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implot3d.cpp
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//--------------------------------------------------
// ImPlot3D v0.1
// implot3d.cpp
// Date: 2024-11-16
// Author: Breno Cunha Queiroz (brenocq.com)
//
// Acknowledgments:
// ImPlot3D is heavily inspired by ImPlot
// (https://github.com/epezent/implot) by Evan Pezent,
// and follows a similar code style and structure to
// maintain consistency with ImPlot's API.
//--------------------------------------------------
// Table of Contents:
// [SECTION] Includes
// [SECTION] Macros
// [SECTION] Context
// [SECTION] Text Utils
// [SECTION] Legend Utils
// [SECTION] Mouse Position Utils
// [SECTION] Plot Box Utils
// [SECTION] Formatter
// [SECTION] Locator
// [SECTION] Context Menus
// [SECTION] Begin/End Plot
// [SECTION] Setup
// [SECTION] Plot Utils
// [SECTION] Setup Utils
// [SECTION] Miscellaneous
// [SECTION] Styles
// [SECTION] Colormaps
// [SECTION] Context Utils
// [SECTION] Style Utils
// [SECTION] ImPlot3DPoint
// [SECTION] ImPlot3DBox
// [SECTION] ImPlot3DRange
// [SECTION] ImPlot3DQuat
// [SECTION] ImDrawList3D
// [SECTION] ImPlot3DAxis
// [SECTION] ImPlot3DPlot
// [SECTION] ImPlot3DStyle
//-----------------------------------------------------------------------------
// [SECTION] Includes
//-----------------------------------------------------------------------------
#ifndef IMGUI_DEFINE_MATH_OPERATORS
#define IMGUI_DEFINE_MATH_OPERATORS
#endif
#include "implot3d.h"
#include "implot3d_internal.h"
#ifndef IMGUI_DISABLE
//-----------------------------------------------------------------------------
// [SECTION] Macros
//-----------------------------------------------------------------------------
#define IMPLOT3D_CHECK_CTX() IM_ASSERT_USER_ERROR(GImPlot3D != nullptr, "No current context. Did you call ImPlot3D::CreateContext() or ImPlot3D::SetCurrentContext()?")
#define IMPLOT3D_CHECK_PLOT() IM_ASSERT_USER_ERROR(GImPlot3D->CurrentPlot != nullptr, "No active plot. Did you call ImPlot3D::BeginPlot()?")
//-----------------------------------------------------------------------------
// [SECTION] Context
//-----------------------------------------------------------------------------
namespace ImPlot3D {
// Global ImPlot3D context
#ifndef GImPlot3D
ImPlot3DContext* GImPlot3D = nullptr;
#endif
static ImPlot3DQuat init_rotation = ImPlot3DQuat(-0.513269f, -0.212596f, -0.318184f, 0.76819f);
ImPlot3DContext* CreateContext() {
ImPlot3DContext* ctx = IM_NEW(ImPlot3DContext)();
if (GImPlot3D == nullptr)
SetCurrentContext(ctx);
InitializeContext(ctx);
return ctx;
}
void DestroyContext(ImPlot3DContext* ctx) {
if (ctx == nullptr)
ctx = GImPlot3D;
if (GImPlot3D == ctx)
SetCurrentContext(nullptr);
IM_DELETE(ctx);
}
ImPlot3DContext* GetCurrentContext() { return GImPlot3D; }
void SetCurrentContext(ImPlot3DContext* ctx) { GImPlot3D = ctx; }
//-----------------------------------------------------------------------------
// [SECTION] Text Utils
//-----------------------------------------------------------------------------
void AddTextRotated(ImDrawList* draw_list, ImVec2 pos, float angle, ImU32 col, const char* text_begin, const char* text_end) {
if (!text_end)
text_end = text_begin + strlen(text_begin);
ImGuiContext& g = *GImGui;
ImFont* font = g.Font;
// Align to be pixel perfect
pos = ImFloor(pos);
const float scale = g.FontSize / font->FontSize;
// Measure the size of the text in unrotated coordinates
ImVec2 text_size = font->CalcTextSizeA(g.FontSize, FLT_MAX, 0.0f, text_begin, text_end, nullptr);
// Precompute sine and cosine of the angle (note: angle should be positive for rotation in ImGui)
float cos_a = cosf(-angle);
float sin_a = sinf(-angle);
const char* s = text_begin;
int chars_total = (int)(text_end - s);
int chars_rendered = 0;
const int vtx_count_max = chars_total * 4;
const int idx_count_max = chars_total * 6;
draw_list->PrimReserve(idx_count_max, vtx_count_max);
// Adjust pen position to center the text
ImVec2 pen = ImVec2(-text_size.x * 0.5f, -text_size.y * 0.5f);
while (s < text_end) {
unsigned int c = (unsigned int)*s;
if (c < 0x80) {
s += 1;
} else {
s += ImTextCharFromUtf8(&c, s, text_end);
if (c == 0) // Malformed UTF-8?
break;
}
const ImFontGlyph* glyph = font->FindGlyph((ImWchar)c);
if (glyph == nullptr) {
continue;
}
// Glyph dimensions and positions
ImVec2 glyph_offset = ImVec2(glyph->X0, glyph->Y0) * scale;
ImVec2 glyph_size = ImVec2(glyph->X1 - glyph->X0, glyph->Y1 - glyph->Y0) * scale;
// Corners of the glyph quad in unrotated space
ImVec2 corners[4];
corners[0] = pen + glyph_offset;
corners[1] = pen + glyph_offset + ImVec2(glyph_size.x, 0);
corners[2] = pen + glyph_offset + glyph_size;
corners[3] = pen + glyph_offset + ImVec2(0, glyph_size.y);
// Rotate and translate the corners
for (int i = 0; i < 4; i++) {
float x = corners[i].x;
float y = corners[i].y;
corners[i].x = x * cos_a - y * sin_a + pos.x;
corners[i].y = x * sin_a + y * cos_a + pos.y;
}
// Texture coordinates
ImVec2 uv0 = ImVec2(glyph->U0, glyph->V0);
ImVec2 uv1 = ImVec2(glyph->U1, glyph->V1);
// Render the glyph quad
draw_list->PrimQuadUV(corners[0], corners[1], corners[2], corners[3],
uv0, ImVec2(glyph->U1, glyph->V0),
uv1, ImVec2(glyph->U0, glyph->V1),
col);
// Advance the pen position
pen.x += glyph->AdvanceX * scale;
chars_rendered++;
}
// Return unused vertices
int chars_skipped = chars_total - chars_rendered;
draw_list->PrimUnreserve(chars_skipped * 6, chars_skipped * 4);
}
void AddTextCentered(ImDrawList* draw_list, ImVec2 top_center, ImU32 col, const char* text_begin) {
const char* text_end = ImGui::FindRenderedTextEnd(text_begin);
ImVec2 text_size = ImGui::CalcTextSize(text_begin, text_end, true);
draw_list->AddText(ImVec2(top_center.x - text_size.x * 0.5f, top_center.y), col, text_begin, text_end);
}
//-----------------------------------------------------------------------------
// [SECTION] Legend Utils
//-----------------------------------------------------------------------------
ImVec2 GetLocationPos(const ImRect& outer_rect, const ImVec2& inner_size, ImPlot3DLocation loc, const ImVec2& pad) {
ImVec2 pos;
// Legend x coordinate
if (ImPlot3D::ImHasFlag(loc, ImPlot3DLocation_West) && !ImPlot3D::ImHasFlag(loc, ImPlot3DLocation_East))
pos.x = outer_rect.Min.x + pad.x;
else if (!ImPlot3D::ImHasFlag(loc, ImPlot3DLocation_West) && ImPlot3D::ImHasFlag(loc, ImPlot3DLocation_East))
pos.x = outer_rect.Max.x - pad.x - inner_size.x;
else
pos.x = outer_rect.GetCenter().x - inner_size.x * 0.5f;
// Legend y coordinate
if (ImPlot3D::ImHasFlag(loc, ImPlot3DLocation_North) && !ImPlot3D::ImHasFlag(loc, ImPlot3DLocation_South))
pos.y = outer_rect.Min.y + pad.y;
else if (!ImPlot3D::ImHasFlag(loc, ImPlot3DLocation_North) && ImPlot3D::ImHasFlag(loc, ImPlot3DLocation_South))
pos.y = outer_rect.Max.y - pad.y - inner_size.y;
else
pos.y = outer_rect.GetCenter().y - inner_size.y * 0.5f;
pos.x = IM_ROUND(pos.x);
pos.y = IM_ROUND(pos.y);
return pos;
}
ImVec2 CalcLegendSize(ImPlot3DItemGroup& items, const ImVec2& pad, const ImVec2& spacing, bool vertical) {
const int nItems = items.GetLegendCount();
const float txt_ht = ImGui::GetTextLineHeight();
const float icon_size = txt_ht;
// Get label max width
float max_label_width = 0;
float sum_label_width = 0;
for (int i = 0; i < nItems; i++) {
const char* label = items.GetLegendLabel(i);
const float label_width = ImGui::CalcTextSize(label, nullptr, true).x;
max_label_width = label_width > max_label_width ? label_width : max_label_width;
sum_label_width += label_width;
}
// Compute legend size
const ImVec2 legend_size = vertical ? ImVec2(pad.x * 2 + icon_size + max_label_width, pad.y * 2 + nItems * txt_ht + (nItems - 1) * spacing.y) : ImVec2(pad.x * 2 + icon_size * nItems + sum_label_width + (nItems - 1) * spacing.x, pad.y * 2 + txt_ht);
return legend_size;
}
void ShowLegendEntries(ImPlot3DItemGroup& items, const ImRect& legend_bb, bool hovered, const ImVec2& pad, const ImVec2& spacing, bool vertical, ImDrawList& draw_list) {
const float txt_ht = ImGui::GetTextLineHeight();
const float icon_size = txt_ht;
const float icon_shrink = 2;
ImU32 col_txt = GetStyleColorU32(ImPlot3DCol_LegendText);
ImU32 col_txt_dis = ImAlphaU32(col_txt, 0.25f);
float sum_label_width = 0;
const int num_items = items.GetLegendCount();
if (num_items == 0)
return;
ImPlot3DContext& gp = *GImPlot3D;
// Render legend items
for (int i = 0; i < num_items; i++) {
const int idx = i;
ImPlot3DItem* item = items.GetLegendItem(idx);
const char* label = items.GetLegendLabel(idx);
const float label_width = ImGui::CalcTextSize(label, nullptr, true).x;
const ImVec2 top_left = vertical ? legend_bb.Min + pad + ImVec2(0, i * (txt_ht + spacing.y)) : legend_bb.Min + pad + ImVec2(i * (icon_size + spacing.x) + sum_label_width, 0);
sum_label_width += label_width;
ImRect icon_bb;
icon_bb.Min = top_left + ImVec2(icon_shrink, icon_shrink);
icon_bb.Max = top_left + ImVec2(icon_size - icon_shrink, icon_size - icon_shrink);
ImRect label_bb;
label_bb.Min = top_left;
label_bb.Max = top_left + ImVec2(label_width + icon_size, icon_size);
ImU32 col_txt_hl;
ImU32 col_item = ImAlphaU32(item->Color, 1);
ImRect button_bb(icon_bb.Min, label_bb.Max);
ImGui::KeepAliveID(item->ID);
bool item_hov = false;
bool item_hld = false;
bool item_clk = ImPlot3D::ImHasFlag(items.Legend.Flags, ImPlot3DLegendFlags_NoButtons)
? false
: ImGui::ButtonBehavior(button_bb, item->ID, &item_hov, &item_hld);
if (item_clk)
item->Show = !item->Show;
const bool hovering = item_hov && !ImPlot3D::ImHasFlag(items.Legend.Flags, ImPlot3DLegendFlags_NoHighlightItem);
if (hovering) {
item->LegendHovered = true;
col_txt_hl = ImPlot3D::ImMixU32(col_txt, col_item, 64);
} else {
item->LegendHovered = false;
col_txt_hl = ImGui::GetColorU32(col_txt);
}
ImU32 col_icon;
if (item_hld)
col_icon = item->Show ? ImAlphaU32(col_item, 0.5f) : ImGui::GetColorU32(ImGuiCol_TextDisabled, 0.5f);
else if (item_hov)
col_icon = item->Show ? ImAlphaU32(col_item, 0.75f) : ImGui::GetColorU32(ImGuiCol_TextDisabled, 0.75f);
else
col_icon = item->Show ? col_item : col_txt_dis;
draw_list.AddRectFilled(icon_bb.Min, icon_bb.Max, col_icon);
const char* text_display_end = ImGui::FindRenderedTextEnd(label, nullptr);
if (label != text_display_end)
draw_list.AddText(top_left + ImVec2(icon_size, 0), item->Show ? col_txt_hl : col_txt_dis, label, text_display_end);
}
}
void RenderLegend() {
ImPlot3DContext& gp = *GImPlot3D;
ImPlot3DPlot& plot = *gp.CurrentPlot;
if (ImPlot3D::ImHasFlag(plot.Flags, ImPlot3DFlags_NoLegend) || plot.Items.GetLegendCount() == 0)
return;
ImGuiContext& g = *GImGui;
ImGuiWindow* window = g.CurrentWindow;
ImDrawList* draw_list = window->DrawList;
const ImGuiIO& IO = ImGui::GetIO();
ImPlot3DLegend& legend = plot.Items.Legend;
const bool legend_horz = ImPlot3D::ImHasFlag(legend.Flags, ImPlot3DLegendFlags_Horizontal);
const ImVec2 legend_size = CalcLegendSize(plot.Items, gp.Style.LegendInnerPadding, gp.Style.LegendSpacing, !legend_horz);
const ImVec2 legend_pos = GetLocationPos(plot.PlotRect,
legend_size,
legend.Location,
gp.Style.LegendPadding);
legend.Rect = ImRect(legend_pos, legend_pos + legend_size);
// Test hover
legend.Hovered = legend.Rect.Contains(IO.MousePos);
// Render background
ImU32 col_bg = GetStyleColorU32(ImPlot3DCol_LegendBg);
ImU32 col_bd = GetStyleColorU32(ImPlot3DCol_LegendBorder);
draw_list->AddRectFilled(legend.Rect.Min, legend.Rect.Max, col_bg);
draw_list->AddRect(legend.Rect.Min, legend.Rect.Max, col_bd);
// Render legends
ShowLegendEntries(plot.Items, legend.Rect, legend.Hovered, gp.Style.LegendInnerPadding, gp.Style.LegendSpacing, !legend_horz, *draw_list);
}
//-----------------------------------------------------------------------------
// [SECTION] Mouse Position Utils
//-----------------------------------------------------------------------------
void RenderMousePos() {
ImPlot3DContext& gp = *GImPlot3D;
ImPlot3DPlot& plot = *gp.CurrentPlot;
if (ImPlot3D::ImHasFlag(plot.Flags, ImPlot3DFlags_NoMouseText))
return;
ImVec2 mouse_pos = ImGui::GetMousePos();
ImPlot3DPoint mouse_plot_pos = PixelsToPlotPlane(mouse_pos, ImPlane3D_YZ, true);
if (mouse_plot_pos.IsNaN())
mouse_plot_pos = PixelsToPlotPlane(mouse_pos, ImPlane3D_XZ, true);
if (mouse_plot_pos.IsNaN())
mouse_plot_pos = PixelsToPlotPlane(mouse_pos, ImPlane3D_XY, true);
char buff[IMPLOT3D_LABEL_MAX_SIZE];
if (!mouse_plot_pos.IsNaN()) {
ImGuiTextBuffer builder;
builder.append("(");
for (int i = 0; i < 3; i++) {
ImPlot3DAxis& axis = plot.Axes[i];
if (i > 0)
builder.append(", ");
axis.Formatter(mouse_plot_pos[i], buff, IMPLOT3D_LABEL_MAX_SIZE, axis.FormatterData);
builder.append(buff);
}
builder.append(")");
const ImVec2 size = ImGui::CalcTextSize(builder.c_str());
// TODO custom location/padding
const ImVec2 pos = GetLocationPos(plot.PlotRect, size, ImPlot3DLocation_SouthEast, ImVec2(10, 10));
ImDrawList& draw_list = *ImGui::GetWindowDrawList();
draw_list.AddText(pos, GetStyleColorU32(ImPlot3DCol_InlayText), builder.c_str());
}
}
//-----------------------------------------------------------------------------
// [SECTION] Plot Box Utils
//-----------------------------------------------------------------------------
// Faces of the box (defined by 4 corner indices)
static const int faces[6][4] = {
{0, 3, 7, 4}, // X-min face
{0, 4, 5, 1}, // Y-min face
{0, 1, 2, 3}, // Z-min face
{1, 2, 6, 5}, // X-max face
{3, 7, 6, 2}, // Y-max face
{4, 5, 6, 7}, // Z-max face
};
// Edges of the box (defined by 2 corner indices)
static const int edges[12][2] = {
// Bottom face edges
{0, 1},
{1, 2},
{2, 3},
{3, 0},
// Top face edges
{4, 5},
{5, 6},
{6, 7},
{7, 4},
// Vertical edges
{0, 4},
{1, 5},
{2, 6},
{3, 7},
};
// Face edges (4 edge indices for each face)
static const int face_edges[6][4] = {
{3, 11, 8, 7}, // X-min face
{0, 8, 4, 9}, // Y-min face
{0, 1, 2, 3}, // Z-min face
{1, 9, 5, 10}, // X-max face
{2, 10, 6, 11}, // Y-max face
{4, 5, 6, 7}, // Z-max face
};
// Lookup table for axis_corners based on active_faces (3D plot)
static const int axis_corners_lookup_3d[8][3][2] = {
// Index 0: active_faces = {0, 0, 0}
{{3, 2}, {1, 2}, {1, 5}},
// Index 1: active_faces = {0, 0, 1}
{{7, 6}, {5, 6}, {1, 5}},
// Index 2: active_faces = {0, 1, 0}
{{0, 1}, {1, 2}, {2, 6}},
// Index 3: active_faces = {0, 1, 1}
{{4, 5}, {5, 6}, {2, 6}},
// Index 4: active_faces = {1, 0, 0}
{{3, 2}, {0, 3}, {0, 4}},
// Index 5: active_faces = {1, 0, 1}
{{7, 6}, {4, 7}, {0, 4}},
// Index 6: active_faces = {1, 1, 0}
{{0, 1}, {0, 3}, {3, 7}},
// Index 7: active_faces = {1, 1, 1}
{{4, 5}, {4, 7}, {3, 7}},
};
int GetMouseOverPlane(const ImPlot3DPlot& plot, const bool* active_faces, const ImVec2* corners_pix, int* plane_out = nullptr) {
ImGuiIO& io = ImGui::GetIO();
ImVec2 mouse_pos = io.MousePos;
if (plane_out)
*plane_out = -1;
// Check each active face
for (int a = 0; a < 3; a++) {
int face_idx = a + 3 * active_faces[a];
ImVec2 p0 = corners_pix[faces[face_idx][0]];
ImVec2 p1 = corners_pix[faces[face_idx][1]];
ImVec2 p2 = corners_pix[faces[face_idx][2]];
ImVec2 p3 = corners_pix[faces[face_idx][3]];
// Check if the mouse is inside the face's quad (using a triangle check)
if (ImTriangleContainsPoint(p0, p1, p2, mouse_pos) || ImTriangleContainsPoint(p2, p3, p0, mouse_pos)) {
if (plane_out)
*plane_out = a;
return a; // Return the plane index: 0 -> YZ, 1 -> XZ, 2 -> XY
}
}
return -1; // Not over any active plane
}
int GetMouseOverAxis(const ImPlot3DPlot& plot, const bool* active_faces, const ImVec2* corners_pix, const int plane_2d, int* edge_out = nullptr) {
const float axis_proximity_threshold = 15.0f; // Distance in pixels to consider the mouse "close" to an axis
ImGuiIO& io = ImGui::GetIO();
ImVec2 mouse_pos = io.MousePos;
if (edge_out)
*edge_out = -1;
bool visible_edges[12];
for (int i = 0; i < 12; i++)
visible_edges[i] = false;
for (int a = 0; a < 3; a++) {
int face_idx = a + 3 * active_faces[a];
if (plane_2d != -1 && a != plane_2d)
continue;
for (size_t i = 0; i < 4; i++)
visible_edges[face_edges[face_idx][i]] = true;
}
// Check each edge for proximity to the mouse
for (int edge = 0; edge < 12; edge++) {
if (!visible_edges[edge])
continue;
ImVec2 p0 = corners_pix[edges[edge][0]];
ImVec2 p1 = corners_pix[edges[edge][1]];
// Check distance to the edge
ImVec2 closest_point = ImLineClosestPoint(p0, p1, mouse_pos);
float dist = ImLengthSqr(mouse_pos - closest_point);
if (dist <= axis_proximity_threshold) {
if (edge_out)
*edge_out = edge;
// Determine which axis the edge belongs to
if (edge == 0 || edge == 2 || edge == 4 || edge == 6)
return 0; // X-axis
else if (edge == 1 || edge == 3 || edge == 5 || edge == 7)
return 1; // Y-axis
else
return 2; // Z-axis
}
}
return -1; // Not over any axis
}
void RenderPlotBackground(ImDrawList* draw_list, const ImPlot3DPlot& plot, const ImVec2* corners_pix, const bool* active_faces, const int plane_2d) {
const ImVec4 col_bg = GetStyleColorVec4(ImPlot3DCol_PlotBg);
const ImVec4 col_bg_hov = col_bg + ImVec4(0.03f, 0.03f, 0.03f, 0.0f);
int hovered_plane = -1;
if (!plot.Held) {
// If the mouse is not held, highlight plane hovering when mouse over it
hovered_plane = GetMouseOverPlane(plot, active_faces, corners_pix);
if (GetMouseOverAxis(plot, active_faces, corners_pix, plane_2d) != -1)
hovered_plane = -1;
} else {
// If the mouse is held, highlight the held plane
hovered_plane = plot.HeldPlaneIdx;
}
for (int a = 0; a < 3; a++) {
int idx[4]; // Corner indices
for (int i = 0; i < 4; i++)
idx[i] = faces[a + 3 * active_faces[a]][i];
const ImU32 col = ImGui::ColorConvertFloat4ToU32((hovered_plane == a) ? col_bg_hov : col_bg);
draw_list->AddQuadFilled(corners_pix[idx[0]], corners_pix[idx[1]], corners_pix[idx[2]], corners_pix[idx[3]], col);
}
}
void RenderPlotBorder(ImDrawList* draw_list, const ImPlot3DPlot& plot, const ImVec2* corners_pix, const bool* active_faces, const int plane_2d) {
ImGuiIO& io = ImGui::GetIO();
int hovered_edge = -1;
if (!plot.Held)
GetMouseOverAxis(plot, active_faces, corners_pix, plane_2d, &hovered_edge);
else
hovered_edge = plot.HeldEdgeIdx;
bool render_edge[12];
for (int i = 0; i < 12; i++)
render_edge[i] = false;
for (int a = 0; a < 3; a++) {
int face_idx = a + 3 * active_faces[a];
if (plane_2d != -1 && a != plane_2d)
continue;
for (size_t i = 0; i < 4; i++)
render_edge[face_edges[face_idx][i]] = true;
}
ImU32 col_bd = GetStyleColorU32(ImPlot3DCol_PlotBorder);
for (int i = 0; i < 12; i++) {
if (render_edge[i]) {
int idx0 = edges[i][0];
int idx1 = edges[i][1];
float thickness = i == hovered_edge ? 3.0f : 1.0f;
draw_list->AddLine(corners_pix[idx0], corners_pix[idx1], col_bd, thickness);
}
}
}
void RenderGrid(ImDrawList* draw_list, const ImPlot3DPlot& plot, const ImPlot3DPoint* corners, const bool* active_faces, const int plane_2d) {
ImVec4 col_grid = GetStyleColorVec4(ImPlot3DCol_AxisGrid);
ImU32 col_grid_minor = ImGui::GetColorU32(col_grid * ImVec4(1, 1, 1, 0.3f));
ImU32 col_grid_major = ImGui::GetColorU32(col_grid * ImVec4(1, 1, 1, 0.6f));
for (int face = 0; face < 3; face++) {
if (plane_2d != -1 && face != plane_2d)
continue;
int face_idx = face + 3 * active_faces[face];
const ImPlot3DAxis& axis_u = plot.Axes[(face + 1) % 3];
const ImPlot3DAxis& axis_v = plot.Axes[(face + 2) % 3];
// Get the two axes (u and v) that define the face plane
int idx0 = faces[face_idx][0];
int idx1 = faces[face_idx][1];
int idx2 = faces[face_idx][2];
int idx3 = faces[face_idx][3];
// Corners of the face in plot space
ImPlot3DPoint p0 = corners[idx0];
ImPlot3DPoint p1 = corners[idx1];
ImPlot3DPoint p2 = corners[idx2];
ImPlot3DPoint p3 = corners[idx3];
// Vectors along the edges
ImPlot3DPoint u_vec = p1 - p0;
ImPlot3DPoint v_vec = p3 - p0;
// Render grid lines along u axis (axis_u)
if (!ImPlot3D::ImHasFlag(axis_u.Flags, ImPlot3DAxisFlags_NoGridLines))
for (int t = 0; t < axis_u.Ticker.TickCount(); ++t) {
const ImPlot3DTick& tick = axis_u.Ticker.Ticks[t];
// Compute position along u
float t_u = (tick.PlotPos - axis_u.Range.Min) / (axis_u.Range.Max - axis_u.Range.Min);
ImPlot3DPoint p_start = p0 + u_vec * t_u;
ImPlot3DPoint p_end = p3 + u_vec * t_u;
// Convert to pixel coordinates
ImVec2 p_start_pix = PlotToPixels(p_start);
ImVec2 p_end_pix = PlotToPixels(p_end);
// Get color
ImU32 col_line = tick.Major ? col_grid_major : col_grid_minor;
// Draw the grid line
draw_list->AddLine(p_start_pix, p_end_pix, col_line);
}
// Render grid lines along v axis (axis_v)
if (!ImPlot3D::ImHasFlag(axis_v.Flags, ImPlot3DAxisFlags_NoGridLines))
for (int t = 0; t < axis_v.Ticker.TickCount(); ++t) {
const ImPlot3DTick& tick = axis_v.Ticker.Ticks[t];
// Compute position along v
float t_v = (tick.PlotPos - axis_v.Range.Min) / (axis_v.Range.Max - axis_v.Range.Min);
ImPlot3DPoint p_start = p0 + v_vec * t_v;
ImPlot3DPoint p_end = p1 + v_vec * t_v;
// Convert to pixel coordinates
ImVec2 p_start_pix = PlotToPixels(p_start);
ImVec2 p_end_pix = PlotToPixels(p_end);
// Get color
ImU32 col_line = tick.Major ? col_grid_major : col_grid_minor;
// Draw the grid line
draw_list->AddLine(p_start_pix, p_end_pix, col_line);
}
}
}
void RenderTickMarks(ImDrawList* draw_list, const ImPlot3DPlot& plot, const ImPlot3DPoint* corners, const ImVec2* corners_pix, const int axis_corners[3][2], const int plane_2d) {
ImU32 col_tick = GetStyleColorU32(ImPlot3DCol_AxisTick);
auto DeterminePlaneForAxis = [&](int axis_idx) {
if (plane_2d != -1)
return plane_2d;
// If no plane chosen (-1), use:
// X or Y axis -> XY plane (2)
// Z axis -> YZ plane (0)
if (axis_idx == 2)
return 1; // Z-axis use XZ plane
else
return 2; // X or Y-axis use XY plane
};
for (int a = 0; a < 3; a++) {
const ImPlot3DAxis& axis = plot.Axes[a];
if (ImPlot3D::ImHasFlag(axis.Flags, ImPlot3DAxisFlags_NoTickMarks))
continue;
int idx0 = axis_corners[a][0];
int idx1 = axis_corners[a][1];
if (idx0 == idx1) // axis not visible or invalid
continue;
ImPlot3DPoint axis_start = corners[idx0];
ImPlot3DPoint axis_end = corners[idx1];
ImPlot3DPoint axis_dir = axis_end - axis_start;
float axis_len = axis_dir.Length();
if (axis_len < 1e-12f)
continue;
axis_dir /= axis_len;
// Draw axis line
ImVec2 axis_start_pix = corners_pix[idx0];
ImVec2 axis_end_pix = corners_pix[idx1];
draw_list->AddLine(axis_start_pix, axis_end_pix, col_tick);
// Choose plane
int chosen_plane = DeterminePlaneForAxis(a);
// Project axis_dir onto chosen plane
ImPlot3DPoint proj_dir = axis_dir;
if (chosen_plane == 0) {
// YZ plane: zero out x
proj_dir.x = 0.0f;
} else if (chosen_plane == 1) {
// XZ plane: zero out y
proj_dir.y = 0.0f;
} else if (chosen_plane == 2) {
// XY plane: zero out z
proj_dir.z = 0.0f;
}
float proj_len = proj_dir.Length();
if (proj_len < 1e-12f) {
// Axis is parallel to plane normal or something degenerate, skip ticks
continue;
}
proj_dir /= proj_len;
// Rotate 90 degrees in chosen plane
ImPlot3DPoint tick_dir;
if (chosen_plane == 0) {
// YZ plane
// proj_dir=(0,py,pz), rotate 90°: (py,pz) -> (-pz,py)
tick_dir = ImPlot3DPoint(0, -proj_dir.z, proj_dir.y);
} else if (chosen_plane == 1) {
// XZ plane (plane=1)
// proj_dir=(px,0,pz), rotate 90°: (px,pz) -> (-pz,px)
tick_dir = ImPlot3DPoint(-proj_dir.z, 0, proj_dir.x);
} else {
// XY plane
// proj_dir=(px,py,0), rotate by 90°: (px,py) -> (-py,px)
tick_dir = ImPlot3DPoint(-proj_dir.y, proj_dir.x, 0);
}
tick_dir.Normalize();
// Tick lengths in NDC units
const float major_size_ndc = 0.06f;
const float minor_size_ndc = 0.03f;
for (int t = 0; t < axis.Ticker.TickCount(); ++t) {
const ImPlot3DTick& tick = axis.Ticker.Ticks[t];
float v = (tick.PlotPos - axis.Range.Min) / (axis.Range.Max - axis.Range.Min);
ImPlot3DPoint tick_pos_ndc = PlotToNDC(axis_start + axis_dir * (v * axis_len));
// Half tick on each side of the axis line
float size_tick_ndc = tick.Major ? major_size_ndc : minor_size_ndc;
ImPlot3DPoint half_tick_ndc = tick_dir * (size_tick_ndc * 0.5f);
ImPlot3DPoint T1_ndc = tick_pos_ndc - half_tick_ndc;
ImPlot3DPoint T2_ndc = tick_pos_ndc + half_tick_ndc;
ImVec2 T1_screen = NDCToPixels(T1_ndc);
ImVec2 T2_screen = NDCToPixels(T2_ndc);
draw_list->AddLine(T1_screen, T2_screen, col_tick);
}
}
}
void RenderTickLabels(ImDrawList* draw_list, const ImPlot3DPlot& plot, const ImPlot3DPoint* corners, const ImVec2* corners_pix, const int axis_corners[3][2]) {
ImVec2 box_center_pix = PlotToPixels(plot.RangeCenter());
ImU32 col_tick_txt = GetStyleColorU32(ImPlot3DCol_AxisText);
for (int a = 0; a < 3; a++) {
const ImPlot3DAxis& axis = plot.Axes[a];
if (ImPlot3D::ImHasFlag(axis.Flags, ImPlot3DAxisFlags_NoTickLabels))
continue;
// Corner indices for this axis
int idx0 = axis_corners[a][0];
int idx1 = axis_corners[a][1];
// If normal to the 2D plot, ignore the ticks
if (idx0 == idx1)
continue;
// Start and end points of the axis in plot space
ImPlot3DPoint axis_start = corners[idx0];
ImPlot3DPoint axis_end = corners[idx1];
// Direction vector along the axis
ImPlot3DPoint axis_dir = axis_end - axis_start;
// Convert axis start and end to screen space
ImVec2 axis_start_pix = corners_pix[idx0];
ImVec2 axis_end_pix = corners_pix[idx1];
// Screen space axis direction
ImVec2 axis_screen_dir = axis_end_pix - axis_start_pix;
float axis_length = ImSqrt(ImLengthSqr(axis_screen_dir));
if (axis_length != 0.0f)
axis_screen_dir /= axis_length;
else
axis_screen_dir = ImVec2(1.0f, 0.0f); // Default direction if length is zero
// Perpendicular direction in screen space
ImVec2 offset_dir_pix = ImVec2(-axis_screen_dir.y, axis_screen_dir.x);
// Make sure direction points away from cube center
ImVec2 box_center_pix = PlotToPixels(plot.RangeCenter());
ImVec2 axis_center_pix = (axis_start_pix + axis_end_pix) * 0.5f;
ImVec2 center_to_axis_pix = axis_center_pix - box_center_pix;
center_to_axis_pix /= ImSqrt(ImLengthSqr(center_to_axis_pix));
if (ImDot(offset_dir_pix, center_to_axis_pix) < 0.0f)
offset_dir_pix = -offset_dir_pix;
// Adjust the offset magnitude
float offset_magnitude = 20.0f; // TODO Calculate based on label size
ImVec2 offset_pix = offset_dir_pix * offset_magnitude;
// Compute angle perpendicular to axis in screen space
float angle = atan2f(-axis_screen_dir.y, axis_screen_dir.x) + IM_PI * 0.5f;
// Normalize angle to be between -π and π
if (angle > IM_PI)
angle -= 2 * IM_PI;
if (angle < -IM_PI)
angle += 2 * IM_PI;
// Adjust angle to keep labels upright
if (angle > IM_PI * 0.5f)
angle -= IM_PI;
if (angle < -IM_PI * 0.5f)
angle += IM_PI;
// Loop over ticks
for (int t = 0; t < axis.Ticker.TickCount(); ++t) {
const ImPlot3DTick& tick = axis.Ticker.Ticks[t];
if (!tick.ShowLabel)
continue;
// Compute position along the axis
float t_axis = (tick.PlotPos - axis.Range.Min) / (axis.Range.Max - axis.Range.Min);
ImPlot3DPoint tick_pos = axis_start + axis_dir * t_axis;
// Convert to pixel coordinates
ImVec2 tick_pos_pix = PlotToPixels(tick_pos);
// Get the tick label text
const char* label = axis.Ticker.GetText(tick);
// Adjust label position by offset
ImVec2 label_pos_pix = tick_pos_pix + offset_pix;
// Render the tick label
AddTextRotated(draw_list, label_pos_pix, angle, col_tick_txt, label);
}
}
}
void RenderAxisLabels(ImDrawList* draw_list, const ImPlot3DPlot& plot, const ImPlot3DPoint* corners, const ImVec2* corners_pix, const int axis_corners[3][2]) {
ImPlot3DPoint range_center = plot.RangeCenter();
for (int a = 0; a < 3; a++) {
const ImPlot3DAxis& axis = plot.Axes[a];
if (!axis.HasLabel())
continue;
const char* label = axis.GetLabel();
// Corner indices
int idx0 = axis_corners[a][0];
int idx1 = axis_corners[a][1];
// If normal to the 2D plot, ignore axis label
if (idx0 == idx1)
continue;
// Position at the end of the axis
ImPlot3DPoint label_pos = (corners[idx0] + corners[idx1]) * 0.5f;
// Add offset
label_pos += (label_pos - range_center) * 0.4f;
// Convert to pixel coordinates
ImVec2 label_pos_pix = PlotToPixels(label_pos);
// Adjust label position and angle
ImU32 col_ax_txt = GetStyleColorU32(ImPlot3DCol_AxisText);
// Compute text angle
ImVec2 screen_delta = corners_pix[idx1] - corners_pix[idx0];
float angle = atan2f(-screen_delta.y, screen_delta.x);
if (angle > IM_PI * 0.5f)
angle -= IM_PI;
if (angle < -IM_PI * 0.5f)
angle += IM_PI;
AddTextRotated(draw_list, label_pos_pix, angle, col_ax_txt, label);
}
}
// Function to compute active faces based on the rotation
// If the plot is close to 2D, plane_2d is set to the plane index (0 -> YZ, 1 -> XZ, 2 -> XY)
// plane_2d is set to -1 otherwise
void ComputeActiveFaces(bool* active_faces, const ImPlot3DQuat& rotation, const ImPlot3DAxis* axes, int* plane_2d = nullptr) {
if (plane_2d)
*plane_2d = -1;
ImPlot3DPoint rot_face_n[3] = {
rotation * ImPlot3DPoint(1.0f, 0.0f, 0.0f),
rotation * ImPlot3DPoint(0.0f, 1.0f, 0.0f),
rotation * ImPlot3DPoint(0.0f, 0.0f, 1.0f),
};
int num_deg = 0; // Check number of planes that are degenerate (seen as a line)
for (int i = 0; i < 3; ++i) {
// Determine the active face based on the Z component
if (fabs(rot_face_n[i].z) < 0.025) {
// If aligned with the plane, choose the min face for bottom/left
active_faces[i] = rot_face_n[i].x + rot_face_n[i].y < 0.0f;
num_deg++;
} else {
// Otherwise, determine based on the Z component
bool is_inverted = ImHasFlag(axes[i].Flags, ImPlot3DAxisFlags_Invert);
active_faces[i] = is_inverted ? (rot_face_n[i].z > 0.0f) : (rot_face_n[i].z < 0.0f);
// Set this plane as possible 2d plane
if (plane_2d)
*plane_2d = i;
}
}
// Only return 2d plane if there are exactly 2 degenerate planes
if (num_deg != 2 && plane_2d)
*plane_2d = -1;
}
// Function to compute the box corners in plot space
void ComputeBoxCorners(ImPlot3DPoint* corners, const ImPlot3DPoint& range_min, const ImPlot3DPoint& range_max) {
corners[0] = ImPlot3DPoint(range_min.x, range_min.y, range_min.z); // 0
corners[1] = ImPlot3DPoint(range_max.x, range_min.y, range_min.z); // 1
corners[2] = ImPlot3DPoint(range_max.x, range_max.y, range_min.z); // 2
corners[3] = ImPlot3DPoint(range_min.x, range_max.y, range_min.z); // 3
corners[4] = ImPlot3DPoint(range_min.x, range_min.y, range_max.z); // 4
corners[5] = ImPlot3DPoint(range_max.x, range_min.y, range_max.z); // 5
corners[6] = ImPlot3DPoint(range_max.x, range_max.y, range_max.z); // 6
corners[7] = ImPlot3DPoint(range_min.x, range_max.y, range_max.z); // 7
}
// Function to compute the box corners in pixel space
void ComputeBoxCornersPix(ImVec2* corners_pix, const ImPlot3DPoint* corners) {
for (int i = 0; i < 8; i++) {
corners_pix[i] = PlotToPixels(corners[i]);
}
}
void RenderPlotBox(ImDrawList* draw_list, const ImPlot3DPlot& plot) {
// Get plot parameters
const ImRect& plot_area = plot.PlotRect;
const ImPlot3DQuat& rotation = plot.Rotation;
ImPlot3DPoint range_min = plot.RangeMin();
ImPlot3DPoint range_max = plot.RangeMax();
ImPlot3DPoint range_center = plot.RangeCenter();
// Compute active faces
bool active_faces[3];
int plane_2d = -1;
ComputeActiveFaces(active_faces, rotation, plot.Axes, &plane_2d);
bool is_2d = plane_2d != -1;
// Compute box corners in plot space
ImPlot3DPoint corners[8];
ComputeBoxCorners(corners, range_min, range_max);
// Compute box corners in pixel space
ImVec2 corners_pix[8];
ComputeBoxCornersPix(corners_pix, corners);
// Compute axes start and end corners (given current rotation)
int axis_corners[3][2];
if (is_2d) {
int face = plane_2d + 3 * active_faces[plane_2d]; // Face of the 2D plot
int common_edges[2] = {-1, -1}; // Edges shared by the 3 faces
// Find the common edges between the 3 faces
for (int i = 0; i < 4; i++) {
int edge = face_edges[face][i];
for (int j = 0; j < 2; j++) {
int axis = (plane_2d + 1 + j) % 3;
int face_idx = axis + active_faces[axis] * 3;
for (int k = 0; k < 4; k++) {
if (face_edges[face_idx][k] == edge) {
common_edges[j] = edge;
break;
}
}
}
}
// Get corners from 2 edges (origin is the corner in common)
int origin_corner = -1;
int x_corner = -1;
int y_corner = -1;
for (int i = 0; i < 2; i++)
for (int j = 0; j < 2; j++)
if (edges[common_edges[0]][i] == edges[common_edges[1]][j]) {
origin_corner = edges[common_edges[0]][i];
x_corner = edges[common_edges[0]][!i];
y_corner = edges[common_edges[1]][!j];
}
// Swap x and y if they are flipped
ImVec2 x_vec = corners_pix[x_corner] - corners_pix[origin_corner];
ImVec2 y_vec = corners_pix[y_corner] - corners_pix[origin_corner];
if (y_vec.x > x_vec.x)
ImSwap(x_corner, y_corner);
// Check which 3d axis the 2d axis refers to
ImPlot3DPoint origin_3d = corners[origin_corner];
ImPlot3DPoint x_3d = (corners[x_corner] - origin_3d).Normalized();
ImPlot3DPoint y_3d = (corners[y_corner] - origin_3d).Normalized();
int x_axis = -1;
bool x_inverted = false;
int y_axis = -1;
bool y_inverted = false;
for (int i = 0; i < 2; i++) {
int axis_i = (plane_2d + 1 + i) % 3;
if (y_axis != -1 || (ImAbs(x_3d[axis_i]) > 1e-8f && x_axis == -1)) {
x_axis = axis_i;
x_inverted = x_3d[axis_i] < 0.0f;
} else {
y_axis = axis_i;
y_inverted = y_3d[axis_i] < 0.0f;
}
}
// Set the 3d axis corners based on the 2d axis corners
axis_corners[plane_2d][0] = -1;