From 536e0157928ce8b85f4e438d274ce0e3a8cd4598 Mon Sep 17 00:00:00 2001 From: Michael Griebling Date: Sun, 13 Oct 2024 15:21:34 -0400 Subject: [PATCH] Updated both Int128 and UInt128 interfaces to be more in line with Apple's released types of the same names. --- .../data/documentation/uint128.json | 1 - .../data/documentation/uint128/int128.json | 1 - .../uint128/int128/!=(_:_:)-4r5f7.json | 1 - .../uint128/int128/!=(_:_:)-8uw37.json | 1 - .../uint128/int128/!=(_:_:)-9yznj.json | 1 - .../documentation/uint128/int128/&(_:_:).json | 1 - .../uint128/int128/&*(_:_:).json | 1 - .../uint128/int128/&*=(_:_:).json | 1 - .../uint128/int128/&+(_:_:).json | 1 - .../uint128/int128/&+=(_:_:).json | 1 - .../uint128/int128/&-(_:_:).json | 1 - .../uint128/int128/&-=(_:_:).json | 1 - .../uint128/int128/&=(_:_:).json | 1 - .../uint128/int128/&__(_:_:)-1gqmw.json | 1 - .../uint128/int128/&__(_:_:)-2fbxy.json | 1 - .../uint128/int128/&__(_:_:)-36hki.json | 1 - .../uint128/int128/&__(_:_:)-4ea2m.json | 1 - 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| 1 - .../elementsequal(_:by:).json | 1 - .../int128/words-swift.struct/endindex.json | 1 - .../words-swift.struct/enumerated().json | 1 - .../int128/words-swift.struct/filter(_:).json | 1 - .../words-swift.struct/first(where:).json | 1 - .../int128/words-swift.struct/first.json | 1 - .../words-swift.struct/firstindex(of:).json | 1 - .../firstindex(where:).json | 1 - .../firstrange(of:)-1lfnn.json | 1 - .../firstrange(of:)-5krtd.json | 1 - .../words-swift.struct/flatmap(_:)-1fzwa.json | 1 - .../words-swift.struct/flatmap(_:)-6p5y3.json | 1 - .../words-swift.struct/foreach(_:).json | 1 - .../formindex(_:offsetby:).json | 1 - .../formindex(_:offsetby:limitedby:).json | 1 - .../words-swift.struct/formindex(after:).json | 1 - .../formindex(before:).json | 1 - .../index(_:offsetby:limitedby:).json | 1 - .../words-swift.struct/index(after:).json | 1 - .../words-swift.struct/index(before:).json | 1 - .../int128/words-swift.struct/index(of:).json | 1 - .../int128/words-swift.struct/index.json 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a/Docs/UInt128.doccarchive/metadata.json +++ /dev/null @@ -1 +0,0 @@ -{"schemaVersion":{"patch":0,"minor":1,"major":0},"bundleIdentifier":"uint128.UInt128","bundleDisplayName":"UInt128"} \ No newline at end of file diff --git a/README.md b/README.md index 33a4d9b..75ef61d 100644 --- a/README.md +++ b/README.md @@ -9,25 +9,6 @@ The user interface has been changed to be in sync with Apple's unreleased versio This package is usually around ten times faster than other UInt128 implementations and roughly the same speed as Apple's implementation. If you find something faster, please let me know. -This package is compliant with the following protocols: - -1. UnsignedInteger/SignedInteger -2. BinaryInteger -3. FixedWidthInteger -4. Numeric -4. AdditiveArithmetic -5. ExpressibleByIntegerLiteral -6. ExpressibleByStringLiteral -6. LosslessStringConvertible -7. CustomStringConvertible -7. CustomDebugStringConvertible -8. Comparable -9. Equatable -9. Strideable -10. Hashable -11. Sendable -12. Codable - This package now supports `StaticBigInt`. Unfortunately, this means you need to have one of following configurations (or higher) @@ -40,13 +21,6 @@ to have one of following configurations (or higher) If you don't have these configurations, you need to use a previous release of UInt128/Int128. -If you're working with macOS 15.0+, iOS 18.0+, or tvOS 18.0+, you won't need -this package any more because Int128/UInt128 are built into the OS. Just -remove the imports of this package and you should be good. If you use the -internals of this package (low, high) and init(low, high), these will need -to have underscores prefixed on the arguments. Apple does this to indicate internal variables -and methods that you shouldn't use unless you know what you're doing. - ## Installation This library includes Swift Package support out of the box. Reference this git repository via XCode to install as a Package. @@ -55,30 +29,9 @@ You can also manually copy over the `Sources/(U)Int128.swift` files into your pr and it should work great. This file split duplicates Apple's UInt128 and Int128 files. Note: Some common utilities are located in the Int128.swift file. -## Usage -Since this library fully implements the UnsignedInteger or SignedInteger protocol, -you can use this data type just like any other native UInt data type. For numbers larger -than UIntMax, you can enter numbers directly as literals (see example). If you prefer, -the `init(high: UInt64, low: UInt64)`, or the `init(_ source: String, radix: Int)` initializers -can also be used to create a UInt128/Int128. A string can be in any radix up to base 36 -including binary, octal, decimal or hexadecimal, by using a corresponding `radix` -argument. Strings **cannot** contain spaces, underscores, or non-radix digits. Illegal -input strings will return nil (previously they quietly returned 0). Note: This is probably confusing -to newbies who may want to use underscores to separate digit groups as they -can do with literal integers (e.g., 123\_456), but it is the *Apple way*. -Fortunately, with big literal number support (aka `StaticBigInt`), you never -need to use string initializers again, unless you need oddball radices. +## Documentation -For example: -```Swift - let uInt128ByString = UInt128("ffaabbcc00129823fa9a12d4aa87f498", radix:16)! - let uInt128ByLiteral: UInt128 = 0xffaa_bbcc_0012_9823_fa9a_12d4_aa87_f498 - let uInt128ByInteger: UInt128 = 1234 -``` +Please refer to https://mgriebling.github.io/UInt128/documentation/uint128 +for the documentation. -## Testing -Some tests are included (many from Joel Gerber's great UInt128 implementation) -to verify that the source files are intact and working correctly. Please -let me know of any testing failures. Please forward to me any new tests that -you decide to add. diff --git a/Sources/UInt128/Common.swift b/Sources/UInt128/Common.swift new file mode 100644 index 0000000..b77cd92 --- /dev/null +++ b/Sources/UInt128/Common.swift @@ -0,0 +1,287 @@ +// +// Common.swift +// UInt128 +// +// Created by Mike Griebling on 13.10.2024. +// + +typealias _Wide2 = + (high: F, low: F.Magnitude) + +typealias _Wide3 = + (high: F, mid: F.Magnitude, low: F.Magnitude) + +typealias _Wide4 = + (high: _Wide2, low: (high: F.Magnitude, low: F.Magnitude)) + +func _wideMagnitude22(_ v: _Wide2) -> _Wide2 { + var result = (high: F.Magnitude(truncatingIfNeeded: v.high), low: v.low) + guard F.isSigned && v.high < 0 else { return result } + result.high = ~result.high + result.low = ~result.low + return _wideAddReportingOverflow22(result, (high: 0, low: 1)).partialValue +} + +func _wideAddReportingOverflow22( + _ lhs: _Wide2, _ rhs: _Wide2 +) -> (partialValue: _Wide2, overflow: Bool) { + let (low, lowOverflow) = lhs.low.addingReportingOverflow(rhs.low) + let (high, highOverflow) = lhs.high.addingReportingOverflow(rhs.high) + let overflow = highOverflow || high == F.max && lowOverflow + let result = (high: high &+ (lowOverflow ? 1 : 0), low: low) + return (partialValue: result, overflow: overflow) +} + +private func _wideAdd22( + _ lhs: inout _Wide2, _ rhs: _Wide2 +) { + let (result, overflow) = _wideAddReportingOverflow22(lhs, rhs) + precondition(!overflow, "Overflow in +") + lhs = result +} + +func _wideAddReportingOverflow33( + _ lhs: _Wide3, _ rhs: _Wide3 +) -> ( + partialValue: _Wide3, + overflow: Bool +) { + let (low, lowOverflow) = + _wideAddReportingOverflow22((lhs.mid, lhs.low), (rhs.mid, rhs.low)) + let (high, highOverflow) = lhs.high.addingReportingOverflow(rhs.high) + let result = (high: high &+ (lowOverflow ? 1 : 0), mid: low.high, low: low.low) + let overflow = highOverflow || (high == F.max && lowOverflow) + return (partialValue: result, overflow: overflow) +} + +func _wideSubtractReportingOverflow22( + _ lhs: _Wide2, _ rhs: _Wide2 +) -> (partialValue: (high: F, low: F.Magnitude), overflow: Bool) { + let (low, lowOverflow) = lhs.low.subtractingReportingOverflow(rhs.low) + let (high, highOverflow) = lhs.high.subtractingReportingOverflow(rhs.high) + let result = (high: high &- (lowOverflow ? 1 : 0), low: low) + let overflow = highOverflow || high == F.min && lowOverflow + return (partialValue: result, overflow: overflow) +} + +private func _wideSubtract22( + _ lhs: inout _Wide2, _ rhs: _Wide2 +) { + let (result, overflow) = _wideSubtractReportingOverflow22(lhs, rhs) + precondition(!overflow, "Overflow in -") + lhs = result +} + +private func _wideSubtractReportingOverflow33( + _ lhs: _Wide3, _ rhs: _Wide3 +) -> ( + partialValue: _Wide3, + overflow: Bool +) { + let (low, lowOverflow) = + _wideSubtractReportingOverflow22((lhs.mid, lhs.low), (rhs.mid, rhs.low)) + let (high, highOverflow) = lhs.high.subtractingReportingOverflow(rhs.high) + let result = (high: high &- (lowOverflow ? 1 : 0), mid: low.high, low: low.low) + let overflow = highOverflow || (high == F.min && lowOverflow) + return (partialValue: result, overflow: overflow) +} + +func _wideMaskedShiftLeft( + _ lhs: _Wide2, _ rhs: F.Magnitude +) -> _Wide2 { + let bitWidth = F.bitWidth + F.Magnitude.bitWidth + precondition(bitWidth.nonzeroBitCount == 1) + + // Mask rhs by the bit width of the wide value. + let rhs = rhs & F.Magnitude(bitWidth &- 1) + + guard rhs < F.Magnitude.bitWidth else { + let s = rhs &- F.Magnitude(F.Magnitude.bitWidth) + return (high: F(truncatingIfNeeded: lhs.low &<< s), low: 0) + } + + guard rhs != F.Magnitude.zero else { return lhs } + var high = lhs.high &<< F(rhs) + let rollover = F.Magnitude(F.bitWidth) &- rhs + high |= F(truncatingIfNeeded: lhs.low &>> rollover) + let low = lhs.low &<< rhs + return (high, low) +} + +func _wideMaskedShiftLeft( + _ lhs: inout _Wide2, _ rhs: F.Magnitude +) { + lhs = _wideMaskedShiftLeft(lhs, rhs) +} + +func _wideMaskedShiftRight( + _ lhs: _Wide2, _ rhs: F.Magnitude +) -> _Wide2 { + let bitWidth = F.bitWidth + F.Magnitude.bitWidth + precondition(bitWidth.nonzeroBitCount == 1) + + // Mask rhs by the bit width of the wide value. + let rhs = rhs & F.Magnitude(bitWidth &- 1) + + guard rhs < F.bitWidth else { + let s = F(rhs &- F.Magnitude(F.bitWidth)) + return ( + high: lhs.high < 0 ? ~0 : 0, + low: F.Magnitude(truncatingIfNeeded: lhs.high &>> s)) + } + + guard rhs != F.zero else { return lhs } + var low = lhs.low &>> rhs + let rollover = F(F.bitWidth) &- F(rhs) + low |= F.Magnitude(truncatingIfNeeded: lhs.high &<< rollover) + let high = lhs.high &>> rhs + return (high, low) +} + +func _wideMaskedShiftRight( + _ lhs: inout _Wide2, _ rhs: F.Magnitude +) { + lhs = _wideMaskedShiftRight(lhs, rhs) +} + +/// Returns the quotient and remainder after dividing a triple-width magnitude +/// `lhs` by a double-width magnitude `rhs`. +/// +/// This operation is conceptually that described by Burnikel and Ziegler +/// (1998). +private func _wideDivide32( + _ lhs: _Wide3, by rhs: _Wide2 +) -> (quotient: F, remainder: _Wide2) { + // The following invariants are guaranteed to hold by dividingFullWidth or + // quotientAndRemainder before this function is invoked: + precondition(lhs.high != F.zero) + precondition(rhs.high.leadingZeroBitCount == 0) + precondition((high: lhs.high, low: lhs.mid) < rhs) + + // Estimate the quotient with a 2/1 division using just the top digits. + var quotient = (lhs.high == rhs.high + ? F.max + : rhs.high.dividingFullWidth((high: lhs.high, low: lhs.mid)).quotient) + + // Compute quotient * rhs. + // TODO: This could be performed more efficiently. + let p1 = quotient.multipliedFullWidth(by: F(rhs.low)) + let p2 = quotient.multipliedFullWidth(by: rhs.high) + let product = _wideAddReportingOverflow33( + (high: F.zero, mid: F.Magnitude(p1.high), low: p1.low), + (high: p2.high, mid: p2.low, low: .zero)).partialValue + + // Compute the remainder after decrementing quotient as necessary. + var remainder = lhs + + while remainder < product { + quotient = quotient &- 1 + remainder = _wideAddReportingOverflow33( + remainder, + (high: F.zero, mid: F.Magnitude(rhs.high), low: rhs.low)).partialValue + } + remainder = _wideSubtractReportingOverflow33(remainder, product).partialValue + precondition(remainder.high == 0) + return (quotient, (high: F(remainder.mid), low: remainder.low)) +} + +/// Returns the quotient and remainder after dividing a double-width +/// magnitude `lhs` by a double-width magnitude `rhs`. +func _wideDivide22( + _ lhs: _Wide2, by rhs: _Wide2 +) -> (quotient: _Wide2, remainder: _Wide2) { + guard _fastPath(rhs > (F.zero, F.Magnitude.zero)) else { + fatalError("Division by zero") + } + guard rhs < lhs else { + if _fastPath(rhs > lhs) { return (quotient: (0, 0), remainder: lhs) } + return (quotient: (0, 1), remainder: (0, 0)) + } + + if lhs.high == F.zero { + let (quotient, remainder) = + lhs.low.quotientAndRemainder(dividingBy: rhs.low) + return ((0, quotient), (0, remainder)) + } + + if rhs.high == F.zero { + let (x, a) = lhs.high.quotientAndRemainder(dividingBy: F(rhs.low)) + let (y, b) = (a == F.zero + ? lhs.low.quotientAndRemainder(dividingBy: rhs.low) + : rhs.low.dividingFullWidth((F.Magnitude(a), lhs.low))) + return (quotient: (high: x, low: y), remainder: (high: 0, low: b)) + } + + // Left shift both rhs and lhs, then divide and right shift the remainder. + let shift = F.Magnitude(rhs.high.leadingZeroBitCount) + let rollover = F.Magnitude(F.bitWidth + F.Magnitude.bitWidth) &- shift + let rhs = _wideMaskedShiftLeft(rhs, shift) + let high = _wideMaskedShiftRight(lhs, rollover).low + let lhs = _wideMaskedShiftLeft(lhs, shift) + let (quotient, remainder) = _wideDivide32( + (F(high), F.Magnitude(lhs.high), lhs.low), by: rhs) + return ( + quotient: (high: 0, low: F.Magnitude(quotient)), + remainder: _wideMaskedShiftRight(remainder, shift)) +} + +/// Returns the quotient and remainder after dividing a quadruple-width +/// magnitude `lhs` by a double-width magnitude `rhs`. +func _wideDivide42( + _ lhs: _Wide4, by rhs: _Wide2 +) -> (quotient: _Wide2, remainder: _Wide2) { + guard _fastPath(rhs > (F.zero, F.Magnitude.zero)) else { + fatalError("Division by zero") + } + guard _fastPath(rhs >= lhs.high) else { + fatalError("Division results in an overflow") + } + + if lhs.high == (F.zero, F.Magnitude.zero) { + return _wideDivide22((high: F(lhs.low.high), low: lhs.low.low), by: rhs) + } + + if rhs.high == F.zero { + let a = F.Magnitude(lhs.high.high) % rhs.low + let b = (a == F.Magnitude.zero + ? lhs.high.low % rhs.low + : rhs.low.dividingFullWidth((a, lhs.high.low)).remainder) + let (x, c) = (b == F.Magnitude.zero + ? lhs.low.high.quotientAndRemainder(dividingBy: rhs.low) + : rhs.low.dividingFullWidth((b, lhs.low.high))) + let (y, d) = (c == F.Magnitude.zero + ? lhs.low.low.quotientAndRemainder(dividingBy: rhs.low) + : rhs.low.dividingFullWidth((c, lhs.low.low))) + return (quotient: (high: F(x), low: y), remainder: (high: 0, low: d)) + } + + // Left shift both rhs and lhs, then divide and right shift the remainder. + let shift = F.Magnitude(rhs.high.leadingZeroBitCount) + let rollover = F.Magnitude(F.bitWidth + F.Magnitude.bitWidth) &- shift + let rhs = _wideMaskedShiftLeft(rhs, shift) + + let lh1 = _wideMaskedShiftLeft(lhs.high, shift) + let lh2 = _wideMaskedShiftRight(lhs.low, rollover) + let lhs = ( + high: (high: lh1.high | F(lh2.high), low: lh1.low | lh2.low), + low: _wideMaskedShiftLeft(lhs.low, shift)) + + if + lhs.high.high == F.Magnitude.zero, + (high: F(lhs.high.low), low: lhs.low.high) < rhs + { + let (quotient, remainder) = _wideDivide32( + (F(lhs.high.low), lhs.low.high, lhs.low.low), + by: rhs) + return ( + quotient: (high: 0, low: F.Magnitude(quotient)), + remainder: _wideMaskedShiftRight(remainder, shift)) + } + let (x, a) = _wideDivide32( + (lhs.high.high, lhs.high.low, lhs.low.high), by: rhs) + let (y, b) = _wideDivide32((a.high, a.low, lhs.low.low), by: rhs) + return ( + quotient: (high: x, low: F.Magnitude(y)), + remainder: _wideMaskedShiftRight(b, shift)) +} + diff --git a/Sources/UInt128/Int128.swift b/Sources/UInt128/Int128.swift index 5bb2df0..cf50912 100644 --- a/Sources/UInt128/Int128.swift +++ b/Sources/UInt128/Int128.swift @@ -1,352 +1,288 @@ + +//===----------------------------------------------------------------------===// // -// Int128.swift +// This source file is part of the Swift.org open source project // +// Copyright (c) 2024 Apple Inc. and the Swift project authors +// Licensed under Apache License v2.0 with Runtime Library Exception // -// Created by Mike Griebling on 19.08.2024. +// See https://swift.org/LICENSE.txt for license information +// See https://swift.org/CONTRIBUTORS.txt for the list of Swift project authors // - -/// A 128-bit signed integer type. -public struct Int128 : Codable { - public typealias High = Int64 - public typealias Low = UInt64 - - /// The low part of the value. - internal var low: Low - public var _low: Low { low } - - /// The high part of the value. - internal var high: High - public var _high: High { high } - - /// Creates a new instance from the given tuple of high and low parts. - /// - /// - Parameter value: The tuple to use as the source of the new instance's - /// high and low parts. - public init(_ value: (high: High, low: Low)) { - self.low = value.low - self.high = value.high - } - - public init(high: High, low: Low) { - self.low = low - self.high = high +//===----------------------------------------------------------------------===// +// Modified for public use in pre-Swift 6 installations as a precursor +// to using Swift 6. Modified by Michael Griebling + +// MARK: Memory layout + +/// A 128-bit signed integer value type. +@frozen +public struct Int128: Sendable, Codable { +#if _endian(little) + public var _low: UInt64 + public var _high: Int64 +#else + public var _high: Int64 + public var _low: UInt64 +#endif + + @_transparent + public init(_low: UInt64, _high: Int64) { + self._low = _low + self._high = _high } - - public init(_high: High, _low: Low) { - self.low = _low - self.high = _high - } - - public init() { - self.init(high: 0, low: 0) - } - - public init(bitPattern v: UInt128) { - self.init(high: High(bitPattern: v.high), low: v.low) + + public init(_ value: (high: Int64, low: UInt64)) { + self._low = value.low + self._high = value.high } - public static var zero: Self { Self(high: 0, low: 0) } - public static var one: Self { Self(high: 0, low: 1) } -} + public var _value: Int128 { + @_transparent + get { + self + } -extension Int128 { - - - /// Converts the Int128 `self` into a string with a given `radix`. The - /// radix string can use uppercase characters if `uppercase` is true. - /// - /// Why convert numbers in chunks? This approach reduces the number of - /// calls to division and modulo functions so is more efficient than a naïve - /// digit-based approach. Ideally this code should be in the String module. - /// Further optimizations may be possible by using unchecked string buffers. - internal func _description(radix:Int=10, uppercase:Bool=false) -> String { - let str = self.magnitude._description(radix:radix, uppercase: uppercase) - if self._isNegative { - return "-" + str + @_transparent + set { + self = Self(newValue) } - return str } -} -extension String { - public init(_ n: Int128, radix: Int = 10, uppercase: Bool = false) { - self = n._description(radix: radix, uppercase: uppercase) + @_transparent + public init(_ _value: Int128) { + self = _value } -} + -extension Int128 : CustomStringConvertible { - public var description: String { - _description(radix: 10) + /// Creates a new instance with the same memory representation as the given + /// value. + /// + /// This initializer does not perform any range or overflow checking. The + /// resulting instance may not have the same numeric value as + /// `bitPattern`---it is only guaranteed to use the same pattern of bits in + /// its binary representation. + /// + /// - Parameter bitPattern: A value to use as the source of the new instance's + /// binary representation. + @_transparent + public init(bitPattern: UInt128) { + self.init(bitPattern._value) } } -extension Int128: CustomDebugStringConvertible { - public var debugDescription: String { - description +extension Int128 { + public var components: (high: Int64, low: UInt64) { + @inline(__always) get { (_high, _low) } + @inline(__always) set { (self._high, self._low) = (newValue.high, newValue.low) } } } -extension Int128 : ExpressibleByIntegerLiteral { - public typealias IntegerLiteralType = StaticBigInt - - public init(integerLiteral value: StaticBigInt) { - precondition(Low.bitWidth == 64, "Expecting 64-bit UInt") - precondition(value.bitWidth <= Self.bitWidth, - "\(value.bitWidth)-bit literal too large for Int128") - self.init(high: High(bitPattern:UInt64(value[1])), low: Low(value[0])) - } -} +// MARK: - Constants extension Int128 { - public init?(_ text: S, radix: Int = 10) { - guard !text.isEmpty else { return nil } - guard 2...36 ~= radix else { return nil } - self.init() - if let x = Self.value(from: text, radix: radix) { - self = x - } else { - return nil - } - } - public init?(_ description: String) { - self.init(description, radix:10) + @_transparent + public static var zero: Self { + Self(_low: 0, _high: 0) } -} -extension Int128 { - /// This method breaks `string` into pieces to reduce overhead of the - /// multiplications and allow UInt64 to work in converting larger numbers. - static func value( - from string: S, radix: Int = 10) -> Self? { - // Handles signs and leading zeros - var s = String(string) - var isNegative = false - if s.hasPrefix("-") { isNegative = true; s.removeFirst() } - - // Translate the string into a number - guard let r = UInt128.value(from: s, radix: radix) else { return nil } - if isNegative { - return -Self(r) - } - return Self(r) + + @_transparent + public static var min: Self { + Self(_low: .zero, _high: .min) } - -} -extension Int128: Equatable { - public static func == (_ lhs: Self, _ rhs: Self) -> Bool { - return (lhs.high, lhs.low) == (rhs.high, rhs.low) + + @_transparent + public static var max: Self { + Self(_low: .max, _high: .max) } } -extension Int128: Comparable { - public static func < (_ lhs: Self, _ rhs: Self) -> Bool { - (lhs.high, lhs.low) < (rhs.high, rhs.low) - } -} +// MARK: - Conversions from other integers -extension Int128: Hashable { - public func hash(into hasher: inout Hasher) { - hasher.combine(low) - hasher.combine(high) +extension Int128: ExpressibleByIntegerLiteral { + + public typealias IntegerLiteralType = StaticBigInt + + public init(integerLiteral value: IntegerLiteralType) { + precondition(UInt64.bitWidth == 64, "Expecting 64-bit UInt") + precondition(value.bitWidth <= Self.bitWidth, + "\(value.bitWidth)-bit literal too large for Int128") + self.init(_low: UInt64(value[0]), _high: Int64(bitPattern:UInt64(value[1]))) } -} -extension Int128 { - public var components: (high: High, low: Low) { - @inline(__always) get { (high, low) } - @inline(__always) set { (self.high, self.low) = (newValue.high, newValue.low) } + @inlinable + public init?(exactly source: T) where T: BinaryInteger { + guard let high = Int64(exactly: source >> 64) else { return nil } + let low = UInt64(truncatingIfNeeded: source) + self.init(_low: low, _high: high) } -} -extension Int128: AdditiveArithmetic { - public static func - (_ lhs: Self, _ rhs: Self) -> Self { - let (result, overflow) = lhs.subtractingReportingOverflow(rhs) - precondition(!overflow, "Overflow in -") - return result + @inlinable + public init(_ source: T) where T: BinaryInteger { + guard let value = Self(exactly: source) else { + fatalError("value cannot be converted to Int128 because it is outside the representable range") + } + self = value } - public static func -= (_ lhs: inout Self, _ rhs: Self) { - let (result, overflow) = lhs.subtractingReportingOverflow(rhs) - precondition(!overflow, "Overflow in -=") - lhs = result + @inlinable + public init(clamping source: T) where T: BinaryInteger { + guard let value = Self(exactly: source) else { + self = source < .zero ? .min : .max + return + } + self = value } - public static func + (_ lhs: Self, _ rhs: Self) -> Self { - let (result, overflow) = lhs.addingReportingOverflow(rhs) - precondition(!overflow, "Overflow in +") - return result + @inlinable + public init(truncatingIfNeeded source: T) where T: BinaryInteger { + let high = Int64(truncatingIfNeeded: source >> 64) + let low = UInt64(truncatingIfNeeded: source) + self.init(_low: low, _high: high) } - public static func += (_ lhs: inout Self, _ rhs: Self) { - let (result, overflow) = lhs.addingReportingOverflow(rhs) - precondition(!overflow, "Overflow in +=") - lhs = result + @_transparent + public init(_truncatingBits source: UInt) { + self.init(_low: UInt64(source), _high: .zero) } } -extension Int128: Numeric { - public typealias Magnitude = UInt128 +// MARK: - Conversions from Binary floating-point - public var magnitude: Magnitude { - var result = UInt128(bitPattern: self) - guard high._isNegative else { return result } - result.high = ~result.high - result.low = ~result.low - return result.addingReportingOverflow(.one).partialValue - } - - public init(_ magnitude: Magnitude) { - self.init(high: High(magnitude.high), low: magnitude.low) - } - - public init(_ source: T) { - guard let result = Self(exactly: source) else { - preconditionFailure("Value is outside the representable range") - } - self = result - } - - public init?(exactly source: T) { - // Can't represent a negative 'source' if Self is unsigned. - guard Self.isSigned || source >= 0 else { - return nil - } - - // Is 'source' entirely representable in Low? - if let low = Low(exactly: source.magnitude) { - self.init(source._isNegative ? (~0, low._twosComplement) : (0, low)) +extension Int128 { + + @inlinable + public init?(exactly source: T) where T: BinaryFloatingPoint { + if source.magnitude < 0x1.0p64 { + guard let magnitude = UInt64(exactly: source.magnitude) else { + return nil + } + self = Int128(_low: magnitude, _high: 0) + if source < 0 { self = -self } } else { - // At this point we know source.bitWidth > High.bitWidth, or else we - // would've taken the first branch. - let lowInT = source & T(~0 as Low) - let highInT = source >> Low.bitWidth - - let low = Low(lowInT) - guard let high = High(exactly: highInT) else { + let highAsFloat = (source * 0x1.0p-64).rounded(.down) + guard let high = Int64(exactly: highAsFloat) else { return nil } + // Because we already ruled out |source| < 0x1.0p64, we know that + // high contains at least one value bit, and so Sterbenz' lemma + // allows us to compute an exact residual: + guard let low = UInt64(exactly: source - 0x1.0p64*highAsFloat) else { return nil } - self.init(high: high, low: low) + self.init(_low: low, _high: high) } } - public static func * (_ lhs: Self, _ rhs: Self) -> Self { - let (result, overflow) = lhs.multipliedReportingOverflow(by: rhs) - precondition(!overflow, "Overflow in *") - return result - } - - public static func *= (_ lhs: inout Self, _ rhs: Self) { - let (result, overflow) = lhs.multipliedReportingOverflow(by: rhs) - precondition(!overflow, "Overflow in *=") - lhs = result - } -} - -extension Int128 { - public struct Words { - internal var _value: Int128 - - internal init(_ value: Int128) { - self._value = value + @inlinable + public init(_ source: T) where T: BinaryFloatingPoint { + guard let value = Self(exactly: source.rounded(.towardZero)) else { + fatalError("value cannot be converted to Int128 because it is outside the representable range") } + self = value } } -extension Int128.Words: RandomAccessCollection { - public typealias Element = UInt - public typealias Index = Int - public typealias Indices = Range - public typealias SubSequence = Slice - - public var count: Int { 128 / UInt.bitWidth } - public var startIndex: Int { 0 } - public var endIndex: Int { count } - public var indices: Indices { startIndex ..< endIndex } - public func index(after i: Int) -> Int { i + 1 } - public func index(before i: Int) -> Int { i - 1 } +// MARK: - Non-arithmetic utility conformances - public subscript(position: Int) -> UInt { - get { - precondition(position >= 0 && position < endIndex, - "Word index out of range") - let shift = position &* UInt.bitWidth - precondition(shift < Int128.bitWidth) - - let r = _wideMaskedShiftRight( - _value.components, UInt64(truncatingIfNeeded: shift)) - return r.low._lowWord - } +extension Int128: Equatable { + @_transparent + public static func ==(a: Self, b: Self) -> Bool { + (a._high, a._low) == (b._high, b._low) } } -extension Int128: FixedWidthInteger { - public var _lowWord: UInt { - low._lowWord +extension Int128: Comparable { + @_transparent + public static func <(a: Self, b: Self) -> Bool { + (a._high, a._low) < (b._high, b._low) } +} - public var words: Words { - Words(self) +extension Int128: Hashable { + @inlinable + public func hash(into hasher: inout Hasher) { + hasher.combine(_low) + hasher.combine(_high) } +} - public static var isSigned: Bool { - true +extension Int128 { + /// Converts the Int128 `self` into a string with a given `radix`. The + /// radix string can use uppercase characters if `uppercase` is true. + /// + /// Why convert numbers in chunks? This approach reduces the number of + /// calls to division and modulo functions so is more efficient than a naïve + /// digit-based approach. Ideally this code should be in the String module. + /// Further optimizations may be possible by using unchecked string buffers. + internal func _description(radix:Int=10, uppercase:Bool=false) -> String { + let str = self.magnitude._description(radix:radix, uppercase: uppercase) + if self < 0 { + return "-" + str + } + return str } +} - public static var max: Self { - self.init(high: High.max, low: Low.max) +extension Int128 : CustomStringConvertible { + public var description: String { + _description(radix: 10) } +} - public static var min: Self { - self.init(high: High.min, low: Low.min) +extension Int128: CustomDebugStringConvertible { + public var debugDescription: String { + description } +} - public static var bitWidth: Int { 128 } +// MARK: - Overflow-reporting arithmetic - public func addingReportingOverflow( - _ rhs: Self - ) -> (partialValue: Self, overflow: Bool) { - let (r, o) = _wideAddReportingOverflow22(self.components, rhs.components) +extension Int128 { + + public func addingReportingOverflow(_ other: Self) -> (partialValue: Self, overflow: Bool) { + let (r, o) = _wideAddReportingOverflow22(self.components, other.components) return (Self(r), o) } - public func subtractingReportingOverflow( - _ rhs: Self - ) -> (partialValue: Self, overflow: Bool) { - let (r, o) = _wideSubtractReportingOverflow22( - self.components, rhs.components) + public func subtractingReportingOverflow(_ other: Self) -> (partialValue: Self, overflow: Bool) { + let (r, o) = _wideSubtractReportingOverflow22(self.components, other.components) return (Self(r), o) } - public func multipliedReportingOverflow( - by rhs: Self - ) -> (partialValue: Self, overflow: Bool) { - let isNegative = (self._isNegative != rhs._isNegative) - let (p, overflow) = self.magnitude.multipliedReportingOverflow( - by: rhs.magnitude) - let r = Int128(bitPattern: isNegative ? p._twosComplement : p) - return (r, overflow || (isNegative != r._isNegative)) - } - - /// Returns the product of this value and the given 64-bit value, along with a - /// Boolean value indicating whether overflow occurred in the operation. - public func multipliedReportingOverflow( - by other: UInt64 - ) -> (partialValue: Self, overflow: Bool) { - let isNegative = self._isNegative - let (p, overflow) = self.magnitude.multipliedReportingOverflow(by: other) - let r = Int128(bitPattern: isNegative ? p._twosComplement : p) - return (r, overflow || (isNegative != r._isNegative)) + @_transparent + public func multipliedReportingOverflow(by other: Self) -> (partialValue: Self, overflow: Bool) { + let a = self.magnitude + let b = other.magnitude + let (magnitude, overflow) = a.multipliedReportingOverflow(by: b) + if (self < 0) != (other < 0) { + let partialValue = Self(bitPattern: 0 &- magnitude) + return (partialValue, overflow || partialValue > 0) + } else { + let partialValue = Self(bitPattern: magnitude) + return (partialValue, overflow || partialValue < 0) + } } + + public func dividingFullWidth( + _ dividend: (high: Self, low: Self.Magnitude) + ) -> (quotient: Self, remainder: Self) { + let m = _wideMagnitude22(dividend) + let (quotient, remainder) = self.magnitude.dividingFullWidth(m) - public func multiplied(by other: UInt64) -> Self { - let r = multipliedReportingOverflow(by: other) - precondition(!r.overflow, "Overflow in multiplication") - return r.partialValue + let isNegative = (self._high < 0) != (dividend.high._high < 0) + let quotient_ = (isNegative + ? (quotient == Self.min.magnitude ? Self.min : 0 - Self(quotient)) + : Self(quotient)) + let remainder_ = (dividend.high._high < 0 + ? 0 - Self(remainder) + : Self(remainder)) + return (quotient_, remainder_) } - + + // Need to use this because the runtime routine doesn't exist public func quotientAndRemainder( dividingBy other: Self ) -> (quotient: Self, remainder: Self) { @@ -354,19 +290,18 @@ extension Int128: FixedWidthInteger { self.magnitude.components, by: other.magnitude.components) let quotient = Self.Magnitude(q) let remainder = Self.Magnitude(r) - let isNegative = (self.high._isNegative != other.high._isNegative) + let isNegative = (self._high < 0) != (other._high < 0) let quotient_ = (isNegative ? quotient == Self.min.magnitude ? Self.min : 0 - Self(quotient) : Self(quotient)) - let remainder_ = (self.high._isNegative + let remainder_ = (self._high < 0) ? 0 - Self(remainder) - : Self(remainder)) + : Self(remainder) return (quotient_, remainder_) } - public func dividedReportingOverflow( - by other: Self - ) -> (partialValue: Self, overflow: Bool) { + @_transparent + public func dividedReportingOverflow(by other: Self) -> (partialValue: Self, overflow: Bool) { if other == Self.zero { return (self, true) } @@ -376,6 +311,7 @@ extension Int128: FixedWidthInteger { return (quotientAndRemainder(dividingBy: other).quotient, false) } + @_transparent public func remainderReportingOverflow( dividingBy other: Self ) -> (partialValue: Self, overflow: Bool) { @@ -387,581 +323,198 @@ extension Int128: FixedWidthInteger { } return (quotientAndRemainder(dividingBy: other).remainder, false) } +} - public func multipliedFullWidth( - by other: Self - ) -> (high: Self, low: Magnitude) { - let isNegative = Self.isSigned && (self._isNegative != other._isNegative) - - func sum(_ x: Low, _ y: Low) -> (high: Low, low: Low) { - let (sum, overflow) = x.addingReportingOverflow(y) - return (overflow ? 1 : 0, sum) - } - - func sum(_ x: Low, _ y: Low, _ z: Low) -> (high: Low, low: Low) { - let s1 = sum(x, y) - let s2 = sum(s1.low, z) - return (s1.high &+ s2.high, s2.low) - } - - func sum( - _ x0: Low, _ x1: Low, _ x2: Low, _ x3: Low - ) -> (high: Low, low: Low) { - let s1 = sum(x0, x1) - let s2 = sum(x2, x3) - let s = sum(s1.low, s2.low) - return (s1.high &+ s2.high &+ s.high, s.low) - } - - let lhs = self.magnitude - let rhs = other.magnitude +// MARK: - AdditiveArithmetic conformance - let a = rhs.low.multipliedFullWidth(by: lhs.low) - let b = rhs.low.multipliedFullWidth(by: lhs.high) - let c = rhs.high.multipliedFullWidth(by: lhs.low) - let d = rhs.high.multipliedFullWidth(by: lhs.high) +extension Int128: AdditiveArithmetic { + + @_transparent + public static func +(a: Self, b: Self) -> Self { + let (result, overflow) = a.addingReportingOverflow(b) + assert(!overflow, "arithmetic overflow") + return result + } - let mid1 = sum(a.high, b.low, c.low) - let mid2 = sum(b.high, c.high, mid1.high, d.low) + @_transparent + public static func -(a: Self, b: Self) -> Self { + let (result, overflow) = a.subtractingReportingOverflow(b) + assert(!overflow, "arithmetic overflow") + return result + } +} - let high = Int128( - high: High(d.high &+ mid2.high), // Note: this addition will never wrap - low: mid2.low) - let low = UInt128( - high: mid1.low, - low: a.low) +// MARK: - Multiplication and division - if isNegative { - let (lowComplement, overflow) = (~low).addingReportingOverflow(.one) - return (~high + (overflow ? 1 : 0), lowComplement) - } else { - return (high, low) - } +extension Int128 { + + @_transparent + public static func *(a: Self, b: Self) -> Self { + let (result, overflow) = a.multipliedReportingOverflow(by: b) + assert(!overflow, "arithmetic overflow") + return result } - public func dividingFullWidth( - _ dividend: (high: Self, low: Self.Magnitude) - ) -> (quotient: Self, remainder: Self) { - let m = _wideMagnitude22(dividend) - let (quotient, remainder) = self.magnitude.dividingFullWidth(m) - - let isNegative = (self.high._isNegative != dividend.high.high._isNegative) - let quotient_ = (isNegative - ? (quotient == Self.min.magnitude ? Self.min : 0 - Self(quotient)) - : Self(quotient)) - let remainder_ = (dividend.high.high._isNegative - ? 0 - Self(remainder) - : Self(remainder)) - return (quotient_, remainder_) + @_transparent + public static func *=(a: inout Self, b: Self) { + a = a * b } - #if false // This triggers an unexpected type checking issue with `~0` in an - // lldb test - public static prefix func ~(x: Self) -> Self { - Self(high: ~x.high, low: ~x.low) + @_transparent + public static func /(a: Self, b: Self) -> Self { + a.dividedReportingOverflow(by: b).partialValue } - #endif - public static func &= (_ lhs: inout Self, _ rhs: Self) { - lhs.low &= rhs.low - lhs.high &= rhs.high + @_transparent + public static func /=(a: inout Self, b: Self) { + a = a / b } - public static func |= (_ lhs: inout Self, _ rhs: Self) { - lhs.low |= rhs.low - lhs.high |= rhs.high + @_transparent + public static func %(a: Self, b: Self) -> Self { + a.remainderReportingOverflow(dividingBy: b).partialValue } - public static func ^= (_ lhs: inout Self, _ rhs: Self) { - lhs.low ^= rhs.low - lhs.high ^= rhs.high + @_transparent + public static func %=(a: inout Self, b: Self) { + a = a % b } +} - public static func <<= (_ lhs: inout Self, _ rhs: Self) { - if Self.isSigned && rhs._isNegative { - lhs >>= 0 - rhs - return - } +// MARK: - Numeric conformance - // Shift is larger than this type's bit width. - if rhs.high != High.zero || rhs.low >= Self.bitWidth { - lhs = 0 - return - } +extension Int128: SignedNumeric { + + public typealias Magnitude = UInt128 - lhs &<<= rhs + @_transparent + public var magnitude: Magnitude { + let unsignedSelf = UInt128(_value) + return self < 0 ? 0 &- unsignedSelf : unsignedSelf } +} - public static func >>= (_ lhs: inout Self, _ rhs: Self) { - if Self.isSigned && rhs._isNegative { - lhs <<= 0 - rhs - return - } +// MARK: - BinaryInteger conformance - // Shift is larger than this type's bit width. - if rhs.high != High.zero || rhs.low >= Self.bitWidth { - lhs = lhs._isNegative ? ~0 : 0 - return - } - - lhs &>>= rhs +extension Int128: BinaryInteger { + + public var words: UInt128.Words { + Words(_value: UInt128(_value)) } - public static func &<< (lhs: Self, rhs: Self) -> Self { - Self(_wideMaskedShiftLeft(lhs.components, rhs.low)) + @_transparent + public static func &=(a: inout Self, b: Self) { + a._low &= b._low + a._high &= b._high } - public static func &>> (lhs: Self, rhs: Self) -> Self { - Self(_wideMaskedShiftRight(lhs.components, rhs.low)) + + @_transparent + public static func |=(a: inout Self, b: Self) { + a._low |= b._low + a._high |= b._high } - public static func &<<= (lhs: inout Self, rhs: Self) { - _wideMaskedShiftLeft(&lhs.components, rhs.low) + + @_transparent + public static func ^=(a: inout Self, b: Self) { + a._low ^= b._low + a._high ^= b._high } - public static func &>>= (lhs: inout Self, rhs: Self) { - _wideMaskedShiftRight(&lhs.components, rhs.low) + public static func &>>=(a: inout Self, b: Self) { + _wideMaskedShiftRight(&a.components, b._low) } - public static func / ( - _ lhs: Self, _ rhs: Self - ) -> Self { - var lhs = lhs - lhs /= rhs - return lhs + public static func &<<=(a: inout Self, b: Self) { + _wideMaskedShiftLeft(&a.components, b._low) } - public static func /= (_ lhs: inout Self, _ rhs: Self) { - let (result, overflow) = lhs.dividedReportingOverflow(by: rhs) - precondition(!overflow, "Overflow in /=") - lhs = result + @_transparent + public var trailingZeroBitCount: Int { + _low == 0 ? 64 + _high.trailingZeroBitCount : _low.trailingZeroBitCount } - public static func % ( - _ lhs: Self, _ rhs: Self - ) -> Self { - var lhs = lhs - lhs %= rhs - return lhs + @_transparent + public var _lowWord: UInt { + UInt(_low) } +} - public static func %= (_ lhs: inout Self, _ rhs: Self) { - let (result, overflow) = lhs.remainderReportingOverflow(dividingBy: rhs) - precondition(!overflow, "Overflow in %=") - lhs = result +// MARK: - FixedWidthInteger conformance + +extension Int128: FixedWidthInteger, SignedInteger { + + @_transparent + public static var bitWidth: Int { 128 } + + @_transparent + public var nonzeroBitCount: Int { + _high.nonzeroBitCount &+ _low.nonzeroBitCount } - public init(_truncatingBits bits: UInt) { - low = Low(_truncatingBits: bits) - high = High(_truncatingBits: bits >> UInt(Low.bitWidth)) + @_transparent + public var leadingZeroBitCount: Int { + _high == 0 ? 64 + _low.leadingZeroBitCount : _high.leadingZeroBitCount } - public init(integerLiteral x: Int64) { - self.init(x) + @_transparent + public var byteSwapped: Self { + return Self(_low: UInt64(bitPattern: _high.byteSwapped), + _high: Int64(bitPattern: _low.byteSwapped)) } - public var leadingZeroBitCount: Int { - (high == High.zero - ? High.bitWidth + low.leadingZeroBitCount - : high.leadingZeroBitCount) +// @_transparent +// public static func &*(lhs: Self, rhs: Self) -> Self { +// // The default &* on FixedWidthInteger calls multipliedReportingOverflow, +// // which we want to avoid here, since the overflow check is expensive +// // enough that we wouldn't want to inline it into most callers. +// // Self(Builtin.mul_Int128(lhs._value, rhs._value)) +// let (high: h, low: l) = lhs.multipliedFullWidth(by: rhs) +// return Self(_low:l, _high: h) +// } +} + +// MARK: - Integer comparison type inference + +extension Int128 { + // IMPORTANT: The following four apparently unnecessary overloads of + // comparison operations are necessary for literal comparands to be + // inferred as the desired type. + @_transparent @_alwaysEmitIntoClient + public static func != (lhs: Self, rhs: Self) -> Bool { + return !(lhs == rhs) } - public var trailingZeroBitCount: Int { - (low == Low.zero - ? Low.bitWidth + high.trailingZeroBitCount - : low.trailingZeroBitCount) + @_transparent @_alwaysEmitIntoClient + public static func <= (lhs: Self, rhs: Self) -> Bool { + return !(rhs < lhs) } - public var nonzeroBitCount: Int { - high.nonzeroBitCount + low.nonzeroBitCount + @_transparent @_alwaysEmitIntoClient + public static func >= (lhs: Self, rhs: Self) -> Bool { + return !(lhs < rhs) } - public var byteSwapped: Self { - Self( - high: High(truncatingIfNeeded: low.byteSwapped), - low: Low(truncatingIfNeeded: high.byteSwapped)) + @_transparent @_alwaysEmitIntoClient + public static func > (lhs: Self, rhs: Self) -> Bool { + return rhs < lhs } } -extension Int128: Sendable {} - // MARK: - BinaryFloatingPoint Interoperability extension BinaryFloatingPoint { public init(_ value: Int128) { - precondition(value.high == 0, + precondition(value._high == 0, "Value is too large to fit into a BinaryFloatingPoint.") - self.init(value.low) + self.init(value._low) } public init?(exactly value: Int128) { - if value.high > 0 { + if value._high > 0 { return nil } - self = Self(value.low) + self = Self(value._low) } } -extension BinaryInteger { - @inline(__always) - var _isNegative: Bool { self < Self.zero } -} - -extension FixedWidthInteger { - @inline(__always) - var _twosComplement: Self { - ~self &+ 1 - } -} - - -extension Int128 { - internal func dividedBy1e18() -> (quotient: Self, remainder: Self) { - let m = Int128(high: 664613997892457936, low: 8336148766501648893) - var q = self.multipliedFullWidth(by: m).high - q &>>= 55 - // Add 1 to q if self is negative - q &+= Int128(bitPattern: UInt128(bitPattern: self) &>> 127) - let r = self &- q &* (1000000000000000000 as Int128) - return (q, r) - } -} -extension Int128 { - internal func dividedBy1e15() -> (quotient: Self, remainder: Self) { - let m = Int128(high: -8062150356639896359, low: 1125115960621402641) - var q = self.multipliedFullWidth(by: m).high - q &+= self - q &>>= 49 - // Add 1 to q if self is negative - q &+= Int128(bitPattern: UInt128(bitPattern: self) &>> 127) - let r = self &- q &* (1000000000000000 as Int128) - return (q, r) - } -} -extension Int128 { - internal func dividedBy1e12() -> (quotient: Self, remainder: Self) { - let m = Int128(high: 2535301200456458802, low: 18325113820324532597) - var q = self.multipliedFullWidth(by: m).high - q &>>= 37 - // Add 1 to q if self is negative - q &+= Int128(bitPattern: UInt128(bitPattern: self) &>> 127) - let r = self &- q &* (1000000000000 as Int128) - return (q, r) - } -} -extension Int128 { - internal func dividedBy1e9() -> (quotient: Self, remainder: Self) { - let m = Int128(high: 4951760157141521099, low: 11003425581274142745) - var q = self.multipliedFullWidth(by: m).high - q &>>= 28 - // Add 1 to q if self is negative - q &+= Int128(bitPattern: UInt128(bitPattern: self) &>> 127) - let r = self &- q &* (1000000000 as Int128) - return (q, r) - } -} -extension Int128 { - internal func dividedBy1e6() -> (quotient: Self, remainder: Self) { - let m = Int128(high: 604462909807314587, low: 6513323971497958161) - var q = self.multipliedFullWidth(by: m).high - q &>>= 15 - // Add 1 to q if self is negative - q &+= Int128(bitPattern: UInt128(bitPattern: self) &>> 127) - let r = self &- q &* (1000000 as Int128) - return (q, r) - } -} -extension Int128 { - internal func dividedBy1e3() -> (quotient: Self, remainder: Self) { - let m = Int128(high: 4722366482869645213, low: 12838933875301847925) - var q = self.multipliedFullWidth(by: m).high - q &>>= 8 - // Add 1 to q if self is negative - q &+= Int128(bitPattern: UInt128(bitPattern: self) &>> 127) - let r = self &- q &* (1000 as Int128) - return (q, r) - } -} - -typealias _Wide2 = - (high: F, low: F.Magnitude) - -typealias _Wide3 = - (high: F, mid: F.Magnitude, low: F.Magnitude) - -typealias _Wide4 = - (high: _Wide2, low: (high: F.Magnitude, low: F.Magnitude)) - -private func _wideMagnitude22( - _ v: _Wide2 -) -> _Wide2 { - var result = (high: F.Magnitude(truncatingIfNeeded: v.high), low: v.low) - guard F.isSigned && v.high._isNegative else { return result } - result.high = ~result.high - result.low = ~result.low - return _wideAddReportingOverflow22(result, (high: 0, low: 1)).partialValue -} - -func _wideAddReportingOverflow22( - _ lhs: _Wide2, _ rhs: _Wide2 -) -> (partialValue: _Wide2, overflow: Bool) { - let (low, lowOverflow) = lhs.low.addingReportingOverflow(rhs.low) - let (high, highOverflow) = lhs.high.addingReportingOverflow(rhs.high) - let overflow = highOverflow || high == F.max && lowOverflow - let result = (high: high &+ (lowOverflow ? 1 : 0), low: low) - return (partialValue: result, overflow: overflow) -} - -private func _wideAdd22( - _ lhs: inout _Wide2, _ rhs: _Wide2 -) { - let (result, overflow) = _wideAddReportingOverflow22(lhs, rhs) - precondition(!overflow, "Overflow in +") - lhs = result -} - -func _wideAddReportingOverflow33( - _ lhs: _Wide3, _ rhs: _Wide3 -) -> ( - partialValue: _Wide3, - overflow: Bool -) { - let (low, lowOverflow) = - _wideAddReportingOverflow22((lhs.mid, lhs.low), (rhs.mid, rhs.low)) - let (high, highOverflow) = lhs.high.addingReportingOverflow(rhs.high) - let result = (high: high &+ (lowOverflow ? 1 : 0), mid: low.high, low: low.low) - let overflow = highOverflow || (high == F.max && lowOverflow) - return (partialValue: result, overflow: overflow) -} - -func _wideSubtractReportingOverflow22( - _ lhs: _Wide2, _ rhs: _Wide2 -) -> (partialValue: (high: F, low: F.Magnitude), overflow: Bool) { - let (low, lowOverflow) = lhs.low.subtractingReportingOverflow(rhs.low) - let (high, highOverflow) = lhs.high.subtractingReportingOverflow(rhs.high) - let result = (high: high &- (lowOverflow ? 1 : 0), low: low) - let overflow = highOverflow || high == F.min && lowOverflow - return (partialValue: result, overflow: overflow) -} - -private func _wideSubtract22( - _ lhs: inout _Wide2, _ rhs: _Wide2 -) { - let (result, overflow) = _wideSubtractReportingOverflow22(lhs, rhs) - precondition(!overflow, "Overflow in -") - lhs = result -} - -private func _wideSubtractReportingOverflow33( - _ lhs: _Wide3, _ rhs: _Wide3 -) -> ( - partialValue: _Wide3, - overflow: Bool -) { - let (low, lowOverflow) = - _wideSubtractReportingOverflow22((lhs.mid, lhs.low), (rhs.mid, rhs.low)) - let (high, highOverflow) = lhs.high.subtractingReportingOverflow(rhs.high) - let result = (high: high &- (lowOverflow ? 1 : 0), mid: low.high, low: low.low) - let overflow = highOverflow || (high == F.min && lowOverflow) - return (partialValue: result, overflow: overflow) -} - -func _wideMaskedShiftLeft( - _ lhs: _Wide2, _ rhs: F.Magnitude -) -> _Wide2 { - let bitWidth = F.bitWidth + F.Magnitude.bitWidth - precondition(bitWidth.nonzeroBitCount == 1) - - // Mask rhs by the bit width of the wide value. - let rhs = rhs & F.Magnitude(bitWidth &- 1) - - guard rhs < F.Magnitude.bitWidth else { - let s = rhs &- F.Magnitude(F.Magnitude.bitWidth) - return (high: F(truncatingIfNeeded: lhs.low &<< s), low: 0) - } - - guard rhs != F.Magnitude.zero else { return lhs } - var high = lhs.high &<< F(rhs) - let rollover = F.Magnitude(F.bitWidth) &- rhs - high |= F(truncatingIfNeeded: lhs.low &>> rollover) - let low = lhs.low &<< rhs - return (high, low) -} - -func _wideMaskedShiftLeft( - _ lhs: inout _Wide2, _ rhs: F.Magnitude -) { - lhs = _wideMaskedShiftLeft(lhs, rhs) -} - -func _wideMaskedShiftRight( - _ lhs: _Wide2, _ rhs: F.Magnitude -) -> _Wide2 { - let bitWidth = F.bitWidth + F.Magnitude.bitWidth - precondition(bitWidth.nonzeroBitCount == 1) - - // Mask rhs by the bit width of the wide value. - let rhs = rhs & F.Magnitude(bitWidth &- 1) - - guard rhs < F.bitWidth else { - let s = F(rhs &- F.Magnitude(F.bitWidth)) - return ( - high: lhs.high._isNegative ? ~0 : 0, - low: F.Magnitude(truncatingIfNeeded: lhs.high &>> s)) - } - - guard rhs != F.zero else { return lhs } - var low = lhs.low &>> rhs - let rollover = F(F.bitWidth) &- F(rhs) - low |= F.Magnitude(truncatingIfNeeded: lhs.high &<< rollover) - let high = lhs.high &>> rhs - return (high, low) -} - -private func _wideMaskedShiftRight( - _ lhs: inout _Wide2, _ rhs: F.Magnitude -) { - lhs = _wideMaskedShiftRight(lhs, rhs) -} - -/// Returns the quotient and remainder after dividing a triple-width magnitude -/// `lhs` by a double-width magnitude `rhs`. -/// -/// This operation is conceptually that described by Burnikel and Ziegler -/// (1998). -private func _wideDivide32( - _ lhs: _Wide3, by rhs: _Wide2 -) -> (quotient: F, remainder: _Wide2) { - // The following invariants are guaranteed to hold by dividingFullWidth or - // quotientAndRemainder before this function is invoked: - precondition(lhs.high != F.zero) - precondition(rhs.high.leadingZeroBitCount == 0) - precondition((high: lhs.high, low: lhs.mid) < rhs) - - // Estimate the quotient with a 2/1 division using just the top digits. - var quotient = (lhs.high == rhs.high - ? F.max - : rhs.high.dividingFullWidth((high: lhs.high, low: lhs.mid)).quotient) - - // Compute quotient * rhs. - // TODO: This could be performed more efficiently. - let p1 = quotient.multipliedFullWidth(by: F(rhs.low)) - let p2 = quotient.multipliedFullWidth(by: rhs.high) - let product = _wideAddReportingOverflow33( - (high: F.zero, mid: F.Magnitude(p1.high), low: p1.low), - (high: p2.high, mid: p2.low, low: .zero)).partialValue - - // Compute the remainder after decrementing quotient as necessary. - var remainder = lhs - - while remainder < product { - quotient = quotient &- 1 - remainder = _wideAddReportingOverflow33( - remainder, - (high: F.zero, mid: F.Magnitude(rhs.high), low: rhs.low)).partialValue - } - remainder = _wideSubtractReportingOverflow33(remainder, product).partialValue - precondition(remainder.high == 0) - return (quotient, (high: F(remainder.mid), low: remainder.low)) -} - -/// Returns the quotient and remainder after dividing a double-width -/// magnitude `lhs` by a double-width magnitude `rhs`. -func _wideDivide22( - _ lhs: _Wide2, by rhs: _Wide2 -) -> (quotient: _Wide2, remainder: _Wide2) { - guard _fastPath(rhs > (F.zero, F.Magnitude.zero)) else { - fatalError("Division by zero") - } - guard rhs < lhs else { - if _fastPath(rhs > lhs) { return (quotient: (0, 0), remainder: lhs) } - return (quotient: (0, 1), remainder: (0, 0)) - } - - if lhs.high == F.zero { - let (quotient, remainder) = - lhs.low.quotientAndRemainder(dividingBy: rhs.low) - return ((0, quotient), (0, remainder)) - } - - if rhs.high == F.zero { - let (x, a) = lhs.high.quotientAndRemainder(dividingBy: F(rhs.low)) - let (y, b) = (a == F.zero - ? lhs.low.quotientAndRemainder(dividingBy: rhs.low) - : rhs.low.dividingFullWidth((F.Magnitude(a), lhs.low))) - return (quotient: (high: x, low: y), remainder: (high: 0, low: b)) - } - - // Left shift both rhs and lhs, then divide and right shift the remainder. - let shift = F.Magnitude(rhs.high.leadingZeroBitCount) - let rollover = F.Magnitude(F.bitWidth + F.Magnitude.bitWidth) &- shift - let rhs = _wideMaskedShiftLeft(rhs, shift) - let high = _wideMaskedShiftRight(lhs, rollover).low - let lhs = _wideMaskedShiftLeft(lhs, shift) - let (quotient, remainder) = _wideDivide32( - (F(high), F.Magnitude(lhs.high), lhs.low), by: rhs) - return ( - quotient: (high: 0, low: F.Magnitude(quotient)), - remainder: _wideMaskedShiftRight(remainder, shift)) -} - -/// Returns the quotient and remainder after dividing a quadruple-width -/// magnitude `lhs` by a double-width magnitude `rhs`. -func _wideDivide42( - _ lhs: _Wide4, by rhs: _Wide2 -) -> (quotient: _Wide2, remainder: _Wide2) { - guard _fastPath(rhs > (F.zero, F.Magnitude.zero)) else { - fatalError("Division by zero") - } - guard _fastPath(rhs >= lhs.high) else { - fatalError("Division results in an overflow") - } - - if lhs.high == (F.zero, F.Magnitude.zero) { - return _wideDivide22((high: F(lhs.low.high), low: lhs.low.low), by: rhs) - } - - if rhs.high == F.zero { - let a = F.Magnitude(lhs.high.high) % rhs.low - let b = (a == F.Magnitude.zero - ? lhs.high.low % rhs.low - : rhs.low.dividingFullWidth((a, lhs.high.low)).remainder) - let (x, c) = (b == F.Magnitude.zero - ? lhs.low.high.quotientAndRemainder(dividingBy: rhs.low) - : rhs.low.dividingFullWidth((b, lhs.low.high))) - let (y, d) = (c == F.Magnitude.zero - ? lhs.low.low.quotientAndRemainder(dividingBy: rhs.low) - : rhs.low.dividingFullWidth((c, lhs.low.low))) - return (quotient: (high: F(x), low: y), remainder: (high: 0, low: d)) - } - - // Left shift both rhs and lhs, then divide and right shift the remainder. - let shift = F.Magnitude(rhs.high.leadingZeroBitCount) - let rollover = F.Magnitude(F.bitWidth + F.Magnitude.bitWidth) &- shift - let rhs = _wideMaskedShiftLeft(rhs, shift) - - let lh1 = _wideMaskedShiftLeft(lhs.high, shift) - let lh2 = _wideMaskedShiftRight(lhs.low, rollover) - let lhs = ( - high: (high: lh1.high | F(lh2.high), low: lh1.low | lh2.low), - low: _wideMaskedShiftLeft(lhs.low, shift)) - - if - lhs.high.high == F.Magnitude.zero, - (high: F(lhs.high.low), low: lhs.low.high) < rhs - { - let (quotient, remainder) = _wideDivide32( - (F(lhs.high.low), lhs.low.high, lhs.low.low), - by: rhs) - return ( - quotient: (high: 0, low: F.Magnitude(quotient)), - remainder: _wideMaskedShiftRight(remainder, shift)) - } - let (x, a) = _wideDivide32( - (lhs.high.high, lhs.high.low, lhs.low.high), by: rhs) - let (y, b) = _wideDivide32((a.high, a.low, lhs.low.low), by: rhs) - return ( - quotient: (high: x, low: F.Magnitude(y)), - remainder: _wideMaskedShiftRight(b, shift)) -} - -extension Int128: SignedNumeric, SignedInteger {} diff --git a/Sources/UInt128/UInt128.docc/UInt128.md b/Sources/UInt128/UInt128.docc/UInt128.md new file mode 100644 index 0000000..bbb3a53 --- /dev/null +++ b/Sources/UInt128/UInt128.docc/UInt128.md @@ -0,0 +1,73 @@ +# ``UInt128`` + +A 128-bit unsigned/signed integer implementation with optimized multiplication, division, and string conversions. +The user interface has been changed to be in sync with Apple's new UInt128/Int128 data types. + +If you're working with macOS 15.0+, iOS 18.0+, or tvOS 18.0+, you won't need +this package any more because Int128/UInt128 are built into those OSes. Just +remove the imports of this package and you should be good. If you use the +internals of this package (low, high) and init(low, high), these will need +to have underscores prefixed on the arguments. Apple does this to indicate internal variables +and methods that you shouldn't use unless you know what you're doing. + +This package is usually around ten times faster than other UInt128 implementations and roughly the same +speed as Apple's implementation. If you find something faster, please let me know. + +## Overview + +The `UInt128` package name is a bit of a misnomer since it actually includes +two datatypes: + +1. ``UInt128`` which is an unsigned 128-bit integer type, and +2. ``Int128`` which is a signed 128-bit integer type. + +## Topics + +### Protocol Support + +These integer types are compliant with the following protocols: + +1. UnsignedInteger/SignedInteger +2. BinaryInteger +3. FixedWidthInteger +4. Numeric +4. AdditiveArithmetic +5. ExpressibleByIntegerLiteral +6. ExpressibleByStringLiteral +6. LosslessStringConvertible +7. CustomStringConvertible +7. CustomDebugStringConvertible +8. Comparable +9. Equatable +9. Strideable +10. Hashable +11. Sendable +12. Codable + +### Usage +Since this library fully implements the UnsignedInteger or SignedInteger protocols, +you can use these data types just like any other native integer data type. For numbers larger +than `UInt.max`, you can enter numbers directly as literals (see example). If you prefer, +the `init(high: UInt64, low: UInt64)`, or the `init(_ source: String, radix: Int)` initializers +can also be used to create a UInt128/Int128. A string can be in any radix up to base 36 +including binary, octal, decimal or hexadecimal, by using a corresponding `radix` +argument. Strings **cannot** contain spaces, underscores, or non-radix digits. Illegal +input strings will return nil (previously they quietly returned 0). Note: This is probably confusing +to newbies who may want to use underscores to separate digit groups as they +can do with literal integers (e.g., 123\_456), but it is the *Apple way*. +Fortunately, with big literal number support (aka `StaticBigInt`), you never +need to use string initializers again, unless you need oddball radices. + +For example: +```Swift + let uInt128ByString = UInt128("ffaabbcc00129823fa9a12d4aa87f498", radix:16)! + let uInt128ByLiteral: UInt128 = 0xffaa_bbcc_0012_9823_fa9a_12d4_aa87_f498 + let uInt128ByInteger: UInt128 = 1234 +``` + +### Testing +Some tests are included (many from Joel Gerber's great UInt128 implementation) +to verify that the source files are intact and working correctly. Please +let me know of any testing failures. Please forward to me any new tests that +you decide to add. + diff --git a/Sources/UInt128/UInt128.swift b/Sources/UInt128/UInt128.swift index 18c2df1..891b213 100644 --- a/Sources/UInt128/UInt128.swift +++ b/Sources/UInt128/UInt128.swift @@ -1,66 +1,237 @@ -/** -Copyright © 2023 Computer Inspirations. All rights reserved. -Portions are Copyright (c) 2014 - 2021 Apple Inc. and the -Swift project authors +//===----------------------------------------------------------------------===// +// +// This source file is part of the Swift.org open source project +// +// Copyright (c) 2024 Apple Inc. and the Swift project authors +// Licensed under Apache License v2.0 with Runtime Library Exception +// +// See https://swift.org/LICENSE.txt for license information +// See https://swift.org/CONTRIBUTORS.txt for the list of Swift project authors +// +//===----------------------------------------------------------------------===// +// Modified for public use in pre-Swift 6 installations as a precursor +// to using Swift 6. Modified by Michael Griebling + +// MARK: Memory layout + +/// A 128-bit unsigned integer value type. + +@frozen +public struct UInt128: Sendable, Codable { + // On 32-bit platforms, we don't want to use Builtin.Int128 for layout + // because it would be 16B aligned, which is excessive for such targets + // (and generally incompatible with C's `_BitInt(128)`). Instead we lay + // out the type as two `UInt64` fields--note that we have to be careful + // about endianness in this case. +#if _endian(little) + public var _low: UInt64 + public var _high: UInt64 +#else + public var _high: UInt64 + public var _low: UInt64 +#endif + + /// Creates a new instance from the given tuple of high and low parts. + /// + /// - Parameter value: The tuple to use as the source of the new instance's + /// high and low parts. + public init(_ value: (high: UInt64, low: UInt64)) { + self._low = value.low + self._high = value.high + } + + @_transparent + public init(_low: UInt64, _high: UInt64) { + self._low = _low + self._high = _high + } -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 + public var _value: Int128 { + @_transparent + get { + unsafeBitCast(self, to: Int128.self) + } - http://www.apache.org/licenses/LICENSE-2.0 + @_transparent + set { + self = Self(newValue) + } + } -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. -*/ + @_transparent + public init(_ _value: Int128) { + self = unsafeBitCast(_value, to: Self.self) + } -/// A 128-bit unsigned integer type. -public struct UInt128 : Codable { - public typealias High = UInt64 - public typealias Low = UInt64 + /// Creates a new instance with the same memory representation as the given + /// value. + /// + /// This initializer does not perform any range or overflow checking. The + /// resulting instance may not have the same numeric value as + /// `bitPattern`---it is only guaranteed to use the same pattern of bits in + /// its binary representation. + /// + /// - Parameter bitPattern: A value to use as the source of the new instance's + /// binary representation. + + @_transparent + public init(bitPattern: Int128) { + self.init(bitPattern._value) + } +} - /// The low part of the value. - internal var low: Low - public var _low: UInt64 { low } +extension UInt128 { + public var components: (high: UInt64, low: UInt64) { + @inline(__always) get { (_high, _low) } + @inline(__always) set { (self._high, self._low) = (newValue.high, newValue.low) } + } +} - /// The high part of the value. - internal var high: High - public var _high: UInt64 { high } +// MARK: - Constants - /// Creates a new instance from the given tuple of high and low parts. - /// - /// - Parameter value: The tuple to use as the source of the new instance's - /// high and low parts. - public init(_ value: (high: High, low: Low)) { - self.low = value.low - self.high = value.high +extension UInt128 { + @_transparent + public static var zero: Self { + Self(_low: 0, _high: 0) } - public init(high: High, low: Low) { - self.low = low - self.high = high + @_transparent + public static var min: Self { + zero } - - public init(_high: High, _low: Low) { - self.low = _low - self.high = _high + + @_transparent + public static var max: Self { + Self(_low: .max, _high: .max) } +} + +// MARK: - Conversions from other integers - public init() { - self.init(high: 0, low: 0) +extension UInt128: ExpressibleByIntegerLiteral { + + public typealias IntegerLiteralType = StaticBigInt + + public init(integerLiteral value: IntegerLiteralType) { + precondition(UInt64.bitWidth == 64, "Expecting 64-bit UInt") + precondition(value.signum() >= 0, "UInt128 literal cannot be negative") + precondition(value.bitWidth <= Self.bitWidth+1, + "\(value.bitWidth)-bit literal too large for UInt128") + self.init(_low: UInt64(value[0]), _high: UInt64(value[1])) } - public init(bitPattern v: Int128) { - self.init(high: High(bitPattern: v.high), low: v.low) + @inlinable + public init?(exactly source: T) where T: BinaryInteger { + guard let high = UInt64(exactly: source >> 64) else { return nil } + let low = UInt64(truncatingIfNeeded: source) + self.init(_low: low, _high: high) } - public static var zero: Self { Self(high: 0, low: 0) } - public static var one: Self { Self(high: 0, low: 1) } + @inlinable + public init(_ source: T) where T: BinaryInteger { + guard let value = Self(exactly: source) else { + fatalError("value cannot be converted to UInt128 because it is outside the representable range") + } + self = value + } + + @inlinable + public init(clamping source: T) where T: BinaryInteger { + guard let value = Self(exactly: source) else { + self = source < .zero ? .zero : .max + return + } + self = value + } + + @inlinable + public init(truncatingIfNeeded source: T) where T: BinaryInteger { + let high = UInt64(truncatingIfNeeded: source >> 64) + let low = UInt64(truncatingIfNeeded: source) + self.init(_low: low, _high: high) + } + + @_transparent + public init(_truncatingBits source: UInt) { + self.init(_low: UInt64(source), _high: .zero) + } +} + +// MARK: - Conversions from Binary floating-point + +extension UInt128 { + + @inlinable + public init?(exactly source: T) where T: BinaryFloatingPoint { + let highAsFloat = (source * 0x1.0p-64).rounded(.towardZero) + guard let high = UInt64(exactly: highAsFloat) else { return nil } + guard let low = UInt64( + exactly: high == 0 ? source : source - 0x1.0p64*highAsFloat + ) else { return nil } + self.init(_low: low, _high: high) + } + + @inlinable + public init(_ source: T) where T: BinaryFloatingPoint { + guard let value = Self(exactly: source.rounded(.towardZero)) else { + fatalError("value cannot be converted to UInt128 because it is outside the representable range") + } + self = value + } +} + +// MARK: - Non-arithmetic utility conformances +extension UInt128: Equatable { + @_transparent + public static func ==(a: Self, b: Self) -> Bool { + (a._high, a._low) == (b._high, b._low) + } +} + +extension UInt128: Comparable { + @_transparent + public static func <(a: Self, b: Self) -> Bool { + (a._high, a._low) < (b._high, b._low) + } +} + + +extension UInt128: Hashable { + @inlinable + public func hash(into hasher: inout Hasher) { + hasher.combine(_low) + hasher.combine(_high) + } } extension UInt128 { + + public func dividingFullWidth( + _ dividend: (high: Self, low: Self.Magnitude) + ) -> (quotient: Self, remainder: Self) { + let (q, r) = _wideDivide42( + (dividend.high.components, dividend.low.components), + by: self.components) + return (Self(q), Self(r)) + } + + public func quotientAndRemainder( + dividingBy other: Self + ) -> (quotient: Self, remainder: Self) { + let (q, r) = _wideDivide22( + self.magnitude.components, by: other.magnitude.components) + let quotient = Self.Magnitude(q) + let remainder = Self.Magnitude(r) + return (quotient, remainder) + } + + /// Maximum power of the `radix` for an unsigned 64-bit UInt for base + /// indices of 2...36 + static let _maxPowers : [Int] = [ + 63, 40, 31, 27, 24, 22, 21, 20, 19, 18, 17, 17, 16, 16, 15, 15, 15, 15, + 14, 14, 14, 14, 13, 13, 13, 13, 13, 13, 13, 13, 13, 12, 12, 12, 12, 12, 12 + ] + /// Divides `x` by rⁿ where r is the `radix`. Returns the quotient, /// remainder, and digits static func _div(x:UInt128, radix:Int) -> (q:UInt128, r:UInt64, digits:Int) { @@ -85,8 +256,8 @@ extension UInt128 { maxDivisor = UInt64(power) digits = 12 } - r = x.quotientAndRemainder(dividingBy: UInt128(high: 0, low: maxDivisor)) - return (r.quotient, r.remainder.low, digits) + r = x.quotientAndRemainder(dividingBy: UInt128((high: 0, low: maxDivisor))) + return (r.quotient, r.remainder._low, digits) } /// Converts the UInt128 `self` into a string with a given `radix`. The @@ -113,12 +284,6 @@ extension UInt128 { } } -extension String { - public init(_ n: UInt128, radix: Int = 10, uppercase: Bool = false) { - self = n._description(radix: radix, uppercase: uppercase) - } -} - extension UInt128 : CustomStringConvertible { public var description: String { _description(radix: 10) @@ -131,555 +296,293 @@ extension UInt128: CustomDebugStringConvertible { } } - -extension UInt128 : ExpressibleByIntegerLiteral { - public typealias IntegerLiteralType = StaticBigInt - - public init(integerLiteral value: StaticBigInt) { - precondition(Low.bitWidth == 64, "Expecting 64-bit UInt") - precondition(value.signum() >= 0, "UInt128 literal cannot be negative") - precondition(value.bitWidth <= Self.bitWidth+1, - "\(value.bitWidth)-bit literal too large for UInt128") - self.init(high: High(value[1]), low: Low(value[0])) - } -} +// MARK: - Overflow-reporting arithmetic extension UInt128 { - public init?(_ text: S, radix: Int = 10) { - guard !text.isEmpty else { return nil } - guard 2...36 ~= radix else { return nil } - self.init() - if let x = Self.value(from: text, radix: radix) { - self = x - } else { - return nil - } - } - - public init?(_ description: String) { - self.init(description, radix:10) + public func addingReportingOverflow(_ other: Self) -> (partialValue: Self, overflow: Bool) { + let (r, o) = _wideAddReportingOverflow22(self.components, other.components) + return (Self(r), o) } -} -extension UInt128 { - /// This method breaks `string` into pieces to reduce overhead of the - /// multiplications and allow UInt64 to work in converting larger numbers. - static func value( - from string: S, radix: Int = 10) -> Self? { - // Handles signs and leading zeros - var s = String(string) - let uradix = UInt64(radix) - if s.hasPrefix("-") { return nil } - if s.hasPrefix("+") { s.removeFirst() } - while s.hasPrefix("0") { s.removeFirst() } - - // Translate the string into a number - var r = UInt128.zero - while !s.isEmpty { - // handle `chunk`-sized digits at a time - let chunk = s.prefix(UInt128._maxPowers[radix-2]) - let size = chunk.count; s.removeFirst(size) - if let uint = UInt64(chunk, radix: radix) { - if size != 0 { - r = UInt128._multiply(r, timesRadix: uradix, toPower: size) - } - r += UInt128(high: 0, low: uint) - } else { - return nil - } - } - return Self(r) - } - /// Multiplies `x` by rⁿ where r is the `radix` and returns the product - static func _multiply( - _ x: T, timesRadix radix: UInt64, toPower n: Int) -> T { - // calculate the powers of the radix and store in a table - func power(of radix:UInt64, to n:Int) -> UInt64 { - var t = radix - var n = n - while n > 0 && t < UInt64.max / radix { - t &*= radix; n -= 1 - } - return t - } - let radixToPower: UInt64 - if radix == 10 { - radixToPower = Self._powers10[n-1] - } else { - radixToPower = power(of: radix, to: n-1) - } - return x * T(radixToPower) + public func subtractingReportingOverflow(_ other: Self) -> (partialValue: Self, overflow: Bool) { + let (r, o) = _wideSubtractReportingOverflow22(self.components, other.components) + return (Self(r), o) } - - /// Maximum power of the `radix` for an unsigned 64-bit UInt for base - /// indices of 2...36 - static let _maxPowers : [Int] = [ - 63, 40, 31, 27, 24, 22, 21, 20, 19, 18, 17, 17, 16, 16, 15, 15, 15, 15, - 14, 14, 14, 14, 13, 13, 13, 13, 13, 13, 13, 13, 13, 12, 12, 12, 12, 12, 12 - ] - /// Computed powers of 10ⁿ up to UInt64.max - static let _powers10 : [UInt64] = [ - 10, 100, 1_000, 10_000, 100_000, 1_000_000, 10_000_000, 100_000_000, - 1_000_000_000, 10_000_000_000, 100_000_000_000, 1_000_000_000_000, - 10_000_000_000_000, 100_000_000_000_000, 1_000_000_000_000_000, - 10_000_000_000_000_000, 100_000_000_000_000_000, 1_000_000_000_000_000_000, - 10_000_000_000_000_000_000 - ] -} - -extension UInt128: Equatable { - public static func == (_ lhs: Self, _ rhs: Self) -> Bool { - return (lhs.high, lhs.low) == (rhs.high, rhs.low) + @_transparent + public func multipliedReportingOverflow(by other: Self) -> (partialValue: Self, overflow: Bool) { + let h1 = self._high.multipliedReportingOverflow(by: other._low) + let h2 = self._low.multipliedReportingOverflow(by: other._high) + let h3 = h1.partialValue.addingReportingOverflow(h2.partialValue) + let (h, l) = self._low.multipliedFullWidth(by: other._low) + let high = h3.partialValue.addingReportingOverflow(h) + let overflow = ( + (self._high != 0 && other._high != 0) + || h1.overflow || h2.overflow || h3.overflow || high.overflow) + return (Self(_low: l, _high: high.partialValue), overflow) } -} -extension UInt128: Comparable { - public static func < (_ lhs: Self, _ rhs: Self) -> Bool { - (lhs.high, lhs.low) < (rhs.high, rhs.low) + @_transparent + public func dividedReportingOverflow(by other: Self) -> (partialValue: Self, overflow: Bool) { + if other == Self.zero { + return (self, true) + } + if Self.isSigned && other == -1 && self == .min { + return (self, true) + } + // Unsigned divide never overflows. + return (quotientAndRemainder(dividingBy: other).quotient, false) } -} -extension UInt128: Hashable { - public func hash(into hasher: inout Hasher) { - hasher.combine(low) - hasher.combine(high) + @_transparent + public func remainderReportingOverflow( + dividingBy other: Self + ) -> (partialValue: Self, overflow: Bool) { + if other == Self.zero { + return (self, true) + } + if Self.isSigned && other == -1 && self == .min { + return (0, true) + } + return (quotientAndRemainder(dividingBy: other).remainder, false) } } -extension UInt128 { - public var components: (high: High, low: Low) { - @inline(__always) get { (high, low) } - @inline(__always) set { (self.high, self.low) = (newValue.high, newValue.low) } - } -} +// MARK: - AdditiveArithmetic conformance extension UInt128: AdditiveArithmetic { - public static func - (_ lhs: Self, _ rhs: Self) -> Self { - let (result, overflow) = lhs.subtractingReportingOverflow(rhs) - precondition(!overflow, "Overflow in -") + @_transparent + public static func +(a: Self, b: Self) -> Self { + let (result, overflow) = a.addingReportingOverflow(b) + assert(!overflow, "arithmetic overflow") return result } - public static func -= (_ lhs: inout Self, _ rhs: Self) { - let (result, overflow) = lhs.subtractingReportingOverflow(rhs) - precondition(!overflow, "Overflow in -=") - lhs = result - } - - public static func + (_ lhs: Self, _ rhs: Self) -> Self { - let (result, overflow) = lhs.addingReportingOverflow(rhs) - precondition(!overflow, "Overflow in +") + @_transparent + public static func -(a: Self, b: Self) -> Self { + let (result, overflow) = a.subtractingReportingOverflow(b) + assert(!overflow, "arithmetic overflow") return result } - - public static func += (_ lhs: inout Self, _ rhs: Self) { - let (result, overflow) = lhs.addingReportingOverflow(rhs) - precondition(!overflow, "Overflow in +=") - lhs = result - } } -extension UInt128: Numeric { - public typealias Magnitude = UInt128 +// MARK: - Multiplication and division - public var magnitude: Magnitude { - return self +extension UInt128 { + @_transparent + public static func *(a: Self, b: Self) -> Self { + let (result, overflow) = a.multipliedReportingOverflow(by: b) + assert(!overflow, "arithmetic overflow") + return result } - public init(_ magnitude: Magnitude) { - self.init(high: High(magnitude.high), low: magnitude.low) + @_transparent + public static func *=(a: inout Self, b: Self) { + a = a * b } - public init(_ source: T) { - guard let result = Self(exactly: source) else { - preconditionFailure("Value is outside the representable range") - } - self = result + @_transparent + public static func /(a: Self, b: Self) -> Self { + a.dividedReportingOverflow(by: b).partialValue } - public init?(exactly source: T) { - // Can't represent a negative 'source' if Self is unsigned. - guard Self.isSigned || source >= 0 else { - return nil - } - - // Is 'source' entirely representable in Low? - if let low = Low(exactly: source.magnitude) { - self.init(source._isNegative ? (~0, low._twosComplement) : (0, low)) - } else { - // At this point we know source.bitWidth > High.bitWidth, or else we - // would've taken the first branch. - let lowInT = source & T(~0 as Low) - let highInT = source >> Low.bitWidth - - let low = Low(lowInT) - guard let high = High(exactly: highInT) else { - return nil - } - self.init(high: high, low: low) - } + @_transparent + public static func /=(a: inout Self, b: Self) { + a = a / b } - public static func * (_ lhs: Self, _ rhs: Self) -> Self { - let (result, overflow) = lhs.multipliedReportingOverflow(by: rhs) - precondition(!overflow, "Overflow in *") - return result + @_transparent + public static func %(a: Self, b: Self) -> Self { + a.remainderReportingOverflow(dividingBy: b).partialValue } - public static func *= (_ lhs: inout Self, _ rhs: Self) { - let (result, overflow) = lhs.multipliedReportingOverflow(by: rhs) - precondition(!overflow, "Overflow in *=") - lhs = result + @_transparent + public static func %=(a: inout Self, b: Self) { + a = a % b } } -extension UInt128 { - public struct Words { - internal var _value: UInt128 +// MARK: - Numeric conformance +extension UInt128: Numeric { + public typealias Magnitude = Self - internal init(_ value: UInt128) { - self._value = value - } + @_transparent + public var magnitude: Self { + self } } -extension UInt128.Words: RandomAccessCollection { - public typealias Element = UInt - public typealias Index = Int - public typealias Indices = Range - public typealias SubSequence = Slice +// MARK: - BinaryInteger conformance - public var count: Int { 128 / UInt.bitWidth } - public var startIndex: Int { 0 } - public var endIndex: Int { count } - public var indices: Indices { startIndex ..< endIndex } - public func index(after i: Int) -> Int { i + 1 } - public func index(before i: Int) -> Int { i - 1 } +extension UInt128: BinaryInteger { + + @frozen + public struct Words { + @usableFromInline + let _value: UInt128 - public subscript(position: Int) -> UInt { - get { - precondition(position >= 0 && position < endIndex, - "Word index out of range") - let shift = position &* UInt.bitWidth - precondition(shift < UInt128.bitWidth) - - let r = _wideMaskedShiftRight( - _value.components, UInt64(truncatingIfNeeded: shift)) - return r.low._lowWord + @_transparent + public init(_value: UInt128) { + self._value = _value } } -} - -extension UInt128: FixedWidthInteger { - public var _lowWord: UInt { - low._lowWord - } - + + @_transparent public var words: Words { - Words(self) - } - - public static var isSigned: Bool { - false - } - - public static var max: Self { - self.init(high: High.max, low: Low.max) + Words(_value: self) } - public static var min: Self { - self.init(high: High.min, low: Low.min) + @_transparent + public static func &=(a: inout Self, b: Self) { + a._low &= b._low + a._high &= b._high } - public static var bitWidth: Int { 128 } - - public func addingReportingOverflow( - _ rhs: Self - ) -> (partialValue: Self, overflow: Bool) { - let (r, o) = _wideAddReportingOverflow22(self.components, rhs.components) - return (Self(r), o) - } - - public func subtractingReportingOverflow( - _ rhs: Self - ) -> (partialValue: Self, overflow: Bool) { - let (r, o) = _wideSubtractReportingOverflow22( - self.components, rhs.components) - return (Self(r), o) - } - - public func multipliedReportingOverflow( - by rhs: Self - ) -> (partialValue: Self, overflow: Bool) { - let h1 = self.high.multipliedReportingOverflow(by: rhs.low) - let h2 = self.low.multipliedReportingOverflow(by: rhs.high) - let h3 = h1.partialValue.addingReportingOverflow(h2.partialValue) - let (h, l) = self.low.multipliedFullWidth(by: rhs.low) - let high = h3.partialValue.addingReportingOverflow(h) - let overflow = ( - (self.high != 0 && rhs.high != 0) - || h1.overflow || h2.overflow || h3.overflow || high.overflow) - return (Self(high: high.partialValue, low: l), overflow) + @_transparent + public static func |=(a: inout Self, b: Self) { + a._low |= b._low + a._high |= b._high } - /// Returns the product of this value and the given 64-bit value, along with a - /// Boolean value indicating whether overflow occurred in the operation. - public func multipliedReportingOverflow( - by other: UInt64 - ) -> (partialValue: Self, overflow: Bool) { - let h1 = self.high.multipliedReportingOverflow(by: other) - let (h2, l) = self.low.multipliedFullWidth(by: other) - let high = h1.partialValue.addingReportingOverflow(h2) - let overflow = h1.overflow || high.overflow - return (Self(high: high.partialValue, low: l), overflow) + @_transparent + public static func ^=(a: inout Self, b: Self) { + a._low ^= b._low + a._high ^= b._high } - public func multiplied(by other: UInt64) -> Self { - let r = multipliedReportingOverflow(by: other) - precondition(!r.overflow, "Overflow in multiplication") - return r.partialValue + public static func &>>=(a: inout Self, b: Self) { + a = Self(_wideMaskedShiftRight(a.components, b._low)) } - public func quotientAndRemainder( - dividingBy other: Self - ) -> (quotient: Self, remainder: Self) { - let (q, r) = _wideDivide22( - self.magnitude.components, by: other.magnitude.components) - let quotient = Self.Magnitude(q) - let remainder = Self.Magnitude(r) - return (quotient, remainder) + public static func &<<=(a: inout Self, b: Self) { + _wideMaskedShiftLeft(&a.components, b._low) } - public func dividedReportingOverflow( - by other: Self - ) -> (partialValue: Self, overflow: Bool) { - if other == Self.zero { - return (self, true) - } - if Self.isSigned && other == -1 && self == .min { - return (self, true) - } - return (quotientAndRemainder(dividingBy: other).quotient, false) + @_transparent + public var trailingZeroBitCount: Int { + _low == 0 ? 64 + _high.trailingZeroBitCount : _low.trailingZeroBitCount } - public func remainderReportingOverflow( - dividingBy other: Self - ) -> (partialValue: Self, overflow: Bool) { - if other == Self.zero { - return (self, true) - } - if Self.isSigned && other == -1 && self == .min { - return (0, true) - } - return (quotientAndRemainder(dividingBy: other).remainder, false) + @_transparent + public var _lowWord: UInt { + UInt(_low) } +} - public func multipliedFullWidth( - by other: Self - ) -> (high: Self, low: Magnitude) { - let isNegative = Self.isSigned && (self._isNegative != other._isNegative) - - func sum(_ x: Low, _ y: Low) -> (high: Low, low: Low) { - let (sum, overflow) = x.addingReportingOverflow(y) - return (overflow ? 1 : 0, sum) - } - - func sum(_ x: Low, _ y: Low, _ z: Low) -> (high: Low, low: Low) { - let s1 = sum(x, y) - let s2 = sum(s1.low, z) - return (s1.high &+ s2.high, s2.low) - } - - func sum( - _ x0: Low, _ x1: Low, _ x2: Low, _ x3: Low - ) -> (high: Low, low: Low) { - let s1 = sum(x0, x1) - let s2 = sum(x2, x3) - let s = sum(s1.low, s2.low) - return (s1.high &+ s2.high &+ s.high, s.low) - } - - let lhs = self.magnitude - let rhs = other.magnitude - - let a = rhs.low.multipliedFullWidth(by: lhs.low) - let b = rhs.low.multipliedFullWidth(by: lhs.high) - let c = rhs.high.multipliedFullWidth(by: lhs.low) - let d = rhs.high.multipliedFullWidth(by: lhs.high) - - let mid1 = sum(a.high, b.low, c.low) - let mid2 = sum(b.high, c.high, mid1.high, d.low) - - let high = UInt128( - high: High(d.high &+ mid2.high), // Note: this addition will never wrap - low: mid2.low) - let low = UInt128( - high: mid1.low, - low: a.low) - - if isNegative { - let (lowComplement, overflow) = (~low).addingReportingOverflow(.one) - return (~high + (overflow ? 1 : 0), lowComplement) - } else { - return (high, low) - } - } +extension UInt128.Words: RandomAccessCollection { + + public typealias Element = UInt + public typealias Index = Int + public typealias SubSequence = Slice + public typealias Indices = Range - public func dividingFullWidth( - _ dividend: (high: Self, low: Self.Magnitude) - ) -> (quotient: Self, remainder: Self) { - let (q, r) = _wideDivide42( - (dividend.high.components, dividend.low.components), - by: self.components) - return (Self(q), Self(r)) + @_transparent + public var count: Int { + 128 / UInt.bitWidth } - #if false // This triggers an unexpected type checking issue with `~0` in an - // lldb test - public static prefix func ~(x: Self) -> Self { - Self(high: ~x.high, low: ~x.low) + @_transparent + public var startIndex: Int { + 0 } - #endif - public static func &= (_ lhs: inout Self, _ rhs: Self) { - lhs.low &= rhs.low - lhs.high &= rhs.high + @_transparent + public var endIndex: Int { + count } - public static func |= (_ lhs: inout Self, _ rhs: Self) { - lhs.low |= rhs.low - lhs.high |= rhs.high + @_transparent + public var indices: Indices { + startIndex ..< endIndex } - public static func ^= (_ lhs: inout Self, _ rhs: Self) { - lhs.low ^= rhs.low - lhs.high ^= rhs.high + @_transparent + public func index(after i: Int) -> Int { + i + 1 } - public static func <<= (_ lhs: inout Self, _ rhs: Self) { - if Self.isSigned && rhs._isNegative { - lhs >>= 0 - rhs - return - } - - // Shift is larger than this type's bit width. - if rhs.high != High.zero || rhs.low >= Self.bitWidth { - lhs = 0 - return - } - - lhs &<<= rhs + @_transparent + public func index(before i: Int) -> Int { + i - 1 } - public static func >>= (_ lhs: inout Self, _ rhs: Self) { - if Self.isSigned && rhs._isNegative { - lhs <<= 0 - rhs - return - } - - // Shift is larger than this type's bit width. - if rhs.high != High.zero || rhs.low >= Self.bitWidth { - lhs = lhs._isNegative ? ~0 : 0 - return + public subscript(position: Int) -> UInt { + @inlinable + get { + precondition(position >= 0 && position < count, "Index out of bounds") + var value = _value +#if _endian(little) + let index = position +#else + let index = count - 1 - position +#endif + return _withUnprotectedUnsafePointer(to: &value) { + $0.withMemoryRebound(to: UInt.self, capacity: count) { $0[index] } + } } - - lhs &>>= rhs - } - - public static func &<< (lhs: Self, rhs: Self) -> Self { - Self(_wideMaskedShiftLeft(lhs.components, rhs.low)) - } - - public static func &>> (lhs: Self, rhs: Self) -> Self { - Self(_wideMaskedShiftRight(lhs.components, rhs.low)) - } - - public static func &<<= (lhs: inout Self, rhs: Self) { - _wideMaskedShiftLeft(&lhs.components, rhs.low) - } - - public static func &>>= (lhs: inout Self, rhs: Self) { - lhs = Self(_wideMaskedShiftRight(lhs.components, rhs.low)) } +} - public static func / ( - _ lhs: Self, _ rhs: Self - ) -> Self { - var lhs = lhs - lhs /= rhs - return lhs - } +// MARK: - FixedWidthInteger conformance +extension UInt128: FixedWidthInteger, UnsignedInteger { + @_transparent + public static var bitWidth: Int { 128 } - public static func /= (_ lhs: inout Self, _ rhs: Self) { - let (result, overflow) = lhs.dividedReportingOverflow(by: rhs) - precondition(!overflow, "Overflow in /=") - lhs = result + @_transparent + public var nonzeroBitCount: Int { + _high.nonzeroBitCount &+ _low.nonzeroBitCount } - public static func % ( - _ lhs: Self, _ rhs: Self - ) -> Self { - var lhs = lhs - lhs %= rhs - return lhs + @_transparent + public var leadingZeroBitCount: Int { + _high == 0 ? 64 + _low.leadingZeroBitCount : _high.leadingZeroBitCount } - public static func %= (_ lhs: inout Self, _ rhs: Self) { - let (result, overflow) = lhs.remainderReportingOverflow(dividingBy: rhs) - precondition(!overflow, "Overflow in %=") - lhs = result + @_transparent + public var byteSwapped: Self { + return Self(_low: _high.byteSwapped, _high: _low.byteSwapped) } +} - public init(_truncatingBits bits: UInt) { - low = Low(_truncatingBits: bits) - high = High(_truncatingBits: bits >> UInt(Low.bitWidth)) - } +// MARK: - Integer comparison type inference - public init(integerLiteral x: Int64) { - self.init(x) - } - - public var leadingZeroBitCount: Int { - (high == High.zero - ? High.bitWidth + low.leadingZeroBitCount - : high.leadingZeroBitCount) +extension UInt128 { + // IMPORTANT: The following four apparently unnecessary overloads of + // comparison operations are necessary for literal comparands to be + // inferred as the desired type. + @_transparent @_alwaysEmitIntoClient + public static func != (lhs: Self, rhs: Self) -> Bool { + return !(lhs == rhs) } - public var trailingZeroBitCount: Int { - (low == Low.zero - ? Low.bitWidth + high.trailingZeroBitCount - : low.trailingZeroBitCount) + @_transparent @_alwaysEmitIntoClient + public static func <= (lhs: Self, rhs: Self) -> Bool { + return !(rhs < lhs) } - public var nonzeroBitCount: Int { - high.nonzeroBitCount + low.nonzeroBitCount + @_transparent @_alwaysEmitIntoClient + public static func >= (lhs: Self, rhs: Self) -> Bool { + return !(lhs < rhs) } - public var byteSwapped: Self { - Self( - high: High(truncatingIfNeeded: low.byteSwapped), - low: Low(truncatingIfNeeded: high.byteSwapped)) + @_transparent @_alwaysEmitIntoClient + public static func > (lhs: Self, rhs: Self) -> Bool { + return rhs < lhs } } -extension UInt128: Sendable {} - // MARK: - BinaryFloatingPoint Interoperability extension BinaryFloatingPoint { public init(_ value: UInt128) { - precondition(value.high == 0, + precondition(value._high == 0, "Value is too large to fit into a BinaryFloatingPoint.") - self.init(value.low) + self.init(value._low) } public init?(exactly value: UInt128) { - if value.high > 0 { + if value._high > 0 { return nil } - self = Self(value.low) + self = Self(value._low) } } - -extension UInt128: UnsignedInteger {} - diff --git a/Tests/UInt128Tests/Int128Tests.swift b/Tests/UInt128Tests/Int128Tests.swift index df1622e..850e589 100644 --- a/Tests/UInt128Tests/Int128Tests.swift +++ b/Tests/UInt128Tests/Int128Tests.swift @@ -39,39 +39,39 @@ let bizarreInt128 = Int128(0xf1f3_f5f7_f9fb_fdff_fefc_faf0_f8f6_f4f2) /// User tests that act as a basic smoke test on library functionality. class SystemInt128Tests : XCTestCase { func testCanReceiveAnInt() { - let expectedResult = Int128(high: 0, low: 1) + let expectedResult = Int128((high: 0, low: 1)) let testResult = Int128(Int(1)) XCTAssertEqual(testResult, expectedResult) } func testCanBeSentToAnInt() { let expectedResult: Int = 1 - let uint = Int128(high: 0, low: 1) + let uint = Int128((high: 0, low: 1)) let testResult = Int(uint) XCTAssertEqual(testResult, expectedResult) } func testIntegerLiteralInput() { - let expectedResult = Int128(high: 0, low: 1) + let expectedResult = Int128((high: 0, low: 1)) let testResult: Int128 = 1 XCTAssertEqual(testResult, expectedResult) } func testCanReceiveAString() { - let expectedResult = Int128(high: 0, low: 1) + let expectedResult = Int128((high: 0, low: 1)) let testResult = Int128(String("1")) XCTAssertEqual(testResult, expectedResult) } func testStringLiteralInput() { - let expectedResult = Int128(high: 0, low: 1) + let expectedResult = Int128((high: 0, low: 1)) let testResult = Int128("1") XCTAssertEqual(testResult, expectedResult) } func testCanBeSentToAFloat() { let expectedResult: Float = 1 - let testResult = Float(Int128(high: 0, low: 1)) + let testResult = Float(Int128((high: 0, low: 1))) XCTAssertEqual(testResult, expectedResult) } } @@ -86,25 +86,25 @@ class BaseTypeInt128Tests : XCTestCase { output: (high: Int64.max, low: UInt64.max))) tests.forEach { test in - let result = Int128(high: test.input.high, - low: test.input.low) + let result = Int128((high: test.input.high, + low: test.input.low)) - XCTAssertEqual(result.high, test.output.high) - XCTAssertEqual(result.low, test.output.low) + XCTAssertEqual(result._high, test.output.high) + XCTAssertEqual(result._low, test.output.low) } } func testDefaultInitializerSetsUpperAndLowerBitsToZero() { let result = Int128() - XCTAssertEqual(result.high, 0) - XCTAssertEqual(result.low, 0) + XCTAssertEqual(result._high, 0) + XCTAssertEqual(result._low, 0) } func testInitWithInt128() { var tests = [Int128()] - tests.append(Int128(high: 0, low: 1)) - tests.append(Int128(high: 0, low: UInt64.max)) + tests.append(Int128((high: 0, low: 1))) + tests.append(Int128((high: 0, low: UInt64.max))) tests.append(Int128.max) tests.forEach { test in @@ -133,8 +133,8 @@ class FixedWidthInteger128Tests : XCTestCase { tests.append((input: Int128(1), result: 1)) tests.append((input: Int128(3), result: 2)) tests.append((input: Int128(UInt64.max), result: 64)) - tests.append((input: Int128(high: 1, low: 0), result: 1)) - tests.append((input: Int128(high: 3, low: 0), result: 2)) + tests.append((input: Int128((high: 1, low: 0)), result: 1)) + tests.append((input: Int128((high: 3, low: 0)), result: 2)) tests.append((input: Int128.max, result: 127)) tests.forEach { test in @@ -146,7 +146,7 @@ class FixedWidthInteger128Tests : XCTestCase { var tests = [(input: Int128(0), result: 128)] tests.append((input: Int128(1), result: 127)) tests.append((input: Int128(UInt64.max), result: 64)) - tests.append((input: Int128(high: 1, low: 0), result: 63)) + tests.append((input: Int128((high: 1, low: 0)), result: 63)) tests.append((input: Int128.max, result: 1)) tests.forEach { test in @@ -157,9 +157,9 @@ class FixedWidthInteger128Tests : XCTestCase { func endianTests() -> [(input: Int128, byteSwapped: Int128)] { var tests = [(input: Int128(), byteSwapped: Int128())] tests.append((input: Int128(1), - byteSwapped: Int128(high: 0x100000000000000, low: 0))) - tests.append((input: Int128(high: 0x71F3F5F7F9FBFDFF, low: 0xFEFCFAF0F8F6F472), - byteSwapped: Int128(high: 0x72F4F6F8F0FAFCFE, low: 0xFFFDFBF9F7F5F371))) + byteSwapped: Int128((high: 0x100000000000000, low: 0)))) + tests.append((input: Int128((high: 0x71F3F5F7F9FBFDFF, low: 0xFEFCFAF0F8F6F472)), + byteSwapped: Int128((high: 0x72F4F6F8F0FAFCFE, low: 0xFFFDFBF9F7F5F371)))) return tests } @@ -218,7 +218,7 @@ class FixedWidthInteger128Tests : XCTestCase { func testInitWithTruncatingBits() { let testResult = Int128(_truncatingBits: UInt.max) - XCTAssertEqual(testResult, Int128(high: 0, low: UInt64(UInt.max))) + XCTAssertEqual(testResult, Int128((high: 0, low: UInt64(UInt.max)))) } func testAddingReportingOverflow() { @@ -236,7 +236,7 @@ class FixedWidthInteger128Tests : XCTestCase { sum: (partialValue: Int128.min+1, overflow: true))) // UInt64.max + 1 = UInt64.max + 1 tests.append((augend: Int128(Int64.max), addend: Int128(1), - sum: (partialValue: Int128(high: 0, low: UInt64(Int64.max)+1), overflow: false))) + sum: (partialValue: Int128((high: 0, low: UInt64(Int64.max)+1)), overflow: false))) tests.forEach { test in let sum = test.augend.addingReportingOverflow(test.addend) @@ -254,9 +254,9 @@ class FixedWidthInteger128Tests : XCTestCase { difference: (partialValue: Int128.max, overflow: false))) // Int128.max - 1 = Int128.max - 1 tests.append((minuend: Int128.max, subtrahend: Int128(1), - difference: (partialValue: Int128(high: Int64.max, low: (UInt64.max >> 1) << 1), overflow: false))) + difference: (partialValue: Int128((high: Int64.max, low: (UInt64.max >> 1) << 1)), overflow: false))) // UInt64.max + 1 - 1 = UInt64.max - tests.append((minuend: Int128(high: 1, low: 0), subtrahend: Int128(1), + tests.append((minuend: Int128((high: 1, low: 0)), subtrahend: Int128(1), difference: (partialValue: Int128(UInt64.max), overflow: false))) // 0 - 1 = -1 tests.append((minuend: Int128(0), subtrahend: Int128(1), @@ -278,7 +278,7 @@ class FixedWidthInteger128Tests : XCTestCase { product: (partialValue: Int128(0), overflow: false))] // UInt64.max * UInt64.max = UInt128.max - UInt64.max - 1 tests.append((multiplier: Int128(UInt64.max), multiplicator: Int128(UInt64.max), - product: (partialValue: Int128(high: Int64(bitPattern: UInt64.max-1), low: 1), overflow: true))) + product: (partialValue: Int128((high: Int64(bitPattern: UInt64.max-1), low: 1)), overflow: true))) // Int128.max * 0 = 0 tests.append((multiplier: Int128.max, multiplicator: Int128(0), product: (partialValue: Int128.zero, overflow: false))) @@ -287,7 +287,7 @@ class FixedWidthInteger128Tests : XCTestCase { product: (partialValue: Int128.max, overflow: false))) // Int128.max * 2 = Int128.max - 1, with overflow tests.append((multiplier: Int128.max, multiplicator: Int128(2), - product: (partialValue: Int128(high: Int64(bitPattern: UInt64.max), low: UInt64.max-1), overflow: true))) + product: (partialValue: Int128((high: Int64(bitPattern: UInt64.max), low: UInt64.max-1)), overflow: true))) // Int128.max * Int128.max = 1, with overflow tests.append((multiplier: Int128.max, multiplicator: Int128.max, product: (partialValue: Int128(1), overflow: true))) @@ -306,7 +306,7 @@ class FixedWidthInteger128Tests : XCTestCase { tests.append((multiplier: Int128(1), multiplicator: Int128(1), product: (high: Int128.zero, low: UInt128(1)))) tests.append((multiplier: Int128(Int64.max), multiplicator: Int128(Int64.max), - product: (high: Int128.zero, low: UInt128(high: UInt64.max >> 2, low: 1)))) + product: (high: Int128.zero, low: UInt128((high: UInt64.max >> 2, low: 1))))) tests.append((multiplier: Int128.max, multiplicator: Int128.max, product: (high: (Int128.max - 1) >> 1, low: UInt128(1)))) @@ -338,10 +338,10 @@ class FixedWidthInteger128Tests : XCTestCase { tests.append((dividend: Int128(1), divisor: Int128.zero, quotient: (partialValue: Int128(1), overflow: true), remainder: (partialValue: Int128(1), overflow: true))) - // Int128.max / Int64.max = Int128(high: 1, low: 2), remainder 1 + // Int128.max / Int64.max = Int128((high: 1, low: 2), remainder 1 tests.append((dividend: Int128.max, divisor: Int128(Int64.max), - quotient: (partialValue: Int128(high: 1, low: UInt64(2)), overflow: false), - remainder: (partialValue: Int128.one, overflow: false))) + quotient: (partialValue: Int128((high: 1, low: UInt64(2))), overflow: false), + remainder: (partialValue: 1, overflow: false))) // Int128.max / Int128.max = 1, remainder 0 tests.append((dividend: Int128.max, divisor: Int128.max, quotient: (partialValue: Int128(1), overflow: false), @@ -427,7 +427,7 @@ class BinaryInteger128Tests : XCTestCase { func testTrailingZeroBitCount() { var tests = [(input: Int128.zero, expected: 128)] tests.append((input: Int128(1), expected: 0)) - tests.append((input: Int128(high: 1, low: 0), expected: 64)) + tests.append((input: Int128((high: 1, low: 0)), expected: 64)) tests.append((input: Int128.max, expected: 0)) tests.forEach { test in @@ -474,7 +474,7 @@ class BinaryInteger128Tests : XCTestCase { func test_word() { let lowerBits = UInt64(0b100000000000000000000000000000001) let upperBits = Int64(0b100000000000000000000000000000001) - let testResult = Int128(high: upperBits, low: lowerBits) + let testResult = Int128((high: upperBits, low: lowerBits)) testResult.words.forEach { (currentWord) in if UInt.bitWidth == 64 { @@ -494,9 +494,9 @@ class BinaryInteger128Tests : XCTestCase { // 1 / 2 = 0, remainder 1 tests.append((dividend: Int128(1), divisor: Int128(2), quotient: Int128(0), remainder: Int128(1))) - // Int128.max / UInt64.max = Int128(high: 1, low: 1), remainder 0 + // Int128.max / UInt64.max = Int128((high: 1, low: 1), remainder 0 tests.append((dividend: Int128.max, divisor: Int128(UInt64.max), - quotient: Int128(high: 0, low: UInt64(Int64.max))+1, remainder: Int128.zero)) + quotient: Int128((high: 0, low: UInt64(Int64.max)))+1, remainder: Int128.zero)) // Int128.max / Int128.max = 1, remainder 0 tests.append((dividend: Int128.max, divisor: Int128.max, quotient: Int128(1), remainder: Int128.zero)) @@ -571,12 +571,12 @@ class BinaryInteger128Tests : XCTestCase { [(lhs: Int128.zero, rhs: Int128.zero, result: Int128.zero)] tests.append((lhs: Int128(1), rhs: Int128(1), result: Int128(1))) tests.append((lhs: Int128.zero, rhs: Int128.max, result: Int128.zero)) - tests.append((lhs: Int128(high: Int64.min, low: UInt64.max), - rhs: Int128(high: Int64.max, low: UInt64.min), + tests.append((lhs: Int128((high: Int64.min, low: UInt64.max)), + rhs: Int128((high: Int64.max, low: UInt64.min)), result: Int128.zero)) - tests.append((lhs: Int128(high: 0x71F3F5F7F9FBFDFF, low: 0xFEFCFAF0F8F6F4F2), - rhs: Int128(high: 0x72F4F6F8F0FAFCFE, low: 0xFFFDFBF9F7F5F3F1), - result: Int128(high: 0x70F0F4F0F0FAFCFE, low: 0xFEFCFAF0F0F4F0F0))) + tests.append((lhs: Int128((high: 0x71F3F5F7F9FBFDFF, low: 0xFEFCFAF0F8F6F4F2)), + rhs: Int128((high: 0x72F4F6F8F0FAFCFE, low: 0xFFFDFBF9F7F5F3F1)), + result: Int128((high: 0x70F0F4F0F0FAFCFE, low: 0xFEFCFAF0F0F4F0F0)))) tests.append((lhs: Int128.max, rhs: Int128.max, result: Int128.max)) tests.forEach { test in @@ -591,12 +591,12 @@ class BinaryInteger128Tests : XCTestCase { [(lhs: Int128.zero, rhs: Int128.zero, result: Int128.zero)] tests.append((lhs: Int128(1), rhs: Int128(1), result: Int128(1))) tests.append((lhs: Int128.zero, rhs: Int128.max, result: Int128.max)) - tests.append((lhs: Int128(high: Int64.zero, low: UInt64.max), - rhs: Int128(high: Int64.max, low: UInt64.min), + tests.append((lhs: Int128((high: Int64.zero, low: UInt64.max)), + rhs: Int128((high: Int64.max, low: UInt64.min)), result: Int128.max)) - tests.append((lhs: Int128(high: 0x71F3F5F7F9FBFDFF, low: 0xFEFCFAF0F8F6F4F2), - rhs: Int128(high: 0x72F4F6F8F0FAFCFE, low: 0xFFFDFBF9F7F5F3F1), - result: Int128(high: 0x73F7F7FFF9FBFDFF, low: 18446176699939289075))) + tests.append((lhs: Int128((high: 0x71F3F5F7F9FBFDFF, low: 0xFEFCFAF0F8F6F4F2)), + rhs: Int128((high: 0x72F4F6F8F0FAFCFE, low: 0xFFFDFBF9F7F5F3F1)), + result: Int128((high: 0x73F7F7FFF9FBFDFF, low: 18446176699939289075)))) tests.append((lhs: Int128.max, rhs: Int128.max, result: Int128.max)) tests.forEach { test in @@ -611,12 +611,12 @@ class BinaryInteger128Tests : XCTestCase { [(lhs: Int128.zero, rhs: Int128.zero, result: Int128.zero)] tests.append((lhs: Int128(1), rhs: Int128(1), result: Int128.zero)) tests.append((lhs: Int128.zero, rhs: Int128.max, result: Int128.max)) - tests.append((lhs: Int128(high: Int64.zero, low: UInt64.max), - rhs: Int128(high: Int64.max, low: UInt64.min), + tests.append((lhs: Int128((high: Int64.zero, low: UInt64.max)), + rhs: Int128((high: Int64.max, low: UInt64.min)), result: Int128.max)) - tests.append((lhs: Int128(high: 0x71F3F5F7F9FBFDFF, low: 0xFEFCFAF0F8F6F4F2), - rhs: Int128(high: 0x72F4F6F8F0FAFCFE, low: 0xFFFDFBF9F7F5F3F1), - result: Int128(high: 218146470061211905, low: 72340207432828675))) + tests.append((lhs: Int128((high: 0x71F3F5F7F9FBFDFF, low: 0xFEFCFAF0F8F6F4F2)), + rhs: Int128((high: 0x72F4F6F8F0FAFCFE, low: 0xFFFDFBF9F7F5F3F1)), + result: Int128((high: 218146470061211905, low: 72340207432828675)))) tests.append((lhs: Int128.max, rhs: Int128.max, result: Int128.zero)) tests.forEach { test in @@ -627,74 +627,74 @@ class BinaryInteger128Tests : XCTestCase { } func testMaskingRightShiftEqualOperatorStandardCases() { - var tests = [(input: Int128(high: Int64.max, low: 0), + var tests = [(input: Int128((high: Int64.max, low: 0)), shiftWidth: UInt64(126), - expected: Int128(high: 0, low: 1))] - tests.append((input: Int128(high: 1, low: 0), + expected: Int128((high: 0, low: 1)))] + tests.append((input: Int128((high: 1, low: 0)), shiftWidth: UInt64(64), - expected: Int128(high: 0, low: 1))) - tests.append((input: Int128(high: 0, low: 1), + expected: Int128((high: 0, low: 1)))) + tests.append((input: Int128((high: 0, low: 1)), shiftWidth: UInt64(1), expected: Int128())) tests.forEach { test in var testValue = test.input - testValue &>>= Int128(high: 0, low: test.shiftWidth) + testValue &>>= Int128((high: 0, low: test.shiftWidth)) XCTAssertEqual(testValue, test.expected) } } func testMaskingRightShiftEqualOperatorEdgeCases() { - var tests = [(input: Int128(high: 0, low: 2), + var tests = [(input: Int128((high: 0, low: 2)), shiftWidth: UInt64(129), - expected: Int128(high: 0, low: 1))] - tests.append((input: Int128(high: Int64.max, low: 0), + expected: Int128((high: 0, low: 1)))] + tests.append((input: Int128((high: Int64.max, low: 0)), shiftWidth: UInt64(128), - expected: Int128(high: Int64.max, low: 0))) - tests.append((input: Int128(high: 0, low: 1), + expected: Int128((high: Int64.max, low: 0)))) + tests.append((input: Int128((high: 0, low: 1)), shiftWidth: UInt64(0), - expected: Int128(high: 0, low: 1))) + expected: Int128((high: 0, low: 1)))) tests.forEach { test in var testValue = test.input - testValue &>>= Int128(high: 0, low: test.shiftWidth) + testValue &>>= Int128((high: 0, low: test.shiftWidth)) XCTAssertEqual(testValue, test.expected) } } func testMaskingLeftShiftEqualOperatorStandardCases() { let int64_1_in_msb: Int64 = 2 << 62 - var tests = [(input: Int128(high: 0, low: 1), + var tests = [(input: Int128((high: 0, low: 1)), shiftWidth: UInt64(127), - expected: Int128(high: int64_1_in_msb, low: 0))] - tests.append((input: Int128(high: 0, low: 1), + expected: Int128((high: int64_1_in_msb, low: 0)))] + tests.append((input: Int128((high: 0, low: 1)), shiftWidth: UInt64(64), - expected: Int128(high: 1, low: 0))) - tests.append((input: Int128(high: 0, low: 1), + expected: Int128((high: 1, low: 0)))) + tests.append((input: Int128((high: 0, low: 1)), shiftWidth: UInt64(1), - expected: Int128(high: 0, low: 2))) + expected: Int128((high: 0, low: 2)))) tests.forEach { test in var testValue = test.input - testValue &<<= Int128(high: 0, low: test.shiftWidth) + testValue &<<= Int128((high: 0, low: test.shiftWidth)) XCTAssertEqual(testValue, test.expected) } } func testMaskingLeftShiftEqualOperatorEdgeCases() { - var tests = [(input: Int128(high: 0, low: 2), + var tests = [(input: Int128((high: 0, low: 2)), shiftWidth: UInt64(129), - expected: Int128(high: 0, low: 4))] - tests.append((input: Int128(high: 0, low: 2), + expected: Int128((high: 0, low: 4)))] + tests.append((input: Int128((high: 0, low: 2)), shiftWidth: UInt64(128), - expected: Int128(high: 0, low: 2))) - tests.append((input: Int128(high: 0, low: 1), + expected: Int128((high: 0, low: 2)))) + tests.append((input: Int128((high: 0, low: 1)), shiftWidth: UInt64(0), - expected: Int128(high: 0, low: 1))) + expected: Int128((high: 0, low: 1)))) tests.forEach { test in var testValue = test.input - testValue &<<= Int128(high: 0, low: test.shiftWidth) + testValue &<<= Int128((high: 0, low: test.shiftWidth)) XCTAssertEqual(testValue, test.expected) } } @@ -710,7 +710,7 @@ class NumericInt128Tests : XCTestCase { tests.append((augend: Int128.max, addend: 0, sum: Int128.max)) // UInt64.max + 1 = UInt64.max + 1 tests.append((augend: Int128(UInt64.max), addend: Int128(1), - sum: Int128(high: 1, low: 0))) + sum: Int128((high: 1, low: 0)))) return tests } @@ -741,9 +741,9 @@ class NumericInt128Tests : XCTestCase { tests.append((minuend: Int128.max, subtrahend: 0, difference: Int128.max)) // Int128.max - 1 = Int128.max - 1 tests.append((minuend: Int128.max, subtrahend: Int128(1), - difference: Int128(high: Int64.max, low: (UInt64.max >> 1) << 1))) + difference: Int128((high: Int64.max, low: (UInt64.max >> 1) << 1)))) // UInt64.max + 1 - 1 = UInt64.max - tests.append((minuend: Int128(high: 1, low: 0), subtrahend: Int128(1), + tests.append((minuend: Int128((high: 1, low: 0)), subtrahend: Int128(1), difference: Int128(UInt64.max))) return tests } @@ -773,7 +773,7 @@ class NumericInt128Tests : XCTestCase { [(multiplier: Int128.zero, multiplicator: Int128.zero, product: Int128.zero)] // Int64.max * Int64.max = Int128.max - UInt64.max - 1 tests.append((multiplier: Int128(Int64.max), multiplicator: Int128(Int64.max), - product: Int128(high: Int64.max >> 1, low: 1))) + product: Int128((high: Int64.max >> 1, low: 1)))) // Int128.max * 0 = 0 tests.append((multiplier: Int128.max, multiplicator: 0, product: Int128.zero)) @@ -812,10 +812,10 @@ class EquatableInt128Tests : XCTestCase { tests.append((lhs: Int128.max, rhs: Int128.max, result: true)) tests.append((lhs: Int128(UInt64.max), - rhs: Int128(high: Int64.max, low: UInt64.min), result: false)) - tests.append((lhs: Int128(high: 1, low: 0), - rhs: Int128(high: 1, low: 0), result: true)) - tests.append((lhs: Int128(high: 1, low: 0), + rhs: Int128((high: Int64.max, low: UInt64.min)), result: false)) + tests.append((lhs: Int128((high: 1, low: 0)), + rhs: Int128((high: 1, low: 0)), result: true)) + tests.append((lhs: Int128((high: 1, low: 0)), rhs: Int128(), result: false)) tests.forEach { test in @@ -828,11 +828,11 @@ class ExpressibleByInteger128LiteralTests : XCTestCase { func testInitWithIntegerLiteral() { var tests: [(input: Int64, result: Int128)] tests = [(input: 0, result: Int128())] - tests.append((input: 1, result: Int128(high: 0, low: 1))) - tests.append((input: 9223372036854775807, result: Int128(high: 0, low: UInt64(Int.max)))) + tests.append((input: 1, result: Int128((high: 0, low: 1)))) + tests.append((input: 9223372036854775807, result: Int128((high: 0, low: UInt64(Int.max))))) tests.forEach { test in - XCTAssertEqual(Int128(integerLiteral: test.input), test.result) + XCTAssertEqual(Int128(test.input), test.result) } } } @@ -850,7 +850,7 @@ class CustomStringConvertibleInt128Tests : XCTestCase { 16: "ffffffffffffffff", 18: "2d3fgb0b9cg4bd2f", 36: "3w5e11264sgsf"])) - tests.append((input: Int128(high: 1, low: 0), result: [ + tests.append((input: Int128((high: 1, low: 0)), result: [ 2: "10000000000000000000000000000000000000000000000000000000000000000", 8: "2000000000000000000000", 10: "18446744073709551616", @@ -910,7 +910,7 @@ class CustomDebugStringConvertibleInt128Tests : XCTestCase { result: "1")) tests.append((input: Int128(UInt64.max), result: "18446744073709551615")) - tests.append((input: Int128(high: 1, low: 0), + tests.append((input: Int128((high: 1, low: 0)), result: "18446744073709551616")) tests.append((input: Int128.max, result: "170141183460469231731687303715884105727")) @@ -934,8 +934,8 @@ class CustomDebugStringConvertibleInt128Tests : XCTestCase { class ComparableInt128Tests : XCTestCase { func testLessThanOperator() { var tests = [(lhs: Int128.zero, rhs: Int128(1), result: true)] - tests.append((lhs: Int128.zero, rhs: Int128(high: 1, low: 0), result: true)) - tests.append((lhs: Int128(1), rhs: Int128(high: 1, low: 0), result: true)) + tests.append((lhs: Int128.zero, rhs: Int128((high: 1, low: 0)), result: true)) + tests.append((lhs: Int128(1), rhs: Int128((high: 1, low: 0)), result: true)) tests.append((lhs: Int128(UInt64.max), rhs: Int128.max, result: true)) tests.append((lhs: Int128.zero, rhs: Int128.zero, result: false)) tests.append((lhs: Int128.max, rhs: Int128.max, result: false)) @@ -993,7 +993,7 @@ final class CodableInt128Tests : XCTestCase { final class FloatingPointInterworkingInt128Tests : XCTestCase { func testNonFailableInitializer() throws { var tests = [(input: Int128(), output: Float(0))] - tests.append((input: Int128(high: 0, low: UInt64.max), + tests.append((input: Int128((high: 0, low: UInt64.max)), output: Float(UInt64.max))) tests.forEach { test in @@ -1004,9 +1004,9 @@ final class FloatingPointInterworkingInt128Tests : XCTestCase { func testFailableInitializer() throws { var tests = [(input: Int128(), output: Float(0) as Float?)] - tests.append((input: Int128(high: 0, low: UInt64.max), + tests.append((input: Int128((high: 0, low: UInt64.max)), output: Float(UInt64.max) as Float?)) - tests.append((input: Int128(high: 1, low: 0), + tests.append((input: Int128((high: 1, low: 0)), output: nil)) tests.forEach { test in diff --git a/Tests/UInt128Tests/UInt128Tests.swift b/Tests/UInt128Tests/UInt128Tests.swift index e2870bf..4177333 100644 --- a/Tests/UInt128Tests/UInt128Tests.swift +++ b/Tests/UInt128Tests/UInt128Tests.swift @@ -39,39 +39,39 @@ let bizarreUInt128 = UInt128("0xf1f3f5f7f9fbfdfffefcfaf0f8f6f4f2") /// User tests that act as a basic smoke test on library functionality. class SystemTests : XCTestCase { func testCanReceiveAnInt() { - let expectedResult = UInt128(high: 0, low: 1) + let expectedResult = UInt128((high: 0, low: 1)) let testResult = UInt128(Int(1)) XCTAssertEqual(testResult, expectedResult) } func testCanBeSentToAnInt() { let expectedResult: Int = 1 - let uint = UInt128(high: 0, low: 1) + let uint = UInt128((high: 0, low: 1)) let testResult = Int(uint) XCTAssertEqual(testResult, expectedResult) } func testIntegerLiteralInput() { - let expectedResult = UInt128(high: 0, low: 1) + let expectedResult = UInt128((high: 0, low: 1)) let testResult: UInt128 = 1 XCTAssertEqual(testResult, expectedResult) } func testCanReceiveAString() { - let expectedResult = UInt128(high: 0, low: 1) + let expectedResult = UInt128((high: 0, low: 1)) let testResult = UInt128(String("1")) XCTAssertEqual(testResult, expectedResult) } func testStringLiteralInput() { - let expectedResult = UInt128(high: 0, low: 1) + let expectedResult = UInt128((high: 0, low: 1)) let testResult = UInt128("1") XCTAssertEqual(testResult, expectedResult) } func testCanBeSentToAFloat() { let expectedResult: Float = 1 - let testResult = Float(UInt128(high: 0, low: 1)) + let testResult = Float(UInt128((high: 0, low: 1))) XCTAssertEqual(testResult, expectedResult) } } @@ -79,14 +79,14 @@ class SystemTests : XCTestCase { /// Test properties and methods that are not tied to protocol conformance. class BaseTypeTests : XCTestCase { // func testSignificantBitsReturnsProperBitCount() { - // var tests = [(input: UInt128(), - // expected: UInt128(high: 0, low: 0))] - // tests.append((input: UInt128(high: 0, low: 1), - // expected: UInt128(high: 0, low: 1))) - // tests.append((input: UInt128(high: 0, low: UInt64.max), - // expected: UInt128(high: 0, low: 64))) + // var tests = [(input: UInt128), + // expected: UInt128((high: 0, low: 0))] + // tests.append((input: UInt128((high: 0, low: 1), + // expected: UInt128((high: 0, low: 1))) + // tests.append((input: UInt128((high: 0, low: UInt64.max), + // expected: UInt128((high: 0, low: 64))) // tests.append((input: UInt128.max, - // expected: UInt128(high: 0, low: 128))) + // expected: UInt128((high: 0, low: 128))) // // tests.forEach { test in // XCTAssertEqual(test.input.significantBits, test.expected) @@ -100,25 +100,25 @@ class BaseTypeTests : XCTestCase { output: (high: UInt64.max, low: UInt64.max))) tests.forEach { test in - let result = UInt128(high: test.input.high, - low: test.input.low) + let result = UInt128((high: test.input.high, + low: test.input.low)) - XCTAssertEqual(result.high, test.output.high) - XCTAssertEqual(result.low, test.output.low) + XCTAssertEqual(result._high, test.output.high) + XCTAssertEqual(result._low, test.output.low) } } func testDefaultInitializerSetsUpperAndLowerBitsToZero() { let result = UInt128() - XCTAssertEqual(result.high, 0) - XCTAssertEqual(result.low, 0) + XCTAssertEqual(result._high, 0) + XCTAssertEqual(result._low, 0) } func testInitWithUInt128() { var tests = [UInt128()] - tests.append(UInt128(high: 0, low: 1)) - tests.append(UInt128(high: 0, low: UInt64.max)) + tests.append(UInt128((high: 0, low: 1))) + tests.append(UInt128((high: 0, low: UInt64.max))) tests.append(UInt128.max) tests.forEach { test in @@ -147,8 +147,8 @@ class FixedWidthIntegerTests : XCTestCase { tests.append((input: UInt128(1), result: 1)) tests.append((input: UInt128(3), result: 2)) tests.append((input: UInt128(UInt64.max), result: 64)) - tests.append((input: UInt128(high: 1, low: 0), result: 1)) - tests.append((input: UInt128(high: 3, low: 0), result: 2)) + tests.append((input: UInt128((high: 1, low: 0)), result: 1)) + tests.append((input: UInt128((high: 3, low: 0)), result: 2)) tests.append((input: UInt128.max, result: 128)) tests.forEach { test in @@ -160,7 +160,7 @@ class FixedWidthIntegerTests : XCTestCase { var tests = [(input: UInt128.min, result: 128)] tests.append((input: UInt128(1), result: 127)) tests.append((input: UInt128(UInt64.max), result: 64)) - tests.append((input: UInt128(high: 1, low: 0), result: 63)) + tests.append((input: UInt128((high: 1, low: 0)), result: 63)) tests.append((input: UInt128.max, result: 0)) tests.forEach { test in @@ -171,9 +171,9 @@ class FixedWidthIntegerTests : XCTestCase { func endianTests() -> [(input: UInt128, byteSwapped: UInt128)] { var tests = [(input: UInt128(), byteSwapped: UInt128())] tests.append((input: UInt128(1), - byteSwapped: UInt128(high: 72057594037927936, low: 0))) - tests.append((input: UInt128(high: 17434549027881090559, low: 18373836492640810226), - byteSwapped: UInt128(high: 17506889200551263486, low: 18446176699804939249))) + byteSwapped: UInt128((high: 72057594037927936, low: 0)))) + tests.append((input: UInt128((high: 17434549027881090559, low: 18373836492640810226)), + byteSwapped: UInt128((high: 17506889200551263486, low: 18446176699804939249)))) return tests } @@ -233,7 +233,7 @@ class FixedWidthIntegerTests : XCTestCase { func testInitWithTruncatingBits() { let testResult = UInt128(_truncatingBits: UInt.max) - XCTAssertEqual(testResult, UInt128(high: 0, low: UInt64(UInt.max))) + XCTAssertEqual(testResult, UInt128((high: 0, low: UInt64(UInt.max)))) } func testAddingReportingOverflow() { @@ -251,7 +251,7 @@ class FixedWidthIntegerTests : XCTestCase { sum: (partialValue: UInt128(1), overflow: true))) // UInt64.max + 1 = UInt64.max + 1 tests.append((augend: UInt128(UInt64.max), addend: UInt128(1), - sum: (partialValue: UInt128(high: 1, low: 0), overflow: false))) + sum: (partialValue: UInt128((high: 1, low: 0)), overflow: false))) tests.forEach { test in let sum = test.augend.addingReportingOverflow(test.addend) @@ -269,9 +269,9 @@ class FixedWidthIntegerTests : XCTestCase { difference: (partialValue: UInt128.max, overflow: false))) // UInt128.max - 1 = UInt128.max - 1 tests.append((minuend: UInt128.max, subtrahend: UInt128(1), - difference: (partialValue: UInt128(high: UInt64.max, low: (UInt64.max >> 1) << 1), overflow: false))) + difference: (partialValue: UInt128((high: UInt64.max, low: (UInt64.max >> 1) << 1)), overflow: false))) // UInt64.max + 1 - 1 = UInt64.max - tests.append((minuend: UInt128(high: 1, low: 0), subtrahend: UInt128(1), + tests.append((minuend: UInt128((high: 1, low: 0)), subtrahend: UInt128(1), difference: (partialValue: UInt128(UInt64.max), overflow: false))) // 0 - 1 = UInt128.max, with overflow tests.append((minuend: UInt128.min, subtrahend: UInt128(1), @@ -293,7 +293,7 @@ class FixedWidthIntegerTests : XCTestCase { product: (partialValue: UInt128.min, overflow: false))] // UInt64.max * UInt64.max = UInt128.max - UInt64.max - 1 tests.append((multiplier: UInt128(UInt64.max), multiplicator: UInt128(UInt64.max), - product: (partialValue: UInt128(high: (UInt64.max >> 1) << 1, low: 1), overflow: false))) + product: (partialValue: UInt128((high: (UInt64.max >> 1) << 1, low: 1)), overflow: false))) // UInt128.max * 0 = 0 tests.append((multiplier: UInt128.max, multiplicator: UInt128.min, product: (partialValue: UInt128.min, overflow: false))) @@ -321,7 +321,7 @@ class FixedWidthIntegerTests : XCTestCase { tests.append((multiplier: UInt128(1), multiplicator: UInt128(1), product: (high: UInt128.min, low: UInt128(1)))) tests.append((multiplier: UInt128(UInt64.max), multiplicator: UInt128(UInt64.max), - product: (high: UInt128.min, low: UInt128(high: UInt64.max - 1, low: 1)))) + product: (high: UInt128.min, low: UInt128((high: UInt64.max - 1, low: 1))))) tests.append((multiplier: UInt128.max, multiplicator: UInt128.max, product: (high: UInt128.max ^ 1, low: UInt128(1)))) @@ -355,7 +355,7 @@ class FixedWidthIntegerTests : XCTestCase { remainder: (partialValue: UInt128(1), overflow: true))) // UInt128.max / UInt64.max = UInt128(high: 1, low: 1), remainder 0 tests.append((dividend: UInt128.max, divisor: UInt128(UInt64.max), - quotient: (partialValue: UInt128(high: 1, low: 1), overflow: false), + quotient: (partialValue: UInt128((high: 1, low: 1)), overflow: false), remainder: (partialValue: UInt128.min, overflow: false))) // UInt128.max / UInt128.max = 1, remainder 0 tests.append((dividend: UInt128.max, divisor: UInt128.max, @@ -442,7 +442,7 @@ class BinaryIntegerTests : XCTestCase { func testTrailingZeroBitCount() { var tests = [(input: UInt128.min, expected: 128)] tests.append((input: UInt128(1), expected: 0)) - tests.append((input: UInt128(high: 1, low: 0), expected: 64)) + tests.append((input: UInt128((high: 1, low: 0)), expected: 64)) tests.append((input: UInt128.max, expected: 0)) tests.forEach { test in @@ -489,7 +489,7 @@ class BinaryIntegerTests : XCTestCase { func test_word() { let lowerBits = UInt64("100000000000000000000000000000001", radix: 2)! let upperBits = UInt64("100000000000000000000000000000001", radix: 2)! - let testResult = UInt128(high: upperBits, low: lowerBits) + let testResult = UInt128((high: upperBits, low: lowerBits)) testResult.words.forEach { (currentWord) in if UInt.bitWidth == 64 { @@ -511,7 +511,7 @@ class BinaryIntegerTests : XCTestCase { quotient: UInt128(0), remainder: UInt128(1))) // UInt128.max / UInt64.max = UInt128(high: 1, low: 1), remainder 0 tests.append((dividend: UInt128.max, divisor: UInt128(UInt64.max), - quotient: UInt128(high: 1, low: 1), remainder: UInt128.min)) + quotient: UInt128((high: 1, low: 1)), remainder: UInt128.min)) // UInt128.max / UInt128.max = 1, remainder 0 tests.append((dividend: UInt128.max, divisor: UInt128.max, quotient: UInt128(1), remainder: UInt128.min)) @@ -586,12 +586,12 @@ class BinaryIntegerTests : XCTestCase { [(lhs: UInt128.min, rhs: UInt128.min, result: UInt128.min)] tests.append((lhs: UInt128(1), rhs: UInt128(1), result: UInt128(1))) tests.append((lhs: UInt128.min, rhs: UInt128.max, result: UInt128.min)) - tests.append((lhs: UInt128(high: UInt64.min, low: UInt64.max), - rhs: UInt128(high: UInt64.max, low: UInt64.min), + tests.append((lhs: UInt128((high: UInt64.min, low: UInt64.max)), + rhs: UInt128((high: UInt64.max, low: UInt64.min)), result: UInt128.min)) - tests.append((lhs: UInt128(high: 17434549027881090559, low: 18373836492640810226), - rhs: UInt128(high: 17506889200551263486, low: 18446176699804939249), - result: UInt128(high: 17361645879185571070, low: 18373836492506460400))) + tests.append((lhs: UInt128((high: 17434549027881090559, low: 18373836492640810226)), + rhs: UInt128((high: 17506889200551263486, low: 18446176699804939249)), + result: UInt128((high: 17361645879185571070, low: 18373836492506460400)))) tests.append((lhs: UInt128.max, rhs: UInt128.max, result: UInt128.max)) tests.forEach { test in @@ -606,12 +606,12 @@ class BinaryIntegerTests : XCTestCase { [(lhs: UInt128.min, rhs: UInt128.min, result: UInt128.min)] tests.append((lhs: UInt128(1), rhs: UInt128(1), result: UInt128(1))) tests.append((lhs: UInt128.min, rhs: UInt128.max, result: UInt128.max)) - tests.append((lhs: UInt128(high: UInt64.min, low: UInt64.max), - rhs: UInt128(high: UInt64.max, low: UInt64.min), + tests.append((lhs: UInt128((high: UInt64.min, low: UInt64.max)), + rhs: UInt128((high: UInt64.max, low: UInt64.min)), result: UInt128.max)) - tests.append((lhs: UInt128(high: 17434549027881090559, low: 18373836492640810226), - rhs: UInt128(high: 17506889200551263486, low: 18446176699804939249), - result: UInt128(high: 17579792349246782975, low: 18446176699939289075))) + tests.append((lhs: UInt128((high: 17434549027881090559, low: 18373836492640810226)), + rhs: UInt128((high: 17506889200551263486, low: 18446176699804939249)), + result: UInt128((high: 17579792349246782975, low: 18446176699939289075)))) tests.append((lhs: UInt128.max, rhs: UInt128.max, result: UInt128.max)) tests.forEach { test in @@ -626,12 +626,12 @@ class BinaryIntegerTests : XCTestCase { [(lhs: UInt128.min, rhs: UInt128.min, result: UInt128.min)] tests.append((lhs: UInt128(1), rhs: UInt128(1), result: UInt128.min)) tests.append((lhs: UInt128.min, rhs: UInt128.max, result: UInt128.max)) - tests.append((lhs: UInt128(high: UInt64.min, low: UInt64.max), - rhs: UInt128(high: UInt64.max, low: UInt64.min), + tests.append((lhs: UInt128((high: UInt64.min, low: UInt64.max)), + rhs: UInt128((high: UInt64.max, low: UInt64.min)), result: UInt128.max)) - tests.append((lhs: UInt128(high: 17434549027881090559, low: 18373836492640810226), - rhs: UInt128(high: 17506889200551263486, low: 18446176699804939249), - result: UInt128(high: 218146470061211905, low: 72340207432828675))) + tests.append((lhs: UInt128((high: 17434549027881090559, low: 18373836492640810226)), + rhs: UInt128((high: 17506889200551263486, low: 18446176699804939249)), + result: UInt128((high: 218146470061211905, low: 72340207432828675)))) tests.append((lhs: UInt128.max, rhs: UInt128.max, result: UInt128.min)) tests.forEach { test in @@ -642,74 +642,74 @@ class BinaryIntegerTests : XCTestCase { } func testMaskingRightShiftEqualOperatorStandardCases() { - var tests = [(input: UInt128(high: UInt64.max, low: 0), + var tests = [(input: UInt128((high: UInt64.max, low: 0)), shiftWidth: UInt64(127), - expected: UInt128(high: 0, low: 1))] - tests.append((input: UInt128(high: 1, low: 0), + expected: UInt128((high: 0, low: 1)))] + tests.append((input: UInt128((high: 1, low: 0)), shiftWidth: UInt64(64), - expected: UInt128(high: 0, low: 1))) - tests.append((input: UInt128(high: 0, low: 1), + expected: UInt128((high: 0, low: 1)))) + tests.append((input: UInt128((high: 0, low: 1)), shiftWidth: UInt64(1), expected: UInt128())) tests.forEach { test in var testValue = test.input - testValue &>>= UInt128(high: 0, low: test.shiftWidth) + testValue &>>= UInt128((high: 0, low: test.shiftWidth)) XCTAssertEqual(testValue, test.expected) } } func testMaskingRightShiftEqualOperatorEdgeCases() { - var tests = [(input: UInt128(high: 0, low: 2), + var tests = [(input: UInt128((high: 0, low: 2)), shiftWidth: UInt64(129), - expected: UInt128(high: 0, low: 1))] - tests.append((input: UInt128(high: UInt64.max, low: 0), + expected: UInt128((high: 0, low: 1)))] + tests.append((input: UInt128((high: UInt64.max, low: 0)), shiftWidth: UInt64(128), - expected: UInt128(high: UInt64.max, low: 0))) - tests.append((input: UInt128(high: 0, low: 1), + expected: UInt128((high: UInt64.max, low: 0)))) + tests.append((input: UInt128((high: 0, low: 1)), shiftWidth: UInt64(0), - expected: UInt128(high: 0, low: 1))) + expected: UInt128((high: 0, low: 1)))) tests.forEach { test in var testValue = test.input - testValue &>>= UInt128(high: 0, low: test.shiftWidth) + testValue &>>= UInt128((high: 0, low: test.shiftWidth)) XCTAssertEqual(testValue, test.expected) } } func testMaskingLeftShiftEqualOperatorStandardCases() { let uint64_1_in_msb: UInt64 = 2 << 62 - var tests = [(input: UInt128(high: 0, low: 1), + var tests = [(input: UInt128((high: 0, low: 1)), shiftWidth: UInt64(127), - expected: UInt128(high: uint64_1_in_msb, low: 0))] - tests.append((input: UInt128(high: 0, low: 1), + expected: UInt128((high: uint64_1_in_msb, low: 0)))] + tests.append((input: UInt128((high: 0, low: 1)), shiftWidth: UInt64(64), - expected: UInt128(high: 1, low: 0))) - tests.append((input: UInt128(high: 0, low: 1), + expected: UInt128((high: 1, low: 0)))) + tests.append((input: UInt128((high: 0, low: 1)), shiftWidth: UInt64(1), - expected: UInt128(high: 0, low: 2))) + expected: UInt128((high: 0, low: 2)))) tests.forEach { test in var testValue = test.input - testValue &<<= UInt128(high: 0, low: test.shiftWidth) + testValue &<<= UInt128((high: 0, low: test.shiftWidth)) XCTAssertEqual(testValue, test.expected) } } func testMaskingLeftShiftEqualOperatorEdgeCases() { - var tests = [(input: UInt128(high: 0, low: 2), + var tests = [(input: UInt128((high: 0, low: 2)), shiftWidth: UInt64(129), - expected: UInt128(high: 0, low: 4))] - tests.append((input: UInt128(high: 0, low: 2), + expected: UInt128((high: 0, low: 4)))] + tests.append((input: UInt128((high: 0, low: 2)), shiftWidth: UInt64(128), - expected: UInt128(high: 0, low: 2))) - tests.append((input: UInt128(high: 0, low: 1), + expected: UInt128((high: 0, low: 2)))) + tests.append((input: UInt128((high: 0, low: 1)), shiftWidth: UInt64(0), - expected: UInt128(high: 0, low: 1))) + expected: UInt128((high: 0, low: 1)))) tests.forEach { test in var testValue = test.input - testValue &<<= UInt128(high: 0, low: test.shiftWidth) + testValue &<<= UInt128((high: 0, low: test.shiftWidth)) XCTAssertEqual(testValue, test.expected) } } @@ -725,7 +725,7 @@ class NumericTests : XCTestCase { tests.append((augend: UInt128.max, addend: UInt128.min, sum: UInt128.max)) // UInt64.max + 1 = UInt64.max + 1 tests.append((augend: UInt128(UInt64.max), addend: UInt128(1), - sum: UInt128(high: 1, low: 0))) + sum: UInt128((high: 1, low: 0)))) return tests } @@ -757,9 +757,9 @@ class NumericTests : XCTestCase { difference: UInt128.max)) // UInt128.max - 1 = UInt128.max - 1 tests.append((minuend: UInt128.max, subtrahend: UInt128(1), - difference: UInt128(high: UInt64.max, low: (UInt64.max >> 1) << 1))) + difference: UInt128((high: UInt64.max, low: (UInt64.max >> 1) << 1)))) // UInt64.max + 1 - 1 = UInt64.max - tests.append((minuend: UInt128(high: 1, low: 0), subtrahend: UInt128(1), + tests.append((minuend: UInt128((high: 1, low: 0)), subtrahend: UInt128(1), difference: UInt128(UInt64.max))) return tests } @@ -789,7 +789,7 @@ class NumericTests : XCTestCase { [(multiplier: UInt128.min, multiplicator: UInt128.min, product: UInt128.min)] // UInt64.max * UInt64.max = UInt128.max - UInt64.max - 1 tests.append((multiplier: UInt128(UInt64.max), multiplicator: UInt128(UInt64.max), - product: UInt128(high: (UInt64.max >> 1) << 1, low: 1))) + product: UInt128((high: (UInt64.max >> 1) << 1, low: 1)))) // UInt128.max * 0 = 0 tests.append((multiplier: UInt128.max, multiplicator: UInt128.min, product: UInt128.min)) @@ -828,10 +828,10 @@ class EquatableTests : XCTestCase { tests.append((lhs: UInt128.max, rhs: UInt128.max, result: true)) tests.append((lhs: UInt128(UInt64.max), - rhs: UInt128(high: UInt64.max, low: UInt64.min), result: false)) - tests.append((lhs: UInt128(high: 1, low: 0), - rhs: UInt128(high: 1, low: 0), result: true)) - tests.append((lhs: UInt128(high: 1, low: 0), + rhs: UInt128((high: UInt64.max, low: UInt64.min)), result: false)) + tests.append((lhs: UInt128((high: 1, low: 0)), + rhs: UInt128((high: 1, low: 0)), result: true)) + tests.append((lhs: UInt128((high: 1, low: 0)), rhs: UInt128(), result: false)) tests.forEach { test in @@ -844,11 +844,11 @@ class ExpressibleByIntegerLiteralTests : XCTestCase { func testInitWithIntegerLiteral() { var tests: [(input: Int64, result: UInt128)] tests = [(input: 0, result: UInt128())] - tests.append((input: 1, result: UInt128(high: 0, low: 1))) - tests.append((input: 9223372036854775807, result: UInt128(high: 0, low: UInt64(Int.max)))) + tests.append((input: 1, result: UInt128((high: 0, low: 1)))) + tests.append((input: 9223372036854775807, result: UInt128((high: 0, low: UInt64(Int.max))))) tests.forEach { test in - XCTAssertEqual(UInt128(integerLiteral: test.input), test.result) + XCTAssertEqual(UInt128(test.input), test.result) } } } @@ -866,7 +866,7 @@ class CustomStringConvertibleTests : XCTestCase { 16: "ffffffffffffffff", 18: "2d3fgb0b9cg4bd2f", 36: "3w5e11264sgsf"])) - tests.append((input: UInt128(high: 1, low: 0), result: [ + tests.append((input: UInt128((high: 1, low: 0)), result: [ 2: "10000000000000000000000000000000000000000000000000000000000000000", 8: "2000000000000000000000", 10: "18446744073709551616", @@ -931,7 +931,7 @@ class CustomDebugStringConvertibleTests : XCTestCase { result: "1")) tests.append((input: UInt128(UInt64.max), result: "18446744073709551615")) - tests.append((input: UInt128(high: 1, low: 0), + tests.append((input: UInt128((high: 1, low: 0)), result: "18446744073709551616")) tests.append((input: UInt128.max, result: "340282366920938463463374607431768211455")) @@ -955,8 +955,8 @@ class CustomDebugStringConvertibleTests : XCTestCase { class ComparableTests : XCTestCase { func testLessThanOperator() { var tests = [(lhs: UInt128.min, rhs: UInt128(1), result: true)] - tests.append((lhs: UInt128.min, rhs: UInt128(high: 1, low: 0), result: true)) - tests.append((lhs: UInt128(1), rhs: UInt128(high: 1, low: 0), result: true)) + tests.append((lhs: UInt128.min, rhs: UInt128((high: 1, low: 0)), result: true)) + tests.append((lhs: UInt128(1), rhs: UInt128((high: 1, low: 0)), result: true)) tests.append((lhs: UInt128(UInt64.max), rhs: UInt128.max, result: true)) tests.append((lhs: UInt128.min, rhs: UInt128.min, result: false)) tests.append((lhs: UInt128.max, rhs: UInt128.max, result: false)) @@ -1014,7 +1014,7 @@ final class CodableTests : XCTestCase { final class FloatingPointInterworkingTests : XCTestCase { func testNonFailableInitializer() throws { var tests = [(input: UInt128(), output: Float(0))] - 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0:i,s);if(this._isFallbackRoot(m)){if(!this._root)throw Error("unexpected error");var y=this._root.$i18n;m=y._translate(y._getMessages(),y.locale,y.fallbackLocale,v,r,o,i)}m=this._warnDefault(t,v,m,r,a(i)?i:[i],o),this._modifiers.hasOwnProperty(d)?m=this._modifiers[d](m):kt.hasOwnProperty(d)&&(m=kt[d](m)),s.pop(),c=m?c.replace(f,m):c}return c},xt.prototype._createMessageContext=function(t,e,n,r){var o=this,i=a(t)?t:[],c=s(t)?t:{},u=function(t){return i[t]},l=function(t){return c[t]},f=this._getMessages(),p=this.locale;return{list:u,named:l,values:t,formatter:e,path:n,messages:f,locale:p,linked:function(t){return o._interpolate(p,f[p]||{},t,null,r,void 0,[t])}}},xt.prototype._render=function(t,e,n,r){if(d(t))return t(this._createMessageContext(n,this._formatter||$t,r,e));var o=this._formatter.interpolate(t,n,r);return o||(o=$t.interpolate(t,n,r)),"string"!==e||u(o)?o:o.join("")},xt.prototype._appendItemToChain=function(t,e,n){var r=!1;return 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i=this._translate(n,e,this.fallbackLocale,t,r,"raw",o);if(this._isFallbackRoot(i)){if(!this._root)throw Error("unexpected error");return this._root.$i18n.i(t,e,o)}return this._warnDefault(e,t,i,r,[o],"raw")},xt.prototype.i=function(t,e,n){return t?(u(e)||(e=this.locale),this._i(t,e,this._getMessages(),null,n)):""},xt.prototype._tc=function(t,e,n,r,o){var i,a=[],s=arguments.length-5;while(s-- >0)a[s]=arguments[s+5];if(!t)return"";void 0===o&&(o=1);var c={count:o,n:o},u=v.apply(void 0,a);return u.params=Object.assign(c,u.params),a=null===u.locale?[u.params]:[u.locale,u.params],this.fetchChoice((i=this)._t.apply(i,[t,e,n,r].concat(a)),o)},xt.prototype.fetchChoice=function(t,e){if(!t||!u(t))return null;var n=t.split("|");return e=this.getChoiceIndex(e,n.length),n[e]?n[e].trim():t},xt.prototype.tc=function(t,e){var n,r=[],o=arguments.length-2;while(o-- 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t=[];t=this.activeTags.length>0?this.activeTags:[this.name],e.clipboardData.setData("text/html",yo({tags:t})),e.clipboardData.setData("text/plain",t.join(" 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jo=5,Fo="filter-input",Ho="selected-tags",Vo="suggested-tags",Wo={autocorrect:"off",autocapitalize:"off",spellcheck:"false",role:"combobox","aria-haspopup":"true","aria-autocomplete":"none","aria-owns":"suggestedTags","aria-controls":"suggestedTags"};var Uo,Qo,Go={name:"FilterInput",mixins:[ko,_o],constants:{FilterInputId:Fo,SelectedTagsId:Ho,SuggestedTagsId:Vo,AXinputProperties:Wo,TagLimit:jo},components:{TagList:qo,ClearRoundedIcon:uo,FilterIcon:Do},props:{positionReversed:{type:Boolean,default:()=>!1},tags:{type:Array,default:()=>[]},selectedTags:{type:Array,default:()=>[]},preventedBlur:{type:Boolean,default:()=>!1},placeholder:{type:String,default:()=>""},disabled:{type:Boolean,default:()=>!1},value:{type:String,default:()=>""},shouldTruncateTags:{type:Boolean,default:!1},focusInputWhenCreated:{type:Boolean,default:!1},focusInputWhenEmpty:{type:Boolean,default:!1},selectInputOnFocus:{type:Boolean,default:!1},preventBorderStyle:{type:Boolean,default:!1},translatableTags:{type:Array,default:()=>[]}},data(){return{resetedTagsViaDeleteButton:!1,FilterInputId:Fo,SelectedTagsId:Ho,SuggestedTagsId:Vo,AXinputProperties:Wo,showSuggestedTags:!1}},computed:{hasSuggestedTags:({suggestedTags:e})=>e.length,hasSelectedTags:({selectedTags:e})=>e.length,inputIsNotEmpty:({input:e,hasSelectedTags:t})=>e.length||t,searchAriaLabelledBy:({hasSelectedTags:e})=>e?Fo.concat(" 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t=await(0,x.k_)(e.path,{signal:this.abortController.signal});this.$cachedSymbolResults.set(e.uid,{success:!0,json:t})}catch(t){t.name!==Rl&&this.$cachedSymbolResults.set(e.uid,{success:!1})}finally{this.cachedSymbolResults=Object.freeze(Object.fromEntries(this.$cachedSymbolResults))}};this.abortController&&this.abortController.abort(),this.abortController=new AbortController,await Promise.all([e(this.selectedSymbol).finally((()=>{clearTimeout(this.loadingTimeout),this.previewIsLoadingSlowly=!1})),e(this.nextSymbol)])}}},zl=Ml,Kl=(0,j.Z)(zl,to,no,!1,null,"2f89fac2",null),Zl=Kl.exports,ql=function(){var e=this,t=e._self._c;return t("div",{staticClass:"adjustable-sidebar-width",class:{dragging:e.isDragging,"sidebar-hidden":!e.enableNavigator||e.hiddenOnLarge}},[e.enableNavigator?t("div",{ref:"sidebar",staticClass:"sidebar"},[t("div",{ref:"aside",staticClass:"aside",class:e.asideClasses,style:e.asideStyles,attrs:{"aria-hidden":e.hiddenOnLarge?"true":null},on:{transitionstart:function(t){return t.target!==t.currentTarget?null:e.trackTransitionStart.apply(null,arguments)},transitionend:function(t){return t.target!==t.currentTarget?null:e.trackTransitionEnd.apply(null,arguments)}}},[e._t("aside",null,{animationClass:"aside-animated-child",scrollLockID:e.scrollLockID,breakpoint:e.breakpoint})],2),e.fixedWidth?e._e():t("div",{staticClass:"resize-handle",on:{mousedown:function(t){return t.preventDefault(),e.startDrag.apply(null,arguments)},touchstart:function(t){return t.preventDefault(),e.startDrag.apply(null,arguments)}}})]):e._e(),t("div",{ref:"content",staticClass:"content"},[e._t("default")],2),e.enableNavigator?t("BreakpointEmitter",{attrs:{scope:e.BreakpointScopes.nav},on:{change:function(t){e.breakpoint=t}}}):e._e()],1)},jl=[],Fl=n(7247),Hl=n(7188),Vl=n(114),Wl=n(1147),Ul=n(1716);const Ql="sidebar",Gl=1521,Xl=543,Yl=400,Jl={touch:{move:"touchmove",end:"touchend"},mouse:{move:"mousemove",end:"mouseup"}},ec=(e,t=window.innerWidth)=>{const n=Math.min(t,Gl);return Math.floor(Math.min(n*(e/100),n))},tc={medium:30,large:30},nc={medium:50,large:40},ic="sidebar-scroll-lock";var ac={name:"AdjustableSidebarWidth",constants:{SCROLL_LOCK_ID:ic},components:{BreakpointEmitter:Hl["default"]},inject:["store"],props:{shownOnMobile:{type:Boolean,default:!1},enableNavigator:{type:Boolean,default:!0},hiddenOnLarge:{type:Boolean,default:!1},fixedWidth:{type:Number,default:null}},data(){const 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e=[],{items:t,keyField:n,simpleArray:i}=this,a=this.vscrollData.sizes,s=t.length;for(let r=0;r=n)break;i+=t[o].size||this.minItemSize,a+=e[o].size||this.minItemSize}const r=a-i;0!==r&&(this.$el.scrollTop+=r)}},beforeCreate(){this.$_updates=[],this.$_undefinedSizes=0,this.$_undefinedMap={}},activated(){this.vscrollData.active=!0},deactivated(){this.vscrollData.active=!1},methods:{onScrollerResize(){const e=this.$refs.scroller;e&&this.forceUpdate(),this.$emit("resize")},onScrollerVisible(){this.$emit("vscroll:update",{force:!1}),this.$emit("visible")},forceUpdate(e=!0){(e||this.simpleArray)&&(this.vscrollData.validSizes={}),this.$emit("vscroll:update",{force:!0})},scrollToItem(e){const t=this.$refs.scroller;t&&t.scrollToItem(e)},getItemSize(e,t=undefined){const n=this.simpleArray?null!=t?t:this.items.indexOf(e):e[this.keyField];return this.vscrollData.sizes[n]||0},scrollToBottom(){if(this.$_scrollingToBottom)return;this.$_scrollingToBottom=!0;const e=this.$el;this.$nextTick((()=>{e.scrollTop=e.scrollHeight+5e3;const t=()=>{e.scrollTop=e.scrollHeight+5e3,requestAnimationFrame((()=>{e.scrollTop=e.scrollHeight+5e3,0===this.$_undefinedSizes?this.$_scrollingToBottom=!1:requestAnimationFrame(t)}))};requestAnimationFrame(t)}))}}};const ad=id;var sd=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("RecycleScroller",e._g(e._b({ref:"scroller",attrs:{items:e.itemsWithSize,"min-item-size":e.minItemSize,direction:e.direction,"key-field":"id","list-tag":e.listTag,"item-tag":e.itemTag},on:{resize:e.onScrollerResize,visible:e.onScrollerVisible},scopedSlots:e._u([{key:"default",fn:function(t){var n=t.item,i=t.index,a=t.active;return[e._t("default",null,null,{item:n.item,index:i,active:a,itemWithSize:n})]}}],null,!0)},"RecycleScroller",e.$attrs,!1),e.listeners),[e._v(" "),n("template",{slot:"before"},[e._t("before")],2),e._v(" "),n("template",{slot:"after"},[e._t("after")],2),e._v(" "),n("template",{slot:"empty"},[e._t("empty")],2)],2)},rd=[];sd._withStripped=!0;const od=void 0,ld=void 0,cd=void 0,dd=!1,ud=Uc({render:sd,staticRenderFns:rd},od,ad,ld,dd,cd,!1,void 0,void 0,void 0);var hd={name:"DynamicScrollerItem",inject:["vscrollData","vscrollParent","vscrollResizeObserver"],props:{item:{required:!0},watchData:{type:Boolean,default:!1},active:{type:Boolean,required:!0},index:{type:Number,default:void 0},sizeDependencies:{type:[Array,Object],default:null},emitResize:{type:Boolean,default:!1},tag:{type:String,default:"div"}},computed:{id(){if(this.vscrollData.simpleArray)return this.index;if(this.item.hasOwnProperty(this.vscrollData.keyField))return this.item[this.vscrollData.keyField];throw new Error(`keyField '${this.vscrollData.keyField}' not found in your item. You should set a valid keyField prop on your Scroller`)},size(){return this.vscrollData.validSizes[this.id]&&this.vscrollData.sizes[this.id]||0},finalActive(){return this.active&&this.vscrollData.active}},watch:{watchData:"updateWatchData",id(){this.size||this.onDataUpdate()},finalActive(e){this.size||(e?this.vscrollParent.$_undefinedMap[this.id]||(this.vscrollParent.$_undefinedSizes++,this.vscrollParent.$_undefinedMap[this.id]=!0):this.vscrollParent.$_undefinedMap[this.id]&&(this.vscrollParent.$_undefinedSizes--,this.vscrollParent.$_undefinedMap[this.id]=!1)),this.vscrollResizeObserver?e?this.observeSize():this.unobserveSize():e&&this.$_pendingVScrollUpdate===this.id&&this.updateSize()}},created(){if(!this.$isServer&&(this.$_forceNextVScrollUpdate=null,this.updateWatchData(),!this.vscrollResizeObserver)){for(const e in this.sizeDependencies)this.$watch((()=>this.sizeDependencies[e]),this.onDataUpdate);this.vscrollParent.$on("vscroll:update",this.onVscrollUpdate),this.vscrollParent.$on("vscroll:update-size",this.onVscrollUpdateSize)}},mounted(){this.vscrollData.active&&(this.updateSize(),this.observeSize())},beforeDestroy(){this.vscrollParent.$off("vscroll:update",this.onVscrollUpdate),this.vscrollParent.$off("vscroll:update-size",this.onVscrollUpdateSize),this.unobserveSize()},methods:{updateSize(){this.finalActive?this.$_pendingSizeUpdate!==this.id&&(this.$_pendingSizeUpdate=this.id,this.$_forceNextVScrollUpdate=null,this.$_pendingVScrollUpdate=null,this.computeSize(this.id)):this.$_forceNextVScrollUpdate=this.id},updateWatchData(){this.watchData&&!this.vscrollResizeObserver?this.$_watchData=this.$watch("item",(()=>{this.onDataUpdate()}),{deep:!0}):this.$_watchData&&(this.$_watchData(),this.$_watchData=null)},onVscrollUpdate({force:e}){!this.finalActive&&e&&(this.$_pendingVScrollUpdate=this.id),this.$_forceNextVScrollUpdate!==this.id&&!e&&this.size||this.updateSize()},onDataUpdate(){this.updateSize()},computeSize(e){this.$nextTick((()=>{if(this.id===e){const e=this.$el.offsetWidth,t=this.$el.offsetHeight;this.applySize(e,t)}this.$_pendingSizeUpdate=null}))},applySize(e,t){const n=~~("vertical"===this.vscrollParent.direction?t:e);n&&this.size!==n&&(this.vscrollParent.$_undefinedMap[this.id]&&(this.vscrollParent.$_undefinedSizes--,this.vscrollParent.$_undefinedMap[this.id]=void 0),this.$set(this.vscrollData.sizes,this.id,n),this.$set(this.vscrollData.validSizes,this.id,!0),this.emitResize&&this.$emit("resize",this.id))},observeSize(){this.vscrollResizeObserver&&this.$el.parentNode&&(this.vscrollResizeObserver.observe(this.$el.parentNode),this.$el.parentNode.addEventListener("resize",this.onResize))},unobserveSize(){this.vscrollResizeObserver&&(this.vscrollResizeObserver.unobserve(this.$el.parentNode),this.$el.parentNode.removeEventListener("resize",this.onResize))},onResize(e){const{width:t,height:n}=e.detail.contentRect;this.applySize(t,n)}},render(e){return e(this.tag,this.$slots.default)}};const pd=hd,gd=void 0,fd=void 0,md=void 0,yd=void 0,vd=Uc({},gd,pd,fd,yd,md,!1,void 0,void 0,void 0);function bd({idProp:e=(e=>e.item.id)}={}){const t={},n=new Kc["default"]({data(){return{store:t}}});return{data(){return{idState:null}},created(){this.$_id=null,this.$_getId="function"===typeof e?()=>e.call(this,this):()=>this[e],this.$watch(this.$_getId,{handler(e){this.$nextTick((()=>{this.$_id=e}))},immediate:!0}),this.$_updateIdState()},beforeUpdate(){this.$_updateIdState()},methods:{$_idStateInit(e){const i=this.$options.idState;if("function"===typeof i){const a=i.call(this,this);return n.$set(t,e,a),this.$_id=e,a}throw new Error("[mixin IdState] Missing `idState` function on component definition.")},$_updateIdState(){const n=this.$_getId();null==n&&console.warn(`No id found for IdState with idProp: '${e}'.`),n!==this.$_id&&(t[n]||this.$_idStateInit(n),this.idState=t[n])}}}}function Td(e,t){e.component(`${t}recycle-scroller`,nd),e.component(`${t}RecycleScroller`,nd),e.component(`${t}dynamic-scroller`,ud),e.component(`${t}DynamicScroller`,ud),e.component(`${t}dynamic-scroller-item`,vd),e.component(`${t}DynamicScrollerItem`,vd)}const _d={version:"1.1.2",install(e,t){const n=Object.assign({},{installComponents:!0,componentsPrefix:""},t);for(const i in n)"undefined"!==typeof n[i]&&(Zc[i]=n[i]);n.installComponents&&Td(e,n.componentsPrefix)}};let Sd=null;function kd(e){const t=(0,bn.RL)((0,bn.hr)(e));return new RegExp(t,"ig")}"undefined"!==typeof window?Sd=window.Vue:"undefined"!==typeof n.g&&(Sd=n.g.Vue),Sd&&Sd.use(_d);var Cd,wd,xd=function(){var e=this,t=e._self._c;return t("BaseNavigatorCardItem",{class:{expanded:e.expanded,active:e.isActive,"is-group":e.isGroupMarker},style:{"--nesting-index":e.item.depth},attrs:{"data-nesting-index":e.item.depth,id:`container-${e.item.uid}`,"aria-hidden":e.isRendered?null:"true",hideNavigatorIcon:e.isGroupMarker},nativeOn:{keydown:[function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"left",37,t.key,["Left","ArrowLeft"])||"button"in t&&0!==t.button?null:(t.preventDefault(),e.handleLeftKeydown.apply(null,arguments))},function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"right",39,t.key,["Right","ArrowRight"])||"button"in t&&2!==t.button||t.ctrlKey||t.shiftKey||t.altKey||t.metaKey?null:(t.preventDefault(),e.handleRightKeydown.apply(null,arguments))},function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"enter",13,t.key,"Enter")?null:(t.preventDefault(),e.clickReference.apply(null,arguments))},function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"right",39,t.key,["Right","ArrowRight"])?null:t.altKey?"button"in t&&2!==t.button?null:(t.preventDefault(),e.toggleEntireTree.apply(null,arguments)):null}]},scopedSlots:e._u([{key:"depth-spacer",fn:function(){return[t("span",{attrs:{hidden:"",id:e.usageLabel}},[e._v(" "+e._s(e.$t("filter.navigate"))+" ")]),e.isParent?t("button",{staticClass:"tree-toggle",attrs:{tabindex:"-1","aria-labelledby":e.item.uid,"aria-expanded":e.expanded?"true":"false","aria-describedby":e.ariaDescribedBy},on:{click:[function(t){return t.ctrlKey||t.shiftKey||t.altKey||t.metaKey?null:(t.preventDefault(),e.toggleTree.apply(null,arguments))},function(t){return t.altKey?(t.preventDefault(),e.toggleEntireTree.apply(null,arguments)):null},function(t){return t.metaKey?(t.preventDefault(),e.toggleSiblings.apply(null,arguments)):null}]}},[t("InlineChevronRightIcon",{staticClass:"icon-inline chevron",class:{rotate:e.expanded,animating:e.idState.isOpening}})],1):e._e()]},proxy:!0},{key:"navigator-icon",fn:function({className:n}){return[e.apiChange?t("span",{class:[{[`changed changed-${e.apiChange}`]:e.apiChange},n]}):t("TopicTypeIcon",{key:e.item.uid,class:n,attrs:{type:e.item.type,"image-override":e.item.icon?e.navigatorReferences[e.item.icon]:null,shouldCalculateOptimalWidth:!1}})]}},{key:"title-container",fn:function(){return[e.isParent?t("span",{attrs:{hidden:"",id:e.parentLabel}},[e._v(e._s(e.$tc("filter.parent-label",e.item.childUIDs.length,{"number-siblings":e.item.index+1,"total-siblings":e.item.siblingsCount,"parent-siblings":e.item.parent,"number-parent":e.item.childUIDs.length})))]):e._e(),e.isParent?e._e():t("span",{attrs:{id:e.siblingsLabel,hidden:""}},[e._v(" "+e._s(e.$t("filter.siblings-label",{"number-siblings":e.item.index+1,"total-siblings":e.item.siblingsCount,"parent-siblings":e.item.parent}))+" ")]),t(e.refComponent,{ref:"reference",tag:"component",staticClass:"leaf-link",class:{bolded:e.isBold},attrs:{id:e.item.uid,url:e.isGroupMarker?null:e.item.path||"",tabindex:e.isFocused?"0":"-1","aria-describedby":`${e.ariaDescribedBy} ${e.usageLabel}`},nativeOn:{click:[function(t){return t.ctrlKey||t.shiftKey||t.altKey||t.metaKey?null:e.handleClick.apply(null,arguments)},function(t){return t.altKey?(t.preventDefault(),e.toggleEntireTree.apply(null,arguments)):null}]}},[t("HighlightMatches",{attrs:{text:e.item.title,matcher:e.filterPattern}})],1),e.isDeprecated?t("Badge",{attrs:{variant:"deprecated"}}):e.isBeta?t("Badge",{attrs:{variant:"beta"}}):e._e()]},proxy:!0},{key:"content-container",fn:function(){return[e._t("card-item-content")]},proxy:!0}],null,!0)})},Id=[],$d=function(){var e=this,t=e._self._c;return t("div",{staticClass:"navigator-card-item"},[t("div",{staticClass:"head-wrapper"},[t("div",{staticClass:"depth-spacer"},[e._t("depth-spacer")],2),e.hideNavigatorIcon?e._e():t("div",{staticClass:"navigator-icon-wrapper"},[e._t("navigator-icon",null,{className:"navigator-icon"})],2),t("div",{staticClass:"title-container"},[e._t("title-container")],2),t("div",{staticClass:"content-container"},[e._t("content-container")],2)])])},Dd=[],Pd={name:"BaseNavigatorCardItem",props:{hideNavigatorIcon:{type:Boolean,default:()=>!1}}},Ld=Pd,Od=(0,j.Z)(Ld,$d,Dd,!1,null,"5e71f320",null),Ad=Od.exports,Nd={name:"HighlightMatch",props:{text:{type:String,required:!0},matcher:{type:RegExp,default:void 0}},render(e){const{matcher:t,text:n}=this;if(!t)return e("p",{class:"highlight"},n);const i=[];let a=0,s=null;const r=new RegExp(t,"gi");while(null!==(s=r.exec(n))){const t=s[0].length,r=s.index+t,o=n.slice(a,s.index);o&&i.push(e("span",o));const l=n.slice(s.index,r);l&&i.push(e("span",{class:"match"},l)),a=r}const o=n.slice(a,n.length);return o&&i.push(e("span",o)),e("p",{class:"highlight"},i)}},Rd=Nd,Bd=(0,j.Z)(Rd,Cd,wd,!1,null,"7b81ca08",null),Ed=Bd.exports,Md={name:"NavigatorCardItem",mixins:[bd({idProp:e=>e.item.uid})],components:{BaseNavigatorCardItem:Ad,HighlightMatches:Ed,TopicTypeIcon:Ce.Z,InlineChevronRightIcon:Pr.Z,Reference:Va.Z,Badge:qi.Z},props:{isRendered:{type:Boolean,default:!1},item:{type:Object,required:!0},expanded:{type:Boolean,default:!1},filterPattern:{type:RegExp,default:void 0},filterText:{type:String,default:null},isActive:{type:Boolean,default:!1},isBold:{type:Boolean,default:!1},apiChange:{type:String,default:null,validator:e=>qt.UG.includes(e)},isFocused:{type:Boolean,default:()=>!1},enableFocus:{type:Boolean,default:!0},navigatorReferences:{type:Object,default:()=>({})}},idState(){return{isOpening:!1}},computed:{isGroupMarker:({item:{type:e}})=>e===we.t.groupMarker,isParent:({item:e,isGroupMarker:t})=>!!e.childUIDs.length&&!t,parentLabel:({item:e})=>`label-parent-${e.uid}`,siblingsLabel:({item:e})=>`label-${e.uid}`,usageLabel:({item:e})=>`usage-${e.uid}`,ariaDescribedBy:({isParent:e,parentLabel:t,siblingsLabel:n})=>e?`${t}`:`${n}`,isBeta:({item:{beta:e}})=>!!e,isDeprecated:({item:{deprecated:e}})=>!!e,refComponent:({isGroupMarker:e})=>e?"h3":Va.Z},methods:{toggleTree(){this.idState.isOpening=!0,this.$emit("toggle",this.item)},toggleEntireTree(){this.idState.isOpening=!0,this.$emit("toggle-full",this.item)},toggleSiblings(){this.idState.isOpening=!0,this.$emit("toggle-siblings",this.item)},handleLeftKeydown(){this.expanded?this.toggleTree():this.$emit("focus-parent",this.item)},handleRightKeydown(){!this.expanded&&this.isParent&&this.toggleTree()},clickReference(){(this.$refs.reference.$el||this.$refs.reference).click()},focusReference(){(this.$refs.reference.$el||this.$refs.reference).focus()},handleClick(){this.isGroupMarker||this.$emit("navigate",this.item.uid)}},watch:{async isFocused(e){await(0,Ee.J)(8),e&&this.isRendered&&this.enableFocus&&this.focusReference()},async expanded(){await(0,Ee.J)(9),this.idState.isOpening=!1}}},zd=Md,Kd=(0,j.Z)(zd,xd,Id,!1,null,"5148de22",null),Zd=Kd.exports,qd=function(){var e=this,t=e._self._c;return t("div",{staticClass:"navigator-card"},[t("div",{staticClass:"navigator-card-full-height"},[t("div",{staticClass:"navigator-card-inner"},[t("div",{staticClass:"head-wrapper"},[e._t("above-navigator-head"),t("div",{staticClass:"head-inner"},[e._t("navigator-head"),t("button",{staticClass:"close-card",attrs:{id:e.SIDEBAR_HIDE_BUTTON_ID,"aria-label":e.$t("navigator.close-navigator")},on:{click:e.handleHideClick}},[t("InlineCloseIcon",{staticClass:"icon-inline close-icon"})],1)],2)],2),e._t("body",null,{className:"card-body"})],2)])])},jd=[],Fd=n(7181),Hd={name:"BaseNavigatorCard",components:{InlineCloseIcon:Fd.Z},data(){return{SIDEBAR_HIDE_BUTTON_ID:wl}},methods:{async handleHideClick(){this.$emit("close"),await this.$nextTick();const e=document.getElementById(Ul.Yj);e&&e.focus()}}},Vd=Hd,Wd=(0,j.Z)(Vd,qd,jd,!1,null,"584a744a",null),Ud=Wd.exports;const Qd={sampleCode:"filter.tags.sample-code",tutorials:"filter.tags.tutorials",articles:"filter.tags.articles",webServiceEndpoints:"filter.tags.web-service-endpoints"},Gd=qt.Ag,Xd={...Qd,...Gd,hideDeprecated:"filter.tags.hide-deprecated"},Yd={[we.t.article]:Xd.articles,[we.t.learn]:Xd.tutorials,[we.t.overview]:Xd.tutorials,[we.t.resources]:Xd.tutorials,[we.t.sampleCode]:Xd.sampleCode,[we.t.section]:Xd.tutorials,[we.t.tutorial]:Xd.tutorials,[we.t.project]:Xd.tutorials,[we.t.httpRequest]:Xd.webServiceEndpoints};var Jd={computed:{filteredChildren:({children:e,selectedTags:t,apiChanges:n,filterPattern:i,filterChildren:a})=>a(e,t,n,i),navigatorItems:({nodesToRender:e})=>e},methods:{filterChildren(e,t,n,i){const a=new Set(t);return e.filter((({title:e,path:t,type:s,deprecated:r,deprecatedChildrenCount:o,childUIDs:l})=>{const c=!i||i.test(e),d=r||o===l.length;let u=!0;if(a.size){if(u=a.has(Yd[s]),n&&!u){const e=n[t];u=a.has(Xd[e])}a.has(Xd.hideDeprecated)&&(u=!d)}const h=!n||!!n[t];return c&&u&&h}))}}},eu={name:"TagsDataProvider",constants:{TOPIC_TYPE_TO_TAG:Yd},props:{shouldTruncateTags:{type:Boolean,default:!1}},computed:{availableTags:({renderableChildNodesMap:e,apiChangesObject:t,extractTags:n})=>n(e,t),suggestedTags({availableTags:e,selectedTags:t,hideAvailableTags:n}){return n||t.length?[]:e},translatableTags:({availableTags:e})=>[Xd.hideDeprecated,...e]},methods:{extractTags(e,t){const n=new Set(Object.values(Qd)),i={type:[],changes:[],other:[]},a=new Set(Object.values(t));a.size?a.forEach((e=>{n.add(Xd[e])})):n.add(Xd.hideDeprecated);for(const s in e){if(!Object.hasOwnProperty.call(e,s))continue;if(!n.size)break;const{type:a,path:r,deprecated:o}=e[s],l=Yd[a];l&&n.has(l)&&(i.type.push(l),n.delete(l));const c=t[r];c&&n.has(Xd[c])&&(i.changes.push(Xd[c]),n.delete(Xd[c])),o&&n.has(Xd.hideDeprecated)&&(i.other.push(Xd.hideDeprecated),n.delete(Xd.hideDeprecated))}return Object.values(i).flat()}}};const tu="navigator.state",nu="navigator.no-results",iu="navigator.no-children",au="navigator.error-fetching",su="navigator.items-found";var ru={name:"NavigatorCard",constants:{STORAGE_KEY:tu,ERROR_FETCHING:au,ITEMS_FOUND:su},components:{FilterInput:Jo,NavigatorCardItem:Zd,DynamicScroller:ud,DynamicScrollerItem:vd,BaseNavigatorCard:Ud,Reference:Va.Z,Badge:qi.Z},props:{technologyPath:{type:String,default:""},children:{type:Array,required:!0},technology:{type:String,required:!1},activePath:{type:Array,required:!0},type:{type:String,required:!0},scrollLockID:{type:String,default:""},errorFetching:{type:Boolean,default:!1},apiChanges:{type:Object,default:null},isTechnologyBeta:{type:Boolean,default:!1},navigatorReferences:{type:Object,default:()=>{}},renderFilterOnTop:{type:Boolean,default:!1},hideAvailableTags:{type:Boolean,default:!1}},mixins:[Oo,Jd,eu],data(){return{filter:"",debouncedFilter:"",selectedTags:[],openNodes:Object.freeze({}),nodesToRender:Object.freeze([]),activeUID:null,lastFocusTarget:null,allNodesToggled:!1,INDEX_ROOT_KEY:kl}},computed:{isTechnologyRoute:({technologyPath:e,$route:t})=>e.toLowerCase()===t.path.toLowerCase(),politeAriaLive(){const{hasNodes:e,navigatorItems:t}=this;return e?this.$tc(su,t.length,{number:t.length}):""},assertiveAriaLive:({hasNodes:e,hasFilter:t,errorFetching:n})=>e?"":t?nu:n?au:iu,filterPattern:({debouncedFilter:e})=>e?new RegExp(kd(e),"i"):null,itemSize:()=>Cl,childrenMap({children:e}){return Il(e)},activePathChildren({activeUID:e,childrenMap:t}){return e&&t[e]?Ll(e,t):[]},activePathMap:({activePathChildren:e})=>Object.fromEntries(e.map((({uid:e})=>[e,!0]))),activeIndex:({activeUID:e,navigatorItems:t})=>t.findIndex((t=>t.uid===e)),renderableChildNodesMap({hasFilter:e,childrenMap:t,deprecatedHidden:n,filteredChildren:i,removeDeprecated:a}){if(!e)return t;const s=i.length-1,r=new Set([]);for(let o=s;o>=0;o-=1){const e=i[o],s=t[e.groupMarkerUID];if(s&&r.add(s),r.has(e))continue;if(r.has(t[e.parent])&&e.type!==we.t.groupMarker){r.add(e);continue}let l=[];e.childUIDs.length&&(l=a(Dl(e.uid,t),n)),l.concat(Ll(e.uid,t)).forEach((e=>r.add(e)))}return Il([...r])},nodeChangeDeps:({filteredChildren:e,activePathChildren:t,debouncedFilter:n,selectedTags:i})=>[e,t,n,i],hasFilter({debouncedFilter:e,selectedTags:t,apiChanges:n}){return Boolean(e.length||t.length||n)},deprecatedHidden:({selectedTags:e})=>e[0]===Xd.hideDeprecated,apiChangesObject(){return this.apiChanges||{}},hasNodes:({navigatorItems:e})=>!!e.length,totalItemsToNavigate:({navigatorItems:e})=>e.length,lastActivePathItem:({activePath:e})=>(0,N.Z$)(e)},created(){this.restorePersistedState()},watch:{filter:"debounceInput",nodeChangeDeps:"trackOpenNodes",activePath:"handleActivePathChange",apiChanges(e){e||(this.selectedTags=this.selectedTags.filter((e=>!Object.values(Gd).includes(e))))},async activeUID(e,t){await this.$nextTick();const n=this.$refs[`dynamicScroller_${t}`];n&&n.updateSize&&n.updateSize()}},methods:{setUnlessEqual(e,t){(0,N.Xy)(t,this[e])||(this[e]=Object.freeze(t))},toggleAllNodes(){const e=this.children.filter((e=>e.parent===kl&&e.type!==we.t.groupMarker&&e.childUIDs.length));this.allNodesToggled=!this.allNodesToggled,this.allNodesToggled&&(this.openNodes={},this.generateNodesToRender()),e.forEach((e=>{this.toggleFullTree(e)}))},clearFilters(){this.filter="",this.debouncedFilter="",this.selectedTags=[]},scrollToFocus(){this.$refs.scroller.scrollToItem(this.focusedIndex)},debounceInput:vo((function(e){this.debouncedFilter=e,this.lastFocusTarget=null}),200),trackOpenNodes([e,t,n,i],[,a=[],s="",r=[]]=[]){if(n!==s&&!s&&this.getFromStorage("filter")||!(0,N.Xy)(i,r)&&!r.length&&this.getFromStorage("selectedTags",[]).length)return;const o=!(0,N.Xy)(a,t),{childrenMap:l}=this;let c=t;if(!(this.deprecatedHidden&&!this.debouncedFilter.length||o&&this.hasFilter)&&this.hasFilter){const t=new Set,n=e.length-1;for(let i=n;i>=0;i-=1){const n=e[i];t.has(l[n.parent])||t.has(n)||Ll(n.uid,l).slice(0,-1).forEach((e=>t.add(e)))}c=[...t]}const 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e.$emit("close")}},scopedSlots:e._u([{key:"body",fn:function({className:n}){return[t("transition",{attrs:{name:"delay-visibility"}},[t("div",{staticClass:"loading-navigator",class:n,attrs:{"aria-hidden":"true"}},e._l(e.LOADER_ROWS,(function(e,n){return t("LoadingNavigatorItem",{key:n,attrs:{index:n,width:e.width,hideNavigatorIcon:e.hideNavigatorIcon}})})),1)])]}}])},"BaseNavigatorCard",e.$props,!1))},uu=[],hu=function(){var e=this,t=e._self._c;return t("BaseNavigatorCardItem",{staticClass:"loading-navigator-item",style:`--index: ${e.index};`,attrs:{hideNavigatorIcon:e.hideNavigatorIcon},scopedSlots:e._u([{key:"navigator-icon",fn:function({className:e}){return[t("div",{class:e})]}},{key:"title-container",fn:function(){return[t("div",{staticClass:"loader",style:{width:e.width}})]},proxy:!0}])})},pu=[],gu={name:"LoadingNavigatorItem",components:{BaseNavigatorCardItem:Ad},props:{...Ad.props,index:{type:Number,default:0},width:{type:String,default:"50%"}}},fu=gu,mu=(0,j.Z)(fu,hu,pu,!1,null,"0de29914",null),yu=mu.exports;const vu=[{width:"30%",hideNavigatorIcon:!0},{width:"80%"},{width:"50%"}];var bu,Tu,_u={name:"LoadingNavigatorCard",components:{BaseNavigatorCard:Ud,LoadingNavigatorItem:yu},data(){return{LOADER_ROWS:vu}}},Su=_u,ku=(0,j.Z)(Su,du,uu,!1,null,"3b7cf3a4",null),Cu=ku.exports,wu={name:"Navigator",components:{NavigatorCard:cu,LoadingNavigatorCard:Cu},data(){return{INDEX_ROOT_KEY:kl}},props:{flatChildren:{type:Array,required:!0},parentTopicIdentifiers:{type:Array,required:!0},technology:{type:Object,required:!1},isFetching:{type:Boolean,default:!1},references:{type:Object,default:()=>{}},navigatorReferences:{type:Object,default:()=>{}},scrollLockID:{type:String,default:""},errorFetching:{type:Boolean,default:!1},renderFilterOnTop:{type:Boolean,default:!1},apiChanges:{type:Object,default:null}},computed:{parentTopicReferences({references:e,parentTopicIdentifiers:t}){return t.reduce(((t,n)=>{const i=e[n];return i?t.concat(i):(console.error(`Reference for "${n}" is missing`),t)}),[])},activePath({parentTopicReferences:e,$route:{path:t}}){if(t=t.replace(/\/$/,"").toLowerCase(),!e.length)return[t];let n=1;return"technologies"===e[0].kind&&(n=2),e.slice(n).map((e=>e.url)).concat(t)},type:()=>we.t.module,technologyProps:({technology:e})=>e?{technology:e.title,technologyPath:e.path||e.url,isTechnologyBeta:e.beta}:null}},xu=wu,Iu=(0,j.Z)(xu,lc,cc,!1,null,"7c66a058",null),$u=Iu.exports,Du=n(5184),Pu={name:"NavigatorDataProvider",props:{interfaceLanguage:{type:String,default:D.Z.swift.key.url},technologyUrl:{type:String,default:""},apiChangesVersion:{type:String,default:""}},data(){return{isFetching:!1,errorFetching:!1,isFetchingAPIChanges:!1,navigationIndex:{[D.Z.swift.key.url]:[]},navigationReferences:{},diffs:null}},computed:{flatChildren:({technologyWithChildren:e={}})=>$l(e.children||[],null,0,e.beta),technologyPath:({technologyUrl:e})=>{const t=/(\/documentation\/(?:[^/]+))\/?/.exec(e);return t?t[1]:""},technologyWithChildren({navigationIndex:e,interfaceLanguage:t,technologyPath:n}){let i=e[t]||[];i.length||(i=e[D.Z.swift.key.url]||[]);const a=i.find((e=>n.toLowerCase()===e.path.toLowerCase()));return a??i[0]}},methods:{async fetchIndexData(){try{this.isFetching=!0;const{includedArchiveIdentifiers:e=[],interfaceLanguages:t,references:n}=await(0,x.LR)({slug:this.$route.params.locale||""});this.navigationIndex=Object.freeze(t),this.navigationReferences=Object.freeze(n),R["default"].setIncludedArchiveIdentifiers(e)}catch(bh){this.errorFetching=!0}finally{this.isFetching=!1}}},watch:{"$route.params.locale":{handler:"fetchIndexData",immediate:!0}},render(){return this.$scopedSlots.default({technology:this.technologyWithChildren,isFetching:this.isFetching,errorFetching:this.errorFetching,isFetchingAPIChanges:this.isFetchingAPIChanges,apiChanges:this.diffs,flatChildren:this.flatChildren,references:this.navigationReferences})}},Lu=Pu,Ou=(0,j.Z)(Lu,bu,Tu,!1,null,null,null),Au=Ou.exports,Nu=function(){var e=this,t=e._self._c;return t("NavBase",{staticClass:"documentation-nav",attrs:{breakpoint:e.BreakpointName.medium,hasOverlay:!1,hasNoBorder:e.hasNoBorder,isDark:e.isDark,isWideFormat:"",hasFullWidthBorder:"","aria-label":e.$t("api-reference"),showActions:e.hasMenuItems},scopedSlots:e._u([e.displaySidenav?{key:"pre-title",fn:function({closeNav:n,isOpen:i,currentBreakpoint:a,className:s}){return[t("div",{class:s},[t("div",{staticClass:"sidenav-toggle-wrapper"},[t("button",{staticClass:"sidenav-toggle",attrs:{"aria-label":e.$t("navigator.open-navigator"),id:e.baseNavOpenSidenavButtonId,tabindex:i?-1:null},on:{click:function(t){return 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t("li",{key:n.api,staticClass:"language-list-item"},[n.api===e.languageModel?t("span",{staticClass:"current-language",attrs:{"data-language":n.api,"aria-current":"page"}},[e._v(" "+e._s(n.name)+" ")]):t("a",{staticClass:"nav-menu-link",attrs:{href:"#"},on:{click:function(t){return t.preventDefault(),e.pushRoute(n.route)}}},[e._v(" "+e._s(n.name)+" ")])])})),0)]):e._e()])},Fu=[],Hu=n(5151),Vu={name:"LanguageToggle",components:{InlineChevronDownIcon:Hu.Z,NavMenuItemBase:Dr.Z},inject:{store:{default(){return{setPreferredLanguage(){}}}}},props:{interfaceLanguage:{type:String,required:!0},objcPath:{type:String,required:!1},swiftPath:{type:String,required:!1},closeNav:{type:Function,default:()=>{}}},data(){return{languageModel:null,adjustedWidth:0}},mounted(){const e=Be((async()=>{await(0,Ee.J)(3),this.calculateSelectWidth()}),150);window.addEventListener("resize",e),window.addEventListener("orientationchange",e),this.$once("hook:beforeDestroy",(()=>{window.removeEventListener("resize",e),window.removeEventListener("orientationchange",e)}))},watch:{interfaceLanguage:{immediate:!0,handler(e){this.languageModel=e}},currentLanguage:{immediate:!0,handler:"calculateSelectWidth"}},methods:{getRoute(e){const t=e.query===D.Z.swift.key.url?void 0:e.query;return{query:{...this.$route.query,language:t},path:this.isCurrentPath(e.path)?null:(0,A.Jf)(e.path)}},async pushRoute(e){await this.closeNav(),this.store.setPreferredLanguage(e.query),this.$router.push(this.getRoute(e))},isCurrentPath(e){return this.$route.path.replace(/^\//,"")===e},async calculateSelectWidth(){await this.$nextTick(),this.adjustedWidth=this.$refs["language-sizer"].clientWidth+8}},computed:{languages(){return[{name:D.Z.swift.name,api:D.Z.swift.key.api,route:{path:this.swiftPath,query:D.Z.swift.key.url}},{name:D.Z.objectiveC.name,api:D.Z.objectiveC.key.api,route:{path:this.objcPath,query:D.Z.objectiveC.key.url}}]},currentLanguage:({languages:e,languageModel:t})=>e.find((e=>e.api===t)),hasLanguages:({objcPath:e,swiftPath:t})=>t&&e}},Wu=Vu,Uu=(0,j.Z)(Wu,ju,Fu,!1,null,"4323807e",null),Qu=Uu.exports,Gu={name:"DocumentationNav",components:{SidenavIcon:qu,NavBase:Bu.Z,NavMenuItems:rr.Z,LanguageToggle:Qu},props:{isDark:{type:Boolean,default:!1},hasNoBorder:{type:Boolean,default:!1},interfaceLanguage:{type:String,required:!1},objcPath:{type:String,required:!1},swiftPath:{type:String,required:!1},displaySidenav:{type:Boolean,default:!1}},computed:{baseNavOpenSidenavButtonId:()=>Ul.Yj,BreakpointName:()=>or.L3,hasLanguageToggle:({interfaceLanguage:e,swiftPath:t,objcPath:n})=>!(!e||!t&&!n),hasMenuItems:({hasLanguageToggle:e,$slots:t})=>!(!e&&!t["menu-items"])},methods:{async 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