From ed5640d8b587fbcfed7dd7967f3de04b37a76f26 Mon Sep 17 00:00:00 2001 From: Daniel Baumann Date: Sun, 7 Apr 2024 11:06:44 +0200 Subject: Adding upstream version 4:7.4.7. Signed-off-by: Daniel Baumann --- basegfx/source/polygon/b2dtrapezoid.cxx | 1160 +++++++++++++++++++++++++++++++ 1 file changed, 1160 insertions(+) create mode 100644 basegfx/source/polygon/b2dtrapezoid.cxx (limited to 'basegfx/source/polygon/b2dtrapezoid.cxx') diff --git a/basegfx/source/polygon/b2dtrapezoid.cxx b/basegfx/source/polygon/b2dtrapezoid.cxx new file mode 100644 index 000000000..b7991dbf5 --- /dev/null +++ b/basegfx/source/polygon/b2dtrapezoid.cxx @@ -0,0 +1,1160 @@ +/* -*- Mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */ +/* + * This file is part of the LibreOffice project. + * + * 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/. + * + * This file incorporates work covered by the following license notice: + * + * Licensed to the Apache Software Foundation (ASF) under one or more + * contributor license agreements. See the NOTICE file distributed + * with this work for additional information regarding copyright + * ownership. The ASF licenses this file to you under the Apache + * License, Version 2.0 (the "License"); you may not use this file + * except in compliance with the License. You may obtain a copy of + * the License at http://www.apache.org/licenses/LICENSE-2.0 . + */ + +#include +#include +#include +#include + +#include + +#include + +namespace basegfx::trapezoidhelper +{ + + // helper class to hold a simple edge. This is only used for horizontal edges + // currently, thus the YPositions will be equal. I did not create a special + // class for this since holding the pointers is more effective and also can be + // used as baseclass for the traversing edges + + namespace { + + class TrDeSimpleEdge + { + protected: + // pointers to start and end point + const B2DPoint* mpStart; + const B2DPoint* mpEnd; + + public: + // constructor + TrDeSimpleEdge( + const B2DPoint* pStart, + const B2DPoint* pEnd) + : mpStart(pStart), + mpEnd(pEnd) + { + } + + // data read access + const B2DPoint& getStart() const { return *mpStart; } + const B2DPoint& getEnd() const { return *mpEnd; } + }; + + } + + // define vector of simple edges + + typedef std::vector< TrDeSimpleEdge > TrDeSimpleEdges; + + // helper class for holding a traversing edge. It will always have some + // distance in YPos. The slope (in a numerically useful form, see comments) is + // hold and used in SortValue to allow sorting traversing edges by Y, X and slope + // (in that order) + + namespace { + + class TrDeEdgeEntry : public TrDeSimpleEdge + { + private: + // the slope in a numerical useful form for sorting + sal_uInt32 mnSortValue; + + public: + // convenience data read access + double getDeltaX() const { return mpEnd->getX() - mpStart->getX(); } + double getDeltaY() const { return mpEnd->getY() - mpStart->getY(); } + + // convenience data read access. SortValue is created on demand since + // it is not always used + sal_uInt32 getSortValue() const + { + if(mnSortValue != 0) + return mnSortValue; + + // get radiant; has to be in the range ]0.0 .. pi[, thus scale to full + // sal_uInt32 range for maximum precision + const double fRadiant(atan2(getDeltaY(), getDeltaX()) * (SAL_MAX_UINT32 / M_PI)); + + // convert to sal_uInt32 value + const_cast< TrDeEdgeEntry* >(this)->mnSortValue = sal_uInt32(fRadiant); + + return mnSortValue; + } + + // constructor. SortValue can be given when known, use zero otherwise + TrDeEdgeEntry( + const B2DPoint* pStart, + const B2DPoint* pEnd, + sal_uInt32 nSortValue) + : TrDeSimpleEdge(pStart, pEnd), + mnSortValue(nSortValue) + { + // force traversal of deltaY downward + if(mpEnd->getY() < mpStart->getY()) + { + std::swap(mpStart, mpEnd); + } + + // no horizontal edges allowed, all need to traverse vertically + OSL_ENSURE(mpEnd->getY() > mpStart->getY(), "Illegal TrDeEdgeEntry constructed (!)"); + } + + // data write access to StartPoint + void setStart( const B2DPoint* pNewStart) + { + OSL_ENSURE(pNewStart != nullptr, "No null pointer allowed here (!)"); + + if(mpStart != pNewStart) + { + mpStart = pNewStart; + + // no horizontal edges allowed, all need to traverse vertically + OSL_ENSURE(mpEnd->getY() > mpStart->getY(), "Illegal TrDeEdgeEntry constructed (!)"); + } + } + + // data write access to EndPoint + void setEnd( const B2DPoint* pNewEnd) + { + OSL_ENSURE(pNewEnd != nullptr, "No null pointer allowed here (!)"); + + if(mpEnd != pNewEnd) + { + mpEnd = pNewEnd; + + // no horizontal edges allowed, all need to traverse vertically + OSL_ENSURE(mpEnd->getY() > mpStart->getY(), "Illegal TrDeEdgeEntry constructed (!)"); + } + } + + // operator for sort support. Sort by Y, X and slope (in that order) + bool operator<(const TrDeEdgeEntry& rComp) const + { + if(fTools::equal(getStart().getY(), rComp.getStart().getY())) + { + if(fTools::equal(getStart().getX(), rComp.getStart().getX())) + { + // when start points are equal, use the direction the edge is pointing + // to. That value is created on demand and derived from atan2 in the + // range ]0.0 .. pi[ (without extremas, we always have a deltaY in this + // class) and scaled to sal_uInt32 range for best precision. 0 means no angle, + // while SAL_MAX_UINT32 means pi. Thus, the higher the value, the more left + // the edge traverses. + return (getSortValue() > rComp.getSortValue()); + } + else + { + return fTools::less(getStart().getX(), rComp.getStart().getX()); + } + } + else + { + return fTools::less(getStart().getY(), rComp.getStart().getY()); + } + } + + // method for cut support + B2DPoint getCutPointForGivenY(double fGivenY) const + { + // Calculate cut point locally (do not use interpolate) since it is numerically + // necessary to guarantee the new, equal Y-coordinate + const double fFactor((fGivenY - getStart().getY()) / getDeltaY()); + const double fDeltaXNew(fFactor * getDeltaX()); + + return B2DPoint(getStart().getX() + fDeltaXNew, fGivenY); + } + }; + + } + + // define double linked list of edges (for fast random insert) + + typedef std::list< TrDeEdgeEntry > TrDeEdgeEntries; + + + + // FIXME: templatize this and use it for TrDeEdgeEntries too ... + + namespace { + + /// Class to allow efficient allocation and release of B2DPoints + class PointBlockAllocator + { + static const size_t nBlockSize = 32; + size_t nCurPoint; + B2DPoint *mpPointBase; + /// Special case the first allocation to avoid it. + B2DPoint maFirstStackBlock[nBlockSize]; + std::vector< B2DPoint * > maBlocks; + public: + PointBlockAllocator() : + nCurPoint( nBlockSize ), + mpPointBase( maFirstStackBlock ) + { + } + + ~PointBlockAllocator() + { + while(!maBlocks.empty()) + { + delete [] maBlocks.back(); + maBlocks.pop_back(); + } + } + + B2DPoint *allocatePoint() + { + if(nCurPoint >= nBlockSize) + { + mpPointBase = new B2DPoint[nBlockSize]; + maBlocks.push_back(mpPointBase); + nCurPoint = 0; + } + return mpPointBase + nCurPoint++; + } + + B2DPoint *allocatePoint(const B2DTuple &rPoint) + { + B2DPoint *pPoint = allocatePoint(); + *pPoint = rPoint; + return pPoint; + } + + /// This is a very uncommon case but why not ... + void freeIfLast(B2DPoint const *pPoint) + { + // just re-use the last point if we can. + if ( nCurPoint > 0 && pPoint == mpPointBase + nCurPoint - 1 ) + nCurPoint--; + } + }; + + // helper class to handle the complete trapezoid subdivision of a PolyPolygon + class TrapezoidSubdivider + { + private: + // local data + TrDeEdgeEntries maTrDeEdgeEntries; + std::vector< B2DPoint > maPoints; + /// new points allocated for cuts + PointBlockAllocator maNewPoints; + + void addEdgeSorted( + TrDeEdgeEntries::iterator aCurrent, + const TrDeEdgeEntry& rNewEdge) + { + // Loop while new entry is bigger, use operator< + while(aCurrent != maTrDeEdgeEntries.end() && (*aCurrent) < rNewEdge) + { + ++aCurrent; + } + + // Insert before first which is smaller or equal or at end + maTrDeEdgeEntries.insert(aCurrent, rNewEdge); + } + + bool splitEdgeAtGivenPoint( + TrDeEdgeEntries::reference aEdge, + const B2DPoint& rCutPoint, + const TrDeEdgeEntries::iterator& aCurrent) + { + // do not create edges without deltaY: do not split when start is identical + if(aEdge.getStart().equal(rCutPoint)) + { + return false; + } + + // do not create edges without deltaY: do not split when end is identical + if(aEdge.getEnd().equal(rCutPoint)) + { + return false; + } + + const double fOldDeltaYStart(rCutPoint.getY() - aEdge.getStart().getY()); + + if(fTools::lessOrEqual(fOldDeltaYStart, 0.0)) + { + // do not split: the resulting edge would be horizontal + // correct it to new start point + aEdge.setStart(&rCutPoint); + return false; + } + + const double fNewDeltaYStart(aEdge.getEnd().getY() - rCutPoint.getY()); + + if(fTools::lessOrEqual(fNewDeltaYStart, 0.0)) + { + // do not split: the resulting edge would be horizontal + // correct it to new end point + aEdge.setEnd(&rCutPoint); + return false; + } + + // Create new entry + const TrDeEdgeEntry aNewEdge( + &rCutPoint, + &aEdge.getEnd(), + aEdge.getSortValue()); + + // Correct old entry + aEdge.setEnd(&rCutPoint); + + // Insert sorted (to avoid new sort) + addEdgeSorted(aCurrent, aNewEdge); + + return true; + } + + bool testAndCorrectEdgeIntersection( + TrDeEdgeEntries::reference aEdgeA, + TrDeEdgeEntries::reference aEdgeB, + const TrDeEdgeEntries::iterator& aCurrent) + { + // Exclude simple cases: same start or end point + if(aEdgeA.getStart().equal(aEdgeB.getStart())) + { + return false; + } + + if(aEdgeA.getStart().equal(aEdgeB.getEnd())) + { + return false; + } + + if(aEdgeA.getEnd().equal(aEdgeB.getStart())) + { + return false; + } + + if(aEdgeA.getEnd().equal(aEdgeB.getEnd())) + { + return false; + } + + // Exclude simple cases: one of the edges has no length anymore + if(aEdgeA.getStart().equal(aEdgeA.getEnd())) + { + return false; + } + + if(aEdgeB.getStart().equal(aEdgeB.getEnd())) + { + return false; + } + + // check if one point is on the other edge (a touch, not a cut) + const B2DVector aDeltaB(aEdgeB.getDeltaX(), aEdgeB.getDeltaY()); + + if(utils::isPointOnEdge(aEdgeA.getStart(), aEdgeB.getStart(), aDeltaB)) + { + return splitEdgeAtGivenPoint(aEdgeB, aEdgeA.getStart(), aCurrent); + } + + if(utils::isPointOnEdge(aEdgeA.getEnd(), aEdgeB.getStart(), aDeltaB)) + { + return splitEdgeAtGivenPoint(aEdgeB, aEdgeA.getEnd(), aCurrent); + } + + const B2DVector aDeltaA(aEdgeA.getDeltaX(), aEdgeA.getDeltaY()); + + if(utils::isPointOnEdge(aEdgeB.getStart(), aEdgeA.getStart(), aDeltaA)) + { + return splitEdgeAtGivenPoint(aEdgeA, aEdgeB.getStart(), aCurrent); + } + + if(utils::isPointOnEdge(aEdgeB.getEnd(), aEdgeA.getStart(), aDeltaA)) + { + return splitEdgeAtGivenPoint(aEdgeA, aEdgeB.getEnd(), aCurrent); + } + + // check for cut inside edges. Use both t-values to choose the more precise + // one later + double fCutA(0.0); + double fCutB(0.0); + + if(utils::findCut( + aEdgeA.getStart(), aDeltaA, + aEdgeB.getStart(), aDeltaB, + CutFlagValue::LINE, + &fCutA, + &fCutB) == CutFlagValue::NONE) + return false; + + // use a simple metric (length criteria) for choosing the numerically + // better cut + const double fSimpleLengthA(aDeltaA.getX() + aDeltaA.getY()); + const double fSimpleLengthB(aDeltaB.getX() + aDeltaB.getY()); + const bool bAIsLonger(fSimpleLengthA > fSimpleLengthB); + B2DPoint* pNewPoint = bAIsLonger + ? maNewPoints.allocatePoint(aEdgeA.getStart() + (fCutA * aDeltaA)) + : maNewPoints.allocatePoint(aEdgeB.getStart() + (fCutB * aDeltaB)); + + // try to split both edges + bool bRetval = splitEdgeAtGivenPoint(aEdgeA, *pNewPoint, aCurrent); + bRetval |= splitEdgeAtGivenPoint(aEdgeB, *pNewPoint, aCurrent); + + if(!bRetval) + maNewPoints.freeIfLast(pNewPoint); + + return bRetval; + } + + void solveHorizontalEdges(TrDeSimpleEdges& rTrDeSimpleEdges) + { + if(rTrDeSimpleEdges.empty() || maTrDeEdgeEntries.empty()) + return; + + // there were horizontal edges. These can be excluded, but + // cuts with other edges need to be solved and added before + // ignoring them + for(const TrDeSimpleEdge & rHorEdge : rTrDeSimpleEdges) + { + // get horizontal edge as candidate; prepare its range and fixed Y + const B1DRange aRange(rHorEdge.getStart().getX(), rHorEdge.getEnd().getX()); + const double fFixedY(rHorEdge.getStart().getY()); + + // loop over traversing edges + TrDeEdgeEntries::iterator aCurrent(maTrDeEdgeEntries.begin()); + + do + { + // get compare edge + TrDeEdgeEntries::reference aCompare(*aCurrent++); + + if(fTools::lessOrEqual(aCompare.getEnd().getY(), fFixedY)) + { + // edge ends above horizontal edge, continue + continue; + } + + if(fTools::moreOrEqual(aCompare.getStart().getY(), fFixedY)) + { + // edge starts below horizontal edge, continue + continue; + } + + // vertical overlap, get horizontal range + const B1DRange aCompareRange(aCompare.getStart().getX(), aCompare.getEnd().getX()); + + if(aRange.overlaps(aCompareRange)) + { + // possible cut, get cut point + const B2DPoint aSplit(aCompare.getCutPointForGivenY(fFixedY)); + + if(fTools::more(aSplit.getX(), aRange.getMinimum()) + && fTools::less(aSplit.getX(), aRange.getMaximum())) + { + // cut is in XRange of horizontal edge, potentially needed cut + B2DPoint* pNewPoint = maNewPoints.allocatePoint(aSplit); + + if(!splitEdgeAtGivenPoint(aCompare, *pNewPoint, aCurrent)) + { + maNewPoints.freeIfLast(pNewPoint); + } + } + } + } + while(aCurrent != maTrDeEdgeEntries.end() + && fTools::less(aCurrent->getStart().getY(), fFixedY)); + } + } + + public: + explicit TrapezoidSubdivider( + const B2DPolyPolygon& rSourcePolyPolygon) + { + B2DPolyPolygon aSource(rSourcePolyPolygon); + TrDeSimpleEdges aTrDeSimpleEdges; + sal_uInt32 nAllPointCount(0); + + // ensure there are no curves used + if(aSource.areControlPointsUsed()) + { + aSource = aSource.getDefaultAdaptiveSubdivision(); + } + + for(const auto& aPolygonCandidate : std::as_const(aSource)) + { + // 1st run: count points + const sal_uInt32 nCount(aPolygonCandidate.count()); + + if(nCount > 2) + { + nAllPointCount += nCount; + } + } + + if(nAllPointCount) + { + // reserve needed points. CAUTION: maPoints size is NOT to be changed anymore + // after 2nd loop since pointers to it are used in the edges + maPoints.reserve(nAllPointCount); + + for(const auto& aPolygonCandidate : std::as_const(aSource)) + { + // 2nd run: add points + const sal_uInt32 nCount(aPolygonCandidate.count()); + + if(nCount > 2) + { + for(sal_uInt32 b = 0; b < nCount; b++) + { + maPoints.push_back(aPolygonCandidate.getB2DPoint(b)); + } + } + } + + // Moved the edge construction to a 3rd run: doing it in the 2nd run is + // possible (and I used it), but requires a working vector::reserve() + // implementation, else the vector will be reallocated and the pointers + // in the edges may be wrong. Security first here. + sal_uInt32 nStartIndex(0); + + for(const auto& aPolygonCandidate : std::as_const(aSource)) + { + const sal_uInt32 nCount(aPolygonCandidate.count()); + + if(nCount > 2) + { + // get the last point of the current polygon + B2DPoint* pPrev(&maPoints[nCount + nStartIndex - 1]); + + for(sal_uInt32 b = 0; b < nCount; b++) + { + // get next point + B2DPoint* pCurr(&maPoints[nStartIndex++]); + + if(fTools::equal(pPrev->getY(), pCurr->getY())) + { + // horizontal edge, check for single point + if(!fTools::equal(pPrev->getX(), pCurr->getX())) + { + // X-order not needed, just add + aTrDeSimpleEdges.emplace_back(pPrev, pCurr); + + const double fMiddle((pPrev->getY() + pCurr->getY()) * 0.5); + pPrev->setY(fMiddle); + pCurr->setY(fMiddle); + } + } + else + { + // vertical edge. Positive Y-direction is guaranteed by the + // TrDeEdgeEntry constructor + maTrDeEdgeEntries.emplace_back(pPrev, pCurr, 0); + } + + // prepare next step + pPrev = pCurr; + } + } + } + } + + if(!maTrDeEdgeEntries.empty()) + { + // single and initial sort of traversing edges + maTrDeEdgeEntries.sort(); + + // solve horizontal edges if there are any detected + solveHorizontalEdges(aTrDeSimpleEdges); + } + } + + void Subdivide(B2DTrapezoidVector& ro_Result) + { + // This is the central subdivider. The strategy is to use the first two entries + // from the traversing edges as a potential trapezoid and do the needed corrections + // and adaptations on the way. + + // There always must be two edges with the same YStart value: When adding the polygons + // in the constructor, there is always a topmost point from which two edges start; when + // the topmost is an edge, there is a start and end of this edge from which two edges + // start. All cases have two edges with same StartY (QED). + + // Based on this these edges get corrected when: + // - one is longer than the other + // - they intersect + // - they intersect with other edges + // - another edge starts inside the thought trapezoid + + // All this cases again produce a valid state so that the first two edges have a common + // Ystart again. Some cases lead to a restart of the process, some allow consuming the + // edges and create the intended trapezoid. + + // Be careful when doing changes here: it is essential to keep all possible paths + // in valid states and to be numerically correct. This is especially needed e.g. + // by using fTools::equal(..) in the more robust small-value incarnation. + B1DRange aLeftRange; + B1DRange aRightRange; + + if(!maTrDeEdgeEntries.empty()) + { + // measuring shows that the relation between edges and created trapezoids is + // mostly in the 1:1 range, thus reserve as much trapezoids as edges exist. + ro_Result.reserve(ro_Result.size() + maTrDeEdgeEntries.size()); + } + + while(!maTrDeEdgeEntries.empty()) + { + // Prepare current operator and get first edge + TrDeEdgeEntries::iterator aCurrent(maTrDeEdgeEntries.begin()); + TrDeEdgeEntries::reference aLeft(*aCurrent++); + + if(aCurrent == maTrDeEdgeEntries.end()) + { + // Should not happen: No 2nd edge; consume the single edge + // to not have an endless loop and start next. During development + // I constantly had breakpoints here, so I am sure enough to add an + // assertion here + OSL_FAIL("Trapezoid decomposer in illegal state (!)"); + maTrDeEdgeEntries.pop_front(); + continue; + } + + // get second edge + TrDeEdgeEntries::reference aRight(*aCurrent++); + + if(!fTools::equal(aLeft.getStart().getY(), aRight.getStart().getY())) + { + // Should not happen: We have a 2nd edge, but YStart is on another + // line; consume the single edge to not have an endless loop and start + // next. During development I constantly had breakpoints here, so I am + // sure enough to add an assertion here + OSL_FAIL("Trapezoid decomposer in illegal state (!)"); + maTrDeEdgeEntries.pop_front(); + continue; + } + + // aLeft and aRight build a thought trapezoid now. They have a common + // start line (same Y for start points). Potentially, one of the edges + // is longer than the other. It is only needed to look at the shorter + // length which build the potential trapezoid. To do so, get the end points + // locally and adapt the evtl. longer one. Use only aLeftEnd and aRightEnd + // from here on, not the aLeft.getEnd() or aRight.getEnd() accesses. + B2DPoint aLeftEnd(aLeft.getEnd()); + B2DPoint aRightEnd(aRight.getEnd()); + + // check if end points are on the same line. If yes, no adaptation + // needs to be prepared. Also remember which one actually is longer. + const bool bEndOnSameLine(fTools::equal(aLeftEnd.getY(), aRightEnd.getY())); + bool bLeftIsLonger(false); + + if(!bEndOnSameLine) + { + // check which edge is longer and correct accordingly + bLeftIsLonger = fTools::more(aLeftEnd.getY(), aRightEnd.getY()); + + if(bLeftIsLonger) + { + aLeftEnd = aLeft.getCutPointForGivenY(aRightEnd.getY()); + } + else + { + aRightEnd = aRight.getCutPointForGivenY(aLeftEnd.getY()); + } + } + + // check for same start and end points + const bool bSameStartPoint(aLeft.getStart().equal(aRight.getStart())); + const bool bSameEndPoint(aLeftEnd.equal(aRightEnd)); + + // check the simple case that the edges form a 'blind' edge (deadend) + if(bSameStartPoint && bSameEndPoint) + { + // correct the longer edge if prepared + if(!bEndOnSameLine) + { + if(bLeftIsLonger) + { + B2DPoint* pNewPoint = maNewPoints.allocatePoint(aLeftEnd); + + if(!splitEdgeAtGivenPoint(aLeft, *pNewPoint, aCurrent)) + { + maNewPoints.freeIfLast(pNewPoint); + } + } + else + { + B2DPoint* pNewPoint = maNewPoints.allocatePoint(aRightEnd); + + if(!splitEdgeAtGivenPoint(aRight, *pNewPoint, aCurrent)) + { + maNewPoints.freeIfLast(pNewPoint); + } + } + } + + // consume both edges and start next run + maTrDeEdgeEntries.pop_front(); + maTrDeEdgeEntries.pop_front(); + + continue; + } + + // check if the edges self-intersect. This can only happen when + // start and end point are different + bool bRangesSet(false); + + if(!(bSameStartPoint || bSameEndPoint)) + { + // get XRanges of edges + aLeftRange = B1DRange(aLeft.getStart().getX(), aLeftEnd.getX()); + aRightRange = B1DRange(aRight.getStart().getX(), aRightEnd.getX()); + bRangesSet = true; + + // use fast range test first + if(aLeftRange.overlaps(aRightRange)) + { + // real cut test and correction. If correction was needed, + // start new run + if(testAndCorrectEdgeIntersection(aLeft, aRight, aCurrent)) + { + continue; + } + } + } + + // now we need to check if there are intersections with other edges + // or if other edges start inside the candidate trapezoid + if(aCurrent != maTrDeEdgeEntries.end() + && fTools::less(aCurrent->getStart().getY(), aLeftEnd.getY())) + { + // get XRanges of edges + if(!bRangesSet) + { + aLeftRange = B1DRange(aLeft.getStart().getX(), aLeftEnd.getX()); + aRightRange = B1DRange(aRight.getStart().getX(), aRightEnd.getX()); + } + + // build full XRange for fast check + B1DRange aAllRange(aLeftRange); + aAllRange.expand(aRightRange); + + // prepare loop iterator; aCurrent needs to stay unchanged for + // possibly sorted insertions of new EdgeNodes. Also prepare stop flag + TrDeEdgeEntries::iterator aLoop(aCurrent); + bool bDone(false); + + do + { + // get compare edge and its XRange + TrDeEdgeEntries::reference aCompare(*aLoop++); + + // avoid edges using the same start point as one of + // the edges. These can neither have their start point + // in the thought trapezoid nor cut with one of the edges + if(aCompare.getStart().equal(aRight.getStart())) + { + continue; + } + + // get compare XRange + const B1DRange aCompareRange(aCompare.getStart().getX(), aCompare.getEnd().getX()); + + // use fast range test first + if(aAllRange.overlaps(aCompareRange)) + { + // check for start point inside thought trapezoid + if(fTools::more(aCompare.getStart().getY(), aLeft.getStart().getY())) + { + // calculate the two possible split points at compare's Y + const B2DPoint aSplitLeft(aLeft.getCutPointForGivenY(aCompare.getStart().getY())); + const B2DPoint aSplitRight(aRight.getCutPointForGivenY(aCompare.getStart().getY())); + + // check for start point of aCompare being inside thought + // trapezoid + if(aCompare.getStart().getX() >= aSplitLeft.getX() && + aCompare.getStart().getX() <= aSplitRight.getX()) + { + // is inside, correct and restart loop + B2DPoint* pNewLeft = maNewPoints.allocatePoint(aSplitLeft); + + if(splitEdgeAtGivenPoint(aLeft, *pNewLeft, aCurrent)) + { + bDone = true; + } + else + { + maNewPoints.freeIfLast(pNewLeft); + } + + B2DPoint* pNewRight = maNewPoints.allocatePoint(aSplitRight); + + if(splitEdgeAtGivenPoint(aRight, *pNewRight, aCurrent)) + { + bDone = true; + } + else + { + maNewPoints.freeIfLast(pNewRight); + } + } + } + + if(!bDone && aLeftRange.overlaps(aCompareRange)) + { + // test for concrete cut of compare edge with left edge + bDone = testAndCorrectEdgeIntersection(aLeft, aCompare, aCurrent); + } + + if(!bDone && aRightRange.overlaps(aCompareRange)) + { + // test for concrete cut of compare edge with Right edge + bDone = testAndCorrectEdgeIntersection(aRight, aCompare, aCurrent); + } + } + } + while(!bDone + && aLoop != maTrDeEdgeEntries.end() + && fTools::less(aLoop->getStart().getY(), aLeftEnd.getY())); + + if(bDone) + { + // something needed to be changed; start next loop + continue; + } + } + + // when we get here, the intended trapezoid can be used. It needs to + // be corrected possibly (if prepared); but this is no reason not to + // use it in the same loop iteration + if(!bEndOnSameLine) + { + if(bLeftIsLonger) + { + B2DPoint* pNewPoint = maNewPoints.allocatePoint(aLeftEnd); + + if(!splitEdgeAtGivenPoint(aLeft, *pNewPoint, aCurrent)) + { + maNewPoints.freeIfLast(pNewPoint); + } + } + else + { + B2DPoint* pNewPoint = maNewPoints.allocatePoint(aRightEnd); + + if(!splitEdgeAtGivenPoint(aRight, *pNewPoint, aCurrent)) + { + maNewPoints.freeIfLast(pNewPoint); + } + } + } + + // the two edges start at the same Y, they use the same DeltaY, they + // do not cut themselves and not any other edge in range. Create a + // B2DTrapezoid and consume both edges + ro_Result.emplace_back( + aLeft.getStart().getX(), + aRight.getStart().getX(), + aLeft.getStart().getY(), + aLeftEnd.getX(), + aRightEnd.getX(), + aLeftEnd.getY()); + + maTrDeEdgeEntries.pop_front(); + maTrDeEdgeEntries.pop_front(); + } + } + }; + + } +} // end of namespace + +namespace basegfx +{ + B2DTrapezoid::B2DTrapezoid( + const double& rfTopXLeft, + const double& rfTopXRight, + const double& rfTopY, + const double& rfBottomXLeft, + const double& rfBottomXRight, + const double& rfBottomY) + : mfTopXLeft(rfTopXLeft), + mfTopXRight(rfTopXRight), + mfTopY(rfTopY), + mfBottomXLeft(rfBottomXLeft), + mfBottomXRight(rfBottomXRight), + mfBottomY(rfBottomY) + { + // guarantee mfTopXRight >= mfTopXLeft + if(mfTopXLeft > mfTopXRight) + { + std::swap(mfTopXLeft, mfTopXRight); + } + + // guarantee mfBottomXRight >= mfBottomXLeft + if(mfBottomXLeft > mfBottomXRight) + { + std::swap(mfBottomXLeft, mfBottomXRight); + } + + // guarantee mfBottomY >= mfTopY + if(mfTopY > mfBottomY) + { + std::swap(mfTopY, mfBottomY); + std::swap(mfTopXLeft, mfBottomXLeft); + std::swap(mfTopXRight, mfBottomXRight); + } + } + + B2DPolygon B2DTrapezoid::getB2DPolygon() const + { + B2DPolygon aRetval; + + aRetval.append(B2DPoint(getTopXLeft(), getTopY())); + aRetval.append(B2DPoint(getTopXRight(), getTopY())); + aRetval.append(B2DPoint(getBottomXRight(), getBottomY())); + aRetval.append(B2DPoint(getBottomXLeft(), getBottomY())); + aRetval.setClosed(true); + + return aRetval; + } +} // end of namespace basegfx + +namespace basegfx::utils +{ + // convert Source utils::PolyPolygon to trapezoids + void trapezoidSubdivide(B2DTrapezoidVector& ro_Result, const B2DPolyPolygon& rSourcePolyPolygon) + { + trapezoidhelper::TrapezoidSubdivider aTrapezoidSubdivider(rSourcePolyPolygon); + + aTrapezoidSubdivider.Subdivide(ro_Result); + } + + void createLineTrapezoidFromEdge( + B2DTrapezoidVector& ro_Result, + const B2DPoint& rPointA, + const B2DPoint& rPointB, + double fLineWidth) + { + if(fTools::lessOrEqual(fLineWidth, 0.0)) + { + // no line width + return; + } + + if(rPointA.equal(rPointB)) + { + // points are equal, no edge + return; + } + + const double fHalfLineWidth(0.5 * fLineWidth); + + if(fTools::equal(rPointA.getX(), rPointB.getX())) + { + // vertical line + const double fLeftX(rPointA.getX() - fHalfLineWidth); + const double fRightX(rPointA.getX() + fHalfLineWidth); + + ro_Result.emplace_back( + fLeftX, + fRightX, + std::min(rPointA.getY(), rPointB.getY()), + fLeftX, + fRightX, + std::max(rPointA.getY(), rPointB.getY())); + } + else if(fTools::equal(rPointA.getY(), rPointB.getY())) + { + // horizontal line + const double fLeftX(std::min(rPointA.getX(), rPointB.getX())); + const double fRightX(std::max(rPointA.getX(), rPointB.getX())); + + ro_Result.emplace_back( + fLeftX, + fRightX, + rPointA.getY() - fHalfLineWidth, + fLeftX, + fRightX, + rPointA.getY() + fHalfLineWidth); + } + else + { + // diagonal line + // create perpendicular vector + const B2DVector aDelta(rPointB - rPointA); + B2DVector aPerpendicular(-aDelta.getY(), aDelta.getX()); + aPerpendicular.setLength(fHalfLineWidth); + + // create StartLow, StartHigh, EndLow and EndHigh + const B2DPoint aStartLow(rPointA + aPerpendicular); + const B2DPoint aStartHigh(rPointA - aPerpendicular); + const B2DPoint aEndHigh(rPointB - aPerpendicular); + const B2DPoint aEndLow(rPointB + aPerpendicular); + + // create EdgeEntries + basegfx::trapezoidhelper::TrDeEdgeEntries aTrDeEdgeEntries; + + aTrDeEdgeEntries.emplace_back(&aStartLow, &aStartHigh, 0); + aTrDeEdgeEntries.emplace_back(&aStartHigh, &aEndHigh, 0); + aTrDeEdgeEntries.emplace_back(&aEndHigh, &aEndLow, 0); + aTrDeEdgeEntries.emplace_back(&aEndLow, &aStartLow, 0); + aTrDeEdgeEntries.sort(); + + // here we know we have exactly four edges, and they do not cut, touch or + // intersect. This makes processing much easier. Get the first two as start + // edges for the thought trapezoid + basegfx::trapezoidhelper::TrDeEdgeEntries::iterator aCurrent(aTrDeEdgeEntries.begin()); + basegfx::trapezoidhelper::TrDeEdgeEntries::reference aLeft(*aCurrent++); + basegfx::trapezoidhelper::TrDeEdgeEntries::reference aRight(*aCurrent++); + const bool bEndOnSameLine(fTools::equal(aLeft.getEnd().getY(), aRight.getEnd().getY())); + + if(bEndOnSameLine) + { + // create two triangle trapezoids + ro_Result.emplace_back( + aLeft.getStart().getX(), + aRight.getStart().getX(), + aLeft.getStart().getY(), + aLeft.getEnd().getX(), + aRight.getEnd().getX(), + aLeft.getEnd().getY()); + + basegfx::trapezoidhelper::TrDeEdgeEntries::reference aLeft2(*aCurrent++); + basegfx::trapezoidhelper::TrDeEdgeEntries::reference aRight2(*aCurrent++); + + ro_Result.emplace_back( + aLeft2.getStart().getX(), + aRight2.getStart().getX(), + aLeft2.getStart().getY(), + aLeft2.getEnd().getX(), + aRight2.getEnd().getX(), + aLeft2.getEnd().getY()); + } + else + { + // create three trapezoids. Check which edge is longer and + // correct accordingly + const bool bLeftIsLonger(fTools::more(aLeft.getEnd().getY(), aRight.getEnd().getY())); + + if(bLeftIsLonger) + { + basegfx::trapezoidhelper::TrDeEdgeEntries::reference aRight2(*aCurrent++); + basegfx::trapezoidhelper::TrDeEdgeEntries::reference aLeft2(*aCurrent++); + const B2DPoint aSplitLeft(aLeft.getCutPointForGivenY(aRight.getEnd().getY())); + const B2DPoint aSplitRight(aRight2.getCutPointForGivenY(aLeft.getEnd().getY())); + + ro_Result.emplace_back( + aLeft.getStart().getX(), + aRight.getStart().getX(), + aLeft.getStart().getY(), + aSplitLeft.getX(), + aRight.getEnd().getX(), + aRight.getEnd().getY()); + + ro_Result.emplace_back( + aSplitLeft.getX(), + aRight.getEnd().getX(), + aRight.getEnd().getY(), + aLeft2.getStart().getX(), + aSplitRight.getX(), + aLeft2.getStart().getY()); + + ro_Result.emplace_back( + aLeft2.getStart().getX(), + aSplitRight.getX(), + aLeft2.getStart().getY(), + aLeft2.getEnd().getX(), + aRight2.getEnd().getX(), + aLeft2.getEnd().getY()); + } + else + { + basegfx::trapezoidhelper::TrDeEdgeEntries::reference aLeft2(*aCurrent++); + basegfx::trapezoidhelper::TrDeEdgeEntries::reference aRight2(*aCurrent++); + const B2DPoint aSplitRight(aRight.getCutPointForGivenY(aLeft.getEnd().getY())); + const B2DPoint aSplitLeft(aLeft2.getCutPointForGivenY(aRight.getEnd().getY())); + + ro_Result.emplace_back( + aLeft.getStart().getX(), + aRight.getStart().getX(), + aLeft.getStart().getY(), + aLeft.getEnd().getX(), + aSplitRight.getX(), + aLeft.getEnd().getY()); + + ro_Result.emplace_back( + aLeft.getEnd().getX(), + aSplitRight.getX(), + aLeft.getEnd().getY(), + aSplitLeft.getX(), + aRight.getEnd().getX(), + aRight2.getStart().getY()); + + ro_Result.emplace_back( + aSplitLeft.getX(), + aRight.getEnd().getX(), + aRight2.getStart().getY(), + aLeft2.getEnd().getX(), + aRight2.getEnd().getX(), + aLeft2.getEnd().getY()); + } + } + } + } + + void createLineTrapezoidFromB2DPolygon( + B2DTrapezoidVector& ro_Result, + const B2DPolygon& rPolygon, + double fLineWidth) + { + if(fTools::lessOrEqual(fLineWidth, 0.0)) + { + return; + } + + // ensure there are no curves used + B2DPolygon aSource(rPolygon); + + if(aSource.areControlPointsUsed()) + { + const double fPrecisionFactor = 0.25; + aSource = adaptiveSubdivideByDistance( aSource, fLineWidth * fPrecisionFactor ); + } + + const sal_uInt32 nPointCount(aSource.count()); + + if(!nPointCount) + { + return; + } + + const sal_uInt32 nEdgeCount(aSource.isClosed() ? nPointCount : nPointCount - 1); + B2DPoint aCurrent(aSource.getB2DPoint(0)); + + ro_Result.reserve(ro_Result.size() + (3 * nEdgeCount)); + + for(sal_uInt32 a(0); a < nEdgeCount; a++) + { + const sal_uInt32 nNextIndex((a + 1) % nPointCount); + const B2DPoint aNext(aSource.getB2DPoint(nNextIndex)); + + createLineTrapezoidFromEdge(ro_Result, aCurrent, aNext, fLineWidth); + aCurrent = aNext; + } + } + + +} // end of namespace + +/* vim:set shiftwidth=4 softtabstop=4 expandtab: */ -- cgit v1.2.3