shift, width, and height of the rule, and account for units + + var width = calculateSize(group.width, options); + var height = calculateSize(group.height, options); + var shift = group.shift ? calculateSize(group.shift, options) : 0; // Style the rule to the right size + + rule.style.borderRightWidth = makeEm(width); + rule.style.borderTopWidth = makeEm(height); + rule.style.bottom = makeEm(shift); // Record the height and width + + rule.width = width; + rule.height = height + shift; + rule.depth = -shift; // Font size is the number large enough that the browser will + // reserve at least `absHeight` space above the baseline. + // The 1.125 factor was empirically determined + + rule.maxFontSize = height * 1.125 * options.sizeMultiplier; + return rule; + }, + + mathmlBuilder(group, options) { + var width = calculateSize(group.width, options); + var height = calculateSize(group.height, options); + var shift = group.shift ? calculateSize(group.shift, options) : 0; + var color = options.color && options.getColor() || "black"; + var rule = new mathMLTree.MathNode("mspace"); + rule.setAttribute("mathbackground", color); + rule.setAttribute("width", makeEm(width)); + rule.setAttribute("height", makeEm(height)); + var wrapper = new mathMLTree.MathNode("mpadded", [rule]); + + if (shift >= 0) { + wrapper.setAttribute("height", makeEm(shift)); + } else { + wrapper.setAttribute("height", makeEm(shift)); + wrapper.setAttribute("depth", makeEm(-shift)); + } + + wrapper.setAttribute("voffset", makeEm(shift)); + return wrapper; + } + +}); + +function sizingGroup(value, options, baseOptions) { + var inner = buildExpression$1(value, options, false); + var multiplier = options.sizeMultiplier / baseOptions.sizeMultiplier; // Add size-resetting classes to the inner list and set maxFontSize + // manually. Handle nested size changes. + + for (var i = 0; i < inner.length; i++) { + var pos = inner[i].classes.indexOf("sizing"); + + if (pos < 0) { + Array.prototype.push.apply(inner[i].classes, options.sizingClasses(baseOptions)); + } else if (inner[i].classes[pos + 1] === "reset-size" + options.size) { + // This is a nested size change: e.g., inner[i] is the "b" in + // `\Huge a \small b`. Override the old size (the `reset-` class) + // but not the new size. + inner[i].classes[pos + 1] = "reset-size" + baseOptions.size; + } + + inner[i].height *= multiplier; + inner[i].depth *= multiplier; + } + + return buildCommon.makeFragment(inner); +} +var sizeFuncs = ["\\tiny", "\\sixptsize", "\\scriptsize", "\\footnotesize", "\\small", "\\normalsize", "\\large", "\\Large", "\\LARGE", "\\huge", "\\Huge"]; +var htmlBuilder = (group, options) => { + // Handle sizing operators like \Huge. Real TeX doesn't actually allow + // these functions inside of math expressions, so we do some special + // handling. + var newOptions = options.havingSize(group.size); + return sizingGroup(group.body, newOptions, options); +}; +defineFunction({ + type: "sizing", + names: sizeFuncs, + props: { + numArgs: 0, + allowedInText: true + }, + handler: (_ref, args) => { + var { + breakOnTokenText, + funcName, + parser + } = _ref; + var body = parser.parseExpression(false, breakOnTokenText); + return { + type: "sizing", + mode: parser.mode, + // Figure out what size to use based on the list of functions above + size: sizeFuncs.indexOf(funcName) + 1, + body + }; + }, + htmlBuilder, + mathmlBuilder: (group, options) => { + var newOptions = options.havingSize(group.size); + var inner = buildExpression(group.body, newOptions); + var node = new mathMLTree.MathNode("mstyle", inner); // TODO(emily): This doesn't produce the correct size for nested size + // changes, because we don't keep state of what style we're currently + // in, so we can't reset the size to normal before changing it. Now + // that we're passing an options parameter we should be able to fix + // this. + + node.setAttribute("mathsize", makeEm(newOptions.sizeMultiplier)); + return node; + } +}); + +// smash, with optional [tb], as in AMS +defineFunction({ + type: "smash", + names: ["\\smash"], + props: { + numArgs: 1, + numOptionalArgs: 1, + allowedInText: true + }, + handler: (_ref, args, optArgs) => { + var { + parser + } = _ref; + var smashHeight = false; + var smashDepth = false; + var tbArg = optArgs[0] && assertNodeType(optArgs[0], "ordgroup"); + + if (tbArg) { + // Optional [tb] argument is engaged. + // ref: amsmath: \renewcommand{\smash}[1][tb]{% + // def\mb@t{\ht}\def\mb@b{\dp}\def\mb@tb{\ht\z@\z@\dp}% + var letter = ""; + + for (var i = 0; i < tbArg.body.length; ++i) { + var node = tbArg.body[i]; // $FlowFixMe: Not every node type has a `text` property. + + letter = node.text; + + if (letter === "t") { + smashHeight = true; + } else if (letter === "b") { + smashDepth = true; + } else { + smashHeight = false; + smashDepth = false; + break; + } + } + } else { + smashHeight = true; + smashDepth = true; + } + + var body = args[0]; + return { + type: "smash", + mode: parser.mode, + body, + smashHeight, + smashDepth + }; + }, + htmlBuilder: (group, options) => { + var node = buildCommon.makeSpan([], [buildGroup$1(group.body, options)]); + + if (!group.smashHeight && !group.smashDepth) { + return node; + } + + if (group.smashHeight) { + node.height = 0; // In order to influence makeVList, we have to reset the children. + + if (node.children) { + for (var i = 0; i < node.children.length; i++) { + node.children[i].height = 0; + } + } + } + + if (group.smashDepth) { + node.depth = 0; + + if (node.children) { + for (var _i = 0; _i < node.children.length; _i++) { + node.children[_i].depth = 0; + } + } + } // At this point, we've reset the TeX-like height and depth values. + // But the span still has an HTML line height. + // makeVList applies "display: table-cell", which prevents the browser + // from acting on that line height. So we'll call makeVList now. + + + var smashedNode = buildCommon.makeVList({ + positionType: "firstBaseline", + children: [{ + type: "elem", + elem: node + }] + }, options); // For spacing, TeX treats \hphantom as a math group (same spacing as ord). + + return buildCommon.makeSpan(["mord"], [smashedNode], options); + }, + mathmlBuilder: (group, options) => { + var node = new mathMLTree.MathNode("mpadded", [buildGroup(group.body, options)]); + + if (group.smashHeight) { + node.setAttribute("height", "0px"); + } + + if (group.smashDepth) { + node.setAttribute("depth", "0px"); + } + + return node; + } +}); + +defineFunction({ + type: "sqrt", + names: ["\\sqrt"], + props: { + numArgs: 1, + numOptionalArgs: 1 + }, + + handler(_ref, args, optArgs) { + var { + parser + } = _ref; + var index = optArgs[0]; + var body = args[0]; + return { + type: "sqrt", + mode: parser.mode, + body, + index + }; + }, + + htmlBuilder(group, options) { + // Square roots are handled in the TeXbook pg. 443, Rule 11. + // First, we do the same steps as in overline to build the inner group + // and line + var inner = buildGroup$1(group.body, options.havingCrampedStyle()); + + if (inner.height === 0) { + // Render a small surd. + inner.height = options.fontMetrics().xHeight; + } // Some groups can return document fragments. Handle those by wrapping + // them in a span. + + + inner = buildCommon.wrapFragment(inner, options); // Calculate the minimum size for the \surd delimiter + + var metrics = options.fontMetrics(); + var theta = metrics.defaultRuleThickness; + var phi = theta; + + if (options.style.id < Style$1.TEXT.id) { + phi = options.fontMetrics().xHeight; + } // Calculate the clearance between the body and line + + + var lineClearance = theta + phi / 4; + var minDelimiterHeight = inner.height + inner.depth + lineClearance + theta; // Create a sqrt SVG of the required minimum size + + var { + span: img, + ruleWidth, + advanceWidth + } = delimiter.sqrtImage(minDelimiterHeight, options); + var delimDepth = img.height - ruleWidth; // Adjust the clearance based on the delimiter size + + if (delimDepth > inner.height + inner.depth + lineClearance) { + lineClearance = (lineClearance + delimDepth - inner.height - inner.depth) / 2; + } // Shift the sqrt image + + + var imgShift = img.height - inner.height - lineClearance - ruleWidth; + inner.style.paddingLeft = makeEm(advanceWidth); // Overlay the image and the argument. + + var body = buildCommon.makeVList({ + positionType: "firstBaseline", + children: [{ + type: "elem", + elem: inner, + wrapperClasses: ["svg-align"] + }, { + type: "kern", + size: -(inner.height + imgShift) + }, { + type: "elem", + elem: img + }, { + type: "kern", + size: ruleWidth + }] + }, options); + + if (!group.index) { + return buildCommon.makeSpan(["mord", "sqrt"], [body], options); + } else { + // Handle the optional root index + // The index is always in scriptscript style + var newOptions = options.havingStyle(Style$1.SCRIPTSCRIPT); + var rootm = buildGroup$1(group.index, newOptions, options); // The amount the index is shifted by. This is taken from the TeX + // source, in the definition of `\r@@t`. + + var toShift = 0.6 * (body.height - body.depth); // Build a VList with the superscript shifted up correctly + + var rootVList = buildCommon.makeVList({ + positionType: "shift", + positionData: -toShift, + children: [{ + type: "elem", + elem: rootm + }] + }, options); // Add a class surrounding it so we can add on the appropriate + // kerning + + var rootVListWrap = buildCommon.makeSpan(["root"], [rootVList]); + return buildCommon.makeSpan(["mord", "sqrt"], [rootVListWrap, body], options); + } + }, + + mathmlBuilder(group, options) { + var { + body, + index + } = group; + return index ? new mathMLTree.MathNode("mroot", [buildGroup(body, options), buildGroup(index, options)]) : new mathMLTree.MathNode("msqrt", [buildGroup(body, options)]); + } + +}); + +var styleMap = { + "display": Style$1.DISPLAY, + "text": Style$1.TEXT, + "script": Style$1.SCRIPT, + "scriptscript": Style$1.SCRIPTSCRIPT +}; +defineFunction({ + type: "styling", + names: ["\\displaystyle", "\\textstyle", "\\scriptstyle", "\\scriptscriptstyle"], + props: { + numArgs: 0, + allowedInText: true, + primitive: true + }, + + handler(_ref, args) { + var { + breakOnTokenText, + funcName, + parser + } = _ref; + // parse out the implicit body + var body = parser.parseExpression(true, breakOnTokenText); // TODO: Refactor to avoid duplicating styleMap in multiple places (e.g. + // here and in buildHTML and de-dupe the enumeration of all the styles). + // $FlowFixMe: The names above exactly match the styles. + + var style = funcName.slice(1, funcName.length - 5); + return { + type: "styling", + mode: parser.mode, + // Figure out what style to use by pulling out the style from + // the function name + style, + body + }; + }, + + htmlBuilder(group, options) { + // Style changes are handled in the TeXbook on pg. 442, Rule 3. + var newStyle = styleMap[group.style]; + var newOptions = options.havingStyle(newStyle).withFont(''); + return sizingGroup(group.body, newOptions, options); + }, + + mathmlBuilder(group, options) { + // Figure out what style we're changing to. + var newStyle = styleMap[group.style]; + var newOptions = options.havingStyle(newStyle); + var inner = buildExpression(group.body, newOptions); + var node = new mathMLTree.MathNode("mstyle", inner); + var styleAttributes = { + "display": ["0", "true"], + "text": ["0", "false"], + "script": ["1", "false"], + "scriptscript": ["2", "false"] + }; + var attr = styleAttributes[group.style]; + node.setAttribute("scriptlevel", attr[0]); + node.setAttribute("displaystyle", attr[1]); + return node; + } + +}); + +/** + * Sometimes, groups perform special rules when they have superscripts or + * subscripts attached to them. This function lets the `supsub` group know that + * Sometimes, groups perform special rules when they have superscripts or + * its inner element should handle the superscripts and subscripts instead of + * handling them itself. + */ +var htmlBuilderDelegate = function htmlBuilderDelegate(group, options) { + var base = group.base; + + if (!base) { + return null; + } else if (base.type === "op") { + // Operators handle supsubs differently when they have limits + // (e.g. `\displaystyle\sum_2^3`) + var delegate = base.limits && (options.style.size === Style$1.DISPLAY.size || base.alwaysHandleSupSub); + return delegate ? htmlBuilder$2 : null; + } else if (base.type === "operatorname") { + var _delegate = base.alwaysHandleSupSub && (options.style.size === Style$1.DISPLAY.size || base.limits); + + return _delegate ? htmlBuilder$1 : null; + } else if (base.type === "accent") { + return utils.isCharacterBox(base.base) ? htmlBuilder$a : null; + } else if (base.type === "horizBrace") { + var isSup = !group.sub; + return isSup === base.isOver ? htmlBuilder$3 : null; + } else { + return null; + } +}; // Super scripts and subscripts, whose precise placement can depend on other +// functions that precede them. + + +defineFunctionBuilders({ + type: "supsub", + + htmlBuilder(group, options) { + // Superscript and subscripts are handled in the TeXbook on page + // 445-446, rules 18(a-f). + // Here is where we defer to the inner group if it should handle + // superscripts and subscripts itself. + var builderDelegate = htmlBuilderDelegate(group, options); + + if (builderDelegate) { + return builderDelegate(group, options); + } + + var { + base: valueBase, + sup: valueSup, + sub: valueSub + } = group; + var base = buildGroup$1(valueBase, options); + var supm; + var subm; + var metrics = options.fontMetrics(); // Rule 18a + + var supShift = 0; + var subShift = 0; + var isCharacterBox = valueBase && utils.isCharacterBox(valueBase); + + if (valueSup) { + var newOptions = options.havingStyle(options.style.sup()); + supm = buildGroup$1(valueSup, newOptions, options); + + if (!isCharacterBox) { + supShift = base.height - newOptions.fontMetrics().supDrop * newOptions.sizeMultiplier / options.sizeMultiplier; + } + } + + if (valueSub) { + var _newOptions = options.havingStyle(options.style.sub()); + + subm = buildGroup$1(valueSub, _newOptions, options); + + if (!isCharacterBox) { + subShift = base.depth + _newOptions.fontMetrics().subDrop * _newOptions.sizeMultiplier / options.sizeMultiplier; + } + } // Rule 18c + + + var minSupShift; + + if (options.style === Style$1.DISPLAY) { + minSupShift = metrics.sup1; + } else if (options.style.cramped) { + minSupShift = metrics.sup3; + } else { + minSupShift = metrics.sup2; + } // scriptspace is a font-size-independent size, so scale it + // appropriately for use as the marginRight. + + + var multiplier = options.sizeMultiplier; + var marginRight = makeEm(0.5 / metrics.ptPerEm / multiplier); + var marginLeft = null; + + if (subm) { + // Subscripts shouldn't be shifted by the base's italic correction. + // Account for that by shifting the subscript back the appropriate + // amount. Note we only do this when the base is a single symbol. + var isOiint = group.base && group.base.type === "op" && group.base.name && (group.base.name === "\\oiint" || group.base.name === "\\oiiint"); + + if (base instanceof SymbolNode || isOiint) { + // $FlowFixMe + marginLeft = makeEm(-base.italic); + } + } + + var supsub; + + if (supm && subm) { + supShift = Math.max(supShift, minSupShift, supm.depth + 0.25 * metrics.xHeight); + subShift = Math.max(subShift, metrics.sub2); + var ruleWidth = metrics.defaultRuleThickness; // Rule 18e + + var maxWidth = 4 * ruleWidth; + + if (supShift - supm.depth - (subm.height - subShift) < maxWidth) { + subShift = maxWidth - (supShift - supm.depth) + subm.height; + var psi = 0.8 * metrics.xHeight - (supShift - supm.depth); + + if (psi > 0) { + supShift += psi; + subShift -= psi; + } + } + + var vlistElem = [{ + type: "elem", + elem: subm, + shift: subShift, + marginRight, + marginLeft + }, { + type: "elem", + elem: supm, + shift: -supShift, + marginRight + }]; + supsub = buildCommon.makeVList({ + positionType: "individualShift", + children: vlistElem + }, options); + } else if (subm) { + // Rule 18b + subShift = Math.max(subShift, metrics.sub1, subm.height - 0.8 * metrics.xHeight); + var _vlistElem = [{ + type: "elem", + elem: subm, + marginLeft, + marginRight + }]; + supsub = buildCommon.makeVList({ + positionType: "shift", + positionData: subShift, + children: _vlistElem + }, options); + } else if (supm) { + // Rule 18c, d + supShift = Math.max(supShift, minSupShift, supm.depth + 0.25 * metrics.xHeight); + supsub = buildCommon.makeVList({ + positionType: "shift", + positionData: -supShift, + children: [{ + type: "elem", + elem: supm, + marginRight + }] + }, options); + } else { + throw new Error("supsub must have either sup or sub."); + } // Wrap the supsub vlist in a span.msupsub to reset text-align. + + + var mclass = getTypeOfDomTree(base, "right") || "mord"; + return buildCommon.makeSpan([mclass], [base, buildCommon.makeSpan(["msupsub"], [supsub])], options); + }, + + mathmlBuilder(group, options) { + // Is the inner group a relevant horizonal brace? + var isBrace = false; + var isOver; + var isSup; + + if (group.base && group.base.type === "horizBrace") { + isSup = !!group.sup; + + if (isSup === group.base.isOver) { + isBrace = true; + isOver = group.base.isOver; + } + } + + if (group.base && (group.base.type === "op" || group.base.type === "operatorname")) { + group.base.parentIsSupSub = true; + } + + var children = [buildGroup(group.base, options)]; + + if (group.sub) { + children.push(buildGroup(group.sub, options)); + } + + if (group.sup) { + children.push(buildGroup(group.sup, options)); + } + + var nodeType; + + if (isBrace) { + nodeType = isOver ? "mover" : "munder"; + } else if (!group.sub) { + var base = group.base; + + if (base && base.type === "op" && base.limits && (options.style === Style$1.DISPLAY || base.alwaysHandleSupSub)) { + nodeType = "mover"; + } else if (base && base.type === "operatorname" && base.alwaysHandleSupSub && (base.limits || options.style === Style$1.DISPLAY)) { + nodeType = "mover"; + } else { + nodeType = "msup"; + } + } else if (!group.sup) { + var _base = group.base; + + if (_base && _base.type === "op" && _base.limits && (options.style === Style$1.DISPLAY || _base.alwaysHandleSupSub)) { + nodeType = "munder"; + } else if (_base && _base.type === "operatorname" && _base.alwaysHandleSupSub && (_base.limits || options.style === Style$1.DISPLAY)) { + nodeType = "munder"; + } else { + nodeType = "msub"; + } + } else { + var _base2 = group.base; + + if (_base2 && _base2.type === "op" && _base2.limits && options.style === Style$1.DISPLAY) { + nodeType = "munderover"; + } else if (_base2 && _base2.type === "operatorname" && _base2.alwaysHandleSupSub && (options.style === Style$1.DISPLAY || _base2.limits)) { + nodeType = "munderover"; + } else { + nodeType = "msubsup"; + } + } + + return new mathMLTree.MathNode(nodeType, children); + } + +}); + +defineFunctionBuilders({ + type: "atom", + + htmlBuilder(group, options) { + return buildCommon.mathsym(group.text, group.mode, options, ["m" + group.family]); + }, + + mathmlBuilder(group, options) { + var node = new mathMLTree.MathNode("mo", [makeText(group.text, group.mode)]); + + if (group.family === "bin") { + var variant = getVariant(group, options); + + if (variant === "bold-italic") { + node.setAttribute("mathvariant", variant); + } + } else if (group.family === "punct") { + node.setAttribute("separator", "true"); + } else if (group.family === "open" || group.family === "close") { + // Delims built here should not stretch vertically. + // See delimsizing.js for stretchy delims. + node.setAttribute("stretchy", "false"); + } + + return node; + } + +}); + +// "mathord" and "textord" ParseNodes created in Parser.js from symbol Groups in +// src/symbols.js. +var defaultVariant = { + "mi": "italic", + "mn": "normal", + "mtext": "normal" +}; +defineFunctionBuilders({ + type: "mathord", + + htmlBuilder(group, options) { + return buildCommon.makeOrd(group, options, "mathord"); + }, + + mathmlBuilder(group, options) { + var node = new mathMLTree.MathNode("mi", [makeText(group.text, group.mode, options)]); + var variant = getVariant(group, options) || "italic"; + + if (variant !== defaultVariant[node.type]) { + node.setAttribute("mathvariant", variant); + } + + return node; + } + +}); +defineFunctionBuilders({ + type: "textord", + + htmlBuilder(group, options) { + return buildCommon.makeOrd(group, options, "textord"); + }, + + mathmlBuilder(group, options) { + var text = makeText(group.text, group.mode, options); + var variant = getVariant(group, options) || "normal"; + var node; + + if (group.mode === 'text') { + node = new mathMLTree.MathNode("mtext", [text]); + } else if (/[0-9]/.test(group.text)) { + node = new mathMLTree.MathNode("mn", [text]); + } else if (group.text === "\\prime") { + node = new mathMLTree.MathNode("mo", [text]); + } else { + node = new mathMLTree.MathNode("mi", [text]); + } + + if (variant !== defaultVariant[node.type]) { + node.setAttribute("mathvariant", variant); + } + + return node; + } + +}); + +var cssSpace = { + "\\nobreak": "nobreak", + "\\allowbreak": "allowbreak" +}; // A lookup table to determine whether a spacing function/symbol should be +// treated like a regular space character. If a symbol or command is a key +// in this table, then it should be a regular space character. Furthermore, +// the associated value may have a `className` specifying an extra CSS class +// to add to the created `span`. + +var regularSpace = { + " ": {}, + "\\ ": {}, + "~": { + className: "nobreak" + }, + "\\space": {}, + "\\nobreakspace": { + className: "nobreak" + } +}; // ParseNode<"spacing"> created in Parser.js from the "spacing" symbol Groups in +// src/symbols.js. + +defineFunctionBuilders({ + type: "spacing", + + htmlBuilder(group, options) { + if (regularSpace.hasOwnProperty(group.text)) { + var className = regularSpace[group.text].className || ""; // Spaces are generated by adding an actual space. Each of these + // things has an entry in the symbols table, so these will be turned + // into appropriate outputs. + + if (group.mode === "text") { + var ord = buildCommon.makeOrd(group, options, "textord"); + ord.classes.push(className); + return ord; + } else { + return buildCommon.makeSpan(["mspace", className], [buildCommon.mathsym(group.text, group.mode, options)], options); + } + } else if (cssSpace.hasOwnProperty(group.text)) { + // Spaces based on just a CSS class. + return buildCommon.makeSpan(["mspace", cssSpace[group.text]], [], options); + } else { + throw new ParseError("Unknown type of space \"" + group.text + "\""); + } + }, + + mathmlBuilder(group, options) { + var node; + + if (regularSpace.hasOwnProperty(group.text)) { + node = new mathMLTree.MathNode("mtext", [new mathMLTree.TextNode("\u00a0")]); + } else if (cssSpace.hasOwnProperty(group.text)) { + // CSS-based MathML spaces (\nobreak, \allowbreak) are ignored + return new mathMLTree.MathNode("mspace"); + } else { + throw new ParseError("Unknown type of space \"" + group.text + "\""); + } + + return node; + } + +}); + +var pad = () => { + var padNode = new mathMLTree.MathNode("mtd", []); + padNode.setAttribute("width", "50%"); + return padNode; +}; + +defineFunctionBuilders({ + type: "tag", + + mathmlBuilder(group, options) { + var table = new mathMLTree.MathNode("mtable", [new mathMLTree.MathNode("mtr", [pad(), new mathMLTree.MathNode("mtd", [buildExpressionRow(group.body, options)]), pad(), new mathMLTree.MathNode("mtd", [buildExpressionRow(group.tag, options)])])]); + table.setAttribute("width", "100%"); + return table; // TODO: Left-aligned tags. + // Currently, the group and options passed here do not contain + // enough info to set tag alignment. `leqno` is in Settings but it is + // not passed to Options. On the HTML side, leqno is + // set by a CSS class applied in buildTree.js. That would have worked + // in MathML if browsers supported . Since they don't, we + // need to rewrite the way this function is called. + } + +}); + +var textFontFamilies = { + "\\text": undefined, + "\\textrm": "textrm", + "\\textsf": "textsf", + "\\texttt": "texttt", + "\\textnormal": "textrm" +}; +var textFontWeights = { + "\\textbf": "textbf", + "\\textmd": "textmd" +}; +var textFontShapes = { + "\\textit": "textit", + "\\textup": "textup" +}; + +var optionsWithFont = (group, options) => { + var font = group.font; // Checks if the argument is a font family or a font style. + + if (!font) { + return options; + } else if (textFontFamilies[font]) { + return options.withTextFontFamily(textFontFamilies[font]); + } else if (textFontWeights[font]) { + return options.withTextFontWeight(textFontWeights[font]); + } else { + return options.withTextFontShape(textFontShapes[font]); + } +}; + +defineFunction({ + type: "text", + names: [// Font families + "\\text", "\\textrm", "\\textsf", "\\texttt", "\\textnormal", // Font weights + "\\textbf", "\\textmd", // Font Shapes + "\\textit", "\\textup"], + props: { + numArgs: 1, + argTypes: ["text"], + allowedInArgument: true, + allowedInText: true + }, + + handler(_ref, args) { + var { + parser, + funcName + } = _ref; + var body = args[0]; + return { + type: "text", + mode: parser.mode, + body: ordargument(body), + font: funcName + }; + }, + + htmlBuilder(group, options) { + var newOptions = optionsWithFont(group, options); + var inner = buildExpression$1(group.body, newOptions, true); + return buildCommon.makeSpan(["mord", "text"], inner, newOptions); + }, + + mathmlBuilder(group, options) { + var newOptions = optionsWithFont(group, options); + return buildExpressionRow(group.body, newOptions); + } + +}); + +defineFunction({ + type: "underline", + names: ["\\underline"], + props: { + numArgs: 1, + allowedInText: true + }, + + handler(_ref, args) { + var { + parser + } = _ref; + return { + type: "underline", + mode: parser.mode, + body: args[0] + }; + }, + + htmlBuilder(group, options) { + // Underlines are handled in the TeXbook pg 443, Rule 10. + // Build the inner group. + var innerGroup = buildGroup$1(group.body, options); // Create the line to go below the body + + var line = buildCommon.makeLineSpan("underline-line", options); // Generate the vlist, with the appropriate kerns + + var defaultRuleThickness = options.fontMetrics().defaultRuleThickness; + var vlist = buildCommon.makeVList({ + positionType: "top", + positionData: innerGroup.height, + children: [{ + type: "kern", + size: defaultRuleThickness + }, { + type: "elem", + elem: line + }, { + type: "kern", + size: 3 * defaultRuleThickness + }, { + type: "elem", + elem: innerGroup + }] + }, options); + return buildCommon.makeSpan(["mord", "underline"], [vlist], options); + }, + + mathmlBuilder(group, options) { + var operator = new mathMLTree.MathNode("mo", [new mathMLTree.TextNode("\u203e")]); + operator.setAttribute("stretchy", "true"); + var node = new mathMLTree.MathNode("munder", [buildGroup(group.body, options), operator]); + node.setAttribute("accentunder", "true"); + return node; + } + +}); + +defineFunction({ + type: "vcenter", + names: ["\\vcenter"], + props: { + numArgs: 1, + argTypes: ["original"], + // In LaTeX, \vcenter can act only on a box. + allowedInText: false + }, + + handler(_ref, args) { + var { + parser + } = _ref; + return { + type: "vcenter", + mode: parser.mode, + body: args[0] + }; + }, + + htmlBuilder(group, options) { + var body = buildGroup$1(group.body, options); + var axisHeight = options.fontMetrics().axisHeight; + var dy = 0.5 * (body.height - axisHeight - (body.depth + axisHeight)); + return buildCommon.makeVList({ + positionType: "shift", + positionData: dy, + children: [{ + type: "elem", + elem: body + }] + }, options); + }, + + mathmlBuilder(group, options) { + // There is no way to do this in MathML. + // Write a class as a breadcrumb in case some post-processor wants + // to perform a vcenter adjustment. + return new mathMLTree.MathNode("mpadded", [buildGroup(group.body, options)], ["vcenter"]); + } + +}); + +defineFunction({ + type: "verb", + names: ["\\verb"], + props: { + numArgs: 0, + allowedInText: true + }, + + handler(context, args, optArgs) { + // \verb and \verb* are dealt with directly in Parser.js. + // If we end up here, it's because of a failure to match the two delimiters + // in the regex in Lexer.js. LaTeX raises the following error when \verb is + // terminated by end of line (or file). + throw new ParseError("\\verb ended by end of line instead of matching delimiter"); + }, + + htmlBuilder(group, options) { + var text = makeVerb(group); + var body = []; // \verb enters text mode and therefore is sized like \textstyle + + var newOptions = options.havingStyle(options.style.text()); + + for (var i = 0; i < text.length; i++) { + var c = text[i]; + + if (c === '~') { + c = '\\textasciitilde'; + } + + body.push(buildCommon.makeSymbol(c, "Typewriter-Regular", group.mode, newOptions, ["mord", "texttt"])); + } + + return buildCommon.makeSpan(["mord", "text"].concat(newOptions.sizingClasses(options)), buildCommon.tryCombineChars(body), newOptions); + }, + + mathmlBuilder(group, options) { + var text = new mathMLTree.TextNode(makeVerb(group)); + var node = new mathMLTree.MathNode("mtext", [text]); + node.setAttribute("mathvariant", "monospace"); + return node; + } + +}); +/** + * Converts verb group into body string. + * + * \verb* replaces each space with an open box \u2423 + * \verb replaces each space with a no-break space \xA0 + */ + +var makeVerb = group => group.body.replace(/ /g, group.star ? '\u2423' : '\xA0'); + +/** Include this to ensure that all functions are defined. */ +var functions = _functions; + +/** + * The Lexer class handles tokenizing the input in various ways. Since our + * parser expects us to be able to backtrack, the lexer allows lexing from any + * given starting point. + * + * Its main exposed function is the `lex` function, which takes a position to + * lex from and a type of token to lex. It defers to the appropriate `_innerLex` + * function. + * + * The various `_innerLex` functions perform the actual lexing of different + * kinds. + */ + +/* The following tokenRegex + * - matches typical whitespace (but not NBSP etc.) using its first group + * - does not match any control character \x00-\x1f except whitespace + * - does not match a bare backslash + * - matches any ASCII character except those just mentioned + * - does not match the BMP private use area \uE000-\uF8FF + * - does not match bare surrogate code units + * - matches any BMP character except for those just described + * - matches any valid Unicode surrogate pair + * - matches a backslash followed by one or more whitespace characters + * - matches a backslash followed by one or more letters then whitespace + * - matches a backslash followed by any BMP character + * Capturing groups: + * [1] regular whitespace + * [2] backslash followed by whitespace + * [3] anything else, which may include: + * [4] left character of \verb* + * [5] left character of \verb + * [6] backslash followed by word, excluding any trailing whitespace + * Just because the Lexer matches something doesn't mean it's valid input: + * If there is no matching function or symbol definition, the Parser will + * still reject the input. + */ +var spaceRegexString = "[ \r\n\t]"; +var controlWordRegexString = "\\\\[a-zA-Z@]+"; +var controlSymbolRegexString = "\\\\[^\uD800-\uDFFF]"; +var controlWordWhitespaceRegexString = "(" + controlWordRegexString + ")" + spaceRegexString + "*"; +var controlSpaceRegexString = "\\\\(\n|[ \r\t]+\n?)[ \r\t]*"; +var combiningDiacriticalMarkString = "[\u0300-\u036f]"; +var combiningDiacriticalMarksEndRegex = new RegExp(combiningDiacriticalMarkString + "+$"); +var tokenRegexString = "(" + spaceRegexString + "+)|" + ( // whitespace +controlSpaceRegexString + "|") + // \whitespace +"([!-\\[\\]-\u2027\u202A-\uD7FF\uF900-\uFFFF]" + ( // single codepoint +combiningDiacriticalMarkString + "*") + // ...plus accents +"|[\uD800-\uDBFF][\uDC00-\uDFFF]" + ( // surrogate pair +combiningDiacriticalMarkString + "*") + // ...plus accents +"|\\\\verb\\*([^]).*?\\4" + // \verb* +"|\\\\verb([^*a-zA-Z]).*?\\5" + ( // \verb unstarred +"|" + controlWordWhitespaceRegexString) + ( // \macroName + spaces +"|" + controlSymbolRegexString + ")"); // \\, \', etc. + +/** Main Lexer class */ + +class Lexer { + // Category codes. The lexer only supports comment characters (14) for now. + // MacroExpander additionally distinguishes active (13). + constructor(input, settings) { + this.input = void 0; + this.settings = void 0; + this.tokenRegex = void 0; + this.catcodes = void 0; + // Separate accents from characters + this.input = input; + this.settings = settings; + this.tokenRegex = new RegExp(tokenRegexString, 'g'); + this.catcodes = { + "%": 14, + // comment character + "~": 13 // active character + + }; + } + + setCatcode(char, code) { + this.catcodes[char] = code; + } + /** + * This function lexes a single token. + */ + + + lex() { + var input = this.input; + var pos = this.tokenRegex.lastIndex; + + if (pos === input.length) { + return new Token("EOF", new SourceLocation(this, pos, pos)); + } + + var match = this.tokenRegex.exec(input); + + if (match === null || match.index !== pos) { + throw new ParseError("Unexpected character: '" + input[pos] + "'", new Token(input[pos], new SourceLocation(this, pos, pos + 1))); + } + + var text = match[6] || match[3] || (match[2] ? "\\ " : " "); + + if (this.catcodes[text] === 14) { + // comment character + var nlIndex = input.indexOf('\n', this.tokenRegex.lastIndex); + + if (nlIndex === -1) { + this.tokenRegex.lastIndex = input.length; // EOF + + this.settings.reportNonstrict("commentAtEnd", "% comment has no terminating newline; LaTeX would " + "fail because of commenting the end of math mode (e.g. $)"); + } else { + this.tokenRegex.lastIndex = nlIndex + 1; + } + + return this.lex(); + } + + return new Token(text, new SourceLocation(this, pos, this.tokenRegex.lastIndex)); + } + +} + +/** + * A `Namespace` refers to a space of nameable things like macros or lengths, + * which can be `set` either globally or local to a nested group, using an + * undo stack similar to how TeX implements this functionality. + * Performance-wise, `get` and local `set` take constant time, while global + * `set` takes time proportional to the depth of group nesting. + */ +class Namespace { + /** + * Both arguments are optional. The first argument is an object of + * built-in mappings which never change. The second argument is an object + * of initial (global-level) mappings, which will constantly change + * according to any global/top-level `set`s done. + */ + constructor(builtins, globalMacros) { + if (builtins === void 0) { + builtins = {}; + } + + if (globalMacros === void 0) { + globalMacros = {}; + } + + this.current = void 0; + this.builtins = void 0; + this.undefStack = void 0; + this.current = globalMacros; + this.builtins = builtins; + this.undefStack = []; + } + /** + * Start a new nested group, affecting future local `set`s. + */ + + + beginGroup() { + this.undefStack.push({}); + } + /** + * End current nested group, restoring values before the group began. + */ + + + endGroup() { + if (this.undefStack.length === 0) { + throw new ParseError("Unbalanced namespace destruction: attempt " + "to pop global namespace; please report this as a bug"); + } + + var undefs = this.undefStack.pop(); + + for (var undef in undefs) { + if (undefs.hasOwnProperty(undef)) { + if (undefs[undef] == null) { + delete this.current[undef]; + } else { + this.current[undef] = undefs[undef]; + } + } + } + } + /** + * Ends all currently nested groups (if any), restoring values before the + * groups began. Useful in case of an error in the middle of parsing. + */ + + + endGroups() { + while (this.undefStack.length > 0) { + this.endGroup(); + } + } + /** + * Detect whether `name` has a definition. Equivalent to + * `get(name) != null`. + */ + + + has(name) { + return this.current.hasOwnProperty(name) || this.builtins.hasOwnProperty(name); + } + /** + * Get the current value of a name, or `undefined` if there is no value. + * + * Note: Do not use `if (namespace.get(...))` to detect whether a macro + * is defined, as the definition may be the empty string which evaluates + * to `false` in JavaScript. Use `if (namespace.get(...) != null)` or + * `if (namespace.has(...))`. + */ + + + get(name) { + if (this.current.hasOwnProperty(name)) { + return this.current[name]; + } else { + return this.builtins[name]; + } + } + /** + * Set the current value of a name, and optionally set it globally too. + * Local set() sets the current value and (when appropriate) adds an undo + * operation to the undo stack. Global set() may change the undo + * operation at every level, so takes time linear in their number. + * A value of undefined means to delete existing definitions. + */ + + + set(name, value, global) { + if (global === void 0) { + global = false; + } + + if (global) { + // Global set is equivalent to setting in all groups. Simulate this + // by destroying any undos currently scheduled for this name, + // and adding an undo with the *new* value (in case it later gets + // locally reset within this environment). + for (var i = 0; i < this.undefStack.length; i++) { + delete this.undefStack[i][name]; + } + + if (this.undefStack.length > 0) { + this.undefStack[this.undefStack.length - 1][name] = value; + } + } else { + // Undo this set at end of this group (possibly to `undefined`), + // unless an undo is already in place, in which case that older + // value is the correct one. + var top = this.undefStack[this.undefStack.length - 1]; + + if (top && !top.hasOwnProperty(name)) { + top[name] = this.current[name]; + } + } + + if (value == null) { + delete this.current[name]; + } else { + this.current[name] = value; + } + } + +} + +/** + * Predefined macros for KaTeX. + * This can be used to define some commands in terms of others. + */ +var macros = _macros; +// macro tools + +defineMacro("\\noexpand", function (context) { + // The expansion is the token itself; but that token is interpreted + // as if its meaning were ‘\relax’ if it is a control sequence that + // would ordinarily be expanded by TeX’s expansion rules. + var t = context.popToken(); + + if (context.isExpandable(t.text)) { + t.noexpand = true; + t.treatAsRelax = true; + } + + return { + tokens: [t], + numArgs: 0 + }; +}); +defineMacro("\\expandafter", function (context) { + // TeX first reads the token that comes immediately after \expandafter, + // without expanding it; let’s call this token t. Then TeX reads the + // token that comes after t (and possibly more tokens, if that token + // has an argument), replacing it by its expansion. Finally TeX puts + // t back in front of that expansion. + var t = context.popToken(); + context.expandOnce(true); // expand only an expandable token + + return { + tokens: [t], + numArgs: 0 + }; +}); // LaTeX's \@firstoftwo{#1}{#2} expands to #1, skipping #2 +// TeX source: \long\def\@firstoftwo#1#2{#1} + +defineMacro("\\@firstoftwo", function (context) { + var args = context.consumeArgs(2); + return { + tokens: args[0], + numArgs: 0 + }; +}); // LaTeX's \@secondoftwo{#1}{#2} expands to #2, skipping #1 +// TeX source: \long\def\@secondoftwo#1#2{#2} + +defineMacro("\\@secondoftwo", function (context) { + var args = context.consumeArgs(2); + return { + tokens: args[1], + numArgs: 0 + }; +}); // LaTeX's \@ifnextchar{#1}{#2}{#3} looks ahead to the next (unexpanded) +// symbol that isn't a space, consuming any spaces but not consuming the +// first nonspace character. If that nonspace character matches #1, then +// the macro expands to #2; otherwise, it expands to #3. + +defineMacro("\\@ifnextchar", function (context) { + var args = context.consumeArgs(3); // symbol, if, else + + context.consumeSpaces(); + var nextToken = context.future(); + + if (args[0].length === 1 && args[0][0].text === nextToken.text) { + return { + tokens: args[1], + numArgs: 0 + }; + } else { + return { + tokens: args[2], + numArgs: 0 + }; + } +}); // LaTeX's \@ifstar{#1}{#2} looks ahead to the next (unexpanded) symbol. +// If it is `*`, then it consumes the symbol, and the macro expands to #1; +// otherwise, the macro expands to #2 (without consuming the symbol). +// TeX source: \def\@ifstar#1{\@ifnextchar *{\@firstoftwo{#1}}} + +defineMacro("\\@ifstar", "\\@ifnextchar *{\\@firstoftwo{#1}}"); // LaTeX's \TextOrMath{#1}{#2} expands to #1 in text mode, #2 in math mode + +defineMacro("\\TextOrMath", function (context) { + var args = context.consumeArgs(2); + + if (context.mode === 'text') { + return { + tokens: args[0], + numArgs: 0 + }; + } else { + return { + tokens: args[1], + numArgs: 0 + }; + } +}); // Lookup table for parsing numbers in base 8 through 16 + +var digitToNumber = { + "0": 0, + "1": 1, + "2": 2, + "3": 3, + "4": 4, + "5": 5, + "6": 6, + "7": 7, + "8": 8, + "9": 9, + "a": 10, + "A": 10, + "b": 11, + "B": 11, + "c": 12, + "C": 12, + "d": 13, + "D": 13, + "e": 14, + "E": 14, + "f": 15, + "F": 15 +}; // TeX \char makes a literal character (catcode 12) using the following forms: +// (see The TeXBook, p. 43) +// \char123 -- decimal +// \char'123 -- octal +// \char"123 -- hex +// \char`x -- character that can be written (i.e. isn't active) +// \char`\x -- character that cannot be written (e.g. %) +// These all refer to characters from the font, so we turn them into special +// calls to a function \@char dealt with in the Parser. + +defineMacro("\\char", function (context) { + var token = context.popToken(); + var base; + var number = ''; + + if (token.text === "'") { + base = 8; + token = context.popToken(); + } else if (token.text === '"') { + base = 16; + token = context.popToken(); + } else if (token.text === "`") { + token = context.popToken(); + + if (token.text[0] === "\\") { + number = token.text.charCodeAt(1); + } else if (token.text === "EOF") { + throw new ParseError("\\char` missing argument"); + } else { + number = token.text.charCodeAt(0); + } + } else { + base = 10; + } + + if (base) { + // Parse a number in the given base, starting with first `token`. + number = digitToNumber[token.text]; + + if (number == null || number >= base) { + throw new ParseError("Invalid base-" + base + " digit " + token.text); + } + + var digit; + + while ((digit = digitToNumber[context.future().text]) != null && digit < base) { + number *= base; + number += digit; + context.popToken(); + } + } + + return "\\@char{" + number + "}"; +}); // \newcommand{\macro}[args]{definition} +// \renewcommand{\macro}[args]{definition} +// TODO: Optional arguments: \newcommand{\macro}[args][default]{definition} + +var newcommand = (context, existsOK, nonexistsOK) => { + var arg = context.consumeArg().tokens; + + if (arg.length !== 1) { + throw new ParseError("\\newcommand's first argument must be a macro name"); + } + + var name = arg[0].text; + var exists = context.isDefined(name); + + if (exists && !existsOK) { + throw new ParseError("\\newcommand{" + name + "} attempting to redefine " + (name + "; use \\renewcommand")); + } + + if (!exists && !nonexistsOK) { + throw new ParseError("\\renewcommand{" + name + "} when command " + name + " " + "does not yet exist; use \\newcommand"); + } + + var numArgs = 0; + arg = context.consumeArg().tokens; + + if (arg.length === 1 && arg[0].text === "[") { + var argText = ''; + var token = context.expandNextToken(); + + while (token.text !== "]" && token.text !== "EOF") { + // TODO: Should properly expand arg, e.g., ignore {}s + argText += token.text; + token = context.expandNextToken(); + } + + if (!argText.match(/^\s*[0-9]+\s*$/)) { + throw new ParseError("Invalid number of arguments: " + argText); + } + + numArgs = parseInt(argText); + arg = context.consumeArg().tokens; + } // Final arg is the expansion of the macro + + + context.macros.set(name, { + tokens: arg, + numArgs + }); + return ''; +}; + +defineMacro("\\newcommand", context => newcommand(context, false, true)); +defineMacro("\\renewcommand", context => newcommand(context, true, false)); +defineMacro("\\providecommand", context => newcommand(context, true, true)); // terminal (console) tools + +defineMacro("\\message", context => { + var arg = context.consumeArgs(1)[0]; // eslint-disable-next-line no-console + + console.log(arg.reverse().map(token => token.text).join("")); + return ''; +}); +defineMacro("\\errmessage", context => { + var arg = context.consumeArgs(1)[0]; // eslint-disable-next-line no-console + + console.error(arg.reverse().map(token => token.text).join("")); + return ''; +}); +defineMacro("\\show", context => { + var tok = context.popToken(); + var name = tok.text; // eslint-disable-next-line no-console + + console.log(tok, context.macros.get(name), functions[name], symbols.math[name], symbols.text[name]); + return ''; +}); ////////////////////////////////////////////////////////////////////// +// Grouping +// \let\bgroup={ \let\egroup=} + +defineMacro("\\bgroup", "{"); +defineMacro("\\egroup", "}"); // Symbols from latex.ltx: +// \def~{\nobreakspace{}} +// \def\lq{`} +// \def\rq{'} +// \def \aa {\r a} +// \def \AA {\r A} + +defineMacro("~", "\\nobreakspace"); +defineMacro("\\lq", "`"); +defineMacro("\\rq", "'"); +defineMacro("\\aa", "\\r a"); +defineMacro("\\AA", "\\r A"); // Copyright (C) and registered (R) symbols. Use raw symbol in MathML. +// \DeclareTextCommandDefault{\textcopyright}{\textcircled{c}} +// \DeclareTextCommandDefault{\textregistered}{\textcircled{% +// \check@mathfonts\fontsize\sf@size\z@\math@fontsfalse\selectfont R}} +// \DeclareRobustCommand{\copyright}{% +// \ifmmode{\nfss@text{\textcopyright}}\else\textcopyright\fi} + +defineMacro("\\textcopyright", "\\html@mathml{\\textcircled{c}}{\\char`©}"); +defineMacro("\\copyright", "\\TextOrMath{\\textcopyright}{\\text{\\textcopyright}}"); +defineMacro("\\textregistered", "\\html@mathml{\\textcircled{\\scriptsize R}}{\\char`®}"); // Characters omitted from Unicode range 1D400–1D7FF + +defineMacro("\u212C", "\\mathscr{B}"); // script + +defineMacro("\u2130", "\\mathscr{E}"); +defineMacro("\u2131", "\\mathscr{F}"); +defineMacro("\u210B", "\\mathscr{H}"); +defineMacro("\u2110", "\\mathscr{I}"); +defineMacro("\u2112", "\\mathscr{L}"); +defineMacro("\u2133", "\\mathscr{M}"); +defineMacro("\u211B", "\\mathscr{R}"); +defineMacro("\u212D", "\\mathfrak{C}"); // Fraktur + +defineMacro("\u210C", "\\mathfrak{H}"); +defineMacro("\u2128", "\\mathfrak{Z}"); // Define \Bbbk with a macro that works in both HTML and MathML. + +defineMacro("\\Bbbk", "\\Bbb{k}"); // Unicode middle dot +// The KaTeX fonts do not contain U+00B7. Instead, \cdotp displays +// the dot at U+22C5 and gives it punct spacing. + +defineMacro("\u00b7", "\\cdotp"); // \llap and \rlap render their contents in text mode + +defineMacro("\\llap", "\\mathllap{\\textrm{#1}}"); +defineMacro("\\rlap", "\\mathrlap{\\textrm{#1}}"); +defineMacro("\\clap", "\\mathclap{\\textrm{#1}}"); // \mathstrut from the TeXbook, p 360 + +defineMacro("\\mathstrut", "\\vphantom{(}"); // \underbar from TeXbook p 353 + +defineMacro("\\underbar", "\\underline{\\text{#1}}"); // \not is defined by base/fontmath.ltx via +// \DeclareMathSymbol{\not}{\mathrel}{symbols}{"36} +// It's thus treated like a \mathrel, but defined by a symbol that has zero +// width but extends to the right. We use \rlap to get that spacing. +// For MathML we write U+0338 here. buildMathML.js will then do the overlay. + +defineMacro("\\not", '\\html@mathml{\\mathrel{\\mathrlap\\@not}}{\\char"338}'); // Negated symbols from base/fontmath.ltx: +// \def\neq{\not=} \let\ne=\neq +// \DeclareRobustCommand +// \notin{\mathrel{\m@th\mathpalette\c@ncel\in}} +// \def\c@ncel#1#2{\m@th\ooalign{$\hfil#1\mkern1mu/\hfil$\crcr$#1#2$}} + +defineMacro("\\neq", "\\html@mathml{\\mathrel{\\not=}}{\\mathrel{\\char`≠}}"); +defineMacro("\\ne", "\\neq"); +defineMacro("\u2260", "\\neq"); +defineMacro("\\notin", "\\html@mathml{\\mathrel{{\\in}\\mathllap{/\\mskip1mu}}}" + "{\\mathrel{\\char`∉}}"); +defineMacro("\u2209", "\\notin"); // Unicode stacked relations + +defineMacro("\u2258", "\\html@mathml{" + "\\mathrel{=\\kern{-1em}\\raisebox{0.4em}{$\\scriptsize\\frown$}}" + "}{\\mathrel{\\char`\u2258}}"); +defineMacro("\u2259", "\\html@mathml{\\stackrel{\\tiny\\wedge}{=}}{\\mathrel{\\char`\u2258}}"); +defineMacro("\u225A", "\\html@mathml{\\stackrel{\\tiny\\vee}{=}}{\\mathrel{\\char`\u225A}}"); +defineMacro("\u225B", "\\html@mathml{\\stackrel{\\scriptsize\\star}{=}}" + "{\\mathrel{\\char`\u225B}}"); +defineMacro("\u225D", "\\html@mathml{\\stackrel{\\tiny\\mathrm{def}}{=}}" + "{\\mathrel{\\char`\u225D}}"); +defineMacro("\u225E", "\\html@mathml{\\stackrel{\\tiny\\mathrm{m}}{=}}" + "{\\mathrel{\\char`\u225E}}"); +defineMacro("\u225F", "\\html@mathml{\\stackrel{\\tiny?}{=}}{\\mathrel{\\char`\u225F}}"); // Misc Unicode + +defineMacro("\u27C2", "\\perp"); +defineMacro("\u203C", "\\mathclose{!\\mkern-0.8mu!}"); +defineMacro("\u220C", "\\notni"); +defineMacro("\u231C", "\\ulcorner"); +defineMacro("\u231D", "\\urcorner"); +defineMacro("\u231E", "\\llcorner"); +defineMacro("\u231F", "\\lrcorner"); +defineMacro("\u00A9", "\\copyright"); +defineMacro("\u00AE", "\\textregistered"); +defineMacro("\uFE0F", "\\textregistered"); // The KaTeX fonts have corners at codepoints that don't match Unicode. +// For MathML purposes, use the Unicode code point. + +defineMacro("\\ulcorner", "\\html@mathml{\\@ulcorner}{\\mathop{\\char\"231c}}"); +defineMacro("\\urcorner", "\\html@mathml{\\@urcorner}{\\mathop{\\char\"231d}}"); +defineMacro("\\llcorner", "\\html@mathml{\\@llcorner}{\\mathop{\\char\"231e}}"); +defineMacro("\\lrcorner", "\\html@mathml{\\@lrcorner}{\\mathop{\\char\"231f}}"); ////////////////////////////////////////////////////////////////////// +// LaTeX_2ε +// \vdots{\vbox{\baselineskip4\p@ \lineskiplimit\z@ +// \kern6\p@\hbox{.}\hbox{.}\hbox{.}}} +// We'll call \varvdots, which gets a glyph from symbols.js. +// The zero-width rule gets us an equivalent to the vertical 6pt kern. + +defineMacro("\\vdots", "\\mathord{\\varvdots\\rule{0pt}{15pt}}"); +defineMacro("\u22ee", "\\vdots"); ////////////////////////////////////////////////////////////////////// +// amsmath.sty +// http://mirrors.concertpass.com/tex-archive/macros/latex/required/amsmath/amsmath.pdf +// Italic Greek capital letters. AMS defines these with \DeclareMathSymbol, +// but they are equivalent to \mathit{\Letter}. + +defineMacro("\\varGamma", "\\mathit{\\Gamma}"); +defineMacro("\\varDelta", "\\mathit{\\Delta}"); +defineMacro("\\varTheta", "\\mathit{\\Theta}"); +defineMacro("\\varLambda", "\\mathit{\\Lambda}"); +defineMacro("\\varXi", "\\mathit{\\Xi}"); +defineMacro("\\varPi", "\\mathit{\\Pi}"); +defineMacro("\\varSigma", "\\mathit{\\Sigma}"); +defineMacro("\\varUpsilon", "\\mathit{\\Upsilon}"); +defineMacro("\\varPhi", "\\mathit{\\Phi}"); +defineMacro("\\varPsi", "\\mathit{\\Psi}"); +defineMacro("\\varOmega", "\\mathit{\\Omega}"); //\newcommand{\substack}[1]{\subarray{c}#1\endsubarray} + +defineMacro("\\substack", "\\begin{subarray}{c}#1\\end{subarray}"); // \renewcommand{\colon}{\nobreak\mskip2mu\mathpunct{}\nonscript +// \mkern-\thinmuskip{:}\mskip6muplus1mu\relax} + +defineMacro("\\colon", "\\nobreak\\mskip2mu\\mathpunct{}" + "\\mathchoice{\\mkern-3mu}{\\mkern-3mu}{}{}{:}\\mskip6mu\\relax"); // \newcommand{\boxed}[1]{\fbox{\m@th$\displaystyle#1$}} + +defineMacro("\\boxed", "\\fbox{$\\displaystyle{#1}$}"); // \def\iff{\DOTSB\;\Longleftrightarrow\;} +// \def\implies{\DOTSB\;\Longrightarrow\;} +// \def\impliedby{\DOTSB\;\Longleftarrow\;} + +defineMacro("\\iff", "\\DOTSB\\;\\Longleftrightarrow\\;"); +defineMacro("\\implies", "\\DOTSB\\;\\Longrightarrow\\;"); +defineMacro("\\impliedby", "\\DOTSB\\;\\Longleftarrow\\;"); // AMSMath's automatic \dots, based on \mdots@@ macro. + +var dotsByToken = { + ',': '\\dotsc', + '\\not': '\\dotsb', + // \keybin@ checks for the following: + '+': '\\dotsb', + '=': '\\dotsb', + '<': '\\dotsb', + '>': '\\dotsb', + '-': '\\dotsb', + '*': '\\dotsb', + ':': '\\dotsb', + // Symbols whose definition starts with \DOTSB: + '\\DOTSB': '\\dotsb', + '\\coprod': '\\dotsb', + '\\bigvee': '\\dotsb', + '\\bigwedge': '\\dotsb', + '\\biguplus': '\\dotsb', + '\\bigcap': '\\dotsb', + '\\bigcup': '\\dotsb', + '\\prod': '\\dotsb', + '\\sum': '\\dotsb', + '\\bigotimes': '\\dotsb', + '\\bigoplus': '\\dotsb', + '\\bigodot': '\\dotsb', + '\\bigsqcup': '\\dotsb', + '\\And': '\\dotsb', + '\\longrightarrow': '\\dotsb', + '\\Longrightarrow': '\\dotsb', + '\\longleftarrow': '\\dotsb', + '\\Longleftarrow': '\\dotsb', + '\\longleftrightarrow': '\\dotsb', + '\\Longleftrightarrow': '\\dotsb', + '\\mapsto': '\\dotsb', + '\\longmapsto': '\\dotsb', + '\\hookrightarrow': '\\dotsb', + '\\doteq': '\\dotsb', + // Symbols whose definition starts with \mathbin: + '\\mathbin': '\\dotsb', + // Symbols whose definition starts with \mathrel: + '\\mathrel': '\\dotsb', + '\\relbar': '\\dotsb', + '\\Relbar': '\\dotsb', + '\\xrightarrow': '\\dotsb', + '\\xleftarrow': '\\dotsb', + // Symbols whose definition starts with \DOTSI: + '\\DOTSI': '\\dotsi', + '\\int': '\\dotsi', + '\\oint': '\\dotsi', + '\\iint': '\\dotsi', + '\\iiint': '\\dotsi', + '\\iiiint': '\\dotsi', + '\\idotsint': '\\dotsi', + // Symbols whose definition starts with \DOTSX: + '\\DOTSX': '\\dotsx' +}; +defineMacro("\\dots", function (context) { + // TODO: If used in text mode, should expand to \textellipsis. + // However, in KaTeX, \textellipsis and \ldots behave the same + // (in text mode), and it's unlikely we'd see any of the math commands + // that affect the behavior of \dots when in text mode. So fine for now + // (until we support \ifmmode ... \else ... \fi). + var thedots = '\\dotso'; + var next = context.expandAfterFuture().text; + + if (next in dotsByToken) { + thedots = dotsByToken[next]; + } else if (next.slice(0, 4) === '\\not') { + thedots = '\\dotsb'; + } else if (next in symbols.math) { + if (utils.contains(['bin', 'rel'], symbols.math[next].group)) { + thedots = '\\dotsb'; + } + } + + return thedots; +}); +var spaceAfterDots = { + // \rightdelim@ checks for the following: + ')': true, + ']': true, + '\\rbrack': true, + '\\}': true, + '\\rbrace': true, + '\\rangle': true, + '\\rceil': true, + '\\rfloor': true, + '\\rgroup': true, + '\\rmoustache': true, + '\\right': true, + '\\bigr': true, + '\\biggr': true, + '\\Bigr': true, + '\\Biggr': true, + // \extra@ also tests for the following: + '$': true, + // \extrap@ checks for the following: + ';': true, + '.': true, + ',': true +}; +defineMacro("\\dotso", function (context) { + var next = context.future().text; + + if (next in spaceAfterDots) { + return "\\ldots\\,"; + } else { + return "\\ldots"; + } +}); +defineMacro("\\dotsc", function (context) { + var next = context.future().text; // \dotsc uses \extra@ but not \extrap@, instead specially checking for + // ';' and '.', but doesn't check for ','. + + if (next in spaceAfterDots && next !== ',') { + return "\\ldots\\,"; + } else { + return "\\ldots"; + } +}); +defineMacro("\\cdots", function (context) { + var next = context.future().text; + + if (next in spaceAfterDots) { + return "\\@cdots\\,"; + } else { + return "\\@cdots"; + } +}); +defineMacro("\\dotsb", "\\cdots"); +defineMacro("\\dotsm", "\\cdots"); +defineMacro("\\dotsi", "\\!\\cdots"); // amsmath doesn't actually define \dotsx, but \dots followed by a macro +// starting with \DOTSX implies \dotso, and then \extra@ detects this case +// and forces the added `\,`. + +defineMacro("\\dotsx", "\\ldots\\,"); // \let\DOTSI\relax +// \let\DOTSB\relax +// \let\DOTSX\relax + +defineMacro("\\DOTSI", "\\relax"); +defineMacro("\\DOTSB", "\\relax"); +defineMacro("\\DOTSX", "\\relax"); // Spacing, based on amsmath.sty's override of LaTeX defaults +// \DeclareRobustCommand{\tmspace}[3]{% +// \ifmmode\mskip#1#2\else\kern#1#3\fi\relax} + +defineMacro("\\tmspace", "\\TextOrMath{\\kern#1#3}{\\mskip#1#2}\\relax"); // \renewcommand{\,}{\tmspace+\thinmuskip{.1667em}} +// TODO: math mode should use \thinmuskip + +defineMacro("\\,", "\\tmspace+{3mu}{.1667em}"); // \let\thinspace\, + +defineMacro("\\thinspace", "\\,"); // \def\>{\mskip\medmuskip} +// \renewcommand{\:}{\tmspace+\medmuskip{.2222em}} +// TODO: \> and math mode of \: should use \medmuskip = 4mu plus 2mu minus 4mu + +defineMacro("\\>", "\\mskip{4mu}"); +defineMacro("\\:", "\\tmspace+{4mu}{.2222em}"); // \let\medspace\: + +defineMacro("\\medspace", "\\:"); // \renewcommand{\;}{\tmspace+\thickmuskip{.2777em}} +// TODO: math mode should use \thickmuskip = 5mu plus 5mu + +defineMacro("\\;", "\\tmspace+{5mu}{.2777em}"); // \let\thickspace\; + +defineMacro("\\thickspace", "\\;"); // \renewcommand{\!}{\tmspace-\thinmuskip{.1667em}} +// TODO: math mode should use \thinmuskip + +defineMacro("\\!", "\\tmspace-{3mu}{.1667em}"); // \let\negthinspace\! + +defineMacro("\\negthinspace", "\\!"); // \newcommand{\negmedspace}{\tmspace-\medmuskip{.2222em}} +// TODO: math mode should use \medmuskip + +defineMacro("\\negmedspace", "\\tmspace-{4mu}{.2222em}"); // \newcommand{\negthickspace}{\tmspace-\thickmuskip{.2777em}} +// TODO: math mode should use \thickmuskip + +defineMacro("\\negthickspace", "\\tmspace-{5mu}{.277em}"); // \def\enspace{\kern.5em } + +defineMacro("\\enspace", "\\kern.5em "); // \def\enskip{\hskip.5em\relax} + +defineMacro("\\enskip", "\\hskip.5em\\relax"); // \def\quad{\hskip1em\relax} + +defineMacro("\\quad", "\\hskip1em\\relax"); // \def\qquad{\hskip2em\relax} + +defineMacro("\\qquad", "\\hskip2em\\relax"); // \tag@in@display form of \tag + +defineMacro("\\tag", "\\@ifstar\\tag@literal\\tag@paren"); +defineMacro("\\tag@paren", "\\tag@literal{({#1})}"); +defineMacro("\\tag@literal", context => { + if (context.macros.get("\\df@tag")) { + throw new ParseError("Multiple \\tag"); + } + + return "\\gdef\\df@tag{\\text{#1}}"; +}); // \renewcommand{\bmod}{\nonscript\mskip-\medmuskip\mkern5mu\mathbin +// {\operator@font mod}\penalty900 +// \mkern5mu\nonscript\mskip-\medmuskip} +// \newcommand{\pod}[1]{\allowbreak +// \if@display\mkern18mu\else\mkern8mu\fi(#1)} +// \renewcommand{\pmod}[1]{\pod{{\operator@font mod}\mkern6mu#1}} +// \newcommand{\mod}[1]{\allowbreak\if@display\mkern18mu +// \else\mkern12mu\fi{\operator@font mod}\,\,#1} +// TODO: math mode should use \medmuskip = 4mu plus 2mu minus 4mu + +defineMacro("\\bmod", "\\mathchoice{\\mskip1mu}{\\mskip1mu}{\\mskip5mu}{\\mskip5mu}" + "\\mathbin{\\rm mod}" + "\\mathchoice{\\mskip1mu}{\\mskip1mu}{\\mskip5mu}{\\mskip5mu}"); +defineMacro("\\pod", "\\allowbreak" + "\\mathchoice{\\mkern18mu}{\\mkern8mu}{\\mkern8mu}{\\mkern8mu}(#1)"); +defineMacro("\\pmod", "\\pod{{\\rm mod}\\mkern6mu#1}"); +defineMacro("\\mod", "\\allowbreak" + "\\mathchoice{\\mkern18mu}{\\mkern12mu}{\\mkern12mu}{\\mkern12mu}" + "{\\rm mod}\\,\\,#1"); ////////////////////////////////////////////////////////////////////// +// LaTeX source2e +// \expandafter\let\expandafter\@normalcr +// \csname\expandafter\@gobble\string\\ \endcsname +// \DeclareRobustCommand\newline{\@normalcr\relax} + +defineMacro("\\newline", "\\\\\\relax"); // \def\TeX{T\kern-.1667em\lower.5ex\hbox{E}\kern-.125emX\@} +// TODO: Doesn't normally work in math mode because \@ fails. KaTeX doesn't +// support \@ yet, so that's omitted, and we add \text so that the result +// doesn't look funny in math mode. + +defineMacro("\\TeX", "\\textrm{\\html@mathml{" + "T\\kern-.1667em\\raisebox{-.5ex}{E}\\kern-.125emX" + "}{TeX}}"); // \DeclareRobustCommand{\LaTeX}{L\kern-.36em% +// {\sbox\z@ T% +// \vbox to\ht\z@{\hbox{\check@mathfonts +// \fontsize\sf@size\z@ +// \math@fontsfalse\selectfont +// A}% +// \vss}% +// }% +// \kern-.15em% +// \TeX} +// This code aligns the top of the A with the T (from the perspective of TeX's +// boxes, though visually the A appears to extend above slightly). +// We compute the corresponding \raisebox when A is rendered in \normalsize +// \scriptstyle, which has a scale factor of 0.7 (see Options.js). + +var latexRaiseA = makeEm(fontMetricsData['Main-Regular']["T".charCodeAt(0)][1] - 0.7 * fontMetricsData['Main-Regular']["A".charCodeAt(0)][1]); +defineMacro("\\LaTeX", "\\textrm{\\html@mathml{" + ("L\\kern-.36em\\raisebox{" + latexRaiseA + "}{\\scriptstyle A}") + "\\kern-.15em\\TeX}{LaTeX}}"); // New KaTeX logo based on tweaking LaTeX logo + +defineMacro("\\KaTeX", "\\textrm{\\html@mathml{" + ("K\\kern-.17em\\raisebox{" + latexRaiseA + "}{\\scriptstyle A}") + "\\kern-.15em\\TeX}{KaTeX}}"); // \DeclareRobustCommand\hspace{\@ifstar\@hspacer\@hspace} +// \def\@hspace#1{\hskip #1\relax} +// \def\@hspacer#1{\vrule \@width\z@\nobreak +// \hskip #1\hskip \z@skip} + +defineMacro("\\hspace", "\\@ifstar\\@hspacer\\@hspace"); +defineMacro("\\@hspace", "\\hskip #1\\relax"); +defineMacro("\\@hspacer", "\\rule{0pt}{0pt}\\hskip #1\\relax"); ////////////////////////////////////////////////////////////////////// +// mathtools.sty +//\providecommand\ordinarycolon{:} + +defineMacro("\\ordinarycolon", ":"); //\def\vcentcolon{\mathrel{\mathop\ordinarycolon}} +//TODO(edemaine): Not yet centered. Fix via \raisebox or #726 + +defineMacro("\\vcentcolon", "\\mathrel{\\mathop\\ordinarycolon}"); // \providecommand*\dblcolon{\vcentcolon\mathrel{\mkern-.9mu}\vcentcolon} + +defineMacro("\\dblcolon", "\\html@mathml{" + "\\mathrel{\\vcentcolon\\mathrel{\\mkern-.9mu}\\vcentcolon}}" + "{\\mathop{\\char\"2237}}"); // \providecommand*\coloneqq{\vcentcolon\mathrel{\mkern-1.2mu}=} + +defineMacro("\\coloneqq", "\\html@mathml{" + "\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}=}}" + "{\\mathop{\\char\"2254}}"); // ≔ +// \providecommand*\Coloneqq{\dblcolon\mathrel{\mkern-1.2mu}=} + +defineMacro("\\Coloneqq", "\\html@mathml{" + "\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}=}}" + "{\\mathop{\\char\"2237\\char\"3d}}"); // \providecommand*\coloneq{\vcentcolon\mathrel{\mkern-1.2mu}\mathrel{-}} + +defineMacro("\\coloneq", "\\html@mathml{" + "\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}\\mathrel{-}}}" + "{\\mathop{\\char\"3a\\char\"2212}}"); // \providecommand*\Coloneq{\dblcolon\mathrel{\mkern-1.2mu}\mathrel{-}} + +defineMacro("\\Coloneq", "\\html@mathml{" + "\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}\\mathrel{-}}}" + "{\\mathop{\\char\"2237\\char\"2212}}"); // \providecommand*\eqqcolon{=\mathrel{\mkern-1.2mu}\vcentcolon} + +defineMacro("\\eqqcolon", "\\html@mathml{" + "\\mathrel{=\\mathrel{\\mkern-1.2mu}\\vcentcolon}}" + "{\\mathop{\\char\"2255}}"); // ≕ +// \providecommand*\Eqqcolon{=\mathrel{\mkern-1.2mu}\dblcolon} + +defineMacro("\\Eqqcolon", "\\html@mathml{" + "\\mathrel{=\\mathrel{\\mkern-1.2mu}\\dblcolon}}" + "{\\mathop{\\char\"3d\\char\"2237}}"); // \providecommand*\eqcolon{\mathrel{-}\mathrel{\mkern-1.2mu}\vcentcolon} + +defineMacro("\\eqcolon", "\\html@mathml{" + "\\mathrel{\\mathrel{-}\\mathrel{\\mkern-1.2mu}\\vcentcolon}}" + "{\\mathop{\\char\"2239}}"); // \providecommand*\Eqcolon{\mathrel{-}\mathrel{\mkern-1.2mu}\dblcolon} + +defineMacro("\\Eqcolon", "\\html@mathml{" + "\\mathrel{\\mathrel{-}\\mathrel{\\mkern-1.2mu}\\dblcolon}}" + "{\\mathop{\\char\"2212\\char\"2237}}"); // \providecommand*\colonapprox{\vcentcolon\mathrel{\mkern-1.2mu}\approx} + +defineMacro("\\colonapprox", "\\html@mathml{" + "\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}\\approx}}" + "{\\mathop{\\char\"3a\\char\"2248}}"); // \providecommand*\Colonapprox{\dblcolon\mathrel{\mkern-1.2mu}\approx} + +defineMacro("\\Colonapprox", "\\html@mathml{" + "\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}\\approx}}" + "{\\mathop{\\char\"2237\\char\"2248}}"); // \providecommand*\colonsim{\vcentcolon\mathrel{\mkern-1.2mu}\sim} + +defineMacro("\\colonsim", "\\html@mathml{" + "\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}\\sim}}" + "{\\mathop{\\char\"3a\\char\"223c}}"); // \providecommand*\Colonsim{\dblcolon\mathrel{\mkern-1.2mu}\sim} + +defineMacro("\\Colonsim", "\\html@mathml{" + "\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}\\sim}}" + "{\\mathop{\\char\"2237\\char\"223c}}"); // Some Unicode characters are implemented with macros to mathtools functions. + +defineMacro("\u2237", "\\dblcolon"); // :: + +defineMacro("\u2239", "\\eqcolon"); // -: + +defineMacro("\u2254", "\\coloneqq"); // := + +defineMacro("\u2255", "\\eqqcolon"); // =: + +defineMacro("\u2A74", "\\Coloneqq"); // ::= +////////////////////////////////////////////////////////////////////// +// colonequals.sty +// Alternate names for mathtools's macros: + +defineMacro("\\ratio", "\\vcentcolon"); +defineMacro("\\coloncolon", "\\dblcolon"); +defineMacro("\\colonequals", "\\coloneqq"); +defineMacro("\\coloncolonequals", "\\Coloneqq"); +defineMacro("\\equalscolon", "\\eqqcolon"); +defineMacro("\\equalscoloncolon", "\\Eqqcolon"); +defineMacro("\\colonminus", "\\coloneq"); +defineMacro("\\coloncolonminus", "\\Coloneq"); +defineMacro("\\minuscolon", "\\eqcolon"); +defineMacro("\\minuscoloncolon", "\\Eqcolon"); // \colonapprox name is same in mathtools and colonequals. + +defineMacro("\\coloncolonapprox", "\\Colonapprox"); // \colonsim name is same in mathtools and colonequals. + +defineMacro("\\coloncolonsim", "\\Colonsim"); // Additional macros, implemented by analogy with mathtools definitions: + +defineMacro("\\simcolon", "\\mathrel{\\sim\\mathrel{\\mkern-1.2mu}\\vcentcolon}"); +defineMacro("\\simcoloncolon", "\\mathrel{\\sim\\mathrel{\\mkern-1.2mu}\\dblcolon}"); +defineMacro("\\approxcolon", "\\mathrel{\\approx\\mathrel{\\mkern-1.2mu}\\vcentcolon}"); +defineMacro("\\approxcoloncolon", "\\mathrel{\\approx\\mathrel{\\mkern-1.2mu}\\dblcolon}"); // Present in newtxmath, pxfonts and txfonts + +defineMacro("\\notni", "\\html@mathml{\\not\\ni}{\\mathrel{\\char`\u220C}}"); +defineMacro("\\limsup", "\\DOTSB\\operatorname*{lim\\,sup}"); +defineMacro("\\liminf", "\\DOTSB\\operatorname*{lim\\,inf}"); ////////////////////////////////////////////////////////////////////// +// From amsopn.sty + +defineMacro("\\injlim", "\\DOTSB\\operatorname*{inj\\,lim}"); +defineMacro("\\projlim", "\\DOTSB\\operatorname*{proj\\,lim}"); +defineMacro("\\varlimsup", "\\DOTSB\\operatorname*{\\overline{lim}}"); +defineMacro("\\varliminf", "\\DOTSB\\operatorname*{\\underline{lim}}"); +defineMacro("\\varinjlim", "\\DOTSB\\operatorname*{\\underrightarrow{lim}}"); +defineMacro("\\varprojlim", "\\DOTSB\\operatorname*{\\underleftarrow{lim}}"); ////////////////////////////////////////////////////////////////////// +// MathML alternates for KaTeX glyphs in the Unicode private area + +defineMacro("\\gvertneqq", "\\html@mathml{\\@gvertneqq}{\u2269}"); +defineMacro("\\lvertneqq", "\\html@mathml{\\@lvertneqq}{\u2268}"); +defineMacro("\\ngeqq", "\\html@mathml{\\@ngeqq}{\u2271}"); +defineMacro("\\ngeqslant", "\\html@mathml{\\@ngeqslant}{\u2271}"); +defineMacro("\\nleqq", "\\html@mathml{\\@nleqq}{\u2270}"); +defineMacro("\\nleqslant", "\\html@mathml{\\@nleqslant}{\u2270}"); +defineMacro("\\nshortmid", "\\html@mathml{\\@nshortmid}{∤}"); +defineMacro("\\nshortparallel", "\\html@mathml{\\@nshortparallel}{∦}"); +defineMacro("\\nsubseteqq", "\\html@mathml{\\@nsubseteqq}{\u2288}"); +defineMacro("\\nsupseteqq", "\\html@mathml{\\@nsupseteqq}{\u2289}"); +defineMacro("\\varsubsetneq", "\\html@mathml{\\@varsubsetneq}{⊊}"); +defineMacro("\\varsubsetneqq", "\\html@mathml{\\@varsubsetneqq}{⫋}"); +defineMacro("\\varsupsetneq", "\\html@mathml{\\@varsupsetneq}{⊋}"); +defineMacro("\\varsupsetneqq", "\\html@mathml{\\@varsupsetneqq}{⫌}"); +defineMacro("\\imath", "\\html@mathml{\\@imath}{\u0131}"); +defineMacro("\\jmath", "\\html@mathml{\\@jmath}{\u0237}"); ////////////////////////////////////////////////////////////////////// +// stmaryrd and semantic +// The stmaryrd and semantic packages render the next four items by calling a +// glyph. Those glyphs do not exist in the KaTeX fonts. Hence the macros. + +defineMacro("\\llbracket", "\\html@mathml{" + "\\mathopen{[\\mkern-3.2mu[}}" + "{\\mathopen{\\char`\u27e6}}"); +defineMacro("\\rrbracket", "\\html@mathml{" + "\\mathclose{]\\mkern-3.2mu]}}" + "{\\mathclose{\\char`\u27e7}}"); +defineMacro("\u27e6", "\\llbracket"); // blackboard bold [ + +defineMacro("\u27e7", "\\rrbracket"); // blackboard bold ] + +defineMacro("\\lBrace", "\\html@mathml{" + "\\mathopen{\\{\\mkern-3.2mu[}}" + "{\\mathopen{\\char`\u2983}}"); +defineMacro("\\rBrace", "\\html@mathml{" + "\\mathclose{]\\mkern-3.2mu\\}}}" + "{\\mathclose{\\char`\u2984}}"); +defineMacro("\u2983", "\\lBrace"); // blackboard bold { + +defineMacro("\u2984", "\\rBrace"); // blackboard bold } +// TODO: Create variable sized versions of the last two items. I believe that +// will require new font glyphs. +// The stmaryrd function `\minuso` provides a "Plimsoll" symbol that +// superimposes the characters \circ and \mathminus. Used in chemistry. + +defineMacro("\\minuso", "\\mathbin{\\html@mathml{" + "{\\mathrlap{\\mathchoice{\\kern{0.145em}}{\\kern{0.145em}}" + "{\\kern{0.1015em}}{\\kern{0.0725em}}\\circ}{-}}}" + "{\\char`⦵}}"); +defineMacro("⦵", "\\minuso"); ////////////////////////////////////////////////////////////////////// +// texvc.sty +// The texvc package contains macros available in mediawiki pages. +// We omit the functions deprecated at +// https://en.wikipedia.org/wiki/Help:Displaying_a_formula#Deprecated_syntax +// We also omit texvc's \O, which conflicts with \text{\O} + +defineMacro("\\darr", "\\downarrow"); +defineMacro("\\dArr", "\\Downarrow"); +defineMacro("\\Darr", "\\Downarrow"); +defineMacro("\\lang", "\\langle"); +defineMacro("\\rang", "\\rangle"); +defineMacro("\\uarr", "\\uparrow"); +defineMacro("\\uArr", "\\Uparrow"); +defineMacro("\\Uarr", "\\Uparrow"); +defineMacro("\\N", "\\mathbb{N}"); +defineMacro("\\R", "\\mathbb{R}"); +defineMacro("\\Z", "\\mathbb{Z}"); +defineMacro("\\alef", "\\aleph"); +defineMacro("\\alefsym", "\\aleph"); +defineMacro("\\Alpha", "\\mathrm{A}"); +defineMacro("\\Beta", "\\mathrm{B}"); +defineMacro("\\bull", "\\bullet"); +defineMacro("\\Chi", "\\mathrm{X}"); +defineMacro("\\clubs", "\\clubsuit"); +defineMacro("\\cnums", "\\mathbb{C}"); +defineMacro("\\Complex", "\\mathbb{C}"); +defineMacro("\\Dagger", "\\ddagger"); +defineMacro("\\diamonds", "\\diamondsuit"); +defineMacro("\\empty", "\\emptyset"); +defineMacro("\\Epsilon", "\\mathrm{E}"); +defineMacro("\\Eta", "\\mathrm{H}"); +defineMacro("\\exist", "\\exists"); +defineMacro("\\harr", "\\leftrightarrow"); +defineMacro("\\hArr", "\\Leftrightarrow"); +defineMacro("\\Harr", "\\Leftrightarrow"); +defineMacro("\\hearts", "\\heartsuit"); +defineMacro("\\image", "\\Im"); +defineMacro("\\infin", "\\infty"); +defineMacro("\\Iota", "\\mathrm{I}"); +defineMacro("\\isin", "\\in"); +defineMacro("\\Kappa", "\\mathrm{K}"); +defineMacro("\\larr", "\\leftarrow"); +defineMacro("\\lArr", "\\Leftarrow"); +defineMacro("\\Larr", "\\Leftarrow"); +defineMacro("\\lrarr", "\\leftrightarrow"); +defineMacro("\\lrArr", "\\Leftrightarrow"); +defineMacro("\\Lrarr", "\\Leftrightarrow"); +defineMacro("\\Mu", "\\mathrm{M}"); +defineMacro("\\natnums", "\\mathbb{N}"); +defineMacro("\\Nu", "\\mathrm{N}"); +defineMacro("\\Omicron", "\\mathrm{O}"); +defineMacro("\\plusmn", "\\pm"); +defineMacro("\\rarr", "\\rightarrow"); +defineMacro("\\rArr", "\\Rightarrow"); +defineMacro("\\Rarr", "\\Rightarrow"); +defineMacro("\\real", "\\Re"); +defineMacro("\\reals", "\\mathbb{R}"); +defineMacro("\\Reals", "\\mathbb{R}"); +defineMacro("\\Rho", "\\mathrm{P}"); +defineMacro("\\sdot", "\\cdot"); +defineMacro("\\sect", "\\S"); +defineMacro("\\spades", "\\spadesuit"); +defineMacro("\\sub", "\\subset"); +defineMacro("\\sube", "\\subseteq"); +defineMacro("\\supe", "\\supseteq"); +defineMacro("\\Tau", "\\mathrm{T}"); +defineMacro("\\thetasym", "\\vartheta"); // TODO: defineMacro("\\varcoppa", "\\\mbox{\\coppa}"); + +defineMacro("\\weierp", "\\wp"); +defineMacro("\\Zeta", "\\mathrm{Z}"); ////////////////////////////////////////////////////////////////////// +// statmath.sty +// https://ctan.math.illinois.edu/macros/latex/contrib/statmath/statmath.pdf + +defineMacro("\\argmin", "\\DOTSB\\operatorname*{arg\\,min}"); +defineMacro("\\argmax", "\\DOTSB\\operatorname*{arg\\,max}"); +defineMacro("\\plim", "\\DOTSB\\mathop{\\operatorname{plim}}\\limits"); ////////////////////////////////////////////////////////////////////// +// braket.sty +// http://ctan.math.washington.edu/tex-archive/macros/latex/contrib/braket/braket.pdf + +defineMacro("\\bra", "\\mathinner{\\langle{#1}|}"); +defineMacro("\\ket", "\\mathinner{|{#1}\\rangle}"); +defineMacro("\\braket", "\\mathinner{\\langle{#1}\\rangle}"); +defineMacro("\\Bra", "\\left\\langle#1\\right|"); +defineMacro("\\Ket", "\\left|#1\\right\\rangle"); + +var braketHelper = one => context => { + var left = context.consumeArg().tokens; + var middle = context.consumeArg().tokens; + var middleDouble = context.consumeArg().tokens; + var right = context.consumeArg().tokens; + var oldMiddle = context.macros.get("|"); + var oldMiddleDouble = context.macros.get("\\|"); + context.macros.beginGroup(); + + var midMacro = double => context => { + if (one) { + // Only modify the first instance of | or \| + context.macros.set("|", oldMiddle); + + if (middleDouble.length) { + context.macros.set("\\|", oldMiddleDouble); + } + } + + var doubled = double; + + if (!double && middleDouble.length) { + // Mimic \@ifnextchar + var nextToken = context.future(); + + if (nextToken.text === "|") { + context.popToken(); + doubled = true; + } + } + + return { + tokens: doubled ? middleDouble : middle, + numArgs: 0 + }; + }; + + context.macros.set("|", midMacro(false)); + + if (middleDouble.length) { + context.macros.set("\\|", midMacro(true)); + } + + var arg = context.consumeArg().tokens; + var expanded = context.expandTokens([...right, ...arg, ...left // reversed + ]); + context.macros.endGroup(); + return { + tokens: expanded.reverse(), + numArgs: 0 + }; +}; + +defineMacro("\\bra@ket", braketHelper(false)); +defineMacro("\\bra@set", braketHelper(true)); +defineMacro("\\Braket", "\\bra@ket{\\left\\langle}" + "{\\,\\middle\\vert\\,}{\\,\\middle\\vert\\,}{\\right\\rangle}"); +defineMacro("\\Set", "\\bra@set{\\left\\{\\:}" + "{\\;\\middle\\vert\\;}{\\;\\middle\\Vert\\;}{\\:\\right\\}}"); +defineMacro("\\set", "\\bra@set{\\{\\,}{\\mid}{}{\\,\\}}"); // has no support for special || or \| +////////////////////////////////////////////////////////////////////// +// actuarialangle.dtx + +defineMacro("\\angln", "{\\angl n}"); // Custom Khan Academy colors, should be moved to an optional package + +defineMacro("\\blue", "\\textcolor{##6495ed}{#1}"); +defineMacro("\\orange", "\\textcolor{##ffa500}{#1}"); +defineMacro("\\pink", "\\textcolor{##ff00af}{#1}"); +defineMacro("\\red", "\\textcolor{##df0030}{#1}"); +defineMacro("\\green", "\\textcolor{##28ae7b}{#1}"); +defineMacro("\\gray", "\\textcolor{gray}{#1}"); +defineMacro("\\purple", "\\textcolor{##9d38bd}{#1}"); +defineMacro("\\blueA", "\\textcolor{##ccfaff}{#1}"); +defineMacro("\\blueB", "\\textcolor{##80f6ff}{#1}"); +defineMacro("\\blueC", "\\textcolor{##63d9ea}{#1}"); +defineMacro("\\blueD", "\\textcolor{##11accd}{#1}"); +defineMacro("\\blueE", "\\textcolor{##0c7f99}{#1}"); +defineMacro("\\tealA", "\\textcolor{##94fff5}{#1}"); +defineMacro("\\tealB", "\\textcolor{##26edd5}{#1}"); +defineMacro("\\tealC", "\\textcolor{##01d1c1}{#1}"); +defineMacro("\\tealD", "\\textcolor{##01a995}{#1}"); +defineMacro("\\tealE", "\\textcolor{##208170}{#1}"); +defineMacro("\\greenA", "\\textcolor{##b6ffb0}{#1}"); +defineMacro("\\greenB", "\\textcolor{##8af281}{#1}"); +defineMacro("\\greenC", "\\textcolor{##74cf70}{#1}"); +defineMacro("\\greenD", "\\textcolor{##1fab54}{#1}"); +defineMacro("\\greenE", "\\textcolor{##0d923f}{#1}"); +defineMacro("\\goldA", "\\textcolor{##ffd0a9}{#1}"); +defineMacro("\\goldB", "\\textcolor{##ffbb71}{#1}"); +defineMacro("\\goldC", "\\textcolor{##ff9c39}{#1}"); +defineMacro("\\goldD", "\\textcolor{##e07d10}{#1}"); +defineMacro("\\goldE", "\\textcolor{##a75a05}{#1}"); +defineMacro("\\redA", "\\textcolor{##fca9a9}{#1}"); +defineMacro("\\redB", "\\textcolor{##ff8482}{#1}"); +defineMacro("\\redC", "\\textcolor{##f9685d}{#1}"); +defineMacro("\\redD", "\\textcolor{##e84d39}{#1}"); +defineMacro("\\redE", "\\textcolor{##bc2612}{#1}"); +defineMacro("\\maroonA", "\\textcolor{##ffbde0}{#1}"); +defineMacro("\\maroonB", "\\textcolor{##ff92c6}{#1}"); +defineMacro("\\maroonC", "\\textcolor{##ed5fa6}{#1}"); +defineMacro("\\maroonD", "\\textcolor{##ca337c}{#1}"); +defineMacro("\\maroonE", "\\textcolor{##9e034e}{#1}"); +defineMacro("\\purpleA", "\\textcolor{##ddd7ff}{#1}"); +defineMacro("\\purpleB", "\\textcolor{##c6b9fc}{#1}"); +defineMacro("\\purpleC", "\\textcolor{##aa87ff}{#1}"); +defineMacro("\\purpleD", "\\textcolor{##7854ab}{#1}"); +defineMacro("\\purpleE", "\\textcolor{##543b78}{#1}"); +defineMacro("\\mintA", "\\textcolor{##f5f9e8}{#1}"); +defineMacro("\\mintB", "\\textcolor{##edf2df}{#1}"); +defineMacro("\\mintC", "\\textcolor{##e0e5cc}{#1}"); +defineMacro("\\grayA", "\\textcolor{##f6f7f7}{#1}"); +defineMacro("\\grayB", "\\textcolor{##f0f1f2}{#1}"); +defineMacro("\\grayC", "\\textcolor{##e3e5e6}{#1}"); +defineMacro("\\grayD", "\\textcolor{##d6d8da}{#1}"); +defineMacro("\\grayE", "\\textcolor{##babec2}{#1}"); +defineMacro("\\grayF", "\\textcolor{##888d93}{#1}"); +defineMacro("\\grayG", "\\textcolor{##626569}{#1}"); +defineMacro("\\grayH", "\\textcolor{##3b3e40}{#1}"); +defineMacro("\\grayI", "\\textcolor{##21242c}{#1}"); +defineMacro("\\kaBlue", "\\textcolor{##314453}{#1}"); +defineMacro("\\kaGreen", "\\textcolor{##71B307}{#1}"); + +/** + * This file contains the “gullet” where macros are expanded + * until only non-macro tokens remain. + */ +// List of commands that act like macros but aren't defined as a macro, +// function, or symbol. Used in `isDefined`. +var implicitCommands = { + "^": true, + // Parser.js + "_": true, + // Parser.js + "\\limits": true, + // Parser.js + "\\nolimits": true // Parser.js + +}; +class MacroExpander { + constructor(input, settings, mode) { + this.settings = void 0; + this.expansionCount = void 0; + this.lexer = void 0; + this.macros = void 0; + this.stack = void 0; + this.mode = void 0; + this.settings = settings; + this.expansionCount = 0; + this.feed(input); // Make new global namespace + + this.macros = new Namespace(macros, settings.macros); + this.mode = mode; + this.stack = []; // contains tokens in REVERSE order + } + /** + * Feed a new input string to the same MacroExpander + * (with existing macros etc.). + */ + + + feed(input) { + this.lexer = new Lexer(input, this.settings); + } + /** + * Switches between "text" and "math" modes. + */ + + + switchMode(newMode) { + this.mode = newMode; + } + /** + * Start a new group nesting within all namespaces. + */ + + + beginGroup() { + this.macros.beginGroup(); + } + /** + * End current group nesting within all namespaces. + */ + + + endGroup() { + this.macros.endGroup(); + } + /** + * Ends all currently nested groups (if any), restoring values before the + * groups began. Useful in case of an error in the middle of parsing. + */ + + + endGroups() { + this.macros.endGroups(); + } + /** + * Returns the topmost token on the stack, without expanding it. + * Similar in behavior to TeX's `\futurelet`. + */ + + + future() { + if (this.stack.length === 0) { + this.pushToken(this.lexer.lex()); + } + + return this.stack[this.stack.length - 1]; + } + /** + * Remove and return the next unexpanded token. + */ + + + popToken() { + this.future(); // ensure non-empty stack + + return this.stack.pop(); + } + /** + * Add a given token to the token stack. In particular, this get be used + * to put back a token returned from one of the other methods. + */ + + + pushToken(token) { + this.stack.push(token); + } + /** + * Append an array of tokens to the token stack. + */ + + + pushTokens(tokens) { + this.stack.push(...tokens); + } + /** + * Find an macro argument without expanding tokens and append the array of + * tokens to the token stack. Uses Token as a container for the result. + */ + + + scanArgument(isOptional) { + var start; + var end; + var tokens; + + if (isOptional) { + this.consumeSpaces(); // \@ifnextchar gobbles any space following it + + if (this.future().text !== "[") { + return null; + } + + start = this.popToken(); // don't include [ in tokens + + ({ + tokens, + end + } = this.consumeArg(["]"])); + } else { + ({ + tokens, + start, + end + } = this.consumeArg()); + } // indicate the end of an argument + + + this.pushToken(new Token("EOF", end.loc)); + this.pushTokens(tokens); + return start.range(end, ""); + } + /** + * Consume all following space tokens, without expansion. + */ + + + consumeSpaces() { + for (;;) { + var token = this.future(); + + if (token.text === " ") { + this.stack.pop(); + } else { + break; + } + } + } + /** + * Consume an argument from the token stream, and return the resulting array + * of tokens and start/end token. + */ + + + consumeArg(delims) { + // The argument for a delimited parameter is the shortest (possibly + // empty) sequence of tokens with properly nested {...} groups that is + // followed ... by this particular list of non-parameter tokens. + // The argument for an undelimited parameter is the next nonblank + // token, unless that token is ‘{’, when the argument will be the + // entire {...} group that follows. + var tokens = []; + var isDelimited = delims && delims.length > 0; + + if (!isDelimited) { + // Ignore spaces between arguments. As the TeXbook says: + // "After you have said ‘\def\row#1#2{...}’, you are allowed to + // put spaces between the arguments (e.g., ‘\row x n’), because + // TeX doesn’t use single spaces as undelimited arguments." + this.consumeSpaces(); + } + + var start = this.future(); + var tok; + var depth = 0; + var match = 0; + + do { + tok = this.popToken(); + tokens.push(tok); + + if (tok.text === "{") { + ++depth; + } else if (tok.text === "}") { + --depth; + + if (depth === -1) { + throw new ParseError("Extra }", tok); + } + } else if (tok.text === "EOF") { + throw new ParseError("Unexpected end of input in a macro argument" + ", expected '" + (delims && isDelimited ? delims[match] : "}") + "'", tok); + } + + if (delims && isDelimited) { + if ((depth === 0 || depth === 1 && delims[match] === "{") && tok.text === delims[match]) { + ++match; + + if (match === delims.length) { + // don't include delims in tokens + tokens.splice(-match, match); + break; + } + } else { + match = 0; + } + } + } while (depth !== 0 || isDelimited); // If the argument found ... has the form ‘{}’, + // ... the outermost braces enclosing the argument are removed + + + if (start.text === "{" && tokens[tokens.length - 1].text === "}") { + tokens.pop(); + tokens.shift(); + } + + tokens.reverse(); // to fit in with stack order + + return { + tokens, + start, + end: tok + }; + } + /** + * Consume the specified number of (delimited) arguments from the token + * stream and return the resulting array of arguments. + */ + + + consumeArgs(numArgs, delimiters) { + if (delimiters) { + if (delimiters.length !== numArgs + 1) { + throw new ParseError("The length of delimiters doesn't match the number of args!"); + } + + var delims = delimiters[0]; + + for (var i = 0; i < delims.length; i++) { + var tok = this.popToken(); + + if (delims[i] !== tok.text) { + throw new ParseError("Use of the macro doesn't match its definition", tok); + } + } + } + + var args = []; + + for (var _i = 0; _i < numArgs; _i++) { + args.push(this.consumeArg(delimiters && delimiters[_i + 1]).tokens); + } + + return args; + } + /** + * Expand the next token only once if possible. + * + * If the token is expanded, the resulting tokens will be pushed onto + * the stack in reverse order and will be returned as an array, + * also in reverse order. + * + * If not, the next token will be returned without removing it + * from the stack. This case can be detected by a `Token` return value + * instead of an `Array` return value. + * + * In either case, the next token will be on the top of the stack, + * or the stack will be empty. + * + * Used to implement `expandAfterFuture` and `expandNextToken`. + * + * If expandableOnly, only expandable tokens are expanded and + * an undefined control sequence results in an error. + */ + + + expandOnce(expandableOnly) { + var topToken = this.popToken(); + var name = topToken.text; + var expansion = !topToken.noexpand ? this._getExpansion(name) : null; + + if (expansion == null || expandableOnly && expansion.unexpandable) { + if (expandableOnly && expansion == null && name[0] === "\\" && !this.isDefined(name)) { + throw new ParseError("Undefined control sequence: " + name); + } + + this.pushToken(topToken); + return topToken; + } + + this.expansionCount++; + + if (this.expansionCount > this.settings.maxExpand) { + throw new ParseError("Too many expansions: infinite loop or " + "need to increase maxExpand setting"); + } + + var tokens = expansion.tokens; + var args = this.consumeArgs(expansion.numArgs, expansion.delimiters); + + if (expansion.numArgs) { + // paste arguments in place of the placeholders + tokens = tokens.slice(); // make a shallow copy + + for (var i = tokens.length - 1; i >= 0; --i) { + var tok = tokens[i]; + + if (tok.text === "#") { + if (i === 0) { + throw new ParseError("Incomplete placeholder at end of macro body", tok); + } + + tok = tokens[--i]; // next token on stack + + if (tok.text === "#") { + // ## → # + tokens.splice(i + 1, 1); // drop first # + } else if (/^[1-9]$/.test(tok.text)) { + // replace the placeholder with the indicated argument + tokens.splice(i, 2, ...args[+tok.text - 1]); + } else { + throw new ParseError("Not a valid argument number", tok); + } + } + } + } // Concatenate expansion onto top of stack. + + + this.pushTokens(tokens); + return tokens; + } + /** + * Expand the next token only once (if possible), and return the resulting + * top token on the stack (without removing anything from the stack). + * Similar in behavior to TeX's `\expandafter\futurelet`. + * Equivalent to expandOnce() followed by future(). + */ + + + expandAfterFuture() { + this.expandOnce(); + return this.future(); + } + /** + * Recursively expand first token, then return first non-expandable token. + */ + + + expandNextToken() { + for (;;) { + var expanded = this.expandOnce(); // expandOnce returns Token if and only if it's fully expanded. + + if (expanded instanceof Token) { + // the token after \noexpand is interpreted as if its meaning + // were ‘\relax’ + if (expanded.treatAsRelax) { + expanded.text = "\\relax"; + } + + return this.stack.pop(); // === expanded + } + } // Flow unable to figure out that this pathway is impossible. + // https://github.com/facebook/flow/issues/4808 + + + throw new Error(); // eslint-disable-line no-unreachable + } + /** + * Fully expand the given macro name and return the resulting list of + * tokens, or return `undefined` if no such macro is defined. + */ + + + expandMacro(name) { + return this.macros.has(name) ? this.expandTokens([new Token(name)]) : undefined; + } + /** + * Fully expand the given token stream and return the resulting list of + * tokens. Note that the input tokens are in reverse order, but the + * output tokens are in forward order. + */ + + + expandTokens(tokens) { + var output = []; + var oldStackLength = this.stack.length; + this.pushTokens(tokens); + + while (this.stack.length > oldStackLength) { + var expanded = this.expandOnce(true); // expand only expandable tokens + // expandOnce returns Token if and only if it's fully expanded. + + if (expanded instanceof Token) { + if (expanded.treatAsRelax) { + // the expansion of \noexpand is the token itself + expanded.noexpand = false; + expanded.treatAsRelax = false; + } + + output.push(this.stack.pop()); + } + } + + return output; + } + /** + * Fully expand the given macro name and return the result as a string, + * or return `undefined` if no such macro is defined. + */ + + + expandMacroAsText(name) { + var tokens = this.expandMacro(name); + + if (tokens) { + return tokens.map(token => token.text).join(""); + } else { + return tokens; + } + } + /** + * Returns the expanded macro as a reversed array of tokens and a macro + * argument count. Or returns `null` if no such macro. + */ + + + _getExpansion(name) { + var definition = this.macros.get(name); + + if (definition == null) { + // mainly checking for undefined here + return definition; + } // If a single character has an associated catcode other than 13 + // (active character), then don't expand it. + + + if (name.length === 1) { + var catcode = this.lexer.catcodes[name]; + + if (catcode != null && catcode !== 13) { + return; + } + } + + var expansion = typeof definition === "function" ? definition(this) : definition; + + if (typeof expansion === "string") { + var numArgs = 0; + + if (expansion.indexOf("#") !== -1) { + var stripped = expansion.replace(/##/g, ""); + + while (stripped.indexOf("#" + (numArgs + 1)) !== -1) { + ++numArgs; + } + } + + var bodyLexer = new Lexer(expansion, this.settings); + var tokens = []; + var tok = bodyLexer.lex(); + + while (tok.text !== "EOF") { + tokens.push(tok); + tok = bodyLexer.lex(); + } + + tokens.reverse(); // to fit in with stack using push and pop + + var expanded = { + tokens, + numArgs + }; + return expanded; + } + + return expansion; + } + /** + * Determine whether a command is currently "defined" (has some + * functionality), meaning that it's a macro (in the current group), + * a function, a symbol, or one of the special commands listed in + * `implicitCommands`. + */ + + + isDefined(name) { + return this.macros.has(name) || functions.hasOwnProperty(name) || symbols.math.hasOwnProperty(name) || symbols.text.hasOwnProperty(name) || implicitCommands.hasOwnProperty(name); + } + /** + * Determine whether a command is expandable. + */ + + + isExpandable(name) { + var macro = this.macros.get(name); + return macro != null ? typeof macro === "string" || typeof macro === "function" || !macro.unexpandable : functions.hasOwnProperty(name) && !functions[name].primitive; + } + +} + +// Helpers for Parser.js handling of Unicode (sub|super)script characters. +var unicodeSubRegEx = /^[₊₋₌₍₎₀₁₂₃₄₅₆₇₈₉ₐₑₕᵢⱼₖₗₘₙₒₚᵣₛₜᵤᵥₓᵦᵧᵨᵩᵪ]/; +var uSubsAndSups = Object.freeze({ + '₊': '+', + '₋': '-', + '₌': '=', + '₍': '(', + '₎': ')', + '₀': '0', + '₁': '1', + '₂': '2', + '₃': '3', + '₄': '4', + '₅': '5', + '₆': '6', + '₇': '7', + '₈': '8', + '₉': '9', + '\u2090': 'a', + '\u2091': 'e', + '\u2095': 'h', + '\u1D62': 'i', + '\u2C7C': 'j', + '\u2096': 'k', + '\u2097': 'l', + '\u2098': 'm', + '\u2099': 'n', + '\u2092': 'o', + '\u209A': 'p', + '\u1D63': 'r', + '\u209B': 's', + '\u209C': 't', + '\u1D64': 'u', + '\u1D65': 'v', + '\u2093': 'x', + '\u1D66': 'β', + '\u1D67': 'γ', + '\u1D68': 'ρ', + '\u1D69': '\u03d5', + '\u1D6A': 'χ', + '⁺': '+', + '⁻': '-', + '⁼': '=', + '⁽': '(', + '⁾': ')', + '⁰': '0', + '¹': '1', + '²': '2', + '³': '3', + '⁴': '4', + '⁵': '5', + '⁶': '6', + '⁷': '7', + '⁸': '8', + '⁹': '9', + '\u1D2C': 'A', + '\u1D2E': 'B', + '\u1D30': 'D', + '\u1D31': 'E', + '\u1D33': 'G', + '\u1D34': 'H', + '\u1D35': 'I', + '\u1D36': 'J', + '\u1D37': 'K', + '\u1D38': 'L', + '\u1D39': 'M', + '\u1D3A': 'N', + '\u1D3C': 'O', + '\u1D3E': 'P', + '\u1D3F': 'R', + '\u1D40': 'T', + '\u1D41': 'U', + '\u2C7D': 'V', + '\u1D42': 'W', + '\u1D43': 'a', + '\u1D47': 'b', + '\u1D9C': 'c', + '\u1D48': 'd', + '\u1D49': 'e', + '\u1DA0': 'f', + '\u1D4D': 'g', + '\u02B0': 'h', + '\u2071': 'i', + '\u02B2': 'j', + '\u1D4F': 'k', + '\u02E1': 'l', + '\u1D50': 'm', + '\u207F': 'n', + '\u1D52': 'o', + '\u1D56': 'p', + '\u02B3': 'r', + '\u02E2': 's', + '\u1D57': 't', + '\u1D58': 'u', + '\u1D5B': 'v', + '\u02B7': 'w', + '\u02E3': 'x', + '\u02B8': 'y', + '\u1DBB': 'z', + '\u1D5D': 'β', + '\u1D5E': 'γ', + '\u1D5F': 'δ', + '\u1D60': '\u03d5', + '\u1D61': 'χ', + '\u1DBF': 'θ' +}); + +/* eslint no-constant-condition:0 */ + +var unicodeAccents = { + "́": { + "text": "\\'", + "math": "\\acute" + }, + "̀": { + "text": "\\`", + "math": "\\grave" + }, + "̈": { + "text": "\\\"", + "math": "\\ddot" + }, + "̃": { + "text": "\\~", + "math": "\\tilde" + }, + "̄": { + "text": "\\=", + "math": "\\bar" + }, + "̆": { + "text": "\\u", + "math": "\\breve" + }, + "̌": { + "text": "\\v", + "math": "\\check" + }, + "̂": { + "text": "\\^", + "math": "\\hat" + }, + "̇": { + "text": "\\.", + "math": "\\dot" + }, + "̊": { + "text": "\\r", + "math": "\\mathring" + }, + "̋": { + "text": "\\H" + }, + "̧": { + "text": "\\c" + } +}; +var unicodeSymbols = { + "á": "á", + "à": "à", + "ä": "ä", + "ǟ": "ǟ", + "ã": "ã", + "ā": "ā", + "ă": "ă", + "ắ": "ắ", + "ằ": "ằ", + "ẵ": "ẵ", + "ǎ": "ǎ", + "â": "â", + "ấ": "ấ", + "ầ": "ầ", + "ẫ": "ẫ", + "ȧ": "ȧ", + "ǡ": "ǡ", + "å": "å", + "ǻ": "ǻ", + "ḃ": "ḃ", + "ć": "ć", + "ḉ": "ḉ", + "č": "č", + "ĉ": "ĉ", + "ċ": "ċ", + "ç": "ç", + "ď": "ď", + "ḋ": "ḋ", + "ḑ": "ḑ", + "é": "é", + "è": "è", + "ë": "ë", + "ẽ": "ẽ", + "ē": "ē", + "ḗ": "ḗ", + "ḕ": "ḕ", + "ĕ": "ĕ", + "ḝ": "ḝ", + "ě": "ě", + "ê": "ê", + "ế": "ế", + "ề": "ề", + "ễ": "ễ", + "ė": "ė", + "ȩ": "ȩ", + "ḟ": "ḟ", + "ǵ": "ǵ", + "ḡ": "ḡ", + "ğ": "ğ", + "ǧ": "ǧ", + "ĝ": "ĝ", + "ġ": "ġ", + "ģ": "ģ", + "ḧ": "ḧ", + "ȟ": "ȟ", + "ĥ": "ĥ", + "ḣ": "ḣ", + "ḩ": "ḩ", + "í": "í", + "ì": "ì", + "ï": "ï", + "ḯ": "ḯ", + "ĩ": "ĩ", + "ī": "ī", + "ĭ": "ĭ", + "ǐ": "ǐ", + "î": "î", + "ǰ": "ǰ", + "ĵ": "ĵ", + "ḱ": "ḱ", + "ǩ": "ǩ", + "ķ": "ķ", + "ĺ": "ĺ", + "ľ": "ľ", + "ļ": "ļ", + "ḿ": "ḿ", + "ṁ": "ṁ", + "ń": "ń", + "ǹ": "ǹ", + "ñ": "ñ", + "ň": "ň", + "ṅ": "ṅ", + "ņ": "ņ", + "ó": "ó", + "ò": "ò", + "ö": "ö", + "ȫ": "ȫ", + "õ": "õ", + "ṍ": "ṍ", + "ṏ": "ṏ", + "ȭ": "ȭ", + "ō": "ō", + "ṓ": "ṓ", + "ṑ": "ṑ", + "ŏ": "ŏ", + "ǒ": "ǒ", + "ô": "ô", + "ố": "ố", + "ồ": "ồ", + "ỗ": "ỗ", + "ȯ": "ȯ", + "ȱ": "ȱ", + "ő": "ő", + "ṕ": "ṕ", + "ṗ": "ṗ", + "ŕ": "ŕ", + "ř": "ř", + "ṙ": "ṙ", + "ŗ": "ŗ", + "ś": "ś", + "ṥ": "ṥ", + "š": "š", + "ṧ": "ṧ", + "ŝ": "ŝ", + "ṡ": "ṡ", + "ş": "ş", + "ẗ": "ẗ", + "ť": "ť", + "ṫ": "ṫ", + "ţ": "ţ", + "ú": "ú", + "ù": "ù", + "ü": "ü", + "ǘ": "ǘ", + "ǜ": "ǜ", + "ǖ": "ǖ", + "ǚ": "ǚ", + "ũ": "ũ", + "ṹ": "ṹ", + "ū": "ū", + "ṻ": "ṻ", + "ŭ": "ŭ", + "ǔ": "ǔ", + "û": "û", + "ů": "ů", + "ű": "ű", + "ṽ": "ṽ", + "ẃ": "ẃ", + "ẁ": "ẁ", + "ẅ": "ẅ", + "ŵ": "ŵ", + "ẇ": "ẇ", + "ẘ": "ẘ", + "ẍ": "ẍ", + "ẋ": "ẋ", + "ý": "ý", + "ỳ": "ỳ", + "ÿ": "ÿ", + "ỹ": "ỹ", + "ȳ": "ȳ", + "ŷ": "ŷ", + "ẏ": "ẏ", + "ẙ": "ẙ", + "ź": "ź", + "ž": "ž", + "ẑ": "ẑ", + "ż": "ż", + "Á": "Á", + "À": "À", + "Ä": "Ä", + "Ǟ": "Ǟ", + "Ã": "Ã", + "Ā": "Ā", + "Ă": "Ă", + "Ắ": "Ắ", + "Ằ": "Ằ", + "Ẵ": "Ẵ", + "Ǎ": "Ǎ", + "Â": "Â", + "Ấ": "Ấ", + "Ầ": "Ầ", + "Ẫ": "Ẫ", + "Ȧ": "Ȧ", + "Ǡ": "Ǡ", + "Å": "Å", + "Ǻ": "Ǻ", + "Ḃ": "Ḃ", + "Ć": "Ć", + "Ḉ": "Ḉ", + "Č": "Č", + "Ĉ": "Ĉ", + "Ċ": "Ċ", + "Ç": "Ç", + "Ď": "Ď", + "Ḋ": "Ḋ", + "Ḑ": "Ḑ", + "É": "É", + "È": "È", + "Ë": "Ë", + "Ẽ": "Ẽ", + "Ē": "Ē", + "Ḗ": "Ḗ", + "Ḕ": "Ḕ", + "Ĕ": "Ĕ", + "Ḝ": "Ḝ", + "Ě": "Ě", + "Ê": "Ê", + "Ế": "Ế", + "Ề": "Ề", + "Ễ": "Ễ", + "Ė": "Ė", + "Ȩ": "Ȩ", + "Ḟ": "Ḟ", + "Ǵ": "Ǵ", + "Ḡ": "Ḡ", + "Ğ": "Ğ", + "Ǧ": "Ǧ", + "Ĝ": "Ĝ", + "Ġ": "Ġ", + "Ģ": "Ģ", + "Ḧ": "Ḧ", + "Ȟ": "Ȟ", + "Ĥ": "Ĥ", + "Ḣ": "Ḣ", + "Ḩ": "Ḩ", + "Í": "Í", + "Ì": "Ì", + "Ï": "Ï", + "Ḯ": "Ḯ", + "Ĩ": "Ĩ", + "Ī": "Ī", + "Ĭ": "Ĭ", + "Ǐ": "Ǐ", + "Î": "Î", + "İ": "İ", + "Ĵ": "Ĵ", + "Ḱ": "Ḱ", + "Ǩ": "Ǩ", + "Ķ": "Ķ", + "Ĺ": "Ĺ", + "Ľ": "Ľ", + "Ļ": "Ļ", + "Ḿ": "Ḿ", + "Ṁ": "Ṁ", + "Ń": "Ń", + "Ǹ": "Ǹ", + "Ñ": "Ñ", + "Ň": "Ň", + "Ṅ": "Ṅ", + "Ņ": "Ņ", + "Ó": "Ó", + "Ò": "Ò", + "Ö": "Ö", + "Ȫ": "Ȫ", + "Õ": "Õ", + "Ṍ": "Ṍ", + "Ṏ": "Ṏ", + "Ȭ": "Ȭ", + "Ō": "Ō", + "Ṓ": "Ṓ", + "Ṑ": "Ṑ", + "Ŏ": "Ŏ", + "Ǒ": "Ǒ", + "Ô": "Ô", + "Ố": "Ố", + "Ồ": "Ồ", + "Ỗ": "Ỗ", + "Ȯ": "Ȯ", + "Ȱ": "Ȱ", + "Ő": "Ő", + "Ṕ": "Ṕ", + "Ṗ": "Ṗ", + "Ŕ": "Ŕ", + "Ř": "Ř", + "Ṙ": "Ṙ", + "Ŗ": "Ŗ", + "Ś": "Ś", + "Ṥ": "Ṥ", + "Š": "Š", + "Ṧ": "Ṧ", + "Ŝ": "Ŝ", + "Ṡ": "Ṡ", + "Ş": "Ş", + "Ť": "Ť", + "Ṫ": "Ṫ", + "Ţ": "Ţ", + "Ú": "Ú", + "Ù": "Ù", + "Ü": "Ü", + "Ǘ": "Ǘ", + "Ǜ": "Ǜ", + "Ǖ": "Ǖ", + "Ǚ": "Ǚ", + "Ũ": "Ũ", + "Ṹ": "Ṹ", + "Ū": "Ū", + "Ṻ": "Ṻ", + "Ŭ": "Ŭ", + "Ǔ": "Ǔ", + "Û": "Û", + "Ů": "Ů", + "Ű": "Ű", + "Ṽ": "Ṽ", + "Ẃ": "Ẃ", + "Ẁ": "Ẁ", + "Ẅ": "Ẅ", + "Ŵ": "Ŵ", + "Ẇ": "Ẇ", + "Ẍ": "Ẍ", + "Ẋ": "Ẋ", + "Ý": "Ý", + "Ỳ": "Ỳ", + "Ÿ": "Ÿ", + "Ỹ": "Ỹ", + "Ȳ": "Ȳ", + "Ŷ": "Ŷ", + "Ẏ": "Ẏ", + "Ź": "Ź", + "Ž": "Ž", + "Ẑ": "Ẑ", + "Ż": "Ż", + "ά": "ά", + "ὰ": "ὰ", + "ᾱ": "ᾱ", + "ᾰ": "ᾰ", + "έ": "έ", + "ὲ": "ὲ", + "ή": "ή", + "ὴ": "ὴ", + "ί": "ί", + "ὶ": "ὶ", + "ϊ": "ϊ", + "ΐ": "ΐ", + "ῒ": "ῒ", + "ῑ": "ῑ", + "ῐ": "ῐ", + "ό": "ό", + "ὸ": "ὸ", + "ύ": "ύ", + "ὺ": "ὺ", + "ϋ": "ϋ", + "ΰ": "ΰ", + "ῢ": "ῢ", + "ῡ": "ῡ", + "ῠ": "ῠ", + "ώ": "ώ", + "ὼ": "ὼ", + "Ύ": "Ύ", + "Ὺ": "Ὺ", + "Ϋ": "Ϋ", + "Ῡ": "Ῡ", + "Ῠ": "Ῠ", + "Ώ": "Ώ", + "Ὼ": "Ὼ" +}; + +/** + * This file contains the parser used to parse out a TeX expression from the + * input. Since TeX isn't context-free, standard parsers don't work particularly + * well. + * + * The strategy of this parser is as such: + * + * The main functions (the `.parse...` ones) take a position in the current + * parse string to parse tokens from. The lexer (found in Lexer.js, stored at + * this.gullet.lexer) also supports pulling out tokens at arbitrary places. When + * individual tokens are needed at a position, the lexer is called to pull out a + * token, which is then used. + * + * The parser has a property called "mode" indicating the mode that + * the parser is currently in. Currently it has to be one of "math" or + * "text", which denotes whether the current environment is a math-y + * one or a text-y one (e.g. inside \text). Currently, this serves to + * limit the functions which can be used in text mode. + * + * The main functions then return an object which contains the useful data that + * was parsed at its given point, and a new position at the end of the parsed + * data. The main functions can call each other and continue the parsing by + * using the returned position as a new starting point. + * + * There are also extra `.handle...` functions, which pull out some reused + * functionality into self-contained functions. + * + * The functions return ParseNodes. + */ +class Parser { + constructor(input, settings) { + this.mode = void 0; + this.gullet = void 0; + this.settings = void 0; + this.leftrightDepth = void 0; + this.nextToken = void 0; + // Start in math mode + this.mode = "math"; // Create a new macro expander (gullet) and (indirectly via that) also a + // new lexer (mouth) for this parser (stomach, in the language of TeX) + + this.gullet = new MacroExpander(input, settings, this.mode); // Store the settings for use in parsing + + this.settings = settings; // Count leftright depth (for \middle errors) + + this.leftrightDepth = 0; + } + /** + * Checks a result to make sure it has the right type, and throws an + * appropriate error otherwise. + */ + + + expect(text, consume) { + if (consume === void 0) { + consume = true; + } + + if (this.fetch().text !== text) { + throw new ParseError("Expected '" + text + "', got '" + this.fetch().text + "'", this.fetch()); + } + + if (consume) { + this.consume(); + } + } + /** + * Discards the current lookahead token, considering it consumed. + */ + + + consume() { + this.nextToken = null; + } + /** + * Return the current lookahead token, or if there isn't one (at the + * beginning, or if the previous lookahead token was consume()d), + * fetch the next token as the new lookahead token and return it. + */ + + + fetch() { + if (this.nextToken == null) { + this.nextToken = this.gullet.expandNextToken(); + } + + return this.nextToken; + } + /** + * Switches between "text" and "math" modes. + */ + + + switchMode(newMode) { + this.mode = newMode; + this.gullet.switchMode(newMode); + } + /** + * Main parsing function, which parses an entire input. + */ + + + parse() { + if (!this.settings.globalGroup) { + // Create a group namespace for the math expression. + // (LaTeX creates a new group for every $...$, $$...$$, \[...\].) + this.gullet.beginGroup(); + } // Use old \color behavior (same as LaTeX's \textcolor) if requested. + // We do this within the group for the math expression, so it doesn't + // pollute settings.macros. + + + if (this.settings.colorIsTextColor) { + this.gullet.macros.set("\\color", "\\textcolor"); + } + + try { + // Try to parse the input + var parse = this.parseExpression(false); // If we succeeded, make sure there's an EOF at the end + + this.expect("EOF"); // End the group namespace for the expression + + if (!this.settings.globalGroup) { + this.gullet.endGroup(); + } + + return parse; // Close any leftover groups in case of a parse error. + } finally { + this.gullet.endGroups(); + } + } + /** + * Fully parse a separate sequence of tokens as a separate job. + * Tokens should be specified in reverse order, as in a MacroDefinition. + */ + + + subparse(tokens) { + // Save the next token from the current job. + var oldToken = this.nextToken; + this.consume(); // Run the new job, terminating it with an excess '}' + + this.gullet.pushToken(new Token("}")); + this.gullet.pushTokens(tokens); + var parse = this.parseExpression(false); + this.expect("}"); // Restore the next token from the current job. + + this.nextToken = oldToken; + return parse; + } + + /** + * Parses an "expression", which is a list of atoms. + * + * `breakOnInfix`: Should the parsing stop when we hit infix nodes? This + * happens when functions have higher precendence han infix + * nodes in implicit parses. + * + * `breakOnTokenText`: The text of the token that the expression should end + * with, or `null` if something else should end the + * expression. + */ + parseExpression(breakOnInfix, breakOnTokenText) { + var body = []; // Keep adding atoms to the body until we can't parse any more atoms (either + // we reached the end, a }, or a \right) + + while (true) { + // Ignore spaces in math mode + if (this.mode === "math") { + this.consumeSpaces(); + } + + var lex = this.fetch(); + + if (Parser.endOfExpression.indexOf(lex.text) !== -1) { + break; + } + + if (breakOnTokenText && lex.text === breakOnTokenText) { + break; + } + + if (breakOnInfix && functions[lex.text] && functions[lex.text].infix) { + break; + } + + var atom = this.parseAtom(breakOnTokenText); + + if (!atom) { + break; + } else if (atom.type === "internal") { + continue; + } + + body.push(atom); + } + + if (this.mode === "text") { + this.formLigatures(body); + } + + return this.handleInfixNodes(body); + } + /** + * Rewrites infix operators such as \over with corresponding commands such + * as \frac. + * + * There can only be one infix operator per group. If there's more than one + * then the expression is ambiguous. This can be resolved by adding {}. + */ + + + handleInfixNodes(body) { + var overIndex = -1; + var funcName; + + for (var i = 0; i < body.length; i++) { + if (body[i].type === "infix") { + if (overIndex !== -1) { + throw new ParseError("only one infix operator per group", body[i].token); + } + + overIndex = i; + funcName = body[i].replaceWith; + } + } + + if (overIndex !== -1 && funcName) { + var numerNode; + var denomNode; + var numerBody = body.slice(0, overIndex); + var denomBody = body.slice(overIndex + 1); + + if (numerBody.length === 1 && numerBody[0].type === "ordgroup") { + numerNode = numerBody[0]; + } else { + numerNode = { + type: "ordgroup", + mode: this.mode, + body: numerBody + }; + } + + if (denomBody.length === 1 && denomBody[0].type === "ordgroup") { + denomNode = denomBody[0]; + } else { + denomNode = { + type: "ordgroup", + mode: this.mode, + body: denomBody + }; + } + + var node; + + if (funcName === "\\\\abovefrac") { + node = this.callFunction(funcName, [numerNode, body[overIndex], denomNode], []); + } else { + node = this.callFunction(funcName, [numerNode, denomNode], []); + } + + return [node]; + } else { + return body; + } + } + /** + * Handle a subscript or superscript with nice errors. + */ + + + handleSupSubscript(name // For error reporting. + ) { + var symbolToken = this.fetch(); + var symbol = symbolToken.text; + this.consume(); + this.consumeSpaces(); // ignore spaces before sup/subscript argument + + var group = this.parseGroup(name); + + if (!group) { + throw new ParseError("Expected group after '" + symbol + "'", symbolToken); + } + + return group; + } + /** + * Converts the textual input of an unsupported command into a text node + * contained within a color node whose color is determined by errorColor + */ + + + formatUnsupportedCmd(text) { + var textordArray = []; + + for (var i = 0; i < text.length; i++) { + textordArray.push({ + type: "textord", + mode: "text", + text: text[i] + }); + } + + var textNode = { + type: "text", + mode: this.mode, + body: textordArray + }; + var colorNode = { + type: "color", + mode: this.mode, + color: this.settings.errorColor, + body: [textNode] + }; + return colorNode; + } + /** + * Parses a group with optional super/subscripts. + */ + + + parseAtom(breakOnTokenText) { + // The body of an atom is an implicit group, so that things like + // \left(x\right)^2 work correctly. + var base = this.parseGroup("atom", breakOnTokenText); // In text mode, we don't have superscripts or subscripts + + if (this.mode === "text") { + return base; + } // Note that base may be empty (i.e. null) at this point. + + + var superscript; + var subscript; + + while (true) { + // Guaranteed in math mode, so eat any spaces first. + this.consumeSpaces(); // Lex the first token + + var lex = this.fetch(); + + if (lex.text === "\\limits" || lex.text === "\\nolimits") { + // We got a limit control + if (base && base.type === "op") { + var limits = lex.text === "\\limits"; + base.limits = limits; + base.alwaysHandleSupSub = true; + } else if (base && base.type === "operatorname") { + if (base.alwaysHandleSupSub) { + base.limits = lex.text === "\\limits"; + } + } else { + throw new ParseError("Limit controls must follow a math operator", lex); + } + + this.consume(); + } else if (lex.text === "^") { + // We got a superscript start + if (superscript) { + throw new ParseError("Double superscript", lex); + } + + superscript = this.handleSupSubscript("superscript"); + } else if (lex.text === "_") { + // We got a subscript start + if (subscript) { + throw new ParseError("Double subscript", lex); + } + + subscript = this.handleSupSubscript("subscript"); + } else if (lex.text === "'") { + // We got a prime + if (superscript) { + throw new ParseError("Double superscript", lex); + } + + var prime = { + type: "textord", + mode: this.mode, + text: "\\prime" + }; // Many primes can be grouped together, so we handle this here + + var primes = [prime]; + this.consume(); // Keep lexing tokens until we get something that's not a prime + + while (this.fetch().text === "'") { + // For each one, add another prime to the list + primes.push(prime); + this.consume(); + } // If there's a superscript following the primes, combine that + // superscript in with the primes. + + + if (this.fetch().text === "^") { + primes.push(this.handleSupSubscript("superscript")); + } // Put everything into an ordgroup as the superscript + + + superscript = { + type: "ordgroup", + mode: this.mode, + body: primes + }; + } else if (uSubsAndSups[lex.text]) { + // A Unicode subscript or superscript character. + // We treat these similarly to the unicode-math package. + // So we render a string of Unicode (sub|super)scripts the + // same as a (sub|super)script of regular characters. + var str = uSubsAndSups[lex.text]; + var isSub = unicodeSubRegEx.test(lex.text); + this.consume(); // Continue fetching tokens to fill out the string. + + while (true) { + var token = this.fetch().text; + + if (!uSubsAndSups[token]) { + break; + } + + if (unicodeSubRegEx.test(token) !== isSub) { + break; + } + + this.consume(); + str += uSubsAndSups[token]; + } // Now create a (sub|super)script. + + + var body = new Parser(str, this.settings).parse(); + + if (isSub) { + subscript = { + type: "ordgroup", + mode: "math", + body + }; + } else { + superscript = { + type: "ordgroup", + mode: "math", + body + }; + } + } else { + // If it wasn't ^, _, or ', stop parsing super/subscripts + break; + } + } // Base must be set if superscript or subscript are set per logic above, + // but need to check here for type check to pass. + + + if (superscript || subscript) { + // If we got either a superscript or subscript, create a supsub + return { + type: "supsub", + mode: this.mode, + base: base, + sup: superscript, + sub: subscript + }; + } else { + // Otherwise return the original body + return base; + } + } + /** + * Parses an entire function, including its base and all of its arguments. + */ + + + parseFunction(breakOnTokenText, name // For determining its context + ) { + var token = this.fetch(); + var func = token.text; + var funcData = functions[func]; + + if (!funcData) { + return null; + } + + this.consume(); // consume command token + + if (name && name !== "atom" && !funcData.allowedInArgument) { + throw new ParseError("Got function '" + func + "' with no arguments" + (name ? " as " + name : ""), token); + } else if (this.mode === "text" && !funcData.allowedInText) { + throw new ParseError("Can't use function '" + func + "' in text mode", token); + } else if (this.mode === "math" && funcData.allowedInMath === false) { + throw new ParseError("Can't use function '" + func + "' in math mode", token); + } + + var { + args, + optArgs + } = this.parseArguments(func, funcData); + return this.callFunction(func, args, optArgs, token, breakOnTokenText); + } + /** + * Call a function handler with a suitable context and arguments. + */ + + + callFunction(name, args, optArgs, token, breakOnTokenText) { + var context = { + funcName: name, + parser: this, + token, + breakOnTokenText + }; + var func = functions[name]; + + if (func && func.handler) { + return func.handler(context, args, optArgs); + } else { + throw new ParseError("No function handler for " + name); + } + } + /** + * Parses the arguments of a function or environment + */ + + + parseArguments(func, // Should look like "\name" or "\begin{name}". + funcData) { + var totalArgs = funcData.numArgs + funcData.numOptionalArgs; + + if (totalArgs === 0) { + return { + args: [], + optArgs: [] + }; + } + + var args = []; + var optArgs = []; + + for (var i = 0; i < totalArgs; i++) { + var argType = funcData.argTypes && funcData.argTypes[i]; + var isOptional = i < funcData.numOptionalArgs; + + if (funcData.primitive && argType == null || // \sqrt expands into primitive if optional argument doesn't exist + funcData.type === "sqrt" && i === 1 && optArgs[0] == null) { + argType = "primitive"; + } + + var arg = this.parseGroupOfType("argument to '" + func + "'", argType, isOptional); + + if (isOptional) { + optArgs.push(arg); + } else if (arg != null) { + args.push(arg); + } else { + // should be unreachable + throw new ParseError("Null argument, please report this as a bug"); + } + } + + return { + args, + optArgs + }; + } + /** + * Parses a group when the mode is changing. + */ + + + parseGroupOfType(name, type, optional) { + switch (type) { + case "color": + return this.parseColorGroup(optional); + + case "size": + return this.parseSizeGroup(optional); + + case "url": + return this.parseUrlGroup(optional); + + case "math": + case "text": + return this.parseArgumentGroup(optional, type); + + case "hbox": + { + // hbox argument type wraps the argument in the equivalent of + // \hbox, which is like \text but switching to \textstyle size. + var group = this.parseArgumentGroup(optional, "text"); + return group != null ? { + type: "styling", + mode: group.mode, + body: [group], + style: "text" // simulate \textstyle + + } : null; + } + + case "raw": + { + var token = this.parseStringGroup("raw", optional); + return token != null ? { + type: "raw", + mode: "text", + string: token.text + } : null; + } + + case "primitive": + { + if (optional) { + throw new ParseError("A primitive argument cannot be optional"); + } + + var _group = this.parseGroup(name); + + if (_group == null) { + throw new ParseError("Expected group as " + name, this.fetch()); + } + + return _group; + } + + case "original": + case null: + case undefined: + return this.parseArgumentGroup(optional); + + default: + throw new ParseError("Unknown group type as " + name, this.fetch()); + } + } + /** + * Discard any space tokens, fetching the next non-space token. + */ + + + consumeSpaces() { + while (this.fetch().text === " ") { + this.consume(); + } + } + /** + * Parses a group, essentially returning the string formed by the + * brace-enclosed tokens plus some position information. + */ + + + parseStringGroup(modeName, // Used to describe the mode in error messages. + optional) { + var argToken = this.gullet.scanArgument(optional); + + if (argToken == null) { + return null; + } + + var str = ""; + var nextToken; + + while ((nextToken = this.fetch()).text !== "EOF") { + str += nextToken.text; + this.consume(); + } + + this.consume(); // consume the end of the argument + + argToken.text = str; + return argToken; + } + /** + * Parses a regex-delimited group: the largest sequence of tokens + * whose concatenated strings match `regex`. Returns the string + * formed by the tokens plus some position information. + */ + + + parseRegexGroup(regex, modeName // Used to describe the mode in error messages. + ) { + var firstToken = this.fetch(); + var lastToken = firstToken; + var str = ""; + var nextToken; + + while ((nextToken = this.fetch()).text !== "EOF" && regex.test(str + nextToken.text)) { + lastToken = nextToken; + str += lastToken.text; + this.consume(); + } + + if (str === "") { + throw new ParseError("Invalid " + modeName + ": '" + firstToken.text + "'", firstToken); + } + + return firstToken.range(lastToken, str); + } + /** + * Parses a color description. + */ + + + parseColorGroup(optional) { + var res = this.parseStringGroup("color", optional); + + if (res == null) { + return null; + } + + var match = /^(#[a-f0-9]{3}|#?[a-f0-9]{6}|[a-z]+)$/i.exec(res.text); + + if (!match) { + throw new ParseError("Invalid color: '" + res.text + "'", res); + } + + var color = match[0]; + + if (/^[0-9a-f]{6}$/i.test(color)) { + // We allow a 6-digit HTML color spec without a leading "#". + // This follows the xcolor package's HTML color model. + // Predefined color names are all missed by this RegEx pattern. + color = "#" + color; + } + + return { + type: "color-token", + mode: this.mode, + color + }; + } + /** + * Parses a size specification, consisting of magnitude and unit. + */ + + + parseSizeGroup(optional) { + var res; + var isBlank = false; // don't expand before parseStringGroup + + this.gullet.consumeSpaces(); + + if (!optional && this.gullet.future().text !== "{") { + res = this.parseRegexGroup(/^[-+]? *(?:$|\d+|\d+\.\d*|\.\d*) *[a-z]{0,2} *$/, "size"); + } else { + res = this.parseStringGroup("size", optional); + } + + if (!res) { + return null; + } + + if (!optional && res.text.length === 0) { + // Because we've tested for what is !optional, this block won't + // affect \kern, \hspace, etc. It will capture the mandatory arguments + // to \genfrac and \above. + res.text = "0pt"; // Enable \above{} + + isBlank = true; // This is here specifically for \genfrac + } + + var match = /([-+]?) *(\d+(?:\.\d*)?|\.\d+) *([a-z]{2})/.exec(res.text); + + if (!match) { + throw new ParseError("Invalid size: '" + res.text + "'", res); + } + + var data = { + number: +(match[1] + match[2]), + // sign + magnitude, cast to number + unit: match[3] + }; + + if (!validUnit(data)) { + throw new ParseError("Invalid unit: '" + data.unit + "'", res); + } + + return { + type: "size", + mode: this.mode, + value: data, + isBlank + }; + } + /** + * Parses an URL, checking escaped letters and allowed protocols, + * and setting the catcode of % as an active character (as in \hyperref). + */ + + + parseUrlGroup(optional) { + this.gullet.lexer.setCatcode("%", 13); // active character + + this.gullet.lexer.setCatcode("~", 12); // other character + + var res = this.parseStringGroup("url", optional); + this.gullet.lexer.setCatcode("%", 14); // comment character + + this.gullet.lexer.setCatcode("~", 13); // active character + + if (res == null) { + return null; + } // hyperref package allows backslashes alone in href, but doesn't + // generate valid links in such cases; we interpret this as + // "undefined" behaviour, and keep them as-is. Some browser will + // replace backslashes with forward slashes. + + + var url = res.text.replace(/\\([#$%&~_^{}])/g, '$1'); + return { + type: "url", + mode: this.mode, + url + }; + } + /** + * Parses an argument with the mode specified. + */ + + + parseArgumentGroup(optional, mode) { + var argToken = this.gullet.scanArgument(optional); + + if (argToken == null) { + return null; + } + + var outerMode = this.mode; + + if (mode) { + // Switch to specified mode + this.switchMode(mode); + } + + this.gullet.beginGroup(); + var expression = this.parseExpression(false, "EOF"); // TODO: find an alternative way to denote the end + + this.expect("EOF"); // expect the end of the argument + + this.gullet.endGroup(); + var result = { + type: "ordgroup", + mode: this.mode, + loc: argToken.loc, + body: expression + }; + + if (mode) { + // Switch mode back + this.switchMode(outerMode); + } + + return result; + } + /** + * Parses an ordinary group, which is either a single nucleus (like "x") + * or an expression in braces (like "{x+y}") or an implicit group, a group + * that starts at the current position, and ends right before a higher explicit + * group ends, or at EOF. + */ + + + parseGroup(name, // For error reporting. + breakOnTokenText) { + var firstToken = this.fetch(); + var text = firstToken.text; + var result; // Try to parse an open brace or \begingroup + + if (text === "{" || text === "\\begingroup") { + this.consume(); + var groupEnd = text === "{" ? "}" : "\\endgroup"; + this.gullet.beginGroup(); // If we get a brace, parse an expression + + var expression = this.parseExpression(false, groupEnd); + var lastToken = this.fetch(); + this.expect(groupEnd); // Check that we got a matching closing brace + + this.gullet.endGroup(); + result = { + type: "ordgroup", + mode: this.mode, + loc: SourceLocation.range(firstToken, lastToken), + body: expression, + // A group formed by \begingroup...\endgroup is a semi-simple group + // which doesn't affect spacing in math mode, i.e., is transparent. + // https://tex.stackexchange.com/questions/1930/when-should-one- + // use-begingroup-instead-of-bgroup + semisimple: text === "\\begingroup" || undefined + }; + } else { + // If there exists a function with this name, parse the function. + // Otherwise, just return a nucleus + result = this.parseFunction(breakOnTokenText, name) || this.parseSymbol(); + + if (result == null && text[0] === "\\" && !implicitCommands.hasOwnProperty(text)) { + if (this.settings.throwOnError) { + throw new ParseError("Undefined control sequence: " + text, firstToken); + } + + result = this.formatUnsupportedCmd(text); + this.consume(); + } + } + + return result; + } + /** + * Form ligature-like combinations of characters for text mode. + * This includes inputs like "--", "---", "``" and "''". + * The result will simply replace multiple textord nodes with a single + * character in each value by a single textord node having multiple + * characters in its value. The representation is still ASCII source. + * The group will be modified in place. + */ + + + formLigatures(group) { + var n = group.length - 1; + + for (var i = 0; i < n; ++i) { + var a = group[i]; // $FlowFixMe: Not every node type has a `text` property. + + var v = a.text; + + if (v === "-" && group[i + 1].text === "-") { + if (i + 1 < n && group[i + 2].text === "-") { + group.splice(i, 3, { + type: "textord", + mode: "text", + loc: SourceLocation.range(a, group[i + 2]), + text: "---" + }); + n -= 2; + } else { + group.splice(i, 2, { + type: "textord", + mode: "text", + loc: SourceLocation.range(a, group[i + 1]), + text: "--" + }); + n -= 1; + } + } + + if ((v === "'" || v === "`") && group[i + 1].text === v) { + group.splice(i, 2, { + type: "textord", + mode: "text", + loc: SourceLocation.range(a, group[i + 1]), + text: v + v + }); + n -= 1; + } + } + } + /** + * Parse a single symbol out of the string. Here, we handle single character + * symbols and special functions like \verb. + */ + + + parseSymbol() { + var nucleus = this.fetch(); + var text = nucleus.text; + + if (/^\\verb[^a-zA-Z]/.test(text)) { + this.consume(); + var arg = text.slice(5); + var star = arg.charAt(0) === "*"; + + if (star) { + arg = arg.slice(1); + } // Lexer's tokenRegex is constructed to always have matching + // first/last characters. + + + if (arg.length < 2 || arg.charAt(0) !== arg.slice(-1)) { + throw new ParseError("\\verb assertion failed --\n please report what input caused this bug"); + } + + arg = arg.slice(1, -1); // remove first and last char + + return { + type: "verb", + mode: "text", + body: arg, + star + }; + } // At this point, we should have a symbol, possibly with accents. + // First expand any accented base symbol according to unicodeSymbols. + + + if (unicodeSymbols.hasOwnProperty(text[0]) && !symbols[this.mode][text[0]]) { + // This behavior is not strict (XeTeX-compatible) in math mode. + if (this.settings.strict && this.mode === "math") { + this.settings.reportNonstrict("unicodeTextInMathMode", "Accented Unicode text character \"" + text[0] + "\" used in " + "math mode", nucleus); + } + + text = unicodeSymbols[text[0]] + text.slice(1); + } // Strip off any combining characters + + + var match = combiningDiacriticalMarksEndRegex.exec(text); + + if (match) { + text = text.substring(0, match.index); + + if (text === 'i') { + text = '\u0131'; // dotless i, in math and text mode + } else if (text === 'j') { + text = '\u0237'; // dotless j, in math and text mode + } + } // Recognize base symbol + + + var symbol; + + if (symbols[this.mode][text]) { + if (this.settings.strict && this.mode === 'math' && extraLatin.indexOf(text) >= 0) { + this.settings.reportNonstrict("unicodeTextInMathMode", "Latin-1/Unicode text character \"" + text[0] + "\" used in " + "math mode", nucleus); + } + + var group = symbols[this.mode][text].group; + var loc = SourceLocation.range(nucleus); + var s; + + if (ATOMS.hasOwnProperty(group)) { + // $FlowFixMe + var family = group; + s = { + type: "atom", + mode: this.mode, + family, + loc, + text + }; + } else { + // $FlowFixMe + s = { + type: group, + mode: this.mode, + loc, + text + }; + } // $FlowFixMe + + + symbol = s; + } else if (text.charCodeAt(0) >= 0x80) { + // no symbol for e.g. ^ + if (this.settings.strict) { + if (!supportedCodepoint(text.charCodeAt(0))) { + this.settings.reportNonstrict("unknownSymbol", "Unrecognized Unicode character \"" + text[0] + "\"" + (" (" + text.charCodeAt(0) + ")"), nucleus); + } else if (this.mode === "math") { + this.settings.reportNonstrict("unicodeTextInMathMode", "Unicode text character \"" + text[0] + "\" used in math mode", nucleus); + } + } // All nonmathematical Unicode characters are rendered as if they + // are in text mode (wrapped in \text) because that's what it + // takes to render them in LaTeX. Setting `mode: this.mode` is + // another natural choice (the user requested math mode), but + // this makes it more difficult for getCharacterMetrics() to + // distinguish Unicode characters without metrics and those for + // which we want to simulate the letter M. + + + symbol = { + type: "textord", + mode: "text", + loc: SourceLocation.range(nucleus), + text + }; + } else { + return null; // EOF, ^, _, {, }, etc. + } + + this.consume(); // Transform combining characters into accents + + if (match) { + for (var i = 0; i < match[0].length; i++) { + var accent = match[0][i]; + + if (!unicodeAccents[accent]) { + throw new ParseError("Unknown accent ' " + accent + "'", nucleus); + } + + var command = unicodeAccents[accent][this.mode] || unicodeAccents[accent].text; + + if (!command) { + throw new ParseError("Accent " + accent + " unsupported in " + this.mode + " mode", nucleus); + } + + symbol = { + type: "accent", + mode: this.mode, + loc: SourceLocation.range(nucleus), + label: command, + isStretchy: false, + isShifty: true, + // $FlowFixMe + base: symbol + }; + } + } // $FlowFixMe + + + return symbol; + } + +} +Parser.endOfExpression = ["}", "\\endgroup", "\\end", "\\right", "&"]; + +/** + * Provides a single function for parsing an expression using a Parser + * TODO(emily): Remove this + */ + +/** + * Parses an expression using a Parser, then returns the parsed result. + */ +var parseTree = function parseTree(toParse, settings) { + if (!(typeof toParse === 'string' || toParse instanceof String)) { + throw new TypeError('KaTeX can only parse string typed expression'); + } + + var parser = new Parser(toParse, settings); // Blank out any \df@tag to avoid spurious "Duplicate \tag" errors + + delete parser.gullet.macros.current["\\df@tag"]; + var tree = parser.parse(); // Prevent a color definition from persisting between calls to katex.render(). + + delete parser.gullet.macros.current["\\current@color"]; + delete parser.gullet.macros.current["\\color"]; // If the input used \tag, it will set the \df@tag macro to the tag. + // In this case, we separately parse the tag and wrap the tree. + + if (parser.gullet.macros.get("\\df@tag")) { + if (!settings.displayMode) { + throw new ParseError("\\tag works only in display equations"); + } + + tree = [{ + type: "tag", + mode: "text", + body: tree, + tag: parser.subparse([new Token("\\df@tag")]) + }]; + } + + return tree; +}; + +/* eslint no-console:0 */ + +/** + * Parse and build an expression, and place that expression in the DOM node + * given. + */ +var render = function render(expression, baseNode, options) { + baseNode.textContent = ""; + var node = renderToDomTree(expression, options).toNode(); + baseNode.appendChild(node); +}; // KaTeX's styles don't work properly in quirks mode. Print out an error, and +// disable rendering. + + +if (typeof document !== "undefined") { + if (document.compatMode !== "CSS1Compat") { + typeof console !== "undefined" && console.warn("Warning: KaTeX doesn't work in quirks mode. Make sure your " + "website has a suitable doctype."); + + render = function render() { + throw new ParseError("KaTeX doesn't work in quirks mode."); + }; + } +} +/** + * Parse and build an expression, and return the markup for that. + */ + + +var renderToString = function renderToString(expression, options) { + var markup = renderToDomTree(expression, options).toMarkup(); + return markup; +}; +/** + * Parse an expression and return the parse tree. + */ + + +var generateParseTree = function generateParseTree(expression, options) { + var settings = new Settings(options); + return parseTree(expression, settings); +}; +/** + * If the given error is a KaTeX ParseError and options.throwOnError is false, + * renders the invalid LaTeX as a span with hover title giving the KaTeX + * error message. Otherwise, simply throws the error. + */ + + +var renderError = function renderError(error, expression, options) { + if (options.throwOnError || !(error instanceof ParseError)) { + throw error; + } + + var node = buildCommon.makeSpan(["katex-error"], [new SymbolNode(expression)]); + node.setAttribute("title", error.toString()); + node.setAttribute("style", "color:" + options.errorColor); + return node; +}; +/** + * Generates and returns the katex build tree. This is used for advanced + * use cases (like rendering to custom output). + */ + + +var renderToDomTree = function renderToDomTree(expression, options) { + var settings = new Settings(options); + + try { + var tree = parseTree(expression, settings); + return buildTree(tree, expression, settings); + } catch (error) { + return renderError(error, expression, settings); + } +}; +/** + * Generates and returns the katex build tree, with just HTML (no MathML). + * This is used for advanced use cases (like rendering to custom output). + */ + + +var renderToHTMLTree = function renderToHTMLTree(expression, options) { + var settings = new Settings(options); + + try { + var tree = parseTree(expression, settings); + return buildHTMLTree(tree, expression, settings); + } catch (error) { + return renderError(error, expression, settings); + } +}; + +var katex = { + /** + * Current KaTeX version + */ + version: "0.16.4", + + /** + * Renders the given LaTeX into an HTML+MathML combination, and adds + * it as a child to the specified DOM node. + */ + render, + + /** + * Renders the given LaTeX into an HTML+MathML combination string, + * for sending to the client. + */ + renderToString, + + /** + * KaTeX error, usually during parsing. + */ + ParseError, + + /** + * The shema of Settings + */ + SETTINGS_SCHEMA, + + /** + * Parses the given LaTeX into KaTeX's internal parse tree structure, + * without rendering to HTML or MathML. + * + * NOTE: This method is not currently recommended for public use. + * The internal tree representation is unstable and is very likely + * to change. Use at your own risk. + */ + __parse: generateParseTree, + + /** + * Renders the given LaTeX into an HTML+MathML internal DOM tree + * representation, without flattening that representation to a string. + * + * NOTE: This method is not currently recommended for public use. + * The internal tree representation is unstable and is very likely + * to change. Use at your own risk. + */ + __renderToDomTree: renderToDomTree, + + /** + * Renders the given LaTeX into an HTML internal DOM tree representation, + * without MathML and without flattening that representation to a string. + * + * NOTE: This method is not currently recommended for public use. + * The internal tree representation is unstable and is very likely + * to change. Use at your own risk. + */ + __renderToHTMLTree: renderToHTMLTree, + + /** + * extends internal font metrics object with a new object + * each key in the new object represents a font name + */ + __setFontMetrics: setFontMetrics, + + /** + * adds a new symbol to builtin symbols table + */ + __defineSymbol: defineSymbol, + + /** + * adds a new macro to builtin macro list + */ + __defineMacro: defineMacro, + + /** + * Expose the dom tree node types, which can be useful for type checking nodes. + * + * NOTE: This method is not currently recommended for public use. + * The internal tree representation is unstable and is very likely + * to change. Use at your own risk. + */ + __domTree: { + Span, + Anchor, + SymbolNode, + SvgNode, + PathNode, + LineNode + } +}; + +export { katex as default }; diff --git a/links/index.html b/links/index.html deleted file mode 100644 index 9fb7970..0000000 --- a/links/index.html +++ /dev/null @@ -1,828 +0,0 @@ - - - - - - - - - - 友链 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
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    友链

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    更新日志

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      2023.10.12 修改大量文章内容

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      2023.3.16 更新日志移动至新页面log(日志)

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      2023.3.16 删除works(作品)页面

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      2023.3.16 tools页面改名为资源

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      2023.3.15 修改主题为 Kaze

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      2023.2.17 新增tools(工具)页面

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      2023.2.17 新增works(作品)页面

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      2023.2.17 同步多篇本地文章

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      2023.2.17 博客绑定域名 hawyior.top

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      2023.2.17 博客基于Hexo搭建框架完毕,主题采用cactus

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    - - 目录 -
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    1. 更新日志
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    -
    - - - - - - - - - - - - - - - - - - - - - - - + + - - + + + + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/logo.png b/logo.png new file mode 100644 index 0000000..f0bf0ee Binary files /dev/null and b/logo.png differ diff --git a/mathjax/output/chtml.js b/mathjax/output/chtml.js new file mode 100644 index 0000000..2617f17 --- /dev/null +++ b/mathjax/output/chtml.js @@ -0,0 +1 @@ +!function(){"use strict";var t,e,r,o,n,i,a,s,l,h,c,u,p,d,f,m,y,v,b,x,g,M,_,w,C,j,S,O,T,L,B,P,H,A,k,N,E,D,W,R,I,F,J,V,z,U,X,K,q,Q,G,Y,Z,$,tt,et,rt,ot,nt,it,at,st,lt,ht,ct,ut={7016:function(t,e,r){var o,n=this&&this.__extends||(o=function(t,e){return(o=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var r in e)Object.prototype.hasOwnProperty.call(e,r)&&(t[r]=e[r])})(t,e)},function(t,e){if("function"!=typeof e&&null!==e)throw new TypeError("Class extends value "+String(e)+" is not a constructor or null");function 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f=a(Object.keys(c.defaultChars)),m=f.next();!m.done;m=f.next()){var y=m.value;this.defineChars(y,c.defaultChars[y])}}catch(t){l={error:t}}finally{try{m&&!m.done&&(h=f.return)&&h.call(f)}finally{if(l)throw l.error}}this.defineRemap("accent",c.defaultAccentMap),this.defineRemap("mo",c.defaultMoMap),this.defineRemap("mn",c.defaultMnMap)}return t.charOptions=function(t,e){var r=t[e];return 3===r.length&&(r[3]={}),r[3]},Object.defineProperty(t.prototype,"styles",{get:function(){return this._styles},set:function(t){this._styles=t},enumerable:!1,configurable:!0}),t.prototype.createVariant=function(t,e,r){void 0===e&&(e=null),void 0===r&&(r=null);var o={linked:[],chars:e?Object.create(this.variant[e].chars):{}};r&&this.variant[r]&&(Object.assign(o.chars,this.variant[r].chars),this.variant[r].linked.push(o.chars),o.chars=Object.create(o.chars)),this.remapSmpChars(o.chars,t),this.variant[t]=o},t.prototype.remapSmpChars=function(t,e){var r,o,i,s,l=this.constructor;if(l.VariantSmp[e]){var h=l.SmpRemap,c=[null,null,l.SmpRemapGreekU,l.SmpRemapGreekL];try{for(var u=a(l.SmpRanges),p=u.next();!p.done;p=u.next()){var d=n(p.value,3),f=d[0],m=d[1],y=d[2],v=l.VariantSmp[e][f];if(v){for(var b=m;b<=y;b++)if(930!==b){var x=v+b-m;t[b]=this.smpChar(h[x]||x)}if(c[f])try{for(var g=(i=void 0,a(Object.keys(c[f]).map((function(t){return parseInt(t)})))),M=g.next();!M.done;M=g.next()){t[b=M.value]=this.smpChar(v+c[f][b])}}catch(t){i={error:t}}finally{try{M&&!M.done&&(s=g.return)&&s.call(g)}finally{if(i)throw i.error}}}}}catch(t){r={error:t}}finally{try{p&&!p.done&&(o=u.return)&&o.call(u)}finally{if(r)throw r.error}}}"bold"===e&&(t[988]=this.smpChar(120778),t[989]=this.smpChar(120779))},t.prototype.smpChar=function(t){return[,,,{smp:t}]},t.prototype.createVariants=function(t){var e,r;try{for(var o=a(t),n=o.next();!n.done;n=o.next()){var i=n.value;this.createVariant(i[0],i[1],i[2])}}catch(t){e={error:t}}finally{try{n&&!n.done&&(r=o.return)&&r.call(o)}finally{if(e)throw 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this.attributes.isSet("lspace")||this.attributes.isSet("rspace")},Object.defineProperty(e.prototype,"isAccent",{get:function(){var t=!1,e=this.coreParent().parent;if(e){var r=e.isKind("mover")?e.childNodes[e.over].coreMO()?"accent":"":e.isKind("munder")?e.childNodes[e.under].coreMO()?"accentunder":"":e.isKind("munderover")?this===e.childNodes[e.over].coreMO()?"accent":this===e.childNodes[e.under].coreMO()?"accentunder":"":"";if(r)t=void 0!==e.attributes.getExplicit(r)?t:this.attributes.get("accent")}return t},enumerable:!1,configurable:!0}),e.prototype.setTeXclass=function(t){var e=this.attributes.getList("form","fence"),r=e.form,n=e.fence;return void 0===this.getProperty("texClass")&&(this.attributes.isSet("lspace")||this.attributes.isSet("rspace"))?null:(n&&this.texClass===l.TEXCLASS.REL&&("prefix"===r&&(this.texClass=l.TEXCLASS.OPEN),"postfix"===r&&(this.texClass=l.TEXCLASS.CLOSE)),this.adjustTeXclass(t))},e.prototype.adjustTeXclass=function(t){var 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t=this,e=this.parent,r=this.Parent;r&&r.isEmbellished;)t=e,e=r.parent,r=r.Parent;if(e&&e.isKind("mrow")&&1!==e.nonSpaceLength()){if(e.firstNonSpace()===t)return["prefix","infix","postfix"];if(e.lastNonSpace()===t)return["postfix","infix","prefix"]}return["infix","prefix","postfix"]},e.prototype.handleExplicitForm=function(t){if(this.attributes.isSet("form")){var e=this.attributes.get("form");t=[e].concat(t.filter((function(t){return t!==e})))}return t},e.prototype.checkPseudoScripts=function(t){var e=this.constructor.pseudoScripts;if(t.match(e)){var r=this.coreParent().Parent,n=!r||!(r.isKind("msubsup")&&!r.isKind("msub"));this.setProperty("pseudoscript",n),n&&(this.attributes.setInherited("lspace",0),this.attributes.setInherited("rspace",0))}},e.prototype.checkPrimes=function(t){var e=this.constructor.primes;if(t.match(e)){var r=this.constructor.remapPrimes,n=u.unicodeString(u.unicodeChars(t).map((function(t){return 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o.CharacterMap("AMSsymbols-mathchar0mi",a.default.mathchar0mi,{digamma:"\u03dd",varkappa:"\u03f0",varGamma:["\u0393",{mathvariant:i.TexConstant.Variant.ITALIC}],varDelta:["\u0394",{mathvariant:i.TexConstant.Variant.ITALIC}],varTheta:["\u0398",{mathvariant:i.TexConstant.Variant.ITALIC}],varLambda:["\u039b",{mathvariant:i.TexConstant.Variant.ITALIC}],varXi:["\u039e",{mathvariant:i.TexConstant.Variant.ITALIC}],varPi:["\u03a0",{mathvariant:i.TexConstant.Variant.ITALIC}],varSigma:["\u03a3",{mathvariant:i.TexConstant.Variant.ITALIC}],varUpsilon:["\u03a5",{mathvariant:i.TexConstant.Variant.ITALIC}],varPhi:["\u03a6",{mathvariant:i.TexConstant.Variant.ITALIC}],varPsi:["\u03a8",{mathvariant:i.TexConstant.Variant.ITALIC}],varOmega:["\u03a9",{mathvariant:i.TexConstant.Variant.ITALIC}],beth:"\u2136",gimel:"\u2137",daleth:"\u2138",backprime:["\u2035",{variantForm:!0}],hslash:"\u210f",varnothing:["\u2205",{variantForm:!0}],blacktriangle:"\u25b4",triangledown:["\u25bd",{variantForm:!0}],blacktriangledown:"\u25be",square:"\u25fb",Box:"\u25fb",blacksquare:"\u25fc",lozenge:"\u25ca",Diamond:"\u25ca",blacklozenge:"\u29eb",circledS:["\u24c8",{mathvariant:i.TexConstant.Variant.NORMAL}],bigstar:"\u2605",sphericalangle:"\u2222",measuredangle:"\u2221",nexists:"\u2204",complement:"\u2201",mho:"\u2127",eth:["\xf0",{mathvariant:i.TexConstant.Variant.NORMAL}],Finv:"\u2132",diagup:"\u2571",Game:"\u2141",diagdown:"\u2572",Bbbk:["k",{mathvariant:i.TexConstant.Variant.DOUBLESTRUCK}],yen:"\xa5",circledR:"\xae",checkmark:"\u2713",maltese:"\u2720"}),new o.CharacterMap("AMSsymbols-mathchar0mo",a.default.mathchar0mo,{dotplus:"\u2214",ltimes:"\u22c9",smallsetminus:["\u2216",{variantForm:!0}],rtimes:"\u22ca",Cap:"\u22d2",doublecap:"\u22d2",leftthreetimes:"\u22cb",Cup:"\u22d3",doublecup:"\u22d3",rightthreetimes:"\u22cc",barwedge:"\u22bc",curlywedge:"\u22cf",veebar:"\u22bb",curlyvee:"\u22ce",doublebarwedge:"\u2a5e",boxminus:"\u229f",circleddash:"\u229d",boxtimes:"\u22a0",circledast:"\u229b",boxdot:"\u22a1",circledcirc:"\u229a",boxplus:"\u229e",centerdot:["\u22c5",{variantForm:!0}],divideontimes:"\u22c7",intercal:"\u22ba",leqq:"\u2266",geqq:"\u2267",leqslant:"\u2a7d",geqslant:"\u2a7e",eqslantless:"\u2a95",eqslantgtr:"\u2a96",lesssim:"\u2272",gtrsim:"\u2273",lessapprox:"\u2a85",gtrapprox:"\u2a86",approxeq:"\u224a",lessdot:"\u22d6",gtrdot:"\u22d7",lll:"\u22d8",llless:"\u22d8",ggg:"\u22d9",gggtr:"\u22d9",lessgtr:"\u2276",gtrless:"\u2277",lesseqgtr:"\u22da",gtreqless:"\u22db",lesseqqgtr:"\u2a8b",gtreqqless:"\u2a8c",doteqdot:"\u2251",Doteq:"\u2251",eqcirc:"\u2256",risingdotseq:"\u2253",circeq:"\u2257",fallingdotseq:"\u2252",triangleq:"\u225c",backsim:"\u223d",thicksim:["\u223c",{variantForm:!0}],backsimeq:"\u22cd",thickapprox:["\u2248",{variantForm:!0}],subseteqq:"\u2ac5",supseteqq:"\u2ac6",Subset:"\u22d0",Supset:"\u22d1",sqsubset:"\u228f",sqsupset:"\u2290",preccurlyeq:"\u227c",succcurlyeq:"\u227d",curlyeqprec:"\u22de",curlyeqsucc:"\u22df",precsim:"\u227e",succsim:"\u227f",precapprox:"\u2ab7",succapprox:"\u2ab8",vartriangleleft:"\u22b2",lhd:"\u22b2",vartriangleright:"\u22b3",rhd:"\u22b3",trianglelefteq:"\u22b4",unlhd:"\u22b4",trianglerighteq:"\u22b5",unrhd:"\u22b5",vDash:["\u22a8",{variantForm:!0}],Vdash:"\u22a9",Vvdash:"\u22aa",smallsmile:["\u2323",{variantForm:!0}],shortmid:["\u2223",{variantForm:!0}],smallfrown:["\u2322",{variantForm:!0}],shortparallel:["\u2225",{variantForm:!0}],bumpeq:"\u224f",between:"\u226c",Bumpeq:"\u224e",pitchfork:"\u22d4",varpropto:["\u221d",{variantForm:!0}],backepsilon:"\u220d",blacktriangleleft:"\u25c2",blacktriangleright:"\u25b8",therefore:"\u2234",because:"\u2235",eqsim:"\u2242",vartriangle:["\u25b3",{variantForm:!0}],Join:"\u22c8",nless:"\u226e",ngtr:"\u226f",nleq:"\u2270",ngeq:"\u2271",nleqslant:["\u2a87",{variantForm:!0}],ngeqslant:["\u2a88",{variantForm:!0}],nleqq:["\u2270",{variantForm:!0}],ngeqq:["\u2271",{variantForm:!0}],lneq:"\u2a87",gneq:"\u2a88",lneqq:"\u2268",gneqq:"\u2269",lvertneqq:["\u2268",{variantForm:!0}],gvertneqq:["\u2269",{variantForm:!0}],lnsim:"\u22e6",gnsim:"\u22e7",lnapprox:"\u2a89",gnapprox:"\u2a8a",nprec:"\u2280",nsucc:"\u2281",npreceq:["\u22e0",{variantForm:!0}],nsucceq:["\u22e1",{variantForm:!0}],precneqq:"\u2ab5",succneqq:"\u2ab6",precnsim:"\u22e8",succnsim:"\u22e9",precnapprox:"\u2ab9",succnapprox:"\u2aba",nsim:"\u2241",ncong:"\u2247",nshortmid:["\u2224",{variantForm:!0}],nshortparallel:["\u2226",{variantForm:!0}],nmid:"\u2224",nparallel:"\u2226",nvdash:"\u22ac",nvDash:"\u22ad",nVdash:"\u22ae",nVDash:"\u22af",ntriangleleft:"\u22ea",ntriangleright:"\u22eb",ntrianglelefteq:"\u22ec",ntrianglerighteq:"\u22ed",nsubseteq:"\u2288",nsupseteq:"\u2289",nsubseteqq:["\u2288",{variantForm:!0}],nsupseteqq:["\u2289",{variantForm:!0}],subsetneq:"\u228a",supsetneq:"\u228b",varsubsetneq:["\u228a",{variantForm:!0}],varsupsetneq:["\u228b",{variantForm:!0}],subsetneqq:"\u2acb",supsetneqq:"\u2acc",varsubsetneqq:["\u2acb",{variantForm:!0}],varsupsetneqq:["\u2acc",{variantForm:!0}],leftleftarrows:"\u21c7",rightrightarrows:"\u21c9",leftrightarrows:"\u21c6",rightleftarrows:"\u21c4",Lleftarrow:"\u21da",Rrightarrow:"\u21db",twoheadleftarrow:"\u219e",twoheadrightarrow:"\u21a0",leftarrowtail:"\u21a2",rightarrowtail:"\u21a3",looparrowleft:"\u21ab",looparrowright:"\u21ac",leftrightharpoons:"\u21cb",rightleftharpoons:["\u21cc",{variantForm:!0}],curvearrowleft:"\u21b6",curvearrowright:"\u21b7",circlearrowleft:"\u21ba",circlearrowright:"\u21bb",Lsh:"\u21b0",Rsh:"\u21b1",upuparrows:"\u21c8",downdownarrows:"\u21ca",upharpoonleft:"\u21bf",upharpoonright:"\u21be",downharpoonleft:"\u21c3",restriction:"\u21be",multimap:"\u22b8",downharpoonright:"\u21c2",leftrightsquigarrow:"\u21ad",rightsquigarrow:"\u21dd",leadsto:"\u21dd",dashrightarrow:"\u21e2",dashleftarrow:"\u21e0",nleftarrow:"\u219a",nrightarrow:"\u219b",nLeftarrow:"\u21cd",nRightarrow:"\u21cf",nleftrightarrow:"\u21ae",nLeftrightarrow:"\u21ce"}),new o.DelimiterMap("AMSsymbols-delimiter",a.default.delimiter,{"\\ulcorner":"\u231c","\\urcorner":"\u231d","\\llcorner":"\u231e","\\lrcorner":"\u231f"}),new o.CommandMap("AMSsymbols-macros",{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]},n.AmsMethods)},4387:function(t,e,r){Object.defineProperty(e,"__esModule",{value:!0}),e.NEW_OPS=e.AmsMethods=void 0;var n=r(1130),o=r(1256),i=r(8317),a=r(8417),s=r(3971),l=r(8803),c=r(7693),u=r(9007);e.AmsMethods={},e.AmsMethods.AmsEqnArray=function(t,e,r,o,i,a,s){var l=t.GetBrackets("\\begin{"+e.getName()+"}"),u=c.default.EqnArray(t,e,r,o,i,a,s);return n.default.setArrayAlign(u,l)},e.AmsMethods.AlignAt=function(t,r,o,i){var a,l,c=r.getName(),u="",p=[];if(i||(l=t.GetBrackets("\\begin{"+c+"}")),(a=t.GetArgument("\\begin{"+c+"}")).match(/[^0-9]/))throw new s.default("PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+c+"}");for(var h=parseInt(a,10);h>0;)u+="rl",p.push("0em 0em"),h--;var 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f.Parser([["contextMenu",c.MJContextMenu.fromJson.bind(c.MJContextMenu)]]);this.menu=e.parse({type:"contextMenu",id:"MathJax_Menu",pool:[this.variable("texHints"),this.variable("semantics"),this.variable("zoom"),this.variable("zscale"),this.variable("renderer",(function(e){return t.setRenderer(e)})),this.variable("alt"),this.variable("cmd"),this.variable("ctrl"),this.variable("shift"),this.variable("scale",(function(e){return t.setScale(e)})),this.variable("explorer",(function(e){return t.setExplorer(e)})),this.a11yVar("highlight"),this.a11yVar("backgroundColor"),this.a11yVar("backgroundOpacity"),this.a11yVar("foregroundColor"),this.a11yVar("foregroundOpacity"),this.a11yVar("speech"),this.a11yVar("subtitles"),this.a11yVar("braille"),this.a11yVar("viewBraille"),this.a11yVar("locale",(function(t){return SRE.setupEngine({locale:t})})),this.a11yVar("speechRules",(function(e){var r=n(e.split("-"),2),o=r[0],i=r[1];t.document.options.sre.domain=o,t.document.options.sre.style=i})),this.a11yVar("magnification"),this.a11yVar("magnify"),this.a11yVar("treeColoring"),this.a11yVar("infoType"),this.a11yVar("infoRole"),this.a11yVar("infoPrefix"),this.variable("autocollapse"),this.variable("collapsible",(function(e){return t.setCollapsible(e)})),this.variable("inTabOrder",(function(e){return t.setTabOrder(e)})),this.variable("assistiveMml",(function(e){return t.setAssistiveMml(e)}))],items:[this.submenu("Show","Show Math As",[this.command("MathMLcode","MathML Code",(function(){return t.mathmlCode.post()})),this.command("Original","Original Form",(function(){return t.originalText.post()})),this.submenu("Annotation","Annotation")]),this.submenu("Copy","Copy to Clipboard",[this.command("MathMLcode","MathML Code",(function(){return t.copyMathML()})),this.command("Original","Original Form",(function(){return 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Rules",this.radioGroup("speechRules",[["chromevox-default","Standard"],["chromevox-alternative","Alternative"]]))]),this.submenu("Highlight","Highlight",[this.submenu("Background","Background",this.radioGroup("backgroundColor",[["Blue"],["Red"],["Green"],["Yellow"],["Cyan"],["Magenta"],["White"],["Black"]])),{type:"slider",variable:"backgroundOpacity",content:" "},this.submenu("Foreground","Foreground",this.radioGroup("foregroundColor",[["Black"],["White"],["Magenta"],["Cyan"],["Yellow"],["Green"],["Red"],["Blue"]])),{type:"slider",variable:"foregroundOpacity",content:" "},this.rule(),this.radioGroup("highlight",[["None"],["Hover"],["Flame"]]),this.rule(),this.checkbox("TreeColoring","Tree Coloring","treeColoring")]),this.submenu("Magnification","Magnification",[this.radioGroup("magnification",[["None"],["Keyboard"],["Mouse"]]),this.rule(),this.radioGroup("magnify",[["200%"],["300%"],["400%"],["500%"]])]),this.submenu("Semantic Info","Semantic Info",[this.checkbox("Type","Type","infoType"),this.checkbox("Role","Role","infoRole"),this.checkbox("Prefix","Prefix","infoPrefix")],!0),this.rule(),this.checkbox("Collapsible","Collapsible Math","collapsible"),this.checkbox("AutoCollapse","Auto Collapse","autocollapse",{disabled:!0}),this.rule(),this.checkbox("InTabOrder","Include in Tab Order","inTabOrder"),this.checkbox("AssistiveMml","Include Hidden MathML","assistiveMml")]),this.submenu("Language","Language"),this.rule(),this.command("About","About MathJax",(function(){return t.about.post()})),this.command("Help","MathJax Help",(function(){return t.help.post()}))]});var r=this.menu;this.about.attachMenu(r),this.help.attachMenu(r),this.originalText.attachMenu(r),this.annotationText.attachMenu(r),this.mathmlCode.attachMenu(r),this.zoomBox.attachMenu(r),this.checkLoadableItems(),this.enableExplorerItems(this.settings.explorer),r.showAnnotation=this.annotationText,r.copyAnnotation=this.copyAnnotation.bind(this),r.annotationTypes=this.options.annotationTypes,y.CssStyles.addInfoStyles(this.document.document),y.CssStyles.addMenuStyles(this.document.document)},t.prototype.checkLoadableItems=function(){var t,e;if(m&&m._&&m.loader&&m.startup)!this.settings.collapsible||m._.a11y&&m._.a11y.complexity||this.loadA11y("complexity"),!this.settings.explorer||m._.a11y&&m._.a11y.explorer||this.loadA11y("explorer"),!this.settings.assistiveMml||m._.a11y&&m._.a11y["assistive-mml"]||this.loadA11y("assistive-mml");else{var r=this.menu;try{for(var n=o(Object.keys(this.jax)),i=n.next();!i.done;i=n.next()){var 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i=o(Object.keys(this.settings)),a=i.next();!a.done;a=i.next()){var s=a.value;this.settings[s]!==this.defaultSettings[s]&&(n[s]=this.settings[s])}}catch(t){e={error:t}}finally{try{a&&!a.done&&(r=i.return)&&r.call(i)}finally{if(e)throw e.error}}try{Object.keys(n).length?localStorage.setItem(t.MENU_STORAGE,JSON.stringify(n)):localStorage.removeItem(t.MENU_STORAGE)}catch(t){console.log("MathJax localStorage error: "+t.message)}},t.prototype.setA11y=function(t){m._.a11y&&m._.a11y.explorer&&m._.a11y.explorer_ts.setA11yOptions(this.document,t)},t.prototype.getA11y=function(t){if(m._.a11y&&m._.a11y.explorer)return void 0!==this.document.options.a11y[t]?this.document.options.a11y[t]:this.document.options.sre[t]},t.prototype.setScale=function(t){this.document.outputJax.options.scale=parseFloat(t),this.document.rerender()},t.prototype.setRenderer=function(t){var e=this;if(this.jax[t])this.setOutputJax(t);else{var r=t.toLowerCase();this.loadComponent("output/"+r,(function(){var n=m.startup;r in 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t=(100*parseFloat(this.settings.scale)).toFixed(1).replace(/.0$/,""),e=prompt("Scale all mathematics (compared to surrounding text) by",t+"%");if(e)if(e.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){var r=parseFloat(e)/100;r?this.setScale(String(r)):alert("The scale should not be zero")}else alert("The scale should be a percentage (e.g., 120%)")},t.prototype.resetDefaults=function(){var e,r;t.loading++;var n=this.menu.pool,i=this.defaultSettings;try{for(var s=o(Object.keys(this.settings)),l=s.next();!l.done;l=s.next()){var c=l.value,u=n.lookup(c);if(u){u.setValue(i[c]);var p=u.items[0];p&&p.executeCallbacks_()}else this.settings[c]=i[c]}}catch(t){e={error:t}}finally{try{l&&!l.done&&(r=s.return)&&r.call(s)}finally{if(e)throw e.error}}t.loading--,this.rerender(a.STATE.COMPILED)},t.prototype.checkComponent=function(e){var r=t.loadingPromises.get(e);r&&i.mathjax.retryAfter(r)},t.prototype.loadComponent=function(e,r){if(!t.loadingPromises.has(e)){var n=m.loader;if(n){t.loading++;var o=n.load(e).then((function(){t.loading--,t.loadingPromises.delete(e),r(),0===t.loading&&t._loadingPromise&&(t._loadingPromise=null,t._loadingOK())})).catch((function(e){t._loadingPromise?(t._loadingPromise=null,t._loadingFailed(e)):console.log(e)}));t.loadingPromises.set(e,o)}}},t.prototype.loadA11y=function(e){var r=this,n=!a.STATE.ENRICHED;this.loadComponent("a11y/"+e,(function(){var o=m.startup;i.mathjax.handlers.unregister(o.handler),o.handler=o.getHandler(),i.mathjax.handlers.register(o.handler);var s=r.document;r.document=o.document=o.getDocument(),r.document.menu=r,r.document.outputJax.reset(),r.transferMathList(s),r.document.processed=s.processed,t._loadingPromise||(r.document.outputJax.reset(),r.rerender("complexity"===e||n?a.STATE.COMPILED:a.STATE.TYPESET))}))},t.prototype.transferMathList=function(t){var e,r,n=this.document.options.MathItem;try{for(var i=o(t.math),a=i.next();!a.done;a=i.next()){var s=a.value,l=new 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e.menu.mathItem=t}),!0),r.addEventListener("keydown",(function(){return e.menu.mathItem=t}),!0),r.addEventListener("click",(function(r){return e.zoom(r,"Click",t)}),!0),r.addEventListener("dblclick",(function(r){return e.zoom(r,"DoubleClick",t)}),!0),this.menu.store.insert(r)},t.prototype.clear=function(){this.menu.store.clear()},t.prototype.variable=function(t,e){var r=this;return{name:t,getter:function(){return r.settings[t]},setter:function(n){r.settings[t]=n,e&&e(n),r.saveUserSettings()}}},t.prototype.a11yVar=function(t,e){var r=this;return{name:t,getter:function(){return r.getA11y(t)},setter:function(n){r.settings[t]=n;var o={};o[t]=n,r.setA11y(o),e&&e(n),r.saveUserSettings()}}},t.prototype.submenu=function(t,e,r,n){var i,a;void 0===r&&(r=[]),void 0===n&&(n=!1);var s=[];try{for(var l=o(r),c=l.next();!c.done;c=l.next()){var u=c.value;Array.isArray(u)?s=s.concat(u):s.push(u)}}catch(t){i={error:t}}finally{try{c&&!c.done&&(a=l.return)&&a.call(l)}finally{if(i)throw 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e=this.html;e.setAttribute("aria-disabled","false"),e.textContent=this.content},e.prototype.activate=function(){this.disabled||this.html.classList.add(l.HtmlClasses.MENUACTIVE)},e.prototype.deactivate=function(){this.html.classList.remove(l.HtmlClasses.MENUACTIVE)},e.prototype.focus=function(){this.menu.focused=this,t.prototype.focus.call(this),this.activate()},e.prototype.unfocus=function(){this.deactivate(),t.prototype.unfocus.call(this)},e.prototype.escape=function(t){s.MenuUtil.close(this)},e.prototype.up=function(t){this.menu.up(t)},e.prototype.down=function(t){this.menu.down(t)},e.prototype.left=function(t){this.menu.left(t)},e.prototype.right=function(t){this.menu.right(t)},e.prototype.space=function(t){this.press()},e.prototype.disable=function(){this.disabled=!0;var t=this.html;t.classList.add(l.HtmlClasses.MENUDISABLED),t.setAttribute("aria-disabled","true")},e.prototype.enable=function(){this.disabled=!1;var t=this.html;t.classList.remove(l.HtmlClasses.MENUDISABLED),t.removeAttribute("aria-disabled")},e.prototype.executeCallbacks_=function(){var t,e;try{for(var r=i(this.callbacks),n=r.next();!n.done;n=r.next()){var o=n.value;try{o(this)}catch(t){s.MenuUtil.error(t,"Callback for menu entry "+this.id+" failed.")}}}catch(e){t={error:e}}finally{try{n&&!n.done&&(e=r.return)&&e.call(r)}finally{if(t)throw t.error}}},e}(a.AbstractEntry);e.AbstractItem=c},1484:function(t,e,r){var n,o=this&&this.__extends||(n=function(t,e){return(n=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var r in e)e.hasOwnProperty(r)&&(t[r]=e[r])})(t,e)},function(t,e){function r(){this.constructor=t}n(t,e),t.prototype=null===e?Object.create(e):(r.prototype=e.prototype,new r)}),i=this&&this.__values||function(t){var e="function"==typeof Symbol&&Symbol.iterator,r=e&&t[e],n=0;if(r)return r.call(t);if(t&&"number"==typeof t.length)return{next:function(){return 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e=this._focused;this._focused=t,e&&e.unfocus()}},enumerable:!1,configurable:!0}),e.prototype.up=function(t){var e=this.items.filter((function(t){return t instanceof s.AbstractItem&&!t.isHidden()}));if(0!==e.length)if(this.focused){var r=e.indexOf(this.focused);-1!==r&&e[r=r?--r:e.length-1].focus()}else e[e.length-1].focus()},e.prototype.down=function(t){var e=this.items.filter((function(t){return t instanceof s.AbstractItem&&!t.isHidden()}));if(0!==e.length)if(this.focused){var r=e.indexOf(this.focused);-1!==r&&e[r=++r===e.length?0:r].focus()}else e[0].focus()},e.prototype.generateHtml=function(){t.prototype.generateHtml.call(this),this.generateMenu()},e.prototype.generateMenu=function(){var t,e,r=this.html;r.classList.add(l.HtmlClasses.MENU);try{for(var n=i(this.items),o=n.next();!o.done;o=n.next()){var a=o.value;if(a.isHidden()){var s=a.html;s.parentNode&&s.parentNode.removeChild(s)}else r.appendChild(a.html)}}catch(e){t={error:e}}finally{try{o&&!o.done&&(e=n.return)&&e.call(n)}finally{if(t)throw t.error}}},e.prototype.post=function(e,r){this.variablePool.update(),t.prototype.post.call(this,e,r)},e.prototype.unpostSubmenus=function(){var t,e,r=this.items.filter((function(t){return t instanceof c.Submenu}));try{for(var n=i(r),o=n.next();!o.done;o=n.next()){var a=o.value;a.submenu.unpost(),a!==this.focused&&a.unfocus()}}catch(e){t={error:e}}finally{try{o&&!o.done&&(e=n.return)&&e.call(n)}finally{if(t)throw t.error}}},e.prototype.unpost=function(){t.prototype.unpost.call(this),this.unpostSubmenus(),this.focused=null},e.prototype.find=function(t){var e,r;try{for(var n=i(this.items),o=n.next();!o.done;o=n.next()){var a=o.value;if("rule"!==a.type){if(a.id===t)return a;if("submenu"===a.type){var s=a.submenu.find(t);if(s)return s}}}}catch(t){e={error:t}}finally{try{o&&!o.done&&(r=n.return)&&r.call(n)}finally{if(e)throw e.error}}return null},e}(a.AbstractPostable);e.AbstractMenu=u},2868:function(t,e,r){Object.defineProperty(e,"__esModule",{value:!0}),e.AbstractNavigatable=void 0;var n=r(3205),o=r(8853),i=function(){function t(){this.bubble=!1}return t.prototype.bubbleKey=function(){this.bubble=!0},t.prototype.keydown=function(t){switch(t.keyCode){case n.KEY.ESCAPE:this.escape(t);break;case n.KEY.RIGHT:this.right(t);break;case n.KEY.LEFT:this.left(t);break;case n.KEY.UP:this.up(t);break;case n.KEY.DOWN:this.down(t);break;case n.KEY.RETURN:case n.KEY.SPACE:this.space(t);break;default:return}this.bubble?this.bubble=!1:this.stop(t)},t.prototype.escape=function(t){},t.prototype.space=function(t){},t.prototype.left=function(t){},t.prototype.right=function(t){},t.prototype.up=function(t){},t.prototype.down=function(t){},t.prototype.stop=function(t){t&&(t.stopPropagation(),t.preventDefault(),t.cancelBubble=!0)},t.prototype.mousedown=function(t){return this.stop(t)},t.prototype.mouseup=function(t){return this.stop(t)},t.prototype.mouseover=function(t){return this.stop(t)},t.prototype.mouseout=function(t){return this.stop(t)},t.prototype.click=function(t){return this.stop(t)},t.prototype.addEvents=function(t){t.addEventListener(o.MOUSE.DOWN,this.mousedown.bind(this)),t.addEventListener(o.MOUSE.UP,this.mouseup.bind(this)),t.addEventListener(o.MOUSE.OVER,this.mouseover.bind(this)),t.addEventListener(o.MOUSE.OUT,this.mouseout.bind(this)),t.addEventListener(o.MOUSE.CLICK,this.click.bind(this)),t.addEventListener("keydown",this.keydown.bind(this)),t.addEventListener("dragstart",this.stop.bind(this)),t.addEventListener(o.MOUSE.SELECTSTART,this.stop.bind(this)),t.addEventListener("contextmenu",this.stop.bind(this)),t.addEventListener(o.MOUSE.DBLCLICK,this.stop.bind(this))},t}();e.AbstractNavigatable=i},8372:function(t,e,r){var n,o=this&&this.__extends||(n=function(t,e){return(n=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var r in 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r(){this.constructor=t}n(t,e),t.prototype=null===e?Object.create(e):(r.prototype=e.prototype,new r)});Object.defineProperty(e,"__esModule",{value:!0}),e.AbstractVariableItem=void 0;var i=function(t){function e(){return null!==t&&t.apply(this,arguments)||this}return o(e,t),e.prototype.generateHtml=function(){t.prototype.generateHtml.call(this);var e=this.html;this.span||this.generateSpan(),e.appendChild(this.span),this.update()},e.prototype.register=function(){this.variable.register(this)},e.prototype.unregister=function(){this.variable.unregister(this)},e.prototype.update=function(){this.updateAria(),this.span&&this.updateSpan()},e}(r(1340).AbstractItem);e.AbstractVariableItem=i},5179:function(t,e,r){var n,o=this&&this.__extends||(n=function(t,e){return(n=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var r in e)e.hasOwnProperty(r)&&(t[r]=e[r])})(t,e)},function(t,e){function r(){this.constructor=t}n(t,e),t.prototype=null===e?Object.create(e):(r.prototype=e.prototype,new r)});Object.defineProperty(e,"__esModule",{value:!0}),e.CloseButton=void 0;var i=r(8372),a=r(2165),s=function(t){function e(e){var r=t.call(this)||this;return r.element=e,r.className=a.HtmlClasses.MENUCLOSE,r.role="button",r}return o(e,t),e.prototype.generateHtml=function(){var t=document.createElement("span");t.classList.add(this.className),t.setAttribute("role",this.role),t.setAttribute("tabindex","0");var e=document.createElement("span");e.textContent="\xd7",t.appendChild(e),this.html=t},e.prototype.display=function(){},e.prototype.unpost=function(){t.prototype.unpost.call(this),this.element.unpost()},e.prototype.keydown=function(e){this.bubbleKey(),t.prototype.keydown.call(this,e)},e.prototype.space=function(t){this.unpost(),this.stop(t)},e.prototype.mousedown=function(t){this.unpost(),this.stop(t)},e}(i.AbstractPostable);e.CloseButton=s},5073:function(t,e,r){var n,o=this&&this.__extends||(n=function(t,e){return(n=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var r in e)e.hasOwnProperty(r)&&(t[r]=e[r])})(t,e)},function(t,e){function r(){this.constructor=t}n(t,e),t.prototype=null===e?Object.create(e):(r.prototype=e.prototype,new r)});Object.defineProperty(e,"__esModule",{value:!0}),e.ContextMenu=void 0;var i=r(1484),a=r(2165),s=r(1932),l=r(2358),c=function(t){function e(e){var r=t.call(this)||this;return r.factory=e,r.id="",r.moving=!1,r._store=new s.MenuStore(r),r.widgets=[],r.variablePool=new l.VariablePool,r}return o(e,t),e.fromJson=function(t,e){var r=e.pool,n=e.items,o=e.id,i=void 0===o?"":o,a=new this(t);a.id=i;var s=t.get("variable");r.forEach((function(e){return s(t,e,a.pool)}));var l=t.get("items")(t,n,a);return a.items=l,a},e.prototype.generateHtml=function(){this.isPosted()&&this.unpost(),t.prototype.generateHtml.call(this),this._frame=document.createElement("div"),this._frame.classList.add(a.HtmlClasses.MENUFRAME);var e="left: 0px; top: 0px; z-index: 200; width: 100%; height: 100%; border: 0px; padding: 0px; margin: 0px;";this._frame.setAttribute("style","position: absolute; "+e);var r=document.createElement("div");r.setAttribute("style","position: fixed; "+e),this._frame.appendChild(r),r.addEventListener("mousedown",function(t){this.unpost(),this.unpostWidgets(),this.stop(t)}.bind(this))},e.prototype.display=function(){document.body.appendChild(this.frame),this.frame.appendChild(this.html),this.focus()},e.prototype.escape=function(t){this.unpost(),this.unpostWidgets()},e.prototype.unpost=function(){if(t.prototype.unpost.call(this),!(this.widgets.length>0)){this.frame.parentNode.removeChild(this.frame);var e=this.store;this.moving||e.insertTaborder(),e.active.focus()}},e.prototype.left=function(t){this.move_(this.store.previous())},e.prototype.right=function(t){this.move_(this.store.next())},Object.defineProperty(e.prototype,"frame",{get:function(){return this._frame},enumerable:!1,configurable:!0}),Object.defineProperty(e.prototype,"store",{get:function(){return this._store},enumerable:!1,configurable:!0}),e.prototype.post=function(e,r){if(void 0!==r)return this.moving||this.store.removeTaborder(),void t.prototype.post.call(this,e,r);var n,o,i,a=e;if(a instanceof Event?(n=a.target,this.stop(a)):n=a,a instanceof MouseEvent&&(o=a.pageX,i=a.pageY,o||i||!a.clientX||(o=a.clientX+document.body.scrollLeft+document.documentElement.scrollLeft,i=a.clientY+document.body.scrollTop+document.documentElement.scrollTop)),!o&&!i&&n){var s=window.pageXOffset||document.documentElement.scrollLeft,l=window.pageYOffset||document.documentElement.scrollTop,c=n.getBoundingClientRect();o=(c.right+c.left)/2+s,i=(c.bottom+c.top)/2+l}this.store.active=n,this.anchor=this.store.active;var u=this.html;o+u.offsetWidth>document.body.offsetWidth-5&&(o=document.body.offsetWidth-u.offsetWidth-5),this.post(o,i)},e.prototype.registerWidget=function(t){this.widgets.push(t)},e.prototype.unregisterWidget=function(t){var e=this.widgets.indexOf(t);e>-1&&this.widgets.splice(e,1),0===this.widgets.length&&this.unpost()},e.prototype.unpostWidgets=function(){this.widgets.forEach((function(t){return t.unpost()}))},e.prototype.toJson=function(){return{type:""}},e.prototype.move_=function(t){this.anchor&&t!==this.anchor&&(this.moving=!0,this.unpost(),this.post(t),this.moving=!1)},e}(i.AbstractMenu);e.ContextMenu=c},7309:function(t,e,r){Object.defineProperty(e,"__esModule",{value:!0}),e.CssStyles=void 0;var n=r(2165);!function(t){function e(t){return"."+(n.HtmlClasses[t]||t)}var r={};r[e("INFOCLOSE")]="{ top:.2em; right:.2em;}",r[e("INFOCONTENT")]="{ overflow:auto; text-align:left; font-size:80%; padding:.4em .6em; border:1px inset; margin:1em 0px; max-height:20em; max-width:30em; background-color:#EEEEEE; white-space:normal;}",r[e("INFO")+e("MOUSEPOST")]="{outline:none;}",r[e("INFO")]='{ position:fixed; left:50%; width:auto; text-align:center; border:3px outset; padding:1em 2em; background-color:#DDDDDD; color:black; cursor:default; font-family:message-box; font-size:120%; font-style:normal; text-indent:0; text-transform:none; line-height:normal; letter-spacing:normal; word-spacing:normal; word-wrap:normal; white-space:nowrap; float:none; z-index:201; border-radius: 15px; /* Opera 10.5 and IE9 */ -webkit-border-radius:15px; /* Safari and Chrome */ -moz-border-radius:15px; /* Firefox */ -khtml-border-radius:15px; /* Konqueror */ box-shadow:0px 10px 20px #808080; /* Opera 10.5 and IE9 */ -webkit-box-shadow:0px 10px 20px #808080; /* Safari 3 & Chrome */ -moz-box-shadow:0px 10px 20px #808080; /* Forefox 3.5 */ -khtml-box-shadow:0px 10px 20px #808080; /* Konqueror */ filter:progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color="gray", Positive="true"); /* IE */}';var o={};o[e("MENU")]="{ position:absolute; background-color:white; color:black; width:auto; padding:5px 0px; border:1px solid #CCCCCC; margin:0; cursor:default; font: menu; text-align:left; text-indent:0; text-transform:none; line-height:normal; letter-spacing:normal; word-spacing:normal; word-wrap:normal; white-space:nowrap; float:none; z-index:201; border-radius: 5px; /* Opera 10.5 and IE9 */ -webkit-border-radius: 5px; /* Safari and Chrome */ -moz-border-radius: 5px; /* Firefox */ -khtml-border-radius: 5px; /* Konqueror */ box-shadow:0px 10px 20px #808080; /* Opera 10.5 and IE9 */ -webkit-box-shadow:0px 10px 20px #808080; /* Safari 3 & Chrome */ -moz-box-shadow:0px 10px 20px #808080; /* Forefox 3.5 */ -khtml-box-shadow:0px 10px 20px #808080; /* Konqueror */}",o[e("MENUITEM")]="{ padding: 1px 2em; background:transparent;}",o[e("MENUARROW")]="{ position:absolute; right:.5em; padding-top:.25em; color:#666666; font-family: null; font-size: .75em}",o[e("MENUACTIVE")+" "+e("MENUARROW")]="{color:white}",o[e("MENUARROW")+e("RTL")]="{left:.5em; right:auto}",o[e("MENUCHECK")]="{ position:absolute; left:.7em; font-family: null}",o[e("MENUCHECK")+e("RTL")]="{ right:.7em; left:auto }",o[e("MENURADIOCHECK")]="{ position:absolute; left: .7em;}",o[e("MENURADIOCHECK")+e("RTL")]="{ right: .7em; left:auto}",o[e("MENUINPUTBOX")]="{ padding-left: 1em; right:.5em; color:#666666; font-family: null;}",o[e("MENUINPUTBOX")+e("RTL")]="{ left: .1em;}",o[e("MENUCOMBOBOX")]="{ left:.1em; padding-bottom:.5em;}",o[e("MENUSLIDER")]="{ left: .1em;}",o[e("SLIDERVALUE")]="{ position:absolute; right:.1em; padding-top:.25em; color:#333333; font-size: .75em}",o[e("SLIDERBAR")]="{ outline: none; background: #d3d3d3}",o[e("MENULABEL")]="{ padding: 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border:2px solid #AAA; border-radius:18px; -webkit-border-radius: 18px; /* Safari and Chrome */ -moz-border-radius: 18px; /* Firefox */ -khtml-border-radius: 18px; /* Konqueror */ font-family: "Courier New", Courier; font-size:24px; color:#F0F0F0}',i[e("MENUCLOSE")+" span"]="{ display:block; background-color:#AAA; border:1.5px solid; border-radius:18px; -webkit-border-radius: 18px; /* Safari and Chrome */ -moz-border-radius: 18px; /* Firefox */ -khtml-border-radius: 18px; /* Konqueror */ line-height:0; padding:8px 0 6px /* may need to be browser-specific */}",i[e("MENUCLOSE")+":hover"]="{ color:white!important; border:2px solid #CCC!important}",i[e("MENUCLOSE")+":hover span"]="{ background-color:#CCC!important}",i[e("MENUCLOSE")+":hover:focus"]="{ outline:none}";var a=!1,s=!1,l=!1;function c(t){l||(u(i,t),l=!0)}function u(t,e){var r=e||document,n=r.createElement("style");n.type="text/css";var o="";for(var i in t)o+=i,o+=" ",o+=t[i],o+="\n";n.innerHTML=o,r.head.appendChild(n)}t.addMenuStyles=function(t){s||(u(o,t),s=!0,c(t))},t.addInfoStyles=function(t){a||(u(r,t),a=!0,c(t))}}(e.CssStyles||(e.CssStyles={}))},2165:function(t,e){Object.defineProperty(e,"__esModule",{value:!0}),e.HtmlAttrs=e.HtmlClasses=void 0;function r(t){return"CtxtMenu_"+t}function n(t){return r(t)}function o(t){return r(t)}e.HtmlClasses={ATTACHED:n("Attached"),CONTEXTMENU:n("ContextMenu"),MENU:n("Menu"),MENUARROW:n("MenuArrow"),MENUACTIVE:n("MenuActive"),MENUCHECK:n("MenuCheck"),MENUCLOSE:n("MenuClose"),MENUCOMBOBOX:n("MenuComboBox"),MENUDISABLED:n("MenuDisabled"),MENUFRAME:n("MenuFrame"),MENUITEM:n("MenuItem"),MENULABEL:n("MenuLabel"),MENURADIOCHECK:n("MenuRadioCheck"),MENUINPUTBOX:n("MenuInputBox"),MENURULE:n("MenuRule"),MENUSLIDER:n("MenuSlider"),MOUSEPOST:n("MousePost"),RTL:n("RTL"),INFO:n("Info"),INFOCLOSE:n("InfoClose"),INFOCONTENT:n("InfoContent"),INFOSIGNATURE:n("InfoSignature"),INFOTITLE:n("InfoTitle"),SLIDERVALUE:n("SliderValue"),SLIDERBAR:n("SliderBar"),SELECTION:n("Selection"),SELECTIONBOX:n("SelectionBox"),SELECTIONMENU:n("SelectionMenu"),SELECTIONDIVIDER:n("SelectionDivider"),SELECTIONITEM:n("SelectionItem")},e.HtmlAttrs={COUNTER:o("Counter"),KEYDOWNFUNC:o("keydownFunc"),CONTEXTMENUFUNC:o("contextmenuFunc"),OLDTAB:o("Oldtabindex"),TOUCHFUNC:o("TouchFunc")}},4922:function(t,e,r){var n,o=this&&this.__extends||(n=function(t,e){return(n=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var r in e)e.hasOwnProperty(r)&&(t[r]=e[r])})(t,e)},function(t,e){function r(){this.constructor=t}n(t,e),t.prototype=null===e?Object.create(e):(r.prototype=e.prototype,new r)});Object.defineProperty(e,"__esModule",{value:!0}),e.Info=void 0;var i=r(5179),a=r(2165),s=function(t){function e(e,r,n){var o=t.call(this)||this;return o.title=e,o.signature=n,o.className=a.HtmlClasses.INFO,o.role="dialog",o.contentDiv=o.generateContent(),o.close=o.generateClose(),o.content=r||function(){return""},o}return o(e,t),e.prototype.attachMenu=function(t){this.menu=t},e.prototype.generateHtml=function(){t.prototype.generateHtml.call(this);var e=this.html;e.appendChild(this.generateTitle()),e.appendChild(this.contentDiv),e.appendChild(this.generateSignature()),e.appendChild(this.close.html),e.setAttribute("tabindex","0")},e.prototype.post=function(){t.prototype.post.call(this);var e=document.documentElement,r=this.html,n=window.innerHeight||e.clientHeight||e.scrollHeight||0,o=Math.floor(-r.offsetWidth/2),i=Math.floor((n-r.offsetHeight)/3);r.setAttribute("style","margin-left: "+o+"px; top: "+i+"px;"),window.event instanceof MouseEvent&&r.classList.add(a.HtmlClasses.MOUSEPOST),r.focus()},e.prototype.display=function(){this.menu.registerWidget(this),this.contentDiv.innerHTML=this.content();var t=this.menu.html;t.parentNode&&t.parentNode.removeChild(t),this.menu.frame.appendChild(this.html)},e.prototype.click=function(t){},e.prototype.keydown=function(e){this.bubbleKey(),t.prototype.keydown.call(this,e)},e.prototype.escape=function(t){this.unpost()},e.prototype.unpost=function(){t.prototype.unpost.call(this),this.html.classList.remove(a.HtmlClasses.MOUSEPOST),this.menu.unregisterWidget(this)},e.prototype.generateClose=function(){var t=new i.CloseButton(this),e=t.html;return e.classList.add(a.HtmlClasses.INFOCLOSE),e.setAttribute("aria-label","Close Dialog Box"),t},e.prototype.generateTitle=function(){var t=document.createElement("span");return t.innerHTML=this.title,t.classList.add(a.HtmlClasses.INFOTITLE),t},e.prototype.generateContent=function(){var t=document.createElement("div");return t.classList.add(a.HtmlClasses.INFOCONTENT),t.setAttribute("tabindex","0"),t},e.prototype.generateSignature=function(){var t=document.createElement("span");return t.innerHTML=this.signature,t.classList.add(a.HtmlClasses.INFOSIGNATURE),t},e.prototype.toJson=function(){return{type:""}},e}(r(8372).AbstractPostable);e.Info=s},1409:function(t,e,r){var n,o=this&&this.__extends||(n=function(t,e){return(n=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var r in e)e.hasOwnProperty(r)&&(t[r]=e[r])})(t,e)},function(t,e){function r(){this.constructor=t}n(t,e),t.prototype=null===e?Object.create(e):(r.prototype=e.prototype,new r)});Object.defineProperty(e,"__esModule",{value:!0}),e.Checkbox=void 0;var i=r(6765),a=r(2556),s=r(2165),l=function(t){function e(e,r,n,o){var i=t.call(this,e,"checkbox",r,o)||this;return i.role="menuitemcheckbox",i.variable=e.pool.lookup(n),i.register(),i}return o(e,t),e.fromJson=function(t,e,r){return new this(r,e.content,e.variable,e.id)},e.prototype.executeAction=function(){this.variable.setValue(!this.variable.getValue()),a.MenuUtil.close(this)},e.prototype.generateSpan=function(){this.span=document.createElement("span"),this.span.textContent="\u2713",this.span.classList.add(s.HtmlClasses.MENUCHECK)},e.prototype.updateAria=function(){this.html.setAttribute("aria-checked",this.variable.getValue()?"true":"false")},e.prototype.updateSpan=function(){this.span.style.display=this.variable.getValue()?"":"none"},e.prototype.toJson=function(){return{type:""}},e}(i.AbstractVariableItem);e.Checkbox=l},9886:function(t,e,r){var n,o=this&&this.__extends||(n=function(t,e){return(n=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var r in e)e.hasOwnProperty(r)&&(t[r]=e[r])})(t,e)},function(t,e){function r(){this.constructor=t}n(t,e),t.prototype=null===e?Object.create(e):(r.prototype=e.prototype,new r)});Object.defineProperty(e,"__esModule",{value:!0}),e.Combo=void 0;var i=r(6765),a=r(2556),s=r(2165),l=r(3205),c=function(t){function e(e,r,n,o){var i=t.call(this,e,"combobox",r,o)||this;return i.role="combobox",i.inputEvent=!1,i.variable=e.pool.lookup(n),i.register(),i}return o(e,t),e.fromJson=function(t,e,r){return new this(r,e.content,e.variable,e.id)},e.prototype.executeAction=function(){this.variable.setValue(this.input.value,a.MenuUtil.getActiveElement(this))},e.prototype.space=function(e){t.prototype.space.call(this,e),a.MenuUtil.close(this)},e.prototype.focus=function(){t.prototype.focus.call(this),this.input.focus()},e.prototype.unfocus=function(){t.prototype.unfocus.call(this),this.updateSpan()},e.prototype.generateHtml=function(){t.prototype.generateHtml.call(this),this.html.classList.add(s.HtmlClasses.MENUCOMBOBOX)},e.prototype.generateSpan=function(){this.span=document.createElement("span"),this.span.classList.add(s.HtmlClasses.MENUINPUTBOX),this.input=document.createElement("input"),this.input.addEventListener("keydown",this.inputKey.bind(this)),this.input.setAttribute("size","10em"),this.input.setAttribute("type","text"),this.input.setAttribute("tabindex","-1"),this.span.appendChild(this.input)},e.prototype.inputKey=function(t){this.bubbleKey(),this.inputEvent=!0},e.prototype.keydown=function(e){if(this.inputEvent&&e.keyCode!==l.KEY.ESCAPE&&e.keyCode!==l.KEY.RETURN)return this.inputEvent=!1,void e.stopPropagation();t.prototype.keydown.call(this,e),e.stopPropagation()},e.prototype.updateAria=function(){},e.prototype.updateSpan=function(){var t;try{t=this.variable.getValue(a.MenuUtil.getActiveElement(this))}catch(e){t=""}this.input.value=t},e.prototype.toJson=function(){return{type:""}},e}(i.AbstractVariableItem);e.Combo=c},3467:function(t,e,r){var n,o=this&&this.__extends||(n=function(t,e){return(n=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var r in e)e.hasOwnProperty(r)&&(t[r]=e[r])})(t,e)},function(t,e){function r(){this.constructor=t}n(t,e),t.prototype=null===e?Object.create(e):(r.prototype=e.prototype,new r)});Object.defineProperty(e,"__esModule",{value:!0}),e.Command=void 0;var i=r(1340),a=r(2556),s=function(t){function e(e,r,n,o){var i=t.call(this,e,"command",r,o)||this;return i.command=n,i}return o(e,t),e.fromJson=function(t,e,r){return new this(r,e.content,e.action,e.id)},e.prototype.executeAction=function(){try{this.command(a.MenuUtil.getActiveElement(this))}catch(t){a.MenuUtil.error(t,"Illegal command callback.")}a.MenuUtil.close(this)},e.prototype.toJson=function(){return{type:""}},e}(i.AbstractItem);e.Command=s},2965:function(t,e,r){var n,o=this&&this.__extends||(n=function(t,e){return(n=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var r in e)e.hasOwnProperty(r)&&(t[r]=e[r])})(t,e)},function(t,e){function r(){this.constructor=t}n(t,e),t.prototype=null===e?Object.create(e):(r.prototype=e.prototype,new r)});Object.defineProperty(e,"__esModule",{value:!0}),e.Label=void 0;var i=r(1340),a=r(2165),s=function(t){function e(e,r,n){return t.call(this,e,"label",r,n)||this}return o(e,t),e.fromJson=function(t,e,r){return new this(r,e.content,e.id)},e.prototype.generateHtml=function(){t.prototype.generateHtml.call(this),this.html.classList.add(a.HtmlClasses.MENULABEL)},e.prototype.toJson=function(){return{type:""}},e}(i.AbstractItem);e.Label=s},385:function(t,e,r){var n,o=this&&this.__extends||(n=function(t,e){return(n=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var r in e)e.hasOwnProperty(r)&&(t[r]=e[r])})(t,e)},function(t,e){function r(){this.constructor=t}n(t,e),t.prototype=null===e?Object.create(e):(r.prototype=e.prototype,new r)});Object.defineProperty(e,"__esModule",{value:!0}),e.Radio=void 0;var i=r(6765),a=r(2556),s=r(2165),l=function(t){function e(e,r,n,o){var i=t.call(this,e,"radio",r,o)||this;return i.role="menuitemradio",i.variable=e.pool.lookup(n),i.register(),i}return o(e,t),e.fromJson=function(t,e,r){return new this(r,e.content,e.variable,e.id)},e.prototype.executeAction=function(){this.variable.setValue(this.id),a.MenuUtil.close(this)},e.prototype.generateSpan=function(){this.span=document.createElement("span"),this.span.textContent="\u2713",this.span.classList.add(s.HtmlClasses.MENURADIOCHECK)},e.prototype.updateAria=function(){this.html.setAttribute("aria-checked",this.variable.getValue()===this.id?"true":"false")},e.prototype.updateSpan=function(){this.span.style.display=this.variable.getValue()===this.id?"":"none"},e.prototype.toJson=function(){return{type:""}},e}(i.AbstractVariableItem);e.Radio=l},3463:function(t,e,r){var n,o=this&&this.__extends||(n=function(t,e){return(n=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var r in e)e.hasOwnProperty(r)&&(t[r]=e[r])})(t,e)},function(t,e){function r(){this.constructor=t}n(t,e),t.prototype=null===e?Object.create(e):(r.prototype=e.prototype,new r)});Object.defineProperty(e,"__esModule",{value:!0}),e.Rule=void 0;var i=r(9329),a=r(2165),s=function(t){function e(e){var r=t.call(this,e,"rule")||this;return r.className=a.HtmlClasses.MENUITEM,r.role="separator",r}return o(e,t),e.fromJson=function(t,e,r){return new this(r)},e.prototype.generateHtml=function(){t.prototype.generateHtml.call(this);var e=this.html;e.classList.add(a.HtmlClasses.MENURULE),e.setAttribute("aria-orientation","vertical")},e.prototype.addEvents=function(t){},e.prototype.toJson=function(){return{type:"rule"}},e}(i.AbstractEntry);e.Rule=s},7625:function(t,e,r){var n,o=this&&this.__extends||(n=function(t,e){return(n=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var r in e)e.hasOwnProperty(r)&&(t[r]=e[r])})(t,e)},function(t,e){function r(){this.constructor=t}n(t,e),t.prototype=null===e?Object.create(e):(r.prototype=e.prototype,new r)});Object.defineProperty(e,"__esModule",{value:!0}),e.Slider=void 0;var i=r(6765),a=r(2556),s=r(2165),l=r(3205),c=function(t){function e(e,r,n,o){var i=t.call(this,e,"slider",r,o)||this;return i.role="slider",i.labelId="ctx_slideLabel"+a.MenuUtil.counter(),i.valueId="ctx_slideValue"+a.MenuUtil.counter(),i.inputEvent=!1,i.variable=e.pool.lookup(n),i.register(),i}return o(e,t),e.fromJson=function(t,e,r){return new this(r,e.content,e.variable,e.id)},e.prototype.executeAction=function(){this.variable.setValue(this.input.value,a.MenuUtil.getActiveElement(this)),this.update()},e.prototype.space=function(e){t.prototype.space.call(this,e),a.MenuUtil.close(this)},e.prototype.focus=function(){t.prototype.focus.call(this),this.input.focus()},e.prototype.unfocus=function(){t.prototype.unfocus.call(this),this.updateSpan()},e.prototype.generateHtml=function(){t.prototype.generateHtml.call(this),this.html.classList.add(s.HtmlClasses.MENUSLIDER),this.valueSpan=document.createElement("span"),this.valueSpan.setAttribute("id",this.valueId),this.valueSpan.classList.add(s.HtmlClasses.SLIDERVALUE),this.html.appendChild(this.valueSpan)},e.prototype.generateSpan=function(){this.span=document.createElement("span"),this.labelSpan=document.createElement("span"),this.labelSpan.setAttribute("id",this.labelId),this.labelSpan.appendChild(this.html.childNodes[0]),this.html.appendChild(this.labelSpan),this.input=document.createElement("input"),this.input.setAttribute("type","range"),this.input.setAttribute("min","0"),this.input.setAttribute("max","100"),this.input.setAttribute("aria-valuemin","0"),this.input.setAttribute("aria-valuemax","100"),this.input.setAttribute("aria-labelledby",this.labelId),this.input.addEventListener("keydown",this.inputKey.bind(this)),this.input.addEventListener("input",this.executeAction.bind(this)),this.input.classList.add(s.HtmlClasses.SLIDERBAR),this.span.appendChild(this.input)},e.prototype.inputKey=function(t){this.inputEvent=!0},e.prototype.mousedown=function(t){t.stopPropagation()},e.prototype.mouseup=function(t){event.stopPropagation()},e.prototype.keydown=function(e){var r=e.keyCode;return r===l.KEY.UP||r===l.KEY.DOWN?(e.preventDefault(),void t.prototype.keydown.call(this,e)):this.inputEvent&&r!==l.KEY.ESCAPE&&r!==l.KEY.RETURN?(this.inputEvent=!1,void e.stopPropagation()):(t.prototype.keydown.call(this,e),void e.stopPropagation())},e.prototype.updateAria=function(){var t=this.variable.getValue();t&&this.input&&(this.input.setAttribute("aria-valuenow",t),this.input.setAttribute("aria-valuetext",t+"%"))},e.prototype.updateSpan=function(){var t;try{t=this.variable.getValue(a.MenuUtil.getActiveElement(this)),this.valueSpan.innerHTML=t+"%"}catch(e){t=""}this.input.value=t},e.prototype.toJson=function(){return{type:""}},e}(i.AbstractVariableItem);e.Slider=c},6186:function(t,e,r){var n,o=this&&this.__extends||(n=function(t,e){return(n=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var r in e)e.hasOwnProperty(r)&&(t[r]=e[r])})(t,e)},function(t,e){function 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    基于深度学习的城市港口水体BOD5稀疏矩阵软检测

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    Soft detection of 5-day BOD with sparse matrix in city harbor water using deep learning techniques

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    概要

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    ​ 对于像纽约这样的沿海城市,如何更好地控制和管理港口水质是一项重要的任务。为了实现这样的需求,管理者们和政府需要追踪关键的水质指标,例如温度、pH值和溶解氧。在这些指标当中,五日生化需氧量BOD5BOD_5是一个需要花费许多时间与精力来检测的重要指标,无论在学术上还是在工程上都造成了很大不便。现有的实验和统计方法无法有效解决检测时间问题且提供的精度有限。 此外,由于各种人为操作失误与设备误差,用于BODBOD检测和预测的数据包含许多缺失值,导致矩阵稀疏。很少有研究在开发统计检测方法时解决稀疏矩阵问题。为了解决这些误差,我们提出了一种基于深度学习的模型,该模型结合了深度矩阵分解DMFDMF和深度神经网络DNNDNN。该模型能够更加智能地解决稀疏矩阵问题,更准确地预测BODBOD值。为了测试其有效性,我们依据32323个水样对纽约市港口水域进行了案例研究。结果表明,该方法比传统矩阵补全方法降低了11.54%-17.23%的RMSERMSE,比传统的机器学习算法降低了19.20%-25.16%的RMSERMSE

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    注:

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    RMSE(Root mean squared error): 剩余标准差SES_E,也称均方差,统计学概念,在线性回归分析中,真实值和估计值之间的差称为残差(或者剩余量),所有预测值的残差平方和(或者剩余平方和),剩余标准差就是剩余平方和的开平方。用来表示估计值的精度。)

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    1.介绍

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    1.1.背景

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    ​ 港口水由自然或人为屏障形成,是最为重要的地表水组成之一,对于纽约、旧金山、香港和上海等城市,港口流入了大部分城市雨水和城市污水,然而在某些情况下,这些污水很少能得到处理,以至于在城市港口造成各种水污染。细菌、过量的营养物质、有毒化学物质和其他污染物会影响周边人群的健康,也危机海洋生物。为了减少其对环境的严重影响,城市管理者投入了大量精力控制和改善港口水质。例如,纽约市在过去十年投入了超过120亿美元升级城市下水道系统,减少港口水的环境影响。旧金山从2008年起已向旧金山港口水质改善基金会拨款超过5000多万美元。香港推出了不同类型的总体规划,包括保护港口用水的污染者罚款政策。

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    为了更好地控制和管理港口水质,对关键的质量指标进行追踪是很重要的,例如温度、溶解氧、pH、营养素和金属。这些水质指标中许多可以通过现代传感器进行实时监测,然而,有一个关键指标不仅体现了水质的关键信息,而且需要花费大量时间和精力进行检测:生化需氧量(BOD)指标。这个指标的定义是:需氧生物在特定温度(通常为20℃)下,在特定时间段内(通常为5天,标记为BOD5BOD_5)内分解水中有机物所需要的溶解氧量。如果BOD含量过高,水中溶解氧可能被耗尽,导致需氧生物难以生存。因此,监测水质时,测量BOD5BOD_5含量是十分重要的。

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    ​ 尽管BOD5BOD_5是一项十分有价值的指标,但是其测量时间会造成很大的限制。根据标准,BOD样品的保存时间为采集后的48小时,测试本身需要5天的潜伏期,这种时间约束导致了管理和研究的各种弊端,该问题引起了人们的广泛关注。

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    1.2 文献综述

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    + + - - - - - - + + + + + + + + + + + + + - - - - - - - - - - - - - - - - - + + + + + \ No newline at end of file diff --git a/search.json b/search.json deleted file mode 100644 index 03adffe..0000000 --- a/search.json +++ /dev/null @@ -1 +0,0 @@ -[{"title":"二进制相关","url":"/binary/","content":"计算机以二进制表示数据,以表示电路中的正反。在二进制下,一个位只有0和1。逢二进一位。\n计算机中存储数据,以字节为单位,一个字节有8个位,即可以表示-128~127范围的数字。\n 基础运算\n\n与\n\n用符号&表示,运算规律是:真真为真,真假为假,假假为假(一假即假)\n1&1 //1\n1&0 //0\n0&0 //0\n\n或\n\n用符号|表示,运算规律是:真真为真,真假为真,假假为假(一真即真)\n1|1 //1\n1|0 //1\n0|0 //0\n\n非\n\n运算符为~,取反的逻辑,运算规律:二进制位若为1,取反后为0。若为0,取反后为1\n~1 //11111110\n\n左移\n\n将二进制数向左移位操作,高位溢出则丢弃,低位补0\na=11;\na<<1;\n移位前:0000 1011\n移位后:0001 0110(十进制值为22)\n对一个数左移1位就是乘以2,左移n位就是乘以2的n次方(而左移运算比乘法快得多)\n\n右移\n\n右移位运算中,无符号数和有符号数的运算并不相同。对于无符号数,右移之后高位补0;对于有符号数,符号位一起移动,正数高位补0,负数高位补1\n无符号数\na=16;\na>>3;\n移位前:0001 0000\n移位后:0000 0010(十进制值为2)\n有符号数(正数)\nb=32;\na>>3;\n移位前:0010 0000\n移位后:0000 0100(十进制值位4)\n有符号数(负数)\nb=-32;\nb>>3;\n移位前:1010 0000\n移位后:1000 0100(十进制值为-4)\nc=25;\nc>>4;\n移位前:0001 1001\n移位后:0000 0001(十进制值为1)\n实际上,我们发现。右移n位就是除以2的n次方,当得到的商不是整数时会往小取整\n 正数、负数的表示\n对于负数的表示,比较特殊,其有一条运算规律:对非负数的二进制进行取反、然后+1,便可得其负数的二进制表示,以3为例子:\n00000011//3的二进制\n//~00000011 对3进行取反,得到结果\n11111100\n//对结果进行+1\n11111101//-3在计算机中的最终表示\n最终得出在一个字节下,11111101表示-3\n","categories":["计算机基础"],"tags":[]},{"title":"由数据范围反推时间复杂度及算法","url":"/algorithm-skills/","content":"一般竞赛时间限制在1s或2s,所以时间复杂度尽量控制在107−10810^7 - 10^8107−108\n下面给出在不同数据范围下,代码的时间复杂度和算法如何选择:\n\nn≤30n \\le 30n≤30,dfs+剪枝、状态压缩dp\nn≤100n \\le 100n≤100,O(n3)O(n^3)O(n3),Floyd、dp、高斯消元\nn≤1000n \\le 1000n≤1000,O(n2)O(n^2)O(n2),dp、二分、朴素Dijsktra、朴素Prim、Bellman-Ford\nn≤10000n \\le 10000n≤10000,O(nn)O(n \\sqrt n)O(nn​),块状链表、分块、莫队\nn≤105n \\le 10^5n≤105,O(nlogn)O(nlogn)O(nlogn),sort、线段树、树状数组、set/map、heap、拓扑排序、堆优化Dijkstra、堆优化Prim、Kruskal、spfa、二分、CDQ分治、整体二分、后缀数组\nn≤106n \\le 10^6n≤106,O(n)O(n)O(n),单调队列、hash、双指针、BFS、并查集、kmp、AC自动机;常数比较小的O(nlogn)O(nlogn)O(nlogn),sort、树状数组、heap、dijkstra、prim\nn≤107n \\le 10^7n≤107,O(n)O(n)O(n),双指针扫描、Kmp、AC自动机、线性筛素数\nn≤109n \\le 10^9n≤109,O(n)O(\\sqrt n)O(n​),判断质数\nn≤1018n \\le 10^{18}n≤1018,O(nlogn)O(nlogn)O(nlogn),最大公约数、快速幂、数位dp\nn≤101000n \\le 10^{1000}n≤101000,O((logn)2)O((logn)^2)O((logn)2),高精度加减乘除\n\n一些常见数据类型的大小\n\nlong long 内的最大阶乘 20!\nint 内的最大阶乘 12!\nint => 2312^{31}231,2∗1092*10^92∗109\nlong long => 2632^{63}263,9∗10189*10^{18}9∗1018\nfloat => 38位\ndouble => 308位\n\nmemset常赋值:-1,0,0x3f,-0x3f\n无穷大:0x3f3f3f3f\n","categories":["算法"],"tags":[]},{"title":"基于深度学习的城市港口水体BOD5稀疏矩阵软检测","url":"/paper-deep-learning-detect-BOD5/","content":"Soft detection of 5-day BOD with sparse matrix in city harbor water using deep learning techniques\n 概要\n​\t对于像纽约这样的沿海城市,如何更好地控制和管理港口水质是一项重要的任务。为了实现这样的需求,管理者们和政府需要追踪关键的水质指标,例如温度、pH值和溶解氧。在这些指标当中,五日生化需氧量BOD5BOD_5BOD5​是一个需要花费许多时间与精力来检测的重要指标,无论在学术上还是在工程上都造成了很大不便。现有的实验和统计方法无法有效解决检测时间问题且提供的精度有限。 此外,由于各种人为操作失误与设备误差,用于BODBODBOD检测和预测的数据包含许多缺失值,导致矩阵稀疏。很少有研究在开发统计检测方法时解决稀疏矩阵问题。为了解决这些误差,我们提出了一种基于深度学习的模型,该模型结合了深度矩阵分解DMFDMFDMF和深度神经网络DNNDNNDNN。该模型能够更加智能地解决稀疏矩阵问题,更准确地预测BODBODBOD值。为了测试其有效性,我们依据32323个水样对纽约市港口水域进行了案例研究。结果表明,该方法比传统矩阵补全方法降低了11.54%-17.23%的RMSERMSERMSE,比传统的机器学习算法降低了19.20%-25.16%的RMSERMSERMSE。\n注:\nRMSE(Root mean squared error): 剩余标准差SES_ESE​,也称均方差,统计学概念,在线性回归分析中,真实值和估计值之间的差称为残差(或者剩余量),所有预测值的残差平方和(或者剩余平方和),剩余标准差就是剩余平方和的开平方。用来表示估计值的精度。)\n 1.介绍\n 1.1.背景\n​\t港口水由自然或人为屏障形成,是最为重要的地表水组成之一,对于纽约、旧金山、香港和上海等城市,港口流入了大部分城市雨水和城市污水,然而在某些情况下,这些污水很少能得到处理,以至于在城市港口造成各种水污染。细菌、过量的营养物质、有毒化学物质和其他污染物会影响周边人群的健康,也危机海洋生物。为了减少其对环境的严重影响,城市管理者投入了大量精力控制和改善港口水质。例如,纽约市在过去十年投入了超过120亿美元升级城市下水道系统,减少港口水的环境影响。旧金山从2008年起已向旧金山港口水质改善基金会拨款超过5000多万美元。香港推出了不同类型的总体规划,包括保护港口用水的污染者罚款政策。\n为了更好地控制和管理港口水质,对关键的质量指标进行追踪是很重要的,例如温度、溶解氧、pH、营养素和金属。这些水质指标中许多可以通过现代传感器进行实时监测,然而,有一个关键指标不仅体现了水质的关键信息,而且需要花费大量时间和精力进行检测:生化需氧量(BOD)指标。这个指标的定义是:需氧生物在特定温度(通常为20℃)下,在特定时间段内(通常为5天,标记为BOD5BOD_5BOD5​)内分解水中有机物所需要的溶解氧量。如果BOD含量过高,水中溶解氧可能被耗尽,导致需氧生物难以生存。因此,监测水质时,测量BOD5BOD_5BOD5​含量是十分重要的。\n​\t尽管BOD5BOD_5BOD5​是一项十分有价值的指标,但是其测量时间会造成很大的限制。根据标准,BOD样品的保存时间为采集后的48小时,测试本身需要5天的潜伏期,这种时间约束导致了管理和研究的各种弊端,该问题引起了人们的广泛关注。\n 1.2 文献综述\n","categories":["论文"],"tags":[]},{"title":"贪心算法","url":"/algorithm-greedy/","content":"区间选点\n将每个区间按照右端点从小到大排序,设ed为上一个点的右端点\n遍历区间的左端点,如果左端点小于等于ed,则遍历下一个区间\n否则ed为当前区间的右端点,答案加一\n最大不相交区间数\n将每个区间按照右端点从小到大排序,设ed为上一个点的右端点\n遍历区间的左端点,如果左端点小于ed,则遍历下一个区间\n否则ed为当前区间的右端点,答案加一\n区间分组\n将区间按照左端点进行从小到大排序\n遍历每个区间,判断能否将其放在某个现有的组中(判断l[i]<maxrl[i]<max_rl[i]<maxr​是否成立)\n如果不存在这样的组,则开一个新祖,将其放进去\n如果存在这样的组,将其放进去,更新当前组的maxrmax_rmaxr​\n区间覆盖\n先将所有区间按左端点排序,枚举每个区间,第一次选择能覆盖s点的区间中右端点最大的区间,将s更新为右端点的最大值。\n合并果子\n选择值最小的两堆果子进行合并即可,可以用优先队列求解(记得把两者之和加回队列)\n排队打水\n\n有 n 个人在一个水龙头前排队接水,假如每个人接水的时间为TiT_iTi​,请编程找出这 n 个人排队的一种顺序,使得 n 个人的平均等待时间最小。\n\nT=t1∗(n−1)+t2∗(n−2)+...+tn−2∗2+tn−1∗1T=t_1*(n-1)+t_2*(n-2)+...+t_{n-2}*2+t_{n-1}*1T=t1​∗(n−1)+t2​∗(n−2)+...+tn−2​∗2+tn−1​∗1\n所以尽可能将小的t放在前面与较大的系数相乘,即按照从小到大排队,总时间最小。\n货仓地址\n奶牛耍杂技\nAcwing中修改题干为:求最大压扁值的可能最小值,不影响求解思路及结果\n按照wi+siw_i+s_iwi​+si​排序,依次遍历求出压扁值的最大值,输出答案即可。\n","categories":["算法"],"tags":[]},{"title":"dp问题合集","url":"/algorithm-dp/","content":" 动态规划\n\n状态表示f[i,j]f[i,j]f[i,j]\n\n集合\n属性(Max,Min,Cnt)\n\n\n状态计算\n\n集合的划分\n\n\n\n 线性DP\n数字三角形\nO(n2)O(n^2)O(n2)\nf[i,j]f[i,j]f[i,j]表示到坐标为[i,j][i,j][i,j]的路径的和最大值\nf[1][1]=a[1][1]f[1][1] = a[1][1]f[1][1]=a[1][1]\nf[i][j]=max(f[i−1][j−1]+a[i][j],f[i−1][j]+a[i][j])f[i][j] = max(f[i-1][j-1]+a[i][j], f[i-1][j]+a[i][j])f[i][j]=max(f[i−1][j−1]+a[i][j],f[i−1][j]+a[i][j])\n最长上升子序列\n朴素:O(n2)O(n^2)O(n2)\nf[i]f[i]f[i]表示以第iii个数结尾的序列中上升子序列长度的最大值\n遍历aia_iai​所有可能的前一个数aja_jaj​(aj<aia_j<a_iaj​<ai​且0≤j≤i−10 \\le j \\le i-10≤j≤i−1)\nf[i]=max(f[j]+1,f[i]),j∈[0,i−1]f[i] = max(f[j]+1,f[i]),j \\in [0,i-1]f[i]=max(f[j]+1,f[i]),j∈[0,i−1]\n如果要保存最长序列:g[i]g[i]g[i]保存从哪一步jjj转移过来\n代码:https://www.luogu.com.cn/record/124595657\n优化:O(nlogn)O(nlogn)O(nlogn)\n用一个q数组储存长度为i的序列的结尾数字的最小值\n可以证明qi>qi−1>...>q2>q1q_i>q_{i-1}>...>q_2>q_1qi​>qi−1​>...>q2​>q1​,即数组严格单调递增\n对于aia_iai​,二分找到最大的qk<=aiq_k<=a_iqk​<=ai​,f[i]=k+1f[i] = k+1f[i]=k+1,更新qk=aiq_k = a_iqk​=ai​\n代码:https://www.luogu.com.cn/record/133704642\n最长公共子序列\n朴素:O(n2)O(n^2)O(n2)\nf[i][j]f[i][j]f[i][j]表示所有在第一个序列的前i个字母中出现,且在第二个序列的前j个字母中出现的子序列的最大值\n集合划分依据:是否选择a[i],b[j]a[i],b[j]a[i],b[j]\n分为四个集合:选择a[i],b[j]a[i],b[j]a[i],b[j] ; 选择a[i]a[i]a[i] 不选择b[j]b[j]b[j] ; 不选择a[j]a[j]a[j]选择b[j]b[j]b[j] ; 都不选择a[i],b[j]a[i],b[j]a[i],b[j]\n分别表示为 f[i−1][j−1],f[i,j−1],f[i−1][j],f[i−1][j−1]+1f[i-1][j-1] , f[i,j-1] , f[i-1][j] , f[i-1][j-1]+1f[i−1][j−1],f[i,j−1],f[i−1][j],f[i−1][j−1]+1\n其中第二三种情况包含上面对应的集合(由于是求Max,所以有重复不影响结果)\n且第二三种集合也包含第一个集合,所以只要对后三种集合求最大值即可\nf[i,j]=max(f[i−1,j],f[i,j−1])f[i,j] = max(f[i-1,j],f[i,j-1])f[i,j]=max(f[i−1,j],f[i,j−1])\n当a[i]==b[j]a[i]==b[j]a[i]==b[j]时,f[i,j]=max(f[i,j],f[i−1,j−1]+1)f[i,j] = max(f[i,j],f[i-1,j-1]+1)f[i,j]=max(f[i,j],f[i−1,j−1]+1)\n优化:O(nlogn)O(nlogn)O(nlogn)\n编辑距离\nf[i,j]f[i,j]f[i,j]所有将a[1−i]a[1-i]a[1−i]变成b[1−j]b[1-j]b[1−j]的操作方式的最小步数\n区间划分,①删除最后一个数、②增加最后一个数、③修改最后一个数\n① f[i−1,j]+1f[i-1,j]+1f[i−1,j]+1\n②f[i,j−1]+1f[i,j-1]+1f[i,j−1]+1\n③f[i−1,j−1]+1f[i-1,j-1]+1f[i−1,j−1]+1 (如果a[i]==b[j]a[i]==b[j]a[i]==b[j]则不需要加一,即不需要进行修改操作)\n 区间DP\n石子合并\nf[i,j]f[i,j]f[i,j]表示将第iii堆石子到第jjj堆石子合并成一堆石子的方式的代价最小值/最大值\nO(n3)O(n^3)O(n3)\nfor(int len=2;len<=n;len++){\n for(int i=1;i+len-1<=n;i++){\n int l = i,r = i+len-1;\n f_max[l][r] = -1e8,f_min[l][r] = 1e8;\n for(int k=l;k<r;k++){\n f_max[l][r] = max(f_max[l][r],f_max[l][k]+f_max[k+1][r]+s[r]-s[l-1]);\n f_min[l][r] = min(f_min[l][r],f_min[l][k]+f_min[k+1][r]+s[r]-s[l-1]);\n }\n }\n}\n 计数类DP\n 数位统计DP\n计数问题\n设n=abcdefgn=abcdefgn=abcdefg,枚举第iii位是 x∈[0,9]x \\in [0,9]x∈[0,9]\n举例x=1,i=4x=1,i=4x=1,i=4的情况:\n设数字为xxx1yyyxxx1yyyxxx1yyy\n\n当abc>xxx,xxx∈[000,abc−1],y∈[000,999]abc>xxx,xxx \\in [000,abc-1], y \\in [000,999]abc>xxx,xxx∈[000,abc−1],y∈[000,999],则共有abc∗1000abc * 1000abc∗1000个\n当abc<xxxabc<xxxabc<xxx,则共有0个\n当abc=xxxabc=xxxabc=xxx\n\n当d<1d<1d<1,无解\n当d=1d=1d=1,yyy∈[000,efg]yyy \\in [000,efg]yyy∈[000,efg],则有efg+1efg+1efg+1种\n当d>1d>1d>1,yyy∈[000,999]yyy \\in [000,999]yyy∈[000,999],有1000种\n\n\n\n当x=0时,注意前导0,即对于第一种情况,xxx∈[001,abc−1]xxx \\in [001,abc-1]xxx∈[001,abc−1],即有(abc−1)∗1000(abc-1)*1000(abc−1)∗1000情况\n圆形数字\n 状态压缩DP\n蒙德里安的梦想\nf[i][j]f[i][j]f[i][j]表示第i列,上一列横着摆的数量j,其中j是一个二进制数。\n最短Hamilton路径\nf[i][j]f[i][j]f[i][j]表示从0号点走到j号点,走过的所有点是i的所有路径(二进制数i表示某个点是否已经走过了)的最小路径长度\n 树形DP\n没有上司的舞会\nf[u][0]f[u][0]f[u][0]表示所有以u为根的子树中选择,并且不选u这个点的方案的最大值\nf[u][1]f[u][1]f[u][1]表示所有以u为根的子树中选择,并且选u这个点的方案的最大值\n设点u的子节点s1,s2,s3....sis_1,s_2,s_3....s_is1​,s2​,s3​....si​\nf[u][0]=∑1imax(f[si][0],f[si][1])f[u][0] = \\sum_{1}^{i}max(f[s_i][0],f[s_i][1])f[u][0]=∑1i​max(f[si​][0],f[si​][1])\nf[u][1]=∑1if[si][0]f[u][1] = \\sum_{1}^{i}f[s_i][0]f[u][1]=∑1i​f[si​][0]\n找出根节点,递归求最大值即可\n 记忆化搜索\n滑雪\n用s[i][j]s[i][j]s[i][j]表示从(i,j)点出发能走的最长距离。\n每次搜索一次记忆一次即可。\n举例\n3 3 \n1 1 3\n2 3 4\n1 1 1\n先去找(1,1)的最长距离,很明显为1\n接着找(1,2)的最长距离,很明显为1\n接着找(1,3)的最长距离,为2((1,3)->(1,2))\n然后找(2,1)的最长距离,为2((2,1)->(1,1))\n然后是(2,2)的最长距离,如果没有记忆化,那么搜索过程为:(2,2)->(2,1)->(1,1)\n但是(2,1)之前已经搜过了,再去搜就是浪费时间,之前搜索已经知道(2,1)的值为2,那么搜索过程就是缩短为:(2,2)->(2,1),即为3\n 杂题\n【动态规划1】动态规划的引入\nkkksc03考前临时抱佛脚\n【NOIP1999】挖地雷\ndp+递归倒序输出,当然这题使用爆搜也可以过\n最大字段和\nf[i]f[i]f[i]表示iii所在的有效序列的最大字段和\n如果f[i−1]+a[i]f[i-1]+a[i]f[i−1]+a[i]更大,则加入到前一个有效序列\n否则a[i]a[i]a[i]自己为一个有效序列\n五倍经验日\n01背包的变形\n","categories":["算法"],"tags":[]},{"title":"背包问题算法","url":"/algorithm-knapsack-problem/","content":" 动态规划\n\n状态表示f[i,j]f[i,j]f[i,j]\n\n集合\n属性(Max,Min,Cnt)\n\n\n状态计算\n\n集合的划分\n\n\n\n 背包问题\n给定nnn个物品和容量vvv的背包,每个物品都有体积viv_ivi​和价值wiw_iwi​,求当∑i=1nvi≤v\\sum_{i=1}^{n} v_i \\le v∑i=1n​vi​≤v时最大的www是多少\n 01背包问题\n每个物品只能用0/1次\nf[i,j]=max(f[i−1,j],f[i−1,j−vi]+wi)f[i,j] = max(f[i-1,j],f[i-1,j-v_i]+w_i)f[i,j]=max(f[i−1,j],f[i−1,j−vi​]+wi​)\n01背包问题\n采药\n 完全背包问题\n物品可以无限次使用\nf[i,j]=Max(f[i−1,j−vi×k]+w[i]×k)f[i,j] = Max(f[i-1,j-v_i \\times k]+w[i] \\times k)f[i,j]=Max(f[i−1,j−vi​×k]+w[i]×k)\nk⊆[0,jvi]k \\subseteq [0,\\frac{j}{v_i}]k⊆[0,vi​j​]\n即f[i,j]=Max(f[i−1,j],f[i−1,j−vi]+wi,f[i−1,j−2vi]+2wi,....,f[i−1][j−kvi]+kwi)f[i,j] = Max(f[i-1,j],f[i-1,j-v_i]+w_i,f[i-1,j-2v_i]+2w_i,....,f[i-1][j-kv_i]+kw_i)f[i,j]=Max(f[i−1,j],f[i−1,j−vi​]+wi​,f[i−1,j−2vi​]+2wi​,....,f[i−1][j−kvi​]+kwi​)\nf[i,j−vi]=Max(f[i−1][j−vi],f[i−1][j−2vi]+wi,...,f[i−1][j−kvi]+(k−1)wi)f[i,j-v_i] = Max(f[i-1][j-v_i],f[i-1][j-2v_i]+w_i,...,f[i-1][j-kv_i]+(k-1)w_i)f[i,j−vi​]=Max(f[i−1][j−vi​],f[i−1][j−2vi​]+wi​,...,f[i−1][j−kvi​]+(k−1)wi​)\nf[i][j]f[i][j]f[i][j]的后kkk项等于f[i][j−vi]+wif[i][j-v_i]+w_if[i][j−vi​]+wi​\n得\nf[i,j]=Max(f[i−1,j],f[i,j−vi]+wi)f[i,j] = Max(f[i-1,j],f[i,j-v_i]+w_i)f[i,j]=Max(f[i−1,j],f[i,j−vi​]+wi​)\n完全背包问题\n 多重背包物品\n每个物品的个数不一致\n朴素做法\nf[i,j]=Max(f[i−1,j],f[i−1,j−vi]+wi,f[i−1,j−2vi]+2wi,....,f[i−1][j−kvi]+kwi)f[i,j] = Max(f[i-1,j],f[i-1,j-v_i]+w_i,f[i-1,j-2v_i]+2w_i,....,f[i-1][j-kv_i]+kw_i)f[i,j]=Max(f[i−1,j],f[i−1,j−vi​]+wi​,f[i−1,j−2vi​]+2wi​,....,f[i−1][j−kvi​]+kwi​)\nk⊆[0,si]k \\subseteq [0,s_i]k⊆[0,si​]\n三重循环即可\n多重背包问题1\n优化:二进制优化\nfor(int i=1;i<=n;i++){\n int a,b,s;\n cin>>a>>b>>s;\n //v w s;\n int k = 1;\n while(k<=s){\n cnt++;\n v[cnt] = a*k;\n w[cnt] = b*k;\n s-=k;\n k*=2;\n }\n if(s>0){\n cnt++;\n v[cnt] = a*s;\n w[cnt] = b*s;\n }\n}\n对物品进行二进制分组,组数为cntcntcnt,转化为01背包问题求解\nn = cnt;\nfor(int i=1;i<=n;i++){\n for(int j=0;j<=m;j++){\n f[i][j] = f[i-1][j];\n if(j>=v[i]) f[i][j] = max(f[i][j],f[i-1][j-v[i]]+w[i]);\n }\n}\ncout<<f[n][m]<<endl;\n多重背包问题2\n 分组背包问题\n有NNN组,每一组只能选其中一种物品\nf[i][j]=Max(f[i−1,j],f[i−1,j−vi,k]+wi,k)f[i][j] = Max(f[i-1,j],f[i-1,j-v_{i,k}]+w_{i,k})f[i][j]=Max(f[i−1,j],f[i−1,j−vi,k​]+wi,k​)\n分组背包问题\n","categories":["算法"],"tags":[]},{"title":"算法数论","url":"/algorithm-math/","content":" 质数\n对于大于一的整数,如果只包含一和本身这两个约数,它就是质数(也叫素数)\n 试除法\nO(n)O(\\sqrt n)O(n​)\nbool is_prime(int x)\n{\n if (x < 2) return false;\n for (int i = 2; i <= x / i; i ++ )\n if (x % i == 0)\n return false;\n return true;\n}\n 试除法分解质因数\nvoid divide(int x)\n{\n for (int i = 2; i <= x / i; i ++ )\n if (x % i == 0)\n {\n int s = 0;\n while (x % i == 0) x /= i, s ++ ;\n cout << i << ' ' << s << endl;\n }\n if (x > 1) cout << x << ' ' << 1 << endl;\n cout << endl;\n}\n 朴素筛法求素数\n枚举每一个数,如果它没有被筛,则加入质数集合,并且把它的所有倍数都筛掉\nO(nloglogn)O(nloglogn)O(nloglogn)\nint primes[N], cnt; // primes[]存储所有素数\nbool st[N]; // st[x]存储x是否被筛掉\n\nvoid get_primes(int n)\n{\n for (int i = 2; i <= n; i ++ )\n {\n if (st[i]) continue;\n primes[cnt ++ ] = i;\n for (int j = i + i; j <= n; j += i)\n st[j] = true;\n }\n}\n 线性筛法求素数\nint primes[N], cnt; // primes[]存储所有素数\nbool st[N]; // st[x]存储x是否被筛掉\n\nvoid get_primes(int n)\n{\n for (int i = 2; i <= n; i ++ )\n {\n if (!st[i]) primes[cnt ++ ] = i;\n for (int j = 0; primes[j] <= n / i; j ++ )\n {\n st[primes[j] * i] = true;\n if (i % primes[j] == 0) break;\n }\n }\n}\n 约数\n 试除法求所有约数\nvector<int> get_divisors(int x)\n{\n vector<int> res;\n for (int i = 1; i <= x / i; i ++ )\n if (x % i == 0)\n {\n res.push_back(i);\n if (i != x / i) res.push_back(x / i);\n }\n sort(res.begin(), res.end());\n return res;\n}\n 约数个数和约数之和\n如果 N = p1^c1 * p2^c2 * … *pk^ck\n约数个数: (c1 + 1) * (c2 + 1) * … * (ck + 1)\n约数之和: (p1^0 + p1^1 + … + p1^c1) * … * (pk^0 + pk^1 + … + pk^ck)\n 欧几里得算法求最大公约数\nint gcd(int a, int b)\n{\n return b ? gcd(b, a % b) : a;\n}\n 欧拉函数\nϕ(n)\\phi(n)ϕ(n):1-n中与n互质的数的个数\nint phi(int x)\n{\n int res = x;\n for (int i = 2; i <= x / i; i ++ )\n if (x % i == 0)\n {\n res = res / i * (i - 1);\n while (x % i == 0) x /= i;\n }\n if (x > 1) res = res / x * (x - 1);\n\n return res;\n}\n 筛法求欧拉函数\nint primes[N], cnt; // primes[]存储所有素数\nint euler[N]; // 存储每个数的欧拉函数\nbool st[N]; // st[x]存储x是否被筛掉\n\n\nvoid get_eulers(int n)\n{\n euler[1] = 1;\n for (int i = 2; i <= n; i ++ )\n {\n if (!st[i])\n {\n primes[cnt ++ ] = i;\n euler[i] = i - 1;\n }\n for (int j = 0; primes[j] <= n / i; j ++ )\n {\n int t = primes[j] * i;\n st[t] = true;\n if (i % primes[j] == 0)\n {\n euler[t] = euler[i] * primes[j];\n break;\n }\n euler[t] = euler[i] * (primes[j] - 1);\n }\n }\n}\n 快速幂\n在O(logk)O(logk)O(logk)时间内求出求出akmodpa^k mod pakmodp\nint qmi(int m, int k, int p)\n{\n int res = 1 % p, t = m;\n while (k)\n {\n if (k&1) res = res * t % p;\n t = t * t % p;\n k >>= 1;\n }\n return res;\n}\n 扩展欧几里得算法\n// 求x, y,使得ax + by = gcd(a, b)\nint exgcd(int a, int b, int &x, int &y)\n{\n if (!b)\n {\n x = 1; y = 0;\n return a;\n }\n int d = exgcd(b, a % b, y, x);\n y -= (a/b) * x;\n return d;\n}\n 中国剩余定理\n给定一些两两互质的数,求解线性同余方程组\nToBeContinueTo Be ContinueToBeContinue\n 高斯消元\n在O(n3)O(n^3)O(n3)内求解线性方程组\n// a[N][N]是增广矩阵\nint gauss()\n{\n int c, r;\n for (c = 0, r = 0; c < n; c ++ )\n {\n int t = r;\n for (int i = r; i < n; i ++ ) // 找到绝对值最大的行\n if (fabs(a[i][c]) > fabs(a[t][c]))\n t = i;\n\n if (fabs(a[t][c]) < eps) continue;\n\n for (int i = c; i <= n; i ++ ) swap(a[t][i], a[r][i]); // 将绝对值最大的行换到最顶端\n for (int i = n; i >= c; i -- ) a[r][i] /= a[r][c]; // 将当前行的首位变成1\n for (int i = r + 1; i < n; i ++ ) // 用当前行将下面所有的列消成0\n if (fabs(a[i][c]) > eps)\n for (int j = n; j >= c; j -- )\n a[i][j] -= a[r][j] * a[i][c];\n\n r ++ ;\n }\n\n if (r < n)\n {\n for (int i = r; i < n; i ++ )\n if (fabs(a[i][n]) > eps)\n return 2; // 无解\n return 1; // 有无穷多组解\n }\n`\n for (int i = n - 1; i >= 0; i -- )\n for (int j = i + 1; j < n; j ++ )\n a[i][n] -= a[i][j] * a[j][n];\n\n return 0; // 有唯一解\n}\n 组合数\n 递推法求组合数\nCab=Ca−1b+Ca−1b−1C_{a}^{b} = C_{a-1}^{b} + C_{a-1}^{b-1}Cab​=Ca−1b​+Ca−1b−1​\n// c[a][b] 表示从a个苹果中选b个的方案数\nfor (int i = 0; i < N; i ++ )\n for (int j = 0; j <= i; j ++ )\n if (!j) c[i][j] = 1;\n else c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % mod;\n","categories":["算法"],"tags":[]},{"title":"最小生成树与二分图算法","url":"/algorithm-minimum-spanning-tree/","content":" 最小生成树\n Prim算法\n处理稠密图\n朴素Prim算法 O(n2)O(n^2)O(n2)\n类似dijkstra,找出距离集合最短的点,加入集合,更新其他点到集合的距离\nint n; // n表示点数\nint g[N][N]; // 邻接矩阵,存储所有边\nint dist[N]; // 存储其他点到当前最小生成树的距离\nbool st[N]; // 存储每个点是否已经在生成树中\n\n\n// 如果图不连通,则返回INF(值是0x3f3f3f3f), 否则返回最小生成树的树边权重之和\nint prim()\n{\n memset(dist, 0x3f, sizeof dist);\n\n int res = 0;\n for (int i = 0; i < n; i ++ )\n {\n int t = -1;\n for (int j = 1; j <= n; j ++ )\n if (!st[j] && (t == -1 || dist[t] > dist[j]))\n t = j;\n\n if (i && dist[t] == INF) return INF;\n\n if (i) res += dist[t];\n st[t] = true;\n\n for (int j = 1; j <= n; j ++ ) dist[j] = min(dist[j], g[t][j]);\n }\n\n return res;\n}\n堆优化Prim O(mlogn)O(mlogn)O(mlogn) (不常用)\n Kruskal算法\nO(mlogm)O(mlogm)O(mlogm) 处理稀疏图\n\n将所有边按照权重排序\n枚举每条边a->b,权重c (如果ab不联通,则将边ab加入集合中)\n\nint n, m; // n是点数,m是边数\nint p[N]; // 并查集的父节点数组\n\nstruct Edge // 存储边\n{\n int a, b, w;\n\n bool operator< (const Edge &W)const\n {\n return w < W.w;\n }\n}edges[M];\n\nint find(int x) // 并查集核心操作\n{\n if (p[x] != x) p[x] = find(p[x]);\n return p[x];\n}\n\nint kruskal()\n{\n sort(edges, edges + m);\n\n for (int i = 1; i <= n; i ++ ) p[i] = i; // 初始化并查集\n\n int res = 0, cnt = 0;\n for (int i = 0; i < m; i ++ )\n {\n int a = edges[i].a, b = edges[i].b, w = edges[i].w;\n\n a = find(a), b = find(b);\n if (a != b) // 如果两个连通块不连通,则将这两个连通块合并\n {\n p[a] = b;\n res += w;\n cnt ++ ;\n }\n }\n\n if (cnt < n - 1) return INF;\n return res;\n}\n【模版】最小生成树\n买礼物\n 二分图\n定义:设G=(V,E)是一个无向图,如果顶点V可分割为两个互不相交的子集(A,B),并且图中的每条边(i,j)所关联的两个顶点i和j分别属于这两个不同的顶点集(i in A,j in B),则称图G为一个二分图\n一个图是二分图当且仅当图中不含有奇数环\n 染色法\nO(n+m)O(n+m)O(n+m) 判断是否为二分图\nint n; // n表示点数\nint h[N], e[M], ne[M], idx; // 邻接表存储图\nint color[N]; // 表示每个点的颜色,-1表示未染色,0表示白色,1表示黑色\n\n// 参数:u表示当前节点,c表示当前点的颜色\nbool dfs(int u, int c)\n{\n color[u] = c;\n for (int i = h[u]; i != -1; i = ne[i])\n {\n int j = e[i];\n if (color[j] == -1)\n {\n if (!dfs(j, !c)) return false;\n }\n else if (color[j] == c) return false;\n }\n\n return true;\n}\n\nbool check()\n{\n memset(color, -1, sizeof color);\n bool flag = true;\n for (int i = 1; i <= n; i ++ )\n if (color[i] == -1)\n if (!dfs(i, 0))\n {\n flag = false;\n break;\n }\n return flag;\n}\n 匈牙利算法\nO(mn)O(mn)O(mn),实际运行时间远小于O(mn)O(mn)O(mn)\n实现二分图的最大匹配\nint n1, n2; // n1表示第一个集合中的点数,n2表示第二个集合中的点数\nint h[N], e[M], ne[M], idx; // 邻接表存储所有边,匈牙利算法中只会用到从第一个集合指向第二个集合的边,所以这里只用存一个方向的边\nint match[N]; // 存储第二个集合中的每个点当前匹配的第一个集合中的点是哪个\nbool st[N]; // 表示第二个集合中的每个点是否已经被遍历过\n\nbool find(int x)\n{\n for (int i = h[x]; i != -1; i = ne[i])\n {\n int j = e[i];\n if (!st[j])\n {\n st[j] = true;\n if (match[j] == 0 || find(match[j]))\n {\n match[j] = x;\n return true;\n }\n }\n }\n\n return false;\n}\n\n// 求最大匹配数,依次枚举第一个集合中的每个点能否匹配第二个集合中的点\nint res = 0;\nfor (int i = 1; i <= n1; i ++ )\n{\n memset(st, false, sizeof st);\n if (find(i)) res ++ ;\n}\n","categories":["算法"],"tags":[]},{"title":"最短路算法","url":"/algorithm-shortest-path/","content":" 最短路\nnnn为点数,mmm为边数\n若mmm与n2n^2n2同一级别为稠密图,与nnn同一级别为稀疏图\n稠密图使用邻接矩阵储存,稀疏图用邻接表储存\n\n单源最短路\n\n所有边权都是正数\n\n朴素dijkstradijkstradijkstra算法 O(n2+m)O(n^2+m)O(n2+m)\n堆优化版dijkstradijkstradijkstra算法 O(mlogn)O(mlogn)O(mlogn)\n\n\n存在负权边\n\nBellman−FordBellman-FordBellman−Ford算法 O(nm)O(nm)O(nm)\nSPFASPFASPFA算法 一般O(m)O(m)O(m),最坏O(nm)O(nm)O(nm)\n\n\n\n\n多源汇最短路\n\nfloydfloydfloyd算法 O(n3)O(n^3)O(n3)\n\n\n\n 朴素dijkstra算法\n\n\n初始化距离,$dist[1]=0,dist[i]=+\\infty $,st数组:当前已经确定最短路径的点\n\n\n循环每一个点,找到不在st中的最短距离点t,t加入到st中,用t更新其他点的距离\n\n\nint g[N][N]; // 存储每条边\nint dist[N]; // 存储1号点到每个点的最短距离\nbool st[N]; // 存储每个点的最短路是否已经确定\n\n// 求1号点到n号点的最短路,如果不存在则返回-1\nint dijkstra()\n{\n memset(dist, 0x3f, sizeof dist);\n dist[1] = 0;\n\n for (int i = 0; i < n - 1; i ++ )\n {\n int t = -1; // 在还未确定最短路的点中,寻找距离最小的点\n for (int j = 1; j <= n; j ++ )\n if (!st[j] && (t == -1 || dist[t] > dist[j]))\n t = j;\n\n // 用t更新其他点的距离\n for (int j = 1; j <= n; j ++ )\n dist[j] = min(dist[j], dist[t] + g[t][j]);\n\n st[t] = true;\n }\n\n if (dist[n] == 0x3f3f3f3f) return -1;\n return dist[n];\n}\n一般边数m比较多,所以使用邻接矩阵g[a][b]存储\n 堆优化版dijkstra算法\n将寻找距离最小的点的时间复杂度降低\n堆可以使用手写堆或优先队列\ntypedef pair<int, int> PII;\n\nint n; // 点的数量\nint h[N], w[N], e[N], ne[N], idx; // 邻接表存储所有边\nint dist[N]; // 存储所有点到1号点的距离\nbool st[N]; // 存储每个点的最短距离是否已确定\nvoid add(int a, int b, int c){\n e[idx] = b, w[idx] = c, ne[idx] = h[a], h[a] = idx++;\n}\n// 求1号点到n号点的最短距离,如果不存在,则返回-1\nint dijkstra()\n{\n memset(dist, 0x3f, sizeof dist);\n dist[1] = 0;\n priority_queue<PII, vector<PII>, greater<PII>> heap;\n heap.push({0, 1}); // first存储距离,second存储节点编号\n\n while (heap.size())\n {\n auto t = heap.top();\n heap.pop();\n\n int ver = t.second, distance = t.first;\n\n if (st[ver]) continue;\n st[ver] = true;\n\n for (int i = h[ver]; i != -1; i = ne[i])\n {\n int j = e[i];\n if (dist[j] > distance + w[i])\n {\n dist[j] = distance + w[i];\n heap.push({dist[j], j});\n }\n }\n }\n\n if (dist[n] == 0x3f3f3f3f) return -1;\n return dist[n];\n}\n Bellman-Ford算法\n迭代n次,每次遍历所有边,对dist[b]进行更新\nint n, m; // n表示点数,m表示边数\nint dist[N]; // dist[x]存储1到x的最短路距离\n\nstruct Edge // 边,a表示出点,b表示入点,w表示边的权重\n{\n int a, b, w;\n}edges[M];\n\n// 求1到n的最短路距离,如果无法从1走到n,则返回-1。\nint bellman_ford()\n{\n memset(dist, 0x3f, sizeof dist);\n dist[1] = 0;\n\n // 如果第n次迭代仍然会松弛三角不等式,就说明存在一条长度是n+1的最短路径,由抽屉原理,路径中至少存在两个相同的点,说明图中存在负权回路。\n for (int i = 0; i < n; i ++ )\n {\n for (int j = 0; j < m; j ++ )\n {\n int a = edges[j].a, b = edges[j].b, w = edges[j].w;\n if (dist[b] > dist[a] + w)\n dist[b] = dist[a] + w;\n }\n }\n\n if (dist[n] > 0x3f3f3f3f / 2) return -1;\n return dist[n];\n}\n//遍历完后满足三角不等式\ndist[b] <= dist[a] + w\n可以用于找负环,时间复杂度比较高\n SPFA算法\n队列优化的Bellman-Ford算法\nint n; // 总点数\nint h[N], w[N], e[N], ne[N], idx; // 邻接表存储所有边\nint dist[N]; // 存储每个点到1号点的最短距离\nbool st[N]; // 存储每个点是否在队列中\n\n// 求1号点到n号点的最短路距离,如果从1号点无法走到n号点则返回-1\nint spfa()\n{\n memset(dist, 0x3f, sizeof dist);\n dist[1] = 0;\n\n queue<int> q;\n q.push(1);\n st[1] = true;\n\n while (q.size())\n {\n auto t = q.front();\n q.pop();\n\n st[t] = false;\n\n for (int i = h[t]; i != -1; i = ne[i])\n {\n int j = e[i];\n if (dist[j] > dist[t] + w[i])\n {\n dist[j] = dist[t] + w[i];\n if (!st[j]) // 如果队列中已存在j,则不需要将j重复插入\n {\n q.push(j);\n st[j] = true;\n }\n }\n }\n }\n\n if (dist[n] == 0x3f3f3f3f) return -1;\n return dist[n];\n}\n推荐使用,只要不被卡或者存在负环\n判断负环\n在进行更新dist[j] = dist[t] + w时,同时维护cnt[x] (1号点到x号点经过的边数)\ncnt[x] = cnt[t]+1;\n若某个cnt[x] 大于等于n,则说明存在负环\nint n; // 总点数\nint h[N], w[N], e[N], ne[N], idx; // 邻接表存储所有边\nint dist[N], cnt[N]; // dist[x]存储1号点到x的最短距离,cnt[x]存储1到x的最短路中经过的点数\nbool st[N]; // 存储每个点是否在队列中\n\n// 如果存在负环,则返回true,否则返回false。\nbool spfa()\n{\n // 不需要初始化dist数组\n // 原理:如果某条最短路径上有n个点(除了自己),那么加上自己之后一共有n+1个点,由抽屉原理一定有两个点相同,所以存在环。\n\n queue<int> q;\n for (int i = 1; i <= n; i ++ )\n {\n q.push(i);\n st[i] = true;\n }\n\n while (q.size())\n {\n auto t = q.front();\n q.pop();\n\n st[t] = false;\n\n for (int i = h[t]; i != -1; i = ne[i])\n {\n int j = e[i];\n if (dist[j] > dist[t] + w[i])\n {\n dist[j] = dist[t] + w[i];\n cnt[j] = cnt[t] + 1;\n if (cnt[j] >= n) return true; // 如果从1号点到x的最短路中包含至少n个点(不包括自己),则说明存在环\n if (!st[j])\n {\n q.push(j);\n st[j] = true;\n }\n }\n }\n }\n\n return false;\n}\n【模版】单源最短路径(弱化版)\n【模版】单源最短路径(标准版)\n Floyd算法\n基于动态规划\n初始化:\n for (int i = 1; i <= n; i ++ )\n for (int j = 1; j <= n; j ++ )\n if (i == j) d[i][j] = 0;\n else d[i][j] = INF;\n\n// 算法结束后,d[a][b]表示a到b的最短距离\nvoid floyd()\n{\n for (int k = 1; k <= n; k ++ )\n for (int i = 1; i <= n; i ++ )\n for (int j = 1; j <= n; j ++ )\n d[i][j] = min(d[i][j], d[i][k] + d[k][j]);\n}\n【模板】Floyd 算法\n","categories":["算法"],"tags":[]},{"title":"递归与搜索","url":"/algorithm-search/","content":" DFS与BFS\n\n深度优先搜索(DFS)\n\n用StackStackStack递归,空间O(h)O(h)O(h),不具有最短性\n题目:全排列、八皇后\n\n宽度优先搜索(BFS)\n\n用QueueQueueQueue,空间O(2h)O(2^h)O(2h),“最短路”\n题目:迷宫\n回溯、剪枝\n烤鸡\n猫猫和企鹅\n在矩阵中4个方向遍历\nint dx[] = {1,0,-1,0},y = {0,1,0,-1};\n防止走相反的方向导致搜索回溯\nif(i ^ 2 == d) continue;\n8个方向遍历\nint dx[8] = {-1, -1, -1, 0, 1, 1, 1, 0};\nint dy[8] = {-1, 0, 1, 1, 1, 0, -1, -1};\n防止走相反的方向导致搜索回溯\nif(i ^ 4 == d) continue;\n 树和图的存储\n树是特殊的无环连通图\n有向图a→ba \\to ba→b\n\n\n邻接矩阵 g[a][b]g[a][b]g[a][b]\n\n\n邻接表,用链表储存点iii可以到达的点\n\n\n// 对于每个点k,开一个单链表,存储k所有可以走到的点。h[k]存储这个单链表的头结点\nint h[N], e[N], ne[N], idx;\n\n// 添加一条边a->b\nvoid add(int a, int b)\n{\n e[idx] = b, ne[idx] = h[a], h[a] = idx ++ ;\n}\n\n// 初始化\nidx = 0;\nmemset(h, -1, sizeof h);\n 树和图的遍历\n时间复杂度O(n+m)O(n+m)O(n+m),n表示点数,m表示边数\n\n深度优先遍历\n\nint dfs(int u)\n{\n st[u] = true; // st[u] 表示点u已经被遍历过\n\n for (int i = h[u]; i != -1; i = ne[i])\n {\n int j = e[i];\n if (!st[j]) dfs(j);\n }\n}\n\n宽度优先遍历\n\nqueue<int> q;\nst[1] = true; // 表示1号点已经被遍历过\nq.push(1);\n\nwhile (q.size())\n{\n int t = q.front();\n q.pop();\n\n for (int i = h[t]; i != -1; i = ne[i])\n {\n int j = e[i];\n if (!st[j])\n {\n st[j] = true; // 表示点j已经被遍历过\n q.push(j);\n }\n }\n}\n 拓扑排序\n时间复杂度O(n+m)O(n+m)O(n+m),n表示点数,m表示边数\n有向无环图一定可以拓扑排序,序列可能不唯一\n入度、出度:有多少条边指向自己/从自己这里指出去\n\n\n将入度为0的点入队\n\n\n宽搜,枚举队头的所有出边t→jt \\to jt→j,删掉t→jt \\to jt→j,ttt的出度减一\n\n\nbool topsort()\n{\n int hh = 0, tt = -1;\n\n // d[i] 存储点i的入度\n for (int i = 1; i <= n; i ++ )\n if (!d[i])\n q[ ++ tt] = i;\n\n while (hh <= tt)\n {\n int t = q[hh ++ ];\n\n for (int i = h[t]; i != -1; i = ne[i])\n {\n int j = e[i];\n d[j]--;\n if (d[j] == 0)\n q[ ++ tt] = j;\n }\n }\n\n // 如果所有点都入队了,说明存在拓扑序列;否则不存在拓扑序列。\n return tt == n - 1;\n}\n一个有向无环图至少有一个入度为0的点\n","categories":["算法"],"tags":[]},{"title":"Vue学习笔记","url":"/vue/","content":" 代码风格\nVue2:选项式API\nVue3:组合式API\n 准备工作\n首先配置Node.jsNode.jsNode.js环境,然后\nnpm init vue@latest\n初始化名称namenamename(不要用大写字母)\n一路勾选NONONO\nIDE使用VSCodeVSCodeVSCode+VolarVolarVolar插件\n进入namenamename文件夹cd name\n执行npm install\nnpm run dev即可运行项目\n 文件目录\nnode_modules 依赖文件夹\npublic 资源文件夹\nsrc 源码文件夹\nindex.html 入口HTML文件\npackage.json 信息描述文件\nvite.config.js Vue配置文件\n 模版语法\n\n文本插值\n\n​\t{{msg}},其中可以使用JavaScrpitJavaScrpitJavaScrpit表达式\n​\t{{number +1}} 、{{ok ? 'Yes' : 'No'}}、{{msg.split('')}}\n\n原始html\n\n​\t使用v-html\n 属性绑定\nv-bind\n文本的绑定使用{{}}绑定,而属性(id、class等)的绑定使用v-bind\n<div v-bind:id="ID" v-bind:class="MyClass">\n {{msg}}\n</div>\n其中ID、MyClass、msg都是data变量\n简写::属性\n例如\n<div :id="ID" :class="MyClass">\n {{msg}}\n</div>\n将属性存进同一个对象可以实现一次性绑定多个值\n 条件渲染\nv-if v-else v-else-if v-show\nv-if:如果初次渲染时为false,就不会被渲染,有较高的切换开销\nv-show:无论初始值如何都会被渲染,后续根据CSS的display属性切换,有较高的初始渲染开销\n如果需要频繁切换,用v-show\n 列表渲染\nv-for指令基于item in items\n如果要获取下标,使用(item,index) in items\n对于对象数组,则是(value,key,index)\n 通过key管理状态\nVue默认按照“就地更新”,重新渲染消耗性能\n不推荐Key绑定index,而是绑定id等唯一索引属性\n 事件处理\n使用v-on或者@监听DOM事件\n\n内联事件处理器:内联JS语句\n方法事件处理器:指向方法\n\n 事件参数\n在方法中传递参数到事件中\nadd(count){\n\tthis.num += count;\n}\n传递$event获取JS的event对象\n 事件修饰符\n简化代码\n文档\n<!-- 阻止单击事件继续传播 -->\n<a v-on:click.stop="doThis"></a>\n\n<!-- 提交事件不再重载页面 -->\n<form v-on:submit.prevent="onSubmit"></form>\n\n<!-- 修饰符可以串联 -->\n<a v-on:click.stop.prevent="doThat"></a>\n\n<!-- 只有修饰符 -->\n<form v-on:submit.prevent></form>\n\n<!-- 添加事件监听器时使用事件捕获模式 -->\n<!-- 即内部元素触发的事件先在此处理,然后才交由内部元素进行处理 -->\n<div v-on:click.capture="doThis">...</div>\n\n<!-- 只当在 event.target 是当前元素自身时触发处理函数 -->\n<!-- 即事件不是从内部元素触发的 -->\n<div v-on:click.self="doThat">...</div>\n 数组变化侦测\n\n变更方法\n\nUI发生更新,原数组发生改变更新\npush()、pop()、shift()、unshift()、sort()、reverse()\n\n替换一个数组\n\nUI不发生更新,赋值到的是新数组\nconcat()、filter()、slice()\n 计算属性\n描述依赖响应式状态的复杂逻辑\ncomputed,方法中进行计算属性\n具有缓存,所以性能优于常规方法调用\n Class绑定\nvue中对于class的v-bind得到加强,表达式除了字符串以外,还可以是数组或者对象\n//template:\n<p :class="classObject">\n Class样式绑定\n</p>\n\n//data:\nclassObject{\n\tactive: true,\n\tdanger: false\n}\n\n//style:\n.active{\n\tfont-size:30px\n}\n.danger{\n\tcolor:red\n}\n Style绑定\nvue中对于style的v-bind得到加强,表达式除了字符串以外,还可以是数组或者对象\n//template:\n<p :style:"styleObject">\n Style样式绑定\n</p>\n\n//data:\nstyleObject{\n\tactiveColor: red,\n\tactiveSize: 30\n}\n 侦听器\n使用watch选项在每次响应式属性发生变化时触发一个函数\n//data:\nmessage: "Hello"\n\n//watch:\nmessage(newValue,oldValue){\n\t//数据发生变化,自动执行方法\n\tconsole.log("new=>"+newValue);\n\tconsole.log("old=>"+oldValue);\n}\n注意watch的方法名必须和data中数据变量名一致\n 表单输入绑定\nv-model\n将表单输入和响应式属性进行双向绑定\n提供修饰符.lazy .number .trim,对输入进行过滤\n.lazy 失去焦点才绑定\n.number 只接受数字\n.trim 去除前后空格\n 模版引用\n一般来说\n内容改变: \n属性改变: v-bind: 指令\n事件: v-on:click\n若要访问一些底层的DOM元素,可以使用ref\n<div ref:"container">\n {{ content }}\n</div>\n\nthis.$refs.container.属性\n如果没有特殊需求,不要使用ref,比较消耗性能\n 组件组成\n组件的最大优势就是可复用性\n定义在.vue文件中\n组件构成:template,script,style\n引用:\n\n在script中import\n在component中注入组件\n在template以标签形式显示组件\n\n对于一个组件,必须存在template,其他可以没有\nstyle中scoped属性表示:让当前样式只在当前组件中生效\n 组件嵌套关系\nnull\n 组件注册方式\n全局注册和局部注册\n全局注册\n在main.js中,\nimport Header from ".....";\nconst app = createApp(App);\n//在这个中间\napp.component("Header",Header)\n\napp.mount("#app")\n局部注册\n\nimport\n在components中注册\n在template中显示\n\n推荐使用局部注册\n 组件传递数据-Props\n使用props进行组件之间的数据传递\n<Child title="数据"/>\n在Child.vue中\nprops:["title"]\n即可获取title的数据值{{title}}\n也可以结合v-bind,即\n<Child :title="message"/>\n\ndata():\n\tmessage: xxx\n注意事项:props传递数据只能从父级到子级,不能反其道而行。\n 组件传递多种数据类型\n此外,props还能传递除了字符串以外的数据类型,例如数字,数组,对象等\n 组件传递Props效验\nprops{\n\ttitle{\n\t\ttype: String,\n\t\tdefault: "Alex"\n\t}\n\tnames{\n\t\ttype: [String,Number,Array,Object],\n\t\trequired: true //是否为必选项\n\t}\n}\n如果是数组或者对象,default就需要以函数形式写出来\nnames{\n\ttype:Array,\n\tdefault(){\n\t\treturn xxx;\n\t}\n}\nProps是只读的,不允许进行修改父元素传递过来的数据\n 组件事件\n$emit触发自定义事件,达到组件之间的数据传递\n在子级元素中this.$emit(“someEvent”,data)\n即可在父元素中\n<Child @someEvent="getData" />\n\nmethods:\ngetData(data){\n\tconsole.log(data);\n}\n父传子:props\n子传父:$emit\n 组件事件配合v-model\n在侦听器watch中进行$emit传递v-model数据的newValue\n 组件数据传递\n用props实现子传父\n将传递的数据类型设置为Function\n 透传Attribute\n×\n 插槽Slots\n为子组件传递一些模版片段,在子组件中渲染这些片段\nApp.vue中\n<template>\n\t<SlotA>\n \t<h3>\n hhhh\n \t</h3>\n </SlotA>\n</template>\n在SlotA.vue中\n<template>\n\t<h3>\n 原本内容\n </h3>\n\t<slot></slot>\n</template>\n在子组件中用slot渲染传入的模版片段\n\n\n插槽内容可以访问到父组件的数据域\n\n\n在没有传递插槽内容情况下,可以设置插槽的默认内容\n\n\n具名插槽:\n\n\n在插槽中设定\n<template v-slot="header">\n\n</template>\n<template v-slot="main">\n\n</template>\n即可设定\n<slot name="main"></slot>\n选定具体需要的内容\n其中v-slot可以简写为#\n 组件生命周期\n创建期,挂载期,更新期,销毁期\nbeforeCreate 组件创建之前\ncreated 组件创建之后\nbeforeMount 组件渲染之前\nmounted 组件渲染之后\nbeforeUpdate 组件更新之前\nupdated 组件更新之后\nbeforeUnmount 组件销毁之前\nunmounted 组件销毁之后\n 生命周期应用\n\n通过ref获取DOM结构\n\nmounted\n\n模拟网络请求渲染数据\n\ncreated,推荐mounted\n 动态组件\n<component :is="ComponentData"></component>\n 组件保持存活\n使用动态组件切换组件时,被切换的组件会被卸载。使用<keep-alive>强制使组件保持存活\n<keep-alive>\n\t<component :is="ComponentData"></component>\n</keep-alive>\n保持存活,不会被卸载 ,数据不会被重新初始化\n 异步组件\n<script>\n import defineAsyncComponent from 'vue'\n const ComponentB = defineAsyncComponent(()=>{\n import("/ComponentB.vue")\n })\n</script>\n 依赖注入\nprops逐级透传可以用provide和inject解决\n上级组件\nprovide{\n\tmsg: "123"\n}\n//或者\nprovide(){\n\treturn{\n message = this.message\n //获取data中数据\n\t}\n}\n子级组件\ninject:["msg"]\n即可获取msg内容{{msg}}\n只能由上到下,不能反向传递\n可以在main.js提供全局数据\napp.provide("global","123")\n Vue应用\n 应用实例\n每一个vue应用都是通过createApp函数创建\nimport {createApp} from 'vue'\nconst app = createApp({\n\t//根组件选项\n})\n一个Vue项目中,有且只有一个Vue实例对象\n 根组件\nimport App from './App.vue'\nconst app = createApp(App);\n 挂载应用\n应用实例调用了.mount()才能渲染出来,该方法接受一个容器参数\napp.mount('#app')\n<div id="app"></div>\n 公共资源\n位于.assets下存放公共资源,包括css文件,图片,字体等\n","categories":["前端"],"tags":[]},{"title":"算法基础数据结构","url":"/algorithm-data-struct/","content":" 链表与邻接表\n由于用结构体+指针比较慢,一般在面试题使用,在这里使用数组模拟链表\n\n单链表\n\ne[N]:储存链表结点的值\nne[N]:储存结点的下一个结点下标,其中空结点下标为-1\n// head存储链表头,e[]存储节点的值,ne[]存储节点的next指针,idx表示当前用到了哪个节点\nint head, e[N], ne[N], idx;\n\n// 初始化\nvoid init()\n{\n head = -1;\n idx = 0;\n}\n\n// 在链表头插入一个数a\nvoid insert(int a)\n{\n e[idx] = a, ne[idx] = head, head = idx ++ ;\n}\n\n//在a插到下标是k的结点后面\nvoid insert(int a,int k)\n{\n e[idx] = a, ne[idx] = ne[k], ne[k] = idx ++ ;\n}\n\n// 将头结点删除,需要保证头结点存在\nvoid remove()\n{\n head = ne[head];\n}\n\n// 将下标为k的结点的后一个点删除\nvoid remove(k)\n{\n ne[k] = ne[ne[k]];\n}\n\n双链表\n\n作用:优化某些问题\n// e[]表示节点的值,l[]表示节点的左指针,r[]表示节点的右指针,idx表示当前用到了哪个节点\nint e[N], l[N], r[N], idx;\n\n// 初始化\nvoid init()\n{\n //0是左端点,1是右端点\n r[0] = 1, l[1] = 0;\n idx = 2;\n}\n\n// 在节点a的右边插入一个数x\nvoid insert(int a, int x)\n{\n e[idx] = x;\n l[idx] = a, r[idx] = r[a];\n l[r[a]] = idx, r[a] = idx ++ ;\n}\n\n// 删除节点a\nvoid remove(int a)\n{\n l[r[a]] = l[a];\n r[l[a]] = r[a];\n}\n\n邻接表\n\nN个单链表,用于存储树和图\n 栈\n先进后出(FILO)\n// tt表示栈顶\nint stk[N], tt = 0;\n\n// 向栈顶插入一个数\nstk[ ++ tt] = x;\n\n// 从栈顶弹出一个数\ntt -- ;\n\n// 栈顶的值\nstk[tt];\n\n// 判断栈是否为空,如果 tt > 0,则表示不为空\nif (tt > 0)\n{\n\tnot empty\n}else\n{\n empty\n}\n 队列\n先进先出(FIFO)\n// hh 表示队头,tt表示队尾\nint q[N], hh = 0, tt = -1;\n\n// 向队尾插入一个数\nq[ ++ tt] = x;\n\n// 从队头弹出一个数\nhh ++ ;\n\n// 队头的值\nq[hh];\n\n// 判断队列是否为空,如果 hh <= tt,则表示不为空\nif (hh <= tt)\n{\n\n}\n循环队列\n// hh 表示队头,tt表示队尾的后一个位置\nint q[N], hh = 0, tt = 0;\n\n// 向队尾插入一个数\nq[tt ++ ] = x;\nif (tt == N) tt = 0;\n\n// 从队头弹出一个数\nhh ++ ;\nif (hh == N) hh = 0;\n\n// 队头的值\nq[hh];\n\n// 判断队列是否为空,如果hh != tt,则表示不为空\nif (hh != tt)\n{\n\n}\n 单调栈\n题型:求给定序列每一个数左/右边离他最近的比他大/小的数\nint tt = 0;\nfor (int i = 1; i <= n; i ++ )\n{\n while (tt && check(stk[tt], i)) tt -- ;\n stk[ ++ tt] = i;\n}\n 单调队列\n题型:求滑动窗口的最大/小值\nint hh = 0, tt = -1;\nfor (int i = 0; i < n; i ++ )\n{\n while (hh <= tt && check_out(q[hh])) hh ++ ; // 判断队头是否滑出窗口\n while (hh <= tt && check(q[tt], i)) tt -- ;\n q[ ++ tt] = i;\n}\n KMP\n对于字符串sss,判断是否包含模式串ttt\n// s[]是长文本,p[]是模式串,n是s的长度,m是p的长度\n//求模式串的Next数组:\nfor (int i = 2, j = 0; i <= m; i ++ )\n{\n while (j && p[i] != p[j + 1]) j = ne[j];\n if (p[i] == p[j + 1]) j ++ ;\n ne[i] = j;\n}\n\n// 匹配\nfor (int i = 1, j = 0; i <= n; i ++ )\n{\n while (j && s[i] != p[j + 1]) j = ne[j];\n if (s[i] == p[j + 1]) j ++ ;\n if (j == m)\n {\n j = ne[j];\n // 匹配成功后的逻辑\n }\n}\n Trie树\n快速存储和查找字符串集合的数据结构\nint son[N][26], cnt[N], idx;\n// 0号点既是根节点,又是空节点\n// son[][]存储树中每个节点的子节点\n// cnt[]存储以每个节点结尾的单词数量\n\n// 插入一个字符串\nvoid insert(char *str)\n{\n int p = 0;\n for (int i = 0; str[i]; i ++ )\n {\n int u = str[i] - 'a';\n if (!son[p][u]) son[p][u] = ++ idx;\n p = son[p][u];\n }\n cnt[p] ++ ;\n}\n\n// 查询字符串出现的次数\nint query(char *str)\n{\n int p = 0;\n for (int i = 0; str[i]; i ++ )\n {\n int u = str[i] - 'a';\n if (!son[p][u]) return 0;\n p = son[p][u];\n }\n return cnt[p];\n}\n最大异或对\n前缀统计\n 并查集\n\n将两个集合合并\n询问两个元素是否在一个集合当中\n\n近乎O(1)O(1)O(1)\n基本原理:每一个集合用一棵树表示,树根的编号就是整个集合的编号。每个节点存储它的父节点p[x]p[x]p[x]表示xxx的父节点\n\n如何判断是树根?\n\np[x]=xp[x] = xp[x]=x\n\n如何求xxx的集合编号\n\nwhile(p[x]!=x) x = p[x]\n\n如何合并两个区间\n\n设p[x]为x集合编号,p[y]是y集合编号。p[x]=y\n优化:路径压缩,先搜索一遍,再将节点的父节点直接指向树根\n(1)朴素并查集:\n\n int p[N]; //存储每个点的祖宗节点\n\n // 返回x的祖宗节点+路径压缩\n int find(int x)\n {\n if (p[x] != x) p[x] = find(p[x]);\n return p[x];\n }\n\n // 初始化,假定节点编号是1~n\n for (int i = 1; i <= n; i ++ ) p[i] = i;\n\n // 合并a和b所在的两个集合:\n p[find(a)] = find(b);\n\n\n(2)维护size的并查集:\n\n int p[N], size[N];\n //p[]存储每个点的祖宗节点, size[]只有祖宗节点的有意义,表示祖宗节点所在集合中的点的数量\n\n // 返回x的祖宗节点\n int find(int x)\n {\n if (p[x] != x) p[x] = find(p[x]);\n return p[x];\n }\n\n // 初始化,假定节点编号是1~n\n for (int i = 1; i <= n; i ++ )\n {\n p[i] = i;\n size[i] = 1;\n }\n\n // 合并a和b所在的两个集合:\n size[find(b)] += size[find(a)];\n p[find(a)] = find(b);\n\n\n(3)维护到祖宗节点距离的并查集:\n\n int p[N], d[N];\n //p[]存储每个点的祖宗节点, d[x]存储x到p[x]的距离\n\n // 返回x的祖宗节点\n int find(int x)\n {\n if (p[x] != x)\n {\n int u = find(p[x]);\n d[x] += d[p[x]];\n p[x] = u;\n }\n return p[x];\n }\n\n // 初始化,假定节点编号是1~n\n for (int i = 1; i <= n; i ++ )\n {\n p[i] = i;\n d[i] = 0;\n }\n\n // 合并a和b所在的两个集合:\n p[find(a)] = find(b);\n d[find(a)] = distance; // 根据具体问题,初始化find(a)的偏移量\n【模版】并查集\n食物链\n并查集题单\n 堆\n如何手写一个堆?\n\n插入一个数\n求集合中的最小值\n删除最小值\n删除任意一个元素\n修改任意一个元素\n\nSTL自带堆没有实现\n是一个完全二叉树\n小根堆:根小于等于左右孩子的值\n存储:一维数组,对于iii,左孩子2i2i2i,右孩子2i+12i+12i+1\n借助down(x)down(x)down(x) 与 up(x)up(x)up(x)函数实现上述五种操作\nheap[++size] = x;up(size);\nheap[1]\nheap[1] = heap[size];size--;down(1);\nheap[k] = heap[size];size--;down(k);up(k);\nheap[k] = x;down[k];up[k]\n\n// h[N]存储堆中的值, h[1]是堆顶,x的左儿子是2x, 右儿子是2x + 1\n// ph[k]存储第k个插入的点在堆中的位置\n// hp[k]存储堆中下标是k的点是第几个插入的\nint h[N], ph[N], hp[N], size;\n\n// 交换两个点,及其映射关系\nvoid heap_swap(int a, int b)\n{\n swap(ph[hp[a]],ph[hp[b]]);\n swap(hp[a], hp[b]);\n swap(h[a], h[b]);\n}\n\nvoid down(int u)\n{\n int t = u;\n if (u * 2 <= size && h[u * 2] < h[t]) t = u * 2;\n if (u * 2 + 1 <= size && h[u * 2 + 1] < h[t]) t = u * 2 + 1;\n if (u != t)\n {\n heap_swap(u, t);\n down(t);\n }\n}\n\nvoid up(int u)\n{\n while (u / 2 && h[u] < h[u / 2])\n {\n heap_swap(u, u / 2);\n u >>= 1; // u/=2\n }\n}\n\n// O(n)建堆\nfor (int i = n / 2; i; i -- ) down(i);\n包含映射的堆不常用,在dijkstra算法中应用\n 哈希表\n 存储结构\nO(1)O(1)O(1)将大范围数映射到小范围值域(离散化是特殊的hash方式)\n\nxmod   rangex\\mod\\ rangexmod range\n处理冲突\n\n\n拉链法\n\n创建一维数组存储所有哈希值,若不同元素对应同一个哈希值,则在该值拉链下来(链表)\nint h[N], e[N], ne[N], idx;\n\n // 向哈希表中插入一个数\n void insert(int x)\n {\n int k = (x % N + N) % N; //防止(x % N) 是负数\n e[idx] = x;\n ne[idx] = h[k];\n h[k] = idx ++ ;\n }\n\n // 在哈希表中查询某个数是否存在\n bool find(int x)\n {\n int k = (x % N + N) % N;\n for (int i = h[k]; i != -1; i = ne[i])\n if (e[i] == x)\n return true;\n\n return false;\n }\n\n开放寻址法\n\n只开辟一个一维数组,经验长度为题目范围的2-3倍\n若应该放入的位置已经有元素,则寻找下一个可以存入的位置\nint h[N];\n\n // 如果x在哈希表中,返回x的下标;如果x不在哈希表中,返回x应该插入的位置\n int find(int x)\n {\n int t = (x % N + N) % N;\n while (h[t] != null && h[t] != x)\n {\n t ++ ;\n if (t == N) t = 0; //从头查找\n }\n return t;\n }\n其中null=0x3f3f3f3fnull = 0x3f3f3f3fnull=0x3f3f3f3f\n 字符串哈希\n将字符串看成P进制数,P的经验值是131或13331,取这两个值的冲突概率低\n小技巧:取模的数用2^64,这样直接用unsigned long long存储,溢出的结果就是取模的结果\ntypedef unsigned long long ULL;\nULL h[N], p[N]; // h[k]存储字符串前k个字母的哈希值, p[k]存储 P^k mod 2^64\n\n// 初始化\np[0] = 1;\nfor (int i = 1; i <= n; i ++ )\n{\n h[i] = h[i - 1] * P + str[i]; //前面的值的指数阶都加一,所以要乘以P\n p[i] = p[i - 1] * P;\n}\n\n// 计算子串 str[l ~ r] 的哈希值\nULL get(int l, int r)\n{\n return h[r] - h[l - 1] * p[r - l + 1];\n}\n C++ STL\nvector, 变长数组,倍增的思想\n size() 返回元素个数\n empty() 返回是否为空\n clear() 清空\n front()/back()\n push_back()/pop_back()\n begin()/end()\n []\n 支持比较运算,按字典序\n\npair<int, int>\n first, 第一个元素\n second, 第二个元素\n 支持比较运算,以first为第一关键字,以second为第二关键字(字典序)\n\nstring,字符串\n size()/length() 返回字符串长度\n empty()\n clear()\n substr(起始下标,(子串长度)) 返回子串\n c_str() 返回字符串所在字符数组的起始地址\n\nqueue, 队列\n size()\n empty()\n push() 向队尾插入一个元素\n front() 返回队头元素\n back() 返回队尾元素\n pop() 弹出队头元素\n\npriority_queue, 优先队列,默认是大根堆\n size()\n empty()\n push() 插入一个元素\n top() 返回堆顶元素\n pop() 弹出堆顶元素\n 定义成小根堆的方式:priority_queue<int, vector<int>, greater<int>> q;\n\nstack, 栈\n size()\n empty()\n push() 向栈顶插入一个元素\n top() 返回栈顶元素\n pop() 弹出栈顶元素\n\ndeque, 双端队列\n size()\n empty()\n clear()\n front()/back()\n push_back()/pop_back()\n push_front()/pop_front()\n begin()/end()\n []\n\nset, map, multiset, multimap, 基于平衡二叉树(红黑树),动态维护有序序列\n size()\n empty()\n clear()\n begin()/end()\n ++, -- 返回前驱和后继,时间复杂度 O(logn)\n\n set/multiset\n insert() 插入一个数\n find() 查找一个数\n count() 返回某一个数的个数\n erase()\n (1) 输入是一个数x,删除所有x O(k + logn)\n (2) 输入一个迭代器,删除这个迭代器\n lower_bound()/upper_bound()\n lower_bound(x) 返回大于等于x的最小的数的迭代器\n upper_bound(x) 返回大于x的最小的数的迭代器\n map/multimap\n insert() 插入的数是一个pair\n erase() 输入的参数是pair或者迭代器\n find()\n [] 注意multimap不支持此操作。 时间复杂度是 O(logn)\n lower_bound()/upper_bound()\n\nunordered_set, unordered_map, unordered_multiset, unordered_multimap, 哈希表\n 和上面类似,增删改查的时间复杂度是 O(1)\n 不支持 lower_bound()/upper_bound(), 迭代器的++,--\n\nbitset, 圧位\n bitset<10000> s;\n ~, &, |, ^\n >>, <<\n ==, !=\n []\n\n count() 返回有多少个1\n\n any() 判断是否至少有一个1\n none() 判断是否全为0\n\n set() 把所有位置成1\n set(k, v) 将第k位变成v\n reset() 把所有位变成0\n flip() 等价于~\n flip(k) 把第k位取反\n","categories":["算法"],"tags":[]},{"title":"2023年中闲聊","url":"/2023%E5%B9%B4%E4%B8%AD%E9%97%B2%E8%81%8A/","content":"现在是2023年6月30日\n环境工程的期末考陆陆续续已经考完了,秉承不挂就行的心态\n这学期参加的两个比赛(ACM校内选拔赛+ACM软件外包创新赛)都以失败告终\n还是自己太菜了\n暑假的计划是 考研数据结构 + ACwing算法基础课,准备混一些奖项牌子\n噶油!\n","categories":["闲聊"],"tags":[]},{"title":"算法基础课1-3(杂乱)","url":"/algorithm-1.3/","content":" 双指针算法\n\n两个序列,两个指针\n一个序列,两个指针\n\n结构\nfor(int i=0,j=0;i<n;i++){\n while(j<i && check(i,j)) j++;\n //每道题具体的逻辑\n}\n核心思想\n复杂度由O(n2)O(n^2)O(n2)优化到O(n)O(n)O(n)\n先想出朴素做法,寻找i与j之间的关系,是否有单调性,进行双指针优化\n 位运算\n\nn的二进制表示中第k位数字是几\n\n(k从个位开始算0,1,2…)\n\n先把第k位移到最后一位n>>k\n看个位是几 x&1\n\n​\tn>>k&1\n\nlowbit(x)\n\n​\t树状数组基本操作,返回x的最后一位1\n​\tx&(-x)\n​\t原理:-x=(~x+1)\n 离散化\n这里特指整数离散化\n将值域大,个数少的数组映射到0,1…n的自然数\n①数组中可能有重复元素,需要去重\n②如何求出xxx离散化后的值->二分\nC++模版\nvector<int> alls; // 存储所有待离散化的值\nsort(alls.begin(), alls.end()); // 将所有值排序\nalls.erase(unique(alls.begin(), alls.end()), alls.end()); // 去掉重复元素\n\n// 二分求出x对应的离散化的值\nint find(int x) // 找到第一个大于等于x的位置\n{\n int l = 0, r = alls.size() - 1;\n while (l < r)\n {\n int mid = l + r >> 1;\n if (alls[mid] >= x) r = mid;\n else l = mid + 1;\n }\n return r + 1; // 映射到1, 2, ...n\n}\n由于Java中没有uniqueuniqueunique方法,其中排序与去重的具体实现如下\n// 去重 + 排序 \nList<Integer> distinctSorterAlls = alls.stream().distinct().sorted() .collect(Collectors.toList()); \n 区间合并\n\n\n按照区间左端点排序\n\n\n判断下一个区间与当前区间的关系\n\n相交\n\n更新右端点为两个区间的maxmaxmax\n\n\n不相交\n\n将当前区间更新为不相交的这个区间\n\n\n\n\n\n​\tC++模版\n// 将所有存在交集的区间合并\nvoid merge(vector<PII> &segs)\n{\n vector<PII> res;\n\n sort(segs.begin(), segs.end());\n\n int st = -2e9, ed = -2e9;\n for (auto seg : segs)\n if (ed < seg.first)\n {\n if (st != -2e9) res.push_back({st, ed});\n st = seg.first, ed = seg.second;\n }\n else ed = max(ed, seg.second);\n\n if (st != -2e9) res.push_back({st, ed});\n\n segs = res;\n}\n","categories":["算法"],"tags":[]},{"title":"前缀和与差分算法","url":"/algorithm-prefix-sum-and-difference/","content":" 前缀和与差分\n一对逆运算\n 一维前缀和\n设有一列数据a1,a2,...,an−1,an{a}_1,{a}_2,...,{a}_{n-1},{a}_na1​,a2​,...,an−1​,an​\n定义Si=a1+a2+...+ai{S}_i=a_1+a_2+...+a_iSi​=a1​+a2​+...+ai​\n一般下标从1开始,S0=0S_0=0S0​=0\nSiS_iSi​的初始化: Si=Si−1+aiS_i = S_{i-1}+a_iSi​=Si−1​+ai​\n作用\n快速地求出原数组中一段区间数的和\n对于区间[l,r][l,r][l,r]\n∑i=lrai=Sr−Sl−1\\sum_{i=l}^{r}a_i = S_r-S_{l-1}∑i=lr​ai​=Sr​−Sl−1​\n 二维前缀和\n对于二维数组(矩阵)(a11a12...a1ja21a22...a2j............ai1ai2...aij)\\begin{pmatrix}\n a_{11}& a_{12} & ... & a_{1j}\\\\\n a_{21}& a_{22} & ... & a_{2j} \\\\\n ...& ... & ... & ...\\\\\n a_{i1}& a_{i2} & ... & a_{ij}\n\\end{pmatrix}⎝⎜⎜⎜⎛​a11​a21​...ai1​​a12​a22​...ai2​​............​a1j​a2j​...aij​​⎠⎟⎟⎟⎞​\nSijS_{ij}Sij​代表aija_{ij}aij​左上角的所有元素和\n\n\n对于点(i,j)(i,j)(i,j),其二维前缀和SijS_{ij}Sij​的初始化\nSij=Si−1,j+Si,j−1−Si−1,j−1+ai,jS_{ij}=S_{i-1,j}+S_{i,j-1}-S_{i-1,j-1}+a_{i,j}Sij​=Si−1,j​+Si,j−1​−Si−1,j−1​+ai,j​\n\n\n设点(x1,y1)(x_1,y_1)(x1​,y1​)在(x2,y2)(x_2,y_2)(x2​,y2​)的左上角,则两点围成的矩形中所有元素和\nS=Sx2,y2−Sx2,y1−1−Sx1−1,y2+Sx1−1,y1−1S=S_{x_2,y_2}-S_{x_2,y_1-1}-S_{x_1-1,y_2}+S_{x_1-1,y_1-1}S=Sx2​,y2​​−Sx2​,y1​−1​−Sx1​−1,y2​​+Sx1​−1,y1​−1​\n\n\n 一维差分\n对一列数据a1,a2,a3,...,aia_1,a_2,a_3,...,a_ia1​,a2​,a3​,...,ai​\n构造b1,b2,b3,...,bib_1,b_2,b_3,...,b_ib1​,b2​,b3​,...,bi​使得ai=b1+b2+...+bia_i=b_1+b_2+...+b_iai​=b1​+b2​+...+bi​\n即aaa为bbb的前缀和,bbb就是aaa的差分\n{b1=a1b2=a2−a1b3=a3−a2......bn=an−an−1\\left\\{\\begin{matrix}\nb_1=a_1\\\\\nb_2=a_2-a_1\\\\\nb_3=a_3-a_2\\\\\n ......\\\\\nb_n=a_n-a_{n-1}\n\\end{matrix}\\right.⎩⎪⎪⎪⎪⎪⎨⎪⎪⎪⎪⎪⎧​b1​=a1​b2​=a2​−a1​b3​=a3​−a2​......bn​=an​−an−1​​\n作用\n若要把a1,a2,a3,...,aia_1,a_2,a_3,...,a_ia1​,a2​,a3​,...,ai​中[l,r][l,r][l,r]区间的aaa加ccc\n只需要使bl+=c,br+1−=cb_l+=c,b_{r+1}-=cbl​+=c,br+1​−=c\n模版\nimport java.util.Scanner;\n\npublic class Diff {\n public static void main(String[] args) {\n\n Scanner scanner = new Scanner(System.in);\n\n // 给出n数组大小和k增加次数\n int n = scanner.nextInt();\n int k = scanner.nextInt();\n\n // 搭建数组\n int[] arr = new int[n+1];\n int[] brr = new int[n+1];\n\n // 为arr赋值\n for (int i = 1; i < n+1; i++) {\n arr[i] = scanner.nextInt();\n }\n\n // 为brr赋值\n for (int i = 1; i < n+1; i++){\n brr[i] = arr[i] - arr[i-1];\n }\n\n while (k-- > 0){\n // 我们为arr的[l,r]区间加上c\n int l = scanner.nextInt();\n int r = scanner.nextInt();\n int c = scanner.nextInt();\n\n brr[l] += c;\n brr[r+1] -= c;\n }\n\n // 计算输出结果即可(这里输出的需要是由b累计出来的a)\n // 也可以使用注释代码,最后输出arr即可\n for (int i = 1; i < n+1; i++) {\n brr[i] += brr[i-1];\n //arr[i] = brr[i]+arr[i-1];\n }\n\n // 最后输出结果\n for (int i = 1; i < n+1; i++) {\n System.out.println(brr[i]);\n }\n\n }\n}\n 二维差分\n原矩阵aija_{ij}aij​,差分矩阵bijb_{ij}bij​\nbx1,y1+=cb_{x1,y1}+=cbx1,y1​+=c\nbx2+1,y−=cb_{x2+1,y}-=cbx2+1,y​−=c\nbx1,y2+1−=cb_{x1,y2+1}-=cbx1,y2+1​−=c\nbx2+1,y2+1+=cb_{x2+1,y2+1}+=cbx2+1,y2+1​+=c\n","categories":["算法"],"tags":[]},{"title":"高精度算法","url":"/algorithm-high-precision/","content":"JavaJavaJava中使用BigIntegerBigIntegerBigInteger和BigDecimalBigDecimalBigDecimal类实现\nC++C++C++模版\n\n高精度加法\n\n// C = A + B, A >= 0, B >= 0\nvector<int> add(vector<int> &A, vector<int> &B)\n{\n if (A.size() < B.size()) return add(B, A);\n\n vector<int> C;\n int t = 0;\n for (int i = 0; i < A.size(); i ++ )\n {\n t += A[i];\n if (i < B.size()) t += B[i];\n C.push_back(t % 10);\n t /= 10;\n }\n\n if (t) C.push_back(t);\n return C;\n}\n\n高精度减法\n\n// C = A - B, 满足A >= B, A >= 0, B >= 0\nvector<int> sub(vector<int> &A, vector<int> &B)\n{\n vector<int> C;\n for (int i = 0, t = 0; i < A.size(); i ++ )\n {\n t = A[i] - t;\n if (i < B.size()) t -= B[i];\n C.push_back((t + 10) % 10);\n if (t < 0) t = 1;\n else t = 0;\n }\n\n while (C.size() > 1 && C.back() == 0) C.pop_back();\n return C;\n}\n\n高精度乘低精度\n\n// C = A * b, A >= 0, b >= 0\nvector<int> mul(vector<int> &A, int b)\n{\n vector<int> C;\n\n int t = 0;\n for (int i = 0; i < A.size() || t; i ++ )\n {\n if (i < A.size()) t += A[i] * b;\n C.push_back(t % 10);\n t /= 10;\n }\n\n while (C.size() > 1 && C.back() == 0) C.pop_back();\n\n return C;\n}\n\n高精度除以低精度\n\n// A / b = C ... r, A >= 0, b > 0\nvector<int> div(vector<int> &A, int b, int &r)\n{\n vector<int> C;\n r = 0;\n for (int i = A.size() - 1; i >= 0; i -- )\n {\n r = r * 10 + A[i];\n C.push_back(r / b);\n r %= b;\n }\n reverse(C.begin(), C.end());\n while (C.size() > 1 && C.back() == 0) C.pop_back();\n return C;\n}\n\n高精度乘以高精度\n\ncin>>a1>>b1;\n int lena=strlen(a1);\nint lenb=strlen(b1);\n for(i=1;i<=lena;i++)a[i]=a1[lena-i]-'0';\n for(i=1;i<=lenb;i++)b[i]=b1[lenb-i]-'0';\nfor(i=1;i<=lenb;i++)\n\tfor(j=1;j<=lena;j++)\n\t\tc[i+j-1]+=a[j]*b[i];\n for(i=1;i<lena+lenb;i++)\n\tif(c[i]>9)\n\t{\n\t\tc[i+1]+=c[i]/10;\n\t\tc[i]%=10;\n\t}\nlen=lena+lenb;\n while(c[len]==0&&len>1)len--;\nA+B Problem(高精)\nA*B Problem(高精)\n","categories":["算法"],"tags":[]},{"title":"排序算法","url":"/algorithm-sort/","content":" 快速排序\n分治思想,时间复杂度$O(nlogn)-O(n^2) $\n期望时间复杂度O(nlogn)O(nlogn)O(nlogn)\n\n\n数组中找一个值xxx作为分界点(可以是arr[l]arr\\left [ l \\right ]arr[l] ,arr[r]arr\\left [ r \\right ]arr[r],arr[l+r2]arr\\left [ \\frac{l+r}{2} \\right ]arr[2l+r​] 等等…)\n\n\n调整区间,使得左边的区间所有数≤\\le≤x,右边区间所有数>>>x\n\n定义两个指针分别在左右边界\niii不断右移,直到遇到arr[i]arr[i]arr[i] >x>x>x,就停下\njjj不断左移,直到遇到arr[j]≤xarr[j]\\le xarr[j]≤x,就停下\n交换arr[i]arr[i]arr[i]与arr[j]arr[j]arr[j]\n\n\n\n递归处理左右区间\n\n\n模版\npublic static void quick_sort(int q[], int l, int r){\n if (l >= r) return;\n int i = l - 1, j = r + 1, x = q[l + r >> 1];\n while (i < j){\n do i ++ ; while (q[i] < x);\n do j -- ; while (q[j] > x);\n if (i < j) {\n int t = q[i];\n q[i] = q[j];\n q[j] = t; \n }\n }\n quick_sort(q, l, j);\n quick_sort(q, j + 1, r);\n}\n 归并排序\n分治思想,O(nlogn)O(nlogn)O(nlogn)\n\n\n确定分界点 mid=l+r2mid = \\frac{l+r}{2}mid=2l+r​\n\n\n递归排序leftleftleft和rightrightright\n\n\n归并:合二为一\n\n双指针指向leftleftleft和rightrightright的第一个元素\n创建一个空数组resresres存放结果\n指针比较,如果left[i]<right[j]left[i]<right[j]left[i]<right[j],则把left[i]left[i]left[i]放入resresres,iii向后移动一位,继续比较\n如果left[i]=right[j]left[i]=right[j]left[i]=right[j],则把left[i]left[i]left[i]放入resresres,以维持稳定\n\n\n\n模版\npublic static void merge_sort(int q[], int l, int r){\n if (l >= r) return;\n int mid = l + r >> 1;\n\n merge_sort(q, l, mid);\n merge_sort(q, mid + 1, r);\n\n int k = 0, i = l, j = mid + 1;\n\n while (i <= mid && j <= r)\n if (q[i] < q[j]) tmp[k ++ ] = q[i ++ ];\n else tmp[k ++ ] = q[j ++ ];\n\n while (i <= mid) tmp[k ++ ] = q[i ++ ];\n while (j <= r) tmp[k ++ ] = q[j ++ ];\n\n for (i = l, j = 0; i <= r; i ++, j ++ ) q[i] = tmp[j];\n}\n","categories":["算法"],"tags":[]},{"title":"二分查找与二分答案算法","url":"/algorithm-two-divided/","content":" 整数二分\n提示信息\n\n题目保证有解\n单调性\n求最大值的最小化\n\n思路\n对于区间[l,r][l,r][l,r],其中一部分满足条件check(x)=truecheck(x)=truecheck(x)=true,另一部分不满足\n\n对于寻找不满足区间的边界\n\nmid=l+r+12mid = \\frac{l+r+1}{2}mid=2l+r+1​\n若check(mid)=truecheck(mid)=truecheck(mid)=true 则说明边界值在[mid,r][mid,r][mid,r]\n更新语句为l=midl = midl=mid\n若check(mid)=falsecheck(mid)=falsecheck(mid)=false 则说明边界值在[l,mid−1][l,mid-1][l,mid−1]\n更新语句为r=mid−1r = mid-1r=mid−1\n\n对于寻找满足区间的边界\n\nmid=l+r2mid = \\frac{l+r}{2}mid=2l+r​\n若check(mid)=truecheck(mid)=truecheck(mid)=true 则说明边界值在[l,mid][l,mid][l,mid]\n更新语句为r=midr = midr=mid\n若check(mid)=falsecheck(mid)=falsecheck(mid)=false 则说明边界值在[mid+1,r][mid+1,r][mid+1,r]\n更新语句为l=mid+1l=mid+1l=mid+1\n模版\npublic static boolean check(int x) {/* ... */} // 检查x是否满足某种性质\n\n// 区间[l, r]被划分成[l, mid]和[mid + 1, r]时使用:\npublic static int bsearch_1(int l, int r)\n{\n while (l < r)\n {\n int mid = l + r >> 1;\n if (check(mid)) r = mid; // check()判断mid是否满足性质\n else l = mid + 1;\n }\n return l;\n}\n// 区间[l, r]被划分成[l, mid - 1]和[mid, r]时使用:\npublic static int bsearch_2(int l, int r)\n{\n while (l < r)\n {\n int mid = l + r + 1 >> 1;\n if (check(mid)) l = mid;\n else r = mid - 1;\n }\n return l;\n}\n如果l=midl=midl=mid ,最开始的midmidmid就要补上+1+1+1\n题目参考\n冶炼金属\n垦天计划\n 浮点数二分\npublic static boolean check(double x) {/* ... */} // 检查x是否满足某种性质\n\ndouble bsearch_3(double l, double r)\n{\n final double eps = 1e-6; \n // eps 表示精度,取决于题目对精度的要求\n //比需要保留的位数多2\n while (r - l > eps)\n {\n double mid = (l + r) / 2;\n if (check(mid)) r = mid;\n else l = mid;\n }\n return l;\n}\n精度比需要保留的位数多-2次方\n可以把whilewhilewhile循环直接换成for100次\n","categories":["算法"],"tags":[]},{"title":"HelloWorld","url":"/HelloWorld/","content":"把原来的一些杂乱的学习笔记都删了\n因为我觉得博客应该是记录一些自己的想法,而不是生抄别人的博客或者代码\n\n测试一下图片\npublic class Main{\n public static void init(){\n return;\n }\n}\n测试一下代码块\n咕咕咕\n","categories":["闲聊"],"tags":[]}] \ No newline at end of file diff --git a/tags/index.html b/tags/index.html deleted file mode 100644 index fef1189..0000000 --- a/tags/index.html +++ /dev/null @@ -1,838 +0,0 @@ - - - - - - - - - - 标签 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
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    首先配置Node.jsNode.js环境,然后

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    目录

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    1. 1. 代码风格
    2. 2. 准备工作
    3. 3. 文件目录
    4. 4. 模版语法
    5. 5. 属性绑定
    6. 6. 条件渲染
    7. 7. 列表渲染
    8. 8. 通过key管理状态
    9. 9. 事件处理
    10. 10. 事件参数
    11. 11. 事件修饰符
    12. 12. 数组变化侦测
    13. 13. 计算属性
    14. 14. Class绑定
    15. 15. Style绑定
    16. 16. 侦听器
    17. 17. 表单输入绑定
    18. 18. 模版引用
    19. 19. 组件组成
    20. 20. 组件嵌套关系
    21. 21. 组件注册方式
    22. 22. 组件传递数据-Props
    23. 23. 组件传递多种数据类型
    24. 24. 组件传递Props效验
    25. 25. 组件事件
    26. 26. 组件事件配合v-model
    27. 27. 组件数据传递
    28. 28. 透传Attribute
    29. 29. 插槽Slots
    30. 30. 组件生命周期
    31. 31. 生命周期应用
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    33. 33. 组件保持存活
    34. 34. 异步组件
    35. 35. 依赖注入
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    代码风格

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    Vue2选项式API

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    首先配置$Node.js$环境然后

    npm init vue@latest

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    执行npm install

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    node_modules 依赖文件夹

    public 资源文件夹

    src 源码文件夹

    index.html 入口HTML文件

    package.json 信息描述文件

    vite.config.js Vue配置文件

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    {{msg}}其中可以使用$JavaScrpit$表达式

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    文本的绑定使用{{}}绑定,而属性(id、class等)的绑定使用v-bind

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    文本的绑定使用{{}}绑定而属性idclass等的绑定使用v-bind

    <div v-bind:id="ID" v-bind:class="MyClass">
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    v-if:如果初次渲染时为false就不会被渲染有较高的切换开销

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    v-show:无论初始值如何都会被渲染后续根据CSS的display属性切换有较高的初始渲染开销

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    通过key管理状态

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    • 内联事件处理器:内联JS语句
    • -
    • 方法事件处理器:指向方法
    • +
    • 内联事件处理器内联JS语句
    • +
    • 方法事件处理器指向方法
    -

    事件参数

    +

    事件参数

    在方法中传递参数到事件中

    add(count){
     	this.num += count;
     }

    传递$event获取JS的event对象

    -

    事件修饰符

    +

    事件修饰符

    简化代码

    文档

    <!-- 阻止单击事件继续传播 -->
    @@ -586,29 +171,29 @@ 

    然后才交由内部元素进行处理 --> <div v-on:click.capture="doThis">...</div> <!-- 只当在 event.target 是当前元素自身时触发处理函数 --> <!-- 即事件不是从内部元素触发的 --> <div v-on:click.self="doThat">...</div>

    -

    数组变化侦测

    +

    数组变化侦测

    • 变更方法
    -

    UI发生更新,原数组发生改变更新

    -

    push()、pop()、shift()、unshift()、sort()、reverse()

    +

    UI发生更新原数组发生改变更新

    +

    push()pop()shift()unshift()sort()reverse()

    • 替换一个数组
    -

    UI不发生更新,赋值到的是新数组

    -

    concat()、filter()、slice()

    -

    计算属性

    +

    UI不发生更新赋值到的是新数组

    +

    concat()filter()slice()

    +

    计算属性

    描述依赖响应式状态的复杂逻辑

    -

    computed,方法中进行计算属性

    -

    具有缓存,所以性能优于常规方法调用

    -

    Class绑定

    -

    vue中对于class的v-bind得到加强,表达式除了字符串以外,还可以是数组或者对象

    +

    computed方法中进行计算属性

    +

    具有缓存所以性能优于常规方法调用

    +

    Class绑定

    +

    vue中对于class的v-bind得到加强表达式除了字符串以外还可以是数组或者对象

    //template:
     <p :class="classObject">
         Class样式绑定
    @@ -627,8 +212,8 @@ 

    Class .danger{ color:red }

    -

    Style绑定

    -

    vue中对于style的v-bind得到加强,表达式除了字符串以外,还可以是数组或者对象

    +

    Style绑定

    +

    vue中对于style的v-bind得到加强表达式除了字符串以外还可以是数组或者对象

    //template:
     <p :style:"styleObject">
         Style样式绑定
    @@ -639,55 +224,55 @@ 

    Style activeColor: red, activeSize: 30 }

    -

    侦听器

    +

    侦听器

    使用watch选项在每次响应式属性发生变化时触发一个函数

    //data:
     message: "Hello"
     
     //watch:
     message(newValue,oldValue){
    -	//数据发生变化,自动执行方法
    +	//数据发生变化自动执行方法
     	console.log("new=>"+newValue);
     	console.log("old=>"+oldValue);
     }

    注意watch的方法名必须和data中数据变量名一致

    -

    表单输入绑定

    +

    表单输入绑定

    v-model

    将表单输入和响应式属性进行双向绑定

    -

    提供修饰符.lazy .number .trim,对输入进行过滤

    +

    提供修饰符.lazy .number .trim对输入进行过滤

    .lazy 失去焦点才绑定

    .number 只接受数字

    .trim 去除前后空格

    -

    模版引用

    +

    模版引用

    一般来说

    -

    内容改变:

    -

    属性改变: v-bind: 指令

    -

    事件: v-on:click

    -

    若要访问一些底层的DOM元素,可以使用ref

    +

    内容改变

    +

    属性改变 v-bind: 指令

    +

    事件 v-on:click

    +

    若要访问一些底层的DOM元素可以使用ref

    <div ref:"container">
         {{ content }}
     </div>
     
     this.$refs.container.属性
    -

    如果没有特殊需求,不要使用ref,比较消耗性能

    -

    组件组成

    +

    如果没有特殊需求不要使用ref比较消耗性能

    +

    组件组成

    组件的最大优势就是可复用性

    定义在.vue文件中

    -

    组件构成:template,script,style

    -

    引用:

    +

    组件构成template,script,style

    +

    引用

    1. 在script中import
    2. 在component中注入组件
    3. 在template以标签形式显示组件
    -

    对于一个组件,必须存在template,其他可以没有

    -

    style中scoped属性表示:让当前样式只在当前组件中生效

    -

    组件嵌套关系

    +

    对于一个组件必须存在template其他可以没有

    +

    style中scoped属性表示让当前样式只在当前组件中生效

    +

    组件嵌套关系

    null

    -

    组件注册方式

    +

    组件注册方式

    全局注册和局部注册

    全局注册

    -

    main.js中,

    +

    main.js

    import Header from ".....";
     const app = createApp(App);
     //在这个中间
    @@ -701,21 +286,21 @@ 

    组件传递数据-Props

    +

    组件传递数据-Props

    使用props进行组件之间的数据传递

    <Child title="数据"/>

    Child.vue

    props:["title"]

    即可获取title的数据值{{title}}

    -

    也可以结合v-bind,即

    +

    也可以结合v-bind

    <Child :title="message"/>
     
     data():
     	message: xxx
    -

    注意事项:props传递数据只能从父级到子级,不能反其道而行。

    -

    组件传递多种数据类型

    -

    此外,props还能传递除了字符串以外的数据类型,例如数字,数组,对象等

    -

    组件传递Props效验

    +

    注意事项props传递数据只能从父级到子级不能反其道而行

    +

    组件传递多种数据类型

    +

    此外props还能传递除了字符串以外的数据类型例如数字数组对象等

    +

    组件传递Props效验

    props{
     	title{
     		type: String,
    @@ -726,16 +311,16 @@ 

    -

    如果是数组或者对象,default就需要以函数形式写出来

    +

    如果是数组或者对象default就需要以函数形式写出来

    names{
     	type:Array,
     	default(){
     		return xxx;
     	}
     }
    -

    Props是只读的,不允许进行修改父元素传递过来的数据

    -

    组件事件

    -

    $emit触发自定义事件,达到组件之间的数据传递

    +

    Props是只读的不允许进行修改父元素传递过来的数据

    +

    组件事件

    +

    $emit触发自定义事件达到组件之间的数据传递

    在子级元素中this.$emit(“someEvent”,data)

    即可在父元素中

    <Child @someEvent="getData" />
    @@ -744,17 +329,17 @@ 

    组 getData(data){ console.log(data); }

    -

    父传子:props

    -

    子传父:$emit

    -

    组件事件配合v-model

    +

    父传子props

    +

    子传父$emit

    +

    组件事件配合v-model

    在侦听器watch中进行$emit传递v-model数据的newValue

    -

    组件数据传递

    +

    组件数据传递

    props实现子传父

    将传递的数据类型设置为Function

    -

    透传Attribute

    +

    透传Attribute

    ×

    -

    插槽Slots

    -

    为子组件传递一些模版片段,在子组件中渲染这些片段

    +

    插槽Slots

    +

    为子组件传递一些模版片段在子组件中渲染这些片段

    App.vue中

    <template>
     	<SlotA>
    @@ -776,10 +361,10 @@ 

    插槽内容可以访问到父组件的数据域

  • -

    在没有传递插槽内容情况下,可以设置插槽的默认内容

    +

    在没有传递插槽内容情况下可以设置插槽的默认内容

  • -

    具名插槽:

    +

    具名插槽

  • 在插槽中设定

    @@ -793,8 +378,8 @@

    <slot name="main"></slot>

    选定具体需要的内容

    其中v-slot可以简写为#

    -

    组件生命周期

    -

    创建期,挂载期,更新期,销毁期

    +

    组件生命周期

    +

    创建期挂载期更新期销毁期

    beforeCreate 组件创建之前

    created 组件创建之后

    beforeMount 组件渲染之前

    @@ -803,7 +388,7 @@

    生命周期应用

    +

    生命周期应用

    • 通过ref获取DOM结构
    @@ -812,22 +397,22 @@

    动态组件

    +

    动态组件

    <component :is="ComponentData"></component>
    -

    组件保持存活

    -

    使用动态组件切换组件时,被切换的组件会被卸载。使用<keep-alive>强制使组件保持存活

    +

    组件保持存活

    +

    使用动态组件切换组件时被切换的组件会被卸载使用<keep-alive>强制使组件保持存活

    <keep-alive>
     	<component :is="ComponentData"></component>
     </keep-alive>
    -

    保持存活,不会被卸载 ,数据不会被重新初始化

    -

    异步组件

    +

    保持存活不会被卸载 数据不会被重新初始化

    +

    异步组件

    <script>
         import defineAsyncComponent from 'vue'
         const ComponentB = defineAsyncComponent(()=>{
             import("/ComponentB.vue")
         })
     </script>
    -

    依赖注入

    +

    依赖注入

    props逐级透传可以用provideinject解决

    上级组件

    provide{
    @@ -843,297 +428,134 @@ 

    子级组件

    inject:["msg"]

    即可获取msg内容{{msg}}

    -

    只能由上到下,不能反向传递

    +

    只能由上到下不能反向传递

    可以在main.js提供全局数据

    app.provide("global","123")
    -

    Vue应用

    -

    应用实例

    +

    Vue应用

    +

    应用实例

    每一个vue应用都是通过createApp函数创建

    import {createApp} from 'vue'
     const app = createApp({
     	//根组件选项
     })
    -

    一个Vue项目中,有且只有一个Vue实例对象

    -

    根组件

    +

    一个Vue项目中有且只有一个Vue实例对象

    +

    根组件

    import App from './App.vue'
    const app = createApp(App);
    -

    挂载应用

    -

    应用实例调用了.mount()才能渲染出来,该方法接受一个容器参数

    +

    挂载应用

    +

    应用实例调用了.mount()才能渲染出来该方法接受一个容器参数

    app.mount('#app')
    <div id="app"></div>
    -

    公共资源

    -

    位于.assets下存放公共资源,包括css文件,图片,字体等

    +

    公共资源

    +

    位于.assets下存放公共资源包括css文件图片字体等

    -
    -
    - -
    -
    - -
    - - - - -
    -
    -
    - - - - - - - - - - - - - - - - - - - - - - - +
    + +
    + +
    +
    + + - - - - - - + + + + + + + + + + + + + - - - - - - - - - - - - - - - - - + + + + + \ No newline at end of file