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Diffstat (limited to 'basegfx/source/polygon/b2dpolygoncutandtouch.cxx')
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diff --git a/basegfx/source/polygon/b2dpolygoncutandtouch.cxx b/basegfx/source/polygon/b2dpolygoncutandtouch.cxx new file mode 100644 index 000000000..a8ae6372d --- /dev/null +++ b/basegfx/source/polygon/b2dpolygoncutandtouch.cxx @@ -0,0 +1,1056 @@ +/* -*- 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 <basegfx/polygon/b2dpolygoncutandtouch.hxx> +#include <osl/diagnose.h> +#include <basegfx/numeric/ftools.hxx> +#include <basegfx/point/b2dpoint.hxx> +#include <basegfx/vector/b2dvector.hxx> +#include <basegfx/range/b2drange.hxx> +#include <basegfx/polygon/b2dpolygontools.hxx> +#include <basegfx/curve/b2dcubicbezier.hxx> + +#include <vector> +#include <algorithm> +#include <memory> + +#define SUBDIVIDE_FOR_CUT_TEST_COUNT (50) + +namespace basegfx +{ + namespace + { + + class temporaryPoint + { + B2DPoint maPoint; // the new point + sal_uInt32 mnIndex; // index after which to insert + double mfCut; // parametric cut description [0.0 .. 1.0] + + public: + temporaryPoint(const B2DPoint& rNewPoint, sal_uInt32 nIndex, double fCut) + : maPoint(rNewPoint), + mnIndex(nIndex), + mfCut(fCut) + { + } + + bool operator<(const temporaryPoint& rComp) const + { + if(mnIndex == rComp.mnIndex) + { + return (mfCut < rComp.mfCut); + } + + return (mnIndex < rComp.mnIndex); + } + + const B2DPoint& getPoint() const { return maPoint; } + sal_uInt32 getIndex() const { return mnIndex; } + double getCut() const { return mfCut; } + }; + + typedef std::vector< temporaryPoint > temporaryPointVector; + + class temporaryPolygonData + { + B2DPolygon maPolygon; + B2DRange maRange; + temporaryPointVector maPoints; + + public: + const B2DPolygon& getPolygon() const { return maPolygon; } + void setPolygon(const B2DPolygon& rNew) { maPolygon = rNew; maRange = utils::getRange(maPolygon); } + const B2DRange& getRange() const { return maRange; } + temporaryPointVector& getTemporaryPointVector() { return maPoints; } + }; + + B2DPolygon mergeTemporaryPointsAndPolygon(const B2DPolygon& rCandidate, temporaryPointVector& rTempPoints) + { + // #i76891# mergeTemporaryPointsAndPolygon redesigned to be able to correctly handle + // single edges with/without control points + // #i101491# added counter for non-changing element count + const sal_uInt32 nTempPointCount(rTempPoints.size()); + + if(nTempPointCount) + { + B2DPolygon aRetval; + const sal_uInt32 nCount(rCandidate.count()); + + if(nCount) + { + // sort temp points to assure increasing fCut values and increasing indices + std::sort(rTempPoints.begin(), rTempPoints.end()); + + // prepare loop + B2DCubicBezier aEdge; + sal_uInt32 nNewInd(0); + + // add start point + aRetval.append(rCandidate.getB2DPoint(0)); + + for(sal_uInt32 a(0); a < nCount; a++) + { + // get edge + rCandidate.getBezierSegment(a, aEdge); + + if(aEdge.isBezier()) + { + // control vectors involved for this edge + double fLeftStart(0.0); + + // now add all points targeted to be at this index + while (nNewInd < nTempPointCount && rTempPoints[nNewInd].getIndex() == a && fLeftStart < 1.0) + { + const temporaryPoint& rTempPoint = rTempPoints[nNewInd++]; + + // split curve segment. Splits need to come sorted and need to be < 1.0. Also, + // since original segment is consumed from left to right, the cut values need + // to be scaled to the remaining part + B2DCubicBezier aLeftPart; + const double fRelativeSplitPoint((rTempPoint.getCut() - fLeftStart) / (1.0 - fLeftStart)); + aEdge.split(fRelativeSplitPoint, &aLeftPart, &aEdge); + fLeftStart = rTempPoint.getCut(); + + // add left bow + aRetval.appendBezierSegment(aLeftPart.getControlPointA(), aLeftPart.getControlPointB(), rTempPoint.getPoint()); + } + + // add remaining bow + aRetval.appendBezierSegment(aEdge.getControlPointA(), aEdge.getControlPointB(), aEdge.getEndPoint()); + } + else + { + // add all points targeted to be at this index + while(nNewInd < nTempPointCount && rTempPoints[nNewInd].getIndex() == a) + { + const temporaryPoint& rTempPoint = rTempPoints[nNewInd++]; + const B2DPoint& aNewPoint(rTempPoint.getPoint()); + + // do not add points double + if(!aRetval.getB2DPoint(aRetval.count() - 1).equal(aNewPoint)) + { + aRetval.append(aNewPoint); + } + } + + // add edge end point + aRetval.append(aEdge.getEndPoint()); + } + } + } + + if(rCandidate.isClosed()) + { + // set closed flag and correct last point (which is added double now). + utils::closeWithGeometryChange(aRetval); + } + + return aRetval; + } + else + { + return rCandidate; + } + } + + void adaptAndTransferCutsWithBezierSegment( + const temporaryPointVector& rPointVector, const B2DPolygon& rPolygon, + sal_uInt32 nInd, temporaryPointVector& rTempPoints) + { + // assuming that the subdivision to create rPolygon used equidistant pieces + // (as in adaptiveSubdivideByCount) it is now possible to calculate back the + // cut positions in the polygon to relative cut positions on the original bezier + // segment. + const sal_uInt32 nTempPointCount(rPointVector.size()); + const sal_uInt32 nEdgeCount(rPolygon.count() ? rPolygon.count() - 1 : 0); + + if(nTempPointCount && nEdgeCount) + { + for(sal_uInt32 a(0); a < nTempPointCount; a++) + { + const temporaryPoint& rTempPoint = rPointVector[a]; + const double fCutPosInPolygon(static_cast<double>(rTempPoint.getIndex()) + rTempPoint.getCut()); + const double fRelativeCutPos(fCutPosInPolygon / static_cast<double>(nEdgeCount)); + rTempPoints.emplace_back(rTempPoint.getPoint(), nInd, fRelativeCutPos); + } + } + } + + } // end of anonymous namespace +} // end of namespace basegfx + +namespace basegfx +{ + namespace + { + + // predefines for calls to this methods before method implementation + + void findCuts(const B2DPolygon& rCandidate, temporaryPointVector& rTempPoints); + void findTouches(const B2DPolygon& rEdgePolygon, const B2DPolygon& rPointPolygon, temporaryPointVector& rTempPoints); + void findCuts(const B2DPolygon& rCandidateA, const B2DPolygon& rCandidateB, temporaryPointVector& rTempPointsA, temporaryPointVector& rTempPointsB); + + void findEdgeCutsTwoEdges( + const B2DPoint& rCurrA, const B2DPoint& rNextA, + const B2DPoint& rCurrB, const B2DPoint& rNextB, + sal_uInt32 nIndA, sal_uInt32 nIndB, + temporaryPointVector& rTempPointsA, temporaryPointVector& rTempPointsB) + { + // no null length edges + if(rCurrA.equal(rNextA) || rCurrB.equal(rNextB)) + return; + + // no common start/end points, this can be no cuts + if(rCurrB.equal(rCurrA) || rCurrB.equal(rNextA) || rNextB.equal(rCurrA) || rNextB.equal(rNextA)) + return; + + const B2DVector aVecA(rNextA - rCurrA); + const B2DVector aVecB(rNextB - rCurrB); + double fCut(aVecA.cross(aVecB)); + + if(fTools::equalZero(fCut)) + return; + + const double fZero(0.0); + const double fOne(1.0); + fCut = (aVecB.getY() * (rCurrB.getX() - rCurrA.getX()) + aVecB.getX() * (rCurrA.getY() - rCurrB.getY())) / fCut; + + if (!fTools::betweenOrEqualEither(fCut, fZero, fOne)) + return; + + // it's a candidate, but also need to test parameter value of cut on line 2 + double fCut2; + + // choose the more precise version + if(fabs(aVecB.getX()) > fabs(aVecB.getY())) + { + fCut2 = (rCurrA.getX() + (fCut * aVecA.getX()) - rCurrB.getX()) / aVecB.getX(); + } + else + { + fCut2 = (rCurrA.getY() + (fCut * aVecA.getY()) - rCurrB.getY()) / aVecB.getY(); + } + + if (fTools::betweenOrEqualEither(fCut2, fZero, fOne)) + { + // cut is in range, add point. Two edges can have only one cut, but + // add a cut point to each list. The lists may be the same for + // self intersections. + const B2DPoint aCutPoint(interpolate(rCurrA, rNextA, fCut)); + rTempPointsA.emplace_back(aCutPoint, nIndA, fCut); + rTempPointsB.emplace_back(aCutPoint, nIndB, fCut2); + } + } + + void findCutsAndTouchesAndCommonForBezier(const B2DPolygon& rCandidateA, const B2DPolygon& rCandidateB, temporaryPointVector& rTempPointsA, temporaryPointVector& rTempPointsB) + { + // #i76891# + // This new method is necessary since in findEdgeCutsBezierAndEdge and in findEdgeCutsTwoBeziers + // it is not sufficient to use findCuts() recursively. This will indeed find the cuts between the + // segments of the two temporarily adaptive subdivided bezier segments, but not the touches or + // equal points of them. + // It would be possible to find the touches using findTouches(), but at last with common points + // the adding of cut points (temporary points) would fail. But for these temporarily adaptive + // subdivided bezier segments, common points may be not very likely, but the bug shows that it + // happens. + // Touch points are a little bit more likely than common points. All in all it is best to use + // a specialized method here which can profit from knowing that it is working on a special + // family of B2DPolygons: no curve segments included and not closed. + OSL_ENSURE(!rCandidateA.areControlPointsUsed() && !rCandidateB.areControlPointsUsed(), "findCutsAndTouchesAndCommonForBezier only works with subdivided polygons (!)"); + OSL_ENSURE(!rCandidateA.isClosed() && !rCandidateB.isClosed(), "findCutsAndTouchesAndCommonForBezier only works with opened polygons (!)"); + const sal_uInt32 nPointCountA(rCandidateA.count()); + const sal_uInt32 nPointCountB(rCandidateB.count()); + + if(!(nPointCountA > 1 && nPointCountB > 1)) + return; + + const sal_uInt32 nEdgeCountA(nPointCountA - 1); + const sal_uInt32 nEdgeCountB(nPointCountB - 1); + B2DPoint aCurrA(rCandidateA.getB2DPoint(0)); + + for(sal_uInt32 a(0); a < nEdgeCountA; a++) + { + const B2DPoint aNextA(rCandidateA.getB2DPoint(a + 1)); + const B2DRange aRangeA(aCurrA, aNextA); + B2DPoint aCurrB(rCandidateB.getB2DPoint(0)); + + for(sal_uInt32 b(0); b < nEdgeCountB; b++) + { + const B2DPoint aNextB(rCandidateB.getB2DPoint(b + 1)); + const B2DRange aRangeB(aCurrB, aNextB); + + if(aRangeA.overlaps(aRangeB)) + { + // no null length edges + if(!(aCurrA.equal(aNextA) || aCurrB.equal(aNextB))) + { + const B2DVector aVecA(aNextA - aCurrA); + const B2DVector aVecB(aNextB - aCurrB); + double fCutA(aVecA.cross(aVecB)); + + if(!fTools::equalZero(fCutA)) + { + const double fZero(0.0); + const double fOne(1.0); + fCutA = (aVecB.getY() * (aCurrB.getX() - aCurrA.getX()) + aVecB.getX() * (aCurrA.getY() - aCurrB.getY())) / fCutA; + + // use range [0.0 .. 1.0[, thus in the loop, all direct aCurrA cuts will be registered + // as 0.0 cut. The 1.0 cut will be registered in the next loop step + if(fTools::moreOrEqual(fCutA, fZero) && fTools::less(fCutA, fOne)) + { + // it's a candidate, but also need to test parameter value of cut on line 2 + double fCutB; + + // choose the more precise version + if(fabs(aVecB.getX()) > fabs(aVecB.getY())) + { + fCutB = (aCurrA.getX() + (fCutA * aVecA.getX()) - aCurrB.getX()) / aVecB.getX(); + } + else + { + fCutB = (aCurrA.getY() + (fCutA * aVecA.getY()) - aCurrB.getY()) / aVecB.getY(); + } + + // use range [0.0 .. 1.0[, thus in the loop, all direct aCurrA cuts will be registered + // as 0.0 cut. The 1.0 cut will be registered in the next loop step + if(fTools::moreOrEqual(fCutB, fZero) && fTools::less(fCutB, fOne)) + { + // cut is in both ranges. Add points for A and B + // #i111715# use fTools::equal instead of fTools::equalZero for better accuracy + if(fTools::equal(fCutA, fZero)) + { + // ignore for start point in first edge; this is handled + // by outer methods and would just produce a double point + if(a) + { + rTempPointsA.emplace_back(aCurrA, a, 0.0); + } + } + else + { + const B2DPoint aCutPoint(interpolate(aCurrA, aNextA, fCutA)); + rTempPointsA.emplace_back(aCutPoint, a, fCutA); + } + + // #i111715# use fTools::equal instead of fTools::equalZero for better accuracy + if(fTools::equal(fCutB, fZero)) + { + // ignore for start point in first edge; this is handled + // by outer methods and would just produce a double point + if(b) + { + rTempPointsB.emplace_back(aCurrB, b, 0.0); + } + } + else + { + const B2DPoint aCutPoint(interpolate(aCurrB, aNextB, fCutB)); + rTempPointsB.emplace_back(aCutPoint, b, fCutB); + } + } + } + } + } + } + + // prepare next step + aCurrB = aNextB; + } + + // prepare next step + aCurrA = aNextA; + } + } + + void findEdgeCutsBezierAndEdge( + const B2DCubicBezier& rCubicA, + const B2DPoint& rCurrB, const B2DPoint& rNextB, + sal_uInt32 nIndA, sal_uInt32 nIndB, + temporaryPointVector& rTempPointsA, temporaryPointVector& rTempPointsB) + { + // find all cuts between given bezier segment and edge. Add an entry to the tempPoints + // for each common point with the cut value describing the relative position on given + // bezier segment and edge. + B2DPolygon aTempPolygonA; + B2DPolygon aTempPolygonEdge; + temporaryPointVector aTempPointVectorA; + temporaryPointVector aTempPointVectorEdge; + + // create subdivided polygons and find cuts between them + // Keep adaptiveSubdivideByCount due to needed quality + aTempPolygonA.reserve(SUBDIVIDE_FOR_CUT_TEST_COUNT + 8); + aTempPolygonA.append(rCubicA.getStartPoint()); + rCubicA.adaptiveSubdivideByCount(aTempPolygonA, SUBDIVIDE_FOR_CUT_TEST_COUNT); + aTempPolygonEdge.append(rCurrB); + aTempPolygonEdge.append(rNextB); + + // #i76891# using findCuts recursively is not sufficient here + findCutsAndTouchesAndCommonForBezier(aTempPolygonA, aTempPolygonEdge, aTempPointVectorA, aTempPointVectorEdge); + + if(!aTempPointVectorA.empty()) + { + // adapt tempVector entries to segment + adaptAndTransferCutsWithBezierSegment(aTempPointVectorA, aTempPolygonA, nIndA, rTempPointsA); + } + + // append remapped tempVector entries for edge to tempPoints for edge + for(const temporaryPoint & rTempPoint : aTempPointVectorEdge) + { + rTempPointsB.emplace_back(rTempPoint.getPoint(), nIndB, rTempPoint.getCut()); + } + } + + void findEdgeCutsTwoBeziers( + const B2DCubicBezier& rCubicA, + const B2DCubicBezier& rCubicB, + sal_uInt32 nIndA, sal_uInt32 nIndB, + temporaryPointVector& rTempPointsA, temporaryPointVector& rTempPointsB) + { + // find all cuts between the two given bezier segments. Add an entry to the tempPoints + // for each common point with the cut value describing the relative position on given + // bezier segments. + B2DPolygon aTempPolygonA; + B2DPolygon aTempPolygonB; + temporaryPointVector aTempPointVectorA; + temporaryPointVector aTempPointVectorB; + + // create subdivided polygons and find cuts between them + // Keep adaptiveSubdivideByCount due to needed quality + aTempPolygonA.reserve(SUBDIVIDE_FOR_CUT_TEST_COUNT + 8); + aTempPolygonA.append(rCubicA.getStartPoint()); + rCubicA.adaptiveSubdivideByCount(aTempPolygonA, SUBDIVIDE_FOR_CUT_TEST_COUNT); + aTempPolygonB.reserve(SUBDIVIDE_FOR_CUT_TEST_COUNT + 8); + aTempPolygonB.append(rCubicB.getStartPoint()); + rCubicB.adaptiveSubdivideByCount(aTempPolygonB, SUBDIVIDE_FOR_CUT_TEST_COUNT); + + // #i76891# using findCuts recursively is not sufficient here + findCutsAndTouchesAndCommonForBezier(aTempPolygonA, aTempPolygonB, aTempPointVectorA, aTempPointVectorB); + + if(!aTempPointVectorA.empty()) + { + // adapt tempVector entries to segment + adaptAndTransferCutsWithBezierSegment(aTempPointVectorA, aTempPolygonA, nIndA, rTempPointsA); + } + + if(!aTempPointVectorB.empty()) + { + // adapt tempVector entries to segment + adaptAndTransferCutsWithBezierSegment(aTempPointVectorB, aTempPolygonB, nIndB, rTempPointsB); + } + } + + void findEdgeCutsOneBezier( + const B2DCubicBezier& rCubicA, + sal_uInt32 nInd, temporaryPointVector& rTempPoints) + { + // avoid expensive part of this method if possible + // TODO: use hasAnyExtremum() method instead when it becomes available + double fDummy; + const bool bHasAnyExtremum = rCubicA.getMinimumExtremumPosition( fDummy ); + if( !bHasAnyExtremum ) + return; + + // find all self-intersections on the given bezier segment. Add an entry to the tempPoints + // for each self intersection point with the cut value describing the relative position on given + // bezier segment. + B2DPolygon aTempPolygon; + temporaryPointVector aTempPointVector; + + // create subdivided polygon and find cuts on it + // Keep adaptiveSubdivideByCount due to needed quality + aTempPolygon.reserve(SUBDIVIDE_FOR_CUT_TEST_COUNT + 8); + aTempPolygon.append(rCubicA.getStartPoint()); + rCubicA.adaptiveSubdivideByCount(aTempPolygon, SUBDIVIDE_FOR_CUT_TEST_COUNT); + findCuts(aTempPolygon, aTempPointVector); + + if(!aTempPointVector.empty()) + { + // adapt tempVector entries to segment + adaptAndTransferCutsWithBezierSegment(aTempPointVector, aTempPolygon, nInd, rTempPoints); + } + } + + void findCuts(const B2DPolygon& rCandidate, temporaryPointVector& rTempPoints) + { + // find out if there are edges with intersections (self-cuts). If yes, add + // entries to rTempPoints accordingly + const sal_uInt32 nPointCount(rCandidate.count()); + + if(!nPointCount) + return; + + const sal_uInt32 nEdgeCount(rCandidate.isClosed() ? nPointCount : nPointCount - 1); + + if(!nEdgeCount) + return; + + const bool bCurvesInvolved(rCandidate.areControlPointsUsed()); + + if(bCurvesInvolved) + { + B2DCubicBezier aCubicA; + B2DCubicBezier aCubicB; + + for(sal_uInt32 a(0); a < nEdgeCount - 1; a++) + { + rCandidate.getBezierSegment(a, aCubicA); + aCubicA.testAndSolveTrivialBezier(); + const bool bEdgeAIsCurve(aCubicA.isBezier()); + const B2DRange aRangeA(aCubicA.getRange()); + + if(bEdgeAIsCurve) + { + // curved segments may have self-intersections, do not forget those (!) + findEdgeCutsOneBezier(aCubicA, a, rTempPoints); + } + + for(sal_uInt32 b(a + 1); b < nEdgeCount; b++) + { + rCandidate.getBezierSegment(b, aCubicB); + aCubicB.testAndSolveTrivialBezier(); + const B2DRange aRangeB(aCubicB.getRange()); + + // only overlapping segments need to be tested + // consecutive segments touch of course + bool bOverlap = false; + if( b > a+1) + bOverlap = aRangeA.overlaps(aRangeB); + else + bOverlap = aRangeA.overlapsMore(aRangeB); + if( bOverlap) + { + const bool bEdgeBIsCurve(aCubicB.isBezier()); + if(bEdgeAIsCurve && bEdgeBIsCurve) + { + // test for bezier-bezier cuts + findEdgeCutsTwoBeziers(aCubicA, aCubicB, a, b, rTempPoints, rTempPoints); + } + else if(bEdgeAIsCurve) + { + // test for bezier-edge cuts + findEdgeCutsBezierAndEdge(aCubicA, aCubicB.getStartPoint(), aCubicB.getEndPoint(), a, b, rTempPoints, rTempPoints); + } + else if(bEdgeBIsCurve) + { + // test for bezier-edge cuts + findEdgeCutsBezierAndEdge(aCubicB, aCubicA.getStartPoint(), aCubicA.getEndPoint(), b, a, rTempPoints, rTempPoints); + } + else + { + // test for simple edge-edge cuts + findEdgeCutsTwoEdges(aCubicA.getStartPoint(), aCubicA.getEndPoint(), aCubicB.getStartPoint(), aCubicB.getEndPoint(), + a, b, rTempPoints, rTempPoints); + } + } + } + } + } + else + { + B2DPoint aCurrA(rCandidate.getB2DPoint(0)); + + for(sal_uInt32 a(0); a < nEdgeCount - 1; a++) + { + const B2DPoint aNextA(rCandidate.getB2DPoint(a + 1 == nPointCount ? 0 : a + 1)); + const B2DRange aRangeA(aCurrA, aNextA); + B2DPoint aCurrB(rCandidate.getB2DPoint(a + 1)); + + for(sal_uInt32 b(a + 1); b < nEdgeCount; b++) + { + const B2DPoint aNextB(rCandidate.getB2DPoint(b + 1 == nPointCount ? 0 : b + 1)); + const B2DRange aRangeB(aCurrB, aNextB); + + // consecutive segments touch of course + bool bOverlap = false; + if( b > a+1) + bOverlap = aRangeA.overlaps(aRangeB); + else + bOverlap = aRangeA.overlapsMore(aRangeB); + if( bOverlap) + { + findEdgeCutsTwoEdges(aCurrA, aNextA, aCurrB, aNextB, a, b, rTempPoints, rTempPoints); + } + + // prepare next step + aCurrB = aNextB; + } + + // prepare next step + aCurrA = aNextA; + } + } + } + + } // end of anonymous namespace +} // end of namespace basegfx + +namespace basegfx +{ + namespace + { + + void findTouchesOnEdge( + const B2DPoint& rCurr, const B2DPoint& rNext, const B2DPolygon& rPointPolygon, + sal_uInt32 nInd, temporaryPointVector& rTempPoints) + { + // find out if points from rPointPolygon are positioned on given edge. If Yes, add + // points there to represent touches (which may be enter or leave nodes later). + const sal_uInt32 nPointCount(rPointPolygon.count()); + + if(!nPointCount) + return; + + const B2DRange aRange(rCurr, rNext); + const B2DVector aEdgeVector(rNext - rCurr); + bool bTestUsingX(fabs(aEdgeVector.getX()) > fabs(aEdgeVector.getY())); + + for(sal_uInt32 a(0); a < nPointCount; a++) + { + const B2DPoint aTestPoint(rPointPolygon.getB2DPoint(a)); + + if(aRange.isInside(aTestPoint)) + { + if(!aTestPoint.equal(rCurr) && !aTestPoint.equal(rNext)) + { + const B2DVector aTestVector(aTestPoint - rCurr); + + if(areParallel(aEdgeVector, aTestVector)) + { + const double fCut(bTestUsingX + ? aTestVector.getX() / aEdgeVector.getX() + : aTestVector.getY() / aEdgeVector.getY()); + const double fZero(0.0); + const double fOne(1.0); + + if(fTools::more(fCut, fZero) && fTools::less(fCut, fOne)) + { + rTempPoints.emplace_back(aTestPoint, nInd, fCut); + } + } + } + } + } + } + + void findTouchesOnCurve( + const B2DCubicBezier& rCubicA, const B2DPolygon& rPointPolygon, + sal_uInt32 nInd, temporaryPointVector& rTempPoints) + { + // find all points from rPointPolygon which touch the given bezier segment. Add an entry + // for each touch to the given pointVector. The cut for that entry is the relative position on + // the given bezier segment. + B2DPolygon aTempPolygon; + temporaryPointVector aTempPointVector; + + // create subdivided polygon and find cuts on it + // Keep adaptiveSubdivideByCount due to needed quality + aTempPolygon.reserve(SUBDIVIDE_FOR_CUT_TEST_COUNT + 8); + aTempPolygon.append(rCubicA.getStartPoint()); + rCubicA.adaptiveSubdivideByCount(aTempPolygon, SUBDIVIDE_FOR_CUT_TEST_COUNT); + findTouches(aTempPolygon, rPointPolygon, aTempPointVector); + + if(!aTempPointVector.empty()) + { + // adapt tempVector entries to segment + adaptAndTransferCutsWithBezierSegment(aTempPointVector, aTempPolygon, nInd, rTempPoints); + } + } + + void findTouches(const B2DPolygon& rEdgePolygon, const B2DPolygon& rPointPolygon, temporaryPointVector& rTempPoints) + { + // find out if points from rPointPolygon touch edges from rEdgePolygon. If yes, + // add entries to rTempPoints + const sal_uInt32 nPointCount(rPointPolygon.count()); + const sal_uInt32 nEdgePointCount(rEdgePolygon.count()); + + if(!(nPointCount && nEdgePointCount)) + return; + + const sal_uInt32 nEdgeCount(rEdgePolygon.isClosed() ? nEdgePointCount : nEdgePointCount - 1); + B2DPoint aCurr(rEdgePolygon.getB2DPoint(0)); + + for(sal_uInt32 a(0); a < nEdgeCount; a++) + { + const sal_uInt32 nNextIndex((a + 1) % nEdgePointCount); + const B2DPoint aNext(rEdgePolygon.getB2DPoint(nNextIndex)); + + if(!aCurr.equal(aNext)) + { + bool bHandleAsSimpleEdge(true); + + if(rEdgePolygon.areControlPointsUsed()) + { + const B2DPoint aNextControlPoint(rEdgePolygon.getNextControlPoint(a)); + const B2DPoint aPrevControlPoint(rEdgePolygon.getPrevControlPoint(nNextIndex)); + const bool bEdgeIsCurve(!aNextControlPoint.equal(aCurr) || !aPrevControlPoint.equal(aNext)); + + if(bEdgeIsCurve) + { + bHandleAsSimpleEdge = false; + const B2DCubicBezier aCubicA(aCurr, aNextControlPoint, aPrevControlPoint, aNext); + findTouchesOnCurve(aCubicA, rPointPolygon, a, rTempPoints); + } + } + + if(bHandleAsSimpleEdge) + { + findTouchesOnEdge(aCurr, aNext, rPointPolygon, a, rTempPoints); + } + } + + // next step + aCurr = aNext; + } + } + + } // end of anonymous namespace +} // end of namespace basegfx + +namespace basegfx +{ + namespace + { + + void findCuts(const B2DPolygon& rCandidateA, const B2DPolygon& rCandidateB, temporaryPointVector& rTempPointsA, temporaryPointVector& rTempPointsB) + { + // find out if edges from both polygons cut. If so, add entries to rTempPoints which + // should be added to the polygons accordingly + const sal_uInt32 nPointCountA(rCandidateA.count()); + const sal_uInt32 nPointCountB(rCandidateB.count()); + + if(!(nPointCountA && nPointCountB)) + return; + + const sal_uInt32 nEdgeCountA(rCandidateA.isClosed() ? nPointCountA : nPointCountA - 1); + const sal_uInt32 nEdgeCountB(rCandidateB.isClosed() ? nPointCountB : nPointCountB - 1); + + if(!(nEdgeCountA && nEdgeCountB)) + return; + + const bool bCurvesInvolved(rCandidateA.areControlPointsUsed() || rCandidateB.areControlPointsUsed()); + + if(bCurvesInvolved) + { + B2DCubicBezier aCubicA; + B2DCubicBezier aCubicB; + + for(sal_uInt32 a(0); a < nEdgeCountA; a++) + { + rCandidateA.getBezierSegment(a, aCubicA); + aCubicA.testAndSolveTrivialBezier(); + const bool bEdgeAIsCurve(aCubicA.isBezier()); + const B2DRange aRangeA(aCubicA.getRange()); + + for(sal_uInt32 b(0); b < nEdgeCountB; b++) + { + rCandidateB.getBezierSegment(b, aCubicB); + aCubicB.testAndSolveTrivialBezier(); + const B2DRange aRangeB(aCubicB.getRange()); + + // consecutive segments touch of course + bool bOverlap = false; + if( b > a+1) + bOverlap = aRangeA.overlaps(aRangeB); + else + bOverlap = aRangeA.overlapsMore(aRangeB); + if( bOverlap) + { + const bool bEdgeBIsCurve(aCubicB.isBezier()); + if(bEdgeAIsCurve && bEdgeBIsCurve) + { + // test for bezier-bezier cuts + findEdgeCutsTwoBeziers(aCubicA, aCubicB, a, b, rTempPointsA, rTempPointsB); + } + else if(bEdgeAIsCurve) + { + // test for bezier-edge cuts + findEdgeCutsBezierAndEdge(aCubicA, aCubicB.getStartPoint(), aCubicB.getEndPoint(), a, b, rTempPointsA, rTempPointsB); + } + else if(bEdgeBIsCurve) + { + // test for bezier-edge cuts + findEdgeCutsBezierAndEdge(aCubicB, aCubicA.getStartPoint(), aCubicA.getEndPoint(), b, a, rTempPointsB, rTempPointsA); + } + else + { + // test for simple edge-edge cuts + findEdgeCutsTwoEdges(aCubicA.getStartPoint(), aCubicA.getEndPoint(), aCubicB.getStartPoint(), aCubicB.getEndPoint(), + a, b, rTempPointsA, rTempPointsB); + } + } + } + } + } + else + { + B2DPoint aCurrA(rCandidateA.getB2DPoint(0)); + + for(sal_uInt32 a(0); a < nEdgeCountA; a++) + { + const B2DPoint aNextA(rCandidateA.getB2DPoint(a + 1 == nPointCountA ? 0 : a + 1)); + const B2DRange aRangeA(aCurrA, aNextA); + B2DPoint aCurrB(rCandidateB.getB2DPoint(0)); + + for(sal_uInt32 b(0); b < nEdgeCountB; b++) + { + const B2DPoint aNextB(rCandidateB.getB2DPoint(b + 1 == nPointCountB ? 0 : b + 1)); + const B2DRange aRangeB(aCurrB, aNextB); + + // consecutive segments touch of course + bool bOverlap = false; + if( b > a+1) + bOverlap = aRangeA.overlaps(aRangeB); + else + bOverlap = aRangeA.overlapsMore(aRangeB); + if( bOverlap) + { + // test for simple edge-edge cuts + findEdgeCutsTwoEdges(aCurrA, aNextA, aCurrB, aNextB, a, b, rTempPointsA, rTempPointsB); + } + + // prepare next step + aCurrB = aNextB; + } + + // prepare next step + aCurrA = aNextA; + } + } + } + + } // end of anonymous namespace +} // end of namespace basegfx + +namespace basegfx::utils +{ + + B2DPolygon addPointsAtCutsAndTouches(const B2DPolygon& rCandidate) + { + if(rCandidate.count()) + { + temporaryPointVector aTempPoints; + + findTouches(rCandidate, rCandidate, aTempPoints); + findCuts(rCandidate, aTempPoints); + + return mergeTemporaryPointsAndPolygon(rCandidate, aTempPoints); + } + else + { + return rCandidate; + } + } + + B2DPolyPolygon addPointsAtCutsAndTouches(const B2DPolyPolygon& rCandidate) + { + const sal_uInt32 nCount(rCandidate.count()); + + if(nCount) + { + B2DPolyPolygon aRetval; + + if(nCount == 1) + { + // remove self intersections + aRetval.append(addPointsAtCutsAndTouches(rCandidate.getB2DPolygon(0))); + } + else + { + // first solve self cuts and self touches for all contained single polygons + std::unique_ptr<temporaryPolygonData[]> pTempData(new temporaryPolygonData[nCount]); + sal_uInt32 a, b; + + for(a = 0; a < nCount; a++) + { + // use polygons with solved self intersections + pTempData[a].setPolygon(addPointsAtCutsAndTouches(rCandidate.getB2DPolygon(a))); + } + + // now cuts and touches between the polygons + for(a = 0; a < nCount; a++) + { + for(b = 0; b < nCount; b++) + { + if(a != b) + { + // look for touches, compare each edge polygon to all other points + if(pTempData[a].getRange().overlaps(pTempData[b].getRange())) + { + findTouches(pTempData[a].getPolygon(), pTempData[b].getPolygon(), pTempData[a].getTemporaryPointVector()); + } + } + + if(a < b) + { + // look for cuts, compare each edge polygon to following ones + if(pTempData[a].getRange().overlaps(pTempData[b].getRange())) + { + findCuts(pTempData[a].getPolygon(), pTempData[b].getPolygon(), pTempData[a].getTemporaryPointVector(), pTempData[b].getTemporaryPointVector()); + } + } + } + } + + // consolidate the result + for(a = 0; a < nCount; a++) + { + aRetval.append(mergeTemporaryPointsAndPolygon(pTempData[a].getPolygon(), pTempData[a].getTemporaryPointVector())); + } + } + + return aRetval; + } + else + { + return rCandidate; + } + } + + B2DPolygon addPointsAtCuts(const B2DPolygon& rCandidate, const B2DPoint& rStart, const B2DPoint& rEnd) + { + const sal_uInt32 nCount(rCandidate.count()); + + if(nCount && !rStart.equal(rEnd)) + { + const B2DRange aPolygonRange(rCandidate.getB2DRange()); + const B2DRange aEdgeRange(rStart, rEnd); + + if(aPolygonRange.overlaps(aEdgeRange)) + { + const sal_uInt32 nEdgeCount(rCandidate.isClosed() ? nCount : nCount - 1); + temporaryPointVector aTempPoints; + temporaryPointVector aUnusedTempPoints; + B2DCubicBezier aCubic; + + for(sal_uInt32 a(0); a < nEdgeCount; a++) + { + rCandidate.getBezierSegment(a, aCubic); + B2DRange aCubicRange(aCubic.getStartPoint(), aCubic.getEndPoint()); + + if(aCubic.isBezier()) + { + aCubicRange.expand(aCubic.getControlPointA()); + aCubicRange.expand(aCubic.getControlPointB()); + + if(aCubicRange.overlaps(aEdgeRange)) + { + findEdgeCutsBezierAndEdge(aCubic, rStart, rEnd, a, 0, aTempPoints, aUnusedTempPoints); + } + } + else + { + if(aCubicRange.overlaps(aEdgeRange)) + { + findEdgeCutsTwoEdges(aCubic.getStartPoint(), aCubic.getEndPoint(), rStart, rEnd, a, 0, aTempPoints, aUnusedTempPoints); + } + } + } + + return mergeTemporaryPointsAndPolygon(rCandidate, aTempPoints); + } + } + + return rCandidate; + } + + B2DPolygon addPointsAtCuts(const B2DPolygon& rCandidate, const B2DPolyPolygon& rPolyMask) + { + const sal_uInt32 nCountA(rCandidate.count()); + const sal_uInt32 nCountM(rPolyMask.count()); + + if(nCountA && nCountM) + { + const B2DRange aRangeA(rCandidate.getB2DRange()); + const B2DRange aRangeM(rPolyMask.getB2DRange()); + + if(aRangeA.overlaps(aRangeM)) + { + const sal_uInt32 nEdgeCountA(rCandidate.isClosed() ? nCountA : nCountA - 1); + temporaryPointVector aTempPointsA; + temporaryPointVector aUnusedTempPointsB; + + for(sal_uInt32 m(0); m < nCountM; m++) + { + const B2DPolygon& aMask(rPolyMask.getB2DPolygon(m)); + const sal_uInt32 nCountB(aMask.count()); + + if(nCountB) + { + B2DCubicBezier aCubicA; + B2DCubicBezier aCubicB; + + for(sal_uInt32 a(0); a < nEdgeCountA; a++) + { + rCandidate.getBezierSegment(a, aCubicA); + const bool bCubicAIsCurve(aCubicA.isBezier()); + B2DRange aCubicRangeA(aCubicA.getStartPoint(), aCubicA.getEndPoint()); + + if(bCubicAIsCurve) + { + aCubicRangeA.expand(aCubicA.getControlPointA()); + aCubicRangeA.expand(aCubicA.getControlPointB()); + } + + for(sal_uInt32 b(0); b < nCountB; b++) + { + aMask.getBezierSegment(b, aCubicB); + const bool bCubicBIsCurve(aCubicB.isBezier()); + B2DRange aCubicRangeB(aCubicB.getStartPoint(), aCubicB.getEndPoint()); + + if(bCubicBIsCurve) + { + aCubicRangeB.expand(aCubicB.getControlPointA()); + aCubicRangeB.expand(aCubicB.getControlPointB()); + } + + if(aCubicRangeA.overlaps(aCubicRangeB)) + { + if(bCubicAIsCurve && bCubicBIsCurve) + { + findEdgeCutsTwoBeziers(aCubicA, aCubicB, a, b, aTempPointsA, aUnusedTempPointsB); + } + else if(bCubicAIsCurve) + { + findEdgeCutsBezierAndEdge(aCubicA, aCubicB.getStartPoint(), aCubicB.getEndPoint(), a, b, aTempPointsA, aUnusedTempPointsB); + } + else if(bCubicBIsCurve) + { + findEdgeCutsBezierAndEdge(aCubicB, aCubicA.getStartPoint(), aCubicA.getEndPoint(), b, a, aUnusedTempPointsB, aTempPointsA); + } + else + { + findEdgeCutsTwoEdges(aCubicA.getStartPoint(), aCubicA.getEndPoint(), aCubicB.getStartPoint(), aCubicB.getEndPoint(), a, b, aTempPointsA, aUnusedTempPointsB); + } + } + } + } + } + } + + return mergeTemporaryPointsAndPolygon(rCandidate, aTempPointsA); + } + } + + return rCandidate; + } + +} // end of namespace + +/* vim:set shiftwidth=4 softtabstop=4 expandtab: */ |