From 036299d02bfb3e9abe799a404a6e7d2df14f55f2 Mon Sep 17 00:00:00 2001 From: Hadrian Tang Date: Mon, 31 Aug 2026 11:51:39 +0800 Subject: [PATCH 1/4] feat: support integer long division --- .../Atom/LongDivisionTests.cs | 119 ++++++++++++++++++ .../MathDisplay/LongDivisionExact.png | Bin 0 -> 6308 bytes .../MathDisplay/LongDivisionInternalZero.png | Bin 0 -> 7226 bytes .../MathDisplay/LongDivisionRemainder.png | Bin 0 -> 12893 bytes .../MathDisplay/LongDivisionShort.png | Bin 0 -> 3306 bytes .../MathInline/LongDivisionExact.png | Bin 0 -> 6308 bytes .../MathInline/LongDivisionInternalZero.png | Bin 0 -> 7226 bytes .../MathInline/LongDivisionRemainder.png | Bin 0 -> 12893 bytes .../MathInline/LongDivisionShort.png | Bin 0 -> 3306 bytes .../TestLongDivisionRendering.cs | 69 ++++++++++ .../TestRenderingMathData.cs | 6 +- CSharpMath/Atom/Atoms/LongDivision.cs | 60 +++++++++ CSharpMath/Atom/LaTeXParser.cs | 16 ++- CSharpMath/Atom/LaTeXSettings.cs | 8 +- CSharpMath/Display/Typesetter.cs | 9 +- CSharpMath/PublicAPI.Unshipped.txt | 23 ++++ 16 files changed, 306 insertions(+), 4 deletions(-) create mode 100644 CSharpMath.Core.Tests/Atom/LongDivisionTests.cs create mode 100644 CSharpMath.Rendering.Tests/MathDisplay/LongDivisionExact.png create mode 100644 CSharpMath.Rendering.Tests/MathDisplay/LongDivisionInternalZero.png create mode 100644 CSharpMath.Rendering.Tests/MathDisplay/LongDivisionRemainder.png create mode 100644 CSharpMath.Rendering.Tests/MathDisplay/LongDivisionShort.png create mode 100644 CSharpMath.Rendering.Tests/MathInline/LongDivisionExact.png create mode 100644 CSharpMath.Rendering.Tests/MathInline/LongDivisionInternalZero.png create mode 100644 CSharpMath.Rendering.Tests/MathInline/LongDivisionRemainder.png create mode 100644 CSharpMath.Rendering.Tests/MathInline/LongDivisionShort.png create mode 100644 CSharpMath.Rendering.Tests/TestLongDivisionRendering.cs create mode 100644 CSharpMath/Atom/Atoms/LongDivision.cs diff --git a/CSharpMath.Core.Tests/Atom/LongDivisionTests.cs b/CSharpMath.Core.Tests/Atom/LongDivisionTests.cs new file mode 100644 index 000000000..a0c6153d5 --- /dev/null +++ b/CSharpMath.Core.Tests/Atom/LongDivisionTests.cs @@ -0,0 +1,119 @@ +using System; +using System.Linq; +using System.Reflection; +using CSharpMath.Atom; +using CSharpMath.Atom.Atoms; +using Xunit; + +namespace CSharpMath.Core.AtomTests { + public class LongDivisionTests { + static string CellText(MathList cell) => cell.Count == 0 ? "" : cell[0] switch { + Number number => number.Nucleus, + Underline underline => CellText(underline.InnerList), + _ => cell.DebugString + }; + static LongDivision Parse(string source) { + var result = LaTeXParser.MathListFromLaTeX(source); + Assert.Null(result.Error); + var (list, _) = result; + return Assert.IsType(list[0]); + } + + [Theory] + [InlineData("12345", "13", "949", 8)] + [InlineData("123", "1234", "0", 123)] + [InlineData("31415926", "2", "15707963", 0)] + [InlineData("81", "3", "27", 0)] + [InlineData("1132", "99", "11", 43)] + [InlineData("86491", "94", "920", 11)] + public void ComputesRepresentativeDivisions(string numerator, string denominator, string quotient, int remainder) { + var atom = new LongDivision(numerator, denominator); + Assert.Equal(quotient, atom.QuotientText); + Assert.Equal(remainder.ToString(), atom.Remainder); + Assert.NotEmpty(atom.Steps); + } + + [Fact] + public void ParsesAsSemanticAtomAndRoundTrips() { + var atom = Parse(@"\longdiv{00123}{0007}"); + Assert.Equal("123", atom.Numerator); + Assert.Equal("7", atom.Denominator); + Assert.Equal(@"\longdiv{123}{7}", LaTeXParser.MathListToLaTeX(new MathList(atom)).ToString()); + Assert.Equal(atom, atom.Clone(false)); + } + + [Theory] + [InlineData(@"\longdiv{12}{0}")] + [InlineData(@"\longdiv{-12}{3}")] + [InlineData(@"\longdiv{12.5}{3}")] + [InlineData(@"\longdiv{12}{abc}")] + [InlineData(@"\longdiv{123456789012345678901234567890}{3}")] + public void RejectsInvalidOperands(string source) { + var result = LaTeXParser.MathListFromLaTeX(source); + Assert.NotNull(result.Error); + Assert.Contains("longdiv", result.Error, StringComparison.OrdinalIgnoreCase); + } + + [Fact] + public void ErrorDoesNotPoisonFollowingParse() { + Assert.NotNull(LaTeXParser.MathListFromLaTeX(@"\longdiv{1}{0}").Error); + var result = LaTeXParser.MathListFromLaTeX(@"\longdiv{81}{3}"); + Assert.Null(result.Error); + var (list, _) = result; + Assert.IsType(list[0]); + } + + [Theory] + [InlineData(@"\longdiv{12}{3", "missing } for denominator", 14)] + [InlineData(@"\longdiv{{12}}{3}", "must be a nonnegative", 14)] + [InlineData(@"\longdiv{12}{x}", "must be a nonnegative", 15)] + public void MalformedOperandsReportSourceContext(string source, string detail, int expectedPosition) { + var result = LaTeXParser.MathListFromLaTeX(source); + Assert.NotNull(result.Error); + Assert.Contains(detail, result.Error, StringComparison.OrdinalIgnoreCase); + Assert.Contains("\u2191 (pos " + expectedPosition + ")", result.Error); + Assert.Contains(source.TrimEnd('}'), result.Error); + } + + [Fact] + public void TraceRetainsZeroDigitsAndPlaceColumns() { + var atom = new LongDivision("12345", "13"); + Assert.Equal(new[] { 0, 0, 9, 4, 9 }, atom.Steps.Select(s => s.QuotientDigit)); + Assert.Equal(new[] { 0, 1, 2, 3, 4 }, atom.Steps.Select(s => s.DecimalColumn)); + Assert.Equal("8", atom.Steps.Last().Remainder); + Assert.Equal(atom.Remainder, atom.Steps.Last().Remainder); + } + + [Theory] + [InlineData("3", "5", "0", "3")] + [InlineData("0", "7", "0", "0")] + [InlineData("1005", "5", "201", "0")] + public void HandlesShortAndExactDivisions(string numerator, string denominator, string quotient, string remainder) { + var atom = new LongDivision(numerator, denominator); + Assert.Equal(quotient, atom.QuotientText); + Assert.Equal(remainder, atom.Remainder); + Assert.Equal(numerator.Length, atom.Steps.Count); + } + + [Fact] + public void LayoutHasBracketRuleAndOneFinalRemainder() { + var atom = new LongDivision("12345", "13"); + var layout = (Table)typeof(LongDivision).GetMethod("CreateLayout", BindingFlags.Instance | BindingFlags.NonPublic)!.Invoke(atom, null)!; + var dividend = layout.Cells[1][1]; + var inner = Assert.IsType(dividend[0]); + Assert.Equal("⟌", inner.LeftBoundary.Nucleus); + Assert.IsType(inner.InnerList[0]); + Assert.Equal("949", CellText(layout.Cells[0][1])); + Assert.Equal(1, layout.Cells.Count(row => row.Any(cell => CellText(cell) == atom.Remainder))); + } + + [Fact] + public void LayoutRetainsInternalZeroStepsWithoutRowsForZeroProducts() { + var atom = new LongDivision("1005", "5"); + Assert.Contains(atom.Steps, step => step.QuotientDigit == 0); + var layout = (Table)typeof(LongDivision).GetMethod("CreateLayout", BindingFlags.Instance | BindingFlags.NonPublic)!.Invoke(atom, null)!; + Assert.Equal("201", CellText(layout.Cells[0][1])); + Assert.Equal(1, layout.Cells.Skip(2).Count(row => row.Any(cell => CellText(cell) == "0"))); + } + } +} diff --git a/CSharpMath.Rendering.Tests/MathDisplay/LongDivisionExact.png b/CSharpMath.Rendering.Tests/MathDisplay/LongDivisionExact.png new file mode 100644 index 0000000000000000000000000000000000000000..3d38a822e0b7c6f6fa7887c79de24dea8c398d85 GIT binary patch literal 6308 zcmcIpXH*kiyM-=4OKvh0V#rnCPkDcy`z*6L5hKw8bDDgL0YJh zjR@W9e?8*y`jdK6xYiU&c&C{pLsAdJVap&rub|YCK6=u%eYF=gn(oZ6>{$;ffv%mNjF3o(2 z0%?49?{i`H9+t}9G}oDe{))aG78bU2)8F6!5BuOp`^%WzJG#M8PAC<21fAV|F3YV2 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zf_bf_*~DIoCB(h@9Z?=%`&{u~jd9Po1fPHqQrShz5dbT41Xtd>zcyNEoTz(2cRx^1 z*2`IlSHb_S)9t;_OqkWlwhK*&!oQu_7#aO!+IS>+zjlk$E?d#F?Ow!dC))HgjL zCk@GJ&7`>xA`7bI)mPlworD!XbbLavkQ(KB580ys?Ktj%1CfZe&Mm6VE`9u<5OeEr z($60Kc;2ZCh5%pY(Y>myFLdf6aiMQ0T-uv52lo>heH*6F=BIB{c1%c{eO#KqvCN zc}imkIUlID$e+%oX(Q$*VpGq#QM5~?6Gw7VunbDjU@<7WN1=&Ttf~pU&rhPn)cYYA z{-6HowX3w_EyZ;3JEi*~#y{vw&e{>z4+v;Hc)>@-4YDV5!dCYH*?|g@^F%@u?TH@1 z`Zl^zqtr%hcTEBbs+zsf6<{#+AWu<#HKce_NAMN?v!l2IXXM-#&&84l&y>vDE)n5w uyk{ucL{lu5UHd+A$ungZy}=xSUspqG$G4|7wX)ft7l0YY3Qa?~#{CB?tsQ>= literal 0 HcmV?d00001 diff --git a/CSharpMath.Rendering.Tests/TestLongDivisionRendering.cs b/CSharpMath.Rendering.Tests/TestLongDivisionRendering.cs new file mode 100644 index 000000000..5d71a973b --- /dev/null +++ b/CSharpMath.Rendering.Tests/TestLongDivisionRendering.cs @@ -0,0 +1,69 @@ +using System.IO; +using System.Linq; +using CSharpMath.Avalonia; +using CSharpMath.SkiaSharp; +using Xunit; +using AvaloniaMathPainter = CSharpMath.Avalonia.MathPainter; +using SkiaMathPainter = CSharpMath.SkiaSharp.MathPainter; + +namespace CSharpMath.Rendering.Tests { + public sealed class TestLongDivisionRendering { + [Theory] + [InlineData("12345", "13")] + [InlineData("1005", "5")] + [InlineData("3", "5")] + [InlineData("0", "7")] + [InlineData("9999999999999999999999999999", "1")] + public void SkiaProducesMeasuredLongDivision(string numerator, string denominator) { + using var stream = new SkiaMathPainter { LaTeX = $@"\longdiv{{{numerator}}}{{{denominator}}}" }.DrawAsStream(); + Assert.NotNull(stream); + Assert.True(stream!.Length > 0); + } + + [Theory] + [InlineData("12345", "13")] + [InlineData("1005", "5")] + [InlineData("3", "5")] + [InlineData("0", "7")] + [InlineData("9999999999999999999999999999", "1")] + public void AvaloniaProducesMeasuredLongDivision(string numerator, string denominator) { + global::Avalonia.Skia.SkiaPlatform.Initialize(); + using var stream = new MemoryStream(); + new AvaloniaMathPainter { + LaTeX = $@"\longdiv{{{numerator}}}{{{denominator}}}" + }.DrawAsPng(stream); + Assert.True(stream.Length > 0); + } + + [Fact] + public void ScalingChangesGeometryWithoutChangingSemanticRows() { + var painter = new SkiaMathPainter { LaTeX = @"\longdiv{12345}{13}" }; + var normal = painter.Measure(2000); + painter.FontSize *= 2; + var large = painter.Measure(2000); + Assert.True(large.Width > normal.Width); + Assert.True(large.Height > normal.Height); + var result = CSharpMath.Atom.LaTeXParser.MathListFromLaTeX(@"\longdiv{12345}{13}"); + Assert.Null(result.Error); + var (list, _) = result; + var atom = Assert.IsType(list[0]); + Assert.Equal(new[] { 0, 1, 2, 3, 4 }, atom.Steps.Select(s => s.DecimalColumn)); + } + + [Theory] + [InlineData(@"\longdiv{12345}{13}", "display")] + [InlineData(@"\text{answer: }\longdiv{1005}{5}", "text")] + [InlineData(@"x_{\longdiv{3}{5}}", "script")] + public void DisplayTextAndScriptRemainNonEmptyWhenScaled(string latex, string kind) { + var painter = new SkiaMathPainter { LaTeX = latex }; + var before = painter.Measure(2000); + painter.FontSize *= 0.5f; + var half = painter.Measure(2000); + painter.FontSize *= 4; + var twice = painter.Measure(2000); + Assert.True(before.Width > 0 && before.Height > 0, kind); + Assert.True(half.Width > 0 && half.Height > 0, kind); + Assert.True(twice.Width > half.Width && twice.Height > half.Height, kind); + } + } +} diff --git a/CSharpMath.Rendering.Tests/TestRenderingMathData.cs b/CSharpMath.Rendering.Tests/TestRenderingMathData.cs index 569e546e5..fbaecb86a 100644 --- a/CSharpMath.Rendering.Tests/TestRenderingMathData.cs +++ b/CSharpMath.Rendering.Tests/TestRenderingMathData.cs @@ -32,6 +32,10 @@ public sealed class TestRenderingMathData : TestRenderingSharedData 9) throw new ArgumentOutOfRangeException(nameof(quotientDigit)); + if (broughtDownDigit < '0' || broughtDownDigit > '9') throw new ArgumentOutOfRangeException(nameof(broughtDownDigit)); + if (decimalColumn < 0) throw new ArgumentOutOfRangeException(nameof(decimalColumn)); + (PartialDividend, QuotientDigit, Product, Remainder, BroughtDownDigit, DecimalColumn) = (partialDividend, quotientDigit, product, remainder, broughtDownDigit, decimalColumn); + } + } + /// Semantic representation of a bounded decimal long division. + public sealed class LongDivision : MathAtom, IMathListContainer { + // decimal is used deliberately to keep the operation bounded and AOT-safe. + public const int MaxDigits = 28; + public string Numerator { get; } + public string Denominator { get; } + public string QuotientText { get; } + public string Remainder { get; } + public IReadOnlyList Steps { get; } + public LongDivision(string numerator, string denominator) : base() { + Numerator = Validate(numerator, nameof(numerator)); Denominator = Validate(denominator, nameof(denominator)); + if (Denominator.TrimStart('0').Length == 0) throw new ArgumentException("Denominator must not be zero.", nameof(denominator)); + var n = BigInteger.Parse(Numerator, CultureInfo.InvariantCulture); var d = BigInteger.Parse(Denominator, CultureInfo.InvariantCulture); + QuotientText = (n / d).ToString(CultureInfo.InvariantCulture); Remainder = (n % d).ToString(CultureInfo.InvariantCulture); Steps = BuildSteps(d); + } + static string Validate(string value, string name) { if (string.IsNullOrWhiteSpace(value) || value.Length > MaxDigits || value.Any(c => c < '0' || c > '9')) throw new ArgumentException("Expected a nonnegative decimal integer of at most 28 digits.", name); var t = value.TrimStart('0'); return t.Length == 0 ? "0" : t; } + MathList Digits(string text) => new MathList(new Number(text)); + IReadOnlyList BuildSteps(BigInteger divisor) { + var result = new List(); var partial = BigInteger.Zero; + for (int i = 0; i < Numerator.Length; i++) { partial = partial * 10 + (Numerator[i] - '0'); var q = (int)(partial / divisor); var product = q * divisor; partial -= product; result.Add(new LongDivisionStep((partial + product).ToString(CultureInfo.InvariantCulture), q, product.ToString(CultureInfo.InvariantCulture), partial.ToString(CultureInfo.InvariantCulture), Numerator[i], i)); } + return result.AsReadOnly(); + } + internal Table CreateLayout() { + var table = new Table { InterColumnSpacing = 1, InterRowAdditionalSpacing = 1 }; table.SetCell(Digits(QuotientText), 0, 1); table.SetCell(Digits(Denominator), 1, 0); table.SetCell(new MathList(new Inner(new Boundary("⟌"), new MathList(new Underline(Digits(Numerator))), Boundary.Empty)), 1, 1); table.SetAlignment(ColumnAlignment.Right, 0); table.SetAlignment(ColumnAlignment.Left, 1); + var d = BigInteger.Parse(Denominator, CultureInfo.InvariantCulture); var running = BigInteger.Zero; var row = 2; + for (int i = 0; i < Numerator.Length; i++) { running = running * 10 + (Numerator[i] - '0'); if (running < d) continue; var product = (running / d) * d; table.SetCell(new MathList(new Underline(Digits(product.ToString(CultureInfo.InvariantCulture)))), row++, 1); running -= product; if (i < Numerator.Length - 1) table.SetCell(Digits(running.ToString(CultureInfo.InvariantCulture)), row++, 1); } + if (row == 2 || Remainder != "0") table.SetCell(Digits(Remainder), row, 1); return table; + } + public IEnumerable InnerLists => CreateLayout().Cells.SelectMany(r => r); + public override bool ScriptsAllowed => false; + public new LongDivision Clone(bool finalize) => (LongDivision)base.Clone(finalize); + protected override MathAtom CloneInside(bool finalize) => new LongDivision(Numerator, Denominator); + public override string DebugString => $@"\longdiv{{{Numerator}}}{{{Denominator}}}"; + public override bool Equals(object obj) => obj is LongDivision d && EqualsAtom(d) && Numerator == d.Numerator && Denominator == d.Denominator; + public override int GetHashCode() => (base.GetHashCode(), Numerator, Denominator).GetHashCode(); + } +} diff --git a/CSharpMath/Atom/LaTeXParser.cs b/CSharpMath/Atom/LaTeXParser.cs index 1250d8e7a..9201867b2 100644 --- a/CSharpMath/Atom/LaTeXParser.cs +++ b/CSharpMath/Atom/LaTeXParser.cs @@ -43,6 +43,17 @@ public void UndoReadChar() => : NextChar--; public bool HasCharacters => NextChar < Chars.Length; public Result ReadArgument(MathList? appendTo = null) => BuildInternal(true, r: appendTo); + internal Result ReadLongDivisionOperand(string name) { + if (!ReadCharIfAvailable('{')) return new Result("\\longdiv: missing {" + name); + var start = NextChar; var depth = 1; + while (HasCharacters && depth > 0) { var c = ReadChar(); if (c == '{') depth++; else if (c == '}') depth--; } + if (depth != 0) return new Result("\\longdiv: missing } for " + name); + var value = Chars.Substring(start, NextChar - start - 1).Trim(); + if (value.Length == 0 || value.Any(c => c < '0' || c > '9')) return new Result("\\longdiv: " + name + " must be a nonnegative decimal integer"); + if (value.Length > Atoms.LongDivision.MaxDigits) return new Result("\\longdiv: " + name + " exceeds " + Atoms.LongDivision.MaxDigits + " digits"); + if (value.All(c => c == '0') && name == "denominator") return new Result("\\longdiv: denominator must not be zero"); + return Result.Ok(value); + } public Result ReadArgumentOptional(MathList? appendTo = null) => ReadCharIfAvailable('[') ? BuildInternal(false, ']', r: appendTo).Bind(mathList => (MathList?)mathList) @@ -609,6 +620,9 @@ static bool MathAtomToLaTeX(MathAtom atom, StringBuilder builder, .Append('}'); } break; + case LongDivision division: + builder.Append(@"\longdiv{").Append(division.Numerator).Append("}{").Append(division.Denominator).Append('}'); + break; case Overline over: builder.Append(@"\overline{"); MathListToLaTeX(over.InnerList, builder, currentFontStyle); @@ -731,4 +745,4 @@ public static StringBuilder MathListToLaTeX(MathList mathList, StringBuilder? sb return sb; } } -} \ No newline at end of file +} diff --git a/CSharpMath/Atom/LaTeXSettings.cs b/CSharpMath/Atom/LaTeXSettings.cs index 3ef5599a9..5982af8bc 100644 --- a/CSharpMath/Atom/LaTeXSettings.cs +++ b/CSharpMath/Atom/LaTeXSettings.cs @@ -133,6 +133,12 @@ public static class LaTeXSettings { parser.ReadArgument().Bind(numerator => parser.ReadArgument().Bind(denominator => Ok(new Fraction(numerator, denominator)))) }, + { @"\longdiv", (parser, accumulate, stopChar) => + parser.ReadLongDivisionOperand("numerator").Bind(numerator => + parser.ReadLongDivisionOperand("denominator").Bind(denominator => { + try { return Ok(new LongDivision(numerator, denominator)); } + catch (ArgumentException e) { return Err("\\longdiv: " + e.Message); } + })) }, { @"\binom", (parser, accumulate, stopChar) => parser.ReadArgument().Bind(numerator => parser.ReadArgument().Bind(denominator => @@ -1189,4 +1195,4 @@ atom is Accent accent // \varsupsetneqq -> ⫌ + U+FE00 (Variation Selector 1) Not dealing with variation selectors, thank you very much }; } -} \ No newline at end of file +} diff --git a/CSharpMath/Display/Typesetter.cs b/CSharpMath/Display/Typesetter.cs index 8c58f6bf9..aeb32e527 100644 --- a/CSharpMath/Display/Typesetter.cs +++ b/CSharpMath/Display/Typesetter.cs @@ -311,6 +311,13 @@ private void CreateDisplayAtoms(List preprocessedAtoms) { _displayAtoms.Add(tableDisplay); _currentPosition.X += tableDisplay.Width; break; + case LongDivision division: + AddDisplayLine(false); + AddInterElementSpace(prevAtom, division); + var divisionDisplay = MakeTable(division.CreateLayout()); + _displayAtoms.Add(divisionDisplay); + _currentPosition.X += divisionDisplay.Width; + break; case LargeOperator op: AddDisplayLine(false); AddInterElementSpace(prevAtom, op); @@ -1133,4 +1140,4 @@ private IDisplay AddLimitsToDisplay(IDisplay displ return display; } } -} \ No newline at end of file +} diff --git a/CSharpMath/PublicAPI.Unshipped.txt b/CSharpMath/PublicAPI.Unshipped.txt index e69de29bb..8087feafc 100644 --- a/CSharpMath/PublicAPI.Unshipped.txt +++ b/CSharpMath/PublicAPI.Unshipped.txt @@ -0,0 +1,23 @@ +#nullable enable +CSharpMath.Atom.Atoms.LongDivisionStep +CSharpMath.Atom.Atoms.LongDivisionStep.LongDivisionStep(string! partialDividend, int quotientDigit, string! product, string! remainder, char broughtDownDigit, int decimalColumn) -> void +CSharpMath.Atom.Atoms.LongDivisionStep.PartialDividend.get -> string! +CSharpMath.Atom.Atoms.LongDivisionStep.QuotientDigit.get -> int +CSharpMath.Atom.Atoms.LongDivisionStep.Product.get -> string! +CSharpMath.Atom.Atoms.LongDivisionStep.Remainder.get -> string! +CSharpMath.Atom.Atoms.LongDivisionStep.BroughtDownDigit.get -> char +CSharpMath.Atom.Atoms.LongDivisionStep.DecimalColumn.get -> int +CSharpMath.Atom.Atoms.LongDivision +CSharpMath.Atom.Atoms.LongDivision.LongDivision(string! numerator, string! denominator) -> void +const CSharpMath.Atom.Atoms.LongDivision.MaxDigits = 28 -> int +CSharpMath.Atom.Atoms.LongDivision.Numerator.get -> string! +CSharpMath.Atom.Atoms.LongDivision.Denominator.get -> string! +CSharpMath.Atom.Atoms.LongDivision.QuotientText.get -> string! +CSharpMath.Atom.Atoms.LongDivision.Remainder.get -> string! +CSharpMath.Atom.Atoms.LongDivision.Steps.get -> System.Collections.Generic.IReadOnlyList! +CSharpMath.Atom.Atoms.LongDivision.InnerLists.get -> System.Collections.Generic.IEnumerable! +override CSharpMath.Atom.Atoms.LongDivision.ScriptsAllowed.get -> bool +CSharpMath.Atom.Atoms.LongDivision.Clone(bool finalize) -> CSharpMath.Atom.Atoms.LongDivision! +override CSharpMath.Atom.Atoms.LongDivision.DebugString.get -> string! +override CSharpMath.Atom.Atoms.LongDivision.Equals(object! obj) -> bool +override CSharpMath.Atom.Atoms.LongDivision.GetHashCode() -> int From 2850e16b034dd5ff9819c65de3e449dd71fc8413 Mon Sep 17 00:00:00 2001 From: Happypig375 Date: Mon, 31 Aug 2026 23:15:05 +0800 Subject: [PATCH 2/4] fix: correct long division rendering --- .../Atom/LongDivisionTests.cs | 30 ++++++++++++++++-- .../MathDisplay/LongDivisionExact.png | Bin 6308 -> 9019 bytes .../MathDisplay/LongDivisionInternalZero.png | Bin 7226 -> 10481 bytes .../MathDisplay/LongDivisionRemainder.png | Bin 12893 -> 17524 bytes .../MathDisplay/LongDivisionShort.png | Bin 3306 -> 4812 bytes .../MathDisplay/LongDivisionTrailingZero.png | Bin 0 -> 16047 bytes .../MathInline/LongDivisionExact.png | Bin 6308 -> 9019 bytes .../MathInline/LongDivisionInternalZero.png | Bin 7226 -> 10481 bytes .../MathInline/LongDivisionRemainder.png | Bin 12893 -> 17524 bytes .../MathInline/LongDivisionShort.png | Bin 3306 -> 4812 bytes .../MathInline/LongDivisionTrailingZero.png | Bin 0 -> 16047 bytes .../TestRenderingMathData.cs | 1 + CSharpMath/Atom/Atoms/LongDivision.cs | 29 ++++++++++++++--- 13 files changed, 54 insertions(+), 6 deletions(-) create mode 100644 CSharpMath.Rendering.Tests/MathDisplay/LongDivisionTrailingZero.png create mode 100644 CSharpMath.Rendering.Tests/MathInline/LongDivisionTrailingZero.png diff --git a/CSharpMath.Core.Tests/Atom/LongDivisionTests.cs b/CSharpMath.Core.Tests/Atom/LongDivisionTests.cs index a0c6153d5..995ed3abb 100644 --- a/CSharpMath.Core.Tests/Atom/LongDivisionTests.cs +++ b/CSharpMath.Core.Tests/Atom/LongDivisionTests.cs @@ -10,6 +10,8 @@ public class LongDivisionTests { static string CellText(MathList cell) => cell.Count == 0 ? "" : cell[0] switch { Number number => number.Nucleus, Underline underline => CellText(underline.InnerList), + Overline overline => CellText(overline.InnerList), + Inner inner => CellText(inner.InnerList), _ => cell.DebugString }; static LongDivision Parse(string source) { @@ -101,19 +103,43 @@ public void LayoutHasBracketRuleAndOneFinalRemainder() { var layout = (Table)typeof(LongDivision).GetMethod("CreateLayout", BindingFlags.Instance | BindingFlags.NonPublic)!.Invoke(atom, null)!; var dividend = layout.Cells[1][1]; var inner = Assert.IsType(dividend[0]); - Assert.Equal("⟌", inner.LeftBoundary.Nucleus); - Assert.IsType(inner.InnerList[0]); + Assert.Equal(")", inner.LeftBoundary.Nucleus); + Assert.Equal(Boundary.Empty, inner.RightBoundary); + Assert.IsType(inner.InnerList[0]); Assert.Equal("949", CellText(layout.Cells[0][1])); + Assert.Equal(ColumnAlignment.Right, layout.GetAlignment(1)); Assert.Equal(1, layout.Cells.Count(row => row.Any(cell => CellText(cell) == atom.Remainder))); } + [Fact] + public void LayoutPreservesProductPlaceValuesAndRunningTotals() { + var atom = new LongDivision("12345", "13"); + var layout = (Table)typeof(LongDivision).GetMethod("CreateLayout", BindingFlags.Instance | BindingFlags.NonPublic)!.Invoke(atom, null)!; + Assert.Equal(new[] { "949", "12345", "11700", "645", "520", "125", "117", "8" }, + layout.Cells.Select(row => CellText(row[1]))); + } + [Fact] public void LayoutRetainsInternalZeroStepsWithoutRowsForZeroProducts() { var atom = new LongDivision("1005", "5"); Assert.Contains(atom.Steps, step => step.QuotientDigit == 0); var layout = (Table)typeof(LongDivision).GetMethod("CreateLayout", BindingFlags.Instance | BindingFlags.NonPublic)!.Invoke(atom, null)!; Assert.Equal("201", CellText(layout.Cells[0][1])); + Assert.Equal(new[] { "201", "1005", "1000", "5", "5", "0" }, + layout.Cells.Select(row => CellText(row[1]))); Assert.Equal(1, layout.Cells.Skip(2).Count(row => row.Any(cell => CellText(cell) == "0"))); } + + [Theory] + [InlineData("81", "3", new[] { "27", "81", "60", "21", "21", "0" })] + [InlineData("3", "5", new[] { "0", "3", "3" })] + [InlineData("0", "7", new[] { "0", "0", "0" })] + [InlineData("86491", "94", new[] { "920", "86491", "84600", "1891", "1880", "11" })] + public void LayoutShowsExactlyOneFinalRemainder(string numerator, string denominator, string[] expected) { + var atom = new LongDivision(numerator, denominator); + var layout = (Table)typeof(LongDivision).GetMethod("CreateLayout", BindingFlags.Instance | BindingFlags.NonPublic)!.Invoke(atom, null)!; + Assert.Equal(expected, layout.Cells.Select(row => CellText(row[1]))); + Assert.Equal(atom.Remainder, CellText(layout.Cells.Last()[1])); + } } } diff --git a/CSharpMath.Rendering.Tests/MathDisplay/LongDivisionExact.png b/CSharpMath.Rendering.Tests/MathDisplay/LongDivisionExact.png index 3d38a822e0b7c6f6fa7887c79de24dea8c398d85..8e6323debb35d5544b84c0c2f0b6ad3379e0bdd8 100644 GIT binary patch literal 9019 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z%qRvgRSM#%x_Br9$}FY*5medJS!fs-S{SO%a}8|tSCkrfM& z09-wznWF&G08A40Yo{GGV6(2O>%xH)x_P8ISwJGw7XQ>{sVU6)eRB$j`!6$q+^S{l zXTdIPU<%+}J(L&*1-D%RA{sbzGoFS$POfqXyL3+_KnM8L~W1#ZRx1xZJwE zSwl2Q6Dn;MfU^LZ*!bl?5X4UjN;U^b BuildSteps(BigInteger divisor) { return result.AsReadOnly(); } internal Table CreateLayout() { - var table = new Table { InterColumnSpacing = 1, InterRowAdditionalSpacing = 1 }; table.SetCell(Digits(QuotientText), 0, 1); table.SetCell(Digits(Denominator), 1, 0); table.SetCell(new MathList(new Inner(new Boundary("⟌"), new MathList(new Underline(Digits(Numerator))), Boundary.Empty)), 1, 1); table.SetAlignment(ColumnAlignment.Right, 0); table.SetAlignment(ColumnAlignment.Left, 1); - var d = BigInteger.Parse(Denominator, CultureInfo.InvariantCulture); var running = BigInteger.Zero; var row = 2; - for (int i = 0; i < Numerator.Length; i++) { running = running * 10 + (Numerator[i] - '0'); if (running < d) continue; var product = (running / d) * d; table.SetCell(new MathList(new Underline(Digits(product.ToString(CultureInfo.InvariantCulture)))), row++, 1); running -= product; if (i < Numerator.Length - 1) table.SetCell(Digits(running.ToString(CultureInfo.InvariantCulture)), row++, 1); } - if (row == 2 || Remainder != "0") table.SetCell(Digits(Remainder), row, 1); return table; + var table = new Table { InterColumnSpacing = 1, InterRowAdditionalSpacing = 1 }; + table.SetCell(Digits(QuotientText), 0, 1); + table.SetCell(Digits(Denominator), 1, 0); + table.SetCell(new MathList(new Inner( + new Boundary(")"), + new MathList(new Overline(Digits(Numerator))), + Boundary.Empty)), 1, 1); + table.SetAlignment(ColumnAlignment.Right, 0); + table.SetAlignment(ColumnAlignment.Right, 1); + + var row = 2; + foreach (var step in Steps.Where(step => step.QuotientDigit > 0)) { + var trailingZeroes = new string('0', Numerator.Length - step.DecimalColumn - 1); + var product = step.Product + trailingZeroes; + table.SetCell(new MathList(new Underline(Digits(product))), row++, 1); + + // Bring down every remaining dividend digit so place value is retained. + var runningText = step.Remainder + Numerator.Substring(step.DecimalColumn + 1); + var running = BigInteger.Parse(runningText, CultureInfo.InvariantCulture) + .ToString(CultureInfo.InvariantCulture); + table.SetCell(Digits(running), row++, 1); + } + if (!Steps.Any(step => step.QuotientDigit > 0)) + table.SetCell(Digits(Remainder), row, 1); + return table; } public IEnumerable InnerLists => CreateLayout().Cells.SelectMany(r => r); public override bool ScriptsAllowed => false; From 05b2bb37f50262aab2bbf5bc3c513b0cfa4128af Mon Sep 17 00:00:00 2001 From: Happypig375 Date: Mon, 31 Aug 2026 23:53:28 +0800 Subject: [PATCH 3/4] fix: match CTAN long division header --- .../Atom/LongDivisionTests.cs | 6 ++++-- .../MathDisplay/LongDivisionExact.png | Bin 9019 -> 7563 bytes .../MathDisplay/LongDivisionInternalZero.png | Bin 10481 -> 8881 bytes .../MathDisplay/LongDivisionRemainder.png | Bin 17524 -> 16139 bytes .../MathDisplay/LongDivisionShort.png | Bin 4812 -> 3522 bytes .../MathDisplay/LongDivisionTrailingZero.png | Bin 16047 -> 14425 bytes .../MathInline/LongDivisionExact.png | Bin 9019 -> 7563 bytes .../MathInline/LongDivisionInternalZero.png | Bin 10481 -> 8881 bytes .../MathInline/LongDivisionRemainder.png | Bin 17524 -> 16139 bytes .../MathInline/LongDivisionShort.png | Bin 4812 -> 3522 bytes .../MathInline/LongDivisionTrailingZero.png | Bin 16047 -> 14425 bytes CSharpMath/Atom/Atoms/LongDivision.cs | 6 +++--- 12 files changed, 7 insertions(+), 5 deletions(-) diff --git a/CSharpMath.Core.Tests/Atom/LongDivisionTests.cs b/CSharpMath.Core.Tests/Atom/LongDivisionTests.cs index 995ed3abb..85d72d7d3 100644 --- a/CSharpMath.Core.Tests/Atom/LongDivisionTests.cs +++ b/CSharpMath.Core.Tests/Atom/LongDivisionTests.cs @@ -102,10 +102,12 @@ public void LayoutHasBracketRuleAndOneFinalRemainder() { var atom = new LongDivision("12345", "13"); var layout = (Table)typeof(LongDivision).GetMethod("CreateLayout", BindingFlags.Instance | BindingFlags.NonPublic)!.Invoke(atom, null)!; var dividend = layout.Cells[1][1]; - var inner = Assert.IsType(dividend[0]); + var overline = Assert.IsType(dividend[0]); + var inner = Assert.IsType(overline.InnerList[0]); Assert.Equal(")", inner.LeftBoundary.Nucleus); Assert.Equal(Boundary.Empty, inner.RightBoundary); - Assert.IsType(inner.InnerList[0]); + var digits = Assert.IsType(inner.InnerList[0]); + Assert.Equal("12345", digits.Nucleus); Assert.Equal("949", CellText(layout.Cells[0][1])); Assert.Equal(ColumnAlignment.Right, layout.GetAlignment(1)); Assert.Equal(1, layout.Cells.Count(row => row.Any(cell => CellText(cell) == atom.Remainder))); diff --git a/CSharpMath.Rendering.Tests/MathDisplay/LongDivisionExact.png b/CSharpMath.Rendering.Tests/MathDisplay/LongDivisionExact.png index 8e6323debb35d5544b84c0c2f0b6ad3379e0bdd8..bacaa4aebf20645d138400dc7b8e2cb71b530d3b 100644 GIT binary patch literal 7563 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zS^oJs!{5x-S(&G)xX#;Lfz!PjA?3Dd-mizrr=&jZbTs}pcfA~X$#AcR*xEOf>A{8b zzdv_eKIl|A4LxLjMN>(>&R8dCE~txX#s|Ap>_v~j;DS(-5?q(jVX{wkcuZ*5j&Enp{U0IqX>$k)|BSE~_VH{E>io;0fNc^9dCFD(sypBLB^I!ez?)tYupqGR&H8( zfxrGFrXo$zTybaknr8(IvkEJu8H)9nE5By)Sw*JiL)gE|cq%qU^v%r#6vrL$Z_EP} zxhPfV1h$;obky|!^^y9%SguYJ>=Es zac~tmSPcx9h4-kyv%GI!9~J%Ta?_JXJ)t|wy+I&N5m{OGmZYX@egEZDb9K|HHYVwr z&jq14(a51(%Z;aLNhAi0V=_0`pFq zUb@iJ{m!3jMEx;E5TH1~85oe_VY}_lD2k z12RS9KnXd+s$reCoD}?xxcl7AF<83I|4OJl+8B_Z*~;8)pv&?G>2i4~&2G|bHQq0O z83wH6)yJf%bP7Z34Lz0Us6?&cyomn}l*a1#iMa^q zgCm}lmIa19XT)5LjWpKFXM&8HE}Iq-dRc2dTzr1#Ag67*Y5$)gAE~gNV&V6}*FM#< z%qRvgRSM#%x_Br9$}FY*5medJS!fs-S{SO%a}8|tSCkrfM& z09-wznWF&G08A40Yo{GGV6(2O>%xH)x_P8ISwJGw7XQ>{sVU6)eRB$j`!6$q+^S{l zXTdIPU<%+}J(L&*1-D%RA{sbzGoFS$POfqXyL3+_KnM8L~W1#ZRx1xZJwE zSwl2Q6Dn;MfU^LZ*!bl?5X4UjN;U^b Date: Tue, 1 Sep 2026 00:29:25 +0800 Subject: [PATCH 4/4] fix: connect long division header --- .../Atom/LongDivisionTests.cs | 9 +- .../MathDisplay/LongDivisionExact.png | Bin 7563 -> 7750 bytes .../MathDisplay/LongDivisionInternalZero.png | Bin 8881 -> 8952 bytes .../MathDisplay/LongDivisionRemainder.png | Bin 16139 -> 16087 bytes .../MathDisplay/LongDivisionShort.png | Bin 3522 -> 3250 bytes .../MathDisplay/LongDivisionTrailingZero.png | Bin 14425 -> 14552 bytes .../MathInline/LongDivisionExact.png | Bin 7563 -> 7750 bytes .../MathInline/LongDivisionInternalZero.png | Bin 8881 -> 8952 bytes .../MathInline/LongDivisionRemainder.png | Bin 16139 -> 16087 bytes .../MathInline/LongDivisionShort.png | Bin 3522 -> 3250 bytes .../MathInline/LongDivisionTrailingZero.png | Bin 14425 -> 14552 bytes .../TestLongDivisionRendering.cs | 95 ++++++++++++++++++ CSharpMath/Atom/Atoms/LongDivision.cs | 16 ++- .../Displays/LongDivisionHeaderDisplay.cs | 61 +++++++++++ CSharpMath/Display/Typesetter.cs | 27 +++++ 15 files changed, 199 insertions(+), 9 deletions(-) create mode 100644 CSharpMath/Display/Displays/LongDivisionHeaderDisplay.cs diff --git a/CSharpMath.Core.Tests/Atom/LongDivisionTests.cs b/CSharpMath.Core.Tests/Atom/LongDivisionTests.cs index 85d72d7d3..6a10ebd11 100644 --- a/CSharpMath.Core.Tests/Atom/LongDivisionTests.cs +++ b/CSharpMath.Core.Tests/Atom/LongDivisionTests.cs @@ -12,6 +12,7 @@ public class LongDivisionTests { Underline underline => CellText(underline.InnerList), Overline overline => CellText(overline.InnerList), Inner inner => CellText(inner.InnerList), + IMathListContainer container => CellText(Assert.Single(container.InnerLists)), _ => cell.DebugString }; static LongDivision Parse(string source) { @@ -102,11 +103,9 @@ public void LayoutHasBracketRuleAndOneFinalRemainder() { var atom = new LongDivision("12345", "13"); var layout = (Table)typeof(LongDivision).GetMethod("CreateLayout", BindingFlags.Instance | BindingFlags.NonPublic)!.Invoke(atom, null)!; var dividend = layout.Cells[1][1]; - var overline = Assert.IsType(dividend[0]); - var inner = Assert.IsType(overline.InnerList[0]); - Assert.Equal(")", inner.LeftBoundary.Nucleus); - Assert.Equal(Boundary.Empty, inner.RightBoundary); - var digits = Assert.IsType(inner.InnerList[0]); + Assert.Equal("LongDivisionHeader", dividend[0].GetType().Name); + var header = Assert.IsAssignableFrom(dividend[0]); + var digits = Assert.IsType(Assert.Single(Assert.Single(header.InnerLists))); Assert.Equal("12345", digits.Nucleus); Assert.Equal("949", CellText(layout.Cells[0][1])); Assert.Equal(ColumnAlignment.Right, layout.GetAlignment(1)); diff --git a/CSharpMath.Rendering.Tests/MathDisplay/LongDivisionExact.png b/CSharpMath.Rendering.Tests/MathDisplay/LongDivisionExact.png index bacaa4aebf20645d138400dc7b8e2cb71b530d3b..ed0038ba33b80a52a1e5210e513fe205a8318cf8 100644 GIT binary patch literal 7750 zcmb7}c{r5+zyA?JWQ_@xJ!BdCHb|E2vK6v4mgHm4z6{dXra?)FkP)Jceb3U+NS49G zSYp!1n8d_bibm(|oa_4ie&<}@-*wKJf9|>7bI)8ebHAR?_w)ICnxh&MTnvf$hW zCJ6ts4)H}hBvc?^%1F*M%Hu)55Hq8+#g#Jh_~9poQQ6VvnuZ9Em?oEL^)zsG800)9 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zSat)9mshrM%WAzZ?Oou;_g0YI1u&%%Sfup9BZ+26!&rGWZoYQAwh^1(K!F5R@w#qr ziqQ9UfHi7GK+*!#Mg$jL5}dEeLGkx=R-j)a>;;|8M!7S(>uv5Kp0*7QZ~j)0KN=&q>GNfMQO*Ad5^JmFYYcIVcsS{q|q_?N`=^ zSv36rNEQKfh!FE`{e5GAW`Y&8GXBipE8hV_D4;&#YBKB+F;rHaAPu%s!Z-nCWT?+@ z=MHy{c@q_Ap8vJ1zmBuK;DFZ^NQtd(WVYlUR|BeV|43+F>N;0quM2>=!1_)3A4fE> z1arW`!lNP@D3vFii70P$?!edXhR2^i}D)G%N7{jbQm|BvkK|CPf1|1iBj zJ2C&F0}ikqn?e2Jz5hNT=s3TmrOTh;!gijyH&MJ{_NrPrNHrw z^_^PV)kMK%&d)B|pBF0s+MoAn=cqkdg3U|divowuGlv_>;hk{|K*gpdZfY?Ef|UIk aJJp;~_S4<-kKnt45Dit`JEh7Nf&T-d@$iiR diff --git a/CSharpMath.Rendering.Tests/TestLongDivisionRendering.cs b/CSharpMath.Rendering.Tests/TestLongDivisionRendering.cs index 5d71a973b..b4a03dd07 100644 --- a/CSharpMath.Rendering.Tests/TestLongDivisionRendering.cs +++ b/CSharpMath.Rendering.Tests/TestLongDivisionRendering.cs @@ -1,7 +1,9 @@ +using System; using System.IO; using System.Linq; using CSharpMath.Avalonia; using CSharpMath.SkiaSharp; +using SkiaSharp; using Xunit; using AvaloniaMathPainter = CSharpMath.Avalonia.MathPainter; using SkiaMathPainter = CSharpMath.SkiaSharp.MathPainter; @@ -65,5 +67,98 @@ public void DisplayTextAndScriptRemainNonEmptyWhenScaled(string latex, string ki Assert.True(half.Width > 0 && half.Height > 0, kind); Assert.True(twice.Width > half.Width && twice.Height > half.Height, kind); } + + [Theory] + [InlineData(@"\longdiv{12345}{13}", CSharpMath.Atom.LineStyle.Text)] + [InlineData(@"\longdiv{12345}{13}", CSharpMath.Atom.LineStyle.Script)] + public void LongDivisionBarConnectsToDelimiterInTextAndScriptStyles(string latex, CSharpMath.Atom.LineStyle style) { + using var skia = RenderSkia(latex, style); + AssertBarConnectsToDelimiter(skia, latex); + global::Avalonia.Skia.SkiaPlatform.Initialize(); + using var avalonia = new MemoryStream(); + new AvaloniaMathPainter { LaTeX = latex, LineStyle = style }.DrawAsPng(avalonia); + avalonia.Position = 0; + AssertBarConnectsToDelimiter(avalonia, latex); + } + + private static MemoryStream RenderSkia(string latex, CSharpMath.Atom.LineStyle style) { + using var rendered = new SkiaMathPainter { LaTeX = latex, LineStyle = style }.DrawAsStream(); + var copy = new MemoryStream(); + rendered!.CopyTo(copy); + copy.Position = 0; + return copy; + } + + private static void AssertBarConnectsToDelimiter(Stream png, string latex) { + using var bitmap = SKBitmap.Decode(png); + Assert.NotNull(bitmap); + var dark = new bool[bitmap!.Width, bitmap.Height]; + for (var y = 0; y < bitmap.Height; y++) + for (var x = 0; x < bitmap.Width; x++) { + var color = bitmap.GetPixel(x, y); + dark[x, y] = color.Alpha > 32 && color.Red < 190 && color.Green < 190 && color.Blue < 190; + } + + var bestY = -1; + var bestStart = 0; + var bestLength = 0; + for (var y = 0; y < bitmap.Height; y++) { + var start = -1; + for (var x = 0; x <= bitmap.Width; x++) { + if (x < bitmap.Width && dark[x, y]) { + if (start < 0) start = x; + } else if (start >= 0) { + if (x - start > bestLength) { + bestY = y; + bestStart = start; + bestLength = x - start; + } + start = -1; + } + } + } + Assert.True(bestLength >= 8, $"No overbar found for {latex}."); + + var ruleBottom = bestY; + for (var y = bestY + 1; y < bitmap.Height; y++) { + var run = LongestDarkRun(dark, bitmap.Width, y); + if (run.Length < bestLength * 0.8) break; + ruleBottom = y; + } + + // The connected component must reach below the rule near its left endpoint. + var visited = new bool[bitmap.Width, bitmap.Height]; + var pending = new System.Collections.Generic.Queue<(int X, int Y)>(); + for (var x = bestStart; x < bestStart + bestLength; x++) { + visited[x, bestY] = true; + pending.Enqueue((x, bestY)); + } + var reachesBelow = false; + while (pending.Count > 0) { + var (x, y) = pending.Dequeue(); + if (y > ruleBottom + Math.Max(3, bitmap.Height / 12) && x <= bestStart + Math.Max(8, bitmap.Height / 8)) reachesBelow = true; + foreach (var (nx, ny) in new[] { (x - 1, y), (x + 1, y), (x, y - 1), (x, y + 1) }) + if (nx >= 0 && nx < bitmap.Width && ny >= 0 && ny < bitmap.Height && dark[nx, ny] && !visited[nx, ny]) { + visited[nx, ny] = true; + pending.Enqueue((nx, ny)); + } + } + Assert.True(reachesBelow, $"Overbar is not connected to the delimiter for {latex}."); + } + + private static (int Start, int Length) LongestDarkRun(bool[,] dark, int width, int y) { + var bestStart = 0; + var bestLength = 0; + var start = -1; + for (var x = 0; x <= width; x++) { + if (x < width && dark[x, y]) { + if (start < 0) start = x; + } else if (start >= 0) { + if (x - start > bestLength) (bestStart, bestLength) = (start, x - start); + start = -1; + } + } + return (bestStart, bestLength); + } } } diff --git a/CSharpMath/Atom/Atoms/LongDivision.cs b/CSharpMath/Atom/Atoms/LongDivision.cs index a09bcaad0..b22caff92 100644 --- a/CSharpMath/Atom/Atoms/LongDivision.cs +++ b/CSharpMath/Atom/Atoms/LongDivision.cs @@ -47,10 +47,7 @@ internal Table CreateLayout() { var table = new Table { InterColumnSpacing = 1, InterRowAdditionalSpacing = 1 }; table.SetCell(Digits(QuotientText), 0, 1); table.SetCell(Digits(Denominator), 1, 0); - table.SetCell(new MathList(new Overline(new MathList(new Inner( - new Boundary(")"), - Digits(Numerator), - Boundary.Empty)))), 1, 1); + table.SetCell(new MathList(new LongDivisionHeader(Digits(Numerator))), 1, 1); table.SetAlignment(ColumnAlignment.Right, 0); table.SetAlignment(ColumnAlignment.Right, 1); @@ -78,4 +75,15 @@ internal Table CreateLayout() { public override bool Equals(object obj) => obj is LongDivision d && EqualsAtom(d) && Numerator == d.Numerator && Denominator == d.Denominator; public override int GetHashCode() => (base.GetHashCode(), Numerator, Denominator).GetHashCode(); } + + // The long-division bar and closing delimiter have a font-specific junction + // which cannot be represented by a generic Overline around an Inner. + internal sealed class LongDivisionHeader : MathAtom, IMathListContainer { + internal MathList Dividend { get; } + internal LongDivisionHeader(MathList dividend) => Dividend = dividend ?? throw new ArgumentNullException(nameof(dividend)); + public IEnumerable InnerLists => new[] { Dividend }; + public override bool ScriptsAllowed => false; + protected override MathAtom CloneInside(bool finalize) => new LongDivisionHeader(Dividend.Clone(finalize)); + public override string DebugString => $@"\longdivheader{{{Dividend.DebugString}}}"; + } } diff --git a/CSharpMath/Display/Displays/LongDivisionHeaderDisplay.cs b/CSharpMath/Display/Displays/LongDivisionHeaderDisplay.cs new file mode 100644 index 000000000..c83060c02 --- /dev/null +++ b/CSharpMath/Display/Displays/LongDivisionHeaderDisplay.cs @@ -0,0 +1,61 @@ +using System.Drawing; +using CSharpMath.Atom; + +namespace CSharpMath.Display.Displays { + using FrontEnd; + + internal sealed class LongDivisionHeaderDisplay : IDisplay + where TFont : IFont { + readonly IDisplay _dividend; + readonly IGlyphDisplay _delimiter; + readonly float _lineShiftUp; + readonly float _lineThickness; + + internal LongDivisionHeaderDisplay(IDisplay dividend, + IGlyphDisplay delimiter, float lineShiftUp, + float lineThickness, Range range) { + _dividend = dividend; + _delimiter = delimiter; + _lineShiftUp = lineShiftUp; + _lineThickness = lineThickness; + Range = range; + } + + public float Ascent => System.Math.Max(_lineShiftUp + _lineThickness / 2, + System.Math.Max(_dividend.Position.Y - Position.Y + _dividend.Ascent, + _delimiter.Position.Y - Position.Y + _delimiter.Ascent)); + public float Descent => System.Math.Max(-_lineShiftUp + _lineThickness / 2, + System.Math.Max(-(_dividend.Position.Y - Position.Y) + _dividend.Descent, + -(_delimiter.Position.Y - Position.Y) + _delimiter.Descent)); + public float Width => System.Math.Max(_dividend.Position.X - Position.X + _dividend.Width, + _delimiter.Position.X - Position.X + _delimiter.Width); + public Range Range { get; } + PointF _position; + public PointF Position { + get => _position; + set { + var delta = new PointF(value.X - _position.X, value.Y - _position.Y); + _position = value; + _dividend.Position = new PointF(_dividend.Position.X + delta.X, _dividend.Position.Y + delta.Y); + _delimiter.Position = new PointF(_delimiter.Position.X + delta.X, _delimiter.Position.Y + delta.Y); + } + } + public bool HasScript { get; set; } + public Color? TextColor { get; set; } + public Color? BackColor { get; set; } + public void Draw(IGraphicsContext context) { + this.DrawBackground(context); + _delimiter.Draw(context); + _dividend.Draw(context); + context.SaveState(); + context.DrawLine(Position.X, Position.Y + _lineShiftUp, + Position.X + Width, Position.Y + _lineShiftUp, _lineThickness, TextColor); + context.RestoreState(); + } + public void SetTextColorRecursive(Color? textColor) { + TextColor ??= textColor; + _delimiter.SetTextColorRecursive(textColor); + _dividend.SetTextColorRecursive(textColor); + } + } +} diff --git a/CSharpMath/Display/Typesetter.cs b/CSharpMath/Display/Typesetter.cs index aeb32e527..1dd4a61e9 100644 --- a/CSharpMath/Display/Typesetter.cs +++ b/CSharpMath/Display/Typesetter.cs @@ -318,6 +318,14 @@ private void CreateDisplayAtoms(List preprocessedAtoms) { _displayAtoms.Add(divisionDisplay); _currentPosition.X += divisionDisplay.Width; break; + case LongDivisionHeader header: + AddDisplayLine(false); + AddInterElementSpace(prevAtom, header); + var headerDisplay = MakeLongDivisionHeader(header); + headerDisplay.Position = _currentPosition; + _displayAtoms.Add(headerDisplay); + _currentPosition.X += headerDisplay.Width; + break; case LargeOperator op: AddDisplayLine(false); AddInterElementSpace(prevAtom, op); @@ -727,6 +735,25 @@ private InnerDisplay MakeInner(Inner inner, Range range) { return new InnerDisplay(innerListDisplay, leftGlyph, rightGlyph, range); } + private LongDivisionHeaderDisplay MakeLongDivisionHeader(LongDivisionHeader header) { + var inner = new Inner(new Boundary(")"), header.Dividend, Boundary.Empty); + var innerDisplay = MakeInner(inner, header.IndexRange); + var dividend = innerDisplay.Inner; + var delimiter = innerDisplay.Left ?? throw new InvalidCodePathException("Long division delimiter was not created."); + var spacing = 2 * _mathTable.MuUnit(_styleFont); + var thickness = _mathTable.OverbarRuleThickness(_styleFont); + var lineShiftUp = dividend.Ascent + _mathTable.OverbarVerticalGap(_font) + + thickness + _mathTable.OverbarExtraAscender(_font); + // Raise the delimiter independently until its ink bounds meet the center + // of the rule. The half-rule overlap keeps the junction closed after + // rasterization, as CTAN's smashed and raised \big) does. + var delimiterTop = delimiter.Ascent + delimiter.Position.Y; + delimiter.Position = new PointF(0, lineShiftUp - delimiterTop); + dividend.Position = new PointF(delimiter.Width + spacing, 0); + return new LongDivisionHeaderDisplay(dividend, delimiter, + lineShiftUp, thickness, header.IndexRange); + } + private IGlyphDisplay FindGlyphForBoundary( string delimiter, float glyphHeight) { var leftGlyph = _context.GlyphFinder.FindGlyphForCharacterAtIndex(_font, 0, delimiter);