/* -*- Mode: C++; tab-width: 8; indent-tabs-mode: nil; c-basic-offset: 2 -*- */ /* vim: set ts=8 sts=2 et sw=2 tw=80: */ /* This Source Code Form is subject to the terms of the Mozilla Public * License, v. 2.0. If a copy of the MPL was not distributed with this * file, You can obtain one at http://mozilla.org/MPL/2.0/. */ #include "SVGPathSegUtils.h" #include "mozilla/ArrayUtils.h" // MOZ_ARRAY_LENGTH #include "gfx2DGlue.h" #include "SVGPathDataParser.h" #include "nsMathUtils.h" #include "nsTextFormatter.h" using namespace mozilla::dom::SVGPathSeg_Binding; using namespace mozilla::gfx; namespace mozilla { static const float PATH_SEG_LENGTH_TOLERANCE = 0.0000001f; static const uint32_t MAX_RECURSION = 10; /* static */ void SVGPathSegUtils::GetValueAsString(const float* aSeg, nsAString& aValue) { // Adding new seg type? Is the formatting below acceptable for the new types? static_assert( NS_SVG_PATH_SEG_LAST_VALID_TYPE == PATHSEG_CURVETO_QUADRATIC_SMOOTH_REL, "Update GetValueAsString for the new value."); static_assert(NS_SVG_PATH_SEG_MAX_ARGS == 7, "Add another case to the switch below."); uint32_t type = DecodeType(aSeg[0]); char16_t typeAsChar = GetPathSegTypeAsLetter(type); // Special case arcs: if (IsArcType(type)) { bool largeArcFlag = aSeg[4] != 0.0f; bool sweepFlag = aSeg[5] != 0.0f; nsTextFormatter::ssprintf(aValue, u"%c%g,%g %g %d,%d %g,%g", typeAsChar, aSeg[1], aSeg[2], aSeg[3], largeArcFlag, sweepFlag, aSeg[6], aSeg[7]); } else { switch (ArgCountForType(type)) { case 0: aValue = typeAsChar; break; case 1: nsTextFormatter::ssprintf(aValue, u"%c%g", typeAsChar, aSeg[1]); break; case 2: nsTextFormatter::ssprintf(aValue, u"%c%g,%g", typeAsChar, aSeg[1], aSeg[2]); break; case 4: nsTextFormatter::ssprintf(aValue, u"%c%g,%g %g,%g", typeAsChar, aSeg[1], aSeg[2], aSeg[3], aSeg[4]); break; case 6: nsTextFormatter::ssprintf(aValue, u"%c%g,%g %g,%g %g,%g", typeAsChar, aSeg[1], aSeg[2], aSeg[3], aSeg[4], aSeg[5], aSeg[6]); break; default: MOZ_ASSERT(false, "Unknown segment type"); aValue = u""; return; } } } static float CalcDistanceBetweenPoints(const Point& aP1, const Point& aP2) { return NS_hypot(aP2.x - aP1.x, aP2.y - aP1.y); } static void SplitQuadraticBezier(const Point* aCurve, Point* aLeft, Point* aRight) { aLeft[0].x = aCurve[0].x; aLeft[0].y = aCurve[0].y; aRight[2].x = aCurve[2].x; aRight[2].y = aCurve[2].y; aLeft[1].x = (aCurve[0].x + aCurve[1].x) / 2; aLeft[1].y = (aCurve[0].y + aCurve[1].y) / 2; aRight[1].x = (aCurve[1].x + aCurve[2].x) / 2; aRight[1].y = (aCurve[1].y + aCurve[2].y) / 2; aLeft[2].x = aRight[0].x = (aLeft[1].x + aRight[1].x) / 2; aLeft[2].y = aRight[0].y = (aLeft[1].y + aRight[1].y) / 2; } static void SplitCubicBezier(const Point* aCurve, Point* aLeft, Point* aRight) { Point tmp; tmp.x = (aCurve[1].x + aCurve[2].x) / 4; tmp.y = (aCurve[1].y + aCurve[2].y) / 4; aLeft[0].x = aCurve[0].x; aLeft[0].y = aCurve[0].y; aRight[3].x = aCurve[3].x; aRight[3].y = aCurve[3].y; aLeft[1].x = (aCurve[0].x + aCurve[1].x) / 2; aLeft[1].y = (aCurve[0].y + aCurve[1].y) / 2; aRight[2].x = (aCurve[2].x + aCurve[3].x) / 2; aRight[2].y = (aCurve[2].y + aCurve[3].y) / 2; aLeft[2].x = aLeft[1].x / 2 + tmp.x; aLeft[2].y = aLeft[1].y / 2 + tmp.y; aRight[1].x = aRight[2].x / 2 + tmp.x; aRight[1].y = aRight[2].y / 2 + tmp.y; aLeft[3].x = aRight[0].x = (aLeft[2].x + aRight[1].x) / 2; aLeft[3].y = aRight[0].y = (aLeft[2].y + aRight[1].y) / 2; } static float CalcBezLengthHelper(const Point* aCurve, uint32_t aNumPts, uint32_t aRecursionCount, void (*aSplit)(const Point*, Point*, Point*)) { Point left[4]; Point right[4]; float length = 0, dist; for (uint32_t i = 0; i < aNumPts - 1; i++) { length += CalcDistanceBetweenPoints(aCurve[i], aCurve[i + 1]); } dist = CalcDistanceBetweenPoints(aCurve[0], aCurve[aNumPts - 1]); if (length - dist > PATH_SEG_LENGTH_TOLERANCE && aRecursionCount < MAX_RECURSION) { aSplit(aCurve, left, right); ++aRecursionCount; return CalcBezLengthHelper(left, aNumPts, aRecursionCount, aSplit) + CalcBezLengthHelper(right, aNumPts, aRecursionCount, aSplit); } return length; } static inline float CalcLengthOfCubicBezier(const Point& aPos, const Point& aCP1, const Point& aCP2, const Point& aTo) { Point curve[4] = {aPos, aCP1, aCP2, aTo}; return CalcBezLengthHelper(curve, 4, 0, SplitCubicBezier); } static inline float CalcLengthOfQuadraticBezier(const Point& aPos, const Point& aCP, const Point& aTo) { Point curve[3] = {aPos, aCP, aTo}; return CalcBezLengthHelper(curve, 3, 0, SplitQuadraticBezier); } static void TraverseClosePath(const float* aArgs, SVGPathTraversalState& aState) { if (aState.ShouldUpdateLengthAndControlPoints()) { aState.length += CalcDistanceBetweenPoints(aState.pos, aState.start); aState.cp1 = aState.cp2 = aState.start; } aState.pos = aState.start; } static void TraverseMovetoAbs(const float* aArgs, SVGPathTraversalState& aState) { aState.start = aState.pos = Point(aArgs[0], aArgs[1]); if (aState.ShouldUpdateLengthAndControlPoints()) { // aState.length is unchanged, since move commands don't affect path length. aState.cp1 = aState.cp2 = aState.start; } } static void TraverseMovetoRel(const float* aArgs, SVGPathTraversalState& aState) { aState.start = aState.pos += Point(aArgs[0], aArgs[1]); if (aState.ShouldUpdateLengthAndControlPoints()) { // aState.length is unchanged, since move commands don't affect path length. aState.cp1 = aState.cp2 = aState.start; } } static void TraverseLinetoAbs(const float* aArgs, SVGPathTraversalState& aState) { Point to(aArgs[0], aArgs[1]); if (aState.ShouldUpdateLengthAndControlPoints()) { aState.length += CalcDistanceBetweenPoints(aState.pos, to); aState.cp1 = aState.cp2 = to; } aState.pos = to; } static void TraverseLinetoRel(const float* aArgs, SVGPathTraversalState& aState) { Point to = aState.pos + Point(aArgs[0], aArgs[1]); if (aState.ShouldUpdateLengthAndControlPoints()) { aState.length += CalcDistanceBetweenPoints(aState.pos, to); aState.cp1 = aState.cp2 = to; } aState.pos = to; } static void TraverseLinetoHorizontalAbs(const float* aArgs, SVGPathTraversalState& aState) { Point to(aArgs[0], aState.pos.y); if (aState.ShouldUpdateLengthAndControlPoints()) { aState.length += std::fabs(to.x - aState.pos.x); aState.cp1 = aState.cp2 = to; } aState.pos = to; } static void TraverseLinetoHorizontalRel(const float* aArgs, SVGPathTraversalState& aState) { aState.pos.x += aArgs[0]; if (aState.ShouldUpdateLengthAndControlPoints()) { aState.length += std::fabs(aArgs[0]); aState.cp1 = aState.cp2 = aState.pos; } } static void TraverseLinetoVerticalAbs(const float* aArgs, SVGPathTraversalState& aState) { Point to(aState.pos.x, aArgs[0]); if (aState.ShouldUpdateLengthAndControlPoints()) { aState.length += std::fabs(to.y - aState.pos.y); aState.cp1 = aState.cp2 = to; } aState.pos = to; } static void TraverseLinetoVerticalRel(const float* aArgs, SVGPathTraversalState& aState) { aState.pos.y += aArgs[0]; if (aState.ShouldUpdateLengthAndControlPoints()) { aState.length += std::fabs(aArgs[0]); aState.cp1 = aState.cp2 = aState.pos; } } static void TraverseCurvetoCubicAbs(const float* aArgs, SVGPathTraversalState& aState) { Point to(aArgs[4], aArgs[5]); if (aState.ShouldUpdateLengthAndControlPoints()) { Point cp1(aArgs[0], aArgs[1]); Point cp2(aArgs[2], aArgs[3]); aState.length += (float)CalcLengthOfCubicBezier(aState.pos, cp1, cp2, to); aState.cp2 = cp2; aState.cp1 = to; } aState.pos = to; } static void TraverseCurvetoCubicSmoothAbs(const float* aArgs, SVGPathTraversalState& aState) { Point to(aArgs[2], aArgs[3]); if (aState.ShouldUpdateLengthAndControlPoints()) { Point cp1 = aState.pos - (aState.cp2 - aState.pos); Point cp2(aArgs[0], aArgs[1]); aState.length += (float)CalcLengthOfCubicBezier(aState.pos, cp1, cp2, to); aState.cp2 = cp2; aState.cp1 = to; } aState.pos = to; } static void TraverseCurvetoCubicRel(const float* aArgs, SVGPathTraversalState& aState) { Point to = aState.pos + Point(aArgs[4], aArgs[5]); if (aState.ShouldUpdateLengthAndControlPoints()) { Point cp1 = aState.pos + Point(aArgs[0], aArgs[1]); Point cp2 = aState.pos + Point(aArgs[2], aArgs[3]); aState.length += (float)CalcLengthOfCubicBezier(aState.pos, cp1, cp2, to); aState.cp2 = cp2; aState.cp1 = to; } aState.pos = to; } static void TraverseCurvetoCubicSmoothRel(const float* aArgs, SVGPathTraversalState& aState) { Point to = aState.pos + Point(aArgs[2], aArgs[3]); if (aState.ShouldUpdateLengthAndControlPoints()) { Point cp1 = aState.pos - (aState.cp2 - aState.pos); Point cp2 = aState.pos + Point(aArgs[0], aArgs[1]); aState.length += (float)CalcLengthOfCubicBezier(aState.pos, cp1, cp2, to); aState.cp2 = cp2; aState.cp1 = to; } aState.pos = to; } static void TraverseCurvetoQuadraticAbs(const float* aArgs, SVGPathTraversalState& aState) { Point to(aArgs[2], aArgs[3]); if (aState.ShouldUpdateLengthAndControlPoints()) { Point cp(aArgs[0], aArgs[1]); aState.length += (float)CalcLengthOfQuadraticBezier(aState.pos, cp, to); aState.cp1 = cp; aState.cp2 = to; } aState.pos = to; } static void TraverseCurvetoQuadraticSmoothAbs(const float* aArgs, SVGPathTraversalState& aState) { Point to(aArgs[0], aArgs[1]); if (aState.ShouldUpdateLengthAndControlPoints()) { Point cp = aState.pos - (aState.cp1 - aState.pos); aState.length += (float)CalcLengthOfQuadraticBezier(aState.pos, cp, to); aState.cp1 = cp; aState.cp2 = to; } aState.pos = to; } static void TraverseCurvetoQuadraticRel(const float* aArgs, SVGPathTraversalState& aState) { Point to = aState.pos + Point(aArgs[2], aArgs[3]); if (aState.ShouldUpdateLengthAndControlPoints()) { Point cp = aState.pos + Point(aArgs[0], aArgs[1]); aState.length += (float)CalcLengthOfQuadraticBezier(aState.pos, cp, to); aState.cp1 = cp; aState.cp2 = to; } aState.pos = to; } static void TraverseCurvetoQuadraticSmoothRel(const float* aArgs, SVGPathTraversalState& aState) { Point to = aState.pos + Point(aArgs[0], aArgs[1]); if (aState.ShouldUpdateLengthAndControlPoints()) { Point cp = aState.pos - (aState.cp1 - aState.pos); aState.length += (float)CalcLengthOfQuadraticBezier(aState.pos, cp, to); aState.cp1 = cp; aState.cp2 = to; } aState.pos = to; } static void TraverseArcAbs(const float* aArgs, SVGPathTraversalState& aState) { Point to(aArgs[5], aArgs[6]); if (aState.ShouldUpdateLengthAndControlPoints()) { float dist = 0; Point radii(aArgs[0], aArgs[1]); if (radii.x == 0.0f || radii.y == 0.0f) { dist = CalcDistanceBetweenPoints(aState.pos, to); } else { Point bez[4] = {aState.pos, Point(0, 0), Point(0, 0), Point(0, 0)}; SVGArcConverter converter(aState.pos, to, radii, aArgs[2], aArgs[3] != 0, aArgs[4] != 0); while (converter.GetNextSegment(&bez[1], &bez[2], &bez[3])) { dist += CalcBezLengthHelper(bez, 4, 0, SplitCubicBezier); bez[0] = bez[3]; } } aState.length += dist; aState.cp1 = aState.cp2 = to; } aState.pos = to; } static void TraverseArcRel(const float* aArgs, SVGPathTraversalState& aState) { Point to = aState.pos + Point(aArgs[5], aArgs[6]); if (aState.ShouldUpdateLengthAndControlPoints()) { float dist = 0; Point radii(aArgs[0], aArgs[1]); if (radii.x == 0.0f || radii.y == 0.0f) { dist = CalcDistanceBetweenPoints(aState.pos, to); } else { Point bez[4] = {aState.pos, Point(0, 0), Point(0, 0), Point(0, 0)}; SVGArcConverter converter(aState.pos, to, radii, aArgs[2], aArgs[3] != 0, aArgs[4] != 0); while (converter.GetNextSegment(&bez[1], &bez[2], &bez[3])) { dist += CalcBezLengthHelper(bez, 4, 0, SplitCubicBezier); bez[0] = bez[3]; } } aState.length += dist; aState.cp1 = aState.cp2 = to; } aState.pos = to; } using TraverseFunc = void (*)(const float*, SVGPathTraversalState&); static TraverseFunc gTraverseFuncTable[NS_SVG_PATH_SEG_TYPE_COUNT] = { nullptr, // 0 == PATHSEG_UNKNOWN TraverseClosePath, TraverseMovetoAbs, TraverseMovetoRel, TraverseLinetoAbs, TraverseLinetoRel, TraverseCurvetoCubicAbs, TraverseCurvetoCubicRel, TraverseCurvetoQuadraticAbs, TraverseCurvetoQuadraticRel, TraverseArcAbs, TraverseArcRel, TraverseLinetoHorizontalAbs, TraverseLinetoHorizontalRel, TraverseLinetoVerticalAbs, TraverseLinetoVerticalRel, TraverseCurvetoCubicSmoothAbs, TraverseCurvetoCubicSmoothRel, TraverseCurvetoQuadraticSmoothAbs, TraverseCurvetoQuadraticSmoothRel}; /* static */ void SVGPathSegUtils::TraversePathSegment(const float* aData, SVGPathTraversalState& aState) { static_assert( MOZ_ARRAY_LENGTH(gTraverseFuncTable) == NS_SVG_PATH_SEG_TYPE_COUNT, "gTraverseFuncTable is out of date"); uint32_t type = DecodeType(aData[0]); gTraverseFuncTable[type](aData + 1, aState); } } // namespace mozilla