From d574182374eddf493e6d2762103298027408d24e Mon Sep 17 00:00:00 2001 From: Ilya Laktyushin Date: Mon, 27 Apr 2026 18:45:30 +0200 Subject: [PATCH] Markdown improvements --- Telegram/BUILD | 1 - .../BrowserUI/Sources/BrowserMarkdown.swift | 1163 +- .../Sources/BrowserReadability.swift | 8 + submodules/Display/Source/Font.swift | 4 +- submodules/InstantPageUI/BUILD | 1 + .../Sources/InstantPageFormulaItem.swift | 185 + .../Sources/InstantPageLayout.swift | 31 + .../Sources/InstantPageLayoutSpacings.swift | 18 + .../Sources/InstantPageMath.swift | 79 + .../Sources/InstantPageTextItem.swift | 272 +- .../Sources/InstantPageTextStyleStack.swift | 1 + submodules/LegacyComponents/Sources/TGFont.mm | 10 +- .../Models/InstantPageBlock.fbs | 7 +- .../FlatSerialization/Models/RichText.fbs | 9 +- .../SyncCore/SyncCore_InstantPage.swift | 24 + .../Sources/SyncCore/SyncCore_RichText.swift | 26 + .../Fonts/SFCompactRounded-Semibold.otf | Bin 193812 -> 0 bytes .../Resources/Fonts/latinmodern-math.otf | Bin 0 -> 733736 bytes .../Resources/Fonts/latinmodern-math.plist | Bin 0 -> 65067 bytes third-party/SwiftMath/BUILD | 18 + third-party/SwiftMath/LICENSE | 21 + third-party/SwiftMath/README.md | 714 ++ .../MathBundle/MTFontMathTableV2.swift | 194 + .../Sources/MathBundle/MTFontV2.swift | 68 + .../Sources/MathBundle/MathFont.swift | 225 + .../Sources/MathBundle/MathImage.swift | 123 + .../Sources/MathRender/MTBezierPath.swift | 35 + .../Sources/MathRender/MTColor.swift | 28 + .../Sources/MathRender/MTConfig.swift | 40 + .../SwiftMath/Sources/MathRender/MTFont.swift | 81 + .../Sources/MathRender/MTFontManager.swift | 93 + .../Sources/MathRender/MTFontMathTable.swift | 355 + .../Sources/MathRender/MTLabel.swift | 37 + .../MathRender/MTMathAtomFactory.swift | 1141 ++ .../Sources/MathRender/MTMathImage.swift | 117 + .../Sources/MathRender/MTMathList.swift | 1058 ++ .../MathRender/MTMathListBuilder.swift | 1613 +++ .../MathRender/MTMathListDisplay.swift | 881 ++ .../Sources/MathRender/MTMathListIndex.swift | 197 + .../Sources/MathRender/MTMathRenderer.swift | 83 + .../Sources/MathRender/MTMathUILabel.swift | 587 ++ .../MTTypesetter+Tokenization.swift | 68 + .../Sources/MathRender/MTTypesetter.swift | 1927 ++++ .../Sources/MathRender/MTUnicode.swift | 89 + .../SwiftMath/Sources/MathRender/RWLock.swift | 58 + .../Tokenization/MTAtomTokenizer.swift | 1145 ++ .../Tokenization/MTBreakableElement.swift | 115 + .../Tokenization/MTDisplayGenerator.swift | 389 + .../Tokenization/MTDisplayPreRenderer.swift | 88 + .../MTElementWidthCalculator.swift | 165 + .../Tokenization/MTLineFitter.swift | 266 + .../Sources/mathFonts.bundle/Asana-Math.otf | Bin 0 -> 433528 bytes .../Sources/mathFonts.bundle/Asana-Math.plist | 4343 ++++++++ .../Sources/mathFonts.bundle/Euler-Math.otf | Bin 0 -> 428792 bytes .../Sources/mathFonts.bundle/Euler-Math.plist | 2165 ++++ .../mathFonts.bundle/FiraMath-Regular.otf | Bin 0 -> 179840 bytes .../mathFonts.bundle/FiraMath-Regular.plist | 3064 ++++++ .../mathFonts.bundle/GUST-FONT-LICENSE.txt | 30 + .../mathFonts.bundle/Garamond-Math.otf | Bin 0 -> 823988 bytes .../mathFonts.bundle/Garamond-Math.plist | 7910 ++++++++++++++ .../Sources/mathFonts.bundle/KpMath-Light.otf | Bin 0 -> 451008 bytes .../mathFonts.bundle/KpMath-Light.plist | 6501 ++++++++++++ .../Sources/mathFonts.bundle/KpMath-Sans.otf | Bin 0 -> 293084 bytes .../mathFonts.bundle/KpMath-Sans.plist | 4539 ++++++++ .../Sources/mathFonts.bundle/LICENSE | 21 + .../Sources/mathFonts.bundle/LeteSansMath.otf | Bin 0 -> 440268 bytes .../mathFonts.bundle/LeteSansMath.plist | 5393 ++++++++++ .../LibertinusMath-Regular.otf | Bin 0 -> 588848 bytes .../LibertinusMath-Regular.plist | 4276 ++++++++ .../mathFonts.bundle/NotoSansMath-Regular.otf | Bin 0 -> 498408 bytes .../NotoSansMath-Regular.plist | 9356 +++++++++++++++++ .../Sources/mathFonts.bundle/OFL.txt | 103 + .../mathFonts.bundle/latinmodern-math.otf | Bin 0 -> 733736 bytes .../mathFonts.bundle/latinmodern-math.plist | Bin 0 -> 65067 bytes .../mathFonts.bundle/math_table_to_plist.py | 205 + .../mathFonts.bundle/texgyretermes-math.otf | Bin 0 -> 532404 bytes .../mathFonts.bundle/texgyretermes-math.plist | Bin 0 -> 58011 bytes .../Sources/mathFonts.bundle/xits-math.otf | Bin 0 -> 538696 bytes .../Sources/mathFonts.bundle/xits-math.plist | 6599 ++++++++++++ 79 files changed, 68205 insertions(+), 158 deletions(-) create mode 100644 submodules/InstantPageUI/Sources/InstantPageFormulaItem.swift create mode 100644 submodules/InstantPageUI/Sources/InstantPageMath.swift delete mode 100644 submodules/TelegramUI/Resources/Fonts/SFCompactRounded-Semibold.otf create mode 100755 submodules/TelegramUI/Resources/Fonts/latinmodern-math.otf create mode 100755 submodules/TelegramUI/Resources/Fonts/latinmodern-math.plist create mode 100644 third-party/SwiftMath/BUILD create mode 100755 third-party/SwiftMath/LICENSE create mode 100644 third-party/SwiftMath/README.md create mode 100755 third-party/SwiftMath/Sources/MathBundle/MTFontMathTableV2.swift create mode 100755 third-party/SwiftMath/Sources/MathBundle/MTFontV2.swift create mode 100644 third-party/SwiftMath/Sources/MathBundle/MathFont.swift create mode 100755 third-party/SwiftMath/Sources/MathBundle/MathImage.swift create mode 100755 third-party/SwiftMath/Sources/MathRender/MTBezierPath.swift create mode 100755 third-party/SwiftMath/Sources/MathRender/MTColor.swift create mode 100755 third-party/SwiftMath/Sources/MathRender/MTConfig.swift create mode 100644 third-party/SwiftMath/Sources/MathRender/MTFont.swift create mode 100755 third-party/SwiftMath/Sources/MathRender/MTFontManager.swift create mode 100755 third-party/SwiftMath/Sources/MathRender/MTFontMathTable.swift create mode 100755 third-party/SwiftMath/Sources/MathRender/MTLabel.swift create mode 100644 third-party/SwiftMath/Sources/MathRender/MTMathAtomFactory.swift create mode 100755 third-party/SwiftMath/Sources/MathRender/MTMathImage.swift create mode 100644 third-party/SwiftMath/Sources/MathRender/MTMathList.swift create mode 100644 third-party/SwiftMath/Sources/MathRender/MTMathListBuilder.swift create mode 100755 third-party/SwiftMath/Sources/MathRender/MTMathListDisplay.swift create mode 100755 third-party/SwiftMath/Sources/MathRender/MTMathListIndex.swift create mode 100644 third-party/SwiftMath/Sources/MathRender/MTMathRenderer.swift create mode 100644 third-party/SwiftMath/Sources/MathRender/MTMathUILabel.swift create mode 100644 third-party/SwiftMath/Sources/MathRender/MTTypesetter+Tokenization.swift create mode 100644 third-party/SwiftMath/Sources/MathRender/MTTypesetter.swift create mode 100755 third-party/SwiftMath/Sources/MathRender/MTUnicode.swift create mode 100644 third-party/SwiftMath/Sources/MathRender/RWLock.swift create mode 100644 third-party/SwiftMath/Sources/MathRender/Tokenization/MTAtomTokenizer.swift create mode 100644 third-party/SwiftMath/Sources/MathRender/Tokenization/MTBreakableElement.swift create mode 100644 third-party/SwiftMath/Sources/MathRender/Tokenization/MTDisplayGenerator.swift create mode 100644 third-party/SwiftMath/Sources/MathRender/Tokenization/MTDisplayPreRenderer.swift create mode 100644 third-party/SwiftMath/Sources/MathRender/Tokenization/MTElementWidthCalculator.swift create mode 100644 third-party/SwiftMath/Sources/MathRender/Tokenization/MTLineFitter.swift create mode 100755 third-party/SwiftMath/Sources/mathFonts.bundle/Asana-Math.otf create mode 100755 third-party/SwiftMath/Sources/mathFonts.bundle/Asana-Math.plist create mode 100755 third-party/SwiftMath/Sources/mathFonts.bundle/Euler-Math.otf create mode 100755 third-party/SwiftMath/Sources/mathFonts.bundle/Euler-Math.plist create mode 100755 third-party/SwiftMath/Sources/mathFonts.bundle/FiraMath-Regular.otf create mode 100755 third-party/SwiftMath/Sources/mathFonts.bundle/FiraMath-Regular.plist create mode 100755 third-party/SwiftMath/Sources/mathFonts.bundle/GUST-FONT-LICENSE.txt create mode 100755 third-party/SwiftMath/Sources/mathFonts.bundle/Garamond-Math.otf create mode 100755 third-party/SwiftMath/Sources/mathFonts.bundle/Garamond-Math.plist create mode 100755 third-party/SwiftMath/Sources/mathFonts.bundle/KpMath-Light.otf create mode 100755 third-party/SwiftMath/Sources/mathFonts.bundle/KpMath-Light.plist create mode 100755 third-party/SwiftMath/Sources/mathFonts.bundle/KpMath-Sans.otf create mode 100755 third-party/SwiftMath/Sources/mathFonts.bundle/KpMath-Sans.plist create mode 100755 third-party/SwiftMath/Sources/mathFonts.bundle/LICENSE create mode 100755 third-party/SwiftMath/Sources/mathFonts.bundle/LeteSansMath.otf create mode 100755 third-party/SwiftMath/Sources/mathFonts.bundle/LeteSansMath.plist create mode 100755 third-party/SwiftMath/Sources/mathFonts.bundle/LibertinusMath-Regular.otf create mode 100755 third-party/SwiftMath/Sources/mathFonts.bundle/LibertinusMath-Regular.plist create mode 100755 third-party/SwiftMath/Sources/mathFonts.bundle/NotoSansMath-Regular.otf create mode 100755 third-party/SwiftMath/Sources/mathFonts.bundle/NotoSansMath-Regular.plist create mode 100755 third-party/SwiftMath/Sources/mathFonts.bundle/OFL.txt create mode 100755 third-party/SwiftMath/Sources/mathFonts.bundle/latinmodern-math.otf create mode 100755 third-party/SwiftMath/Sources/mathFonts.bundle/latinmodern-math.plist create mode 100755 third-party/SwiftMath/Sources/mathFonts.bundle/math_table_to_plist.py create mode 100755 third-party/SwiftMath/Sources/mathFonts.bundle/texgyretermes-math.otf create mode 100755 third-party/SwiftMath/Sources/mathFonts.bundle/texgyretermes-math.plist create mode 100755 third-party/SwiftMath/Sources/mathFonts.bundle/xits-math.otf create mode 100755 third-party/SwiftMath/Sources/mathFonts.bundle/xits-math.plist diff --git a/Telegram/BUILD b/Telegram/BUILD index bdff4b5f74..22655f3a9b 100644 --- a/Telegram/BUILD +++ b/Telegram/BUILD @@ -1635,7 +1635,6 @@ plist_fragment( UIAppFonts - SFCompactRounded-Semibold.otf AremacFS-Regular.otf AremacFS-Semibold.otf diff --git a/submodules/BrowserUI/Sources/BrowserMarkdown.swift b/submodules/BrowserUI/Sources/BrowserMarkdown.swift index c6f23b1907..17dbb5dc35 100644 --- a/submodules/BrowserUI/Sources/BrowserMarkdown.swift +++ b/submodules/BrowserUI/Sources/BrowserMarkdown.swift @@ -22,14 +22,221 @@ private let markdownDefaultBlockImageDimensions = PixelDimensions(width: 1200, h private let markdownDefaultInlineImageDimensions = PixelDimensions(width: 18, height: 18) private let markdownTaskListUncheckedNumber = "\u{001f}tg-md-task:unchecked" private let markdownTaskListCheckedNumber = "\u{001f}tg-md-task:checked" +private let markdownRawHTMLTagRegex = try! NSRegularExpression(pattern: #"]*?>"#) +private let markdownFormulaPlaceholderRegex = try! NSRegularExpression(pattern: #"TGMDMATH\d+TGMD"#) +private let markdownVoidHTMLTags: Set = [ + "area", + "base", + "br", + "col", + "embed", + "hr", + "img", + "input", + "link", + "meta", + "param", + "source", + "track", + "wbr" +] + +private struct MarkdownSafetyLimits { + let maxFileSize = 2_097_152 + let maxLineLength = 32_768 + let maxBlockquoteDepth = 64 + let maxListIndent = 96 + let maxRawHTMLTagCount = 8_000 + let maxRawHTMLNestingDepth = 64 + let maxAttributedStringLength = 400_000 + let maxAttributeRuns = 20_000 + let maxPresentationIntentDepth = 128 + let maxIntentNodes = 10_000 + let maxEmittedBlocks = 5_000 + let maxTableColumns = 32 + let maxTableCells = 2_000 + let maxMediaItems = 100 + let maxInlineHTMLStyleDepth = 32 + let maxDataImageBytes = 2_097_152 + let maxDataImagePixelCount = 12_000_000 + let maxFormulas = 200 + let maxFormulaSourceCharacters = 20_000 + let maxInlineFormulaLength = 256 + let maxBlockFormulaLength = 4_096 +} + +private let markdownSafetyLimits = MarkdownSafetyLimits() + +private final class MarkdownConversionBudget { + let limits: MarkdownSafetyLimits + + private(set) var isExceeded = false + + private var attributeRunCount = 0 + private var intentNodeCount = 0 + private var tableCellCount = 0 + private var mediaItemCount = 0 + + init(limits: MarkdownSafetyLimits) { + self.limits = limits + } + + @discardableResult + func fail() -> Bool { + self.isExceeded = true + return false + } + + @discardableResult + func registerAttributedStringLength(_ length: Int) -> Bool { + guard length <= self.limits.maxAttributedStringLength else { + return self.fail() + } + return true + } + + @discardableResult + func registerAttributeRun() -> Bool { + self.attributeRunCount += 1 + guard self.attributeRunCount <= self.limits.maxAttributeRuns else { + return self.fail() + } + return true + } + + @discardableResult + func registerPresentationIntentDepth(_ depth: Int) -> Bool { + guard depth <= self.limits.maxPresentationIntentDepth else { + return self.fail() + } + return true + } + + @discardableResult + func registerIntentNode() -> Bool { + self.intentNodeCount += 1 + guard self.intentNodeCount <= self.limits.maxIntentNodes else { + return self.fail() + } + return true + } + + @discardableResult + func registerBlockDepth(_ depth: Int) -> Bool { + guard depth <= self.limits.maxPresentationIntentDepth else { + return self.fail() + } + return true + } + + @discardableResult + func registerTableColumns(_ count: Int) -> Bool { + guard count <= self.limits.maxTableColumns else { + return self.fail() + } + return true + } + + @discardableResult + func registerTableCells(_ count: Int) -> Bool { + self.tableCellCount += count + guard self.tableCellCount <= self.limits.maxTableCells else { + return self.fail() + } + return true + } + + @discardableResult + func registerMediaItem() -> Bool { + self.mediaItemCount += 1 + guard self.mediaItemCount <= self.limits.maxMediaItems else { + return self.fail() + } + return true + } + + @discardableResult + func registerInlineHTMLStyleDepth(_ depth: Int) -> Bool { + guard depth <= self.limits.maxInlineHTMLStyleDepth else { + return self.fail() + } + return true + } + + @discardableResult + func validateFinalBlocks(_ blocks: [InstantPageBlock]) -> Bool { + var count = 0 + return self.validate(blocks: blocks, depth: 0, count: &count) + } + + private func validate(blocks: [InstantPageBlock], depth: Int, count: inout Int) -> Bool { + guard self.registerBlockDepth(depth) else { + return false + } + for block in blocks { + count += 1 + guard count <= self.limits.maxEmittedBlocks else { + return self.fail() + } + switch block { + case let .list(items, _): + for item in items { + if !self.validate(listItem: item, depth: depth + 1, count: &count) { + return false + } + } + case let .details(_, nestedBlocks, _): + if !self.validate(blocks: nestedBlocks, depth: depth + 1, count: &count) { + return false + } + default: + break + } + } + return true + } + + private func validate(listItem: InstantPageListItem, depth: Int, count: inout Int) -> Bool { + guard self.registerBlockDepth(depth) else { + return false + } + if case let .blocks(blocks, _) = listItem { + return self.validate(blocks: blocks, depth: depth + 1, count: &count) + } else { + return true + } + } +} private struct MarkdownPageResult { let blocks: [InstantPageBlock] let media: [MediaId: Media] } +private enum MarkdownFormulaMode { + case inline + case block +} + +private struct MarkdownFormulaDescriptor { + let placeholder: String + let latex: String + let mode: MarkdownFormulaMode +} + +private struct MarkdownPreparedSource { + let text: String + let formulasByPlaceholder: [String: MarkdownFormulaDescriptor] +} + +private enum MarkdownInlineTextSegment { + case plain(String) + case formula(MarkdownFormulaDescriptor) +} + private enum MarkdownInlineFragment { case richText(RichText) + case formula(MarkdownFormulaDescriptor, RichText) case image(MarkdownResolvedImage) } @@ -44,6 +251,8 @@ private struct MarkdownInlineContent { switch fragment { case let .richText(text): result.append(text) + case let .formula(_, text): + result.append(text) case let .image(image): var text: RichText = .image(id: image.mediaId, dimensions: image.inlineDimensions) if let linkUrl = image.linkUrl { @@ -55,6 +264,31 @@ private struct MarkdownInlineContent { return markdownCompact(result) } + + var standaloneBlockFormula: MarkdownFormulaDescriptor? { + var result: MarkdownFormulaDescriptor? + + for fragment in self.fragments { + switch fragment { + case let .richText(text): + if !markdownIsWhitespaceOnly(text) { + return nil + } + case let .formula(descriptor, _): + guard descriptor.mode == .block else { + return nil + } + if result != nil { + return nil + } + result = descriptor + case .image: + return nil + } + } + + return result + } var standaloneImage: MarkdownResolvedImage? { var result: MarkdownResolvedImage? @@ -65,6 +299,8 @@ private struct MarkdownInlineContent { if !markdownIsWhitespaceOnly(text) { return nil } + case .formula: + return nil case let .image(image): if result != nil { return nil @@ -98,20 +334,24 @@ private enum MarkdownTaskListState { private final class MarkdownConversionContext { private let context: AccountContext fileprivate let documentURL: URL + fileprivate let formulasByPlaceholder: [String: MarkdownFormulaDescriptor] + fileprivate let budget: MarkdownConversionBudget private var nextRemoteMediaId: Int64 = 0 private var nextLocalMediaId: Int64 = 0 - + private(set) var media: [MediaId: Media] = [:] - - init(context: AccountContext, documentURL: URL) { + + init(context: AccountContext, documentURL: URL, formulasByPlaceholder: [String: MarkdownFormulaDescriptor], budget: MarkdownConversionBudget) { self.context = context self.documentURL = documentURL + self.formulasByPlaceholder = formulasByPlaceholder + self.budget = budget } - + func makePageResult(blocks: [InstantPageBlock]) -> MarkdownPageResult { return MarkdownPageResult(blocks: blocks, media: self.media) } - + func resolveImage(attributes: [NSAttributedString.Key: Any]) -> MarkdownResolvedImage? { guard let imageUrl = markdownImageURL(attributes: attributes) else { return nil @@ -121,8 +361,11 @@ private final class MarkdownConversionContext { let caption = markdownImageCaption(markdownAlternateDescription(attributes: attributes)) let linkUrl = markdownLink(attributes: attributes, documentURL: self.documentURL) - switch markdownResolveImageSource(imageUrl) { + switch markdownResolveImageSource(imageUrl, limits: self.budget.limits) { case let .remote(url): + guard self.budget.registerMediaItem() else { + return nil + } let mediaId = self.nextMediaId(namespace: Namespaces.Media.CloudImage) self.media[mediaId] = TelegramMediaImage( imageId: mediaId, @@ -146,6 +389,9 @@ private final class MarkdownConversionContext { linkUrl: linkUrl ) case let .data(data, dimensions): + guard self.budget.registerMediaItem() else { + return nil + } let resource = LocalFileMediaResource(fileId: Int64.random(in: Int64.min ... Int64.max), size: Int64(data.count), isSecretRelated: false) self.context.engine.resources.storeResourceData(id: EngineMediaResource.Id(resource.id), data: data) @@ -188,6 +434,535 @@ private final class MarkdownConversionContext { } } +private func markdownPassesPreflight(data: Data, limits: MarkdownSafetyLimits) -> Bool { + guard data.count <= limits.maxFileSize else { + return false + } + guard let text = markdownDecodedSourceText(data) else { + return false + } + return markdownPassesPreflight(text: text, limits: limits) +} + +private func markdownDecodedSourceText(_ data: Data) -> String? { + if let text = String(data: data, encoding: .utf8) { + return text + } + if data.starts(with: [0xff, 0xfe]) { + return String(data: data, encoding: .utf16LittleEndian) + } + if data.starts(with: [0xfe, 0xff]) { + return String(data: data, encoding: .utf16BigEndian) + } + return nil +} + +private func markdownPassesPreflight(text: String, limits: MarkdownSafetyLimits) -> Bool { + var activeFence: Character? + var htmlTagCount = 0 + var htmlDepth = 0 + + for rawLine in text.split(separator: "\n", omittingEmptySubsequences: false) { + var line = String(rawLine) + if line.hasSuffix("\r") { + line.removeLast() + } + + if (line as NSString).length > limits.maxLineLength { + return false + } + + if let fenceMarker = markdownFenceMarker(in: line) { + if activeFence == fenceMarker { + activeFence = nil + } else { + activeFence = fenceMarker + } + continue + } + + if activeFence != nil { + continue + } + + if markdownBlockquoteDepth(in: line) > limits.maxBlockquoteDepth { + return false + } + if markdownIndentWidth(in: line) > limits.maxListIndent { + return false + } + if !markdownScanRawHTMLTags(in: line, limits: limits, tagCount: &htmlTagCount, depth: &htmlDepth) { + return false + } + } + + return true +} + +private func markdownFenceMarker(in line: String) -> Character? { + let trimmed = line.drop(while: { $0 == " " || $0 == "\t" }) + guard let marker = trimmed.first, marker == "`" || marker == "~" else { + return nil + } + var count = 0 + var index = trimmed.startIndex + while index < trimmed.endIndex, trimmed[index] == marker { + count += 1 + index = trimmed.index(after: index) + } + return count >= 3 ? marker : nil +} + +private func markdownBlockquoteDepth(in line: String) -> Int { + var depth = 0 + var index = line.startIndex + + while index < line.endIndex { + switch line[index] { + case " ", "\t": + index = line.index(after: index) + case ">": + depth += 1 + index = line.index(after: index) + if index < line.endIndex, (line[index] == " " || line[index] == "\t") { + index = line.index(after: index) + } + default: + return depth + } + } + + return depth +} + +private func markdownIndentWidth(in line: String) -> Int { + var width = 0 + for character in line { + switch character { + case " ": + width += 1 + case "\t": + width += 4 + default: + return width + } + } + return width +} + +private func markdownScanRawHTMLTags(in line: String, limits: MarkdownSafetyLimits, tagCount: inout Int, depth: inout Int) -> Bool { + let nsLine = line as NSString + let matches = markdownRawHTMLTagRegex.matches(in: line, range: NSRange(location: 0, length: nsLine.length)) + + for match in matches { + tagCount += 1 + guard tagCount <= limits.maxRawHTMLTagCount else { + return false + } + + let tagText = nsLine.substring(with: match.range) + let tagName = nsLine.substring(with: match.range(at: 1)).lowercased() + let lowercasedTag = tagText.lowercased() + + if lowercasedTag.hasPrefix("") && !markdownVoidHTMLTags.contains(tagName) { + depth += 1 + guard depth <= limits.maxRawHTMLNestingDepth else { + return false + } + } + } + + return true +} + +private func markdownPreparedSource(text: String, limits: MarkdownSafetyLimits) -> MarkdownPreparedSource { + let lines = markdownLinesPreservingEndings(text) + + var activeFence: Character? + var formulasByPlaceholder: [String: MarkdownFormulaDescriptor] = [:] + var acceptedFormulaCount = 0 + var totalFormulaCharacters = 0 + var nextPlaceholderIndex = 0 + var result = "" + + var lineIndex = 0 + while lineIndex < lines.count { + let line = lines[lineIndex] + let (content, _) = markdownLineContentAndEnding(line) + + if let fenceMarker = markdownFenceMarker(in: content) { + if activeFence == fenceMarker { + activeFence = nil + } else { + activeFence = fenceMarker + } + result.append(contentsOf: line) + lineIndex += 1 + continue + } + + if activeFence != nil { + result.append(contentsOf: line) + lineIndex += 1 + continue + } + + if let replacement = markdownBlockFormulaReplacement( + in: lines, + startLineIndex: lineIndex, + limits: limits, + acceptedFormulaCount: &acceptedFormulaCount, + totalFormulaCharacters: &totalFormulaCharacters, + nextPlaceholderIndex: &nextPlaceholderIndex + ) { + result.append(contentsOf: replacement.replacement) + formulasByPlaceholder[replacement.descriptor.placeholder] = replacement.descriptor + lineIndex = replacement.nextLineIndex + continue + } + + let processedLine = markdownReplacingInlineFormulas( + in: line, + limits: limits, + acceptedFormulaCount: &acceptedFormulaCount, + totalFormulaCharacters: &totalFormulaCharacters, + nextPlaceholderIndex: &nextPlaceholderIndex, + formulasByPlaceholder: &formulasByPlaceholder + ) + result.append(contentsOf: processedLine) + lineIndex += 1 + } + + return MarkdownPreparedSource(text: result, formulasByPlaceholder: formulasByPlaceholder) +} + +private func markdownLinesPreservingEndings(_ text: String) -> [String] { + guard !text.isEmpty else { + return [] + } + + var result: [String] = [] + var lineStart = text.startIndex + var index = text.startIndex + + while index < text.endIndex { + if text[index] == "\n" { + let nextIndex = text.index(after: index) + result.append(String(text[lineStart ..< nextIndex])) + lineStart = nextIndex + } + index = text.index(after: index) + } + + if lineStart < text.endIndex { + result.append(String(text[lineStart...])) + } + + return result +} + +private func markdownLineContentAndEnding(_ line: String) -> (content: String, ending: String) { + if line.hasSuffix("\r\n") { + return (String(line.dropLast(2)), "\r\n") + } else if line.hasSuffix("\n") { + return (String(line.dropLast()), "\n") + } else { + return (line, "") + } +} + +private func markdownFormulaPlaceholder(_ index: Int) -> String { + return "TGMDMATH\(index)TGMD" +} + +private func markdownAcceptedFormulaDescriptor( + latex: String, + mode: MarkdownFormulaMode, + limits: MarkdownSafetyLimits, + acceptedFormulaCount: inout Int, + totalFormulaCharacters: inout Int, + nextPlaceholderIndex: inout Int +) -> MarkdownFormulaDescriptor? { + let normalizedLatex: String + switch mode { + case .inline: + normalizedLatex = latex + case .block: + normalizedLatex = latex.trimmingCharacters(in: .whitespacesAndNewlines) + } + + guard !normalizedLatex.trimmingCharacters(in: .whitespacesAndNewlines).isEmpty else { + return nil + } + + let latexLength = (normalizedLatex as NSString).length + let maxLength = mode == .inline ? limits.maxInlineFormulaLength : limits.maxBlockFormulaLength + guard latexLength <= maxLength else { + return nil + } + guard acceptedFormulaCount < limits.maxFormulas else { + return nil + } + guard totalFormulaCharacters + latexLength <= limits.maxFormulaSourceCharacters else { + return nil + } + + let placeholder = markdownFormulaPlaceholder(nextPlaceholderIndex) + nextPlaceholderIndex += 1 + acceptedFormulaCount += 1 + totalFormulaCharacters += latexLength + return MarkdownFormulaDescriptor(placeholder: placeholder, latex: normalizedLatex, mode: mode) +} + +private func markdownBlockFormulaReplacement( + in lines: [String], + startLineIndex: Int, + limits: MarkdownSafetyLimits, + acceptedFormulaCount: inout Int, + totalFormulaCharacters: inout Int, + nextPlaceholderIndex: inout Int +) -> (replacement: String, nextLineIndex: Int, descriptor: MarkdownFormulaDescriptor)? { + guard startLineIndex >= 0, startLineIndex < lines.count else { + return nil + } + + let (content, _) = markdownLineContentAndEnding(lines[startLineIndex]) + let indentation = String(content.prefix { $0 == " " || $0 == "\t" }) + let trimmedStart = content.drop(while: { $0 == " " || $0 == "\t" }) + + let opener: String + let closer: String + if trimmedStart.hasPrefix("$$") { + opener = "$$" + closer = "$$" + } else if trimmedStart.hasPrefix("\\[") { + opener = "\\[" + closer = "\\]" + } else { + return nil + } + + let openerContent = String(trimmedStart.dropFirst(opener.count)) + var latex = "" + + if let closeRange = markdownFirstUnescapedRange(of: closer, in: openerContent, from: openerContent.startIndex) { + let trailing = String(openerContent[closeRange.upperBound...]) + guard trailing.trimmingCharacters(in: .whitespacesAndNewlines).isEmpty else { + return nil + } + latex = String(openerContent[.. String { + let (content, ending) = markdownLineContentAndEnding(line) + guard !content.isEmpty else { + return line + } + + var result = "" + var index = content.startIndex + var activeCodeDelimiterLength: Int? + + while index < content.endIndex { + if content[index] == "`" { + let delimiterEnd = markdownIndex(afterRepeating: "`", in: content, from: index) + let delimiterLength = content.distance(from: index, to: delimiterEnd) + result.append(contentsOf: content[index ..< delimiterEnd]) + if activeCodeDelimiterLength == delimiterLength { + activeCodeDelimiterLength = nil + } else { + activeCodeDelimiterLength = delimiterLength + } + index = delimiterEnd + continue + } + + if activeCodeDelimiterLength != nil { + result.append(content[index]) + index = content.index(after: index) + continue + } + + if content[index] == "\\", !markdownIsEscaped(content, at: index), let nextIndex = markdownIndex(content, offsetBy: 1, from: index), nextIndex < content.endIndex, content[nextIndex] == "(" { + let bodyStart = content.index(after: nextIndex) + if let closeRange = markdownFirstUnescapedRange(of: "\\)", in: content, from: bodyStart) { + let latex = String(content[bodyStart ..< closeRange.lowerBound]) + if let descriptor = markdownAcceptedFormulaDescriptor( + latex: latex, + mode: .inline, + limits: limits, + acceptedFormulaCount: &acceptedFormulaCount, + totalFormulaCharacters: &totalFormulaCharacters, + nextPlaceholderIndex: &nextPlaceholderIndex + ) { + result.append(contentsOf: descriptor.placeholder) + formulasByPlaceholder[descriptor.placeholder] = descriptor + index = closeRange.upperBound + continue + } + } + } + + if content[index] == "$", !markdownIsEscaped(content, at: index) { + guard let bodyStart = markdownIndex(content, offsetBy: 1, from: index), bodyStart < content.endIndex else { + result.append(content[index]) + index = content.index(after: index) + continue + } + if content[bodyStart] == "$" || content[bodyStart].isWhitespace { + result.append(content[index]) + index = content.index(after: index) + continue + } + + var searchIndex = bodyStart + var matchedRange: Range? + while let closeRange = markdownFirstUnescapedRange(of: "$", in: content, from: searchIndex) { + let closerIndex = closeRange.lowerBound + let previousIndex = content.index(before: closerIndex) + if !content[previousIndex].isWhitespace { + matchedRange = closeRange + break + } + searchIndex = closeRange.upperBound + } + + if let matchedRange { + let latex = String(content[bodyStart ..< matchedRange.lowerBound]) + if let descriptor = markdownAcceptedFormulaDescriptor( + latex: latex, + mode: .inline, + limits: limits, + acceptedFormulaCount: &acceptedFormulaCount, + totalFormulaCharacters: &totalFormulaCharacters, + nextPlaceholderIndex: &nextPlaceholderIndex + ) { + result.append(contentsOf: descriptor.placeholder) + formulasByPlaceholder[descriptor.placeholder] = descriptor + index = matchedRange.upperBound + continue + } + } + } + + result.append(content[index]) + index = content.index(after: index) + } + + result.append(contentsOf: ending) + return result +} + +private func markdownFirstUnescapedRange(of pattern: String, in text: String, from startIndex: String.Index) -> Range? { + guard !pattern.isEmpty, startIndex <= text.endIndex else { + return nil + } + + var searchIndex = startIndex + while searchIndex < text.endIndex { + guard let range = text.range(of: pattern, range: searchIndex ..< text.endIndex) else { + return nil + } + if !markdownIsEscaped(text, at: range.lowerBound) { + return range + } + searchIndex = range.upperBound + } + return nil +} + +private func markdownIsEscaped(_ text: String, at index: String.Index) -> Bool { + guard index > text.startIndex else { + return false + } + + var slashCount = 0 + var currentIndex = text.index(before: index) + while true { + if text[currentIndex] == "\\" { + slashCount += 1 + } else { + break + } + guard currentIndex > text.startIndex else { + break + } + currentIndex = text.index(before: currentIndex) + } + + return slashCount % 2 == 1 +} + +private func markdownIndex(_ text: String, offsetBy distance: Int, from index: String.Index) -> String.Index? { + guard distance >= 0 else { + return nil + } + return text.index(index, offsetBy: distance, limitedBy: text.endIndex) +} + +private func markdownIndex(afterRepeating character: Character, in text: String, from startIndex: String.Index) -> String.Index { + var index = startIndex + while index < text.endIndex, text[index] == character { + index = text.index(after: index) + } + return index +} + func markdownWebpage(context: AccountContext, file: FileMediaReference) -> (webPage: TelegramMediaWebpage, fileURL: URL)? { guard #available(iOS 15.0, *) else { return nil @@ -207,10 +982,19 @@ func markdownWebpage(context: AccountContext, file: FileMediaReference) -> (webP @available(iOS 15.0, *) private func markdownWebpage(context: AccountContext, file: FileMediaReference, fileURL: URL, data: Data) -> TelegramMediaWebpage? { + let limits = markdownSafetyLimits + guard markdownPassesPreflight(data: data, limits: limits) else { + return nil + } + guard let sourceText = markdownDecodedSourceText(data) else { + return nil + } + let preparedSource = markdownPreparedSource(text: sourceText, limits: limits) + let attributedString: NSAttributedString do { attributedString = try NSAttributedString( - markdown: data, + markdown: Data(preparedSource.text.utf8), options: .init(), baseURL: fileURL.deletingLastPathComponent() ) @@ -218,10 +1002,13 @@ private func markdownWebpage(context: AccountContext, file: FileMediaReference, return nil } - let conversionContext = MarkdownConversionContext(context: context, documentURL: fileURL) - let pageResult = markdownPageResult(from: attributedString, context: conversionContext) + let budget = MarkdownConversionBudget(limits: limits) + let conversionContext = MarkdownConversionContext(context: context, documentURL: fileURL, formulasByPlaceholder: preparedSource.formulasByPlaceholder, budget: budget) + guard let pageResult = markdownPageResult(from: attributedString, context: conversionContext) else { + return nil + } let blocks = markdownBlocksWithGeneratedAnchors(pageResult.blocks) - guard !blocks.isEmpty else { + guard !blocks.isEmpty, budget.validateFinalBlocks(blocks) else { return nil } @@ -265,15 +1052,25 @@ private func markdownWebpage(context: AccountContext, file: FileMediaReference, } @available(iOS 15.0, *) -private func markdownPageResult(from attributedString: NSAttributedString, context: MarkdownConversionContext) -> MarkdownPageResult { +private func markdownPageResult(from attributedString: NSAttributedString, context: MarkdownConversionContext) -> MarkdownPageResult? { + guard context.budget.registerAttributedStringLength(attributedString.length) else { + return nil + } + var nodesByIdentity: [Int: MarkdownIntentNode] = [:] var rootNodes: [MarkdownIntentNode] = [] var rootIdentities: Set = [] - - attributedString.enumerateAttributes(in: NSRange(location: 0, length: attributedString.length), options: []) { attributes, range, _ in + var didAbort = false + + attributedString.enumerateAttributes(in: NSRange(location: 0, length: attributedString.length), options: []) { attributes, range, stop in guard range.length > 0 else { return } + guard context.budget.registerAttributeRun() else { + didAbort = true + stop.pointee = true + return + } guard let presentationIntent = attributes[markdownPresentationIntentAttribute] as? PresentationIntent else { return } @@ -281,13 +1078,23 @@ private func markdownPageResult(from attributedString: NSAttributedString, conte guard !components.isEmpty else { return } - + guard context.budget.registerPresentationIntentDepth(components.count) else { + didAbort = true + stop.pointee = true + return + } + var orderedNodes: [MarkdownIntentNode] = [] for component in components.reversed() { let node: MarkdownIntentNode if let current = nodesByIdentity[component.identity] { node = current } else { + guard context.budget.registerIntentNode() else { + didAbort = true + stop.pointee = true + return + } let created = MarkdownIntentNode(component: component) nodesByIdentity[component.identity] = created node = created @@ -308,37 +1115,69 @@ private func markdownPageResult(from attributedString: NSAttributedString, conte } } - return context.makePageResult(blocks: markdownBlocks(from: rootNodes, context: context)) + guard !didAbort, !context.budget.isExceeded else { + return nil + } + guard let blocks = markdownBlocks(from: rootNodes, context: context, depth: 0), !context.budget.isExceeded else { + return nil + } + return context.makePageResult(blocks: blocks) } -private func markdownBlocks(from nodes: [MarkdownIntentNode], context: MarkdownConversionContext) -> [InstantPageBlock] { +private func markdownBlocks(from nodes: [MarkdownIntentNode], context: MarkdownConversionContext, depth: Int) -> [InstantPageBlock]? { + guard context.budget.registerBlockDepth(depth), !context.budget.isExceeded else { + return nil + } + var result: [InstantPageBlock] = [] for node in nodes { - result.append(contentsOf: markdownBlocks(from: node, context: context)) + guard let blocks = markdownBlocks(from: node, context: context, depth: depth + 1) else { + return nil + } + result.append(contentsOf: blocks) + if context.budget.isExceeded { + return nil + } } return result } -private func markdownBlocks(from node: MarkdownIntentNode, context: MarkdownConversionContext) -> [InstantPageBlock] { +private func markdownBlocks(from node: MarkdownIntentNode, context: MarkdownConversionContext, depth: Int) -> [InstantPageBlock]? { + guard context.budget.registerBlockDepth(depth), !context.budget.isExceeded else { + return nil + } + switch node.kind { case let .table(alignments): - let rows = markdownTableRows(from: node.children, alignments: alignments, context: context) + guard let rows = markdownTableRows(from: node.children, alignments: alignments, context: context, depth: depth + 1) else { + return nil + } guard !rows.isEmpty else { return [] } return [.table(title: .empty, rows: rows, bordered: true, striped: false)] case let .header(level): - let text = markdownRichText(from: node.attributedText, context: context) + guard let text = markdownRichText(from: node.attributedText, context: context) else { + return nil + } guard markdownHasDisplayableContent(text) else { return [] } - if level <= 1 { + switch level { + case Int.min ... 1: + return [.title(text)] + case 2: return [.header(text)] - } else { + default: return [.heading(text: text, level: Int32(max(3, min(level, 6))))] } case .paragraph: - let inlineContent = markdownInlineContent(from: node.attributedText, context: context) + guard let inlineContent = markdownInlineContent(from: node.attributedText, context: context) else { + return nil + } + if let formula = inlineContent.standaloneBlockFormula { + return [.formula(latex: formula.latex)] + } if let image = inlineContent.standaloneImage { return [ .image( @@ -355,7 +1194,9 @@ private func markdownBlocks(from node: MarkdownIntentNode, context: MarkdownConv } return [.paragraph(text)] case let .codeBlock(languageHint): - let text = markdownRichText(from: markdownTrimTrailingCodeBlockNewline(node.attributedText), context: context) + guard let text = markdownRichText(from: markdownTrimTrailingCodeBlockNewline(node.attributedText), context: context) else { + return nil + } guard markdownHasDisplayableContent(text) else { return [] } @@ -365,12 +1206,15 @@ private func markdownBlocks(from node: MarkdownIntentNode, context: MarkdownConv case .blockQuote: var result: [InstantPageBlock] = [] for child in node.children { - for childBlock in markdownBlocks(from: child, context: context) { + guard let childBlocks = markdownBlocks(from: child, context: context, depth: depth + 1) else { + return nil + } + for childBlock in childBlocks { switch childBlock { case let .paragraph(text): result.append(.blockQuote(text: text, caption: .empty)) default: - let plainText = markdownPlainText(from: childBlock) + let plainText = markdownPlainText(from: childBlock, depth: depth + 1) if !plainText.isEmpty { result.append(.blockQuote(text: .plain(plainText), caption: .empty)) } @@ -379,29 +1223,39 @@ private func markdownBlocks(from node: MarkdownIntentNode, context: MarkdownConv } return result case .orderedList: - let items = markdownListItems(from: node.children, ordered: true, context: context) + guard let items = markdownListItems(from: node.children, ordered: true, context: context, depth: depth + 1) else { + return nil + } guard !items.isEmpty else { return [] } return [.list(items: items, ordered: true)] case .unorderedList: - let items = markdownListItems(from: node.children, ordered: false, context: context) + guard let items = markdownListItems(from: node.children, ordered: false, context: context, depth: depth + 1) else { + return nil + } guard !items.isEmpty else { return [] } return [.list(items: items, ordered: false)] case .listItem(_), .tableHeaderRow, .tableRow, .tableCell(_), .unknown: - return markdownBlocks(from: node.children, context: context) + return markdownBlocks(from: node.children, context: context, depth: depth + 1) } } -private func markdownListItems(from nodes: [MarkdownIntentNode], ordered: Bool, context: MarkdownConversionContext) -> [InstantPageListItem] { +private func markdownListItems(from nodes: [MarkdownIntentNode], ordered: Bool, context: MarkdownConversionContext, depth: Int) -> [InstantPageListItem]? { + guard context.budget.registerBlockDepth(depth), !context.budget.isExceeded else { + return nil + } + var result: [InstantPageListItem] = [] for node in nodes { guard case let .listItem(ordinal) = node.kind else { continue } - var blocks = markdownBlocks(from: node.children, context: context) + guard var blocks = markdownBlocks(from: node.children, context: context, depth: depth + 1) else { + return nil + } let taskListState = markdownApplyTaskListMarker(to: &blocks) let number: String? if let taskListState { @@ -476,17 +1330,25 @@ private func markdownTaskListMarker(in plainText: String) -> (MarkdownTaskListSt } } -private func markdownTableRows(from nodes: [MarkdownIntentNode], alignments: [TableHorizontalAlignment], context: MarkdownConversionContext) -> [InstantPageTableRow] { +private func markdownTableRows(from nodes: [MarkdownIntentNode], alignments: [TableHorizontalAlignment], context: MarkdownConversionContext, depth: Int) -> [InstantPageTableRow]? { + guard context.budget.registerBlockDepth(depth), !context.budget.isExceeded else { + return nil + } + var result: [InstantPageTableRow] = [] for node in nodes { switch node.kind { case .tableHeaderRow: - let cells = markdownTableCells(from: node.children, alignments: alignments, header: true, context: context) + guard let cells = markdownTableCells(from: node.children, alignments: alignments, header: true, context: context, depth: depth + 1) else { + return nil + } if !cells.isEmpty { result.append(InstantPageTableRow(cells: cells)) } case .tableRow: - let cells = markdownTableCells(from: node.children, alignments: alignments, header: false, context: context) + guard let cells = markdownTableCells(from: node.children, alignments: alignments, header: false, context: context, depth: depth + 1) else { + return nil + } if !cells.isEmpty { result.append(InstantPageTableRow(cells: cells)) } @@ -494,10 +1356,14 @@ private func markdownTableRows(from nodes: [MarkdownIntentNode], alignments: [Ta continue } } - return result + return context.budget.isExceeded ? nil : result } -private func markdownTableCells(from nodes: [MarkdownIntentNode], alignments: [TableHorizontalAlignment], header: Bool, context: MarkdownConversionContext) -> [InstantPageTableCell] { +private func markdownTableCells(from nodes: [MarkdownIntentNode], alignments: [TableHorizontalAlignment], header: Bool, context: MarkdownConversionContext, depth: Int) -> [InstantPageTableCell]? { + guard context.budget.registerBlockDepth(depth), !context.budget.isExceeded else { + return nil + } + let maxColumnIndex = nodes.reduce(-1) { partialResult, node in if case let .tableCell(column) = node.kind { return max(partialResult, column) @@ -509,7 +1375,10 @@ private func markdownTableCells(from nodes: [MarkdownIntentNode], alignments: [T guard columnCount > 0 else { return [] } - + guard context.budget.registerTableColumns(columnCount) else { + return nil + } + var result: [InstantPageTableCell] = [] var nextColumn = 0 @@ -517,13 +1386,15 @@ private func markdownTableCells(from nodes: [MarkdownIntentNode], alignments: [T guard case let .tableCell(column) = node.kind else { continue } - + while nextColumn < column { result.append(markdownEmptyTableCell(header: header, alignment: markdownTableAlignment(at: nextColumn, from: alignments))) nextColumn += 1 } - - let text = markdownRichText(from: node.attributedText, context: context) + + guard let text = markdownRichText(from: node.attributedText, context: context) else { + return nil + } result.append( InstantPageTableCell( text: text, @@ -542,6 +1413,9 @@ private func markdownTableCells(from nodes: [MarkdownIntentNode], alignments: [T nextColumn += 1 } + guard context.budget.registerTableCells(result.count) else { + return nil + } return result } @@ -563,29 +1437,35 @@ private func markdownTableAlignment(at index: Int, from alignments: [TableHorizo return alignments[index] } -private func markdownRichText(from attributedString: NSAttributedString, context: MarkdownConversionContext) -> RichText { - return markdownInlineContent(from: attributedString, context: context).richText +private func markdownRichText(from attributedString: NSAttributedString, context: MarkdownConversionContext) -> RichText? { + return markdownInlineContent(from: attributedString, context: context)?.richText } -private func markdownInlineContent(from attributedString: NSAttributedString, context: MarkdownConversionContext) -> MarkdownInlineContent { +private func markdownInlineContent(from attributedString: NSAttributedString, context: MarkdownConversionContext) -> MarkdownInlineContent? { guard attributedString.length > 0, #available(iOS 15.0, *) else { return MarkdownInlineContent(fragments: []) } - + var fragments: [MarkdownInlineFragment] = [] var htmlStyles: [MarkdownHTMLInlineStyle] = [] var consumeNextSoftBreak = false - - attributedString.enumerateAttributes(in: NSRange(location: 0, length: attributedString.length), options: []) { attributes, range, _ in + var didAbort = false + + attributedString.enumerateAttributes(in: NSRange(location: 0, length: attributedString.length), options: []) { attributes, range, stop in guard range.length > 0 else { return } + if context.budget.isExceeded { + didAbort = true + stop.pointee = true + return + } let text = attributedString.attributedSubstring(from: range).string guard !text.isEmpty else { return } - + let inlineIntent: InlinePresentationIntent? if let inlineIntentValue = attributes[markdownInlinePresentationIntentAttribute] as? InlinePresentationIntent { inlineIntent = inlineIntentValue @@ -594,11 +1474,16 @@ private func markdownInlineContent(from attributedString: NSAttributedString, co } else { inlineIntent = nil } - + if let inlineIntent, inlineIntent.contains(markdownInlineHTMLInlineIntent), let directive = markdownHTMLDirective(for: text) { switch directive { case let .open(style): htmlStyles.append(style) + guard context.budget.registerInlineHTMLStyleDepth(htmlStyles.count) else { + didAbort = true + stop.pointee = true + return + } case let .close(style): if let index = htmlStyles.lastIndex(of: style) { htmlStyles.remove(at: index) @@ -609,7 +1494,7 @@ private func markdownInlineContent(from attributedString: NSAttributedString, co } return } - + if consumeNextSoftBreak { if let inlineIntent, inlineIntent.contains(markdownSoftBreakInlineIntent), text == " " { consumeNextSoftBreak = false @@ -617,42 +1502,107 @@ private func markdownInlineContent(from attributedString: NSAttributedString, co } consumeNextSoftBreak = false } - + if let image = context.resolveImage(attributes: attributes) { fragments.append(.image(image)) return } - - var fragment: RichText = .plain(text) - if let inlineIntent { - if inlineIntent.contains(.stronglyEmphasized) { - fragment = .bold(fragment) + + let segments = markdownInlineTextSegments(from: text, formulasByPlaceholder: context.formulasByPlaceholder) + for segment in segments { + let baseText: RichText + let descriptor: MarkdownFormulaDescriptor? + switch segment { + case let .plain(plainText): + baseText = .plain(plainText) + descriptor = nil + case let .formula(formulaDescriptor): + baseText = .formula(latex: formulaDescriptor.latex) + descriptor = formulaDescriptor } - if inlineIntent.contains(.emphasized) { - fragment = .italic(fragment) + + var fragment = markdownApplyingInlineIntent(inlineIntent, to: baseText) + if let url = markdownLink(attributes: attributes, documentURL: context.documentURL) { + fragment = .url(text: fragment, url: url, webpageId: nil) } - if inlineIntent.contains(.strikethrough) { - fragment = .strikethrough(fragment) - } - if inlineIntent.contains(.code) { - fragment = .fixed(fragment) - } - if inlineIntent.contains(markdownHardBreakInlineIntent) { - fragment = .plain("\n") + fragment = markdownApplyHTMLStyles(htmlStyles, to: fragment) + + if let descriptor { + fragments.append(.formula(descriptor, fragment)) + } else { + fragments.append(.richText(fragment)) } } - - if let url = markdownLink(attributes: attributes, documentURL: context.documentURL) { - fragment = .url(text: fragment, url: url, webpageId: nil) - } - - fragments.append(.richText(markdownApplyHTMLStyles(htmlStyles, to: fragment))) } - + + guard !didAbort, !context.budget.isExceeded else { + return nil + } return MarkdownInlineContent(fragments: fragments) } +private func markdownInlineTextSegments(from text: String, formulasByPlaceholder: [String: MarkdownFormulaDescriptor]) -> [MarkdownInlineTextSegment] { + guard !text.isEmpty else { + return [] + } + + let nsText = text as NSString + let matches = markdownFormulaPlaceholderRegex.matches(in: text, range: NSRange(location: 0, length: nsText.length)) + guard !matches.isEmpty else { + return [.plain(text)] + } + + var result: [MarkdownInlineTextSegment] = [] + var currentLocation = 0 + + for match in matches { + if match.range.location > currentLocation { + result.append(.plain(nsText.substring(with: NSRange(location: currentLocation, length: match.range.location - currentLocation)))) + } + + let placeholder = nsText.substring(with: match.range) + if let descriptor = formulasByPlaceholder[placeholder] { + result.append(.formula(descriptor)) + } else { + result.append(.plain(placeholder)) + } + currentLocation = match.range.location + match.range.length + } + + if currentLocation < nsText.length { + result.append(.plain(nsText.substring(from: currentLocation))) + } + + return result +} + +@available(iOS 15.0, *) +private func markdownApplyingInlineIntent(_ inlineIntent: InlinePresentationIntent?, to text: RichText) -> RichText { + guard let inlineIntent else { + return text + } + + var result = text + if inlineIntent.contains(.stronglyEmphasized) { + result = .bold(result) + } + if inlineIntent.contains(.emphasized) { + result = .italic(result) + } + if inlineIntent.contains(.strikethrough) { + result = .strikethrough(result) + } + if inlineIntent.contains(.code) { + result = .fixed(result) + } + if inlineIntent.contains(markdownHardBreakInlineIntent) { + result = .plain("\n") + } + return result +} + private enum MarkdownHTMLInlineStyle: Equatable { + case underline case `subscript` case superscript case marked @@ -666,6 +1616,10 @@ private enum MarkdownHTMLDirective { private func markdownHTMLDirective(for text: String) -> MarkdownHTMLDirective? { switch text.trimmingCharacters(in: .whitespacesAndNewlines).lowercased() { + case "": + return .open(.underline) + case "": + return .close(.underline) case "": return .open(.subscript) case "": @@ -689,6 +1643,8 @@ private func markdownApplyHTMLStyles(_ styles: [MarkdownHTMLInlineStyle], to tex var result = text for style in styles { switch style { + case .underline: + result = .underline(result) case .subscript: result = .subscript(result) case .superscript: @@ -720,13 +1676,13 @@ private func markdownImageURL(attributes: [NSAttributedString.Key: Any]) -> Stri return nil } -private func markdownResolveImageSource(_ value: String) -> MarkdownResolvedImageSource { +private func markdownResolveImageSource(_ value: String, limits: MarkdownSafetyLimits) -> MarkdownResolvedImageSource { if value.hasPrefix("//") { return .remote("https:\(value)") } if value.lowercased().hasPrefix("data:") { - return markdownResolveDataImageSource(value) + return markdownResolveDataImageSource(value, limits: limits) } guard let url = URL(string: value), let scheme = url.scheme?.lowercased() else { @@ -737,23 +1693,23 @@ private func markdownResolveImageSource(_ value: String) -> MarkdownResolvedImag case "http", "https": return .remote(url.absoluteString) case "data": - return markdownResolveDataImageSource(url.absoluteString) + return markdownResolveDataImageSource(url.absoluteString, limits: limits) default: return .unsupported } } -private func markdownResolveDataImageSource(_ value: String) -> MarkdownResolvedImageSource { +private func markdownResolveDataImageSource(_ value: String, limits: MarkdownSafetyLimits) -> MarkdownResolvedImageSource { guard value.lowercased().hasPrefix("data:"), let commaIndex = value.firstIndex(of: ",") else { return .unsupported } - + let header = String(value[value.index(value.startIndex, offsetBy: 5) ..< commaIndex]) let payloadStart = value.index(after: commaIndex) let payload = String(value[payloadStart...]) let isBase64 = header.lowercased().contains(";base64") - + let data: Data? if isBase64 { data = Data(base64Encoded: payload, options: [.ignoreUnknownCharacters]) @@ -762,13 +1718,21 @@ private func markdownResolveDataImageSource(_ value: String) -> MarkdownResolved } else { data = nil } - - guard let data, - let image = UIImage(data: data), + + guard let data = data, data.count <= limits.maxDataImageBytes else { + return .unsupported + } + + guard let image = UIImage(data: data), let dimensions = markdownImagePixelDimensions(image) else { return .unsupported } - + + let pixelCount = Int64(dimensions.width) * Int64(dimensions.height) + guard pixelCount <= Int64(limits.maxDataImagePixelCount) else { + return .unsupported + } + return .data(data, dimensions) } @@ -794,7 +1758,7 @@ private func markdownInlineImageDimensions(attributes: [NSAttributedString.Key: guard let font = attributes[.font] as? UIFont else { return markdownDefaultInlineImageDimensions } - + let side = max(markdownDefaultInlineImageDimensions.width, Int32(ceil(font.lineHeight))) return PixelDimensions(width: side, height: side) } @@ -959,6 +1923,13 @@ private func markdownDroppingPrefixLength(_ length: Int, from text: RichText) -> return dropped == .empty ? .empty : .phone(text: dropped, phone: phone) case .image: return text + case let .formula(latex): + let nsLatex = latex as NSString + if nsLatex.length <= length { + return .empty + } else { + return .plain(nsLatex.substring(from: length)) + } case let .anchor(inner, name): let dropped = markdownDroppingPrefixLength(length, from: inner) return dropped == .empty ? .empty : .anchor(text: dropped, name: name) @@ -989,6 +1960,8 @@ private func markdownHasDisplayableContent(_ richText: RichText) -> Bool { return items.contains(where: markdownHasDisplayableContent) case .image: return true + case let .formula(latex): + return !latex.isEmpty } } @@ -1016,10 +1989,16 @@ private func markdownIsWhitespaceOnly(_ richText: RichText) -> Bool { return items.allSatisfy(markdownIsWhitespaceOnly) case .image: return false + case let .formula(latex): + return latex.trimmingCharacters(in: .whitespacesAndNewlines).isEmpty } } -private func markdownPlainText(from block: InstantPageBlock) -> String { +private func markdownPlainText(from block: InstantPageBlock, depth: Int = 0) -> String { + guard depth <= markdownSafetyLimits.maxPresentationIntentDepth else { + return "" + } + switch block { case let .title(text): return text.plainText @@ -1033,6 +2012,8 @@ private func markdownPlainText(from block: InstantPageBlock) -> String { return text.plainText case let .heading(text, _): return text.plainText + case let .formula(latex): + return latex case let .paragraph(text): return text.plainText case let .preformatted(text, _): @@ -1084,9 +2065,17 @@ private func markdownNormalizedCodeBlockLanguage(_ language: String?) -> String? return normalized.isEmpty ? nil : normalized } -private func markdownFirstParagraphText(from blocks: [InstantPageBlock]) -> String? { +private func markdownFirstParagraphText(from blocks: [InstantPageBlock], depth: Int = 0) -> String? { + guard depth <= markdownSafetyLimits.maxPresentationIntentDepth else { + return nil + } + for block in blocks { switch block { + case let .formula(latex): + if !latex.isEmpty { + return latex + } case let .paragraph(text): if !text.plainText.isEmpty { return text.plainText @@ -1099,7 +2088,7 @@ private func markdownFirstParagraphText(from blocks: [InstantPageBlock]) -> Stri return text.plainText } case let .blocks(blocks, _): - if let text = markdownFirstParagraphText(from: blocks) { + if let text = markdownFirstParagraphText(from: blocks, depth: depth + 1) { return text } default: @@ -1107,7 +2096,7 @@ private func markdownFirstParagraphText(from blocks: [InstantPageBlock]) -> Stri } } case let .details(_, blocks, _): - if let text = markdownFirstParagraphText(from: blocks) { + if let text = markdownFirstParagraphText(from: blocks, depth: depth + 1) { return text } default: diff --git a/submodules/BrowserUI/Sources/BrowserReadability.swift b/submodules/BrowserUI/Sources/BrowserReadability.swift index 3f5a45c894..e021ad2d01 100644 --- a/submodules/BrowserUI/Sources/BrowserReadability.swift +++ b/submodules/BrowserUI/Sources/BrowserReadability.swift @@ -343,6 +343,8 @@ private func trimStart(_ input: RichText) -> RichText { } case .image: break + case .formula: + break } return text } @@ -385,6 +387,8 @@ private func trimEnd(_ input: RichText) -> RichText { } case .image: break + case .formula: + break } return text } @@ -428,6 +432,8 @@ private func trim(_ input: RichText) -> RichText { } case .image: break + case .formula: + break } return text } @@ -470,6 +476,8 @@ private func addNewLine(_ input: RichText) -> RichText { } case .image: break + case let .formula(latex): + text = .concat([.formula(latex: latex), .plain("\n")]) } return text } diff --git a/submodules/Display/Source/Font.swift b/submodules/Display/Source/Font.swift index 9a93be6b1c..4f1a4c0cf8 100644 --- a/submodules/Display/Source/Font.swift +++ b/submodules/Display/Source/Font.swift @@ -224,7 +224,7 @@ public struct Font { } else { let font: UIFont switch design { - case .regular: + case .regular, .round: if traits.contains(.italic) { if let descriptor = UIFont.systemFont(ofSize: size, weight: weight.weight).fontDescriptor.withSymbolicTraits([.traitItalic]) { font = UIFont(descriptor: descriptor, size: size) @@ -254,8 +254,6 @@ public struct Font { } else { font = UIFont(name: "Menlo", size: size - 1.0) ?? UIFont.systemFont(ofSize: size) } - case .round: - font = UIFont(name: ".SFCompactRounded-Semibold", size: size) ?? UIFont.systemFont(ofSize: size) case .camera: func encodeText(string: String, key: Int16) -> String { let nsString = string as NSString diff --git a/submodules/InstantPageUI/BUILD b/submodules/InstantPageUI/BUILD index 58c18d70ea..91e9d5a2bf 100644 --- a/submodules/InstantPageUI/BUILD +++ b/submodules/InstantPageUI/BUILD @@ -29,6 +29,7 @@ swift_library( "//submodules/UndoUI:UndoUI", "//submodules/TranslateUI:TranslateUI", "//submodules/Tuples:Tuples", + "//third-party/SwiftMath:SwiftMath", ], visibility = [ "//visibility:public", diff --git a/submodules/InstantPageUI/Sources/InstantPageFormulaItem.swift b/submodules/InstantPageUI/Sources/InstantPageFormulaItem.swift new file mode 100644 index 0000000000..3c6d8d1cbb --- /dev/null +++ b/submodules/InstantPageUI/Sources/InstantPageFormulaItem.swift @@ -0,0 +1,185 @@ +import Foundation +import UIKit +import TelegramCore +import AsyncDisplayKit +import Display +import TelegramPresentationData +import TelegramUIPreferences +import AccountContext +import ContextUI + +final class InstantPageFormulaNode: ASImageNode, InstantPageNode { + let attachment: InstantPageMathAttachment + + init(attachment: InstantPageMathAttachment) { + self.attachment = attachment + super.init() + + self.isUserInteractionEnabled = false + self.displaysAsynchronously = false + self.image = attachment.rendered.image + } + + func updateIsVisible(_ isVisible: Bool) { + } + + func transitionNode(media: InstantPageMedia) -> (ASDisplayNode, CGRect, () -> (UIView?, UIView?))? { + return nil + } + + func updateHiddenMedia(media: InstantPageMedia?) { + } + + func update(strings: PresentationStrings, theme: InstantPageTheme) { + } + + func updateLayout(size: CGSize, transition: ContainedViewLayoutTransition) { + } +} + +final class InstantPageTextFormulaItem: InstantPageItem { + var frame: CGRect + let attachment: InstantPageMathAttachment + + let wantsNode: Bool = true + let separatesTiles: Bool = false + let medias: [InstantPageMedia] = [] + + init(frame: CGRect, attachment: InstantPageMathAttachment) { + self.frame = frame + self.attachment = attachment + } + + func matchesAnchor(_ anchor: String) -> Bool { + return false + } + + func drawInTile(context: CGContext) { + } + + func node(context: AccountContext, strings: PresentationStrings, nameDisplayOrder: PresentationPersonNameOrder, theme: InstantPageTheme, sourceLocation: InstantPageSourceLocation, openMedia: @escaping (InstantPageMedia) -> Void, longPressMedia: @escaping (InstantPageMedia) -> Void, activatePinchPreview: ((PinchSourceContainerNode) -> Void)?, pinchPreviewFinished: ((InstantPageNode) -> Void)?, openPeer: @escaping (EnginePeer) -> Void, openUrl: @escaping (InstantPageUrlItem) -> Void, updateWebEmbedHeight: @escaping (CGFloat) -> Void, updateDetailsExpanded: @escaping (Bool) -> Void, currentExpandedDetails: [Int : Bool]?, getPreloadedResource: @escaping (String) -> Data?) -> InstantPageNode? { + return InstantPageFormulaNode(attachment: self.attachment) + } + + func matchesNode(_ node: InstantPageNode) -> Bool { + guard let node = node as? InstantPageFormulaNode else { + return false + } + return self.attachment.isEqual(to: node.attachment) + } + + func linkSelectionRects(at point: CGPoint) -> [CGRect] { + return [] + } + + func distanceThresholdGroup() -> Int? { + return nil + } + + func distanceThresholdWithGroupCount(_ count: Int) -> CGFloat { + return 0.0 + } +} + +final class InstantPageFormulaItem: InstantPageItem { + var frame: CGRect + let attachment: InstantPageMathAttachment + + let wantsNode: Bool = true + let separatesTiles: Bool = false + let medias: [InstantPageMedia] = [] + + init(frame: CGRect, attachment: InstantPageMathAttachment) { + self.frame = frame + self.attachment = attachment + } + + func matchesAnchor(_ anchor: String) -> Bool { + return false + } + + func drawInTile(context: CGContext) { + } + + func node(context: AccountContext, strings: PresentationStrings, nameDisplayOrder: PresentationPersonNameOrder, theme: InstantPageTheme, sourceLocation: InstantPageSourceLocation, openMedia: @escaping (InstantPageMedia) -> Void, longPressMedia: @escaping (InstantPageMedia) -> Void, activatePinchPreview: ((PinchSourceContainerNode) -> Void)?, pinchPreviewFinished: ((InstantPageNode) -> Void)?, openPeer: @escaping (EnginePeer) -> Void, openUrl: @escaping (InstantPageUrlItem) -> Void, updateWebEmbedHeight: @escaping (CGFloat) -> Void, updateDetailsExpanded: @escaping (Bool) -> Void, currentExpandedDetails: [Int : Bool]?, getPreloadedResource: @escaping (String) -> Data?) -> InstantPageNode? { + return InstantPageFormulaNode(attachment: self.attachment) + } + + func matchesNode(_ node: InstantPageNode) -> Bool { + guard let node = node as? InstantPageFormulaNode else { + return false + } + return self.attachment.isEqual(to: node.attachment) + } + + func linkSelectionRects(at point: CGPoint) -> [CGRect] { + return [] + } + + func distanceThresholdGroup() -> Int? { + return nil + } + + func distanceThresholdWithGroupCount(_ count: Int) -> CGFloat { + return 0.0 + } +} + +final class InstantPageScrollableFormulaItem: InstantPageScrollableItem { + var frame: CGRect + let attachment: InstantPageMathAttachment + let totalWidth: CGFloat + let horizontalInset: CGFloat + + let medias: [InstantPageMedia] = [] + let wantsNode: Bool = true + let separatesTiles: Bool = false + let isRTL: Bool = false + + init(frame: CGRect, attachment: InstantPageMathAttachment, totalWidth: CGFloat, horizontalInset: CGFloat) { + self.frame = frame + self.attachment = attachment + self.totalWidth = totalWidth + self.horizontalInset = horizontalInset + } + + var contentSize: CGSize { + return CGSize(width: self.totalWidth, height: self.frame.height) + } + + func matchesAnchor(_ anchor: String) -> Bool { + return false + } + + func drawInTile(context: CGContext) { + } + + func node(context: AccountContext, strings: PresentationStrings, nameDisplayOrder: PresentationPersonNameOrder, theme: InstantPageTheme, sourceLocation: InstantPageSourceLocation, openMedia: @escaping (InstantPageMedia) -> Void, longPressMedia: @escaping (InstantPageMedia) -> Void, activatePinchPreview: ((PinchSourceContainerNode) -> Void)?, pinchPreviewFinished: ((InstantPageNode) -> Void)?, openPeer: @escaping (EnginePeer) -> Void, openUrl: @escaping (InstantPageUrlItem) -> Void, updateWebEmbedHeight: @escaping (CGFloat) -> Void, updateDetailsExpanded: @escaping (Bool) -> Void, currentExpandedDetails: [Int : Bool]?, getPreloadedResource: @escaping (String) -> Data?) -> InstantPageNode? { + let node = InstantPageFormulaNode(attachment: self.attachment) + node.frame = CGRect(origin: .zero, size: self.attachment.rendered.size) + return InstantPageScrollableNode(item: self, additionalNodes: [node]) + } + + func matchesNode(_ node: InstantPageNode) -> Bool { + if let node = node as? InstantPageScrollableNode { + return node.item === self + } + return false + } + + func linkSelectionRects(at point: CGPoint) -> [CGRect] { + return [] + } + + func distanceThresholdGroup() -> Int? { + return nil + } + + func distanceThresholdWithGroupCount(_ count: Int) -> CGFloat { + return 0.0 + } + + func textItemAtLocation(_ location: CGPoint) -> (InstantPageTextItem, CGPoint)? { + return nil + } +} diff --git a/submodules/InstantPageUI/Sources/InstantPageLayout.swift b/submodules/InstantPageUI/Sources/InstantPageLayout.swift index c5bfaca6b9..937d04c6b4 100644 --- a/submodules/InstantPageUI/Sources/InstantPageLayout.swift +++ b/submodules/InstantPageUI/Sources/InstantPageLayout.swift @@ -291,6 +291,37 @@ public func layoutInstantPageBlock(webpage: TelegramMediaWebpage, userLocation: setupStyleStack(styleStack, theme: theme, attributes: theme.headingTextAttributes(level: level, link: false)) let (_, items, contentSize) = layoutTextItemWithString(attributedStringForRichText(text, styleStack: styleStack), boundingWidth: boundingWidth - horizontalInset * 2.0, offset: CGPoint(x: horizontalInset, y: 0.0), media: media, webpage: webpage) return InstantPageLayout(origin: CGPoint(), contentSize: contentSize, items: items) + case let .formula(latex): + let styleStack = InstantPageTextStyleStack() + setupStyleStack(styleStack, theme: theme, category: .paragraph, link: false) + let attributes = styleStack.textAttributes() + let textColor = (attributes[NSAttributedString.Key.foregroundColor] as? UIColor) ?? theme.textCategories.paragraph.color + let fontSize = (attributes[NSAttributedString.Key.font] as? UIFont)?.pointSize ?? theme.textCategories.paragraph.font.size + + guard let attachment = instantPageMathAttachment(latex: latex, fontSize: fontSize, textColor: textColor, mode: .block) else { + let (_, items, contentSize) = layoutTextItemWithString(attributedStringForRichText(.plain(latex), styleStack: styleStack), boundingWidth: boundingWidth - horizontalInset * 2.0, offset: CGPoint(x: horizontalInset, y: 0.0), media: media, webpage: webpage) + return InstantPageLayout(origin: CGPoint(), contentSize: contentSize, items: items) + } + + let availableWidth = boundingWidth - horizontalInset * 2.0 + if attachment.rendered.size.width > availableWidth { + let scrollableItem = InstantPageScrollableFormulaItem( + frame: CGRect(origin: .zero, size: CGSize(width: boundingWidth, height: attachment.rendered.size.height)), + attachment: attachment, + totalWidth: attachment.rendered.size.width, + horizontalInset: horizontalInset + ) + return InstantPageLayout(origin: CGPoint(), contentSize: scrollableItem.frame.size, items: [scrollableItem]) + } else { + let item = InstantPageFormulaItem( + frame: CGRect( + origin: CGPoint(x: horizontalInset + floor((availableWidth - attachment.rendered.size.width) / 2.0), y: 0.0), + size: attachment.rendered.size + ), + attachment: attachment + ) + return InstantPageLayout(origin: CGPoint(), contentSize: CGSize(width: boundingWidth, height: attachment.rendered.size.height), items: [item]) + } case let .paragraph(text): let styleStack = InstantPageTextStyleStack() setupStyleStack(styleStack, theme: theme, category: .paragraph, link: false) diff --git a/submodules/InstantPageUI/Sources/InstantPageLayoutSpacings.swift b/submodules/InstantPageUI/Sources/InstantPageLayoutSpacings.swift index 51cc7d4886..6536f2a200 100644 --- a/submodules/InstantPageUI/Sources/InstantPageLayoutSpacings.swift +++ b/submodules/InstantPageUI/Sources/InstantPageLayoutSpacings.swift @@ -27,20 +27,38 @@ func spacingBetweenBlocks(upper: InstantPageBlock?, lower: InstantPageBlock?) -> return 31.0 case (.preformatted, .paragraph): return 19.0 + case (.formula, .paragraph): + return 19.0 case (.paragraph, .paragraph): return 25.0 case (_, .paragraph): return 20.0 + case (.title, .formula), (.authorDate, .formula): + return 34.0 + case (.header, .formula), (.subheader, .formula), (.heading, .formula): + return 25.0 + case (.list, .formula): + return 31.0 + case (.preformatted, .formula): + return 19.0 + case (.paragraph, .formula): + return 19.0 + case (_, .formula): + return 20.0 case (.title, .list), (.authorDate, .list): return 34.0 case (.header, .list), (.subheader, .list), (.heading, .list): return 31.0 case (.preformatted, .list): return 19.0 + case (.formula, .list): + return 25.0 case (_, .list): return 25.0 case (.paragraph, .preformatted): return 19.0 + case (.formula, .preformatted): + return 19.0 case (_, .preformatted): return 20.0 case (_, .header), (_, .subheader), (_, .heading): diff --git a/submodules/InstantPageUI/Sources/InstantPageMath.swift b/submodules/InstantPageUI/Sources/InstantPageMath.swift new file mode 100644 index 0000000000..1c77532019 --- /dev/null +++ b/submodules/InstantPageUI/Sources/InstantPageMath.swift @@ -0,0 +1,79 @@ +import Foundation +import UIKit +import SwiftMath + +enum InstantPageMathMode { + case inline + case block +} + +struct InstantPageMathRenderResult { + let image: UIImage + let size: CGSize + let width: CGFloat + let ascent: CGFloat + let descent: CGFloat +} + +final class InstantPageMathAttachment: NSObject { + let latex: String + let fontSize: CGFloat + let textColor: UIColor + let mode: InstantPageMathMode + let rendered: InstantPageMathRenderResult + + init(latex: String, fontSize: CGFloat, textColor: UIColor, mode: InstantPageMathMode, rendered: InstantPageMathRenderResult) { + self.latex = latex + self.fontSize = fontSize + self.textColor = textColor + self.mode = mode + self.rendered = rendered + } + + func isEqual(to other: InstantPageMathAttachment) -> Bool { + return self.latex == other.latex + && self.fontSize == other.fontSize + && self.mode == other.mode + && self.textColor.isEqual(other.textColor) + && self.rendered.size == other.rendered.size + && self.rendered.ascent == other.rendered.ascent + && self.rendered.descent == other.rendered.descent + } +} + +func instantPageMathAttachment(latex: String, fontSize: CGFloat, textColor: UIColor, mode: InstantPageMathMode) -> InstantPageMathAttachment? { + let effectiveFontSize: CGFloat + let multiplier: CGFloat = 1.12 + switch mode { + case .inline: + effectiveFontSize = fontSize * multiplier + case .block: + effectiveFontSize = fontSize * multiplier + } + + guard let rendered = instantPageRenderMath(latex: latex, fontSize: effectiveFontSize, textColor: textColor, mode: mode) else { + return nil + } + return InstantPageMathAttachment(latex: latex, fontSize: effectiveFontSize, textColor: textColor, mode: mode, rendered: rendered) +} + +private func instantPageRenderMath(latex: String, fontSize: CGFloat, textColor: UIColor, mode: InstantPageMathMode) -> InstantPageMathRenderResult? { + let renderMode: MTMathUILabelMode + switch mode { + case .inline: + renderMode = .text + case .block: + renderMode = .display + } + + guard let rendered = MTMathRenderer.render(latex: latex, fontSize: fontSize, textColor: textColor, mode: renderMode) else { + return nil + } + return InstantPageMathRenderResult( + image: rendered.image, + size: rendered.size, + width: rendered.width, + ascent: rendered.ascent, + descent: rendered.descent + ) +} diff --git a/submodules/InstantPageUI/Sources/InstantPageTextItem.swift b/submodules/InstantPageUI/Sources/InstantPageTextItem.swift index 1b4c08197c..a66ff44839 100644 --- a/submodules/InstantPageUI/Sources/InstantPageTextItem.swift +++ b/submodules/InstantPageUI/Sources/InstantPageTextItem.swift @@ -26,6 +26,7 @@ public final class InstantPageUrlItem: Equatable { struct InstantPageTextMarkedItem { let frame: CGRect let color: UIColor + let range: NSRange } struct InstantPageTextStrikethroughItem { @@ -38,6 +39,12 @@ struct InstantPageTextImageItem { let id: EngineMedia.Id } +struct InstantPageTextFormulaRun { + let frame: CGRect + let range: NSRange + let attachment: InstantPageMathAttachment +} + public struct InstantPageTextAnchorItem { public let name: String public let anchorText: NSAttributedString? @@ -63,16 +70,18 @@ public final class InstantPageTextLine { let strikethroughItems: [InstantPageTextStrikethroughItem] let markedItems: [InstantPageTextMarkedItem] let imageItems: [InstantPageTextImageItem] + let formulaItems: [InstantPageTextFormulaRun] public let anchorItems: [InstantPageTextAnchorItem] let isRTL: Bool - init(line: CTLine, range: NSRange, frame: CGRect, strikethroughItems: [InstantPageTextStrikethroughItem], markedItems: [InstantPageTextMarkedItem], imageItems: [InstantPageTextImageItem], anchorItems: [InstantPageTextAnchorItem], isRTL: Bool) { + init(line: CTLine, range: NSRange, frame: CGRect, strikethroughItems: [InstantPageTextStrikethroughItem], markedItems: [InstantPageTextMarkedItem], imageItems: [InstantPageTextImageItem], formulaItems: [InstantPageTextFormulaRun], anchorItems: [InstantPageTextAnchorItem], isRTL: Bool) { self.line = line self.range = range self.frame = frame self.strikethroughItems = strikethroughItems self.markedItems = markedItems self.imageItems = imageItems + self.formulaItems = formulaItems self.anchorItems = anchorItems self.isRTL = isRTL } @@ -88,6 +97,75 @@ private func frameForLine(_ line: InstantPageTextLine, boundingWidth: CGFloat, a return lineFrame } +private func expandedFrameForLine(_ line: InstantPageTextLine, boundingWidth: CGFloat, alignment: NSTextAlignment) -> CGRect { + var lineFrame = line.frame + for imageItem in line.imageItems { + if imageItem.frame.minY < lineFrame.minY { + let delta = lineFrame.minY - imageItem.frame.minY - 2.0 + lineFrame = CGRect(x: lineFrame.minX, y: lineFrame.minY - delta, width: lineFrame.width, height: lineFrame.height + delta) + } + if imageItem.frame.maxY > lineFrame.maxY { + let delta = imageItem.frame.maxY - lineFrame.maxY - 2.0 + lineFrame = CGRect(x: lineFrame.minX, y: lineFrame.minY, width: lineFrame.width, height: lineFrame.height + delta) + } + } + for formulaItem in line.formulaItems { + if formulaItem.frame.minY < lineFrame.minY { + let delta = lineFrame.minY - formulaItem.frame.minY - 2.0 + lineFrame = CGRect(x: lineFrame.minX, y: lineFrame.minY - delta, width: lineFrame.width, height: lineFrame.height + delta) + } + if formulaItem.frame.maxY > lineFrame.maxY { + let delta = formulaItem.frame.maxY - lineFrame.maxY - 2.0 + lineFrame = CGRect(x: lineFrame.minX, y: lineFrame.minY, width: lineFrame.width, height: lineFrame.height + delta) + } + } + lineFrame = lineFrame.insetBy(dx: 0.0, dy: -4.0) + if alignment == .center { + lineFrame.origin.x = floor((boundingWidth - lineFrame.size.width) / 2.0) + } else if alignment == .right || (alignment == .natural && line.isRTL) { + lineFrame.origin.x = boundingWidth - lineFrame.size.width + } + return lineFrame +} + +private func alignedAttachmentFrame(_ frame: CGRect, line: InstantPageTextLine, boundingWidth: CGFloat, alignment: NSTextAlignment) -> CGRect { + let lineFrame = frameForLine(line, boundingWidth: boundingWidth, alignment: alignment) + return frame.offsetBy(dx: lineFrame.minX - line.frame.minX, dy: 0.0) +} + +private func localAttachmentBoundsForRange(_ range: NSRange, imageItems: [InstantPageTextImageItem], formulaItems: [InstantPageTextFormulaRun]) -> CGRect? { + var result: CGRect? + + for imageItem in imageItems { + if NSIntersectionRange(range, imageItem.range).length != 0 { + if let current = result { + result = current.union(imageItem.frame) + } else { + result = imageItem.frame + } + } + } + + for formulaItem in formulaItems { + if NSIntersectionRange(range, formulaItem.range).length != 0 { + if let current = result { + result = current.union(formulaItem.frame) + } else { + result = formulaItem.frame + } + } + } + + return result +} + +private func attachmentBoundsForRange(_ range: NSRange, line: InstantPageTextLine, boundingWidth: CGFloat, alignment: NSTextAlignment) -> CGRect? { + guard let localBounds = localAttachmentBoundsForRange(range, imageItems: line.imageItems, formulaItems: line.formulaItems) else { + return nil + } + return alignedAttachmentFrame(localBounds, line: line, boundingWidth: boundingWidth, alignment: alignment) +} + public final class InstantPageTextItem: InstantPageItem { let attributedString: NSAttributedString public let lines: [InstantPageTextLine] @@ -197,7 +275,7 @@ public final class InstantPageTextItem: InstantPageItem { for i in 0 ..< self.lines.count { let line = self.lines[i] - let lineFrame = frameForLine(line, boundingWidth: boundsWidth, alignment: self.alignment) + let lineFrame = expandedFrameForLine(line, boundingWidth: boundsWidth, alignment: self.alignment) if lineFrame.insetBy(dx: -5.0, dy: -5.0).contains(transformedPoint) { var index = CTLineGetStringIndexForPosition(line.line, CGPoint(x: transformedPoint.x - lineFrame.minX, y: transformedPoint.y - lineFrame.minY)) if index == self.attributedString.length { @@ -238,8 +316,20 @@ public final class InstantPageTextItem: InstantPageItem { } let lineFrame = frameForLine(line, boundingWidth: boundsWidth, alignment: self.alignment) let width = abs(rightOffset - leftOffset) + + var rect: CGRect? if width > 1.0 { - rects.append(CGRect(origin: CGPoint(x: lineFrame.minX + (leftOffset < rightOffset ? leftOffset : rightOffset), y: lineFrame.minY), size: CGSize(width: width, height: lineFrame.size.height))) + rect = CGRect(origin: CGPoint(x: lineFrame.minX + (leftOffset < rightOffset ? leftOffset : rightOffset), y: lineFrame.minY), size: CGSize(width: width, height: lineFrame.size.height)) + } + if let attachmentBounds = attachmentBoundsForRange(lineRange, line: line, boundingWidth: boundsWidth, alignment: self.alignment) { + if rect != nil { + rect = rect!.union(attachmentBounds) + } else { + rect = attachmentBounds + } + } + if let rect, rect.width > 1.0 { + rects.append(rect) } } } @@ -304,25 +394,7 @@ public final class InstantPageTextItem: InstantPageItem { } } - var lineFrame = line.frame - for imageItem in line.imageItems { - if imageItem.frame.minY < lineFrame.minY { - let delta = lineFrame.minY - imageItem.frame.minY - 2.0 - lineFrame = CGRect(x: lineFrame.minX, y: lineFrame.minY - delta, width: lineFrame.width, height: lineFrame.height + delta) - } - if imageItem.frame.maxY > lineFrame.maxY { - let delta = imageItem.frame.maxY - lineFrame.maxY - 2.0 - lineFrame = CGRect(x: lineFrame.minX, y: lineFrame.minY, width: lineFrame.width, height: lineFrame.height + delta) - } - } - lineFrame = lineFrame.insetBy(dx: 0.0, dy: -4.0) - if self.alignment == .center { - lineFrame.origin.x = floor((boundsWidth - lineFrame.size.width) / 2.0) - } else if self.alignment == .right { - lineFrame.origin.x = boundsWidth - lineFrame.size.width - } else if self.alignment == .natural && self.rtlLineIndices.contains(i) { - lineFrame.origin.x = boundsWidth - lineFrame.size.width - } + let lineFrame = expandedFrameForLine(line, boundingWidth: boundsWidth, alignment: self.alignment) let width = max(0.0, abs(rightOffset - leftOffset)) @@ -368,25 +440,7 @@ public final class InstantPageTextItem: InstantPageItem { for i in 0 ..< self.lines.count { let line = self.lines[i] - var lineFrame = line.frame - for imageItem in line.imageItems { - if imageItem.frame.minY < lineFrame.minY { - let delta = lineFrame.minY - imageItem.frame.minY - 2.0 - lineFrame = CGRect(x: lineFrame.minX, y: lineFrame.minY - delta, width: lineFrame.width, height: lineFrame.height + delta) - } - if imageItem.frame.maxY > lineFrame.maxY { - let delta = imageItem.frame.maxY - lineFrame.maxY - 2.0 - lineFrame = CGRect(x: lineFrame.minX, y: lineFrame.minY, width: lineFrame.width, height: lineFrame.height + delta) - } - } - lineFrame = lineFrame.insetBy(dx: 0.0, dy: -4.0) - if self.alignment == .center { - lineFrame.origin.x = floor((boundsWidth - lineFrame.size.width) / 2.0) - } else if self.alignment == .right { - lineFrame.origin.x = boundsWidth - lineFrame.size.width - } else if self.alignment == .natural && self.rtlLineIndices.contains(i) { - lineFrame.origin.x = boundsWidth - lineFrame.size.width - } + let lineFrame = expandedFrameForLine(line, boundingWidth: boundsWidth, alignment: self.alignment) if lineFrame.minX < topLeft.x { topLeft = CGPoint(x: lineFrame.minX, y: topLeft.y) @@ -633,6 +687,43 @@ func attributedStringForRichText(_ text: RichText, styleStack: InstantPageTextSt let mutableAttributedString = attributedStringForRichText(.plain(" "), styleStack: styleStack, url: url).mutableCopy() as! NSMutableAttributedString mutableAttributedString.addAttributes(attrDictionaryDelegate, range: NSMakeRange(0, mutableAttributedString.length)) return mutableAttributedString + case let .formula(latex): + let attributes = styleStack.textAttributes() + let textColor = (attributes[NSAttributedString.Key.foregroundColor] as? UIColor) ?? UIColor.black + let fontSize = (attributes[NSAttributedString.Key.font] as? UIFont)?.pointSize ?? 16.0 + guard let attachment = instantPageMathAttachment(latex: latex, fontSize: fontSize, textColor: textColor, mode: .inline) else { + var fallbackAttributes = attributes + if let url = url { + fallbackAttributes[NSAttributedString.Key(rawValue: TelegramTextAttributes.URL)] = url + } + return NSAttributedString(string: latex, attributes: fallbackAttributes) + } + + struct RunStruct { + let ascent: CGFloat + let descent: CGFloat + let width: CGFloat + } + let extentBuffer = UnsafeMutablePointer.allocate(capacity: 1) + extentBuffer.initialize(to: RunStruct(ascent: attachment.rendered.ascent, descent: attachment.rendered.descent, width: attachment.rendered.size.width)) + var callbacks = CTRunDelegateCallbacks(version: kCTRunDelegateVersion1, dealloc: { _ in + }, getAscent: { pointer -> CGFloat in + let data = pointer.assumingMemoryBound(to: RunStruct.self) + return data.pointee.ascent + }, getDescent: { pointer -> CGFloat in + let data = pointer.assumingMemoryBound(to: RunStruct.self) + return data.pointee.descent + }, getWidth: { pointer -> CGFloat in + let data = pointer.assumingMemoryBound(to: RunStruct.self) + return data.pointee.width + }) + let delegate = CTRunDelegateCreate(&callbacks, extentBuffer) + let mutableAttributedString = attributedStringForRichText(.plain(" "), styleStack: styleStack, url: url).mutableCopy() as! NSMutableAttributedString + mutableAttributedString.addAttributes([ + kCTRunDelegateAttributeName as NSAttributedString.Key: delegate as Any, + NSAttributedString.Key(rawValue: InstantPageFormulaAttribute): attachment + ], range: NSMakeRange(0, mutableAttributedString.length)) + return mutableAttributedString case let .anchor(text, name): var empty = false var text = text @@ -655,6 +746,7 @@ func layoutTextItemWithString(_ string: NSAttributedString, boundingWidth: CGFlo var lines: [InstantPageTextLine] = [] var imageItems: [InstantPageTextImageItem] = [] + var formulaItems: [InstantPageTextFormulaItem] = [] var font = string.attribute(NSAttributedString.Key.font, at: 0, effectiveRange: nil) as? UIFont if font == nil { let range = NSMakeRange(0, string.length) @@ -665,7 +757,8 @@ func layoutTextItemWithString(_ string: NSAttributedString, boundingWidth: CGFlo } } let image = string.attribute(NSAttributedString.Key.init(rawValue: InstantPageMediaIdAttribute), at: 0, effectiveRange: nil) - guard font != nil || image != nil else { + let formula = string.attribute(NSAttributedString.Key(rawValue: InstantPageFormulaAttribute), at: 0, effectiveRange: nil) + guard font != nil || image != nil || formula != nil else { return (nil, [], CGSize()) } @@ -686,7 +779,6 @@ func layoutTextItemWithString(_ string: NSAttributedString, boundingWidth: CGFlo var hasAnchors = false var maxLineWidth: CGFloat = 0.0 - var maxImageHeight: CGFloat = 0.0 var extraDescent: CGFloat = 0.0 let text = string.string var indexOffset: CFIndex? @@ -741,6 +833,8 @@ func layoutTextItemWithString(_ string: NSAttributedString, boundingWidth: CGFlo let hadExtraDescent = extraDescent > 0.0 extraDescent = 0.0 var lineImageItems: [InstantPageTextImageItem] = [] + var lineFormulaItems: [InstantPageTextFormulaRun] = [] + var lineMaxAttachmentHeight: CGFloat = 0.0 var isRTL = false if let glyphRuns = CTLineGetGlyphRuns(line) as? [CTRun], !glyphRuns.isEmpty { if let run = glyphRuns.first, CTRunGetStatus(run).contains(CTRunStatus.rightToLeft) { @@ -769,20 +863,49 @@ func layoutTextItemWithString(_ string: NSAttributedString, boundingWidth: CGFlo if !fontLineHeight.isZero { extraDescent = max(extraDescent, imageFrame.maxY - (workingLineOrigin.y + fontLineHeight + minSpacing)) } - maxImageHeight = max(maxImageHeight, imageFrame.height) + lineMaxAttachmentHeight = max(lineMaxAttachmentHeight, imageFrame.height) lineImageItems.append(InstantPageTextImageItem(frame: imageFrame, range: range, id: EngineMedia.Id(namespace: Namespaces.Media.CloudFile, id: id))) + } else if let attachment = attributes[NSAttributedString.Key(rawValue: InstantPageFormulaAttribute)] as? InstantPageMathAttachment { + let xOffset = CTLineGetOffsetForStringIndex(line, range.location, nil) + let baselineOffset = (attributes[NSAttributedString.Key.baselineOffset] as? CGFloat) ?? 0.0 + var formulaFrame = CGRect( + origin: CGPoint( + x: workingLineOrigin.x + xOffset, + y: workingLineOrigin.y + fontLineHeight + baselineOffset - attachment.rendered.ascent + ), + size: attachment.rendered.size + ) + + let minSpacing = fontLineSpacing - 4.0 + let delta = workingLineOrigin.y - minSpacing - formulaFrame.minY - appliedLineOffset + if !fontAscent.isZero && delta > 0.0 { + workingLineOrigin.y += delta + appliedLineOffset += delta + formulaFrame.origin = formulaFrame.origin.offsetBy(dx: 0.0, dy: delta) + } + if !fontLineHeight.isZero { + extraDescent = max(extraDescent, formulaFrame.maxY - (workingLineOrigin.y + fontLineHeight + minSpacing)) + } + lineMaxAttachmentHeight = max(lineMaxAttachmentHeight, formulaFrame.height) + lineFormulaItems.append(InstantPageTextFormulaRun(frame: formulaFrame, range: range, attachment: attachment)) } } } } - if substring.trimmingCharacters(in: .whitespacesAndNewlines).isEmpty && lineImageItems.count > 0 { + if substring.trimmingCharacters(in: .whitespacesAndNewlines).isEmpty && (!lineImageItems.isEmpty || !lineFormulaItems.isEmpty) { extraDescent += max(6.0, fontLineSpacing / 2.0) } - if !minimizeWidth && !hadIndexOffset && lineCharacterCount > 1 && lineWidth > currentMaxWidth + 5.0, let imageItem = lineImageItems.last { - indexOffset = -(lastIndex + lineCharacterCount - imageItem.range.lowerBound) - continue + if !minimizeWidth && !hadIndexOffset && lineCharacterCount > 1 && lineWidth > currentMaxWidth + 5.0 { + if let imageItem = lineImageItems.last { + indexOffset = -(lastIndex + lineCharacterCount - imageItem.range.lowerBound) + continue + } + if let formulaItem = lineFormulaItems.last { + indexOffset = -(lastIndex + lineCharacterCount - formulaItem.range.lowerBound) + continue + } } var strikethroughItems: [InstantPageTextStrikethroughItem] = [] @@ -807,7 +930,7 @@ func layoutTextItemWithString(_ string: NSAttributedString, boundingWidth: CGFlo let lowerX = floor(CTLineGetOffsetForStringIndex(line, range.location, nil)) let upperX = ceil(CTLineGetOffsetForStringIndex(line, range.location + range.length, nil)) let x = lowerX < upperX ? lowerX : upperX - markedItems.append(InstantPageTextMarkedItem(frame: CGRect(x: workingLineOrigin.x + x, y: workingLineOrigin.y + delta, width: abs(upperX - lowerX), height: lineHeight), color: color)) + markedItems.append(InstantPageTextMarkedItem(frame: CGRect(x: workingLineOrigin.x + x, y: workingLineOrigin.y + delta, width: abs(upperX - lowerX), height: lineHeight), color: color, range: range)) } if let item = attributes[NSAttributedString.Key.init(rawValue: InstantPageAnchorAttribute)] as? Dictionary, let name = item["name"] as? String, let empty = item["empty"] as? Bool { anchorItems.append(InstantPageTextAnchorItem(name: name, anchorText: item["text"] as? NSAttributedString, empty: empty)) @@ -822,11 +945,35 @@ func layoutTextItemWithString(_ string: NSAttributedString, boundingWidth: CGFlo workingLineOrigin.y += fontLineSpacing } - let height = !fontLineHeight.isZero ? fontLineHeight : maxImageHeight - let textLine = InstantPageTextLine(line: line, range: lineRange, frame: CGRect(x: workingLineOrigin.x, y: workingLineOrigin.y, width: lineWidth, height: height), strikethroughItems: strikethroughItems, markedItems: markedItems, imageItems: lineImageItems, anchorItems: anchorItems, isRTL: isRTL) + let height = !fontLineHeight.isZero ? max(fontLineHeight, lineMaxAttachmentHeight) : lineMaxAttachmentHeight + if !lineFormulaItems.isEmpty { + let baselineAdjustment = height - fontLineHeight + if !baselineAdjustment.isZero { + lineFormulaItems = lineFormulaItems.map { item in + InstantPageTextFormulaRun( + frame: item.frame.offsetBy(dx: 0.0, dy: baselineAdjustment), + range: item.range, + attachment: item.attachment + ) + } + } + } + if !markedItems.isEmpty { + markedItems = markedItems.map { item in + if let attachmentBounds = localAttachmentBoundsForRange(item.range, imageItems: lineImageItems, formulaItems: lineFormulaItems) { + return InstantPageTextMarkedItem(frame: attachmentBounds, color: item.color, range: item.range) + } else { + return item + } + } + } + let textLine = InstantPageTextLine(line: line, range: lineRange, frame: CGRect(x: workingLineOrigin.x, y: workingLineOrigin.y, width: lineWidth, height: height), strikethroughItems: strikethroughItems, markedItems: markedItems, imageItems: lineImageItems, formulaItems: lineFormulaItems, anchorItems: anchorItems, isRTL: isRTL) lines.append(textLine) imageItems.append(contentsOf: lineImageItems) + for formulaItem in lineFormulaItems { + formulaItems.append(InstantPageTextFormulaItem(frame: formulaItem.frame, attachment: formulaItem.attachment)) + } if lineWidth > maxLineWidth { maxLineWidth = lineWidth @@ -853,7 +1000,7 @@ func layoutTextItemWithString(_ string: NSAttributedString, boundingWidth: CGFlo var textWidth = boundingWidth var requiresScroll = false - if !imageItems.isEmpty && maxLineWidth > boundingWidth + 10.0 { + if (!imageItems.isEmpty || !formulaItems.isEmpty) && maxLineWidth > boundingWidth + 10.0 { textWidth = maxLineWidth requiresScroll = true } @@ -870,13 +1017,13 @@ func layoutTextItemWithString(_ string: NSAttributedString, boundingWidth: CGFlo var topInset: CGFloat = 0.0 var bottomInset: CGFloat = 0.0 var additionalItems: [InstantPageItem] = [] - if let webpage = webpage { - let offset = requiresScroll ? CGPoint() : offset - for line in textItem.lines { - let lineFrame = frameForLine(line, boundingWidth: boundingWidth, alignment: alignment) + let effectiveOffset = requiresScroll ? CGPoint() : offset + for line in textItem.lines { + let lineFrame = frameForLine(line, boundingWidth: boundingWidth, alignment: alignment) + if let webpage = webpage { for imageItem in line.imageItems { if let media = media[imageItem.id] { - let item = InstantPageImageItem(frame: imageItem.frame.offsetBy(dx: lineFrame.minX + offset.x, dy: offset.y), webPage: webpage, media: InstantPageMedia(index: -1, media: media, url: nil, caption: nil, credit: nil), interactive: false, roundCorners: false, fit: false) + let item = InstantPageImageItem(frame: imageItem.frame.offsetBy(dx: lineFrame.minX + effectiveOffset.x, dy: effectiveOffset.y), webPage: webpage, media: InstantPageMedia(index: -1, media: media, url: nil, caption: nil, credit: nil), interactive: false, roundCorners: false, fit: false) additionalItems.append(item) if item.frame.minY < topInset { @@ -888,6 +1035,17 @@ func layoutTextItemWithString(_ string: NSAttributedString, boundingWidth: CGFlo } } } + for formulaItem in line.formulaItems { + let item = InstantPageTextFormulaItem(frame: formulaItem.frame.offsetBy(dx: lineFrame.minX + effectiveOffset.x, dy: effectiveOffset.y), attachment: formulaItem.attachment) + additionalItems.append(item) + + if item.frame.minY < topInset { + topInset = item.frame.minY + } + if item.frame.maxY > height { + bottomInset = max(bottomInset, item.frame.maxY - height) + } + } } if requiresScroll { diff --git a/submodules/InstantPageUI/Sources/InstantPageTextStyleStack.swift b/submodules/InstantPageUI/Sources/InstantPageTextStyleStack.swift index 413ff55840..2ab0a10df8 100644 --- a/submodules/InstantPageUI/Sources/InstantPageTextStyleStack.swift +++ b/submodules/InstantPageUI/Sources/InstantPageTextStyleStack.swift @@ -28,6 +28,7 @@ let InstantPageMarkerColorAttribute = "MarkerColorAttribute" let InstantPageMediaIdAttribute = "MediaIdAttribute" let InstantPageMediaDimensionsAttribute = "MediaDimensionsAttribute" let InstantPageAnchorAttribute = "AnchorAttribute" +let InstantPageFormulaAttribute = "FormulaAttribute" final class InstantPageTextStyleStack { private var items: [InstantPageTextStyle] = [] diff --git a/submodules/LegacyComponents/Sources/TGFont.mm b/submodules/LegacyComponents/Sources/TGFont.mm index a5d261521f..311787d42e 100644 --- a/submodules/LegacyComponents/Sources/TGFont.mm +++ b/submodules/LegacyComponents/Sources/TGFont.mm @@ -116,13 +116,9 @@ UIFont *TGFixedSystemFontOfSize(CGFloat size) + (UIFont *)roundedFontOfSize:(CGFloat)size { - if (@available(iOSApplicationExtension 13.0, iOS 13.0, *)) { - UIFontDescriptor *descriptor = [UIFont boldSystemFontOfSize:size].fontDescriptor; - descriptor = [descriptor fontDescriptorWithDesign:UIFontDescriptorSystemDesignRounded]; - return [UIFont fontWithDescriptor:descriptor size:size]; - } else { - return [UIFont fontWithName:@".SFCompactRounded-Semibold" size:size]; - } + UIFontDescriptor *descriptor = [UIFont boldSystemFontOfSize:size].fontDescriptor; + descriptor = [descriptor fontDescriptorWithDesign:UIFontDescriptorSystemDesignRounded]; + return [UIFont fontWithDescriptor:descriptor size:size]; } @end diff --git a/submodules/TelegramCore/FlatSerialization/Models/InstantPageBlock.fbs b/submodules/TelegramCore/FlatSerialization/Models/InstantPageBlock.fbs index ec3372afa1..091afbd2e0 100644 --- a/submodules/TelegramCore/FlatSerialization/Models/InstantPageBlock.fbs +++ b/submodules/TelegramCore/FlatSerialization/Models/InstantPageBlock.fbs @@ -35,7 +35,8 @@ union InstantPageBlock_Value { InstantPageBlock_Details, InstantPageBlock_RelatedArticles, InstantPageBlock_Map, - InstantPageBlock_Heading + InstantPageBlock_Heading, + InstantPageBlock_Formula } table InstantPageBlock { @@ -191,6 +192,10 @@ table InstantPageBlock_Heading { level:int32 (id: 1); } +table InstantPageBlock_Formula { + latex:string (id: 0, required); +} + table InstantPageCaption { text:RichText (id: 0, required); credit:RichText (id: 1, required); diff --git a/submodules/TelegramCore/FlatSerialization/Models/RichText.fbs b/submodules/TelegramCore/FlatSerialization/Models/RichText.fbs index 7a1da32aff..564cd98ce2 100644 --- a/submodules/TelegramCore/FlatSerialization/Models/RichText.fbs +++ b/submodules/TelegramCore/FlatSerialization/Models/RichText.fbs @@ -19,7 +19,8 @@ union RichText_Value { RichText_Marked, RichText_Phone, RichText_Image, - RichText_Anchor + RichText_Anchor, + RichText_Formula } table RichText { @@ -92,4 +93,8 @@ table RichText_Image { table RichText_Anchor { text:RichText (id: 0, required); name:string (id: 1, required); -} \ No newline at end of file +} + +table RichText_Formula { + latex:string (id: 0, required); +} diff --git a/submodules/TelegramCore/Sources/SyncCore/SyncCore_InstantPage.swift b/submodules/TelegramCore/Sources/SyncCore/SyncCore_InstantPage.swift index 83072ffdf0..0e0574d48b 100644 --- a/submodules/TelegramCore/Sources/SyncCore/SyncCore_InstantPage.swift +++ b/submodules/TelegramCore/Sources/SyncCore/SyncCore_InstantPage.swift @@ -33,6 +33,7 @@ private enum InstantPageBlockType: Int32 { case relatedArticles = 26 case map = 27 case heading = 28 + case formula = 29 } private func decodeListItems(_ decoder: PostboxDecoder) -> [InstantPageListItem] { @@ -62,6 +63,7 @@ public indirect enum InstantPageBlock: PostboxCoding, Equatable { case header(RichText) case subheader(RichText) case heading(text: RichText, level: Int32) + case formula(latex: String) case paragraph(RichText) case preformatted(text: RichText, language: String?) case footer(RichText) @@ -101,6 +103,8 @@ public indirect enum InstantPageBlock: PostboxCoding, Equatable { self = .subheader(decoder.decodeObjectForKey("t", decoder: { RichText(decoder: $0) }) as! RichText) case InstantPageBlockType.heading.rawValue: self = .heading(text: decoder.decodeObjectForKey("t", decoder: { RichText(decoder: $0) }) as! RichText, level: decoder.decodeInt32ForKey("l", orElse: 3)) + case InstantPageBlockType.formula.rawValue: + self = .formula(latex: decoder.decodeStringForKey("l", orElse: "")) case InstantPageBlockType.paragraph.rawValue: self = .paragraph(decoder.decodeObjectForKey("t", decoder: { RichText(decoder: $0) }) as! RichText) case InstantPageBlockType.preformatted.rawValue: @@ -195,6 +199,9 @@ public indirect enum InstantPageBlock: PostboxCoding, Equatable { encoder.encodeInt32(InstantPageBlockType.heading.rawValue, forKey: "r") encoder.encodeObject(text, forKey: "t") encoder.encodeInt32(level, forKey: "l") + case let .formula(latex): + encoder.encodeInt32(InstantPageBlockType.formula.rawValue, forKey: "r") + encoder.encodeString(latex, forKey: "l") case let .paragraph(text): encoder.encodeInt32(InstantPageBlockType.paragraph.rawValue, forKey: "r") encoder.encodeObject(text, forKey: "t") @@ -396,6 +403,12 @@ public indirect enum InstantPageBlock: PostboxCoding, Equatable { } else { return false } + case let .formula(lhsLatex): + if case let .formula(rhsLatex) = rhs, lhsLatex == rhsLatex { + return true + } else { + return false + } case let .paragraph(text): if case .paragraph(text) = rhs { return true @@ -572,6 +585,11 @@ public indirect enum InstantPageBlock: PostboxCoding, Equatable { throw FlatBuffersError.missingRequiredField() } self = .heading(text: try RichText(flatBuffersObject: value.text), level: value.level) + case .instantpageblockFormula: + guard let value = flatBuffersObject.value(type: TelegramCore_InstantPageBlock_Formula.self) else { + throw FlatBuffersError.missingRequiredField() + } + self = .formula(latex: value.latex) case .instantpageblockParagraph: guard let value = flatBuffersObject.value(type: TelegramCore_InstantPageBlock_Paragraph.self) else { throw FlatBuffersError.missingRequiredField() @@ -732,6 +750,12 @@ public indirect enum InstantPageBlock: PostboxCoding, Equatable { TelegramCore_InstantPageBlock_Heading.add(text: textOffset, &builder) TelegramCore_InstantPageBlock_Heading.add(level: level, &builder) offset = TelegramCore_InstantPageBlock_Heading.endInstantPageBlock_Heading(&builder, start: start) + case let .formula(latex): + valueType = .instantpageblockFormula + let latexOffset = builder.create(string: latex) + let start = TelegramCore_InstantPageBlock_Formula.startInstantPageBlock_Formula(&builder) + TelegramCore_InstantPageBlock_Formula.add(latex: latexOffset, &builder) + offset = TelegramCore_InstantPageBlock_Formula.endInstantPageBlock_Formula(&builder, start: start) case let .paragraph(text): valueType = .instantpageblockParagraph let textOffset = text.encodeToFlatBuffers(builder: &builder) diff --git a/submodules/TelegramCore/Sources/SyncCore/SyncCore_RichText.swift b/submodules/TelegramCore/Sources/SyncCore/SyncCore_RichText.swift index 69311fda00..cce0025996 100644 --- a/submodules/TelegramCore/Sources/SyncCore/SyncCore_RichText.swift +++ b/submodules/TelegramCore/Sources/SyncCore/SyncCore_RichText.swift @@ -19,6 +19,7 @@ private enum RichTextTypes: Int32 { case phone = 13 case image = 14 case anchor = 15 + case formula = 16 } public indirect enum RichText: PostboxCoding, Equatable { @@ -38,6 +39,7 @@ public indirect enum RichText: PostboxCoding, Equatable { case phone(text: RichText, phone: String) case image(id: MediaId, dimensions: PixelDimensions) case anchor(text: RichText, name: String) + case formula(latex: String) public init(decoder: PostboxDecoder) { switch decoder.decodeInt32ForKey("r", orElse: 0) { @@ -79,6 +81,8 @@ public indirect enum RichText: PostboxCoding, Equatable { self = .image(id: MediaId(namespace: decoder.decodeInt32ForKey("i.n", orElse: 0), id: decoder.decodeInt64ForKey("i.i", orElse: 0)), dimensions: PixelDimensions(width: decoder.decodeInt32ForKey("sw", orElse: 0), height: decoder.decodeInt32ForKey("sh", orElse: 0))) case RichTextTypes.anchor.rawValue: self = .anchor(text: decoder.decodeObjectForKey("t", decoder: { RichText(decoder: $0) }) as! RichText, name: decoder.decodeStringForKey("n", orElse: "")) + case RichTextTypes.formula.rawValue: + self = .formula(latex: decoder.decodeStringForKey("l", orElse: "")) default: self = .empty } @@ -147,6 +151,9 @@ public indirect enum RichText: PostboxCoding, Equatable { encoder.encodeInt32(RichTextTypes.anchor.rawValue, forKey: "r") encoder.encodeObject(text, forKey: "t") encoder.encodeString(name, forKey: "n") + case let .formula(latex): + encoder.encodeInt32(RichTextTypes.formula.rawValue, forKey: "r") + encoder.encodeString(latex, forKey: "l") } } @@ -248,6 +255,12 @@ public indirect enum RichText: PostboxCoding, Equatable { } else { return false } + case let .formula(lhsLatex): + if case let .formula(rhsLatex) = rhs, lhsLatex == rhsLatex { + return true + } else { + return false + } } } } @@ -291,6 +304,8 @@ public extension RichText { return "" case let .anchor(text, _): return text.plainText + case let .formula(latex): + return latex } } } @@ -378,6 +393,11 @@ extension RichText { } self = .anchor(text: try RichText(flatBuffersObject: value.text), name: value.name) + case .richtextFormula: + guard let value = flatBuffersObject.value(type: TelegramCore_RichText_Formula.self) else { + throw FlatBuffersError.missingRequiredField() + } + self = .formula(latex: value.latex) case .none_: self = .empty } @@ -494,6 +514,12 @@ extension RichText { TelegramCore_RichText_Anchor.add(text: textOffset, &builder) TelegramCore_RichText_Anchor.add(name: nameOffset, &builder) offset = TelegramCore_RichText_Anchor.endRichText_Anchor(&builder, start: start) + case let .formula(latex): + valueType = .richtextFormula + let latexOffset = builder.create(string: latex) + let start = TelegramCore_RichText_Formula.startRichText_Formula(&builder) + TelegramCore_RichText_Formula.add(latex: latexOffset, &builder) + offset = TelegramCore_RichText_Formula.endRichText_Formula(&builder, start: start) } return TelegramCore_RichText.createRichText(&builder, valueType: valueType, 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a/third-party/SwiftMath/Sources/mathFonts.bundle/GUST-FONT-LICENSE.txt b/third-party/SwiftMath/Sources/mathFonts.bundle/GUST-FONT-LICENSE.txt new file mode 100755 index 0000000000..60b55002ee --- /dev/null +++ b/third-party/SwiftMath/Sources/mathFonts.bundle/GUST-FONT-LICENSE.txt @@ -0,0 +1,30 @@ +% This is a preliminary version (2006-09-30), barring acceptance from +% the LaTeX Project Team and other feedback, of the GUST Font License. +% (GUST is the Polish TeX Users Group, http://www.gust.org.pl) +% +% For the most recent version of this license see +% http://www.gust.org.pl/fonts/licenses/GUST-FONT-LICENSE.txt +% or +% http://tug.org/fonts/licenses/GUST-FONT-LICENSE.txt +% +% This work may be distributed and/or modified under the conditions +% of the LaTeX Project Public License, either version 1.3c of this +% license or (at your option) any later version. +% +% Please also observe the following clause: +% 1) it is requested, but not legally required, that derived works be +% distributed only after changing the names of the fonts comprising this +% work and given in an accompanying "manifest", and that the +% files comprising the Work, as listed in the manifest, also be given +% new names. Any exceptions to this request are also given in the +% manifest. +% +% We recommend the manifest be given in a separate file named +% MANIFEST-.txt, where is some unique identification +% of the font family. 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zMD7G{V(rAXiOPw669*=aPY5PDC;BEXOkAG0J@Nn46epn&0ALt~kt8YEauJe}q$y2u zk%WWNP!vK+;-ZF9iYX~eO18vdrW}X^Q4$F$iGyWo{_kH#O0wN-NlBu}dw8GQz*FEY z@J-6Iaw6rU`~y6nlhT*v_;+8qk}r3UR}{GJ MTMathUILabel { + let view = MTMathUILabel() + view.setContentHuggingPriority(.required, for: .vertical) + view.setContentCompressionResistancePriority(.required, for: .vertical) + return view + } + + func updateUIView(_ view: MTMathUILabel, context: Context) { + view.latex = equation + let font = MTFontManager().font(withName: font.rawValue, size: fontSize) + font?.fallbackFont = UIFont.systemFont(ofSize: fontSize) + view.font = font + view.textAlignment = textAlignment + view.labelMode = labelMode + view.textColor = MTColor(Color.primary) + view.contentInsets = insets + view.invalidateIntrinsicContentSize() + } + + func sizeThatFits(_ proposal: ProposedViewSize, uiView: MTMathUILabel, context: Context) -> CGSize? { + // Enable line wrapping by passing proposed width to the label + if let width = proposal.width, width.isFinite, width > 0 { + uiView.preferredMaxLayoutWidth = width + let size = uiView.sizeThatFits(CGSize(width: width, height: .greatestFiniteMagnitude)) + return size + } + return nil + } +} +``` + +For code that works with SwiftUI running natively under MacOS use the following: + +```swift +import SwiftUI +import SwiftMath + +struct MathView: NSViewRepresentable { + var equation: String + var font: MathFont = .latinModernFont + var textAlignment: MTTextAlignment = .center + var fontSize: CGFloat = 30 + var labelMode: MTMathUILabelMode = .text + var insets: MTEdgeInsets = MTEdgeInsets() + + func makeNSView(context: Context) -> MTMathUILabel { + let view = MTMathUILabel() + view.setContentHuggingPriority(.required, for: .vertical) + view.setContentCompressionResistancePriority(.required, for: .vertical) + return view + } + + func updateNSView(_ view: MTMathUILabel, context: Context) { + view.latex = equation + let font = MTFontManager().font(withName: font.rawValue, size: fontSize) + font?.fallbackFont = NSFont.systemFont(ofSize: fontSize) + view.font = font + view.textAlignment = textAlignment + view.labelMode = labelMode + view.textColor = MTColor(Color.primary) + view.contentInsets = insets + view.invalidateIntrinsicContentSize() + } + + func sizeThatFits(_ proposal: ProposedViewSize, nsView: MTMathUILabel, context: Context) -> CGSize? { + // Enable line wrapping by passing proposed width to the label + if let width = proposal.width, width.isFinite, width > 0 { + nsView.preferredMaxLayoutWidth = width + let size = nsView.sizeThatFits(CGSize(width: width, height: .greatestFiniteMagnitude)) + return size + } + return nil + } +} +``` + +### Automatic Line Wrapping + +`SwiftMath` supports automatic line wrapping (multiline display) for mathematical content. The implementation uses **interatom line breaking** which breaks equations at atom boundaries (between mathematical elements) rather than within them, preserving the semantic structure of the mathematics. + +#### Using Line Wrapping with UIKit/AppKit + +For direct `MTMathUILabel` usage, set the `preferredMaxLayoutWidth` property: + +```swift +let label = MTMathUILabel() +label.latex = "\\text{Calculer le discriminant }\\Delta=b^{2}-4ac\\text{ avec }a=1\\text{, }b=-1\\text{, }c=-5" +label.font = MTFontManager.fontManager.defaultFont + +// Enable line wrapping by setting a maximum width +label.preferredMaxLayoutWidth = 235 +``` + +You can also use `sizeThatFits` to calculate the size with a width constraint: + +```swift +let constrainedSize = label.sizeThatFits(CGSize(width: 235, height: .greatestFiniteMagnitude)) +``` + +#### Using Line Wrapping with SwiftUI + +The `MathView` examples above include `sizeThatFits()` which automatically enables line wrapping when SwiftUI proposes a width constraint. No additional configuration is needed: + +```swift +VStack(alignment: .leading, spacing: 8) { + MathView( + equation: "\\text{Calculer le discriminant }\\Delta=b^{2}-4ac\\text{ avec }a=1\\text{, }b=-1\\text{, }c=-5", + fontSize: 17, + labelMode: .text + ) +} +.frame(maxWidth: 235) // The equation will break across multiple lines +``` + +#### Line Wrapping Behavior and Capabilities + +SwiftMath implements **two complementary line breaking mechanisms**: + +##### 1. Interatom Line Breaking (Primary) +Breaks equations **between atoms** (mathematical elements) when content exceeds the width constraint. This is the preferred method as it maintains semantic integrity. + +##### 2. Universal Line Breaking (Fallback) +For very long text within single atoms, breaks at Unicode word boundaries using Core Text with number protection (prevents splitting numbers like "3.14"). + +See `MULTILINE_IMPLEMENTATION_NOTES.md` for implementation details and recent changes. + +#### Fully Supported Cases + +These atom types work perfectly with interatom line breaking: + +**✅ Variables and ordinary text:** +```swift +label.latex = "a b c d e f g h i j k l m n o p" +label.preferredMaxLayoutWidth = 150 +// Breaks between individual variables at natural boundaries +``` + +**✅ Binary operators (+, -, ×, ÷):** +```swift +label.latex = "a+b+c+d+e+f+g+h" +label.preferredMaxLayoutWidth = 100 +// Breaks cleanly: "a+b+c+d+" +// "e+f+g+h" +``` + +**✅ Relations (=, <, >, ≤, ≥, etc.):** +```swift +label.latex = "a=1, b=2, c=3, d=4, e=5" +label.preferredMaxLayoutWidth = 120 +// Breaks after commas and operators +``` + +**✅ Mixed text and simple math:** +```swift +label.latex = "\\text{Calculer }\\Delta=b^{2}-4ac\\text{ avec }a=1\\text{, }b=-1" +label.preferredMaxLayoutWidth = 200 +// Breaks between text and math atoms naturally +``` + +**✅ Punctuation (commas, periods):** +```swift +label.latex = "\\text{First, second, third, fourth, fifth}" +label.preferredMaxLayoutWidth = 150 +// Breaks at commas and spaces +``` + +**✅ Brackets and parentheses (simple):** +```swift +label.latex = "(a+b)+(c+d)+(e+f)" +label.preferredMaxLayoutWidth = 120 +// Breaks between parenthesized groups +``` + +**✅ Greek letters and symbols:** +```swift +label.latex = "\\alpha+\\beta+\\gamma+\\delta+\\epsilon+\\zeta" +label.preferredMaxLayoutWidth = 150 +// Breaks between Greek letters +``` + +**✅ Fractions (NEW!):** +```swift +label.latex = "a+\\frac{1}{2}+b+\\frac{3}{4}+c" +label.preferredMaxLayoutWidth = 150 +// Fractions stay inline if they fit, break to new line only when needed +// Example: "a + ½ + b" stays on one line if it fits +``` + +**✅ Radicals/Square roots (NEW!):** +```swift +label.latex = "x+\\sqrt{2}+y+\\sqrt{3}+z" +label.preferredMaxLayoutWidth = 150 +// Radicals stay inline if they fit, break to new line only when needed +// Example: "x + √2 + y" stays on one line if it fits +``` + +**✅ Mixed fractions and radicals (NEW!):** +```swift +label.latex = "a+\\frac{1}{2}+\\sqrt{3}+b" +label.preferredMaxLayoutWidth = 200 +// Breaks between complex mathematical elements +``` + +#### Limited Support Cases + +These cases work but with some constraints: + +**✅ Large operators (NEW!):** +```swift +label.latex = "a + \\sum_{i=1}^{n} x_i + \\int_{0}^{1} f(x)dx + b" +label.preferredMaxLayoutWidth = 200 +// Large operators stay inline when they fit! +// Includes height checking for operators with limits +``` + +**✅ Delimited expressions (NEW!):** +```swift +label.latex = "(a+b) + \\left(\\frac{c}{d}\\right) + e" +label.preferredMaxLayoutWidth = 200 +// Delimiters stay inline when they fit! +// Inner content respects width constraints and wraps naturally +``` + +**✅ Colored expressions (NEW!):** +```swift +label.latex = "a + \\color{red}{b + c + d} + e" +label.preferredMaxLayoutWidth = 200 +// Colored sections stay inline when they fit! +// Inner content respects width constraints and wraps properly +``` + +**✅ Matrices/tables (NEW!):** +```swift +label.latex = "A = \\begin{pmatrix} 1 & 2 \\end{pmatrix} + B" +label.preferredMaxLayoutWidth = 200 +// Small matrices stay inline when they fit! +``` + +**✅ Atoms with superscripts/subscripts (IMPROVED!):** +```swift +label.latex = "a^{2}+b^{2}+c^{2}+d^{2}+e^{2}" +label.preferredMaxLayoutWidth = 150 +// Now works with width-based breaking! +// Scripted atoms participate in smart line breaking decisions +``` + +**✅ Math accents:** +```swift +label.latex = "\\hat{x} + \\tilde{y} + \\bar{z} + \\vec{w}" +label.preferredMaxLayoutWidth = 150 +// Common accents (\hat, \tilde, \bar, \vec) work well +// Vector arrows (\overrightarrow, etc.) supported with stretching +``` + +**⚠️ Very long single text atoms:** +```swift +label.latex = "\\text{This is an extremely long piece of text within a single text command}" +label.preferredMaxLayoutWidth = 200 +// Uses Unicode word boundary breaking with Core Text +// Protects numbers from being split (e.g., "3.14" stays together) +``` +**Note**: Breaks within the text atom rather than between atoms, which is expected behavior for very long continuous text. + +#### Best Practices + +**DO:** +- Use interatom breaking for simple equations with operators and relations +- Use for mixed text and math where you want natural breaks +- Use for long sequences of variables, numbers, and operators +- Set appropriate `preferredMaxLayoutWidth` based on your layout needs + +**DON'T:** +- Expect natural breaking in expressions with large operators (∑, ∫, etc. - not yet optimized) +- Expect natural breaking in expressions with \left...\right delimiters (not yet optimized) +- Use extremely narrow widths (less than ~80pt) which may cause poor breaks + +#### Examples + +**Excellent use case (discriminant formula):** +```swift +label.latex = "\\text{Calculer le discriminant }\\Delta=b^{2}-4ac\\text{ avec }a=1\\text{, }b=-1\\text{, }c=-5" +label.preferredMaxLayoutWidth = 235 +// ✅ Breaks naturally at good points between atoms +``` + +**Good use case (simple arithmetic):** +```swift +label.latex = "5+10+15+20+25+30+35+40+45+50" +label.preferredMaxLayoutWidth = 150 +// ✅ Breaks between operators cleanly +``` + +**Excellent use case (fractions inline - NEW!):** +```swift +label.latex = "a+\\frac{1}{2}+b+\\frac{3}{4}+c" +label.preferredMaxLayoutWidth = 200 +// ✅ Fractions stay inline when they fit! +// Breaks: "a + ½ + b" on line 1, "+ ¾ + c" on line 2 +``` + +**Excellent use case (radicals inline - NEW!):** +```swift +label.latex = "x+\\sqrt{2}+y+\\sqrt{3}+z" +label.preferredMaxLayoutWidth = 150 +// ✅ Radicals stay inline when they fit! +// Example: "x + √2 + y" on line 1, "+ √3 + z" on line 2 +``` + +**Alternative for complex expressions:** +```swift +// Instead of trying to break this: +label.latex = "x = \\frac{-b \\pm \\sqrt{b^2-4ac}}{2a}" +// Consider it as a single display equation without width constraint +label.preferredMaxLayoutWidth = 0 // No breaking +``` + +#### Technical Details + +- **Line spacing**: Dynamic line height based on actual content (tall fractions get more space, regular content stays compact) +- **Breaking algorithm**: Greedy with look-ahead and break quality scoring - prefers breaking after operators over other positions +- **Width calculation**: Includes inter-element spacing according to TeX spacing rules +- **Number protection**: Numbers in patterns like "3.14", "1,000", etc. are kept intact +- **Supports locales**: English, French, Swiss number formats +- **Advanced features**: Tokenization infrastructure with phase-based processing (preprocessing → tokenization → line fitting → display generation) + +For complete implementation details including recent improvements (dynamic line height, break quality scoring, early exit optimization), see [MULTILINE_IMPLEMENTATION_NOTES.md](MULTILINE_IMPLEMENTATION_NOTES.md). + +### Included Features +This is a list of formula types that the library currently supports: + +* Simple algebraic equations +* Fractions and continued fractions (including `\frac`, `\dfrac`, `\tfrac`, `\cfrac`) +* Exponents and subscripts +* Trigonometric formulae (including inverse hyperbolic: `\arcsinh`, `\arccosh`, etc.) +* Square roots and n-th roots +* Calculus symbols - limits, derivatives, integrals (including `\iint`, `\iiint`, `\iiiint`) +* Big operators (e.g. product, sum) +* Big delimiters (using `\left` and `\right`) +* Manual delimiter sizing (`\big`, `\Big`, `\bigg`, `\Bigg` and variants) +* Greek alphabet +* Bold Greek symbols (`\boldsymbol`) +* Combinatorics (`\binom`, `\choose` etc.) +* Geometry symbols (e.g. angle, congruence etc.) +* Ratios, proportions, percentages +* Math spacing +* Overline and underline +* Math accents (including `\hat`, `\tilde`, `\bar`, `\vec`, `\dot`, `\ddot`, etc.) +* Vector arrows (`\vec`, `\overrightarrow`, `\overleftarrow`, `\overleftrightarrow` with automatic stretching) +* Wide accents (`\widehat`, `\widetilde`) +* Operator names (`\operatorname{name}`) +* Matrices (including `\smallmatrix` and starred variants like `pmatrix*` with alignment) +* Multi-line subscripts and limits (`\substack`) +* Equation alignment +* Change bold, roman, caligraphic and other font styles (`\bf`, `\text`, etc.) +* Style commands (`\displaystyle`, `\textstyle`) +* Custom operators (`\operatorname`, `\operatorname*`) +* Dirac notation (`\bra`, `\ket`, `\braket`) +* Most commonly used math symbols +* Colors for both text and background +* **Inline and display math mode delimiters** (see below) +* **Automatic line wrapping** (see Automatic Line Wrapping section) + +### LaTeX Math Delimiters + +`SwiftMath` now supports all standard LaTeX math delimiters for both inline and display modes. The parser automatically detects and handles these delimiters: + +#### Inline Math (Text Style) +Use these delimiters for inline math within text, which renders more compactly: + +```swift +// Dollar signs (TeX style) +label.latex = "$E = mc^2$" + +// Parentheses (LaTeX style) +label.latex = "\\(\\sum_{i=1}^{n} x_i\\)" + +// Cases environment in inline mode +label.latex = "\\(\\begin{cases} x + y = 5 \\\\ 2x - y = 1 \\end{cases}\\)" +``` + +#### Display Math (Display Style) +Use these delimiters for standalone equations with larger operators and limits: + +```swift +// Double dollar signs (TeX style) +label.latex = "$$\\int_{0}^{\\infty} e^{-x^2} dx = \\frac{\\sqrt{\\pi}}{2}$$" + +// Square brackets (LaTeX style) +label.latex = "\\[\\sum_{k=1}^{n} k^2 = \\frac{n(n+1)(2n+1)}{6}\\]" + +// Equation environment +label.latex = "\\begin{equation} x^2 + y^2 = z^2 \\end{equation}" + +// Cases environment in display mode +label.latex = "\\begin{cases} x + y = 5 \\\\ 2x - y = 1 \\end{cases}" +``` + +**Note:** The difference between inline and display modes: +- **Inline mode** (`$...$` or `\(...\)`) renders compactly, suitable for math within text +- **Display mode** (`$$...$$`, `\[...\]`, or environments) renders with larger operators and limits positioned above/below + +All delimiters are automatically stripped during parsing, and the math mode is set appropriately. No additional configuration is needed! + +#### Backward Compatibility +Equations without explicit delimiters continue to work as before, defaulting to display mode: + +```swift +label.latex = "x = \\frac{-b \\pm \\sqrt{b^2-4ac}}{2a}" // Works as always +``` + +#### Programmatic API +For advanced use cases where you need to parse LaTeX and determine the detected style programmatically, use the `buildWithStyle` method: + +```swift +// Parse LaTeX and get both the math list and detected style +let (mathList, style) = MTMathListBuilder.buildWithStyle(fromString: "\\[x^2 + y^2 = z^2\\]") + +// style will be .display for \[...\] or $$...$$ +// style will be .text for \(...\) or $...$ + +// Create a display with the detected style +if let mathList = mathList { + let display = MTTypesetter.createLineForMathList(mathList, font: myFont, style: style) + // Use the display for rendering +} +``` + +This is particularly useful when building custom renderers or when you need to respect the user's choice of delimiter style. + +Note: SwiftMath only supports the commands in LaTeX's math mode. There is +also no language support for other than west European langugages and some +Cyrillic characters. There would be two ways to support more languages: + +1) Find a math font compatible with `SwiftMath` that contains all the glyphs +for that language. +2) Add support to `SwiftMath` for standard Unicode fonts that contain all +langauge glyphs. + +Of these two, the first is much easier. However, if you want a challenge, +try to tackle the second option. + +### Example + +The [SwiftMathDemo](https://github.com/mgriebling/SwiftMathDemo) is a SwiftUI version +of the Objective-C demo included in `iosMath` that uses `SwiftMath` as a Swift package dependency. + +### Advanced configuration + +`MTMathUILabel` supports some advanced configuration options: + +##### Math mode + +You can change the mode of the `MTMathUILabel` between Display Mode +(equivalent to `$$` or `\[` in LaTeX) and Text Mode (equivalent to `$` +or `\(` in LaTeX). The default style is Display. To switch to Text +simply: + +```swift +label.labelMode = .text +``` + +##### Text Alignment +The default alignment of the equations is left. This can be changed to +center or right as follows: + +```swift +label.textAlignment = .center +``` + +##### Font size +The default font-size is 30pt. You can change it as follows: + +```swift +label.fontSize = 25 +``` +##### Font +The default font is *Latin Modern Math*. This can be changed as: + +```swift +label.font = MTFontManager.fontmanager.termesFont(withSize:20) +``` + +This project has 12 fonts bundled with it, but you can use any OTF math +font. A python script is included that generates the `.plist` files +required for an `.otf` font to work with `SwiftMath`. If you generate +(and test) any other fonts please contribute them back to this project for +others to benefit. + + + +Note: The `KpMath-Light`, `KpMath-Sans`, `Asana` fonts currently incorrectly +render very large radicals. It appears that the font files do +not properly define the offsets required to typeset these glyphs. If +anyone can fix this, it would be greatly appreciated. + +##### Text Color +The default color of the rendered equation is black. You can change +it to any other color as follows: + +```swift +label.textColor = .red +``` + +It is also possible to set different colors for different parts of the +equation. Just access the `displayList` field and set the `textColor` +of the underlying displays of which you want to change the color. + +##### Fallback Font for Unicode Text +By default, math fonts only support a limited set of characters (Latin, Greek, common math symbols). +To display other Unicode characters like Chinese, Japanese, Korean, emoji, or other scripts in `\text{}` +commands, you can configure a fallback font: + +```swift +let mathFont = MTFontManager().font(withName: MathFont.latinModernFont.rawValue, size: 30) + +// Set a fallback font for unsupported characters (defaults to nil) +#if os(iOS) || os(visionOS) +let systemFont = UIFont.systemFont(ofSize: 30) +mathFont?.fallbackFont = CTFontCreateWithName(systemFont.fontName as CFString, 30, nil) +#elseif os(macOS) +let systemFont = NSFont.systemFont(ofSize: 30) +mathFont?.fallbackFont = CTFontCreateWithName(systemFont.fontName as CFString, 30, nil) +#endif + +label.font = mathFont +label.latex = "\\text{Hello 世界 🌍}" // English, Chinese, and emoji +``` + +When the main math font doesn't contain a glyph for a character, the fallback font will be used automatically. +This is particularly useful for: +- Chinese text: `\text{中文}` +- Japanese text: `\text{日本語}` +- Korean text: `\text{한국어}` +- Emoji: `\text{Math is fun! 🎉📐}` +- Mixed scripts: `\text{Equation: 方程式}` + +**Note**: The fallback font only applies to characters within `\text{}` commands, not regular math mode. + +##### Custom Commands +You can define your own commands that are not already predefined. This is +similar to macros is LaTeX. To define your own command use: + +```swift +MTMathAtomFactory.addLatexSymbol("lcm", value: MTMathAtomFactory.operator(withName: "lcm", limits: false)) +``` + +This creates an `\lcm` command that can be used in the LaTeX. + +##### Content Insets +The `MTMathUILabel` has `contentInsets` for finer control of placement of the +equation in relation to the view. + +If you need to set it you can do as follows: + +```swift +label.contentInsets = UIEdgeInsets(top: 0, left: 10, bottom: 0, right: 20) +``` + +##### Error handling + +If the LaTeX text given to `MTMathUILabel` is +invalid or if it contains commands that aren't currently supported then +an error message will be displayed instead of the label. + +This error can be programmatically retrieved as `label.error`. If you +prefer not to display anything then set: + +```swift +label.displayErrorInline = true +``` + +## Future Enhancements + +Note this is not a complete implementation of LaTeX math mode. There are +some pieces that are missing and may be included in future updates: + +* `\middle` delimiter for use between `\left` and `\right` +* Some fine spacing commands (`\:`, `\;`, `\!` - note that `\,` works) + +For a complete list of features and their implementation status, see [MISSING_FEATURES.md](MISSING_FEATURES.md). + +## License + +`SwiftMath` is available under the MIT license. See the [LICENSE](./LICENSE) +file for more info. + +### Fonts +This distribution contains the following fonts. These fonts are +licensed as follows: +* Latin Modern Math: + [GUST Font License](GUST-FONT-LICENSE.txt) +* Tex Gyre Termes: + [GUST Font License](GUST-FONT-LICENSE.txt) +* [XITS Math](https://github.com/khaledhosny/xits-math): + [Open Font License](OFL.txt) +* [KpMath Light/KpMath Sans](http://scripts.sil.org/OFL): + [SIL Open Font License](OFL.txt) diff --git a/third-party/SwiftMath/Sources/MathBundle/MTFontMathTableV2.swift b/third-party/SwiftMath/Sources/MathBundle/MTFontMathTableV2.swift new file mode 100755 index 0000000000..beb2320aa0 --- /dev/null +++ b/third-party/SwiftMath/Sources/MathBundle/MTFontMathTableV2.swift @@ -0,0 +1,194 @@ +// +// MTFontMathTableV2.swift +// +// +// Created by Peter Tang on 15/9/2023. +// + +import Foundation +import CoreGraphics +import CoreText + +internal class MTFontMathTableV2: MTFontMathTable { + private let mathFont: MathFont + private let fontSize: CGFloat + private let unitsPerEm: UInt + private let mTable: NSDictionary + init(mathFont: MathFont, size: CGFloat, unitsPerEm: UInt) { + self.mathFont = mathFont + self.fontSize = size + self.unitsPerEm = unitsPerEm + mTable = mathFont.rawMathTable() + super.init(withFont: mathFont.mtfont(size: fontSize), mathTable: mTable) + super._mathTable = nil + // disable all possible access to _mathTable in superclass! + } + override var _mathTable: NSDictionary? { + set { fatalError("\(#function) change to _mathTable \(mathFont.rawValue) not allowed.") } + get { mTable } + } + override var muUnit: CGFloat { fontSize/18 } + + override func fontUnitsToPt(_ fontUnits:Int) -> CGFloat { + CGFloat(fontUnits) * fontSize / CGFloat(unitsPerEm) + } + override func constantFromTable(_ constName: String) -> CGFloat { + guard let consts = mTable[kConstants] as? NSDictionary, let val = consts[constName] as? NSNumber else { + return .zero + } + return fontUnitsToPt(val.intValue) + } + override func percentFromTable(_ percentName: String) -> CGFloat { + guard let consts = mTable[kConstants] as? NSDictionary, let val = consts[percentName] as? NSNumber else { + return .zero + } + return CGFloat(val.floatValue) / 100 + } + /** Returns an Array of all the vertical variants of the glyph if any. If + there are no variants for the glyph, the array contains the given glyph. */ + override func getVerticalVariantsForGlyph(_ glyph: CGGlyph) -> [NSNumber?] { + guard let variants = mTable[kVertVariants] as? NSDictionary else { return [] } + return self.getVariantsForGlyph(glyph, inDictionary: variants) + } + /** Returns an Array of all the horizontal variants of the glyph if any. If + there are no variants for the glyph, the array contains the given glyph. */ + override func getHorizontalVariantsForGlyph(_ glyph: CGGlyph) -> [NSNumber?] { + guard let variants = mTable[kHorizVariants] as? NSDictionary else { return [] } + return self.getVariantsForGlyph(glyph, inDictionary:variants) + } + override func getVariantsForGlyph(_ glyph: CGGlyph, inDictionary variants: NSDictionary) -> [NSNumber?] { + let font = mathFont.mtfont(size: fontSize) + let glyphName = font.get(nameForGlyph: glyph) + + var glyphArray = [NSNumber]() + let variantGlyphs = variants[glyphName] as? NSArray + + guard let variantGlyphs = variantGlyphs, variantGlyphs.count != .zero else { + // There are no extra variants, so just add the current glyph to it. + let glyph = font.get(glyphWithName: glyphName) + glyphArray.append(NSNumber(value:glyph)) + return glyphArray + } + for gvn in variantGlyphs { + if let glyphVariantName = gvn as? String { + let variantGlyph = font.get(glyphWithName: glyphVariantName) + glyphArray.append(NSNumber(value:variantGlyph)) + } + } + return glyphArray + } + /** Returns a larger vertical variant of the given glyph if any. + If there is no larger version, this returns the current glyph. + + - Parameter glyph: The glyph to find a larger variant for + - Parameter forDisplayStyle: If true, selects the largest appropriate variant for display style. + If false, selects the next larger variant (incremental sizing). + - Returns: A larger glyph variant, or the original glyph if no variants exist + */ + override func getLargerGlyph(_ glyph: CGGlyph, forDisplayStyle: Bool = false) -> CGGlyph { + let font = mathFont.mtfont(size: fontSize) + let glyphName = font.get(nameForGlyph: glyph) + + guard let variants = mTable[kVertVariants] as? NSDictionary, + let variantGlyphs = variants[glyphName] as? NSArray, variantGlyphs.count != .zero else { + // There are no extra variants, so just returnt the current glyph. + return glyph + } + + if forDisplayStyle { + // For display style, select a large variant suitable for mathematical display mode + // Display integrals should be significantly larger (~2.2em) for visual prominence + let count = variantGlyphs.count + + // Strategy: Use the largest variant, but avoid extreme sizes for fonts with many variants + let targetIndex: Int + if count <= 2 { + // Small variant list: use the last one (e.g., integral.size1 at ~2.2em) + targetIndex = count - 1 + } else if count <= 4 { + // Medium variant list: use second-to-last to avoid extremes + targetIndex = count - 2 + } else { + // Large variant list (like texgyretermes with 6 variants): + // Use variant at ~60% position to get appropriate display size (~2.0em) + // For 7 variants (0-6), this gives index 4 + targetIndex = min(count - 2, Int(Double(count) * 0.6)) + } + + if let glyphVariantName = variantGlyphs[targetIndex] as? String { + let variantGlyph = font.get(glyphWithName: glyphVariantName) + return variantGlyph + } + } else { + // Text/inline style: use incremental sizing for moderate enlargement + // Find the first variant with a different name + for gvn in variantGlyphs { + if let glyphVariantName = gvn as? String, glyphVariantName != glyphName { + let variantGlyph = font.get(glyphWithName: glyphVariantName) + return variantGlyph + } + } + } + + // We did not find any variants of this glyph so return it. + return glyph + } + /** Returns the italic correction for the given glyph if any. If there + isn't any this returns 0. */ + override func getItalicCorrection(_ glyph: CGGlyph) -> CGFloat { + let font = mathFont.mtfont(size: fontSize) + let glyphName = font.get(nameForGlyph: glyph) + + guard let italics = mTable[kItalic] as? NSDictionary, let val = italics[glyphName] as? NSNumber else { + return .zero + } + // if val is nil, this returns 0. + return fontUnitsToPt(val.intValue) + } + override func getTopAccentAdjustment(_ glyph: CGGlyph) -> CGFloat { + let font = mathFont.mtfont(size: fontSize) + let glyphName = font.get(nameForGlyph: glyph) + + guard let accents = mTable[kAccents] as? NSDictionary, let val = accents[glyphName] as? NSNumber else { + // If no top accent is defined then it is the center of the advance width. + var glyph = glyph + var advances = CGSize.zero + CTFontGetAdvancesForGlyphs(font.ctFont, .horizontal, &glyph, &advances, 1) + return advances.width/2 + } + return fontUnitsToPt(val.intValue) + } + override func getVerticalGlyphAssembly(forGlyph glyph: CGGlyph) -> [GlyphPart] { + let font = mathFont.mtfont(size: fontSize) + let glyphName = font.get(nameForGlyph: glyph) + + guard let assemblyTable = mTable[kVertAssembly] as? NSDictionary, + let assemblyInfo = assemblyTable[glyphName] as? NSDictionary, + let parts = assemblyInfo[kAssemblyParts] as? NSArray else { + // No vertical assembly defined for glyph + // parts should always have been defined, but if it isn't return nil + return [] + } + + var rv = [GlyphPart]() + for part in parts { + guard let partInfo = part as? NSDictionary, + let adv = partInfo["advance"] as? NSNumber, + let end = partInfo["endConnector"] as? NSNumber, + let start = partInfo["startConnector"] as? NSNumber, + let ext = partInfo["extender"] as? NSNumber, + let glyphName = partInfo["glyph"] as? String else { continue } + let fullAdvance = fontUnitsToPt(adv.intValue) + let endConnectorLength = fontUnitsToPt(end.intValue) + let startConnectorLength = fontUnitsToPt(start.intValue) + let isExtender = ext.boolValue + let glyph = font.get(glyphWithName: glyphName) + let part = GlyphPart(glyph: glyph, fullAdvance: fullAdvance, + startConnectorLength: startConnectorLength, + endConnectorLength: endConnectorLength, + isExtender: isExtender) + rv.append(part) + } + return rv + } +} diff --git a/third-party/SwiftMath/Sources/MathBundle/MTFontV2.swift b/third-party/SwiftMath/Sources/MathBundle/MTFontV2.swift new file mode 100755 index 0000000000..14c09a063c --- /dev/null +++ b/third-party/SwiftMath/Sources/MathBundle/MTFontV2.swift @@ -0,0 +1,68 @@ +// +// MTFontV2.swift +// +// +// Created by Peter Tang on 15/9/2023. +// + +import Foundation +import CoreGraphics +import CoreText + +extension MathFont { + public func mtfont(size: CGFloat) -> MTFontV2 { + MTFontV2(font: self, size: size) + } +} +public final class MTFontV2: MTFont { + let font: MathFont + let size: CGFloat + private let _cgFont: CGFont + private let _ctFont: CTFont + private let unitsPerEm: UInt + private var _mathTab: MTFontMathTableV2? + init(font: MathFont = .latinModernFont, size: CGFloat) { + self.font = font + self.size = size + // MathFont cgfont and ctfont are fast & threadsafe, keep a local copy is cheaper than + // handling via NSLock + self._cgFont = font.cgFont() + self._ctFont = font.ctFont(withSize: size) + self.unitsPerEm = self._ctFont.unitsPerEm + super.init() + + super.defaultCGFont = nil + super.ctFont = nil + super.mathTable = nil + super.rawMathTable = nil + } + override var defaultCGFont: CGFont! { + set { fatalError("\(#function): change to \(font.fontName) not allowed.") } + get { _cgFont } + } + override var ctFont: CTFont! { + set { fatalError("\(#function): change to \(font.fontName) not allowed.") } + get { _ctFont } + } + private let mtfontV2LockOnMathTable = NSLock() + override var mathTable: MTFontMathTable? { + set { fatalError("\(#function): change to \(font.rawValue) not allowed.") } + get { + guard _mathTab == nil else { return _mathTab } + //Note: lazy _mathTab initialization is now threadsafe. + mtfontV2LockOnMathTable.lock() + defer { mtfontV2LockOnMathTable.unlock() } + if _mathTab == nil { + _mathTab = MTFontMathTableV2(mathFont: font, size: size, unitsPerEm: unitsPerEm) + } + return _mathTab + } + } + override var rawMathTable: NSDictionary? { + set { fatalError("\(#function): change to \(font.rawValue) not allowed.") } + get { fatalError("\(#function): access to \(font.rawValue) not allowed.") } + } + public override func copy(withSize size: CGFloat) -> MTFont { + MTFontV2(font: font, size: size) + } +} diff --git a/third-party/SwiftMath/Sources/MathBundle/MathFont.swift b/third-party/SwiftMath/Sources/MathBundle/MathFont.swift new file mode 100644 index 0000000000..650d8f6ee7 --- /dev/null +++ b/third-party/SwiftMath/Sources/MathBundle/MathFont.swift @@ -0,0 +1,225 @@ +// +// MathFont.swift +// +// +// Created by Peter Tang on 10/9/2023. +// + +#if os(iOS) || os(visionOS) +import UIKit +#elseif os(macOS) +import AppKit +#endif + +/// Now available for everyone to use +public enum MathFont: String, CaseIterable, Identifiable { + + public var id: Self { self } // Makes things simpler for SwiftUI + + case latinModernFont = "latinmodern-math" + case kpMathLightFont = "KpMath-Light" + case kpMathSansFont = "KpMath-Sans" + case xitsFont = "xits-math" + case termesFont = "texgyretermes-math" + case asanaFont = "Asana-Math" + case eulerFont = "Euler-Math" + case firaFont = "FiraMath-Regular" + case notoSansFont = "NotoSansMath-Regular" + case libertinusFont = "LibertinusMath-Regular" + case garamondFont = "Garamond-Math" + case leteSansFont = "LeteSansMath" + + var fontFamilyName: String { + switch self { + case .latinModernFont: "Latin Modern Math" + case .kpMathLightFont: "KpMath" + case .kpMathSansFont: "KpMath" + case .xitsFont: "XITS Math" + case .termesFont: "TeX Gyre Termes Math" + case .asanaFont: "Asana Math" + case .eulerFont: "Euler Math" + case .firaFont: "Fira Math" + case .notoSansFont: "Noto Sans Math" + case .libertinusFont: "Libertinus Math" + case .garamondFont: "Garamond-Math" // PostScript name is "Garamond-Math", not "Garamond Math" + case .leteSansFont: "Lete Sans Math" + } + } + + var postScriptName: String { + switch self { + case .latinModernFont: "LatinModernMath-Regular" + case .kpMathLightFont: "KpMath-Light" + case .kpMathSansFont: "KpMath-Sans" + case .xitsFont: "XITSMath" + case .termesFont: "TeXGyreTermesMath-Regular" + case .asanaFont: "Asana-Math" + case .eulerFont: "Euler-Math" + case .firaFont: "FiraMath-Regular" + case .notoSansFont: "NotoSansMath-Regular" + case .libertinusFont: "LibertinusMath-Regular" + case .garamondFont: "Garamond-Math" + case .leteSansFont: "LeteSansMath" + } + } + + var fontName: String { self.rawValue } + + public func cgFont() -> CGFont { + BundleManager.manager.obtainCGFont(font: self) + } + public func ctFont(withSize size: CGFloat) -> CTFont { + BundleManager.manager.obtainCTFont(font: self, withSize: size) + } + internal func rawMathTable() -> NSDictionary { + BundleManager.manager.obtainRawMathTable(font: self) + } + + //Note: Below code are no longer supported, unable to tell if UIFont/NSFont is threadsafe, not used in SwiftMath. + // #if os(iOS) || os(visionOS) + // public func uiFont(withSize size: CGFloat) -> UIFont? { + // UIFont(name: fontName, size: size) + // } + // #endif + // #if os(macOS) + // public func nsFont(withSize size: CGFloat) -> NSFont? { + // NSFont(name: fontName, size: size) + // } + // #endif +} +internal extension CTFont { + /** The size of this font in points. */ + var fontSize: CGFloat { + CTFontGetSize(self) + } + var unitsPerEm: UInt { + return UInt(CTFontGetUnitsPerEm(self)) + } +} +private class BundleManager { + //Note: below should be lightweight and without threadsafe problem. + static internal let manager = BundleManager() + + private var cgFonts = [MathFont: CGFont]() + private var ctFonts = [CTFontSizePair: CTFont]() + private var rawMathTables = [MathFont: NSDictionary]() + + private let threadSafeQueue = DispatchQueue(label: "com.smartmath.mathfont.threadsafequeue", + qos: .userInitiated, + attributes: .concurrent) + + private func registerCGFont(mathFont: MathFont) throws { + guard let frameworkBundleURL = Bundle.main.url(forResource: "mathFonts", withExtension: "bundle"), + let resourceBundleURL = Bundle(url: frameworkBundleURL)?.path(forResource: mathFont.rawValue, ofType: "otf") else { + throw FontError.fontPathNotFound + } + guard let fontData = NSData(contentsOfFile: resourceBundleURL), let dataProvider = CGDataProvider(data: fontData) else { + throw FontError.invalidFontFile + } + guard let defaultCGFont = CGFont(dataProvider) else { + throw FontError.initFontError + } + + cgFonts[mathFont] = defaultCGFont + + /// This does not load the complete math font, it only has about half the glyphs of the full math font. + /// In particular it does not have the math italic characters which breaks our variable rendering. + /// So we first load a CGFont from the file and then convert it to a CTFont. + var errorRef: Unmanaged? = nil + guard CTFontManagerRegisterGraphicsFont(defaultCGFont, &errorRef) else { + throw FontError.registerFailed + } + let postsript = (defaultCGFont.postScriptName as? String) ?? "" + let cgfontName = (defaultCGFont.fullName as? String) ?? "" + let threadName = Thread.isMainThread ? "main" : "global" + debugPrint("mathFonts bundle resource: \(mathFont.rawValue), font: \(cgfontName), ps: \(postsript) registered on \(threadName).") + } + + private func registerMathTable(mathFont: MathFont) throws { + guard let frameworkBundleURL = Bundle.main.url(forResource: "mathFonts", withExtension: "bundle"), + let mathTablePlist = Bundle(url: frameworkBundleURL)?.url(forResource: mathFont.rawValue, withExtension:"plist") else { + throw FontError.fontPathNotFound + } + guard let rawMathTable = NSDictionary(contentsOf: mathTablePlist), + let version = rawMathTable["version"] as? String, + version == "1.3" else { + throw FontError.invalidMathTable + } + + rawMathTables[mathFont] = rawMathTable + + let threadName = Thread.isMainThread ? "main" : "global" + debugPrint("mathFonts bundle resource: \(mathFont.rawValue).plist registered on \(threadName).") + } + + private func onDemandRegistration(mathFont: MathFont) { + guard threadSafeQueue.sync(execute: { cgFonts[mathFont] }) == nil else { return } + // Note: resourceLoading is now serialized. + threadSafeQueue.sync(flags: .barrier, execute: { [weak self] in + if self?.cgFonts[mathFont] == nil { + do { + try BundleManager.manager.registerCGFont(mathFont: mathFont) + try BundleManager.manager.registerMathTable(mathFont: mathFont) + + } catch { + fatalError("MTMathFonts:\(#function) ondemand loading failed, mathFont \(mathFont.rawValue), reason \(error)") + } + } + }) + } + fileprivate func obtainCGFont(font: MathFont) -> CGFont { + onDemandRegistration(mathFont: font) + guard let cgFont = threadSafeQueue.sync(execute: { cgFonts[font] }) else { + fatalError("\(#function) unable to locate CGFont \(font.fontName)") + } + return cgFont + } + + fileprivate func obtainCTFont(font: MathFont, withSize size: CGFloat) -> CTFont { + onDemandRegistration(mathFont: font) + let fontSizePair = CTFontSizePair(font: font, size: size) + let ctFont = threadSafeQueue.sync(execute: { ctFonts[fontSizePair] }) + guard ctFont == nil else { return ctFont! } + guard let cgFont = threadSafeQueue.sync(execute: { cgFonts[font] }) else { + fatalError("\(#function) unable to locate CGFont \(font.fontName) to create CTFont") + } + //Note: ctfont creation and caching is now threadsafe. + guard threadSafeQueue.sync(execute: { ctFonts[fontSizePair] }) == nil else { return ctFonts[fontSizePair]! } + return threadSafeQueue.sync(flags: .barrier, execute: { + if let ctfont = ctFonts[fontSizePair] { + return ctfont + } else { + let result = CTFontCreateWithGraphicsFont(cgFont, size, nil, nil) + ctFonts[fontSizePair] = result + return result + } + }) + } + fileprivate func obtainRawMathTable(font: MathFont) -> NSDictionary { + onDemandRegistration(mathFont: font) + guard let mathTable = threadSafeQueue.sync(execute: { rawMathTables[font] } ) else { + fatalError("\(#function) unable to locate mathTable: \(font.rawValue).plist") + } + return mathTable + } + deinit { + ctFonts.removeAll() + var errorRef: Unmanaged? = nil + cgFonts.values.forEach { cgFont in + CTFontManagerUnregisterGraphicsFont(cgFont, &errorRef) + } + cgFonts.removeAll() + } + public enum FontError: Error { + case invalidFontFile + case fontPathNotFound + case initFontError + case registerFailed + case invalidMathTable + } + + private struct CTFontSizePair: Hashable { + let font: MathFont + let size: CGFloat + } +} diff --git a/third-party/SwiftMath/Sources/MathBundle/MathImage.swift b/third-party/SwiftMath/Sources/MathBundle/MathImage.swift new file mode 100755 index 0000000000..89a06cb5eb --- /dev/null +++ b/third-party/SwiftMath/Sources/MathBundle/MathImage.swift @@ -0,0 +1,123 @@ +// +// MathImage.swift +// +// +// Created by Peter Tang on 15/9/2023. +// + +import Foundation + +#if os(iOS) || os(visionOS) + import UIKit +#elseif os(macOS) + import AppKit +#endif + +public struct MathImage { + public var font: MathFont = .latinModernFont + public var fontSize: CGFloat + public var textColor: MTColor + + public var labelMode: MTMathUILabelMode + public var textAlignment: MTTextAlignment + + public var contentInsets: MTEdgeInsets = MTEdgeInsetsZero + + public let latex: String + + private(set) var intrinsicContentSize = CGSize.zero + + public init(latex: String, fontSize: CGFloat, textColor: MTColor, labelMode: MTMathUILabelMode = .display, textAlignment: MTTextAlignment = .center) { + self.latex = latex + self.fontSize = fontSize + self.textColor = textColor + self.labelMode = labelMode + self.textAlignment = textAlignment + } +} +extension MathImage { + public var currentStyle: MTLineStyle { + switch labelMode { + case .display: return .display + case .text: return .text + } + } + private func intrinsicContentSize(_ displayList: MTMathListDisplay) -> CGSize { + CGSize(width: displayList.width + contentInsets.left + contentInsets.right, + height: displayList.ascent + displayList.descent + contentInsets.top + contentInsets.bottom) + } + public struct LayoutInfo { + public var ascent: CGFloat = 0 + public var descent: CGFloat = 0 + + public init(ascent: CGFloat, descent: CGFloat) { + self.ascent = ascent + self.descent = descent + } + } + public mutating func asImage() -> (NSError?, MTImage?, LayoutInfo?) { + func layoutImage(size: CGSize, displayList: MTMathListDisplay) { + var textX = CGFloat(0) + switch self.textAlignment { + case .left: textX = contentInsets.left + case .center: textX = (size.width - contentInsets.left - contentInsets.right - displayList.width) / 2 + contentInsets.left + case .right: textX = size.width - displayList.width - contentInsets.right + } + let availableHeight = size.height - contentInsets.bottom - contentInsets.top + + // center things vertically + var height = displayList.ascent + displayList.descent + if height < fontSize/2 { + height = fontSize/2 // set height to half the font size + } + let textY = (availableHeight - height) / 2 + displayList.descent + contentInsets.bottom + displayList.position = CGPoint(x: textX, y: textY) + } + var error: NSError? + let mtfont: MTFont? = font.mtfont(size: fontSize) + + guard let mathList = MTMathListBuilder.build(fromString: latex, error: &error), error == nil, + let displayList = MTTypesetter.createLineForMathList(mathList, font: mtfont, style: currentStyle) else { + return (error, nil, nil) + } + + intrinsicContentSize = intrinsicContentSize(displayList) + displayList.textColor = textColor + + let size = intrinsicContentSize.regularized + layoutImage(size: size, displayList: displayList) + + #if os(iOS) || os(visionOS) + let renderer = UIGraphicsImageRenderer(size: size) + let image = renderer.image { rendererContext in + rendererContext.cgContext.saveGState() + rendererContext.cgContext.concatenate(.flippedVertically(size.height)) + displayList.draw(rendererContext.cgContext) + rendererContext.cgContext.restoreGState() + } + return (nil, image, LayoutInfo(ascent: displayList.ascent, descent: displayList.descent)) + #endif + #if os(macOS) + let image = NSImage(size: size, flipped: false) { bounds in + guard let context = NSGraphicsContext.current?.cgContext else { return false } + context.saveGState() + displayList.draw(context) + context.restoreGState() + return true + } + return (nil, image, LayoutInfo(ascent: displayList.ascent, descent: displayList.descent)) + #endif + } +} +private extension CGAffineTransform { + static func flippedVertically(_ height: CGFloat) -> CGAffineTransform { + var transform = CGAffineTransform(scaleX: 1, y: -1) + transform = transform.translatedBy(x: 0, y: -height) + return transform + } +} +extension CGSize { + fileprivate var regularized: CGSize { + CGSize(width: ceil(width), height: ceil(height)) + } +} diff --git a/third-party/SwiftMath/Sources/MathRender/MTBezierPath.swift b/third-party/SwiftMath/Sources/MathRender/MTBezierPath.swift new file mode 100755 index 0000000000..fb5e082a89 --- /dev/null +++ b/third-party/SwiftMath/Sources/MathRender/MTBezierPath.swift @@ -0,0 +1,35 @@ + +// +// Created by Mike Griebling on 2022-12-31. +// Translated from an Objective-C implementation by 安志钢. +// +// This software may be modified and distributed under the terms of the +// MIT license. See the LICENSE file for details. +// + +import Foundation + +#if os(macOS) + +extension MTBezierPath { + func addLine(to point: CGPoint) { + self.line(to: point) + } +} + +extension MTView { + + var backgroundColor:MTColor? { + get { + MTColor(cgColor: self.layer?.backgroundColor ?? MTColor.clear.cgColor) + } + set { + self.layer?.backgroundColor = MTColor.clear.cgColor + self.wantsLayer = true + } + } + +} + +#endif + diff --git a/third-party/SwiftMath/Sources/MathRender/MTColor.swift b/third-party/SwiftMath/Sources/MathRender/MTColor.swift new file mode 100755 index 0000000000..88f8a0d24a --- /dev/null +++ b/third-party/SwiftMath/Sources/MathRender/MTColor.swift @@ -0,0 +1,28 @@ + +// +// Created by Mike Griebling on 2022-12-31. +// Translated from an Objective-C implementation by Markus Sähn. +// +// This software may be modified and distributed under the terms of the +// MIT license. See the LICENSE file for details. +// + +import Foundation + +extension MTColor { + + public convenience init?(fromHexString hexString:String) { + if hexString.isEmpty { return nil } + if !hexString.hasPrefix("#") { return nil } + + var rgbValue = UInt64(0) + let scanner = Scanner(string: hexString) + scanner.charactersToBeSkipped = CharacterSet(charactersIn: "#") + scanner.scanHexInt64(&rgbValue) + self.init(red: CGFloat((rgbValue & 0xFF0000) >> 16)/255.0, + green: CGFloat((rgbValue & 0xFF00) >> 8)/255.0, + blue: CGFloat((rgbValue & 0xFF))/255.0, + alpha: 1.0) + } + +} diff --git a/third-party/SwiftMath/Sources/MathRender/MTConfig.swift b/third-party/SwiftMath/Sources/MathRender/MTConfig.swift new file mode 100755 index 0000000000..19f339bf69 --- /dev/null +++ b/third-party/SwiftMath/Sources/MathRender/MTConfig.swift @@ -0,0 +1,40 @@ +import Foundation + +// +// Created by Mike Griebling on 2022-12-31. +// Translated from an Objective-C implementation by 安志钢. +// +// This software may be modified and distributed under the terms of the +// MIT license. See the LICENSE file for details. +// + +#if os(iOS) || os(visionOS) + +import UIKit + +public typealias MTView = UIView +public typealias MTColor = UIColor +public typealias MTBezierPath = UIBezierPath +public typealias MTLabel = UILabel +public typealias MTEdgeInsets = UIEdgeInsets +public typealias MTRect = CGRect +public typealias MTImage = UIImage + +let MTEdgeInsetsZero = UIEdgeInsets.zero +func MTGraphicsGetCurrentContext() -> CGContext? { UIGraphicsGetCurrentContext() } + +#else + +import AppKit + +public typealias MTView = NSView +public typealias MTColor = NSColor +public typealias MTBezierPath = NSBezierPath +public typealias MTEdgeInsets = NSEdgeInsets +public typealias MTRect = NSRect +public typealias MTImage = NSImage + +let MTEdgeInsetsZero = NSEdgeInsets.init(top: 0, left: 0, bottom: 0, right: 0) +func MTGraphicsGetCurrentContext() -> CGContext? { NSGraphicsContext.current?.cgContext } + +#endif diff --git a/third-party/SwiftMath/Sources/MathRender/MTFont.swift b/third-party/SwiftMath/Sources/MathRender/MTFont.swift new file mode 100644 index 0000000000..e1e418d821 --- /dev/null +++ b/third-party/SwiftMath/Sources/MathRender/MTFont.swift @@ -0,0 +1,81 @@ + +import Foundation +import CoreText +import AppBundle + +// +// Created by Mike Griebling on 2022-12-31. +// Translated from an Objective-C implementation by Kostub Deshmukh. +// +// This software may be modified and distributed under the terms of the +// MIT license. See the LICENSE file for details. +// + +public class MTFont { + + var defaultCGFont: CGFont! + var ctFont: CTFont! + var mathTable: MTFontMathTable? + var rawMathTable: NSDictionary? + + /// Fallback font for characters not supported by the main math font. + /// Defaults to the system font at the same size. This is particularly useful + /// for rendering text in \text{} commands with characters outside the math font's coverage + /// (e.g., Chinese, Japanese, Korean, emoji, etc.) + public var fallbackFont: CTFont? + + init() {} + + /// `MTFont(fontWithName:)` does not load the complete math font, it only has about half the glyphs of the full math font. + /// In particular it does not have the math italic characters which breaks our variable rendering. + /// So we first load a CGFont from the file and then convert it to a CTFont. + convenience init(fontWithName name: String, size:CGFloat) { + self.init() + //print("Loading font \(name)") + let bundle = getAppBundle() + let fontPath = bundle.path(forResource: name, ofType: "otf") + let fontDataProvider = CGDataProvider(filename: fontPath!) + self.defaultCGFont = CGFont(fontDataProvider!)! + //print("Num glyphs: \(self.defaultCGFont.numberOfGlyphs)") + + self.ctFont = CTFontCreateWithGraphicsFont(self.defaultCGFont, size, nil, nil); + + //print("Loading associated .plist") + let mathTablePlist = bundle.url(forResource:name, withExtension:"plist") + self.rawMathTable = NSDictionary(contentsOf: mathTablePlist!) + self.mathTable = MTFontMathTable(withFont:self, mathTable:rawMathTable!) + } + + static var fontBundle:Bundle { + // Uses bundle for class so that this can be access by the unit tests. + Bundle(url: Bundle.main.url(forResource: "mathFonts", withExtension: "bundle")!)! + } + + /** Returns a copy of this font but with a different size. */ + public func copy(withSize size: CGFloat) -> MTFont { + let newFont = MTFont() + newFont.defaultCGFont = self.defaultCGFont + newFont.ctFont = CTFontCreateWithGraphicsFont(self.defaultCGFont, size, nil, nil) + newFont.rawMathTable = self.rawMathTable + newFont.mathTable = MTFontMathTable(withFont: newFont, mathTable: newFont.rawMathTable!) + return newFont + } + + func get(nameForGlyph glyph:CGGlyph) -> String { + let name = defaultCGFont.name(for: glyph) as? String + return name ?? "" + } + + func get(glyphWithName name:String) -> CGGlyph { + defaultCGFont.getGlyphWithGlyphName(name: name as CFString) + } + + /** The size of this font in points. */ + public var fontSize:CGFloat { CTFontGetSize(self.ctFont) } + + deinit { + self.ctFont = nil + self.defaultCGFont = nil + } + +} diff --git a/third-party/SwiftMath/Sources/MathRender/MTFontManager.swift b/third-party/SwiftMath/Sources/MathRender/MTFontManager.swift new file mode 100755 index 0000000000..71f42cc477 --- /dev/null +++ b/third-party/SwiftMath/Sources/MathRender/MTFontManager.swift @@ -0,0 +1,93 @@ + +// +// Created by Mike Griebling on 2022-12-31. +// Translated from an Objective-C implementation by Kostub Deshmukh. +// +// This software may be modified and distributed under the terms of the +// MIT license. See the LICENSE file for details. +// + +import Foundation + +public class MTFontManager { + + static public private(set) var manager: MTFontManager = { + MTFontManager() + }() + + let kDefaultFontSize = CGFloat(20) + + static var fontManager : MTFontManager { + return manager + } + + public init() { } + + @RWLocked + var nameToFontMap = [String: MTFont]() + + public func font(withName name:String, size:CGFloat) -> MTFont? { + var f = self.nameToFontMap[name] + if f == nil { + f = MTFont(fontWithName: name, size: size) + self.nameToFontMap[name] = f + } + + if f!.fontSize == size { return f } + else { return f!.copy(withSize: size) } + } + + public func latinModernFont(withSize size:CGFloat) -> MTFont? { + MTFontManager.fontManager.font(withName: "latinmodern-math", size: size) + } + + public func kpMathLightFont(withSize size:CGFloat) -> MTFont? { + MTFontManager.fontManager.font(withName: "KpMath-Light", size: size) + } + + public func kpMathSansFont(withSize size:CGFloat) -> MTFont? { + MTFontManager.fontManager.font(withName: "KpMath-Sans", size: size) + } + + public func xitsFont(withSize size:CGFloat) -> MTFont? { + MTFontManager.fontManager.font(withName: "xits-math", size: size) + } + + public func termesFont(withSize size:CGFloat) -> MTFont? { + MTFontManager.fontManager.font(withName: "texgyretermes-math", size: size) + } + + public func asanaFont(withSize size:CGFloat) -> MTFont? { + MTFontManager.fontManager.font(withName: "Asana-Math", size: size) + } + + public func eulerFont(withSize size:CGFloat) -> MTFont? { + MTFontManager.fontManager.font(withName: "Euler-Math", size: size) + } + + public func firaRegularFont(withSize size:CGFloat) -> MTFont? { + MTFontManager.fontManager.font(withName: "FiraMath-Regular", size: size) + } + + public func notoSansRegularFont(withSize size:CGFloat) -> MTFont? { + MTFontManager.fontManager.font(withName: "NotoSansMath-Regular", size: size) + } + + public func libertinusRegularFont(withSize size:CGFloat) -> MTFont? { + MTFontManager.fontManager.font(withName: "LibertinusMath-Regular", size: size) + } + + public func garamondMathFont(withSize size:CGFloat) -> MTFont? { + MTFontManager.fontManager.font(withName: "Garamond-Math", size: size) + } + + public func leteSansFont(withSize size:CGFloat) -> MTFont? { + MTFontManager.fontManager.font(withName: "LeteSansMath", size: size) + } + + public var defaultFont: MTFont? { + MTFontManager.fontManager.latinModernFont(withSize: kDefaultFontSize) + } + + +} diff --git a/third-party/SwiftMath/Sources/MathRender/MTFontMathTable.swift b/third-party/SwiftMath/Sources/MathRender/MTFontMathTable.swift new file mode 100755 index 0000000000..35e252b1ad --- /dev/null +++ b/third-party/SwiftMath/Sources/MathRender/MTFontMathTable.swift @@ -0,0 +1,355 @@ +// +// Created by Mike Griebling on 2022-12-31. +// Translated from an Objective-C implementation by Kostub Deshmukh. +// +// This software may be modified and distributed under the terms of the +// MIT license. See the LICENSE file for details. +// + +import Foundation +import CoreText + +struct GlyphPart { + /// The glyph that represents this part + var glyph: CGGlyph! + + /// Full advance width/height for this part, in the direction of the extension in points. + var fullAdvance: CGFloat = 0 + + /// Advance width/ height of the straight bar connector material at the beginning of the glyph in points. + var startConnectorLength: CGFloat = 0 + + /// Advance width/ height of the straight bar connector material at the end of the glyph in points. + var endConnectorLength: CGFloat = 0 + + /// If this part is an extender. If set, the part can be skipped or repeated. + var isExtender: Bool = false +} + +/** This class represents the Math table of an open type font. + + The math table is documented here: https://www.microsoft.com/typography/otspec/math.htm + + How the constants in this class affect the display is documented here: + http://www.tug.org/TUGboat/tb30-1/tb94vieth.pdf + + Note: We don't parse the math table from the open type font. Rather we parse it + in python and convert it to a .plist file which is easily consumed by this class. + This approach is preferable to spending an inordinate amount of time figuring out + how to parse the returned NSData object using the open type rules. + + Remark: This class is not meant to be used outside of this library. + */ +class MTFontMathTable { + + // The font for this math table. + public private(set) weak var font:MTFont? // @property (nonatomic, readonly, weak) MTFont* font; + + var _unitsPerEm: UInt + var _fontSize: CGFloat + var _mathTable: NSDictionary! + + let kConstants = "constants" + + /** MU unit in points */ + var muUnit:CGFloat { _fontSize/18 } + + func fontUnitsToPt(_ fontUnits:Int) -> CGFloat { + CGFloat(fontUnits) * _fontSize / CGFloat(_unitsPerEm) + } + + init(withFont font: MTFont?, mathTable:NSDictionary) { + assert(font != nil, "font has nil value") + assert(font!.ctFont != nil, "font.ctFont has nil value") + self.font = font + // do domething with font + _unitsPerEm = UInt(CTFontGetUnitsPerEm(font!.ctFont)) + _fontSize = font!.fontSize; + _mathTable = mathTable + let version = _mathTable["version"] as! String + if version != "1.3" { + NSException(name: NSExceptionName.internalInconsistencyException, reason: "Invalid version of math table plist: \(version)").raise() + } + } + + func constantFromTable(_ constName:String) -> CGFloat { + let consts = _mathTable[kConstants] as! NSDictionary? + let val = consts![constName] as! NSNumber? + return fontUnitsToPt(val!.intValue) + } + + func percentFromTable(_ percentName:String) -> CGFloat { + let consts = _mathTable[kConstants] as! NSDictionary? + let val = consts![percentName] as! NSNumber? + return CGFloat(val!.floatValue) / 100 + } + + /// Math Font Metrics from the opentype specification + // MARK: - Fractions + var fractionNumeratorDisplayStyleShiftUp:CGFloat { constantFromTable("FractionNumeratorDisplayStyleShiftUp") } // \sigma_8 in TeX + var fractionNumeratorShiftUp:CGFloat { constantFromTable("FractionNumeratorShiftUp") } // \sigma_9 in TeX + var fractionDenominatorDisplayStyleShiftDown:CGFloat { constantFromTable("FractionDenominatorDisplayStyleShiftDown") } // \sigma_11 in TeX + var fractionDenominatorShiftDown:CGFloat { constantFromTable("FractionDenominatorShiftDown") } // \sigma_12 in TeX + var fractionNumeratorDisplayStyleGapMin:CGFloat { constantFromTable("FractionNumDisplayStyleGapMin") } // 3 * \xi_8 in TeX + var fractionNumeratorGapMin:CGFloat { constantFromTable("FractionNumeratorGapMin") } // \xi_8 in TeX + var fractionDenominatorDisplayStyleGapMin:CGFloat { constantFromTable("FractionDenomDisplayStyleGapMin") } // 3 * \xi_8 in TeX + var fractionDenominatorGapMin:CGFloat { constantFromTable("FractionDenominatorGapMin") } // \xi_8 in TeX + var fractionRuleThickness:CGFloat { constantFromTable("FractionRuleThickness") } // \xi_8 in TeX + var skewedFractionHorizonalGap:CGFloat { constantFromTable("SkewedFractionHorizontalGap") } // \sigma_20 in TeX + var skewedFractionVerticalGap:CGFloat { constantFromTable("SkewedFractionVerticalGap") } // \sigma_21 in TeX + + // MARK: - Non-standard + /// FractionDelimiterSize and FractionDelimiterDisplayStyleSize are not constants + /// specified in the OpenType Math specification. Rather these are proposed LuaTeX extensions + /// for the TeX parameters \sigma_20 (delim1) and \sigma_21 (delim2). Since these do not + /// exist in the fonts that we have, we use the same approach as LuaTeX and use the fontSize + /// to determine these values. The constants used match the metrics values of the original TeX fonts. + /// Note: An alternative approach is to use DelimitedSubFormulaMinHeight for \sigma21 and use a factor + /// of 2 to get \sigma 20 as proposed in Vieth paper. + /// The XeTeX implementation sets \sigma21 = fontSize and \sigma20 = DelimitedSubFormulaMinHeight which + /// will produce smaller delimiters. + /// Of all the approaches we've implemented LuaTeX's approach since it mimics LaTeX most accurately. + var fractionDelimiterSize: CGFloat { 1.01 * _fontSize } + + /// Modified constant from 2.4 to 2.39 for better visual appearance. + var fractionDelimiterDisplayStyleSize: CGFloat { 2.39 * _fontSize } + + // MARK: - Stacks + var stackTopDisplayStyleShiftUp:CGFloat { constantFromTable("StackTopDisplayStyleShiftUp") } // \sigma_8 in TeX + var stackTopShiftUp:CGFloat { constantFromTable("StackTopShiftUp") } // \sigma_10 in TeX + var stackDisplayStyleGapMin:CGFloat { constantFromTable("StackDisplayStyleGapMin") } // 7 \xi_8 in TeX + var stackGapMin:CGFloat { constantFromTable("StackGapMin") } // 3 \xi_8 in TeX + var stackBottomDisplayStyleShiftDown:CGFloat { constantFromTable("StackBottomDisplayStyleShiftDown") } // \sigma_11 in TeX + var stackBottomShiftDown:CGFloat { constantFromTable("StackBottomShiftDown") } // \sigma_12 in TeX + + var stretchStackBottomShiftDown:CGFloat { constantFromTable("StretchStackBottomShiftDown") } + var stretchStackGapAboveMin:CGFloat { constantFromTable("StretchStackGapAboveMin") } + var stretchStackGapBelowMin:CGFloat { constantFromTable("StretchStackGapBelowMin") } + var stretchStackTopShiftUp:CGFloat { constantFromTable("StretchStackTopShiftUp") } + + // MARK: - super/sub scripts + + var superscriptShiftUp:CGFloat { constantFromTable("SuperscriptShiftUp") } // \sigma_13, \sigma_14 in TeX + var superscriptShiftUpCramped:CGFloat { constantFromTable("SuperscriptShiftUpCramped") } // \sigma_15 in TeX + var subscriptShiftDown:CGFloat { constantFromTable("SubscriptShiftDown") } // \sigma_16, \sigma_17 in TeX + var superscriptBaselineDropMax:CGFloat { constantFromTable("SuperscriptBaselineDropMax") } // \sigma_18 in TeX + var subscriptBaselineDropMin:CGFloat { constantFromTable("SubscriptBaselineDropMin") } // \sigma_19 in TeX + var superscriptBottomMin:CGFloat { constantFromTable("SuperscriptBottomMin") } // 1/4 \sigma_5 in TeX + var subscriptTopMax:CGFloat { constantFromTable("SubscriptTopMax") } // 4/5 \sigma_5 in TeX + var subSuperscriptGapMin:CGFloat { constantFromTable("SubSuperscriptGapMin") } // 4 \xi_8 in TeX + var superscriptBottomMaxWithSubscript:CGFloat { constantFromTable("SuperscriptBottomMaxWithSubscript") } // 4/5 \sigma_5 in TeX + + var spaceAfterScript:CGFloat { constantFromTable("SpaceAfterScript") } + + // MARK: - radicals + var radicalExtraAscender:CGFloat { constantFromTable("RadicalExtraAscender") } // \xi_8 in Tex + var radicalRuleThickness:CGFloat { constantFromTable("RadicalRuleThickness") } // \xi_8 in Tex + var radicalDisplayStyleVerticalGap:CGFloat { constantFromTable("RadicalDisplayStyleVerticalGap") } // \xi_8 + 1/4 \sigma_5 in Tex + var radicalVerticalGap:CGFloat { constantFromTable("RadicalVerticalGap") } // 5/4 \xi_8 in Tex + var radicalKernBeforeDegree:CGFloat { constantFromTable("RadicalKernBeforeDegree") } // 5 mu in Tex + var radicalKernAfterDegree:CGFloat { constantFromTable("RadicalKernAfterDegree") } // -10 mu in Tex + var radicalDegreeBottomRaisePercent:CGFloat { percentFromTable("RadicalDegreeBottomRaisePercent") } // 60% in Tex + + // MARK: - Limits + var upperLimitBaselineRiseMin:CGFloat { constantFromTable("UpperLimitBaselineRiseMin") } // \xi_11 in TeX + var upperLimitGapMin:CGFloat { constantFromTable("UpperLimitGapMin") } // \xi_9 in TeX + var lowerLimitGapMin:CGFloat { constantFromTable("LowerLimitGapMin") } // \xi_10 in TeX + var lowerLimitBaselineDropMin:CGFloat { constantFromTable("LowerLimitBaselineDropMin") } // \xi_12 in TeX + var limitExtraAscenderDescender:CGFloat { 0 } // \xi_13 in TeX, not present in OpenType so we always set it to 0. + + // MARK: - Underline + var underbarVerticalGap:CGFloat { constantFromTable("UnderbarVerticalGap") } // 3 \xi_8 in TeX + var underbarRuleThickness:CGFloat { constantFromTable("UnderbarRuleThickness") } // \xi_8 in TeX + var underbarExtraDescender:CGFloat { constantFromTable("UnderbarExtraDescender") } // \xi_8 in TeX + + // MARK: - Overline + var overbarVerticalGap:CGFloat { constantFromTable("OverbarVerticalGap") } // 3 \xi_8 in TeX + var overbarRuleThickness:CGFloat { constantFromTable("OverbarRuleThickness") } // \xi_8 in TeX + var overbarExtraAscender:CGFloat { constantFromTable("OverbarExtraAscender") } // \xi_8 in TeX + + // MARK: - Constants + + var axisHeight:CGFloat { constantFromTable("AxisHeight") } // \sigma_22 in TeX + var scriptScaleDown:CGFloat { percentFromTable("ScriptPercentScaleDown") } + var scriptScriptScaleDown:CGFloat { percentFromTable("ScriptScriptPercentScaleDown") } + var mathLeading:CGFloat { constantFromTable("MathLeading") } + var delimitedSubFormulaMinHeight:CGFloat { constantFromTable("DelimitedSubFormulaMinHeight") } + + // MARK: - Accent + + var accentBaseHeight:CGFloat { constantFromTable("AccentBaseHeight") } // \fontdimen5 in TeX (x-height) + var flattenedAccentBaseHeight:CGFloat { constantFromTable("FlattenedAccentBaseHeight") } + + // MARK: - Variants + + let kVertVariants = "v_variants" + let kHorizVariants = "h_variants" + + /** Returns an Array of all the vertical variants of the glyph if any. If + there are no variants for the glyph, the array contains the given glyph. */ + func getVerticalVariantsForGlyph( _ glyph:CGGlyph) -> [NSNumber?] { + let variants = _mathTable[kVertVariants] as! NSDictionary? + return self.getVariantsForGlyph(glyph, inDictionary: variants!) + } + + /** Returns an Array of all the horizontal variants of the glyph if any. If + there are no variants for the glyph, the array contains the given glyph. */ + func getHorizontalVariantsForGlyph( _ glyph:CGGlyph) -> [NSNumber?] { + let variants = _mathTable[kHorizVariants] as! NSDictionary + return self.getVariantsForGlyph(glyph, inDictionary:variants) + } + + func getVariantsForGlyph(_ glyph: CGGlyph, inDictionary variants:NSDictionary) -> [NSNumber?] { + let glyphName = self.font!.get(nameForGlyph: glyph) + let variantGlyphs = variants[glyphName] as! NSArray? + var glyphArray = [NSNumber]() + if variantGlyphs == nil || variantGlyphs?.count == 0 { + // There are no extra variants, so just add the current glyph to it. + let glyph = self.font!.get(glyphWithName: glyphName) + glyphArray.append(NSNumber(value:glyph)) + return glyphArray + } + for gvn in variantGlyphs! { + let glyphVariantName = gvn as! String? + let variantGlyph = self.font?.get(glyphWithName: glyphVariantName!) + glyphArray.append(NSNumber(value:variantGlyph!)) + } + return glyphArray + } + + /** Returns a larger vertical variant of the given glyph if any. + If there is no larger version, this returns the current glyph. + + - Parameter glyph: The glyph to find a larger variant for + - Parameter forDisplayStyle: If true, selects the largest appropriate variant for display style. + If false, selects the next larger variant (incremental sizing). + - Returns: A larger glyph variant, or the original glyph if no variants exist + */ + func getLargerGlyph(_ glyph:CGGlyph, forDisplayStyle: Bool = false) -> CGGlyph { + let variants = _mathTable[kVertVariants] as! NSDictionary? + let glyphName = self.font?.get(nameForGlyph: glyph) + let variantGlyphs = variants![glyphName!] as! NSArray? + if variantGlyphs == nil || variantGlyphs?.count == 0 { + // There are no extra variants, so just returnt the current glyph. + return glyph + } + + if forDisplayStyle { + // For display style, select a large variant suitable for mathematical display mode + // Display integrals should be significantly larger (~2.2em) for visual prominence + let count = variantGlyphs!.count + + // Strategy: Use the largest variant, but avoid extreme sizes for fonts with many variants + let targetIndex: Int + if count <= 2 { + // Small variant list: use the last one (e.g., integral.size1 at ~2.2em) + targetIndex = count - 1 + } else if count <= 4 { + // Medium variant list: use second-to-last to avoid extremes + targetIndex = count - 2 + } else { + // Large variant list (like texgyretermes with 6 variants): + // Use variant at ~60% position to get appropriate display size (~2.0em) + // For 7 variants (0-6), this gives index 4 + targetIndex = min(count - 2, Int(Double(count) * 0.6)) + } + + if let glyphVariantName = variantGlyphs![targetIndex] as? String { + let variantGlyph = self.font?.get(glyphWithName: glyphVariantName) + return variantGlyph! + } + } else { + // Text/inline style: use incremental sizing for moderate enlargement + // Find the first variant with a different name + for gvn in variantGlyphs! { + let glyphVariantName = gvn as! String? + if glyphVariantName != glyphName { + let variantGlyph = self.font?.get(glyphWithName: glyphVariantName!) + return variantGlyph! + } + } + } + + // We did not find any variants of this glyph so return it. + return glyph; + } + + // MARK: - Italic Correction + + let kItalic = "italic" + + /** Returns the italic correction for the given glyph if any. If there + isn't any this returns 0. */ + func getItalicCorrection(_ glyph: CGGlyph) -> CGFloat { + let italics = _mathTable[kItalic] as! NSDictionary? + let glyphName = self.font?.get(nameForGlyph: glyph) + let val = italics![glyphName!] as! NSNumber? + // if val is nil, this returns 0. + return self.fontUnitsToPt(val?.intValue ?? 0) + } + + // MARK: - Accents + + let kAccents = "accents" + + /** Returns the adjustment to the top accent for the given glyph if any. + If there isn't any this returns -1. */ + func getTopAccentAdjustment(_ glyph: CGGlyph) -> CGFloat { + var glyph = glyph + let accents = _mathTable[kAccents] as! NSDictionary? + let glyphName = self.font?.get(nameForGlyph: glyph) + let val = accents![glyphName!] as! NSNumber? + if let val = val { + return self.fontUnitsToPt(val.intValue) + } else { + // If no top accent is defined then it is the center of the advance width. + var advances = CGSize.zero + CTFontGetAdvancesForGlyphs(self.font!.ctFont, .horizontal, &glyph, &advances, 1) + return advances.width/2 + } + } + + // MARK: - Glyph Construction + + /** Minimum overlap of connecting glyphs during glyph construction */ + var minConnectorOverlap:CGFloat { constantFromTable("MinConnectorOverlap") } + + let kVertAssembly = "v_assembly" + let kAssemblyParts = "parts" + + /** Returns an array of the glyph parts to be used for constructing vertical variants + of this glyph. If there is no glyph assembly defined, returns an empty array. */ + func getVerticalGlyphAssembly(forGlyph glyph:CGGlyph) -> [GlyphPart] { + let assemblyTable = _mathTable[kVertAssembly] as! NSDictionary? + let glyphName = self.font?.get(nameForGlyph: glyph) + let assemblyInfo = assemblyTable![glyphName!] as! NSDictionary? + if assemblyInfo == nil { + // No vertical assembly defined for glyph + return [] + } + let parts = assemblyInfo![kAssemblyParts] as! NSArray? + if parts == nil { + // parts should always have been defined, but if it isn't return nil + return [] + } + var rv = [GlyphPart]() + for part in parts! { + let partInfo = part as! NSDictionary? + var part = GlyphPart() + let adv = partInfo!["advance"] as! NSNumber? + part.fullAdvance = self.fontUnitsToPt(adv!.intValue) + let end = partInfo!["endConnector"] as! NSNumber? + part.endConnectorLength = self.fontUnitsToPt(end!.intValue) + let start = partInfo!["startConnector"] as! NSNumber? + part.startConnectorLength = self.fontUnitsToPt(start!.intValue) + let ext = partInfo!["extender"] as! NSNumber? + part.isExtender = ext!.boolValue + let glyphName = partInfo!["glyph"] as! String? + part.glyph = self.font?.get(glyphWithName: glyphName!) + rv.append(part) + } + return rv + } + + +} diff --git a/third-party/SwiftMath/Sources/MathRender/MTLabel.swift b/third-party/SwiftMath/Sources/MathRender/MTLabel.swift new file mode 100755 index 0000000000..8964a9027b --- /dev/null +++ b/third-party/SwiftMath/Sources/MathRender/MTLabel.swift @@ -0,0 +1,37 @@ +// +// Created by Mike Griebling on 2022-12-31. +// Translated from an Objective-C implementation by 安志钢. +// +// This software may be modified and distributed under the terms of the +// MIT license. See the LICENSE file for details. +// + +import Foundation +import SwiftUI + +#if os(macOS) + +public class MTLabel : NSTextField { + + init() { + super.init(frame: .zero) + self.stringValue = "" + self.isBezeled = false + self.drawsBackground = false + self.isEditable = false + self.isSelectable = false + } + + required init?(coder: NSCoder) { + super.init(coder: coder) + } + + // MARK: - Customized getter and setter methods for property text. + var text:String? { + get { super.stringValue } + set { super.stringValue = newValue! } + } + +} + +#endif diff --git a/third-party/SwiftMath/Sources/MathRender/MTMathAtomFactory.swift b/third-party/SwiftMath/Sources/MathRender/MTMathAtomFactory.swift new file mode 100644 index 0000000000..8d35a93dc3 --- /dev/null +++ b/third-party/SwiftMath/Sources/MathRender/MTMathAtomFactory.swift @@ -0,0 +1,1141 @@ +// +// Created by Mike Griebling on 2022-12-31. +// Translated from an Objective-C implementation by Kostub Deshmukh. +// +// This software may be modified and distributed under the terms of the +// MIT license. See the LICENSE file for details. +// + +import Foundation + +/** A factory to create commonly used MTMathAtoms. */ +public class MTMathAtomFactory { + + public static let aliases = [ + "lnot" : "neg", + "land" : "wedge", + "lor" : "vee", + "ne" : "neq", + "le" : "leq", + "ge" : "geq", + "lbrace" : "{", + "rbrace" : "}", + "Vert" : "|", + "gets" : "leftarrow", + "to" : "rightarrow", + "iff" : "Longleftrightarrow", + "AA" : "angstrom" + ] + + public static let delimiters = [ + "." : "", // . means no delimiter + "(" : "(", + ")" : ")", + "[" : "[", + "]" : "]", + "<" : "\u{2329}", + ">" : "\u{232A}", + "/" : "/", + "\\" : "\\", + "|" : "|", + "lgroup" : "\u{27EE}", + "rgroup" : "\u{27EF}", + "||" : "\u{2016}", + "Vert" : "\u{2016}", + "vert" : "|", + "uparrow" : "\u{2191}", + "downarrow" : "\u{2193}", + "updownarrow" : "\u{2195}", + "Uparrow" : "\u{21D1}", + "Downarrow" : "\u{21D3}", + "Updownarrow" : "\u{21D5}", + "backslash" : "\\", + "rangle" : "\u{232A}", + "langle" : "\u{2329}", + "rbrace" : "}", + "}" : "}", + "{" : "{", + "lbrace" : "{", + "lceil" : "\u{2308}", + "rceil" : "\u{2309}", + "lfloor" : "\u{230A}", + "rfloor" : "\u{230B}", + // Corner brackets (amssymb) + "ulcorner" : "\u{231C}", // upper left corner + "urcorner" : "\u{231D}", // upper right corner + "llcorner" : "\u{231E}", // lower left corner + "lrcorner" : "\u{231F}", // lower right corner + // Double square brackets (strachey brackets) + "llbracket" : "\u{27E6}", // left double bracket + "rrbracket" : "\u{27E7}", // right double bracket + ] + + private static let delimValueLock = NSLock() + static var _delimValueToName = [String: String]() + public static var delimValueToName: [String: String] { + if _delimValueToName.isEmpty { + var output = [String: String]() + for (key, value) in Self.delimiters { + if let existingValue = output[value] { + if key.count > existingValue.count { + continue + } else if key.count == existingValue.count { + if key.compare(existingValue) == .orderedDescending { + continue + } + } + } + output[value] = key + } + // protect lazily loading table in a multi-thread concurrent environment + delimValueLock.lock() + defer { delimValueLock.unlock() } + if _delimValueToName.isEmpty { + _delimValueToName = output + } + } + return _delimValueToName + } + + public static let accents = [ + "grave" : "\u{0300}", + "acute" : "\u{0301}", + "hat" : "\u{0302}", // In our implementation hat and widehat behave the same. + "tilde" : "\u{0303}", // In our implementation tilde and widetilde behave the same. + "bar" : "\u{0304}", + "breve" : "\u{0306}", + "dot" : "\u{0307}", + "ddot" : "\u{0308}", + "check" : "\u{030C}", + "vec" : "\u{20D7}", + "widehat" : "\u{0302}", + "widetilde" : "\u{0303}", + "overleftarrow" : "\u{20D6}", // Combining left arrow above + "overrightarrow" : "\u{20D7}", // Combining right arrow above (same as vec) + "overleftrightarrow" : "\u{20E1}" // Combining left right arrow above + ] + + private static let accentValueLock = NSLock() + static var _accentValueToName: [String: String]? = nil + public static var accentValueToName: [String: String] { + if _accentValueToName == nil { + var output = [String: String]() + + for (key, value) in Self.accents { + if let existingValue = output[value] { + if key.count > existingValue.count { + continue + } else if key.count == existingValue.count { + if key.compare(existingValue) == .orderedDescending { + continue + } + } + } + output[value] = key + } + // protect lazily loading table in a multi-thread concurrent environment + accentValueLock.lock() + defer { accentValueLock.unlock() } + if _accentValueToName == nil { + _accentValueToName = output + } + } + return _accentValueToName! + } + + static var supportedLatexSymbolNames:[String] { + let commands = MTMathAtomFactory.supportedLatexSymbols + return commands.keys.map { String($0) } + } + + static var supportedLatexSymbols: [String: MTMathAtom] = [ + "square" : MTMathAtomFactory.placeholder(), + + // Greek characters + "alpha" : MTMathAtom(type: .variable, value: "\u{03B1}"), + "beta" : MTMathAtom(type: .variable, value: "\u{03B2}"), + "gamma" : MTMathAtom(type: .variable, value: "\u{03B3}"), + "delta" : MTMathAtom(type: .variable, value: "\u{03B4}"), + "varepsilon" : MTMathAtom(type: .variable, value: "\u{03B5}"), + "zeta" : MTMathAtom(type: .variable, value: "\u{03B6}"), + "eta" : MTMathAtom(type: .variable, value: "\u{03B7}"), + "theta" : MTMathAtom(type: .variable, value: "\u{03B8}"), + "iota" : MTMathAtom(type: .variable, value: "\u{03B9}"), + "kappa" : MTMathAtom(type: .variable, value: "\u{03BA}"), + "lambda" : MTMathAtom(type: .variable, value: "\u{03BB}"), + "mu" : MTMathAtom(type: .variable, value: "\u{03BC}"), + "nu" : MTMathAtom(type: .variable, value: "\u{03BD}"), + "xi" : MTMathAtom(type: .variable, value: "\u{03BE}"), + "omicron" : MTMathAtom(type: .variable, value: "\u{03BF}"), + "pi" : MTMathAtom(type: .variable, value: "\u{03C0}"), + "rho" : MTMathAtom(type: .variable, value: "\u{03C1}"), + "varsigma" : MTMathAtom(type: .variable, value: "\u{03C2}"), + "sigma" : MTMathAtom(type: .variable, value: "\u{03C3}"), + "tau" : MTMathAtom(type: .variable, value: "\u{03C4}"), + "upsilon" : MTMathAtom(type: .variable, value: "\u{03C5}"), + "varphi" : MTMathAtom(type: .variable, value: "\u{03C6}"), + "chi" : MTMathAtom(type: .variable, value: "\u{03C7}"), + "psi" : MTMathAtom(type: .variable, value: "\u{03C8}"), + "omega" : MTMathAtom(type: .variable, value: "\u{03C9}"), + // We mark the following greek chars as ordinary so that we don't try + // to automatically italicize them as we do with variables. + // These characters fall outside the rules of italicization that we have defined. + "epsilon" : MTMathAtom(type: .ordinary, value: "\u{0001D716}"), + "vartheta" : MTMathAtom(type: .ordinary, value: "\u{0001D717}"), + "phi" : MTMathAtom(type: .ordinary, value: "\u{0001D719}"), + "varrho" : MTMathAtom(type: .ordinary, value: "\u{0001D71A}"), + "varpi" : MTMathAtom(type: .ordinary, value: "\u{0001D71B}"), + "varkappa" : MTMathAtom(type: .ordinary, value: "\u{03F0}"), + // Note: digamma (U+03DD) and Digamma (U+03DC) are not supported by Latin Modern Math font + + // Capital greek characters + "Gamma" : MTMathAtom(type: .variable, value: "\u{0393}"), + "Delta" : MTMathAtom(type: .variable, value: "\u{0394}"), + "Theta" : MTMathAtom(type: .variable, value: "\u{0398}"), + "Lambda" : MTMathAtom(type: .variable, value: "\u{039B}"), + "Xi" : MTMathAtom(type: .variable, value: "\u{039E}"), + "Pi" : MTMathAtom(type: .variable, value: "\u{03A0}"), + "Sigma" : MTMathAtom(type: .variable, value: "\u{03A3}"), + "Upsilon" : MTMathAtom(type: .variable, value: "\u{03A5}"), + "Phi" : MTMathAtom(type: .variable, value: "\u{03A6}"), + "Psi" : MTMathAtom(type: .variable, value: "\u{03A8}"), + "Omega" : MTMathAtom(type: .variable, value: "\u{03A9}"), + + // Open + "lceil" : MTMathAtom(type: .open, value: "\u{2308}"), + "lfloor" : MTMathAtom(type: .open, value: "\u{230A}"), + "langle" : MTMathAtom(type: .open, value: "\u{27E8}"), + "lgroup" : MTMathAtom(type: .open, value: "\u{27EE}"), + + // Close + "rceil" : MTMathAtom(type: .close, value: "\u{2309}"), + "rfloor" : MTMathAtom(type: .close, value: "\u{230B}"), + "rangle" : MTMathAtom(type: .close, value: "\u{27E9}"), + "rgroup" : MTMathAtom(type: .close, value: "\u{27EF}"), + + // Arrows + "leftarrow" : MTMathAtom(type: .relation, value: "\u{2190}"), + "uparrow" : MTMathAtom(type: .relation, value: "\u{2191}"), + "rightarrow" : MTMathAtom(type: .relation, value: "\u{2192}"), + "downarrow" : MTMathAtom(type: .relation, value: "\u{2193}"), + "leftrightarrow" : MTMathAtom(type: .relation, value: "\u{2194}"), + "updownarrow" : MTMathAtom(type: .relation, value: "\u{2195}"), + "nwarrow" : MTMathAtom(type: .relation, value: "\u{2196}"), + "nearrow" : MTMathAtom(type: .relation, value: "\u{2197}"), + "searrow" : MTMathAtom(type: .relation, value: "\u{2198}"), + "swarrow" : MTMathAtom(type: .relation, value: "\u{2199}"), + "mapsto" : MTMathAtom(type: .relation, value: "\u{21A6}"), + "Leftarrow" : MTMathAtom(type: .relation, value: "\u{21D0}"), + "Uparrow" : MTMathAtom(type: .relation, value: "\u{21D1}"), + "Rightarrow" : MTMathAtom(type: .relation, value: "\u{21D2}"), + "Downarrow" : MTMathAtom(type: .relation, value: "\u{21D3}"), + "Leftrightarrow" : MTMathAtom(type: .relation, value: "\u{21D4}"), + "Updownarrow" : MTMathAtom(type: .relation, value: "\u{21D5}"), + "longleftarrow" : MTMathAtom(type: .relation, value: "\u{27F5}"), + "longrightarrow" : MTMathAtom(type: .relation, value: "\u{27F6}"), + "longleftrightarrow" : MTMathAtom(type: .relation, value: "\u{27F7}"), + "Longleftarrow" : MTMathAtom(type: .relation, value: "\u{27F8}"), + "Longrightarrow" : MTMathAtom(type: .relation, value: "\u{27F9}"), + "Longleftrightarrow" : MTMathAtom(type: .relation, value: "\u{27FA}"), + "longmapsto" : MTMathAtom(type: .relation, value: "\u{27FC}"), + "hookrightarrow" : MTMathAtom(type: .relation, value: "\u{21AA}"), + "hookleftarrow" : MTMathAtom(type: .relation, value: "\u{21A9}"), + + + // Relations + "leq" : MTMathAtom(type: .relation, value: UnicodeSymbol.lessEqual), + "geq" : MTMathAtom(type: .relation, value: UnicodeSymbol.greaterEqual), + "leqslant" : MTMathAtom(type: .relation, value: "\u{2A7D}"), + "geqslant" : MTMathAtom(type: .relation, value: "\u{2A7E}"), + "neq" : MTMathAtom(type: .relation, value: UnicodeSymbol.notEqual), + "in" : MTMathAtom(type: .relation, value: "\u{2208}"), + "notin" : MTMathAtom(type: .relation, value: "\u{2209}"), + "ni" : MTMathAtom(type: .relation, value: "\u{220B}"), + "propto" : MTMathAtom(type: .relation, value: "\u{221D}"), + "mid" : MTMathAtom(type: .relation, value: "\u{2223}"), + "parallel" : MTMathAtom(type: .relation, value: "\u{2225}"), + "sim" : MTMathAtom(type: .relation, value: "\u{223C}"), + "simeq" : MTMathAtom(type: .relation, value: "\u{2243}"), + "cong" : MTMathAtom(type: .relation, value: "\u{2245}"), + "approx" : MTMathAtom(type: .relation, value: "\u{2248}"), + "asymp" : MTMathAtom(type: .relation, value: "\u{224D}"), + "doteq" : MTMathAtom(type: .relation, value: "\u{2250}"), + "equiv" : MTMathAtom(type: .relation, value: "\u{2261}"), + "gg" : MTMathAtom(type: .relation, value: "\u{226B}"), + "ll" : MTMathAtom(type: .relation, value: "\u{226A}"), + "prec" : MTMathAtom(type: .relation, value: "\u{227A}"), + "succ" : MTMathAtom(type: .relation, value: "\u{227B}"), + "preceq" : MTMathAtom(type: .relation, value: "\u{2AAF}"), + "succeq" : MTMathAtom(type: .relation, value: "\u{2AB0}"), + "subset" : MTMathAtom(type: .relation, value: "\u{2282}"), + "supset" : MTMathAtom(type: .relation, value: "\u{2283}"), + "subseteq" : MTMathAtom(type: .relation, value: "\u{2286}"), + "supseteq" : MTMathAtom(type: .relation, value: "\u{2287}"), + "sqsubset" : MTMathAtom(type: .relation, value: "\u{228F}"), + "sqsupset" : MTMathAtom(type: .relation, value: "\u{2290}"), + "sqsubseteq" : MTMathAtom(type: .relation, value: "\u{2291}"), + "sqsupseteq" : MTMathAtom(type: .relation, value: "\u{2292}"), + "models" : MTMathAtom(type: .relation, value: "\u{22A7}"), + "vdash" : MTMathAtom(type: .relation, value: "\u{22A2}"), + "dashv" : MTMathAtom(type: .relation, value: "\u{22A3}"), + "bowtie" : MTMathAtom(type: .relation, value: "\u{22C8}"), + "perp" : MTMathAtom(type: .relation, value: "\u{27C2}"), + "implies" : MTMathAtom(type: .relation, value: "\u{27F9}"), + + // Negated relations (amssymb) + // Inequality negations + "nless" : MTMathAtom(type: .relation, value: "\u{226E}"), + "ngtr" : MTMathAtom(type: .relation, value: "\u{226F}"), + "nleq" : MTMathAtom(type: .relation, value: "\u{2270}"), + "ngeq" : MTMathAtom(type: .relation, value: "\u{2271}"), + "nleqslant" : MTMathAtom(type: .relation, value: "\u{2A87}"), + "ngeqslant" : MTMathAtom(type: .relation, value: "\u{2A88}"), + "lneq" : MTMathAtom(type: .relation, value: "\u{2A87}"), + "gneq" : MTMathAtom(type: .relation, value: "\u{2A88}"), + "lneqq" : MTMathAtom(type: .relation, value: "\u{2268}"), + "gneqq" : MTMathAtom(type: .relation, value: "\u{2269}"), + "lnsim" : MTMathAtom(type: .relation, value: "\u{22E6}"), + "gnsim" : MTMathAtom(type: .relation, value: "\u{22E7}"), + "lnapprox" : MTMathAtom(type: .relation, value: "\u{2A89}"), + "gnapprox" : MTMathAtom(type: .relation, value: "\u{2A8A}"), + + // Ordering negations + "nprec" : MTMathAtom(type: .relation, value: "\u{2280}"), + "nsucc" : MTMathAtom(type: .relation, value: "\u{2281}"), + "npreceq" : MTMathAtom(type: .relation, value: "\u{22E0}"), + "nsucceq" : MTMathAtom(type: .relation, value: "\u{22E1}"), + "precneqq" : MTMathAtom(type: .relation, value: "\u{2AB5}"), + "succneqq" : MTMathAtom(type: .relation, value: "\u{2AB6}"), + "precnsim" : MTMathAtom(type: .relation, value: "\u{22E8}"), + "succnsim" : MTMathAtom(type: .relation, value: "\u{22E9}"), + "precnapprox" : MTMathAtom(type: .relation, value: "\u{2AB9}"), + "succnapprox" : MTMathAtom(type: .relation, value: "\u{2ABA}"), + + // Similarity/congruence negations + "nsim" : MTMathAtom(type: .relation, value: "\u{2241}"), + "ncong" : MTMathAtom(type: .relation, value: "\u{2247}"), + "nmid" : MTMathAtom(type: .relation, value: "\u{2224}"), + "nshortmid" : MTMathAtom(type: .relation, value: "\u{2224}"), + "nparallel" : MTMathAtom(type: .relation, value: "\u{2226}"), + "nshortparallel" : MTMathAtom(type: .relation, value: "\u{2226}"), + + // Set relation negations + "nsubseteq" : MTMathAtom(type: .relation, value: "\u{2288}"), + "nsupseteq" : MTMathAtom(type: .relation, value: "\u{2289}"), + "subsetneq" : MTMathAtom(type: .relation, value: "\u{228A}"), + "supsetneq" : MTMathAtom(type: .relation, value: "\u{228B}"), + "subsetneqq" : MTMathAtom(type: .relation, value: "\u{2ACB}"), + "supsetneqq" : MTMathAtom(type: .relation, value: "\u{2ACC}"), + "varsubsetneq" : MTMathAtom(type: .relation, value: "\u{228A}"), + "varsupsetneq" : MTMathAtom(type: .relation, value: "\u{228B}"), + "varsubsetneqq" : MTMathAtom(type: .relation, value: "\u{2ACB}"), + "varsupsetneqq" : MTMathAtom(type: .relation, value: "\u{2ACC}"), + "notni" : MTMathAtom(type: .relation, value: "\u{220C}"), + "nni" : MTMathAtom(type: .relation, value: "\u{220C}"), + + // Triangle negations + "ntriangleleft" : MTMathAtom(type: .relation, value: "\u{22EA}"), + "ntriangleright" : MTMathAtom(type: .relation, value: "\u{22EB}"), + "ntrianglelefteq" : MTMathAtom(type: .relation, value: "\u{22EC}"), + "ntrianglerighteq" : MTMathAtom(type: .relation, value: "\u{22ED}"), + + // Turnstile negations + "nvdash" : MTMathAtom(type: .relation, value: "\u{22AC}"), + "nvDash" : MTMathAtom(type: .relation, value: "\u{22AD}"), + "nVdash" : MTMathAtom(type: .relation, value: "\u{22AE}"), + "nVDash" : MTMathAtom(type: .relation, value: "\u{22AF}"), + + // Square subset negations + "nsqsubseteq" : MTMathAtom(type: .relation, value: "\u{22E2}"), + "nsqsupseteq" : MTMathAtom(type: .relation, value: "\u{22E3}"), + + // operators + "times" : MTMathAtomFactory.times(), + "div" : MTMathAtomFactory.divide(), + "pm" : MTMathAtom(type: .binaryOperator, value: "\u{00B1}"), + "dagger" : MTMathAtom(type: .binaryOperator, value: "\u{2020}"), + "ddagger" : MTMathAtom(type: .binaryOperator, value: "\u{2021}"), + "mp" : MTMathAtom(type: .binaryOperator, value: "\u{2213}"), + "setminus" : MTMathAtom(type: .binaryOperator, value: "\u{2216}"), + "ast" : MTMathAtom(type: .binaryOperator, value: "\u{2217}"), + "circ" : MTMathAtom(type: .binaryOperator, value: "\u{2218}"), + "bullet" : MTMathAtom(type: .binaryOperator, value: "\u{2219}"), + "wedge" : MTMathAtom(type: .binaryOperator, value: "\u{2227}"), + "vee" : MTMathAtom(type: .binaryOperator, value: "\u{2228}"), + "cap" : MTMathAtom(type: .binaryOperator, value: "\u{2229}"), + "cup" : MTMathAtom(type: .binaryOperator, value: "\u{222A}"), + "wr" : MTMathAtom(type: .binaryOperator, value: "\u{2240}"), + "uplus" : MTMathAtom(type: .binaryOperator, value: "\u{228E}"), + "sqcap" : MTMathAtom(type: .binaryOperator, value: "\u{2293}"), + "sqcup" : MTMathAtom(type: .binaryOperator, value: "\u{2294}"), + "oplus" : MTMathAtom(type: .binaryOperator, value: "\u{2295}"), + "ominus" : MTMathAtom(type: .binaryOperator, value: "\u{2296}"), + "otimes" : MTMathAtom(type: .binaryOperator, value: "\u{2297}"), + "oslash" : MTMathAtom(type: .binaryOperator, value: "\u{2298}"), + "odot" : MTMathAtom(type: .binaryOperator, value: "\u{2299}"), + "star" : MTMathAtom(type: .binaryOperator, value: "\u{22C6}"), + "cdot" : MTMathAtom(type: .binaryOperator, value: "\u{22C5}"), + "diamond" : MTMathAtom(type: .binaryOperator, value: "\u{22C4}"), + "amalg" : MTMathAtom(type: .binaryOperator, value: "\u{2A3F}"), + + // Additional binary operators (amssymb) + "ltimes" : MTMathAtom(type: .binaryOperator, value: "\u{22C9}"), // left semidirect product + "rtimes" : MTMathAtom(type: .binaryOperator, value: "\u{22CA}"), // right semidirect product + "circledast" : MTMathAtom(type: .binaryOperator, value: "\u{229B}"), + "circledcirc" : MTMathAtom(type: .binaryOperator, value: "\u{229A}"), + "circleddash" : MTMathAtom(type: .binaryOperator, value: "\u{229D}"), + "boxdot" : MTMathAtom(type: .binaryOperator, value: "\u{22A1}"), + "boxminus" : MTMathAtom(type: .binaryOperator, value: "\u{229F}"), + "boxplus" : MTMathAtom(type: .binaryOperator, value: "\u{229E}"), + "boxtimes" : MTMathAtom(type: .binaryOperator, value: "\u{22A0}"), + "divideontimes" : MTMathAtom(type: .binaryOperator, value: "\u{22C7}"), + "dotplus" : MTMathAtom(type: .binaryOperator, value: "\u{2214}"), + "lhd" : MTMathAtom(type: .binaryOperator, value: "\u{22B2}"), // left normal subgroup + "rhd" : MTMathAtom(type: .binaryOperator, value: "\u{22B3}"), // right normal subgroup + "unlhd" : MTMathAtom(type: .binaryOperator, value: "\u{22B4}"), // left normal subgroup or equal + "unrhd" : MTMathAtom(type: .binaryOperator, value: "\u{22B5}"), // right normal subgroup or equal + "intercal" : MTMathAtom(type: .binaryOperator, value: "\u{22BA}"), + "barwedge" : MTMathAtom(type: .binaryOperator, value: "\u{22BC}"), + "veebar" : MTMathAtom(type: .binaryOperator, value: "\u{22BB}"), + "curlywedge" : MTMathAtom(type: .binaryOperator, value: "\u{22CF}"), + "curlyvee" : MTMathAtom(type: .binaryOperator, value: "\u{22CE}"), + "doublebarwedge" : MTMathAtom(type: .binaryOperator, value: "\u{2A5E}"), + "centerdot" : MTMathAtom(type: .binaryOperator, value: "\u{22C5}"), // alias for cdot + + // No limit operators + "log" : MTMathAtomFactory.operatorWithName( "log", limits: false), + "lg" : MTMathAtomFactory.operatorWithName( "lg", limits: false), + "ln" : MTMathAtomFactory.operatorWithName( "ln", limits: false), + "sin" : MTMathAtomFactory.operatorWithName( "sin", limits: false), + "arcsin" : MTMathAtomFactory.operatorWithName( "arcsin", limits: false), + "sinh" : MTMathAtomFactory.operatorWithName( "sinh", limits: false), + "cos" : MTMathAtomFactory.operatorWithName( "cos", limits: false), + "arccos" : MTMathAtomFactory.operatorWithName( "arccos", limits: false), + "cosh" : MTMathAtomFactory.operatorWithName( "cosh", limits: false), + "tan" : MTMathAtomFactory.operatorWithName( "tan", limits: false), + "arctan" : MTMathAtomFactory.operatorWithName( "arctan", limits: false), + "tanh" : MTMathAtomFactory.operatorWithName( "tanh", limits: false), + "cot" : MTMathAtomFactory.operatorWithName( "cot", limits: false), + "coth" : MTMathAtomFactory.operatorWithName( "coth", limits: false), + "sec" : MTMathAtomFactory.operatorWithName( "sec", limits: false), + "csc" : MTMathAtomFactory.operatorWithName( "csc", limits: false), + // Additional inverse trig functions + "arccot" : MTMathAtomFactory.operatorWithName( "arccot", limits: false), + "arcsec" : MTMathAtomFactory.operatorWithName( "arcsec", limits: false), + "arccsc" : MTMathAtomFactory.operatorWithName( "arccsc", limits: false), + // Additional hyperbolic functions + "sech" : MTMathAtomFactory.operatorWithName( "sech", limits: false), + "csch" : MTMathAtomFactory.operatorWithName( "csch", limits: false), + // Inverse hyperbolic functions + "arcsinh" : MTMathAtomFactory.operatorWithName( "arcsinh", limits: false), + "arccosh" : MTMathAtomFactory.operatorWithName( "arccosh", limits: false), + "arctanh" : MTMathAtomFactory.operatorWithName( "arctanh", limits: false), + "arccoth" : MTMathAtomFactory.operatorWithName( "arccoth", limits: false), + "arcsech" : MTMathAtomFactory.operatorWithName( "arcsech", limits: false), + "arccsch" : MTMathAtomFactory.operatorWithName( "arccsch", limits: false), + "arg" : MTMathAtomFactory.operatorWithName( "arg", limits: false), + "ker" : MTMathAtomFactory.operatorWithName( "ker", limits: false), + "dim" : MTMathAtomFactory.operatorWithName( "dim", limits: false), + "hom" : MTMathAtomFactory.operatorWithName( "hom", limits: false), + "exp" : MTMathAtomFactory.operatorWithName( "exp", limits: false), + "deg" : MTMathAtomFactory.operatorWithName( "deg", limits: false), + "mod" : MTMathAtomFactory.operatorWithName("mod", limits: false), + + // Limit operators + "lim" : MTMathAtomFactory.operatorWithName( "lim", limits: true), + "limsup" : MTMathAtomFactory.operatorWithName( "lim sup", limits: true), + "liminf" : MTMathAtomFactory.operatorWithName( "lim inf", limits: true), + "max" : MTMathAtomFactory.operatorWithName( "max", limits: true), + "min" : MTMathAtomFactory.operatorWithName( "min", limits: true), + "sup" : MTMathAtomFactory.operatorWithName( "sup", limits: true), + "inf" : MTMathAtomFactory.operatorWithName( "inf", limits: true), + "det" : MTMathAtomFactory.operatorWithName( "det", limits: true), + "Pr" : MTMathAtomFactory.operatorWithName( "Pr", limits: true), + "gcd" : MTMathAtomFactory.operatorWithName( "gcd", limits: true), + + // Large operators + "prod" : MTMathAtomFactory.operatorWithName( "\u{220F}", limits: true), + "coprod" : MTMathAtomFactory.operatorWithName( "\u{2210}", limits: true), + "sum" : MTMathAtomFactory.operatorWithName( "\u{2211}", limits: true), + "int" : MTMathAtomFactory.operatorWithName( "\u{222B}", limits: false), + "iint" : MTMathAtomFactory.operatorWithName( "\u{222C}", limits: false), + "iiint" : MTMathAtomFactory.operatorWithName( "\u{222D}", limits: false), + "iiiint" : MTMathAtomFactory.operatorWithName( "\u{2A0C}", limits: false), + "oint" : MTMathAtomFactory.operatorWithName( "\u{222E}", limits: false), + "bigwedge" : MTMathAtomFactory.operatorWithName( "\u{22C0}", limits: true), + "bigvee" : MTMathAtomFactory.operatorWithName( "\u{22C1}", limits: true), + "bigcap" : MTMathAtomFactory.operatorWithName( "\u{22C2}", limits: true), + "bigcup" : MTMathAtomFactory.operatorWithName( "\u{22C3}", limits: true), + "bigodot" : MTMathAtomFactory.operatorWithName( "\u{2A00}", limits: true), + "bigoplus" : MTMathAtomFactory.operatorWithName( "\u{2A01}", limits: true), + "bigotimes" : MTMathAtomFactory.operatorWithName( "\u{2A02}", limits: true), + "biguplus" : MTMathAtomFactory.operatorWithName( "\u{2A04}", limits: true), + "bigsqcup" : MTMathAtomFactory.operatorWithName( "\u{2A06}", limits: true), + + // Latex command characters + "{" : MTMathAtom(type: .open, value: "{"), + "}" : MTMathAtom(type: .close, value: "}"), + "$" : MTMathAtom(type: .ordinary, value: "$"), + "&" : MTMathAtom(type: .ordinary, value: "&"), + "#" : MTMathAtom(type: .ordinary, value: "#"), + "%" : MTMathAtom(type: .ordinary, value: "%"), + "_" : MTMathAtom(type: .ordinary, value: "_"), + " " : MTMathAtom(type: .ordinary, value: " "), + "backslash" : MTMathAtom(type: .ordinary, value: "\\"), + + // Punctuation + // Note: \colon is different from : which is a relation + "colon" : MTMathAtom(type: .punctuation, value: ":"), + "cdotp" : MTMathAtom(type: .punctuation, value: "\u{00B7}"), + + // Other symbols + "degree" : MTMathAtom(type: .ordinary, value: "\u{00B0}"), + "neg" : MTMathAtom(type: .ordinary, value: "\u{00AC}"), + "angstrom" : MTMathAtom(type: .ordinary, value: "\u{00C5}"), + "aa" : MTMathAtom(type: .ordinary, value: "\u{00E5}"), // NEW å + "ae" : MTMathAtom(type: .ordinary, value: "\u{00E6}"), // NEW æ + "o" : MTMathAtom(type: .ordinary, value: "\u{00F8}"), // NEW ø + "oe" : MTMathAtom(type: .ordinary, value: "\u{0153}"), // NEW œ + "ss" : MTMathAtom(type: .ordinary, value: "\u{00DF}"), // NEW ß + "cc" : MTMathAtom(type: .ordinary, value: "\u{00E7}"), // NEW ç + "CC" : MTMathAtom(type: .ordinary, value: "\u{00C7}"), // NEW Ç + "O" : MTMathAtom(type: .ordinary, value: "\u{00D8}"), // NEW Ø + "AE" : MTMathAtom(type: .ordinary, value: "\u{00C6}"), // NEW Æ + "OE" : MTMathAtom(type: .ordinary, value: "\u{0152}"), // NEW Œ + "|" : MTMathAtom(type: .ordinary, value: "\u{2016}"), + "vert" : MTMathAtom(type: .ordinary, value: "|"), + "ldots" : MTMathAtom(type: .ordinary, value: "\u{2026}"), + "prime" : MTMathAtom(type: .ordinary, value: "\u{2032}"), + "hbar" : MTMathAtom(type: .ordinary, value: "\u{210F}"), + "lbar" : MTMathAtom(type: .ordinary, value: "\u{019B}"), // NEW ƛ + "Im" : MTMathAtom(type: .ordinary, value: "\u{2111}"), + "ell" : MTMathAtom(type: .ordinary, value: "\u{2113}"), + "wp" : MTMathAtom(type: .ordinary, value: "\u{2118}"), + "Re" : MTMathAtom(type: .ordinary, value: "\u{211C}"), + "mho" : MTMathAtom(type: .ordinary, value: "\u{2127}"), + "aleph" : MTMathAtom(type: .ordinary, value: "\u{2135}"), + "beth" : MTMathAtom(type: .ordinary, value: "\u{2136}"), + "gimel" : MTMathAtom(type: .ordinary, value: "\u{2137}"), + "daleth" : MTMathAtom(type: .ordinary, value: "\u{2138}"), + "forall" : MTMathAtom(type: .ordinary, value: "\u{2200}"), + "exists" : MTMathAtom(type: .ordinary, value: "\u{2203}"), + "nexists" : MTMathAtom(type: .ordinary, value: "\u{2204}"), + "emptyset" : MTMathAtom(type: .ordinary, value: "\u{2205}"), + "varnothing" : MTMathAtom(type: .ordinary, value: "\u{2205}"), + "nabla" : MTMathAtom(type: .ordinary, value: "\u{2207}"), + "infty" : MTMathAtom(type: .ordinary, value: "\u{221E}"), + "angle" : MTMathAtom(type: .ordinary, value: "\u{2220}"), + "measuredangle" : MTMathAtom(type: .ordinary, value: "\u{2221}"), + "top" : MTMathAtom(type: .ordinary, value: "\u{22A4}"), + "bot" : MTMathAtom(type: .ordinary, value: "\u{22A5}"), + "vdots" : MTMathAtom(type: .ordinary, value: "\u{22EE}"), + "cdots" : MTMathAtom(type: .ordinary, value: "\u{22EF}"), + "ddots" : MTMathAtom(type: .ordinary, value: "\u{22F1}"), + "triangle" : MTMathAtom(type: .ordinary, value: "\u{25B3}"), + "Box" : MTMathAtom(type: .ordinary, value: "\u{25A1}"), + "imath" : MTMathAtom(type: .ordinary, value: "\u{0001D6A4}"), + "jmath" : MTMathAtom(type: .ordinary, value: "\u{0001D6A5}"), + "upquote" : MTMathAtom(type: .ordinary, value: "\u{0027}"), + "partial" : MTMathAtom(type: .ordinary, value: "\u{0001D715}"), + + // Spacing + "," : MTMathSpace(space: 3), + ">" : MTMathSpace(space: 4), + ";" : MTMathSpace(space: 5), + "!" : MTMathSpace(space: -3), + "quad" : MTMathSpace(space: 18), // quad = 1em = 18mu + "qquad" : MTMathSpace(space: 36), // qquad = 2em + + // Style + "displaystyle" : MTMathStyle(style: .display), + "textstyle" : MTMathStyle(style: .text), + "scriptstyle" : MTMathStyle(style: .script), + "scriptscriptstyle" : MTMathStyle(style: .scriptOfScript), + ] + + static var supportedAccentedCharacters: [Character: (String, String)] = [ + // Acute accents + "á": ("acute", "a"), "é": ("acute", "e"), "í": ("acute", "i"), + "ó": ("acute", "o"), "ú": ("acute", "u"), "ý": ("acute", "y"), + + // Grave accents + "à": ("grave", "a"), "è": ("grave", "e"), "ì": ("grave", "i"), + "ò": ("grave", "o"), "ù": ("grave", "u"), + + // Circumflex + "â": ("hat", "a"), "ê": ("hat", "e"), "î": ("hat", "i"), + "ĵ": ("hat", "j"), // j with circumflex (Esperanto) + "ô": ("hat", "o"), "û": ("hat", "u"), + + // Umlaut/dieresis + "ä": ("ddot", "a"), "ë": ("ddot", "e"), "ï": ("ddot", "i"), + "ö": ("ddot", "o"), "ü": ("ddot", "u"), "ÿ": ("ddot", "y"), + + // Tilde + "ã": ("tilde", "a"), "ñ": ("tilde", "n"), "õ": ("tilde", "o"), + + // Special characters + "ç": ("cc", ""), "ø": ("o", ""), "å": ("aa", ""), "æ": ("ae", ""), + "œ": ("oe", ""), "ß": ("ss", ""), + "'": ("upquote", ""), // this may be dangerous in math mode + + // Upper case variants + "Á": ("acute", "A"), "É": ("acute", "E"), "Í": ("acute", "I"), + "Ó": ("acute", "O"), "Ú": ("acute", "U"), "Ý": ("acute", "Y"), + "À": ("grave", "A"), "È": ("grave", "E"), "Ì": ("grave", "I"), + "Ò": ("grave", "O"), "Ù": ("grave", "U"), + "Â": ("hat", "A"), "Ê": ("hat", "E"), "Î": ("hat", "I"), + "Ô": ("hat", "O"), "Û": ("hat", "U"), + "Ä": ("ddot", "A"), "Ë": ("ddot", "E"), "Ï": ("ddot", "I"), + "Ö": ("ddot", "O"), "Ü": ("ddot", "U"), + "Ã": ("tilde", "A"), "Ñ": ("tilde", "N"), "Õ": ("tilde", "O"), + "Ç": ("CC", ""), + "Ø": ("O", ""), + "Å": ("AA", ""), + "Æ": ("AE", ""), + "Œ": ("OE", ""), + ] + + private static let textToLatexLock = NSLock() + static var _textToLatexSymbolName: [String: String]? = nil + public static var textToLatexSymbolName: [String: String] { + get { + if self._textToLatexSymbolName == nil { + var output = [String: String]() + for (key, atom) in Self.supportedLatexSymbols { + if atom.nucleus.count == 0 { + continue + } + if let existingText = output[atom.nucleus] { + // If there are 2 key for the same symbol, choose one deterministically. + if key.count > existingText.count { + // Keep the shorter command + continue + } else if key.count == existingText.count { + // If the length is the same, keep the alphabetically first + if key.compare(existingText) == .orderedDescending { + continue + } + } + } + output[atom.nucleus] = key + } + // protect lazily loading table in a multi-thread concurrent environment + textToLatexLock.lock() + defer { textToLatexLock.unlock() } + if self._textToLatexSymbolName == nil { + self._textToLatexSymbolName = output + } + } + return self._textToLatexSymbolName! + } + // make textToLatexSymbolName readonly (allows internal load) + // entries can be lazily added with NSLock protection. + // set { + // self._textToLatexSymbolName = newValue + // } + } + + // public static let sharedInstance = MTMathAtomFactory() + + static let fontStyles : [String: MTFontStyle] = [ + "mathnormal" : .defaultStyle, + "mathrm": .roman, + "textrm": .roman, + "rm": .roman, + "mathbf": .bold, + "bf": .bold, + "textbf": .bold, + "mathcal": .caligraphic, + "cal": .caligraphic, + "mathtt": .typewriter, + "texttt": .typewriter, + "mathit": .italic, + "textit": .italic, + "mit": .italic, + "mathsf": .sansSerif, + "textsf": .sansSerif, + "mathfrak": .fraktur, + "frak": .fraktur, + "mathbb": .blackboard, + "mathbfit": .boldItalic, + "bm": .boldItalic, + "boldsymbol": .boldItalic, + "text": .roman, + // Note: operatorname is handled specially in MTMathListBuilder to create proper operators + ] + + public static func fontStyleWithName(_ fontName:String) -> MTFontStyle? { + fontStyles[fontName] + } + + public static func fontNameForStyle(_ fontStyle:MTFontStyle) -> String { + switch fontStyle { + case .defaultStyle: return "mathnormal" + case .roman: return "mathrm" + case .bold: return "mathbf" + case .fraktur: return "mathfrak" + case .caligraphic: return "mathcal" + case .italic: return "mathit" + case .sansSerif: return "mathsf" + case .blackboard: return "mathbb" + case .typewriter: return "mathtt" + case .boldItalic: return "bm" + } + } + + /// Returns an atom for the multiplication sign (i.e., \times or "*") + public static func times() -> MTMathAtom { + MTMathAtom(type: .binaryOperator, value: UnicodeSymbol.multiplication) + } + + /// Returns an atom for the division sign (i.e., \div or "/") + public static func divide() -> MTMathAtom { + MTMathAtom(type: .binaryOperator, value: UnicodeSymbol.division) + } + + /// Returns an atom which is a placeholder square + public static func placeholder() -> MTMathAtom { + MTMathAtom(type: .placeholder, value: UnicodeSymbol.whiteSquare) + } + + /** Returns a fraction with a placeholder for the numerator and denominator */ + public static func placeholderFraction() -> MTFraction { + let frac = MTFraction() + frac.numerator = MTMathList() + frac.numerator?.add(placeholder()) + frac.denominator = MTMathList() + frac.denominator?.add(placeholder()) + return frac + } + + /** Returns a square root with a placeholder as the radicand. */ + public static func placeholderSquareRoot() -> MTRadical { + let rad = MTRadical() + rad.radicand = MTMathList() + rad.radicand?.add(placeholder()) + return rad + } + + /** Returns a radical with a placeholder as the radicand. */ + public static func placeholderRadical() -> MTRadical { + let rad = MTRadical() + rad.radicand = MTMathList() + rad.degree = MTMathList() + rad.radicand?.add(placeholder()) + rad.degree?.add(placeholder()) + return rad + } + + /// Latin Small Letter Dotless I (U+0131) - base character that can be styled + private static let dotlessI: Character = "\u{0131}" + /// Latin Small Letter Dotless J (U+0237) - base character that can be styled + private static let dotlessJ: Character = "\u{0237}" + + public static func atom(fromAccentedCharacter ch: Character) -> MTMathAtom? { + if let symbol = supportedAccentedCharacters[ch] { + // first handle any special characters + if let atom = atom(forLatexSymbol: symbol.0) { + return atom + } + + if let accent = MTMathAtomFactory.accent(withName: symbol.0) { + // The command is an accent + let list = MTMathList() + let baseChar = Array(symbol.1)[0] + // Use dotless variants for 'i' and 'j' to avoid double dots with accents. + // We use the base Latin dotless characters (U+0131, U+0237) rather than + // the pre-styled mathematical italic versions (U+1D6A4, U+1D6A5) so that + // font style (roman, bold, etc.) is properly applied during rendering. + if baseChar == "i" { + list.add(MTMathAtom(type: .ordinary, value: String(dotlessI))) + } else if baseChar == "j" { + list.add(MTMathAtom(type: .ordinary, value: String(dotlessJ))) + } else { + list.add(atom(forCharacter: baseChar)) + } + accent.innerList = list + return accent + } + } + return nil + } + + // MARK: - + /** Gets the atom with the right type for the given character. If an atom + cannot be determined for a given character this returns nil. + This function follows latex conventions for assigning types to the atoms. + The following characters are not supported and will return nil: + - Any non-ascii character. + - Any control character or spaces (< 0x21) + - Latex control chars: $ % # & ~ ' + - Chars with special meaning in latex: ^ _ { } \ + All other characters, including those with accents, will have a non-nil atom returned. + */ + public static func atom(forCharacter ch: Character) -> MTMathAtom? { + let chStr = String(ch) + switch chStr { + case "\u{0410}"..."\u{044F}": + // Cyrillic alphabet + return MTMathAtom(type: .ordinary, value: chStr) + case _ where supportedAccentedCharacters.keys.contains(ch): + // support for áéíóúýàèìòùâêîôûäëïöüÿãñõçøåæœß'ÁÉÍÓÚÝÀÈÌÒÙÂÊÎÔÛÄËÏÖÜÃÑÕÇØÅÆŒ + return atom(fromAccentedCharacter: ch) + case _ where ch.utf32Char < 0x0021 || ch.utf32Char > 0x007E: + return nil + case "$", "%", "#", "&", "~", "\'", "^", "_", "{", "}", "\\": + return nil + case "(", "[": + return MTMathAtom(type: .open, value: chStr) + case ")", "]", "!", "?": + return MTMathAtom(type: .close, value: chStr) + case ",", ";": + return MTMathAtom(type: .punctuation, value: chStr) + case "=", ">", "<": + return MTMathAtom(type: .relation, value: chStr) + case ":": + // Math colon is ratio. Regular colon is \colon + return MTMathAtom(type: .relation, value: "\u{2236}") + case "-": + return MTMathAtom(type: .binaryOperator, value: "\u{2212}") + case "+", "*": + return MTMathAtom(type: .binaryOperator, value: chStr) + case ".", "0"..."9": + return MTMathAtom(type: .number, value: chStr) + case "a"..."z", "A"..."Z": + return MTMathAtom(type: .variable, value: chStr) + case "\"", "/", "@", "`", "|": + return MTMathAtom(type: .ordinary, value: chStr) + default: + assertionFailure("Unknown ASCII character '\(ch)'. Should have been handled earlier.") + return nil + } + } + + /** Returns a `MTMathList` with one atom per character in the given string. This function + does not do any LaTeX conversion or interpretation. It simply uses `atom(forCharacter:)` to + convert the characters to atoms. Any character that cannot be converted is ignored. */ + public static func atomList(for string: String) -> MTMathList { + let list = MTMathList() + for character in string { + if let newAtom = atom(forCharacter: character) { + list.add(newAtom) + } + } + return list + } + + /** Returns an atom with the right type for a given latex symbol (e.g. theta) + If the latex symbol is unknown this will return nil. This supports LaTeX aliases as well. + */ + public static func atom(forLatexSymbol name: String) -> MTMathAtom? { + var name = name + if let canonicalName = aliases[name] { + name = canonicalName + } + if let atom = supportedLatexSymbols[name] { + return atom.copy() + } + return nil + } + + /** Finds the name of the LaTeX symbol name for the given atom. This function is a reverse + of the above function. If no latex symbol name corresponds to the atom, then this returns `nil` + If nucleus of the atom is empty, then this will return `nil`. + Note: This is not an exact reverse of the above in the case of aliases. If an LaTeX alias + points to a given symbol, then this function will return the original symbol name and not the + alias. + Note: This function does not convert MathSpaces to latex command names either. + */ + public static func latexSymbolName(for atom: MTMathAtom) -> String? { + guard !atom.nucleus.isEmpty else { return nil } + return Self.textToLatexSymbolName[atom.nucleus] + } + + /** Define a latex symbol for rendering. This function allows defining custom symbols that are + not already present in the default set, or override existing symbols with new meaning. + e.g. to define a symbol for "lcm" one can call: + `MTMathAtomFactory.add(latexSymbol:"lcm", value:MTMathAtomFactory.operatorWithName("lcm", limits: false))` */ + public static func add(latexSymbol name: String, value: MTMathAtom) { + let _ = Self.textToLatexSymbolName + // above force textToLatexSymbolName to initialise first, _textToLatexSymbolName also initialized. + // protect lazily loading table in a multi-thread concurrent environment + textToLatexLock.lock() + defer { textToLatexLock.unlock() } + supportedLatexSymbols[name] = value + Self._textToLatexSymbolName?[value.nucleus] = name + } + + /** Returns a large opertor for the given name. If limits is true, limits are set up on + the operator and displayed differently. */ + public static func operatorWithName(_ name: String, limits: Bool) -> MTLargeOperator { + MTLargeOperator(value: name, limits: limits) + } + + /** Returns an accent with the given name. The name of the accent is the LaTeX name + such as `grave`, `hat` etc. If the name is not a recognized accent name, this + returns nil. The `innerList` of the returned `MTAccent` is nil. + */ + public static func accent(withName name: String) -> MTAccent? { + if let accentValue = accents[name] { + let accent = MTAccent(value: accentValue) + // Mark stretchy arrow accents (\overleftarrow, \overrightarrow, \overleftrightarrow) + // These should stretch to match content width + // \vec is NOT stretchy - it should use a small fixed-size arrow + let stretchyAccents: Set = ["overleftarrow", "overrightarrow", "overleftrightarrow"] + accent.isStretchy = stretchyAccents.contains(name) + + // Mark wide accents (\widehat, \widetilde, \widecheck) + // These should stretch horizontally to cover content width + // \hat, \tilde, \check are NOT wide - they use fixed-size accents + let wideAccents: Set = ["widehat", "widetilde", "widecheck"] + accent.isWide = wideAccents.contains(name) + + return accent + } + return nil + } + + /** Returns the accent name for the given accent. This is the reverse of the above + function. */ + public static func accentName(_ accent: MTAccent) -> String? { + accentValueToName[accent.nucleus] + } + + /** Creates a new boundary atom for the given delimiter name. If the delimiter name + is not recognized it returns nil. A delimiter name can be a single character such + as '(' or a latex command such as 'uparrow'. + @note In order to distinguish between the delimiter '|' and the delimiter '\|' the delimiter '\|' + the has been renamed to '||'. + */ + public static func boundary(forDelimiter name: String) -> MTMathAtom? { + if let delimValue = Self.delimiters[name] { + return MTMathAtom(type: .boundary, value: delimValue) + } + return nil + } + + /** Returns the delimiter name for a boundary atom. This is a reverse of the above function. + If the atom is not a boundary atom or if the delimiter value is unknown this returns `nil`. + @note This is not an exact reverse of the above function. Some delimiters have two names (e.g. + `<` and `langle`) and this function always returns the shorter name. + */ + public static func getDelimiterName(of boundary: MTMathAtom) -> String? { + guard boundary.type == .boundary else { return nil } + return Self.delimValueToName[boundary.nucleus] + } + + /** Returns a fraction with the given numerator and denominator. */ + public static func fraction(withNumerator num: MTMathList, denominator denom: MTMathList) -> MTFraction { + let frac = MTFraction() + frac.numerator = num + frac.denominator = denom + return frac + } + + public static func mathListForCharacters(_ chars:String) -> MTMathList? { + let list = MTMathList() + for ch in chars { + if let atom = self.atom(forCharacter: ch) { + list.add(atom) + } + } + return list + } + + /** Simplification of above function when numerator and denominator are simple strings. + This function converts the strings to a `MTFraction`. */ + public static func fraction(withNumeratorString numStr: String, denominatorString denomStr: String) -> MTFraction { + let num = Self.atomList(for: numStr) + let denom = Self.atomList(for: denomStr) + return Self.fraction(withNumerator: num, denominator: denom) + } + + + static let matrixEnvs = [ + "matrix": [], + "pmatrix": ["(", ")"], + "bmatrix": ["[", "]"], + "Bmatrix": ["{", "}"], + "vmatrix": ["vert", "vert"], + "Vmatrix": ["Vert", "Vert"], + "smallmatrix": [], + // Starred versions with optional alignment + "matrix*": [], + "pmatrix*": ["(", ")"], + "bmatrix*": ["[", "]"], + "Bmatrix*": ["{", "}"], + "vmatrix*": ["vert", "vert"], + "Vmatrix*": ["Vert", "Vert"] + ] + + /** Builds a table for a given environment with the given rows. Returns a `MTMathAtom` containing the + table and any other atoms necessary for the given environment. Returns nil and sets error + if the table could not be built. + @param env The environment to use to build the table. If the env is nil, then the default table is built. + @note The reason this function returns a `MTMathAtom` and not a `MTMathTable` is because some + matrix environments are have builtin delimiters added to the table and hence are returned as inner atoms. + + Column constraints by environment (matching KaTeX behavior): + - `aligned`, `eqalign`: Any number of columns (1, 2, 3, 4+) with r-l-r-l alignment pattern + - `split`: Maximum 2 columns with r-l alignment + - `gather`, `displaylines`: Exactly 1 column, centered + - `cases`: 1 or 2 columns, left-aligned + - `eqnarray`: Exactly 3 columns with r-c-l alignment + */ + public static func table(withEnvironment env: String?, alignment: MTColumnAlignment? = nil, rows: [[MTMathList]], error:inout NSError?) -> MTMathAtom? { + let table = MTMathTable(environment: env) + + for i in 0.. 2 { + let message = "split environment can have at most 2 columns" + if error == nil { + error = NSError(domain: MTParseError, code: MTParseErrors.invalidNumColumns.rawValue, userInfo: [NSLocalizedDescriptionKey:message]) + } + return nil + } + + let spacer = MTMathAtom(type: .ordinary, value: "") + + // Add spacer at beginning of odd-indexed columns (1, 3, 5, ...) + // This matches KaTeX behavior for binary operator spacing + for i in 0.. CGSize { + CGSize(width: displayList.width + contentInsets.left + contentInsets.right, + height: displayList.ascent + displayList.descent + contentInsets.top + contentInsets.bottom) + } + public func asImage() -> (NSError?, MTImage?) { + func layoutImage(size: CGSize, displayList: MTMathListDisplay) { + var textX = CGFloat(0) + switch self.textAlignment { + case .left: textX = contentInsets.left + case .center: textX = (size.width - contentInsets.left - contentInsets.right - displayList.width) / 2 + contentInsets.left + case .right: textX = size.width - displayList.width - contentInsets.right + } + let availableHeight = size.height - contentInsets.bottom - contentInsets.top + + // center things vertically + var height = displayList.ascent + displayList.descent + if height < fontSize/2 { + height = fontSize/2 // set height to half the font size + } + let textY = (availableHeight - height) / 2 + displayList.descent + contentInsets.bottom + displayList.position = CGPoint(x: textX, y: textY) + } + + var error: NSError? + guard let mathList = MTMathListBuilder.build(fromString: latex, error: &error), error == nil, + let displayList = MTTypesetter.createLineForMathList(mathList, font: font, style: currentStyle) else { + return (error, nil) + } + + intrinsicContentSize = intrinsicContentSize(displayList) + displayList.textColor = textColor + + let size = intrinsicContentSize + layoutImage(size: size, displayList: displayList) + + #if os(iOS) || os(visionOS) + let renderer = UIGraphicsImageRenderer(size: size) + let image = renderer.image { rendererContext in + rendererContext.cgContext.saveGState() + rendererContext.cgContext.concatenate(.flippedVertically(size.height)) + displayList.draw(rendererContext.cgContext) + rendererContext.cgContext.restoreGState() + } + return (nil, image) + #endif + #if os(macOS) + let image = NSImage(size: size, flipped: false) { bounds in + guard let context = NSGraphicsContext.current?.cgContext else { return false } + context.saveGState() + displayList.draw(context) + context.restoreGState() + return true + } + return (nil, image) + #endif + } +} +private extension CGAffineTransform { + static func flippedVertically(_ height: CGFloat) -> CGAffineTransform { + var transform = CGAffineTransform(scaleX: 1, y: -1) + transform = transform.translatedBy(x: 0, y: -height) + return transform + } +} diff --git a/third-party/SwiftMath/Sources/MathRender/MTMathList.swift b/third-party/SwiftMath/Sources/MathRender/MTMathList.swift new file mode 100644 index 0000000000..9feb02db5c --- /dev/null +++ b/third-party/SwiftMath/Sources/MathRender/MTMathList.swift @@ -0,0 +1,1058 @@ +// +// Created by Mike Griebling on 2022-12-31. +// Translated from an Objective-C implementation by Kostub Deshmukh. +// +// This software may be modified and distributed under the terms of the +// MIT license. See the LICENSE file for details. +// + +import Foundation + +/** + The type of atom in a `MTMathList`. + + The type of the atom determines how it is rendered, and spacing between the atoms. + */ +public enum MTMathAtomType: Int, CustomStringConvertible, Comparable { + /// A number or text in ordinary format - Ord in TeX + case ordinary = 1 + /// A number - Does not exist in TeX + case number + /// A variable (i.e. text in italic format) - Does not exist in TeX + case variable + /// A large operator such as (sin/cos, integral etc.) - Op in TeX + case largeOperator + /// A binary operator - Bin in TeX + case binaryOperator + /// A unary operator - Does not exist in TeX. + case unaryOperator + /// A relation, e.g. = > < etc. - Rel in TeX + case relation + /// Open brackets - Open in TeX + case open + /// Close brackets - Close in TeX + case close + /// A fraction e.g 1/2 - generalized fraction node in TeX + case fraction + /// A radical operator e.g. sqrt(2) + case radical + /// Punctuation such as , - Punct in TeX + case punctuation + /// A placeholder square for future input. Does not exist in TeX + case placeholder + /// An inner atom, i.e. an embedded math list - Inner in TeX + case inner + /// An underlined atom - Under in TeX + case underline + /// An overlined atom - Over in TeX + case overline + /// An accented atom - Accent in TeX + case accent + + // Atoms after this point do not support subscripts or superscripts + + /// A left atom - Left & Right in TeX. We don't need two since we track boundaries separately. + case boundary = 101 + + // Atoms after this are non-math TeX nodes that are still useful in math mode. They do not have + // the usual structure. + + /// Spacing between math atoms. This denotes both glue and kern for TeX. We do not + /// distinguish between glue and kern. + case space = 201 + + /// Denotes style changes during rendering. + case style + case color + case textcolor + case colorBox + + // Atoms after this point are not part of TeX and do not have the usual structure. + + /// An table atom. This atom does not exist in TeX. It is equivalent to the TeX command + /// halign which is handled outside of the TeX math rendering engine. We bring it into our + /// math typesetting to handle matrices and other tables. + case table = 1001 + + func isNotBinaryOperator() -> Bool { + switch self { + case .binaryOperator, .relation, .open, .punctuation, .largeOperator: return true + default: return false + } + } + + func isScriptAllowed() -> Bool { self < .boundary } + + // we want string representations to be capitalized + public var description: String { + switch self { + case .ordinary: return "Ordinary" + case .number: return "Number" + case .variable: return "Variable" + case .largeOperator: return "Large Operator" + case .binaryOperator: return "Binary Operator" + case .unaryOperator: return "Unary Operator" + case .relation: return "Relation" + case .open: return "Open" + case .close: return "Close" + case .fraction: return "Fraction" + case .radical: return "Radical" + case .punctuation: return "Punctuation" + case .placeholder: return "Placeholder" + case .inner: return "Inner" + case .underline: return "Underline" + case .overline: return "Overline" + case .accent: return "Accent" + case .boundary: return "Boundary" + case .space: return "Space" + case .style: return "Style" + case .color: return "Color" + case .textcolor: return "TextColor" + case .colorBox: return "Colorbox" + case .table: return "Table" + } + } + + // comparable support + public static func < (lhs: MTMathAtomType, rhs: MTMathAtomType) -> Bool { lhs.rawValue < rhs.rawValue } +} + +/** + The font style of a character. + + The fontstyle of the atom determines what style the character is rendered in. This only applies to atoms + of type kMTMathAtomVariable and kMTMathAtomNumber. None of the other atom types change their font style. + */ +public enum MTFontStyle:Int { + /// The default latex rendering style. i.e. variables are italic and numbers are roman. + case defaultStyle = 0, + /// Roman font style i.e. \mathrm + roman, + /// Bold font style i.e. \mathbf + bold, + /// Caligraphic font style i.e. \mathcal + caligraphic, + /// Typewriter (monospace) style i.e. \mathtt + typewriter, + /// Italic style i.e. \mathit + italic, + /// San-serif font i.e. \mathss + sansSerif, + /// Fractur font i.e \mathfrak + fraktur, + /// Blackboard font i.e. \mathbb + blackboard, + /// Bold italic + boldItalic +} + +// MARK: - MTMathAtom + +/** A `MTMathAtom` is the basic unit of a math list. Each atom represents a single character + or mathematical operator in a list. However certain atoms can represent more complex structures + such as fractions and radicals. Each atom has a type which determines how the atom is rendered and + a nucleus. The nucleus contains the character(s) that need to be rendered. However the nucleus may + be empty for certain types of atoms. An atom has an optional subscript or superscript which represents + the subscript or superscript that is to be rendered. + + Certain types of atoms inherit from `MTMathAtom` and may have additional fields. + */ +public class MTMathAtom: NSObject { + /** The type of the atom. */ + public var type = MTMathAtomType.ordinary + /** An optional subscript. */ + public var subScript: MTMathList? { + didSet { + if subScript != nil && !self.isScriptAllowed() { + subScript = nil + NSException(name: NSExceptionName(rawValue: "Error"), reason: "Subscripts not allowed for atom of type \(self.type)").raise() + } + } + } + /** An optional superscript. */ + public var superScript: MTMathList? { + didSet { + if superScript != nil && !self.isScriptAllowed() { + superScript = nil + NSException(name: NSExceptionName(rawValue: "Error"), reason: "Superscripts not allowed for atom of type \(self.type)").raise() + } + } + } + + /** The nucleus of the atom. */ + public var nucleus: String = "" + + /// The index range in the MTMathList this MTMathAtom tracks. This is used by the finalizing and preprocessing steps + /// which fuse MTMathAtoms to track the position of the current MTMathAtom in the original list. + public var indexRange = NSRange(location: 0, length: 0) // indexRange in list that this atom tracks: + + /** The font style to be used for the atom. */ + var fontStyle: MTFontStyle = .defaultStyle + + /// If this atom was formed by fusion of multiple atoms, then this stores the list of atoms that were fused to create this one. + /// This is used in the finalizing and preprocessing steps. + var fusedAtoms = [MTMathAtom]() + + init(_ atom:MTMathAtom?) { + guard let atom = atom else { return } + self.type = atom.type + self.nucleus = atom.nucleus + self.subScript = MTMathList(atom.subScript) + self.superScript = MTMathList(atom.superScript) + self.indexRange = atom.indexRange + self.fontStyle = atom.fontStyle + self.fusedAtoms = atom.fusedAtoms + } + + override init() { } + + /// Factory function to create an atom with a given type and value. + /// - parameter type: The type of the atom to instantiate. + /// - parameter value: The value of the atoms nucleus. The value is ignored for fractions and radicals. + init(type:MTMathAtomType, value:String) { + self.type = type + self.nucleus = type == .radical ? "" : value + } + + /// Returns a copy of `self`. + public func copy() -> MTMathAtom { + switch self.type { + case .largeOperator: + return MTLargeOperator(self as? MTLargeOperator) + case .fraction: + return MTFraction(self as? MTFraction) + case .radical: + return MTRadical(self as? MTRadical) + case .style: + return MTMathStyle(self as? MTMathStyle) + case .inner: + return MTInner(self as? MTInner) + case .underline: + return MTUnderLine(self as? MTUnderLine) + case .overline: + return MTOverLine(self as? MTOverLine) + case .accent: + return MTAccent(self as? MTAccent) + case .space: + return MTMathSpace(self as? MTMathSpace) + case .color: + return MTMathColor(self as? MTMathColor) + case .textcolor: + return MTMathTextColor(self as? MTMathTextColor) + case .colorBox: + return MTMathColorbox(self as? MTMathColorbox) + case .table: + return MTMathTable(self as! MTMathTable) + default: + return MTMathAtom(self) + } + } + + public override var description: String { + var string = "" + string += self.nucleus + if self.superScript != nil { + string += "^{\(self.superScript!.description)}" + } + if self.subScript != nil { + string += "_{\(self.subScript!.description)}" + } + return string + } + + /// Returns a finalized copy of the atom + public var finalized: MTMathAtom { + let finalized : MTMathAtom = self.copy() + finalized.superScript = finalized.superScript?.finalized + finalized.subScript = finalized.subScript?.finalized + return finalized + } + + public var string:String { + var str = self.nucleus + if let superScript = self.superScript { + str.append("^{\(superScript.string)}") + } + if let subScript = self.subScript { + str.append("_{\(subScript.string)}") + } + return str + } + + // Fuse the given atom with this one by combining their nucleii. + func fuse(with atom: MTMathAtom) { + assert(self.subScript == nil, "Cannot fuse into an atom which has a subscript: \(self)"); + assert(self.superScript == nil, "Cannot fuse into an atom which has a superscript: \(self)"); + assert(atom.type == self.type, "Only atoms of the same type can be fused. \(self), \(atom)"); + guard self.subScript == nil, self.superScript == nil, self.type == atom.type + else { return } + + // Update the fused atoms list + if self.fusedAtoms.isEmpty { + self.fusedAtoms.append(MTMathAtom(self)) + } + if atom.fusedAtoms.count > 0 { + self.fusedAtoms.append(contentsOf: atom.fusedAtoms) + } else { + self.fusedAtoms.append(atom) + } + + // Update nucleus: + self.nucleus += atom.nucleus + + // Update range: + self.indexRange.length += atom.indexRange.length + + // Update super/subscript: + self.superScript = atom.superScript + self.subScript = atom.subScript + } + + /** Returns true if this atom allows scripts (sub or super). */ + func isScriptAllowed() -> Bool { self.type.isScriptAllowed() } + + func isNotBinaryOperator() -> Bool { self.type.isNotBinaryOperator() } + +} + +func isNotBinaryOperator(_ prevNode:MTMathAtom?) -> Bool { + guard let prevNode = prevNode else { return true } + return prevNode.type.isNotBinaryOperator() +} + +// MARK: - MTFraction + +public class MTFraction: MTMathAtom { + public var hasRule: Bool = true + public var leftDelimiter = "" + public var rightDelimiter = "" + public var numerator: MTMathList? + public var denominator: MTMathList? + + // Continued fraction properties + public var isContinuedFraction: Bool = false + public var alignment: String = "c" // "l", "r", "c" for left, right, center + + init(_ frac: MTFraction?) { + super.init(frac) + self.type = .fraction + if let frac = frac { + self.numerator = MTMathList(frac.numerator) + self.denominator = MTMathList(frac.denominator) + self.hasRule = frac.hasRule + self.leftDelimiter = frac.leftDelimiter + self.rightDelimiter = frac.rightDelimiter + self.isContinuedFraction = frac.isContinuedFraction + self.alignment = frac.alignment + } + } + + init(hasRule rule:Bool = true) { + super.init() + self.type = .fraction + self.hasRule = rule + } + + override public var description: String { + var string = self.hasRule ? "\\frac" : "\\atop" + if !self.leftDelimiter.isEmpty { + string += "[\(self.leftDelimiter)]" + } + if !self.rightDelimiter.isEmpty { + string += "[\(self.rightDelimiter)]" + } + string += "{\(self.numerator?.description ?? "placeholder")}{\(self.denominator?.description ?? "placeholder")}" + if self.superScript != nil { + string += "^{\(self.superScript!.description)}" + } + if self.subScript != nil { + string += "_{\(self.subScript!.description)}" + } + return string + } + + override public var finalized: MTMathAtom { + let newFrac = super.finalized as! MTFraction + newFrac.numerator = newFrac.numerator?.finalized + newFrac.denominator = newFrac.denominator?.finalized + return newFrac + } + +} + +// MARK: - MTRadical +/** An atom of type radical (square root). */ +public class MTRadical: MTMathAtom { + /// Denotes the term under the square root sign + public var radicand: MTMathList? + + /// Denotes the degree of the radical, i.e. the value to the top left of the radical sign + /// This can be null if there is no degree. + public var degree: MTMathList? + + init(_ rad:MTRadical?) { + super.init(rad) + self.type = .radical + self.radicand = MTMathList(rad?.radicand) + self.degree = MTMathList(rad?.degree) + self.nucleus = "" + } + + override init() { + super.init() + self.type = .radical + self.nucleus = "" + } + + override public var description: String { + var string = "\\sqrt" + if self.degree != nil { + string += "[\(self.degree!.description)]" + } + if self.radicand != nil { + string += "{\(self.radicand?.description ?? "placeholder")}" + } + if self.superScript != nil { + string += "^{\(self.superScript!.description)}" + } + if self.subScript != nil { + string += "_{\(self.subScript!.description)}" + } + return string + } + + override public var finalized: MTMathAtom { + let newRad = super.finalized as! MTRadical + newRad.radicand = newRad.radicand?.finalized + newRad.degree = newRad.degree?.finalized + return newRad + } +} + +// MARK: - MTLargeOperator +/** A `MTMathAtom` of type `kMTMathAtom.largeOperator`. */ +public class MTLargeOperator: MTMathAtom { + + /** Indicates whether the limits (if present) should be displayed + above and below the operator in display mode. If limits is false + then the limits (if present) are displayed like a regular subscript/superscript. + */ + public var limits: Bool = false + + init(_ op:MTLargeOperator?) { + super.init(op) + self.type = .largeOperator + self.limits = op!.limits + } + + init(value: String, limits: Bool) { + super.init(type: .largeOperator, value: value) + self.limits = limits + } +} + +// MARK: - MTInner +/** An inner atom. This denotes an atom which contains a math list inside it. An inner atom + has optional boundaries. Note: Only one boundary may be present, it is not required to have + both. */ +public class MTInner: MTMathAtom { + /// The inner math list + public var innerList: MTMathList? + /// The left boundary atom. This must be a node of type kMTMathAtomBoundary + public var leftBoundary: MTMathAtom? { + didSet { + if let left = leftBoundary, left.type != .boundary { + leftBoundary = nil + NSException(name: NSExceptionName(rawValue: "Error"), reason: "Left boundary must be of type .boundary").raise() + } + } + } + /// The right boundary atom. This must be a node of type kMTMathAtomBoundary + public var rightBoundary: MTMathAtom? { + didSet { + if let right = rightBoundary, right.type != .boundary { + rightBoundary = nil + NSException(name: NSExceptionName(rawValue: "Error"), reason: "Right boundary must be of type .boundary").raise() + } + } + } + + /// Optional explicit delimiter height (in points). When set, this overrides the automatic + /// delimiter sizing based on inner content. Used by \big, \Big, \bigg, \Bigg commands. + public var delimiterHeight: CGFloat? + + init(_ inner:MTInner?) { + super.init(inner) + self.type = .inner + self.innerList = MTMathList(inner?.innerList) + self.leftBoundary = MTMathAtom(inner?.leftBoundary) + self.rightBoundary = MTMathAtom(inner?.rightBoundary) + self.delimiterHeight = inner?.delimiterHeight + } + + override init() { + super.init() + self.type = .inner + } + + override public var description: String { + var string = "\\inner" + if self.leftBoundary != nil { + string += "[\(self.leftBoundary!.nucleus)]" + } + string += "{\(self.innerList!.description)}" + if self.rightBoundary != nil { + string += "[\(self.rightBoundary!.nucleus)]" + } + if self.superScript != nil { + string += "^{\(self.superScript!.description)}" + } + if self.subScript != nil { + string += "_{\(self.subScript!.description)}" + } + return string + } + + override public var finalized: MTMathAtom { + let newInner = super.finalized as! MTInner + newInner.innerList = newInner.innerList?.finalized + return newInner + } +} + +// MARK: - MTOverLIne +/** An atom with a line over the contained math list. */ +public class MTOverLine: MTMathAtom { + public var innerList: MTMathList? + + override public var finalized: MTMathAtom { + let newOverline = MTOverLine(self) + newOverline.innerList = newOverline.innerList?.finalized + return newOverline + } + + init(_ over: MTOverLine?) { + super.init(over) + self.type = .overline + self.innerList = MTMathList(over!.innerList) + } + + override init() { + super.init() + self.type = .overline + } +} + +// MARK: - MTUnderLine +/** An atom with a line under the contained math list. */ +public class MTUnderLine: MTMathAtom { + public var innerList: MTMathList? + + override public var finalized: MTMathAtom { + let newUnderline = super.finalized as! MTUnderLine + newUnderline.innerList = newUnderline.innerList?.finalized + return newUnderline + } + + init(_ under: MTUnderLine?) { + super.init(under) + self.type = .underline + self.innerList = MTMathList(under?.innerList) + } + + override init() { + super.init() + self.type = .underline + } +} + +// MARK: - MTAccent + +public class MTAccent: MTMathAtom { + public var innerList: MTMathList? + /// Indicates if this accent should use stretchy arrow behavior (for \overrightarrow, etc.) + /// vs short accent behavior (for \vec). Only applies to arrow accents. + public var isStretchy: Bool = false + /// Indicates if this accent should use wide stretching behavior (for \widehat, \widetilde) + /// vs regular fixed-size accent behavior (for \hat, \tilde). + public var isWide: Bool = false + + override public var finalized: MTMathAtom { + let newAccent = super.finalized as! MTAccent + newAccent.innerList = newAccent.innerList?.finalized + newAccent.isStretchy = self.isStretchy + newAccent.isWide = self.isWide + return newAccent + } + + init(_ accent: MTAccent?) { + super.init(accent) + self.type = .accent + self.innerList = MTMathList(accent?.innerList) + self.isStretchy = accent?.isStretchy ?? false + self.isWide = accent?.isWide ?? false + } + + init(value: String) { + super.init() + self.type = .accent + self.nucleus = value + } +} + +// MARK: - MTMathSpace +/** An atom representing space. + Note: None of the usual fields of the `MTMathAtom` apply even though this + class inherits from `MTMathAtom`. i.e. it is meaningless to have a value + in the nucleus, subscript or superscript fields. */ +public class MTMathSpace: MTMathAtom { + /** The amount of space represented by this object in mu units. */ + public var space: CGFloat = 0 + + /// Creates a new `MTMathSpace` with the given spacing. + /// - parameter space: The amount of space in mu units. + init(_ space: MTMathSpace?) { + super.init(space) + self.type = .space + self.space = space?.space ?? 0 + } + + init(space:CGFloat) { + super.init() + self.type = .space + self.space = space + } +} + +/** + Styling of a line of math + */ +public enum MTLineStyle:Int, Comparable { + /// Display style + case display + /// Text style (inline) + case text + /// Script style (for sub/super scripts) + case script + /// Script script style (for scripts of scripts) + case scriptOfScript + + public func inc() -> MTLineStyle { + let raw = self.rawValue + 1 + if let style = MTLineStyle(rawValue: raw) { return style } + return .display + } + + public var isNotScript:Bool { self < .script } + public static func < (lhs: MTLineStyle, rhs: MTLineStyle) -> Bool { lhs.rawValue < rhs.rawValue } +} + +// MARK: - MTMathStyle +/** An atom representing a style change. + Note: None of the usual fields of the `MTMathAtom` apply even though this + class inherits from `MTMathAtom`. i.e. it is meaningless to have a value + in the nucleus, subscript or superscript fields. */ +public class MTMathStyle: MTMathAtom { + public var style: MTLineStyle = .display + + init(_ style:MTMathStyle?) { + super.init(style) + self.type = .style + self.style = style!.style + } + + init(style:MTLineStyle) { + super.init() + self.type = .style + self.style = style + } +} + +// MARK: - MTMathColor +/** An atom representing an color element. + Note: None of the usual fields of the `MTMathAtom` apply even though this + class inherits from `MTMathAtom`. i.e. it is meaningless to have a value + in the nucleus, subscript or superscript fields. */ +public class MTMathColor: MTMathAtom { + public var colorString:String="" + public var innerList:MTMathList? + + init(_ color: MTMathColor?) { + super.init(color) + self.type = .color + self.colorString = color?.colorString ?? "" + self.innerList = MTMathList(color?.innerList) + } + + override init() { + super.init() + self.type = .color + } + + public override var string: String { + "\\color{\(self.colorString)}{\(self.innerList!.string)}" + } + + override public var finalized: MTMathAtom { + let newColor = super.finalized as! MTMathColor + newColor.innerList = newColor.innerList?.finalized + return newColor + } +} + +// MARK: - MTMathTextColor +/** An atom representing an textcolor element. + Note: None of the usual fields of the `MTMathAtom` apply even though this + class inherits from `MTMathAtom`. i.e. it is meaningless to have a value + in the nucleus, subscript or superscript fields. */ +public class MTMathTextColor: MTMathAtom { + public var colorString:String="" + public var innerList:MTMathList? + + init(_ color: MTMathTextColor?) { + super.init(color) + self.type = .textcolor + self.colorString = color?.colorString ?? "" + self.innerList = MTMathList(color?.innerList) + } + + override init() { + super.init() + self.type = .textcolor + } + + public override var string: String { + "\\textcolor{\(self.colorString)}{\(self.innerList!.string)}" + } + + override public var finalized: MTMathAtom { + let newColor = super.finalized as! MTMathTextColor + newColor.innerList = newColor.innerList?.finalized + return newColor + } +} + +// MARK: - MTMathColorbox +/** An atom representing an colorbox element. + Note: None of the usual fields of the `MTMathAtom` apply even though this + class inherits from `MTMathAtom`. i.e. it is meaningless to have a value + in the nucleus, subscript or superscript fields. */ +public class MTMathColorbox: MTMathAtom { + public var colorString="" + public var innerList:MTMathList? + + init(_ cbox: MTMathColorbox?) { + super.init(cbox) + self.type = .colorBox + self.colorString = cbox?.colorString ?? "" + self.innerList = MTMathList(cbox?.innerList) + } + + override init() { + super.init() + self.type = .colorBox + } + + public override var string: String { + "\\colorbox{\(self.colorString)}{\(self.innerList!.string)}" + } + + override public var finalized: MTMathAtom { + let newColor = super.finalized as! MTMathColorbox + newColor.innerList = newColor.innerList?.finalized + return newColor + } +} + +/** + Alignment for a column of MTMathTable + */ +public enum MTColumnAlignment { + case left + case center + case right +} + +// MARK: - MTMathTable +/** An atom representing an table element. This atom is not like other + atoms and is not present in TeX. We use it to represent the `\halign` command + in TeX with some simplifications. This is used for matrices, equation + alignments and other uses of multiline environments. + + The cells in the table are represented as a two dimensional array of + `MTMathList` objects. The `MTMathList`s could be empty to denote a missing + value in the cell. Additionally an array of alignments indicates how each + column will be aligned. + */ +public class MTMathTable: MTMathAtom { + /// The alignment for each column (left, right, center). The default alignment + /// for a column (if not set) is center. + public var alignments = [MTColumnAlignment]() + /// The cells in the table as a two dimensional array. + public var cells = [[MTMathList]]() + /// The name of the environment that this table denotes. + public var environment = "" + /// Spacing between each column in mu units. + public var interColumnSpacing: CGFloat = 0 + /// Additional spacing between rows in jots (one jot is 0.3 times font size). + /// If the additional spacing is 0, then normal row spacing is used are used. + public var interRowAdditionalSpacing: CGFloat = 0 + + override public var finalized: MTMathAtom { + let table = super.finalized as! MTMathTable + for var row in table.cells { + for i in 0.. MTColumnAlignment { + if self.alignments.count <= col { + return MTColumnAlignment.center + } else { + return self.alignments[col] + } + } + + public var numColumns: Int { + var numberOfCols = 0 + for row in self.cells { + numberOfCols = max(numberOfCols, row.count) + } + return numberOfCols + } + + public var numRows: Int { self.cells.count } +} + +// MARK: - MTMathList + +extension MTMathList { + public override var description: String { self.atoms.description } + /// converts the MTMathList to a string form. Note: This is not the LaTeX form. + public var string: String { self.description } +} + +/** A representation of a list of math objects. + + This list can be constructed directly or built with + the help of the MTMathListBuilder. It is not required that the mathematics represented make sense + (i.e. this can represent something like "x 2 = +". This list can be used for display using MTLine + or can be a list of tokens to be used by a parser after finalizedMathList is called. + + Note: This class is for **advanced** usage only. + */ +public class MTMathList : NSObject { + + init?(_ list:MTMathList?) { + guard let list = list else { return nil } + for atom in list.atoms { + self.atoms.append(atom.copy()) + } + } + + /// A list of MathAtoms + public var atoms = [MTMathAtom]() + + /// Create a new math list as a final expression and update atoms + /// by combining like atoms that occur together and converting unary operators to binary operators. + /// This function does not modify the current MTMathList + public var finalized: MTMathList { + let finalizedList = MTMathList() + let zeroRange = NSMakeRange(0, 0) + + var prevNode: MTMathAtom? = nil + for atom in self.atoms { + let newNode = atom.finalized + + if NSEqualRanges(zeroRange, atom.indexRange) { + // CRITICAL FIX: Check if prevNode has a valid range location before using it + // If location is NSNotFound, treat as if there's no prevNode + // This prevents negative overflow when creating NSMakeRange + let index: Int + if prevNode == nil || prevNode!.indexRange.location == NSNotFound { + index = 0 + } else { + // Additional safety: check for potential overflow + let location = prevNode!.indexRange.location + let length = prevNode!.indexRange.length + // If either value is suspicious (negative or too large), reset to 0 + if location < 0 || length < 0 || location > Int.max - length { + index = 0 + } else { + index = location + length + } + } + newNode.indexRange = NSMakeRange(index, 1) + } + + switch newNode.type { + case .binaryOperator: + if isNotBinaryOperator(prevNode) { + newNode.type = .unaryOperator + } + case .relation, .punctuation, .close: + if prevNode != nil && prevNode!.type == .binaryOperator { + prevNode!.type = .unaryOperator + } + case .number: + if prevNode != nil && prevNode!.type == .number && prevNode!.subScript == nil && prevNode!.superScript == nil { + prevNode!.fuse(with: newNode) + continue // skip the current node, we are done here. + } + default: break + } + finalizedList.add(newNode) + prevNode = newNode + } + if prevNode != nil && prevNode!.type == .binaryOperator { + prevNode!.type = .unaryOperator + } + return finalizedList + } + + public init(atoms: [MTMathAtom]) { + self.atoms.append(contentsOf: atoms) + } + + public init(atom: MTMathAtom) { + self.atoms.append(atom) + } + + public override init() { super.init() } + + func NSParamException(_ param:Any?) { + if param == nil { + NSException(name: NSExceptionName(rawValue: "Error"), reason: "Parameter cannot be nil").raise() + } + } + + func NSIndexException(_ array:[Any], index: Int) { + guard !array.indices.contains(index) else { return } + NSException(name: NSExceptionName(rawValue: "Error"), reason: "Index \(index) out of bounds").raise() + } + + /// Add an atom to the end of the list. + /// - parameter atom: The atom to be inserted. This cannot be `nil` and cannot have the type `kMTMathAtomBoundary`. + /// - throws NSException if the atom is of type `kMTMathAtomBoundary` + public func add(_ atom: MTMathAtom?) { + guard let atom = atom else { return } + if self.isAtomAllowed(atom) { + self.atoms.append(atom) + } else { + NSException(name: NSExceptionName(rawValue: "Error"), reason: "Cannot add atom of type \(atom.type.rawValue) into mathlist").raise() + } + } + + /// Inserts an atom at the given index. If index is already occupied, the objects at index and beyond are + /// shifted by adding 1 to their indices to make room. An insert to an `index` greater than the number of atoms + /// is ignored. Insertions of nil atoms is ignored. + /// - parameter atom: The atom to be inserted. This cannot be `nil` and cannot have the type `kMTMathAtom.boundary`. + /// - parameter index: The index where the atom is to be inserted. The index should be less than or equal to the + /// number of elements in the math list. + /// - throws NSException if the atom is of type kMTMathAtomBoundary + public func insert(_ atom: MTMathAtom?, at index: Int) { + // NSParamException(atom) + guard let atom = atom else { return } + guard self.atoms.indices.contains(index) || index == self.atoms.endIndex else { return } + // guard self.atoms.endIndex >= index else { NSIndexException(); return } + if self.isAtomAllowed(atom) { + // NSIndexException(self.atoms, index: index) + self.atoms.insert(atom, at: index) + } else { + NSException(name: NSExceptionName(rawValue: "Error"), reason: "Cannot add atom of type \(atom.type.rawValue) into mathlist").raise() + } + } + + /// Append the given list to the end of the current list. + /// - parameter list: The list to append. + public func append(_ list: MTMathList?) { + guard let list = list else { return } + self.atoms += list.atoms + } + + /** Removes the last atom from the math list. If there are no atoms in the list this does nothing. */ + public func removeLastAtom() { + if !self.atoms.isEmpty { + self.atoms.removeLast() + } + } + + /// Removes the atom at the given index. + /// - parameter index: The index at which to remove the atom. Must be less than the number of atoms + /// in the list. + public func removeAtom(at index: Int) { + NSIndexException(self.atoms, index:index) + self.atoms.remove(at: index) + } + + /** Removes all the atoms within the given range. */ + public func removeAtoms(in range: ClosedRange) { + NSIndexException(self.atoms, index: range.lowerBound) + NSIndexException(self.atoms, index: range.upperBound) + self.atoms.removeSubrange(range) + } + + func isAtomAllowed(_ atom: MTMathAtom?) -> Bool { atom?.type != .boundary } +} diff --git a/third-party/SwiftMath/Sources/MathRender/MTMathListBuilder.swift b/third-party/SwiftMath/Sources/MathRender/MTMathListBuilder.swift new file mode 100644 index 0000000000..4083fd90d9 --- /dev/null +++ b/third-party/SwiftMath/Sources/MathRender/MTMathListBuilder.swift @@ -0,0 +1,1613 @@ +// +// Created by Mike Griebling on 2022-12-31. +// Translated from an Objective-C implementation by Kostub Deshmukh. +// +// This software may be modified and distributed under the terms of the +// MIT license. See the LICENSE file for details. +// + +import Foundation + +/** `MTMathListBuilder` is a class for parsing LaTeX into an `MTMathList` that + can be rendered and processed mathematically. + */ +struct MTEnvProperties { + var envName: String? + var ended: Bool + var numRows: Int + var alignment: MTColumnAlignment? // Optional alignment for starred matrix environments + + init(name: String?, alignment: MTColumnAlignment? = nil) { + self.envName = name + self.numRows = 0 + self.ended = false + self.alignment = alignment + } +} + +/** + The error encountered when parsing a LaTeX string. + + The `code` in the `NSError` is one of the following indicating why the LaTeX string + could not be parsed. + */ +enum MTParseErrors:Int { + /// The braces { } do not match. + case mismatchBraces = 1 + /// A command in the string is not recognized. + case invalidCommand + /// An expected character such as ] was not found. + case characterNotFound + /// The \left or \right command was not followed by a delimiter. + case missingDelimiter + /// The delimiter following \left or \right was not a valid delimiter. + case invalidDelimiter + /// There is no \right corresponding to the \left command. + case missingRight + /// There is no \left corresponding to the \right command. + case missingLeft + /// The environment given to the \begin command is not recognized + case invalidEnv + /// A command is used which is only valid inside a \begin,\end environment + case missingEnv + /// There is no \begin corresponding to the \end command. + case missingBegin + /// There is no \end corresponding to the \begin command. + case missingEnd + /// The number of columns do not match the environment + case invalidNumColumns + /// Internal error, due to a programming mistake. + case internalError + /// Limit control applied incorrectly + case invalidLimits +} + +let MTParseError = "ParseError" + +/** `MTMathListBuilder` is a class for parsing LaTeX into an `MTMathList` that + can be rendered and processed mathematically. + */ +public struct MTMathListBuilder { + /// The math mode determines rendering style (inline vs display) + enum MathMode { + /// Display style - larger operators, limits above/below (e.g., $$...$$, \[...\]) + case display + /// Inline/text style - compact operators, limits to the side (e.g., $...$, \(...\)) + case inline + + /// Convert MathMode to MTLineStyle for rendering + func toLineStyle() -> MTLineStyle { + switch self { + case .display: + return .display + case .inline: + return .text + } + } + } + + var string: String + var currentCharIndex: String.Index + var currentInnerAtom: MTInner? + var currentEnv: MTEnvProperties? + var currentFontStyle:MTFontStyle + var spacesAllowed:Bool + var mathMode: MathMode = .display + + /** Contains any error that occurred during parsing. */ + var error:NSError? + + // MARK: - Character-handling routines + + var hasCharacters: Bool { currentCharIndex < string.endIndex } + + // gets the next character and increments the index + mutating func getNextCharacter() -> Character { + assert(self.hasCharacters, "Retrieving character at index \(self.currentCharIndex) beyond length \(self.string.count)") + let ch = string[currentCharIndex] + currentCharIndex = string.index(after: currentCharIndex) + return ch + } + + mutating func unlookCharacter() { + assert(currentCharIndex > string.startIndex, "Unlooking when at the first character.") + if currentCharIndex > string.startIndex { + currentCharIndex = string.index(before: currentCharIndex) + } + } + + // Peek at next command without consuming it (for \not lookahead) + mutating func peekNextCommand() -> String { + let savedIndex = currentCharIndex + skipSpaces() + + guard hasCharacters else { + currentCharIndex = savedIndex + return "" + } + + let char = getNextCharacter() + let command: String + + if char == "\\" { + command = readCommand() + } else { + command = "" + } + + // Restore position + currentCharIndex = savedIndex + return command + } + + // Consume the next command (after peeking) + mutating func consumeNextCommand() { + skipSpaces() + + guard hasCharacters else { return } + + let char = getNextCharacter() + if char == "\\" { + _ = readCommand() + } + } + + + + mutating func expectCharacter(_ ch: Character) -> Bool { + MTAssertNotSpace(ch) + self.skipSpaces() + + if self.hasCharacters { + let nextChar = self.getNextCharacter() + MTAssertNotSpace(nextChar) + if nextChar == ch { + return true + } else { + self.unlookCharacter() + return false + } + } + return false + } + + public static let spaceToCommands: [CGFloat: String] = [ + 3 : ",", + 4 : ">", + 5 : ";", + (-3) : "!", + 18 : "quad", + 36 : "qquad", + ] + + public static let styleToCommands: [MTLineStyle: String] = [ + .display: "displaystyle", + .text: "textstyle", + .script: "scriptstyle", + .scriptOfScript: "scriptscriptstyle" + ] + + // Comprehensive mapping of \not command combinations to Unicode negated symbols + public static let notCombinations: [String: String] = [ + // Primary targets (user requested) + "equiv": "\u{2262}", // ≢ Not equivalent + "subset": "\u{2284}", // ⊄ Not subset + "in": "\u{2209}", // ∉ Not element of + + // Additional standard negations + "sim": "\u{2241}", // ≁ Not similar + "approx": "\u{2249}", // ≉ Not approximately equal + "cong": "\u{2247}", // ≇ Not congruent + "parallel": "\u{2226}", // ∦ Not parallel + "subseteq": "\u{2288}", // ⊈ Not subset or equal + "supset": "\u{2285}", // ⊅ Not superset + "supseteq": "\u{2289}", // ⊉ Not superset or equal + "=": "\u{2260}", // ≠ Not equal (alternative to \neq) + ] + + /// Delimiter sizing commands with their size multipliers (relative to font size). + /// Values based on standard TeX: at 10pt, \big=8.5pt, \Big=11.5pt, \bigg=14.5pt, \Bigg=17.5pt + /// These translate to approximately 0.85x, 1.15x, 1.45x, 1.75x of font size. + /// We use slightly larger values to ensure visible size differences. + public static let delimiterSizeCommands: [String: CGFloat] = [ + // Basic sizing commands + "big": 1.0, + "Big": 1.4, + "bigg": 1.8, + "Bigg": 2.2, + // Left variants (same sizes, just semantic distinction in LaTeX) + "bigl": 1.0, + "Bigl": 1.4, + "biggl": 1.8, + "Biggl": 2.2, + // Right variants + "bigr": 1.0, + "Bigr": 1.4, + "biggr": 1.8, + "Biggr": 2.2, + // Middle variants (used between delimiters) + "bigm": 1.0, + "Bigm": 1.4, + "biggm": 1.8, + "Biggm": 2.2, + ] + + init(string: String) { + self.error = nil + self.string = string + self.currentCharIndex = string.startIndex + self.currentFontStyle = .defaultStyle + self.spacesAllowed = false + } + + // MARK: - Delimiter Detection + + /// Detects and strips LaTeX math delimiters from the input string. + /// Returns the cleaned content and the detected math mode. + /// Supports: $...$ \(...\) $$...$$ \[...\] and environments + func detectAndStripDelimiters(from str: String) -> (String, MathMode) { + let trimmed = str.trimmingCharacters(in: .whitespacesAndNewlines) + + // Check display delimiters first (more specific patterns) + + // \[...\] - LaTeX display math + if trimmed.hasPrefix("\\[") && trimmed.hasSuffix("\\]") && trimmed.count > 4 { + let content = String(trimmed.dropFirst(2).dropLast(2)) + return (content, .display) + } + + // $$...$$ - TeX display math (check before single $) + if trimmed.hasPrefix("$$") && trimmed.hasSuffix("$$") && trimmed.count > 4 { + let content = String(trimmed.dropFirst(2).dropLast(2)) + return (content, .display) + } + + // Check inline delimiters + + // \(...\) - LaTeX inline math + if trimmed.hasPrefix("\\(") && trimmed.hasSuffix("\\)") && trimmed.count > 4 { + let content = String(trimmed.dropFirst(2).dropLast(2)) + return (content, .inline) + } + + // $...$ - TeX inline math (must check after $$) + if trimmed.hasPrefix("$") && trimmed.hasSuffix("$") && trimmed.count > 2 && !trimmed.hasPrefix("$$") { + let content = String(trimmed.dropFirst(1).dropLast(1)) + return (content, .inline) + } + + // Check if it's an environment (\begin{...}\end{...}) + // These are handled by existing logic and are display mode by default + if trimmed.hasPrefix("\\begin{") { + return (str, .display) + } + + // No delimiters found - default to display mode (current behavior for backward compatibility) + return (str, .display) + } + + // MARK: - MTMathList builder functions + + /// Builds a mathlist from the internal `string`. Returns nil if there is an error. + public mutating func build() -> MTMathList? { + // Detect and strip delimiters, updating the string and mode + let (cleanedString, mode) = detectAndStripDelimiters(from: self.string) + self.string = cleanedString + self.currentCharIndex = cleanedString.startIndex + self.mathMode = mode + + // If inline mode, we could optionally prepend a \textstyle command + // to force inline rendering of operators. For now, just track the mode. + + let list = self.buildInternal(false) + if self.hasCharacters && error == nil { + self.setError(.mismatchBraces, message: "Mismatched braces: \(self.string)") + return nil + } + if error != nil { + return nil + } + + // Note: For inline mode, we insert \textstyle to match LaTeX behavior. + // However, fractionStyle() has been modified to keep fractions at the + // same font size in both display and text modes (not one level smaller). + // Large operators show limits above/below in text style due to the updated + // condition in makeLargeOp() that checks both .display and .text styles. + if mode == .inline && list != nil && !list!.atoms.isEmpty { + // Prepend \textstyle to force inline rendering + let styleAtom = MTMathStyle(style: .text) + list!.atoms.insert(styleAtom, at: 0) + } + + return list + } + + /** Construct a math list from a given string. If there is parse error, returns + nil. To retrieve the error use the function `MTMathListBuilder.build(fromString:error:)`. + */ + public static func build(fromString string: String) -> MTMathList? { + var builder = MTMathListBuilder(string: string) + return builder.build() + } + + /** Construct a math list from a given string. If there is an error while + constructing the string, this returns nil. The error is returned in the + `error` parameter. + */ + public static func build(fromString string: String, error:inout NSError?) -> MTMathList? { + var builder = MTMathListBuilder(string: string) + let output = builder.build() + if builder.error != nil { + error = builder.error + return nil + } + return output + } + + /** Construct a math list from a given string and return the detected style. + This method detects LaTeX delimiters like \[...\], $$...$$, $...$, \(...\) + and returns the appropriate rendering style (.display or .text). + + If there is a parse error, returns nil for the MathList. + + - Parameter string: The LaTeX string to parse + - Returns: A tuple containing the parsed MathList and the detected MTLineStyle + */ + public static func buildWithStyle(fromString string: String) -> (mathList: MTMathList?, style: MTLineStyle) { + var builder = MTMathListBuilder(string: string) + let mathList = builder.build() + let style = builder.mathMode.toLineStyle() + return (mathList, style) + } + + /** Construct a math list from a given string and return the detected style. + This method detects LaTeX delimiters like \[...\], $$...$$, $...$, \(...\) + and returns the appropriate rendering style (.display or .text). + + If there is an error while constructing the string, this returns nil for the MathList. + The error is returned in the `error` parameter. + + - Parameters: + - string: The LaTeX string to parse + - error: An inout parameter that will contain any parse error + - Returns: A tuple containing the parsed MathList and the detected MTLineStyle + */ + public static func buildWithStyle(fromString string: String, error: inout NSError?) -> (mathList: MTMathList?, style: MTLineStyle) { + var builder = MTMathListBuilder(string: string) + let output = builder.build() + let style = builder.mathMode.toLineStyle() + if builder.error != nil { + error = builder.error + return (nil, style) + } + return (output, style) + } + + public mutating func buildInternal(_ oneCharOnly: Bool) -> MTMathList? { + self.buildInternal(oneCharOnly, stopChar: nil) + } + + public mutating func buildInternal(_ oneCharOnly: Bool, stopChar stop: Character?) -> MTMathList? { + let list = MTMathList() + assert(!(oneCharOnly && stop != nil), "Cannot set both oneCharOnly and stopChar.") + var prevAtom: MTMathAtom? = nil + while self.hasCharacters { + if error != nil { return nil } // If there is an error thus far then bail out. + + var atom: MTMathAtom? = nil + let char = self.getNextCharacter() + + if oneCharOnly { + if char == "^" || char == "}" || char == "_" || char == "&" { + // this is not the character we are looking for. + // They are meant for the caller to look at. + self.unlookCharacter() + return list + } + } + // If there is a stop character, keep scanning 'til we find it + if stop != nil && char == stop! { + return list + } + + if char == "^" { + assert(!oneCharOnly, "This should have been handled before") + if (prevAtom == nil || prevAtom!.superScript != nil || !prevAtom!.isScriptAllowed()) { + // If there is no previous atom, or if it already has a superscript + // or if scripts are not allowed for it, then add an empty node. + prevAtom = MTMathAtom(type: .ordinary, value: "") + list.add(prevAtom!) + } + // this is a superscript for the previous atom + // note: if the next char is the stopChar it will be consumed by the ^ and so it doesn't count as stop + prevAtom!.superScript = self.buildInternal(true) + continue + } else if char == "_" { + assert(!oneCharOnly, "This should have been handled before") + if (prevAtom == nil || prevAtom!.subScript != nil || !prevAtom!.isScriptAllowed()) { + // If there is no previous atom, or if it already has a subcript + // or if scripts are not allowed for it, then add an empty node. + prevAtom = MTMathAtom(type: .ordinary, value: "") + list.add(prevAtom!) + } + // this is a subscript for the previous atom + // note: if the next char is the stopChar it will be consumed by the _ and so it doesn't count as stop + prevAtom!.subScript = self.buildInternal(true) + continue + } else if char == "{" { + // this puts us in a recursive routine, and sets oneCharOnly to false and no stop character + if let subList = self.buildInternal(false, stopChar: "}") { + prevAtom = subList.atoms.last + list.append(subList) + if oneCharOnly { + return list + } + } + continue + } else if char == "}" { + // \ means a command + assert(!oneCharOnly, "This should have been handled before") + assert(stop == nil, "This should have been handled before") + // Special case: } terminates implicit table (envName == nil) created by \\ + // This happens when \\ is used inside braces: \substack{a \\ b} + if self.currentEnv != nil && self.currentEnv!.envName == nil { + // Mark environment as ended, don't consume the } + self.currentEnv!.ended = true + return list + } + // We encountered a closing brace when there is no stop set, that means there was no + // corresponding opening brace. + self.setError(.mismatchBraces, message:"Mismatched braces.") + return nil + } else if char == "\\" { + let command = readCommand() + let done = stopCommand(command, list:list, stopChar:stop) + if done != nil { + return done + } else if error != nil { + return nil + } + if self.applyModifier(command, atom:prevAtom) { + continue + } + + if let fontStyle = MTMathAtomFactory.fontStyleWithName(command) { + let oldSpacesAllowed = spacesAllowed + // Text has special consideration where it allows spaces without escaping. + spacesAllowed = command == "text" + let oldFontStyle = currentFontStyle + currentFontStyle = fontStyle + if let sublist = self.buildInternal(true) { + // Restore the font style. + currentFontStyle = oldFontStyle + spacesAllowed = oldSpacesAllowed + + prevAtom = sublist.atoms.last + list.append(sublist) + if oneCharOnly { + return list + } + } + continue + } + atom = self.atomForCommand(command) + if atom == nil { + // this was an unknown command, + // we flag an error and return + // (note setError will not set the error if there is already one, so we flag internal error + // in the odd case that an _error is not set. + self.setError(.internalError, message:"Internal error") + return nil + } + } else if char == "&" { + // used for column separation in tables + assert(!oneCharOnly, "This should have been handled before") + if self.currentEnv != nil { + return list + } else { + // Create a new table with the current list and a default env + if let table = self.buildTable(env: nil, firstList: list, isRow: false) { + return MTMathList(atom: table) + } else { + return nil + } + } + } else if spacesAllowed && char == " " { + // If spaces are allowed then spaces do not need escaping with a \ before being used. + atom = MTMathAtomFactory.atom(forLatexSymbol: " ") + } else { + atom = MTMathAtomFactory.atom(forCharacter: char) + if atom == nil { + // Not a recognized character in standard math mode + // In text mode (spacesAllowed && roman style), accept any Unicode character for fallback font support + // This enables Chinese, Japanese, Korean, emoji, etc. in \text{} commands + if spacesAllowed && currentFontStyle == .roman { + atom = MTMathAtom(type: .ordinary, value: String(char)) + } else { + // In math mode or non-text commands, skip unrecognized characters + continue + } + } + } + + assert(atom != nil, "Atom shouldn't be nil") + atom?.fontStyle = currentFontStyle + // If this is an accent atom (e.g., from an accented character like "é"), + // propagate the font style to the inner list atoms that don't already have + // an explicit font style. This handles Unicode accented characters which are + // converted to accents by atom(fromAccentedCharacter:) without font style context. + // We only set font style on atoms with .defaultStyle to avoid overriding + // explicit font style commands like \textbf inside accents. + if let accent = atom as? MTAccent, let innerList = accent.innerList { + for innerAtom in innerList.atoms { + if innerAtom.fontStyle == .defaultStyle { + innerAtom.fontStyle = currentFontStyle + } + } + } + list.add(atom) + prevAtom = atom + + if oneCharOnly { + return list + } + } + if stop != nil { + if stop == "}" { + // We did not find a corresponding closing brace. + self.setError(.mismatchBraces, message:"Missing closing brace") + } else { + // we never found our stop character + let errorMessage = "Expected character not found: \(stop!)" + self.setError(.characterNotFound, message:errorMessage) + } + } + return list + } + + + // MARK: - MTMathList to LaTeX conversion + + /// This converts the MTMathList to LaTeX. + public static func mathListToString(_ ml: MTMathList?) -> String { + var str = "" + var currentfontStyle = MTFontStyle.defaultStyle + if let atomList = ml { + for atom in atomList.atoms { + if currentfontStyle != atom.fontStyle { + if currentfontStyle != .defaultStyle { + str += "}" + } + if atom.fontStyle != .defaultStyle { + let fontStyleName = MTMathAtomFactory.fontNameForStyle(atom.fontStyle) + str += "\\\(fontStyleName){" + } + currentfontStyle = atom.fontStyle + } + if atom.type == .fraction { + if let frac = atom as? MTFraction { + if frac.isContinuedFraction { + // Generate \cfrac with optional alignment + if frac.alignment != "c" { + str += "\\cfrac[\(frac.alignment)]{\(mathListToString(frac.numerator!))}{\(mathListToString(frac.denominator!))}" + } else { + str += "\\cfrac{\(mathListToString(frac.numerator!))}{\(mathListToString(frac.denominator!))}" + } + } else if frac.hasRule { + str += "\\frac{\(mathListToString(frac.numerator!))}{\(mathListToString(frac.denominator!))}" + } else { + let command: String + if frac.leftDelimiter.isEmpty && frac.rightDelimiter.isEmpty { + command = "atop" + } else if frac.leftDelimiter == "(" && frac.rightDelimiter == ")" { + command = "choose" + } else if frac.leftDelimiter == "{" && frac.rightDelimiter == "}" { + command = "brace" + } else if frac.leftDelimiter == "[" && frac.rightDelimiter == "]" { + command = "brack" + } else { + command = "atopwithdelims\(frac.leftDelimiter)\(frac.rightDelimiter)" + } + str += "{\(mathListToString(frac.numerator!)) \\\(command) \(mathListToString(frac.denominator!))}" + } + } + } else if atom.type == .radical { + str += "\\sqrt" + if let rad = atom as? MTRadical { + if rad.degree != nil { + str += "[\(mathListToString(rad.degree!))]" + } + str += "{\(mathListToString(rad.radicand!))}" + } + } else if atom.type == .inner { + if let inner = atom as? MTInner { + if inner.leftBoundary != nil || inner.rightBoundary != nil { + if inner.leftBoundary != nil { + str += "\\left\(delimToString(delim: inner.leftBoundary!)) " + } else { + str += "\\left. " + } + + str += mathListToString(inner.innerList!) + + if inner.rightBoundary != nil { + str += "\\right\(delimToString(delim: inner.rightBoundary!)) " + } else { + str += "\\right. " + } + } else { + str += "{\(mathListToString(inner.innerList!))}" + } + } + } else if atom.type == .table { + if let table = atom as? MTMathTable { + if !table.environment.isEmpty { + str += "\\begin{\(table.environment)}" + } + + for i in 0..= 1 && cell.atoms[0].type == .style { + // remove first atom + cell.atoms.removeFirst() + } + } + if table.environment == "eqalign" || table.environment == "aligned" || table.environment == "split" { + if j == 1 && cell.atoms.count >= 1 && cell.atoms[0].type == .ordinary && cell.atoms[0].nucleus.count == 0 { + // remove empty nucleus added for spacing + cell.atoms.removeFirst() + } + } + str += mathListToString(cell) + if j < row.count - 1 { + str += "&" + } + } + if i < table.numRows - 1 { + str += "\\\\ " + } + } + if !table.environment.isEmpty { + str += "\\end{\(table.environment)}" + } + } + } else if atom.type == .overline { + if let overline = atom as? MTOverLine { + str += "\\overline" + str += "{\(mathListToString(overline.innerList!))}" + } + } else if atom.type == .underline { + if let underline = atom as? MTUnderLine { + str += "\\underline" + str += "{\(mathListToString(underline.innerList!))}" + } + } else if atom.type == .accent { + if let accent = atom as? MTAccent { + str += "\\\(MTMathAtomFactory.accentName(accent)!){\(mathListToString(accent.innerList!))}" + } + } else if atom.type == .largeOperator { + let op = atom as! MTLargeOperator + let command = MTMathAtomFactory.latexSymbolName(for: atom) + let originalOp = MTMathAtomFactory.atom(forLatexSymbol: command!) as! MTLargeOperator + str += "\\\(command!) " + if originalOp.limits != op.limits { + if op.limits { + str += "\\limits " + } else { + str += "\\nolimits " + } + } + } else if atom.type == .space { + if let space = atom as? MTMathSpace { + if let command = Self.spaceToCommands[space.space] { + str += "\\\(command) " + } else { + str += String(format: "\\mkern%.1fmu", space.space) + } + } + } else if atom.type == .style { + if let style = atom as? MTMathStyle { + if let command = Self.styleToCommands[style.style] { + str += "\\\(command) " + } + } + } else if atom.nucleus.isEmpty { + str += "{}" + } else if atom.nucleus == "\u{2236}" { + // math colon + str += ":" + } else if atom.nucleus == "\u{2212}" { + // math minus + str += "-" + } else { + if let command = MTMathAtomFactory.latexSymbolName(for: atom) { + str += "\\\(command) " + } else { + str += "\(atom.nucleus)" + } + } + + if atom.superScript != nil { + str += "^{\(mathListToString(atom.superScript!))}" + } + + if atom.subScript != nil { + str += "_{\(mathListToString(atom.subScript!))}" + } + } + } + if currentfontStyle != .defaultStyle { + str += "}" + } + return str + } + + public static func delimToString(delim: MTMathAtom) -> String { + if let command = MTMathAtomFactory.getDelimiterName(of: delim) { + let singleChars = [ "(", ")", "[", "]", "<", ">", "|", ".", "/"] + if singleChars.contains(command) { + return command + } else if command == "||" { + return "\\|" + } else { + return "\\\(command)" + } + } + return "" + } + + mutating func atomForCommand(_ command:String) -> MTMathAtom? { + if let atom = MTMathAtomFactory.atom(forLatexSymbol: command) { + return atom + } + if let accent = MTMathAtomFactory.accent(withName: command) { + // The command is an accent + accent.innerList = self.buildInternal(true) + return accent; + } else if command == "frac" { + // A fraction command has 2 arguments + let frac = MTFraction() + frac.numerator = self.buildInternal(true) + frac.denominator = self.buildInternal(true) + return frac; + } else if command == "cfrac" { + // A continued fraction command with optional alignment and 2 arguments + let frac = MTFraction() + frac.isContinuedFraction = true + + // Parse optional alignment parameter [l], [r], [c] + skipSpaces() + if hasCharacters && string[currentCharIndex] == "[" { + _ = getNextCharacter() // consume '[' + if hasCharacters { + let alignmentChar = getNextCharacter() + if alignmentChar == "l" || alignmentChar == "r" || alignmentChar == "c" { + frac.alignment = String(alignmentChar) + } + } + // Consume closing ']' + if hasCharacters && string[currentCharIndex] == "]" { + _ = getNextCharacter() + } + } + + frac.numerator = self.buildInternal(true) + frac.denominator = self.buildInternal(true) + return frac; + } else if command == "dfrac" { + // Display-style fraction command has 2 arguments + let frac = MTFraction() + let numerator = self.buildInternal(true) + let denominator = self.buildInternal(true) + + // Prepend \displaystyle to force display mode rendering + let displayStyle = MTMathStyle(style: .display) + numerator?.insert(displayStyle, at: 0) + denominator?.insert(displayStyle, at: 0) + + frac.numerator = numerator + frac.denominator = denominator + return frac; + } else if command == "tfrac" { + // Text-style fraction command has 2 arguments + let frac = MTFraction() + let numerator = self.buildInternal(true) + let denominator = self.buildInternal(true) + + // Prepend \textstyle to force text mode rendering + let textStyle = MTMathStyle(style: .text) + numerator?.insert(textStyle, at: 0) + denominator?.insert(textStyle, at: 0) + + frac.numerator = numerator + frac.denominator = denominator + return frac; + } else if command == "binom" { + // A binom command has 2 arguments + let frac = MTFraction(hasRule: false) + frac.numerator = self.buildInternal(true) + frac.denominator = self.buildInternal(true) + frac.leftDelimiter = "("; + frac.rightDelimiter = ")"; + return frac; + } else if command == "bra" { + // Dirac bra notation: \bra{psi} -> ⟨psi| + let inner = MTInner() + inner.leftBoundary = MTMathAtomFactory.boundary(forDelimiter: "langle") + inner.rightBoundary = MTMathAtomFactory.boundary(forDelimiter: "|") + inner.innerList = self.buildInternal(true) + return inner + } else if command == "ket" { + // Dirac ket notation: \ket{psi} -> |psi⟩ + let inner = MTInner() + inner.leftBoundary = MTMathAtomFactory.boundary(forDelimiter: "|") + inner.rightBoundary = MTMathAtomFactory.boundary(forDelimiter: "rangle") + inner.innerList = self.buildInternal(true) + return inner + } else if command == "braket" { + // Dirac braket notation: \braket{phi}{psi} -> ⟨phi|psi⟩ + let inner = MTInner() + inner.leftBoundary = MTMathAtomFactory.boundary(forDelimiter: "langle") + inner.rightBoundary = MTMathAtomFactory.boundary(forDelimiter: "rangle") + // Build the inner content: phi | psi + let phi = self.buildInternal(true) + let psi = self.buildInternal(true) + let content = MTMathList() + if let phiList = phi { + for atom in phiList.atoms { + content.add(atom) + } + } + // Add the | separator + content.add(MTMathAtom(type: .ordinary, value: "|")) + if let psiList = psi { + for atom in psiList.atoms { + content.add(atom) + } + } + inner.innerList = content + return inner + } else if command == "operatorname" || command == "operatorname*" { + // \operatorname{name} creates a custom operator with proper spacing + // \operatorname*{name} creates an operator with limits above/below + let hasLimits = command.hasSuffix("*") + + // Parse the operator name + let content = self.buildInternal(true) + + // Convert the parsed content to a string + var operatorName = "" + if let atoms = content?.atoms { + for atom in atoms { + operatorName += atom.nucleus + } + } + + if operatorName.isEmpty { + let errorMessage = "Missing operator name for \\operatorname" + self.setError(.invalidCommand, message: errorMessage) + return nil + } + + return MTLargeOperator(value: operatorName, limits: hasLimits) + } else if command == "sqrt" { + // A sqrt command with one argument + let rad = MTRadical() + guard self.hasCharacters else { + rad.radicand = self.buildInternal(true) + return rad + } + let ch = self.getNextCharacter() + if (ch == "[") { + // special handling for sqrt[degree]{radicand} + rad.degree = self.buildInternal(false, stopChar:"]") + rad.radicand = self.buildInternal(true) + } else { + self.unlookCharacter() + rad.radicand = self.buildInternal(true) + } + return rad; + } else if command == "left" { + // Save the current inner while a new one gets built. + let oldInner = currentInnerAtom + currentInnerAtom = MTInner() + currentInnerAtom!.leftBoundary = self.getBoundaryAtom("left") + if currentInnerAtom!.leftBoundary == nil { + return nil; + } + currentInnerAtom!.innerList = self.buildInternal(false) + if currentInnerAtom!.rightBoundary == nil { + // A right node would have set the right boundary so we must be missing the right node. + let errorMessage = "Missing \\right" + self.setError(.missingRight, message:errorMessage) + return nil + } + // reinstate the old inner atom. + let newInner = currentInnerAtom; + currentInnerAtom = oldInner; + return newInner; + } else if command == "overline" { + // The overline command has 1 arguments + let over = MTOverLine() + over.innerList = self.buildInternal(true) + return over + } else if command == "underline" { + // The underline command has 1 arguments + let under = MTUnderLine() + under.innerList = self.buildInternal(true) + return under + } else if command == "substack" { + // \substack reads ONE braced argument containing rows separated by \\ + // Similar to how \frac reads {numerator}{denominator} + + // Read the braced content using standard pattern + let content = self.buildInternal(true) + + if content == nil { + return nil + } + + // The content may already be a table if \\ was encountered + // Check if we got a table from the \\ parsing + if content!.atoms.count == 1, let tableAtom = content!.atoms.first as? MTMathTable { + return tableAtom + } + + // Otherwise, single row - wrap in table + var rows = [[MTMathList]]() + rows.append([content!]) + + var error: NSError? = self.error + let table = MTMathAtomFactory.table(withEnvironment: nil, rows: rows, error: &error) + if table == nil && self.error == nil { + self.error = error + return nil + } + + return table + } else if command == "begin" { + let env = self.readEnvironment() + if env == nil { + return nil; + } + let table = self.buildTable(env: env, firstList:nil, isRow:false) + return table + } else if command == "color" { + // A color command has 2 arguments + let mathColor = MTMathColor() + let color = self.readColor() + if color == nil { + return nil; + } + mathColor.colorString = color! + mathColor.innerList = self.buildInternal(true) + return mathColor + } else if command == "textcolor" { + // A textcolor command has 2 arguments + let mathColor = MTMathTextColor() + let color = self.readColor() + if color == nil { + return nil; + } + mathColor.colorString = color! + mathColor.innerList = self.buildInternal(true) + return mathColor + } else if command == "colorbox" { + // A color command has 2 arguments + let mathColorbox = MTMathColorbox() + let color = self.readColor() + if color == nil { + return nil; + } + mathColorbox.colorString = color! + mathColorbox.innerList = self.buildInternal(true) + return mathColorbox + } else if command == "pmod" { + // A pmod command has 1 argument - creates (mod n) + let inner = MTInner() + inner.leftBoundary = MTMathAtomFactory.boundary(forDelimiter: "(") + inner.rightBoundary = MTMathAtomFactory.boundary(forDelimiter: ")") + + let innerList = MTMathList() + + // Add the "mod" operator (upright text) + let modOperator = MTMathAtomFactory.atom(forLatexSymbol: "mod")! + innerList.add(modOperator) + + // Add medium space between "mod" and argument (6mu) + let space = MTMathSpace(space: 6.0) + innerList.add(space) + + // Parse the argument from braces + let argument = self.buildInternal(true) + if let argList = argument { + innerList.append(argList) + } + + inner.innerList = innerList + return inner + } else if command == "not" { + // Handle \not command with lookahead for comprehensive negation support + let nextCommand = self.peekNextCommand() + + if let negatedUnicode = Self.notCombinations[nextCommand] { + self.consumeNextCommand() // Remove base symbol from stream + return MTMathAtom(type: .relation, value: negatedUnicode) + } else { + let errorMessage = "Unsupported \\not\\\(nextCommand) combination" + self.setError(.invalidCommand, message: errorMessage) + return nil + } + } else if let sizeMultiplier = Self.delimiterSizeCommands[command] { + // Handle \big, \Big, \bigg, \Bigg and their variants + let delim = self.readDelimiter() + if delim == nil { + let errorMessage = "Missing delimiter for \\\(command)" + self.setError(.missingDelimiter, message: errorMessage) + return nil + } + let boundary = MTMathAtomFactory.boundary(forDelimiter: delim!) + if boundary == nil { + let errorMessage = "Invalid delimiter for \\\(command): \(delim!)" + self.setError(.invalidDelimiter, message: errorMessage) + return nil + } + + // Create MTInner with explicit delimiter height + let inner = MTInner() + + // Determine if this is a left, right, or middle delimiter based on command suffix + let isLeft = command.hasSuffix("l") + let isRight = command.hasSuffix("r") + // let isMiddle = command.hasSuffix("m") // For future use + + if isLeft { + inner.leftBoundary = boundary + inner.rightBoundary = MTMathAtomFactory.boundary(forDelimiter: ".") + } else if isRight { + inner.leftBoundary = MTMathAtomFactory.boundary(forDelimiter: ".") + inner.rightBoundary = boundary + } else { + // For \big, \Big, \bigg, \Bigg and \bigm variants, use the delimiter on both sides + // but with empty inner content - it's just a sized delimiter + inner.leftBoundary = boundary + inner.rightBoundary = MTMathAtomFactory.boundary(forDelimiter: ".") + } + + inner.innerList = MTMathList() + inner.delimiterHeight = sizeMultiplier // Store multiplier, typesetter will compute actual height + + return inner + } else { + let errorMessage = "Invalid command \\\(command)" + self.setError(.invalidCommand, message:errorMessage) + return nil; + } + } + + mutating func readColor() -> String? { + if !self.expectCharacter("{") { + // We didn't find an opening brace, so no env found. + self.setError(.characterNotFound, message:"Missing {") + return nil; + } + + // Ignore spaces and nonascii. + self.skipSpaces() + + // a string of all upper and lower case characters. + var mutable = "" + while self.hasCharacters { + let ch = self.getNextCharacter() + if ch == "#" || (ch >= "A" && ch <= "Z") || (ch >= "a" && ch <= "z") || (ch >= "0" && ch <= "9") { + mutable.append(ch) // appendString:[NSString stringWithCharacters:&ch length:1]]; + } else { + // we went too far + self.unlookCharacter() + break; + } + } + + if !self.expectCharacter("}") { + // We didn't find an closing brace, so invalid format. + self.setError(.characterNotFound, message:"Missing }") + return nil; + } + return mutable; + } + + mutating func skipSpaces() { + while self.hasCharacters { + let ch = self.getNextCharacter().utf32Char + if ch < 0x21 || ch > 0x7E { + // skip non ascii characters and spaces + continue; + } else { + self.unlookCharacter() + return; + } + } + } + + static var fractionCommands: [String:[Character]] { + [ + "over": [], + "atop" : [], + "choose" : [ "(", ")"], + "brack" : [ "[", "]"], + "brace" : [ "{", "}"] + ] + } + + mutating func stopCommand(_ command: String, list:MTMathList, stopChar:Character?) -> MTMathList? { + if command == "right" { + if currentInnerAtom == nil { + let errorMessage = "Missing \\left"; + self.setError(.missingLeft, message:errorMessage) + return nil; + } + currentInnerAtom!.rightBoundary = self.getBoundaryAtom("right") + if currentInnerAtom!.rightBoundary == nil { + return nil; + } + // return the list read so far. + return list + } else if let delims = Self.fractionCommands[command] { + var frac:MTFraction! = nil; + if command == "over" { + frac = MTFraction() + } else { + frac = MTFraction(hasRule: false) + } + if delims.count == 2 { + frac.leftDelimiter = String(delims[0]) + frac.rightDelimiter = String(delims[1]) + } + frac.numerator = list; + frac.denominator = self.buildInternal(false, stopChar: stopChar) + if error != nil { + return nil; + } + let fracList = MTMathList() + fracList.add(frac) + return fracList + } else if command == "\\" || command == "cr" { + if currentEnv != nil { + // Stop the current list and increment the row count + currentEnv!.numRows+=1 + return list + } else { + // Create a new table with the current list and a default env + if let table = self.buildTable(env: nil, firstList:list, isRow:true) { + return MTMathList(atom: table) + } + } + } else if command == "end" { + if currentEnv == nil { + let errorMessage = "Missing \\begin"; + self.setError(.missingBegin, message:errorMessage) + return nil + } + let env = self.readEnvironment() + if env == nil { + return nil + } + if env! != currentEnv!.envName { + let errorMessage = "Begin environment name \(currentEnv!.envName ?? "(none)") does not match end name: \(env!)" + self.setError(.invalidEnv, message:errorMessage) + return nil + } + // Finish the current environment. + currentEnv!.ended = true + return list + } + return nil + } + + // Applies the modifier to the atom. Returns true if modifier applied. + mutating func applyModifier(_ modifier:String, atom:MTMathAtom?) -> Bool { + if modifier == "limits" { + if atom?.type != .largeOperator { + let errorMessage = "Limits can only be applied to an operator." + self.setError(.invalidLimits, message:errorMessage) + } else { + let op = atom as! MTLargeOperator + op.limits = true + } + return true + } else if modifier == "nolimits" { + if atom?.type != .largeOperator { + let errorMessage = "No limits can only be applied to an operator." + self.setError(.invalidLimits, message:errorMessage) + } else { + let op = atom as! MTLargeOperator + op.limits = false + } + return true + } + return false + } + + mutating func setError(_ code:MTParseErrors, message:String) { + // Only record the first error. + if error == nil { + error = NSError(domain: MTParseError, code: code.rawValue, userInfo: [ NSLocalizedDescriptionKey : message ]) + } + } + + mutating func atom(forCommand command: String) -> MTMathAtom? { + if let atom = MTMathAtomFactory.atom(forLatexSymbol: command) { + return atom + } + if let accent = MTMathAtomFactory.accent(withName: command) { + accent.innerList = self.buildInternal(true) + return accent + } else if command == "frac" { + let frac = MTFraction() + frac.numerator = self.buildInternal(true) + frac.denominator = self.buildInternal(true) + return frac + } else if command == "cfrac" { + let frac = MTFraction() + frac.isContinuedFraction = true + + // Parse optional alignment parameter [l], [r], [c] + skipSpaces() + if hasCharacters && string[currentCharIndex] == "[" { + _ = getNextCharacter() // consume '[' + if hasCharacters { + let alignmentChar = getNextCharacter() + if alignmentChar == "l" || alignmentChar == "r" || alignmentChar == "c" { + frac.alignment = String(alignmentChar) + } + } + // Consume closing ']' + if hasCharacters && string[currentCharIndex] == "]" { + _ = getNextCharacter() + } + } + + frac.numerator = self.buildInternal(true) + frac.denominator = self.buildInternal(true) + return frac + } else if command == "dfrac" { + // Display-style fraction command has 2 arguments + let frac = MTFraction() + let numerator = self.buildInternal(true) + let denominator = self.buildInternal(true) + + // Prepend \displaystyle to force display mode rendering + let displayStyle = MTMathStyle(style: .display) + numerator?.insert(displayStyle, at: 0) + denominator?.insert(displayStyle, at: 0) + + frac.numerator = numerator + frac.denominator = denominator + return frac + } else if command == "tfrac" { + // Text-style fraction command has 2 arguments + let frac = MTFraction() + let numerator = self.buildInternal(true) + let denominator = self.buildInternal(true) + + // Prepend \textstyle to force text mode rendering + let textStyle = MTMathStyle(style: .text) + numerator?.insert(textStyle, at: 0) + denominator?.insert(textStyle, at: 0) + + frac.numerator = numerator + frac.denominator = denominator + return frac + } else if command == "binom" { + let frac = MTFraction(hasRule: false) + frac.numerator = self.buildInternal(true) + frac.denominator = self.buildInternal(true) + frac.leftDelimiter = "(" + frac.rightDelimiter = ")" + return frac + } else if command == "bra" { + // Dirac bra notation: \bra{psi} -> ⟨psi| + let inner = MTInner() + inner.leftBoundary = MTMathAtomFactory.boundary(forDelimiter: "langle") + inner.rightBoundary = MTMathAtomFactory.boundary(forDelimiter: "|") + inner.innerList = self.buildInternal(true) + return inner + } else if command == "ket" { + // Dirac ket notation: \ket{psi} -> |psi⟩ + let inner = MTInner() + inner.leftBoundary = MTMathAtomFactory.boundary(forDelimiter: "|") + inner.rightBoundary = MTMathAtomFactory.boundary(forDelimiter: "rangle") + inner.innerList = self.buildInternal(true) + return inner + } else if command == "braket" { + // Dirac braket notation: \braket{phi}{psi} -> ⟨phi|psi⟩ + let inner = MTInner() + inner.leftBoundary = MTMathAtomFactory.boundary(forDelimiter: "langle") + inner.rightBoundary = MTMathAtomFactory.boundary(forDelimiter: "rangle") + let phi = self.buildInternal(true) + let psi = self.buildInternal(true) + let content = MTMathList() + if let phiList = phi { + for atom in phiList.atoms { + content.add(atom) + } + } + content.add(MTMathAtom(type: .ordinary, value: "|")) + if let psiList = psi { + for atom in psiList.atoms { + content.add(atom) + } + } + inner.innerList = content + return inner + } else if command == "operatorname" || command == "operatorname*" { + // \operatorname{name} creates a custom operator with proper spacing + // \operatorname*{name} creates an operator with limits above/below + let hasLimits = command.hasSuffix("*") + + let content = self.buildInternal(true) + var operatorName = "" + if let atoms = content?.atoms { + for atom in atoms { + operatorName += atom.nucleus + } + } + if operatorName.isEmpty { + self.setError(.invalidCommand, message: "Missing operator name for \\operatorname") + return nil + } + return MTLargeOperator(value: operatorName, limits: hasLimits) + } else if command == "sqrt" { + let rad = MTRadical() + guard self.hasCharacters else { + rad.radicand = self.buildInternal(true) + return rad + } + let char = self.getNextCharacter() + if char == "[" { + rad.degree = self.buildInternal(false, stopChar: "]") + rad.radicand = self.buildInternal(true) + } else { + self.unlookCharacter() + rad.radicand = self.buildInternal(true) + } + return rad + } else if command == "left" { + let oldInner = self.currentInnerAtom + self.currentInnerAtom = MTInner() + self.currentInnerAtom?.leftBoundary = self.getBoundaryAtom("left") + if self.currentInnerAtom?.leftBoundary == nil { + return nil + } + self.currentInnerAtom!.innerList = self.buildInternal(false) + if self.currentInnerAtom?.rightBoundary == nil { + self.setError(.missingRight, message: "Missing \\right") + return nil + } + let newInner = self.currentInnerAtom + currentInnerAtom = oldInner + return newInner + } else if command == "overline" { + let over = MTOverLine() + over.innerList = self.buildInternal(true) + + return over + } else if command == "underline" { + let under = MTUnderLine() + under.innerList = self.buildInternal(true) + + return under + } else if command == "begin" { + if let env = self.readEnvironment() { + // Check if this is a starred matrix environment and read optional alignment + var alignment: MTColumnAlignment? = nil + if env.hasSuffix("*") { + alignment = self.readOptionalAlignment() + if self.error != nil { + return nil + } + } + + let table = self.buildTable(env: env, alignment: alignment, firstList: nil, isRow: false) + return table + } else { + return nil + } + } else if command == "color" { + // A color command has 2 arguments + let mathColor = MTMathColor() + mathColor.colorString = self.readColor()! + mathColor.innerList = self.buildInternal(true) + return mathColor + } else if command == "colorbox" { + // A color command has 2 arguments + let mathColorbox = MTMathColorbox() + mathColorbox.colorString = self.readColor()! + mathColorbox.innerList = self.buildInternal(true) + return mathColorbox + } else { + self.setError(.invalidCommand, message: "Invalid command \\\(command)") + return nil + } + } + + mutating func readEnvironment() -> String? { + if !self.expectCharacter("{") { + // We didn't find an opening brace, so no env found. + self.setError(.characterNotFound, message: "Missing {") + return nil + } + + self.skipSpaces() + let env = self.readString() + + if !self.expectCharacter("}") { + // We didn"t find an closing brace, so invalid format. + self.setError(.characterNotFound, message: "Missing }") + return nil; + } + return env + } + + /// Reads optional alignment parameter for starred matrix environments: [r], [l], or [c] + mutating func readOptionalAlignment() -> MTColumnAlignment? { + self.skipSpaces() + + // Check if there's an opening bracket + guard hasCharacters && string[currentCharIndex] == "[" else { + return nil + } + + _ = getNextCharacter() // consume '[' + self.skipSpaces() + + guard hasCharacters else { + self.setError(.characterNotFound, message: "Missing alignment specifier after [") + return nil + } + + let alignChar = getNextCharacter() + let alignment: MTColumnAlignment? + + switch alignChar { + case "l": + alignment = .left + case "c": + alignment = .center + case "r": + alignment = .right + default: + self.setError(.invalidEnv, message: "Invalid alignment specifier: \(alignChar). Must be l, c, or r") + return nil + } + + self.skipSpaces() + + if !self.expectCharacter("]") { + self.setError(.characterNotFound, message: "Missing ] after alignment specifier") + return nil + } + + return alignment + } + + func MTAssertNotSpace(_ ch: Character) { + assert(ch >= "\u{21}" && ch <= "\u{7E}", "Expected non-space character \(ch)") + } + + mutating func buildTable(env: String?, alignment: MTColumnAlignment? = nil, firstList: MTMathList?, isRow: Bool) -> MTMathAtom? { + // Save the current env till an new one gets built. + let oldEnv = self.currentEnv + + currentEnv = MTEnvProperties(name: env, alignment: alignment) + + var currentRow = 0 + var currentCol = 0 + + var rows = [[MTMathList]]() + rows.append([MTMathList]()) + if firstList != nil { + rows[currentRow].append(firstList!) + if isRow { + currentEnv!.numRows+=1 + currentRow+=1 + rows.append([MTMathList]()) + } else { + currentCol+=1 + } + } + while !currentEnv!.ended && self.hasCharacters { + let list = self.buildInternal(false) + if list == nil { + // If there is an error building the list, bail out early. + return nil + } + rows[currentRow].append(list!) + currentCol+=1 + if currentEnv!.numRows > currentRow { + currentRow = currentEnv!.numRows + rows.append([MTMathList]()) + currentCol = 0 + } + } + + if !currentEnv!.ended && currentEnv!.envName != nil { + self.setError(.missingEnd, message: "Missing \\end") + return nil + } + + var error:NSError? = self.error + let table = MTMathAtomFactory.table(withEnvironment: currentEnv?.envName, alignment: currentEnv?.alignment, rows: rows, error: &error) + if table == nil && self.error == nil { + self.error = error + return nil + } + self.currentEnv = oldEnv + return table + } + + mutating func getBoundaryAtom(_ delimiterType: String) -> MTMathAtom? { + let delim = self.readDelimiter() + if delim == nil { + let errorMessage = "Missing delimiter for \\\(delimiterType)" + self.setError(.missingDelimiter, message:errorMessage) + return nil + } + let boundary = MTMathAtomFactory.boundary(forDelimiter: delim!) + if boundary == nil { + let errorMessage = "Invalid delimiter for \(delimiterType): \(delim!)" + self.setError(.invalidDelimiter, message:errorMessage) + return nil + } + return boundary + } + + mutating func readDelimiter() -> String? { + self.skipSpaces() + while self.hasCharacters { + let char = self.getNextCharacter() + MTAssertNotSpace(char) + if char == "\\" { + let command = self.readCommand() + if command == "|" { + return "||" + } + return command + } else { + return String(char) + } + } + return nil + } + + mutating func readCommand() -> String { + let singleChars = "{}$#%_| ,>;!\\" + if self.hasCharacters { + let char = self.getNextCharacter() + if let _ = singleChars.firstIndex(of: char) { + return String(char) + } else { + self.unlookCharacter() + } + } + return self.readString() + } + + mutating func readString() -> String { + // a string of all upper and lower case characters (and asterisks for starred environments) + var output = "" + while self.hasCharacters { + let char = self.getNextCharacter() + if char.isLowercase || char.isUppercase || char == "*" { + output.append(char) + } else { + self.unlookCharacter() + break + } + } + return output + } +} diff --git a/third-party/SwiftMath/Sources/MathRender/MTMathListDisplay.swift b/third-party/SwiftMath/Sources/MathRender/MTMathListDisplay.swift new file mode 100755 index 0000000000..a0fa47c879 --- /dev/null +++ b/third-party/SwiftMath/Sources/MathRender/MTMathListDisplay.swift @@ -0,0 +1,881 @@ +// +// Created by Mike Griebling on 2022-12-31. +// Translated from an Objective-C implementation by Kostub Deshmukh. +// +// This software may be modified and distributed under the terms of the +// MIT license. See the LICENSE file for details. +// + +import Foundation +import QuartzCore +import CoreText +import SwiftUI + +func isIos6Supported() -> Bool { + if !MTDisplay.initialized { +#if os(iOS) || os(visionOS) + let reqSysVer = "6.0" + let currSysVer = UIDevice.current.systemVersion + if currSysVer.compare(reqSysVer, options: .numeric) != .orderedAscending { + MTDisplay.supported = true + } +#else + MTDisplay.supported = true +#endif + MTDisplay.initialized = true + } + return MTDisplay.supported +} + +// The Downshift protocol allows an MTDisplay to be shifted down by a given amount. +protocol DownShift { + var shiftDown:CGFloat { set get } +} + +// MARK: - MTDisplay + +/// The base class for rendering a math equation. +public class MTDisplay:NSObject { + + // needed for isIos6Supported() func above + static var initialized = false + static var supported = false + + /// Draws itself in the given graphics context. + public func draw(_ context:CGContext) { + if self.localBackgroundColor != nil { + context.saveGState() + context.setBlendMode(.normal) + context.setFillColor(self.localBackgroundColor!.cgColor) + context.fill(self.displayBounds()) + context.restoreGState() + } + } + + /// Gets the bounding rectangle for the MTDisplay + func displayBounds() -> CGRect { + CGRectMake(self.position.x, self.position.y - self.descent, self.width, self.ascent + self.descent) + } + + /// For debugging. Shows the object in quick look in Xcode. +#if os(iOS) || os(visionOS) + func debugQuickLookObject() -> Any { + let size = CGSizeMake(self.width, self.ascent + self.descent); + UIGraphicsBeginImageContext(size); + + // get a reference to that context we created + let context = UIGraphicsGetCurrentContext()! + // translate/flip the graphics context (for transforming from CG* coords to UI* coords + context.translateBy(x: 0, y: size.height); + context.scaleBy(x: 1.0, y: -1.0); + // move the position to (0,0) + context.translateBy(x: -self.position.x, y: -self.position.y); + + // Move the line up by self.descent + context.translateBy(x: 0, y: self.descent); + // Draw self on context + self.draw(context) + + // generate a new UIImage from the graphics context we drew onto + let img = UIGraphicsGetImageFromCurrentImageContext() + return img as Any + } +#endif + + /// The distance from the axis to the top of the display + public var ascent:CGFloat = 0 + /// The distance from the axis to the bottom of the display + public var descent:CGFloat = 0 + /// The width of the display + public var width:CGFloat = 0 + /// Position of the display with respect to the parent view or display. + var position = CGPoint.zero + /// The range of characters supported by this item + public var range:NSRange=NSMakeRange(0, 0) + /// Whether the display has a subscript/superscript following it. + public var hasScript:Bool = false + /// The text color for this display + var textColor: MTColor? + /// The local color, if the color was mutated local with the color command + var localTextColor: MTColor? + /// The background color for this display + var localBackgroundColor: MTColor? + +} + +/// Special class to be inherited from that implements the DownShift protocol +class MTDisplayDS : MTDisplay, DownShift { + + var shiftDown: CGFloat = 0 + +} + +// MARK: - MTCTLineDisplay + +/// A rendering of a single CTLine as an MTDisplay +public class MTCTLineDisplay : MTDisplay { + + /// The CTLine being displayed + public var line:CTLine! + /// The attributed string used to generate the CTLineRef. Note setting this does not reset the dimensions of + /// the display. So set only when + var attributedString:NSAttributedString? { + didSet { + line = CTLineCreateWithAttributedString(attributedString!) + } + } + + /// An array of MTMathAtoms that this CTLine displays. Used for indexing back into the MTMathList + public fileprivate(set) var atoms = [MTMathAtom]() + + init(withString attrString:NSAttributedString?, position:CGPoint, range:NSRange, font:MTFont?, atoms:[MTMathAtom]) { + super.init() + self.position = position + self.attributedString = attrString + self.line = CTLineCreateWithAttributedString(attrString!) + self.range = range + self.atoms = atoms + // We can't use typographic bounds here as the ascent and descent returned are for the font and not for the line. + // CRITICAL FIX for accented character clipping: + // Use the MAXIMUM of typographic width and visual width to account for glyph overhang. + // - Typographic width = advance width (how far the cursor moves) + // - Visual width = actual glyph extent (CGRectGetMaxX of glyph path bounds) + // Some glyphs (especially italic/oblique accented characters) extend beyond their advance width. + // Using max() ensures we account for overhang while maintaining proper spacing for normal glyphs. + let typographicWidth = CGFloat(CTLineGetTypographicBounds(line, nil, nil, nil)) + if isIos6Supported() { + let bounds = CTLineGetBoundsWithOptions(line, .useGlyphPathBounds) + self.ascent = max(0, CGRectGetMaxY(bounds) - 0); + self.descent = max(0, 0 - CGRectGetMinY(bounds)); + // Use the maximum of visual and typographic width to handle both: + // 1. Overhanging glyphs (visual > typographic) - prevents clipping + // 2. Normal glyphs (typographic >= visual) - maintains correct spacing + let visualWidth = CGRectGetMaxX(bounds) + self.width = max(typographicWidth, visualWidth); + } else { + // Our own implementation of the ios6 function to get glyph path bounds. + self.computeDimensions(font, typographicWidth: typographicWidth) + } + } + + override var textColor: MTColor? { + set { + super.textColor = newValue + let attrStr = attributedString!.mutableCopy() as! NSMutableAttributedString + let foregroundColor = NSAttributedString.Key(kCTForegroundColorAttributeName as String) + attrStr.addAttribute(foregroundColor, value:self.textColor!.cgColor, range:NSMakeRange(0, attrStr.length)) + self.attributedString = attrStr + } + get { super.textColor } + } + + func computeDimensions(_ font:MTFont?, typographicWidth: CGFloat) { + let runs = CTLineGetGlyphRuns(line) as NSArray + var maxVisualWidth: CGFloat = 0 + var currentX: CGFloat = 0 + + for obj in runs { + let run = obj as! CTRun? + let numGlyphs = CTRunGetGlyphCount(run!) + var glyphs = [CGGlyph]() + glyphs.reserveCapacity(numGlyphs) + CTRunGetGlyphs(run!, CFRangeMake(0, numGlyphs), &glyphs); + let bounds = CTFontGetBoundingRectsForGlyphs(font!.ctFont, .horizontal, glyphs, nil, numGlyphs); + let ascent = max(0, CGRectGetMaxY(bounds) - 0); + // Descent is how much the line goes below the origin. However if the line is all above the origin, then descent can't be negative. + let descent = max(0, 0 - CGRectGetMinY(bounds)); + if (ascent > self.ascent) { + self.ascent = ascent; + } + if (descent > self.descent) { + self.descent = descent; + } + + // Calculate visual width using glyph extent + // Get the rightmost edge of this run's glyphs + let runVisualWidth = CGRectGetMaxX(bounds) + let runRightEdge = currentX + runVisualWidth + + // Get advances to know where next run starts + var advances = [CGSize](repeating: CGSize.zero, count: numGlyphs) + CTRunGetAdvances(run!, CFRangeMake(0, numGlyphs), &advances) + for advance in advances { + currentX += advance.width + } + + if (runRightEdge > maxVisualWidth) { + maxVisualWidth = runRightEdge + } + } + + // Use maximum of typographic and visual width + self.width = max(typographicWidth, maxVisualWidth) + } + + override public func draw(_ context: CGContext) { + super.draw(context) + context.saveGState() + + context.textPosition = self.position + CTLineDraw(line, context) + + context.restoreGState() + } + +} + +// MARK: - MTMathListDisplay + +/// An MTLine is a rendered form of MTMathList in one line. +/// It can render itself using the draw method. +public class MTMathListDisplay : MTDisplay { + + /** + The type of position for a line, i.e. subscript/superscript or regular. + */ + public enum LinePosition : Int { + /// Regular + case regular + /// Positioned at a subscript + case ssubscript + /// Positioned at a superscript + case superscript + } + + /// Where the line is positioned + public var type:LinePosition = .regular + /// An array of MTDisplays which are positioned relative to the position of the + /// the current display. + public fileprivate(set) var subDisplays = [MTDisplay]() + /// If a subscript or superscript this denotes the location in the parent MTList. For a + /// regular list this is NSNotFound + public var index: Int = 0 + + init(withDisplays displays:[MTDisplay], range:NSRange) { + super.init() + self.subDisplays = displays + self.position = CGPoint.zero + self.type = .regular + self.index = NSNotFound + self.range = range + self.recomputeDimensions() + } + + override var textColor: MTColor? { + set { + super.textColor = newValue + for displayAtom in self.subDisplays { + if displayAtom.localTextColor == nil { + displayAtom.textColor = newValue + } else { + displayAtom.textColor = displayAtom.localTextColor + } + } + } + get { super.textColor } + } + + override public func draw(_ context: CGContext) { + super.draw(context) + context.saveGState() + + // Make the current position the origin as all the positions of the sub atoms are relative to the origin. + context.translateBy(x: self.position.x, y: self.position.y) + context.textPosition = CGPoint.zero + + // draw each atom separately + for displayAtom in self.subDisplays { + displayAtom.draw(context) + } + + context.restoreGState() + } + + func recomputeDimensions() { + var max_ascent:CGFloat = 0 + var max_descent:CGFloat = 0 + var max_width:CGFloat = 0 + for atom in self.subDisplays { + let ascent = max(0, atom.position.y + atom.ascent); + if (ascent > max_ascent) { + max_ascent = ascent; + } + + let descent = max(0, 0 - (atom.position.y - atom.descent)); + if (descent > max_descent) { + max_descent = descent; + } + let width = atom.width + atom.position.x; + if (width > max_width) { + max_width = width; + } + } + self.ascent = max_ascent; + self.descent = max_descent; + self.width = max_width; + } + +} + +// MARK: - MTFractionDisplay + +/// Rendering of an MTFraction as an MTDisplay +public class MTFractionDisplay : MTDisplay { + + /** A display representing the numerator of the fraction. Its position is relative + to the parent and is not treated as a sub-display. + */ + public fileprivate(set) var numerator:MTMathListDisplay? + /** A display representing the denominator of the fraction. Its position is relative + to the parent is not treated as a sub-display. + */ + public fileprivate(set) var denominator:MTMathListDisplay? + + var numeratorUp:CGFloat=0 { didSet { self.updateNumeratorPosition() } } + var denominatorDown:CGFloat=0 { didSet { self.updateDenominatorPosition() } } + var linePosition:CGFloat=0 + var lineThickness:CGFloat=0 + + init(withNumerator numerator:MTMathListDisplay?, denominator:MTMathListDisplay?, position:CGPoint, range:NSRange) { + super.init() + self.numerator = numerator; + self.denominator = denominator; + self.position = position; + + // CRITICAL FIX: Handle invalid ranges gracefully + // When table cells are typeset independently with maxWidth, atoms may have + // ranges that are invalid in the cell's context (e.g., (0,0) or other issues) + // Instead of crashing with assertion, normalize the range + if range.length == 0 { + // Create a dummy range with length 1 at the given location + self.range = NSMakeRange(range.location, 1) + } else { + self.range = range; + // Still assert for debugging if range length is something unexpected + assert(self.range.length == 1, "Fraction range length not 1 - range (\(range.location), \(range.length)") + } + } + + override public var ascent:CGFloat { + set { super.ascent = newValue } + get { (numerator?.ascent ?? 0) + self.numeratorUp } + } + + override public var descent:CGFloat { + set { super.descent = newValue } + get { (denominator?.descent ?? 0) + self.denominatorDown } + } + + override public var width:CGFloat { + set { super.width = newValue } + get { max(numerator?.width ?? 0, denominator?.width ?? 0) } + } + + func updateDenominatorPosition() { + guard denominator != nil else { return } + denominator!.position = CGPointMake(self.position.x + (self.width - denominator!.width)/2, self.position.y - self.denominatorDown) + } + + func updateNumeratorPosition() { + guard numerator != nil else { return } + numerator!.position = CGPointMake(self.position.x + (self.width - numerator!.width)/2, self.position.y + self.numeratorUp) + } + + override var position: CGPoint { + set { + super.position = newValue + self.updateDenominatorPosition() + self.updateNumeratorPosition() + } + get { super.position } + } + + override var textColor: MTColor? { + set { + super.textColor = newValue + numerator?.textColor = newValue + denominator?.textColor = newValue + } + get { super.textColor } + } + + override public func draw(_ context:CGContext) { + super.draw(context) + numerator?.draw(context) + denominator?.draw(context) + + context.saveGState() + + self.textColor?.setStroke() + + // draw the horizontal line + // Note: line thickness of 0 draws the thinnest possible line - we want no line so check for 0s + if self.lineThickness > 0 { + let path = MTBezierPath() + path.move(to: CGPointMake(self.position.x, self.position.y + self.linePosition)) + path.addLine(to: CGPointMake(self.position.x + self.width, self.position.y + self.linePosition)) + path.lineWidth = self.lineThickness + path.stroke() + } + + context.restoreGState() + } + +} + +// MARK: - MTRadicalDisplay + +/// Rendering of an MTRadical as an MTDisplay +class MTRadicalDisplay : MTDisplay { + + /** A display representing the radicand of the radical. Its position is relative + to the parent is not treated as a sub-display. + */ + public fileprivate(set) var radicand:MTMathListDisplay? + /** A display representing the degree of the radical. Its position is relative + to the parent is not treated as a sub-display. + */ + public fileprivate(set) var degree:MTMathListDisplay? + + override var position: CGPoint { + set { + super.position = newValue + self.updateRadicandPosition() + } + get { super.position } + } + + override var textColor: MTColor? { + set { + super.textColor = newValue + self.radicand?.textColor = newValue + self.degree?.textColor = newValue + } + get { super.textColor } + } + + private var _radicalGlyph:MTDisplay? + private var _radicalShift:CGFloat=0 + + var topKern:CGFloat=0 + var lineThickness:CGFloat=0 + + init(withRadicand radicand:MTMathListDisplay?, glyph:MTDisplay, position:CGPoint, range:NSRange) { + super.init() + self.radicand = radicand + _radicalGlyph = glyph + _radicalShift = 0 + + self.position = position + self.range = range + } + + func setDegree(_ degree:MTMathListDisplay?, fontMetrics:MTFontMathTable?) { + // sets up the degree of the radical + var kernBefore = fontMetrics!.radicalKernBeforeDegree; + let kernAfter = fontMetrics!.radicalKernAfterDegree; + let raise = fontMetrics!.radicalDegreeBottomRaisePercent * (self.ascent - self.descent); + + // The layout is: + // kernBefore, raise, degree, kernAfter, radical + self.degree = degree; + + // the radical is now shifted by kernBefore + degree.width + kernAfter + _radicalShift = kernBefore + degree!.width + kernAfter; + if _radicalShift < 0 { + // we can't have the radical shift backwards, so instead we increase the kernBefore such + // that _radicalShift will be 0. + kernBefore -= _radicalShift; + _radicalShift = 0; + } + + // Note: position of degree is relative to parent. + self.degree!.position = CGPointMake(self.position.x + kernBefore, self.position.y + raise); + // Update the width by the _radicalShift + self.width = _radicalShift + _radicalGlyph!.width + self.radicand!.width; + // update the position of the radicand + self.updateRadicandPosition() + } + + func updateRadicandPosition() { + // The position of the radicand includes the position of the MTRadicalDisplay + // This is to make the positioning of the radical consistent with fractions and + // have the cursor position finding algorithm work correctly. + // move the radicand by the width of the radical sign + self.radicand!.position = CGPointMake(self.position.x + _radicalShift + _radicalGlyph!.width, self.position.y); + } + + override public func draw(_ context: CGContext) { + super.draw(context) + + // draw the radicand & degree at its position + self.radicand?.draw(context) + self.degree?.draw(context) + + context.saveGState(); + self.textColor?.setStroke() + self.textColor?.setFill() + + // Make the current position the origin as all the positions of the sub atoms are relative to the origin. + context.translateBy(x: self.position.x + _radicalShift, y: self.position.y); + context.textPosition = CGPoint.zero + + // Draw the glyph. + _radicalGlyph?.draw(context) + + // Draw the VBOX + // for the kern of, we don't need to draw anything. + let heightFromTop = topKern; + + // draw the horizontal line with the given thickness + let path = MTBezierPath() + let lineStart = CGPointMake(_radicalGlyph!.width, self.ascent - heightFromTop - self.lineThickness / 2); // subtract half the line thickness to center the line + let lineEnd = CGPointMake(lineStart.x + self.radicand!.width, lineStart.y); + path.move(to: lineStart) + path.addLine(to: lineEnd) + path.lineWidth = lineThickness + path.lineCapStyle = .round + path.stroke() + + context.restoreGState(); + } +} + +// MARK: - MTGlyphDisplay + +/// Rendering a glyph as a display +class MTGlyphDisplay : MTDisplayDS { + + var glyph:CGGlyph! + var font:MTFont? + /// Horizontal scale factor for stretching glyphs (1.0 = no scaling) + var scaleX: CGFloat = 1.0 + + init(withGlpyh glyph:CGGlyph, range:NSRange, font:MTFont?) { + super.init() + self.font = font + self.glyph = glyph + + self.position = CGPoint.zero + self.range = range + } + + override public func draw(_ context: CGContext) { + super.draw(context) + context.saveGState() + + self.textColor?.setFill() + + // Make the current position the origin as all the positions of the sub atoms are relative to the origin. + + context.translateBy(x: self.position.x, y: self.position.y - self.shiftDown); + + // Apply horizontal scaling if needed (for stretchy arrows) + if scaleX != 1.0 { + context.scaleBy(x: scaleX, y: 1.0) + } + + context.textPosition = CGPoint.zero + + var pos = CGPoint.zero + CTFontDrawGlyphs(font!.ctFont, &glyph, &pos, 1, context); + + context.restoreGState(); + } + + override var ascent:CGFloat { + set { super.ascent = newValue } + get { super.ascent - self.shiftDown } + } + + override var descent:CGFloat { + set { super.descent = newValue } + get { super.descent + self.shiftDown } + } +} + +// MARK: - MTGlyphConstructionDisplay + +class MTGlyphConstructionDisplay:MTDisplayDS { + var glyphs = [CGGlyph]() + var positions = [CGPoint]() + var font:MTFont? + var numGlyphs:Int=0 + + init(withGlyphs glyphs:[NSNumber?], offsets:[NSNumber?], font:MTFont?) { + super.init() + assert(glyphs.count == offsets.count, "Glyphs and offsets need to match") + self.numGlyphs = glyphs.count; + self.glyphs = [CGGlyph](repeating: CGGlyph(), count: self.numGlyphs) //malloc(sizeof(CGGlyph) * _numGlyphs); + self.positions = [CGPoint](repeating: CGPoint.zero, count: self.numGlyphs) //malloc(sizeof(CGPoint) * _numGlyphs); + for i in 0 ..< self.numGlyphs { + self.glyphs[i] = glyphs[i]!.uint16Value + self.positions[i] = CGPointMake(0, CGFloat(offsets[i]!.floatValue)) + } + self.font = font + self.position = CGPoint.zero + } + + override public func draw(_ context: CGContext) { + super.draw(context) + context.saveGState() + + self.textColor?.setFill() + + // Make the current position the origin as all the positions of the sub atoms are relative to the origin. + context.translateBy(x: self.position.x, y: self.position.y - self.shiftDown) + context.textPosition = CGPoint.zero + + // Draw the glyphs. + CTFontDrawGlyphs(font!.ctFont, glyphs, positions, numGlyphs, context) + + context.restoreGState() + } + + override var ascent:CGFloat { + set { super.ascent = newValue } + get { super.ascent - self.shiftDown } + } + + override var descent:CGFloat { + set { super.descent = newValue } + get { super.descent + self.shiftDown } + } + +} + +// MARK: - MTLargeOpLimitsDisplay + +/// Rendering a large operator with limits as an MTDisplay +class MTLargeOpLimitsDisplay : MTDisplay { + + /** A display representing the upper limit of the large operator. Its position is relative + to the parent is not treated as a sub-display. + */ + var upperLimit:MTMathListDisplay? + /** A display representing the lower limit of the large operator. Its position is relative + to the parent is not treated as a sub-display. + */ + var lowerLimit:MTMathListDisplay? + + var limitShift:CGFloat=0 + var upperLimitGap:CGFloat=0 { didSet { self.updateUpperLimitPosition() } } + var lowerLimitGap:CGFloat=0 { didSet { self.updateLowerLimitPosition() } } + var extraPadding:CGFloat=0 + + var nucleus:MTDisplay? + + init(withNucleus nucleus:MTDisplay?, upperLimit:MTMathListDisplay?, lowerLimit:MTMathListDisplay?, limitShift:CGFloat, extraPadding:CGFloat) { + super.init() + self.upperLimit = upperLimit; + self.lowerLimit = lowerLimit; + self.nucleus = nucleus; + + var maxWidth = max(nucleus!.width, upperLimit?.width ?? 0) + maxWidth = max(maxWidth, lowerLimit?.width ?? 0) + + self.limitShift = limitShift; + self.upperLimitGap = 0; + self.lowerLimitGap = 0; + self.extraPadding = extraPadding; // corresponds to \xi_13 in TeX + self.width = maxWidth; + } + + override var ascent:CGFloat { + set { super.ascent = newValue } + get { + if self.upperLimit != nil { + return nucleus!.ascent + extraPadding + self.upperLimit!.ascent + upperLimitGap + self.upperLimit!.descent + } else { + return nucleus!.ascent + } + } + } + + override var descent:CGFloat { + set { super.descent = newValue } + get { + if self.lowerLimit != nil { + return nucleus!.descent + extraPadding + lowerLimitGap + self.lowerLimit!.descent + self.lowerLimit!.ascent; + } else { + return nucleus!.descent; + } + } + } + + override var position: CGPoint { + set { + super.position = newValue + self.updateLowerLimitPosition() + self.updateUpperLimitPosition() + self.updateNucleusPosition() + } + get { super.position } + } + + func updateLowerLimitPosition() { + if self.lowerLimit != nil { + // The position of the lower limit includes the position of the MTLargeOpLimitsDisplay + // This is to make the positioning of the radical consistent with fractions and radicals + // Move the starting point to below the nucleus leaving a gap of _lowerLimitGap and subtract + // the ascent to to get the baseline. Also center and shift it to the left by _limitShift. + self.lowerLimit!.position = CGPointMake(self.position.x - limitShift + (self.width - lowerLimit!.width)/2, + self.position.y - nucleus!.descent - lowerLimitGap - self.lowerLimit!.ascent); + } + } + + func updateUpperLimitPosition() { + if self.upperLimit != nil { + // The position of the upper limit includes the position of the MTLargeOpLimitsDisplay + // This is to make the positioning of the radical consistent with fractions and radicals + // Move the starting point to above the nucleus leaving a gap of _upperLimitGap and add + // the descent to to get the baseline. Also center and shift it to the right by _limitShift. + self.upperLimit!.position = CGPointMake(self.position.x + limitShift + (self.width - self.upperLimit!.width)/2, + self.position.y + nucleus!.ascent + upperLimitGap + self.upperLimit!.descent); + } + } + + func updateNucleusPosition() { + // Center the nucleus + nucleus?.position = CGPointMake(self.position.x + (self.width - nucleus!.width)/2, self.position.y); + } + + override var textColor: MTColor? { + set { + super.textColor = newValue + self.upperLimit?.textColor = newValue + self.lowerLimit?.textColor = newValue + nucleus?.textColor = newValue + } + get { super.textColor } + } + + override func draw(_ context:CGContext) { + super.draw(context) + // Draw the elements. + self.upperLimit?.draw(context) + self.lowerLimit?.draw(context) + nucleus?.draw(context) + } + +} + +// MARK: - MTLineDisplay + +/// Rendering of an list with an overline or underline +class MTLineDisplay : MTDisplay { + + /** A display representing the inner list that is underlined. Its position is relative + to the parent is not treated as a sub-display. + */ + var inner:MTMathListDisplay? + var lineShiftUp:CGFloat=0 + var lineThickness:CGFloat=0 + + init(withInner inner:MTMathListDisplay?, position:CGPoint, range:NSRange) { + super.init() + self.inner = inner; + + self.position = position; + self.range = range; + } + + override var textColor: MTColor? { + set { + super.textColor = newValue + inner?.textColor = newValue + } + get { super.textColor } + } + + override var position: CGPoint { + set { + super.position = newValue + self.updateInnerPosition() + } + get { super.position } + } + + override func draw(_ context:CGContext) { + super.draw(context) + self.inner?.draw(context) + + context.saveGState(); + + self.textColor?.setStroke() + + // draw the horizontal line + let path = MTBezierPath() + let lineStart = CGPointMake(self.position.x, self.position.y + self.lineShiftUp); + let lineEnd = CGPointMake(lineStart.x + self.inner!.width, lineStart.y); + path.move(to:lineStart) + path.addLine(to: lineEnd) + path.lineWidth = self.lineThickness; + path.stroke() + + context.restoreGState(); + } + + func updateInnerPosition() { + self.inner?.position = CGPointMake(self.position.x, self.position.y); + } + +} + +// MARK: - MTAccentDisplay + +/// Rendering an accent as a display +class MTAccentDisplay : MTDisplay { + + /** A display representing the inner list that is accented. Its position is relative + to the parent is not treated as a sub-display. + */ + var accentee:MTMathListDisplay? + + /** A display representing the accent. Its position is relative to the current display. + */ + var accent:MTGlyphDisplay? + + init(withAccent glyph:MTGlyphDisplay?, accentee:MTMathListDisplay?, range:NSRange) { + super.init() + self.accent = glyph + self.accentee = accentee + self.accentee?.position = CGPoint.zero + self.range = range + } + + override var textColor: MTColor? { + set { + super.textColor = newValue + accentee?.textColor = newValue + accent?.textColor = newValue + } + get { super.textColor } + } + + override var position: CGPoint { + set { + super.position = newValue + self.updateAccenteePosition() + } + get { super.position } + } + + func updateAccenteePosition() { + self.accentee?.position = CGPointMake(self.position.x, self.position.y); + } + + override func draw(_ context:CGContext) { + super.draw(context) + self.accentee?.draw(context) + + context.saveGState(); + context.translateBy(x: self.position.x, y: self.position.y); + context.textPosition = CGPoint.zero + + self.accent?.draw(context) + + context.restoreGState(); + } + +} diff --git a/third-party/SwiftMath/Sources/MathRender/MTMathListIndex.swift b/third-party/SwiftMath/Sources/MathRender/MTMathListIndex.swift new file mode 100755 index 0000000000..34bd6bfbb0 --- /dev/null +++ b/third-party/SwiftMath/Sources/MathRender/MTMathListIndex.swift @@ -0,0 +1,197 @@ +// +// Created by Mike Griebling on 2022-12-31. +// Translated from an Objective-C implementation by Kostub Deshmukh. +// +// This software may be modified and distributed under the terms of the +// MIT license. See the LICENSE file for details. +// + +import Foundation + +/** + * An index that points to a particular character in the MTMathList. The index is a LinkedList that represents + * a path from the beginning of the MTMathList to reach a particular atom in the list. The next node of the path + * is represented by the subIndex. The path terminates when the subIndex is nil. + * + * If there is a subIndex, the subIndexType denotes what branch the path takes (i.e. superscript, subscript, + * numerator, denominator etc.). + * e.g in the expression 25^{2/4} the index of the character 4 is represented as: + * (1, superscript) -> (0, denominator) -> (0, none) + * This can be interpreted as start at index 1 (i.e. the 5) go up to the superscript. + * Then look at index 0 (i.e. 2/4) and go to the denominator. Then look up index 0 (i.e. the 4) which this final + * index. + * + * The level of an index is the number of nodes in the LinkedList to get to the final path. + */ +public class MTMathListIndex { + + /** + The type of the subindex. + + The type of the subindex denotes what branch the path to the atom that this index points to takes. + */ + public enum MTMathListSubIndexType: Int { + /// The index denotes the whole atom, subIndex is nil. + case none = 0 + /// The position in the subindex is an index into the nucleus + case nucleus + /// The subindex indexes into the superscript. + case superscript + /// The subindex indexes into the subscript + case ssubscript + /// The subindex indexes into the numerator (only valid for fractions) + case numerator + /// The subindex indexes into the denominator (only valid for fractions) + case denominator + /// The subindex indexes into the radicand (only valid for radicals) + case radicand + /// The subindex indexes into the degree (only valid for radicals) + case degree + } + + /// The index of the associated atom. + var atomIndex: Int + + /// The type of subindex, e.g. superscript, numerator etc. + var subIndexType: MTMathListSubIndexType = .none + + /// The index into the sublist. + var subIndex: MTMathListIndex? + + var finalIndex: Int { + if self.subIndexType == .none { + return self.atomIndex + } else { + return self.subIndex?.finalIndex ?? 0 + } + } + + /// Returns the previous index if present. Returns `nil` if there is no previous index. + func prevIndex() -> MTMathListIndex? { + if self.subIndexType == .none { + if self.atomIndex > 0 { + return MTMathListIndex(level0Index: self.atomIndex - 1) + } + } else { + if let prevSubIndex = self.subIndex?.prevIndex() { + return MTMathListIndex(at: self.atomIndex, with: prevSubIndex, type: self.subIndexType) + } + } + return nil + } + + /// Returns the next index. + func nextIndex() -> MTMathListIndex { + if self.subIndexType == .none { + return MTMathListIndex(level0Index: self.atomIndex + 1) + } else if self.subIndexType == .nucleus { + return MTMathListIndex(at: self.atomIndex + 1, with: self.subIndex, type: self.subIndexType) + } else { + return MTMathListIndex(at: self.atomIndex, with: self.subIndex?.nextIndex(), type: self.subIndexType) + } + } + + /** + * Returns true if this index represents the beginning of a line. Note there may be multiple lines in a MTMathList, + * e.g. a superscript or a fraction numerator. This returns true if the innermost subindex points to the beginning of a + * line. + */ + func isBeginningOfLine() -> Bool { self.finalIndex == 0 } + + func isAtSameLevel(with index: MTMathListIndex?) -> Bool { + if self.subIndexType != index?.subIndexType { + return false + } else if self.subIndexType == .none { + // No subindexes, they are at the same level. + return true + } else if (self.atomIndex != index?.atomIndex) { + return false + } else { + return self.subIndex?.isAtSameLevel(with: index?.subIndex) ?? false + } + } + + /** Returns the type of the innermost sub index. */ + func finalSubIndexType() -> MTMathListSubIndexType { + if self.subIndex?.subIndex != nil { + return self.subIndex!.finalSubIndexType() + } else { + return self.subIndexType + } + } + + /** Returns true if any of the subIndexes of this index have the given type. */ + func hasSubIndex(ofType type: MTMathListSubIndexType) -> Bool { + if self.subIndexType == type { + return true + } else { + return self.subIndex?.hasSubIndex(ofType: type) ?? false + } + } + + func levelUp(with subIndex: MTMathListIndex?, type: MTMathListSubIndexType) -> MTMathListIndex { + if self.subIndexType == .none { + return MTMathListIndex(at: self.atomIndex, with: subIndex, type: type) + } + + return MTMathListIndex(at: self.atomIndex, with: self.subIndex?.levelUp(with: subIndex, type: type), type: self.subIndexType) + } + + func levelDown() -> MTMathListIndex? { + if self.subIndexType == .none { + return nil + } + + if let subIndexDown = self.subIndex?.levelDown() { + return MTMathListIndex(at: self.atomIndex, with: subIndexDown, type: self.subIndexType) + } else { + return MTMathListIndex(level0Index: self.atomIndex) + } + } + + /** Factory function to create a `MTMathListIndex` with no subindexes. + @param index The index of the atom that the `MTMathListIndex` points at. + */ + public init(level0Index: Int) { + self.atomIndex = level0Index + } + + public convenience init(at location: Int, with subIndex: MTMathListIndex?, type: MTMathListSubIndexType) { + self.init(level0Index: location) + self.subIndexType = type + self.subIndex = subIndex + } +} + +extension MTMathListIndex: CustomStringConvertible { + public var description: String { + if self.subIndex != nil { + return "[\(self.atomIndex), \(self.subIndexType.rawValue):\(self.subIndex!)]" + } + return "[\(self.atomIndex)]" + } +} + +extension MTMathListIndex: Hashable { + + public func hash(into hasher: inout Hasher) { + hasher.combine(self.atomIndex) + hasher.combine(self.subIndexType) + hasher.combine(self.subIndex) + } + +} + +extension MTMathListIndex: Equatable { + public static func ==(lhs: MTMathListIndex, rhs: MTMathListIndex) -> Bool { + if lhs.atomIndex != rhs.atomIndex || lhs.subIndexType != rhs.subIndexType { + return false + } + + if rhs.subIndex != nil { + return rhs.subIndex == lhs.subIndex + } else { + return lhs.subIndex == nil + } + } +} diff --git a/third-party/SwiftMath/Sources/MathRender/MTMathRenderer.swift b/third-party/SwiftMath/Sources/MathRender/MTMathRenderer.swift new file mode 100644 index 0000000000..8243148734 --- /dev/null +++ b/third-party/SwiftMath/Sources/MathRender/MTMathRenderer.swift @@ -0,0 +1,83 @@ +import Foundation + +#if os(iOS) || os(visionOS) +import UIKit +#endif + +#if os(macOS) +import AppKit +#endif + +public struct MTMathRenderedFormula { + public let image: MTImage + public let size: CGSize + public let width: CGFloat + public let ascent: CGFloat + public let descent: CGFloat + + public init(image: MTImage, size: CGSize, width: CGFloat, ascent: CGFloat, descent: CGFloat) { + self.image = image + self.size = size + self.width = width + self.ascent = ascent + self.descent = descent + } +} + +public enum MTMathRenderer { + public static func render(latex: String, fontSize: CGFloat, textColor: MTColor, mode: MTMathUILabelMode = .display) -> MTMathRenderedFormula? { + guard let font = MTFontManager.fontManager.defaultFont?.copy(withSize: fontSize) else { + return nil + } + + var error: NSError? + guard let mathList = MTMathListBuilder.build(fromString: latex, error: &error), error == nil else { + return nil + } + + let style: MTLineStyle + switch mode { + case .display: + style = .display + case .text: + style = .text + } + + guard let displayList = MTTypesetter.createLineForMathList(mathList, font: font, style: style) else { + return nil + } + + displayList.textColor = textColor + + let width = max(1.0, ceil(displayList.width)) + let height = max(1.0, ceil(displayList.ascent + displayList.descent)) + let size = CGSize(width: width, height: height) + displayList.position = CGPoint(x: 0.0, y: displayList.descent) + + #if os(iOS) || os(visionOS) + let renderer = UIGraphicsImageRenderer(size: size) + let image = renderer.image { rendererContext in + rendererContext.cgContext.saveGState() + var transform = CGAffineTransform(scaleX: 1.0, y: -1.0) + transform = transform.translatedBy(x: 0.0, y: -size.height) + rendererContext.cgContext.concatenate(transform) + displayList.draw(rendererContext.cgContext) + rendererContext.cgContext.restoreGState() + } + return MTMathRenderedFormula(image: image, size: size, width: displayList.width, ascent: displayList.ascent, descent: displayList.descent) + #endif + + #if os(macOS) + let image = NSImage(size: size, flipped: false) { _ in + guard let context = NSGraphicsContext.current?.cgContext else { + return false + } + context.saveGState() + displayList.draw(context) + context.restoreGState() + return true + } + return MTMathRenderedFormula(image: image, size: size, width: displayList.width, ascent: displayList.ascent, descent: displayList.descent) + #endif + } +} diff --git a/third-party/SwiftMath/Sources/MathRender/MTMathUILabel.swift b/third-party/SwiftMath/Sources/MathRender/MTMathUILabel.swift new file mode 100644 index 0000000000..b19aabba33 --- /dev/null +++ b/third-party/SwiftMath/Sources/MathRender/MTMathUILabel.swift @@ -0,0 +1,587 @@ +// +// Created by Mike Griebling on 2022-12-31. +// Translated from an Objective-C implementation by Kostub Deshmukh. +// +// This software may be modified and distributed under the terms of the +// MIT license. See the LICENSE file for details. +// + +import Foundation +import CoreText + +/** + Different display styles supported by the `MTMathUILabel`. + + The only significant difference between the two modes is how fractions + and limits on large operators are displayed. + */ +public enum MTMathUILabelMode { + /// Display mode. Equivalent to $$ in TeX + case display + /// Text mode. Equivalent to $ in TeX. + case text +} + +/** + Horizontal text alignment for `MTMathUILabel`. + */ +public enum MTTextAlignment : UInt { + /// Align left. + case left + /// Align center. + case center + /// Align right. + case right +} + +/** The main view for rendering math. + + `MTMathLabel` accepts either a string in LaTeX or an `MTMathList` to display. Use + `MTMathList` directly only if you are building it programmatically (e.g. using an + editor), otherwise using LaTeX is the preferable method. + + The math display is centered vertically in the label. The default horizontal alignment is + is left. This can be changed by setting `textAlignment`. The math is default displayed in + *Display* mode. This can be changed using `labelMode`. + + When created it uses `[MTFontManager defaultFont]` as its font. This can be changed using + the `font` parameter. + */ +@IBDesignable +public class MTMathUILabel : MTView { + + /** The `MTMathList` to render. Setting this will remove any + `latex` that has already been set. If `latex` has been set, this will + return the parsed `MTMathList` if the `latex` parses successfully. Use this + setting if the `MTMathList` has been programmatically constructed, otherwise it + is preferred to use `latex`. + */ + public var mathList:MTMathList? { + set { + _mathList = newValue + _error = nil + _latex = MTMathListBuilder.mathListToString(newValue) + self.invalidateIntrinsicContentSize() + self.setNeedsLayout() + } + get { _mathList } + } + private var _mathList:MTMathList? + + /** The latex string to be displayed. Setting this will remove any `mathList` that + has been set. If latex has not been set, this will return the latex output for the + `mathList` that is set. + @see error */ + @IBInspectable + public var latex:String { + set { + _latex = newValue + _error = nil + var error : NSError? = nil + _mathList = MTMathListBuilder.build(fromString: newValue, error: &error) + if error != nil { + _mathList = nil + _error = error + self.errorLabel?.text = error!.localizedDescription + self.errorLabel?.frame = self.bounds + self.errorLabel?.isHidden = !self.displayErrorInline + } else { + self.errorLabel?.isHidden = true + } + self.invalidateIntrinsicContentSize() + self.setNeedsLayout() + } + get { _latex } + } + private var _latex = "" + + /** This contains any error that occurred when parsing the latex. */ + public var error:NSError? { _error } + private var _error:NSError? + + /** If true, if there is an error it displays the error message inline. Default true. */ + public var displayErrorInline = true + + /** If true, enables detailed debug logging for intrinsicContentSize calculations. + This helps diagnose rendering issues like missing row breaks in aligned environments. + Default false. */ + public var debugLogging = false + + /** The MTFont to use for rendering. */ + public var font:MTFont? { + set { + guard newValue != nil else { return } + _font = newValue + self.invalidateIntrinsicContentSize() + self.setNeedsLayout() + } + get { _font } + } + private var _font:MTFont? + + /** Convenience method to just set the size of the font without changing the fontface. */ + @IBInspectable + public var fontSize:CGFloat { + set { + _fontSize = newValue + let font = font?.copy(withSize: newValue) + self.font = font // also forces an update + } + get { _fontSize } + } + private var _fontSize:CGFloat=0 + + /** This sets the text color of the rendered math formula. The default color is black. */ + @IBInspectable + public var textColor:MTColor? { + set { + guard newValue != nil else { return } + _textColor = newValue + self.displayList?.textColor = newValue + self.setNeedsDisplay() + } + get { _textColor } + } + private var _textColor:MTColor? + + /** The minimum distance from the margin of the view to the rendered math. This value is + `UIEdgeInsetsZero` by default. This is useful if you need some padding between the math and + the border/background color. sizeThatFits: will have its returned size increased by these insets. + */ + @IBInspectable + public var contentInsets:MTEdgeInsets { + set { + _contentInsets = newValue + self.invalidateIntrinsicContentSize() + self.setNeedsLayout() + } + get { _contentInsets } + } + private var _contentInsets = MTEdgeInsetsZero + + /** The Label mode for the label. The default mode is Display */ + public var labelMode:MTMathUILabelMode { + set { + _labelMode = newValue + self.invalidateIntrinsicContentSize() + self.setNeedsLayout() + } + get { _labelMode } + } + private var _labelMode = MTMathUILabelMode.display + + /** Horizontal alignment for the text. The default is align left. */ + public var textAlignment:MTTextAlignment { + set { + _textAlignment = newValue + self.invalidateIntrinsicContentSize() + self.setNeedsLayout() + } + get { _textAlignment } + } + private var _textAlignment = MTTextAlignment.left + + /** The internal display of the MTMathUILabel. This is for advanced use only. */ + public var displayList: MTMathListDisplay? { _displayList } + private var _displayList:MTMathListDisplay? + + /** The preferred maximum width (in points) for a multiline label. + Set this property to enable line wrapping based on available width. */ + public var preferredMaxLayoutWidth: CGFloat { + set { + _preferredMaxLayoutWidth = newValue + _displayList = nil // Clear cached display list when width constraint changes + self.invalidateIntrinsicContentSize() + self.setNeedsLayout() + } + get { _preferredMaxLayoutWidth } + } + private var _preferredMaxLayoutWidth: CGFloat = 0 + + public var currentStyle:MTLineStyle { + switch _labelMode { + case .display: return .display + case .text: return .text + } + } + + public var errorLabel: MTLabel? + + public override init(frame: CGRect) { + super.init(frame: frame) + self.initCommon() + } + + public required init?(coder: NSCoder) { + super.init(coder: coder) + self.initCommon() + } + + func initCommon() { +#if os(macOS) + self.layer?.isGeometryFlipped = true +#else + self.layer.isGeometryFlipped = true + self.clipsToBounds = true +#endif + _fontSize = 20 + _contentInsets = MTEdgeInsetsZero + _labelMode = .display + let font = MTFontManager.fontManager.defaultFont + self.font = font + _textAlignment = .left + _displayList = nil + displayErrorInline = true + self.backgroundColor = MTColor.clear + + _textColor = MTColor.black + let label = MTLabel() + self.errorLabel = label +#if os(macOS) + label.layer?.isGeometryFlipped = true +#else + label.layer.isGeometryFlipped = true +#endif + label.isHidden = true + label.textColor = MTColor.red + self.addSubview(label) + } + + override public func draw(_ dirtyRect: MTRect) { + super.draw(dirtyRect) + if self.mathList == nil { return } + if self.font == nil { return } + + // Ensure display list is created before drawing + if _displayList == nil { + _layoutSubviews() + } + + guard let displayList = _displayList else { return } + + // drawing code + let context = MTGraphicsGetCurrentContext()! + context.saveGState() + + // CRITICAL FIX for clipping: If the displayList is wider than our bounds, + // expand the clipping rect to prevent content clipping. + // This handles cases where preferredMaxLayoutWidth is a hint but the content + // cannot fit within it even with line breaking. + let contentWidth = displayList.width + contentInsets.left + contentInsets.right + if contentWidth > bounds.size.width { + // Content is wider than bounds - expand clip rect + let expandedRect = CGRect( + x: bounds.origin.x, + y: bounds.origin.y, + width: contentWidth, + height: bounds.size.height + ) + context.clip(to: expandedRect) + } + + displayList.draw(context) + context.restoreGState() + } + + func _layoutSubviews() { + guard _mathList != nil && self.font != nil else { + _displayList = nil + errorLabel?.frame = self.bounds + self.setNeedsDisplay() + return + } + // Ensure we have a valid font before attempting to typeset + if self.font == nil { + // No valid font - try to get default font + if let defaultFont = MTFontManager.fontManager.defaultFont { + self._font = defaultFont + } else { + // Cannot typeset without a font, clear display list + _displayList = nil + errorLabel?.frame = self.bounds + self.setNeedsDisplay() + return + } + } + + // Use the effective width for layout + let effectiveWidth = _preferredMaxLayoutWidth > 0 ? _preferredMaxLayoutWidth : bounds.size.width + var availableWidth = effectiveWidth - contentInsets.left - contentInsets.right + // CRITICAL FIX: Ensure availableWidth is never negative + // Negative maxWidth passed to MTTypesetter can cause "Negative value is not representable" crashes + availableWidth = max(0, availableWidth) + + _displayList = MTTypesetter.createLineForMathList(_mathList, font: self.font, style: currentStyle, maxWidth: availableWidth) + + guard let displayList = _displayList else { + // Empty or invalid input - nothing to display + return + } + + displayList.textColor = textColor + var textX = CGFloat(0) + switch self.textAlignment { + case .left: textX = contentInsets.left + case .center: textX = (bounds.size.width - contentInsets.left - contentInsets.right - displayList.width) / 2 + contentInsets.left + case .right: textX = bounds.size.width - displayList.width - contentInsets.right + } + let availableHeight = bounds.size.height - contentInsets.bottom - contentInsets.top + + // center things vertically + var height = displayList.ascent + displayList.descent + if height < fontSize/2 { + height = fontSize/2 // set height to half the font size + } + let textY = (availableHeight - height) / 2 + displayList.descent + contentInsets.bottom + + displayList.position = CGPointMake(textX, textY) + errorLabel?.frame = self.bounds + self.setNeedsDisplay() + } + + func _sizeThatFits(_ size:CGSize) -> CGSize { + // Check if we have empty latex (empty string case) + if _latex.isEmpty { + // Empty latex - return zero size + return CGSize(width: 0, height: 0) + } + + guard _mathList != nil else { + // No content - return no-intrinsic-size marker + return CGSize(width: -1, height: -1) + } + + // Ensure we have a valid font before attempting to typeset + if self.font == nil { + // No valid font - try to get default font + if let defaultFont = MTFontManager.fontManager.defaultFont { + self._font = defaultFont + } else { + // Cannot typeset without a font + return CGSize(width: -1, height: -1) + } + } + + // Determine the maximum width to use + var maxWidth: CGFloat = 0 + if _preferredMaxLayoutWidth > 0 { + maxWidth = _preferredMaxLayoutWidth - contentInsets.left - contentInsets.right + // CRITICAL FIX: Ensure maxWidth is never negative + // If contentInsets exceed available width, clamp to 0 + maxWidth = max(0, maxWidth) + } else if size.width > 0 { + maxWidth = size.width - contentInsets.left - contentInsets.right + // CRITICAL FIX: Ensure maxWidth is never negative + maxWidth = max(0, maxWidth) + } + + var displayList:MTMathListDisplay? = nil + displayList = MTTypesetter.createLineForMathList(_mathList, font: self.font, style: currentStyle, maxWidth: maxWidth) + + guard displayList != nil else { + // Failed to create display list + return CGSize(width: -1, height: -1) + } + + var resultWidth = displayList!.width + contentInsets.left + contentInsets.right + var resultHeight = displayList!.ascent + displayList!.descent + contentInsets.top + contentInsets.bottom + + // DEBUG LOGGING for width calculation + if debugLogging { + print("\n=== MTMathUILabel intrinsicContentSize DEBUG ===") + print("LaTeX: \(self.latex)") + // Show raw bytes to help debug escaping issues + let latexBytes = Array(self.latex.utf8.prefix(100)) + print("LaTeX bytes (first 100): \(latexBytes)") + print("preferredMaxLayoutWidth: \(_preferredMaxLayoutWidth)") + print("size constraint: \(size)") + print("maxWidth passed to typesetter: \(maxWidth)") + print("displayList.width: \(displayList!.width)") + print("displayList.ascent: \(displayList!.ascent)") + print("displayList.descent: \(displayList!.descent)") + print("Number of subDisplays: \(displayList!.subDisplays.count)") + // Count lines by unique Y positions + let yPositions = Set(displayList!.subDisplays.map { $0.position.y }) + print("Number of lines (unique Y positions): \(yPositions.count)") + print("contentInsets: \(contentInsets)") + print("resultWidth (before clamping): \(resultWidth)") + print("resultHeight (before clamping): \(resultHeight)") + + // HELPFUL WARNING: Detect common escaping mistake + // Check for environments that typically have multiple rows but only 1 row is rendered + let multiRowEnvs = ["aligned", "align", "eqnarray", "gather", "split"] + let latexLower = self.latex.lowercased() + for env in multiRowEnvs { + if latexLower.contains("\\begin{\(env)}") { + // Check if there's a table with only 1 row + if let ml = _mathList { + for atom in ml.atoms { + if let table = atom as? MTMathTable, table.numRows == 1 { + // Check if latex contains single backslash (spacing) where double might be intended + // Pattern: \\ followed by non-backslash (like space or letter) + if self.latex.contains("\\ ") || self.latex.range(of: #"\\[a-zA-Z]"#, options: .regularExpression) != nil { + print("⚠️ WARNING: '\(env)' environment has only 1 row.") + print(" If you intended multiple rows, use '\\\\\\\\' (4 backslashes in Swift strings)") + print(" or use raw strings: #\"...42\\\\ \\\\dfrac...\"#") + print(" Current input has '\\\\ ' which is a SPACING command, not a row break.") + } + } + } + } + } + } + } + + // CRITICAL FIX: Ensure dimensions are never negative + // Negative values cause crashes in NSRange calculations and SwiftUI layout + resultWidth = max(0, resultWidth) + resultHeight = max(0, resultHeight) + + // CRITICAL FIX for accented character clipping: + // The preferredMaxLayoutWidth is a HINT for line breaking, NOT a hard constraint. + // If the typesetter cannot fit content within that width (even with line breaking), + // we MUST return the actual content width to prevent clipping. + // + // ONLY clamp in extreme cases to prevent layout explosion (>50% over or >100pt over) + if _preferredMaxLayoutWidth > 0 && resultWidth > _preferredMaxLayoutWidth { + let overflow = resultWidth - _preferredMaxLayoutWidth + let overflowPercent = (overflow / _preferredMaxLayoutWidth) * 100 + + if debugLogging { + print(" Content exceeds preferredMaxLayoutWidth:") + print(" preferredMaxLayoutWidth: \(_preferredMaxLayoutWidth)") + print(" resultWidth: \(resultWidth)") + print(" overflow: \(overflow) (\(String(format: "%.1f", overflowPercent))%)") + + // Check line breaking + let yPositions = Set(displayList!.subDisplays.map { $0.position.y }) + print(" hasMultipleLines: \(yPositions.count > 1) (yPositions: \(yPositions.count))") + + // Check if any content would be clipped at different widths + print(" SubDisplay analysis:") + for (i, sub) in displayList!.subDisplays.enumerated() { + let rightEdge = sub.position.x + sub.width + let clippedAtPreferred = rightEdge > _preferredMaxLayoutWidth + let clippedAtResult = rightEdge > resultWidth + print(" Sub[\(i)]: rightEdge=\(rightEdge) clippedAt\(_preferredMaxLayoutWidth)=\(clippedAtPreferred) clippedAt\(resultWidth)=\(clippedAtResult)") + } + } + + // ONLY clamp for truly excessive overflow (>50% or >100pt) + // This prevents layout explosion while allowing normal overflow + let extremeOverflowThreshold: CGFloat = max(_preferredMaxLayoutWidth * 0.5, 100.0) + + if overflow > extremeOverflowThreshold { + // Extreme overflow - clamp to prevent layout issues + let clampedWidth = _preferredMaxLayoutWidth + extremeOverflowThreshold + if debugLogging { + print(" ⚠️ EXTREME OVERFLOW - clamping from \(resultWidth) to \(clampedWidth)") + print(" ⚠️ WARNING: This will cause content clipping!") + } + resultWidth = clampedWidth + } else { + // Normal overflow - keep actual content width to prevent clipping + if debugLogging { + print(" ✓ Normal overflow - keeping actual width \(resultWidth) to prevent clipping") + } + // resultWidth stays as is - NO CLAMPING + } + } else if _preferredMaxLayoutWidth == 0 && size.width > 0 && resultWidth > size.width { + // Similar tolerance for size.width constraint + let tolerance = max(size.width * 0.05, 10.0) + let maxAllowedWidth = size.width + tolerance + + if debugLogging { + print(" Exceeds size.width constraint:") + print(" tolerance: \(tolerance)") + print(" maxAllowedWidth: \(maxAllowedWidth)") + print(" overflow amount: \(resultWidth - size.width)") + } + + if resultWidth <= maxAllowedWidth { + // Within tolerance - use actual content width + // resultWidth stays as is + if debugLogging { + print(" ✓ Within tolerance - keeping actual width") + } + } else { + if debugLogging { + print(" ⚠️ CLAMPING to maxAllowedWidth (may clip content!)") + } + resultWidth = maxAllowedWidth + } + } + + if debugLogging { + print(" Final resultWidth: \(resultWidth)") + print(" Final resultHeight: \(resultHeight)") + + // Check if any display elements would be clipped + if let display = displayList { + print(" Display subdisplays: \(display.subDisplays.count)") + let yPositions = Set(display.subDisplays.map { $0.position.y }).sorted() + print(" Unique Y positions (lines): \(yPositions.count) -> \(yPositions)") + + for (i, sub) in display.subDisplays.enumerated() { + let rightEdge = sub.position.x + sub.width + let clipped = rightEdge > resultWidth + + // Extract text content if this is a CTLineDisplay + var textContent = "" + if let ctLineDisplay = sub as? MTCTLineDisplay, + let attrString = ctLineDisplay.attributedString { + textContent = " text=\"\(attrString.string)\"" + } + + print(" Sub[\(i)]: type=\(type(of: sub)), y=\(sub.position.y), x=\(sub.position.x), width=\(sub.width), rightEdge=\(rightEdge)\(textContent)\(clipped ? " ⚠️ CLIPPED" : "")") + + // Show internal structure for MTMathListDisplay + if let mathListDisplay = sub as? MTMathListDisplay, !mathListDisplay.subDisplays.isEmpty { + print(" → Contains \(mathListDisplay.subDisplays.count) sub-displays:") + for (j, innerSub) in mathListDisplay.subDisplays.enumerated() { + var innerTextContent = "" + if let innerCTLineDisplay = innerSub as? MTCTLineDisplay, + let innerAttrString = innerCTLineDisplay.attributedString { + innerTextContent = " text=\"\(innerAttrString.string)\"" + } + print(" [\(j)]: type=\(type(of: innerSub)), y=\(innerSub.position.y), x=\(innerSub.position.x), width=\(innerSub.width)\(innerTextContent)") + } + } + + if clipped { + print(" ⚠️ CLIPPING: rightEdge \(rightEdge) > resultWidth \(resultWidth)") + print(" Clipped amount: \(rightEdge - resultWidth)") + } + } + } + print("=== END DEBUG ===\n") + } + + return CGSize(width: resultWidth, height: resultHeight) + } + + #if os(macOS) + public func sizeThatFits(_ size: CGSize) -> CGSize { + return _sizeThatFits(size) + } + #else + public override func sizeThatFits(_ size: CGSize) -> CGSize { + return _sizeThatFits(size) + } + #endif + +#if os(macOS) + func setNeedsDisplay() { self.needsDisplay = true } + func setNeedsLayout() { self.needsLayout = true } + public override var fittingSize: CGSize { _sizeThatFits(CGSizeZero) } + public override var intrinsicContentSize: CGSize { _sizeThatFits(CGSizeZero) } + override public func layout() { + self._layoutSubviews() + super.layout() + } +#else + public override var intrinsicContentSize: CGSize { _sizeThatFits(CGSizeZero) } + override public func layoutSubviews() { _layoutSubviews() } +#endif + +} diff --git a/third-party/SwiftMath/Sources/MathRender/MTTypesetter+Tokenization.swift b/third-party/SwiftMath/Sources/MathRender/MTTypesetter+Tokenization.swift new file mode 100644 index 0000000000..3911df6499 --- /dev/null +++ b/third-party/SwiftMath/Sources/MathRender/MTTypesetter+Tokenization.swift @@ -0,0 +1,68 @@ +// +// MTTypesetter+Tokenization.swift +// SwiftMath +// +// Created by Claude Code on 2025-12-16. +// This software may be modified and distributed under the terms of the +// MIT license. See the LICENSE file for details. +// + +import Foundation +import CoreGraphics + +extension MTTypesetter { + + /// Create a line for a math list using the new tokenization approach + /// This is an alternative to the existing createLineForMathList that uses + /// pre-tokenization and greedy line fitting + static func createLineForMathListWithTokenization( + _ mathList: MTMathList?, + font: MTFont?, + style: MTLineStyle, + cramped: Bool, + spaced: Bool, + maxWidth: CGFloat + ) -> MTMathListDisplay? { + guard let mathList = mathList else { return nil } + guard let font = font else { return nil } + guard !mathList.atoms.isEmpty else { + // Return empty display instead of nil (matches KaTeX behavior) + return MTMathListDisplay(withDisplays: [], range: NSMakeRange(0, 0)) + } + + // Phase 0: Preprocess atoms to fuse ordinary characters + // This is critical for accents and other structures where multi-character + // text like "xyzw" should stay together as a single atom + let preprocessedAtoms = MTTypesetter.preprocessMathList(mathList) + + // Phase 1: Tokenize atoms into breakable elements + let tokenizer = MTAtomTokenizer(font: font, style: style, cramped: cramped, maxWidth: maxWidth) + let elements = tokenizer.tokenize(preprocessedAtoms) + + guard !elements.isEmpty else { return nil } + + // Phase 2: Fit elements into lines + let margin = spaced ? font.mathTable?.muUnit ?? 0 : 0 + let fitter = MTLineFitter(maxWidth: maxWidth, margin: margin) + let fittedLines = fitter.fitLines(elements) + + // Phase 3: Generate displays from fitted lines + let generator = MTDisplayGenerator(font: font, style: style) + let displays = generator.generateDisplays(from: fittedLines, startPosition: CGPoint.zero) + + // Determine range from atoms + let range: NSRange + if let firstAtom = mathList.atoms.first, let lastAtom = mathList.atoms.last { + let start = firstAtom.indexRange.location + let end = NSMaxRange(lastAtom.indexRange) + range = NSMakeRange(start, end - start) + } else { + range = NSMakeRange(0, 0) + } + + // Create and return the math list display + let mathListDisplay = MTMathListDisplay(withDisplays: displays, range: range) + + return mathListDisplay + } +} diff --git a/third-party/SwiftMath/Sources/MathRender/MTTypesetter.swift b/third-party/SwiftMath/Sources/MathRender/MTTypesetter.swift new file mode 100644 index 0000000000..72d67a2315 --- /dev/null +++ b/third-party/SwiftMath/Sources/MathRender/MTTypesetter.swift @@ -0,0 +1,1927 @@ +// +// Created by Mike Griebling on 2022-12-31. +// Translated from an Objective-C implementation by Kostub Deshmukh. +// +// This software may be modified and distributed under the terms of the +// MIT license. See the LICENSE file for details. +// + +import Foundation +import CoreText + +// MARK: - Inter Element Spacing + +enum InterElementSpaceType : Int { + case invalid = -1 + case none = 0 + case thin + case nsThin // Thin but not in script mode + case nsMedium + case nsThick +} + +var interElementSpaceArray = [[InterElementSpaceType]]() +private let interElementLock = NSLock() + +func getInterElementSpaces() -> [[InterElementSpaceType]] { + if interElementSpaceArray.isEmpty { + + interElementLock.lock() + defer { interElementLock.unlock() } + guard interElementSpaceArray.isEmpty else { return interElementSpaceArray } + + interElementSpaceArray = + // ordinary operator binary relation open close punct fraction + [ [.none, .thin, .nsMedium, .nsThick, .none, .none, .none, .nsThin], // ordinary + [.thin, .thin, .invalid, .nsThick, .none, .none, .none, .nsThin], // operator + [.nsMedium, .nsMedium, .invalid, .invalid, .nsMedium, .invalid, .invalid, .nsMedium], // binary + [.nsThick, .nsThick, .invalid, .none, .nsThick, .none, .none, .nsThick], // relation + [.none, .none, .invalid, .none, .none, .none, .none, .none], // open + [.none, .thin, .nsMedium, .nsThick, .none, .none, .none, .nsThin], // close + [.nsThin, .nsThin, .invalid, .nsThin, .nsThin, .nsThin, .nsThin, .nsThin], // punct + [.nsThin, .thin, .nsMedium, .nsThick, .nsThin, .none, .nsThin, .nsThin], // fraction + [.nsMedium, .nsThin, .nsMedium, .nsThick, .none, .none, .none, .nsThin]] // radical + } + return interElementSpaceArray +} + + +// Get's the index for the given type. If row is true, the index is for the row (i.e. left element) otherwise it is for the column (right element) +func getInterElementSpaceArrayIndexForType(_ type:MTMathAtomType, row:Bool) -> Int { + switch type { + case .color, .textcolor, .colorBox, .ordinary, .placeholder: // A placeholder is treated as ordinary + return 0 + case .largeOperator: + return 1 + case .binaryOperator: + return 2; + case .relation: + return 3; + case .open: + return 4; + case .close: + return 5; + case .punctuation: + return 6; + case .fraction, // Fraction and inner are treated the same. + .inner: + return 7; + case .radical: + if row { + // Radicals have inter element spaces only when on the left side. + // Note: This is a departure from latex but we don't want \sqrt{4}4 to look weird so we put a space in between. + // They have the same spacing as ordinary except with ordinary. + return 8; + } else { + // Treat radical as ordinary on the right side + return 0 + } + // Numbers, variables, and unary operators are treated as ordinary + case .number, .variable, .unaryOperator: + return 0 + // Decorative types (accent, underline, overline) are treated as ordinary + case .accent, .underline, .overline: + return 0 + // Special types that don't typically participate in spacing are treated as ordinary + case .boundary, .space, .style, .table: + return 0 + } +} + +// MARK: - Italics +// mathit +func getItalicized(_ ch:Character) -> UTF32Char { + var unicode = ch.utf32Char + + // Special cases for italics + if ch == "h" { return UnicodeSymbol.planksConstant } + // Dotless i (U+0131) → Mathematical Italic Small Dotless I (U+1D6A4) + if ch == "\u{0131}" { return 0x1D6A4 } + // Dotless j (U+0237) → Mathematical Italic Small Dotless J (U+1D6A5) + if ch == "\u{0237}" { return 0x1D6A5 } + + if ch.isUpperEnglish { + unicode = UnicodeSymbol.capitalItalicStart + (ch.utf32Char - Character("A").utf32Char) + } else if ch.isLowerEnglish { + unicode = UnicodeSymbol.lowerItalicStart + (ch.utf32Char - Character("a").utf32Char) + } else if ch.isCapitalGreek { + // Capital Greek characters + unicode = UnicodeSymbol.greekCapitalItalicStart + (ch.utf32Char - UnicodeSymbol.capitalGreekStart) + } else if ch.isLowerGreek { + // Greek characters + unicode = UnicodeSymbol.greekLowerItalicStart + (ch.utf32Char - UnicodeSymbol.lowerGreekStart) + } else if ch.isGreekSymbol { + return UnicodeSymbol.greekSymbolItalicStart + ch.greekSymbolOrder! + } + // Note there are no italicized numbers in unicode so we don't support italicizing numbers. + return unicode +} + +// mathbf +func getBold(_ ch:Character) -> UTF32Char { + var unicode = ch.utf32Char + if ch.isUpperEnglish { + unicode = UnicodeSymbol.mathCapitalBoldStart + (ch.utf32Char - Character("A").utf32Char) + } else if ch.isLowerEnglish { + unicode = UnicodeSymbol.mathLowerBoldStart + (ch.utf32Char - Character("a").utf32Char) + } else if ch.isCapitalGreek { + // Capital Greek characters + unicode = UnicodeSymbol.greekCapitalBoldStart + (ch.utf32Char - UnicodeSymbol.capitalGreekStart); + } else if ch.isLowerGreek { + // Greek characters + unicode = UnicodeSymbol.greekLowerBoldStart + (ch.utf32Char - UnicodeSymbol.lowerGreekStart); + } else if ch.isGreekSymbol { + return UnicodeSymbol.greekSymbolBoldStart + ch.greekSymbolOrder! + } else if ch.isNumber { + unicode = UnicodeSymbol.numberBoldStart + (ch.utf32Char - Character("0").utf32Char) + } + return unicode +} + +// mathbfit +func getBoldItalic(_ ch:Character) -> UTF32Char { + var unicode = ch.utf32Char + if ch.isUpperEnglish { + unicode = UnicodeSymbol.mathCapitalBoldItalicStart + (ch.utf32Char - Character("A").utf32Char) + } else if ch.isLowerEnglish { + unicode = UnicodeSymbol.mathLowerBoldItalicStart + (ch.utf32Char - Character("a").utf32Char) + } else if ch.isCapitalGreek { + // Capital Greek characters + unicode = UnicodeSymbol.greekCapitalBoldItalicStart + (ch.utf32Char - UnicodeSymbol.capitalGreekStart); + } else if ch.isLowerGreek { + // Greek characters + unicode = UnicodeSymbol.greekLowerBoldItalicStart + (ch.utf32Char - UnicodeSymbol.lowerGreekStart); + } else if ch.isGreekSymbol { + return UnicodeSymbol.greekSymbolBoldItalicStart + ch.greekSymbolOrder! + } else if ch.isNumber { + // No bold italic for numbers so we just bold them. + unicode = getBold(ch); + } + return unicode; +} + +// LaTeX default +func getDefaultStyle(_ ch:Character) -> UTF32Char { + if ch.isLowerEnglish || ch.isUpperEnglish || ch.isLowerGreek || ch.isGreekSymbol { + return getItalicized(ch); + } else if ch == "\u{0131}" || ch == "\u{0237}" { + // Dotless i (U+0131) and dotless j (U+0237) should be italicized in default style + return getItalicized(ch); + } else if ch.isNumber || ch.isCapitalGreek { + // In the default style numbers and capital greek is roman + return ch.utf32Char + } else if ch == "." { + // . is treated as a number in our code, but it doesn't change fonts. + return ch.utf32Char + } else { + NSException(name: NSExceptionName("IllegalCharacter"), reason: "Unknown character \(ch) for default style.").raise() + } + return ch.utf32Char +} + +// mathcal/mathscr (caligraphic or script) +func getCaligraphic(_ ch:Character) -> UTF32Char { + // Caligraphic has lots of exceptions: + switch ch { + case "B": + return 0x212C; // Script B (bernoulli) + case "E": + return 0x2130; // Script E (emf) + case "F": + return 0x2131; // Script F (fourier) + case "H": + return 0x210B; // Script H (hamiltonian) + case "I": + return 0x2110; // Script I + case "L": + return 0x2112; // Script L (laplace) + case "M": + return 0x2133; // Script M (M-matrix) + case "R": + return 0x211B; // Script R (Riemann integral) + case "e": + return 0x212F; // Script e (Natural exponent) + case "g": + return 0x210A; // Script g (real number) + case "o": + return 0x2134; // Script o (order) + default: + break; + } + var unicode:UTF32Char + if ch.isUpperEnglish { + unicode = UnicodeSymbol.mathCapitalScriptStart + (ch.utf32Char - Character("A").utf32Char) + } else if ch.isLowerEnglish { + // Latin Modern Math does not have lower case caligraphic characters, so we use + // the default style instead of showing a ? + unicode = getDefaultStyle(ch) + } else { + // Caligraphic characters don't exist for greek or numbers, we give them the + // default treatment. + unicode = getDefaultStyle(ch) + } + return unicode; +} + +// mathtt (monospace) +func getTypewriter(_ ch:Character) -> UTF32Char { + if ch.isUpperEnglish { + return UnicodeSymbol.mathCapitalTTStart + (ch.utf32Char - Character("A").utf32Char) + } else if ch.isLowerEnglish { + return UnicodeSymbol.mathLowerTTStart + (ch.utf32Char - Character("a").utf32Char) + } else if ch.isNumber { + return UnicodeSymbol.numberTTStart + (ch.utf32Char - Character("0").utf32Char) + } + // Monospace characters don't exist for greek, we give them the + // default treatment. + return getDefaultStyle(ch); +} + +// mathsf +func getSansSerif(_ ch:Character) -> UTF32Char { + if ch.isUpperEnglish { + return UnicodeSymbol.mathCapitalSansSerifStart + (ch.utf32Char - Character("A").utf32Char) + } else if ch.isLowerEnglish { + return UnicodeSymbol.mathLowerSansSerifStart + (ch.utf32Char - Character("a").utf32Char) + } else if ch.isNumber { + return UnicodeSymbol.numberSansSerifStart + (ch.utf32Char - Character("0").utf32Char) + } + // Sans-serif characters don't exist for greek, we give them the + // default treatment. + return getDefaultStyle(ch); +} + +// mathfrak +func getFraktur(_ ch:Character) -> UTF32Char { + // Fraktur has exceptions: + switch ch { + case "C": + return 0x212D; // C Fraktur + case "H": + return 0x210C; // Hilbert space + case "I": + return 0x2111; // Imaginary + case "R": + return 0x211C; // Real + case "Z": + return 0x2128; // Z Fraktur + default: + break; + } + if ch.isUpperEnglish { + return UnicodeSymbol.mathCapitalFrakturStart + (ch.utf32Char - Character("A").utf32Char) + } else if ch.isLowerEnglish { + return UnicodeSymbol.mathLowerFrakturStart + (ch.utf32Char - Character("a").utf32Char) + } + // Fraktur characters don't exist for greek & numbers, we give them the + // default treatment. + return getDefaultStyle(ch); +} + +// mathbb (double struck) +func getBlackboard(_ ch:Character) -> UTF32Char { + // Blackboard has lots of exceptions: + switch(ch) { + case "C": + return 0x2102; // Complex numbers + case "H": + return 0x210D; // Quarternions + case "N": + return 0x2115; // Natural numbers + case "P": + return 0x2119; // Primes + case "Q": + return 0x211A; // Rationals + case "R": + return 0x211D; // Reals + case "Z": + return 0x2124; // Integers + default: + break; + } + if ch.isUpperEnglish { + return UnicodeSymbol.mathCapitalBlackboardStart + (ch.utf32Char - Character("A").utf32Char) + } else if ch.isLowerEnglish { + return UnicodeSymbol.mathLowerBlackboardStart + (ch.utf32Char - Character("a").utf32Char) + } else if ch.isNumber { + return UnicodeSymbol.numberBlackboardStart + (ch.utf32Char - Character("0").utf32Char) + } + // Blackboard characters don't exist for greek, we give them the + // default treatment. + return getDefaultStyle(ch); +} + +func styleCharacter(_ ch:Character, fontStyle:MTFontStyle) -> UTF32Char { + switch fontStyle { + case .defaultStyle: + return getDefaultStyle(ch); + case .roman: + return ch.utf32Char + case .bold: + return getBold(ch); + case .italic: + return getItalicized(ch); + case .boldItalic: + return getBoldItalic(ch); + case .caligraphic: + return getCaligraphic(ch); + case .typewriter: + return getTypewriter(ch); + case .sansSerif: + return getSansSerif(ch); + case .fraktur: + return getFraktur(ch); + case .blackboard: + return getBlackboard(ch); + } +} + +func changeFont(_ str:String, fontStyle:MTFontStyle) -> String { + var retval = "" + let codes = Array(str) + for i in 0.. MTMathListDisplay? { + let finalizedList = mathList?.finalized + // default is not cramped, no width constraint + return self.createLineForMathList(finalizedList, font:font, style:style, cramped:false, maxWidth: 0) + } + + static func createLineForMathList(_ mathList:MTMathList?, font:MTFont?, style:MTLineStyle, maxWidth:CGFloat) -> MTMathListDisplay? { + let finalizedList = mathList?.finalized + // default is not cramped + return self.createLineForMathList(finalizedList, font:font, style:style, cramped:false, maxWidth: maxWidth) + } + + // Internal + static func createLineForMathList(_ mathList:MTMathList?, font:MTFont?, style:MTLineStyle, cramped:Bool) -> MTMathListDisplay? { + return self.createLineForMathList(mathList, font:font, style:style, cramped:cramped, spaced:false, maxWidth: 0) + } + + // Internal + static func createLineForMathList(_ mathList:MTMathList?, font:MTFont?, style:MTLineStyle, cramped:Bool, maxWidth:CGFloat) -> MTMathListDisplay? { + return self.createLineForMathList(mathList, font:font, style:style, cramped:cramped, spaced:false, maxWidth: maxWidth) + } + + // Internal + static func createLineForMathList(_ mathList:MTMathList?, font:MTFont?, style:MTLineStyle, cramped:Bool, spaced:Bool) -> MTMathListDisplay? { + return self.createLineForMathList(mathList, font:font, style:style, cramped:cramped, spaced:spaced, maxWidth: 0) + } + + // Internal + static func createLineForMathList(_ mathList:MTMathList?, font:MTFont?, style:MTLineStyle, cramped:Bool, spaced:Bool, maxWidth:CGFloat) -> MTMathListDisplay? { + assert(font != nil) + + // Always use tokenization approach + // The tokenization path handles both constrained (maxWidth > 0) and unconstrained (maxWidth = 0) rendering + return createLineForMathListWithTokenization( + mathList, + font: font, + style: style, + cramped: cramped, + spaced: spaced, + maxWidth: maxWidth + ) + } + + static var placeholderColor: MTColor { MTColor.blue } + + init(withFont font:MTFont?, style:MTLineStyle, cramped:Bool, spaced:Bool, maxWidth:CGFloat = 0) { + self.font = font + self.displayAtoms = [MTDisplay]() + self.currentPosition = CGPoint.zero + self.cramped = cramped + self.spaced = spaced + self.maxWidth = maxWidth + self.style = style + } + + static func preprocessMathList(_ ml:MTMathList?) -> [MTMathAtom] { + // Note: Some of the preprocessing described by the TeX algorithm is done in the finalize method of MTMathList. + // Specifically rules 5 & 6 in Appendix G are handled by finalize. + // This function does not do a complete preprocessing as specified by TeX either. It removes any special atom types + // that are not included in TeX and applies Rule 14 to merge ordinary characters. + var preprocessed = [MTMathAtom]() // arrayWithCapacity:ml.atoms.count) + var prevNode:MTMathAtom! = nil + preprocessed.reserveCapacity(ml!.atoms.count) + for atom in ml!.atoms { + if atom.type == .variable || atom.type == .number { + // This is not a TeX type node. TeX does this during parsing the input. + // switch to using the italic math font + // We convert it to ordinary + let newFont = changeFont(atom.nucleus, fontStyle: atom.fontStyle) // mathItalicize(atom.nucleus) + atom.type = .ordinary + atom.nucleus = newFont + } else if atom.type == .unaryOperator { + // Neither of these are TeX nodes. TeX treats these as Ordinary. So will we. + atom.type = .ordinary + } else if atom.type == .binaryOperator { + // CRITICAL FIX: Convert binary operators to ordinary (unary) in appropriate contexts + // According to TeX rules (TeXbook Appendix G, Rule 5), a binary operator is converted + // to ordinary when it appears after: Bin, Op, Rel, Open, Punct, or at the beginning + // This handles cases like "=-2" where minus should be unary, not binary + let shouldConvertToOrdinary: Bool + if prevNode == nil { + // At the beginning of the list + shouldConvertToOrdinary = true + } else { + switch prevNode.type { + case .binaryOperator, .relation, .open, .punctuation, .largeOperator: + shouldConvertToOrdinary = true + default: + shouldConvertToOrdinary = false + } + } + + if shouldConvertToOrdinary { + atom.type = .ordinary + } + } + + if atom.type == .ordinary { + // This is Rule 14 to merge ordinary characters. + // combine ordinary atoms together + // CRITICAL FIX: Only fuse atoms with the same fontStyle + // This prevents fusing roman text (\text{...}) with italic math variables (A, B, etc.) + // which would cause incorrect line breaking when the combined string is tokenized + if prevNode != nil && prevNode.type == .ordinary && prevNode.subScript == nil && prevNode.superScript == nil && prevNode.fontStyle == atom.fontStyle { + prevNode.fuse(with: atom) + // skip the current node, we are done here. + continue + } + } + + // TODO: add italic correction here or in second pass? + prevNode = atom + preprocessed.append(atom) + } + return preprocessed + } + + // returns the size of the font in this style + static func getStyleSize(_ style:MTLineStyle, font:MTFont?) -> CGFloat { + let original = font!.fontSize + let scaled: CGFloat + switch style { + case .display, .text: + scaled = original + case .script: + scaled = original * font!.mathTable!.scriptScaleDown + case .scriptOfScript: + scaled = original * font!.mathTable!.scriptScriptScaleDown + } + // Apply minimum font size threshold to prevent deeply nested exponents + // from becoming unreadable (common for expressions like 2^{2^{2^2}}) + // Minimum of 6pt ensures readability while maintaining proper hierarchy + return max(scaled, 6.0) + } + + // MARK: - Spacing + + // Returned in units of mu = 1/18 em. + func getSpacingInMu(_ type: InterElementSpaceType) -> Int { + // let valid = [MTLineStyle.display, .text] + switch type { + case .invalid: return -1 + case .none: return 0 + case .thin: return 3 + case .nsThin: return style.isNotScript ? 3 : 0; + case .nsMedium: return style.isNotScript ? 4 : 0; + case .nsThick: return style.isNotScript ? 5 : 0; + } + } + + func getInterElementSpace(_ left: MTMathAtomType, right:MTMathAtomType) -> CGFloat { + let leftIndex = getInterElementSpaceArrayIndexForType(left, row: true) + let rightIndex = getInterElementSpaceArrayIndexForType(right, row: false) + let spaceArray = getInterElementSpaces()[Int(leftIndex)] + let spaceTypeObj = spaceArray[Int(rightIndex)] + let spaceType = spaceTypeObj + assert(spaceType != .invalid, "Invalid space between \(left) and \(right)") + + let spaceMultipler = self.getSpacingInMu(spaceType) + if spaceMultipler > 0 { + // 1 em = size of font in pt. space multipler is in multiples mu or 1/18 em + return CGFloat(spaceMultipler) * styleFont.mathTable!.muUnit + } + return 0 + } + + + // MARK: - Subscript/Superscript + + func scriptStyle() -> MTLineStyle { + switch style { + case .display, .text: return .script + case .script, .scriptOfScript: return .scriptOfScript + } + } + + // subscript is always cramped + func subscriptCramped() -> Bool { true } + + // superscript is cramped only if the current style is cramped + func superScriptCramped() -> Bool { cramped } + + func superScriptShiftUp() -> CGFloat { + if cramped { + return styleFont.mathTable!.superscriptShiftUpCramped; + } else { + return styleFont.mathTable!.superscriptShiftUp; + } + } + + // make scripts for the last atom + // index is the index of the element which is getting the sub/super scripts. + func makeScripts(_ atom: MTMathAtom?, display:MTDisplay?, index:UInt, delta:CGFloat) { + guard let atom = atom else { return } + guard atom.subScript != nil || atom.superScript != nil else { return } + guard let mathTable = styleFont.mathTable else { return } + + var superScriptShiftUp = 0.0 + var subscriptShiftDown = 0.0 + + display?.hasScript = true + if !(display is MTCTLineDisplay), let display = display { + // get the font in script style + let scriptFontSize = Self.getStyleSize(self.scriptStyle(), font:font) + let scriptFont = font.copy(withSize: scriptFontSize) + let scriptFontMetrics = scriptFont.mathTable + + // if it is not a simple line then + if let scriptFontMetrics = scriptFontMetrics { + superScriptShiftUp = display.ascent - scriptFontMetrics.superscriptBaselineDropMax + subscriptShiftDown = display.descent + scriptFontMetrics.subscriptBaselineDropMin + } + } + + if atom.superScript == nil { + guard let _subscript = MTTypesetter.createLineForMathList(atom.subScript, font:font, style:self.scriptStyle(), cramped:self.subscriptCramped()) else { return } + _subscript.type = .ssubscript + _subscript.index = Int(index) + + subscriptShiftDown = fmax(subscriptShiftDown, mathTable.subscriptShiftDown); + subscriptShiftDown = fmax(subscriptShiftDown, _subscript.ascent - mathTable.subscriptTopMax); + // add the subscript + _subscript.position = CGPointMake(currentPosition.x, currentPosition.y - subscriptShiftDown); + displayAtoms.append(_subscript) + // update the position + currentPosition.x += _subscript.width + mathTable.spaceAfterScript; + return; + } + + guard let superScript = MTTypesetter.createLineForMathList(atom.superScript, font:font, style:self.scriptStyle(), cramped:self.superScriptCramped()) else { return } + superScript.type = .superscript + superScript.index = Int(index); + superScriptShiftUp = fmax(superScriptShiftUp, self.superScriptShiftUp()); + superScriptShiftUp = fmax(superScriptShiftUp, superScript.descent + mathTable.superscriptBottomMin); + + if atom.subScript == nil { + superScript.position = CGPointMake(currentPosition.x, currentPosition.y + superScriptShiftUp); + displayAtoms.append(superScript) + // update the position + currentPosition.x += superScript.width + mathTable.spaceAfterScript; + return; + } + guard let ssubscript = MTTypesetter.createLineForMathList(atom.subScript, font:font, style:self.scriptStyle(), cramped:self.subscriptCramped()) else { return } + ssubscript.type = .ssubscript + ssubscript.index = Int(index) + subscriptShiftDown = fmax(subscriptShiftDown, mathTable.subscriptShiftDown); + + // joint positioning of subscript & superscript + let subSuperScriptGap = (superScriptShiftUp - superScript.descent) + (subscriptShiftDown - ssubscript.ascent); + if (subSuperScriptGap < mathTable.subSuperscriptGapMin) { + // Set the gap to atleast as much + subscriptShiftDown += mathTable.subSuperscriptGapMin - subSuperScriptGap; + let superscriptBottomDelta = mathTable.superscriptBottomMaxWithSubscript - (superScriptShiftUp - superScript.descent); + if (superscriptBottomDelta > 0) { + // superscript is lower than the max allowed by the font with a subscript. + superScriptShiftUp += superscriptBottomDelta; + subscriptShiftDown -= superscriptBottomDelta; + } + } + // The delta is the italic correction above that shift superscript position + superScript.position = CGPointMake(currentPosition.x + delta, currentPosition.y + superScriptShiftUp); + displayAtoms.append(superScript) + ssubscript.position = CGPointMake(currentPosition.x, currentPosition.y - subscriptShiftDown); + displayAtoms.append(ssubscript) + currentPosition.x += max(superScript.width + delta, ssubscript.width) + mathTable.spaceAfterScript; + } + + // MARK: - Helper Functions + + /// Safely converts an NSRange location to UInt, returning 0 if the location is invalid (NSNotFound) + /// This prevents "Negative value is not representable" crashes when converting NSNotFound to UInt + private func safeUIntFromLocation(_ location: Int) -> UInt { + if location == NSNotFound || location < 0 { + return 0 + } + return UInt(location) + } + + // MARK: - Fractions + + func numeratorShiftUp(_ hasRule:Bool) -> CGFloat { + if hasRule { + if style == .display { + return styleFont.mathTable!.fractionNumeratorDisplayStyleShiftUp + } else { + return styleFont.mathTable!.fractionNumeratorShiftUp + } + } else { + if style == .display { + return styleFont.mathTable!.stackTopDisplayStyleShiftUp + } else { + return styleFont.mathTable!.stackTopShiftUp + } + } + } + + func numeratorGapMin() -> CGFloat { + if style == .display { + return styleFont.mathTable!.fractionNumeratorDisplayStyleGapMin; + } else { + return styleFont.mathTable!.fractionNumeratorGapMin; + } + } + + func denominatorShiftDown(_ hasRule:Bool) -> CGFloat { + if hasRule { + if style == .display { + return styleFont.mathTable!.fractionDenominatorDisplayStyleShiftDown; + } else { + return styleFont.mathTable!.fractionDenominatorShiftDown; + } + } else { + if style == .display { + return styleFont.mathTable!.stackBottomDisplayStyleShiftDown; + } else { + return styleFont.mathTable!.stackBottomShiftDown; + } + } + } + + func denominatorGapMin() -> CGFloat { + if style == .display { + return styleFont.mathTable!.fractionDenominatorDisplayStyleGapMin; + } else { + return styleFont.mathTable!.fractionDenominatorGapMin; + } + } + + func stackGapMin() -> CGFloat { + if style == .display { + return styleFont.mathTable!.stackDisplayStyleGapMin; + } else { + return styleFont.mathTable!.stackGapMin; + } + } + + func fractionDelimiterHeight()-> CGFloat { + if style == .display { + return styleFont.mathTable!.fractionDelimiterDisplayStyleSize; + } else { + return styleFont.mathTable!.fractionDelimiterSize; + } + } + + func fractionStyle() -> MTLineStyle { + // Keep fractions at the same style level instead of incrementing. + // This ensures that fraction numerators/denominators have the same + // font size as regular text, preventing them from appearing too small + // in inline mode or when nested. + return style + } + + func makeFraction(_ frac:MTFraction?) -> MTDisplay? { + guard let frac = frac else { return nil } + + // lay out the parts of the fraction + let numeratorStyle: MTLineStyle + let denominatorStyle: MTLineStyle + + if frac.isContinuedFraction { + // Continued fractions always use display style + numeratorStyle = .display + denominatorStyle = .display + } else { + // Regular fractions use adaptive style + let fractionStyle = self.fractionStyle; + numeratorStyle = fractionStyle() + denominatorStyle = fractionStyle() + } + + let numeratorDisplay = MTTypesetter.createLineForMathList(frac.numerator, font:font, style:numeratorStyle, cramped:false) + let denominatorDisplay = MTTypesetter.createLineForMathList(frac.denominator, font:font, style:denominatorStyle, cramped:true) + + // Handle empty numerator or denominator by creating empty displays + let numDisplay = numeratorDisplay ?? MTMathListDisplay(withDisplays: [], range: NSMakeRange(0, 0)) + let denomDisplay = denominatorDisplay ?? MTMathListDisplay(withDisplays: [], range: NSMakeRange(0, 0)) + + // determine the location of the numerator + var numeratorShiftUp = self.numeratorShiftUp(frac.hasRule) + var denominatorShiftDown = self.denominatorShiftDown(frac.hasRule) + let barLocation = styleFont.mathTable!.axisHeight + let barThickness = frac.hasRule ? styleFont.mathTable!.fractionRuleThickness : 0 + + if frac.hasRule { + // This is the difference between the lowest edge of the numerator and the top edge of the fraction bar + let distanceFromNumeratorToBar = (numeratorShiftUp - numDisplay.descent) - (barLocation + barThickness/2); + // The distance should at least be displayGap + let minNumeratorGap = self.numeratorGapMin; + if distanceFromNumeratorToBar < minNumeratorGap() { + // This makes the distance between the bottom of the numerator and the top edge of the fraction bar + // at least minNumeratorGap. + numeratorShiftUp += (minNumeratorGap() - distanceFromNumeratorToBar); + } + + // Do the same for the denominator + // This is the difference between the top edge of the denominator and the bottom edge of the fraction bar + let distanceFromDenominatorToBar = (barLocation - barThickness/2) - (denomDisplay.ascent - denominatorShiftDown); + // The distance should at least be denominator gap + let minDenominatorGap = self.denominatorGapMin; + if distanceFromDenominatorToBar < minDenominatorGap() { + // This makes the distance between the top of the denominator and the bottom of the fraction bar to be exactly + // minDenominatorGap + denominatorShiftDown += (minDenominatorGap() - distanceFromDenominatorToBar); + } + } else { + // This is the distance between the numerator and the denominator + let clearance = (numeratorShiftUp - numDisplay.descent) - (denomDisplay.ascent - denominatorShiftDown); + // This is the minimum clearance between the numerator and denominator. + // For ruleless fractions (like binom, choose, atop), use 1.5x the standard gap + // for better visual separation, following TeX's approach for binomial coefficients + let minGap = self.stackGapMin() * 1.5 + if clearance < minGap { + numeratorShiftUp += (minGap - clearance)/2; + denominatorShiftDown += (minGap - clearance)/2; + } + } + + let display = MTFractionDisplay(withNumerator: numDisplay, denominator: denomDisplay, position: currentPosition, range: frac.indexRange) + + display.numeratorUp = numeratorShiftUp; + display.denominatorDown = denominatorShiftDown; + display.lineThickness = barThickness; + display.linePosition = barLocation; + if frac.leftDelimiter.isEmpty && frac.rightDelimiter.isEmpty { + return display + } else { + return self.addDelimitersToFractionDisplay(display, forFraction: frac) + } + } + + func addDelimitersToFractionDisplay(_ display: MTFractionDisplay, forFraction frac: MTFraction) -> MTDisplay { + assert(!frac.leftDelimiter.isEmpty || !frac.rightDelimiter.isEmpty, "Fraction should have delimiters to call this function") + + var innerElements = [MTDisplay]() + let glyphHeight = self.fractionDelimiterHeight + var position = CGPoint.zero + if !frac.leftDelimiter.isEmpty { + if let leftGlyph = self.findGlyphForBoundary(frac.leftDelimiter, withHeight: glyphHeight()) { + leftGlyph.position = position + position.x += leftGlyph.width + innerElements.append(leftGlyph) + } + } + + display.position = position + position.x += display.width + innerElements.append(display) + + if !frac.rightDelimiter.isEmpty { + if let rightGlyph = self.findGlyphForBoundary(frac.rightDelimiter, withHeight: glyphHeight()) { + rightGlyph.position = position + position.x += rightGlyph.width + innerElements.append(rightGlyph) + } + } + let innerDisplay = MTMathListDisplay(withDisplays: innerElements, range: frac.indexRange) + innerDisplay.position = currentPosition + return innerDisplay + } + + // MARK: - Radicals + + func radicalVerticalGap() -> CGFloat { + if style == .display { + return styleFont.mathTable!.radicalDisplayStyleVerticalGap + } else { + return styleFont.mathTable!.radicalVerticalGap + } + } + + func getRadicalGlyphWithHeight(_ radicalHeight:CGFloat) -> MTDisplayDS? { + var glyphAscent=CGFloat(0), glyphDescent=CGFloat(0), glyphWidth=CGFloat(0) + + let radicalGlyph = self.findGlyphForCharacterAtIndex("\u{221A}".startIndex, inString:"\u{221A}") + let glyph = self.findGlyph(radicalGlyph, withHeight:radicalHeight, glyphAscent:&glyphAscent, glyphDescent:&glyphDescent, glyphWidth:&glyphWidth) + + var glyphDisplay:MTDisplayDS? + if glyphAscent + glyphDescent < radicalHeight { + // the glyphs is not as large as required. A glyph needs to be constructed using the extenders. + glyphDisplay = self.constructGlyph(radicalGlyph, withHeight:radicalHeight) + } + + if glyphDisplay == nil { + // No constructed display so use the glyph we got. + glyphDisplay = MTGlyphDisplay(withGlpyh: glyph, range: NSMakeRange(NSNotFound, 0), font:styleFont) + glyphDisplay!.ascent = glyphAscent; + glyphDisplay!.descent = glyphDescent; + glyphDisplay!.width = glyphWidth; + } + return glyphDisplay; + } + + func makeRadical(_ radicand:MTMathList?, range:NSRange) -> MTRadicalDisplay? { + let innerDisplay = MTTypesetter.createLineForMathList(radicand, font:font, style:style, cramped:true)! + var clearance = self.radicalVerticalGap() + let radicalRuleThickness = styleFont.mathTable!.radicalRuleThickness + let radicalHeight = innerDisplay.ascent + innerDisplay.descent + clearance + radicalRuleThickness + + let glyph = self.getRadicalGlyphWithHeight(radicalHeight)! + + // Note this is a departure from Latex. Latex assumes that glyphAscent == thickness. + // Open type math makes no such assumption, and ascent and descent are independent of the thickness. + // Latex computes delta as descent - (h(inner) + d(inner) + clearance) + // but since we may not have ascent == thickness, we modify the delta calculation slightly. + // If the font designer followes Latex conventions, it will be identical. + let delta = (glyph.descent + glyph.ascent) - (innerDisplay.ascent + innerDisplay.descent + clearance + radicalRuleThickness) + if delta > 0 { + clearance += delta/2 // increase the clearance to center the radicand inside the sign. + } + + // we need to shift the radical glyph up, to coincide with the baseline of inner. + // The new ascent of the radical glyph should be thickness + adjusted clearance + h(inner) + let radicalAscent = radicalRuleThickness + clearance + innerDisplay.ascent + let shiftUp = radicalAscent - glyph.ascent // Note: if the font designer followed latex conventions, this is the same as glyphAscent == thickness. + glyph.shiftDown = -shiftUp + + let radical = MTRadicalDisplay(withRadicand: innerDisplay, glyph: glyph, position: currentPosition, range: range) + radical.ascent = radicalAscent + styleFont.mathTable!.radicalExtraAscender + radical.topKern = styleFont.mathTable!.radicalExtraAscender + radical.lineThickness = radicalRuleThickness + // Note: Until we have radical construction from parts, it is possible that glyphAscent+glyphDescent is less + // than the requested height of the glyph (i.e. radicalHeight), so in the case the innerDisplay has a larger + // descent we use the innerDisplay's descent. + radical.descent = max(glyph.ascent + glyph.descent - radicalAscent, innerDisplay.descent) + radical.width = glyph.width + innerDisplay.width + return radical + } + + // MARK: - Glyphs + + func findGlyph(_ glyph:CGGlyph, withHeight height:CGFloat, glyphAscent:inout CGFloat, glyphDescent:inout CGFloat, glyphWidth:inout CGFloat) -> CGGlyph { + let variants = styleFont.mathTable!.getVerticalVariantsForGlyph(glyph) + let numVariants = variants.count; + var glyphs = [CGGlyph]()// numVariants) + glyphs.reserveCapacity(numVariants) + for i in 0 ..< numVariants { + let glyph = variants[i]!.uint16Value + glyphs.append(glyph) + } + + var bboxes = [CGRect](repeating: CGRect.zero, count: numVariants) + var advances = [CGSize](repeating: CGSize.zero, count: numVariants) + + // Get the bounds for these glyphs + CTFontGetBoundingRectsForGlyphs(styleFont.ctFont, .horizontal, glyphs, &bboxes, numVariants) + CTFontGetAdvancesForGlyphs(styleFont.ctFont, .horizontal, glyphs, &advances, numVariants); + var ascent=CGFloat(0), descent=CGFloat(0), width=CGFloat(0) + for i in 0..= height) { + glyphAscent = ascent; + glyphDescent = descent; + glyphWidth = width; + return glyphs[i] + } + } + glyphAscent = ascent; + glyphDescent = descent; + glyphWidth = width; + return glyphs[numVariants - 1] + } + + func constructGlyph(_ glyph:CGGlyph, withHeight glyphHeight:CGFloat) -> MTGlyphConstructionDisplay? { + let parts = styleFont.mathTable!.getVerticalGlyphAssembly(forGlyph: glyph) + if parts.count == 0 { + return nil + } + var glyphs = [NSNumber](), offsets = [NSNumber]() + var height:CGFloat=0 + self.constructGlyphWithParts(parts, glyphHeight:glyphHeight, glyphs:&glyphs, offsets:&offsets, height:&height) + var first = glyphs[0].uint16Value + let width = CTFontGetAdvancesForGlyphs(styleFont.ctFont, .horizontal, &first, nil, 1); + let display = MTGlyphConstructionDisplay(withGlyphs: glyphs, offsets: offsets, font: styleFont) + display.width = width; + display.ascent = height; + display.descent = 0; // it's upto the rendering to adjust the display up or down. + return display; + } + + func constructGlyphWithParts(_ parts:[GlyphPart], glyphHeight:CGFloat, glyphs:inout [NSNumber], offsets:inout [NSNumber], height:inout CGFloat) { + // Loop forever until the glyph height is valid + for numExtenders in 0..= glyphHeight) { + // we are done + glyphs = glyphsRv; + offsets = offsetsRv; + height = minHeight; + return; + } else if (glyphHeight <= maxHeight) { + // spread the delta equally between all the connectors + let delta = glyphHeight - minHeight; + let deltaIncrease = Float(delta) / Float(glyphsRv.count - 1) + var lastOffset = CGFloat(0) + for i in 0.. CGGlyph { + // Get the character at index taking into account UTF-32 characters + var chars = Array(str[index].utf16) + + // Get the glyph from the font + var glyph = [CGGlyph](repeating: CGGlyph.zero, count: chars.count) + let found = CTFontGetGlyphsForCharacters(styleFont.ctFont, &chars, &glyph, chars.count) + if !found { + // Try fallback font if available + if let fallbackFont = styleFont.fallbackFont { + let fallbackFound = CTFontGetGlyphsForCharacters(fallbackFont, &chars, &glyph, chars.count) + if fallbackFound { + return glyph[0] + } + } + // the font did not contain a glyph for our character, so we just return 0 (notdef) + return 0 + } + return glyph[0] + } + + // MARK: - Large Operators + + func makeLargeOp(_ op:MTLargeOperator!) -> MTDisplay? { + // Show limits above/below in display mode + // For inline mode, we still center limits below for operators like \lim, but with tighter spacing + let limits = op.limits && (style == .display || style == .text) + var delta = CGFloat(0) + if op.nucleus.count == 1 { + var glyph = self.findGlyphForCharacterAtIndex(op.nucleus.startIndex, inString:op.nucleus) + if glyph != 0 { + // Enlarge large operators to make them visually distinctive + if style == .display { + // Display style: use large variant for mathematical display mode (~2.2em) + glyph = styleFont.mathTable!.getLargerGlyph(glyph, forDisplayStyle: true) + } else if style == .text { + // Text/inline style: use moderately larger variant to ensure operator is taller than surrounding text + glyph = styleFont.mathTable!.getLargerGlyph(glyph, forDisplayStyle: false) + } + // Script and scriptOfScript styles keep base size (compact rendering) + } + // This is be the italic correction of the character. + delta = styleFont.mathTable!.getItalicCorrection(glyph) + + // vertically center + let bbox = CTFontGetBoundingRectsForGlyphs(styleFont.ctFont, .horizontal, &glyph, nil, 1); + let width = CTFontGetAdvancesForGlyphs(styleFont.ctFont, .horizontal, &glyph, nil, 1); + var ascent=CGFloat(0), descent=CGFloat(0) + getBboxDetails(bbox, ascent: &ascent, descent: &descent) + let shiftDown = 0.5*(ascent - descent) - styleFont.mathTable!.axisHeight; + let glyphDisplay = MTGlyphDisplay(withGlpyh: glyph, range: op.indexRange, font: styleFont) + glyphDisplay.ascent = ascent; + glyphDisplay.descent = descent; + glyphDisplay.width = width; + if (op.subScript != nil) && !limits { + // Remove italic correction from the width of the glyph if + // there is a subscript and limits is not set. + glyphDisplay.width -= delta; + } + glyphDisplay.shiftDown = shiftDown; + glyphDisplay.position = currentPosition; + return self.addLimitsToDisplay(glyphDisplay, forOperator:op, delta:delta) + } else { + // Create a regular node + let line = NSMutableAttributedString(string: op.nucleus) + // add the font + line.addAttribute(kCTFontAttributeName as NSAttributedString.Key, value:styleFont.ctFont!, range:NSMakeRange(0, line.length)) + let displayAtom = MTCTLineDisplay(withString: line, position: currentPosition, range: op.indexRange, font: styleFont, atoms: [op]) + return self.addLimitsToDisplay(displayAtom, forOperator:op, delta:0) + } + } + + func addLimitsToDisplay(_ display:MTDisplay?, forOperator op:MTLargeOperator, delta:CGFloat) -> MTDisplay? { + // If there is no subscript or superscript, just return the current display + if op.subScript == nil && op.superScript == nil { + currentPosition.x += display!.width + return display; + } + // Show limits above/below in both display and text (inline) modes + if op.limits && (style == .display || style == .text) { + // make limits (above/below positioning) + var superScript:MTMathListDisplay? = nil, subScript:MTMathListDisplay? = nil + + // Scale font for script style before creating scripts + // This matches how MTDisplayPreRenderer.renderScript() handles script sizing + let scriptStyle = self.scriptStyle() + let scriptFontSize = MTTypesetter.getStyleSize(scriptStyle, font: font) + let scriptFont = font.copy(withSize: scriptFontSize) + + if op.superScript != nil { + superScript = MTTypesetter.createLineForMathList(op.superScript, font:scriptFont, style:scriptStyle, cramped:self.superScriptCramped()) + } + if op.subScript != nil { + subScript = MTTypesetter.createLineForMathList(op.subScript, font:scriptFont, style:scriptStyle, cramped:self.subscriptCramped()) + } + assert((superScript != nil) || (subScript != nil), "At least one of superscript or subscript should have been present."); + let opsDisplay = MTLargeOpLimitsDisplay(withNucleus:display, upperLimit:superScript, lowerLimit:subScript, limitShift:delta/2, extraPadding:0) + + // Use standard OpenType MATH metrics for limit spacing + if superScript != nil { + let upperLimitGap = max(styleFont.mathTable!.upperLimitGapMin, styleFont.mathTable!.upperLimitBaselineRiseMin - superScript!.descent); + opsDisplay.upperLimitGap = upperLimitGap; + } + if subScript != nil { + let lowerLimitGap = max(styleFont.mathTable!.lowerLimitGapMin, styleFont.mathTable!.lowerLimitBaselineDropMin - subScript!.ascent); + opsDisplay.lowerLimitGap = lowerLimitGap; + } + opsDisplay.position = currentPosition; + opsDisplay.range = op.indexRange; + currentPosition.x += opsDisplay.width; + return opsDisplay; + } else { + currentPosition.x += display!.width; + self.makeScripts(op, display:display, index:safeUIntFromLocation(op.indexRange.location), delta:delta) + return display; + } + } + + // MARK: - Large delimiters + + // Delimiter shortfall from plain.tex + static let kDelimiterFactor = CGFloat(901) + static let kDelimiterShortfallPoints = CGFloat(5) + + func makeLeftRight(_ inner: MTInner?, maxWidth: CGFloat = 0) -> MTDisplay? { + assert(inner!.leftBoundary != nil || inner!.rightBoundary != nil, "Inner should have a boundary to call this function"); + + let glyphHeight: CGFloat + + // Check if we have an explicit delimiter height (from \big, \Big, etc.) + if let delimiterMultiplier = inner!.delimiterHeight { + // delimiterHeight is a multiplier (e.g., 1.2, 1.8, 2.4, 3.0) + // Multiply by font size to get actual height + glyphHeight = styleFont.fontSize * delimiterMultiplier + } else { + // Calculate height based on inner content (for \left...\right) + let innerListDisplay = MTTypesetter.createLineForMathList(inner!.innerList, font:font, style:style, cramped:cramped, spaced:true, maxWidth:maxWidth) + let axisHeight = styleFont.mathTable!.axisHeight + // delta is the max distance from the axis + let delta = max(innerListDisplay!.ascent - axisHeight, innerListDisplay!.descent + axisHeight); + let d1 = (delta / 500) * MTTypesetter.kDelimiterFactor; // This represents atleast 90% of the formula + let d2 = 2 * delta - MTTypesetter.kDelimiterShortfallPoints; // This represents a shortfall of 5pt + // The size of the delimiter glyph should cover at least 90% of the formula or + // be at most 5pt short. + glyphHeight = max(d1, d2); + } + + var innerElements = [MTDisplay]() + var position = CGPoint.zero + + // Add horizontal padding between delimiters and content + // Use 2 mu (about 1/9 em) for breathing room, matching TeX standards + let delimiterPadding = styleFont.mathTable!.muUnit * 2 + + if inner!.leftBoundary != nil && !inner!.leftBoundary!.nucleus.isEmpty { + let leftGlyph = self.findGlyphForBoundary(inner!.leftBoundary!.nucleus, withHeight:glyphHeight) + leftGlyph!.position = position + position.x += leftGlyph!.width + innerElements.append(leftGlyph!) + // Add padding after left delimiter + position.x += delimiterPadding + } + + // Only include inner content if not using explicit delimiter height + // (explicit height commands like \big produce standalone delimiters) + if inner!.delimiterHeight == nil { + let innerListDisplay = MTTypesetter.createLineForMathList(inner!.innerList, font:font, style:style, cramped:cramped, spaced:true, maxWidth:maxWidth) + innerListDisplay!.position = position; + position.x += innerListDisplay!.width; + innerElements.append(innerListDisplay!) + } + + if inner!.rightBoundary != nil && !inner!.rightBoundary!.nucleus.isEmpty { + // Add padding before right delimiter + position.x += delimiterPadding + let rightGlyph = self.findGlyphForBoundary(inner!.rightBoundary!.nucleus, withHeight:glyphHeight) + rightGlyph!.position = position; + position.x += rightGlyph!.width; + innerElements.append(rightGlyph!) + } + let innerDisplay = MTMathListDisplay(withDisplays: innerElements, range: inner!.indexRange) + return innerDisplay + } + + func findGlyphForBoundary(_ delimiter:String, withHeight glyphHeight:CGFloat) -> MTDisplay? { + var glyphAscent=CGFloat(0), glyphDescent=CGFloat(0), glyphWidth=CGFloat(0) + let leftGlyph = self.findGlyphForCharacterAtIndex(delimiter.startIndex, inString:delimiter) + let glyph = self.findGlyph(leftGlyph, withHeight:glyphHeight, glyphAscent:&glyphAscent, glyphDescent:&glyphDescent, glyphWidth:&glyphWidth) + + var glyphDisplay:MTDisplayDS? + if (glyphAscent + glyphDescent < glyphHeight) { + // we didn't find a pre-built glyph that is large enough + glyphDisplay = self.constructGlyph(leftGlyph, withHeight:glyphHeight) + } + + if glyphDisplay == nil { + // Create a glyph display + glyphDisplay = MTGlyphDisplay(withGlpyh: glyph, range: NSMakeRange(NSNotFound, 0), font:styleFont) + glyphDisplay!.ascent = glyphAscent; + glyphDisplay!.descent = glyphDescent; + glyphDisplay!.width = glyphWidth; + } + // Center the glyph on the axis + let shiftDown = 0.5*(glyphDisplay!.ascent - glyphDisplay!.descent) - styleFont.mathTable!.axisHeight; + glyphDisplay!.shiftDown = shiftDown; + return glyphDisplay; + } + + // MARK: - Underline/Overline + + func makeUnderline(_ under:MTUnderLine?) -> MTDisplay? { + let innerListDisplay = MTTypesetter.createLineForMathList(under!.innerList, font:font, style:style, cramped:cramped) + let underDisplay = MTLineDisplay(withInner: innerListDisplay, position: currentPosition, range: under!.indexRange) + // Move the line down by the vertical gap. + underDisplay.lineShiftUp = -(innerListDisplay!.descent + styleFont.mathTable!.underbarVerticalGap); + underDisplay.lineThickness = styleFont.mathTable!.underbarRuleThickness; + underDisplay.ascent = innerListDisplay!.ascent + underDisplay.descent = innerListDisplay!.descent + styleFont.mathTable!.underbarVerticalGap + styleFont.mathTable!.underbarRuleThickness + styleFont.mathTable!.underbarExtraDescender; + underDisplay.width = innerListDisplay!.width; + return underDisplay; + } + + func makeOverline(_ over:MTOverLine?) -> MTDisplay? { + let innerListDisplay = MTTypesetter.createLineForMathList(over!.innerList, font:font, style:style, cramped:true) + let overDisplay = MTLineDisplay(withInner:innerListDisplay, position:currentPosition, range:over!.indexRange) + overDisplay.lineShiftUp = innerListDisplay!.ascent + styleFont.mathTable!.overbarVerticalGap; + overDisplay.lineThickness = styleFont.mathTable!.underbarRuleThickness; + overDisplay.ascent = innerListDisplay!.ascent + styleFont.mathTable!.overbarVerticalGap + styleFont.mathTable!.overbarRuleThickness + styleFont.mathTable!.overbarExtraAscender; + overDisplay.descent = innerListDisplay!.descent; + overDisplay.width = innerListDisplay!.width; + return overDisplay; + } + + // MARK: - Accents + + func isSingleCharAccentee(_ accent:MTAccent?) -> Bool { + guard let accent = accent else { return false } + if accent.innerList!.atoms.count != 1 { + // Not a single char list. + return false + } + let innerAtom = accent.innerList!.atoms[0] + if innerAtom.nucleus.count != 1 { + // A complex atom, not a simple char. + return false + } + if innerAtom.subScript != nil || innerAtom.superScript != nil { + return false + } + return true + } + + // The distance the accent must be moved from the beginning. + func getSkew(_ accent: MTAccent?, accenteeWidth width:CGFloat, accentGlyph:CGGlyph) -> CGFloat { + guard let accent = accent else { return 0 } + if accent.nucleus.isEmpty { + // No accent + return 0 + } + let accentAdjustment = styleFont.mathTable!.getTopAccentAdjustment(accentGlyph) + var accenteeAdjustment = CGFloat(0) + if !self.isSingleCharAccentee(accent) { + // use the center of the accentee + accenteeAdjustment = width/2 + } else { + let innerAtom = accent.innerList!.atoms[0] + let accenteeGlyph = self.findGlyphForCharacterAtIndex(innerAtom.nucleus.index(innerAtom.nucleus.endIndex, offsetBy:-1), inString:innerAtom.nucleus) + accenteeAdjustment = styleFont.mathTable!.getTopAccentAdjustment(accenteeGlyph) + } + // The adjustments need to aligned, so skew is just the difference. + return (accenteeAdjustment - accentAdjustment) + } + + // Find the largest horizontal variant if exists, with width less than max width. + func findVariantGlyph(_ glyph:CGGlyph, withMaxWidth maxWidth:CGFloat, maxWidth glyphAscent:inout CGFloat, glyphDescent:inout CGFloat, glyphWidth:inout CGFloat, glyphMinY:inout CGFloat) -> CGGlyph { + let variants = styleFont.mathTable!.getHorizontalVariantsForGlyph(glyph) + let numVariants = variants.count + assert(numVariants > 0, "A glyph is always it's own variant, so number of variants should be > 0"); + var glyphs = [CGGlyph]() // [numVariants) + glyphs.reserveCapacity(numVariants) + for i in 0 ..< numVariants { + let glyph = variants[i]!.uint16Value + glyphs.append(glyph) + } + + var curGlyph = glyphs[0] // if no other glyph is found, we'll return the first one. + var bboxes = [CGRect](repeating: CGRect.zero, count: numVariants) // [numVariants) + var advances = [CGSize](repeating: CGSize.zero, count:numVariants) + // Get the bounds for these glyphs + CTFontGetBoundingRectsForGlyphs(styleFont.ctFont, .horizontal, &glyphs, &bboxes, numVariants); + CTFontGetAdvancesForGlyphs(styleFont.ctFont, .horizontal, &glyphs, &advances, numVariants); + for i in 0.. maxWidth) { + if (i == 0) { + // glyph dimensions are not yet set + glyphWidth = advances[i].width; + glyphAscent = ascent; + glyphDescent = descent; + glyphMinY = bounds.minY; + } + return curGlyph; + } else { + curGlyph = glyphs[i] + glyphWidth = advances[i].width; + glyphAscent = ascent; + glyphDescent = descent; + glyphMinY = bounds.minY; + } + } + // We exhausted all the variants and none was larger than the width, so we return the largest + return curGlyph; + } + + /// Gets the proper glyph name for arrow accents that have stretchy variants in the font. + /// Returns different glyphs based on the LaTeX command used: + /// - \vec: use combining character glyph (uni20D7) for small fixed-size arrow + /// - \overrightarrow: use non-combining arrow (arrowright) which can be stretched + func getArrowAccentGlyphName(_ accent: MTAccent) -> String? { + // Check if this is a stretchy arrow accent (set by the factory based on LaTeX command) + let useStretchy = accent.isStretchy + + // Map Unicode combining characters to appropriate glyph names + switch accent.nucleus { + case "\u{20D6}": // Combining left arrow above + return useStretchy ? "arrowleft" : "uni20D6" + case "\u{20D7}": // Combining right arrow above (\vec or \overrightarrow) + return useStretchy ? "arrowright" : "uni20D7" + case "\u{20E1}": // Combining left right arrow above + return useStretchy ? "arrowboth" : "uni20E1" + default: + return nil + } + } + + /// Gets the proper glyph name for wide accents that should stretch to cover content. + /// Returns different glyphs based on the LaTeX command used: + /// - \hat: use combining character for fixed-size accent + /// - \widehat: use non-combining circumflex which can be stretched + func getWideAccentGlyphName(_ accent: MTAccent) -> String? { + // Only apply to wide accents (set by factory based on LaTeX command) + guard accent.isWide else { return nil } + + // Map Unicode combining characters to non-combining glyph names with stretchy variants + switch accent.nucleus { + case "\u{0302}": // COMBINING CIRCUMFLEX ACCENT (\hat or \widehat) + return "circumflex" + case "\u{0303}": // COMBINING TILDE (\tilde or \widetilde) + return "tilde" + case "\u{030C}": // COMBINING CARON (\check or \widecheck) + return "caron" + default: + return nil + } + } + + /// Counts the approximate character length of the content under a wide accent. + /// This is used to select the appropriate glyph variant. + func getWideAccentContentLength(_ accent: MTAccent) -> Int { + guard let innerList = accent.innerList else { return 0 } + + var charCount = 0 + for atom in innerList.atoms { + switch atom.type { + case .variable, .number: + // Count actual characters + charCount += atom.nucleus.count + case .ordinary, .binaryOperator, .relation: + // Count as single character + charCount += 1 + case .fraction: + // Fractions count as 2 units + charCount += 2 + case .radical: + // Radicals count as 2 units + charCount += 2 + case .largeOperator: + // Large operators count as 2 units + charCount += 2 + default: + // Other types count as 1 unit + charCount += 1 + } + } + return charCount + } + + /// Determines which glyph variant to use for a wide accent based on content length. + /// Returns a multiplier for the requested width (1.0, 1.5, 2.0, or 2.5) + /// Selects variants based on character count to ensure proper coverage. + func getWideAccentVariantMultiplier(_ accent: MTAccent) -> CGFloat { + let charCount = getWideAccentContentLength(accent) + + // Map character count to variant width request multiplier + // This helps select larger glyph variants from the font's MATH table + // 1-2 chars: request 1.0x (smallest variant) + // 3-4 chars: request 1.5x (medium variant) + // 5-6 chars: request 2.0x (large variant) + // 7+ chars: request 2.5x (largest variant) + if charCount <= 2 { + return 1.0 + } else if charCount <= 4 { + return 1.5 + } else if charCount <= 6 { + return 2.0 + } else { + return 2.5 + } + } + + func makeAccent(_ accent:MTAccent?) -> MTDisplay? { + guard let accent = accent else { return nil } + + let accentee = MTTypesetter.createLineForMathList(accent.innerList, font:font, style:style, cramped:true) + if accent.nucleus.isEmpty { + // no accent! + return accentee + } + + // If accentee is nil (empty content), create an empty display + guard let accentee = accentee else { + // Return an empty display for empty content + let emptyDisplay = MTMathListDisplay(withDisplays: [], range: accent.indexRange) + emptyDisplay.position = currentPosition + return emptyDisplay + } + + var accentGlyph: CGGlyph + let isArrowAccent = getArrowAccentGlyphName(accent) != nil + let isWideAccent = getWideAccentGlyphName(accent) != nil + + // Check for special accent types that need non-combining glyphs + if let wideGlyphName = getWideAccentGlyphName(accent) { + // For wide accents, use non-combining glyphs (e.g., "circumflex", "tilde") + // These have horizontal variants that can stretch + accentGlyph = styleFont.get(glyphWithName: wideGlyphName) + } else if let arrowGlyphName = getArrowAccentGlyphName(accent) { + // For arrow accents, use non-combining arrow glyphs (e.g., "arrowright") + // These have larger horizontal variants than the combining versions + accentGlyph = styleFont.get(glyphWithName: arrowGlyphName) + } else { + // For regular accents, use Unicode character lookup + let end = accent.nucleus.index(before: accent.nucleus.endIndex) + accentGlyph = self.findGlyphForCharacterAtIndex(end, inString:accent.nucleus) + } + + let accenteeWidth = accentee.width; + var glyphAscent=CGFloat(0), glyphDescent=CGFloat(0), glyphWidth=CGFloat(0), glyphMinY=CGFloat(0) + + // Adjust requested width based on accent type: + // - Wide accents (\widehat): request width based on content length (variant selection) + // - Arrow accents (\overrightarrow): request extra width for stretching + // - Regular accents: request exact content width + let requestedWidth: CGFloat + if isWideAccent { + // For wide accents, request width based on content length to select appropriate variant + let multiplier = getWideAccentVariantMultiplier(accent) + requestedWidth = accenteeWidth * multiplier + } else if isArrowAccent { + if accent.isStretchy { + requestedWidth = accenteeWidth * 1.1 // Request extra width for stretching + } else { + requestedWidth = 1.0 // Get smallest non-zero variant (typically .h1) + } + } else { + requestedWidth = accenteeWidth + } + + accentGlyph = self.findVariantGlyph(accentGlyph, withMaxWidth:requestedWidth, maxWidth:&glyphAscent, glyphDescent:&glyphDescent, glyphWidth:&glyphWidth, glyphMinY:&glyphMinY) + + // For non-stretchy arrow accents (\vec): if we got a zero-width glyph (base combining char), + // manually select the first variant which is the proper accent size + if isArrowAccent && !accent.isStretchy && glyphWidth == 0 { + guard let mathTable = styleFont.mathTable else { return nil } + let variants = mathTable.getHorizontalVariantsForGlyph(accentGlyph) + if variants.count > 1, let variantNum = variants[1] { + // Use the first variant (.h1) which has proper width + accentGlyph = CGGlyph(variantNum.uint16Value) + var glyph = accentGlyph + var advances = CGSize.zero + CTFontGetAdvancesForGlyphs(styleFont.ctFont, .horizontal, &glyph, &advances, 1) + glyphWidth = advances.width + // Recalculate ascent and descent for the variant glyph + var boundingRects = CGRect.zero + CTFontGetBoundingRectsForGlyphs(styleFont.ctFont, .horizontal, &glyph, &boundingRects, 1) + glyphMinY = boundingRects.minY + glyphAscent = boundingRects.maxY + glyphDescent = -boundingRects.minY + } + } + + // Special accents (arrows and wide accents) need more vertical space and different positioning + let delta: CGFloat + let height: CGFloat + let skew: CGFloat + + if isWideAccent { + // Wide accents (\widehat, \widetilde): use same vertical spacing as stretchy arrows + delta = 0 // No compression for wide accents + guard let mathTable = styleFont.mathTable else { return nil } + let wideAccentSpacing = mathTable.upperLimitGapMin // Same as stretchy arrows + // Compensate for internal glyph whitespace (minY > 0) + let minYCompensation = max(0, glyphMinY) + height = accentee.ascent + wideAccentSpacing - minYCompensation + + // For wide accents: if the largest glyph variant is still smaller than content width, + // scale it horizontally to fully cover the content + if glyphWidth < accenteeWidth { + // Add padding to make accent extend slightly beyond content + // Use ~0.1em padding (less than arrows which use ~0.167em) + let widePadding = styleFont.fontSize / 10 // Approximately 0.1em + let targetWidth = accenteeWidth + widePadding + + let scaleX = targetWidth / glyphWidth + let accentGlyphDisplay = MTGlyphDisplay(withGlpyh: accentGlyph, range: accent.indexRange, font: styleFont) + accentGlyphDisplay.scaleX = scaleX // Apply horizontal scaling + accentGlyphDisplay.ascent = glyphAscent + accentGlyphDisplay.descent = glyphDescent + accentGlyphDisplay.width = targetWidth // Set width to include padding + accentGlyphDisplay.position = CGPointMake(0, height) // Align to left edge + + var finalAccentee = accentee + if self.isSingleCharAccentee(accent) && (accent.subScript != nil || accent.superScript != nil) { + // Attach the super/subscripts to the accentee instead of the accent. + guard let innerList = accent.innerList, + !innerList.atoms.isEmpty else { return nil } + let innerAtom = innerList.atoms[0] + innerAtom.superScript = accent.superScript + innerAtom.subScript = accent.subScript + accent.superScript = nil + accent.subScript = nil + if let remadeAccentee = MTTypesetter.createLineForMathList(accent.innerList, font:font, style:style, cramped:cramped) { + finalAccentee = remadeAccentee + } + } + + let display = MTAccentDisplay(withAccent:accentGlyphDisplay, accentee:finalAccentee, range:accent.indexRange) + display.width = finalAccentee.width + display.descent = finalAccentee.descent + let ascent = height + glyphAscent + display.ascent = max(finalAccentee.ascent, ascent) + display.position = currentPosition + return display + } else { + // Wide accent glyph is wide enough: center it over the content + skew = (accenteeWidth - glyphWidth) / 2 + } + } else if isArrowAccent { + // Arrow accents spacing depends on whether they're stretchy or not + guard let mathTable = styleFont.mathTable else { return nil } + if accent.isStretchy { + // Stretchy arrows (\overrightarrow): use full ascent + additional spacing + delta = 0 // No compression for stretchy arrows + let arrowSpacing = mathTable.upperLimitGapMin // Use standard gap + // Compensate for internal glyph whitespace (minY > 0) + let minYCompensation = max(0, glyphMinY) + height = accentee.ascent + arrowSpacing - minYCompensation + } else { + // Non-stretchy arrows (\vec): use tight spacing like regular accents + // This gives a more compact appearance suitable for single-character vectors + delta = min(accentee.ascent, mathTable.accentBaseHeight) + // Use same formula as regular accents (no minYCompensation adjustment) + // This places the arrow properly above the character + height = accentee.ascent - delta + } + + // For stretchy arrow accents (\overrightarrow): if the largest glyph variant is still smaller than content width, + // scale it horizontally to fully cover the content + // Add small padding to make arrow tip extend slightly beyond content + // For non-stretchy accents (\vec): always center without scaling + if accent.isStretchy && glyphWidth < accenteeWidth { + // Add padding to make arrow extend beyond content on the tip side + // Use approximately 0.15-0.2em extra width + let arrowPadding = styleFont.fontSize / 6 // Approximately 0.167em at typical font sizes + let targetWidth = accenteeWidth + arrowPadding + + let scaleX = targetWidth / glyphWidth + let accentGlyphDisplay = MTGlyphDisplay(withGlpyh: accentGlyph, range: accent.indexRange, font: styleFont) + accentGlyphDisplay.scaleX = scaleX // Apply horizontal scaling + accentGlyphDisplay.ascent = glyphAscent + accentGlyphDisplay.descent = glyphDescent + accentGlyphDisplay.width = targetWidth // Set width to include padding + accentGlyphDisplay.position = CGPointMake(0, height) // Align to left edge + + var finalAccentee = accentee + if self.isSingleCharAccentee(accent) && (accent.subScript != nil || accent.superScript != nil) { + // Attach the super/subscripts to the accentee instead of the accent. + guard let innerList = accent.innerList, + !innerList.atoms.isEmpty else { return nil } + let innerAtom = innerList.atoms[0] + innerAtom.superScript = accent.superScript + innerAtom.subScript = accent.subScript + accent.superScript = nil + accent.subScript = nil + if let remadeAccentee = MTTypesetter.createLineForMathList(accent.innerList, font:font, style:style, cramped:cramped) { + finalAccentee = remadeAccentee + } + } + + let display = MTAccentDisplay(withAccent:accentGlyphDisplay, accentee:finalAccentee, range:accent.indexRange) + display.width = finalAccentee.width + display.descent = finalAccentee.descent + let ascent = height + glyphAscent + display.ascent = max(finalAccentee.ascent, ascent) + display.position = currentPosition + return display + } else { + // Arrow glyph is wide enough or is non-stretchy (\vec): center it over the content + skew = (accenteeWidth - glyphWidth) / 2 + } + } else { + // For regular accents: use traditional tight positioning + guard let mathTable = styleFont.mathTable else { return nil } + delta = min(accentee.ascent, mathTable.accentBaseHeight) + skew = self.getSkew(accent, accenteeWidth:accenteeWidth, accentGlyph:accentGlyph) + height = accentee.ascent - delta // This is always positive since delta <= height. + } + + let accentPosition = CGPointMake(skew, height); + let accentGlyphDisplay = MTGlyphDisplay(withGlpyh: accentGlyph, range: accent.indexRange, font: styleFont) + accentGlyphDisplay.ascent = glyphAscent; + accentGlyphDisplay.descent = glyphDescent; + accentGlyphDisplay.width = glyphWidth; + accentGlyphDisplay.position = accentPosition; + + var finalAccentee = accentee + if self.isSingleCharAccentee(accent) && (accent.subScript != nil || accent.superScript != nil) { + // Attach the super/subscripts to the accentee instead of the accent. + guard let innerList = accent.innerList, + !innerList.atoms.isEmpty else { return nil } + let innerAtom = innerList.atoms[0] + innerAtom.superScript = accent.superScript; + innerAtom.subScript = accent.subScript; + accent.superScript = nil; + accent.subScript = nil; + // Remake the accentee (now with sub/superscripts) + // Note: Latex adjusts the heights in case the height of the char is different in non-cramped mode. However this shouldn't be the case since cramping + // only affects fractions and superscripts. We skip adjusting the heights. + if let remadeAccentee = MTTypesetter.createLineForMathList(accent.innerList, font:font, style:style, cramped:cramped) { + finalAccentee = remadeAccentee + } + } + + let display = MTAccentDisplay(withAccent:accentGlyphDisplay, accentee:finalAccentee, range:accent.indexRange) + display.width = finalAccentee.width; + display.descent = finalAccentee.descent; + + // Calculate total ascent based on positioning + // For arrows: height already includes spacing, so ascent = height + glyphAscent + // For regular accents: ascent = accentee.ascent - delta + glyphAscent (existing formula) + let ascent = height + glyphAscent; + display.ascent = max(finalAccentee.ascent, ascent); + display.position = currentPosition; + + return display; + } + + /// Determines if an accent can use Unicode composition for inline rendering. + /// Unicode combining characters only work correctly for single base characters. + /// Multi-character expressions and arrow accents need font-based rendering. + func canUseUnicodeComposition(_ accent: MTAccent) -> Bool { + // Check if innerList has exactly one simple character + guard let innerList = accent.innerList, + innerList.atoms.count == 1, + let firstAtom = innerList.atoms.first else { + return false + } + + // Only allow simple variable/number atoms + guard firstAtom.type == .variable || firstAtom.type == .number else { + return false + } + + // Check that the atom doesn't have subscripts/superscripts + guard firstAtom.subScript == nil && firstAtom.superScript == nil else { + return false + } + + // Exclude arrow accents - they need stretching from font glyphs + // These Unicode combining characters only apply to single preceding characters + let arrowAccents: Set = [ + "\u{20D6}", // overleftarrow + "\u{20D7}", // overrightarrow / vec + "\u{20E1}" // overleftrightarrow + ] + + if arrowAccents.contains(accent.nucleus) { + return false + } + + return true + } + + // MARK: - Table + + let kBaseLineSkipMultiplier = CGFloat(1.2) // default base line stretch is 12 pt for 10pt font. + let kLineSkipMultiplier = CGFloat(0.1) // default is 1pt for 10pt font. + let kLineSkipLimitMultiplier = CGFloat(0) + let kJotMultiplier = CGFloat(0.3) // A jot is 3pt for a 10pt font. + + func makeTable(_ table:MTMathTable?) -> MTDisplay? { + let numColumns = table!.numColumns; + if numColumns == 0 || table!.numRows == 0 { + // Empty table + return MTMathListDisplay(withDisplays: [MTDisplay](), range: table!.indexRange) + } + + var columnWidths = [CGFloat](repeating: 0, count: numColumns) + let displays = self.typesetCells(table, columnWidths:&columnWidths) + + // Position all the columns in each row + var rowDisplays = [MTDisplay]() + for row in displays { + if let rowDisplay = self.makeRowWithColumns(row, forTable:table, columnWidths:columnWidths) { + rowDisplays.append(rowDisplay) + } + } + + // Position all the rows + self.positionRows(rowDisplays, forTable:table) + let tableDisplay = MTMathListDisplay(withDisplays: rowDisplays, range: table!.indexRange) + tableDisplay.position = currentPosition; + return tableDisplay; + } + + // Typeset every cell in the table. As a side-effect calculate the max column width of each column. + func typesetCells(_ table:MTMathTable?, columnWidths: inout [CGFloat]) -> [[MTDisplay]] { + var displays = [[MTDisplay]]() + for row in table!.cells { + var colDisplays = [MTDisplay]() + for i in 0.. MTMathListDisplay? { + var columnStart = CGFloat(0) + var rowRange = NSMakeRange(NSNotFound, 0); + for i in 0.. 0 { + if rowRange.location != NSNotFound { + rowRange = NSUnionRange(rowRange, col.range); + } else { + rowRange = col.range; + } + } + // If col.range is invalid or has zero length, skip it - don't update rowRange + + col.position = CGPointMake(cellPos, 0); + columnStart += colWidth + table!.interColumnSpacing * styleFont.mathTable!.muUnit; + } + + // If no valid ranges were found (all cells had zero-length ranges), use a synthetic range + // This represents the row conceptually spanning all its columns + if rowRange.location == NSNotFound { + rowRange = NSMakeRange(0, cols.count); + } + + // Create a display for the row + let rowDisplay = MTMathListDisplay(withDisplays: cols, range:rowRange) + return rowDisplay + } + + func positionRows(_ rows:[MTDisplay], forTable table:MTMathTable?) { + // Position the rows + // We will first position the rows starting from 0 and then in the second pass center the whole table vertically. + var currPos = CGFloat(0) + let openup = table!.interRowAdditionalSpacing * kJotMultiplier * styleFont.fontSize; + let baselineSkip = openup + kBaseLineSkipMultiplier * styleFont.fontSize; + let lineSkip = openup + kLineSkipMultiplier * styleFont.fontSize; + let lineSkipLimit = openup + kLineSkipLimitMultiplier * styleFont.fontSize; + var prevRowDescent = CGFloat(0) + var ascent = CGFloat(0) + var first = true + for row in rows { + if first { + row.position = CGPointZero; + ascent += row.ascent; + first = false; + } else { + var skip = baselineSkip; + if (skip - (prevRowDescent + row.ascent) < lineSkipLimit) { + // rows are too close to each other. Space them apart further + skip = prevRowDescent + row.ascent + lineSkip; + } + // We are going down so we decrease the y value. + currPos -= skip; + row.position = CGPointMake(0, currPos); + } + prevRowDescent = row.descent; + } + + // Vertically center the whole structure around the axis + // The descent of the structure is the position of the last row + // plus the descent of the last row. + let descent = -currPos + prevRowDescent; + let shiftDown = 0.5*(ascent - descent) - styleFont.mathTable!.axisHeight; + + for row in rows { + row.position = CGPointMake(row.position.x, row.position.y - shiftDown); + } + } +} diff --git a/third-party/SwiftMath/Sources/MathRender/MTUnicode.swift b/third-party/SwiftMath/Sources/MathRender/MTUnicode.swift new file mode 100755 index 0000000000..a1fc48d41c --- /dev/null +++ b/third-party/SwiftMath/Sources/MathRender/MTUnicode.swift @@ -0,0 +1,89 @@ +// +// Created by Mike Griebling on 2022-12-31. +// Translated from an Objective-C implementation by Kostub Deshmukh. +// +// This software may be modified and distributed under the terms of the +// MIT license. See the LICENSE file for details. +// + +import Foundation + +public struct UnicodeSymbol { + static let multiplication = "\u{00D7}" + static let division = "\u{00F7}" + static let fractionSlash = "\u{2044}" + static let whiteSquare = "\u{25A1}" + static let blackSquare = "\u{25A0}" + static let lessEqual = "\u{2264}" + static let greaterEqual = "\u{2265}" + static let notEqual = "\u{2260}" + static let squareRoot = "\u{221A}" // \sqrt + static let cubeRoot = "\u{221B}" + static let infinity = "\u{221E}" // \infty + static let angle = "\u{2220}" // \angle + static let degree = "\u{00B0}" // \circ + + static let capitalGreekStart = UInt32(0x0391) + static let capitalGreekEnd = UInt32(0x03A9) + static let lowerGreekStart = UInt32(0x03B1) + static let lowerGreekEnd = UInt32(0x03C9) + static let planksConstant = UInt32(0x210e) + static let lowerItalicStart = UInt32(0x1D44E) + static let capitalItalicStart = UInt32(0x1D434) + static let greekLowerItalicStart = UInt32(0x1D6FC) + static let greekCapitalItalicStart = UInt32(0x1D6E2) + static let greekSymbolItalicStart = UInt32(0x1D716) + + static let mathCapitalBoldStart = UInt32(0x1D400) + static let mathLowerBoldStart = UInt32(0x1D41A) + static let greekCapitalBoldStart = UInt32(0x1D6A8) + static let greekLowerBoldStart = UInt32(0x1D6C2) + static let greekSymbolBoldStart = UInt32(0x1D6DC) + static let numberBoldStart = UInt32(0x1D7CE) + + static let mathCapitalBoldItalicStart = UInt32(0x1D468) + static let mathLowerBoldItalicStart = UInt32(0x1D482) + static let greekCapitalBoldItalicStart = UInt32(0x1D71C) + static let greekLowerBoldItalicStart = UInt32(0x1D736) + static let greekSymbolBoldItalicStart = UInt32(0x1D750) + + static let mathCapitalScriptStart = UInt32(0x1D49C) + static let mathCapitalTTStart = UInt32(0x1D670) + static let mathLowerTTStart = UInt32(0x1D68A) + static let numberTTStart = UInt32(0x1D7F6) + static let mathCapitalSansSerifStart = UInt32(0x1D5A0) + static let mathLowerSansSerifStart = UInt32(0x1D5BA) + static let numberSansSerifStart = UInt32(0x1D7E2) + static let mathCapitalFrakturStart = UInt32(0x1D504) + static let mathLowerFrakturStart = UInt32(0x1D51E) + static let mathCapitalBlackboardStart = UInt32(0x1D538) + static let mathLowerBlackboardStart = UInt32(0x1D552) + static let numberBlackboardStart = UInt32(0x1D7D8) +} + +extension Character { + + var utf32Char: UTF32Char { self.unicodeScalars.map { $0.value }.reduce(0, +) } + var isLowerEnglish : Bool { self >= "a" && self <= "z" } + var isUpperEnglish : Bool { self >= "A" && self <= "Z" } + var isNumber : Bool { self >= "0" && self <= "9" } + + var isLowerGreek : Bool { + let uch = self.utf32Char + return uch >= UnicodeSymbol.lowerGreekStart && uch <= UnicodeSymbol.lowerGreekEnd + } + + var isCapitalGreek : Bool { + let uch = self.utf32Char + return uch >= UnicodeSymbol.capitalGreekStart && uch <= UnicodeSymbol.capitalGreekEnd + } + + var greekSymbolOrder : UInt32? { + let greekSymbols : [UTF32Char] = [0x03F5, 0x03D1, 0x03F0, 0x03D5, 0x03F1, 0x03D6] + let index = greekSymbols.firstIndex(of: self.utf32Char) + if let pos = index { return UInt32(pos) } + return nil + } + + var isGreekSymbol : Bool { self.greekSymbolOrder != nil } +} diff --git a/third-party/SwiftMath/Sources/MathRender/RWLock.swift b/third-party/SwiftMath/Sources/MathRender/RWLock.swift new file mode 100644 index 0000000000..ccca3976e0 --- /dev/null +++ b/third-party/SwiftMath/Sources/MathRender/RWLock.swift @@ -0,0 +1,58 @@ +import Foundation + +final class RWLock { + init() { + pthread_rwlock_init(&lock, nil) + } + + deinit { + pthread_rwlock_destroy(&lock) + } + + func read(_ block: () -> T) -> T { + pthread_rwlock_rdlock(&lock) + defer { pthread_rwlock_unlock(&lock) } + return block() + } + + func readWrite(_ block: () -> T) -> T { + pthread_rwlock_wrlock(&lock) + defer { pthread_rwlock_unlock(&lock) } + return block() + } + + private var lock = pthread_rwlock_t() +} + +@propertyWrapper +struct RWLocked { + init(wrappedValue: T) { + value = wrappedValue + } + + var wrappedValue: T { + get { + lock.read { + value + } + } + set { + lock.readWrite { + value = newValue + } + } + } + + @discardableResult + mutating func readWrite(_ block: (inout T) -> Void) -> (oldValue: T, newValue: T) { + lock.readWrite { + let old = value + block(&value) + return (old, value) + } + } + + private var value: T + private let lock = RWLock() +} + diff --git a/third-party/SwiftMath/Sources/MathRender/Tokenization/MTAtomTokenizer.swift b/third-party/SwiftMath/Sources/MathRender/Tokenization/MTAtomTokenizer.swift new file mode 100644 index 0000000000..2a76a661a4 --- /dev/null +++ b/third-party/SwiftMath/Sources/MathRender/Tokenization/MTAtomTokenizer.swift @@ -0,0 +1,1145 @@ +// +// MTAtomTokenizer.swift +// SwiftMath +// +// Created by Claude Code on 2025-12-16. +// This software may be modified and distributed under the terms of the +// MIT license. See the LICENSE file for details. +// + +import Foundation +import CoreGraphics + +/// Tokenizes MTMathAtom lists into breakable elements +class MTAtomTokenizer { + + // MARK: - Properties + + let font: MTFont + let style: MTLineStyle + let cramped: Bool + let maxWidth: CGFloat + let widthCalculator: MTElementWidthCalculator + let displayRenderer: MTDisplayPreRenderer + + // MARK: - Initialization + + init(font: MTFont, style: MTLineStyle, cramped: Bool = false, maxWidth: CGFloat = 0) { + self.font = font + self.style = style + self.cramped = cramped + self.maxWidth = maxWidth + self.widthCalculator = MTElementWidthCalculator(font: font, style: style) + self.displayRenderer = MTDisplayPreRenderer(font: font, style: style, cramped: cramped) + } + + // MARK: - Main Tokenization + + /// Tokenize a list of atoms into breakable elements + func tokenize(_ atoms: [MTMathAtom]) -> [MTBreakableElement] { + var elements: [MTBreakableElement] = [] + var index = 0 + var currentStyle = self.style + + while index < atoms.count { + let atom = atoms[index] + let prevAtom = index > 0 ? atoms[index - 1] : nil + + // Check for style change atoms + if atom.type == .style, let styleAtom = atom as? MTMathStyle { + // Update style for subsequent atoms + currentStyle = styleAtom.style + index += 1 + continue + } + + // Create a tokenizer with the current style for this atom + let atomTokenizer: MTAtomTokenizer + if currentStyle != self.style { + atomTokenizer = MTAtomTokenizer(font: font, style: currentStyle, cramped: cramped, maxWidth: maxWidth) + } else { + atomTokenizer = self + } + + // Handle scripts (subscript/superscript) - these must be grouped with their base + if atom.superScript != nil || atom.subScript != nil { + let baseElements = atomTokenizer.tokenizeAtomWithScripts(atom, prevAtom: prevAtom, atomIndex: index, allAtoms: atoms) + elements.append(contentsOf: baseElements) + } else { + // Check if this is a multi-character text atom that needs character-level tokenization + let isTextAtom = atom.fontStyle == .roman + let isMultiChar = atom.nucleus.count > 1 + + if isTextAtom && isMultiChar { + // Break down multi-character text into individual characters for punctuation rules + let charElements = atomTokenizer.tokenizeMultiCharText(atom, prevElements: elements, atomIndex: index, allAtoms: atoms) + elements.append(contentsOf: charElements) + } else { + // Regular atom without scripts + if let element = atomTokenizer.tokenizeAtom(atom, prevAtom: prevAtom, atomIndex: index, allAtoms: atoms) { + elements.append(element) + } + } + } + + index += 1 + } + + return elements + } + + // MARK: - Atom Tokenization + + /// Tokenize a single atom (without scripts) + private func tokenizeAtom(_ atom: MTMathAtom, prevAtom: MTMathAtom?, atomIndex: Int, allAtoms: [MTMathAtom]) -> MTBreakableElement? { + switch atom.type { + // Simple text and variables + case .ordinary, .variable, .number: + return tokenizeTextAtom(atom, prevAtom: prevAtom, atomIndex: atomIndex, allAtoms: allAtoms) + + // Operators + case .binaryOperator, .relation, .unaryOperator: + return tokenizeOperator(atom, prevAtom: prevAtom, atomIndex: atomIndex) + + // Delimiters + case .open: + return tokenizeOpenDelimiter(atom, prevAtom: prevAtom, atomIndex: atomIndex) + + case .close: + return tokenizeCloseDelimiter(atom, prevAtom: prevAtom, atomIndex: atomIndex) + + // Punctuation + case .punctuation: + return tokenizePunctuation(atom, prevAtom: prevAtom, atomIndex: atomIndex) + + // Complex structures (atomic) + case .fraction: + return tokenizeFraction(atom as! MTFraction, prevAtom: prevAtom, atomIndex: atomIndex) + + case .radical: + return tokenizeRadical(atom as! MTRadical, prevAtom: prevAtom, atomIndex: atomIndex) + + case .largeOperator: + return tokenizeLargeOperator(atom as! MTLargeOperator, prevAtom: prevAtom, atomIndex: atomIndex) + + case .accent: + return tokenizeAccent(atom as! MTAccent, prevAtom: prevAtom, atomIndex: atomIndex, allAtoms: allAtoms) + + case .underline: + return tokenizeUnderline(atom as! MTUnderLine, prevAtom: prevAtom, atomIndex: atomIndex) + + case .overline: + return tokenizeOverline(atom as! MTOverLine, prevAtom: prevAtom, atomIndex: atomIndex) + + case .table: + return tokenizeTable(atom as! MTMathTable, prevAtom: prevAtom, atomIndex: atomIndex) + + case .inner: + return tokenizeInner(atom as! MTInner, prevAtom: prevAtom, atomIndex: atomIndex) + + // Spacing + case .space: + return tokenizeSpace(atom, prevAtom: prevAtom, atomIndex: atomIndex) + + // Style changes - these don't create elements + case .style: + return nil + + // Color - extract inner content with color attribute + case .color, .colorBox, .textcolor: + // For now, treat as ordinary (color will be handled in display generation) + return tokenizeTextAtom(atom, prevAtom: prevAtom, atomIndex: atomIndex, allAtoms: allAtoms) + + default: + // Treat unknown types as ordinary + return tokenizeTextAtom(atom, prevAtom: prevAtom, atomIndex: atomIndex, allAtoms: allAtoms) + } + } + + // MARK: - Text Atom Tokenization + + private func tokenizeTextAtom(_ atom: MTMathAtom, prevAtom: MTMathAtom?, atomIndex: Int, allAtoms: [MTMathAtom]) -> MTBreakableElement? { + let text = atom.nucleus + guard !text.isEmpty else { return nil } + + // Calculate width + let width = widthCalculator.measureText(text) + + // Calculate ascent/descent (approximate using font metrics) + let ascent = font.mathTable?.axisHeight ?? font.fontSize * 0.5 + let descent = font.fontSize * 0.2 + let height = ascent + descent + + // Determine break rules using Unicode word boundary detection + var isBreakBefore = true + var isBreakAfter = true + var penaltyBefore = MTBreakPenalty.good + var penaltyAfter = MTBreakPenalty.good + + let isTextAtom = atom.fontStyle == .roman + + // Only apply word boundary logic to text atoms (not math variables) + if isTextAtom { + // First apply punctuation rules for single-character text + // This handles cases where punctuation appears in roman text rather than as separate punctuation atoms + if text.count == 1, let char = text.first { + let (punctBreakBefore, punctBreakAfter, punctPenaltyBefore, punctPenaltyAfter) = punctuationBreakRules(char) + + // Apply punctuation rules + isBreakBefore = punctBreakBefore + penaltyBefore = punctPenaltyBefore + isBreakAfter = punctBreakAfter + penaltyAfter = punctPenaltyAfter + } + + // Then apply word boundary logic - this ANDs with punctuation rules + // Both rules must allow breaking for a break to be permitted + + // Check if we should break BEFORE this atom + if let prevAtom = prevAtom { + // Handle previous accent atoms (e.g., "é" before "r" in "bactéries") + if prevAtom.type == .accent && isTextLetterAtom(prevAtom) { + // Previous is a text accent - don't break if current is a letter + if text.first?.isLetter == true { + isBreakBefore = false + penaltyBefore = MTBreakPenalty.never + } + } else if prevAtom.fontStyle == .roman { + let prevText = prevAtom.nucleus + if !prevText.isEmpty && !text.isEmpty { + // Use Unicode word boundary detection + if !hasWordBoundaryBetween(prevText, and: text) { + // No word boundary = we're in the middle of a word + isBreakBefore = false + penaltyBefore = MTBreakPenalty.never + } + } + } + } + + // Check if we should break AFTER this atom + if atomIndex + 1 < allAtoms.count { + let nextAtom = allAtoms[atomIndex + 1] + // Handle next accent atoms (e.g., "t" before "é" in "bactéries") + if nextAtom.type == .accent && isTextLetterAtom(nextAtom) { + // Next is a text accent - don't break if current is a letter + if text.last?.isLetter == true { + isBreakAfter = false + penaltyAfter = MTBreakPenalty.never + } + } else if nextAtom.fontStyle == .roman { + let nextText = nextAtom.nucleus + if !text.isEmpty && !nextText.isEmpty { + // Use Unicode word boundary detection + if !hasWordBoundaryBetween(text, and: nextText) { + // No word boundary = next atom is part of same word + isBreakAfter = false + penaltyAfter = MTBreakPenalty.never + } + } + } + } + } + + return MTBreakableElement( + content: .text(text), + width: width, + height: height, + ascent: ascent, + descent: descent, + isBreakBefore: isBreakBefore, + isBreakAfter: isBreakAfter, + penaltyBefore: penaltyBefore, + penaltyAfter: penaltyAfter, + groupId: nil, + parentId: nil, + originalAtom: atom, + indexRange: atom.indexRange, + color: nil, + backgroundColor: nil, + indivisible: false + ) + } + + /// Tokenize a multi-character text atom into individual character elements + /// This enables character-level line breaking with proper punctuation rules + private func tokenizeMultiCharText(_ atom: MTMathAtom, prevElements: [MTBreakableElement], atomIndex: Int, allAtoms: [MTMathAtom]) -> [MTBreakableElement] { + let text = atom.nucleus + guard text.count > 1 else { return [] } + + let debugTokenization = !"".isEmpty // Enable to debug text tokenization + if debugTokenization { + print("\n=== Tokenizing multi-char text: '\(text)' ===") + } + + var charElements: [MTBreakableElement] = [] + let characters = Array(text) + + for (charIndex, char) in characters.enumerated() { + let charString = String(char) + + // Calculate width for this character + let width = widthCalculator.measureText(charString) + + // Calculate ascent/descent (approximate using font metrics) + let ascent = font.mathTable?.axisHeight ?? font.fontSize * 0.5 + let descent = font.fontSize * 0.2 + let height = ascent + descent + + // Determine break rules for this character + let (isBreakBefore, isBreakAfter, penaltyBefore, penaltyAfter) = characterBreakRules( + char: char, + prevChar: charIndex > 0 ? characters[charIndex - 1] : nil, + nextChar: charIndex < characters.count - 1 ? characters[charIndex + 1] : nil, + isFirstInAtom: charIndex == 0, + isLastInAtom: charIndex == characters.count - 1, + prevElements: prevElements, + nextAtom: atomIndex + 1 < allAtoms.count ? allAtoms[atomIndex + 1] : nil + ) + + let element = MTBreakableElement( + content: .text(charString), + width: width, + height: height, + ascent: ascent, + descent: descent, + isBreakBefore: isBreakBefore, + isBreakAfter: isBreakAfter, + penaltyBefore: penaltyBefore, + penaltyAfter: penaltyAfter, + groupId: nil, + parentId: nil, + originalAtom: atom, + indexRange: atom.indexRange, + color: nil, + backgroundColor: nil, + indivisible: false + ) + + if debugTokenization { + print(" [\(charIndex)] '\(charString)' breakBefore=\(isBreakBefore) breakAfter=\(isBreakAfter) penaltyBefore=\(penaltyBefore) penaltyAfter=\(penaltyAfter) width=\(width)") + } + + charElements.append(element) + } + + return charElements + } + + /// Determine break rules for a character in a multi-character text string + private func characterBreakRules( + char: Character, + prevChar: Character?, + nextChar: Character?, + isFirstInAtom: Bool, + isLastInAtom: Bool, + prevElements: [MTBreakableElement], + nextAtom: MTMathAtom? + ) -> (isBreakBefore: Bool, isBreakAfter: Bool, penaltyBefore: Int, penaltyAfter: Int) { + + // Apply punctuation rules + let (punctBreakBefore, punctBreakAfter, punctPenaltyBefore, punctPenaltyAfter) = punctuationBreakRules(char) + + var isBreakBefore = punctBreakBefore + var isBreakAfter = punctBreakAfter + var penaltyBefore = punctPenaltyBefore + var penaltyAfter = punctPenaltyAfter + + // Apply word boundary logic + // Don't break in the middle of a word (but CJK characters CAN break between each other) + if let prevChar = prevChar { + if char.isLetter && prevChar.isLetter { + // Check if either character is CJK - CJK allows breaks between characters + let isCJKBreak = isCJKCharacter(char) || isCJKCharacter(prevChar) + + if !isCJKBreak { + // Both letters in same non-CJK script - middle of word, don't break + isBreakBefore = false + penaltyBefore = MTBreakPenalty.never + } + // else: At least one is CJK - allow break (keep punctBreakBefore value) + } else if prevChar == "'" || prevChar == "-" { + // Apostrophe or hyphen - part of word + isBreakBefore = false + penaltyBefore = MTBreakPenalty.never + } + } else if isFirstInAtom { + // First character - check against previous element + if let lastElement = prevElements.last { + switch lastElement.content { + case .text(let prevText): + if let prevLastChar = prevText.last { + if char.isLetter && prevLastChar.isLetter { + // Check if either character is CJK + let isCJKBreak = isCJKCharacter(char) || isCJKCharacter(prevLastChar) + + if !isCJKBreak { + // Both non-CJK letters - don't break + isBreakBefore = false + penaltyBefore = MTBreakPenalty.never + } + } else if prevLastChar == "'" || prevLastChar == "-" { + isBreakBefore = false + penaltyBefore = MTBreakPenalty.never + } + } + case .display: + // Check if previous element is a text-mode accent (e.g., "é") + // Accents in text mode should not allow breaks after them if current is a letter + if lastElement.originalAtom.type == .accent, + isTextLetterAtom(lastElement.originalAtom), + char.isLetter { + isBreakBefore = false + penaltyBefore = MTBreakPenalty.never + } + default: + break + } + } + } + + if let nextChar = nextChar { + if char.isLetter && nextChar.isLetter { + // Check if either character is CJK + let isCJKBreak = isCJKCharacter(char) || isCJKCharacter(nextChar) + + if !isCJKBreak { + // Both non-CJK letters - middle of word, don't break + isBreakAfter = false + penaltyAfter = MTBreakPenalty.never + } + } else if nextChar == "'" || nextChar == "-" { + // Before apostrophe or hyphen - part of word + isBreakAfter = false + penaltyAfter = MTBreakPenalty.never + } + } else if isLastInAtom { + // Last character - check against next atom + if let nextAtom = nextAtom { + // Handle next accent atoms (e.g., "t" before "é" in "bactéries") + if nextAtom.type == .accent && isTextLetterAtom(nextAtom) { + if char.isLetter { + isBreakAfter = false + penaltyAfter = MTBreakPenalty.never + } + } else if nextAtom.fontStyle == .roman, + let nextFirstChar = nextAtom.nucleus.first { + if char.isLetter && nextFirstChar.isLetter { + // Check if either character is CJK + let isCJKBreak = isCJKCharacter(char) || isCJKCharacter(nextFirstChar) + + if !isCJKBreak { + // Both non-CJK letters - don't break + isBreakAfter = false + penaltyAfter = MTBreakPenalty.never + } + } + } + } + } + + return (isBreakBefore, isBreakAfter, penaltyBefore, penaltyAfter) + } + + // MARK: - Word Boundary Detection + + /// Determines if a character is a CJK (Chinese, Japanese, Korean) character + /// CJK characters can break between each other even though they are technically "letters" + private func isCJKCharacter(_ char: Character) -> Bool { + guard let scalar = char.unicodeScalars.first else { return false } + let value = scalar.value + + // CJK Unified Ideographs and extensions + return (value >= 0x4E00 && value <= 0x9FFF) || // CJK Unified Ideographs (most common Chinese/Japanese kanji) + (value >= 0x3400 && value <= 0x4DBF) || // CJK Unified Ideographs Extension A + (value >= 0x20000 && value <= 0x2A6DF) || // CJK Unified Ideographs Extension B + (value >= 0x3040 && value <= 0x309F) || // Hiragana (Japanese) + (value >= 0x30A0 && value <= 0x30FF) || // Katakana (Japanese) + (value >= 0xAC00 && value <= 0xD7AF) // Hangul Syllables (Korean) + } + + /// Determines if there's a word boundary between two text fragments + /// Combines Unicode word segmentation with special handling for contractions and hyphenated words + private func hasWordBoundaryBetween(_ text1: String, and text2: String) -> Bool { + // RULE 1: Check for apostrophes and hyphens between letters (contractions and hyphenated words) + // These should NOT be treated as word boundaries even though Unicode does + if let lastChar1 = text1.last, let firstChar2 = text2.first { + // Pattern: letter + apostrophe|hyphen + letter → NOT a word boundary + if lastChar1.isLetter && (firstChar2 == "'" || firstChar2 == "-") { + return false // Don't break before apostrophe/hyphen + } + if (lastChar1 == "'" || lastChar1 == "-") && firstChar2.isLetter { + return false // Don't break after apostrophe/hyphen + } + } + + // RULE 2: Use Unicode word boundary detection for everything else + // This properly handles: + // - International text (café, naïve, etc.) + // - Various Unicode whitespace characters + // - Em-dashes, ellipses, and other Unicode punctuation + // - Complex scripts (Thai, Japanese, etc.) + let combined = text1 + text2 + let junctionIndex = text1.endIndex + + var wordBoundaries: Set = [] + combined.enumerateSubstrings(in: combined.startIndex.. PunctuationClass { + let scalar = String(char).unicodeScalars.first?.value ?? 0 + + // Latin opening punctuation - never break after + if "([{".contains(char) { return .openingPunctuation } + + // Latin closing punctuation and sentence-ending - never break before + if ")]}".contains(char) { return .closingPunctuation } + if ".,;:!?".contains(char) { return .sentenceEnding } + + // Latin quotation marks - opening quotes + // U+0022 " QUOTATION MARK, U+0027 ' APOSTROPHE + // U+2018 ' LEFT SINGLE QUOTATION MARK, U+201C " LEFT DOUBLE QUOTATION MARK + // U+00AB « LEFT-POINTING DOUBLE ANGLE QUOTATION MARK, U+2039 ‹ SINGLE LEFT-POINTING ANGLE QUOTATION MARK + if scalar == 0x0022 || scalar == 0x0027 || // Basic quotes + scalar == 0x2018 || scalar == 0x201C || // Curly left quotes + scalar == 0x00AB || scalar == 0x2039 { // Guillemets + return .openingPunctuation + } + + // Latin quotation marks - closing quotes + // U+2019 ' RIGHT SINGLE QUOTATION MARK, U+201D " RIGHT DOUBLE QUOTATION MARK + // U+00BB » RIGHT-POINTING DOUBLE ANGLE QUOTATION MARK, U+203A › SINGLE RIGHT-POINTING ANGLE QUOTATION MARK + if scalar == 0x2019 || scalar == 0x201D || // Curly right quotes + scalar == 0x00BB || scalar == 0x203A { // Guillemets + return .closingPunctuation + } + + // CJK opening brackets (禁則: line-start prohibited) + // Japanese/Chinese full-width brackets and corner brackets + if "「『（【〔〈《".contains(char) { + return .openingPunctuation + } + + // CJK closing brackets (禁則: line-end prohibited) + if "」』）】〕〉》".contains(char) { + return .closingPunctuation + } + + // CJK sentence-ending punctuation (禁則: line-end prohibited) + // Japanese/Chinese full-width periods, commas, and other punctuation + if "。、！？：；".contains(char) { + return .sentenceEnding + } + + // CJK small kana (禁則: line-end prohibited) + // These are smaller versions of hiragana/katakana that must not start a line + if "ぁぃぅぇぉっゃゅょゎァィゥェォッャュョヮ".contains(char) { + return .cjkSmallKana + } + + // CJK iteration marks (禁則: line-end prohibited) + if "ゝゞヽヾ々〻".contains(char) { + return .cjkSmallKana // Same rules as small kana + } + + // CJK prolonged sound mark (禁則: line-end prohibited) + if char == "ー" { + return .cjkSmallKana // Same rules as small kana + } + + return .neutral + } + + /// Determine break rules for punctuation based on its classification + private func punctuationBreakRules(_ char: Character) -> (isBreakBefore: Bool, isBreakAfter: Bool, penaltyBefore: Int, penaltyAfter: Int) { + let classification = classifyPunctuation(char) + + switch classification { + case .openingPunctuation: + // Opening punctuation: can break before, NEVER after + // Examples: ( [ { " ' « 「『 + return (true, false, MTBreakPenalty.good, MTBreakPenalty.never) + + case .closingPunctuation: + // Closing punctuation: NEVER before, can break after + // Examples: ) ] } " ' » 」』 + return (false, true, MTBreakPenalty.never, MTBreakPenalty.good) + + case .sentenceEnding: + // Sentence-ending punctuation: NEVER before, good break after + // Examples: . , ; : ! ? 。、 + return (false, true, MTBreakPenalty.never, MTBreakPenalty.best) + + case .cjkSmallKana: + // CJK small kana and iteration marks: NEVER before, can break after + // Examples: っゃゅょゎ ゝゞ ー + return (false, true, MTBreakPenalty.never, MTBreakPenalty.good) + + case .neutral: + // Other punctuation: use default rules + return (true, true, MTBreakPenalty.good, MTBreakPenalty.good) + } + } + + // MARK: - Operator Tokenization + + private func tokenizeOperator(_ atom: MTMathAtom, prevAtom: MTMathAtom?, atomIndex: Int) -> MTBreakableElement? { + let op = atom.nucleus + guard !op.isEmpty else { return nil } + + // Calculate width with operator spacing + let width = widthCalculator.measureOperator(op, type: atom.type) + + let ascent = font.fontSize * 0.5 + let descent = font.fontSize * 0.2 + let height = ascent + descent + + return MTBreakableElement( + content: .operator(op, type: atom.type), + width: width, + height: height, + ascent: ascent, + descent: descent, + isBreakBefore: true, + isBreakAfter: true, + penaltyBefore: MTBreakPenalty.best, // Operators are best break points + penaltyAfter: MTBreakPenalty.best, + groupId: nil, + parentId: nil, + originalAtom: atom, + indexRange: atom.indexRange, + color: nil, + backgroundColor: nil, + indivisible: false + ) + } + + // MARK: - Delimiter Tokenization + + private func tokenizeOpenDelimiter(_ atom: MTMathAtom, prevAtom: MTMathAtom?, atomIndex: Int) -> MTBreakableElement? { + let delimiter = atom.nucleus + let width = widthCalculator.measureText(delimiter) + let ascent = font.fontSize * 0.6 + let descent = font.fontSize * 0.2 + + return MTBreakableElement( + content: .text(delimiter), + width: width, + height: ascent + descent, + ascent: ascent, + descent: descent, + isBreakBefore: true, + isBreakAfter: false, // NEVER break after open delimiter + penaltyBefore: MTBreakPenalty.acceptable, + penaltyAfter: MTBreakPenalty.bad, + groupId: nil, + parentId: nil, + originalAtom: atom, + indexRange: atom.indexRange, + color: nil, + backgroundColor: nil, + indivisible: false + ) + } + + private func tokenizeCloseDelimiter(_ atom: MTMathAtom, prevAtom: MTMathAtom?, atomIndex: Int) -> MTBreakableElement? { + let delimiter = atom.nucleus + let width = widthCalculator.measureText(delimiter) + let ascent = font.fontSize * 0.6 + let descent = font.fontSize * 0.2 + + return MTBreakableElement( + content: .text(delimiter), + width: width, + height: ascent + descent, + ascent: ascent, + descent: descent, + isBreakBefore: false, // NEVER break before close delimiter + isBreakAfter: true, + penaltyBefore: MTBreakPenalty.bad, + penaltyAfter: MTBreakPenalty.acceptable, + groupId: nil, + parentId: nil, + originalAtom: atom, + indexRange: atom.indexRange, + color: nil, + backgroundColor: nil, + indivisible: false + ) + } + + // MARK: - Punctuation Tokenization + + private func tokenizePunctuation(_ atom: MTMathAtom, prevAtom: MTMathAtom?, atomIndex: Int) -> MTBreakableElement? { + let punct = atom.nucleus + let width = widthCalculator.measureText(punct) + let ascent = font.fontSize * 0.5 + let descent = font.fontSize * 0.2 + + // Apply proper punctuation breaking rules based on character classification + // Default rules for multi-character punctuation or empty + var isBreakBefore = false + var isBreakAfter = true + var penaltyBefore = MTBreakPenalty.bad + var penaltyAfter = MTBreakPenalty.good + + // For single-character punctuation, use classification rules + if punct.count == 1, let char = punct.first { + (isBreakBefore, isBreakAfter, penaltyBefore, penaltyAfter) = punctuationBreakRules(char) + } + + return MTBreakableElement( + content: .text(punct), + width: width, + height: ascent + descent, + ascent: ascent, + descent: descent, + isBreakBefore: isBreakBefore, + isBreakAfter: isBreakAfter, + penaltyBefore: penaltyBefore, + penaltyAfter: penaltyAfter, + groupId: nil, + parentId: nil, + originalAtom: atom, + indexRange: atom.indexRange, + color: nil, + backgroundColor: nil, + indivisible: false + ) + } + + // MARK: - Script Tokenization + + private func tokenizeAtomWithScripts(_ atom: MTMathAtom, prevAtom: MTMathAtom?, atomIndex: Int, allAtoms: [MTMathAtom]) -> [MTBreakableElement] { + var elements: [MTBreakableElement] = [] + let groupId = UUID() // All elements in this group must stay together + + // First, create the base element + if let baseElement = tokenizeAtom(atom, prevAtom: prevAtom, atomIndex: atomIndex, allAtoms: allAtoms) { + var modifiedBase = baseElement + // Modify to be part of group + modifiedBase = MTBreakableElement( + content: baseElement.content, + width: baseElement.width, + height: baseElement.height, + ascent: baseElement.ascent, + descent: baseElement.descent, + isBreakBefore: baseElement.isBreakBefore, + isBreakAfter: false, // Cannot break after base - must include scripts + penaltyBefore: baseElement.penaltyBefore, + penaltyAfter: MTBreakPenalty.never, + groupId: groupId, + parentId: nil, + originalAtom: baseElement.originalAtom, + indexRange: baseElement.indexRange, + color: baseElement.color, + backgroundColor: baseElement.backgroundColor, + indivisible: baseElement.indivisible + ) + elements.append(modifiedBase) + } + + // Add superscript first if present (matches legacy typesetter order) + if let superScript = atom.superScript { + if let scriptDisplay = displayRenderer.renderScript(superScript, isSuper: true) { + let scriptElement = MTBreakableElement( + content: .script(scriptDisplay, isSuper: true), + width: scriptDisplay.width, + height: scriptDisplay.ascent + scriptDisplay.descent, + ascent: scriptDisplay.ascent, + descent: scriptDisplay.descent, + isBreakBefore: false, // Must stay with base + isBreakAfter: atom.subScript == nil, // Can break after if last script + penaltyBefore: MTBreakPenalty.never, + penaltyAfter: atom.subScript == nil ? MTBreakPenalty.good : MTBreakPenalty.never, + groupId: groupId, + parentId: nil, + originalAtom: atom, + indexRange: atom.indexRange, + color: nil, + backgroundColor: nil, + indivisible: true + ) + elements.append(scriptElement) + } + } + + // Add subscript after superscript (matches legacy typesetter order) + if let subScript = atom.subScript { + if let scriptDisplay = displayRenderer.renderScript(subScript, isSuper: false) { + let scriptElement = MTBreakableElement( + content: .script(scriptDisplay, isSuper: false), + width: scriptDisplay.width, + height: scriptDisplay.ascent + scriptDisplay.descent, + ascent: scriptDisplay.ascent, + descent: scriptDisplay.descent, + isBreakBefore: false, // Must stay with base + isBreakAfter: true, // Can break after subscript (it's always last) + penaltyBefore: MTBreakPenalty.never, + penaltyAfter: MTBreakPenalty.good, + groupId: groupId, + parentId: nil, + originalAtom: atom, + indexRange: atom.indexRange, + color: nil, + backgroundColor: nil, + indivisible: true + ) + elements.append(scriptElement) + } + } + + return elements + } + + // MARK: - Complex Structure Tokenization + + private func tokenizeFraction(_ fraction: MTFraction, prevAtom: MTMathAtom?, atomIndex: Int) -> MTBreakableElement? { + // Create a temporary typesetter to render the fraction + let typesetter = MTTypesetter(withFont: font, style: style, cramped: cramped, spaced: false) + guard let display = typesetter.makeFraction(fraction) else { return nil } + + return MTBreakableElement( + content: .display(display), + width: display.width, + height: display.ascent + display.descent, + ascent: display.ascent, + descent: display.descent, + isBreakBefore: true, + isBreakAfter: true, + penaltyBefore: MTBreakPenalty.moderate, + penaltyAfter: MTBreakPenalty.moderate, + groupId: nil, + parentId: nil, + originalAtom: fraction, + indexRange: fraction.indexRange, + color: nil, + backgroundColor: nil, + indivisible: true // Fractions are atomic + ) + } + + private func tokenizeRadical(_ radical: MTRadical, prevAtom: MTMathAtom?, atomIndex: Int) -> MTBreakableElement? { + let typesetter = MTTypesetter(withFont: font, style: style, cramped: cramped, spaced: false) + guard let display = typesetter.makeRadical(radical.radicand, range: radical.indexRange) else { return nil } + + // Add degree if present + if radical.degree != nil { + // Use .script style (71% size) instead of .scriptOfScript (50% size) + // This matches TeX standard for radical degrees + let degree = MTTypesetter.createLineForMathList(radical.degree, font: font, style: .script) + display.setDegree(degree, fontMetrics: font.mathTable) + } + + return MTBreakableElement( + content: .display(display), + width: display.width, + height: display.ascent + display.descent, + ascent: display.ascent, + descent: display.descent, + isBreakBefore: true, + isBreakAfter: true, + penaltyBefore: MTBreakPenalty.good, + penaltyAfter: MTBreakPenalty.good, + groupId: nil, + parentId: nil, + originalAtom: radical, + indexRange: radical.indexRange, + color: nil, + backgroundColor: nil, + indivisible: true // Radicals are atomic + ) + } + + private func tokenizeLargeOperator(_ op: MTLargeOperator, prevAtom: MTMathAtom?, atomIndex: Int) -> MTBreakableElement? { + // CRITICAL DISTINCTION: + // - If op.limits=true (e.g., \sum, \prod, \lim in text mode): Scripts go ABOVE/BELOW + // → makeLargeOp() creates MTLargeOpLimitsDisplay, which is self-contained + // → We should NOT clear scripts, let makeLargeOp() handle everything + // + // - If op.limits=false (e.g., \int in text mode): Scripts go TO THE SIDE + // → makeLargeOp() would create scripts via makeScripts(), causing duplication + // → We MUST clear scripts and let tokenizeAtomWithScripts() handle them separately + + let limits = op.limits && (style == .display || style == .text) + + let originalSuperScript = op.superScript + let originalSubScript = op.subScript + + // Only clear scripts for side-script operators (limits=false) + if !limits && (originalSuperScript != nil || originalSubScript != nil) { + op.superScript = nil + op.subScript = nil + } + + let typesetter = MTTypesetter(withFont: font, style: style, cramped: cramped, spaced: false) + guard let operatorDisplay = typesetter.makeLargeOp(op) else { + // Restore scripts before returning + op.superScript = originalSuperScript + op.subScript = originalSubScript + return nil + } + + // CRITICAL: Handle scripts based on positioning mode + if !limits { + // Side-script operators (limits=false): Restore scripts for tokenizeAtomWithScripts to handle + op.superScript = originalSuperScript + op.subScript = originalSubScript + } else { + // Limit operators (limits=true): Scripts are already rendered in MTLargeOpLimitsDisplay + // MUST clear them from atom to prevent tokenizeAtomWithScripts from rendering them again + op.superScript = nil + op.subScript = nil + } + + // CRITICAL: Handle italic correction (delta) for side-script operators + // When scripts are present and limits is false, the operator width is reduced by delta + // (see MTTypesetter.makeLargeOp line 1046-1050) + // Since we cleared scripts for side-script operators, makeLargeOp() didn't apply this reduction + var finalWidth = operatorDisplay.width + + if !limits && (originalSubScript != nil) { + // Get the italic correction for the operator glyph + if let glyphDisplay = operatorDisplay as? MTGlyphDisplay, + let mathTable = font.mathTable { + let delta = mathTable.getItalicCorrection(glyphDisplay.glyph) + finalWidth -= delta + } + } + + let finalDisplay = operatorDisplay + + return MTBreakableElement( + content: .display(finalDisplay), + width: finalWidth, + height: finalDisplay.ascent + finalDisplay.descent, + ascent: finalDisplay.ascent, + descent: finalDisplay.descent, + isBreakBefore: true, + isBreakAfter: true, + penaltyBefore: MTBreakPenalty.good, + penaltyAfter: MTBreakPenalty.good, + groupId: nil, + parentId: nil, + originalAtom: op, + indexRange: op.indexRange, + color: nil, + backgroundColor: nil, + indivisible: true + ) + } + + private func tokenizeAccent(_ accent: MTAccent, prevAtom: MTMathAtom?, atomIndex: Int, allAtoms: [MTMathAtom]) -> MTBreakableElement? { + let typesetter = MTTypesetter(withFont: font, style: style, cramped: cramped, spaced: false) + guard let display = typesetter.makeAccent(accent) else { return nil } + + // Determine break rules - accents in text mode should respect word boundaries + var isBreakBefore = true + var isBreakAfter = true + var penaltyBefore = MTBreakPenalty.good + var penaltyAfter = MTBreakPenalty.good + + // Check if this accent is in a text context (the accented character is roman text) + // An accent's innerList contains the base character(s) + let isTextAccent = accent.innerList?.atoms.first?.fontStyle == .roman + + if isTextAccent { + // Check previous atom - if it's a letter in text mode, don't break before + if let prevAtom = prevAtom { + let prevIsTextLetter = isTextLetterAtom(prevAtom) + if prevIsTextLetter { + isBreakBefore = false + penaltyBefore = MTBreakPenalty.never + } + } + + // Check next atom - if it's a letter in text mode, don't break after + if atomIndex + 1 < allAtoms.count { + let nextAtom = allAtoms[atomIndex + 1] + let nextIsTextLetter = isTextLetterAtom(nextAtom) + if nextIsTextLetter { + isBreakAfter = false + penaltyAfter = MTBreakPenalty.never + } + } + } + + return MTBreakableElement( + content: .display(display), + width: display.width, + height: display.ascent + display.descent, + ascent: display.ascent, + descent: display.descent, + isBreakBefore: isBreakBefore, + isBreakAfter: isBreakAfter, + penaltyBefore: penaltyBefore, + penaltyAfter: penaltyAfter, + groupId: nil, + parentId: nil, + originalAtom: accent, + indexRange: accent.indexRange, + color: nil, + backgroundColor: nil, + indivisible: true + ) + } + + /// Helper to check if an atom is a letter in text mode (roman style) + private func isTextLetterAtom(_ atom: MTMathAtom) -> Bool { + // For accent atoms, check their inner content FIRST + // (accent atom's nucleus contains the accent mark, not the letter) + if let accent = atom as? MTAccent { + if let firstInner = accent.innerList?.atoms.first { + return isTextLetterAtom(firstInner) + } + return false + } + // For regular text atoms with roman style + if atom.fontStyle == .roman { + // Check if the nucleus contains only letters + let nucleus = atom.nucleus + if !nucleus.isEmpty { + return nucleus.allSatisfy { $0.isLetter } + } + } + return false + } + + private func tokenizeUnderline(_ underline: MTUnderLine, prevAtom: MTMathAtom?, atomIndex: Int) -> MTBreakableElement? { + let typesetter = MTTypesetter(withFont: font, style: style, cramped: cramped, spaced: false) + guard let display = typesetter.makeUnderline(underline) else { return nil } + + return MTBreakableElement( + content: .display(display), + width: display.width, + height: display.ascent + display.descent, + ascent: display.ascent, + descent: display.descent, + isBreakBefore: true, + isBreakAfter: true, + penaltyBefore: MTBreakPenalty.good, + penaltyAfter: MTBreakPenalty.good, + groupId: nil, + parentId: nil, + originalAtom: underline, + indexRange: underline.indexRange, + color: nil, + backgroundColor: nil, + indivisible: true + ) + } + + private func tokenizeOverline(_ overline: MTOverLine, prevAtom: MTMathAtom?, atomIndex: Int) -> MTBreakableElement? { + let typesetter = MTTypesetter(withFont: font, style: style, cramped: cramped, spaced: false) + guard let display = typesetter.makeOverline(overline) else { return nil } + + return MTBreakableElement( + content: .display(display), + width: display.width, + height: display.ascent + display.descent, + ascent: display.ascent, + descent: display.descent, + isBreakBefore: true, + isBreakAfter: true, + penaltyBefore: MTBreakPenalty.good, + penaltyAfter: MTBreakPenalty.good, + groupId: nil, + parentId: nil, + originalAtom: overline, + indexRange: overline.indexRange, + color: nil, + backgroundColor: nil, + indivisible: true + ) + } + + private func tokenizeTable(_ table: MTMathTable, prevAtom: MTMathAtom?, atomIndex: Int) -> MTBreakableElement? { + let typesetter = MTTypesetter(withFont: font, style: style, cramped: cramped, spaced: false, maxWidth: maxWidth) + guard let display = typesetter.makeTable(table) else { return nil } + + return MTBreakableElement( + content: .display(display), + width: display.width, + height: display.ascent + display.descent, + ascent: display.ascent, + descent: display.descent, + isBreakBefore: true, + isBreakAfter: true, + penaltyBefore: MTBreakPenalty.moderate, + penaltyAfter: MTBreakPenalty.moderate, + groupId: nil, + parentId: nil, + originalAtom: table, + indexRange: table.indexRange, + color: nil, + backgroundColor: nil, + indivisible: true + ) + } + + private func tokenizeInner(_ inner: MTInner, prevAtom: MTMathAtom?, atomIndex: Int) -> MTBreakableElement? { + let typesetter = MTTypesetter(withFont: font, style: style, cramped: cramped, spaced: false) + guard let display = typesetter.makeLeftRight(inner) else { return nil } + + return MTBreakableElement( + content: .display(display), + width: display.width, + height: display.ascent + display.descent, + ascent: display.ascent, + descent: display.descent, + isBreakBefore: true, + isBreakAfter: true, + penaltyBefore: MTBreakPenalty.good, + penaltyAfter: MTBreakPenalty.good, + groupId: nil, + parentId: nil, + originalAtom: inner, + indexRange: inner.indexRange, + color: nil, + backgroundColor: nil, + indivisible: false + ) + } + + private func tokenizeSpace(_ atom: MTMathAtom, prevAtom: MTMathAtom?, atomIndex: Int) -> MTBreakableElement? { + // Space atoms typically don't participate in breaking + // They are rendered as-is + let width = widthCalculator.measureSpace(atom.type) + + return MTBreakableElement( + content: .space(width), + width: width, + height: 0, + ascent: 0, + descent: 0, + isBreakBefore: false, + isBreakAfter: false, + penaltyBefore: MTBreakPenalty.never, + penaltyAfter: MTBreakPenalty.never, + groupId: nil, + parentId: nil, + originalAtom: atom, + indexRange: atom.indexRange, + color: nil, + backgroundColor: nil, + indivisible: true + ) + } +} diff --git a/third-party/SwiftMath/Sources/MathRender/Tokenization/MTBreakableElement.swift b/third-party/SwiftMath/Sources/MathRender/Tokenization/MTBreakableElement.swift new file mode 100644 index 0000000000..163a86871f --- /dev/null +++ b/third-party/SwiftMath/Sources/MathRender/Tokenization/MTBreakableElement.swift @@ -0,0 +1,115 @@ +// +// MTBreakableElement.swift +// SwiftMath +// +// Created by Claude Code on 2025-12-16. +// This software may be modified and distributed under the terms of the +// MIT license. See the LICENSE file for details. +// + +import Foundation +import CoreGraphics + +// MARK: - MTElementContent + +/// Represents the content type of a breakable element +enum MTElementContent { + /// Simple text content + case text(String) + /// Pre-rendered display (fraction, radical, etc.) + case display(MTDisplay) + /// Math operator with spacing + case `operator`(String, type: MTMathAtomType) + /// Explicit spacing + case space(CGFloat) + /// Superscript or subscript display + case script(MTDisplay, isSuper: Bool) +} + +// MARK: - MTBreakableElement + +/// Represents a breakable element with pre-calculated width and break rules +struct MTBreakableElement { + // MARK: Display properties + + /// The content of this element + let content: MTElementContent + + /// Pre-calculated width (cached) + let width: CGFloat + + /// Height of the element + let height: CGFloat + + /// Distance from baseline to top + let ascent: CGFloat + + /// Distance from baseline to bottom + let descent: CGFloat + + // MARK: Breaking rules + + /// Can break BEFORE this element? + let isBreakBefore: Bool + + /// Can break AFTER this element? + let isBreakAfter: Bool + + /// Penalty for breaking before (0=good, 100=bad, 150=never) + let penaltyBefore: Int + + /// Penalty for breaking after (0=good, 100=bad, 150=never) + let penaltyAfter: Int + + // MARK: Relationship tracking + + /// Elements with same groupId must stay together + let groupId: UUID? + + /// Parent element ID (for scripts) + let parentId: UUID? + + // MARK: Source tracking + + /// Original atom this element was created from + let originalAtom: MTMathAtom + + /// Index range in the original math list + let indexRange: NSRange + + // MARK: Optional attributes + + /// Text color for this element + let color: MTColor? + + /// Background color for this element + let backgroundColor: MTColor? + + // MARK: Atomicity flag + + /// If true, NEVER break this element internally + let indivisible: Bool +} + +// MARK: - Penalty Constants + +/// Penalty values for line breaking decisions +enum MTBreakPenalty { + /// Best break points (operators, relations) + static let best = 0 + + /// Good break points (ordinary atoms, after scripts) + static let good = 10 + + /// Moderate penalty (before fractions, radicals) + static let moderate = 15 + + /// Acceptable break points + static let acceptable = 50 + + /// Bad break points (avoid if possible) + static let bad = 100 + + /// Never break here (grouped elements) + static let never = 150 +} diff --git a/third-party/SwiftMath/Sources/MathRender/Tokenization/MTDisplayGenerator.swift b/third-party/SwiftMath/Sources/MathRender/Tokenization/MTDisplayGenerator.swift new file mode 100644 index 0000000000..b9faf4f267 --- /dev/null +++ b/third-party/SwiftMath/Sources/MathRender/Tokenization/MTDisplayGenerator.swift @@ -0,0 +1,389 @@ +// +// MTDisplayGenerator.swift +// SwiftMath +// +// Created by Claude Code on 2025-12-16. +// This software may be modified and distributed under the terms of the +// MIT license. See the LICENSE file for details. +// + +import Foundation +import CoreGraphics +import CoreText + +/// Generates MTDisplay objects from fitted lines of breakable elements +class MTDisplayGenerator { + + // MARK: - Properties + + let font: MTFont + let style: MTLineStyle + let widthCalculator: MTElementWidthCalculator + + // MARK: - Initialization + + init(font: MTFont, style: MTLineStyle) { + self.font = font + self.style = style + self.widthCalculator = MTElementWidthCalculator(font: font, style: style) + } + + // MARK: - Display Generation + + /// Generate displays from fitted lines + func generateDisplays(from lines: [[MTBreakableElement]], startPosition: CGPoint) -> [MTDisplay] { + var allDisplays: [MTDisplay] = [] + var currentY = startPosition.y + + // Minimum spacing between lines (20% of font size for breathing room) + let minimumLineSpacing = font.fontSize * 0.2 + + for (index, line) in lines.enumerated() { + let (lineDisplays, currentLineMetrics) = generateLine(line, at: CGPoint(x: startPosition.x, y: currentY)) + allDisplays.append(contentsOf: lineDisplays) + + // Calculate spacing for next line based on actual content heights + if index < lines.count - 1 { + let nextLine = lines[index + 1] + let nextLineAscent = nextLine.map { $0.ascent }.max() ?? 0 + + // Space needed = current line's descent + minimum spacing + next line's ascent + let spaceNeeded = currentLineMetrics.descent + minimumLineSpacing + nextLineAscent + + // Ensure minimum spacing of 1.2x font size for readability + let minSpacing = font.fontSize * 1.2 + currentY -= max(spaceNeeded, minSpacing) + } + } + + return allDisplays + } + + /// Line metrics for spacing calculation + struct LineMetrics { + let ascent: CGFloat + let descent: CGFloat + var height: CGFloat { ascent + descent } + } + + /// Generate displays for a single line + private func generateLine(_ elements: [MTBreakableElement], at position: CGPoint) -> ([MTDisplay], LineMetrics) { + var displays: [MTDisplay] = [] + var xOffset: CGFloat = 0 + + // Calculate line metrics + let lineAscent = elements.map { $0.ascent }.max() ?? 0 + let lineDescent = elements.map { $0.descent }.max() ?? 0 + + // Baseline y position + let baseline = position.y + + var i = 0 + while i < elements.count { + let element = elements[i] + + // Check if this is part of a group (base + scripts) + if let groupId = element.groupId { + // Collect all elements in this group + var groupElements: [MTBreakableElement] = [] + var j = i + while j < elements.count && elements[j].groupId == groupId { + groupElements.append(elements[j]) + j += 1 + } + + // Render the group + let groupAdvance = renderGroup(groupElements, at: CGPoint(x: position.x + xOffset, y: baseline), displays: &displays) + xOffset += groupAdvance + i = j + } else { + // Regular element (not part of a group) + + // CRITICAL: For operators, spacing should be split evenly before and after + // The element.width includes both spacing, but we need to position the operator + // with half spacing before it + var spacingBefore: CGFloat = 0 + if case .operator(let op, _) = element.content { + // Get the actual text width vs element width to calculate spacing + let textWidth = widthCalculator.measureText(op) + let totalSpacing = element.width - textWidth + spacingBefore = totalSpacing / 2 + } + + let elementPosition = CGPoint(x: position.x + xOffset + spacingBefore, y: baseline) + + switch element.content { + case .text(let text): + let display = createTextDisplay(text, at: elementPosition, element: element) + displays.append(display) + + case .display(let preRenderedDisplay): + // Use pre-rendered display (fraction, radical, etc.) + let mutableDisplay = preRenderedDisplay + mutableDisplay.position = elementPosition + displays.append(mutableDisplay) + + case .operator(let op, _): + let display = createTextDisplay(op, at: elementPosition, element: element) + displays.append(display) + + case .script: + // Standalone script (shouldn't happen, but handle gracefully) + break + + case .space: + // No display for space, just advance position + break + } + + xOffset += element.width + i += 1 + } + } + + return (displays, LineMetrics(ascent: lineAscent, descent: lineDescent)) + } + + /// Render a group of elements (base + scripts) and return the horizontal advance + private func renderGroup(_ groupElements: [MTBreakableElement], at position: CGPoint, displays: inout [MTDisplay]) -> CGFloat { + var baseWidth: CGFloat = 0 + var superscriptWidth: CGFloat = 0 + var subscriptWidth: CGFloat = 0 + var baseXOffset: CGFloat = 0 + + // Check if this group has any scripts + let hasScripts = groupElements.contains { element in + if case .script = element.content { + return true + } + return false + } + + // Track the start index of base displays for dimension adjustment + let baseDisplayStartIndex = displays.count + + // First pass: render base elements and collect script widths + for element in groupElements { + switch element.content { + case .script: + // Skip scripts in first pass + break + default: + // Render base element + let basePosition = CGPoint(x: position.x + baseXOffset, y: position.y) + + switch element.content { + case .text(let text): + let display = createTextDisplay(text, at: basePosition, element: element, hasScript: hasScripts) + displays.append(display) + case .display(let preRenderedDisplay): + let mutableDisplay = preRenderedDisplay + mutableDisplay.position = basePosition + displays.append(mutableDisplay) + case .operator(let op, _): + let display = createTextDisplay(op, at: basePosition, element: element, hasScript: hasScripts) + displays.append(display) + default: + break + } + + baseWidth += element.width + baseXOffset += element.width + } + } + + // Second pass: collect script information for joint positioning + var superscriptDisplay: MTDisplay? = nil + var subscriptDisplay: MTDisplay? = nil + var hasBothScripts = false + + for element in groupElements { + if case .script(let scriptDisplay, let isSuper) = element.content { + if isSuper { + superscriptDisplay = scriptDisplay + } else { + subscriptDisplay = scriptDisplay + } + } + } + + hasBothScripts = superscriptDisplay != nil && subscriptDisplay != nil + + // Third pass: render scripts with proper positioning + var superScriptShiftUp: CGFloat = 0 + var subscriptShiftDown: CGFloat = 0 + + // Check if base is a glyph (not CTLineDisplay) for special positioning + // For glyphs (like large operators), position scripts relative to glyph edges + var isGlyphBase = false + for disp in displays[baseDisplayStartIndex.. 0 { + // Superscript is lower than the max allowed by the font with a subscript + superScriptShiftUp += superscriptBottomDelta + subscriptShiftDown -= superscriptBottomDelta + } + } + } + + // Calculate italic correction (delta) for superscript positioning + // Superscripts are positioned at baseWidth + delta, subscripts at baseWidth + var delta: CGFloat = 0 + if superscriptDisplay != nil { + // Get italic correction from the base display if it's a glyph + for disp in displays[baseDisplayStartIndex.. baseDisplayStartIndex { + // Calculate the full extent of the group including scripts + var maxAscent: CGFloat = 0 + var maxDescent: CGFloat = 0 + + for i in baseDisplayStartIndex.. MTDisplay { + let attrString = NSMutableAttributedString(string: text) + attrString.addAttribute( + NSAttributedString.Key(kCTFontAttributeName as String), + value: font.ctFont as Any, + range: NSMakeRange(0, attrString.length) + ) + + // If the atom was fused (multiple ordinary chars combined), use fusedAtoms + // Otherwise, use the original atom + let atoms: [MTMathAtom] + if !element.originalAtom.fusedAtoms.isEmpty { + atoms = element.originalAtom.fusedAtoms + } else { + atoms = [element.originalAtom] + } + + let display = MTCTLineDisplay( + withString: attrString, + position: position, + range: element.indexRange, + font: font, + atoms: atoms + ) + + // Mark if this base element has associated scripts + display.hasScript = hasScript + + return display + } +} diff --git a/third-party/SwiftMath/Sources/MathRender/Tokenization/MTDisplayPreRenderer.swift b/third-party/SwiftMath/Sources/MathRender/Tokenization/MTDisplayPreRenderer.swift new file mode 100644 index 0000000000..d6af072a60 --- /dev/null +++ b/third-party/SwiftMath/Sources/MathRender/Tokenization/MTDisplayPreRenderer.swift @@ -0,0 +1,88 @@ +// +// MTDisplayPreRenderer.swift +// SwiftMath +// +// Created by Claude Code on 2025-12-16. +// This software may be modified and distributed under the terms of the +// MIT license. See the LICENSE file for details. +// + +import Foundation +import CoreGraphics + +/// Pre-renders complex atoms (fractions, radicals, etc.) as MTDisplay objects during tokenization +class MTDisplayPreRenderer { + + // MARK: - Properties + + let font: MTFont + let style: MTLineStyle + let cramped: Bool + + // MARK: - Initialization + + init(font: MTFont, style: MTLineStyle, cramped: Bool) { + self.font = font + self.style = style + self.cramped = cramped + } + + // MARK: - Script Rendering + + /// Render a script (superscript or subscript) as a display + func renderScript(_ mathList: MTMathList, isSuper: Bool) -> MTDisplay? { + let scriptStyle = getScriptStyle() + let scriptCramped = isSuper ? cramped : true // Subscripts are always cramped + + // Scale the font for the script style + let scriptFontSize = MTTypesetter.getStyleSize(scriptStyle, font: font) + let scriptFont = font.copy(withSize: scriptFontSize) + + guard let display = MTTypesetter.createLineForMathList( + mathList, + font: scriptFont, + style: scriptStyle, + cramped: scriptCramped, + spaced: false + ) else { + return nil + } + + // If the result is a MTMathListDisplay with a single subdisplay, unwrap it + // This matches the behavior of the legacy typesetter + if display.subDisplays.count == 1 { + return display.subDisplays[0] + } + + return display + } + + /// Get the appropriate style for scripts + private func getScriptStyle() -> MTLineStyle { + switch style { + case .display, .text: + return .script + case .script, .scriptOfScript: + return .scriptOfScript + } + } + + // MARK: - Helper Methods + + /// Pre-render a simple math list without width constraints + /// Used for rendering content inside fractions, radicals, etc. + func renderMathList(_ mathList: MTMathList?, style renderStyle: MTLineStyle? = nil, cramped renderCramped: Bool? = nil) -> MTDisplay? { + guard let mathList = mathList else { return nil } + + let actualStyle = renderStyle ?? style + let actualCramped = renderCramped ?? cramped + + return MTTypesetter.createLineForMathList( + mathList, + font: font, + style: actualStyle, + cramped: actualCramped, + spaced: false + ) + } +} diff --git a/third-party/SwiftMath/Sources/MathRender/Tokenization/MTElementWidthCalculator.swift b/third-party/SwiftMath/Sources/MathRender/Tokenization/MTElementWidthCalculator.swift new file mode 100644 index 0000000000..258eb768be --- /dev/null +++ b/third-party/SwiftMath/Sources/MathRender/Tokenization/MTElementWidthCalculator.swift @@ -0,0 +1,165 @@ +// +// MTElementWidthCalculator.swift +// SwiftMath +// +// Created by Claude Code on 2025-12-16. +// This software may be modified and distributed under the terms of the +// MIT license. See the LICENSE file for details. +// + +import Foundation +import CoreText +import CoreGraphics + +/// Calculates widths for breakable elements with appropriate spacing +class MTElementWidthCalculator { + + // MARK: - Properties + + let font: MTFont + let style: MTLineStyle + + // MARK: - Initialization + + init(font: MTFont, style: MTLineStyle) { + self.font = font + self.style = style + } + + // MARK: - Text Width Measurement + + /// Measure width of simple text + func measureText(_ text: String) -> CGFloat { + guard !text.isEmpty else { return 0 } + + let attrString = NSAttributedString(string: text, attributes: [ + kCTFontAttributeName as NSAttributedString.Key: font.ctFont as Any + ]) + let line = CTLineCreateWithAttributedString(attrString as CFAttributedString) + return CGFloat(CTLineGetTypographicBounds(line, nil, nil, nil)) + } + + // MARK: - Operator Width Measurement + + /// Measure width of operator with appropriate spacing + func measureOperator(_ op: String, type: MTMathAtomType) -> CGFloat { + let baseWidth = measureText(op) + let spacing = getOperatorSpacing(type) + return baseWidth + spacing + } + + /// Get spacing for an operator (both sides) + private func getOperatorSpacing(_ type: MTMathAtomType) -> CGFloat { + guard let mathTable = font.mathTable else { return 0 } + let muUnit = mathTable.muUnit + + switch type { + case .binaryOperator: + // Binary operators: 4mu on each side = 8mu total + return 2 * muUnit * 4 + + case .relation: + // Relations: 5mu on each side = 10mu total + return 2 * muUnit * 5 + + case .largeOperator: + // Large operators in inline mode: 1mu on each side + if style == .display || style == .text { + return 0 // In display mode, handled by MTLargeOpLimitsDisplay + } + return 2 * muUnit * 1 + + default: + return 0 + } + } + + // MARK: - Display Width Measurement + + /// Measure width of a pre-rendered display + func measureDisplay(_ display: MTDisplay) -> CGFloat { + return display.width + } + + // MARK: - Space Width Measurement + + /// Get width of explicit spacing command + func measureSpace(_ spaceType: MTMathAtomType) -> CGFloat { + guard let mathTable = font.mathTable else { return 0 } + let muUnit = mathTable.muUnit + + // Note: These are the explicit spacing commands in LaTeX + // \, = thin space (3mu) + // \: = medium space (4mu) + // \; = thick space (5mu) + // \quad = 1em + // \qquad = 2em + + switch spaceType { + case .space: + // Default space - context dependent + // For now, use thin space + return muUnit * 3 + default: + return 0 + } + } + + /// Measure explicit space value + func measureExplicitSpace(_ width: CGFloat) -> CGFloat { + return width + } + + // MARK: - Inter-element Spacing + + /// Get inter-element spacing between two atom types + func getInterElementSpacing(left: MTMathAtomType, right: MTMathAtomType) -> CGFloat { + let leftIndex = getInterElementSpaceArrayIndexForType(left, row: true) + let rightIndex = getInterElementSpaceArrayIndexForType(right, row: false) + let spaceArray = getInterElementSpaces()[Int(leftIndex)] + let spaceType = spaceArray[Int(rightIndex)] + + guard spaceType != .invalid else { + // Should not happen in well-formed math + return 0 + } + + let spaceMultiplier = getSpacingInMu(spaceType) + if spaceMultiplier > 0, let mathTable = font.mathTable { + return CGFloat(spaceMultiplier) * mathTable.muUnit + } + return 0 + } + + /// Get spacing multiplier in mu units + private func getSpacingInMu(_ spaceType: InterElementSpaceType) -> Int { + switch style { + case .display, .text: + switch spaceType { + case .none, .invalid: + return 0 + case .thin: + return 3 + case .nsThin, .nsMedium, .nsThick: + // ns = non-script, same as regular in display/text mode + switch spaceType { + case .nsThin: return 3 + case .nsMedium: return 4 + case .nsThick: return 5 + default: return 0 + } + } + + case .script, .scriptOfScript: + switch spaceType { + case .none, .invalid: + return 0 + case .thin: + return 3 + case .nsThin, .nsMedium, .nsThick: + // In script mode, ns types don't add space + return 0 + } + } + } +} diff --git a/third-party/SwiftMath/Sources/MathRender/Tokenization/MTLineFitter.swift b/third-party/SwiftMath/Sources/MathRender/Tokenization/MTLineFitter.swift new file mode 100644 index 0000000000..5afdc36a2a --- /dev/null +++ b/third-party/SwiftMath/Sources/MathRender/Tokenization/MTLineFitter.swift @@ -0,0 +1,266 @@ +// +// MTLineFitter.swift +// SwiftMath +// +// Created by Claude Code on 2025-12-16. +// This software may be modified and distributed under the terms of the +// MIT license. See the LICENSE file for details. +// + +import Foundation +import CoreGraphics + +/// Fits breakable elements into lines respecting width constraints and break rules +class MTLineFitter { + + // MARK: - Properties + + let maxWidth: CGFloat + let margin: CGFloat + + // MARK: - Initialization + + init(maxWidth: CGFloat, margin: CGFloat = 0) { + self.maxWidth = maxWidth + self.margin = margin + } + + // MARK: - Line Fitting + + /// Fit elements into lines using greedy algorithm with backtracking + func fitLines(_ elements: [MTBreakableElement]) -> [[MTBreakableElement]] { + guard !elements.isEmpty else { return [] } + guard maxWidth > 0 else { return [elements] } // No width constraint + + let debugPunctuation = !"".isEmpty // Enable to debug line breaking issues + + if debugPunctuation { + print("\n=== MTLineFitter: fitting \(elements.count) elements, maxWidth=\(maxWidth) ===") + for (idx, elem) in elements.enumerated() { + if case .text(let t) = elem.content { + print("[\(idx)] '\(t)' breakBefore=\(elem.isBreakBefore) breakAfter=\(elem.isBreakAfter) width=\(elem.width)") + } + } + } + + var lines: [[MTBreakableElement]] = [[]] + var currentWidth: CGFloat = 0 + var i = 0 + + while i < elements.count { + let element = elements[i] + + if debugPunctuation, case .text(let t) = element.content { + print("\n Processing element[\(i)]: '\(t)' breakBefore=\(element.isBreakBefore)") + } + + // Handle grouped elements (base + scripts) + if let groupId = element.groupId { + let (groupElements, nextIndex) = collectGroup(elements, startIndex: i, groupId: groupId) + + // Calculate group width correctly for scripts + // Scripts overlap vertically, so width = max(script widths), not sum + let groupWidth = calculateGroupWidth(groupElements) + + // Check if group fits on current line + if !lines.last!.isEmpty && currentWidth + groupWidth > maxWidth - margin { + // Group doesn't fit - check if first element of group can start a new line + if groupElements.first?.isBreakBefore ?? true { + // Can start new line + lines.append([]) + currentWidth = 0 + } else { + // Cannot start new line - keep with previous line (allow overflow) + // This handles cases like punctuation after base+script groups + } + } + + // Add entire group to current line + lines[lines.count - 1].append(contentsOf: groupElements) + currentWidth += groupWidth + i = nextIndex + continue + } + + // Check if element fits on current line + if !lines.last!.isEmpty && currentWidth + element.width > maxWidth - margin { + if debugPunctuation, case .text = element.content { + print(" Doesn't fit (width=\(currentWidth) + \(element.width) > \(maxWidth)), current line has \(lines.last!.count) elements") + } + // Element doesn't fit - find best break point in current line + if let breakIndex = findBestBreak(in: lines[lines.count - 1]) { + if debugPunctuation { + print(" Found break at index \(breakIndex) out of \(lines.last!.count) elements") + if breakIndex < lines.last!.count { + if case .text(let t) = lines.last![breakIndex].content { + print(" Break at element: '\(t)'") + } + } + } + // Found a break point - move elements from breakIndex onward to next line + let moveElements = Array(lines[lines.count - 1][breakIndex...]) + let oldLine = Array(lines[lines.count - 1][.. Adding '\(t)' to new line (part of unbreakable sequence)") + } + lines[lines.count - 1].append(element) + currentWidth += element.width + i += 1 + continue + } else { + if debugPunctuation, case .text(let t) = element.content { + print(" -> Adding '\(t)' to new line (can start line)") + } + } + // Current element can start a line, will be added to new line below + } else { + // Should not happen if findBestBreak is correct, but handle gracefully + // Keep elements on current line (allow overflow) + lines[lines.count - 1].append(contentsOf: moveElements) + currentWidth += moveElements.reduce(0) { $0 + $1.width } + } + } else { + // No good break point found + // Check if current element can start a new line + if element.isBreakBefore { + // Element can start new line + lines.append([]) + currentWidth = 0 + } else { + // Element cannot start a new line (e.g., closing punctuation) + // Keep it on current line even if it causes overflow + // This respects punctuation rules over width constraints + lines[lines.count - 1].append(element) + currentWidth += element.width + i += 1 + continue + } + } + } + + // Add element to current line (may overflow if indivisible and too wide) + lines[lines.count - 1].append(element) + currentWidth += element.width + i += 1 + } + + let finalLines = lines.filter { !$0.isEmpty } + + if debugPunctuation { + print("\n=== Final lines: ===") + for (lineIdx, line) in finalLines.enumerated() { + print("Line \(lineIdx):") + for elem in line { + if case .text(let t) = elem.content { + print(" '\(t)'", terminator: "") + } + } + print() + } + } + + return finalLines + } + + // MARK: - Helper Methods + + /// Calculate the correct width for a group of elements (e.g., base + scripts) + /// Scripts overlap vertically, so the group width is not the sum of all widths + private func calculateGroupWidth(_ groupElements: [MTBreakableElement]) -> CGFloat { + // For grouped elements (base + scripts), just sum all widths + // The display generator will handle the actual positioning and overlap + // This is just for line fitting purposes + return groupElements.reduce(0) { $0 + $1.width } + } + + /// Collect all elements that share the same groupId + private func collectGroup(_ elements: [MTBreakableElement], startIndex: Int, groupId: UUID) -> ([MTBreakableElement], Int) { + var groupElements: [MTBreakableElement] = [] + var index = startIndex + + while index < elements.count && elements[index].groupId == groupId { + groupElements.append(elements[index]) + index += 1 + } + + return (groupElements, index) + } + + /// Find the best break point in a line + /// Returns the index where the break should occur (elements from this index move to next line) + private func findBestBreak(in line: [MTBreakableElement]) -> Int? { + var bestIndex: Int? = nil + var lowestPenalty = Int.max + + let debugBreak = !"".isEmpty // Enable to debug break point selection + + // Scan from right to left to prefer breaking later in the line + // Note: Skip the last element (idx == line.count - 1) because breaking after it + // would move 0 elements to the next line, which is pointless + for (idx, element) in line.enumerated().reversed() { + // Skip the last element - we need to move at least 1 element to the next line + if idx >= line.count - 1 { + continue + } + + // Can we break after this element? + let canBreakAfter = element.isBreakAfter + let penaltyAfter = element.penaltyAfter + + // Check if next element (which would move to new line) allows breaking before it + let canBreakBeforeNext = line[idx + 1].isBreakBefore + let penaltyBeforeNext = line[idx + 1].penaltyBefore + + // We can break here only if BOTH: + // 1. Current element allows breaking after it + // 2. Next element allows breaking before it + if canBreakAfter && canBreakBeforeNext { + let totalPenalty = max(penaltyAfter, penaltyBeforeNext) + if totalPenalty < lowestPenalty { + if debugBreak && idx < line.count - 1 { + let currText = if case .text(let t) = element.content { t } else { "?" } + let nextText = if case .text(let t) = line[idx + 1].content { t } else { "?" } + print(" Considering break: '\(currText)' | '\(nextText)' at idx=\(idx), penalty=\(totalPenalty)") + } + bestIndex = idx + 1 + lowestPenalty = totalPenalty + } + } + } + + if debugBreak { + print(" Best break: index=\(bestIndex ?? -1), penalty=\(lowestPenalty)") + } + + // Only return if we found an acceptable break point + if let index = bestIndex, lowestPenalty <= MTBreakPenalty.bad { + return index + } + + return nil + } + + /// Check if a line width exceeds the maximum + private func exceedsMaxWidth(_ width: CGFloat) -> Bool { + return width > maxWidth - margin + } +} diff --git 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