/* * Copyright 2012 Google Inc. * * Use of this source code is governed by a BSD-style license that can be * found in the LICENSE file. */ #ifndef SkOpSegment_DEFINE #define SkOpSegment_DEFINE #include "SkOpAngle.h" #include "SkOpSpan.h" #include "SkPathOpsBounds.h" #include "SkPathOpsCurve.h" #include "SkTArray.h" #include "SkTDArray.h" #if defined(SK_DEBUG) || !FORCE_RELEASE #include "SkThread.h" #endif struct SkCoincidence; class SkPathWriter; class SkOpSegment { public: SkOpSegment() { #if defined(SK_DEBUG) || !FORCE_RELEASE fID = sk_atomic_inc(&SkPathOpsDebug::gSegmentID); #endif } bool operator<(const SkOpSegment& rh) const { return fBounds.fTop < rh.fBounds.fTop; } struct AlignedSpan { double fOldT; double fT; SkPoint fOldPt; SkPoint fPt; const SkOpSegment* fSegment; const SkOpSegment* fOther1; const SkOpSegment* fOther2; }; const SkPathOpsBounds& bounds() const { return fBounds; } // OPTIMIZE // when the edges are initially walked, they don't automatically get the prior and next // edges assigned to positions t=0 and t=1. Doing that would remove the need for this check, // and would additionally remove the need for similar checks in condition edges. It would // also allow intersection code to assume end of segment intersections (maybe?) bool complete() const { int count = fTs.count(); return count > 1 && fTs[0].fT == 0 && fTs[--count].fT == 1; } int count() const { return fTs.count(); } bool done() const { SkASSERT(fDoneSpans <= fTs.count()); return fDoneSpans == fTs.count(); } bool done(int min) const { return fTs[min].fDone; } bool done(const SkOpAngle* angle) const { return done(SkMin32(angle->start(), angle->end())); } SkDPoint dPtAtT(double mid) const { return (*CurveDPointAtT[SkPathOpsVerbToPoints(fVerb)])(fPts, mid); } SkVector dxdy(int index) const { return (*CurveSlopeAtT[SkPathOpsVerbToPoints(fVerb)])(fPts, fTs[index].fT); } SkScalar dy(int index) const { return dxdy(index).fY; } bool hasMultiples() const { return fMultiples; } bool hasSmall() const { return fSmall; } bool hasTiny() const { return fTiny; } bool intersected() const { return fTs.count() > 0; } bool isCanceled(int tIndex) const { return fTs[tIndex].fWindValue == 0 && fTs[tIndex].fOppValue == 0; } bool isConnected(int startIndex, int endIndex) const { return fTs[startIndex].fWindSum != SK_MinS32 || fTs[endIndex].fWindSum != SK_MinS32; } bool isHorizontal() const { return fBounds.fTop == fBounds.fBottom; } bool isVertical() const { return fBounds.fLeft == fBounds.fRight; } bool isVertical(int start, int end) const { return (*CurveIsVertical[SkPathOpsVerbToPoints(fVerb)])(fPts, start, end); } bool operand() const { return fOperand; } int oppSign(const SkOpAngle* angle) const { SkASSERT(angle->segment() == this); return oppSign(angle->start(), angle->end()); } int oppSign(int startIndex, int endIndex) const { int result = startIndex < endIndex ? -fTs[startIndex].fOppValue : fTs[endIndex].fOppValue; #if DEBUG_WIND_BUMP SkDebugf("%s oppSign=%d\n", __FUNCTION__, result); #endif return result; } int oppSum(int tIndex) const { return fTs[tIndex].fOppSum; } int oppSum(const SkOpAngle* angle) const { int lesser = SkMin32(angle->start(), angle->end()); return fTs[lesser].fOppSum; } int oppValue(int tIndex) const { return fTs[tIndex].fOppValue; } int oppValue(const SkOpAngle* angle) const { int lesser = SkMin32(angle->start(), angle->end()); return fTs[lesser].fOppValue; } #if DEBUG_VALIDATE bool oppXor() const { return fOppXor; } #endif SkPoint ptAtT(double mid) const { return (*CurvePointAtT[SkPathOpsVerbToPoints(fVerb)])(fPts, mid); } const SkPoint* pts() const { return fPts; } void reset() { init(NULL, (SkPath::Verb) -1, false, false); fBounds.set(SK_ScalarMax, SK_ScalarMax, SK_ScalarMax, SK_ScalarMax); fTs.reset(); } void setOppXor(bool isOppXor) { fOppXor = isOppXor; } void setUpWinding(int index, int endIndex, int* maxWinding, int* sumWinding) { int deltaSum = spanSign(index, endIndex); *maxWinding = *sumWinding; *sumWinding -= deltaSum; } const SkOpSpan& span(int tIndex) const { return fTs[tIndex]; } const SkOpAngle* spanToAngle(int tStart, int tEnd) const { SkASSERT(tStart != tEnd); const SkOpSpan& span = fTs[tStart]; return tStart < tEnd ? span.fToAngle : span.fFromAngle; } // FIXME: create some sort of macro or template that avoids casting SkOpAngle* spanToAngle(int tStart, int tEnd) { const SkOpAngle* cAngle = (const_cast<const SkOpSegment*>(this))->spanToAngle(tStart, tEnd); return const_cast<SkOpAngle*>(cAngle); } int spanSign(const SkOpAngle* angle) const { SkASSERT(angle->segment() == this); return spanSign(angle->start(), angle->end()); } int spanSign(int startIndex, int endIndex) const { int result = startIndex < endIndex ? -fTs[startIndex].fWindValue : fTs[endIndex].fWindValue; #if DEBUG_WIND_BUMP SkDebugf("%s spanSign=%d\n", __FUNCTION__, result); #endif return result; } double t(int tIndex) const { return fTs[tIndex].fT; } double tAtMid(int start, int end, double mid) const { return fTs[start].fT * (1 - mid) + fTs[end].fT * mid; } void updatePts(const SkPoint pts[]) { fPts = pts; } SkPath::Verb verb() const { return fVerb; } int windSum(int tIndex) const { return fTs[tIndex].fWindSum; } int windValue(int tIndex) const { return fTs[tIndex].fWindValue; } #if defined(SK_DEBUG) || DEBUG_WINDING SkScalar xAtT(int index) const { return xAtT(&fTs[index]); } #endif #if DEBUG_VALIDATE bool _xor() const { // FIXME: used only by SkOpAngle::debugValidateLoop() return fXor; } #endif const SkPoint& xyAtT(const SkOpSpan* span) const { return span->fPt; } const SkPoint& xyAtT(int index) const { return xyAtT(&fTs[index]); } #if defined(SK_DEBUG) || DEBUG_WINDING SkScalar yAtT(int index) const { return yAtT(&fTs[index]); } #endif const SkOpAngle* activeAngle(int index, int* start, int* end, bool* done, bool* sortable) const; SkPoint activeLeftTop(int* firstT) const; bool activeOp(int index, int endIndex, int xorMiMask, int xorSuMask, SkPathOp op); bool activeWinding(int index, int endIndex); void addCubic(const SkPoint pts[4], bool operand, bool evenOdd); void addCurveTo(int start, int end, SkPathWriter* path, bool active) const; void addEndSpan(int endIndex); void addLine(const SkPoint pts[2], bool operand, bool evenOdd); void addOtherT(int index, double otherT, int otherIndex); void addQuad(const SkPoint pts[3], bool operand, bool evenOdd); void addSimpleAngle(int endIndex); int addSelfT(const SkPoint& pt, double newT); void addStartSpan(int endIndex); int addT(SkOpSegment* other, const SkPoint& pt, double newT); void addTCancel(const SkPoint& startPt, const SkPoint& endPt, SkOpSegment* other); void addTCoincident(const SkPoint& startPt, const SkPoint& endPt, double endT, SkOpSegment* other); const SkOpSpan* addTPair(double t, SkOpSegment* other, double otherT, bool borrowWind, const SkPoint& pt); const SkOpSpan* addTPair(double t, SkOpSegment* other, double otherT, bool borrowWind, const SkPoint& pt, const SkPoint& oPt); void alignMultiples(SkTDArray<AlignedSpan>* aligned); bool alignSpan(int index, double thisT, const SkPoint& thisPt); void alignSpanState(int start, int end); bool betweenTs(int lesser, double testT, int greater) const; void blindCancel(const SkCoincidence& coincidence, SkOpSegment* other); void blindCoincident(const SkCoincidence& coincidence, SkOpSegment* other); bool calcAngles(); double calcMissingTEnd(const SkOpSegment* ref, double loEnd, double min, double max, double hiEnd, const SkOpSegment* other, int thisEnd); double calcMissingTStart(const SkOpSegment* ref, double loEnd, double min, double max, double hiEnd, const SkOpSegment* other, int thisEnd); void checkDuplicates(); void checkEnds(); void checkMultiples(); void checkSmall(); bool checkSmall(int index) const; void checkTiny(); int computeSum(int startIndex, int endIndex, SkOpAngle::IncludeType includeType); bool containsPt(const SkPoint& , int index, int endIndex) const; int crossedSpanY(const SkPoint& basePt, SkScalar* bestY, double* hitT, bool* hitSomething, double mid, bool opp, bool current) const; bool findCoincidentMatch(const SkOpSpan* span, const SkOpSegment* other, int oStart, int oEnd, int step, SkPoint* startPt, SkPoint* endPt, double* endT) const; SkOpSegment* findNextOp(SkTDArray<SkOpSpan*>* chase, int* nextStart, int* nextEnd, bool* unsortable, SkPathOp op, int xorMiMask, int xorSuMask); SkOpSegment* findNextWinding(SkTDArray<SkOpSpan*>* chase, int* nextStart, int* nextEnd, bool* unsortable); SkOpSegment* findNextXor(int* nextStart, int* nextEnd, bool* unsortable); int findExactT(double t, const SkOpSegment* ) const; int findOtherT(double t, const SkOpSegment* ) const; int findT(double t, const SkPoint& , const SkOpSegment* ) const; SkOpSegment* findTop(int* tIndex, int* endIndex, bool* unsortable, bool firstPass); void fixOtherTIndex(); void initWinding(int start, int end, SkOpAngle::IncludeType angleIncludeType); void initWinding(int start, int end, double tHit, int winding, SkScalar hitDx, int oppWind, SkScalar hitOppDx); bool isMissing(double startT, const SkPoint& pt) const; bool isTiny(const SkOpAngle* angle) const; bool joinCoincidence(SkOpSegment* other, double otherT, const SkPoint& otherPt, int step, bool cancel); SkOpSpan* markAndChaseDoneBinary(int index, int endIndex); SkOpSpan* markAndChaseDoneUnary(int index, int endIndex); SkOpSpan* markAndChaseWinding(const SkOpAngle* angle, int winding, int oppWinding); SkOpSpan* markAngle(int maxWinding, int sumWinding, int oppMaxWinding, int oppSumWinding, const SkOpAngle* angle); void markDone(int index, int winding); void markDoneBinary(int index); void markDoneUnary(int index); bool nextCandidate(int* start, int* end) const; int nextSpan(int from, int step) const; void pinT(const SkPoint& pt, double* t); void setUpWindings(int index, int endIndex, int* sumMiWinding, int* sumSuWinding, int* maxWinding, int* sumWinding, int* oppMaxWinding, int* oppSumWinding); void sortAngles(); bool subDivide(int start, int end, SkPoint edge[4]) const; bool subDivide(int start, int end, SkDCubic* result) const; void undoneSpan(int* start, int* end); int updateOppWindingReverse(const SkOpAngle* angle) const; int updateWindingReverse(const SkOpAngle* angle) const; static bool UseInnerWinding(int outerWinding, int innerWinding); static bool UseInnerWindingReverse(int outerWinding, int innerWinding); int windingAtT(double tHit, int tIndex, bool crossOpp, SkScalar* dx) const; int windSum(const SkOpAngle* angle) const; // available for testing only #if defined(SK_DEBUG) || !FORCE_RELEASE int debugID() const { return fID; } #else int debugID() const { return -1; } #endif #if DEBUG_ACTIVE_SPANS || DEBUG_ACTIVE_SPANS_FIRST_ONLY void debugShowActiveSpans() const; #endif #if DEBUG_CONCIDENT void debugShowTs(const char* prefix) const; #endif #if DEBUG_SHOW_WINDING int debugShowWindingValues(int slotCount, int ofInterest) const; #endif const SkTDArray<SkOpSpan>& debugSpans() const; void debugValidate() const; // available to testing only const SkOpAngle* debugLastAngle() const; void dumpAngles() const; void dumpContour(int firstID, int lastID) const; void dumpPts() const; void dumpSpans() const; private: struct MissingSpan { double fT; double fEndT; SkOpSegment* fSegment; SkOpSegment* fOther; double fOtherT; SkPoint fPt; }; const SkOpAngle* activeAngleInner(int index, int* start, int* end, bool* done, bool* sortable) const; const SkOpAngle* activeAngleOther(int index, int* start, int* end, bool* done, bool* sortable) const; bool activeOp(int xorMiMask, int xorSuMask, int index, int endIndex, SkPathOp op, int* sumMiWinding, int* sumSuWinding); bool activeWinding(int index, int endIndex, int* sumWinding); void addCancelOutsides(const SkPoint& startPt, const SkPoint& endPt, SkOpSegment* other); void addCoinOutsides(const SkPoint& startPt, const SkPoint& endPt, SkOpSegment* other); SkOpAngle* addSingletonAngleDown(SkOpSegment** otherPtr, SkOpAngle** ); SkOpAngle* addSingletonAngleUp(SkOpSegment** otherPtr, SkOpAngle** ); SkOpAngle* addSingletonAngles(int step); void alignSpan(const SkPoint& newPt, double newT, const SkOpSegment* other, double otherT, const SkOpSegment* other2, SkOpSpan* oSpan, SkTDArray<AlignedSpan>* ); bool betweenPoints(double midT, const SkPoint& pt1, const SkPoint& pt2) const; void bumpCoincidentBlind(bool binary, int index, int last); void bumpCoincidentThis(const SkOpSpan& oTest, bool binary, int* index, SkTArray<SkPoint, true>* outsideTs); void bumpCoincidentOBlind(int index, int last); void bumpCoincidentOther(const SkOpSpan& oTest, int* index, SkTArray<SkPoint, true>* outsideTs); bool bumpSpan(SkOpSpan* span, int windDelta, int oppDelta); bool calcLoopSpanCount(const SkOpSpan& thisSpan, int* smallCounts); bool checkForSmall(const SkOpSpan* span, const SkPoint& pt, double newT, int* less, int* more) const; void checkLinks(const SkOpSpan* , SkTArray<MissingSpan, true>* missingSpans) const; static void CheckOneLink(const SkOpSpan* test, const SkOpSpan* oSpan, const SkOpSpan* oFirst, const SkOpSpan* oLast, const SkOpSpan** missingPtr, SkTArray<MissingSpan, true>* missingSpans); int checkSetAngle(int tIndex) const; void checkSmallCoincidence(const SkOpSpan& span, SkTArray<MissingSpan, true>* ); bool coincidentSmall(const SkPoint& pt, double t, const SkOpSegment* other) const; bool clockwise(int tStart, int tEnd, bool* swap) const; static void ComputeOneSum(const SkOpAngle* baseAngle, SkOpAngle* nextAngle, SkOpAngle::IncludeType ); static void ComputeOneSumReverse(const SkOpAngle* baseAngle, SkOpAngle* nextAngle, SkOpAngle::IncludeType ); bool containsT(double t, const SkOpSegment* other, double otherT) const; bool decrementSpan(SkOpSpan* span); int findEndSpan(int endIndex) const; int findStartSpan(int startIndex) const; int firstActive(int tIndex) const; const SkOpSpan& firstSpan(const SkOpSpan& thisSpan) const; void init(const SkPoint pts[], SkPath::Verb verb, bool operand, bool evenOdd); bool inCoincidentSpan(double t, const SkOpSegment* other) const; bool inLoop(const SkOpAngle* baseAngle, int spanCount, int* indexPtr) const; #if OLD_CHASE bool isSimple(int end) const; #else SkOpSegment* isSimple(int* end, int* step); #endif bool isTiny(int index) const; const SkOpSpan& lastSpan(const SkOpSpan& thisSpan) const; void matchWindingValue(int tIndex, double t, bool borrowWind); SkOpSpan* markAndChaseDone(int index, int endIndex, int winding); SkOpSpan* markAndChaseDoneBinary(const SkOpAngle* angle, int winding, int oppWinding); SkOpSpan* markAndChaseWinding(const SkOpAngle* angle, int winding); SkOpSpan* markAndChaseWinding(int index, int endIndex, int winding); SkOpSpan* markAndChaseWinding(int index, int endIndex, int winding, int oppWinding); SkOpSpan* markAngle(int maxWinding, int sumWinding, const SkOpAngle* angle); void markDoneBinary(int index, int winding, int oppWinding); SkOpSpan* markAndChaseDoneUnary(const SkOpAngle* angle, int winding); void markOneDone(const char* funName, int tIndex, int winding); void markOneDoneBinary(const char* funName, int tIndex); void markOneDoneBinary(const char* funName, int tIndex, int winding, int oppWinding); void markOneDoneUnary(const char* funName, int tIndex); SkOpSpan* markOneWinding(const char* funName, int tIndex, int winding); SkOpSpan* markOneWinding(const char* funName, int tIndex, int winding, int oppWinding); void markWinding(int index, int winding); void markWinding(int index, int winding, int oppWinding); bool monotonicInY(int tStart, int tEnd) const; bool multipleEnds() const { return fTs[count() - 2].fT == 1; } bool multipleStarts() const { return fTs[1].fT == 0; } SkOpSegment* nextChase(int* index, int* step, int* min, SkOpSpan** last); int nextExactSpan(int from, int step) const; bool serpentine(int tStart, int tEnd) const; void setCoincidentRange(const SkPoint& startPt, const SkPoint& endPt, SkOpSegment* other); void setFromAngle(int endIndex, SkOpAngle* ); void setToAngle(int endIndex, SkOpAngle* ); void setUpWindings(int index, int endIndex, int* sumMiWinding, int* maxWinding, int* sumWinding); void subDivideBounds(int start, int end, SkPathOpsBounds* bounds) const; static void TrackOutsidePair(SkTArray<SkPoint, true>* outsideTs, const SkPoint& endPt, const SkPoint& startPt); static void TrackOutside(SkTArray<SkPoint, true>* outsideTs, const SkPoint& startPt); int updateOppWinding(int index, int endIndex) const; int updateOppWinding(const SkOpAngle* angle) const; int updateWinding(int index, int endIndex) const; int updateWinding(const SkOpAngle* angle) const; int updateWindingReverse(int index, int endIndex) const; SkOpSpan* verifyOneWinding(const char* funName, int tIndex); SkOpSpan* verifyOneWindingU(const char* funName, int tIndex); SkScalar xAtT(const SkOpSpan* span) const { return xyAtT(span).fX; } SkScalar yAtT(const SkOpSpan* span) const { return xyAtT(span).fY; } void zeroSpan(SkOpSpan* span); #if DEBUG_SWAP_TOP bool controlsContainedByEnds(int tStart, int tEnd) const; #endif void debugAddAngle(int start, int end); #if DEBUG_CONCIDENT void debugAddTPair(double t, const SkOpSegment& other, double otherT) const; #endif #if DEBUG_ANGLE void debugCheckPointsEqualish(int tStart, int tEnd) const; #endif #if DEBUG_SWAP_TOP int debugInflections(int index, int endIndex) const; #endif #if DEBUG_MARK_DONE || DEBUG_UNSORTABLE void debugShowNewWinding(const char* fun, const SkOpSpan& span, int winding); void debugShowNewWinding(const char* fun, const SkOpSpan& span, int winding, int oppWinding); #endif #if DEBUG_WINDING static char as_digit(int value) { return value < 0 ? '?' : value <= 9 ? '0' + value : '+'; } #endif // available to testing only void debugConstruct(); void debugConstructCubic(SkPoint shortQuad[4]); void debugConstructLine(SkPoint shortQuad[2]); void debugConstructQuad(SkPoint shortQuad[3]); void debugReset(); void dumpDPts() const; void dumpSpan(int index) const; const SkPoint* fPts; SkPathOpsBounds fBounds; // FIXME: can't convert to SkTArray because it uses insert SkTDArray<SkOpSpan> fTs; // 2+ (always includes t=0 t=1) -- at least (number of spans) + 1 SkOpAngleSet fAngles; // empty or 2+ -- (number of non-zero spans) * 2 // OPTIMIZATION: could pack donespans, verb, operand, xor into 1 int-sized value int fDoneSpans; // quick check that segment is finished // OPTIMIZATION: force the following to be byte-sized SkPath::Verb fVerb; bool fLoop; // set if cubic intersects itself bool fMultiples; // set if curve intersects multiple other curves at one interior point bool fOperand; bool fXor; // set if original contour had even-odd fill bool fOppXor; // set if opposite operand had even-odd fill bool fSmall; // set if some span is small bool fTiny; // set if some span is tiny #if defined(SK_DEBUG) || !FORCE_RELEASE int fID; #endif friend class PathOpsSegmentTester; }; #endif