/* * Copyright 2020 Google Inc. * * Use of this source code is governed by a BSD-style license that can be * found in the LICENSE file. */ #include "include/core/SkBitmap.h" #include "include/core/SkCanvas.h" #include "include/core/SkPath.h" #include "include/utils/SkParsePath.h" #include "samplecode/Sample.h" #include "src/core/SkGeometry.h" namespace { ////////////////////////////////////////////////////////////////////////////// static SkPoint rotate90(const SkPoint& p) { return {p.fY, -p.fX}; } static SkPoint rotate180(const SkPoint& p) { return p * -1; } static SkPoint setLength(SkPoint p, float len) { if (!p.setLength(len)) { SkDebugf("Failed to set point length\n"); } return p; } static bool isClockwise(const SkPoint& a, const SkPoint& b) { return a.cross(b) > 0; } ////////////////////////////////////////////////////////////////////////////// // Testing ground for a new stroker implementation /** Helper class for constructing paths, with undo support */ class PathRecorder { public: SkPath getPath() const { return SkPath::Make(fPoints.data(), fPoints.size(), fVerbs.data(), fVerbs.size(), nullptr, 0, SkPathFillType::kWinding); } void moveTo(SkPoint p) { fVerbs.push_back(SkPath::kMove_Verb); fPoints.push_back(p); } void lineTo(SkPoint p) { fVerbs.push_back(SkPath::kLine_Verb); fPoints.push_back(p); } void close() { fVerbs.push_back(SkPath::kClose_Verb); } void rewind() { fVerbs.clear(); fPoints.clear(); } int countPoints() const { return fPoints.size(); } int countVerbs() const { return fVerbs.size(); } bool getLastPt(SkPoint* lastPt) const { if (fPoints.empty()) { return false; } *lastPt = fPoints.back(); return true; } void setLastPt(SkPoint lastPt) { if (fPoints.empty()) { moveTo(lastPt); } else { fPoints.back().set(lastPt.fX, lastPt.fY); } } const std::vector& verbs() const { return fVerbs; } const std::vector& points() const { return fPoints; } private: std::vector fVerbs; std::vector fPoints; }; class SkPathStroker2 { public: // Returns the fill path SkPath getFillPath(const SkPath& path, const SkPaint& paint); private: struct PathSegment { SkPath::Verb fVerb; SkPoint fPoints[4]; }; float fRadius; SkPaint::Cap fCap; SkPaint::Join fJoin; PathRecorder fInner, fOuter; // Initialize stroker state void initForPath(const SkPath& path, const SkPaint& paint); // Strokes a line segment void strokeLine(const PathSegment& line, bool needsMove); // Adds an endcap to fOuter enum class CapLocation { Start, End }; void endcap(CapLocation loc); // Adds a join between the two segments void join(const PathSegment& prev, const PathSegment& curr); // Appends path in reverse to result static void appendPathReversed(const PathRecorder& path, PathRecorder* result); // Returns the segment unit normal static SkPoint unitNormal(const PathSegment& seg, float t); // Returns squared magnitude of line segments. static float squaredLineLength(const PathSegment& lineSeg); }; void SkPathStroker2::initForPath(const SkPath& path, const SkPaint& paint) { fRadius = paint.getStrokeWidth() / 2; fCap = paint.getStrokeCap(); fJoin = paint.getStrokeJoin(); fInner.rewind(); fOuter.rewind(); } SkPath SkPathStroker2::getFillPath(const SkPath& path, const SkPaint& paint) { initForPath(path, paint); // Trace the inner and outer paths simultaneously. Inner will therefore be // recorded in reverse from how we trace the outline. SkPath::Iter it(path, false); PathSegment segment, prevSegment; bool firstSegment = true; while ((segment.fVerb = it.next(segment.fPoints)) != SkPath::kDone_Verb) { // Join to the previous segment if (!firstSegment) { join(prevSegment, segment); } // Stroke the current segment switch (segment.fVerb) { case SkPath::kLine_Verb: strokeLine(segment, firstSegment); break; case SkPath::kMove_Verb: // Don't care about multiple contours currently continue; default: SkDebugf("Unhandled path verb %d\n", segment.fVerb); break; } std::swap(segment, prevSegment); firstSegment = false; } // Open contour => endcap at the end const bool isClosed = path.isLastContourClosed(); if (isClosed) { SkDebugf("Unhandled closed contour\n"); } else { endcap(CapLocation::End); } // Walk inner path in reverse, appending to result appendPathReversed(fInner, &fOuter); endcap(CapLocation::Start); return fOuter.getPath(); } void SkPathStroker2::strokeLine(const PathSegment& line, bool needsMove) { const SkPoint tangent = line.fPoints[1] - line.fPoints[0]; const SkPoint normal = rotate90(tangent); const SkPoint offset = setLength(normal, fRadius); if (needsMove) { fOuter.moveTo(line.fPoints[0] + offset); fInner.moveTo(line.fPoints[0] - offset); } fOuter.lineTo(line.fPoints[1] + offset); fInner.lineTo(line.fPoints[1] - offset); } void SkPathStroker2::endcap(CapLocation loc) { const auto buttCap = [this](CapLocation loc) { if (loc == CapLocation::Start) { // Back at the start of the path: just close the stroked outline fOuter.close(); } else { // Inner last pt == first pt when appending in reverse SkPoint innerLastPt; fInner.getLastPt(&innerLastPt); fOuter.lineTo(innerLastPt); } }; switch (fCap) { case SkPaint::kButt_Cap: buttCap(loc); break; default: SkDebugf("Unhandled endcap %d\n", fCap); buttCap(loc); break; } } void SkPathStroker2::join(const PathSegment& prev, const PathSegment& curr) { const auto miterJoin = [this](const PathSegment& prev, const PathSegment& curr) { // Common path endpoint of the two segments is the midpoint of the miter line. const SkPoint miterMidpt = curr.fPoints[0]; SkPoint before = unitNormal(prev, 1); SkPoint after = unitNormal(curr, 0); // Check who's inside and who's outside. PathRecorder *outer = &fOuter, *inner = &fInner; if (!isClockwise(before, after)) { std::swap(inner, outer); before = rotate180(before); after = rotate180(after); } const float cosTheta = before.dot(after); if (SkScalarNearlyZero(1 - cosTheta)) { // Nearly identical normals: don't bother. return; } // Before and after have the same origin and magnitude, so before+after is the diagonal of // their rhombus. Origin of this vector is the midpoint of the miter line. SkPoint miterVec = before + after; // Note the relationship (draw a right triangle with the miter line as its hypoteneuse): // sin(theta/2) = strokeWidth / miterLength // so miterLength = strokeWidth / sin(theta/2) // where miterLength is the length of the miter from outer point to inner corner. // miterVec's origin is the midpoint of the miter line, so we use strokeWidth/2. // Sqrt is just an application of half-angle identities. const float sinHalfTheta = sqrtf(0.5 * (1 + cosTheta)); const float halfMiterLength = fRadius / sinHalfTheta; miterVec.setLength(halfMiterLength); // TODO: miter length limit // Outer: connect to the miter point, and then to t=0 (on outside stroke) of next segment. const SkPoint dest = setLength(after, fRadius); outer->lineTo(miterMidpt + miterVec); outer->lineTo(miterMidpt + dest); // Inner miter is more involved. We're already at t=1 (on inside stroke) of 'prev'. // Check 2 cases to see we can directly connect to the inner miter point // (midpoint - miterVec), or if we need to add extra "loop" geometry. const SkPoint prevUnitTangent = rotate90(before); const float radiusSquared = fRadius * fRadius; // 'alpha' is angle between prev tangent and the curr inwards normal const float cosAlpha = prevUnitTangent.dot(-after); // Solve triangle for len^2: radius^2 = len^2 + (radius * sin(alpha))^2 // This is the point at which the inside "corner" of curr at t=0 will lie on a // line connecting the inner and outer corners of prev at t=0. If len is below // this threshold, the inside corner of curr will "poke through" the start of prev, // and we'll need the inner loop geometry. const float threshold1 = radiusSquared * cosAlpha * cosAlpha; // Solve triangle for len^2: halfMiterLen^2 = radius^2 + len^2 // This is the point at which the inner miter point will lie on the inner stroke // boundary of the curr segment. If len is below this threshold, the miter point // moves 'inside' of the stroked outline, and we'll need the inner loop geometry. const float threshold2 = halfMiterLength * halfMiterLength - radiusSquared; // If a segment length is smaller than the larger of the two thresholds, // we'll have to add the inner loop geometry. const float maxLenSqd = std::max(threshold1, threshold2); const bool needsInnerLoop = squaredLineLength(prev) < maxLenSqd || squaredLineLength(curr) < maxLenSqd; if (needsInnerLoop) { // Connect to the miter midpoint (common path endpoint of the two segments), // and then to t=0 (on inside) of the next segment. This adds an interior "loop" of // geometry that handles edge cases where segment lengths are shorter than the // stroke width. inner->lineTo(miterMidpt); inner->lineTo(miterMidpt - dest); } else { // Directly connect to inner miter point. inner->setLastPt(miterMidpt - miterVec); } }; switch (fJoin) { case SkPaint::kMiter_Join: miterJoin(prev, curr); break; default: SkDebugf("Unhandled join %d\n", fJoin); miterJoin(prev, curr); break; } } void SkPathStroker2::appendPathReversed(const PathRecorder& path, PathRecorder* result) { const int numVerbs = path.countVerbs(); const int numPoints = path.countPoints(); const std::vector& verbs = path.verbs(); const std::vector& points = path.points(); for (int i = numVerbs - 1, j = numPoints; i >= 0; i--) { auto verb = static_cast(verbs[i]); switch (verb) { case SkPath::kLine_Verb: { j -= 1; SkASSERT(j >= 1); result->lineTo(points[j - 1]); break; } case SkPath::kMove_Verb: // Ignore break; default: SkASSERT(false); break; } } } SkPoint SkPathStroker2::unitNormal(const PathSegment& seg, float t) { if (seg.fVerb != SkPath::kLine_Verb) { SkDebugf("Unhandled verb for unit normal %d\n", seg.fVerb); } (void)t; // Not needed for lines const SkPoint tangent = seg.fPoints[1] - seg.fPoints[0]; const SkPoint normal = rotate90(tangent); return setLength(normal, 1); } float SkPathStroker2::squaredLineLength(const PathSegment& lineSeg) { SkASSERT(lineSeg.fVerb == SkPath::kLine_Verb); const SkPoint diff = lineSeg.fPoints[1] - lineSeg.fPoints[0]; return diff.dot(diff); } } // namespace ////////////////////////////////////////////////////////////////////////////// class SimpleStroker : public Sample { bool fShowSkiaStroke, fShowHidden, fShowSkeleton; float fWidth = 175; SkPaint fPtsPaint, fStrokePaint, fMirrorStrokePaint, fNewFillPaint, fHiddenPaint, fSkeletonPaint; static constexpr int kN = 3; public: SkPoint fPts[kN]; SimpleStroker() : fShowSkiaStroke(true), fShowHidden(true), fShowSkeleton(true) { fPts[0] = {500, 200}; fPts[1] = {300, 200}; fPts[2] = {100, 100}; fPtsPaint.setAntiAlias(true); fPtsPaint.setStrokeWidth(10); fPtsPaint.setStrokeCap(SkPaint::kRound_Cap); fStrokePaint.setAntiAlias(true); fStrokePaint.setStyle(SkPaint::kStroke_Style); fStrokePaint.setColor(0x80FF0000); fMirrorStrokePaint.setAntiAlias(true); fMirrorStrokePaint.setStyle(SkPaint::kStroke_Style); fMirrorStrokePaint.setColor(0x80FFFF00); fNewFillPaint.setAntiAlias(true); fNewFillPaint.setColor(0x8000FF00); fHiddenPaint.setAntiAlias(true); fHiddenPaint.setStyle(SkPaint::kStroke_Style); fHiddenPaint.setColor(0xFF0000FF); fSkeletonPaint.setAntiAlias(true); fSkeletonPaint.setStyle(SkPaint::kStroke_Style); fSkeletonPaint.setColor(SK_ColorRED); } void toggle(bool& value) { value = !value; } protected: SkString name() override { return SkString("SimpleStroker"); } bool onChar(SkUnichar uni) override { switch (uni) { case '1': this->toggle(fShowSkeleton); return true; case '2': this->toggle(fShowSkiaStroke); return true; case '3': this->toggle(fShowHidden); return true; case '-': fWidth -= 5; return true; case '=': fWidth += 5; return true; default: break; } return false; } void makePath(SkPath* path) { path->moveTo(fPts[0]); for (int i = 1; i < kN; ++i) { path->lineTo(fPts[i]); } } void onDrawContent(SkCanvas* canvas) override { canvas->drawColor(0xFFEEEEEE); SkPath path; this->makePath(&path); fStrokePaint.setStrokeWidth(fWidth); // The correct result if (fShowSkiaStroke) { canvas->drawPath(path, fStrokePaint); } // Simple stroker result SkPathStroker2 stroker; SkPath fillPath = stroker.getFillPath(path, fStrokePaint); canvas->drawPath(fillPath, fNewFillPaint); if (fShowHidden) { canvas->drawPath(fillPath, fHiddenPaint); } if (fShowSkeleton) { canvas->drawPath(path, fSkeletonPaint); } canvas->drawPoints(SkCanvas::kPoints_PointMode, kN, fPts, fPtsPaint); // Draw a mirror but using Skia's stroker. canvas->translate(0, 400); fMirrorStrokePaint.setStrokeWidth(fWidth); canvas->drawPath(path, fMirrorStrokePaint); if (fShowHidden) { SkPath hidden; fStrokePaint.getFillPath(path, &hidden); canvas->drawPath(hidden, fHiddenPaint); } if (fShowSkeleton) { canvas->drawPath(path, fSkeletonPaint); } } Sample::Click* onFindClickHandler(SkScalar x, SkScalar y, skui::ModifierKey modi) override { const SkScalar tol = 4; const SkRect r = SkRect::MakeXYWH(x - tol, y - tol, tol * 2, tol * 2); for (int i = 0; i < kN; ++i) { if (r.intersects(SkRect::MakeXYWH(fPts[i].fX, fPts[i].fY, 1, 1))) { return new Click([this, i](Click* c) { fPts[i] = c->fCurr; return true; }); } } return nullptr; } private: typedef Sample INHERITED; }; DEF_SAMPLE(return new SimpleStroker;)