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Diffstat (limited to 'basegfx/source/polygon')
18 files changed, 17017 insertions, 0 deletions
diff --git a/basegfx/source/polygon/b2dlinegeometry.cxx b/basegfx/source/polygon/b2dlinegeometry.cxx new file mode 100644 index 000000000000..0db5efbfb86d --- /dev/null +++ b/basegfx/source/polygon/b2dlinegeometry.cxx @@ -0,0 +1,725 @@ +/************************************************************************* + * + * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER. + * + * Copyright 2000, 2010 Oracle and/or its affiliates. + * + * OpenOffice.org - a multi-platform office productivity suite + * + * This file is part of OpenOffice.org. + * + * OpenOffice.org is free software: you can redistribute it and/or modify + * it under the terms of the GNU Lesser General Public License version 3 + * only, as published by the Free Software Foundation. + * + * OpenOffice.org is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU Lesser General Public License version 3 for more details + * (a copy is included in the LICENSE file that accompanied this code). + * + * You should have received a copy of the GNU Lesser General Public License + * version 3 along with OpenOffice.org. If not, see + * <http://www.openoffice.org/license.html> + * for a copy of the LGPLv3 License. + * + ************************************************************************/ + +// MARKER(update_precomp.py): autogen include statement, do not remove +#include "precompiled_basegfx.hxx" +#include <cstdio> +#include <osl/diagnose.h> +#include <basegfx/polygon/b2dlinegeometry.hxx> +#include <basegfx/point/b2dpoint.hxx> +#include <basegfx/vector/b2dvector.hxx> +#include <basegfx/polygon/b2dpolygontools.hxx> +#include <basegfx/polygon/b2dpolypolygontools.hxx> +#include <basegfx/range/b2drange.hxx> +#include <basegfx/matrix/b2dhommatrix.hxx> +#include <basegfx/curve/b2dcubicbezier.hxx> +#include <basegfx/matrix/b2dhommatrixtools.hxx> + +////////////////////////////////////////////////////////////////////////////// + +namespace basegfx +{ + namespace tools + { + B2DPolyPolygon createAreaGeometryForLineStartEnd( + const B2DPolygon& rCandidate, + const B2DPolyPolygon& rArrow, + bool bStart, + double fWidth, + double fCandidateLength, + double fDockingPosition, // 0->top, 1->bottom + double* pConsumedLength) + { + B2DPolyPolygon aRetval; + OSL_ENSURE(rCandidate.count() > 1L, "createAreaGeometryForLineStartEnd: Line polygon has too less points (!)"); + OSL_ENSURE(rArrow.count() > 0L, "createAreaGeometryForLineStartEnd: Empty arrow PolyPolygon (!)"); + OSL_ENSURE(fWidth > 0.0, "createAreaGeometryForLineStartEnd: Width too small (!)"); + OSL_ENSURE(fDockingPosition >= 0.0 && fDockingPosition <= 1.0, + "createAreaGeometryForLineStartEnd: fDockingPosition out of range [0.0 .. 1.0] (!)"); + + if(fWidth < 0.0) + { + fWidth = -fWidth; + } + + if(rCandidate.count() > 1 && rArrow.count() && !fTools::equalZero(fWidth)) + { + if(fDockingPosition < 0.0) + { + fDockingPosition = 0.0; + } + else if(fDockingPosition > 1.0) + { + fDockingPosition = 1.0; + } + + // init return value from arrow + aRetval.append(rArrow); + + // get size of the arrow + const B2DRange aArrowSize(getRange(rArrow)); + + // build ArrowTransform; center in X, align with axis in Y + B2DHomMatrix aArrowTransform(basegfx::tools::createTranslateB2DHomMatrix( + -aArrowSize.getCenter().getX(), -aArrowSize.getMinimum().getY())); + + // scale to target size + const double fArrowScale(fWidth / (aArrowSize.getRange().getX())); + aArrowTransform.scale(fArrowScale, fArrowScale); + + // get arrow size in Y + B2DPoint aUpperCenter(aArrowSize.getCenter().getX(), aArrowSize.getMaximum().getY()); + aUpperCenter *= aArrowTransform; + const double fArrowYLength(B2DVector(aUpperCenter).getLength()); + + // move arrow to have docking position centered + aArrowTransform.translate(0.0, -fArrowYLength * fDockingPosition); + + // prepare polygon length + if(fTools::equalZero(fCandidateLength)) + { + fCandidateLength = getLength(rCandidate); + } + + // get the polygon vector we want to plant this arrow on + const double fConsumedLength(fArrowYLength * (1.0 - fDockingPosition)); + const B2DVector aHead(rCandidate.getB2DPoint((bStart) ? 0L : rCandidate.count() - 1L)); + const B2DVector aTail(getPositionAbsolute(rCandidate, + (bStart) ? fConsumedLength : fCandidateLength - fConsumedLength, fCandidateLength)); + + // from that vector, take the needed rotation and add rotate for arrow to transformation + const B2DVector aTargetDirection(aHead - aTail); + const double fRotation(atan2(aTargetDirection.getY(), aTargetDirection.getX()) + (90.0 * F_PI180)); + + // rotate around docking position + aArrowTransform.rotate(fRotation); + + // move arrow docking position to polygon head + aArrowTransform.translate(aHead.getX(), aHead.getY()); + + // transform retval and close + aRetval.transform(aArrowTransform); + aRetval.setClosed(true); + + // if pConsumedLength is asked for, fill it + if(pConsumedLength) + { + *pConsumedLength = fConsumedLength; + } + } + + return aRetval; + } + } // end of namespace tools +} // end of namespace basegfx + +////////////////////////////////////////////////////////////////////////////// + +namespace basegfx +{ + // anonymus namespace for local helpers + namespace + { + bool impIsSimpleEdge(const B2DCubicBezier& rCandidate, double fMaxCosQuad, double fMaxPartOfEdgeQuad) + { + // isBezier() is true, already tested by caller + const B2DVector aEdge(rCandidate.getEndPoint() - rCandidate.getStartPoint()); + + if(aEdge.equalZero()) + { + // start and end point the same, but control vectors used -> baloon curve loop + // is not a simple edge + return false; + } + + // get tangentA and scalar with edge + const B2DVector aTangentA(rCandidate.getTangent(0.0)); + const double fScalarAE(aEdge.scalar(aTangentA)); + + if(fTools::lessOrEqual(fScalarAE, 0.0)) + { + // angle between TangentA and Edge is bigger or equal 90 degrees + return false; + } + + // get self-scalars for E and A + const double fScalarE(aEdge.scalar(aEdge)); + const double fScalarA(aTangentA.scalar(aTangentA)); + const double fLengthCompareE(fScalarE * fMaxPartOfEdgeQuad); + + if(fTools::moreOrEqual(fScalarA, fLengthCompareE)) + { + // length of TangentA is more than fMaxPartOfEdge of length of edge + return false; + } + + if(fTools::lessOrEqual(fScalarAE * fScalarAE, fScalarA * fScalarE * fMaxCosQuad)) + { + // angle between TangentA and Edge is bigger or equal angle defined by fMaxCos + return false; + } + + // get tangentB and scalar with edge + const B2DVector aTangentB(rCandidate.getTangent(1.0)); + const double fScalarBE(aEdge.scalar(aTangentB)); + + if(fTools::lessOrEqual(fScalarBE, 0.0)) + { + // angle between TangentB and Edge is bigger or equal 90 degrees + return false; + } + + // get self-scalar for B + const double fScalarB(aTangentB.scalar(aTangentB)); + + if(fTools::moreOrEqual(fScalarB, fLengthCompareE)) + { + // length of TangentB is more than fMaxPartOfEdge of length of edge + return false; + } + + if(fTools::lessOrEqual(fScalarBE * fScalarBE, fScalarB * fScalarE * fMaxCosQuad)) + { + // angle between TangentB and Edge is bigger or equal defined by fMaxCos + return false; + } + + return true; + } + + void impSubdivideToSimple(const B2DCubicBezier& rCandidate, B2DPolygon& rTarget, double fMaxCosQuad, double fMaxPartOfEdgeQuad, sal_uInt32 nMaxRecursionDepth) + { + if(!nMaxRecursionDepth || impIsSimpleEdge(rCandidate, fMaxCosQuad, fMaxPartOfEdgeQuad)) + { + rTarget.appendBezierSegment(rCandidate.getControlPointA(), rCandidate.getControlPointB(), rCandidate.getEndPoint()); + } + else + { + B2DCubicBezier aLeft, aRight; + rCandidate.split(0.5, &aLeft, &aRight); + + impSubdivideToSimple(aLeft, rTarget, fMaxCosQuad, fMaxPartOfEdgeQuad, nMaxRecursionDepth - 1); + impSubdivideToSimple(aRight, rTarget, fMaxCosQuad, fMaxPartOfEdgeQuad, nMaxRecursionDepth - 1); + } + } + + B2DPolygon subdivideToSimple(const B2DPolygon& rCandidate, double fMaxCosQuad, double fMaxPartOfEdgeQuad) + { + const sal_uInt32 nPointCount(rCandidate.count()); + + if(rCandidate.areControlPointsUsed() && nPointCount) + { + const sal_uInt32 nEdgeCount(rCandidate.isClosed() ? nPointCount : nPointCount - 1); + B2DPolygon aRetval; + B2DCubicBezier aEdge; + + // prepare edge for loop + aEdge.setStartPoint(rCandidate.getB2DPoint(0)); + aRetval.append(aEdge.getStartPoint()); + + for(sal_uInt32 a(0); a < nEdgeCount; a++) + { + // fill B2DCubicBezier + const sal_uInt32 nNextIndex((a + 1) % nPointCount); + aEdge.setControlPointA(rCandidate.getNextControlPoint(a)); + aEdge.setControlPointB(rCandidate.getPrevControlPoint(nNextIndex)); + aEdge.setEndPoint(rCandidate.getB2DPoint(nNextIndex)); + + // get rid of unnecessary bezier segments + aEdge.testAndSolveTrivialBezier(); + + if(aEdge.isBezier()) + { + // before splitting recursively with internal simple criteria, use + // ExtremumPosFinder to remove those + ::std::vector< double > aExtremumPositions; + + aExtremumPositions.reserve(4); + aEdge.getAllExtremumPositions(aExtremumPositions); + + const sal_uInt32 nCount(aExtremumPositions.size()); + + if(nCount) + { + if(nCount > 1) + { + // create order from left to right + ::std::sort(aExtremumPositions.begin(), aExtremumPositions.end()); + } + + for(sal_uInt32 b(0); b < nCount;) + { + // split aEdge at next split pos + B2DCubicBezier aLeft; + const double fSplitPos(aExtremumPositions[b++]); + + aEdge.split(fSplitPos, &aLeft, &aEdge); + aLeft.testAndSolveTrivialBezier(); + + // consume left part + if(aLeft.isBezier()) + { + impSubdivideToSimple(aLeft, aRetval, fMaxCosQuad, fMaxPartOfEdgeQuad, 6); + } + else + { + aRetval.append(aLeft.getEndPoint()); + } + + if(b < nCount) + { + // correct the remaining split positions to fit to shortened aEdge + const double fScaleFactor(1.0 / (1.0 - fSplitPos)); + + for(sal_uInt32 c(b); c < nCount; c++) + { + aExtremumPositions[c] = (aExtremumPositions[c] - fSplitPos) * fScaleFactor; + } + } + } + + // test the shortened rest of aEdge + aEdge.testAndSolveTrivialBezier(); + + // consume right part + if(aEdge.isBezier()) + { + impSubdivideToSimple(aEdge, aRetval, fMaxCosQuad, fMaxPartOfEdgeQuad, 6); + } + else + { + aRetval.append(aEdge.getEndPoint()); + } + } + else + { + impSubdivideToSimple(aEdge, aRetval, fMaxCosQuad, fMaxPartOfEdgeQuad, 6); + } + } + else + { + // straight edge, add point + aRetval.append(aEdge.getEndPoint()); + } + + // prepare edge for next step + aEdge.setStartPoint(aEdge.getEndPoint()); + } + + // copy closed flag and check for double points + aRetval.setClosed(rCandidate.isClosed()); + aRetval.removeDoublePoints(); + + return aRetval; + } + else + { + return rCandidate; + } + } + + B2DPolygon createAreaGeometryForEdge(const B2DCubicBezier& rEdge, double fHalfLineWidth) + { + // create polygon for edge + // Unfortunately, while it would be geometrically correct to not add + // the in-between points EdgeEnd and EdgeStart, it leads to rounding + // errors when converting to integer polygon coordinates for painting + if(rEdge.isBezier()) + { + // prepare target and data common for upper and lower + B2DPolygon aBezierPolygon; + const B2DVector aPureEdgeVector(rEdge.getEndPoint() - rEdge.getStartPoint()); + const double fEdgeLength(aPureEdgeVector.getLength()); + const bool bIsEdgeLengthZero(fTools::equalZero(fEdgeLength)); + const B2DVector aTangentA(rEdge.getTangent(0.0)); + const B2DVector aTangentB(rEdge.getTangent(1.0)); + + // create upper edge. + { + // create displacement vectors and check if they cut + const B2DVector aPerpendStart(getNormalizedPerpendicular(aTangentA) * -fHalfLineWidth); + const B2DVector aPerpendEnd(getNormalizedPerpendicular(aTangentB) * -fHalfLineWidth); + double fCut(0.0); + const tools::CutFlagValue aCut(tools::findCut( + rEdge.getStartPoint(), aPerpendStart, + rEdge.getEndPoint(), aPerpendEnd, + CUTFLAG_ALL, &fCut)); + + if(CUTFLAG_NONE != aCut) + { + // calculate cut point and add + const B2DPoint aCutPoint(rEdge.getStartPoint() + (aPerpendStart * fCut)); + aBezierPolygon.append(aCutPoint); + } + else + { + // create scaled bezier segment + const B2DPoint aStart(rEdge.getStartPoint() + aPerpendStart); + const B2DPoint aEnd(rEdge.getEndPoint() + aPerpendEnd); + const B2DVector aEdge(aEnd - aStart); + const double fLength(aEdge.getLength()); + const double fScale(bIsEdgeLengthZero ? 1.0 : fLength / fEdgeLength); + const B2DVector fRelNext(rEdge.getControlPointA() - rEdge.getStartPoint()); + const B2DVector fRelPrev(rEdge.getControlPointB() - rEdge.getEndPoint()); + + aBezierPolygon.append(aStart); + aBezierPolygon.appendBezierSegment(aStart + (fRelNext * fScale), aEnd + (fRelPrev * fScale), aEnd); + } + } + + // append original in-between point + aBezierPolygon.append(rEdge.getEndPoint()); + + // create lower edge. + { + // create displacement vectors and check if they cut + const B2DVector aPerpendStart(getNormalizedPerpendicular(aTangentA) * fHalfLineWidth); + const B2DVector aPerpendEnd(getNormalizedPerpendicular(aTangentB) * fHalfLineWidth); + double fCut(0.0); + const tools::CutFlagValue aCut(tools::findCut( + rEdge.getEndPoint(), aPerpendEnd, + rEdge.getStartPoint(), aPerpendStart, + CUTFLAG_ALL, &fCut)); + + if(CUTFLAG_NONE != aCut) + { + // calculate cut point and add + const B2DPoint aCutPoint(rEdge.getEndPoint() + (aPerpendEnd * fCut)); + aBezierPolygon.append(aCutPoint); + } + else + { + // create scaled bezier segment + const B2DPoint aStart(rEdge.getEndPoint() + aPerpendEnd); + const B2DPoint aEnd(rEdge.getStartPoint() + aPerpendStart); + const B2DVector aEdge(aEnd - aStart); + const double fLength(aEdge.getLength()); + const double fScale(bIsEdgeLengthZero ? 1.0 : fLength / fEdgeLength); + const B2DVector fRelNext(rEdge.getControlPointB() - rEdge.getEndPoint()); + const B2DVector fRelPrev(rEdge.getControlPointA() - rEdge.getStartPoint()); + + aBezierPolygon.append(aStart); + aBezierPolygon.appendBezierSegment(aStart + (fRelNext * fScale), aEnd + (fRelPrev * fScale), aEnd); + } + } + + // append original in-between point + aBezierPolygon.append(rEdge.getStartPoint()); + + // close and return + aBezierPolygon.setClosed(true); + return aBezierPolygon; + } + else + { + // #i101491# emulate rEdge.getTangent call which applies a factor of 0.3 to the + // full-length edge vector to have numerically exactly the same results as in the + // createAreaGeometryForJoin implementation + const B2DVector aEdgeTangent((rEdge.getEndPoint() - rEdge.getStartPoint()) * 0.3); + const B2DVector aPerpendEdgeVector(getNormalizedPerpendicular(aEdgeTangent) * fHalfLineWidth); + B2DPolygon aEdgePolygon; + + // create upper edge + aEdgePolygon.append(rEdge.getStartPoint() - aPerpendEdgeVector); + aEdgePolygon.append(rEdge.getEndPoint() - aPerpendEdgeVector); + + // append original in-between point + aEdgePolygon.append(rEdge.getEndPoint()); + + // create lower edge + aEdgePolygon.append(rEdge.getEndPoint() + aPerpendEdgeVector); + aEdgePolygon.append(rEdge.getStartPoint() + aPerpendEdgeVector); + + // append original in-between point + aEdgePolygon.append(rEdge.getStartPoint()); + + // close and return + aEdgePolygon.setClosed(true); + return aEdgePolygon; + } + } + + B2DPolygon createAreaGeometryForJoin( + const B2DVector& rTangentPrev, + const B2DVector& rTangentEdge, + const B2DVector& rPerpendPrev, + const B2DVector& rPerpendEdge, + const B2DPoint& rPoint, + double fHalfLineWidth, + B2DLineJoin eJoin, + double fMiterMinimumAngle) + { + OSL_ENSURE(fHalfLineWidth > 0.0, "createAreaGeometryForJoin: LineWidth too small (!)"); + OSL_ENSURE(B2DLINEJOIN_NONE != eJoin, "createAreaGeometryForJoin: B2DLINEJOIN_NONE not allowed (!)"); + + // LineJoin from tangent rPerpendPrev to tangent rPerpendEdge in rPoint + B2DPolygon aEdgePolygon; + const B2DPoint aStartPoint(rPoint + rPerpendPrev); + const B2DPoint aEndPoint(rPoint + rPerpendEdge); + + // test if for Miter, the angle is too small and the fallback + // to bevel needs to be used + if(B2DLINEJOIN_MITER == eJoin) + { + const double fAngle(fabs(rPerpendPrev.angle(rPerpendEdge))); + + if((F_PI - fAngle) < fMiterMinimumAngle) + { + // fallback to bevel + eJoin = B2DLINEJOIN_BEVEL; + } + } + + switch(eJoin) + { + case B2DLINEJOIN_MITER : + { + aEdgePolygon.append(aEndPoint); + aEdgePolygon.append(rPoint); + aEdgePolygon.append(aStartPoint); + + // Look for the cut point between start point along rTangentPrev and + // end point along rTangentEdge. -rTangentEdge should be used, but since + // the cut value is used for interpolating along the first edge, the negation + // is not needed since the same fCut will be found on the first edge. + // If it exists, insert it to complete the mitered fill polygon. + double fCutPos(0.0); + tools::findCut(aStartPoint, rTangentPrev, aEndPoint, rTangentEdge, CUTFLAG_ALL, &fCutPos); + + if(0.0 != fCutPos) + { + const B2DPoint aCutPoint(interpolate(aStartPoint, aStartPoint + rTangentPrev, fCutPos)); + aEdgePolygon.append(aCutPoint); + } + + break; + } + case B2DLINEJOIN_ROUND : + { + // use tooling to add needed EllipseSegment + double fAngleStart(atan2(rPerpendPrev.getY(), rPerpendPrev.getX())); + double fAngleEnd(atan2(rPerpendEdge.getY(), rPerpendEdge.getX())); + + // atan2 results are [-PI .. PI], consolidate to [0.0 .. 2PI] + if(fAngleStart < 0.0) + { + fAngleStart += F_2PI; + } + + if(fAngleEnd < 0.0) + { + fAngleEnd += F_2PI; + } + + const B2DPolygon aBow(tools::createPolygonFromEllipseSegment(rPoint, fHalfLineWidth, fHalfLineWidth, fAngleStart, fAngleEnd)); + + if(aBow.count() > 1) + { + // #i101491# + // use the original start/end positions; the ones from bow creation may be numerically + // different due to their different creation. To guarantee good merging quality with edges + // and edge roundings (and to reduce point count) + aEdgePolygon = aBow; + aEdgePolygon.setB2DPoint(0, aStartPoint); + aEdgePolygon.setB2DPoint(aEdgePolygon.count() - 1, aEndPoint); + aEdgePolygon.append(rPoint); + + break; + } + else + { + // wanted fall-through to default + } + } + default: // B2DLINEJOIN_BEVEL + { + aEdgePolygon.append(aEndPoint); + aEdgePolygon.append(rPoint); + aEdgePolygon.append(aStartPoint); + + break; + } + } + + // create last polygon part for edge + aEdgePolygon.setClosed(true); + + return aEdgePolygon; + } + } // end of anonymus namespace + + namespace tools + { + B2DPolyPolygon createAreaGeometry( + const B2DPolygon& rCandidate, + double fHalfLineWidth, + B2DLineJoin eJoin, + double fMaxAllowedAngle, + double fMaxPartOfEdge, + double fMiterMinimumAngle) + { + if(fMaxAllowedAngle > F_PI2) + { + fMaxAllowedAngle = F_PI2; + } + else if(fMaxAllowedAngle < 0.01 * F_PI2) + { + fMaxAllowedAngle = 0.01 * F_PI2; + } + + if(fMaxPartOfEdge > 1.0) + { + fMaxPartOfEdge = 1.0; + } + else if(fMaxPartOfEdge < 0.01) + { + fMaxPartOfEdge = 0.01; + } + + if(fMiterMinimumAngle > F_PI) + { + fMiterMinimumAngle = F_PI; + } + else if(fMiterMinimumAngle < 0.01 * F_PI) + { + fMiterMinimumAngle = 0.01 * F_PI; + } + + B2DPolygon aCandidate(rCandidate); + const double fMaxCos(cos(fMaxAllowedAngle)); + + aCandidate.removeDoublePoints(); + aCandidate = subdivideToSimple(aCandidate, fMaxCos * fMaxCos, fMaxPartOfEdge * fMaxPartOfEdge); + + const sal_uInt32 nPointCount(aCandidate.count()); + + if(nPointCount) + { + B2DPolyPolygon aRetval; + const bool bEventuallyCreateLineJoin(B2DLINEJOIN_NONE != eJoin); + const bool bIsClosed(aCandidate.isClosed()); + const sal_uInt32 nEdgeCount(bIsClosed ? nPointCount : nPointCount - 1); + + if(nEdgeCount) + { + B2DCubicBezier aEdge; + B2DCubicBezier aPrev; + + // prepare edge + aEdge.setStartPoint(aCandidate.getB2DPoint(0)); + + if(bIsClosed && bEventuallyCreateLineJoin) + { + // prepare previous edge + const sal_uInt32 nPrevIndex(nPointCount - 1); + aPrev.setStartPoint(aCandidate.getB2DPoint(nPrevIndex)); + aPrev.setControlPointA(aCandidate.getNextControlPoint(nPrevIndex)); + aPrev.setControlPointB(aCandidate.getPrevControlPoint(0)); + aPrev.setEndPoint(aEdge.getStartPoint()); + } + + for(sal_uInt32 a(0); a < nEdgeCount; a++) + { + // fill current Edge + const sal_uInt32 nNextIndex((a + 1) % nPointCount); + aEdge.setControlPointA(aCandidate.getNextControlPoint(a)); + aEdge.setControlPointB(aCandidate.getPrevControlPoint(nNextIndex)); + aEdge.setEndPoint(aCandidate.getB2DPoint(nNextIndex)); + + // check and create linejoin + if(bEventuallyCreateLineJoin && (bIsClosed || 0 != a)) + { + const B2DVector aTangentPrev(aPrev.getTangent(1.0)); + const B2DVector aTangentEdge(aEdge.getTangent(0.0)); + B2VectorOrientation aOrientation(getOrientation(aTangentPrev, aTangentEdge)); + + if(ORIENTATION_NEUTRAL == aOrientation) + { + // they are parallell or empty; if they are both not zero and point + // in opposite direction, a half-circle is needed + if(!aTangentPrev.equalZero() && !aTangentEdge.equalZero()) + { + const double fAngle(fabs(aTangentPrev.angle(aTangentEdge))); + + if(fTools::equal(fAngle, F_PI)) + { + // for half-circle production, fallback to positive + // orientation + aOrientation = ORIENTATION_POSITIVE; + } + } + } + + if(ORIENTATION_POSITIVE == aOrientation) + { + const B2DVector aPerpendPrev(getNormalizedPerpendicular(aTangentPrev) * -fHalfLineWidth); + const B2DVector aPerpendEdge(getNormalizedPerpendicular(aTangentEdge) * -fHalfLineWidth); + + aRetval.append(createAreaGeometryForJoin( + aTangentPrev, aTangentEdge, + aPerpendPrev, aPerpendEdge, + aEdge.getStartPoint(), fHalfLineWidth, + eJoin, fMiterMinimumAngle)); + } + else if(ORIENTATION_NEGATIVE == aOrientation) + { + const B2DVector aPerpendPrev(getNormalizedPerpendicular(aTangentPrev) * fHalfLineWidth); + const B2DVector aPerpendEdge(getNormalizedPerpendicular(aTangentEdge) * fHalfLineWidth); + + aRetval.append(createAreaGeometryForJoin( + aTangentEdge, aTangentPrev, + aPerpendEdge, aPerpendPrev, + aEdge.getStartPoint(), fHalfLineWidth, + eJoin, fMiterMinimumAngle)); + } + } + + // create geometry for edge + aRetval.append(createAreaGeometryForEdge(aEdge, fHalfLineWidth)); + + // prepare next step + if(bEventuallyCreateLineJoin) + { + aPrev = aEdge; + } + + aEdge.setStartPoint(aEdge.getEndPoint()); + } + } + + return aRetval; + } + else + { + return B2DPolyPolygon(rCandidate); + } + } + } // end of namespace tools +} // end of namespace basegfx + +////////////////////////////////////////////////////////////////////////////// +// eof diff --git a/basegfx/source/polygon/b2dpolygon.cxx b/basegfx/source/polygon/b2dpolygon.cxx new file mode 100644 index 000000000000..dc16938a3f99 --- /dev/null +++ b/basegfx/source/polygon/b2dpolygon.cxx @@ -0,0 +1,1592 @@ +/************************************************************************* + * + * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER. + * + * Copyright 2000, 2010 Oracle and/or its affiliates. + * + * OpenOffice.org - a multi-platform office productivity suite + * + * This file is part of OpenOffice.org. + * + * OpenOffice.org is free software: you can redistribute it and/or modify + * it under the terms of the GNU Lesser General Public License version 3 + * only, as published by the Free Software Foundation. + * + * OpenOffice.org is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU Lesser General Public License version 3 for more details + * (a copy is included in the LICENSE file that accompanied this code). + * + * You should have received a copy of the GNU Lesser General Public License + * version 3 along with OpenOffice.org. If not, see + * <http://www.openoffice.org/license.html> + * for a copy of the LGPLv3 License. + * + ************************************************************************/ + +// MARKER(update_precomp.py): autogen include statement, do not remove +#include "precompiled_basegfx.hxx" +#include <osl/diagnose.h> +#include <basegfx/polygon/b2dpolygon.hxx> +#include <basegfx/point/b2dpoint.hxx> +#include <basegfx/vector/b2dvector.hxx> +#include <basegfx/matrix/b2dhommatrix.hxx> +#include <basegfx/curve/b2dcubicbezier.hxx> +#include <rtl/instance.hxx> +#include <basegfx/polygon/b2dpolygontools.hxx> +#include <boost/scoped_ptr.hpp> +#include <vector> +#include <algorithm> + +////////////////////////////////////////////////////////////////////////////// + +class CoordinateData2D +{ + basegfx::B2DPoint maPoint; + +public: + CoordinateData2D() + : maPoint() + {} + + explicit CoordinateData2D(const basegfx::B2DPoint& rData) + : maPoint(rData) + {} + + const basegfx::B2DPoint& getCoordinate() const + { + return maPoint; + } + + void setCoordinate(const basegfx::B2DPoint& rValue) + { + if(rValue != maPoint) + maPoint = rValue; + } + + bool operator==(const CoordinateData2D& rData ) const + { + return (maPoint == rData.getCoordinate()); + } + + void transform(const basegfx::B2DHomMatrix& rMatrix) + { + maPoint *= rMatrix; + } +}; + +////////////////////////////////////////////////////////////////////////////// + +class CoordinateDataArray2D +{ + typedef ::std::vector< CoordinateData2D > CoordinateData2DVector; + + CoordinateData2DVector maVector; + +public: + explicit CoordinateDataArray2D(sal_uInt32 nCount) + : maVector(nCount) + { + } + + explicit CoordinateDataArray2D(const CoordinateDataArray2D& rOriginal) + : maVector(rOriginal.maVector) + { + } + + CoordinateDataArray2D(const CoordinateDataArray2D& rOriginal, sal_uInt32 nIndex, sal_uInt32 nCount) + : maVector(rOriginal.maVector.begin() + nIndex, rOriginal.maVector.begin() + (nIndex + nCount)) + { + } + + sal_uInt32 count() const + { + return maVector.size(); + } + + bool operator==(const CoordinateDataArray2D& rCandidate) const + { + return (maVector == rCandidate.maVector); + } + + const basegfx::B2DPoint& getCoordinate(sal_uInt32 nIndex) const + { + return maVector[nIndex].getCoordinate(); + } + + void setCoordinate(sal_uInt32 nIndex, const basegfx::B2DPoint& rValue) + { + maVector[nIndex].setCoordinate(rValue); + } + + void reserve(sal_uInt32 nCount) + { + maVector.reserve(nCount); + } + + void append(const CoordinateData2D& rValue) + { + maVector.push_back(rValue); + } + + void insert(sal_uInt32 nIndex, const CoordinateData2D& rValue, sal_uInt32 nCount) + { + if(nCount) + { + // add nCount copies of rValue + CoordinateData2DVector::iterator aIndex(maVector.begin()); + aIndex += nIndex; + maVector.insert(aIndex, nCount, rValue); + } + } + + void insert(sal_uInt32 nIndex, const CoordinateDataArray2D& rSource) + { + const sal_uInt32 nCount(rSource.maVector.size()); + + if(nCount) + { + // insert data + CoordinateData2DVector::iterator aIndex(maVector.begin()); + aIndex += nIndex; + CoordinateData2DVector::const_iterator aStart(rSource.maVector.begin()); + CoordinateData2DVector::const_iterator aEnd(rSource.maVector.end()); + maVector.insert(aIndex, aStart, aEnd); + } + } + + void remove(sal_uInt32 nIndex, sal_uInt32 nCount) + { + if(nCount) + { + // remove point data + CoordinateData2DVector::iterator aStart(maVector.begin()); + aStart += nIndex; + const CoordinateData2DVector::iterator aEnd(aStart + nCount); + maVector.erase(aStart, aEnd); + } + } + + void flip(bool bIsClosed) + { + if(maVector.size() > 1) + { + // to keep the same point at index 0, just flip all points except the + // first one when closed + const sal_uInt32 nHalfSize(bIsClosed ? (maVector.size() - 1) >> 1 : maVector.size() >> 1); + CoordinateData2DVector::iterator aStart(bIsClosed ? maVector.begin() + 1 : maVector.begin()); + CoordinateData2DVector::iterator aEnd(maVector.end() - 1); + + for(sal_uInt32 a(0); a < nHalfSize; a++) + { + ::std::swap(*aStart, *aEnd); + aStart++; + aEnd--; + } + } + } + + void removeDoublePointsAtBeginEnd() + { + // remove from end as long as there are at least two points + // and begin/end are equal + while((maVector.size() > 1) && (maVector[0] == maVector[maVector.size() - 1])) + { + maVector.pop_back(); + } + } + + void removeDoublePointsWholeTrack() + { + sal_uInt32 nIndex(0); + + // test as long as there are at least two points and as long as the index + // is smaller or equal second last point + while((maVector.size() > 1) && (nIndex <= maVector.size() - 2)) + { + if(maVector[nIndex] == maVector[nIndex + 1]) + { + // if next is same as index, delete next + maVector.erase(maVector.begin() + (nIndex + 1)); + } + else + { + // if different, step forward + nIndex++; + } + } + } + + void transform(const basegfx::B2DHomMatrix& rMatrix) + { + CoordinateData2DVector::iterator aStart(maVector.begin()); + CoordinateData2DVector::iterator aEnd(maVector.end()); + + for(; aStart != aEnd; aStart++) + { + aStart->transform(rMatrix); + } + } +}; + +////////////////////////////////////////////////////////////////////////////// + +class ControlVectorPair2D +{ + basegfx::B2DVector maPrevVector; + basegfx::B2DVector maNextVector; + +public: + const basegfx::B2DVector& getPrevVector() const + { + return maPrevVector; + } + + void setPrevVector(const basegfx::B2DVector& rValue) + { + if(rValue != maPrevVector) + maPrevVector = rValue; + } + + const basegfx::B2DVector& getNextVector() const + { + return maNextVector; + } + + void setNextVector(const basegfx::B2DVector& rValue) + { + if(rValue != maNextVector) + maNextVector = rValue; + } + + bool operator==(const ControlVectorPair2D& rData) const + { + return (maPrevVector == rData.getPrevVector() && maNextVector == rData.getNextVector()); + } + + void flip() + { + ::std::swap(maPrevVector, maNextVector); + } +}; + +////////////////////////////////////////////////////////////////////////////// + +class ControlVectorArray2D +{ + typedef ::std::vector< ControlVectorPair2D > ControlVectorPair2DVector; + + ControlVectorPair2DVector maVector; + sal_uInt32 mnUsedVectors; + +public: + explicit ControlVectorArray2D(sal_uInt32 nCount) + : maVector(nCount), + mnUsedVectors(0) + {} + + ControlVectorArray2D(const ControlVectorArray2D& rOriginal, sal_uInt32 nIndex, sal_uInt32 nCount) + : maVector(), + mnUsedVectors(0) + { + ControlVectorPair2DVector::const_iterator aStart(rOriginal.maVector.begin()); + aStart += nIndex; + ControlVectorPair2DVector::const_iterator aEnd(aStart); + aEnd += nCount; + maVector.reserve(nCount); + + for(; aStart != aEnd; aStart++) + { + if(!aStart->getPrevVector().equalZero()) + mnUsedVectors++; + + if(!aStart->getNextVector().equalZero()) + mnUsedVectors++; + + maVector.push_back(*aStart); + } + } + + sal_uInt32 count() const + { + return maVector.size(); + } + + bool operator==(const ControlVectorArray2D& rCandidate) const + { + return (maVector == rCandidate.maVector); + } + + bool isUsed() const + { + return (0 != mnUsedVectors); + } + + const basegfx::B2DVector& getPrevVector(sal_uInt32 nIndex) const + { + return maVector[nIndex].getPrevVector(); + } + + void setPrevVector(sal_uInt32 nIndex, const basegfx::B2DVector& rValue) + { + bool bWasUsed(mnUsedVectors && !maVector[nIndex].getPrevVector().equalZero()); + bool bIsUsed(!rValue.equalZero()); + + if(bWasUsed) + { + if(bIsUsed) + { + maVector[nIndex].setPrevVector(rValue); + } + else + { + maVector[nIndex].setPrevVector(basegfx::B2DVector::getEmptyVector()); + mnUsedVectors--; + } + } + else + { + if(bIsUsed) + { + maVector[nIndex].setPrevVector(rValue); + mnUsedVectors++; + } + } + } + + const basegfx::B2DVector& getNextVector(sal_uInt32 nIndex) const + { + return maVector[nIndex].getNextVector(); + } + + void setNextVector(sal_uInt32 nIndex, const basegfx::B2DVector& rValue) + { + bool bWasUsed(mnUsedVectors && !maVector[nIndex].getNextVector().equalZero()); + bool bIsUsed(!rValue.equalZero()); + + if(bWasUsed) + { + if(bIsUsed) + { + maVector[nIndex].setNextVector(rValue); + } + else + { + maVector[nIndex].setNextVector(basegfx::B2DVector::getEmptyVector()); + mnUsedVectors--; + } + } + else + { + if(bIsUsed) + { + maVector[nIndex].setNextVector(rValue); + mnUsedVectors++; + } + } + } + + void append(const ControlVectorPair2D& rValue) + { + maVector.push_back(rValue); + + if(!rValue.getPrevVector().equalZero()) + mnUsedVectors += 1; + + if(!rValue.getNextVector().equalZero()) + mnUsedVectors += 1; + } + + void insert(sal_uInt32 nIndex, const ControlVectorPair2D& rValue, sal_uInt32 nCount) + { + if(nCount) + { + // add nCount copies of rValue + ControlVectorPair2DVector::iterator aIndex(maVector.begin()); + aIndex += nIndex; + maVector.insert(aIndex, nCount, rValue); + + if(!rValue.getPrevVector().equalZero()) + mnUsedVectors += nCount; + + if(!rValue.getNextVector().equalZero()) + mnUsedVectors += nCount; + } + } + + void insert(sal_uInt32 nIndex, const ControlVectorArray2D& rSource) + { + const sal_uInt32 nCount(rSource.maVector.size()); + + if(nCount) + { + // insert data + ControlVectorPair2DVector::iterator aIndex(maVector.begin()); + aIndex += nIndex; + ControlVectorPair2DVector::const_iterator aStart(rSource.maVector.begin()); + ControlVectorPair2DVector::const_iterator aEnd(rSource.maVector.end()); + maVector.insert(aIndex, aStart, aEnd); + + for(; aStart != aEnd; aStart++) + { + if(!aStart->getPrevVector().equalZero()) + mnUsedVectors++; + + if(!aStart->getNextVector().equalZero()) + mnUsedVectors++; + } + } + } + + void remove(sal_uInt32 nIndex, sal_uInt32 nCount) + { + if(nCount) + { + const ControlVectorPair2DVector::iterator aDeleteStart(maVector.begin() + nIndex); + const ControlVectorPair2DVector::iterator aDeleteEnd(aDeleteStart + nCount); + ControlVectorPair2DVector::const_iterator aStart(aDeleteStart); + + for(; mnUsedVectors && aStart != aDeleteEnd; aStart++) + { + if(!aStart->getPrevVector().equalZero()) + mnUsedVectors--; + + if(mnUsedVectors && !aStart->getNextVector().equalZero()) + mnUsedVectors--; + } + + // remove point data + maVector.erase(aDeleteStart, aDeleteEnd); + } + } + + void flip(bool bIsClosed) + { + if(maVector.size() > 1) + { + // to keep the same point at index 0, just flip all points except the + // first one when closed + const sal_uInt32 nHalfSize(bIsClosed ? (maVector.size() - 1) >> 1 : maVector.size() >> 1); + ControlVectorPair2DVector::iterator aStart(bIsClosed ? maVector.begin() + 1 : maVector.begin()); + ControlVectorPair2DVector::iterator aEnd(maVector.end() - 1); + + for(sal_uInt32 a(0); a < nHalfSize; a++) + { + // swap Prev and Next + aStart->flip(); + aEnd->flip(); + + // swap entries + ::std::swap(*aStart, *aEnd); + + aStart++; + aEnd--; + } + + if(aStart == aEnd) + { + // swap Prev and Next at middle element (if exists) + aStart->flip(); + } + + if(bIsClosed) + { + // swap Prev and Next at start element + maVector.begin()->flip(); + } + } + } +}; + +////////////////////////////////////////////////////////////////////////////// + +class ImplBufferedData +{ +private: + // Possibility to hold the last subdivision + boost::scoped_ptr< basegfx::B2DPolygon > mpDefaultSubdivision; + + // Possibility to hold the last B2DRange calculation + boost::scoped_ptr< basegfx::B2DRange > mpB2DRange; + +public: + ImplBufferedData() + : mpDefaultSubdivision(), + mpB2DRange() + {} + + const basegfx::B2DPolygon& getDefaultAdaptiveSubdivision(const basegfx::B2DPolygon& rSource) const + { + if(!mpDefaultSubdivision) + { + const_cast< ImplBufferedData* >(this)->mpDefaultSubdivision.reset(new basegfx::B2DPolygon(basegfx::tools::adaptiveSubdivideByCount(rSource, 9))); + } + + return *mpDefaultSubdivision; + } + + const basegfx::B2DRange& getB2DRange(const basegfx::B2DPolygon& rSource) const + { + if(!mpB2DRange) + { + basegfx::B2DRange aNewRange; + const sal_uInt32 nPointCount(rSource.count()); + + if(nPointCount) + { + for(sal_uInt32 a(0); a < nPointCount; a++) + { + aNewRange.expand(rSource.getB2DPoint(a)); + } + + if(rSource.areControlPointsUsed()) + { + const sal_uInt32 nEdgeCount(rSource.isClosed() ? nPointCount : nPointCount - 1); + + if(nEdgeCount) + { + basegfx::B2DCubicBezier aEdge; + aEdge.setStartPoint(rSource.getB2DPoint(0)); + + for(sal_uInt32 b(0); b < nEdgeCount; b++) + { + const sal_uInt32 nNextIndex((b + 1) % nPointCount); + aEdge.setControlPointA(rSource.getNextControlPoint(b)); + aEdge.setControlPointB(rSource.getPrevControlPoint(nNextIndex)); + aEdge.setEndPoint(rSource.getB2DPoint(nNextIndex)); + + if(aEdge.isBezier()) + { + const basegfx::B2DRange aBezierRangeWithControlPoints(aEdge.getRange()); + + if(!aNewRange.isInside(aBezierRangeWithControlPoints)) + { + // the range with control points of the current edge is not completely + // inside the current range without control points. Expand current range by + // subdividing the bezier segment. + // Ideal here is a subdivision at the extreme values, so use + // getAllExtremumPositions to get all extremas in one run + ::std::vector< double > aExtremas; + + aExtremas.reserve(4); + aEdge.getAllExtremumPositions(aExtremas); + + const sal_uInt32 nExtremaCount(aExtremas.size()); + + for(sal_uInt32 c(0); c < nExtremaCount; c++) + { + aNewRange.expand(aEdge.interpolatePoint(aExtremas[c])); + } + } + } + + // prepare next edge + aEdge.setStartPoint(aEdge.getEndPoint()); + } + } + } + } + + const_cast< ImplBufferedData* >(this)->mpB2DRange.reset(new basegfx::B2DRange(aNewRange)); + } + + return *mpB2DRange; + } +}; + +////////////////////////////////////////////////////////////////////////////// + +class ImplB2DPolygon +{ +private: + // The point vector. This vector exists always and defines the + // count of members. + CoordinateDataArray2D maPoints; + + // The control point vectors. This vectors are created on demand + // and may be zero. + boost::scoped_ptr< ControlVectorArray2D > mpControlVector; + + // buffered data for e.g. default subdivision and range + boost::scoped_ptr< ImplBufferedData > mpBufferedData; + + // flag which decides if this polygon is opened or closed + bool mbIsClosed; + +public: + const basegfx::B2DPolygon& getDefaultAdaptiveSubdivision(const basegfx::B2DPolygon& rSource) const + { + if(!mpControlVector || !mpControlVector->isUsed()) + { + return rSource; + } + + if(!mpBufferedData) + { + const_cast< ImplB2DPolygon* >(this)->mpBufferedData.reset(new ImplBufferedData); + } + + return mpBufferedData->getDefaultAdaptiveSubdivision(rSource); + } + + const basegfx::B2DRange& getB2DRange(const basegfx::B2DPolygon& rSource) const + { + if(!mpBufferedData) + { + const_cast< ImplB2DPolygon* >(this)->mpBufferedData.reset(new ImplBufferedData); + } + + return mpBufferedData->getB2DRange(rSource); + } + + ImplB2DPolygon() + : maPoints(0), + mpControlVector(), + mpBufferedData(), + mbIsClosed(false) + {} + + ImplB2DPolygon(const ImplB2DPolygon& rToBeCopied) + : maPoints(rToBeCopied.maPoints), + mpControlVector(), + mpBufferedData(), + mbIsClosed(rToBeCopied.mbIsClosed) + { + // complete initialization using copy + if(rToBeCopied.mpControlVector && rToBeCopied.mpControlVector->isUsed()) + { + mpControlVector.reset( new ControlVectorArray2D(*rToBeCopied.mpControlVector) ); + } + } + + ImplB2DPolygon(const ImplB2DPolygon& rToBeCopied, sal_uInt32 nIndex, sal_uInt32 nCount) + : maPoints(rToBeCopied.maPoints, nIndex, nCount), + mpControlVector(), + mpBufferedData(), + mbIsClosed(rToBeCopied.mbIsClosed) + { + // complete initialization using partly copy + if(rToBeCopied.mpControlVector && rToBeCopied.mpControlVector->isUsed()) + { + mpControlVector.reset( new ControlVectorArray2D(*rToBeCopied.mpControlVector, nIndex, nCount) ); + + if(!mpControlVector->isUsed()) + mpControlVector.reset(); + } + } + + ImplB2DPolygon& operator=( const ImplB2DPolygon& rToBeCopied ) + { + maPoints = rToBeCopied.maPoints; + mpControlVector.reset(); + mpBufferedData.reset(); + mbIsClosed = rToBeCopied.mbIsClosed; + + // complete initialization using copy + if(rToBeCopied.mpControlVector && rToBeCopied.mpControlVector->isUsed()) + mpControlVector.reset( new ControlVectorArray2D(*rToBeCopied.mpControlVector) ); + + return *this; + } + + sal_uInt32 count() const + { + return maPoints.count(); + } + + bool isClosed() const + { + return mbIsClosed; + } + + void setClosed(bool bNew) + { + if(bNew != mbIsClosed) + { + mpBufferedData.reset(); + mbIsClosed = bNew; + } + } + + bool operator==(const ImplB2DPolygon& rCandidate) const + { + if(mbIsClosed == rCandidate.mbIsClosed) + { + if(maPoints == rCandidate.maPoints) + { + bool bControlVectorsAreEqual(true); + + if(mpControlVector) + { + if(rCandidate.mpControlVector) + { + bControlVectorsAreEqual = ((*mpControlVector) == (*rCandidate.mpControlVector)); + } + else + { + // candidate has no control vector, so it's assumed all unused. + bControlVectorsAreEqual = !mpControlVector->isUsed(); + } + } + else + { + if(rCandidate.mpControlVector) + { + // we have no control vector, so it's assumed all unused. + bControlVectorsAreEqual = !rCandidate.mpControlVector->isUsed(); + } + } + + if(bControlVectorsAreEqual) + { + return true; + } + } + } + + return false; + } + + const basegfx::B2DPoint& getPoint(sal_uInt32 nIndex) const + { + return maPoints.getCoordinate(nIndex); + } + + void setPoint(sal_uInt32 nIndex, const basegfx::B2DPoint& rValue) + { + mpBufferedData.reset(); + maPoints.setCoordinate(nIndex, rValue); + } + + void reserve(sal_uInt32 nCount) + { + maPoints.reserve(nCount); + } + + void append(const basegfx::B2DPoint& rPoint) + { + mpBufferedData.reset(); // TODO: is this needed? + const CoordinateData2D aCoordinate(rPoint); + maPoints.append(aCoordinate); + + if(mpControlVector) + { + const ControlVectorPair2D aVectorPair; + mpControlVector->append(aVectorPair); + } + } + + void insert(sal_uInt32 nIndex, const basegfx::B2DPoint& rPoint, sal_uInt32 nCount) + { + if(nCount) + { + mpBufferedData.reset(); + CoordinateData2D aCoordinate(rPoint); + maPoints.insert(nIndex, aCoordinate, nCount); + + if(mpControlVector) + { + ControlVectorPair2D aVectorPair; + mpControlVector->insert(nIndex, aVectorPair, nCount); + } + } + } + + const basegfx::B2DVector& getPrevControlVector(sal_uInt32 nIndex) const + { + if(mpControlVector) + { + return mpControlVector->getPrevVector(nIndex); + } + else + { + return basegfx::B2DVector::getEmptyVector(); + } + } + + void setPrevControlVector(sal_uInt32 nIndex, const basegfx::B2DVector& rValue) + { + if(!mpControlVector) + { + if(!rValue.equalZero()) + { + mpBufferedData.reset(); + mpControlVector.reset( new ControlVectorArray2D(maPoints.count()) ); + mpControlVector->setPrevVector(nIndex, rValue); + } + } + else + { + mpBufferedData.reset(); + mpControlVector->setPrevVector(nIndex, rValue); + + if(!mpControlVector->isUsed()) + mpControlVector.reset(); + } + } + + const basegfx::B2DVector& getNextControlVector(sal_uInt32 nIndex) const + { + if(mpControlVector) + { + return mpControlVector->getNextVector(nIndex); + } + else + { + return basegfx::B2DVector::getEmptyVector(); + } + } + + void setNextControlVector(sal_uInt32 nIndex, const basegfx::B2DVector& rValue) + { + if(!mpControlVector) + { + if(!rValue.equalZero()) + { + mpBufferedData.reset(); + mpControlVector.reset( new ControlVectorArray2D(maPoints.count()) ); + mpControlVector->setNextVector(nIndex, rValue); + } + } + else + { + mpBufferedData.reset(); + mpControlVector->setNextVector(nIndex, rValue); + + if(!mpControlVector->isUsed()) + mpControlVector.reset(); + } + } + + bool areControlPointsUsed() const + { + return (mpControlVector && mpControlVector->isUsed()); + } + + void resetControlVectors(sal_uInt32 nIndex) + { + setPrevControlVector(nIndex, basegfx::B2DVector::getEmptyVector()); + setNextControlVector(nIndex, basegfx::B2DVector::getEmptyVector()); + } + + void resetControlVectors() + { + mpBufferedData.reset(); + mpControlVector.reset(); + } + + void setControlVectors(sal_uInt32 nIndex, const basegfx::B2DVector& rPrev, const basegfx::B2DVector& rNext) + { + setPrevControlVector(nIndex, rPrev); + setNextControlVector(nIndex, rNext); + } + + void appendBezierSegment(const basegfx::B2DVector& rNext, const basegfx::B2DVector& rPrev, const basegfx::B2DPoint& rPoint) + { + mpBufferedData.reset(); + const sal_uInt32 nCount(maPoints.count()); + + if(nCount) + { + setNextControlVector(nCount - 1, rNext); + } + + insert(nCount, rPoint, 1); + setPrevControlVector(nCount, rPrev); + } + + void insert(sal_uInt32 nIndex, const ImplB2DPolygon& rSource) + { + const sal_uInt32 nCount(rSource.maPoints.count()); + + if(nCount) + { + mpBufferedData.reset(); + + if(rSource.mpControlVector && rSource.mpControlVector->isUsed() && !mpControlVector) + { + mpControlVector.reset( new ControlVectorArray2D(maPoints.count()) ); + } + + maPoints.insert(nIndex, rSource.maPoints); + + if(rSource.mpControlVector) + { + mpControlVector->insert(nIndex, *rSource.mpControlVector); + + if(!mpControlVector->isUsed()) + mpControlVector.reset(); + } + else if(mpControlVector) + { + ControlVectorPair2D aVectorPair; + mpControlVector->insert(nIndex, aVectorPair, nCount); + } + } + } + + void remove(sal_uInt32 nIndex, sal_uInt32 nCount) + { + if(nCount) + { + mpBufferedData.reset(); + maPoints.remove(nIndex, nCount); + + if(mpControlVector) + { + mpControlVector->remove(nIndex, nCount); + + if(!mpControlVector->isUsed()) + mpControlVector.reset(); + } + } + } + + void flip() + { + if(maPoints.count() > 1) + { + mpBufferedData.reset(); + + // flip points + maPoints.flip(mbIsClosed); + + if(mpControlVector) + { + // flip control vector + mpControlVector->flip(mbIsClosed); + } + } + } + + bool hasDoublePoints() const + { + if(mbIsClosed) + { + // check for same start and end point + const sal_uInt32 nIndex(maPoints.count() - 1); + + if(maPoints.getCoordinate(0) == maPoints.getCoordinate(nIndex)) + { + if(mpControlVector) + { + if(mpControlVector->getNextVector(nIndex).equalZero() && mpControlVector->getPrevVector(0).equalZero()) + { + return true; + } + } + else + { + return true; + } + } + } + + // test for range + for(sal_uInt32 a(0); a < maPoints.count() - 1; a++) + { + if(maPoints.getCoordinate(a) == maPoints.getCoordinate(a + 1)) + { + if(mpControlVector) + { + if(mpControlVector->getNextVector(a).equalZero() && mpControlVector->getPrevVector(a + 1).equalZero()) + { + return true; + } + } + else + { + return true; + } + } + } + + return false; + } + + void removeDoublePointsAtBeginEnd() + { + // Only remove DoublePoints at Begin and End when poly is closed + if(mbIsClosed) + { + mpBufferedData.reset(); + + if(mpControlVector) + { + bool bRemove; + + do + { + bRemove = false; + + if(maPoints.count() > 1) + { + const sal_uInt32 nIndex(maPoints.count() - 1); + + if(maPoints.getCoordinate(0) == maPoints.getCoordinate(nIndex)) + { + if(mpControlVector) + { + if(mpControlVector->getNextVector(nIndex).equalZero() && mpControlVector->getPrevVector(0).equalZero()) + { + bRemove = true; + } + } + else + { + bRemove = true; + } + } + } + + if(bRemove) + { + const sal_uInt32 nIndex(maPoints.count() - 1); + + if(mpControlVector && !mpControlVector->getPrevVector(nIndex).equalZero()) + { + mpControlVector->setPrevVector(0, mpControlVector->getPrevVector(nIndex)); + } + + remove(nIndex, 1); + } + } + while(bRemove); + } + else + { + maPoints.removeDoublePointsAtBeginEnd(); + } + } + } + + void removeDoublePointsWholeTrack() + { + mpBufferedData.reset(); + + if(mpControlVector) + { + sal_uInt32 nIndex(0); + + // test as long as there are at least two points and as long as the index + // is smaller or equal second last point + while((maPoints.count() > 1) && (nIndex <= maPoints.count() - 2)) + { + bool bRemove(maPoints.getCoordinate(nIndex) == maPoints.getCoordinate(nIndex + 1)); + + if(bRemove) + { + if(mpControlVector) + { + if(!mpControlVector->getNextVector(nIndex).equalZero() || !mpControlVector->getPrevVector(nIndex + 1).equalZero()) + { + bRemove = false; + } + } + } + + if(bRemove) + { + if(mpControlVector && !mpControlVector->getPrevVector(nIndex).equalZero()) + { + mpControlVector->setPrevVector(nIndex + 1, mpControlVector->getPrevVector(nIndex)); + } + + // if next is same as index and the control vectors are unused, delete index + remove(nIndex, 1); + } + else + { + // if different, step forward + nIndex++; + } + } + } + else + { + maPoints.removeDoublePointsWholeTrack(); + } + } + + void transform(const basegfx::B2DHomMatrix& rMatrix) + { + mpBufferedData.reset(); + + if(mpControlVector) + { + for(sal_uInt32 a(0); a < maPoints.count(); a++) + { + basegfx::B2DPoint aCandidate = maPoints.getCoordinate(a); + + if(mpControlVector->isUsed()) + { + const basegfx::B2DVector& rPrevVector(mpControlVector->getPrevVector(a)); + const basegfx::B2DVector& rNextVector(mpControlVector->getNextVector(a)); + + if(!rPrevVector.equalZero()) + { + basegfx::B2DVector aPrevVector(rMatrix * rPrevVector); + mpControlVector->setPrevVector(a, aPrevVector); + } + + if(!rNextVector.equalZero()) + { + basegfx::B2DVector aNextVector(rMatrix * rNextVector); + mpControlVector->setNextVector(a, aNextVector); + } + } + + aCandidate *= rMatrix; + maPoints.setCoordinate(a, aCandidate); + } + + if(!mpControlVector->isUsed()) + mpControlVector.reset(); + } + else + { + maPoints.transform(rMatrix); + } + } +}; + +////////////////////////////////////////////////////////////////////////////// + +namespace basegfx +{ + namespace + { + struct DefaultPolygon: public rtl::Static<B2DPolygon::ImplType, DefaultPolygon> {}; + } + + B2DPolygon::B2DPolygon() + : mpPolygon(DefaultPolygon::get()) + {} + + B2DPolygon::B2DPolygon(const B2DPolygon& rPolygon) + : mpPolygon(rPolygon.mpPolygon) + {} + + B2DPolygon::B2DPolygon(const B2DPolygon& rPolygon, sal_uInt32 nIndex, sal_uInt32 nCount) + : mpPolygon(ImplB2DPolygon(*rPolygon.mpPolygon, nIndex, nCount)) + { + // TODO(P2): one extra temporary here (cow_wrapper copies + // given ImplB2DPolygon into its internal impl_t wrapper type) + OSL_ENSURE(nIndex + nCount <= rPolygon.mpPolygon->count(), "B2DPolygon constructor outside range (!)"); + } + + B2DPolygon::~B2DPolygon() + { + } + + B2DPolygon& B2DPolygon::operator=(const B2DPolygon& rPolygon) + { + mpPolygon = rPolygon.mpPolygon; + return *this; + } + + void B2DPolygon::makeUnique() + { + mpPolygon.make_unique(); + } + + bool B2DPolygon::operator==(const B2DPolygon& rPolygon) const + { + if(mpPolygon.same_object(rPolygon.mpPolygon)) + return true; + + return ((*mpPolygon) == (*rPolygon.mpPolygon)); + } + + bool B2DPolygon::operator!=(const B2DPolygon& rPolygon) const + { + return !(*this == rPolygon); + } + + sal_uInt32 B2DPolygon::count() const + { + return mpPolygon->count(); + } + + B2DPoint B2DPolygon::getB2DPoint(sal_uInt32 nIndex) const + { + OSL_ENSURE(nIndex < mpPolygon->count(), "B2DPolygon access outside range (!)"); + + return mpPolygon->getPoint(nIndex); + } + + void B2DPolygon::setB2DPoint(sal_uInt32 nIndex, const B2DPoint& rValue) + { + OSL_ENSURE(nIndex < mpPolygon->count(), "B2DPolygon access outside range (!)"); + + if(getB2DPoint(nIndex) != rValue) + { + mpPolygon->setPoint(nIndex, rValue); + } + } + + void B2DPolygon::reserve(sal_uInt32 nCount) + { + mpPolygon->reserve(nCount); + } + + void B2DPolygon::insert(sal_uInt32 nIndex, const B2DPoint& rPoint, sal_uInt32 nCount) + { + OSL_ENSURE(nIndex <= mpPolygon->count(), "B2DPolygon Insert outside range (!)"); + + if(nCount) + { + mpPolygon->insert(nIndex, rPoint, nCount); + } + } + + void B2DPolygon::append(const B2DPoint& rPoint, sal_uInt32 nCount) + { + if(nCount) + { + mpPolygon->insert(mpPolygon->count(), rPoint, nCount); + } + } + + void B2DPolygon::append(const B2DPoint& rPoint) + { + mpPolygon->append(rPoint); + } + + B2DPoint B2DPolygon::getPrevControlPoint(sal_uInt32 nIndex) const + { + OSL_ENSURE(nIndex < mpPolygon->count(), "B2DPolygon access outside range (!)"); + + if(mpPolygon->areControlPointsUsed()) + { + return mpPolygon->getPoint(nIndex) + mpPolygon->getPrevControlVector(nIndex); + } + else + { + return mpPolygon->getPoint(nIndex); + } + } + + B2DPoint B2DPolygon::getNextControlPoint(sal_uInt32 nIndex) const + { + OSL_ENSURE(nIndex < mpPolygon->count(), "B2DPolygon access outside range (!)"); + + if(mpPolygon->areControlPointsUsed()) + { + return mpPolygon->getPoint(nIndex) + mpPolygon->getNextControlVector(nIndex); + } + else + { + return mpPolygon->getPoint(nIndex); + } + } + + void B2DPolygon::setPrevControlPoint(sal_uInt32 nIndex, const B2DPoint& rValue) + { + OSL_ENSURE(nIndex < mpPolygon->count(), "B2DPolygon access outside range (!)"); + const basegfx::B2DVector aNewVector(rValue - mpPolygon->getPoint(nIndex)); + + if(mpPolygon->getPrevControlVector(nIndex) != aNewVector) + { + mpPolygon->setPrevControlVector(nIndex, aNewVector); + } + } + + void B2DPolygon::setNextControlPoint(sal_uInt32 nIndex, const B2DPoint& rValue) + { + OSL_ENSURE(nIndex < mpPolygon->count(), "B2DPolygon access outside range (!)"); + const basegfx::B2DVector aNewVector(rValue - mpPolygon->getPoint(nIndex)); + + if(mpPolygon->getNextControlVector(nIndex) != aNewVector) + { + mpPolygon->setNextControlVector(nIndex, aNewVector); + } + } + + void B2DPolygon::setControlPoints(sal_uInt32 nIndex, const basegfx::B2DPoint& rPrev, const basegfx::B2DPoint& rNext) + { + OSL_ENSURE(nIndex < mpPolygon->count(), "B2DPolygon access outside range (!)"); + const B2DPoint aPoint(mpPolygon->getPoint(nIndex)); + const basegfx::B2DVector aNewPrev(rPrev - aPoint); + const basegfx::B2DVector aNewNext(rNext - aPoint); + + if(mpPolygon->getPrevControlVector(nIndex) != aNewPrev || mpPolygon->getNextControlVector(nIndex) != aNewNext) + { + mpPolygon->setControlVectors(nIndex, aNewPrev, aNewNext); + } + } + + void B2DPolygon::resetPrevControlPoint(sal_uInt32 nIndex) + { + OSL_ENSURE(nIndex < mpPolygon->count(), "B2DPolygon access outside range (!)"); + + if(mpPolygon->areControlPointsUsed() && !mpPolygon->getPrevControlVector(nIndex).equalZero()) + { + mpPolygon->setPrevControlVector(nIndex, B2DVector::getEmptyVector()); + } + } + + void B2DPolygon::resetNextControlPoint(sal_uInt32 nIndex) + { + OSL_ENSURE(nIndex < mpPolygon->count(), "B2DPolygon access outside range (!)"); + + if(mpPolygon->areControlPointsUsed() && !mpPolygon->getNextControlVector(nIndex).equalZero()) + { + mpPolygon->setNextControlVector(nIndex, B2DVector::getEmptyVector()); + } + } + + void B2DPolygon::resetControlPoints(sal_uInt32 nIndex) + { + OSL_ENSURE(nIndex < mpPolygon->count(), "B2DPolygon access outside range (!)"); + + if(mpPolygon->areControlPointsUsed() && + (!mpPolygon->getPrevControlVector(nIndex).equalZero() || !mpPolygon->getNextControlVector(nIndex).equalZero())) + { + mpPolygon->resetControlVectors(nIndex); + } + } + + void B2DPolygon::resetControlPoints() + { + if(mpPolygon->areControlPointsUsed()) + { + mpPolygon->resetControlVectors(); + } + } + + void B2DPolygon::appendBezierSegment( + const B2DPoint& rNextControlPoint, + const B2DPoint& rPrevControlPoint, + const B2DPoint& rPoint) + { + const B2DVector aNewNextVector(mpPolygon->count() ? B2DVector(rNextControlPoint - mpPolygon->getPoint(mpPolygon->count() - 1)) : B2DVector::getEmptyVector()); + const B2DVector aNewPrevVector(rPrevControlPoint - rPoint); + + if(aNewNextVector.equalZero() && aNewPrevVector.equalZero()) + { + mpPolygon->insert(mpPolygon->count(), rPoint, 1); + } + else + { + mpPolygon->appendBezierSegment(aNewNextVector, aNewPrevVector, rPoint); + } + } + + bool B2DPolygon::areControlPointsUsed() const + { + return mpPolygon->areControlPointsUsed(); + } + + bool B2DPolygon::isPrevControlPointUsed(sal_uInt32 nIndex) const + { + OSL_ENSURE(nIndex < mpPolygon->count(), "B2DPolygon access outside range (!)"); + + return (mpPolygon->areControlPointsUsed() && !mpPolygon->getPrevControlVector(nIndex).equalZero()); + } + + bool B2DPolygon::isNextControlPointUsed(sal_uInt32 nIndex) const + { + OSL_ENSURE(nIndex < mpPolygon->count(), "B2DPolygon access outside range (!)"); + + return (mpPolygon->areControlPointsUsed() && !mpPolygon->getNextControlVector(nIndex).equalZero()); + } + + B2VectorContinuity B2DPolygon::getContinuityInPoint(sal_uInt32 nIndex) const + { + OSL_ENSURE(nIndex < mpPolygon->count(), "B2DPolygon access outside range (!)"); + + if(mpPolygon->areControlPointsUsed()) + { + const B2DVector& rPrev(mpPolygon->getPrevControlVector(nIndex)); + const B2DVector& rNext(mpPolygon->getNextControlVector(nIndex)); + + return getContinuity(rPrev, rNext); + } + else + { + return CONTINUITY_NONE; + } + } + + bool B2DPolygon::isBezierSegment(sal_uInt32 nIndex) const + { + OSL_ENSURE(nIndex < mpPolygon->count(), "B2DPolygon access outside range (!)"); + + if(mpPolygon->areControlPointsUsed()) + { + // Check if the edge exists + const bool bNextIndexValidWithoutClose(nIndex + 1 < mpPolygon->count()); + + if(bNextIndexValidWithoutClose || mpPolygon->isClosed()) + { + const sal_uInt32 nNextIndex(bNextIndexValidWithoutClose ? nIndex + 1 : 0); + return (!mpPolygon->getPrevControlVector(nNextIndex).equalZero() + || !mpPolygon->getNextControlVector(nIndex).equalZero()); + } + else + { + // no valid edge -> no bezier segment, even when local next + // vector may be used + return false; + } + } + else + { + // no control points -> no bezier segment + return false; + } + } + + void B2DPolygon::getBezierSegment(sal_uInt32 nIndex, B2DCubicBezier& rTarget) const + { + OSL_ENSURE(nIndex < mpPolygon->count(), "B2DPolygon access outside range (!)"); + const bool bNextIndexValidWithoutClose(nIndex + 1 < mpPolygon->count()); + + if(bNextIndexValidWithoutClose || mpPolygon->isClosed()) + { + const sal_uInt32 nNextIndex(bNextIndexValidWithoutClose ? nIndex + 1 : 0); + rTarget.setStartPoint(mpPolygon->getPoint(nIndex)); + rTarget.setEndPoint(mpPolygon->getPoint(nNextIndex)); + + if(mpPolygon->areControlPointsUsed()) + { + rTarget.setControlPointA(rTarget.getStartPoint() + mpPolygon->getNextControlVector(nIndex)); + rTarget.setControlPointB(rTarget.getEndPoint() + mpPolygon->getPrevControlVector(nNextIndex)); + } + else + { + // no bezier, reset control poins at rTarget + rTarget.setControlPointA(rTarget.getStartPoint()); + rTarget.setControlPointB(rTarget.getEndPoint()); + } + } + else + { + // no valid edge at all, reset rTarget to current point + const B2DPoint aPoint(mpPolygon->getPoint(nIndex)); + rTarget.setStartPoint(aPoint); + rTarget.setEndPoint(aPoint); + rTarget.setControlPointA(aPoint); + rTarget.setControlPointB(aPoint); + } + } + + B2DPolygon B2DPolygon::getDefaultAdaptiveSubdivision() const + { + return mpPolygon->getDefaultAdaptiveSubdivision(*this); + } + + B2DRange B2DPolygon::getB2DRange() const + { + return mpPolygon->getB2DRange(*this); + } + + void B2DPolygon::insert(sal_uInt32 nIndex, const B2DPolygon& rPoly, sal_uInt32 nIndex2, sal_uInt32 nCount) + { + OSL_ENSURE(nIndex <= mpPolygon->count(), "B2DPolygon Insert outside range (!)"); + + if(rPoly.count()) + { + if(!nCount) + { + nCount = rPoly.count(); + } + + if(0 == nIndex2 && nCount == rPoly.count()) + { + mpPolygon->insert(nIndex, *rPoly.mpPolygon); + } + else + { + OSL_ENSURE(nIndex2 + nCount <= rPoly.mpPolygon->count(), "B2DPolygon Insert outside range (!)"); + ImplB2DPolygon aTempPoly(*rPoly.mpPolygon, nIndex2, nCount); + mpPolygon->insert(nIndex, aTempPoly); + } + } + } + + void B2DPolygon::append(const B2DPolygon& rPoly, sal_uInt32 nIndex, sal_uInt32 nCount) + { + if(rPoly.count()) + { + if(!nCount) + { + nCount = rPoly.count(); + } + + if(0 == nIndex && nCount == rPoly.count()) + { + mpPolygon->insert(mpPolygon->count(), *rPoly.mpPolygon); + } + else + { + OSL_ENSURE(nIndex + nCount <= rPoly.mpPolygon->count(), "B2DPolygon Append outside range (!)"); + ImplB2DPolygon aTempPoly(*rPoly.mpPolygon, nIndex, nCount); + mpPolygon->insert(mpPolygon->count(), aTempPoly); + } + } + } + + void B2DPolygon::remove(sal_uInt32 nIndex, sal_uInt32 nCount) + { + OSL_ENSURE(nIndex + nCount <= mpPolygon->count(), "B2DPolygon Remove outside range (!)"); + + if(nCount) + { + mpPolygon->remove(nIndex, nCount); + } + } + + void B2DPolygon::clear() + { + mpPolygon = DefaultPolygon::get(); + } + + bool B2DPolygon::isClosed() const + { + return mpPolygon->isClosed(); + } + + void B2DPolygon::setClosed(bool bNew) + { + if(isClosed() != bNew) + { + mpPolygon->setClosed(bNew); + } + } + + void B2DPolygon::flip() + { + if(count() > 1) + { + mpPolygon->flip(); + } + } + + bool B2DPolygon::hasDoublePoints() const + { + return (mpPolygon->count() > 1 && mpPolygon->hasDoublePoints()); + } + + void B2DPolygon::removeDoublePoints() + { + if(hasDoublePoints()) + { + mpPolygon->removeDoublePointsAtBeginEnd(); + mpPolygon->removeDoublePointsWholeTrack(); + } + } + + void B2DPolygon::transform(const B2DHomMatrix& rMatrix) + { + if(mpPolygon->count() && !rMatrix.isIdentity()) + { + mpPolygon->transform(rMatrix); + } + } +} // end of namespace basegfx + +////////////////////////////////////////////////////////////////////////////// +// eof diff --git a/basegfx/source/polygon/b2dpolygonclipper.cxx b/basegfx/source/polygon/b2dpolygonclipper.cxx new file mode 100644 index 000000000000..6e5c7701e2ec --- /dev/null +++ b/basegfx/source/polygon/b2dpolygonclipper.cxx @@ -0,0 +1,873 @@ +/************************************************************************* + * + * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER. + * + * Copyright 2000, 2010 Oracle and/or its affiliates. + * + * OpenOffice.org - a multi-platform office productivity suite + * + * This file is part of OpenOffice.org. + * + * OpenOffice.org is free software: you can redistribute it and/or modify + * it under the terms of the GNU Lesser General Public License version 3 + * only, as published by the Free Software Foundation. + * + * OpenOffice.org is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU Lesser General Public License version 3 for more details + * (a copy is included in the LICENSE file that accompanied this code). + * + * You should have received a copy of the GNU Lesser General Public License + * version 3 along with OpenOffice.org. If not, see + * <http://www.openoffice.org/license.html> + * for a copy of the LGPLv3 License. + * + ************************************************************************/ + +// MARKER(update_precomp.py): autogen include statement, do not remove +#include "precompiled_basegfx.hxx" +#include <basegfx/polygon/b2dpolygonclipper.hxx> +#include <osl/diagnose.h> +#include <basegfx/polygon/b2dpolygontools.hxx> +#include <basegfx/numeric/ftools.hxx> +#include <basegfx/matrix/b2dhommatrix.hxx> +#include <basegfx/polygon/b2dpolypolygoncutter.hxx> +#include <basegfx/polygon/b2dpolygoncutandtouch.hxx> +#include <basegfx/polygon/b2dpolypolygontools.hxx> +#include <basegfx/curve/b2dcubicbezier.hxx> +#include <basegfx/tools/rectcliptools.hxx> +#include <basegfx/matrix/b2dhommatrixtools.hxx> + +////////////////////////////////////////////////////////////////////////////// + +namespace basegfx +{ + namespace tools + { + B2DPolyPolygon clipPolygonOnParallelAxis(const B2DPolygon& rCandidate, bool bParallelToXAxis, bool bAboveAxis, double fValueOnOtherAxis, bool bStroke) + { + B2DPolyPolygon aRetval; + + if(rCandidate.count()) + { + const B2DRange aCandidateRange(getRange(rCandidate)); + + if(bParallelToXAxis && fTools::moreOrEqual(aCandidateRange.getMinY(), fValueOnOtherAxis)) + { + // completely above and on the clip line. also true for curves. + if(bAboveAxis) + { + // add completely + aRetval.append(rCandidate); + } + } + else if(bParallelToXAxis && fTools::lessOrEqual(aCandidateRange.getMaxY(), fValueOnOtherAxis)) + { + // completely below and on the clip line. also true for curves. + if(!bAboveAxis) + { + // add completely + aRetval.append(rCandidate); + } + } + else if(!bParallelToXAxis && fTools::moreOrEqual(aCandidateRange.getMinX(), fValueOnOtherAxis)) + { + // completely right of and on the clip line. also true for curves. + if(bAboveAxis) + { + // add completely + aRetval.append(rCandidate); + } + } + else if(!bParallelToXAxis && fTools::lessOrEqual(aCandidateRange.getMaxX(), fValueOnOtherAxis)) + { + // completely left of and on the clip line. also true for curves. + if(!bAboveAxis) + { + // add completely + aRetval.append(rCandidate); + } + } + else + { + // add cuts with axis to polygon, including bezier segments + // Build edge to cut with. Make it a little big longer than needed for + // numerical stability. We want to cut against the edge seen as endless + // ray here, but addPointsAtCuts() will limit itself to the + // edge's range ]0.0 .. 1.0[. + const double fSmallExtension((aCandidateRange.getWidth() + aCandidateRange.getHeight()) * (0.5 * 0.1)); + const B2DPoint aStart( + bParallelToXAxis ? aCandidateRange.getMinX() - fSmallExtension : fValueOnOtherAxis, + bParallelToXAxis ? fValueOnOtherAxis : aCandidateRange.getMinY() - fSmallExtension); + const B2DPoint aEnd( + bParallelToXAxis ? aCandidateRange.getMaxX() + fSmallExtension : fValueOnOtherAxis, + bParallelToXAxis ? fValueOnOtherAxis : aCandidateRange.getMaxY() + fSmallExtension); + const B2DPolygon aCandidate(addPointsAtCuts(rCandidate, aStart, aEnd)); + const sal_uInt32 nPointCount(aCandidate.count()); + const sal_uInt32 nEdgeCount(aCandidate.isClosed() ? nPointCount : nPointCount - 1L); + B2DCubicBezier aEdge; + B2DPolygon aRun; + + for(sal_uInt32 a(0L); a < nEdgeCount; a++) + { + aCandidate.getBezierSegment(a, aEdge); + const B2DPoint aTestPoint(aEdge.interpolatePoint(0.5)); + const bool bInside(bParallelToXAxis ? + fTools::moreOrEqual(aTestPoint.getY(), fValueOnOtherAxis) == bAboveAxis : + fTools::moreOrEqual(aTestPoint.getX(), fValueOnOtherAxis) == bAboveAxis); + + if(bInside) + { + if(!aRun.count() || !aRun.getB2DPoint(aRun.count() - 1).equal(aEdge.getStartPoint())) + { + aRun.append(aEdge.getStartPoint()); + } + + if(aEdge.isBezier()) + { + aRun.appendBezierSegment(aEdge.getControlPointA(), aEdge.getControlPointB(), aEdge.getEndPoint()); + } + else + { + aRun.append(aEdge.getEndPoint()); + } + } + else + { + if(bStroke && aRun.count()) + { + aRetval.append(aRun); + aRun.clear(); + } + } + } + + if(aRun.count()) + { + if(bStroke) + { + // try to merge this last and first polygon; they may have been + // the former polygon's start/end point + if(aRetval.count()) + { + const B2DPolygon aStartPolygon(aRetval.getB2DPolygon(0)); + + if(aStartPolygon.count() && aStartPolygon.getB2DPoint(0).equal(aRun.getB2DPoint(aRun.count() - 1))) + { + // append start polygon to aRun, remove from result set + aRun.append(aStartPolygon); aRun.removeDoublePoints(); + aRetval.remove(0); + } + } + + aRetval.append(aRun); + } + else + { + // set closed flag and correct last point (which is added double now). + closeWithGeometryChange(aRun); + aRetval.append(aRun); + } + } + } + } + + return aRetval; + } + + B2DPolyPolygon clipPolyPolygonOnParallelAxis(const B2DPolyPolygon& rCandidate, bool bParallelToXAxis, bool bAboveAxis, double fValueOnOtherAxis, bool bStroke) + { + const sal_uInt32 nPolygonCount(rCandidate.count()); + B2DPolyPolygon aRetval; + + for(sal_uInt32 a(0L); a < nPolygonCount; a++) + { + const B2DPolyPolygon aClippedPolyPolygon(clipPolygonOnParallelAxis(rCandidate.getB2DPolygon(a), bParallelToXAxis, bAboveAxis, fValueOnOtherAxis, bStroke)); + + if(aClippedPolyPolygon.count()) + { + aRetval.append(aClippedPolyPolygon); + } + } + + return aRetval; + } + + B2DPolyPolygon clipPolygonOnRange(const B2DPolygon& rCandidate, const B2DRange& rRange, bool bInside, bool bStroke) + { + const sal_uInt32 nCount(rCandidate.count()); + B2DPolyPolygon aRetval; + + if(!nCount) + { + // source is empty + return aRetval; + } + + if(rRange.isEmpty()) + { + if(bInside) + { + // nothing is inside an empty range + return aRetval; + } + else + { + // everything is outside an empty range + return B2DPolyPolygon(rCandidate); + } + } + + const B2DRange aCandidateRange(getRange(rCandidate)); + + if(rRange.isInside(aCandidateRange)) + { + // candidate is completely inside given range + if(bInside) + { + // nothing to do + return B2DPolyPolygon(rCandidate); + } + else + { + // nothing is outside, then + return aRetval; + } + } + + if(!bInside) + { + // cutting off the outer parts of filled polygons at parallell + // lines to the axes is only possible for the inner part, not for + // the outer part which means cutting a hole into the original polygon. + // This is because the inner part is a logical AND-operation of + // the four implied half-planes, but the outer part is not. + // It is possible for strokes, but with creating unnecessary extra + // cuts, so using clipPolygonOnPolyPolygon is better there, too. + // This needs to be done with the topology knowlegde and is unfurtunately + // more expensive, too. + const B2DPolygon aClip(createPolygonFromRect(rRange)); + + return clipPolygonOnPolyPolygon(rCandidate, B2DPolyPolygon(aClip), bInside, bStroke); + } + + // clip against the four axes of the range + // against X-Axis, lower value + aRetval = clipPolygonOnParallelAxis(rCandidate, true, bInside, rRange.getMinY(), bStroke); + + if(aRetval.count()) + { + // against Y-Axis, lower value + if(1L == aRetval.count()) + { + aRetval = clipPolygonOnParallelAxis(aRetval.getB2DPolygon(0L), false, bInside, rRange.getMinX(), bStroke); + } + else + { + aRetval = clipPolyPolygonOnParallelAxis(aRetval, false, bInside, rRange.getMinX(), bStroke); + } + + if(aRetval.count()) + { + // against X-Axis, higher value + if(1L == aRetval.count()) + { + aRetval = clipPolygonOnParallelAxis(aRetval.getB2DPolygon(0L), true, !bInside, rRange.getMaxY(), bStroke); + } + else + { + aRetval = clipPolyPolygonOnParallelAxis(aRetval, true, !bInside, rRange.getMaxY(), bStroke); + } + + if(aRetval.count()) + { + // against Y-Axis, higher value + if(1L == aRetval.count()) + { + aRetval = clipPolygonOnParallelAxis(aRetval.getB2DPolygon(0L), false, !bInside, rRange.getMaxX(), bStroke); + } + else + { + aRetval = clipPolyPolygonOnParallelAxis(aRetval, false, !bInside, rRange.getMaxX(), bStroke); + } + } + } + } + + return aRetval; + } + + B2DPolyPolygon clipPolyPolygonOnRange(const B2DPolyPolygon& rCandidate, const B2DRange& rRange, bool bInside, bool bStroke) + { + const sal_uInt32 nPolygonCount(rCandidate.count()); + B2DPolyPolygon aRetval; + + if(!nPolygonCount) + { + // source is empty + return aRetval; + } + + if(rRange.isEmpty()) + { + if(bInside) + { + // nothing is inside an empty range + return aRetval; + } + else + { + // everything is outside an empty range + return rCandidate; + } + } + + if(bInside) + { + for(sal_uInt32 a(0L); a < nPolygonCount; a++) + { + const B2DPolyPolygon aClippedPolyPolygon(clipPolygonOnRange(rCandidate.getB2DPolygon(a), rRange, bInside, bStroke)); + + if(aClippedPolyPolygon.count()) + { + aRetval.append(aClippedPolyPolygon); + } + } + } + else + { + // for details, see comment in clipPolygonOnRange for the "cutting off + // the outer parts of filled polygons at parallell lines" explanations + const B2DPolygon aClip(createPolygonFromRect(rRange)); + + return clipPolyPolygonOnPolyPolygon(rCandidate, B2DPolyPolygon(aClip), bInside, bStroke); + } + + return aRetval; + } + + B2DPolyPolygon clipPolygonOnEdge(const B2DPolygon& rCandidate, const B2DPoint& rPointA, const B2DPoint& rPointB, bool bAbove, bool bStroke) + { + B2DPolyPolygon aRetval; + + if(rPointA.equal(rPointB)) + { + // edge has no length, return polygon + aRetval.append(rCandidate); + } + else if(rCandidate.count()) + { + const B2DVector aEdge(rPointB - rPointA); + B2DPolygon aCandidate(rCandidate); + + // translate and rotate polygon so that given edge is on x axis + B2DHomMatrix aMatrixTransform(basegfx::tools::createTranslateB2DHomMatrix(-rPointA.getX(), -rPointA.getY())); + aMatrixTransform.rotate(-atan2(aEdge.getY(), aEdge.getX())); + aCandidate.transform(aMatrixTransform); + + // call clip method on X-Axis + aRetval = clipPolygonOnParallelAxis(aCandidate, true, bAbove, 0.0, bStroke); + + if(aRetval.count()) + { + // if there is a result, it needs to be transformed back + aMatrixTransform.invert(); + aRetval.transform(aMatrixTransform); + } + } + + return aRetval; + } + + B2DPolyPolygon clipPolyPolygonOnEdge(const B2DPolyPolygon& rCandidate, const B2DPoint& rPointA, const B2DPoint& rPointB, bool bAbove, bool bStroke) + { + B2DPolyPolygon aRetval; + + if(rPointA.equal(rPointB)) + { + // edge has no length, return polygon + aRetval = rCandidate; + } + else if(rCandidate.count()) + { + const B2DVector aEdge(rPointB - rPointA); + B2DPolyPolygon aCandidate(rCandidate); + + // translate and rotate polygon so that given edge is on x axis + B2DHomMatrix aMatrixTransform(basegfx::tools::createTranslateB2DHomMatrix(-rPointA.getX(), -rPointA.getY())); + aMatrixTransform.rotate(-atan2(aEdge.getY(), aEdge.getX())); + aCandidate.transform(aMatrixTransform); + + // call clip method on X-Axis + aRetval = clipPolyPolygonOnParallelAxis(aCandidate, true, bAbove, 0.0, bStroke); + + if(aRetval.count()) + { + // if there is a result, it needs to be transformed back + aMatrixTransform.invert(); + aRetval.transform(aMatrixTransform); + } + } + + return aRetval; + } + + ////////////////////////////////////////////////////////////////////////////// + + B2DPolyPolygon clipPolyPolygonOnPolyPolygon(const B2DPolyPolygon& rCandidate, const B2DPolyPolygon& rClip, bool bInside, bool bStroke) + { + B2DPolyPolygon aRetval; + + if(rCandidate.count() && rClip.count()) + { + if(bStroke) + { + // line clipping, create line snippets by first adding all cut points and + // then marching along the edges and detecting if they are inside or outside + // the clip polygon + for(sal_uInt32 a(0); a < rCandidate.count(); a++) + { + // add cuts with clip to polygon, including bezier segments + const B2DPolygon aCandidate(addPointsAtCuts(rCandidate.getB2DPolygon(a), rClip)); + const sal_uInt32 nPointCount(aCandidate.count()); + const sal_uInt32 nEdgeCount(aCandidate.isClosed() ? nPointCount : nPointCount - 1L); + B2DCubicBezier aEdge; + B2DPolygon aRun; + + for(sal_uInt32 b(0); b < nEdgeCount; b++) + { + aCandidate.getBezierSegment(b, aEdge); + const B2DPoint aTestPoint(aEdge.interpolatePoint(0.5)); + const bool bIsInside(tools::isInside(rClip, aTestPoint) == bInside); + + if(bIsInside) + { + if(!aRun.count()) + { + aRun.append(aEdge.getStartPoint()); + } + + if(aEdge.isBezier()) + { + aRun.appendBezierSegment(aEdge.getControlPointA(), aEdge.getControlPointB(), aEdge.getEndPoint()); + } + else + { + aRun.append(aEdge.getEndPoint()); + } + } + else + { + if(aRun.count()) + { + aRetval.append(aRun); + aRun.clear(); + } + } + } + + if(aRun.count()) + { + // try to merge this last and first polygon; they may have been + // the former polygon's start/end point + if(aRetval.count()) + { + const B2DPolygon aStartPolygon(aRetval.getB2DPolygon(0)); + + if(aStartPolygon.count() && aStartPolygon.getB2DPoint(0).equal(aRun.getB2DPoint(aRun.count() - 1))) + { + // append start polygon to aRun, remove from result set + aRun.append(aStartPolygon); aRun.removeDoublePoints(); + aRetval.remove(0); + } + } + + aRetval.append(aRun); + } + } + } + else + { + // area clipping + B2DPolyPolygon aMergePolyPolygonA(rClip); + + // First solve all polygon-self and polygon-polygon intersections. + // Also get rid of some not-needed polygons (neutral, no area -> when + // no intersections, these are tubes). + // Now it is possible to correct the orientations in the cut-free + // polygons to values corresponding to painting the PolyPolygon with + // a XOR-WindingRule. + aMergePolyPolygonA = solveCrossovers(aMergePolyPolygonA); + aMergePolyPolygonA = stripNeutralPolygons(aMergePolyPolygonA); + aMergePolyPolygonA = correctOrientations(aMergePolyPolygonA); + + if(!bInside) + { + // if we want to get the outside of the clip polygon, make + // it a 'Hole' in topological sense + aMergePolyPolygonA.flip(); + } + + B2DPolyPolygon aMergePolyPolygonB(rCandidate); + + // prepare 2nd source polygon in same way + aMergePolyPolygonB = solveCrossovers(aMergePolyPolygonB); + aMergePolyPolygonB = stripNeutralPolygons(aMergePolyPolygonB); + aMergePolyPolygonB = correctOrientations(aMergePolyPolygonB); + + // to clip against each other, concatenate and solve all + // polygon-polygon crossovers. polygon-self do not need to + // be solved again, they were solved in the preparation. + aRetval.append(aMergePolyPolygonA); + aRetval.append(aMergePolyPolygonB); + aRetval = solveCrossovers(aRetval); + + // now remove neutral polygons (closed, but no area). In a last + // step throw away all polygons which have a depth of less than 1 + // which means there was no logical AND at their position. For the + // not-inside solution, the clip was flipped to define it as 'Hole', + // so the removal rule is different here; remove all with a depth + // of less than 0 (aka holes). + aRetval = stripNeutralPolygons(aRetval); + aRetval = stripDispensablePolygons(aRetval, bInside); + } + } + + return aRetval; + } + + ////////////////////////////////////////////////////////////////////////////// + + B2DPolyPolygon clipPolygonOnPolyPolygon(const B2DPolygon& rCandidate, const B2DPolyPolygon& rClip, bool bInside, bool bStroke) + { + B2DPolyPolygon aRetval; + + if(rCandidate.count() && rClip.count()) + { + aRetval = clipPolyPolygonOnPolyPolygon(B2DPolyPolygon(rCandidate), rClip, bInside, bStroke); + } + + return aRetval; + } + + ////////////////////////////////////////////////////////////////////////////// + + /* + * let a plane be defined as + * + * v.n+d=0 + * + * and a ray be defined as + * + * a+(b-a)*t=0 + * + * substitute and rearranging yields + * + * t = -(a.n+d)/(n.(b-a)) + * + * if the denominator is zero, the line is either + * contained in the plane or parallel to the plane. + * in either case, there is no intersection. + * if numerator and denominator are both zero, the + * ray is contained in the plane. + * + */ + struct scissor_plane { + double nx,ny; // plane normal + double d; // [-] minimum distance from origin + sal_uInt32 clipmask; // clipping mask, e.g. 1000 1000 + }; + + /* + * + * polygon clipping rules (straight out of Foley and Van Dam) + * =========================================================== + * current |next |emit + * ____________________________________ + * inside |inside |next + * inside |outside |intersect with clip plane + * outside |outside |nothing + * outside |inside |intersect with clip plane follwed by next + * + */ + sal_uInt32 scissorLineSegment( ::basegfx::B2DPoint *in_vertex, // input buffer + sal_uInt32 in_count, // number of verts in input buffer + ::basegfx::B2DPoint *out_vertex, // output buffer + scissor_plane *pPlane, // scissoring plane + const ::basegfx::B2DRectangle &rR ) // clipping rectangle + { + ::basegfx::B2DPoint *curr; + ::basegfx::B2DPoint *next; + + sal_uInt32 out_count=0; + + // process all the verts + for(sal_uInt32 i=0; i<in_count; i++) { + + // vertices are relative to the coordinate + // system defined by the rectangle. + curr = &in_vertex[i]; + next = &in_vertex[(i+1)%in_count]; + + // perform clipping judgement & mask against current plane. + sal_uInt32 clip = pPlane->clipmask & ((getCohenSutherlandClipFlags(*curr,rR)<<4)|getCohenSutherlandClipFlags(*next,rR)); + + if(clip==0) { // both verts are inside + out_vertex[out_count++] = *next; + } + else if((clip&0x0f) && (clip&0xf0)) { // both verts are outside + } + else if((clip&0x0f) && (clip&0xf0)==0) { // curr is inside, next is outside + + // direction vector from 'current' to 'next', *not* normalized + // to bring 't' into the [0<=x<=1] intervall. + ::basegfx::B2DPoint dir((*next)-(*curr)); + + double denominator = ( pPlane->nx*dir.getX() + + pPlane->ny*dir.getY() ); + double numerator = ( pPlane->nx*curr->getX() + + pPlane->ny*curr->getY() + + pPlane->d ); + double t = -numerator/denominator; + + // calculate the actual point of intersection + ::basegfx::B2DPoint intersection( curr->getX()+t*dir.getX(), + curr->getY()+t*dir.getY() ); + + out_vertex[out_count++] = intersection; + } + else if((clip&0x0f)==0 && (clip&0xf0)) { // curr is outside, next is inside + + // direction vector from 'current' to 'next', *not* normalized + // to bring 't' into the [0<=x<=1] intervall. + ::basegfx::B2DPoint dir((*next)-(*curr)); + + double denominator = ( pPlane->nx*dir.getX() + + pPlane->ny*dir.getY() ); + double numerator = ( pPlane->nx*curr->getX() + + pPlane->ny*curr->getY() + + pPlane->d ); + double t = -numerator/denominator; + + // calculate the actual point of intersection + ::basegfx::B2DPoint intersection( curr->getX()+t*dir.getX(), + curr->getY()+t*dir.getY() ); + + out_vertex[out_count++] = intersection; + out_vertex[out_count++] = *next; + } + } + + return out_count; + } + + B2DPolygon clipTriangleListOnRange( const B2DPolygon& rCandidate, + const B2DRange& rRange ) + { + B2DPolygon aResult; + + if( !(rCandidate.count()%3) ) + { + const int scissor_plane_count = 4; + + scissor_plane sp[scissor_plane_count]; + + sp[0].nx = +1.0; + sp[0].ny = +0.0; + sp[0].d = -(rRange.getMinX()); + sp[0].clipmask = (RectClipFlags::LEFT << 4) | RectClipFlags::LEFT; // 0001 0001 + sp[1].nx = -1.0; + sp[1].ny = +0.0; + sp[1].d = +(rRange.getMaxX()); + sp[1].clipmask = (RectClipFlags::RIGHT << 4) | RectClipFlags::RIGHT; // 0010 0010 + sp[2].nx = +0.0; + sp[2].ny = +1.0; + sp[2].d = -(rRange.getMinY()); + sp[2].clipmask = (RectClipFlags::TOP << 4) | RectClipFlags::TOP; // 0100 0100 + sp[3].nx = +0.0; + sp[3].ny = -1.0; + sp[3].d = +(rRange.getMaxY()); + sp[3].clipmask = (RectClipFlags::BOTTOM << 4) | RectClipFlags::BOTTOM; // 1000 1000 + + // retrieve the number of vertices of the triangulated polygon + const sal_uInt32 nVertexCount = rCandidate.count(); + + if(nVertexCount) + { + //////////////////////////////////////////////////////////////////////// + //////////////////////////////////////////////////////////////////////// + //////////////////////////////////////////////////////////////////////// + // + // Upper bound for the maximal number of vertices when intersecting an + // axis-aligned rectangle with a triangle in E2 + // + // The rectangle and the triangle are in general position, and have 4 and 3 + // vertices, respectively. + // + // Lemma: Since the rectangle is a convex polygon ( see + // http://mathworld.wolfram.com/ConvexPolygon.html for a definition), and + // has no holes, it follows that any straight line will intersect the + // rectangle's border line at utmost two times (with the usual + // tie-breaking rule, if the intersection exactly hits an already existing + // rectangle vertex, that this intersection is only attributed to one of + // the adjoining edges). Thus, having a rectangle intersected with + // a half-plane (one side of a straight line denotes 'inside', the + // other 'outside') will at utmost add _one_ vertex to the resulting + // intersection polygon (adding two intersection vertices, and removing at + // least one rectangle vertex): + // + // * + // +--+-----------------+ + // | * | + // |* | + // + | + // *| | + // * | | + // +--------------------+ + // + // Proof: If the straight line intersects the rectangle two + // times, it does so for distinct edges, i.e. the intersection has + // minimally one of the rectangle's vertices on either side of the straight + // line (but maybe more). Thus, the intersection with a half-plane has + // minimally _one_ rectangle vertex removed from the resulting clip + // polygon, and therefore, a clip against a half-plane has the net effect + // of adding at utmost _one_ vertex to the resulting clip polygon. + // + // Theorem: The intersection of a rectangle and a triangle results in a + // polygon with at utmost 7 vertices. + // + // Proof: The inside of the triangle can be described as the consecutive + // intersection with three half-planes. Together with the lemma above, this + // results in at utmost 3 additional vertices added to the already existing 4 + // rectangle vertices. + // + // This upper bound is attained with the following example configuration: + // + // * + // *** + // ** * + // ** * + // ** * + // ** * + // ** * + // ** * + // ** * + // ** * + // ** * + // ----*2--------3 * + // | ** |* + // 1* 4 + // **| *| + // ** | * | + // **| * | + // 7* * | + // --*6-----5----- + // ** * + // ** + // + // As we need to scissor all triangles against the + // output rectangle we employ an output buffer for the + // resulting vertices. the question is how large this + // buffer needs to be compared to the number of + // incoming vertices. this buffer needs to hold at + // most the number of original vertices times '7'. see + // figure above for an example. scissoring triangles + // with the cohen-sutherland line clipping algorithm + // as implemented here will result in a triangle fan + // which will be rendered as separate triangles to + // avoid pipeline stalls for each scissored + // triangle. creating separate triangles from a + // triangle fan produces (n-2)*3 vertices where n is + // the number of vertices of the original triangle + // fan. for the maximum number of 7 vertices of + // resulting triangle fans we therefore need 15 times + // the number of original vertices. + // + //////////////////////////////////////////////////////////////////////// + //////////////////////////////////////////////////////////////////////// + //////////////////////////////////////////////////////////////////////// + + //const size_t nBufferSize = sizeof(vertex)*(nVertexCount*16); + //vertex *pVertices = (vertex*)alloca(nBufferSize); + //sal_uInt32 nNumOutput = 0; + + // we need to clip this triangle against the output rectangle + // to ensure that the resulting texture coordinates are in + // the valid range from [0<=st<=1]. under normal circustances + // we could use the BORDERCOLOR renderstate but some cards + // seem to ignore this feature. + ::basegfx::B2DPoint stack[3]; + unsigned int clipflag = 0; + + for(sal_uInt32 nIndex=0; nIndex<nVertexCount; ++nIndex) + { + // rotate stack + stack[0] = stack[1]; + stack[1] = stack[2]; + stack[2] = rCandidate.getB2DPoint(nIndex); + + // clipping judgement + clipflag |= !(rRange.isInside(stack[2])); + + if(nIndex > 1) + { + // consume vertices until a single seperate triangle has been visited. + if(!((nIndex+1)%3)) + { + // if any of the last three vertices was outside + // we need to scissor against the destination rectangle + if(clipflag & 7) + { + ::basegfx::B2DPoint buf0[16]; + ::basegfx::B2DPoint buf1[16]; + + sal_uInt32 vertex_count = 3; + + // clip against all 4 planes passing the result of + // each plane as the input to the next using a double buffer + vertex_count = scissorLineSegment(stack,vertex_count,buf1,&sp[0],rRange); + vertex_count = scissorLineSegment(buf1,vertex_count,buf0,&sp[1],rRange); + vertex_count = scissorLineSegment(buf0,vertex_count,buf1,&sp[2],rRange); + vertex_count = scissorLineSegment(buf1,vertex_count,buf0,&sp[3],rRange); + + if(vertex_count >= 3) + { + // convert triangle fan back to triangle list. + ::basegfx::B2DPoint v0(buf0[0]); + ::basegfx::B2DPoint v1(buf0[1]); + for(sal_uInt32 i=2; i<vertex_count; ++i) + { + ::basegfx::B2DPoint v2(buf0[i]); + aResult.append(v0); + aResult.append(v1); + aResult.append(v2); + v1 = v2; + } + } + } + else + { + // the last triangle has not been altered, simply copy to result + for(sal_uInt32 i=0; i<3; ++i) + aResult.append(stack[i]); + } + } + } + + clipflag <<= 1; + } + } + } + + return aResult; + } + + ////////////////////////////////////////////////////////////////////////////// + + } // end of namespace tools +} // end of namespace basegfx + +////////////////////////////////////////////////////////////////////////////// + +// eof diff --git a/basegfx/source/polygon/b2dpolygoncutandtouch.cxx b/basegfx/source/polygon/b2dpolygoncutandtouch.cxx new file mode 100644 index 000000000000..9eab4b26c8b3 --- /dev/null +++ b/basegfx/source/polygon/b2dpolygoncutandtouch.cxx @@ -0,0 +1,1209 @@ +/************************************************************************* + * + * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER. + * + * Copyright 2000, 2010 Oracle and/or its affiliates. + * + * OpenOffice.org - a multi-platform office productivity suite + * + * This file is part of OpenOffice.org. + * + * OpenOffice.org is free software: you can redistribute it and/or modify + * it under the terms of the GNU Lesser General Public License version 3 + * only, as published by the Free Software Foundation. + * + * OpenOffice.org is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU Lesser General Public License version 3 for more details + * (a copy is included in the LICENSE file that accompanied this code). + * + * You should have received a copy of the GNU Lesser General Public License + * version 3 along with OpenOffice.org. If not, see + * <http://www.openoffice.org/license.html> + * for a copy of the LGPLv3 License. + * + ************************************************************************/ + +// MARKER(update_precomp.py): autogen include statement, do not remove +#include "precompiled_basegfx.hxx" +#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/polygon/b2dpolypolygontools.hxx> +#include <basegfx/curve/b2dcubicbezier.hxx> + +#include <vector> +#include <algorithm> + +////////////////////////////////////////////////////////////////////////////// +// defines + +#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 = tools::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(0L); + + // add start point + aRetval.append(rCandidate.getB2DPoint(0)); + + for(sal_uInt32 a(0L); 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) + { + 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() - 1L).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). + tools::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 aequidistant 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() - 1L : 0L); + + if(nTempPointCount && nEdgeCount) + { + for(sal_uInt32 a(0L); a < nTempPointCount; a++) + { + const temporaryPoint& rTempPoint = rPointVector[a]; + const double fCutPosInPolygon((double)rTempPoint.getIndex() + rTempPoint.getCut()); + const double fRelativeCutPos(fCutPosInPolygon / (double)nEdgeCount); + rTempPoints.push_back(temporaryPoint(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))) + { + // no common start/end points, this can be no cuts + if(!(rCurrB.equal(rCurrA) || rCurrB.equal(rNextA) || rNextB.equal(rCurrA) || rNextB.equal(rNextA))) + { + const B2DVector aVecA(rNextA - rCurrA); + const B2DVector aVecB(rNextB - rCurrB); + double fCut(aVecA.cross(aVecB)); + + if(!fTools::equalZero(fCut)) + { + 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::more(fCut, fZero) && fTools::less(fCut, fOne)) + { + // 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::more(fCut2, fZero) && fTools::less(fCut2, 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.push_back(temporaryPoint(aCutPoint, nIndA, fCut)); + rTempPointsB.push_back(temporaryPoint(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 toches using findTouches(), but at last with commpn 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) + { + const sal_uInt32 nEdgeCountA(nPointCountA - 1); + const sal_uInt32 nEdgeCountB(nPointCountB - 1); + B2DPoint aCurrA(rCandidateA.getB2DPoint(0L)); + + for(sal_uInt32 a(0L); a < nEdgeCountA; a++) + { + const B2DPoint aNextA(rCandidateA.getB2DPoint(a + 1L)); + const B2DRange aRangeA(aCurrA, aNextA); + B2DPoint aCurrB(rCandidateB.getB2DPoint(0L)); + + for(sal_uInt32 b(0L); b < nEdgeCountB; b++) + { + const B2DPoint aNextB(rCandidateB.getB2DPoint(b + 1L)); + 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 + if(fTools::equalZero(fCutA)) + { + // ignore for start point in first edge; this is handled + // by outer methods and would just produce a double point + if(a) + { + rTempPointsA.push_back(temporaryPoint(aCurrA, a, 0.0)); + } + } + else + { + const B2DPoint aCutPoint(interpolate(aCurrA, aNextA, fCutA)); + rTempPointsA.push_back(temporaryPoint(aCutPoint, a, fCutA)); + } + + if(fTools::equalZero(fCutB)) + { + // ignore for start point in first edge; this is handled + // by outer methods and would just produce a double point + if(b) + { + rTempPointsB.push_back(temporaryPoint(aCurrB, b, 0.0)); + } + } + else + { + const B2DPoint aCutPoint(interpolate(aCurrB, aNextB, fCutB)); + rTempPointsB.push_back(temporaryPoint(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.size()) + { + // adapt tempVector entries to segment + adaptAndTransferCutsWithBezierSegment(aTempPointVectorA, aTempPolygonA, nIndA, rTempPointsA); + } + + // append remapped tempVector entries for edge to tempPoints for edge + for(sal_uInt32 a(0L); a < aTempPointVectorEdge.size(); a++) + { + const temporaryPoint& rTempPoint = aTempPointVectorEdge[a]; + rTempPointsB.push_back(temporaryPoint(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.size()) + { + // adapt tempVector entries to segment + adaptAndTransferCutsWithBezierSegment(aTempPointVectorA, aTempPolygonA, nIndA, rTempPointsA); + } + + if(aTempPointVectorB.size()) + { + // 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.size()) + { + // 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) + { + const sal_uInt32 nEdgeCount(rCandidate.isClosed() ? nPointCount : nPointCount - 1L); + + if(nEdgeCount) + { + const bool bCurvesInvolved(rCandidate.areControlPointsUsed()); + + if(bCurvesInvolved) + { + B2DCubicBezier aCubicA; + B2DCubicBezier aCubicB; + + for(sal_uInt32 a(0L); a < nEdgeCount - 1L; 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 + 1L); b < nEdgeCount; b++) + { + rCandidate.getBezierSegment(b, aCubicB); + aCubicB.testAndSolveTrivialBezier(); + const bool bEdgeBIsCurve(aCubicB.isBezier()); + 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) + { + 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(0L)); + + for(sal_uInt32 a(0L); a < nEdgeCount - 1L; a++) + { + const B2DPoint aNextA(rCandidate.getB2DPoint(a + 1L == nPointCount ? 0L : a + 1L)); + const B2DRange aRangeA(aCurrA, aNextA); + B2DPoint aCurrB(rCandidate.getB2DPoint(a + 1L)); + + for(sal_uInt32 b(a + 1L); b < nEdgeCount; b++) + { + const B2DPoint aNextB(rCandidate.getB2DPoint(b + 1L == nPointCount ? 0L : b + 1L)); + 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) + { + const B2DRange aRange(rCurr, rNext); + const B2DVector aEdgeVector(rNext - rCurr); + B2DVector aNormalizedEdgeVector(aEdgeVector); + aNormalizedEdgeVector.normalize(); + bool bTestUsingX(fabs(aEdgeVector.getX()) > fabs(aEdgeVector.getY())); + + for(sal_uInt32 a(0L); 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(aNormalizedEdgeVector, 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.push_back(temporaryPoint(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.size()) + { + // 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) + { + const sal_uInt32 nEdgeCount(rEdgePolygon.isClosed() ? nEdgePointCount : nEdgePointCount - 1L); + B2DPoint aCurr(rEdgePolygon.getB2DPoint(0)); + + for(sal_uInt32 a(0L); 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) + { + const sal_uInt32 nEdgeCountA(rCandidateA.isClosed() ? nPointCountA : nPointCountA - 1L); + const sal_uInt32 nEdgeCountB(rCandidateB.isClosed() ? nPointCountB : nPointCountB - 1L); + + if(nEdgeCountA && nEdgeCountB) + { + const bool bCurvesInvolved(rCandidateA.areControlPointsUsed() || rCandidateB.areControlPointsUsed()); + + if(bCurvesInvolved) + { + B2DCubicBezier aCubicA; + B2DCubicBezier aCubicB; + + for(sal_uInt32 a(0L); a < nEdgeCountA; a++) + { + rCandidateA.getBezierSegment(a, aCubicA); + aCubicA.testAndSolveTrivialBezier(); + const bool bEdgeAIsCurve(aCubicA.isBezier()); + const B2DRange aRangeA(aCubicA.getRange()); + + for(sal_uInt32 b(0L); b < nEdgeCountB; b++) + { + rCandidateB.getBezierSegment(b, aCubicB); + aCubicB.testAndSolveTrivialBezier(); + const bool bEdgeBIsCurve(aCubicB.isBezier()); + 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) + { + 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(0L)); + + for(sal_uInt32 a(0L); a < nEdgeCountA; a++) + { + const B2DPoint aNextA(rCandidateA.getB2DPoint(a + 1L == nPointCountA ? 0L : a + 1L)); + const B2DRange aRangeA(aCurrA, aNextA); + B2DPoint aCurrB(rCandidateB.getB2DPoint(0L)); + + for(sal_uInt32 b(0L); b < nEdgeCountB; b++) + { + const B2DPoint aNextB(rCandidateB.getB2DPoint(b + 1L == nPointCountB ? 0L : b + 1L)); + 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 +{ + namespace tools + { + //////////////////////////////////////////////////////////////////////////////// + + 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, bool bSelfIntersections) + { + const sal_uInt32 nCount(rCandidate.count()); + + if(nCount) + { + B2DPolyPolygon aRetval; + + if(1L == nCount) + { + if(bSelfIntersections) + { + // remove self intersections + aRetval.append(addPointsAtCutsAndTouches(rCandidate.getB2DPolygon(0L))); + } + else + { + // copy source + aRetval = rCandidate; + } + } + else + { + // first solve self cuts and self touches for all contained single polygons + temporaryPolygonData *pTempData = new temporaryPolygonData[nCount]; + sal_uInt32 a, b; + + for(a = 0L; a < nCount; a++) + { + if(bSelfIntersections) + { + // use polygons with solved self intersections + pTempData[a].setPolygon(addPointsAtCutsAndTouches(rCandidate.getB2DPolygon(a))); + } + else + { + // copy given polygons + pTempData[a].setPolygon(rCandidate.getB2DPolygon(a)); + } + } + + // now cuts and touches between the polygons + for(a = 0L; a < nCount; a++) + { + for(b = 0L; 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 = 0L; a < nCount; a++) + { + aRetval.append(mergeTemporaryPointsAndPolygon(pTempData[a].getPolygon(), pTempData[a].getTemporaryPointVector())); + } + + delete[] pTempData; + } + + return aRetval; + } + else + { + return rCandidate; + } + } + + //////////////////////////////////////////////////////////////////////////////// + + B2DPolygon addPointsAtCutsAndTouches(const B2DPolyPolygon& rMask, const B2DPolygon& rCandidate) + { + if(rCandidate.count()) + { + temporaryPointVector aTempPoints; + temporaryPointVector aTempPointsUnused; + + for(sal_uInt32 a(0L); a < rMask.count(); a++) + { + const B2DPolygon aPartMask(rMask.getB2DPolygon(a)); + + findTouches(rCandidate, aPartMask, aTempPoints); + findCuts(rCandidate, aPartMask, aTempPoints, aTempPointsUnused); + } + + return mergeTemporaryPointsAndPolygon(rCandidate, aTempPoints); + } + else + { + return rCandidate; + } + } + + //////////////////////////////////////////////////////////////////////////////// + + B2DPolyPolygon addPointsAtCutsAndTouches(const B2DPolyPolygon& rMask, const B2DPolyPolygon& rCandidate) + { + B2DPolyPolygon aRetval; + + for(sal_uInt32 a(0L); a < rCandidate.count(); a++) + { + aRetval.append(addPointsAtCutsAndTouches(rMask, rCandidate.getB2DPolygon(a))); + } + + return aRetval; + } + + //////////////////////////////////////////////////////////////////////////////// + + 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; + } + + B2DPolyPolygon addPointsAtCuts(const B2DPolyPolygon& rCandidate, const B2DPoint& rStart, const B2DPoint& rEnd) + { + B2DPolyPolygon aRetval; + + for(sal_uInt32 a(0); a < rCandidate.count(); a++) + { + aRetval.append(addPointsAtCuts(rCandidate.getB2DPolygon(a), rStart, rEnd)); + } + + return aRetval; + } + + //////////////////////////////////////////////////////////////////////////////// + + 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; + } + + B2DPolyPolygon addPointsAtCuts(const B2DPolyPolygon& rCandidate, const B2DPolyPolygon& rMask) + { + B2DPolyPolygon aRetval; + + for(sal_uInt32 a(0); a < rCandidate.count(); a++) + { + aRetval.append(addPointsAtCuts(rCandidate.getB2DPolygon(a), rMask)); + } + + return aRetval; + } + + //////////////////////////////////////////////////////////////////////////////// + + } // end of namespace tools +} // end of namespace basegfx + +////////////////////////////////////////////////////////////////////////////// +// eof diff --git a/basegfx/source/polygon/b2dpolygontools.cxx b/basegfx/source/polygon/b2dpolygontools.cxx new file mode 100644 index 000000000000..28e5bb1f430d --- /dev/null +++ b/basegfx/source/polygon/b2dpolygontools.cxx @@ -0,0 +1,3594 @@ +/************************************************************************* + * + * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER. + * + * Copyright 2000, 2010 Oracle and/or its affiliates. + * + * OpenOffice.org - a multi-platform office productivity suite + * + * This file is part of OpenOffice.org. + * + * OpenOffice.org is free software: you can redistribute it and/or modify + * it under the terms of the GNU Lesser General Public License version 3 + * only, as published by the Free Software Foundation. + * + * OpenOffice.org is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU Lesser General Public License version 3 for more details + * (a copy is included in the LICENSE file that accompanied this code). + * + * You should have received a copy of the GNU Lesser General Public License + * version 3 along with OpenOffice.org. If not, see + * <http://www.openoffice.org/license.html> + * for a copy of the LGPLv3 License. + * + ************************************************************************/ + +// MARKER(update_precomp.py): autogen include statement, do not remove +#include "precompiled_basegfx.hxx" +#include <basegfx/numeric/ftools.hxx> +#include <basegfx/polygon/b2dpolygontools.hxx> +#include <osl/diagnose.h> +#include <rtl/math.hxx> +#include <basegfx/polygon/b2dpolygon.hxx> +#include <basegfx/polygon/b2dpolypolygon.hxx> +#include <basegfx/range/b2drange.hxx> +#include <basegfx/curve/b2dcubicbezier.hxx> +#include <basegfx/polygon/b2dpolypolygoncutter.hxx> +#include <basegfx/point/b3dpoint.hxx> +#include <basegfx/matrix/b3dhommatrix.hxx> +#include <basegfx/matrix/b2dhommatrix.hxx> +#include <basegfx/curve/b2dbeziertools.hxx> +#include <basegfx/matrix/b2dhommatrixtools.hxx> +#include <osl/mutex.hxx> + +#include <numeric> +#include <limits> + +// #i37443# +#define ANGLE_BOUND_START_VALUE (2.25) +#define ANGLE_BOUND_MINIMUM_VALUE (0.1) +#define COUNT_SUBDIVIDE_DEFAULT (4L) +#ifdef DBG_UTIL +static double fAngleBoundStartValue = ANGLE_BOUND_START_VALUE; +#endif +#define STEPSPERQUARTER (3) + +////////////////////////////////////////////////////////////////////////////// + +namespace basegfx +{ + namespace tools + { + void openWithGeometryChange(B2DPolygon& rCandidate) + { + if(rCandidate.isClosed()) + { + if(rCandidate.count()) + { + rCandidate.append(rCandidate.getB2DPoint(0)); + + if(rCandidate.areControlPointsUsed() && rCandidate.isPrevControlPointUsed(0)) + { + rCandidate.setPrevControlPoint(rCandidate.count() - 1, rCandidate.getPrevControlPoint(0)); + rCandidate.resetPrevControlPoint(0); + } + } + + rCandidate.setClosed(false); + } + } + + void closeWithGeometryChange(B2DPolygon& rCandidate) + { + if(!rCandidate.isClosed()) + { + while(rCandidate.count() > 1 && rCandidate.getB2DPoint(0) == rCandidate.getB2DPoint(rCandidate.count() - 1)) + { + if(rCandidate.areControlPointsUsed() && rCandidate.isPrevControlPointUsed(rCandidate.count() - 1)) + { + rCandidate.setPrevControlPoint(0, rCandidate.getPrevControlPoint(rCandidate.count() - 1)); + } + + rCandidate.remove(rCandidate.count() - 1); + } + + rCandidate.setClosed(true); + } + } + + void checkClosed(B2DPolygon& rCandidate) + { + // #i80172# Removed unnecessary assertion + // OSL_ENSURE(!rCandidate.isClosed(), "checkClosed: already closed (!)"); + + if(rCandidate.count() > 1 && rCandidate.getB2DPoint(0) == rCandidate.getB2DPoint(rCandidate.count() - 1)) + { + closeWithGeometryChange(rCandidate); + } + } + + // Get successor and predecessor indices. Returning the same index means there + // is none. Same for successor. + sal_uInt32 getIndexOfPredecessor(sal_uInt32 nIndex, const B2DPolygon& rCandidate) + { + OSL_ENSURE(nIndex < rCandidate.count(), "getIndexOfPredecessor: Access to polygon out of range (!)"); + + if(nIndex) + { + return nIndex - 1L; + } + else if(rCandidate.count()) + { + return rCandidate.count() - 1L; + } + else + { + return nIndex; + } + } + + sal_uInt32 getIndexOfSuccessor(sal_uInt32 nIndex, const B2DPolygon& rCandidate) + { + OSL_ENSURE(nIndex < rCandidate.count(), "getIndexOfPredecessor: Access to polygon out of range (!)"); + + if(nIndex + 1L < rCandidate.count()) + { + return nIndex + 1L; + } + else if(nIndex + 1L == rCandidate.count()) + { + return 0L; + } + else + { + return nIndex; + } + } + + B2VectorOrientation getOrientation(const B2DPolygon& rCandidate) + { + B2VectorOrientation eRetval(ORIENTATION_NEUTRAL); + + if(rCandidate.count() > 2L || rCandidate.areControlPointsUsed()) + { + const double fSignedArea(getSignedArea(rCandidate)); + + if(fTools::equalZero(fSignedArea)) + { + // ORIENTATION_NEUTRAL, already set + } + if(fSignedArea > 0.0) + { + eRetval = ORIENTATION_POSITIVE; + } + else if(fSignedArea < 0.0) + { + eRetval = ORIENTATION_NEGATIVE; + } + } + + return eRetval; + } + + B2VectorContinuity getContinuityInPoint(const B2DPolygon& rCandidate, sal_uInt32 nIndex) + { + return rCandidate.getContinuityInPoint(nIndex); + } + + B2DPolygon adaptiveSubdivideByDistance(const B2DPolygon& rCandidate, double fDistanceBound) + { + if(rCandidate.areControlPointsUsed()) + { + const sal_uInt32 nPointCount(rCandidate.count()); + B2DPolygon aRetval; + + if(nPointCount) + { + // prepare edge-oriented loop + const sal_uInt32 nEdgeCount(rCandidate.isClosed() ? nPointCount : nPointCount - 1); + B2DCubicBezier aBezier; + aBezier.setStartPoint(rCandidate.getB2DPoint(0)); + + // perf: try to avoid too many realloctions by guessing the result's pointcount + aRetval.reserve(nPointCount*4); + + // add start point (always) + aRetval.append(aBezier.getStartPoint()); + + for(sal_uInt32 a(0L); a < nEdgeCount; a++) + { + // get next and control points + const sal_uInt32 nNextIndex((a + 1) % nPointCount); + aBezier.setEndPoint(rCandidate.getB2DPoint(nNextIndex)); + aBezier.setControlPointA(rCandidate.getNextControlPoint(a)); + aBezier.setControlPointB(rCandidate.getPrevControlPoint(nNextIndex)); + aBezier.testAndSolveTrivialBezier(); + + if(aBezier.isBezier()) + { + // add curved edge and generate DistanceBound + double fBound(0.0); + + if(0.0 == fDistanceBound) + { + // If not set, use B2DCubicBezier functionality to guess a rough value + const double fRoughLength((aBezier.getEdgeLength() + aBezier.getControlPolygonLength()) / 2.0); + + // take 1/100th of the rough curve length + fBound = fRoughLength * 0.01; + } + else + { + // use given bound value + fBound = fDistanceBound; + } + + // make sure bound value is not too small. The base units are 1/100th mm, thus + // just make sure it's not smaller then 1/100th of that + if(fBound < 0.01) + { + fBound = 0.01; + } + + // call adaptive subdivide which adds edges to aRetval accordingly + aBezier.adaptiveSubdivideByDistance(aRetval, fBound); + } + else + { + // add non-curved edge + aRetval.append(aBezier.getEndPoint()); + } + + // prepare next step + aBezier.setStartPoint(aBezier.getEndPoint()); + } + + if(rCandidate.isClosed()) + { + // set closed flag and correct last point (which is added double now). + closeWithGeometryChange(aRetval); + } + } + + return aRetval; + } + else + { + return rCandidate; + } + } + + B2DPolygon adaptiveSubdivideByAngle(const B2DPolygon& rCandidate, double fAngleBound) + { + if(rCandidate.areControlPointsUsed()) + { + const sal_uInt32 nPointCount(rCandidate.count()); + B2DPolygon aRetval; + + if(nPointCount) + { + // prepare edge-oriented loop + const sal_uInt32 nEdgeCount(rCandidate.isClosed() ? nPointCount : nPointCount - 1); + B2DCubicBezier aBezier; + aBezier.setStartPoint(rCandidate.getB2DPoint(0)); + + // perf: try to avoid too many realloctions by guessing the result's pointcount + aRetval.reserve(nPointCount*4); + + // add start point (always) + aRetval.append(aBezier.getStartPoint()); + + // #i37443# prepare convenient AngleBound if none was given + if(0.0 == fAngleBound) + { +#ifdef DBG_UTIL + fAngleBound = fAngleBoundStartValue; +#else + fAngleBound = ANGLE_BOUND_START_VALUE; +#endif + } + else if(fTools::less(fAngleBound, ANGLE_BOUND_MINIMUM_VALUE)) + { + fAngleBound = 0.1; + } + + for(sal_uInt32 a(0L); a < nEdgeCount; a++) + { + // get next and control points + const sal_uInt32 nNextIndex((a + 1) % nPointCount); + aBezier.setEndPoint(rCandidate.getB2DPoint(nNextIndex)); + aBezier.setControlPointA(rCandidate.getNextControlPoint(a)); + aBezier.setControlPointB(rCandidate.getPrevControlPoint(nNextIndex)); + aBezier.testAndSolveTrivialBezier(); + + if(aBezier.isBezier()) + { + // call adaptive subdivide + aBezier.adaptiveSubdivideByAngle(aRetval, fAngleBound, true); + } + else + { + // add non-curved edge + aRetval.append(aBezier.getEndPoint()); + } + + // prepare next step + aBezier.setStartPoint(aBezier.getEndPoint()); + } + + if(rCandidate.isClosed()) + { + // set closed flag and correct last point (which is added double now). + closeWithGeometryChange(aRetval); + } + } + + return aRetval; + } + else + { + return rCandidate; + } + } + + B2DPolygon adaptiveSubdivideByCount(const B2DPolygon& rCandidate, sal_uInt32 nCount) + { + if(rCandidate.areControlPointsUsed()) + { + const sal_uInt32 nPointCount(rCandidate.count()); + B2DPolygon aRetval; + + if(nPointCount) + { + // prepare edge-oriented loop + const sal_uInt32 nEdgeCount(rCandidate.isClosed() ? nPointCount : nPointCount - 1); + B2DCubicBezier aBezier; + aBezier.setStartPoint(rCandidate.getB2DPoint(0)); + + // perf: try to avoid too many realloctions by guessing the result's pointcount + aRetval.reserve(nPointCount*4); + + // add start point (always) + aRetval.append(aBezier.getStartPoint()); + + // #i37443# prepare convenient count if none was given + if(0L == nCount) + { + nCount = COUNT_SUBDIVIDE_DEFAULT; + } + + for(sal_uInt32 a(0L); a < nEdgeCount; a++) + { + // get next and control points + const sal_uInt32 nNextIndex((a + 1) % nPointCount); + aBezier.setEndPoint(rCandidate.getB2DPoint(nNextIndex)); + aBezier.setControlPointA(rCandidate.getNextControlPoint(a)); + aBezier.setControlPointB(rCandidate.getPrevControlPoint(nNextIndex)); + aBezier.testAndSolveTrivialBezier(); + + if(aBezier.isBezier()) + { + // call adaptive subdivide + aBezier.adaptiveSubdivideByCount(aRetval, nCount); + } + else + { + // add non-curved edge + aRetval.append(aBezier.getEndPoint()); + } + + // prepare next step + aBezier.setStartPoint(aBezier.getEndPoint()); + } + + if(rCandidate.isClosed()) + { + // set closed flag and correct last point (which is added double now). + closeWithGeometryChange(aRetval); + } + } + + return aRetval; + } + else + { + return rCandidate; + } + } + + bool isInside(const B2DPolygon& rCandidate, const B2DPoint& rPoint, bool bWithBorder) + { + const B2DPolygon aCandidate(rCandidate.areControlPointsUsed() ? rCandidate.getDefaultAdaptiveSubdivision() : rCandidate); + + if(bWithBorder && isPointOnPolygon(aCandidate, rPoint, true)) + { + return true; + } + else + { + bool bRetval(false); + const sal_uInt32 nPointCount(aCandidate.count()); + + if(nPointCount) + { + B2DPoint aCurrentPoint(aCandidate.getB2DPoint(nPointCount - 1L)); + + for(sal_uInt32 a(0L); a < nPointCount; a++) + { + const B2DPoint aPreviousPoint(aCurrentPoint); + aCurrentPoint = aCandidate.getB2DPoint(a); + + // cross-over in Y? + const bool bCompYA(fTools::more(aPreviousPoint.getY(), rPoint.getY())); + const bool bCompYB(fTools::more(aCurrentPoint.getY(), rPoint.getY())); + + if(bCompYA != bCompYB) + { + // cross-over in X? + const bool bCompXA(fTools::more(aPreviousPoint.getX(), rPoint.getX())); + const bool bCompXB(fTools::more(aCurrentPoint.getX(), rPoint.getX())); + + if(bCompXA == bCompXB) + { + if(bCompXA) + { + bRetval = !bRetval; + } + } + else + { + const double fCompare( + aCurrentPoint.getX() - (aCurrentPoint.getY() - rPoint.getY()) * + (aPreviousPoint.getX() - aCurrentPoint.getX()) / + (aPreviousPoint.getY() - aCurrentPoint.getY())); + + if(fTools::more(fCompare, rPoint.getX())) + { + bRetval = !bRetval; + } + } + } + } + } + + return bRetval; + } + } + + bool isInside(const B2DPolygon& rCandidate, const B2DPolygon& rPolygon, bool bWithBorder) + { + const B2DPolygon aCandidate(rCandidate.areControlPointsUsed() ? rCandidate.getDefaultAdaptiveSubdivision() : rCandidate); + const B2DPolygon aPolygon(rPolygon.areControlPointsUsed() ? rPolygon.getDefaultAdaptiveSubdivision() : rPolygon); + const sal_uInt32 nPointCount(aPolygon.count()); + + for(sal_uInt32 a(0L); a < nPointCount; a++) + { + const B2DPoint aTestPoint(aPolygon.getB2DPoint(a)); + + if(!isInside(aCandidate, aTestPoint, bWithBorder)) + { + return false; + } + } + + return true; + } + + B2DRange getRangeWithControlPoints(const B2DPolygon& rCandidate) + { + const sal_uInt32 nPointCount(rCandidate.count()); + B2DRange aRetval; + + if(nPointCount) + { + const bool bControlPointsUsed(rCandidate.areControlPointsUsed()); + + for(sal_uInt32 a(0); a < nPointCount; a++) + { + aRetval.expand(rCandidate.getB2DPoint(a)); + + if(bControlPointsUsed) + { + aRetval.expand(rCandidate.getNextControlPoint(a)); + aRetval.expand(rCandidate.getPrevControlPoint(a)); + } + } + } + + return aRetval; + } + + B2DRange getRange(const B2DPolygon& rCandidate) + { + // changed to use internally buffered version at B2DPolygon + return rCandidate.getB2DRange(); + } + + double getSignedArea(const B2DPolygon& rCandidate) + { + const B2DPolygon aCandidate(rCandidate.areControlPointsUsed() ? rCandidate.getDefaultAdaptiveSubdivision() : rCandidate); + double fRetval(0.0); + const sal_uInt32 nPointCount(aCandidate.count()); + + if(nPointCount > 2) + { + for(sal_uInt32 a(0L); a < nPointCount; a++) + { + const B2DPoint aPreviousPoint(aCandidate.getB2DPoint((!a) ? nPointCount - 1L : a - 1L)); + const B2DPoint aCurrentPoint(aCandidate.getB2DPoint(a)); + + fRetval += aPreviousPoint.getX() * aCurrentPoint.getY(); + fRetval -= aPreviousPoint.getY() * aCurrentPoint.getX(); + } + + fRetval /= 2.0; + + // correct to zero if small enough. Also test the quadratic + // of the result since the precision is near quadratic due to + // the algorithm + if(fTools::equalZero(fRetval) || fTools::equalZero(fRetval * fRetval)) + { + fRetval = 0.0; + } + } + + return fRetval; + } + + double getArea(const B2DPolygon& rCandidate) + { + double fRetval(0.0); + + if(rCandidate.count() > 2 || rCandidate.areControlPointsUsed()) + { + fRetval = getSignedArea(rCandidate); + const double fZero(0.0); + + if(fTools::less(fRetval, fZero)) + { + fRetval = -fRetval; + } + } + + return fRetval; + } + + double getEdgeLength(const B2DPolygon& rCandidate, sal_uInt32 nIndex) + { + const sal_uInt32 nPointCount(rCandidate.count()); + OSL_ENSURE(nIndex < nPointCount, "getEdgeLength: Access to polygon out of range (!)"); + double fRetval(0.0); + + if(nPointCount) + { + const sal_uInt32 nNextIndex((nIndex + 1) % nPointCount); + + if(rCandidate.areControlPointsUsed()) + { + B2DCubicBezier aEdge; + + aEdge.setStartPoint(rCandidate.getB2DPoint(nIndex)); + aEdge.setControlPointA(rCandidate.getNextControlPoint(nIndex)); + aEdge.setControlPointB(rCandidate.getPrevControlPoint(nNextIndex)); + aEdge.setEndPoint(rCandidate.getB2DPoint(nNextIndex)); + + fRetval = aEdge.getLength(); + } + else + { + const B2DPoint aCurrent(rCandidate.getB2DPoint(nIndex)); + const B2DPoint aNext(rCandidate.getB2DPoint(nNextIndex)); + + fRetval = B2DVector(aNext - aCurrent).getLength(); + } + } + + return fRetval; + } + + double getLength(const B2DPolygon& rCandidate) + { + double fRetval(0.0); + const sal_uInt32 nPointCount(rCandidate.count()); + + if(nPointCount) + { + const sal_uInt32 nEdgeCount(rCandidate.isClosed() ? nPointCount : nPointCount - 1L); + + if(rCandidate.areControlPointsUsed()) + { + B2DCubicBezier aEdge; + aEdge.setStartPoint(rCandidate.getB2DPoint(0)); + + for(sal_uInt32 a(0); a < nEdgeCount; a++) + { + const sal_uInt32 nNextIndex((a + 1) % nPointCount); + aEdge.setControlPointA(rCandidate.getNextControlPoint(a)); + aEdge.setControlPointB(rCandidate.getPrevControlPoint(nNextIndex)); + aEdge.setEndPoint(rCandidate.getB2DPoint(nNextIndex)); + + fRetval += aEdge.getLength(); + aEdge.setStartPoint(aEdge.getEndPoint()); + } + } + else + { + B2DPoint aCurrent(rCandidate.getB2DPoint(0)); + + for(sal_uInt32 a(0); a < nEdgeCount; a++) + { + const sal_uInt32 nNextIndex((a + 1) % nPointCount); + const B2DPoint aNext(rCandidate.getB2DPoint(nNextIndex)); + + fRetval += B2DVector(aNext - aCurrent).getLength(); + aCurrent = aNext; + } + } + } + + return fRetval; + } + + B2DPoint getPositionAbsolute(const B2DPolygon& rCandidate, double fDistance, double fLength) + { + B2DPoint aRetval; + const sal_uInt32 nPointCount(rCandidate.count()); + + if( 1L == nPointCount ) + { + // only one point (i.e. no edge) - simply take that point + aRetval = rCandidate.getB2DPoint(0); + } + else if(nPointCount > 1L) + { + const sal_uInt32 nEdgeCount(rCandidate.isClosed() ? nPointCount : nPointCount - 1); + sal_uInt32 nIndex(0L); + bool bIndexDone(false); + + // get length if not given + if(fTools::equalZero(fLength)) + { + fLength = getLength(rCandidate); + } + + if(fTools::less(fDistance, 0.0)) + { + // handle fDistance < 0.0 + if(rCandidate.isClosed()) + { + // if fDistance < 0.0 increment with multiple of fLength + sal_uInt32 nCount(sal_uInt32(-fDistance / fLength)); + fDistance += double(nCount + 1L) * fLength; + } + else + { + // crop to polygon start + fDistance = 0.0; + bIndexDone = true; + } + } + else if(fTools::moreOrEqual(fDistance, fLength)) + { + // handle fDistance >= fLength + if(rCandidate.isClosed()) + { + // if fDistance >= fLength decrement with multiple of fLength + sal_uInt32 nCount(sal_uInt32(fDistance / fLength)); + fDistance -= (double)(nCount) * fLength; + } + else + { + // crop to polygon end + fDistance = 0.0; + nIndex = nEdgeCount; + bIndexDone = true; + } + } + + // look for correct index. fDistance is now [0.0 .. fLength[ + double fEdgeLength(getEdgeLength(rCandidate, nIndex)); + + while(!bIndexDone) + { + // edge found must be on the half-open range + // [0,fEdgeLength). + // Note that in theory, we cannot move beyond + // the last polygon point, since fDistance>=fLength + // is checked above. Unfortunately, with floating- + // point calculations, this case might happen. + // Handled by nIndex check below + if(nIndex < nEdgeCount && fTools::moreOrEqual(fDistance, fEdgeLength)) + { + // go to next edge + fDistance -= fEdgeLength; + fEdgeLength = getEdgeLength(rCandidate, ++nIndex); + } + else + { + // it's on this edge, stop + bIndexDone = true; + } + } + + // get the point using nIndex + aRetval = rCandidate.getB2DPoint(nIndex); + + // if fDistance != 0.0, move that length on the edge. The edge + // length is in fEdgeLength. + if(!fTools::equalZero(fDistance)) + { + if(fTools::moreOrEqual(fDistance, fEdgeLength)) + { + // end point of choosen edge + const sal_uInt32 nNextIndex((nIndex + 1) % nPointCount); + aRetval = rCandidate.getB2DPoint(nNextIndex); + } + else if(fTools::equalZero(fDistance)) + { + // start point of choosen edge + aRetval = aRetval; + } + else + { + // inside edge + const sal_uInt32 nNextIndex((nIndex + 1) % nPointCount); + const B2DPoint aNextPoint(rCandidate.getB2DPoint(nNextIndex)); + bool bDone(false); + + // add calculated average value to the return value + if(rCandidate.areControlPointsUsed()) + { + // get as bezier segment + const B2DCubicBezier aBezierSegment( + aRetval, rCandidate.getNextControlPoint(nIndex), + rCandidate.getPrevControlPoint(nNextIndex), aNextPoint); + + if(aBezierSegment.isBezier()) + { + // use B2DCubicBezierHelper to bridge the non-linear gap between + // length and bezier distances + const B2DCubicBezierHelper aBezierSegmentHelper(aBezierSegment); + const double fBezierDistance(aBezierSegmentHelper.distanceToRelative(fDistance)); + + aRetval = aBezierSegment.interpolatePoint(fBezierDistance); + bDone = true; + } + } + + if(!bDone) + { + const double fRelativeInEdge(fDistance / fEdgeLength); + aRetval = interpolate(aRetval, aNextPoint, fRelativeInEdge); + } + } + } + } + + return aRetval; + } + + B2DPoint getPositionRelative(const B2DPolygon& rCandidate, double fDistance, double fLength) + { + // get length if not given + if(fTools::equalZero(fLength)) + { + fLength = getLength(rCandidate); + } + + // multiply fDistance with real length to get absolute position and + // use getPositionAbsolute + return getPositionAbsolute(rCandidate, fDistance * fLength, fLength); + } + + B2DPolygon getSnippetAbsolute(const B2DPolygon& rCandidate, double fFrom, double fTo, double fLength) + { + const sal_uInt32 nPointCount(rCandidate.count()); + + if(nPointCount) + { + // get length if not given + if(fTools::equalZero(fLength)) + { + fLength = getLength(rCandidate); + } + + // test and correct fFrom + if(fTools::less(fFrom, 0.0)) + { + fFrom = 0.0; + } + + // test and correct fTo + if(fTools::more(fTo, fLength)) + { + fTo = fLength; + } + + // test and correct relationship of fFrom, fTo + if(fTools::more(fFrom, fTo)) + { + fFrom = fTo = (fFrom + fTo) / 2.0; + } + + if(fTools::equalZero(fFrom) && fTools::equal(fTo, fLength)) + { + // no change, result is the whole polygon + return rCandidate; + } + else + { + B2DPolygon aRetval; + const sal_uInt32 nEdgeCount(rCandidate.isClosed() ? nPointCount : nPointCount - 1); + double fPositionOfStart(0.0); + bool bStartDone(false); + bool bEndDone(false); + + for(sal_uInt32 a(0L); !(bStartDone && bEndDone) && a < nEdgeCount; a++) + { + const double fEdgeLength(getEdgeLength(rCandidate, a)); + + if(!bStartDone) + { + if(fTools::equalZero(fFrom)) + { + aRetval.append(rCandidate.getB2DPoint(a)); + + if(rCandidate.areControlPointsUsed()) + { + aRetval.setNextControlPoint(aRetval.count() - 1, rCandidate.getNextControlPoint(a)); + } + + bStartDone = true; + } + else if(fTools::moreOrEqual(fFrom, fPositionOfStart) && fTools::less(fFrom, fPositionOfStart + fEdgeLength)) + { + // calculate and add start point + if(fTools::equalZero(fEdgeLength)) + { + aRetval.append(rCandidate.getB2DPoint(a)); + + if(rCandidate.areControlPointsUsed()) + { + aRetval.setNextControlPoint(aRetval.count() - 1, rCandidate.getNextControlPoint(a)); + } + } + else + { + const sal_uInt32 nNextIndex((a + 1) % nPointCount); + const B2DPoint aStart(rCandidate.getB2DPoint(a)); + const B2DPoint aEnd(rCandidate.getB2DPoint(nNextIndex)); + bool bDone(false); + + if(rCandidate.areControlPointsUsed()) + { + const B2DCubicBezier aBezierSegment( + aStart, rCandidate.getNextControlPoint(a), + rCandidate.getPrevControlPoint(nNextIndex), aEnd); + + if(aBezierSegment.isBezier()) + { + // use B2DCubicBezierHelper to bridge the non-linear gap between + // length and bezier distances + const B2DCubicBezierHelper aBezierSegmentHelper(aBezierSegment); + const double fBezierDistance(aBezierSegmentHelper.distanceToRelative(fFrom - fPositionOfStart)); + B2DCubicBezier aRight; + + aBezierSegment.split(fBezierDistance, 0, &aRight); + aRetval.append(aRight.getStartPoint()); + aRetval.setNextControlPoint(aRetval.count() - 1, aRight.getControlPointA()); + bDone = true; + } + } + + if(!bDone) + { + const double fRelValue((fFrom - fPositionOfStart) / fEdgeLength); + aRetval.append(interpolate(aStart, aEnd, fRelValue)); + } + } + + bStartDone = true; + + // if same point, end is done, too. + if(fFrom == fTo) + { + bEndDone = true; + } + } + } + + if(!bEndDone && fTools::moreOrEqual(fTo, fPositionOfStart) && fTools::less(fTo, fPositionOfStart + fEdgeLength)) + { + // calculate and add end point + if(fTools::equalZero(fEdgeLength)) + { + const sal_uInt32 nNextIndex((a + 1) % nPointCount); + aRetval.append(rCandidate.getB2DPoint(nNextIndex)); + + if(rCandidate.areControlPointsUsed()) + { + aRetval.setPrevControlPoint(aRetval.count() - 1, rCandidate.getPrevControlPoint(nNextIndex)); + } + } + else + { + const sal_uInt32 nNextIndex((a + 1) % nPointCount); + const B2DPoint aStart(rCandidate.getB2DPoint(a)); + const B2DPoint aEnd(rCandidate.getB2DPoint(nNextIndex)); + bool bDone(false); + + if(rCandidate.areControlPointsUsed()) + { + const B2DCubicBezier aBezierSegment( + aStart, rCandidate.getNextControlPoint(a), + rCandidate.getPrevControlPoint(nNextIndex), aEnd); + + if(aBezierSegment.isBezier()) + { + // use B2DCubicBezierHelper to bridge the non-linear gap between + // length and bezier distances + const B2DCubicBezierHelper aBezierSegmentHelper(aBezierSegment); + const double fBezierDistance(aBezierSegmentHelper.distanceToRelative(fTo - fPositionOfStart)); + B2DCubicBezier aLeft; + + aBezierSegment.split(fBezierDistance, &aLeft, 0); + aRetval.append(aLeft.getEndPoint()); + aRetval.setPrevControlPoint(aRetval.count() - 1, aLeft.getControlPointB()); + bDone = true; + } + } + + if(!bDone) + { + const double fRelValue((fTo - fPositionOfStart) / fEdgeLength); + aRetval.append(interpolate(aStart, aEnd, fRelValue)); + } + } + + bEndDone = true; + } + + if(!bEndDone) + { + if(bStartDone) + { + // add segments end point + const sal_uInt32 nNextIndex((a + 1) % nPointCount); + aRetval.append(rCandidate.getB2DPoint(nNextIndex)); + + if(rCandidate.areControlPointsUsed()) + { + aRetval.setPrevControlPoint(aRetval.count() - 1, rCandidate.getPrevControlPoint(nNextIndex)); + aRetval.setNextControlPoint(aRetval.count() - 1, rCandidate.getNextControlPoint(nNextIndex)); + } + } + + // increment fPositionOfStart + fPositionOfStart += fEdgeLength; + } + } + return aRetval; + } + } + else + { + return rCandidate; + } + } + + B2DPolygon getSnippetRelative(const B2DPolygon& rCandidate, double fFrom, double fTo, double fLength) + { + // get length if not given + if(fTools::equalZero(fLength)) + { + fLength = getLength(rCandidate); + } + + // multiply distances with real length to get absolute position and + // use getSnippetAbsolute + return getSnippetAbsolute(rCandidate, fFrom * fLength, fTo * fLength, fLength); + } + + CutFlagValue findCut( + const B2DPolygon& rCandidate, + sal_uInt32 nIndex1, sal_uInt32 nIndex2, + CutFlagValue aCutFlags, + double* pCut1, double* pCut2) + { + CutFlagValue aRetval(CUTFLAG_NONE); + const sal_uInt32 nPointCount(rCandidate.count()); + + if(nIndex1 < nPointCount && nIndex2 < nPointCount && nIndex1 != nIndex2) + { + sal_uInt32 nEnd1(getIndexOfSuccessor(nIndex1, rCandidate)); + sal_uInt32 nEnd2(getIndexOfSuccessor(nIndex2, rCandidate)); + + const B2DPoint aStart1(rCandidate.getB2DPoint(nIndex1)); + const B2DPoint aEnd1(rCandidate.getB2DPoint(nEnd1)); + const B2DVector aVector1(aEnd1 - aStart1); + + const B2DPoint aStart2(rCandidate.getB2DPoint(nIndex2)); + const B2DPoint aEnd2(rCandidate.getB2DPoint(nEnd2)); + const B2DVector aVector2(aEnd2 - aStart2); + + aRetval = findCut( + aStart1, aVector1, aStart2, aVector2, + aCutFlags, pCut1, pCut2); + } + + return aRetval; + } + + CutFlagValue findCut( + const B2DPolygon& rCandidate1, sal_uInt32 nIndex1, + const B2DPolygon& rCandidate2, sal_uInt32 nIndex2, + CutFlagValue aCutFlags, + double* pCut1, double* pCut2) + { + CutFlagValue aRetval(CUTFLAG_NONE); + const sal_uInt32 nPointCount1(rCandidate1.count()); + const sal_uInt32 nPointCount2(rCandidate2.count()); + + if(nIndex1 < nPointCount1 && nIndex2 < nPointCount2) + { + sal_uInt32 nEnd1(getIndexOfSuccessor(nIndex1, rCandidate1)); + sal_uInt32 nEnd2(getIndexOfSuccessor(nIndex2, rCandidate2)); + + const B2DPoint aStart1(rCandidate1.getB2DPoint(nIndex1)); + const B2DPoint aEnd1(rCandidate1.getB2DPoint(nEnd1)); + const B2DVector aVector1(aEnd1 - aStart1); + + const B2DPoint aStart2(rCandidate2.getB2DPoint(nIndex2)); + const B2DPoint aEnd2(rCandidate2.getB2DPoint(nEnd2)); + const B2DVector aVector2(aEnd2 - aStart2); + + aRetval = findCut( + aStart1, aVector1, aStart2, aVector2, + aCutFlags, pCut1, pCut2); + } + + return aRetval; + } + + CutFlagValue findCut( + const B2DPoint& rEdge1Start, const B2DVector& rEdge1Delta, + const B2DPoint& rEdge2Start, const B2DVector& rEdge2Delta, + CutFlagValue aCutFlags, + double* pCut1, double* pCut2) + { + CutFlagValue aRetval(CUTFLAG_NONE); + double fCut1(0.0); + double fCut2(0.0); + bool bFinished(!((bool)(aCutFlags & CUTFLAG_ALL))); + + // test for same points? + if(!bFinished + && (aCutFlags & (CUTFLAG_START1|CUTFLAG_END1)) + && (aCutFlags & (CUTFLAG_START2|CUTFLAG_END2))) + { + // same startpoint? + if(!bFinished && (aCutFlags & (CUTFLAG_START1|CUTFLAG_START2)) == (CUTFLAG_START1|CUTFLAG_START2)) + { + if(rEdge1Start.equal(rEdge2Start)) + { + bFinished = true; + aRetval = (CUTFLAG_START1|CUTFLAG_START2); + } + } + + // same endpoint? + if(!bFinished && (aCutFlags & (CUTFLAG_END1|CUTFLAG_END2)) == (CUTFLAG_END1|CUTFLAG_END2)) + { + const B2DPoint aEnd1(rEdge1Start + rEdge1Delta); + const B2DPoint aEnd2(rEdge2Start + rEdge2Delta); + + if(aEnd1.equal(aEnd2)) + { + bFinished = true; + aRetval = (CUTFLAG_END1|CUTFLAG_END2); + fCut1 = fCut2 = 1.0; + } + } + + // startpoint1 == endpoint2? + if(!bFinished && (aCutFlags & (CUTFLAG_START1|CUTFLAG_END2)) == (CUTFLAG_START1|CUTFLAG_END2)) + { + const B2DPoint aEnd2(rEdge2Start + rEdge2Delta); + + if(rEdge1Start.equal(aEnd2)) + { + bFinished = true; + aRetval = (CUTFLAG_START1|CUTFLAG_END2); + fCut1 = 0.0; + fCut2 = 1.0; + } + } + + // startpoint2 == endpoint1? + if(!bFinished&& (aCutFlags & (CUTFLAG_START2|CUTFLAG_END1)) == (CUTFLAG_START2|CUTFLAG_END1)) + { + const B2DPoint aEnd1(rEdge1Start + rEdge1Delta); + + if(rEdge2Start.equal(aEnd1)) + { + bFinished = true; + aRetval = (CUTFLAG_START2|CUTFLAG_END1); + fCut1 = 1.0; + fCut2 = 0.0; + } + } + } + + if(!bFinished && (aCutFlags & CUTFLAG_LINE)) + { + if(!bFinished && (aCutFlags & CUTFLAG_START1)) + { + // start1 on line 2 ? + if(isPointOnEdge(rEdge1Start, rEdge2Start, rEdge2Delta, &fCut2)) + { + bFinished = true; + aRetval = (CUTFLAG_LINE|CUTFLAG_START1); + } + } + + if(!bFinished && (aCutFlags & CUTFLAG_START2)) + { + // start2 on line 1 ? + if(isPointOnEdge(rEdge2Start, rEdge1Start, rEdge1Delta, &fCut1)) + { + bFinished = true; + aRetval = (CUTFLAG_LINE|CUTFLAG_START2); + } + } + + if(!bFinished && (aCutFlags & CUTFLAG_END1)) + { + // end1 on line 2 ? + const B2DPoint aEnd1(rEdge1Start + rEdge1Delta); + + if(isPointOnEdge(aEnd1, rEdge2Start, rEdge2Delta, &fCut2)) + { + bFinished = true; + aRetval = (CUTFLAG_LINE|CUTFLAG_END1); + } + } + + if(!bFinished && (aCutFlags & CUTFLAG_END2)) + { + // end2 on line 1 ? + const B2DPoint aEnd2(rEdge2Start + rEdge2Delta); + + if(isPointOnEdge(aEnd2, rEdge1Start, rEdge1Delta, &fCut1)) + { + bFinished = true; + aRetval = (CUTFLAG_LINE|CUTFLAG_END2); + } + } + + if(!bFinished) + { + // cut in line1, line2 ? + fCut1 = (rEdge1Delta.getX() * rEdge2Delta.getY()) - (rEdge1Delta.getY() * rEdge2Delta.getX()); + + if(!fTools::equalZero(fCut1)) + { + fCut1 = (rEdge2Delta.getY() * (rEdge2Start.getX() - rEdge1Start.getX()) + + rEdge2Delta.getX() * (rEdge1Start.getY() - rEdge2Start.getY())) / fCut1; + + const double fZero(0.0); + const double fOne(1.0); + + // inside parameter range edge1 AND fCut2 is calcable + if(fTools::more(fCut1, fZero) && fTools::less(fCut1, fOne) + && (!fTools::equalZero(rEdge2Delta.getX()) || !fTools::equalZero(rEdge2Delta.getY()))) + { + // take the mopre precise calculation of the two possible + if(fabs(rEdge2Delta.getX()) > fabs(rEdge2Delta.getY())) + { + fCut2 = (rEdge1Start.getX() + fCut1 + * rEdge1Delta.getX() - rEdge2Start.getX()) / rEdge2Delta.getX(); + } + else + { + fCut2 = (rEdge1Start.getY() + fCut1 + * rEdge1Delta.getY() - rEdge2Start.getY()) / rEdge2Delta.getY(); + } + + // inside parameter range edge2, too + if(fTools::more(fCut2, fZero) && fTools::less(fCut2, fOne)) + { + bFinished = true; + aRetval = CUTFLAG_LINE; + } + } + } + } + } + + // copy values if wanted + if(pCut1) + { + *pCut1 = fCut1; + } + + if(pCut2) + { + *pCut2 = fCut2; + } + + return aRetval; + } + + bool isPointOnEdge( + const B2DPoint& rPoint, + const B2DPoint& rEdgeStart, + const B2DVector& rEdgeDelta, + double* pCut) + { + bool bDeltaXIsZero(fTools::equalZero(rEdgeDelta.getX())); + bool bDeltaYIsZero(fTools::equalZero(rEdgeDelta.getY())); + const double fZero(0.0); + const double fOne(1.0); + + if(bDeltaXIsZero && bDeltaYIsZero) + { + // no line, just a point + return false; + } + else if(bDeltaXIsZero) + { + // vertical line + if(fTools::equal(rPoint.getX(), rEdgeStart.getX())) + { + double fValue = (rPoint.getY() - rEdgeStart.getY()) / rEdgeDelta.getY(); + + if(fTools::more(fValue, fZero) && fTools::less(fValue, fOne)) + { + if(pCut) + { + *pCut = fValue; + } + + return true; + } + } + } + else if(bDeltaYIsZero) + { + // horizontal line + if(fTools::equal(rPoint.getY(), rEdgeStart.getY())) + { + double fValue = (rPoint.getX() - rEdgeStart.getX()) / rEdgeDelta.getX(); + + if(fTools::more(fValue, fZero) && fTools::less(fValue, fOne)) + { + if(pCut) + { + *pCut = fValue; + } + + return true; + } + } + } + else + { + // any angle line + double fTOne = (rPoint.getX() - rEdgeStart.getX()) / rEdgeDelta.getX(); + double fTTwo = (rPoint.getY() - rEdgeStart.getY()) / rEdgeDelta.getY(); + + if(fTools::equal(fTOne, fTTwo)) + { + // same parameter representation, point is on line. Take + // middle value for better results + double fValue = (fTOne + fTTwo) / 2.0; + + if(fTools::more(fValue, fZero) && fTools::less(fValue, fOne)) + { + // point is inside line bounds, too + if(pCut) + { + *pCut = fValue; + } + + return true; + } + } + } + + return false; + } + + void applyLineDashing(const B2DPolygon& rCandidate, const ::std::vector<double>& rDotDashArray, B2DPolyPolygon* pLineTarget, B2DPolyPolygon* pGapTarget, double fDotDashLength) + { + const sal_uInt32 nPointCount(rCandidate.count()); + const sal_uInt32 nDotDashCount(rDotDashArray.size()); + + if(fTools::lessOrEqual(fDotDashLength, 0.0)) + { + fDotDashLength = ::std::accumulate(rDotDashArray.begin(), rDotDashArray.end(), 0.0); + } + + if(fTools::more(fDotDashLength, 0.0) && (pLineTarget || pGapTarget) && nPointCount) + { + // clear targets + if(pLineTarget) + { + pLineTarget->clear(); + } + + if(pGapTarget) + { + pGapTarget->clear(); + } + + // prepare current edge's start + B2DCubicBezier aCurrentEdge; + const sal_uInt32 nEdgeCount(rCandidate.isClosed() ? nPointCount : nPointCount - 1); + aCurrentEdge.setStartPoint(rCandidate.getB2DPoint(0)); + + // prepare DotDashArray iteration and the line/gap switching bool + sal_uInt32 nDotDashIndex(0); + bool bIsLine(true); + double fDotDashMovingLength(rDotDashArray[0]); + B2DPolygon aSnippet; + + // iterate over all edges + for(sal_uInt32 a(0); a < nEdgeCount; a++) + { + // update current edge (fill in C1, C2 and end point) + double fLastDotDashMovingLength(0.0); + const sal_uInt32 nNextIndex((a + 1) % nPointCount); + aCurrentEdge.setControlPointA(rCandidate.getNextControlPoint(a)); + aCurrentEdge.setControlPointB(rCandidate.getPrevControlPoint(nNextIndex)); + aCurrentEdge.setEndPoint(rCandidate.getB2DPoint(nNextIndex)); + + // check if we have a trivial bezier segment -> possible fallback to edge + aCurrentEdge.testAndSolveTrivialBezier(); + + if(aCurrentEdge.isBezier()) + { + // bezier segment + const B2DCubicBezierHelper aCubicBezierHelper(aCurrentEdge); + const double fEdgeLength(aCubicBezierHelper.getLength()); + + if(!fTools::equalZero(fEdgeLength)) + { + while(fTools::less(fDotDashMovingLength, fEdgeLength)) + { + // new split is inside edge, create and append snippet [fLastDotDashMovingLength, fDotDashMovingLength] + const bool bHandleLine(bIsLine && pLineTarget); + const bool bHandleGap(!bIsLine && pGapTarget); + + if(bHandleLine || bHandleGap) + { + const double fBezierSplitStart(aCubicBezierHelper.distanceToRelative(fLastDotDashMovingLength)); + const double fBezierSplitEnd(aCubicBezierHelper.distanceToRelative(fDotDashMovingLength)); + B2DCubicBezier aBezierSnippet(aCurrentEdge.snippet(fBezierSplitStart, fBezierSplitEnd)); + + if(!aSnippet.count()) + { + aSnippet.append(aBezierSnippet.getStartPoint()); + } + + aSnippet.appendBezierSegment(aBezierSnippet.getControlPointA(), aBezierSnippet.getControlPointB(), aBezierSnippet.getEndPoint()); + + if(bHandleLine) + { + pLineTarget->append(aSnippet); + } + else + { + pGapTarget->append(aSnippet); + } + + aSnippet.clear(); + } + + // prepare next DotDashArray step and flip line/gap flag + fLastDotDashMovingLength = fDotDashMovingLength; + fDotDashMovingLength += rDotDashArray[(++nDotDashIndex) % nDotDashCount]; + bIsLine = !bIsLine; + } + + // append closing snippet [fLastDotDashMovingLength, fEdgeLength] + const bool bHandleLine(bIsLine && pLineTarget); + const bool bHandleGap(!bIsLine && pGapTarget); + + if(bHandleLine || bHandleGap) + { + B2DCubicBezier aRight; + const double fBezierSplit(aCubicBezierHelper.distanceToRelative(fLastDotDashMovingLength)); + + aCurrentEdge.split(fBezierSplit, 0, &aRight); + + if(!aSnippet.count()) + { + aSnippet.append(aRight.getStartPoint()); + } + + aSnippet.appendBezierSegment(aRight.getControlPointA(), aRight.getControlPointB(), aRight.getEndPoint()); + } + + // prepare move to next edge + fDotDashMovingLength -= fEdgeLength; + } + } + else + { + // simple edge + const double fEdgeLength(aCurrentEdge.getEdgeLength()); + + if(!fTools::equalZero(fEdgeLength)) + { + while(fTools::less(fDotDashMovingLength, fEdgeLength)) + { + // new split is inside edge, create and append snippet [fLastDotDashMovingLength, fDotDashMovingLength] + const bool bHandleLine(bIsLine && pLineTarget); + const bool bHandleGap(!bIsLine && pGapTarget); + + if(bHandleLine || bHandleGap) + { + if(!aSnippet.count()) + { + aSnippet.append(interpolate(aCurrentEdge.getStartPoint(), aCurrentEdge.getEndPoint(), fLastDotDashMovingLength / fEdgeLength)); + } + + aSnippet.append(interpolate(aCurrentEdge.getStartPoint(), aCurrentEdge.getEndPoint(), fDotDashMovingLength / fEdgeLength)); + + if(bHandleLine) + { + pLineTarget->append(aSnippet); + } + else + { + pGapTarget->append(aSnippet); + } + + aSnippet.clear(); + } + + // prepare next DotDashArray step and flip line/gap flag + fLastDotDashMovingLength = fDotDashMovingLength; + fDotDashMovingLength += rDotDashArray[(++nDotDashIndex) % nDotDashCount]; + bIsLine = !bIsLine; + } + + // append snippet [fLastDotDashMovingLength, fEdgeLength] + const bool bHandleLine(bIsLine && pLineTarget); + const bool bHandleGap(!bIsLine && pGapTarget); + + if(bHandleLine || bHandleGap) + { + if(!aSnippet.count()) + { + aSnippet.append(interpolate(aCurrentEdge.getStartPoint(), aCurrentEdge.getEndPoint(), fLastDotDashMovingLength / fEdgeLength)); + } + + aSnippet.append(aCurrentEdge.getEndPoint()); + } + + // prepare move to next edge + fDotDashMovingLength -= fEdgeLength; + } + } + + // prepare next edge step (end point gets new start point) + aCurrentEdge.setStartPoint(aCurrentEdge.getEndPoint()); + } + + // append last intermediate results (if exists) + if(aSnippet.count()) + { + if(bIsLine && pLineTarget) + { + pLineTarget->append(aSnippet); + } + else if(!bIsLine && pGapTarget) + { + pGapTarget->append(aSnippet); + } + } + + // check if start and end polygon may be merged + if(pLineTarget) + { + const sal_uInt32 nCount(pLineTarget->count()); + + if(nCount > 1) + { + // these polygons were created above, there exists none with less than two points, + // thus dircet point access below is allowed + const B2DPolygon aFirst(pLineTarget->getB2DPolygon(0)); + B2DPolygon aLast(pLineTarget->getB2DPolygon(nCount - 1)); + + if(aFirst.getB2DPoint(0).equal(aLast.getB2DPoint(aLast.count() - 1))) + { + // start of first and end of last are the same -> merge them + aLast.append(aFirst); + aLast.removeDoublePoints(); + pLineTarget->setB2DPolygon(0, aLast); + pLineTarget->remove(nCount - 1); + } + } + } + + if(pGapTarget) + { + const sal_uInt32 nCount(pGapTarget->count()); + + if(nCount > 1) + { + // these polygons were created above, there exists none with less than two points, + // thus dircet point access below is allowed + const B2DPolygon aFirst(pGapTarget->getB2DPolygon(0)); + B2DPolygon aLast(pGapTarget->getB2DPolygon(nCount - 1)); + + if(aFirst.getB2DPoint(0).equal(aLast.getB2DPoint(aLast.count() - 1))) + { + // start of first and end of last are the same -> merge them + aLast.append(aFirst); + aLast.removeDoublePoints(); + pGapTarget->setB2DPolygon(0, aLast); + pGapTarget->remove(nCount - 1); + } + } + } + } + else + { + // parameters make no sense, just add source to targets + if(pLineTarget) + { + pLineTarget->append(rCandidate); + } + + if(pGapTarget) + { + pGapTarget->append(rCandidate); + } + } + } + + // test if point is inside epsilon-range around an edge defined + // by the two given points. Can be used for HitTesting. The epsilon-range + // is defined to be the rectangle centered to the given edge, using height + // 2 x fDistance, and the circle around both points with radius fDistance. + bool isInEpsilonRange(const B2DPoint& rEdgeStart, const B2DPoint& rEdgeEnd, const B2DPoint& rTestPosition, double fDistance) + { + // build edge vector + const B2DVector aEdge(rEdgeEnd - rEdgeStart); + bool bDoDistanceTestStart(false); + bool bDoDistanceTestEnd(false); + + if(aEdge.equalZero()) + { + // no edge, just a point. Do one of the distance tests. + bDoDistanceTestStart = true; + } + else + { + // edge has a length. Create perpendicular vector. + const B2DVector aPerpend(getPerpendicular(aEdge)); + double fCut( + (aPerpend.getY() * (rTestPosition.getX() - rEdgeStart.getX()) + + aPerpend.getX() * (rEdgeStart.getY() - rTestPosition.getY())) / + (aEdge.getX() * aEdge.getX() + aEdge.getY() * aEdge.getY())); + const double fZero(0.0); + const double fOne(1.0); + + if(fTools::less(fCut, fZero)) + { + // left of rEdgeStart + bDoDistanceTestStart = true; + } + else if(fTools::more(fCut, fOne)) + { + // right of rEdgeEnd + bDoDistanceTestEnd = true; + } + else + { + // inside line [0.0 .. 1.0] + const B2DPoint aCutPoint(interpolate(rEdgeStart, rEdgeEnd, fCut)); + const B2DVector aDelta(rTestPosition - aCutPoint); + const double fDistanceSquare(aDelta.scalar(aDelta)); + + if(fDistanceSquare <= fDistance * fDistance) + { + return true; + } + else + { + return false; + } + } + } + + if(bDoDistanceTestStart) + { + const B2DVector aDelta(rTestPosition - rEdgeStart); + const double fDistanceSquare(aDelta.scalar(aDelta)); + + if(fDistanceSquare <= fDistance * fDistance) + { + return true; + } + } + else if(bDoDistanceTestEnd) + { + const B2DVector aDelta(rTestPosition - rEdgeEnd); + const double fDistanceSquare(aDelta.scalar(aDelta)); + + if(fDistanceSquare <= fDistance * fDistance) + { + return true; + } + } + + return false; + } + + // test if point is inside epsilon-range around the given Polygon. Can be used + // for HitTesting. The epsilon-range is defined to be the tube around the polygon + // with distance fDistance and rounded edges (start and end point). + bool isInEpsilonRange(const B2DPolygon& rCandidate, const B2DPoint& rTestPosition, double fDistance) + { + // force to non-bezier polygon + const B2DPolygon aCandidate(rCandidate.getDefaultAdaptiveSubdivision()); + const sal_uInt32 nPointCount(aCandidate.count()); + + if(nPointCount) + { + const sal_uInt32 nEdgeCount(aCandidate.isClosed() ? nPointCount : nPointCount - 1L); + B2DPoint aCurrent(aCandidate.getB2DPoint(0)); + + if(nEdgeCount) + { + // edges + for(sal_uInt32 a(0); a < nEdgeCount; a++) + { + const sal_uInt32 nNextIndex((a + 1) % nPointCount); + const B2DPoint aNext(aCandidate.getB2DPoint(nNextIndex)); + + if(isInEpsilonRange(aCurrent, aNext, rTestPosition, fDistance)) + { + return true; + } + + // prepare next step + aCurrent = aNext; + } + } + else + { + // no edges, but points -> not closed. Check single point. Just + // use isInEpsilonRange with twice the same point, it handles those well + if(isInEpsilonRange(aCurrent, aCurrent, rTestPosition, fDistance)) + { + return true; + } + } + } + + return false; + } + + B2DPolygon createPolygonFromRect( const B2DRectangle& rRect, double fRadius ) + { + const double fZero(0.0); + const double fOne(1.0); + + if(fTools::lessOrEqual(fRadius, fZero)) + { + // no radius, use rectangle + return createPolygonFromRect( rRect ); + } + else if(fTools::moreOrEqual(fRadius, fOne)) + { + // full radius, use ellipse + const B2DPoint aCenter(rRect.getCenter()); + const double fRadiusX(rRect.getWidth() / 2.0); + const double fRadiusY(rRect.getHeight() / 2.0); + + return createPolygonFromEllipse( aCenter, fRadiusX, fRadiusY ); + } + else + { + // create rectangle with two radii between ]0.0 .. 1.0[ + return createPolygonFromRect( rRect, fRadius, fRadius ); + } + } + + B2DPolygon createPolygonFromRect( const B2DRectangle& rRect, double fRadiusX, double fRadiusY ) + { + const double fZero(0.0); + const double fOne(1.0); + + // crop to useful values + if(fTools::less(fRadiusX, fZero)) + { + fRadiusX = fZero; + } + else if(fTools::more(fRadiusX, fOne)) + { + fRadiusX = fOne; + } + + if(fTools::less(fRadiusY, fZero)) + { + fRadiusY = fZero; + } + else if(fTools::more(fRadiusY, fOne)) + { + fRadiusY = fOne; + } + + if(fZero == fRadiusX || fZero == fRadiusY) + { + B2DPolygon aRetval; + + // at least in one direction no radius, use rectangle. + // Do not use createPolygonFromRect() here since original + // creator (historical reasons) still creates a start point at the + // bottom center, so do the same here to get the same line patterns. + // Due to this the order of points is different, too. + const B2DPoint aBottomCenter(rRect.getCenter().getX(), rRect.getMaxY()); + aRetval.append(aBottomCenter); + + aRetval.append( B2DPoint( rRect.getMinX(), rRect.getMaxY() ) ); + aRetval.append( B2DPoint( rRect.getMinX(), rRect.getMinY() ) ); + aRetval.append( B2DPoint( rRect.getMaxX(), rRect.getMinY() ) ); + aRetval.append( B2DPoint( rRect.getMaxX(), rRect.getMaxY() ) ); + + // close + aRetval.setClosed( true ); + + return aRetval; + } + else if(fOne == fRadiusX && fOne == fRadiusY) + { + // in both directions full radius, use ellipse + const B2DPoint aCenter(rRect.getCenter()); + const double fRectRadiusX(rRect.getWidth() / 2.0); + const double fRectRadiusY(rRect.getHeight() / 2.0); + + return createPolygonFromEllipse( aCenter, fRectRadiusX, fRectRadiusY ); + } + else + { + B2DPolygon aRetval; + const double fBowX((rRect.getWidth() / 2.0) * fRadiusX); + const double fBowY((rRect.getHeight() / 2.0) * fRadiusY); + const double fKappa((M_SQRT2 - 1.0) * 4.0 / 3.0); + + // create start point at bottom center + if(fOne != fRadiusX) + { + const B2DPoint aBottomCenter(rRect.getCenter().getX(), rRect.getMaxY()); + aRetval.append(aBottomCenter); + } + + // create first bow + { + const B2DPoint aBottomRight(rRect.getMaxX(), rRect.getMaxY()); + const B2DPoint aStart(aBottomRight + B2DPoint(-fBowX, 0.0)); + const B2DPoint aStop(aBottomRight + B2DPoint(0.0, -fBowY)); + aRetval.append(aStart); + aRetval.appendBezierSegment(interpolate(aStart, aBottomRight, fKappa), interpolate(aStop, aBottomRight, fKappa), aStop); + } + + // create second bow + { + const B2DPoint aTopRight(rRect.getMaxX(), rRect.getMinY()); + const B2DPoint aStart(aTopRight + B2DPoint(0.0, fBowY)); + const B2DPoint aStop(aTopRight + B2DPoint(-fBowX, 0.0)); + aRetval.append(aStart); + aRetval.appendBezierSegment(interpolate(aStart, aTopRight, fKappa), interpolate(aStop, aTopRight, fKappa), aStop); + } + + // create third bow + { + const B2DPoint aTopLeft(rRect.getMinX(), rRect.getMinY()); + const B2DPoint aStart(aTopLeft + B2DPoint(fBowX, 0.0)); + const B2DPoint aStop(aTopLeft + B2DPoint(0.0, fBowY)); + aRetval.append(aStart); + aRetval.appendBezierSegment(interpolate(aStart, aTopLeft, fKappa), interpolate(aStop, aTopLeft, fKappa), aStop); + } + + // create forth bow + { + const B2DPoint aBottomLeft(rRect.getMinX(), rRect.getMaxY()); + const B2DPoint aStart(aBottomLeft + B2DPoint(0.0, -fBowY)); + const B2DPoint aStop(aBottomLeft + B2DPoint(fBowX, 0.0)); + aRetval.append(aStart); + aRetval.appendBezierSegment(interpolate(aStart, aBottomLeft, fKappa), interpolate(aStop, aBottomLeft, fKappa), aStop); + } + + // close + aRetval.setClosed( true ); + + // remove double created points if there are extreme radii envolved + if(fOne == fRadiusX || fOne == fRadiusY) + { + aRetval.removeDoublePoints(); + } + + return aRetval; + } + } + + B2DPolygon createPolygonFromRect( const B2DRectangle& rRect ) + { + B2DPolygon aRetval; + + aRetval.append( B2DPoint( rRect.getMinX(), rRect.getMinY() ) ); + aRetval.append( B2DPoint( rRect.getMaxX(), rRect.getMinY() ) ); + aRetval.append( B2DPoint( rRect.getMaxX(), rRect.getMaxY() ) ); + aRetval.append( B2DPoint( rRect.getMinX(), rRect.getMaxY() ) ); + + // close + aRetval.setClosed( true ); + + return aRetval; + } + + B2DPolygon createPolygonFromCircle( const B2DPoint& rCenter, double fRadius ) + { + return createPolygonFromEllipse( rCenter, fRadius, fRadius ); + } + + B2DPolygon impCreateUnitCircle(sal_uInt32 nStartQuadrant) + { + B2DPolygon aUnitCircle; + const double fKappa((M_SQRT2 - 1.0) * 4.0 / 3.0); + const double fScaledKappa(fKappa * (1.0 / STEPSPERQUARTER)); + const B2DHomMatrix aRotateMatrix(createRotateB2DHomMatrix(F_PI2 / STEPSPERQUARTER)); + + B2DPoint aPoint(1.0, 0.0); + B2DPoint aForward(1.0, fScaledKappa); + B2DPoint aBackward(1.0, -fScaledKappa); + + if(0 != nStartQuadrant) + { + const B2DHomMatrix aQuadrantMatrix(createRotateB2DHomMatrix(F_PI2 * (nStartQuadrant % 4))); + aPoint *= aQuadrantMatrix; + aBackward *= aQuadrantMatrix; + aForward *= aQuadrantMatrix; + } + + aUnitCircle.append(aPoint); + + for(sal_uInt32 a(0); a < STEPSPERQUARTER * 4; a++) + { + aPoint *= aRotateMatrix; + aBackward *= aRotateMatrix; + aUnitCircle.appendBezierSegment(aForward, aBackward, aPoint); + aForward *= aRotateMatrix; + } + + aUnitCircle.setClosed(true); + aUnitCircle.removeDoublePoints(); + + return aUnitCircle; + } + + B2DPolygon createPolygonFromUnitCircle(sal_uInt32 nStartQuadrant) + { + switch(nStartQuadrant % 4) + { + case 1 : + { + static B2DPolygon aUnitCircleStartQuadrantOne; + + if(!aUnitCircleStartQuadrantOne.count()) + { + ::osl::Mutex m_mutex; + aUnitCircleStartQuadrantOne = impCreateUnitCircle(1); + } + + return aUnitCircleStartQuadrantOne; + } + case 2 : + { + static B2DPolygon aUnitCircleStartQuadrantTwo; + + if(!aUnitCircleStartQuadrantTwo.count()) + { + ::osl::Mutex m_mutex; + aUnitCircleStartQuadrantTwo = impCreateUnitCircle(2); + } + + return aUnitCircleStartQuadrantTwo; + } + case 3 : + { + static B2DPolygon aUnitCircleStartQuadrantThree; + + if(!aUnitCircleStartQuadrantThree.count()) + { + ::osl::Mutex m_mutex; + aUnitCircleStartQuadrantThree = impCreateUnitCircle(3); + } + + return aUnitCircleStartQuadrantThree; + } + default : // case 0 : + { + static B2DPolygon aUnitCircleStartQuadrantZero; + + if(!aUnitCircleStartQuadrantZero.count()) + { + ::osl::Mutex m_mutex; + aUnitCircleStartQuadrantZero = impCreateUnitCircle(0); + } + + return aUnitCircleStartQuadrantZero; + } + } + } + + B2DPolygon createPolygonFromEllipse( const B2DPoint& rCenter, double fRadiusX, double fRadiusY ) + { + B2DPolygon aRetval(createPolygonFromUnitCircle()); + const B2DHomMatrix aMatrix(createScaleTranslateB2DHomMatrix(fRadiusX, fRadiusY, rCenter.getX(), rCenter.getY())); + + aRetval.transform(aMatrix); + + return aRetval; + } + + B2DPolygon createPolygonFromUnitEllipseSegment( double fStart, double fEnd ) + { + B2DPolygon aRetval; + + // truncate fStart, fEnd to a range of [0.0 .. F_2PI[ where F_2PI + // falls back to 0.0 to ensure a unique definition + if(fTools::less(fStart, 0.0)) + { + fStart = 0.0; + } + + if(fTools::moreOrEqual(fStart, F_2PI)) + { + fStart = 0.0; + } + + if(fTools::less(fEnd, 0.0)) + { + fEnd = 0.0; + } + + if(fTools::moreOrEqual(fEnd, F_2PI)) + { + fEnd = 0.0; + } + + if(fTools::equal(fStart, fEnd)) + { + // same start and end angle, add single point + aRetval.append(B2DPoint(cos(fStart), sin(fStart))); + } + else + { + const sal_uInt32 nSegments(STEPSPERQUARTER * 4); + const double fAnglePerSegment(F_PI2 / STEPSPERQUARTER); + const sal_uInt32 nStartSegment(sal_uInt32(fStart / fAnglePerSegment) % nSegments); + const sal_uInt32 nEndSegment(sal_uInt32(fEnd / fAnglePerSegment) % nSegments); + const double fKappa((M_SQRT2 - 1.0) * 4.0 / 3.0); + const double fScaledKappa(fKappa * (1.0 / STEPSPERQUARTER)); + + B2DPoint aSegStart(cos(fStart), sin(fStart)); + aRetval.append(aSegStart); + + if(nStartSegment == nEndSegment && fTools::more(fEnd, fStart)) + { + // start and end in one sector and in the right order, create in one segment + const B2DPoint aSegEnd(cos(fEnd), sin(fEnd)); + const double fFactor(fScaledKappa * ((fEnd - fStart) / fAnglePerSegment)); + + aRetval.appendBezierSegment( + aSegStart + (B2DPoint(-aSegStart.getY(), aSegStart.getX()) * fFactor), + aSegEnd - (B2DPoint(-aSegEnd.getY(), aSegEnd.getX()) * fFactor), + aSegEnd); + } + else + { + double fSegEndRad((nStartSegment + 1) * fAnglePerSegment); + double fFactor(fScaledKappa * ((fSegEndRad - fStart) / fAnglePerSegment)); + B2DPoint aSegEnd(cos(fSegEndRad), sin(fSegEndRad)); + + aRetval.appendBezierSegment( + aSegStart + (B2DPoint(-aSegStart.getY(), aSegStart.getX()) * fFactor), + aSegEnd - (B2DPoint(-aSegEnd.getY(), aSegEnd.getX()) * fFactor), + aSegEnd); + + sal_uInt32 nSegment((nStartSegment + 1) % nSegments); + aSegStart = aSegEnd; + + while(nSegment != nEndSegment) + { + // No end in this sector, add full sector. + fSegEndRad = (nSegment + 1) * fAnglePerSegment; + aSegEnd = B2DPoint(cos(fSegEndRad), sin(fSegEndRad)); + + aRetval.appendBezierSegment( + aSegStart + (B2DPoint(-aSegStart.getY(), aSegStart.getX()) * fScaledKappa), + aSegEnd - (B2DPoint(-aSegEnd.getY(), aSegEnd.getX()) * fScaledKappa), + aSegEnd); + + nSegment = (nSegment + 1) % nSegments; + aSegStart = aSegEnd; + } + + // End in this sector + const double fSegStartRad(nSegment * fAnglePerSegment); + fFactor = fScaledKappa * ((fEnd - fSegStartRad) / fAnglePerSegment); + aSegEnd = B2DPoint(cos(fEnd), sin(fEnd)); + + aRetval.appendBezierSegment( + aSegStart + (B2DPoint(-aSegStart.getY(), aSegStart.getX()) * fFactor), + aSegEnd - (B2DPoint(-aSegEnd.getY(), aSegEnd.getX()) * fFactor), + aSegEnd); + } + } + + // remove double points between segments created by segmented creation + aRetval.removeDoublePoints(); + + return aRetval; + } + + B2DPolygon createPolygonFromEllipseSegment( const B2DPoint& rCenter, double fRadiusX, double fRadiusY, double fStart, double fEnd ) + { + B2DPolygon aRetval(createPolygonFromUnitEllipseSegment(fStart, fEnd)); + const B2DHomMatrix aMatrix(createScaleTranslateB2DHomMatrix(fRadiusX, fRadiusY, rCenter.getX(), rCenter.getY())); + + aRetval.transform(aMatrix); + + return aRetval; + } + + bool hasNeutralPoints(const B2DPolygon& rCandidate) + { + OSL_ENSURE(!rCandidate.areControlPointsUsed(), "hasNeutralPoints: ATM works not for curves (!)"); + const sal_uInt32 nPointCount(rCandidate.count()); + + if(nPointCount > 2L) + { + B2DPoint aPrevPoint(rCandidate.getB2DPoint(nPointCount - 1L)); + B2DPoint aCurrPoint(rCandidate.getB2DPoint(0L)); + + for(sal_uInt32 a(0L); a < nPointCount; a++) + { + const B2DPoint aNextPoint(rCandidate.getB2DPoint((a + 1) % nPointCount)); + const B2DVector aPrevVec(aPrevPoint - aCurrPoint); + const B2DVector aNextVec(aNextPoint - aCurrPoint); + const B2VectorOrientation aOrientation(getOrientation(aNextVec, aPrevVec)); + + if(ORIENTATION_NEUTRAL == aOrientation) + { + // current has neutral orientation + return true; + } + else + { + // prepare next + aPrevPoint = aCurrPoint; + aCurrPoint = aNextPoint; + } + } + } + + return false; + } + + B2DPolygon removeNeutralPoints(const B2DPolygon& rCandidate) + { + if(hasNeutralPoints(rCandidate)) + { + const sal_uInt32 nPointCount(rCandidate.count()); + B2DPolygon aRetval; + B2DPoint aPrevPoint(rCandidate.getB2DPoint(nPointCount - 1L)); + B2DPoint aCurrPoint(rCandidate.getB2DPoint(0L)); + + for(sal_uInt32 a(0L); a < nPointCount; a++) + { + const B2DPoint aNextPoint(rCandidate.getB2DPoint((a + 1) % nPointCount)); + const B2DVector aPrevVec(aPrevPoint - aCurrPoint); + const B2DVector aNextVec(aNextPoint - aCurrPoint); + const B2VectorOrientation aOrientation(getOrientation(aNextVec, aPrevVec)); + + if(ORIENTATION_NEUTRAL == aOrientation) + { + // current has neutral orientation, leave it out and prepare next + aCurrPoint = aNextPoint; + } + else + { + // add current point + aRetval.append(aCurrPoint); + + // prepare next + aPrevPoint = aCurrPoint; + aCurrPoint = aNextPoint; + } + } + + while(aRetval.count() && ORIENTATION_NEUTRAL == getOrientationForIndex(aRetval, 0L)) + { + aRetval.remove(0L); + } + + // copy closed state + aRetval.setClosed(rCandidate.isClosed()); + + return aRetval; + } + else + { + return rCandidate; + } + } + + bool isConvex(const B2DPolygon& rCandidate) + { + OSL_ENSURE(!rCandidate.areControlPointsUsed(), "isConvex: ATM works not for curves (!)"); + const sal_uInt32 nPointCount(rCandidate.count()); + + if(nPointCount > 2L) + { + const B2DPoint aPrevPoint(rCandidate.getB2DPoint(nPointCount - 1L)); + B2DPoint aCurrPoint(rCandidate.getB2DPoint(0L)); + B2DVector aCurrVec(aPrevPoint - aCurrPoint); + B2VectorOrientation aOrientation(ORIENTATION_NEUTRAL); + + for(sal_uInt32 a(0L); a < nPointCount; a++) + { + const B2DPoint aNextPoint(rCandidate.getB2DPoint((a + 1) % nPointCount)); + const B2DVector aNextVec(aNextPoint - aCurrPoint); + const B2VectorOrientation aCurrentOrientation(getOrientation(aNextVec, aCurrVec)); + + if(ORIENTATION_NEUTRAL == aOrientation) + { + // set start value, maybe neutral again + aOrientation = aCurrentOrientation; + } + else + { + if(ORIENTATION_NEUTRAL != aCurrentOrientation && aCurrentOrientation != aOrientation) + { + // different orientations found, that's it + return false; + } + } + + // prepare next + aCurrPoint = aNextPoint; + aCurrVec = -aNextVec; + } + } + + return true; + } + + B2VectorOrientation getOrientationForIndex(const B2DPolygon& rCandidate, sal_uInt32 nIndex) + { + OSL_ENSURE(nIndex < rCandidate.count(), "getOrientationForIndex: index out of range (!)"); + const B2DPoint aPrev(rCandidate.getB2DPoint(getIndexOfPredecessor(nIndex, rCandidate))); + const B2DPoint aCurr(rCandidate.getB2DPoint(nIndex)); + const B2DPoint aNext(rCandidate.getB2DPoint(getIndexOfSuccessor(nIndex, rCandidate))); + const B2DVector aBack(aPrev - aCurr); + const B2DVector aForw(aNext - aCurr); + + return getOrientation(aForw, aBack); + } + + bool isPointOnLine(const B2DPoint& rStart, const B2DPoint& rEnd, const B2DPoint& rCandidate, bool bWithPoints) + { + if(rCandidate.equal(rStart) || rCandidate.equal(rEnd)) + { + // candidate is in epsilon around start or end -> inside + return bWithPoints; + } + else if(rStart.equal(rEnd)) + { + // start and end are equal, but candidate is outside their epsilon -> outside + return false; + } + else + { + const B2DVector aEdgeVector(rEnd - rStart); + const B2DVector aTestVector(rCandidate - rStart); + + if(areParallel(aEdgeVector, aTestVector)) + { + const double fZero(0.0); + const double fOne(1.0); + const double fParamTestOnCurr(fabs(aEdgeVector.getX()) > fabs(aEdgeVector.getY()) + ? aTestVector.getX() / aEdgeVector.getX() + : aTestVector.getY() / aEdgeVector.getY()); + + if(fTools::more(fParamTestOnCurr, fZero) && fTools::less(fParamTestOnCurr, fOne)) + { + return true; + } + } + + return false; + } + } + + bool isPointOnPolygon(const B2DPolygon& rCandidate, const B2DPoint& rPoint, bool bWithPoints) + { + const B2DPolygon aCandidate(rCandidate.areControlPointsUsed() ? rCandidate.getDefaultAdaptiveSubdivision() : rCandidate); + const sal_uInt32 nPointCount(aCandidate.count()); + + if(nPointCount > 1L) + { + const sal_uInt32 nLoopCount(aCandidate.isClosed() ? nPointCount : nPointCount - 1L); + B2DPoint aCurrentPoint(aCandidate.getB2DPoint(0L)); + + for(sal_uInt32 a(0L); a < nLoopCount; a++) + { + const B2DPoint aNextPoint(aCandidate.getB2DPoint((a + 1L) % nPointCount)); + + if(isPointOnLine(aCurrentPoint, aNextPoint, rPoint, bWithPoints)) + { + return true; + } + + aCurrentPoint = aNextPoint; + } + } + else if(nPointCount && bWithPoints) + { + return rPoint.equal(aCandidate.getB2DPoint(0L)); + } + + return false; + } + + bool isPointInTriangle(const B2DPoint& rA, const B2DPoint& rB, const B2DPoint& rC, const B2DPoint& rCandidate, bool bWithBorder) + { + if(arePointsOnSameSideOfLine(rA, rB, rC, rCandidate, bWithBorder)) + { + if(arePointsOnSameSideOfLine(rB, rC, rA, rCandidate, bWithBorder)) + { + if(arePointsOnSameSideOfLine(rC, rA, rB, rCandidate, bWithBorder)) + { + return true; + } + } + } + + return false; + } + + bool arePointsOnSameSideOfLine(const B2DPoint& rStart, const B2DPoint& rEnd, const B2DPoint& rCandidateA, const B2DPoint& rCandidateB, bool bWithLine) + { + const B2DVector aLineVector(rEnd - rStart); + const B2DVector aVectorToA(rEnd - rCandidateA); + const double fCrossA(aLineVector.cross(aVectorToA)); + + if(fTools::equalZero(fCrossA)) + { + // one point on the line + return bWithLine; + } + + const B2DVector aVectorToB(rEnd - rCandidateB); + const double fCrossB(aLineVector.cross(aVectorToB)); + + if(fTools::equalZero(fCrossB)) + { + // one point on the line + return bWithLine; + } + + // return true if they both have the same sign + return ((fCrossA > 0.0) == (fCrossB > 0.0)); + } + + void addTriangleFan(const B2DPolygon& rCandidate, B2DPolygon& rTarget) + { + const sal_uInt32 nCount(rCandidate.count()); + + if(nCount > 2L) + { + const B2DPoint aStart(rCandidate.getB2DPoint(0L)); + B2DPoint aLast(rCandidate.getB2DPoint(1L)); + + for(sal_uInt32 a(2L); a < nCount; a++) + { + const B2DPoint aCurrent(rCandidate.getB2DPoint(a)); + rTarget.append(aStart); + rTarget.append(aLast); + rTarget.append(aCurrent); + + // prepare next + aLast = aCurrent; + } + } + } + + namespace + { + /// return 0 for input of 0, -1 for negative and 1 for positive input + inline int lcl_sgn( const double n ) + { + return n == 0.0 ? 0 : 1 - 2*::rtl::math::isSignBitSet(n); + } + } + + bool isRectangle( const B2DPolygon& rPoly ) + { + // polygon must be closed to resemble a rect, and contain + // at least four points. + if( !rPoly.isClosed() || + rPoly.count() < 4 ) + { + return false; + } + + // number of 90 degree turns the polygon has taken + int nNumTurns(0); + + int nVerticalEdgeType=0; + int nHorizontalEdgeType=0; + bool bNullVertex(true); + bool bCWPolygon(false); // when true, polygon is CW + // oriented, when false, CCW + bool bOrientationSet(false); // when false, polygon + // orientation has not yet + // been determined. + + // scan all _edges_ (which involves coming back to point 0 + // for the last edge - thus the modulo operation below) + const sal_Int32 nCount( rPoly.count() ); + for( sal_Int32 i=0; i<nCount; ++i ) + { + const B2DPoint& rPoint0( rPoly.getB2DPoint(i % nCount) ); + const B2DPoint& rPoint1( rPoly.getB2DPoint((i+1) % nCount) ); + + // is 0 for zero direction vector, 1 for south edge and -1 + // for north edge (standard screen coordinate system) + int nCurrVerticalEdgeType( lcl_sgn( rPoint1.getY() - rPoint0.getY() ) ); + + // is 0 for zero direction vector, 1 for east edge and -1 + // for west edge (standard screen coordinate system) + int nCurrHorizontalEdgeType( lcl_sgn(rPoint1.getX() - rPoint0.getX()) ); + + if( nCurrVerticalEdgeType && nCurrHorizontalEdgeType ) + return false; // oblique edge - for sure no rect + + const bool bCurrNullVertex( !nCurrVerticalEdgeType && !nCurrHorizontalEdgeType ); + + // current vertex is equal to previous - just skip, + // until we have a real edge + if( bCurrNullVertex ) + continue; + + // if previous edge has two identical points, because + // no previous edge direction was available, simply + // take this first non-null edge as the start + // direction. That's what will happen here, if + // bNullVertex is false + if( !bNullVertex ) + { + // 2D cross product - is 1 for CW and -1 for CCW turns + const int nCrossProduct( nHorizontalEdgeType*nCurrVerticalEdgeType - + nVerticalEdgeType*nCurrHorizontalEdgeType ); + + if( !nCrossProduct ) + continue; // no change in orientation - + // collinear edges - just go on + + // if polygon orientation is not set, we'll + // determine it now + if( !bOrientationSet ) + { + bCWPolygon = nCrossProduct == 1; + bOrientationSet = true; + } + else + { + // if current turn orientation is not equal + // initial orientation, this is not a + // rectangle (as rectangles have consistent + // orientation). + if( (nCrossProduct == 1) != bCWPolygon ) + return false; + } + + ++nNumTurns; + + // More than four 90 degree turns are an + // indication that this must not be a rectangle. + if( nNumTurns > 4 ) + return false; + } + + // store current state for the next turn + nVerticalEdgeType = nCurrVerticalEdgeType; + nHorizontalEdgeType = nCurrHorizontalEdgeType; + bNullVertex = false; // won't reach this line, + // if bCurrNullVertex is + // true - see above + } + + return true; + } + + B3DPolygon createB3DPolygonFromB2DPolygon(const B2DPolygon& rCandidate, double fZCoordinate) + { + if(rCandidate.areControlPointsUsed()) + { + // call myself recursively with subdivided input + const B2DPolygon aCandidate(adaptiveSubdivideByAngle(rCandidate)); + return createB3DPolygonFromB2DPolygon(aCandidate, fZCoordinate); + } + else + { + B3DPolygon aRetval; + + for(sal_uInt32 a(0L); a < rCandidate.count(); a++) + { + B2DPoint aPoint(rCandidate.getB2DPoint(a)); + aRetval.append(B3DPoint(aPoint.getX(), aPoint.getY(), fZCoordinate)); + } + + // copy closed state + aRetval.setClosed(rCandidate.isClosed()); + + return aRetval; + } + } + + B2DPolygon createB2DPolygonFromB3DPolygon(const B3DPolygon& rCandidate, const B3DHomMatrix& rMat) + { + B2DPolygon aRetval; + const sal_uInt32 nCount(rCandidate.count()); + const bool bIsIdentity(rMat.isIdentity()); + + for(sal_uInt32 a(0L); a < nCount; a++) + { + B3DPoint aCandidate(rCandidate.getB3DPoint(a)); + + if(!bIsIdentity) + { + aCandidate *= rMat; + } + + aRetval.append(B2DPoint(aCandidate.getX(), aCandidate.getY())); + } + + // copy closed state + aRetval.setClosed(rCandidate.isClosed()); + + return aRetval; + } + + double getDistancePointToEndlessRay(const B2DPoint& rPointA, const B2DPoint& rPointB, const B2DPoint& rTestPoint, double& rCut) + { + if(rPointA.equal(rPointB)) + { + rCut = 0.0; + const B2DVector aVector(rTestPoint - rPointA); + return aVector.getLength(); + } + else + { + // get the relative cut value on line vector (Vector1) for cut with perpendicular through TestPoint + const B2DVector aVector1(rPointB - rPointA); + const B2DVector aVector2(rTestPoint - rPointA); + const double fDividend((aVector2.getX() * aVector1.getX()) + (aVector2.getY() * aVector1.getY())); + const double fDivisor((aVector1.getX() * aVector1.getX()) + (aVector1.getY() * aVector1.getY())); + + rCut = fDividend / fDivisor; + + const B2DPoint aCutPoint(rPointA + rCut * aVector1); + const B2DVector aVector(rTestPoint - aCutPoint); + return aVector.getLength(); + } + } + + double getSmallestDistancePointToEdge(const B2DPoint& rPointA, const B2DPoint& rPointB, const B2DPoint& rTestPoint, double& rCut) + { + if(rPointA.equal(rPointB)) + { + rCut = 0.0; + const B2DVector aVector(rTestPoint - rPointA); + return aVector.getLength(); + } + else + { + // get the relative cut value on line vector (Vector1) for cut with perpendicular through TestPoint + const B2DVector aVector1(rPointB - rPointA); + const B2DVector aVector2(rTestPoint - rPointA); + const double fDividend((aVector2.getX() * aVector1.getX()) + (aVector2.getY() * aVector1.getY())); + const double fDivisor((aVector1.getX() * aVector1.getX()) + (aVector1.getY() * aVector1.getY())); + const double fCut(fDividend / fDivisor); + + if(fCut < 0.0) + { + // not in line range, get distance to PointA + rCut = 0.0; + return aVector2.getLength(); + } + else if(fCut > 1.0) + { + // not in line range, get distance to PointB + rCut = 1.0; + const B2DVector aVector(rTestPoint - rPointB); + return aVector.getLength(); + } + else + { + // in line range + const B2DPoint aCutPoint(rPointA + fCut * aVector1); + const B2DVector aVector(rTestPoint - aCutPoint); + rCut = fCut; + return aVector.getLength(); + } + } + } + + double getSmallestDistancePointToPolygon(const B2DPolygon& rCandidate, const B2DPoint& rTestPoint, sal_uInt32& rEdgeIndex, double& rCut) + { + double fRetval(DBL_MAX); + const sal_uInt32 nPointCount(rCandidate.count()); + + if(nPointCount > 1L) + { + const double fZero(0.0); + const sal_uInt32 nEdgeCount(rCandidate.isClosed() ? nPointCount : nPointCount - 1L); + B2DCubicBezier aBezier; + aBezier.setStartPoint(rCandidate.getB2DPoint(0)); + + for(sal_uInt32 a(0L); a < nEdgeCount; a++) + { + const sal_uInt32 nNextIndex((a + 1) % nPointCount); + aBezier.setEndPoint(rCandidate.getB2DPoint(nNextIndex)); + double fEdgeDist; + double fNewCut; + bool bEdgeIsCurve(false); + + if(rCandidate.areControlPointsUsed()) + { + aBezier.setControlPointA(rCandidate.getNextControlPoint(a)); + aBezier.setControlPointB(rCandidate.getPrevControlPoint(nNextIndex)); + aBezier.testAndSolveTrivialBezier(); + bEdgeIsCurve = aBezier.isBezier(); + } + + if(bEdgeIsCurve) + { + fEdgeDist = aBezier.getSmallestDistancePointToBezierSegment(rTestPoint, fNewCut); + } + else + { + fEdgeDist = getSmallestDistancePointToEdge(aBezier.getStartPoint(), aBezier.getEndPoint(), rTestPoint, fNewCut); + } + + if(DBL_MAX == fRetval || fEdgeDist < fRetval) + { + fRetval = fEdgeDist; + rEdgeIndex = a; + rCut = fNewCut; + + if(fTools::equal(fRetval, fZero)) + { + // already found zero distance, cannot get better. Ensure numerical zero value and end loop. + fRetval = 0.0; + break; + } + } + + // prepare next step + aBezier.setStartPoint(aBezier.getEndPoint()); + } + + if(1.0 == rCut) + { + // correct rEdgeIndex when not last point + if(rCandidate.isClosed()) + { + rEdgeIndex = getIndexOfSuccessor(rEdgeIndex, rCandidate); + rCut = 0.0; + } + else + { + if(rEdgeIndex != nEdgeCount - 1L) + { + rEdgeIndex++; + rCut = 0.0; + } + } + } + } + + return fRetval; + } + + B2DPoint distort(const B2DPoint& rCandidate, const B2DRange& rOriginal, const B2DPoint& rTopLeft, const B2DPoint& rTopRight, const B2DPoint& rBottomLeft, const B2DPoint& rBottomRight) + { + if(fTools::equalZero(rOriginal.getWidth()) || fTools::equalZero(rOriginal.getHeight())) + { + return rCandidate; + } + else + { + const double fRelativeX((rCandidate.getX() - rOriginal.getMinX()) / rOriginal.getWidth()); + const double fRelativeY((rCandidate.getY() - rOriginal.getMinY()) / rOriginal.getHeight()); + const double fOneMinusRelativeX(1.0 - fRelativeX); + const double fOneMinusRelativeY(1.0 - fRelativeY); + const double fNewX((fOneMinusRelativeY) * ((fOneMinusRelativeX) * rTopLeft.getX() + fRelativeX * rTopRight.getX()) + + fRelativeY * ((fOneMinusRelativeX) * rBottomLeft.getX() + fRelativeX * rBottomRight.getX())); + const double fNewY((fOneMinusRelativeX) * ((fOneMinusRelativeY) * rTopLeft.getY() + fRelativeY * rBottomLeft.getY()) + + fRelativeX * ((fOneMinusRelativeY) * rTopRight.getY() + fRelativeY * rBottomRight.getY())); + + return B2DPoint(fNewX, fNewY); + } + } + + B2DPolygon distort(const B2DPolygon& rCandidate, const B2DRange& rOriginal, const B2DPoint& rTopLeft, const B2DPoint& rTopRight, const B2DPoint& rBottomLeft, const B2DPoint& rBottomRight) + { + const sal_uInt32 nPointCount(rCandidate.count()); + + if(nPointCount && 0.0 != rOriginal.getWidth() && 0.0 != rOriginal.getHeight()) + { + B2DPolygon aRetval; + + for(sal_uInt32 a(0L); a < nPointCount; a++) + { + aRetval.append(distort(rCandidate.getB2DPoint(a), rOriginal, rTopLeft, rTopRight, rBottomLeft, rBottomRight)); + + if(rCandidate.areControlPointsUsed()) + { + if(!rCandidate.getPrevControlPoint(a).equalZero()) + { + aRetval.setPrevControlPoint(a, distort(rCandidate.getPrevControlPoint(a), rOriginal, rTopLeft, rTopRight, rBottomLeft, rBottomRight)); + } + + if(!rCandidate.getNextControlPoint(a).equalZero()) + { + aRetval.setNextControlPoint(a, distort(rCandidate.getNextControlPoint(a), rOriginal, rTopLeft, rTopRight, rBottomLeft, rBottomRight)); + } + } + } + + aRetval.setClosed(rCandidate.isClosed()); + return aRetval; + } + else + { + return rCandidate; + } + } + + B2DPolygon rotateAroundPoint(const B2DPolygon& rCandidate, const B2DPoint& rCenter, double fAngle) + { + const sal_uInt32 nPointCount(rCandidate.count()); + B2DPolygon aRetval(rCandidate); + + if(nPointCount) + { + const B2DHomMatrix aMatrix(basegfx::tools::createRotateAroundPoint(rCenter, fAngle)); + + aRetval.transform(aMatrix); + } + + return aRetval; + } + + B2DPolygon expandToCurve(const B2DPolygon& rCandidate) + { + B2DPolygon aRetval(rCandidate); + + for(sal_uInt32 a(0L); a < rCandidate.count(); a++) + { + expandToCurveInPoint(aRetval, a); + } + + return aRetval; + } + + bool expandToCurveInPoint(B2DPolygon& rCandidate, sal_uInt32 nIndex) + { + OSL_ENSURE(nIndex < rCandidate.count(), "expandToCurveInPoint: Access to polygon out of range (!)"); + bool bRetval(false); + const sal_uInt32 nPointCount(rCandidate.count()); + + if(nPointCount) + { + // predecessor + if(!rCandidate.isPrevControlPointUsed(nIndex)) + { + if(!rCandidate.isClosed() && 0 == nIndex) + { + // do not create previous vector for start point of open polygon + } + else + { + const sal_uInt32 nPrevIndex((nIndex + (nPointCount - 1)) % nPointCount); + rCandidate.setPrevControlPoint(nIndex, interpolate(rCandidate.getB2DPoint(nIndex), rCandidate.getB2DPoint(nPrevIndex), 1.0 / 3.0)); + bRetval = true; + } + } + + // successor + if(!rCandidate.isNextControlPointUsed(nIndex)) + { + if(!rCandidate.isClosed() && nIndex + 1 == nPointCount) + { + // do not create next vector for end point of open polygon + } + else + { + const sal_uInt32 nNextIndex((nIndex + 1) % nPointCount); + rCandidate.setNextControlPoint(nIndex, interpolate(rCandidate.getB2DPoint(nIndex), rCandidate.getB2DPoint(nNextIndex), 1.0 / 3.0)); + bRetval = true; + } + } + } + + return bRetval; + } + + B2DPolygon setContinuity(const B2DPolygon& rCandidate, B2VectorContinuity eContinuity) + { + B2DPolygon aRetval(rCandidate); + + for(sal_uInt32 a(0L); a < rCandidate.count(); a++) + { + setContinuityInPoint(aRetval, a, eContinuity); + } + + return aRetval; + } + + bool setContinuityInPoint(B2DPolygon& rCandidate, sal_uInt32 nIndex, B2VectorContinuity eContinuity) + { + OSL_ENSURE(nIndex < rCandidate.count(), "setContinuityInPoint: Access to polygon out of range (!)"); + bool bRetval(false); + const sal_uInt32 nPointCount(rCandidate.count()); + + if(nPointCount) + { + const B2DPoint aCurrentPoint(rCandidate.getB2DPoint(nIndex)); + + switch(eContinuity) + { + case CONTINUITY_NONE : + { + if(rCandidate.isPrevControlPointUsed(nIndex)) + { + if(!rCandidate.isClosed() && 0 == nIndex) + { + // remove existing previous vector for start point of open polygon + rCandidate.resetPrevControlPoint(nIndex); + } + else + { + const sal_uInt32 nPrevIndex((nIndex + (nPointCount - 1)) % nPointCount); + rCandidate.setPrevControlPoint(nIndex, interpolate(aCurrentPoint, rCandidate.getB2DPoint(nPrevIndex), 1.0 / 3.0)); + } + + bRetval = true; + } + + if(rCandidate.isNextControlPointUsed(nIndex)) + { + if(!rCandidate.isClosed() && nIndex == nPointCount + 1) + { + // remove next vector for end point of open polygon + rCandidate.resetNextControlPoint(nIndex); + } + else + { + const sal_uInt32 nNextIndex((nIndex + 1) % nPointCount); + rCandidate.setNextControlPoint(nIndex, interpolate(aCurrentPoint, rCandidate.getB2DPoint(nNextIndex), 1.0 / 3.0)); + } + + bRetval = true; + } + + break; + } + case CONTINUITY_C1 : + { + if(rCandidate.isPrevControlPointUsed(nIndex) && rCandidate.isNextControlPointUsed(nIndex)) + { + // lengths both exist since both are used + B2DVector aVectorPrev(rCandidate.getPrevControlPoint(nIndex) - aCurrentPoint); + B2DVector aVectorNext(rCandidate.getNextControlPoint(nIndex) - aCurrentPoint); + const double fLenPrev(aVectorPrev.getLength()); + const double fLenNext(aVectorNext.getLength()); + aVectorPrev.normalize(); + aVectorNext.normalize(); + const B2VectorOrientation aOrientation(getOrientation(aVectorPrev, aVectorNext)); + + if(ORIENTATION_NEUTRAL == aOrientation && aVectorPrev.scalar(aVectorNext) < 0.0) + { + // parallel and opposite direction; check length + if(fTools::equal(fLenPrev, fLenNext)) + { + // this would be even C2, but we want C1. Use the lengths of the corresponding edges. + const sal_uInt32 nPrevIndex((nIndex + (nPointCount - 1)) % nPointCount); + const sal_uInt32 nNextIndex((nIndex + 1) % nPointCount); + const double fLenPrevEdge(B2DVector(rCandidate.getB2DPoint(nPrevIndex) - aCurrentPoint).getLength() * (1.0 / 3.0)); + const double fLenNextEdge(B2DVector(rCandidate.getB2DPoint(nNextIndex) - aCurrentPoint).getLength() * (1.0 / 3.0)); + + rCandidate.setControlPoints(nIndex, + aCurrentPoint + (aVectorPrev * fLenPrevEdge), + aCurrentPoint + (aVectorNext * fLenNextEdge)); + bRetval = true; + } + } + else + { + // not parallel or same direction, set vectors and length + const B2DVector aNormalizedPerpendicular(getNormalizedPerpendicular(aVectorPrev + aVectorNext)); + + if(ORIENTATION_POSITIVE == aOrientation) + { + rCandidate.setControlPoints(nIndex, + aCurrentPoint - (aNormalizedPerpendicular * fLenPrev), + aCurrentPoint + (aNormalizedPerpendicular * fLenNext)); + } + else + { + rCandidate.setControlPoints(nIndex, + aCurrentPoint + (aNormalizedPerpendicular * fLenPrev), + aCurrentPoint - (aNormalizedPerpendicular * fLenNext)); + } + + bRetval = true; + } + } + break; + } + case CONTINUITY_C2 : + { + if(rCandidate.isPrevControlPointUsed(nIndex) && rCandidate.isNextControlPointUsed(nIndex)) + { + // lengths both exist since both are used + B2DVector aVectorPrev(rCandidate.getPrevControlPoint(nIndex) - aCurrentPoint); + B2DVector aVectorNext(rCandidate.getNextControlPoint(nIndex) - aCurrentPoint); + const double fCommonLength((aVectorPrev.getLength() + aVectorNext.getLength()) / 2.0); + aVectorPrev.normalize(); + aVectorNext.normalize(); + const B2VectorOrientation aOrientation(getOrientation(aVectorPrev, aVectorNext)); + + if(ORIENTATION_NEUTRAL == aOrientation && aVectorPrev.scalar(aVectorNext) < 0.0) + { + // parallel and opposite direction; set length. Use one direction for better numerical correctness + const B2DVector aScaledDirection(aVectorPrev * fCommonLength); + + rCandidate.setControlPoints(nIndex, + aCurrentPoint + aScaledDirection, + aCurrentPoint - aScaledDirection); + } + else + { + // not parallel or same direction, set vectors and length + const B2DVector aNormalizedPerpendicular(getNormalizedPerpendicular(aVectorPrev + aVectorNext)); + const B2DVector aPerpendicular(aNormalizedPerpendicular * fCommonLength); + + if(ORIENTATION_POSITIVE == aOrientation) + { + rCandidate.setControlPoints(nIndex, + aCurrentPoint - aPerpendicular, + aCurrentPoint + aPerpendicular); + } + else + { + rCandidate.setControlPoints(nIndex, + aCurrentPoint + aPerpendicular, + aCurrentPoint - aPerpendicular); + } + } + + bRetval = true; + } + break; + } + } + } + + return bRetval; + } + + B2DPolygon growInNormalDirection(const B2DPolygon& rCandidate, double fValue) + { + if(0.0 != fValue) + { + if(rCandidate.areControlPointsUsed()) + { + // call myself recursively with subdivided input + const B2DPolygon aCandidate(adaptiveSubdivideByAngle(rCandidate)); + return growInNormalDirection(aCandidate, fValue); + } + else + { + B2DPolygon aRetval; + const sal_uInt32 nPointCount(rCandidate.count()); + + if(nPointCount) + { + B2DPoint aPrev(rCandidate.getB2DPoint(nPointCount - 1L)); + B2DPoint aCurrent(rCandidate.getB2DPoint(0L)); + + for(sal_uInt32 a(0L); a < nPointCount; a++) + { + const B2DPoint aNext(rCandidate.getB2DPoint(a + 1L == nPointCount ? 0L : a + 1L)); + const B2DVector aBack(aPrev - aCurrent); + const B2DVector aForw(aNext - aCurrent); + const B2DVector aPerpBack(getNormalizedPerpendicular(aBack)); + const B2DVector aPerpForw(getNormalizedPerpendicular(aForw)); + B2DVector aDirection(aPerpBack - aPerpForw); + aDirection.normalize(); + aDirection *= fValue; + aRetval.append(aCurrent + aDirection); + + // prepare next step + aPrev = aCurrent; + aCurrent = aNext; + } + } + + // copy closed state + aRetval.setClosed(rCandidate.isClosed()); + + return aRetval; + } + } + else + { + return rCandidate; + } + } + + B2DPolygon reSegmentPolygon(const B2DPolygon& rCandidate, sal_uInt32 nSegments) + { + B2DPolygon aRetval; + const sal_uInt32 nPointCount(rCandidate.count()); + + if(nPointCount && nSegments) + { + // get current segment count + const sal_uInt32 nSegmentCount(rCandidate.isClosed() ? nPointCount : nPointCount - 1L); + + if(nSegmentCount == nSegments) + { + aRetval = rCandidate; + } + else + { + const double fLength(getLength(rCandidate)); + const sal_uInt32 nLoopCount(rCandidate.isClosed() ? nSegments : nSegments + 1L); + + for(sal_uInt32 a(0L); a < nLoopCount; a++) + { + const double fRelativePos((double)a / (double)nSegments); // 0.0 .. 1.0 + const B2DPoint aNewPoint(getPositionRelative(rCandidate, fRelativePos, fLength)); + aRetval.append(aNewPoint); + } + + // copy closed flag + aRetval.setClosed(rCandidate.isClosed()); + } + } + + return aRetval; + } + + B2DPolygon reSegmentPolygonEdges(const B2DPolygon& rCandidate, sal_uInt32 nSubEdges, bool bHandleCurvedEdges, bool bHandleStraightEdges) + { + const sal_uInt32 nPointCount(rCandidate.count()); + + if(nPointCount < 2 || nSubEdges < 2 || (!bHandleCurvedEdges && !bHandleStraightEdges)) + { + // nothing to do: + // - less than two points -> no edge at all + // - less than two nSubEdges -> no resegment necessary + // - neither bHandleCurvedEdges nor bHandleStraightEdges -> nothing to do + return rCandidate; + } + else + { + B2DPolygon aRetval; + const sal_uInt32 nEdgeCount(rCandidate.isClosed() ? nPointCount : nPointCount - 1); + B2DCubicBezier aCurrentEdge; + + // prepare first edge and add start point to target + aCurrentEdge.setStartPoint(rCandidate.getB2DPoint(0)); + aRetval.append(aCurrentEdge.getStartPoint()); + + for(sal_uInt32 a(0); a < nEdgeCount; a++) + { + // fill edge + const sal_uInt32 nNextIndex((a + 1) % nPointCount); + aCurrentEdge.setControlPointA(rCandidate.getNextControlPoint(a)); + aCurrentEdge.setControlPointB(rCandidate.getPrevControlPoint(nNextIndex)); + aCurrentEdge.setEndPoint(rCandidate.getB2DPoint(nNextIndex)); + + if(aCurrentEdge.isBezier()) + { + if(bHandleCurvedEdges) + { + for(sal_uInt32 b(nSubEdges); b > 1; b--) + { + const double fSplitPoint(1.0 / b); + B2DCubicBezier aLeftPart; + + aCurrentEdge.split(fSplitPoint, &aLeftPart, &aCurrentEdge); + aRetval.appendBezierSegment(aLeftPart.getControlPointA(), aLeftPart.getControlPointB(), aLeftPart.getEndPoint()); + } + } + + // copy remaining segment to target + aRetval.appendBezierSegment(aCurrentEdge.getControlPointA(), aCurrentEdge.getControlPointB(), aCurrentEdge.getEndPoint()); + } + else + { + if(bHandleStraightEdges) + { + for(sal_uInt32 b(nSubEdges); b > 1; b--) + { + const double fSplitPoint(1.0 / b); + const B2DPoint aSplitPoint(interpolate(aCurrentEdge.getStartPoint(), aCurrentEdge.getEndPoint(), fSplitPoint)); + + aRetval.append(aSplitPoint); + aCurrentEdge.setStartPoint(aSplitPoint); + } + } + + // copy remaining segment to target + aRetval.append(aCurrentEdge.getEndPoint()); + } + + // prepare next step + aCurrentEdge.setStartPoint(aCurrentEdge.getEndPoint()); + } + + // copy closed flag and return + aRetval.setClosed(rCandidate.isClosed()); + return aRetval; + } + } + + B2DPolygon interpolate(const B2DPolygon& rOld1, const B2DPolygon& rOld2, double t) + { + OSL_ENSURE(rOld1.count() == rOld2.count(), "B2DPolygon interpolate: Different geometry (!)"); + + if(fTools::lessOrEqual(t, 0.0) || rOld1 == rOld2) + { + return rOld1; + } + else if(fTools::moreOrEqual(t, 1.0)) + { + return rOld2; + } + else + { + B2DPolygon aRetval; + const bool bInterpolateVectors(rOld1.areControlPointsUsed() || rOld2.areControlPointsUsed()); + aRetval.setClosed(rOld1.isClosed() && rOld2.isClosed()); + + for(sal_uInt32 a(0L); a < rOld1.count(); a++) + { + aRetval.append(interpolate(rOld1.getB2DPoint(a), rOld2.getB2DPoint(a), t)); + + if(bInterpolateVectors) + { + aRetval.setPrevControlPoint(a, interpolate(rOld1.getPrevControlPoint(a), rOld2.getPrevControlPoint(a), t)); + aRetval.setNextControlPoint(a, interpolate(rOld1.getNextControlPoint(a), rOld2.getNextControlPoint(a), t)); + } + } + + return aRetval; + } + } + + bool isPolyPolygonEqualRectangle( const B2DPolyPolygon& rPolyPoly, + const B2DRange& rRect ) + { + // exclude some cheap cases first + if( rPolyPoly.count() != 1 ) + return false; + + // fill array with rectangle vertices + const B2DPoint aPoints[] = + { + B2DPoint(rRect.getMinX(),rRect.getMinY()), + B2DPoint(rRect.getMaxX(),rRect.getMinY()), + B2DPoint(rRect.getMaxX(),rRect.getMaxY()), + B2DPoint(rRect.getMinX(),rRect.getMaxY()) + }; + + const B2DPolygon& rPoly( rPolyPoly.getB2DPolygon(0) ); + const sal_uInt32 nCount( rPoly.count() ); + const double epsilon = ::std::numeric_limits<double>::epsilon(); + + for(unsigned int j=0; j<4; ++j) + { + const B2DPoint &p1 = aPoints[j]; + const B2DPoint &p2 = aPoints[(j+1)%4]; + bool bPointOnBoundary = false; + for( sal_uInt32 i=0; i<nCount; ++i ) + { + const B2DPoint p(rPoly.getB2DPoint(i)); + + // 1 | x0 y0 1 | + // A = - | x1 y1 1 | + // 2 | x2 y2 1 | + double fDoubleArea = p2.getX()*p.getY() - + p2.getY()*p.getX() - + p1.getX()*p.getY() + + p1.getY()*p.getX() + + p1.getX()*p2.getY() - + p1.getY()*p2.getX(); + + if(fDoubleArea < epsilon) + { + bPointOnBoundary=true; + break; + } + } + if(!(bPointOnBoundary)) + return false; + } + + return true; + } + + + // create simplified version of the original polygon by + // replacing segments with spikes/loops and self intersections + // by several trivial sub-segments + B2DPolygon createSimplifiedPolygon( const B2DPolygon& rCandidate ) + { + const sal_uInt32 nCount(rCandidate.count()); + + if(nCount && rCandidate.areControlPointsUsed()) + { + const sal_uInt32 nEdgeCount(rCandidate.isClosed() ? nCount : nCount - 1); + B2DPolygon aRetval; + B2DCubicBezier aSegment; + + aSegment.setStartPoint(rCandidate.getB2DPoint(0)); + aRetval.append(aSegment.getStartPoint()); + + for(sal_uInt32 a(0); a < nEdgeCount; a++) + { + // fill edge + const sal_uInt32 nNextIndex((a + 1) % nCount); + aSegment.setControlPointA(rCandidate.getNextControlPoint(a)); + aSegment.setControlPointB(rCandidate.getPrevControlPoint(nNextIndex)); + aSegment.setEndPoint(rCandidate.getB2DPoint(nNextIndex)); + + if(aSegment.isBezier()) + { + double fExtremumPos(0.0); + sal_uInt32 nExtremumCounter(4); + + while(nExtremumCounter-- && aSegment.isBezier() && aSegment.getMinimumExtremumPosition(fExtremumPos)) + { + // split off left, now extremum-free part and append + B2DCubicBezier aLeft; + + aSegment.split(fExtremumPos, &aLeft, &aSegment); + aLeft.testAndSolveTrivialBezier(); + aSegment.testAndSolveTrivialBezier(); + + if(aLeft.isBezier()) + { + aRetval.appendBezierSegment(aLeft.getControlPointA(), aLeft.getControlPointB(), aLeft.getEndPoint()); + } + else + { + aRetval.append(aLeft.getEndPoint()); + } + } + + // append (evtl. reduced) rest of Segment + if(aSegment.isBezier()) + { + aRetval.appendBezierSegment(aSegment.getControlPointA(), aSegment.getControlPointB(), aSegment.getEndPoint()); + } + else + { + aRetval.append(aSegment.getEndPoint()); + } + } + else + { + // simple edge, append end point + aRetval.append(aSegment.getEndPoint()); + } + + // prepare next edge + aSegment.setStartPoint(aSegment.getEndPoint()); + } + + // copy closed flag and check for double points + aRetval.setClosed(rCandidate.isClosed()); + aRetval.removeDoublePoints(); + + return aRetval; + } + else + { + return rCandidate; + } + } + + // #i76891# + B2DPolygon simplifyCurveSegments(const B2DPolygon& rCandidate) + { + const sal_uInt32 nPointCount(rCandidate.count()); + + if(nPointCount && rCandidate.areControlPointsUsed()) + { + // prepare loop + const sal_uInt32 nEdgeCount(rCandidate.isClosed() ? nPointCount : nPointCount - 1); + B2DPolygon aRetval; + B2DCubicBezier aBezier; + aBezier.setStartPoint(rCandidate.getB2DPoint(0)); + + // try to avoid costly reallocations + aRetval.reserve( nEdgeCount+1); + + // add start point + aRetval.append(aBezier.getStartPoint()); + + for(sal_uInt32 a(0L); a < nEdgeCount; a++) + { + // get values for edge + const sal_uInt32 nNextIndex((a + 1) % nPointCount); + aBezier.setEndPoint(rCandidate.getB2DPoint(nNextIndex)); + aBezier.setControlPointA(rCandidate.getNextControlPoint(a)); + aBezier.setControlPointB(rCandidate.getPrevControlPoint(nNextIndex)); + aBezier.testAndSolveTrivialBezier(); + + // still bezier? + if(aBezier.isBezier()) + { + // add edge with control vectors + aRetval.appendBezierSegment(aBezier.getControlPointA(), aBezier.getControlPointB(), aBezier.getEndPoint()); + } + else + { + // add edge + aRetval.append(aBezier.getEndPoint()); + } + + // next point + aBezier.setStartPoint(aBezier.getEndPoint()); + } + + if(rCandidate.isClosed()) + { + // set closed flag, rescue control point and correct last double point + closeWithGeometryChange(aRetval); + } + + return aRetval; + } + else + { + return rCandidate; + } + } + + // makes the given indexed point the new polygon start point. To do that, the points in the + // polygon will be rotated. This is only valid for closed polygons, for non-closed ones + // an assertion will be triggered + B2DPolygon makeStartPoint(const B2DPolygon& rCandidate, sal_uInt32 nIndexOfNewStatPoint) + { + const sal_uInt32 nPointCount(rCandidate.count()); + + if(nPointCount > 2 && nIndexOfNewStatPoint != 0 && nIndexOfNewStatPoint < nPointCount) + { + OSL_ENSURE(rCandidate.isClosed(), "makeStartPoint: only valid for closed polygons (!)"); + B2DPolygon aRetval; + + for(sal_uInt32 a(0); a < nPointCount; a++) + { + const sal_uInt32 nSourceIndex((a + nIndexOfNewStatPoint) % nPointCount); + aRetval.append(rCandidate.getB2DPoint(nSourceIndex)); + + if(rCandidate.areControlPointsUsed()) + { + aRetval.setPrevControlPoint(a, rCandidate.getPrevControlPoint(nSourceIndex)); + aRetval.setNextControlPoint(a, rCandidate.getNextControlPoint(nSourceIndex)); + } + } + + return aRetval; + } + + return rCandidate; + } + + B2DPolygon createEdgesOfGivenLength(const B2DPolygon& rCandidate, double fLength, double fStart, double fEnd) + { + B2DPolygon aRetval; + + if(fLength < 0.0) + { + fLength = 0.0; + } + + if(!fTools::equalZero(fLength)) + { + if(fStart < 0.0) + { + fStart = 0.0; + } + + if(fEnd < 0.0) + { + fEnd = 0.0; + } + + if(fEnd < fStart) + { + fEnd = fStart; + } + + // iterate and consume pieces with fLength. First subdivide to reduce input to line segments + const B2DPolygon aCandidate(rCandidate.areControlPointsUsed() ? rCandidate.getDefaultAdaptiveSubdivision() : rCandidate); + const sal_uInt32 nPointCount(aCandidate.count()); + + if(nPointCount > 1) + { + const bool bEndActive(!fTools::equalZero(fEnd)); + const sal_uInt32 nEdgeCount(aCandidate.isClosed() ? nPointCount : nPointCount - 1); + B2DPoint aCurrent(aCandidate.getB2DPoint(0)); + double fPositionInEdge(fStart); + double fAbsolutePosition(fStart); + + for(sal_uInt32 a(0); a < nEdgeCount; a++) + { + const sal_uInt32 nNextIndex((a + 1) % nPointCount); + const B2DPoint aNext(aCandidate.getB2DPoint(nNextIndex)); + const B2DVector aEdge(aNext - aCurrent); + double fEdgeLength(aEdge.getLength()); + + if(!fTools::equalZero(fEdgeLength)) + { + while(fTools::less(fPositionInEdge, fEdgeLength)) + { + // move position on edge forward as long as on edge + const double fScalar(fPositionInEdge / fEdgeLength); + aRetval.append(aCurrent + (aEdge * fScalar)); + fPositionInEdge += fLength; + + if(bEndActive) + { + fAbsolutePosition += fLength; + + if(fTools::more(fAbsolutePosition, fEnd)) + { + break; + } + } + } + + // substract length of current edge + fPositionInEdge -= fEdgeLength; + } + + if(bEndActive && fTools::more(fAbsolutePosition, fEnd)) + { + break; + } + + // prepare next step + aCurrent = aNext; + } + + // keep closed state + aRetval.setClosed(aCandidate.isClosed()); + } + else + { + // source polygon has only one point, return unchanged + aRetval = aCandidate; + } + } + + return aRetval; + } + + B2DPolygon createWaveline(const B2DPolygon& rCandidate, double fWaveWidth, double fWaveHeight) + { + B2DPolygon aRetval; + + if(fWaveWidth < 0.0) + { + fWaveWidth = 0.0; + } + + if(fWaveHeight < 0.0) + { + fWaveHeight = 0.0; + } + + const bool bHasWidth(!fTools::equalZero(fWaveWidth)); + const bool bHasHeight(!fTools::equalZero(fWaveHeight)); + + if(bHasWidth) + { + if(bHasHeight) + { + // width and height, create waveline. First subdivide to reduce input to line segments + // of WaveWidth. Last segment may be missing. If this turns out to be a problem, it + // may be added here again using the original last point from rCandidate. It may + // also be the case that rCandidate was closed. To simplify things it is handled here + // as if it was opened. + // Result from createEdgesOfGivenLength contains no curved segments, handle as straight + // edges. + const B2DPolygon aEqualLenghEdges(createEdgesOfGivenLength(rCandidate, fWaveWidth)); + const sal_uInt32 nPointCount(aEqualLenghEdges.count()); + + if(nPointCount > 1) + { + // iterate over straight edges, add start point + B2DPoint aCurrent(aEqualLenghEdges.getB2DPoint(0)); + aRetval.append(aCurrent); + + for(sal_uInt32 a(0); a < nPointCount - 1; a++) + { + const sal_uInt32 nNextIndex((a + 1) % nPointCount); + const B2DPoint aNext(aEqualLenghEdges.getB2DPoint(nNextIndex)); + const B2DVector aEdge(aNext - aCurrent); + const B2DVector aPerpendicular(getNormalizedPerpendicular(aEdge)); + const B2DVector aControlOffset((aEdge * 0.467308) - (aPerpendicular * fWaveHeight)); + + // add curve segment + aRetval.appendBezierSegment( + aCurrent + aControlOffset, + aNext - aControlOffset, + aNext); + + // prepare next step + aCurrent = aNext; + } + } + } + else + { + // width but no height -> return original polygon + aRetval = rCandidate; + } + } + else + { + // no width -> no waveline, stay empty and return + } + + return aRetval; + } + + ////////////////////////////////////////////////////////////////////// + // comparators with tolerance for 2D Polygons + + bool equal(const B2DPolygon& rCandidateA, const B2DPolygon& rCandidateB, const double& rfSmallValue) + { + const sal_uInt32 nPointCount(rCandidateA.count()); + + if(nPointCount != rCandidateB.count()) + return false; + + const bool bClosed(rCandidateA.isClosed()); + + if(bClosed != rCandidateB.isClosed()) + return false; + + const bool bAreControlPointsUsed(rCandidateA.areControlPointsUsed()); + + if(bAreControlPointsUsed != rCandidateB.areControlPointsUsed()) + return false; + + for(sal_uInt32 a(0); a < nPointCount; a++) + { + const B2DPoint aPoint(rCandidateA.getB2DPoint(a)); + + if(!aPoint.equal(rCandidateB.getB2DPoint(a), rfSmallValue)) + return false; + + if(bAreControlPointsUsed) + { + const basegfx::B2DPoint aPrev(rCandidateA.getPrevControlPoint(a)); + + if(!aPrev.equal(rCandidateB.getPrevControlPoint(a), rfSmallValue)) + return false; + + const basegfx::B2DPoint aNext(rCandidateA.getNextControlPoint(a)); + + if(!aNext.equal(rCandidateB.getNextControlPoint(a), rfSmallValue)) + return false; + } + } + + return true; + } + + bool equal(const B2DPolygon& rCandidateA, const B2DPolygon& rCandidateB) + { + const double fSmallValue(fTools::getSmallValue()); + + return equal(rCandidateA, rCandidateB, fSmallValue); + } + + // snap points of horizontal or vertical edges to discrete values + B2DPolygon snapPointsOfHorizontalOrVerticalEdges(const B2DPolygon& rCandidate) + { + const sal_uInt32 nPointCount(rCandidate.count()); + + if(nPointCount > 1) + { + // Start by copying the source polygon to get a writeable copy. The closed state is + // copied by aRetval's initialisation, too, so no need to copy it in this method + B2DPolygon aRetval(rCandidate); + + // prepare geometry data. Get rounded from original + B2ITuple aPrevTuple(basegfx::fround(rCandidate.getB2DPoint(nPointCount - 1))); + B2DPoint aCurrPoint(rCandidate.getB2DPoint(0)); + B2ITuple aCurrTuple(basegfx::fround(aCurrPoint)); + + // loop over all points. This will also snap the implicit closing edge + // even when not closed, but that's no problem here + for(sal_uInt32 a(0); a < nPointCount; a++) + { + // get next point. Get rounded from original + const bool bLastRun(a + 1 == nPointCount); + const sal_uInt32 nNextIndex(bLastRun ? 0 : a + 1); + const B2DPoint aNextPoint(rCandidate.getB2DPoint(nNextIndex)); + const B2ITuple aNextTuple(basegfx::fround(aNextPoint)); + + // get the states + const bool bPrevVertical(aPrevTuple.getX() == aCurrTuple.getX()); + const bool bNextVertical(aNextTuple.getX() == aCurrTuple.getX()); + const bool bPrevHorizontal(aPrevTuple.getY() == aCurrTuple.getY()); + const bool bNextHorizontal(aNextTuple.getY() == aCurrTuple.getY()); + const bool bSnapX(bPrevVertical || bNextVertical); + const bool bSnapY(bPrevHorizontal || bNextHorizontal); + + if(bSnapX || bSnapY) + { + const B2DPoint aSnappedPoint( + bSnapX ? aCurrTuple.getX() : aCurrPoint.getX(), + bSnapY ? aCurrTuple.getY() : aCurrPoint.getY()); + + aRetval.setB2DPoint(a, aSnappedPoint); + } + + // prepare next point + if(!bLastRun) + { + aPrevTuple = aCurrTuple; + aCurrPoint = aNextPoint; + aCurrTuple = aNextTuple; + } + } + + return aRetval; + } + else + { + return rCandidate; + } + } + + } // end of namespace tools +} // end of namespace basegfx + +////////////////////////////////////////////////////////////////////////////// +// eof diff --git a/basegfx/source/polygon/b2dpolygontriangulator.cxx b/basegfx/source/polygon/b2dpolygontriangulator.cxx new file mode 100644 index 000000000000..83fcc036c996 --- /dev/null +++ b/basegfx/source/polygon/b2dpolygontriangulator.cxx @@ -0,0 +1,466 @@ +/************************************************************************* + * + * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER. + * + * Copyright 2000, 2010 Oracle and/or its affiliates. + * + * OpenOffice.org - a multi-platform office productivity suite + * + * This file is part of OpenOffice.org. + * + * OpenOffice.org is free software: you can redistribute it and/or modify + * it under the terms of the GNU Lesser General Public License version 3 + * only, as published by the Free Software Foundation. + * + * OpenOffice.org is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU Lesser General Public License version 3 for more details + * (a copy is included in the LICENSE file that accompanied this code). + * + * You should have received a copy of the GNU Lesser General Public License + * version 3 along with OpenOffice.org. If not, see + * <http://www.openoffice.org/license.html> + * for a copy of the LGPLv3 License. + * + ************************************************************************/ + +// MARKER(update_precomp.py): autogen include statement, do not remove +#include "precompiled_basegfx.hxx" +#include <basegfx/polygon/b2dpolygontriangulator.hxx> +#include <osl/diagnose.h> +#include <basegfx/point/b2dpoint.hxx> +#include <basegfx/polygon/b2dpolygon.hxx> +#include <basegfx/vector/b2dvector.hxx> +#include <basegfx/polygon/b2dpolygontools.hxx> +#include <basegfx/polygon/b2dpolypolygontools.hxx> +#include <basegfx/range/b2drange.hxx> +#include <basegfx/numeric/ftools.hxx> + +#include <algorithm> + +////////////////////////////////////////////////////////////////////////////// + +namespace basegfx +{ + namespace + { + class EdgeEntry + { + EdgeEntry* mpNext; + B2DPoint maStart; + B2DPoint maEnd; + double mfAtan2; + + public: + EdgeEntry(const B2DPoint& rStart, const B2DPoint& rEnd) + : mpNext(0L), + maStart(rStart), + maEnd(rEnd), + mfAtan2(0.0) + { + // make sure edge goes down. If horizontal, let it go to the right (left-handed). + bool bSwap(false); + + if(::basegfx::fTools::equal(maStart.getY(), maEnd.getY())) + { + if(maStart.getX() > maEnd.getX()) + { + bSwap = true; + } + } + else if(maStart.getY() > maEnd.getY()) + { + bSwap = true; + } + + if(bSwap) + { + maStart = rEnd; + maEnd = rStart; + } + + mfAtan2 = atan2(maEnd.getY() - maStart.getY(), maEnd.getX() - maStart.getX()); + } + + ~EdgeEntry() + { + } + + bool operator<(const EdgeEntry& rComp) const + { + if(::basegfx::fTools::equal(maStart.getY(), rComp.maStart.getY())) + { + if(::basegfx::fTools::equal(maStart.getX(), rComp.maStart.getX())) + { + // same in x and y -> same start point. Sort emitting vectors from left to right. + return (mfAtan2 > rComp.mfAtan2); + } + + return (maStart.getX() < rComp.maStart.getX()); + } + + return (maStart.getY() < rComp.maStart.getY()); + } + + bool operator==(const EdgeEntry& rComp) const + { + return (maStart.equal(rComp.maStart) && maEnd.equal(rComp.maEnd)); + } + + bool operator!=(const EdgeEntry& rComp) const + { + return !(*this == rComp); + } + + const B2DPoint& getStart() const { return maStart; } + const B2DPoint& getEnd() const { return maEnd; } + + EdgeEntry* getNext() const { return mpNext; } + void setNext(EdgeEntry* pNext) { mpNext = pNext; } + }; + + ////////////////////////////////////////////////////////////////////////////// + + typedef ::std::vector< EdgeEntry > EdgeEntries; + typedef ::std::vector< EdgeEntry* > EdgeEntryPointers; + + ////////////////////////////////////////////////////////////////////////////// + + class Triangulator + { + EdgeEntry* mpList; + EdgeEntries maStartEntries; + EdgeEntryPointers maNewEdgeEntries; + B2DPolygon maResult; + + void handleClosingEdge(const B2DPoint& rStart, const B2DPoint& rEnd); + bool CheckPointInTriangle(EdgeEntry* pEdgeA, EdgeEntry* pEdgeB, const B2DPoint& rTestPoint); + void createTriangle(const B2DPoint& rA, const B2DPoint& rB, const B2DPoint& rC); + + public: + Triangulator(const B2DPolyPolygon& rCandidate); + ~Triangulator(); + + const B2DPolygon getResult() const { return maResult; } + }; + + void Triangulator::handleClosingEdge(const B2DPoint& rStart, const B2DPoint& rEnd) + { + // create an entry, else the comparison might use the wrong edges + EdgeEntry aNew(rStart, rEnd); + EdgeEntry* pCurr = mpList; + EdgeEntry* pPrev = 0L; + + while(pCurr + && pCurr->getStart().getY() <= aNew.getStart().getY() + && *pCurr != aNew) + { + pPrev = pCurr; + pCurr = pCurr->getNext(); + } + + if(pCurr && *pCurr == aNew) + { + // found closing edge, remove + if(pPrev) + { + pPrev->setNext(pCurr->getNext()); + } + else + { + mpList = pCurr->getNext(); + } + } + else + { + // insert closing edge + EdgeEntry* pNew = new EdgeEntry(aNew); + maNewEdgeEntries.push_back(pNew); + pCurr = mpList; + pPrev = 0L; + + while(pCurr && *pCurr < *pNew) + { + pPrev = pCurr; + pCurr = pCurr->getNext(); + } + + if(pPrev) + { + pNew->setNext(pPrev->getNext()); + pPrev->setNext(pNew); + } + else + { + pNew->setNext(mpList); + mpList = pNew; + } + } + } + + bool Triangulator::CheckPointInTriangle(EdgeEntry* pEdgeA, EdgeEntry* pEdgeB, const B2DPoint& rTestPoint) + { + // inside triangle or on edge? + if(tools::isPointInTriangle(pEdgeA->getStart(), pEdgeA->getEnd(), pEdgeB->getEnd(), rTestPoint, true)) + { + // but not on point + if(!rTestPoint.equal(pEdgeA->getEnd()) && !rTestPoint.equal(pEdgeB->getEnd())) + { + // found point in triangle -> split triangle inserting two edges + EdgeEntry* pStart = new EdgeEntry(pEdgeA->getStart(), rTestPoint); + EdgeEntry* pEnd = new EdgeEntry(*pStart); + maNewEdgeEntries.push_back(pStart); + maNewEdgeEntries.push_back(pEnd); + + pStart->setNext(pEnd); + pEnd->setNext(pEdgeA->getNext()); + pEdgeA->setNext(pStart); + + return false; + } + } + + return true; + } + + void Triangulator::createTriangle(const B2DPoint& rA, const B2DPoint& rB, const B2DPoint& rC) + { + maResult.append(rA); + maResult.append(rB); + maResult.append(rC); + } + + // consume as long as there are edges + Triangulator::Triangulator(const B2DPolyPolygon& rCandidate) + : mpList(0L) + { + // add all available edges to the single linked local list which will be sorted + // by Y,X,atan2 when adding nodes + if(rCandidate.count()) + { + for(sal_uInt32 a(0L); a < rCandidate.count(); a++) + { + const B2DPolygon aPolygonCandidate(rCandidate.getB2DPolygon(a)); + const sal_uInt32 nCount(aPolygonCandidate.count()); + + if(nCount > 2L) + { + B2DPoint aPrevPnt(aPolygonCandidate.getB2DPoint(nCount - 1L)); + + for(sal_uInt32 b(0L); b < nCount; b++) + { + B2DPoint aNextPnt(aPolygonCandidate.getB2DPoint(b)); + + if( !aPrevPnt.equal(aNextPnt) ) + { + maStartEntries.push_back(EdgeEntry(aPrevPnt, aNextPnt)); + } + + aPrevPnt = aNextPnt; + } + } + } + + if(maStartEntries.size()) + { + // sort initial list + ::std::sort(maStartEntries.begin(), maStartEntries.end()); + + // insert to own simply linked list + EdgeEntries::iterator aPos(maStartEntries.begin()); + mpList = &(*aPos++); + EdgeEntry* pLast = mpList; + + while(aPos != maStartEntries.end()) + { + EdgeEntry* pEntry = &(*aPos++); + pLast->setNext(pEntry); + pLast = pEntry; + } + } + } + + while(mpList) + { + if(mpList->getNext() && mpList->getNext()->getStart().equal(mpList->getStart())) + { + // next candidate. There are two edges and start point is equal. + // Length is not zero. + EdgeEntry* pEdgeA = mpList; + EdgeEntry* pEdgeB = pEdgeA->getNext(); + + if( pEdgeA->getEnd().equal(pEdgeB->getEnd()) ) + { + // start and end equal -> neutral triangle, delete both + mpList = pEdgeB->getNext(); + } + else + { + const B2DVector aLeft(pEdgeA->getEnd() - pEdgeA->getStart()); + const B2DVector aRight(pEdgeB->getEnd() - pEdgeA->getStart()); + + if(ORIENTATION_NEUTRAL == getOrientation(aLeft, aRight)) + { + // edges are parallel and have different length -> neutral triangle, + // delete both edges and handle closing edge + mpList = pEdgeB->getNext(); + handleClosingEdge(pEdgeA->getEnd(), pEdgeB->getEnd()); + } + else + { + // not parallel, look for points inside + B2DRange aRange(pEdgeA->getStart(), pEdgeA->getEnd()); + aRange.expand(pEdgeB->getEnd()); + EdgeEntry* pTestEdge = pEdgeB->getNext(); + bool bNoPointInTriangle(true); + + // look for start point in triangle + while(bNoPointInTriangle && pTestEdge) + { + if(aRange.getMaxY() < pTestEdge->getStart().getY()) + { + // edge is below test range and edges are sorted -> stop looking + break; + } + else + { + // do not look for edges with same start point, they are sorted and cannot end inside. + if(!pTestEdge->getStart().equal(pEdgeA->getStart())) + { + if(aRange.isInside(pTestEdge->getStart())) + { + bNoPointInTriangle = CheckPointInTriangle(pEdgeA, pEdgeB, pTestEdge->getStart()); + } + } + } + + // next candidate + pTestEdge = pTestEdge->getNext(); + } + + if(bNoPointInTriangle) + { + // look for end point in triange + pTestEdge = pEdgeB->getNext(); + + while(bNoPointInTriangle && pTestEdge) + { + if(aRange.getMaxY() < pTestEdge->getStart().getY()) + { + // edge is below test range and edges are sorted -> stop looking + break; + } + else + { + // do not look for edges with same end point, they are sorted and cannot end inside. + if(!pTestEdge->getEnd().equal(pEdgeA->getStart())) + { + if(aRange.isInside(pTestEdge->getEnd())) + { + bNoPointInTriangle = CheckPointInTriangle(pEdgeA, pEdgeB, pTestEdge->getEnd()); + } + } + } + + // next candidate + pTestEdge = pTestEdge->getNext(); + } + } + + if(bNoPointInTriangle) + { + // create triangle, remove edges, handle closing edge + mpList = pEdgeB->getNext(); + createTriangle(pEdgeA->getStart(), pEdgeB->getEnd(), pEdgeA->getEnd()); + handleClosingEdge(pEdgeA->getEnd(), pEdgeB->getEnd()); + } + } + } + } + else + { + // only one entry at start point, delete it + mpList = mpList->getNext(); + } + } + } + + Triangulator::~Triangulator() + { + EdgeEntryPointers::iterator aIter(maNewEdgeEntries.begin()); + + while(aIter != maNewEdgeEntries.end()) + { + delete (*aIter++); + } + } + + } // end of anonymous namespace +} // end of namespace basegfx + +////////////////////////////////////////////////////////////////////////////// + +namespace basegfx +{ + namespace triangulator + { + B2DPolygon triangulate(const B2DPolygon& rCandidate) + { + B2DPolygon aRetval; + + // subdivide locally (triangulate does not work with beziers), remove double and neutral points + B2DPolygon aCandidate(rCandidate.areControlPointsUsed() ? tools::adaptiveSubdivideByAngle(rCandidate) : rCandidate); + aCandidate.removeDoublePoints(); + aCandidate = tools::removeNeutralPoints(aCandidate); + + if(2L == aCandidate.count()) + { + // candidate IS a triangle, just append + aRetval.append(aCandidate); + } + else if(aCandidate.count() > 2L) + { + if(tools::isConvex(aCandidate)) + { + // polygon is convex, just use a triangle fan + tools::addTriangleFan(aCandidate, aRetval); + } + else + { + // polygon is concave. + const B2DPolyPolygon aCandPolyPoly(aCandidate); + Triangulator aTriangulator(aCandPolyPoly); + aRetval = aTriangulator.getResult(); + } + } + + return aRetval; + } + + B2DPolygon triangulate(const B2DPolyPolygon& rCandidate) + { + B2DPolygon aRetval; + + // subdivide locally (triangulate does not work with beziers) + B2DPolyPolygon aCandidate(rCandidate.areControlPointsUsed() ? tools::adaptiveSubdivideByAngle(rCandidate) : rCandidate); + + if(1L == aCandidate.count()) + { + // single polygon -> single polygon triangulation + const B2DPolygon aSinglePolygon(aCandidate.getB2DPolygon(0L)); + aRetval = triangulate(aSinglePolygon); + } + else + { + Triangulator aTriangulator(aCandidate); + aRetval = aTriangulator.getResult(); + } + + return aRetval; + } + } // end of namespace triangulator +} // end of namespace basegfx + +////////////////////////////////////////////////////////////////////////////// +// eof diff --git a/basegfx/source/polygon/b2dpolypolygon.cxx b/basegfx/source/polygon/b2dpolypolygon.cxx new file mode 100644 index 000000000000..767d2b25ced5 --- /dev/null +++ b/basegfx/source/polygon/b2dpolypolygon.cxx @@ -0,0 +1,380 @@ +/************************************************************************* + * + * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER. + * + * Copyright 2000, 2010 Oracle and/or its affiliates. + * + * OpenOffice.org - a multi-platform office productivity suite + * + * This file is part of OpenOffice.org. + * + * OpenOffice.org is free software: you can redistribute it and/or modify + * it under the terms of the GNU Lesser General Public License version 3 + * only, as published by the Free Software Foundation. + * + * OpenOffice.org is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU Lesser General Public License version 3 for more details + * (a copy is included in the LICENSE file that accompanied this code). + * + * You should have received a copy of the GNU Lesser General Public License + * version 3 along with OpenOffice.org. If not, see + * <http://www.openoffice.org/license.html> + * for a copy of the LGPLv3 License. + * + ************************************************************************/ + +// MARKER(update_precomp.py): autogen include statement, do not remove +#include "precompiled_basegfx.hxx" +#include <basegfx/polygon/b2dpolypolygon.hxx> +#include <osl/diagnose.h> +#include <basegfx/polygon/b2dpolygon.hxx> +#include <basegfx/polygon/b2dpolypolygontools.hxx> +#include <rtl/instance.hxx> +#include <basegfx/matrix/b2dhommatrix.hxx> + +#include <functional> +#include <vector> +#include <algorithm> + +////////////////////////////////////////////////////////////////////////////// + +class ImplB2DPolyPolygon +{ + typedef ::std::vector< basegfx::B2DPolygon > PolygonVector; + + PolygonVector maPolygons; + +public: + ImplB2DPolyPolygon() : maPolygons() + { + } + + ImplB2DPolyPolygon(const basegfx::B2DPolygon& rToBeCopied) : + maPolygons(1,rToBeCopied) + { + } + + bool operator==(const ImplB2DPolyPolygon& rPolygonList) const + { + // same polygon count? + if(maPolygons.size() != rPolygonList.maPolygons.size()) + return false; + + // compare polygon content + if(!(maPolygons == rPolygonList.maPolygons)) + return false; + + return true; + } + + const basegfx::B2DPolygon& getB2DPolygon(sal_uInt32 nIndex) const + { + return maPolygons[nIndex]; + } + + void setB2DPolygon(sal_uInt32 nIndex, const basegfx::B2DPolygon& rPolygon) + { + maPolygons[nIndex] = rPolygon; + } + + void insert(sal_uInt32 nIndex, const basegfx::B2DPolygon& rPolygon, sal_uInt32 nCount) + { + if(nCount) + { + // add nCount copies of rPolygon + PolygonVector::iterator aIndex(maPolygons.begin()); + aIndex += nIndex; + maPolygons.insert(aIndex, nCount, rPolygon); + } + } + + void insert(sal_uInt32 nIndex, const basegfx::B2DPolyPolygon& rPolyPolygon) + { + const sal_uInt32 nCount = rPolyPolygon.count(); + + if(nCount) + { + // add nCount polygons from rPolyPolygon + maPolygons.reserve(maPolygons.size() + nCount); + PolygonVector::iterator aIndex(maPolygons.begin()); + aIndex += nIndex; + + for(sal_uInt32 a(0L); a < nCount; a++) + { + aIndex = maPolygons.insert(aIndex, rPolyPolygon.getB2DPolygon(a)); + aIndex++; + } + } + } + + void remove(sal_uInt32 nIndex, sal_uInt32 nCount) + { + if(nCount) + { + // remove polygon data + PolygonVector::iterator aStart(maPolygons.begin()); + aStart += nIndex; + const PolygonVector::iterator aEnd(aStart + nCount); + + maPolygons.erase(aStart, aEnd); + } + } + + sal_uInt32 count() const + { + return maPolygons.size(); + } + + void setClosed(bool bNew) + { + for(sal_uInt32 a(0L); a < maPolygons.size(); a++) + { + maPolygons[a].setClosed(bNew); + } + } + + void flip() + { + std::for_each( maPolygons.begin(), + maPolygons.end(), + std::mem_fun_ref( &basegfx::B2DPolygon::flip )); + } + + void removeDoublePoints() + { + std::for_each( maPolygons.begin(), + maPolygons.end(), + std::mem_fun_ref( &basegfx::B2DPolygon::removeDoublePoints )); + } + + void transform(const basegfx::B2DHomMatrix& rMatrix) + { + for(sal_uInt32 a(0L); a < maPolygons.size(); a++) + { + maPolygons[a].transform(rMatrix); + } + } + + void makeUnique() + { + std::for_each( maPolygons.begin(), + maPolygons.end(), + std::mem_fun_ref( &basegfx::B2DPolygon::makeUnique )); + } +}; + +////////////////////////////////////////////////////////////////////////////// + +namespace basegfx +{ + namespace { struct DefaultPolyPolygon: public rtl::Static<B2DPolyPolygon::ImplType, + DefaultPolyPolygon> {}; } + + B2DPolyPolygon::B2DPolyPolygon() : + mpPolyPolygon(DefaultPolyPolygon::get()) + { + } + + B2DPolyPolygon::B2DPolyPolygon(const B2DPolyPolygon& rPolyPolygon) : + mpPolyPolygon(rPolyPolygon.mpPolyPolygon) + { + } + + B2DPolyPolygon::B2DPolyPolygon(const B2DPolygon& rPolygon) : + mpPolyPolygon( ImplB2DPolyPolygon(rPolygon) ) + { + } + + B2DPolyPolygon::~B2DPolyPolygon() + { + } + + B2DPolyPolygon& B2DPolyPolygon::operator=(const B2DPolyPolygon& rPolyPolygon) + { + mpPolyPolygon = rPolyPolygon.mpPolyPolygon; + return *this; + } + + void B2DPolyPolygon::makeUnique() + { + mpPolyPolygon.make_unique(); + mpPolyPolygon->makeUnique(); + } + + bool B2DPolyPolygon::operator==(const B2DPolyPolygon& rPolyPolygon) const + { + if(mpPolyPolygon.same_object(rPolyPolygon.mpPolyPolygon)) + return true; + + return ((*mpPolyPolygon) == (*rPolyPolygon.mpPolyPolygon)); + } + + bool B2DPolyPolygon::operator!=(const B2DPolyPolygon& rPolyPolygon) const + { + return !((*this) == rPolyPolygon); + } + + sal_uInt32 B2DPolyPolygon::count() const + { + return mpPolyPolygon->count(); + } + + B2DPolygon B2DPolyPolygon::getB2DPolygon(sal_uInt32 nIndex) const + { + OSL_ENSURE(nIndex < mpPolyPolygon->count(), "B2DPolyPolygon access outside range (!)"); + + return mpPolyPolygon->getB2DPolygon(nIndex); + } + + void B2DPolyPolygon::setB2DPolygon(sal_uInt32 nIndex, const B2DPolygon& rPolygon) + { + OSL_ENSURE(nIndex < mpPolyPolygon->count(), "B2DPolyPolygon access outside range (!)"); + + if(getB2DPolygon(nIndex) != rPolygon) + mpPolyPolygon->setB2DPolygon(nIndex, rPolygon); + } + + bool B2DPolyPolygon::areControlPointsUsed() const + { + for(sal_uInt32 a(0L); a < mpPolyPolygon->count(); a++) + { + const B2DPolygon& rPolygon = mpPolyPolygon->getB2DPolygon(a); + + if(rPolygon.areControlPointsUsed()) + { + return true; + } + } + + return false; + } + + void B2DPolyPolygon::insert(sal_uInt32 nIndex, const B2DPolygon& rPolygon, sal_uInt32 nCount) + { + OSL_ENSURE(nIndex <= mpPolyPolygon->count(), "B2DPolyPolygon Insert outside range (!)"); + + if(nCount) + mpPolyPolygon->insert(nIndex, rPolygon, nCount); + } + + void B2DPolyPolygon::append(const B2DPolygon& rPolygon, sal_uInt32 nCount) + { + if(nCount) + mpPolyPolygon->insert(mpPolyPolygon->count(), rPolygon, nCount); + } + + B2DPolyPolygon B2DPolyPolygon::getDefaultAdaptiveSubdivision() const + { + B2DPolyPolygon aRetval; + + for(sal_uInt32 a(0L); a < mpPolyPolygon->count(); a++) + { + aRetval.append(mpPolyPolygon->getB2DPolygon(a).getDefaultAdaptiveSubdivision()); + } + + return aRetval; + } + + B2DRange B2DPolyPolygon::getB2DRange() const + { + B2DRange aRetval; + + for(sal_uInt32 a(0L); a < mpPolyPolygon->count(); a++) + { + aRetval.expand(mpPolyPolygon->getB2DPolygon(a).getB2DRange()); + } + + return aRetval; + } + + void B2DPolyPolygon::insert(sal_uInt32 nIndex, const B2DPolyPolygon& rPolyPolygon) + { + OSL_ENSURE(nIndex <= mpPolyPolygon->count(), "B2DPolyPolygon Insert outside range (!)"); + + if(rPolyPolygon.count()) + mpPolyPolygon->insert(nIndex, rPolyPolygon); + } + + void B2DPolyPolygon::append(const B2DPolyPolygon& rPolyPolygon) + { + if(rPolyPolygon.count()) + mpPolyPolygon->insert(mpPolyPolygon->count(), rPolyPolygon); + } + + void B2DPolyPolygon::remove(sal_uInt32 nIndex, sal_uInt32 nCount) + { + OSL_ENSURE(nIndex + nCount <= mpPolyPolygon->count(), "B2DPolyPolygon Remove outside range (!)"); + + if(nCount) + mpPolyPolygon->remove(nIndex, nCount); + } + + void B2DPolyPolygon::clear() + { + mpPolyPolygon = DefaultPolyPolygon::get(); + } + + bool B2DPolyPolygon::isClosed() const + { + bool bRetval(true); + + // PolyPOlygon is closed when all contained Polygons are closed or + // no Polygon exists. + for(sal_uInt32 a(0L); bRetval && a < mpPolyPolygon->count(); a++) + { + if(!(mpPolyPolygon->getB2DPolygon(a)).isClosed()) + { + bRetval = false; + } + } + + return bRetval; + } + + void B2DPolyPolygon::setClosed(bool bNew) + { + if(bNew != isClosed()) + mpPolyPolygon->setClosed(bNew); + } + + void B2DPolyPolygon::flip() + { + if(mpPolyPolygon->count()) + { + mpPolyPolygon->flip(); + } + } + + bool B2DPolyPolygon::hasDoublePoints() const + { + bool bRetval(false); + + for(sal_uInt32 a(0L); !bRetval && a < mpPolyPolygon->count(); a++) + { + if((mpPolyPolygon->getB2DPolygon(a)).hasDoublePoints()) + { + bRetval = true; + } + } + + return bRetval; + } + + void B2DPolyPolygon::removeDoublePoints() + { + if(hasDoublePoints()) + mpPolyPolygon->removeDoublePoints(); + } + + void B2DPolyPolygon::transform(const B2DHomMatrix& rMatrix) + { + if(mpPolyPolygon->count() && !rMatrix.isIdentity()) + { + mpPolyPolygon->transform(rMatrix); + } + } +} // end of namespace basegfx + +// eof diff --git a/basegfx/source/polygon/b2dpolypolygoncutter.cxx b/basegfx/source/polygon/b2dpolypolygoncutter.cxx new file mode 100644 index 000000000000..4f9cf3a75f72 --- /dev/null +++ b/basegfx/source/polygon/b2dpolypolygoncutter.cxx @@ -0,0 +1,1014 @@ +/************************************************************************* + * + * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER. + * + * Copyright 2000, 2010 Oracle and/or its affiliates. + * + * OpenOffice.org - a multi-platform office productivity suite + * + * This file is part of OpenOffice.org. + * + * OpenOffice.org is free software: you can redistribute it and/or modify + * it under the terms of the GNU Lesser General Public License version 3 + * only, as published by the Free Software Foundation. + * + * OpenOffice.org is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU Lesser General Public License version 3 for more details + * (a copy is included in the LICENSE file that accompanied this code). + * + * You should have received a copy of the GNU Lesser General Public License + * version 3 along with OpenOffice.org. If not, see + * <http://www.openoffice.org/license.html> + * for a copy of the LGPLv3 License. + * + ************************************************************************/ + +// MARKER(update_precomp.py): autogen include statement, do not remove +#include "precompiled_basegfx.hxx" +#include <osl/diagnose.h> +#include <basegfx/numeric/ftools.hxx> +#include <basegfx/polygon/b2dpolypolygoncutter.hxx> +#include <basegfx/point/b2dpoint.hxx> +#include <basegfx/vector/b2dvector.hxx> +#include <basegfx/polygon/b2dpolygon.hxx> +#include <basegfx/polygon/b2dpolygontools.hxx> +#include <basegfx/polygon/b2dpolygoncutandtouch.hxx> +#include <basegfx/range/b2drange.hxx> +#include <basegfx/polygon/b2dpolypolygontools.hxx> +#include <basegfx/curve/b2dcubicbezier.hxx> +#include <vector> +#include <algorithm> + +////////////////////////////////////////////////////////////////////////////// + +namespace basegfx +{ + namespace + { + ////////////////////////////////////////////////////////////////////////////// + + struct StripHelper + { + B2DRange maRange; + sal_Int32 mnDepth; + B2VectorOrientation meOrinetation; + }; + + ////////////////////////////////////////////////////////////////////////////// + + struct PN + { + public: + B2DPoint maPoint; + sal_uInt32 mnI; + sal_uInt32 mnIP; + sal_uInt32 mnIN; + }; + + ////////////////////////////////////////////////////////////////////////////// + + struct VN + { + public: + B2DVector maPrev; + B2DVector maNext; + + // to have the correct curve segments in the crossover checks, + // it is necessary to keep the original next vectors, too. Else, + // it may happen to use a already switched next vector which + // would interpolate the wrong comparison point + B2DVector maOriginalNext; + }; + + ////////////////////////////////////////////////////////////////////////////// + + struct SN + { + public: + PN* mpPN; + + bool operator<(const SN& rComp) const + { + if(fTools::equal(mpPN->maPoint.getX(), rComp.mpPN->maPoint.getX())) + { + if(fTools::equal(mpPN->maPoint.getY(), rComp.mpPN->maPoint.getY())) + { + return (mpPN->mnI < rComp.mpPN->mnI); + } + else + { + return fTools::less(mpPN->maPoint.getY(), rComp.mpPN->maPoint.getY()); + } + } + else + { + return fTools::less(mpPN->maPoint.getX(), rComp.mpPN->maPoint.getX()); + } + } + }; + + ////////////////////////////////////////////////////////////////////////////// + + typedef ::std::vector< PN > PNV; + typedef ::std::vector< VN > VNV; + typedef ::std::vector< SN > SNV; + + ////////////////////////////////////////////////////////////////////////////// + + class solver + { + private: + const B2DPolyPolygon maOriginal; + PNV maPNV; + VNV maVNV; + SNV maSNV; + + unsigned mbIsCurve : 1; + unsigned mbChanged : 1; + + void impAddPolygon(const sal_uInt32 aPos, const B2DPolygon& rGeometry) + { + const sal_uInt32 nCount(rGeometry.count()); + PN aNewPN; + VN aNewVN; + SN aNewSN; + + for(sal_uInt32 a(0); a < nCount; a++) + { + const B2DPoint aPoint(rGeometry.getB2DPoint(a)); + aNewPN.maPoint = aPoint; + aNewPN.mnI = aPos + a; + aNewPN.mnIP = aPos + ((a != 0) ? a - 1 : nCount - 1); + aNewPN.mnIN = aPos + ((a + 1 == nCount) ? 0 : a + 1); + maPNV.push_back(aNewPN); + + if(mbIsCurve) + { + aNewVN.maPrev = rGeometry.getPrevControlPoint(a) - aPoint; + aNewVN.maNext = rGeometry.getNextControlPoint(a) - aPoint; + aNewVN.maOriginalNext = aNewVN.maNext; + maVNV.push_back(aNewVN); + } + + aNewSN.mpPN = &maPNV[maPNV.size() - 1]; + maSNV.push_back(aNewSN); + } + } + + bool impLeftOfEdges(const B2DVector& rVecA, const B2DVector& rVecB, const B2DVector& rTest) + { + // tests if rTest is left of both directed line segments along the line -rVecA, rVecB. Test is + // with border. + if(rVecA.cross(rVecB) > 0.0) + { + // b is left turn seen from a, test if Test is left of both and so inside (left is seeen as inside) + const bool bBoolA(fTools::moreOrEqual(rVecA.cross(rTest), 0.0)); + const bool bBoolB(fTools::lessOrEqual(rVecB.cross(rTest), 0.0)); + + return (bBoolA && bBoolB); + } + else + { + // b is right turn seen from a, test if Test is right of both and so outside (left is seeen as inside) + const bool bBoolA(fTools::lessOrEqual(rVecA.cross(rTest), 0.0)); + const bool bBoolB(fTools::moreOrEqual(rVecB.cross(rTest), 0.0)); + + return (!(bBoolA && bBoolB)); + } + } + + void impSwitchNext(PN& rPNa, PN& rPNb) + { + ::std::swap(rPNa.mnIN, rPNb.mnIN); + + if(mbIsCurve) + { + VN& rVNa = maVNV[rPNa.mnI]; + VN& rVNb = maVNV[rPNb.mnI]; + + ::std::swap(rVNa.maNext, rVNb.maNext); + } + + if(!mbChanged) + { + mbChanged = true; + } + } + + B2DCubicBezier createSegment(const PN& rPN, bool bPrev) const + { + const B2DPoint& rStart(rPN.maPoint); + const B2DPoint& rEnd(maPNV[bPrev ? rPN.mnIP : rPN.mnIN].maPoint); + const B2DVector& rCPA(bPrev ? maVNV[rPN.mnI].maPrev : maVNV[rPN.mnI].maNext); + // Use maOriginalNext, not maNext to create the original (yet unchanged) + // curve segment. Otherwise, this segment would NOT ne correct. + const B2DVector& rCPB(bPrev ? maVNV[maPNV[rPN.mnIP].mnI].maOriginalNext : maVNV[maPNV[rPN.mnIN].mnI].maPrev); + + return B2DCubicBezier(rStart, rStart + rCPA, rEnd + rCPB, rEnd); + } + + void impHandleCommon(PN& rPNa, PN& rPNb) + { + if(mbIsCurve) + { + const B2DCubicBezier aNextA(createSegment(rPNa, false)); + const B2DCubicBezier aPrevA(createSegment(rPNa, true)); + + if(aNextA.equal(aPrevA)) + { + // deadend on A (identical edge) + return; + } + + const B2DCubicBezier aNextB(createSegment(rPNb, false)); + const B2DCubicBezier aPrevB(createSegment(rPNb, true)); + + if(aNextB.equal(aPrevB)) + { + // deadend on B (identical edge) + return; + } + + if(aPrevA.equal(aPrevB)) + { + // common edge in same direction + if(aNextA.equal(aNextB)) + { + // common edge in same direction continues + return; + } + else + { + // common edge in same direction leave + // action is done on enter + return; + } + } + else if(aPrevA.equal(aNextB)) + { + // common edge in opposite direction + if(aNextA.equal(aPrevB)) + { + // common edge in opposite direction continues + return; + } + else + { + // common edge in opposite direction leave + impSwitchNext(rPNa, rPNb); + } + } + else if(aNextA.equal(aNextB)) + { + // common edge in same direction enter + // search leave edge + PN* pPNa2 = &maPNV[rPNa.mnIN]; + PN* pPNb2 = &maPNV[rPNb.mnIN]; + bool bOnEdge(true); + + do + { + const B2DCubicBezier aNextA2(createSegment(*pPNa2, false)); + const B2DCubicBezier aNextB2(createSegment(*pPNb2, false)); + + if(aNextA2.equal(aNextB2)) + { + pPNa2 = &maPNV[pPNa2->mnIN]; + pPNb2 = &maPNV[pPNb2->mnIN]; + } + else + { + bOnEdge = false; + } + } + while(bOnEdge && pPNa2 != &rPNa && pPNa2 != &rPNa); + + if(bOnEdge) + { + // loop over two identical polygon paths + return; + } + else + { + // enter at rPNa, rPNb; leave at pPNa2, pPNb2. No common edges + // at enter/leave. Check for crossover. + const B2DVector aPrevCA(aPrevA.interpolatePoint(0.5) - aPrevA.getStartPoint()); + const B2DVector aNextCA(aNextA.interpolatePoint(0.5) - aNextA.getStartPoint()); + const B2DVector aPrevCB(aPrevB.interpolatePoint(0.5) - aPrevB.getStartPoint()); + const bool bEnter(impLeftOfEdges(aPrevCA, aNextCA, aPrevCB)); + + const B2DCubicBezier aNextA2(createSegment(*pPNa2, false)); + const B2DCubicBezier aPrevA2(createSegment(*pPNa2, true)); + const B2DCubicBezier aNextB2(createSegment(*pPNb2, false)); + const B2DVector aPrevCA2(aPrevA2.interpolatePoint(0.5) - aPrevA2.getStartPoint()); + const B2DVector aNextCA2(aNextA2.interpolatePoint(0.5) - aNextA2.getStartPoint()); + const B2DVector aNextCB2(aNextB2.interpolatePoint(0.5) - aNextB2.getStartPoint()); + const bool bLeave(impLeftOfEdges(aPrevCA2, aNextCA2, aNextCB2)); + + if(bEnter != bLeave) + { + // crossover + impSwitchNext(rPNa, rPNb); + } + } + } + else if(aNextA.equal(aPrevB)) + { + // common edge in opposite direction enter + impSwitchNext(rPNa, rPNb); + } + else + { + // no common edges, check for crossover + const B2DVector aPrevCA(aPrevA.interpolatePoint(0.5) - aPrevA.getStartPoint()); + const B2DVector aNextCA(aNextA.interpolatePoint(0.5) - aNextA.getStartPoint()); + const B2DVector aPrevCB(aPrevB.interpolatePoint(0.5) - aPrevB.getStartPoint()); + const B2DVector aNextCB(aNextB.interpolatePoint(0.5) - aNextB.getStartPoint()); + + const bool bEnter(impLeftOfEdges(aPrevCA, aNextCA, aPrevCB)); + const bool bLeave(impLeftOfEdges(aPrevCA, aNextCA, aNextCB)); + + if(bEnter != bLeave) + { + // crossover + impSwitchNext(rPNa, rPNb); + } + } + } + else + { + const B2DPoint& rNextA(maPNV[rPNa.mnIN].maPoint); + const B2DPoint& rPrevA(maPNV[rPNa.mnIP].maPoint); + + if(rNextA.equal(rPrevA)) + { + // deadend on A + return; + } + + const B2DPoint& rNextB(maPNV[rPNb.mnIN].maPoint); + const B2DPoint& rPrevB(maPNV[rPNb.mnIP].maPoint); + + if(rNextB.equal(rPrevB)) + { + // deadend on B + return; + } + + if(rPrevA.equal(rPrevB)) + { + // common edge in same direction + if(rNextA.equal(rNextB)) + { + // common edge in same direction continues + return; + } + else + { + // common edge in same direction leave + // action is done on enter + return; + } + } + else if(rPrevA.equal(rNextB)) + { + // common edge in opposite direction + if(rNextA.equal(rPrevB)) + { + // common edge in opposite direction continues + return; + } + else + { + // common edge in opposite direction leave + impSwitchNext(rPNa, rPNb); + } + } + else if(rNextA.equal(rNextB)) + { + // common edge in same direction enter + // search leave edge + PN* pPNa2 = &maPNV[rPNa.mnIN]; + PN* pPNb2 = &maPNV[rPNb.mnIN]; + bool bOnEdge(true); + + do + { + const B2DPoint& rNextA2(maPNV[pPNa2->mnIN].maPoint); + const B2DPoint& rNextB2(maPNV[pPNb2->mnIN].maPoint); + + if(rNextA2.equal(rNextB2)) + { + pPNa2 = &maPNV[pPNa2->mnIN]; + pPNb2 = &maPNV[pPNb2->mnIN]; + } + else + { + bOnEdge = false; + } + } + while(bOnEdge && pPNa2 != &rPNa && pPNa2 != &rPNa); + + if(bOnEdge) + { + // loop over two identical polygon paths + return; + } + else + { + // enter at rPNa, rPNb; leave at pPNa2, pPNb2. No common edges + // at enter/leave. Check for crossover. + const B2DPoint& aPointE(rPNa.maPoint); + const B2DVector aPrevAE(rPrevA - aPointE); + const B2DVector aNextAE(rNextA - aPointE); + const B2DVector aPrevBE(rPrevB - aPointE); + + const B2DPoint& aPointL(pPNa2->maPoint); + const B2DVector aPrevAL(maPNV[pPNa2->mnIP].maPoint - aPointL); + const B2DVector aNextAL(maPNV[pPNa2->mnIN].maPoint - aPointL); + const B2DVector aNextBL(maPNV[pPNb2->mnIN].maPoint - aPointL); + + const bool bEnter(impLeftOfEdges(aPrevAE, aNextAE, aPrevBE)); + const bool bLeave(impLeftOfEdges(aPrevAL, aNextAL, aNextBL)); + + if(bEnter != bLeave) + { + // crossover; switch start or end + impSwitchNext(rPNa, rPNb); + } + } + } + else if(rNextA.equal(rPrevB)) + { + // common edge in opposite direction enter + impSwitchNext(rPNa, rPNb); + } + else + { + // no common edges, check for crossover + const B2DPoint& aPoint(rPNa.maPoint); + const B2DVector aPrevA(rPrevA - aPoint); + const B2DVector aNextA(rNextA - aPoint); + const B2DVector aPrevB(rPrevB - aPoint); + const B2DVector aNextB(rNextB - aPoint); + + const bool bEnter(impLeftOfEdges(aPrevA, aNextA, aPrevB)); + const bool bLeave(impLeftOfEdges(aPrevA, aNextA, aNextB)); + + if(bEnter != bLeave) + { + // crossover + impSwitchNext(rPNa, rPNb); + } + } + } + } + + void impSolve() + { + // sort by point to identify common nodes + ::std::sort(maSNV.begin(), maSNV.end()); + + // handle common nodes + const sal_uInt32 nNodeCount(maSNV.size()); + + for(sal_uInt32 a(0); a < nNodeCount - 1; a++) + { + // test a before using it, not after. Also use nPointCount instead of aSortNodes.size() + PN& rPNb = *(maSNV[a].mpPN); + + for(sal_uInt32 b(a + 1); b < nNodeCount && rPNb.maPoint.equal(maSNV[b].mpPN->maPoint); b++) + { + impHandleCommon(rPNb, *maSNV[b].mpPN); + } + } + } + + public: + solver(const B2DPolygon& rOriginal) + : maOriginal(B2DPolyPolygon(rOriginal)), + mbIsCurve(false), + mbChanged(false) + { + const sal_uInt32 nOriginalCount(rOriginal.count()); + + if(nOriginalCount) + { + B2DPolygon aGeometry(tools::addPointsAtCutsAndTouches(rOriginal)); + aGeometry.removeDoublePoints(); + aGeometry = tools::simplifyCurveSegments(aGeometry); + mbIsCurve = aGeometry.areControlPointsUsed(); + + const sal_uInt32 nPointCount(aGeometry.count()); + + // If it's not a pezier polygon, at least four points are needed to create + // a self-intersection. If it's a bezier polygon, the minimum point number + // is two, since with a single point You get a curve, but no self-intersection + if(nPointCount > 3 || (nPointCount > 1 && mbIsCurve)) + { + // reserve space in point, control and sort vector. + maSNV.reserve(nPointCount); + maPNV.reserve(nPointCount); + maVNV.reserve(mbIsCurve ? nPointCount : 0); + + // fill data + impAddPolygon(0, aGeometry); + + // solve common nodes + impSolve(); + } + } + } + + solver(const B2DPolyPolygon& rOriginal) + : maOriginal(rOriginal), + mbIsCurve(false), + mbChanged(false) + { + sal_uInt32 nOriginalCount(maOriginal.count()); + + if(nOriginalCount) + { + B2DPolyPolygon aGeometry(tools::addPointsAtCutsAndTouches(maOriginal, true)); + aGeometry.removeDoublePoints(); + aGeometry = tools::simplifyCurveSegments(aGeometry); + mbIsCurve = aGeometry.areControlPointsUsed(); + nOriginalCount = aGeometry.count(); + + if(nOriginalCount) + { + sal_uInt32 nPointCount(0); + sal_uInt32 a(0); + + // count points + for(a = 0; a < nOriginalCount; a++) + { + const B2DPolygon aCandidate(aGeometry.getB2DPolygon(a)); + const sal_uInt32 nCandCount(aCandidate.count()); + + // If it's not a bezier curve, at least three points would be needed to have a + // topological relevant (not empty) polygon. Since its not known here if trivial + // edges (dead ends) will be kept or sorted out, add non-bezier polygons with + // more than one point. + // For bezier curves, the minimum for defining an area is also one. + if(nCandCount) + { + nPointCount += nCandCount; + } + } + + if(nPointCount) + { + // reserve space in point, control and sort vector. + maSNV.reserve(nPointCount); + maPNV.reserve(nPointCount); + maVNV.reserve(mbIsCurve ? nPointCount : 0); + + // fill data + sal_uInt32 nInsertIndex(0); + + for(a = 0; a < nOriginalCount; a++) + { + const B2DPolygon aCandidate(aGeometry.getB2DPolygon(a)); + const sal_uInt32 nCandCount(aCandidate.count()); + + // use same condition as above, the data vector is + // pre-allocated + if(nCandCount) + { + impAddPolygon(nInsertIndex, aCandidate); + nInsertIndex += nCandCount; + } + } + + // solve common nodes + impSolve(); + } + } + } + } + + B2DPolyPolygon getB2DPolyPolygon() + { + if(mbChanged) + { + B2DPolyPolygon aRetval; + const sal_uInt32 nCount(maPNV.size()); + sal_uInt32 nCountdown(nCount); + + for(sal_uInt32 a(0); nCountdown && a < nCount; a++) + { + PN& rPN = maPNV[a]; + + if(SAL_MAX_UINT32 != rPN.mnI) + { + // unused node, start new part polygon + B2DPolygon aNewPart; + PN* pPNCurr = &rPN; + + do + { + const B2DPoint& rPoint = pPNCurr->maPoint; + aNewPart.append(rPoint); + + if(mbIsCurve) + { + const VN& rVNCurr = maVNV[pPNCurr->mnI]; + + if(!rVNCurr.maPrev.equalZero()) + { + aNewPart.setPrevControlPoint(aNewPart.count() - 1, rPoint + rVNCurr.maPrev); + } + + if(!rVNCurr.maNext.equalZero()) + { + aNewPart.setNextControlPoint(aNewPart.count() - 1, rPoint + rVNCurr.maNext); + } + } + + pPNCurr->mnI = SAL_MAX_UINT32; + nCountdown--; + pPNCurr = &(maPNV[pPNCurr->mnIN]); + } + while(pPNCurr != &rPN && SAL_MAX_UINT32 != pPNCurr->mnI); + + // close and add + aNewPart.setClosed(true); + aRetval.append(aNewPart); + } + } + + return aRetval; + } + else + { + // no change, return original + return maOriginal; + } + } + }; + + ////////////////////////////////////////////////////////////////////////////// + + } // end of anonymous namespace +} // end of namespace basegfx + +////////////////////////////////////////////////////////////////////////////// + +namespace basegfx +{ + namespace tools + { + ////////////////////////////////////////////////////////////////////////////// + + B2DPolyPolygon solveCrossovers(const B2DPolyPolygon& rCandidate) + { + if(rCandidate.count() > 1L) + { + solver aSolver(rCandidate); + return aSolver.getB2DPolyPolygon(); + } + else + { + return rCandidate; + } + } + + ////////////////////////////////////////////////////////////////////////////// + + B2DPolyPolygon solveCrossovers(const B2DPolygon& rCandidate) + { + solver aSolver(rCandidate); + return aSolver.getB2DPolyPolygon(); + } + + ////////////////////////////////////////////////////////////////////////////// + + B2DPolyPolygon stripNeutralPolygons(const B2DPolyPolygon& rCandidate) + { + B2DPolyPolygon aRetval; + + for(sal_uInt32 a(0L); a < rCandidate.count(); a++) + { + const B2DPolygon aCandidate(rCandidate.getB2DPolygon(a)); + + if(ORIENTATION_NEUTRAL != tools::getOrientation(aCandidate)) + { + aRetval.append(aCandidate); + } + } + + return aRetval; + } + + ////////////////////////////////////////////////////////////////////////////// + + B2DPolyPolygon stripDispensablePolygons(const B2DPolyPolygon& rCandidate, bool bKeepAboveZero) + { + const sal_uInt32 nCount(rCandidate.count()); + B2DPolyPolygon aRetval; + + if(nCount) + { + if(nCount == 1L) + { + if(!bKeepAboveZero && ORIENTATION_POSITIVE == tools::getOrientation(rCandidate.getB2DPolygon(0L))) + { + aRetval = rCandidate; + } + } + else + { + sal_uInt32 a, b; + ::std::vector< StripHelper > aHelpers; + aHelpers.resize(nCount); + + for(a = 0L; a < nCount; a++) + { + const B2DPolygon aCandidate(rCandidate.getB2DPolygon(a)); + StripHelper* pNewHelper = &(aHelpers[a]); + pNewHelper->maRange = tools::getRange(aCandidate); + pNewHelper->meOrinetation = tools::getOrientation(aCandidate); + pNewHelper->mnDepth = (ORIENTATION_NEGATIVE == pNewHelper->meOrinetation ? -1L : 0L); + } + + for(a = 0L; a < nCount - 1L; a++) + { + const B2DPolygon aCandA(rCandidate.getB2DPolygon(a)); + StripHelper& rHelperA = aHelpers[a]; + + for(b = a + 1L; b < nCount; b++) + { + const B2DPolygon aCandB(rCandidate.getB2DPolygon(b)); + StripHelper& rHelperB = aHelpers[b]; + const bool bAInB(rHelperB.maRange.isInside(rHelperA.maRange) && tools::isInside(aCandB, aCandA, true)); + const bool bBInA(rHelperA.maRange.isInside(rHelperB.maRange) && tools::isInside(aCandA, aCandB, true)); + + if(bAInB && bBInA) + { + // congruent + if(rHelperA.meOrinetation == rHelperB.meOrinetation) + { + // two polys or two holes. Lower one of them to get one of them out of the way. + // Since each will be contained in the other one, both will be increased, too. + // So, for lowering, increase only one of them + rHelperA.mnDepth++; + } + else + { + // poly and hole. They neutralize, so get rid of both. Move securely below zero. + rHelperA.mnDepth = -((sal_Int32)nCount); + rHelperB.mnDepth = -((sal_Int32)nCount); + } + } + else + { + if(bAInB) + { + if(ORIENTATION_NEGATIVE == rHelperB.meOrinetation) + { + rHelperA.mnDepth--; + } + else + { + rHelperA.mnDepth++; + } + } + else if(bBInA) + { + if(ORIENTATION_NEGATIVE == rHelperA.meOrinetation) + { + rHelperB.mnDepth--; + } + else + { + rHelperB.mnDepth++; + } + } + } + } + } + + for(a = 0L; a < nCount; a++) + { + const StripHelper& rHelper = aHelpers[a]; + bool bAcceptEntry(bKeepAboveZero ? 1L <= rHelper.mnDepth : 0L == rHelper.mnDepth); + + if(bAcceptEntry) + { + aRetval.append(rCandidate.getB2DPolygon(a)); + } + } + } + } + + return aRetval; + } + + ////////////////////////////////////////////////////////////////////////////// + + B2DPolyPolygon prepareForPolygonOperation(const B2DPolygon& rCandidate) + { + solver aSolver(rCandidate); + B2DPolyPolygon aRetval(stripNeutralPolygons(aSolver.getB2DPolyPolygon())); + + return correctOrientations(aRetval); + } + + B2DPolyPolygon prepareForPolygonOperation(const B2DPolyPolygon& rCandidate) + { + solver aSolver(rCandidate); + B2DPolyPolygon aRetval(stripNeutralPolygons(aSolver.getB2DPolyPolygon())); + + return correctOrientations(aRetval); + } + + B2DPolyPolygon solvePolygonOperationOr(const B2DPolyPolygon& rCandidateA, const B2DPolyPolygon& rCandidateB) + { + if(!rCandidateA.count()) + { + return rCandidateB; + } + else if(!rCandidateB.count()) + { + return rCandidateA; + } + else + { + // concatenate polygons, solve crossovers and throw away all sub-polygons + // which have a depth other than 0. + B2DPolyPolygon aRetval(rCandidateA); + + aRetval.append(rCandidateB); + aRetval = solveCrossovers(aRetval); + aRetval = stripNeutralPolygons(aRetval); + + return stripDispensablePolygons(aRetval, false); + } + } + + B2DPolyPolygon solvePolygonOperationXor(const B2DPolyPolygon& rCandidateA, const B2DPolyPolygon& rCandidateB) + { + if(!rCandidateA.count()) + { + return rCandidateB; + } + else if(!rCandidateB.count()) + { + return rCandidateA; + } + else + { + // XOR is pretty simple: By definition it is the simple concatenation of + // the single polygons since we imply XOR fill rule. Make it intersection-free + // and correct orientations + B2DPolyPolygon aRetval(rCandidateA); + + aRetval.append(rCandidateB); + aRetval = solveCrossovers(aRetval); + aRetval = stripNeutralPolygons(aRetval); + + return correctOrientations(aRetval); + } + } + + B2DPolyPolygon solvePolygonOperationAnd(const B2DPolyPolygon& rCandidateA, const B2DPolyPolygon& rCandidateB) + { + if(!rCandidateA.count()) + { + return B2DPolyPolygon(); + } + else if(!rCandidateB.count()) + { + return B2DPolyPolygon(); + } + else + { + // concatenate polygons, solve crossovers and throw away all sub-polygons + // with a depth of < 1. This means to keep all polygons where at least two + // polygons do overlap. + B2DPolyPolygon aRetval(rCandidateA); + + aRetval.append(rCandidateB); + aRetval = solveCrossovers(aRetval); + aRetval = stripNeutralPolygons(aRetval); + + return stripDispensablePolygons(aRetval, true); + } + } + + B2DPolyPolygon solvePolygonOperationDiff(const B2DPolyPolygon& rCandidateA, const B2DPolyPolygon& rCandidateB) + { + if(!rCandidateA.count()) + { + return B2DPolyPolygon(); + } + else if(!rCandidateB.count()) + { + return rCandidateA; + } + else + { + // Make B topologically to holes and append to A + B2DPolyPolygon aRetval(rCandidateB); + + aRetval.flip(); + aRetval.append(rCandidateA); + + // solve crossovers and throw away all sub-polygons which have a + // depth other than 0. + aRetval = basegfx::tools::solveCrossovers(aRetval); + aRetval = basegfx::tools::stripNeutralPolygons(aRetval); + + return basegfx::tools::stripDispensablePolygons(aRetval, false); + } + } + + B2DPolyPolygon mergeToSinglePolyPolygon(const std::vector< basegfx::B2DPolyPolygon >& rInput) + { + std::vector< basegfx::B2DPolyPolygon > aInput(rInput); + + // first step: prepareForPolygonOperation and simple merge of non-overlapping + // PolyPolygons for speedup; this is possible for the wanted OR-operation + if(aInput.size()) + { + std::vector< basegfx::B2DPolyPolygon > aResult; + aResult.reserve(aInput.size()); + + for(sal_uInt32 a(0); a < aInput.size(); a++) + { + const basegfx::B2DPolyPolygon aCandidate(prepareForPolygonOperation(aInput[a])); + + if(aResult.size()) + { + const B2DRange aCandidateRange(aCandidate.getB2DRange()); + bool bCouldMergeSimple(false); + + for(sal_uInt32 b(0); !bCouldMergeSimple && b < aResult.size(); b++) + { + basegfx::B2DPolyPolygon aTarget(aResult[b]); + const B2DRange aTargetRange(aTarget.getB2DRange()); + + if(!aCandidateRange.overlaps(aTargetRange)) + { + aTarget.append(aCandidate); + aResult[b] = aTarget; + bCouldMergeSimple = true; + } + } + + if(!bCouldMergeSimple) + { + aResult.push_back(aCandidate); + } + } + else + { + aResult.push_back(aCandidate); + } + } + + aInput = aResult; + } + + // second step: melt pairwise to a single PolyPolygon + while(aInput.size() > 1) + { + std::vector< basegfx::B2DPolyPolygon > aResult; + aResult.reserve((aInput.size() / 2) + 1); + + for(sal_uInt32 a(0); a < aInput.size(); a += 2) + { + if(a + 1 < aInput.size()) + { + // a pair for processing + aResult.push_back(solvePolygonOperationOr(aInput[a], aInput[a + 1])); + } + else + { + // last single PolyPolygon; copy to target to not lose it + aResult.push_back(aInput[a]); + } + } + + aInput = aResult; + } + + // third step: get result + if(1 == aInput.size()) + { + return aInput[0]; + } + + return B2DPolyPolygon(); + } + + ////////////////////////////////////////////////////////////////////////////// + + } // end of namespace tools +} // end of namespace basegfx + +////////////////////////////////////////////////////////////////////////////// +// eof diff --git a/basegfx/source/polygon/b2dpolypolygonrasterconverter.cxx b/basegfx/source/polygon/b2dpolypolygonrasterconverter.cxx new file mode 100644 index 000000000000..b795c04e158e --- /dev/null +++ b/basegfx/source/polygon/b2dpolypolygonrasterconverter.cxx @@ -0,0 +1,702 @@ +/************************************************************************* + * + * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER. + * + * Copyright 2000, 2010 Oracle and/or its affiliates. + * + * OpenOffice.org - a multi-platform office productivity suite + * + * This file is part of OpenOffice.org. + * + * OpenOffice.org is free software: you can redistribute it and/or modify + * it under the terms of the GNU Lesser General Public License version 3 + * only, as published by the Free Software Foundation. + * + * OpenOffice.org is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU Lesser General Public License version 3 for more details + * (a copy is included in the LICENSE file that accompanied this code). + * + * You should have received a copy of the GNU Lesser General Public License + * version 3 along with OpenOffice.org. If not, see + * <http://www.openoffice.org/license.html> + * for a copy of the LGPLv3 License. + * + ************************************************************************/ + +// MARKER(update_precomp.py): autogen include statement, do not remove +#include "precompiled_basegfx.hxx" + +#include <basegfx/polygon/b2dpolypolygonrasterconverter.hxx> + +#include <basegfx/numeric/ftools.hxx> +#include <basegfx/polygon/b2dpolygon.hxx> +#include <basegfx/polygon/b2dpolygontools.hxx> +#include <basegfx/polygon/b2dpolypolygontools.hxx> + +#include <boost/mem_fn.hpp> + +#include <algorithm> + +namespace basegfx +{ + class radixSort { + + //! public interface + public: + + //! default constructor + radixSort( void ); + + //! destructor + ~radixSort( void ); + + bool sort( const float *pInput, sal_uInt32 nNumElements, sal_uInt32 dwStride ); + + inline sal_uInt32 *indices( void ) const { return m_indices1; } + + //! private attributes + private: + + // current size of index list + sal_uInt32 m_current_size; + + // last known size of index list + sal_uInt32 m_previous_size; + + // index lists + sal_uInt32 *m_indices1; + sal_uInt32 *m_indices2; + + sal_uInt32 m_counter[256*4]; + sal_uInt32 m_offset[256]; + + //! private methods + private: + + bool resize( sal_uInt32 nNumElements ); + inline void reset_indices( void ); + bool prepareCounters( const float *pInput, sal_uInt32 nNumElements, sal_uInt32 dwStride ); + }; + + inline radixSort::radixSort( void ) { + + m_indices1 = NULL; + m_indices2 = NULL; + m_current_size = 0; + m_previous_size = 0; + + reset_indices(); + } + + inline radixSort::~radixSort( void ) { + + delete [] m_indices2; + delete [] m_indices1; + } + + bool radixSort::resize( sal_uInt32 nNumElements ) { + + if(nNumElements==m_previous_size) + return true; + + if(nNumElements > m_current_size) { + + // release index lists + if(m_indices2) + delete [] m_indices2; + if(m_indices1) + delete [] m_indices1; + + // allocate new index lists + m_indices1 = new sal_uInt32[nNumElements]; + m_indices2 = new sal_uInt32[nNumElements]; + + // check for out of memory situation + if(!m_indices1 || !m_indices2) { + delete [] m_indices1; + delete [] m_indices2; + m_indices1 = NULL; + m_indices2 = NULL; + m_current_size = 0; + return false; + } + + m_current_size = nNumElements; + } + + m_previous_size = nNumElements; + + // initialize indices + reset_indices(); + + return true; + } + + inline void radixSort::reset_indices( void ) { + + for(sal_uInt32 i=0;i<m_current_size;i++) + m_indices1[i] = i; + } + + bool radixSort::prepareCounters( const float *pInput, sal_uInt32 nNumElements, sal_uInt32 dwStride ) { + + // clear counters + sal_uInt32 *ptr = m_counter; + for(int i=0; i<64; ++i) + { + *ptr++ = 0; + *ptr++ = 0; + *ptr++ = 0; + *ptr++ = 0; + *ptr++ = 0; + *ptr++ = 0; + *ptr++ = 0; + *ptr++ = 0; + *ptr++ = 0; + *ptr++ = 0; + *ptr++ = 0; + *ptr++ = 0; + *ptr++ = 0; + *ptr++ = 0; + *ptr++ = 0; + *ptr++ = 0; + } + + // prepare pointers to relevant memory addresses + sal_uInt8 *p = (sal_uInt8*)pInput; + sal_uInt8 *pe = p+(nNumElements*dwStride); + sal_uInt32 *h0= &m_counter[0]; + sal_uInt32 *h1= &m_counter[256]; + sal_uInt32 *h2= &m_counter[512]; + sal_uInt32 *h3= &m_counter[768]; + + sal_uInt32 *Indices = m_indices1; + float previous_value = *(float *)(((sal_uInt8 *)pInput)+(m_indices1[0]*dwStride)); + bool bSorted = true; + while(p!=pe) { + float value = *(float *)(((sal_uInt8 *)pInput)+((*Indices++)*dwStride)); + if(value<previous_value) { + bSorted = false; + break; + } + previous_value = value; + h0[*p++]++; + h1[*p++]++; + h2[*p++]++; + h3[*p++]++; + p += dwStride-4; + } + if(bSorted) + return true; + while(p!=pe) { + h0[*p++]++; + h1[*p++]++; + h2[*p++]++; + h3[*p++]++; + p += dwStride-4; + } + return false; + } + + bool radixSort::sort( const float *pInput, sal_uInt32 nNumElements, sal_uInt32 dwStride ) { + + if(!(pInput)) + return false; + if(!(nNumElements)) + return false; + if(!(resize(nNumElements))) + return false; + + // prepare radix counters, return if already sorted + if(prepareCounters(pInput,nNumElements,dwStride)) + return true; + + // count number of negative values + sal_uInt32 num_negatives = 0; + sal_uInt32 *h3= &m_counter[768]; + for(sal_uInt32 i=128;i<256;i++) + num_negatives += h3[i]; + + // perform passes, one for each byte + for(sal_uInt32 j=0;j<4;j++) { + + // ignore this pass if all values have the same byte + bool bRun = true; + sal_uInt32 *current_counter = &m_counter[j<<8]; + sal_uInt8 unique_value = *(((sal_uInt8*)pInput)+j); + if(current_counter[unique_value]==nNumElements) + bRun=false; + + // does the incoming byte contain the sign bit? + sal_uInt32 i; + if(j!=3) { + if(bRun) { + m_offset[0] = 0; + for(i=1;i<256;i++) + m_offset[i] = m_offset[i-1] + current_counter[i-1]; + sal_uInt8 *InputBytes = (sal_uInt8 *)pInput; + sal_uInt32 *Indices = m_indices1; + sal_uInt32 *IndicesEnd = &m_indices1[nNumElements]; + InputBytes += j; + while(Indices!=IndicesEnd) { + sal_uInt32 id = *Indices++; + m_indices2[m_offset[InputBytes[id*dwStride]]++] = id; + } + sal_uInt32 *Tmp = m_indices1; + m_indices1 = m_indices2; + m_indices2 = Tmp; + } + } + else { + if(bRun) { + m_offset[0] = num_negatives; + for(i=1;i<128;i++) + m_offset[i] = m_offset[i-1] + current_counter[i-1]; + m_offset[255] = 0; + for(i=0;i<127;i++) + m_offset[254-i] = m_offset[255-i] + current_counter[255-i]; + for(i=128;i<256;i++) + m_offset[i] += current_counter[i]; + for(i=0;i<nNumElements;i++) { + sal_uInt32 Radix = (*(sal_uInt32 *)(((sal_uInt8 *)pInput)+(m_indices1[i]*dwStride)))>>24; + if(Radix<128) m_indices2[m_offset[Radix]++] = m_indices1[i]; + else m_indices2[--m_offset[Radix]] = m_indices1[i]; + } + sal_uInt32 *Tmp = m_indices1; + m_indices1 = m_indices2; + m_indices2 = Tmp; + } + else { + if(unique_value>=128) { + for(i=0;i<nNumElements;i++) + m_indices2[i] = m_indices1[nNumElements-i-1]; + sal_uInt32 *Tmp = m_indices1; + m_indices1 = m_indices2; + m_indices2 = Tmp; + } + } + } + } + + return true; + } + + //************************************************************ + // Internal vertex storage of B2DPolyPolygonRasterConverter + //************************************************************ + + inline B2DPolyPolygonRasterConverter::Vertex::Vertex() : + aP1(), + aP2(), + bDownwards( true ) + { + } + + inline B2DPolyPolygonRasterConverter::Vertex::Vertex( const B2DPoint& rP1, const B2DPoint& rP2, bool bDown ) : + aP1( rP1 ), + aP2( rP2 ), + bDownwards( bDown ) + { + } + + + //************************************************************ + // Helper class for holding horizontal line segments during raster + // conversion + //************************************************************ + + namespace + { + class ImplLineNode + { + public: + sal_Int32 mnYCounter; + float mfXPos; + float mfXDelta; + bool mbDownwards; + + public: + /**rP1 and rP2 must not have equal y values, when rounded + to integer! + */ + ImplLineNode(const B2DPoint& rP1, const B2DPoint& rP2, bool bDown) : + mnYCounter( fround(rP2.getY()) - fround(rP1.getY()) ), + mfXPos( (float)(rP1.getX()) ), + mfXDelta((float) ((rP2.getX() - rP1.getX()) / mnYCounter) ), + mbDownwards( bDown ) + { + } + + /// get current x position + const float& getXPos() const + { + return mfXPos; + } + + /// returns true, if line ends on this Y value + float nextLine() + { + if(mnYCounter>=0) + { + // go one step in Y + mfXPos += mfXDelta; + --mnYCounter; + return mfXDelta; + } + + return 0.0f; + } + + bool isEnded() + { + return mnYCounter<=0; + } + + bool isDownwards() + { + return mbDownwards; + } + }; + } + + typedef ::std::vector<ImplLineNode> VectorOfLineNodes; + + + //************************************************************ + // Base2D PolyPolygon Raster Converter (Rasterizer) + //************************************************************ + + namespace + { + struct VertexComparator + { + bool operator()( const B2DPolyPolygonRasterConverter::Vertex& rLHS, + const B2DPolyPolygonRasterConverter::Vertex& rRHS ) + { + return rLHS.aP1.getX() < rRHS.aP1.getX(); + } + }; + } + + void B2DPolyPolygonRasterConverter::init() + { + if(!maPolyPolyRectangle.isEmpty()) + { + const sal_Int32 nMinY( fround(maPolyPolyRectangle.getMinY()) ); + const sal_Int32 nScanlines(fround(maPolyPolyRectangle.getMaxY()) - nMinY); + + maScanlines.resize( nScanlines+1 ); + + // add all polygons + for( sal_uInt32 i(0), nCount(maPolyPolygon.count()); + i < nCount; + ++i ) + { + // add all vertices + const B2DPolygon& rPoly( maPolyPolygon.getB2DPolygon(i) ); + for( sal_uInt32 k(0), nVertices(rPoly.count()); + k<nVertices; + ++k ) + { + const B2DPoint& rP1( rPoly.getB2DPoint(k) ); + const B2DPoint& rP2( rPoly.getB2DPoint( (k + 1) % nVertices ) ); + + const sal_Int32 nVertexYP1( fround(rP1.getY()) ); + const sal_Int32 nVertexYP2( fround(rP2.getY()) ); + + // insert only vertices which are not strictly + // horizontal. Note that the ImplLineNode relies on + // this. + if(nVertexYP1 != nVertexYP2) + { + if( nVertexYP2 < nVertexYP1 ) + { + const sal_Int32 nStartScanline(nVertexYP2 - nMinY); + + // swap edges + maScanlines[ nStartScanline ].push_back( Vertex(rP2, rP1, false) ); + } + else + { + const sal_Int32 nStartScanline(nVertexYP1 - nMinY); + + maScanlines[ nStartScanline ].push_back( Vertex(rP1, rP2, true) ); + } + } + } + } + + // now sort all scanlines, with increasing x coordinates + VectorOfVertexVectors::iterator aIter( maScanlines.begin() ); + VectorOfVertexVectors::iterator aEnd( maScanlines.end() ); + while( aIter != aEnd ) + { + ::std::sort( aIter->begin(), + aIter->end(), + VertexComparator() ); + ++aIter; + } + } + } + + B2DPolyPolygonRasterConverter::B2DPolyPolygonRasterConverter( const B2DPolyPolygon& rPolyPoly ) : + maPolyPolygon( rPolyPoly ), + maPolyPolyRectangle( tools::getRange( rPolyPoly ) ), + maScanlines() + { + init(); + } + + namespace + { + B2DRectangle getCombinedBounds( const B2DPolyPolygon& rPolyPolyRaster, + const B2DRectangle& rRasterArea ) + { + B2DRectangle aRect( tools::getRange( rPolyPolyRaster ) ); + aRect.expand( rRasterArea ); + + return aRect; + } + } + + B2DPolyPolygonRasterConverter::B2DPolyPolygonRasterConverter( const B2DPolyPolygon& rPolyPolyRaster, + const B2DRectangle& rRasterArea ) : + maPolyPolygon( rPolyPolyRaster ), + maPolyPolyRectangle( + getCombinedBounds( rPolyPolyRaster, + rRasterArea ) ), + maScanlines() + { + init(); + } + + B2DPolyPolygonRasterConverter::~B2DPolyPolygonRasterConverter() + { + } + + namespace + { + class LineNodeGenerator + { + public: + LineNodeGenerator( VectorOfLineNodes& rActiveVertices ) : + mrActiveVertices( rActiveVertices ) + { + } + + void operator()( const B2DPolyPolygonRasterConverter::Vertex& rVertex ) + { + mrActiveVertices.push_back( ImplLineNode(rVertex.aP1, + rVertex.aP2, + rVertex.bDownwards) ); + } + + private: + VectorOfLineNodes& mrActiveVertices; + }; + + struct LineNodeComparator + { + bool operator()( const ImplLineNode& rLHS, const ImplLineNode& rRHS ) + { + return rLHS.getXPos() < rRHS.getXPos(); + } + }; + } + + void B2DPolyPolygonRasterConverter::rasterConvert( FillRule eFillRule ) + { + if( maScanlines.empty() ) + return; // no scanlines at all -> bail out + + const sal_Int32 nMinY( fround(maPolyPolyRectangle.getMinY()) ); + const sal_Int32 nScanlines(fround(maPolyPolyRectangle.getMaxY()) - nMinY); + + // Vector of currently active vertices. A vertex is active, if + // it crosses or touches the current scanline. + VectorOfLineNodes aActiveVertices; + + // mickey's optimized version... + radixSort rs; + std::size_t nb(0); + std::size_t nb_previous(0); + bool bSort(false); + + // process each scanline + for( sal_Int32 y(0); y <= nScanlines; ++y ) + { + // add vertices which start at current scanline into + // active vertex vector + ::std::for_each( maScanlines[y].begin(), + maScanlines[y].end(), + LineNodeGenerator( aActiveVertices ) ); + nb = aActiveVertices.size(); + if(nb != nb_previous) + { + nb_previous = nb; + bSort = true; + } + + // sort with increasing X + if(bSort) + { + bSort = false; + + if( nb ) + { + rs.sort(&aActiveVertices[0].mfXPos, + nb, + sizeof(ImplLineNode)); + } + } + + const std::size_t nLen( nb ); + if( !nLen ) + { + // empty scanline - call derived with an 'off' span + // for the full width + span( maPolyPolyRectangle.getMinX(), + maPolyPolyRectangle.getMaxX(), + nMinY + y, + false ); + } + else + { + const sal_Int32 nCurrY( nMinY + y ); + + // scanline not empty - forward all scans to derived, + // according to selected fill rule + + // TODO(P1): Maybe allow these 'off' span calls to be + // switched off (or all 'on' span calls, depending on + // use case scenario) + + // sorting didn't change the order of the elements + // in memory but prepared a list of indices in sorted order. + // thus we now process the nodes with an additional indirection. + sal_uInt32 *sorted = rs.indices(); + + // call derived with 'off' span for everything left of first active span + if( aActiveVertices[sorted[0]].getXPos() > maPolyPolyRectangle.getMinX() ) + { + span( maPolyPolyRectangle.getMinX(), + aActiveVertices[sorted[0]].getXPos(), + nCurrY, + false ); + } + + switch( eFillRule ) + { + default: + OSL_ENSURE(false, + "B2DPolyPolygonRasterConverter::rasterConvert(): Unexpected fill rule"); + return; + + case FillRule_EVEN_ODD: + // process each span in current scanline, with + // even-odd fill rule + for( ::std::size_t i(0), nLength(aActiveVertices.size()); + i+1 < nLength; + ++i ) + { + sal_uInt32 nIndex = sorted[i]; + sal_uInt32 nNextIndex = sorted[i+1]; + span( aActiveVertices[nIndex].getXPos(), + aActiveVertices[nNextIndex].getXPos(), + nCurrY, + i % 2 == 0 ); + + float delta = aActiveVertices[nIndex].nextLine(); + if(delta > 0.0f) + { + if(aActiveVertices[nIndex].getXPos() > aActiveVertices[nNextIndex].getXPos()) + bSort = true; + } + else if(delta < 0.0f) + { + if(i) + { + sal_uInt32 nPrevIndex = sorted[i-1]; + if(aActiveVertices[nIndex].getXPos() < aActiveVertices[nPrevIndex].getXPos()) + bSort = true; + } + } + } + break; + + case FillRule_NONZERO_WINDING_NUMBER: + // process each span in current scanline, with + // non-zero winding numbe fill rule + sal_Int32 nWindingNumber(0); + for( ::std::size_t i(0), nLength(aActiveVertices.size()); + i+1 < nLength; + ++i ) + { + sal_uInt32 nIndex = sorted[i]; + sal_uInt32 nNextIndex = sorted[i+1]; + nWindingNumber += -1 + 2*aActiveVertices[nIndex].isDownwards(); + + span( aActiveVertices[nIndex].getXPos(), + aActiveVertices[nNextIndex].getXPos(), + nCurrY, + nWindingNumber != 0 ); + + float delta = aActiveVertices[nIndex].nextLine(); + if(delta > 0.0f) + { + if(aActiveVertices[nIndex].getXPos() > aActiveVertices[nNextIndex].getXPos()) + bSort = true; + } + else if(delta < 0.0f) + { + if(i) + { + sal_uInt32 nPrevIndex = sorted[i-1]; + if(aActiveVertices[nIndex].getXPos() < aActiveVertices[nPrevIndex].getXPos()) + bSort = true; + } + } + } + break; + } + + // call derived with 'off' span for everything right of last active span + if( aActiveVertices[sorted[nb-1]].getXPos()+1.0 < maPolyPolyRectangle.getMaxX() ) + { + span( aActiveVertices[sorted[nb-1]].getXPos()+1.0, + maPolyPolyRectangle.getMaxX(), + nCurrY, + false ); + } + + // also call nextLine on very last line node + sal_uInt32 nIndex = sorted[nb-1]; + float delta = aActiveVertices[nIndex].nextLine(); + if(delta < 0.0f) + { + if(nb) + { + sal_uInt32 nPrevIndex = sorted[nb-2]; + if(aActiveVertices[nIndex].getXPos() < aActiveVertices[nPrevIndex].getXPos()) + bSort = true; + } + } + } + + // remove line nodes which have ended on the current scanline + aActiveVertices.erase( ::std::remove_if( aActiveVertices.begin(), + aActiveVertices.end(), + ::boost::mem_fn( &ImplLineNode::isEnded ) ), + aActiveVertices.end() ); + nb = aActiveVertices.size(); + if(nb != nb_previous) + { + nb_previous = nb; + bSort = true; + } + } + } +} +// eof diff --git a/basegfx/source/polygon/b2dpolypolygontools.cxx b/basegfx/source/polygon/b2dpolypolygontools.cxx new file mode 100644 index 000000000000..dcfa34f93c02 --- /dev/null +++ b/basegfx/source/polygon/b2dpolypolygontools.cxx @@ -0,0 +1,585 @@ +/************************************************************************* + * + * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER. + * + * Copyright 2000, 2010 Oracle and/or its affiliates. + * + * OpenOffice.org - a multi-platform office productivity suite + * + * This file is part of OpenOffice.org. + * + * OpenOffice.org is free software: you can redistribute it and/or modify + * it under the terms of the GNU Lesser General Public License version 3 + * only, as published by the Free Software Foundation. + * + * OpenOffice.org is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU Lesser General Public License version 3 for more details + * (a copy is included in the LICENSE file that accompanied this code). + * + * You should have received a copy of the GNU Lesser General Public License + * version 3 along with OpenOffice.org. If not, see + * <http://www.openoffice.org/license.html> + * for a copy of the LGPLv3 License. + * + ************************************************************************/ + +// MARKER(update_precomp.py): autogen include statement, do not remove +#include "precompiled_basegfx.hxx" +#include <basegfx/polygon/b2dpolypolygontools.hxx> +#include <osl/diagnose.h> +#include <basegfx/polygon/b2dpolypolygon.hxx> +#include <basegfx/polygon/b2dpolygon.hxx> +#include <basegfx/polygon/b2dpolygontools.hxx> +#include <basegfx/numeric/ftools.hxx> +#include <basegfx/polygon/b2dpolypolygoncutter.hxx> + +#include <numeric> + +////////////////////////////////////////////////////////////////////////////// + +namespace basegfx +{ + namespace tools + { + B2DPolyPolygon correctOrientations(const B2DPolyPolygon& rCandidate) + { + B2DPolyPolygon aRetval(rCandidate); + const sal_uInt32 nCount(aRetval.count()); + + for(sal_uInt32 a(0L); a < nCount; a++) + { + const B2DPolygon aCandidate(rCandidate.getB2DPolygon(a)); + const B2VectorOrientation aOrientation(tools::getOrientation(aCandidate)); + sal_uInt32 nDepth(0L); + + for(sal_uInt32 b(0L); b < nCount; b++) + { + if(b != a) + { + const B2DPolygon aCompare(rCandidate.getB2DPolygon(b)); + + if(tools::isInside(aCompare, aCandidate, true)) + { + nDepth++; + } + } + } + + const bool bShallBeHole(1L == (nDepth & 0x00000001)); + const bool bIsHole(ORIENTATION_NEGATIVE == aOrientation); + + if(bShallBeHole != bIsHole && ORIENTATION_NEUTRAL != aOrientation) + { + B2DPolygon aFlipped(aCandidate); + aFlipped.flip(); + aRetval.setB2DPolygon(a, aFlipped); + } + } + + return aRetval; + } + + B2DPolyPolygon correctOutmostPolygon(const B2DPolyPolygon& rCandidate) + { + const sal_uInt32 nCount(rCandidate.count()); + + if(nCount > 1L) + { + for(sal_uInt32 a(0L); a < nCount; a++) + { + const B2DPolygon aCandidate(rCandidate.getB2DPolygon(a)); + sal_uInt32 nDepth(0L); + + for(sal_uInt32 b(0L); b < nCount; b++) + { + if(b != a) + { + const B2DPolygon aCompare(rCandidate.getB2DPolygon(b)); + + if(tools::isInside(aCompare, aCandidate, true)) + { + nDepth++; + } + } + } + + if(!nDepth) + { + B2DPolyPolygon aRetval(rCandidate); + + if(a != 0L) + { + // exchange polygon a and polygon 0L + aRetval.setB2DPolygon(0L, aCandidate); + aRetval.setB2DPolygon(a, rCandidate.getB2DPolygon(0L)); + } + + // exit + return aRetval; + } + } + } + + return rCandidate; + } + + B2DPolyPolygon adaptiveSubdivideByDistance(const B2DPolyPolygon& rCandidate, double fDistanceBound) + { + if(rCandidate.areControlPointsUsed()) + { + const sal_uInt32 nPolygonCount(rCandidate.count()); + B2DPolyPolygon aRetval; + + for(sal_uInt32 a(0L); a < nPolygonCount; a++) + { + const B2DPolygon aCandidate(rCandidate.getB2DPolygon(a)); + + if(aCandidate.areControlPointsUsed()) + { + aRetval.append(tools::adaptiveSubdivideByDistance(aCandidate, fDistanceBound)); + } + else + { + aRetval.append(aCandidate); + } + } + + return aRetval; + } + else + { + return rCandidate; + } + } + + B2DPolyPolygon adaptiveSubdivideByAngle(const B2DPolyPolygon& rCandidate, double fAngleBound) + { + if(rCandidate.areControlPointsUsed()) + { + const sal_uInt32 nPolygonCount(rCandidate.count()); + B2DPolyPolygon aRetval; + + for(sal_uInt32 a(0L); a < nPolygonCount; a++) + { + const B2DPolygon aCandidate(rCandidate.getB2DPolygon(a)); + + if(aCandidate.areControlPointsUsed()) + { + aRetval.append(tools::adaptiveSubdivideByAngle(aCandidate, fAngleBound)); + } + else + { + aRetval.append(aCandidate); + } + } + + return aRetval; + } + else + { + return rCandidate; + } + } + + B2DPolyPolygon adaptiveSubdivideByCount(const B2DPolyPolygon& rCandidate, sal_uInt32 nCount) + { + if(rCandidate.areControlPointsUsed()) + { + const sal_uInt32 nPolygonCount(rCandidate.count()); + B2DPolyPolygon aRetval; + + for(sal_uInt32 a(0L); a < nPolygonCount; a++) + { + const B2DPolygon aCandidate(rCandidate.getB2DPolygon(a)); + + if(aCandidate.areControlPointsUsed()) + { + aRetval.append(tools::adaptiveSubdivideByCount(aCandidate, nCount)); + } + else + { + aRetval.append(aCandidate); + } + } + + return aRetval; + } + else + { + return rCandidate; + } + } + + bool isInside(const B2DPolyPolygon& rCandidate, const B2DPoint& rPoint, bool bWithBorder) + { + const sal_uInt32 nPolygonCount(rCandidate.count()); + + if(1L == nPolygonCount) + { + return isInside(rCandidate.getB2DPolygon(0L), rPoint, bWithBorder); + } + else + { + sal_Int32 nInsideCount(0L); + + for(sal_uInt32 a(0L); a < nPolygonCount; a++) + { + const B2DPolygon aPolygon(rCandidate.getB2DPolygon(a)); + const bool bInside(isInside(aPolygon, rPoint, bWithBorder)); + + if(bInside) + { + nInsideCount++; + } + } + + return (nInsideCount % 2L); + } + } + + B2DRange getRangeWithControlPoints(const B2DPolyPolygon& rCandidate) + { + B2DRange aRetval; + const sal_uInt32 nPolygonCount(rCandidate.count()); + + for(sal_uInt32 a(0L); a < nPolygonCount; a++) + { + B2DPolygon aCandidate = rCandidate.getB2DPolygon(a); + aRetval.expand(tools::getRangeWithControlPoints(aCandidate)); + } + + return aRetval; + } + + B2DRange getRange(const B2DPolyPolygon& rCandidate) + { + B2DRange aRetval; + const sal_uInt32 nPolygonCount(rCandidate.count()); + + for(sal_uInt32 a(0L); a < nPolygonCount; a++) + { + B2DPolygon aCandidate = rCandidate.getB2DPolygon(a); + aRetval.expand(tools::getRange(aCandidate)); + } + + return aRetval; + } + + void applyLineDashing(const B2DPolyPolygon& rCandidate, const ::std::vector<double>& rDotDashArray, B2DPolyPolygon* pLineTarget, B2DPolyPolygon* pGapTarget, double fFullDashDotLen) + { + if(0.0 == fFullDashDotLen && rDotDashArray.size()) + { + // calculate fFullDashDotLen from rDotDashArray + fFullDashDotLen = ::std::accumulate(rDotDashArray.begin(), rDotDashArray.end(), 0.0); + } + + if(rCandidate.count() && fFullDashDotLen > 0.0) + { + B2DPolyPolygon aLineTarget, aGapTarget; + + for(sal_uInt32 a(0L); a < rCandidate.count(); a++) + { + const B2DPolygon aCandidate(rCandidate.getB2DPolygon(a)); + + applyLineDashing( + aCandidate, + rDotDashArray, + pLineTarget ? &aLineTarget : 0, + pGapTarget ? &aGapTarget : 0, + fFullDashDotLen); + + if(pLineTarget) + { + pLineTarget->append(aLineTarget); + } + + if(pGapTarget) + { + pGapTarget->append(aGapTarget); + } + } + } + } + + bool isInEpsilonRange(const B2DPolyPolygon& rCandidate, const B2DPoint& rTestPosition, double fDistance) + { + const sal_uInt32 nPolygonCount(rCandidate.count()); + + for(sal_uInt32 a(0L); a < nPolygonCount; a++) + { + B2DPolygon aCandidate(rCandidate.getB2DPolygon(a)); + + if(isInEpsilonRange(aCandidate, rTestPosition, fDistance)) + { + return true; + } + } + + return false; + } + + B3DPolyPolygon createB3DPolyPolygonFromB2DPolyPolygon(const B2DPolyPolygon& rCandidate, double fZCoordinate) + { + const sal_uInt32 nPolygonCount(rCandidate.count()); + B3DPolyPolygon aRetval; + + for(sal_uInt32 a(0L); a < nPolygonCount; a++) + { + B2DPolygon aCandidate(rCandidate.getB2DPolygon(a)); + + aRetval.append(createB3DPolygonFromB2DPolygon(aCandidate, fZCoordinate)); + } + + return aRetval; + } + + B2DPolyPolygon createB2DPolyPolygonFromB3DPolyPolygon(const B3DPolyPolygon& rCandidate, const B3DHomMatrix& rMat) + { + const sal_uInt32 nPolygonCount(rCandidate.count()); + B2DPolyPolygon aRetval; + + for(sal_uInt32 a(0L); a < nPolygonCount; a++) + { + B3DPolygon aCandidate(rCandidate.getB3DPolygon(a)); + + aRetval.append(createB2DPolygonFromB3DPolygon(aCandidate, rMat)); + } + + return aRetval; + } + + double getSmallestDistancePointToPolyPolygon(const B2DPolyPolygon& rCandidate, const B2DPoint& rTestPoint, sal_uInt32& rPolygonIndex, sal_uInt32& rEdgeIndex, double& rCut) + { + double fRetval(DBL_MAX); + const double fZero(0.0); + const sal_uInt32 nPolygonCount(rCandidate.count()); + + for(sal_uInt32 a(0L); a < nPolygonCount; a++) + { + const B2DPolygon aCandidate(rCandidate.getB2DPolygon(a)); + sal_uInt32 nNewEdgeIndex; + double fNewCut; + const double fNewDistance(getSmallestDistancePointToPolygon(aCandidate, rTestPoint, nNewEdgeIndex, fNewCut)); + + if(DBL_MAX == fRetval || fNewDistance < fRetval) + { + fRetval = fNewDistance; + rPolygonIndex = a; + rEdgeIndex = nNewEdgeIndex; + rCut = fNewCut; + + if(fTools::equal(fRetval, fZero)) + { + // already found zero distance, cannot get better. Ensure numerical zero value and end loop. + fRetval = 0.0; + break; + } + } + } + + return fRetval; + } + + B2DPolyPolygon distort(const B2DPolyPolygon& rCandidate, const B2DRange& rOriginal, const B2DPoint& rTopLeft, const B2DPoint& rTopRight, const B2DPoint& rBottomLeft, const B2DPoint& rBottomRight) + { + const sal_uInt32 nPolygonCount(rCandidate.count()); + B2DPolyPolygon aRetval; + + for(sal_uInt32 a(0L); a < nPolygonCount; a++) + { + const B2DPolygon aCandidate(rCandidate.getB2DPolygon(a)); + + aRetval.append(distort(aCandidate, rOriginal, rTopLeft, rTopRight, rBottomLeft, rBottomRight)); + } + + return aRetval; + } + + B2DPolyPolygon rotateAroundPoint(const B2DPolyPolygon& rCandidate, const B2DPoint& rCenter, double fAngle) + { + const sal_uInt32 nPolygonCount(rCandidate.count()); + B2DPolyPolygon aRetval; + + for(sal_uInt32 a(0L); a < nPolygonCount; a++) + { + const B2DPolygon aCandidate(rCandidate.getB2DPolygon(a)); + + aRetval.append(rotateAroundPoint(aCandidate, rCenter, fAngle)); + } + + return aRetval; + } + + B2DPolyPolygon expandToCurve(const B2DPolyPolygon& rCandidate) + { + const sal_uInt32 nPolygonCount(rCandidate.count()); + B2DPolyPolygon aRetval; + + for(sal_uInt32 a(0L); a < nPolygonCount; a++) + { + const B2DPolygon aCandidate(rCandidate.getB2DPolygon(a)); + + aRetval.append(expandToCurve(aCandidate)); + } + + return aRetval; + } + + B2DPolyPolygon setContinuity(const B2DPolyPolygon& rCandidate, B2VectorContinuity eContinuity) + { + if(rCandidate.areControlPointsUsed()) + { + const sal_uInt32 nPolygonCount(rCandidate.count()); + B2DPolyPolygon aRetval; + + for(sal_uInt32 a(0L); a < nPolygonCount; a++) + { + const B2DPolygon aCandidate(rCandidate.getB2DPolygon(a)); + + aRetval.append(setContinuity(aCandidate, eContinuity)); + } + + return aRetval; + } + else + { + return rCandidate; + } + } + + B2DPolyPolygon growInNormalDirection(const B2DPolyPolygon& rCandidate, double fValue) + { + if(0.0 != fValue) + { + B2DPolyPolygon aRetval; + + for(sal_uInt32 a(0L); a < rCandidate.count(); a++) + { + aRetval.append(growInNormalDirection(rCandidate.getB2DPolygon(a), fValue)); + } + + return aRetval; + } + else + { + return rCandidate; + } + } + + void correctGrowShrinkPolygonPair(B2DPolyPolygon& /*rOriginal*/, B2DPolyPolygon& /*rGrown*/) + { + } + + B2DPolyPolygon reSegmentPolyPolygon(const B2DPolyPolygon& rCandidate, sal_uInt32 nSegments) + { + B2DPolyPolygon aRetval; + + for(sal_uInt32 a(0L); a < rCandidate.count(); a++) + { + aRetval.append(reSegmentPolygon(rCandidate.getB2DPolygon(a), nSegments)); + } + + return aRetval; + } + + B2DPolyPolygon interpolate(const B2DPolyPolygon& rOld1, const B2DPolyPolygon& rOld2, double t) + { + OSL_ENSURE(rOld1.count() == rOld2.count(), "B2DPolyPolygon interpolate: Different geometry (!)"); + B2DPolyPolygon aRetval; + + for(sal_uInt32 a(0L); a < rOld1.count(); a++) + { + aRetval.append(interpolate(rOld1.getB2DPolygon(a), rOld2.getB2DPolygon(a), t)); + } + + return aRetval; + } + + bool isRectangle( const B2DPolyPolygon& rPoly ) + { + // exclude some cheap cases first + if( rPoly.count() != 1 ) + return false; + + return isRectangle( rPoly.getB2DPolygon(0) ); + } + + // #i76891# + B2DPolyPolygon simplifyCurveSegments(const B2DPolyPolygon& rCandidate) + { + if(rCandidate.areControlPointsUsed()) + { + B2DPolyPolygon aRetval; + + for(sal_uInt32 a(0L); a < rCandidate.count(); a++) + { + aRetval.append(simplifyCurveSegments(rCandidate.getB2DPolygon(a))); + } + + return aRetval; + } + else + { + return rCandidate; + } + } + + B2DPolyPolygon reSegmentPolyPolygonEdges(const B2DPolyPolygon& rCandidate, sal_uInt32 nSubEdges, bool bHandleCurvedEdges, bool bHandleStraightEdges) + { + B2DPolyPolygon aRetval; + + for(sal_uInt32 a(0L); a < rCandidate.count(); a++) + { + aRetval.append(reSegmentPolygonEdges(rCandidate.getB2DPolygon(a), nSubEdges, bHandleCurvedEdges, bHandleStraightEdges)); + } + + return aRetval; + } + + ////////////////////////////////////////////////////////////////////// + // comparators with tolerance for 2D PolyPolygons + + bool equal(const B2DPolyPolygon& rCandidateA, const B2DPolyPolygon& rCandidateB, const double& rfSmallValue) + { + const sal_uInt32 nPolygonCount(rCandidateA.count()); + + if(nPolygonCount != rCandidateB.count()) + return false; + + for(sal_uInt32 a(0); a < nPolygonCount; a++) + { + const B2DPolygon aCandidate(rCandidateA.getB2DPolygon(a)); + + if(!equal(aCandidate, rCandidateB.getB2DPolygon(a), rfSmallValue)) + return false; + } + + return true; + } + + bool equal(const B2DPolyPolygon& rCandidateA, const B2DPolyPolygon& rCandidateB) + { + const double fSmallValue(fTools::getSmallValue()); + + return equal(rCandidateA, rCandidateB, fSmallValue); + } + + B2DPolyPolygon snapPointsOfHorizontalOrVerticalEdges(const B2DPolyPolygon& rCandidate) + { + B2DPolyPolygon aRetval; + + for(sal_uInt32 a(0L); a < rCandidate.count(); a++) + { + aRetval.append(snapPointsOfHorizontalOrVerticalEdges(rCandidate.getB2DPolygon(a))); + } + + return aRetval; + } + + } // end of namespace tools +} // end of namespace basegfx + +////////////////////////////////////////////////////////////////////////////// +// eof diff --git a/basegfx/source/polygon/b2dsvgpolypolygon.cxx b/basegfx/source/polygon/b2dsvgpolypolygon.cxx new file mode 100644 index 000000000000..bbb6db4c064a --- /dev/null +++ b/basegfx/source/polygon/b2dsvgpolypolygon.cxx @@ -0,0 +1,1105 @@ +/************************************************************************* + * + * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER. + * + * Copyright 2000, 2010 Oracle and/or its affiliates. + * + * OpenOffice.org - a multi-platform office productivity suite + * + * This file is part of OpenOffice.org. + * + * OpenOffice.org is free software: you can redistribute it and/or modify + * it under the terms of the GNU Lesser General Public License version 3 + * only, as published by the Free Software Foundation. + * + * OpenOffice.org is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU Lesser General Public License version 3 for more details + * (a copy is included in the LICENSE file that accompanied this code). + * + * You should have received a copy of the GNU Lesser General Public License + * version 3 along with OpenOffice.org. If not, see + * <http://www.openoffice.org/license.html> + * for a copy of the LGPLv3 License. + * + ************************************************************************/ + +// MARKER(update_precomp.py): autogen include statement, do not remove +#include "precompiled_basegfx.hxx" + +#include <basegfx/polygon/b2dpolygontools.hxx> +#include <basegfx/polygon/b2dpolypolygontools.hxx> +#include <basegfx/polygon/b2dpolygontools.hxx> +#include <basegfx/polygon/b2dpolypolygon.hxx> +#include <basegfx/matrix/b2dhommatrix.hxx> +#include <basegfx/matrix/b2dhommatrixtools.hxx> +#include <rtl/ustring.hxx> +#include <rtl/math.hxx> + +namespace basegfx +{ + namespace tools + { + namespace + { + void lcl_skipSpaces(sal_Int32& io_rPos, + const ::rtl::OUString& rStr, + const sal_Int32 nLen) + { + while( io_rPos < nLen && + sal_Unicode(' ') == rStr[io_rPos] ) + { + ++io_rPos; + } + } + + void lcl_skipSpacesAndCommas(sal_Int32& io_rPos, + const ::rtl::OUString& rStr, + const sal_Int32 nLen) + { + while(io_rPos < nLen + && (sal_Unicode(' ') == rStr[io_rPos] || sal_Unicode(',') == rStr[io_rPos])) + { + ++io_rPos; + } + } + + inline bool lcl_isOnNumberChar(const ::rtl::OUString& rStr, const sal_Int32 nPos, bool bSignAllowed = true) + { + const sal_Unicode aChar(rStr[nPos]); + + const bool bPredicate( (sal_Unicode('0') <= aChar && sal_Unicode('9') >= aChar) + || (bSignAllowed && sal_Unicode('+') == aChar) + || (bSignAllowed && sal_Unicode('-') == aChar) ); + + return bPredicate; + } + + bool lcl_getDoubleChar(double& o_fRetval, + sal_Int32& io_rPos, + const ::rtl::OUString& rStr, + const sal_Int32 /*nLen*/) + { + sal_Unicode aChar( rStr[io_rPos] ); + ::rtl::OUStringBuffer sNumberString; + + if(sal_Unicode('+') == aChar || sal_Unicode('-') == aChar) + { + sNumberString.append(rStr[io_rPos]); + aChar = rStr[++io_rPos]; + } + + while((sal_Unicode('0') <= aChar && sal_Unicode('9') >= aChar) + || sal_Unicode('.') == aChar) + { + sNumberString.append(rStr[io_rPos]); + aChar = rStr[++io_rPos]; + } + + if(sal_Unicode('e') == aChar || sal_Unicode('E') == aChar) + { + sNumberString.append(rStr[io_rPos]); + aChar = rStr[++io_rPos]; + + if(sal_Unicode('+') == aChar || sal_Unicode('-') == aChar) + { + sNumberString.append(rStr[io_rPos]); + aChar = rStr[++io_rPos]; + } + + while(sal_Unicode('0') <= aChar && sal_Unicode('9') >= aChar) + { + sNumberString.append(rStr[io_rPos]); + aChar = rStr[++io_rPos]; + } + } + + if(sNumberString.getLength()) + { + rtl_math_ConversionStatus eStatus; + o_fRetval = ::rtl::math::stringToDouble( sNumberString.makeStringAndClear(), + (sal_Unicode)('.'), + (sal_Unicode)(','), + &eStatus, + NULL ); + return ( eStatus == rtl_math_ConversionStatus_Ok ); + } + + return false; + } + + bool lcl_importDoubleAndSpaces( double& o_fRetval, + sal_Int32& io_rPos, + const ::rtl::OUString& rStr, + const sal_Int32 nLen ) + { + if( !lcl_getDoubleChar(o_fRetval, io_rPos, rStr, nLen) ) + return false; + + lcl_skipSpacesAndCommas(io_rPos, rStr, nLen); + + return true; + } + + bool lcl_importNumberAndSpaces(sal_Int32& o_nRetval, + sal_Int32& io_rPos, + const ::rtl::OUString& rStr, + const sal_Int32 nLen) + { + sal_Unicode aChar( rStr[io_rPos] ); + ::rtl::OUStringBuffer sNumberString; + + if(sal_Unicode('+') == aChar || sal_Unicode('-') == aChar) + { + sNumberString.append(rStr[io_rPos]); + aChar = rStr[++io_rPos]; + } + + while(sal_Unicode('0') <= aChar && sal_Unicode('9') >= aChar) + { + sNumberString.append(rStr[io_rPos]); + aChar = rStr[++io_rPos]; + } + + if(sNumberString.getLength()) + { + o_nRetval = sNumberString.makeStringAndClear().toInt32(); + lcl_skipSpacesAndCommas(io_rPos, rStr, nLen); + + return true; + } + + return false; + } + + void lcl_skipNumber(sal_Int32& io_rPos, + const ::rtl::OUString& rStr, + const sal_Int32 nLen) + { + bool bSignAllowed(true); + + while(io_rPos < nLen && lcl_isOnNumberChar(rStr, io_rPos, bSignAllowed)) + { + bSignAllowed = false; + ++io_rPos; + } + } + + void lcl_skipDouble(sal_Int32& io_rPos, + const ::rtl::OUString& rStr, + const sal_Int32 /*nLen*/) + { + sal_Unicode aChar( rStr[io_rPos] ); + + if(sal_Unicode('+') == aChar || sal_Unicode('-') == aChar) + aChar = rStr[++io_rPos]; + + while((sal_Unicode('0') <= aChar && sal_Unicode('9') >= aChar) + || sal_Unicode('.') == aChar) + { + aChar = rStr[++io_rPos]; + } + + if(sal_Unicode('e') == aChar || sal_Unicode('E') == aChar) + { + aChar = rStr[++io_rPos]; + + if(sal_Unicode('+') == aChar || sal_Unicode('-') == aChar) + aChar = rStr[++io_rPos]; + + while(sal_Unicode('0') <= aChar && sal_Unicode('9') >= aChar) + { + aChar = rStr[++io_rPos]; + } + } + } + void lcl_skipNumberAndSpacesAndCommas(sal_Int32& io_rPos, + const ::rtl::OUString& rStr, + const sal_Int32 nLen) + { + lcl_skipNumber(io_rPos, rStr, nLen); + lcl_skipSpacesAndCommas(io_rPos, rStr, nLen); + } + + // #100617# Allow to skip doubles, too. + void lcl_skipDoubleAndSpacesAndCommas(sal_Int32& io_rPos, + const ::rtl::OUString& rStr, + const sal_Int32 nLen) + { + lcl_skipDouble(io_rPos, rStr, nLen); + lcl_skipSpacesAndCommas(io_rPos, rStr, nLen); + } + + void lcl_putNumberChar( ::rtl::OUString& rStr, + double fValue ) + { + rStr += ::rtl::OUString::valueOf( fValue ); + } + + void lcl_putNumberCharWithSpace( ::rtl::OUString& rStr, + double fValue, + double fOldValue, + bool bUseRelativeCoordinates ) + { + if( bUseRelativeCoordinates ) + fValue -= fOldValue; + + const sal_Int32 aLen( rStr.getLength() ); + if(aLen) + { + if( lcl_isOnNumberChar(rStr, aLen - 1, false) && + fValue >= 0.0 ) + { + rStr += ::rtl::OUString::valueOf( + sal_Unicode(' ') ); + } + } + + lcl_putNumberChar(rStr, fValue); + } + + inline sal_Unicode lcl_getCommand( sal_Char cUpperCaseCommand, + sal_Char cLowerCaseCommand, + bool bUseRelativeCoordinates ) + { + return bUseRelativeCoordinates ? cLowerCaseCommand : cUpperCaseCommand; + } + } + + bool importFromSvgD(B2DPolyPolygon& o_rPolyPolygon, const ::rtl::OUString& rSvgDStatement) + { + o_rPolyPolygon.clear(); + const sal_Int32 nLen(rSvgDStatement.getLength()); + sal_Int32 nPos(0); + bool bIsClosed(false); + double nLastX( 0.0 ); + double nLastY( 0.0 ); + B2DPolygon aCurrPoly; + + // skip initial whitespace + lcl_skipSpaces(nPos, rSvgDStatement, nLen); + + while(nPos < nLen) + { + bool bRelative(false); + bool bMoveTo(false); + const sal_Unicode aCurrChar(rSvgDStatement[nPos]); + + switch(aCurrChar) + { + case 'z' : + case 'Z' : + { + nPos++; + lcl_skipSpaces(nPos, rSvgDStatement, nLen); + + // remember closed state of current polygon + bIsClosed = true; + break; + } + + case 'm' : + case 'M' : + { + bMoveTo = true; + // FALLTHROUGH intended + } + case 'l' : + case 'L' : + { + if('m' == aCurrChar || 'l' == aCurrChar) + { + bRelative = true; + } + + if(bMoveTo) + { + // new polygon start, finish old one + if(aCurrPoly.count()) + { + // add current polygon + if(bIsClosed) + { + closeWithGeometryChange(aCurrPoly); + } + + o_rPolyPolygon.append(aCurrPoly); + + // reset import values + bIsClosed = false; + aCurrPoly.clear(); + } + } + + nPos++; + lcl_skipSpaces(nPos, rSvgDStatement, nLen); + + while(nPos < nLen && lcl_isOnNumberChar(rSvgDStatement, nPos)) + { + double nX, nY; + + if(!lcl_importDoubleAndSpaces(nX, nPos, rSvgDStatement, nLen)) return false; + if(!lcl_importDoubleAndSpaces(nY, nPos, rSvgDStatement, nLen)) return false; + + if(bRelative) + { + nX += nLastX; + nY += nLastY; + } + + // set last position + nLastX = nX; + nLastY = nY; + + // add point + aCurrPoly.append(B2DPoint(nX, nY)); + } + break; + } + + case 'h' : + { + bRelative = true; + // FALLTHROUGH intended + } + case 'H' : + { + nPos++; + lcl_skipSpaces(nPos, rSvgDStatement, nLen); + + while(nPos < nLen && lcl_isOnNumberChar(rSvgDStatement, nPos)) + { + double nX, nY(nLastY); + + if(!lcl_importDoubleAndSpaces(nX, nPos, rSvgDStatement, nLen)) return false; + + if(bRelative) + { + nX += nLastX; + } + + // set last position + nLastX = nX; + + // add point + aCurrPoly.append(B2DPoint(nX, nY)); + } + break; + } + + case 'v' : + { + bRelative = true; + // FALLTHROUGH intended + } + case 'V' : + { + nPos++; + lcl_skipSpaces(nPos, rSvgDStatement, nLen); + + while(nPos < nLen && lcl_isOnNumberChar(rSvgDStatement, nPos)) + { + double nX(nLastX), nY; + + if(!lcl_importDoubleAndSpaces(nY, nPos, rSvgDStatement, nLen)) return false; + + if(bRelative) + { + nY += nLastY; + } + + // set last position + nLastY = nY; + + // add point + aCurrPoly.append(B2DPoint(nX, nY)); + } + break; + } + + case 's' : + { + bRelative = true; + // FALLTHROUGH intended + } + case 'S' : + { + nPos++; + lcl_skipSpaces(nPos, rSvgDStatement, nLen); + + while(nPos < nLen && lcl_isOnNumberChar(rSvgDStatement, nPos)) + { + double nX, nY; + double nX2, nY2; + + if(!lcl_importDoubleAndSpaces(nX2, nPos, rSvgDStatement, nLen)) return false; + if(!lcl_importDoubleAndSpaces(nY2, nPos, rSvgDStatement, nLen)) return false; + if(!lcl_importDoubleAndSpaces(nX, nPos, rSvgDStatement, nLen)) return false; + if(!lcl_importDoubleAndSpaces(nY, nPos, rSvgDStatement, nLen)) return false; + + if(bRelative) + { + nX2 += nLastX; + nY2 += nLastY; + nX += nLastX; + nY += nLastY; + } + + // ensure existance of start point + if(!aCurrPoly.count()) + { + aCurrPoly.append(B2DPoint(nLastX, nLastY)); + } + + // get first control point. It's the reflection of the PrevControlPoint + // of the last point. If not existent, use current point (see SVG) + B2DPoint aPrevControl(B2DPoint(nLastX, nLastY)); + const sal_uInt32 nIndex(aCurrPoly.count() - 1); + + if(aCurrPoly.areControlPointsUsed() && aCurrPoly.isPrevControlPointUsed(nIndex)) + { + const B2DPoint aPrevPoint(aCurrPoly.getB2DPoint(nIndex)); + const B2DPoint aPrevControlPoint(aCurrPoly.getPrevControlPoint(nIndex)); + + // use mirrored previous control point + aPrevControl.setX((2.0 * aPrevPoint.getX()) - aPrevControlPoint.getX()); + aPrevControl.setY((2.0 * aPrevPoint.getY()) - aPrevControlPoint.getY()); + } + + // append curved edge + aCurrPoly.appendBezierSegment(aPrevControl, B2DPoint(nX2, nY2), B2DPoint(nX, nY)); + + // set last position + nLastX = nX; + nLastY = nY; + } + break; + } + + case 'c' : + { + bRelative = true; + // FALLTHROUGH intended + } + case 'C' : + { + nPos++; + lcl_skipSpaces(nPos, rSvgDStatement, nLen); + + while(nPos < nLen && lcl_isOnNumberChar(rSvgDStatement, nPos)) + { + double nX, nY; + double nX1, nY1; + double nX2, nY2; + + if(!lcl_importDoubleAndSpaces(nX1, nPos, rSvgDStatement, nLen)) return false; + if(!lcl_importDoubleAndSpaces(nY1, nPos, rSvgDStatement, nLen)) return false; + if(!lcl_importDoubleAndSpaces(nX2, nPos, rSvgDStatement, nLen)) return false; + if(!lcl_importDoubleAndSpaces(nY2, nPos, rSvgDStatement, nLen)) return false; + if(!lcl_importDoubleAndSpaces(nX, nPos, rSvgDStatement, nLen)) return false; + if(!lcl_importDoubleAndSpaces(nY, nPos, rSvgDStatement, nLen)) return false; + + if(bRelative) + { + nX1 += nLastX; + nY1 += nLastY; + nX2 += nLastX; + nY2 += nLastY; + nX += nLastX; + nY += nLastY; + } + + // ensure existance of start point + if(!aCurrPoly.count()) + { + aCurrPoly.append(B2DPoint(nLastX, nLastY)); + } + + // append curved edge + aCurrPoly.appendBezierSegment(B2DPoint(nX1, nY1), B2DPoint(nX2, nY2), B2DPoint(nX, nY)); + + // set last position + nLastX = nX; + nLastY = nY; + } + break; + } + + // #100617# quadratic beziers are imported as cubic ones + case 'q' : + { + bRelative = true; + // FALLTHROUGH intended + } + case 'Q' : + { + nPos++; + lcl_skipSpaces(nPos, rSvgDStatement, nLen); + + while(nPos < nLen && lcl_isOnNumberChar(rSvgDStatement, nPos)) + { + double nX, nY; + double nX1, nY1; + + if(!lcl_importDoubleAndSpaces(nX1, nPos, rSvgDStatement, nLen)) return false; + if(!lcl_importDoubleAndSpaces(nY1, nPos, rSvgDStatement, nLen)) return false; + if(!lcl_importDoubleAndSpaces(nX, nPos, rSvgDStatement, nLen)) return false; + if(!lcl_importDoubleAndSpaces(nY, nPos, rSvgDStatement, nLen)) return false; + + if(bRelative) + { + nX1 += nLastX; + nY1 += nLastY; + nX += nLastX; + nY += nLastY; + } + + // calculate the cubic bezier coefficients from the quadratic ones + const double nX1Prime((nX1 * 2.0 + nLastX) / 3.0); + const double nY1Prime((nY1 * 2.0 + nLastY) / 3.0); + const double nX2Prime((nX1 * 2.0 + nX) / 3.0); + const double nY2Prime((nY1 * 2.0 + nY) / 3.0); + + // ensure existance of start point + if(!aCurrPoly.count()) + { + aCurrPoly.append(B2DPoint(nLastX, nLastY)); + } + + // append curved edge + aCurrPoly.appendBezierSegment(B2DPoint(nX1Prime, nY1Prime), B2DPoint(nX2Prime, nY2Prime), B2DPoint(nX, nY)); + + // set last position + nLastX = nX; + nLastY = nY; + } + break; + } + + // #100617# relative quadratic beziers are imported as cubic + case 't' : + { + bRelative = true; + // FALLTHROUGH intended + } + case 'T' : + { + nPos++; + lcl_skipSpaces(nPos, rSvgDStatement, nLen); + + while(nPos < nLen && lcl_isOnNumberChar(rSvgDStatement, nPos)) + { + double nX, nY; + + if(!lcl_importDoubleAndSpaces(nX, nPos, rSvgDStatement, nLen)) return false; + if(!lcl_importDoubleAndSpaces(nY, nPos, rSvgDStatement, nLen)) return false; + + if(bRelative) + { + nX += nLastX; + nY += nLastY; + } + + // ensure existance of start point + if(!aCurrPoly.count()) + { + aCurrPoly.append(B2DPoint(nLastX, nLastY)); + } + + // get first control point. It's the reflection of the PrevControlPoint + // of the last point. If not existent, use current point (see SVG) + B2DPoint aPrevControl(B2DPoint(nLastX, nLastY)); + const sal_uInt32 nIndex(aCurrPoly.count() - 1); + const B2DPoint aPrevPoint(aCurrPoly.getB2DPoint(nIndex)); + + if(aCurrPoly.areControlPointsUsed() && aCurrPoly.isPrevControlPointUsed(nIndex)) + { + const B2DPoint aPrevControlPoint(aCurrPoly.getPrevControlPoint(nIndex)); + + // use mirrored previous control point + aPrevControl.setX((2.0 * aPrevPoint.getX()) - aPrevControlPoint.getX()); + aPrevControl.setY((2.0 * aPrevPoint.getY()) - aPrevControlPoint.getY()); + } + + if(!aPrevControl.equal(aPrevPoint)) + { + // there is a prev control point, and we have the already mirrored one + // in aPrevControl. We also need the quadratic control point for this + // new quadratic segment to calculate the 2nd cubic control point + const B2DPoint aQuadControlPoint( + ((3.0 * aPrevControl.getX()) - aPrevPoint.getX()) / 2.0, + ((3.0 * aPrevControl.getY()) - aPrevPoint.getY()) / 2.0); + + // calculate the cubic bezier coefficients from the quadratic ones. + const double nX2Prime((aQuadControlPoint.getX() * 2.0 + nX) / 3.0); + const double nY2Prime((aQuadControlPoint.getY() * 2.0 + nY) / 3.0); + + // append curved edge, use mirrored cubic control point directly + aCurrPoly.appendBezierSegment(aPrevControl, B2DPoint(nX2Prime, nY2Prime), B2DPoint(nX, nY)); + } + else + { + // when no previous control, SVG says to use current point -> straight line. + // Just add end point + aCurrPoly.append(B2DPoint(nX, nY)); + } + + // set last position + nLastX = nX; + nLastY = nY; + } + break; + } + + case 'a' : + { + bRelative = true; + // FALLTHROUGH intended + } + case 'A' : + { + nPos++; + lcl_skipSpaces(nPos, rSvgDStatement, nLen); + + while(nPos < nLen && lcl_isOnNumberChar(rSvgDStatement, nPos)) + { + double nX, nY; + double fRX, fRY, fPhi; + sal_Int32 bLargeArcFlag, bSweepFlag; + + if(!lcl_importDoubleAndSpaces(fRX, nPos, rSvgDStatement, nLen)) return false; + if(!lcl_importDoubleAndSpaces(fRY, nPos, rSvgDStatement, nLen)) return false; + if(!lcl_importDoubleAndSpaces(fPhi, nPos, rSvgDStatement, nLen)) return false; + if(!lcl_importNumberAndSpaces(bLargeArcFlag, nPos, rSvgDStatement, nLen)) return false; + if(!lcl_importNumberAndSpaces(bSweepFlag, nPos, rSvgDStatement, nLen)) return false; + if(!lcl_importDoubleAndSpaces(nX, nPos, rSvgDStatement, nLen)) return false; + if(!lcl_importDoubleAndSpaces(nY, nPos, rSvgDStatement, nLen)) return false; + + if(bRelative) + { + nX += nLastX; + nY += nLastY; + } + + const B2DPoint aPrevPoint(aCurrPoly.getB2DPoint(aCurrPoly.count() - 1)); + + if( nX == nLastX && nY == nLastY ) + continue; // start==end -> skip according to SVG spec + + if( fRX == 0.0 || fRY == 0.0 ) + { + // straight line segment according to SVG spec + aCurrPoly.append(B2DPoint(nX, nY)); + } + else + { + // normalize according to SVG spec + fRX=fabs(fRX); fRY=fabs(fRY); + + // from the SVG spec, appendix F.6.4 + + // |x1'| |cos phi sin phi| |(x1 - x2)/2| + // |y1'| = |-sin phi cos phi| |(y1 - y2)/2| + const B2DPoint p1(nLastX, nLastY); + const B2DPoint p2(nX, nY); + B2DHomMatrix aTransform(basegfx::tools::createRotateB2DHomMatrix(-fPhi*M_PI/180)); + + const B2DPoint p1_prime( aTransform * B2DPoint(((p1-p2)/2.0)) ); + + // ______________________________________ rx y1' + // |cx'| + / rx^2 ry^2 - rx^2 y1'^2 - ry^2 x1^2 ry + // |cy'| =-/ rx^2y1'^2 + ry^2 x1'^2 - ry x1' + // rx + // chose + if f_A != f_S + // chose - if f_A = f_S + B2DPoint aCenter_prime; + const double fRadicant( + (fRX*fRX*fRY*fRY - fRX*fRX*p1_prime.getY()*p1_prime.getY() - fRY*fRY*p1_prime.getX()*p1_prime.getX())/ + (fRX*fRX*p1_prime.getY()*p1_prime.getY() + fRY*fRY*p1_prime.getX()*p1_prime.getX())); + if( fRadicant < 0.0 ) + { + // no solution - according to SVG + // spec, scale up ellipse + // uniformly such that it passes + // through end points (denominator + // of radicant solved for fRY, + // with s=fRX/fRY) + const double fRatio(fRX/fRY); + const double fRadicant2( + p1_prime.getY()*p1_prime.getY() + + p1_prime.getX()*p1_prime.getX()/(fRatio*fRatio)); + if( fRadicant2 < 0.0 ) + { + // only trivial solution, one + // of the axes 0 -> straight + // line segment according to + // SVG spec + aCurrPoly.append(B2DPoint(nX, nY)); + continue; + } + + fRY=sqrt(fRadicant2); + fRX=fRatio*fRY; + + // keep center_prime forced to (0,0) + } + else + { + const double fFactor( + (bLargeArcFlag==bSweepFlag ? -1.0 : 1.0) * + sqrt(fRadicant)); + + // actually calculate center_prime + aCenter_prime = B2DPoint( + fFactor*fRX*p1_prime.getY()/fRY, + -fFactor*fRY*p1_prime.getX()/fRX); + } + + // + u - v + // angle(u,v) = arccos( ------------ ) (take the sign of (ux vy - uy vx)) + // - ||u|| ||v|| + + // 1 | (x1' - cx')/rx | + // theta1 = angle(( ), | | ) + // 0 | (y1' - cy')/ry | + const B2DPoint aRadii(fRX,fRY); + double fTheta1( + B2DVector(1.0,0.0).angle( + (p1_prime-aCenter_prime)/aRadii)); + + // |1| | (-x1' - cx')/rx | + // theta2 = angle( | | , | | ) + // |0| | (-y1' - cy')/ry | + double fTheta2( + B2DVector(1.0,0.0).angle( + (-p1_prime-aCenter_prime)/aRadii)); + + // map both angles to [0,2pi) + fTheta1 = fmod(2*M_PI+fTheta1,2*M_PI); + fTheta2 = fmod(2*M_PI+fTheta2,2*M_PI); + + // make sure the large arc is taken + // (since + // createPolygonFromEllipseSegment() + // normalizes to e.g. cw arc) + const bool bFlipSegment( (bLargeArcFlag!=0) == + (fmod(fTheta2+2*M_PI-fTheta1, + 2*M_PI)<M_PI) ); + if( bFlipSegment ) + std::swap(fTheta1,fTheta2); + + // finally, create bezier polygon from this + B2DPolygon aSegment( + tools::createPolygonFromUnitEllipseSegment( + fTheta1, fTheta2 )); + + // transform ellipse by rotation & move to final center + aTransform = basegfx::tools::createScaleB2DHomMatrix(fRX, fRY); + aTransform.translate(aCenter_prime.getX(), + aCenter_prime.getY()); + aTransform.rotate(fPhi*M_PI/180); + const B2DPoint aOffset((p1+p2)/2.0); + aTransform.translate(aOffset.getX(), + aOffset.getY()); + aSegment.transform(aTransform); + + // createPolygonFromEllipseSegment() + // always creates arcs that are + // positively oriented - flip polygon + // if we swapped angles above + if( bFlipSegment ) + aSegment.flip(); + aCurrPoly.append(aSegment); + } + + // set last position + nLastX = nX; + nLastY = nY; + } + break; + } + + default: + { + OSL_ENSURE(false, "importFromSvgD(): skipping tags in svg:d element (unknown)!"); + OSL_TRACE("importFromSvgD(): skipping tags in svg:d element (unknown: \"%c\")!", aCurrChar); + ++nPos; + break; + } + } + } + + if(aCurrPoly.count()) + { + // end-process last poly + if(bIsClosed) + { + closeWithGeometryChange(aCurrPoly); + } + + o_rPolyPolygon.append(aCurrPoly); + } + + return true; + } + + bool importFromSvgPoints( B2DPolygon& o_rPoly, + const ::rtl::OUString& rSvgPointsAttribute ) + { + o_rPoly.clear(); + const sal_Int32 nLen(rSvgPointsAttribute.getLength()); + sal_Int32 nPos(0); + double nX, nY; + + // skip initial whitespace + lcl_skipSpaces(nPos, rSvgPointsAttribute, nLen); + + while(nPos < nLen) + { + if(!lcl_importDoubleAndSpaces(nX, nPos, rSvgPointsAttribute, nLen)) return false; + if(!lcl_importDoubleAndSpaces(nY, nPos, rSvgPointsAttribute, nLen)) return false; + + // add point + o_rPoly.append(B2DPoint(nX, nY)); + + // skip to next number, or finish + lcl_skipSpaces(nPos, rSvgPointsAttribute, nLen); + } + + return true; + } + + ::rtl::OUString exportToSvgD( + const B2DPolyPolygon& rPolyPolygon, + bool bUseRelativeCoordinates, + bool bDetectQuadraticBeziers) + { + const sal_uInt32 nCount(rPolyPolygon.count()); + ::rtl::OUString aResult; + B2DPoint aCurrentSVGPosition(0.0, 0.0); // SVG assumes (0,0) as the initial current point + + for(sal_uInt32 i(0); i < nCount; i++) + { + const B2DPolygon aPolygon(rPolyPolygon.getB2DPolygon(i)); + const sal_uInt32 nPointCount(aPolygon.count()); + + if(nPointCount) + { + const bool bPolyUsesControlPoints(aPolygon.areControlPointsUsed()); + const sal_uInt32 nEdgeCount(aPolygon.isClosed() ? nPointCount : nPointCount - 1); + sal_Unicode aLastSVGCommand(' '); // last SVG command char + B2DPoint aLeft, aRight; // for quadratic bezier test + + // handle polygon start point + B2DPoint aEdgeStart(aPolygon.getB2DPoint(0)); + aResult += ::rtl::OUString::valueOf(lcl_getCommand('M', 'm', bUseRelativeCoordinates)); + lcl_putNumberCharWithSpace(aResult, aEdgeStart.getX(), aCurrentSVGPosition.getX(), bUseRelativeCoordinates); + lcl_putNumberCharWithSpace(aResult, aEdgeStart.getY(), aCurrentSVGPosition.getY(), bUseRelativeCoordinates); + aLastSVGCommand = lcl_getCommand('L', 'l', bUseRelativeCoordinates); + aCurrentSVGPosition = aEdgeStart; + + for(sal_uInt32 nIndex(0); nIndex < nEdgeCount; nIndex++) + { + // prepare access to next point + const sal_uInt32 nNextIndex((nIndex + 1) % nPointCount); + const B2DPoint aEdgeEnd(aPolygon.getB2DPoint(nNextIndex)); + + // handle edge from (aEdgeStart, aEdgeEnd) using indices (nIndex, nNextIndex) + const bool bEdgeIsBezier(bPolyUsesControlPoints + && (aPolygon.isNextControlPointUsed(nIndex) || aPolygon.isPrevControlPointUsed(nNextIndex))); + + if(bEdgeIsBezier) + { + // handle bezier edge + const B2DPoint aControlEdgeStart(aPolygon.getNextControlPoint(nIndex)); + const B2DPoint aControlEdgeEnd(aPolygon.getPrevControlPoint(nNextIndex)); + bool bIsQuadraticBezier(false); + + // check continuity at current edge's start point. For SVG, do NOT use an + // existing continuity since no 'S' or 's' statement should be written. At + // import, that 'previous' control vector is not available. SVG documentation + // says for interpretation: + // + // "(If there is no previous command or if the previous command was + // not an C, c, S or s, assume the first control point is coincident + // with the current point.)" + // + // That's what is done from our import, so avoid exporting it as first statement + // is necessary. + const bool bSymmetricAtEdgeStart( + 0 != nIndex + && CONTINUITY_C2 == aPolygon.getContinuityInPoint(nIndex)); + + if(bDetectQuadraticBeziers) + { + // check for quadratic beziers - that's + // the case if both control points are in + // the same place when they are prolonged + // to the common quadratic control point + // + // Left: P = (3P1 - P0) / 2 + // Right: P = (3P2 - P3) / 2 + aLeft = B2DPoint((3.0 * aControlEdgeStart - aEdgeStart) / 2.0); + aRight= B2DPoint((3.0 * aControlEdgeEnd - aEdgeEnd) / 2.0); + bIsQuadraticBezier = aLeft.equal(aRight); + } + + if(bIsQuadraticBezier) + { + // approximately equal, export as quadratic bezier + if(bSymmetricAtEdgeStart) + { + const sal_Unicode aCommand(lcl_getCommand('T', 't', bUseRelativeCoordinates)); + + if(aLastSVGCommand != aCommand) + { + aResult += ::rtl::OUString::valueOf(aCommand); + aLastSVGCommand = aCommand; + } + + lcl_putNumberCharWithSpace(aResult, aEdgeEnd.getX(), aCurrentSVGPosition.getX(), bUseRelativeCoordinates); + lcl_putNumberCharWithSpace(aResult, aEdgeEnd.getY(), aCurrentSVGPosition.getY(), bUseRelativeCoordinates); + aLastSVGCommand = aCommand; + aCurrentSVGPosition = aEdgeEnd; + } + else + { + const sal_Unicode aCommand(lcl_getCommand('Q', 'q', bUseRelativeCoordinates)); + + if(aLastSVGCommand != aCommand) + { + aResult += ::rtl::OUString::valueOf(aCommand); + aLastSVGCommand = aCommand; + } + + lcl_putNumberCharWithSpace(aResult, aLeft.getX(), aCurrentSVGPosition.getX(), bUseRelativeCoordinates); + lcl_putNumberCharWithSpace(aResult, aLeft.getY(), aCurrentSVGPosition.getY(), bUseRelativeCoordinates); + lcl_putNumberCharWithSpace(aResult, aEdgeEnd.getX(), aCurrentSVGPosition.getX(), bUseRelativeCoordinates); + lcl_putNumberCharWithSpace(aResult, aEdgeEnd.getY(), aCurrentSVGPosition.getY(), bUseRelativeCoordinates); + aLastSVGCommand = aCommand; + aCurrentSVGPosition = aEdgeEnd; + } + } + else + { + // export as cubic bezier + if(bSymmetricAtEdgeStart) + { + const sal_Unicode aCommand(lcl_getCommand('S', 's', bUseRelativeCoordinates)); + + if(aLastSVGCommand != aCommand) + { + aResult += ::rtl::OUString::valueOf(aCommand); + aLastSVGCommand = aCommand; + } + + lcl_putNumberCharWithSpace(aResult, aControlEdgeEnd.getX(), aCurrentSVGPosition.getX(), bUseRelativeCoordinates); + lcl_putNumberCharWithSpace(aResult, aControlEdgeEnd.getY(), aCurrentSVGPosition.getY(), bUseRelativeCoordinates); + lcl_putNumberCharWithSpace(aResult, aEdgeEnd.getX(), aCurrentSVGPosition.getX(), bUseRelativeCoordinates); + lcl_putNumberCharWithSpace(aResult, aEdgeEnd.getY(), aCurrentSVGPosition.getY(), bUseRelativeCoordinates); + aLastSVGCommand = aCommand; + aCurrentSVGPosition = aEdgeEnd; + } + else + { + const sal_Unicode aCommand(lcl_getCommand('C', 'c', bUseRelativeCoordinates)); + + if(aLastSVGCommand != aCommand) + { + aResult += ::rtl::OUString::valueOf(aCommand); + aLastSVGCommand = aCommand; + } + + lcl_putNumberCharWithSpace(aResult, aControlEdgeStart.getX(), aCurrentSVGPosition.getX(), bUseRelativeCoordinates); + lcl_putNumberCharWithSpace(aResult, aControlEdgeStart.getY(), aCurrentSVGPosition.getY(), bUseRelativeCoordinates); + lcl_putNumberCharWithSpace(aResult, aControlEdgeEnd.getX(), aCurrentSVGPosition.getX(), bUseRelativeCoordinates); + lcl_putNumberCharWithSpace(aResult, aControlEdgeEnd.getY(), aCurrentSVGPosition.getY(), bUseRelativeCoordinates); + lcl_putNumberCharWithSpace(aResult, aEdgeEnd.getX(), aCurrentSVGPosition.getX(), bUseRelativeCoordinates); + lcl_putNumberCharWithSpace(aResult, aEdgeEnd.getY(), aCurrentSVGPosition.getY(), bUseRelativeCoordinates); + aLastSVGCommand = aCommand; + aCurrentSVGPosition = aEdgeEnd; + } + } + } + else + { + // straight edge + if(0 == nNextIndex) + { + // it's a closed polygon's last edge and it's not a bezier edge, so there is + // no need to write it + } + else + { + const bool bXEqual(aEdgeStart.getX() == aEdgeEnd.getX()); + const bool bYEqual(aEdgeStart.getY() == aEdgeEnd.getY()); + + if(bXEqual && bYEqual) + { + // point is a double point; do not export at all + } + else if(bXEqual) + { + // export as vertical line + const sal_Unicode aCommand(lcl_getCommand('V', 'v', bUseRelativeCoordinates)); + + if(aLastSVGCommand != aCommand) + { + aResult += ::rtl::OUString::valueOf(aCommand); + aLastSVGCommand = aCommand; + } + + lcl_putNumberCharWithSpace(aResult, aEdgeEnd.getY(), aCurrentSVGPosition.getY(), bUseRelativeCoordinates); + aCurrentSVGPosition = aEdgeEnd; + } + else if(bYEqual) + { + // export as horizontal line + const sal_Unicode aCommand(lcl_getCommand('H', 'h', bUseRelativeCoordinates)); + + if(aLastSVGCommand != aCommand) + { + aResult += ::rtl::OUString::valueOf(aCommand); + aLastSVGCommand = aCommand; + } + + lcl_putNumberCharWithSpace(aResult, aEdgeEnd.getX(), aCurrentSVGPosition.getX(), bUseRelativeCoordinates); + aCurrentSVGPosition = aEdgeEnd; + } + else + { + // export as line + const sal_Unicode aCommand(lcl_getCommand('L', 'l', bUseRelativeCoordinates)); + + if(aLastSVGCommand != aCommand) + { + aResult += ::rtl::OUString::valueOf(aCommand); + aLastSVGCommand = aCommand; + } + + lcl_putNumberCharWithSpace(aResult, aEdgeEnd.getX(), aCurrentSVGPosition.getX(), bUseRelativeCoordinates); + lcl_putNumberCharWithSpace(aResult, aEdgeEnd.getY(), aCurrentSVGPosition.getY(), bUseRelativeCoordinates); + aCurrentSVGPosition = aEdgeEnd; + } + } + } + + // prepare edge start for next loop step + aEdgeStart = aEdgeEnd; + } + + // close path if closed poly (Z and z are equivalent here, but looks nicer when case is matched) + if(aPolygon.isClosed()) + { + aResult += ::rtl::OUString::valueOf(lcl_getCommand('Z', 'z', bUseRelativeCoordinates)); + } + } + } + + return aResult; + } + } +} + +// eof diff --git a/basegfx/source/polygon/b3dgeometry.cxx b/basegfx/source/polygon/b3dgeometry.cxx new file mode 100644 index 000000000000..6c1537bac0a6 --- /dev/null +++ b/basegfx/source/polygon/b3dgeometry.cxx @@ -0,0 +1,55 @@ +/************************************************************************* + * + * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER. + * + * Copyright 2000, 2010 Oracle and/or its affiliates. + * + * OpenOffice.org - a multi-platform office productivity suite + * + * This file is part of OpenOffice.org. + * + * OpenOffice.org is free software: you can redistribute it and/or modify + * it under the terms of the GNU Lesser General Public License version 3 + * only, as published by the Free Software Foundation. + * + * OpenOffice.org is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU Lesser General Public License version 3 for more details + * (a copy is included in the LICENSE file that accompanied this code). + * + * You should have received a copy of the GNU Lesser General Public License + * version 3 along with OpenOffice.org. If not, see + * <http://www.openoffice.org/license.html> + * for a copy of the LGPLv3 License. + * + ************************************************************************/ + +#include <osl/diagnose.h> +#include <basegfx/polygon/b3dgeometry.hxx> + +////////////////////////////////////////////////////////////////////////////// + +namespace basegfx +{ + B3DGeometry::B3DGeometry() + : mbUnifiedVectorValid(false) + { + } + + B3DGeometry::~B3DGeometry() + { + } + + bool B3DGeometry::operator==(const B3DGeometry& rGeometry) const + { + return (maPolyPolygon == maPolyPolygon + && maPolygonTo3D == maPolygonTo3D + && maPolyNormal == maPolyNormal + && maPolyTexture == maPolyTexture + } + +} // end of namespace basegfx + +////////////////////////////////////////////////////////////////////////////// +// eof diff --git a/basegfx/source/polygon/b3dpolygon.cxx b/basegfx/source/polygon/b3dpolygon.cxx new file mode 100644 index 000000000000..1985d3301d4b --- /dev/null +++ b/basegfx/source/polygon/b3dpolygon.cxx @@ -0,0 +1,1816 @@ +/************************************************************************* + * + * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER. + * + * Copyright 2000, 2010 Oracle and/or its affiliates. + * + * OpenOffice.org - a multi-platform office productivity suite + * + * This file is part of OpenOffice.org. + * + * OpenOffice.org is free software: you can redistribute it and/or modify + * it under the terms of the GNU Lesser General Public License version 3 + * only, as published by the Free Software Foundation. + * + * OpenOffice.org is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU Lesser General Public License version 3 for more details + * (a copy is included in the LICENSE file that accompanied this code). + * + * You should have received a copy of the GNU Lesser General Public License + * version 3 along with OpenOffice.org. If not, see + * <http://www.openoffice.org/license.html> + * for a copy of the LGPLv3 License. + * + ************************************************************************/ + +// MARKER(update_precomp.py): autogen include statement, do not remove +#include "precompiled_basegfx.hxx" +#include <osl/diagnose.h> +#include <basegfx/polygon/b3dpolygon.hxx> +#include <basegfx/point/b3dpoint.hxx> +#include <basegfx/matrix/b3dhommatrix.hxx> +#include <rtl/instance.hxx> +#include <basegfx/point/b2dpoint.hxx> +#include <basegfx/color/bcolor.hxx> +#include <basegfx/matrix/b2dhommatrix.hxx> +#include <vector> +#include <algorithm> + +////////////////////////////////////////////////////////////////////////////// + +class CoordinateData3D +{ + basegfx::B3DPoint maPoint; + +public: + CoordinateData3D() + : maPoint() + { + } + + explicit CoordinateData3D(const basegfx::B3DPoint& rData) + : maPoint(rData) + { + } + + const basegfx::B3DPoint& getCoordinate() const + { + return maPoint; + } + + void setCoordinate(const basegfx::B3DPoint& rValue) + { + if(rValue != maPoint) + maPoint = rValue; + } + + bool operator==(const CoordinateData3D& rData) const + { + return (maPoint == rData.getCoordinate()); + } + + void transform(const basegfx::B3DHomMatrix& rMatrix) + { + maPoint *= rMatrix; + } +}; + +////////////////////////////////////////////////////////////////////////////// + +class CoordinateDataArray3D +{ + typedef ::std::vector< CoordinateData3D > CoordinateData3DVector; + + CoordinateData3DVector maVector; + +public: + explicit CoordinateDataArray3D(sal_uInt32 nCount) + : maVector(nCount) + { + } + + explicit CoordinateDataArray3D(const CoordinateDataArray3D& rOriginal) + : maVector(rOriginal.maVector) + { + } + + CoordinateDataArray3D(const CoordinateDataArray3D& rOriginal, sal_uInt32 nIndex, sal_uInt32 nCount) + : maVector(rOriginal.maVector.begin() + nIndex, rOriginal.maVector.begin() + (nIndex + nCount)) + { + } + + ~CoordinateDataArray3D() + { + } + + ::basegfx::B3DVector getNormal() const + { + ::basegfx::B3DVector aRetval; + const sal_uInt32 nPointCount(maVector.size()); + + if(nPointCount > 2) + { + sal_uInt32 nISmallest(0); + sal_uInt32 a(0); + const basegfx::B3DPoint* pSmallest(&maVector[0].getCoordinate()); + const basegfx::B3DPoint* pNext(0); + const basegfx::B3DPoint* pPrev(0); + + // To guarantee a correctly oriented point, choose an outmost one + // which then cannot be concave + for(a = 1; a < nPointCount; a++) + { + const basegfx::B3DPoint& rCandidate = maVector[a].getCoordinate(); + + if((rCandidate.getX() < pSmallest->getX()) + || (rCandidate.getX() == pSmallest->getX() && rCandidate.getY() < pSmallest->getY()) + || (rCandidate.getX() == pSmallest->getX() && rCandidate.getY() == pSmallest->getY() && rCandidate.getZ() < pSmallest->getZ())) + { + nISmallest = a; + pSmallest = &rCandidate; + } + } + + // look for a next point different from minimal one + for(a = (nISmallest + 1) % nPointCount; a != nISmallest; a = (a + 1) % nPointCount) + { + const basegfx::B3DPoint& rCandidate = maVector[a].getCoordinate(); + + if(!rCandidate.equal(*pSmallest)) + { + pNext = &rCandidate; + break; + } + } + + // look for a previous point different from minimal one + for(a = (nISmallest + nPointCount - 1) % nPointCount; a != nISmallest; a = (a + nPointCount - 1) % nPointCount) + { + const basegfx::B3DPoint& rCandidate = maVector[a].getCoordinate(); + + if(!rCandidate.equal(*pSmallest)) + { + pPrev = &rCandidate; + break; + } + } + + // we always have a minimal point. If we also have a different next and previous, + // we can calculate the normal + if(pNext && pPrev) + { + const basegfx::B3DVector aPrev(*pPrev - *pSmallest); + const basegfx::B3DVector aNext(*pNext - *pSmallest); + + aRetval = cross(aPrev, aNext); + aRetval.normalize(); + } + } + + return aRetval; + } + + sal_uInt32 count() const + { + return maVector.size(); + } + + bool operator==(const CoordinateDataArray3D& rCandidate) const + { + return (maVector == rCandidate.maVector); + } + + const basegfx::B3DPoint& getCoordinate(sal_uInt32 nIndex) const + { + return maVector[nIndex].getCoordinate(); + } + + void setCoordinate(sal_uInt32 nIndex, const basegfx::B3DPoint& rValue) + { + maVector[nIndex].setCoordinate(rValue); + } + + void insert(sal_uInt32 nIndex, const CoordinateData3D& rValue, sal_uInt32 nCount) + { + if(nCount) + { + // add nCount copies of rValue + CoordinateData3DVector::iterator aIndex(maVector.begin()); + aIndex += nIndex; + maVector.insert(aIndex, nCount, rValue); + } + } + + void insert(sal_uInt32 nIndex, const CoordinateDataArray3D& rSource) + { + const sal_uInt32 nCount(rSource.maVector.size()); + + if(nCount) + { + // insert data + CoordinateData3DVector::iterator aIndex(maVector.begin()); + aIndex += nIndex; + CoordinateData3DVector::const_iterator aStart(rSource.maVector.begin()); + CoordinateData3DVector::const_iterator aEnd(rSource.maVector.end()); + maVector.insert(aIndex, aStart, aEnd); + } + } + + void remove(sal_uInt32 nIndex, sal_uInt32 nCount) + { + if(nCount) + { + // remove point data + CoordinateData3DVector::iterator aStart(maVector.begin()); + aStart += nIndex; + const CoordinateData3DVector::iterator aEnd(aStart + nCount); + maVector.erase(aStart, aEnd); + } + } + + void flip() + { + if(maVector.size() > 1) + { + const sal_uInt32 nHalfSize(maVector.size() >> 1L); + CoordinateData3DVector::iterator aStart(maVector.begin()); + CoordinateData3DVector::iterator aEnd(maVector.end() - 1L); + + for(sal_uInt32 a(0); a < nHalfSize; a++) + { + ::std::swap(*aStart, *aEnd); + aStart++; + aEnd--; + } + } + } + + void transform(const ::basegfx::B3DHomMatrix& rMatrix) + { + CoordinateData3DVector::iterator aStart(maVector.begin()); + CoordinateData3DVector::iterator aEnd(maVector.end()); + + for(; aStart != aEnd; aStart++) + { + aStart->transform(rMatrix); + } + } +}; + +////////////////////////////////////////////////////////////////////////////// + +class BColorArray +{ + typedef ::std::vector< ::basegfx::BColor > BColorDataVector; + + BColorDataVector maVector; + sal_uInt32 mnUsedEntries; + +public: + explicit BColorArray(sal_uInt32 nCount) + : maVector(nCount), + mnUsedEntries(0L) + { + } + + explicit BColorArray(const BColorArray& rOriginal) + : maVector(rOriginal.maVector), + mnUsedEntries(rOriginal.mnUsedEntries) + { + } + + BColorArray(const BColorArray& rOriginal, sal_uInt32 nIndex, sal_uInt32 nCount) + : maVector(), + mnUsedEntries(0L) + { + BColorDataVector::const_iterator aStart(rOriginal.maVector.begin()); + aStart += nIndex; + BColorDataVector::const_iterator aEnd(aStart); + aEnd += nCount; + maVector.reserve(nCount); + + for(; aStart != aEnd; aStart++) + { + if(!aStart->equalZero()) + mnUsedEntries++; + + maVector.push_back(*aStart); + } + } + + ~BColorArray() + { + } + + sal_uInt32 count() const + { + return maVector.size(); + } + + bool operator==(const BColorArray& rCandidate) const + { + return (maVector == rCandidate.maVector); + } + + bool isUsed() const + { + return (0L != mnUsedEntries); + } + + const ::basegfx::BColor& getBColor(sal_uInt32 nIndex) const + { + return maVector[nIndex]; + } + + void setBColor(sal_uInt32 nIndex, const ::basegfx::BColor& rValue) + { + bool bWasUsed(mnUsedEntries && !maVector[nIndex].equalZero()); + bool bIsUsed(!rValue.equalZero()); + + if(bWasUsed) + { + if(bIsUsed) + { + maVector[nIndex] = rValue; + } + else + { + maVector[nIndex] = ::basegfx::BColor::getEmptyBColor(); + mnUsedEntries--; + } + } + else + { + if(bIsUsed) + { + maVector[nIndex] = rValue; + mnUsedEntries++; + } + } + } + + void insert(sal_uInt32 nIndex, const ::basegfx::BColor& rValue, sal_uInt32 nCount) + { + if(nCount) + { + // add nCount copies of rValue + BColorDataVector::iterator aIndex(maVector.begin()); + aIndex += nIndex; + maVector.insert(aIndex, nCount, rValue); + + if(!rValue.equalZero()) + mnUsedEntries += nCount; + } + } + + void insert(sal_uInt32 nIndex, const BColorArray& rSource) + { + const sal_uInt32 nCount(rSource.maVector.size()); + + if(nCount) + { + // insert data + BColorDataVector::iterator aIndex(maVector.begin()); + aIndex += nIndex; + BColorDataVector::const_iterator aStart(rSource.maVector.begin()); + BColorDataVector::const_iterator aEnd(rSource.maVector.end()); + maVector.insert(aIndex, aStart, aEnd); + + for(; aStart != aEnd; aStart++) + { + if(!aStart->equalZero()) + mnUsedEntries++; + } + } + } + + void remove(sal_uInt32 nIndex, sal_uInt32 nCount) + { + if(nCount) + { + const BColorDataVector::iterator aDeleteStart(maVector.begin() + nIndex); + const BColorDataVector::iterator aDeleteEnd(aDeleteStart + nCount); + BColorDataVector::const_iterator aStart(aDeleteStart); + + for(; mnUsedEntries && aStart != aDeleteEnd; aStart++) + { + if(!aStart->equalZero()) + mnUsedEntries--; + } + + // remove point data + maVector.erase(aDeleteStart, aDeleteEnd); + } + } + + void flip() + { + if(maVector.size() > 1) + { + const sal_uInt32 nHalfSize(maVector.size() >> 1L); + BColorDataVector::iterator aStart(maVector.begin()); + BColorDataVector::iterator aEnd(maVector.end() - 1L); + + for(sal_uInt32 a(0); a < nHalfSize; a++) + { + ::std::swap(*aStart, *aEnd); + aStart++; + aEnd--; + } + } + } +}; + +////////////////////////////////////////////////////////////////////////////// + +class NormalsArray3D +{ + typedef ::std::vector< ::basegfx::B3DVector > NormalsData3DVector; + + NormalsData3DVector maVector; + sal_uInt32 mnUsedEntries; + +public: + explicit NormalsArray3D(sal_uInt32 nCount) + : maVector(nCount), + mnUsedEntries(0L) + { + } + + explicit NormalsArray3D(const NormalsArray3D& rOriginal) + : maVector(rOriginal.maVector), + mnUsedEntries(rOriginal.mnUsedEntries) + { + } + + NormalsArray3D(const NormalsArray3D& rOriginal, sal_uInt32 nIndex, sal_uInt32 nCount) + : maVector(), + mnUsedEntries(0L) + { + NormalsData3DVector::const_iterator aStart(rOriginal.maVector.begin()); + aStart += nIndex; + NormalsData3DVector::const_iterator aEnd(aStart); + aEnd += nCount; + maVector.reserve(nCount); + + for(; aStart != aEnd; aStart++) + { + if(!aStart->equalZero()) + mnUsedEntries++; + + maVector.push_back(*aStart); + } + } + + ~NormalsArray3D() + { + } + + sal_uInt32 count() const + { + return maVector.size(); + } + + bool operator==(const NormalsArray3D& rCandidate) const + { + return (maVector == rCandidate.maVector); + } + + bool isUsed() const + { + return (0L != mnUsedEntries); + } + + const ::basegfx::B3DVector& getNormal(sal_uInt32 nIndex) const + { + return maVector[nIndex]; + } + + void setNormal(sal_uInt32 nIndex, const ::basegfx::B3DVector& rValue) + { + bool bWasUsed(mnUsedEntries && !maVector[nIndex].equalZero()); + bool bIsUsed(!rValue.equalZero()); + + if(bWasUsed) + { + if(bIsUsed) + { + maVector[nIndex] = rValue; + } + else + { + maVector[nIndex] = ::basegfx::B3DVector::getEmptyVector(); + mnUsedEntries--; + } + } + else + { + if(bIsUsed) + { + maVector[nIndex] = rValue; + mnUsedEntries++; + } + } + } + + void insert(sal_uInt32 nIndex, const ::basegfx::B3DVector& rValue, sal_uInt32 nCount) + { + if(nCount) + { + // add nCount copies of rValue + NormalsData3DVector::iterator aIndex(maVector.begin()); + aIndex += nIndex; + maVector.insert(aIndex, nCount, rValue); + + if(!rValue.equalZero()) + mnUsedEntries += nCount; + } + } + + void insert(sal_uInt32 nIndex, const NormalsArray3D& rSource) + { + const sal_uInt32 nCount(rSource.maVector.size()); + + if(nCount) + { + // insert data + NormalsData3DVector::iterator aIndex(maVector.begin()); + aIndex += nIndex; + NormalsData3DVector::const_iterator aStart(rSource.maVector.begin()); + NormalsData3DVector::const_iterator aEnd(rSource.maVector.end()); + maVector.insert(aIndex, aStart, aEnd); + + for(; aStart != aEnd; aStart++) + { + if(!aStart->equalZero()) + mnUsedEntries++; + } + } + } + + void remove(sal_uInt32 nIndex, sal_uInt32 nCount) + { + if(nCount) + { + const NormalsData3DVector::iterator aDeleteStart(maVector.begin() + nIndex); + const NormalsData3DVector::iterator aDeleteEnd(aDeleteStart + nCount); + NormalsData3DVector::const_iterator aStart(aDeleteStart); + + for(; mnUsedEntries && aStart != aDeleteEnd; aStart++) + { + if(!aStart->equalZero()) + mnUsedEntries--; + } + + // remove point data + maVector.erase(aDeleteStart, aDeleteEnd); + } + } + + void flip() + { + if(maVector.size() > 1) + { + const sal_uInt32 nHalfSize(maVector.size() >> 1L); + NormalsData3DVector::iterator aStart(maVector.begin()); + NormalsData3DVector::iterator aEnd(maVector.end() - 1L); + + for(sal_uInt32 a(0); a < nHalfSize; a++) + { + ::std::swap(*aStart, *aEnd); + aStart++; + aEnd--; + } + } + } + + void transform(const basegfx::B3DHomMatrix& rMatrix) + { + NormalsData3DVector::iterator aStart(maVector.begin()); + NormalsData3DVector::iterator aEnd(maVector.end()); + + for(; aStart != aEnd; aStart++) + { + (*aStart) *= rMatrix; + } + } +}; + +////////////////////////////////////////////////////////////////////////////// + +class TextureCoordinate2D +{ + typedef ::std::vector< ::basegfx::B2DPoint > TextureData2DVector; + + TextureData2DVector maVector; + sal_uInt32 mnUsedEntries; + +public: + explicit TextureCoordinate2D(sal_uInt32 nCount) + : maVector(nCount), + mnUsedEntries(0L) + { + } + + explicit TextureCoordinate2D(const TextureCoordinate2D& rOriginal) + : maVector(rOriginal.maVector), + mnUsedEntries(rOriginal.mnUsedEntries) + { + } + + TextureCoordinate2D(const TextureCoordinate2D& rOriginal, sal_uInt32 nIndex, sal_uInt32 nCount) + : maVector(), + mnUsedEntries(0L) + { + TextureData2DVector::const_iterator aStart(rOriginal.maVector.begin()); + aStart += nIndex; + TextureData2DVector::const_iterator aEnd(aStart); + aEnd += nCount; + maVector.reserve(nCount); + + for(; aStart != aEnd; aStart++) + { + if(!aStart->equalZero()) + mnUsedEntries++; + + maVector.push_back(*aStart); + } + } + + ~TextureCoordinate2D() + { + } + + sal_uInt32 count() const + { + return maVector.size(); + } + + bool operator==(const TextureCoordinate2D& rCandidate) const + { + return (maVector == rCandidate.maVector); + } + + bool isUsed() const + { + return (0L != mnUsedEntries); + } + + const ::basegfx::B2DPoint& getTextureCoordinate(sal_uInt32 nIndex) const + { + return maVector[nIndex]; + } + + void setTextureCoordinate(sal_uInt32 nIndex, const ::basegfx::B2DPoint& rValue) + { + bool bWasUsed(mnUsedEntries && !maVector[nIndex].equalZero()); + bool bIsUsed(!rValue.equalZero()); + + if(bWasUsed) + { + if(bIsUsed) + { + maVector[nIndex] = rValue; + } + else + { + maVector[nIndex] = ::basegfx::B2DPoint::getEmptyPoint(); + mnUsedEntries--; + } + } + else + { + if(bIsUsed) + { + maVector[nIndex] = rValue; + mnUsedEntries++; + } + } + } + + void insert(sal_uInt32 nIndex, const ::basegfx::B2DPoint& rValue, sal_uInt32 nCount) + { + if(nCount) + { + // add nCount copies of rValue + TextureData2DVector::iterator aIndex(maVector.begin()); + aIndex += nIndex; + maVector.insert(aIndex, nCount, rValue); + + if(!rValue.equalZero()) + mnUsedEntries += nCount; + } + } + + void insert(sal_uInt32 nIndex, const TextureCoordinate2D& rSource) + { + const sal_uInt32 nCount(rSource.maVector.size()); + + if(nCount) + { + // insert data + TextureData2DVector::iterator aIndex(maVector.begin()); + aIndex += nIndex; + TextureData2DVector::const_iterator aStart(rSource.maVector.begin()); + TextureData2DVector::const_iterator aEnd(rSource.maVector.end()); + maVector.insert(aIndex, aStart, aEnd); + + for(; aStart != aEnd; aStart++) + { + if(!aStart->equalZero()) + mnUsedEntries++; + } + } + } + + void remove(sal_uInt32 nIndex, sal_uInt32 nCount) + { + if(nCount) + { + const TextureData2DVector::iterator aDeleteStart(maVector.begin() + nIndex); + const TextureData2DVector::iterator aDeleteEnd(aDeleteStart + nCount); + TextureData2DVector::const_iterator aStart(aDeleteStart); + + for(; mnUsedEntries && aStart != aDeleteEnd; aStart++) + { + if(!aStart->equalZero()) + mnUsedEntries--; + } + + // remove point data + maVector.erase(aDeleteStart, aDeleteEnd); + } + } + + void flip() + { + if(maVector.size() > 1) + { + const sal_uInt32 nHalfSize(maVector.size() >> 1L); + TextureData2DVector::iterator aStart(maVector.begin()); + TextureData2DVector::iterator aEnd(maVector.end() - 1L); + + for(sal_uInt32 a(0); a < nHalfSize; a++) + { + ::std::swap(*aStart, *aEnd); + aStart++; + aEnd--; + } + } + } + + void transform(const ::basegfx::B2DHomMatrix& rMatrix) + { + TextureData2DVector::iterator aStart(maVector.begin()); + TextureData2DVector::iterator aEnd(maVector.end()); + + for(; aStart != aEnd; aStart++) + { + (*aStart) *= rMatrix; + } + } +}; + +////////////////////////////////////////////////////////////////////////////// + +class ImplB3DPolygon +{ + // The point vector. This vector exists always and defines the + // count of members. + CoordinateDataArray3D maPoints; + + // The BColor vector. This vectors are created on demand + // and may be zero. + BColorArray* mpBColors; + + // The Normals vector. This vectors are created on demand + // and may be zero. + NormalsArray3D* mpNormals; + + // The TextureCoordinates vector. This vectors are created on demand + // and may be zero. + TextureCoordinate2D* mpTextureCoordiantes; + + // The calculated plane normal. mbPlaneNormalValid says if it's valid. + ::basegfx::B3DVector maPlaneNormal; + + // bitfield + // flag which decides if this polygon is opened or closed + unsigned mbIsClosed : 1; + + // flag which says if maPlaneNormal is up-to-date + unsigned mbPlaneNormalValid : 1; + +protected: + void invalidatePlaneNormal() + { + if(mbPlaneNormalValid) + { + mbPlaneNormalValid = false; + } + } + +public: + // This constructor is only used from the static identity polygon, thus + // the RefCount is set to 1 to never 'delete' this static incarnation. + ImplB3DPolygon() + : maPoints(0L), + mpBColors(0L), + mpNormals(0L), + mpTextureCoordiantes(0L), + maPlaneNormal(::basegfx::B3DVector::getEmptyVector()), + mbIsClosed(false), + mbPlaneNormalValid(true) + { + // complete initialization with defaults + } + + ImplB3DPolygon(const ImplB3DPolygon& rToBeCopied) + : maPoints(rToBeCopied.maPoints), + mpBColors(0L), + mpNormals(0L), + mpTextureCoordiantes(0L), + maPlaneNormal(rToBeCopied.maPlaneNormal), + mbIsClosed(rToBeCopied.mbIsClosed), + mbPlaneNormalValid(rToBeCopied.mbPlaneNormalValid) + { + // complete initialization using copy + if(rToBeCopied.mpBColors && rToBeCopied.mpBColors->isUsed()) + { + mpBColors = new BColorArray(*rToBeCopied.mpBColors); + } + + if(rToBeCopied.mpNormals && rToBeCopied.mpNormals->isUsed()) + { + mpNormals = new NormalsArray3D(*rToBeCopied.mpNormals); + } + + if(rToBeCopied.mpTextureCoordiantes && rToBeCopied.mpTextureCoordiantes->isUsed()) + { + mpTextureCoordiantes = new TextureCoordinate2D(*rToBeCopied.mpTextureCoordiantes); + } + } + + ImplB3DPolygon(const ImplB3DPolygon& rToBeCopied, sal_uInt32 nIndex, sal_uInt32 nCount) + : maPoints(rToBeCopied.maPoints, nIndex, nCount), + mpBColors(0L), + mpNormals(0L), + mpTextureCoordiantes(0L), + maPlaneNormal(::basegfx::B3DVector::getEmptyVector()), + mbIsClosed(rToBeCopied.mbIsClosed), + mbPlaneNormalValid(false) + { + // complete initialization using partly copy + if(rToBeCopied.mpBColors && rToBeCopied.mpBColors->isUsed()) + { + mpBColors = new BColorArray(*rToBeCopied.mpBColors, nIndex, nCount); + + if(!mpBColors->isUsed()) + { + delete mpBColors; + mpBColors = 0L; + } + } + + if(rToBeCopied.mpNormals && rToBeCopied.mpNormals->isUsed()) + { + mpNormals = new NormalsArray3D(*rToBeCopied.mpNormals, nIndex, nCount); + + if(!mpNormals->isUsed()) + { + delete mpNormals; + mpNormals = 0L; + } + } + + if(rToBeCopied.mpTextureCoordiantes && rToBeCopied.mpTextureCoordiantes->isUsed()) + { + mpTextureCoordiantes = new TextureCoordinate2D(*rToBeCopied.mpTextureCoordiantes, nIndex, nCount); + + if(!mpTextureCoordiantes->isUsed()) + { + delete mpTextureCoordiantes; + mpTextureCoordiantes = 0L; + } + } + } + + ~ImplB3DPolygon() + { + if(mpBColors) + { + delete mpBColors; + mpBColors = 0L; + } + + if(mpNormals) + { + delete mpNormals; + mpNormals = 0L; + } + + if(mpTextureCoordiantes) + { + delete mpTextureCoordiantes; + mpTextureCoordiantes = 0L; + } + } + + sal_uInt32 count() const + { + return maPoints.count(); + } + + bool isClosed() const + { + return mbIsClosed; + } + + void setClosed(bool bNew) + { + if(bNew != (bool)mbIsClosed) + { + mbIsClosed = bNew; + } + } + + inline bool impBColorsAreEqual(const ImplB3DPolygon& rCandidate) const + { + bool bBColorsAreEqual(true); + + if(mpBColors) + { + if(rCandidate.mpBColors) + { + bBColorsAreEqual = (*mpBColors == *rCandidate.mpBColors); + } + else + { + // candidate has no BColors, so it's assumed all unused. + bBColorsAreEqual = !mpBColors->isUsed(); + } + } + else + { + if(rCandidate.mpBColors) + { + // we have no TextureCoordiantes, so it's assumed all unused. + bBColorsAreEqual = !rCandidate.mpBColors->isUsed(); + } + } + + return bBColorsAreEqual; + } + + inline bool impNormalsAreEqual(const ImplB3DPolygon& rCandidate) const + { + bool bNormalsAreEqual(true); + + if(mpNormals) + { + if(rCandidate.mpNormals) + { + bNormalsAreEqual = (*mpNormals == *rCandidate.mpNormals); + } + else + { + // candidate has no normals, so it's assumed all unused. + bNormalsAreEqual = !mpNormals->isUsed(); + } + } + else + { + if(rCandidate.mpNormals) + { + // we have no normals, so it's assumed all unused. + bNormalsAreEqual = !rCandidate.mpNormals->isUsed(); + } + } + + return bNormalsAreEqual; + } + + inline bool impTextureCoordinatesAreEqual(const ImplB3DPolygon& rCandidate) const + { + bool bTextureCoordinatesAreEqual(true); + + if(mpTextureCoordiantes) + { + if(rCandidate.mpTextureCoordiantes) + { + bTextureCoordinatesAreEqual = (*mpTextureCoordiantes == *rCandidate.mpTextureCoordiantes); + } + else + { + // candidate has no TextureCoordinates, so it's assumed all unused. + bTextureCoordinatesAreEqual = !mpTextureCoordiantes->isUsed(); + } + } + else + { + if(rCandidate.mpTextureCoordiantes) + { + // we have no TextureCoordiantes, so it's assumed all unused. + bTextureCoordinatesAreEqual = !rCandidate.mpTextureCoordiantes->isUsed(); + } + } + + return bTextureCoordinatesAreEqual; + } + + bool operator==(const ImplB3DPolygon& rCandidate) const + { + if(mbIsClosed == rCandidate.mbIsClosed) + { + if(maPoints == rCandidate.maPoints) + { + if(impBColorsAreEqual(rCandidate)) + { + if(impNormalsAreEqual(rCandidate)) + { + if(impTextureCoordinatesAreEqual(rCandidate)) + { + return true; + } + } + } + } + } + + return false; + } + + const ::basegfx::B3DPoint& getPoint(sal_uInt32 nIndex) const + { + return maPoints.getCoordinate(nIndex); + } + + void setPoint(sal_uInt32 nIndex, const ::basegfx::B3DPoint& rValue) + { + maPoints.setCoordinate(nIndex, rValue); + invalidatePlaneNormal(); + } + + void insert(sal_uInt32 nIndex, const ::basegfx::B3DPoint& rPoint, sal_uInt32 nCount) + { + if(nCount) + { + CoordinateData3D aCoordinate(rPoint); + maPoints.insert(nIndex, aCoordinate, nCount); + invalidatePlaneNormal(); + + if(mpBColors) + { + mpBColors->insert(nIndex, ::basegfx::BColor::getEmptyBColor(), nCount); + } + + if(mpNormals) + { + mpNormals->insert(nIndex, ::basegfx::B3DVector::getEmptyVector(), nCount); + } + + if(mpTextureCoordiantes) + { + mpTextureCoordiantes->insert(nIndex, ::basegfx::B2DPoint::getEmptyPoint(), nCount); + } + } + } + + const ::basegfx::BColor& getBColor(sal_uInt32 nIndex) const + { + if(mpBColors) + { + return mpBColors->getBColor(nIndex); + } + else + { + return ::basegfx::BColor::getEmptyBColor(); + } + } + + void setBColor(sal_uInt32 nIndex, const ::basegfx::BColor& rValue) + { + if(!mpBColors) + { + if(!rValue.equalZero()) + { + mpBColors = new BColorArray(maPoints.count()); + mpBColors->setBColor(nIndex, rValue); + } + } + else + { + mpBColors->setBColor(nIndex, rValue); + + if(!mpBColors->isUsed()) + { + delete mpBColors; + mpBColors = 0L; + } + } + } + + bool areBColorsUsed() const + { + return (mpBColors && mpBColors->isUsed()); + } + + void clearBColors() + { + if(mpBColors) + { + delete mpBColors; + mpBColors = 0L; + } + } + + const ::basegfx::B3DVector& getNormal() const + { + if(!mbPlaneNormalValid) + { + const_cast< ImplB3DPolygon* >(this)->maPlaneNormal = maPoints.getNormal(); + const_cast< ImplB3DPolygon* >(this)->mbPlaneNormalValid = true; + } + + return maPlaneNormal; + } + + const ::basegfx::B3DVector& getNormal(sal_uInt32 nIndex) const + { + if(mpNormals) + { + return mpNormals->getNormal(nIndex); + } + else + { + return ::basegfx::B3DVector::getEmptyVector(); + } + } + + void setNormal(sal_uInt32 nIndex, const ::basegfx::B3DVector& rValue) + { + if(!mpNormals) + { + if(!rValue.equalZero()) + { + mpNormals = new NormalsArray3D(maPoints.count()); + mpNormals->setNormal(nIndex, rValue); + } + } + else + { + mpNormals->setNormal(nIndex, rValue); + + if(!mpNormals->isUsed()) + { + delete mpNormals; + mpNormals = 0L; + } + } + } + + void transformNormals(const ::basegfx::B3DHomMatrix& rMatrix) + { + if(mpNormals) + { + mpNormals->transform(rMatrix); + } + } + + bool areNormalsUsed() const + { + return (mpNormals && mpNormals->isUsed()); + } + + void clearNormals() + { + if(mpNormals) + { + delete mpNormals; + mpNormals = 0L; + } + } + + const ::basegfx::B2DPoint& getTextureCoordinate(sal_uInt32 nIndex) const + { + if(mpTextureCoordiantes) + { + return mpTextureCoordiantes->getTextureCoordinate(nIndex); + } + else + { + return ::basegfx::B2DPoint::getEmptyPoint(); + } + } + + void setTextureCoordinate(sal_uInt32 nIndex, const ::basegfx::B2DPoint& rValue) + { + if(!mpTextureCoordiantes) + { + if(!rValue.equalZero()) + { + mpTextureCoordiantes = new TextureCoordinate2D(maPoints.count()); + mpTextureCoordiantes->setTextureCoordinate(nIndex, rValue); + } + } + else + { + mpTextureCoordiantes->setTextureCoordinate(nIndex, rValue); + + if(!mpTextureCoordiantes->isUsed()) + { + delete mpTextureCoordiantes; + mpTextureCoordiantes = 0L; + } + } + } + + bool areTextureCoordinatesUsed() const + { + return (mpTextureCoordiantes && mpTextureCoordiantes->isUsed()); + } + + void clearTextureCoordinates() + { + if(mpTextureCoordiantes) + { + delete mpTextureCoordiantes; + mpTextureCoordiantes = 0L; + } + } + + void transformTextureCoordinates(const ::basegfx::B2DHomMatrix& rMatrix) + { + if(mpTextureCoordiantes) + { + mpTextureCoordiantes->transform(rMatrix); + } + } + + void insert(sal_uInt32 nIndex, const ImplB3DPolygon& rSource) + { + const sal_uInt32 nCount(rSource.maPoints.count()); + + if(nCount) + { + maPoints.insert(nIndex, rSource.maPoints); + invalidatePlaneNormal(); + + if(rSource.mpBColors && rSource.mpBColors->isUsed()) + { + if(!mpBColors) + { + mpBColors = new BColorArray(maPoints.count()); + } + + mpBColors->insert(nIndex, *rSource.mpBColors); + } + else + { + if(mpBColors) + { + mpBColors->insert(nIndex, ::basegfx::BColor::getEmptyBColor(), nCount); + } + } + + if(rSource.mpNormals && rSource.mpNormals->isUsed()) + { + if(!mpNormals) + { + mpNormals = new NormalsArray3D(maPoints.count()); + } + + mpNormals->insert(nIndex, *rSource.mpNormals); + } + else + { + if(mpNormals) + { + mpNormals->insert(nIndex, ::basegfx::B3DVector::getEmptyVector(), nCount); + } + } + + if(rSource.mpTextureCoordiantes && rSource.mpTextureCoordiantes->isUsed()) + { + if(!mpTextureCoordiantes) + { + mpTextureCoordiantes = new TextureCoordinate2D(maPoints.count()); + } + + mpTextureCoordiantes->insert(nIndex, *rSource.mpTextureCoordiantes); + } + else + { + if(mpTextureCoordiantes) + { + mpTextureCoordiantes->insert(nIndex, ::basegfx::B2DPoint::getEmptyPoint(), nCount); + } + } + } + } + + void remove(sal_uInt32 nIndex, sal_uInt32 nCount) + { + if(nCount) + { + maPoints.remove(nIndex, nCount); + invalidatePlaneNormal(); + + if(mpBColors) + { + mpBColors->remove(nIndex, nCount); + + if(!mpBColors->isUsed()) + { + delete mpBColors; + mpBColors = 0L; + } + } + + if(mpNormals) + { + mpNormals->remove(nIndex, nCount); + + if(!mpNormals->isUsed()) + { + delete mpNormals; + mpNormals = 0L; + } + } + + if(mpTextureCoordiantes) + { + mpTextureCoordiantes->remove(nIndex, nCount); + + if(!mpTextureCoordiantes->isUsed()) + { + delete mpTextureCoordiantes; + mpTextureCoordiantes = 0L; + } + } + } + } + + void flip() + { + if(maPoints.count() > 1) + { + maPoints.flip(); + + if(mbPlaneNormalValid) + { + // mirror plane normal + maPlaneNormal = -maPlaneNormal; + } + + if(mpBColors) + { + mpBColors->flip(); + } + + if(mpNormals) + { + mpNormals->flip(); + } + + if(mpTextureCoordiantes) + { + mpTextureCoordiantes->flip(); + } + } + } + + bool hasDoublePoints() const + { + if(mbIsClosed) + { + // check for same start and end point + const sal_uInt32 nIndex(maPoints.count() - 1L); + + if(maPoints.getCoordinate(0L) == maPoints.getCoordinate(nIndex)) + { + const bool bBColorEqual(!mpBColors || (mpBColors->getBColor(0L) == mpBColors->getBColor(nIndex))); + + if(bBColorEqual) + { + const bool bNormalsEqual(!mpNormals || (mpNormals->getNormal(0L) == mpNormals->getNormal(nIndex))); + + if(bNormalsEqual) + { + const bool bTextureCoordinatesEqual(!mpTextureCoordiantes || (mpTextureCoordiantes->getTextureCoordinate(0L) == mpTextureCoordiantes->getTextureCoordinate(nIndex))); + + if(bTextureCoordinatesEqual) + { + return true; + } + } + } + } + } + + // test for range + for(sal_uInt32 a(0L); a < maPoints.count() - 1L; a++) + { + if(maPoints.getCoordinate(a) == maPoints.getCoordinate(a + 1L)) + { + const bool bBColorEqual(!mpBColors || (mpBColors->getBColor(a) == mpBColors->getBColor(a + 1L))); + + if(bBColorEqual) + { + const bool bNormalsEqual(!mpNormals || (mpNormals->getNormal(a) == mpNormals->getNormal(a + 1L))); + + if(bNormalsEqual) + { + const bool bTextureCoordinatesEqual(!mpTextureCoordiantes || (mpTextureCoordiantes->getTextureCoordinate(a) == mpTextureCoordiantes->getTextureCoordinate(a + 1L))); + + if(bTextureCoordinatesEqual) + { + return true; + } + } + } + } + } + + return false; + } + + void removeDoublePointsAtBeginEnd() + { + // Only remove DoublePoints at Begin and End when poly is closed + if(mbIsClosed) + { + bool bRemove; + + do + { + bRemove = false; + + if(maPoints.count() > 1L) + { + const sal_uInt32 nIndex(maPoints.count() - 1L); + bRemove = (maPoints.getCoordinate(0L) == maPoints.getCoordinate(nIndex)); + + if(bRemove && mpBColors && !(mpBColors->getBColor(0L) == mpBColors->getBColor(nIndex))) + { + bRemove = false; + } + + if(bRemove && mpNormals && !(mpNormals->getNormal(0L) == mpNormals->getNormal(nIndex))) + { + bRemove = false; + } + + if(bRemove && mpTextureCoordiantes && !(mpTextureCoordiantes->getTextureCoordinate(0L) == mpTextureCoordiantes->getTextureCoordinate(nIndex))) + { + bRemove = false; + } + } + + if(bRemove) + { + const sal_uInt32 nIndex(maPoints.count() - 1L); + remove(nIndex, 1L); + } + } while(bRemove); + } + } + + void removeDoublePointsWholeTrack() + { + sal_uInt32 nIndex(0L); + + // test as long as there are at least two points and as long as the index + // is smaller or equal second last point + while((maPoints.count() > 1L) && (nIndex <= maPoints.count() - 2L)) + { + const sal_uInt32 nNextIndex(nIndex + 1L); + bool bRemove(maPoints.getCoordinate(nIndex) == maPoints.getCoordinate(nNextIndex)); + + if(bRemove && mpBColors && !(mpBColors->getBColor(nIndex) == mpBColors->getBColor(nNextIndex))) + { + bRemove = false; + } + + if(bRemove && mpNormals && !(mpNormals->getNormal(nIndex) == mpNormals->getNormal(nNextIndex))) + { + bRemove = false; + } + + if(bRemove && mpTextureCoordiantes && !(mpTextureCoordiantes->getTextureCoordinate(nIndex) == mpTextureCoordiantes->getTextureCoordinate(nNextIndex))) + { + bRemove = false; + } + + if(bRemove) + { + // if next is same as index and the control vectors are unused, delete index + remove(nIndex, 1L); + } + else + { + // if different, step forward + nIndex++; + } + } + } + + void transform(const ::basegfx::B3DHomMatrix& rMatrix) + { + maPoints.transform(rMatrix); + + // Here, it seems to be possible to transform a valid plane normal and to avoid + // invalidation, but it's not true. If the transformation contains shears or e.g. + // perspective projection, the orthogonality to the transformed plane will not + // be preserved. It may be possible to test that at the matrix to not invalidate in + // all cases or to extract a matrix which does not 'shear' the vector which is + // a normal in this case. As long as this is not sure, i will just invalidate. + invalidatePlaneNormal(); + } +}; + +////////////////////////////////////////////////////////////////////////////// + +namespace basegfx +{ + namespace { struct DefaultPolygon : public rtl::Static< B3DPolygon::ImplType, + DefaultPolygon > {}; } + + B3DPolygon::B3DPolygon() : + mpPolygon(DefaultPolygon::get()) + { + } + + B3DPolygon::B3DPolygon(const B3DPolygon& rPolygon) : + mpPolygon(rPolygon.mpPolygon) + { + } + + B3DPolygon::B3DPolygon(const B3DPolygon& rPolygon, sal_uInt32 nIndex, sal_uInt32 nCount) : + mpPolygon(ImplB3DPolygon(*rPolygon.mpPolygon, nIndex, nCount)) + { + // TODO(P2): one extra temporary here (cow_wrapper copies + // given ImplB3DPolygon into its internal impl_t wrapper type) + OSL_ENSURE(nIndex + nCount > rPolygon.mpPolygon->count(), "B3DPolygon constructor outside range (!)"); + } + + B3DPolygon::~B3DPolygon() + { + } + + B3DPolygon& B3DPolygon::operator=(const B3DPolygon& rPolygon) + { + mpPolygon = rPolygon.mpPolygon; + return *this; + } + + void B3DPolygon::makeUnique() + { + mpPolygon.make_unique(); + } + + bool B3DPolygon::operator==(const B3DPolygon& rPolygon) const + { + if(mpPolygon.same_object(rPolygon.mpPolygon)) + return true; + + return (*mpPolygon == *rPolygon.mpPolygon); + } + + bool B3DPolygon::operator!=(const B3DPolygon& rPolygon) const + { + return !(*this == rPolygon); + } + + sal_uInt32 B3DPolygon::count() const + { + return mpPolygon->count(); + } + + basegfx::B3DPoint B3DPolygon::getB3DPoint(sal_uInt32 nIndex) const + { + OSL_ENSURE(nIndex < mpPolygon->count(), "B3DPolygon access outside range (!)"); + + return mpPolygon->getPoint(nIndex); + } + + void B3DPolygon::setB3DPoint(sal_uInt32 nIndex, const basegfx::B3DPoint& rValue) + { + OSL_ENSURE(nIndex < mpPolygon->count(), "B3DPolygon access outside range (!)"); + + if(getB3DPoint(nIndex) != rValue) + mpPolygon->setPoint(nIndex, rValue); + } + + BColor B3DPolygon::getBColor(sal_uInt32 nIndex) const + { + OSL_ENSURE(nIndex < mpPolygon->count(), "B3DPolygon access outside range (!)"); + + return mpPolygon->getBColor(nIndex); + } + + void B3DPolygon::setBColor(sal_uInt32 nIndex, const BColor& rValue) + { + OSL_ENSURE(nIndex < mpPolygon->count(), "B3DPolygon access outside range (!)"); + + if(mpPolygon->getBColor(nIndex) != rValue) + mpPolygon->setBColor(nIndex, rValue); + } + + bool B3DPolygon::areBColorsUsed() const + { + return mpPolygon->areBColorsUsed(); + } + + void B3DPolygon::clearBColors() + { + if(mpPolygon->areBColorsUsed()) + mpPolygon->clearBColors(); + } + + B3DVector B3DPolygon::getNormal() const + { + return mpPolygon->getNormal(); + } + + B3DVector B3DPolygon::getNormal(sal_uInt32 nIndex) const + { + OSL_ENSURE(nIndex < mpPolygon->count(), "B3DPolygon access outside range (!)"); + + return mpPolygon->getNormal(nIndex); + } + + void B3DPolygon::setNormal(sal_uInt32 nIndex, const B3DVector& rValue) + { + OSL_ENSURE(nIndex < mpPolygon->count(), "B3DPolygon access outside range (!)"); + + if(mpPolygon->getNormal(nIndex) != rValue) + mpPolygon->setNormal(nIndex, rValue); + } + + void B3DPolygon::transformNormals(const B3DHomMatrix& rMatrix) + { + if(mpPolygon->areNormalsUsed() && !rMatrix.isIdentity()) + mpPolygon->transformNormals(rMatrix); + } + + bool B3DPolygon::areNormalsUsed() const + { + return mpPolygon->areNormalsUsed(); + } + + void B3DPolygon::clearNormals() + { + if(mpPolygon->areNormalsUsed()) + mpPolygon->clearNormals(); + } + + B2DPoint B3DPolygon::getTextureCoordinate(sal_uInt32 nIndex) const + { + OSL_ENSURE(nIndex < mpPolygon->count(), "B3DPolygon access outside range (!)"); + + return mpPolygon->getTextureCoordinate(nIndex); + } + + void B3DPolygon::setTextureCoordinate(sal_uInt32 nIndex, const B2DPoint& rValue) + { + OSL_ENSURE(nIndex < mpPolygon->count(), "B3DPolygon access outside range (!)"); + + if(mpPolygon->getTextureCoordinate(nIndex) != rValue) + mpPolygon->setTextureCoordinate(nIndex, rValue); + } + + void B3DPolygon::transformTextureCoordiantes(const B2DHomMatrix& rMatrix) + { + if(mpPolygon->areTextureCoordinatesUsed() && !rMatrix.isIdentity()) + mpPolygon->transformTextureCoordinates(rMatrix); + } + + bool B3DPolygon::areTextureCoordinatesUsed() const + { + return mpPolygon->areTextureCoordinatesUsed(); + } + + void B3DPolygon::clearTextureCoordinates() + { + if(mpPolygon->areTextureCoordinatesUsed()) + mpPolygon->clearTextureCoordinates(); + } + + void B3DPolygon::insert(sal_uInt32 nIndex, const ::basegfx::B3DPoint& rPoint, sal_uInt32 nCount) + { + OSL_ENSURE(nIndex <= mpPolygon->count(), "B3DPolygon Insert outside range (!)"); + + if(nCount) + mpPolygon->insert(nIndex, rPoint, nCount); + } + + void B3DPolygon::append(const basegfx::B3DPoint& rPoint, sal_uInt32 nCount) + { + if(nCount) + mpPolygon->insert(mpPolygon->count(), rPoint, nCount); + } + + void B3DPolygon::insert(sal_uInt32 nIndex, const B3DPolygon& rPoly, sal_uInt32 nIndex2, sal_uInt32 nCount) + { + OSL_ENSURE(nIndex <= mpPolygon->count(), "B3DPolygon Insert outside range (!)"); + + if(rPoly.count()) + { + if(!nCount) + { + nCount = rPoly.count(); + } + + if(0L == nIndex2 && nCount == rPoly.count()) + { + mpPolygon->insert(nIndex, *rPoly.mpPolygon); + } + else + { + OSL_ENSURE(nIndex2 + nCount <= rPoly.mpPolygon->count(), "B3DPolygon Insert outside range (!)"); + ImplB3DPolygon aTempPoly(*rPoly.mpPolygon, nIndex2, nCount); + mpPolygon->insert(nIndex, aTempPoly); + } + } + } + + void B3DPolygon::append(const B3DPolygon& rPoly, sal_uInt32 nIndex, sal_uInt32 nCount) + { + if(rPoly.count()) + { + if(!nCount) + { + nCount = rPoly.count(); + } + + if(0L == nIndex && nCount == rPoly.count()) + { + mpPolygon->insert(mpPolygon->count(), *rPoly.mpPolygon); + } + else + { + OSL_ENSURE(nIndex + nCount <= rPoly.mpPolygon->count(), "B3DPolygon Append outside range (!)"); + ImplB3DPolygon aTempPoly(*rPoly.mpPolygon, nIndex, nCount); + mpPolygon->insert(mpPolygon->count(), aTempPoly); + } + } + } + + void B3DPolygon::remove(sal_uInt32 nIndex, sal_uInt32 nCount) + { + OSL_ENSURE(nIndex + nCount <= mpPolygon->count(), "B3DPolygon Remove outside range (!)"); + + if(nCount) + mpPolygon->remove(nIndex, nCount); + } + + void B3DPolygon::clear() + { + mpPolygon = DefaultPolygon::get(); + } + + bool B3DPolygon::isClosed() const + { + return mpPolygon->isClosed(); + } + + void B3DPolygon::setClosed(bool bNew) + { + if(isClosed() != bNew) + mpPolygon->setClosed(bNew); + } + + void B3DPolygon::flip() + { + if(count() > 1) + mpPolygon->flip(); + } + + bool B3DPolygon::hasDoublePoints() const + { + return (mpPolygon->count() > 1L && mpPolygon->hasDoublePoints()); + } + + void B3DPolygon::removeDoublePoints() + { + if(hasDoublePoints()) + { + mpPolygon->removeDoublePointsAtBeginEnd(); + mpPolygon->removeDoublePointsWholeTrack(); + } + } + + void B3DPolygon::transform(const basegfx::B3DHomMatrix& rMatrix) + { + if(mpPolygon->count() && !rMatrix.isIdentity()) + { + mpPolygon->transform(rMatrix); + } + } +} // end of namespace basegfx + +////////////////////////////////////////////////////////////////////////////// +// eof diff --git a/basegfx/source/polygon/b3dpolygonclipper.cxx b/basegfx/source/polygon/b3dpolygonclipper.cxx new file mode 100644 index 000000000000..88ebf12dae7b --- /dev/null +++ b/basegfx/source/polygon/b3dpolygonclipper.cxx @@ -0,0 +1,574 @@ +/************************************************************************* + * + * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER. + * + * Copyright 2000, 2010 Oracle and/or its affiliates. + * + * OpenOffice.org - a multi-platform office productivity suite + * + * This file is part of OpenOffice.org. + * + * OpenOffice.org is free software: you can redistribute it and/or modify + * it under the terms of the GNU Lesser General Public License version 3 + * only, as published by the Free Software Foundation. + * + * OpenOffice.org is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU Lesser General Public License version 3 for more details + * (a copy is included in the LICENSE file that accompanied this code). + * + * You should have received a copy of the GNU Lesser General Public License + * version 3 along with OpenOffice.org. If not, see + * <http://www.openoffice.org/license.html> + * for a copy of the LGPLv3 License. + * + ************************************************************************/ + +// MARKER(update_precomp.py): autogen include statement, do not remove +#include "precompiled_basegfx.hxx" + +#include <basegfx/polygon/b3dpolygonclipper.hxx> +#include <osl/diagnose.h> +#include <basegfx/polygon/b3dpolygontools.hxx> +#include <basegfx/numeric/ftools.hxx> +#include <basegfx/matrix/b3dhommatrix.hxx> +#include <basegfx/polygon/b3dpolygontools.hxx> +#include <basegfx/range/b3drange.hxx> +#include <basegfx/point/b2dpoint.hxx> +#include <basegfx/range/b2drange.hxx> +#include <basegfx/color/bcolor.hxx> + +////////////////////////////////////////////////////////////////////////////// + +namespace basegfx +{ + namespace + { + inline bool impIsInside(const B3DPoint& rCandidate, double fPlaneOffset, tools::B3DOrientation ePlaneOrthogonal) + { + if(tools::B3DORIENTATION_X == ePlaneOrthogonal) + { + return fTools::moreOrEqual(rCandidate.getX(), fPlaneOffset); + } + else if(tools::B3DORIENTATION_Y == ePlaneOrthogonal) + { + return fTools::moreOrEqual(rCandidate.getY(), fPlaneOffset); + } + else + { + return fTools::moreOrEqual(rCandidate.getZ(), fPlaneOffset); + } + } + + inline double impGetCut(const B3DPoint& rCurrent, const B3DPoint& rNext, double fPlaneOffset, tools::B3DOrientation ePlaneOrthogonal) + { + if(tools::B3DORIENTATION_X == ePlaneOrthogonal) + { + return ((fPlaneOffset - rCurrent.getX())/(rNext.getX() - rCurrent.getX())); + } + else if(tools::B3DORIENTATION_Y == ePlaneOrthogonal) + { + return ((fPlaneOffset - rCurrent.getY())/(rNext.getY() - rCurrent.getY())); + } + else + { + return ((fPlaneOffset - rCurrent.getZ())/(rNext.getZ() - rCurrent.getZ())); + } + } + + void impAppendCopy(B3DPolygon& rDest, const B3DPolygon& rSource, sal_uInt32 nIndex) + { + rDest.append(rSource.getB3DPoint(nIndex)); + + if(rSource.areBColorsUsed()) + { + rDest.setBColor(rDest.count() - 1L, rSource.getBColor(nIndex)); + } + + if(rSource.areNormalsUsed()) + { + rDest.setNormal(rDest.count() - 1L, rSource.getNormal(nIndex)); + } + + if(rSource.areTextureCoordinatesUsed()) + { + rDest.setTextureCoordinate(rDest.count() - 1L, rSource.getTextureCoordinate(nIndex)); + } + } + + void impAppendInterpolate(B3DPolygon& rDest, const B3DPolygon& rSource, sal_uInt32 nIndA, sal_uInt32 nIndB, double fCut) + { + const B3DPoint aCurrPoint(rSource.getB3DPoint(nIndA)); + const B3DPoint aNextPoint(rSource.getB3DPoint(nIndB)); + rDest.append(interpolate(aCurrPoint, aNextPoint, fCut)); + + if(rSource.areBColorsUsed()) + { + const BColor aCurrBColor(rSource.getBColor(nIndA)); + const BColor aNextBColor(rSource.getBColor(nIndB)); + rDest.setBColor(rDest.count() - 1L, interpolate(aCurrBColor, aNextBColor, fCut)); + } + + if(rSource.areNormalsUsed()) + { + const B3DVector aCurrVector(rSource.getNormal(nIndA)); + const B3DVector aNextVector(rSource.getNormal(nIndB)); + rDest.setNormal(rDest.count() - 1L, interpolate(aCurrVector, aNextVector, fCut)); + } + + if(rSource.areTextureCoordinatesUsed()) + { + const B2DPoint aCurrTxCo(rSource.getTextureCoordinate(nIndA)); + const B2DPoint aNextTxCo(rSource.getTextureCoordinate(nIndB)); + rDest.setTextureCoordinate(rDest.count() - 1L, interpolate(aCurrTxCo, aNextTxCo, fCut)); + } + } + } +} // end of namespace basegfx + +////////////////////////////////////////////////////////////////////////////// + +namespace basegfx +{ + namespace tools + { + B3DPolyPolygon clipPolygonOnOrthogonalPlane(const B3DPolygon& rCandidate, B3DOrientation ePlaneOrthogonal, bool bClipPositive, double fPlaneOffset, bool bStroke) + { + B3DPolyPolygon aRetval; + + if(rCandidate.count()) + { + const B3DRange aCandidateRange(getRange(rCandidate)); + + if(B3DORIENTATION_X == ePlaneOrthogonal && fTools::moreOrEqual(aCandidateRange.getMinX(), fPlaneOffset)) + { + // completely above and on the clip plane. + if(bClipPositive) + { + // add completely + aRetval.append(rCandidate); + } + } + else if(B3DORIENTATION_X == ePlaneOrthogonal && fTools::lessOrEqual(aCandidateRange.getMaxX(), fPlaneOffset)) + { + // completely below and on the clip plane. + if(!bClipPositive) + { + // add completely + aRetval.append(rCandidate); + } + } + else if(B3DORIENTATION_Y == ePlaneOrthogonal && fTools::moreOrEqual(aCandidateRange.getMinY(), fPlaneOffset)) + { + // completely above and on the clip plane. + if(bClipPositive) + { + // add completely + aRetval.append(rCandidate); + } + } + else if(B3DORIENTATION_Y == ePlaneOrthogonal && fTools::lessOrEqual(aCandidateRange.getMaxY(), fPlaneOffset)) + { + // completely below and on the clip plane. + if(!bClipPositive) + { + // add completely + aRetval.append(rCandidate); + } + } + else if(B3DORIENTATION_Z == ePlaneOrthogonal && fTools::moreOrEqual(aCandidateRange.getMinZ(), fPlaneOffset)) + { + // completely above and on the clip plane. + if(bClipPositive) + { + // add completely + aRetval.append(rCandidate); + } + } + else if(B3DORIENTATION_Z == ePlaneOrthogonal && fTools::lessOrEqual(aCandidateRange.getMaxZ(), fPlaneOffset)) + { + // completely below and on the clip plane. + if(!bClipPositive) + { + // add completely + aRetval.append(rCandidate); + } + } + else + { + // prepare loop(s) + B3DPolygon aNewPolygon; + B3DPoint aCurrent(rCandidate.getB3DPoint(0L)); + const sal_uInt32 nPointCount(rCandidate.count()); + const sal_uInt32 nEdgeCount(rCandidate.isClosed() ? nPointCount : nPointCount - 1L); + bool bCurrentInside(impIsInside(aCurrent, fPlaneOffset, ePlaneOrthogonal) == bClipPositive); + + if(bCurrentInside) + { + impAppendCopy(aNewPolygon, rCandidate, 0L); + } + + if(bStroke) + { + // open polygon, create clipped line snippets. + for(sal_uInt32 a(0L); a < nEdgeCount; a++) + { + // get next point data + const sal_uInt32 nNextIndex((a + 1L == nPointCount) ? 0L : a + 1L); + const B3DPoint aNext(rCandidate.getB3DPoint(nNextIndex)); + const bool bNextInside(impIsInside(aNext, fPlaneOffset, ePlaneOrthogonal) == bClipPositive); + + if(bCurrentInside != bNextInside) + { + // change inside/outside + if(bNextInside) + { + // entering, finish existing and start new line polygon + if(aNewPolygon.count() > 1L) + { + aRetval.append(aNewPolygon); + } + + aNewPolygon.clear(); + } + + // calculate and add cut point + const double fCut(impGetCut(aCurrent, aNext, fPlaneOffset, ePlaneOrthogonal)); + impAppendInterpolate(aNewPolygon, rCandidate, a, nNextIndex, fCut); + + // pepare next step + bCurrentInside = bNextInside; + } + + if(bNextInside) + { + impAppendCopy(aNewPolygon, rCandidate, nNextIndex); + } + + // pepare next step + aCurrent = aNext; + } + + if(aNewPolygon.count() > 1L) + { + aRetval.append(aNewPolygon); + } + } + else + { + // closed polygon, create single clipped closed polygon + for(sal_uInt32 a(0L); a < nEdgeCount; a++) + { + // get next point data, use offset + const sal_uInt32 nNextIndex((a + 1L == nPointCount) ? 0L : a + 1L); + const B3DPoint aNext(rCandidate.getB3DPoint(nNextIndex)); + const bool bNextInside(impIsInside(aNext, fPlaneOffset, ePlaneOrthogonal) == bClipPositive); + + if(bCurrentInside != bNextInside) + { + // calculate and add cut point + const double fCut(impGetCut(aCurrent, aNext, fPlaneOffset, ePlaneOrthogonal)); + impAppendInterpolate(aNewPolygon, rCandidate, a, nNextIndex, fCut); + + // pepare next step + bCurrentInside = bNextInside; + } + + if(bNextInside && nNextIndex) + { + impAppendCopy(aNewPolygon, rCandidate, nNextIndex); + } + + // pepare next step + aCurrent = aNext; + } + + if(aNewPolygon.count() > 2L) + { + aNewPolygon.setClosed(true); + aRetval.append(aNewPolygon); + } + } + } + } + + return aRetval; + } + + B3DPolyPolygon clipPolyPolygonOnOrthogonalPlane(const B3DPolyPolygon& rCandidate, B3DOrientation ePlaneOrthogonal, bool bClipPositive, double fPlaneOffset, bool bStroke) + { + B3DPolyPolygon aRetval; + + for(sal_uInt32 a(0L); a < rCandidate.count(); a++) + { + aRetval.append(clipPolygonOnOrthogonalPlane(rCandidate.getB3DPolygon(a), ePlaneOrthogonal, bClipPositive, fPlaneOffset, bStroke)); + } + + return aRetval; + } + + B3DPolyPolygon clipPolyPolygonOnRange(const B3DPolyPolygon& rCandidate, const B2DRange& rRange, bool bInside, bool bStroke) + { + B3DPolyPolygon aRetval; + + for(sal_uInt32 a(0L); a < rCandidate.count(); a++) + { + aRetval.append(clipPolygonOnRange(rCandidate.getB3DPolygon(a), rRange, bInside, bStroke)); + } + + return aRetval; + } + + B3DPolyPolygon clipPolygonOnRange(const B3DPolygon& rCandidate, const B2DRange& rRange, bool bInside, bool bStroke) + { + B3DPolyPolygon aRetval; + + if(rRange.isEmpty()) + { + // clipping against an empty range. Nothing is inside an empty range, so the polygon + // is outside the range. So only return if not inside is wanted + if(!bInside && rCandidate.count()) + { + aRetval.append(rCandidate); + } + } + else if(rCandidate.count()) + { + const B3DRange aCandidateRange3D(getRange(rCandidate)); + const B2DRange aCandidateRange( + aCandidateRange3D.getMinX(), aCandidateRange3D.getMinY(), + aCandidateRange3D.getMaxX(), aCandidateRange3D.getMaxY()); + + if(rRange.isInside(aCandidateRange)) + { + // candidate is completely inside given range, nothing to do. Is also true with curves. + if(bInside) + { + aRetval.append(rCandidate); + } + } + else if(!rRange.overlaps(aCandidateRange)) + { + // candidate is completely outside given range, nothing to do. Is also true with curves. + if(!bInside) + { + aRetval.append(rCandidate); + } + } + else + { + // clip against the six planes of the range + // against lower X + aRetval = clipPolygonOnOrthogonalPlane(rCandidate, tools::B3DORIENTATION_X, bInside, rRange.getMinX(), bStroke); + + if(aRetval.count()) + { + // against lower Y + if(1L == aRetval.count()) + { + aRetval = clipPolygonOnOrthogonalPlane(aRetval.getB3DPolygon(0L), tools::B3DORIENTATION_Y, bInside, rRange.getMinY(), bStroke); + } + else + { + aRetval = clipPolyPolygonOnOrthogonalPlane(aRetval, tools::B3DORIENTATION_Y, bInside, rRange.getMinY(), bStroke); + } + + if(aRetval.count()) + { + // against higher X + if(1L == aRetval.count()) + { + aRetval = clipPolygonOnOrthogonalPlane(aRetval.getB3DPolygon(0L), tools::B3DORIENTATION_X, !bInside, rRange.getMaxX(), bStroke); + } + else + { + aRetval = clipPolyPolygonOnOrthogonalPlane(aRetval, tools::B3DORIENTATION_X, !bInside, rRange.getMaxX(), bStroke); + } + + if(aRetval.count()) + { + // against higher Y + if(1L == aRetval.count()) + { + aRetval = clipPolygonOnOrthogonalPlane(aRetval.getB3DPolygon(0L), tools::B3DORIENTATION_Y, !bInside, rRange.getMaxY(), bStroke); + } + else + { + aRetval = clipPolyPolygonOnOrthogonalPlane(aRetval, tools::B3DORIENTATION_Y, !bInside, rRange.getMaxY(), bStroke); + } + } + } + } + } + } + + return aRetval; + } + + B3DPolyPolygon clipPolyPolygonOnRange(const B3DPolyPolygon& rCandidate, const B3DRange& rRange, bool bInside, bool bStroke) + { + B3DPolyPolygon aRetval; + + for(sal_uInt32 a(0L); a < rCandidate.count(); a++) + { + aRetval.append(clipPolygonOnRange(rCandidate.getB3DPolygon(a), rRange, bInside, bStroke)); + } + + return aRetval; + } + + B3DPolyPolygon clipPolygonOnRange(const B3DPolygon& rCandidate, const B3DRange& rRange, bool bInside, bool bStroke) + { + B3DPolyPolygon aRetval; + + if(rRange.isEmpty()) + { + // clipping against an empty range. Nothing is inside an empty range, so the polygon + // is outside the range. So only return if not inside is wanted + if(!bInside && rCandidate.count()) + { + aRetval.append(rCandidate); + } + } + else if(rCandidate.count()) + { + const B3DRange aCandidateRange(getRange(rCandidate)); + + if(rRange.isInside(aCandidateRange)) + { + // candidate is completely inside given range, nothing to do. Is also true with curves. + if(bInside) + { + aRetval.append(rCandidate); + } + } + else if(!rRange.overlaps(aCandidateRange)) + { + // candidate is completely outside given range, nothing to do. Is also true with curves. + if(!bInside) + { + aRetval.append(rCandidate); + } + } + else + { + // clip against X,Y first and see if there's something left + const B2DRange aCandidateRange2D(rRange.getMinX(), rRange.getMinY(), rRange.getMaxX(), rRange.getMaxY()); + aRetval = clipPolygonOnRange(rCandidate, aCandidateRange2D, bInside, bStroke); + + if(aRetval.count()) + { + // against lower Z + if(1L == aRetval.count()) + { + aRetval = clipPolygonOnOrthogonalPlane(aRetval.getB3DPolygon(0L), tools::B3DORIENTATION_Z, bInside, rRange.getMinZ(), bStroke); + } + else + { + aRetval = clipPolyPolygonOnOrthogonalPlane(aRetval, tools::B3DORIENTATION_Z, bInside, rRange.getMinZ(), bStroke); + } + + if(aRetval.count()) + { + // against higher Z + if(1L == aRetval.count()) + { + aRetval = clipPolygonOnOrthogonalPlane(aRetval.getB3DPolygon(0L), tools::B3DORIENTATION_Z, !bInside, rRange.getMaxZ(), bStroke); + } + else + { + aRetval = clipPolyPolygonOnOrthogonalPlane(aRetval, tools::B3DORIENTATION_Z, !bInside, rRange.getMaxZ(), bStroke); + } + } + } + } + } + + return aRetval; + } + + B3DPolyPolygon clipPolygonOnPlane(const B3DPolygon& rCandidate, const B3DPoint& rPointOnPlane, const B3DVector& rPlaneNormal, bool bClipPositive, bool bStroke) + { + B3DPolyPolygon aRetval; + + if(rPlaneNormal.equalZero()) + { + // not really a plane definition, return polygon + aRetval.append(rCandidate); + } + else if(rCandidate.count()) + { + // build transform to project planeNormal on X-Axis and pointOnPlane to null point + B3DHomMatrix aMatrixTransform; + aMatrixTransform.translate(-rPointOnPlane.getX(), -rPointOnPlane.getY(), -rPointOnPlane.getZ()); + const double fRotInXY(atan2(rPlaneNormal.getY(), rPlaneNormal.getX())); + const double fRotInXZ(atan2(-rPlaneNormal.getZ(), rPlaneNormal.getXYLength())); + if(!fTools::equalZero(fRotInXY) || !fTools::equalZero(fRotInXZ)) + { + aMatrixTransform.rotate(0.0, fRotInXZ, fRotInXY); + } + + // transform polygon to clip scenario + B3DPolygon aCandidate(rCandidate); + aCandidate.transform(aMatrixTransform); + + // clip on YZ plane + aRetval = clipPolygonOnOrthogonalPlane(aCandidate, tools::B3DORIENTATION_X, bClipPositive, 0.0, bStroke); + + if(aRetval.count()) + { + // if there is a result, it needs to be transformed back + aMatrixTransform.invert(); + aRetval.transform(aMatrixTransform); + } + } + + return aRetval; + } + + B3DPolyPolygon clipPolyPolygonOnPlane(const B3DPolyPolygon& rCandidate, const B3DPoint& rPointOnPlane, const B3DVector& rPlaneNormal, bool bClipPositive, bool bStroke) + { + B3DPolyPolygon aRetval; + + if(rPlaneNormal.equalZero()) + { + // not really a plane definition, return polygon + aRetval = rCandidate; + } + else if(rCandidate.count()) + { + // build transform to project planeNormal on X-Axis and pointOnPlane to null point + B3DHomMatrix aMatrixTransform; + aMatrixTransform.translate(-rPointOnPlane.getX(), -rPointOnPlane.getY(), -rPointOnPlane.getZ()); + const double fRotInXY(atan2(rPlaneNormal.getY(), rPlaneNormal.getX())); + const double fRotInXZ(atan2(-rPlaneNormal.getZ(), rPlaneNormal.getXYLength())); + if(!fTools::equalZero(fRotInXY) || !fTools::equalZero(fRotInXZ)) + { + aMatrixTransform.rotate(0.0, fRotInXZ, fRotInXY); + } + + // transform polygon to clip scenario + aRetval = rCandidate; + aRetval.transform(aMatrixTransform); + + // clip on YZ plane + aRetval = clipPolyPolygonOnOrthogonalPlane(aRetval, tools::B3DORIENTATION_X, bClipPositive, 0.0, bStroke); + + if(aRetval.count()) + { + // if there is a result, it needs to be transformed back + aMatrixTransform.invert(); + aRetval.transform(aMatrixTransform); + } + } + + return aRetval; + } + + } // end of namespace tools +} // end of namespace basegfx + +////////////////////////////////////////////////////////////////////////////// + +// eof diff --git a/basegfx/source/polygon/b3dpolygontools.cxx b/basegfx/source/polygon/b3dpolygontools.cxx new file mode 100644 index 000000000000..77bbbd379d3c --- /dev/null +++ b/basegfx/source/polygon/b3dpolygontools.cxx @@ -0,0 +1,1263 @@ +/************************************************************************* + * + * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER. + * + * Copyright 2000, 2010 Oracle and/or its affiliates. + * + * OpenOffice.org - a multi-platform office productivity suite + * + * This file is part of OpenOffice.org. + * + * OpenOffice.org is free software: you can redistribute it and/or modify + * it under the terms of the GNU Lesser General Public License version 3 + * only, as published by the Free Software Foundation. + * + * OpenOffice.org is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU Lesser General Public License version 3 for more details + * (a copy is included in the LICENSE file that accompanied this code). + * + * You should have received a copy of the GNU Lesser General Public License + * version 3 along with OpenOffice.org. If not, see + * <http://www.openoffice.org/license.html> + * for a copy of the LGPLv3 License. + * + ************************************************************************/ + +// MARKER(update_precomp.py): autogen include statement, do not remove +#include "precompiled_basegfx.hxx" +#include <osl/diagnose.h> +#include <basegfx/polygon/b3dpolygontools.hxx> +#include <basegfx/polygon/b3dpolygon.hxx> +#include <basegfx/numeric/ftools.hxx> +#include <basegfx/range/b3drange.hxx> +#include <basegfx/point/b2dpoint.hxx> +#include <basegfx/matrix/b3dhommatrix.hxx> +#include <basegfx/polygon/b2dpolygon.hxx> +#include <basegfx/polygon/b2dpolygontools.hxx> +#include <basegfx/tuple/b3ituple.hxx> +#include <numeric> + +////////////////////////////////////////////////////////////////////////////// + +namespace basegfx +{ + namespace tools + { + // B3DPolygon tools + void checkClosed(B3DPolygon& rCandidate) + { + while(rCandidate.count() > 1L + && rCandidate.getB3DPoint(0L).equal(rCandidate.getB3DPoint(rCandidate.count() - 1L))) + { + rCandidate.setClosed(true); + rCandidate.remove(rCandidate.count() - 1L); + } + } + + // Get successor and predecessor indices. Returning the same index means there + // is none. Same for successor. + sal_uInt32 getIndexOfPredecessor(sal_uInt32 nIndex, const B3DPolygon& rCandidate) + { + OSL_ENSURE(nIndex < rCandidate.count(), "getIndexOfPredecessor: Access to polygon out of range (!)"); + + if(nIndex) + { + return nIndex - 1L; + } + else if(rCandidate.count()) + { + return rCandidate.count() - 1L; + } + else + { + return nIndex; + } + } + + sal_uInt32 getIndexOfSuccessor(sal_uInt32 nIndex, const B3DPolygon& rCandidate) + { + OSL_ENSURE(nIndex < rCandidate.count(), "getIndexOfPredecessor: Access to polygon out of range (!)"); + + if(nIndex + 1L < rCandidate.count()) + { + return nIndex + 1L; + } + else + { + return 0L; + } + } + + B3DRange getRange(const B3DPolygon& rCandidate) + { + B3DRange aRetval; + const sal_uInt32 nPointCount(rCandidate.count()); + + for(sal_uInt32 a(0L); a < nPointCount; a++) + { + const B3DPoint aTestPoint(rCandidate.getB3DPoint(a)); + aRetval.expand(aTestPoint); + } + + return aRetval; + } + + B3DVector getNormal(const B3DPolygon& rCandidate) + { + return rCandidate.getNormal(); + } + + B3DVector getPositiveOrientedNormal(const B3DPolygon& rCandidate) + { + B3DVector aRetval(rCandidate.getNormal()); + + if(ORIENTATION_NEGATIVE == getOrientation(rCandidate)) + { + aRetval = -aRetval; + } + + return aRetval; + } + + B2VectorOrientation getOrientation(const B3DPolygon& rCandidate) + { + B2VectorOrientation eRetval(ORIENTATION_NEUTRAL); + + if(rCandidate.count() > 2L) + { + const double fSignedArea(getSignedArea(rCandidate)); + + if(fSignedArea > 0.0) + { + eRetval = ORIENTATION_POSITIVE; + } + else if(fSignedArea < 0.0) + { + eRetval = ORIENTATION_NEGATIVE; + } + } + + return eRetval; + } + + double getSignedArea(const B3DPolygon& rCandidate) + { + double fRetval(0.0); + const sal_uInt32 nPointCount(rCandidate.count()); + + if(nPointCount > 2) + { + const B3DVector aAbsNormal(absolute(getNormal(rCandidate))); + sal_uInt16 nCase(3); // default: ignore z + + if(aAbsNormal.getX() > aAbsNormal.getY()) + { + if(aAbsNormal.getX() > aAbsNormal.getZ()) + { + nCase = 1; // ignore x + } + } + else if(aAbsNormal.getY() > aAbsNormal.getZ()) + { + nCase = 2; // ignore y + } + + B3DPoint aPreviousPoint(rCandidate.getB3DPoint(nPointCount - 1L)); + + for(sal_uInt32 a(0L); a < nPointCount; a++) + { + const B3DPoint aCurrentPoint(rCandidate.getB3DPoint(a)); + + switch(nCase) + { + case 1: // ignore x + fRetval += aPreviousPoint.getZ() * aCurrentPoint.getY(); + fRetval -= aPreviousPoint.getY() * aCurrentPoint.getZ(); + break; + case 2: // ignore y + fRetval += aPreviousPoint.getX() * aCurrentPoint.getZ(); + fRetval -= aPreviousPoint.getZ() * aCurrentPoint.getX(); + break; + case 3: // ignore z + fRetval += aPreviousPoint.getX() * aCurrentPoint.getY(); + fRetval -= aPreviousPoint.getY() * aCurrentPoint.getX(); + break; + } + + // prepare next step + aPreviousPoint = aCurrentPoint; + } + + switch(nCase) + { + case 1: // ignore x + fRetval /= 2.0 * aAbsNormal.getX(); + break; + case 2: // ignore y + fRetval /= 2.0 * aAbsNormal.getY(); + break; + case 3: // ignore z + fRetval /= 2.0 * aAbsNormal.getZ(); + break; + } + } + + return fRetval; + } + + double getArea(const B3DPolygon& rCandidate) + { + double fRetval(0.0); + + if(rCandidate.count() > 2) + { + fRetval = getSignedArea(rCandidate); + const double fZero(0.0); + + if(fTools::less(fRetval, fZero)) + { + fRetval = -fRetval; + } + } + + return fRetval; + } + + double getEdgeLength(const B3DPolygon& rCandidate, sal_uInt32 nIndex) + { + OSL_ENSURE(nIndex < rCandidate.count(), "getEdgeLength: Access to polygon out of range (!)"); + double fRetval(0.0); + const sal_uInt32 nPointCount(rCandidate.count()); + + if(nIndex < nPointCount) + { + if(rCandidate.isClosed() || ((nIndex + 1L) != nPointCount)) + { + const sal_uInt32 nNextIndex(getIndexOfSuccessor(nIndex, rCandidate)); + const B3DPoint aCurrentPoint(rCandidate.getB3DPoint(nIndex)); + const B3DPoint aNextPoint(rCandidate.getB3DPoint(nNextIndex)); + const B3DVector aVector(aNextPoint - aCurrentPoint); + fRetval = aVector.getLength(); + } + } + + return fRetval; + } + + double getLength(const B3DPolygon& rCandidate) + { + double fRetval(0.0); + const sal_uInt32 nPointCount(rCandidate.count()); + + if(nPointCount > 1L) + { + const sal_uInt32 nLoopCount(rCandidate.isClosed() ? nPointCount : nPointCount - 1L); + + for(sal_uInt32 a(0L); a < nLoopCount; a++) + { + const sal_uInt32 nNextIndex(getIndexOfSuccessor(a, rCandidate)); + const B3DPoint aCurrentPoint(rCandidate.getB3DPoint(a)); + const B3DPoint aNextPoint(rCandidate.getB3DPoint(nNextIndex)); + const B3DVector aVector(aNextPoint - aCurrentPoint); + fRetval += aVector.getLength(); + } + } + + return fRetval; + } + + B3DPoint getPositionAbsolute(const B3DPolygon& rCandidate, double fDistance, double fLength) + { + B3DPoint aRetval; + const sal_uInt32 nPointCount(rCandidate.count()); + + if(nPointCount > 1L) + { + sal_uInt32 nIndex(0L); + bool bIndexDone(false); + const double fZero(0.0); + double fEdgeLength(fZero); + + // get length if not given + if(fTools::equalZero(fLength)) + { + fLength = getLength(rCandidate); + } + + // handle fDistance < 0.0 + if(fTools::less(fDistance, fZero)) + { + if(rCandidate.isClosed()) + { + // if fDistance < 0.0 increment with multiple of fLength + sal_uInt32 nCount(sal_uInt32(-fDistance / fLength)); + fDistance += double(nCount + 1L) * fLength; + } + else + { + // crop to polygon start + fDistance = fZero; + bIndexDone = true; + } + } + + // handle fDistance >= fLength + if(fTools::moreOrEqual(fDistance, fLength)) + { + if(rCandidate.isClosed()) + { + // if fDistance >= fLength decrement with multiple of fLength + sal_uInt32 nCount(sal_uInt32(fDistance / fLength)); + fDistance -= (double)(nCount) * fLength; + } + else + { + // crop to polygon end + fDistance = fZero; + nIndex = nPointCount - 1L; + bIndexDone = true; + } + } + + // look for correct index. fDistance is now [0.0 .. fLength[ + if(!bIndexDone) + { + do + { + // get length of next edge + fEdgeLength = getEdgeLength(rCandidate, nIndex); + + if(fTools::moreOrEqual(fDistance, fEdgeLength)) + { + // go to next edge + fDistance -= fEdgeLength; + nIndex++; + } + else + { + // it's on this edge, stop + bIndexDone = true; + } + } while (!bIndexDone); + } + + // get the point using nIndex + aRetval = rCandidate.getB3DPoint(nIndex); + + // if fDistance != 0.0, move that length on the edge. The edge + // length is in fEdgeLength. + if(!fTools::equalZero(fDistance)) + { + sal_uInt32 nNextIndex(getIndexOfSuccessor(nIndex, rCandidate)); + const B3DPoint aNextPoint(rCandidate.getB3DPoint(nNextIndex)); + double fRelative(fZero); + + if(!fTools::equalZero(fEdgeLength)) + { + fRelative = fDistance / fEdgeLength; + } + + // add calculated average value to the return value + aRetval += interpolate(aRetval, aNextPoint, fRelative); + } + } + + return aRetval; + } + + B3DPoint getPositionRelative(const B3DPolygon& rCandidate, double fDistance, double fLength) + { + // get length if not given + if(fTools::equalZero(fLength)) + { + fLength = getLength(rCandidate); + } + + // multiply fDistance with real length to get absolute position and + // use getPositionAbsolute + return getPositionAbsolute(rCandidate, fDistance * fLength, fLength); + } + + void applyLineDashing(const B3DPolygon& rCandidate, const ::std::vector<double>& rDotDashArray, B3DPolyPolygon* pLineTarget, B3DPolyPolygon* pGapTarget, double fDotDashLength) + { + const sal_uInt32 nPointCount(rCandidate.count()); + const sal_uInt32 nDotDashCount(rDotDashArray.size()); + + if(fTools::lessOrEqual(fDotDashLength, 0.0)) + { + fDotDashLength = ::std::accumulate(rDotDashArray.begin(), rDotDashArray.end(), 0.0); + } + + if(fTools::more(fDotDashLength, 0.0) && (pLineTarget || pGapTarget) && nPointCount) + { + // clear targets + if(pLineTarget) + { + pLineTarget->clear(); + } + + if(pGapTarget) + { + pGapTarget->clear(); + } + + // prepare current edge's start + B3DPoint aCurrentPoint(rCandidate.getB3DPoint(0)); + const sal_uInt32 nEdgeCount(rCandidate.isClosed() ? nPointCount : nPointCount - 1); + + // prepare DotDashArray iteration and the line/gap switching bool + sal_uInt32 nDotDashIndex(0); + bool bIsLine(true); + double fDotDashMovingLength(rDotDashArray[0]); + B3DPolygon aSnippet; + + // iterate over all edges + for(sal_uInt32 a(0); a < nEdgeCount; a++) + { + // update current edge + double fLastDotDashMovingLength(0.0); + const sal_uInt32 nNextIndex((a + 1) % nPointCount); + const B3DPoint aNextPoint(rCandidate.getB3DPoint(nNextIndex)); + const double fEdgeLength(B3DVector(aNextPoint - aCurrentPoint).getLength()); + + while(fTools::less(fDotDashMovingLength, fEdgeLength)) + { + // new split is inside edge, create and append snippet [fLastDotDashMovingLength, fDotDashMovingLength] + const bool bHandleLine(bIsLine && pLineTarget); + const bool bHandleGap(!bIsLine && pGapTarget); + + if(bHandleLine || bHandleGap) + { + if(!aSnippet.count()) + { + aSnippet.append(interpolate(aCurrentPoint, aNextPoint, fLastDotDashMovingLength / fEdgeLength)); + } + + aSnippet.append(interpolate(aCurrentPoint, aNextPoint, fDotDashMovingLength / fEdgeLength)); + + if(bHandleLine) + { + pLineTarget->append(aSnippet); + } + else + { + pGapTarget->append(aSnippet); + } + + aSnippet.clear(); + } + + // prepare next DotDashArray step and flip line/gap flag + fLastDotDashMovingLength = fDotDashMovingLength; + fDotDashMovingLength += rDotDashArray[(++nDotDashIndex) % nDotDashCount]; + bIsLine = !bIsLine; + } + + // append snippet [fLastDotDashMovingLength, fEdgeLength] + const bool bHandleLine(bIsLine && pLineTarget); + const bool bHandleGap(!bIsLine && pGapTarget); + + if(bHandleLine || bHandleGap) + { + if(!aSnippet.count()) + { + aSnippet.append(interpolate(aCurrentPoint, aNextPoint, fLastDotDashMovingLength / fEdgeLength)); + } + + aSnippet.append(aNextPoint); + } + + // prepare move to next edge + fDotDashMovingLength -= fEdgeLength; + + // prepare next edge step (end point gets new start point) + aCurrentPoint = aNextPoint; + } + + // append last intermediate results (if exists) + if(aSnippet.count()) + { + if(bIsLine && pLineTarget) + { + pLineTarget->append(aSnippet); + } + else if(!bIsLine && pGapTarget) + { + pGapTarget->append(aSnippet); + } + } + + // check if start and end polygon may be merged + if(pLineTarget) + { + const sal_uInt32 nCount(pLineTarget->count()); + + if(nCount > 1) + { + // these polygons were created above, there exists none with less than two points, + // thus dircet point access below is allowed + const B3DPolygon aFirst(pLineTarget->getB3DPolygon(0)); + B3DPolygon aLast(pLineTarget->getB3DPolygon(nCount - 1)); + + if(aFirst.getB3DPoint(0).equal(aLast.getB3DPoint(aLast.count() - 1))) + { + // start of first and end of last are the same -> merge them + aLast.append(aFirst); + aLast.removeDoublePoints(); + pLineTarget->setB3DPolygon(0, aLast); + pLineTarget->remove(nCount - 1); + } + } + } + + if(pGapTarget) + { + const sal_uInt32 nCount(pGapTarget->count()); + + if(nCount > 1) + { + // these polygons were created above, there exists none with less than two points, + // thus dircet point access below is allowed + const B3DPolygon aFirst(pGapTarget->getB3DPolygon(0)); + B3DPolygon aLast(pGapTarget->getB3DPolygon(nCount - 1)); + + if(aFirst.getB3DPoint(0).equal(aLast.getB3DPoint(aLast.count() - 1))) + { + // start of first and end of last are the same -> merge them + aLast.append(aFirst); + aLast.removeDoublePoints(); + pGapTarget->setB3DPolygon(0, aLast); + pGapTarget->remove(nCount - 1); + } + } + } + } + else + { + // parameters make no sense, just add source to targets + if(pLineTarget) + { + pLineTarget->append(rCandidate); + } + + if(pGapTarget) + { + pGapTarget->append(rCandidate); + } + } + } + + B3DPolygon applyDefaultNormalsSphere( const B3DPolygon& rCandidate, const B3DPoint& rCenter) + { + B3DPolygon aRetval(rCandidate); + + for(sal_uInt32 a(0L); a < aRetval.count(); a++) + { + B3DVector aVector(aRetval.getB3DPoint(a) - rCenter); + aVector.normalize(); + aRetval.setNormal(a, aVector); + } + + return aRetval; + } + + B3DPolygon invertNormals( const B3DPolygon& rCandidate) + { + B3DPolygon aRetval(rCandidate); + + if(aRetval.areNormalsUsed()) + { + for(sal_uInt32 a(0L); a < aRetval.count(); a++) + { + aRetval.setNormal(a, -aRetval.getNormal(a)); + } + } + + return aRetval; + } + + B3DPolygon applyDefaultTextureCoordinatesParallel( const B3DPolygon& rCandidate, const B3DRange& rRange, bool bChangeX, bool bChangeY) + { + B3DPolygon aRetval(rCandidate); + + if(bChangeX || bChangeY) + { + // create projection of standard texture coordinates in (X, Y) onto + // the 3d coordinates straight + const double fWidth(rRange.getWidth()); + const double fHeight(rRange.getHeight()); + const bool bWidthSet(!fTools::equalZero(fWidth)); + const bool bHeightSet(!fTools::equalZero(fHeight)); + const double fOne(1.0); + + for(sal_uInt32 a(0L); a < aRetval.count(); a++) + { + const B3DPoint aPoint(aRetval.getB3DPoint(a)); + B2DPoint aTextureCoordinate(aRetval.getTextureCoordinate(a)); + + if(bChangeX) + { + if(bWidthSet) + { + aTextureCoordinate.setX((aPoint.getX() - rRange.getMinX()) / fWidth); + } + else + { + aTextureCoordinate.setX(0.0); + } + } + + if(bChangeY) + { + if(bHeightSet) + { + aTextureCoordinate.setY(fOne - ((aPoint.getY() - rRange.getMinY()) / fHeight)); + } + else + { + aTextureCoordinate.setY(fOne); + } + } + + aRetval.setTextureCoordinate(a, aTextureCoordinate); + } + } + + return aRetval; + } + + B3DPolygon applyDefaultTextureCoordinatesSphere( const B3DPolygon& rCandidate, const B3DPoint& rCenter, bool bChangeX, bool bChangeY) + { + B3DPolygon aRetval(rCandidate); + + if(bChangeX || bChangeY) + { + // create texture coordinates using sphere projection to cartesian coordinates, + // use object's center as base + const double fOne(1.0); + const sal_uInt32 nPointCount(aRetval.count()); + bool bPolarPoints(false); + sal_uInt32 a; + + // create center cartesian coordinates to have a possibility to decide if on boundary + // transitions which value to choose + const B3DRange aPlaneRange(getRange(rCandidate)); + const B3DPoint aPlaneCenter(aPlaneRange.getCenter() - rCenter); + const double fXCenter(fOne - ((atan2(aPlaneCenter.getZ(), aPlaneCenter.getX()) + F_PI) / F_2PI)); + + for(a = 0L; a < nPointCount; a++) + { + const B3DVector aVector(aRetval.getB3DPoint(a) - rCenter); + const double fY(fOne - ((atan2(aVector.getY(), aVector.getXZLength()) + F_PI2) / F_PI)); + B2DPoint aTexCoor(aRetval.getTextureCoordinate(a)); + + if(fTools::equalZero(fY)) + { + // point is a north polar point, no useful X-coordinate can be created. + if(bChangeY) + { + aTexCoor.setY(0.0); + + if(bChangeX) + { + bPolarPoints = true; + } + } + } + else if(fTools::equal(fY, fOne)) + { + // point is a south polar point, no useful X-coordinate can be created. Set + // Y-coordinte, though + if(bChangeY) + { + aTexCoor.setY(fOne); + + if(bChangeX) + { + bPolarPoints = true; + } + } + } + else + { + double fX(fOne - ((atan2(aVector.getZ(), aVector.getX()) + F_PI) / F_2PI)); + + // correct cartesinan point coordiante dependent from center value + if(fX > fXCenter + 0.5) + { + fX -= fOne; + } + else if(fX < fXCenter - 0.5) + { + fX += fOne; + } + + if(bChangeX) + { + aTexCoor.setX(fX); + } + + if(bChangeY) + { + aTexCoor.setY(fY); + } + } + + aRetval.setTextureCoordinate(a, aTexCoor); + } + + if(bPolarPoints) + { + // correct X-texture coordinates if polar points are contained. Those + // coordinates cannot be correct, so use prev or next X-coordinate + for(a = 0L; a < nPointCount; a++) + { + B2DPoint aTexCoor(aRetval.getTextureCoordinate(a)); + + if(fTools::equalZero(aTexCoor.getY()) || fTools::equal(aTexCoor.getY(), fOne)) + { + // get prev, next TexCoor and test for pole + const B2DPoint aPrevTexCoor(aRetval.getTextureCoordinate(a ? a - 1L : nPointCount - 1L)); + const B2DPoint aNextTexCoor(aRetval.getTextureCoordinate((a + 1L) % nPointCount)); + const bool bPrevPole(fTools::equalZero(aPrevTexCoor.getY()) || fTools::equal(aPrevTexCoor.getY(), fOne)); + const bool bNextPole(fTools::equalZero(aNextTexCoor.getY()) || fTools::equal(aNextTexCoor.getY(), fOne)); + + if(!bPrevPole && !bNextPole) + { + // both no poles, mix them + aTexCoor.setX((aPrevTexCoor.getX() + aNextTexCoor.getX()) / 2.0); + } + else if(!bNextPole) + { + // copy next + aTexCoor.setX(aNextTexCoor.getX()); + } + else + { + // copy prev, even if it's a pole, hopefully it is already corrected + aTexCoor.setX(aPrevTexCoor.getX()); + } + + aRetval.setTextureCoordinate(a, aTexCoor); + } + } + } + } + + return aRetval; + } + + bool isInEpsilonRange(const B3DPoint& rEdgeStart, const B3DPoint& rEdgeEnd, const B3DPoint& rTestPosition, double fDistance) + { + // build edge vector + const B3DVector aEdge(rEdgeEnd - rEdgeStart); + bool bDoDistanceTestStart(false); + bool bDoDistanceTestEnd(false); + + if(aEdge.equalZero()) + { + // no edge, just a point. Do one of the distance tests. + bDoDistanceTestStart = true; + } + else + { + // calculate fCut in aEdge + const B3DVector aTestEdge(rTestPosition - rEdgeStart); + const double fScalarTestEdge(aEdge.scalar(aTestEdge)); + const double fScalarStartEdge(aEdge.scalar(rEdgeStart)); + const double fScalarEdge(aEdge.scalar(aEdge)); + const double fCut((fScalarTestEdge - fScalarStartEdge) / fScalarEdge); + const double fZero(0.0); + const double fOne(1.0); + + if(fTools::less(fCut, fZero)) + { + // left of rEdgeStart + bDoDistanceTestStart = true; + } + else if(fTools::more(fCut, fOne)) + { + // right of rEdgeEnd + bDoDistanceTestEnd = true; + } + else + { + // inside line [0.0 .. 1.0] + const B3DPoint aCutPoint(interpolate(rEdgeStart, rEdgeEnd, fCut)); + const B3DVector aDelta(rTestPosition - aCutPoint); + const double fDistanceSquare(aDelta.scalar(aDelta)); + + if(fDistanceSquare <= fDistance * fDistance * fDistance) + { + return true; + } + else + { + return false; + } + } + } + + if(bDoDistanceTestStart) + { + const B3DVector aDelta(rTestPosition - rEdgeStart); + const double fDistanceSquare(aDelta.scalar(aDelta)); + + if(fDistanceSquare <= fDistance * fDistance * fDistance) + { + return true; + } + } + else if(bDoDistanceTestEnd) + { + const B3DVector aDelta(rTestPosition - rEdgeEnd); + const double fDistanceSquare(aDelta.scalar(aDelta)); + + if(fDistanceSquare <= fDistance * fDistance * fDistance) + { + return true; + } + } + + return false; + } + + bool isInEpsilonRange(const B3DPolygon& rCandidate, const B3DPoint& rTestPosition, double fDistance) + { + const sal_uInt32 nPointCount(rCandidate.count()); + + if(nPointCount) + { + const sal_uInt32 nEdgeCount(rCandidate.isClosed() ? nPointCount : nPointCount - 1L); + B3DPoint aCurrent(rCandidate.getB3DPoint(0)); + + if(nEdgeCount) + { + // edges + for(sal_uInt32 a(0); a < nEdgeCount; a++) + { + const sal_uInt32 nNextIndex((a + 1) % nPointCount); + const B3DPoint aNext(rCandidate.getB3DPoint(nNextIndex)); + + if(isInEpsilonRange(aCurrent, aNext, rTestPosition, fDistance)) + { + return true; + } + + // prepare next step + aCurrent = aNext; + } + } + else + { + // no edges, but points -> not closed. Check single point. Just + // use isInEpsilonRange with twice the same point, it handles those well + if(isInEpsilonRange(aCurrent, aCurrent, rTestPosition, fDistance)) + { + return true; + } + } + } + + return false; + } + + bool isInside(const B3DPolygon& rCandidate, const B3DPoint& rPoint, bool bWithBorder) + { + if(bWithBorder && isPointOnPolygon(rCandidate, rPoint, true)) + { + return true; + } + else + { + bool bRetval(false); + const B3DVector aPlaneNormal(rCandidate.getNormal()); + + if(!aPlaneNormal.equalZero()) + { + const sal_uInt32 nPointCount(rCandidate.count()); + + if(nPointCount) + { + B3DPoint aCurrentPoint(rCandidate.getB3DPoint(nPointCount - 1)); + const double fAbsX(fabs(aPlaneNormal.getX())); + const double fAbsY(fabs(aPlaneNormal.getY())); + const double fAbsZ(fabs(aPlaneNormal.getZ())); + + if(fAbsX > fAbsY && fAbsX > fAbsZ) + { + // normal points mostly in X-Direction, use YZ-Polygon projection for check + // x -> y, y -> z + for(sal_uInt32 a(0); a < nPointCount; a++) + { + const B3DPoint aPreviousPoint(aCurrentPoint); + aCurrentPoint = rCandidate.getB3DPoint(a); + + // cross-over in Z? + const bool bCompZA(fTools::more(aPreviousPoint.getZ(), rPoint.getZ())); + const bool bCompZB(fTools::more(aCurrentPoint.getZ(), rPoint.getZ())); + + if(bCompZA != bCompZB) + { + // cross-over in Y? + const bool bCompYA(fTools::more(aPreviousPoint.getY(), rPoint.getY())); + const bool bCompYB(fTools::more(aCurrentPoint.getY(), rPoint.getY())); + + if(bCompYA == bCompYB) + { + if(bCompYA) + { + bRetval = !bRetval; + } + } + else + { + const double fCompare( + aCurrentPoint.getY() - (aCurrentPoint.getZ() - rPoint.getZ()) * + (aPreviousPoint.getY() - aCurrentPoint.getY()) / + (aPreviousPoint.getZ() - aCurrentPoint.getZ())); + + if(fTools::more(fCompare, rPoint.getY())) + { + bRetval = !bRetval; + } + } + } + } + } + else if(fAbsY > fAbsX && fAbsY > fAbsZ) + { + // normal points mostly in Y-Direction, use XZ-Polygon projection for check + // x -> x, y -> z + for(sal_uInt32 a(0); a < nPointCount; a++) + { + const B3DPoint aPreviousPoint(aCurrentPoint); + aCurrentPoint = rCandidate.getB3DPoint(a); + + // cross-over in Z? + const bool bCompZA(fTools::more(aPreviousPoint.getZ(), rPoint.getZ())); + const bool bCompZB(fTools::more(aCurrentPoint.getZ(), rPoint.getZ())); + + if(bCompZA != bCompZB) + { + // cross-over in X? + const bool bCompXA(fTools::more(aPreviousPoint.getX(), rPoint.getX())); + const bool bCompXB(fTools::more(aCurrentPoint.getX(), rPoint.getX())); + + if(bCompXA == bCompXB) + { + if(bCompXA) + { + bRetval = !bRetval; + } + } + else + { + const double fCompare( + aCurrentPoint.getX() - (aCurrentPoint.getZ() - rPoint.getZ()) * + (aPreviousPoint.getX() - aCurrentPoint.getX()) / + (aPreviousPoint.getZ() - aCurrentPoint.getZ())); + + if(fTools::more(fCompare, rPoint.getX())) + { + bRetval = !bRetval; + } + } + } + } + } + else + { + // normal points mostly in Z-Direction, use XY-Polygon projection for check + // x -> x, y -> y + for(sal_uInt32 a(0); a < nPointCount; a++) + { + const B3DPoint aPreviousPoint(aCurrentPoint); + aCurrentPoint = rCandidate.getB3DPoint(a); + + // cross-over in Y? + const bool bCompYA(fTools::more(aPreviousPoint.getY(), rPoint.getY())); + const bool bCompYB(fTools::more(aCurrentPoint.getY(), rPoint.getY())); + + if(bCompYA != bCompYB) + { + // cross-over in X? + const bool bCompXA(fTools::more(aPreviousPoint.getX(), rPoint.getX())); + const bool bCompXB(fTools::more(aCurrentPoint.getX(), rPoint.getX())); + + if(bCompXA == bCompXB) + { + if(bCompXA) + { + bRetval = !bRetval; + } + } + else + { + const double fCompare( + aCurrentPoint.getX() - (aCurrentPoint.getY() - rPoint.getY()) * + (aPreviousPoint.getX() - aCurrentPoint.getX()) / + (aPreviousPoint.getY() - aCurrentPoint.getY())); + + if(fTools::more(fCompare, rPoint.getX())) + { + bRetval = !bRetval; + } + } + } + } + } + } + } + + return bRetval; + } + } + + bool isInside(const B3DPolygon& rCandidate, const B3DPolygon& rPolygon, bool bWithBorder) + { + const sal_uInt32 nPointCount(rPolygon.count()); + + for(sal_uInt32 a(0L); a < nPointCount; a++) + { + const B3DPoint aTestPoint(rPolygon.getB3DPoint(a)); + + if(!isInside(rCandidate, aTestPoint, bWithBorder)) + { + return false; + } + } + + return true; + } + + bool isPointOnLine(const B3DPoint& rStart, const B3DPoint& rEnd, const B3DPoint& rCandidate, bool bWithPoints) + { + if(rCandidate.equal(rStart) || rCandidate.equal(rEnd)) + { + // candidate is in epsilon around start or end -> inside + return bWithPoints; + } + else if(rStart.equal(rEnd)) + { + // start and end are equal, but candidate is outside their epsilon -> outside + return false; + } + else + { + const B3DVector aEdgeVector(rEnd - rStart); + const B3DVector aTestVector(rCandidate - rStart); + + if(areParallel(aEdgeVector, aTestVector)) + { + const double fZero(0.0); + const double fOne(1.0); + double fParamTestOnCurr(0.0); + + if(aEdgeVector.getX() > aEdgeVector.getY()) + { + if(aEdgeVector.getX() > aEdgeVector.getZ()) + { + // X is biggest + fParamTestOnCurr = aTestVector.getX() / aEdgeVector.getX(); + } + else + { + // Z is biggest + fParamTestOnCurr = aTestVector.getZ() / aEdgeVector.getZ(); + } + } + else + { + if(aEdgeVector.getY() > aEdgeVector.getZ()) + { + // Y is biggest + fParamTestOnCurr = aTestVector.getY() / aEdgeVector.getY(); + } + else + { + // Z is biggest + fParamTestOnCurr = aTestVector.getZ() / aEdgeVector.getZ(); + } + } + + if(fTools::more(fParamTestOnCurr, fZero) && fTools::less(fParamTestOnCurr, fOne)) + { + return true; + } + } + + return false; + } + } + + bool isPointOnPolygon(const B3DPolygon& rCandidate, const B3DPoint& rPoint, bool bWithPoints) + { + const sal_uInt32 nPointCount(rCandidate.count()); + + if(nPointCount > 1L) + { + const sal_uInt32 nLoopCount(rCandidate.isClosed() ? nPointCount : nPointCount - 1L); + B3DPoint aCurrentPoint(rCandidate.getB3DPoint(0)); + + for(sal_uInt32 a(0); a < nLoopCount; a++) + { + const B3DPoint aNextPoint(rCandidate.getB3DPoint((a + 1) % nPointCount)); + + if(isPointOnLine(aCurrentPoint, aNextPoint, rPoint, bWithPoints)) + { + return true; + } + + aCurrentPoint = aNextPoint; + } + } + else if(nPointCount && bWithPoints) + { + return rPoint.equal(rCandidate.getB3DPoint(0)); + } + + return false; + } + + bool getCutBetweenLineAndPlane(const B3DVector& rPlaneNormal, const B3DPoint& rPlanePoint, const B3DPoint& rEdgeStart, const B3DPoint& rEdgeEnd, double& fCut) + { + if(!rPlaneNormal.equalZero() && !rEdgeStart.equal(rEdgeEnd)) + { + const B3DVector aTestEdge(rEdgeEnd - rEdgeStart); + const double fScalarEdge(rPlaneNormal.scalar(aTestEdge)); + + if(!fTools::equalZero(fScalarEdge)) + { + const B3DVector aCompareEdge(rPlanePoint - rEdgeStart); + const double fScalarCompare(rPlaneNormal.scalar(aCompareEdge)); + + fCut = fScalarCompare / fScalarEdge; + return true; + } + } + + return false; + } + + bool getCutBetweenLineAndPolygon(const B3DPolygon& rCandidate, const B3DPoint& rEdgeStart, const B3DPoint& rEdgeEnd, double& fCut) + { + const sal_uInt32 nPointCount(rCandidate.count()); + + if(nPointCount > 2 && !rEdgeStart.equal(rEdgeEnd)) + { + const B3DVector aPlaneNormal(rCandidate.getNormal()); + + if(!aPlaneNormal.equalZero()) + { + const B3DPoint aPointOnPlane(rCandidate.getB3DPoint(0)); + + return getCutBetweenLineAndPlane(aPlaneNormal, aPointOnPlane, rEdgeStart, rEdgeEnd, fCut); + } + } + + return false; + } + + ////////////////////////////////////////////////////////////////////// + // comparators with tolerance for 3D Polygons + + bool equal(const B3DPolygon& rCandidateA, const B3DPolygon& rCandidateB, const double& rfSmallValue) + { + const sal_uInt32 nPointCount(rCandidateA.count()); + + if(nPointCount != rCandidateB.count()) + return false; + + const bool bClosed(rCandidateA.isClosed()); + + if(bClosed != rCandidateB.isClosed()) + return false; + + for(sal_uInt32 a(0); a < nPointCount; a++) + { + const B3DPoint aPoint(rCandidateA.getB3DPoint(a)); + + if(!aPoint.equal(rCandidateB.getB3DPoint(a), rfSmallValue)) + return false; + } + + return true; + } + + bool equal(const B3DPolygon& rCandidateA, const B3DPolygon& rCandidateB) + { + const double fSmallValue(fTools::getSmallValue()); + + return equal(rCandidateA, rCandidateB, fSmallValue); + } + + // snap points of horizontal or vertical edges to discrete values + B3DPolygon snapPointsOfHorizontalOrVerticalEdges(const B3DPolygon& rCandidate) + { + const sal_uInt32 nPointCount(rCandidate.count()); + + if(nPointCount > 1) + { + // Start by copying the source polygon to get a writeable copy. The closed state is + // copied by aRetval's initialisation, too, so no need to copy it in this method + B3DPolygon aRetval(rCandidate); + + // prepare geometry data. Get rounded from original + B3ITuple aPrevTuple(basegfx::fround(rCandidate.getB3DPoint(nPointCount - 1))); + B3DPoint aCurrPoint(rCandidate.getB3DPoint(0)); + B3ITuple aCurrTuple(basegfx::fround(aCurrPoint)); + + // loop over all points. This will also snap the implicit closing edge + // even when not closed, but that's no problem here + for(sal_uInt32 a(0); a < nPointCount; a++) + { + // get next point. Get rounded from original + const bool bLastRun(a + 1 == nPointCount); + const sal_uInt32 nNextIndex(bLastRun ? 0 : a + 1); + const B3DPoint aNextPoint(rCandidate.getB3DPoint(nNextIndex)); + const B3ITuple aNextTuple(basegfx::fround(aNextPoint)); + + // get the states + const bool bPrevVertical(aPrevTuple.getX() == aCurrTuple.getX()); + const bool bNextVertical(aNextTuple.getX() == aCurrTuple.getX()); + const bool bPrevHorizontal(aPrevTuple.getY() == aCurrTuple.getY()); + const bool bNextHorizontal(aNextTuple.getY() == aCurrTuple.getY()); + const bool bSnapX(bPrevVertical || bNextVertical); + const bool bSnapY(bPrevHorizontal || bNextHorizontal); + + if(bSnapX || bSnapY) + { + const B3DPoint aSnappedPoint( + bSnapX ? aCurrTuple.getX() : aCurrPoint.getX(), + bSnapY ? aCurrTuple.getY() : aCurrPoint.getY(), + aCurrPoint.getZ()); + + aRetval.setB3DPoint(a, aSnappedPoint); + } + + // prepare next point + if(!bLastRun) + { + aPrevTuple = aCurrTuple; + aCurrPoint = aNextPoint; + aCurrTuple = aNextTuple; + } + } + + return aRetval; + } + else + { + return rCandidate; + } + } + + } // end of namespace tools +} // end of namespace basegfx + +////////////////////////////////////////////////////////////////////////////// + +// eof diff --git a/basegfx/source/polygon/b3dpolypolygon.cxx b/basegfx/source/polygon/b3dpolypolygon.cxx new file mode 100644 index 000000000000..a29680b14a59 --- /dev/null +++ b/basegfx/source/polygon/b3dpolypolygon.cxx @@ -0,0 +1,446 @@ +/************************************************************************* + * + * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER. + * + * Copyright 2000, 2010 Oracle and/or its affiliates. + * + * OpenOffice.org - a multi-platform office productivity suite + * + * This file is part of OpenOffice.org. + * + * OpenOffice.org is free software: you can redistribute it and/or modify + * it under the terms of the GNU Lesser General Public License version 3 + * only, as published by the Free Software Foundation. + * + * OpenOffice.org is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU Lesser General Public License version 3 for more details + * (a copy is included in the LICENSE file that accompanied this code). + * + * You should have received a copy of the GNU Lesser General Public License + * version 3 along with OpenOffice.org. If not, see + * <http://www.openoffice.org/license.html> + * for a copy of the LGPLv3 License. + * + ************************************************************************/ + +// MARKER(update_precomp.py): autogen include statement, do not remove +#include "precompiled_basegfx.hxx" +#include <osl/diagnose.h> +#include <basegfx/polygon/b3dpolypolygon.hxx> +#include <basegfx/polygon/b3dpolygon.hxx> +#include <rtl/instance.hxx> +#include <basegfx/matrix/b2dhommatrix.hxx> +#include <basegfx/matrix/b3dhommatrix.hxx> +#include <functional> +#include <vector> +#include <algorithm> + +////////////////////////////////////////////////////////////////////////////// + +class ImplB3DPolyPolygon +{ + typedef ::std::vector< ::basegfx::B3DPolygon > PolygonVector; + + PolygonVector maPolygons; + +public: + ImplB3DPolyPolygon() : maPolygons() + { + } + + ImplB3DPolyPolygon(const ::basegfx::B3DPolygon& rToBeCopied) : + maPolygons(1,rToBeCopied) + { + } + + bool operator==(const ImplB3DPolyPolygon& rPolygonList) const + { + // same polygon count? + if(maPolygons.size() != rPolygonList.maPolygons.size()) + return false; + + // compare polygon content + if(maPolygons != rPolygonList.maPolygons) + return false; + + return true; + } + + const ::basegfx::B3DPolygon& getB3DPolygon(sal_uInt32 nIndex) const + { + return maPolygons[nIndex]; + } + + void setB3DPolygon(sal_uInt32 nIndex, const ::basegfx::B3DPolygon& rPolygon) + { + maPolygons[nIndex] = rPolygon; + } + + void insert(sal_uInt32 nIndex, const ::basegfx::B3DPolygon& rPolygon, sal_uInt32 nCount) + { + if(nCount) + { + // add nCount copies of rPolygon + PolygonVector::iterator aIndex(maPolygons.begin()); + aIndex += nIndex; + maPolygons.insert(aIndex, nCount, rPolygon); + } + } + + void insert(sal_uInt32 nIndex, const ::basegfx::B3DPolyPolygon& rPolyPolygon) + { + const sal_uInt32 nCount = rPolyPolygon.count(); + + if(nCount) + { + // add nCount polygons from rPolyPolygon + maPolygons.reserve(maPolygons.size() + nCount); + PolygonVector::iterator aIndex(maPolygons.begin()); + aIndex += nIndex; + + for(sal_uInt32 a(0L); a < nCount; a++) + { + maPolygons.insert(aIndex, rPolyPolygon.getB3DPolygon(a)); + aIndex++; + } + } + } + + void remove(sal_uInt32 nIndex, sal_uInt32 nCount) + { + if(nCount) + { + // remove polygon data + PolygonVector::iterator aStart(maPolygons.begin()); + aStart += nIndex; + const PolygonVector::iterator aEnd(aStart + nCount); + + maPolygons.erase(aStart, aEnd); + } + } + + sal_uInt32 count() const + { + return maPolygons.size(); + } + + void setClosed(bool bNew) + { + for(sal_uInt32 a(0L); a < maPolygons.size(); a++) + { + maPolygons[a].setClosed(bNew); + } + } + + void flip() + { + std::for_each( maPolygons.begin(), + maPolygons.end(), + std::mem_fun_ref( &::basegfx::B3DPolygon::flip )); + } + + void removeDoublePoints() + { + std::for_each( maPolygons.begin(), + maPolygons.end(), + std::mem_fun_ref( &::basegfx::B3DPolygon::removeDoublePoints )); + } + + void transform(const ::basegfx::B3DHomMatrix& rMatrix) + { + for(sal_uInt32 a(0L); a < maPolygons.size(); a++) + { + maPolygons[a].transform(rMatrix); + } + } + + void clearBColors() + { + for(sal_uInt32 a(0L); a < maPolygons.size(); a++) + { + maPolygons[a].clearBColors(); + } + } + + void transformNormals(const ::basegfx::B3DHomMatrix& rMatrix) + { + for(sal_uInt32 a(0L); a < maPolygons.size(); a++) + { + maPolygons[a].transformNormals(rMatrix); + } + } + + void clearNormals() + { + for(sal_uInt32 a(0L); a < maPolygons.size(); a++) + { + maPolygons[a].clearNormals(); + } + } + + void transformTextureCoordiantes(const ::basegfx::B2DHomMatrix& rMatrix) + { + for(sal_uInt32 a(0L); a < maPolygons.size(); a++) + { + maPolygons[a].transformTextureCoordiantes(rMatrix); + } + } + + void clearTextureCoordinates() + { + for(sal_uInt32 a(0L); a < maPolygons.size(); a++) + { + maPolygons[a].clearTextureCoordinates(); + } + } + + void makeUnique() + { + std::for_each( maPolygons.begin(), + maPolygons.end(), + std::mem_fun_ref( &::basegfx::B3DPolygon::makeUnique )); + } +}; + +////////////////////////////////////////////////////////////////////////////// + +namespace basegfx +{ + namespace { struct DefaultPolyPolygon : public rtl::Static<B3DPolyPolygon::ImplType, + DefaultPolyPolygon> {}; } + + B3DPolyPolygon::B3DPolyPolygon() : + mpPolyPolygon(DefaultPolyPolygon::get()) + { + } + + B3DPolyPolygon::B3DPolyPolygon(const B3DPolyPolygon& rPolyPolygon) : + mpPolyPolygon(rPolyPolygon.mpPolyPolygon) + { + } + + B3DPolyPolygon::B3DPolyPolygon(const B3DPolygon& rPolygon) : + mpPolyPolygon( ImplB3DPolyPolygon(rPolygon) ) + { + } + + B3DPolyPolygon::~B3DPolyPolygon() + { + } + + B3DPolyPolygon& B3DPolyPolygon::operator=(const B3DPolyPolygon& rPolyPolygon) + { + mpPolyPolygon = rPolyPolygon.mpPolyPolygon; + return *this; + } + + void B3DPolyPolygon::makeUnique() + { + mpPolyPolygon.make_unique(); + mpPolyPolygon->makeUnique(); + } + + bool B3DPolyPolygon::operator==(const B3DPolyPolygon& rPolyPolygon) const + { + if(mpPolyPolygon.same_object(rPolyPolygon.mpPolyPolygon)) + return true; + + return ((*mpPolyPolygon) == (*rPolyPolygon.mpPolyPolygon)); + } + + bool B3DPolyPolygon::operator!=(const B3DPolyPolygon& rPolyPolygon) const + { + return !(*this == rPolyPolygon); + } + + sal_uInt32 B3DPolyPolygon::count() const + { + return mpPolyPolygon->count(); + } + + B3DPolygon B3DPolyPolygon::getB3DPolygon(sal_uInt32 nIndex) const + { + OSL_ENSURE(nIndex < mpPolyPolygon->count(), "B3DPolyPolygon access outside range (!)"); + + return mpPolyPolygon->getB3DPolygon(nIndex); + } + + void B3DPolyPolygon::setB3DPolygon(sal_uInt32 nIndex, const B3DPolygon& rPolygon) + { + OSL_ENSURE(nIndex < mpPolyPolygon->count(), "B3DPolyPolygon access outside range (!)"); + + if(getB3DPolygon(nIndex) != rPolygon) + mpPolyPolygon->setB3DPolygon(nIndex, rPolygon); + } + + bool B3DPolyPolygon::areBColorsUsed() const + { + for(sal_uInt32 a(0L); a < mpPolyPolygon->count(); a++) + { + if((mpPolyPolygon->getB3DPolygon(a)).areBColorsUsed()) + { + return true; + } + } + + return false; + } + + void B3DPolyPolygon::clearBColors() + { + if(areBColorsUsed()) + mpPolyPolygon->clearBColors(); + } + + void B3DPolyPolygon::transformNormals(const B3DHomMatrix& rMatrix) + { + if(!rMatrix.isIdentity()) + mpPolyPolygon->transformNormals(rMatrix); + } + + bool B3DPolyPolygon::areNormalsUsed() const + { + for(sal_uInt32 a(0L); a < mpPolyPolygon->count(); a++) + { + if((mpPolyPolygon->getB3DPolygon(a)).areNormalsUsed()) + { + return true; + } + } + + return false; + } + + void B3DPolyPolygon::clearNormals() + { + if(areNormalsUsed()) + mpPolyPolygon->clearNormals(); + } + + void B3DPolyPolygon::transformTextureCoordiantes(const B2DHomMatrix& rMatrix) + { + if(!rMatrix.isIdentity()) + mpPolyPolygon->transformTextureCoordiantes(rMatrix); + } + + bool B3DPolyPolygon::areTextureCoordinatesUsed() const + { + for(sal_uInt32 a(0L); a < mpPolyPolygon->count(); a++) + { + if((mpPolyPolygon->getB3DPolygon(a)).areTextureCoordinatesUsed()) + { + return true; + } + } + + return false; + } + + void B3DPolyPolygon::clearTextureCoordinates() + { + if(areTextureCoordinatesUsed()) + mpPolyPolygon->clearTextureCoordinates(); + } + + void B3DPolyPolygon::insert(sal_uInt32 nIndex, const B3DPolygon& rPolygon, sal_uInt32 nCount) + { + OSL_ENSURE(nIndex <= mpPolyPolygon->count(), "B3DPolyPolygon Insert outside range (!)"); + + if(nCount) + mpPolyPolygon->insert(nIndex, rPolygon, nCount); + } + + void B3DPolyPolygon::append(const B3DPolygon& rPolygon, sal_uInt32 nCount) + { + if(nCount) + mpPolyPolygon->insert(mpPolyPolygon->count(), rPolygon, nCount); + } + + void B3DPolyPolygon::insert(sal_uInt32 nIndex, const B3DPolyPolygon& rPolyPolygon) + { + OSL_ENSURE(nIndex <= mpPolyPolygon->count(), "B3DPolyPolygon Insert outside range (!)"); + + if(rPolyPolygon.count()) + mpPolyPolygon->insert(nIndex, rPolyPolygon); + } + + void B3DPolyPolygon::append(const B3DPolyPolygon& rPolyPolygon) + { + if(rPolyPolygon.count()) + mpPolyPolygon->insert(mpPolyPolygon->count(), rPolyPolygon); + } + + void B3DPolyPolygon::remove(sal_uInt32 nIndex, sal_uInt32 nCount) + { + OSL_ENSURE(nIndex + nCount <= mpPolyPolygon->count(), "B3DPolyPolygon Remove outside range (!)"); + + if(nCount) + mpPolyPolygon->remove(nIndex, nCount); + } + + void B3DPolyPolygon::clear() + { + mpPolyPolygon = DefaultPolyPolygon::get(); + } + + bool B3DPolyPolygon::isClosed() const + { + bool bRetval(true); + + // PolyPOlygon is closed when all contained Polygons are closed or + // no Polygon exists. + for(sal_uInt32 a(0L); bRetval && a < mpPolyPolygon->count(); a++) + { + if(!(mpPolyPolygon->getB3DPolygon(a)).isClosed()) + { + bRetval = false; + } + } + + return bRetval; + } + + void B3DPolyPolygon::setClosed(bool bNew) + { + if(bNew != isClosed()) + mpPolyPolygon->setClosed(bNew); + } + + void B3DPolyPolygon::flip() + { + mpPolyPolygon->flip(); + } + + bool B3DPolyPolygon::hasDoublePoints() const + { + bool bRetval(false); + + for(sal_uInt32 a(0L); !bRetval && a < mpPolyPolygon->count(); a++) + { + if((mpPolyPolygon->getB3DPolygon(a)).hasDoublePoints()) + { + bRetval = true; + } + } + + return bRetval; + } + + void B3DPolyPolygon::removeDoublePoints() + { + if(hasDoublePoints()) + mpPolyPolygon->removeDoublePoints(); + } + + void B3DPolyPolygon::transform(const B3DHomMatrix& rMatrix) + { + if(mpPolyPolygon->count() && !rMatrix.isIdentity()) + { + mpPolyPolygon->transform(rMatrix); + } + } +} // end of namespace basegfx + +// eof diff --git a/basegfx/source/polygon/b3dpolypolygontools.cxx b/basegfx/source/polygon/b3dpolypolygontools.cxx new file mode 100644 index 000000000000..d86a4526acfd --- /dev/null +++ b/basegfx/source/polygon/b3dpolypolygontools.cxx @@ -0,0 +1,556 @@ +/************************************************************************* + * + * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER. + * + * Copyright 2000, 2010 Oracle and/or its affiliates. + * + * OpenOffice.org - a multi-platform office productivity suite + * + * This file is part of OpenOffice.org. + * + * OpenOffice.org is free software: you can redistribute it and/or modify + * it under the terms of the GNU Lesser General Public License version 3 + * only, as published by the Free Software Foundation. + * + * OpenOffice.org is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU Lesser General Public License version 3 for more details + * (a copy is included in the LICENSE file that accompanied this code). + * + * You should have received a copy of the GNU Lesser General Public License + * version 3 along with OpenOffice.org. If not, see + * <http://www.openoffice.org/license.html> + * for a copy of the LGPLv3 License. + * + ************************************************************************/ + +// MARKER(update_precomp.py): autogen include statement, do not remove +#include "precompiled_basegfx.hxx" +#include <basegfx/polygon/b3dpolypolygontools.hxx> +#include <basegfx/range/b3drange.hxx> +#include <basegfx/polygon/b3dpolypolygon.hxx> +#include <basegfx/polygon/b3dpolygon.hxx> +#include <basegfx/polygon/b3dpolygontools.hxx> +#include <numeric> +#include <basegfx/matrix/b3dhommatrix.hxx> +#include <basegfx/numeric/ftools.hxx> +#include <osl/mutex.hxx> + +////////////////////////////////////////////////////////////////////////////// + +namespace basegfx +{ + namespace tools + { + // B3DPolyPolygon tools + B3DRange getRange(const B3DPolyPolygon& rCandidate) + { + B3DRange aRetval; + const sal_uInt32 nPolygonCount(rCandidate.count()); + + for(sal_uInt32 a(0L); a < nPolygonCount; a++) + { + B3DPolygon aCandidate = rCandidate.getB3DPolygon(a); + aRetval.expand(getRange(aCandidate)); + } + + return aRetval; + } + + void applyLineDashing(const B3DPolyPolygon& rCandidate, const ::std::vector<double>& rDotDashArray, B3DPolyPolygon* pLineTarget, B3DPolyPolygon* pGapTarget, double fFullDashDotLen) + { + if(0.0 == fFullDashDotLen && rDotDashArray.size()) + { + // calculate fFullDashDotLen from rDotDashArray + fFullDashDotLen = ::std::accumulate(rDotDashArray.begin(), rDotDashArray.end(), 0.0); + } + + if(rCandidate.count() && fFullDashDotLen > 0.0) + { + B3DPolyPolygon aLineTarget, aGapTarget; + + for(sal_uInt32 a(0L); a < rCandidate.count(); a++) + { + const B3DPolygon aCandidate(rCandidate.getB3DPolygon(a)); + + applyLineDashing( + aCandidate, + rDotDashArray, + pLineTarget ? &aLineTarget : 0, + pGapTarget ? &aGapTarget : 0, + fFullDashDotLen); + + if(pLineTarget) + { + pLineTarget->append(aLineTarget); + } + + if(pGapTarget) + { + pGapTarget->append(aGapTarget); + } + } + } + } + + B3DPolyPolygon createUnitCubePolyPolygon() + { + static B3DPolyPolygon aRetval; + ::osl::Mutex m_mutex; + + if(!aRetval.count()) + { + B3DPolygon aTemp; + aTemp.append(B3DPoint(0.0, 0.0, 1.0)); + aTemp.append(B3DPoint(0.0, 1.0, 1.0)); + aTemp.append(B3DPoint(1.0, 1.0, 1.0)); + aTemp.append(B3DPoint(1.0, 0.0, 1.0)); + aTemp.setClosed(true); + aRetval.append(aTemp); + + aTemp.clear(); + aTemp.append(B3DPoint(0.0, 0.0, 0.0)); + aTemp.append(B3DPoint(0.0, 1.0, 0.0)); + aTemp.append(B3DPoint(1.0, 1.0, 0.0)); + aTemp.append(B3DPoint(1.0, 0.0, 0.0)); + aTemp.setClosed(true); + aRetval.append(aTemp); + + aTemp.clear(); + aTemp.append(B3DPoint(0.0, 0.0, 0.0)); + aTemp.append(B3DPoint(0.0, 0.0, 1.0)); + aRetval.append(aTemp); + + aTemp.clear(); + aTemp.append(B3DPoint(0.0, 1.0, 0.0)); + aTemp.append(B3DPoint(0.0, 1.0, 1.0)); + aRetval.append(aTemp); + + aTemp.clear(); + aTemp.append(B3DPoint(1.0, 1.0, 0.0)); + aTemp.append(B3DPoint(1.0, 1.0, 1.0)); + aRetval.append(aTemp); + + aTemp.clear(); + aTemp.append(B3DPoint(1.0, 0.0, 0.0)); + aTemp.append(B3DPoint(1.0, 0.0, 1.0)); + aRetval.append(aTemp); + } + + return aRetval; + } + + B3DPolyPolygon createUnitCubeFillPolyPolygon() + { + static B3DPolyPolygon aRetval; + ::osl::Mutex m_mutex; + + if(!aRetval.count()) + { + B3DPolygon aTemp; + + // all points + const B3DPoint A(0.0, 0.0, 0.0); + const B3DPoint B(0.0, 1.0, 0.0); + const B3DPoint C(1.0, 1.0, 0.0); + const B3DPoint D(1.0, 0.0, 0.0); + const B3DPoint E(0.0, 0.0, 1.0); + const B3DPoint F(0.0, 1.0, 1.0); + const B3DPoint G(1.0, 1.0, 1.0); + const B3DPoint H(1.0, 0.0, 1.0); + + // create bottom + aTemp.append(D); + aTemp.append(A); + aTemp.append(E); + aTemp.append(H); + aTemp.setClosed(true); + aRetval.append(aTemp); + + // create front + aTemp.clear(); + aTemp.append(B); + aTemp.append(A); + aTemp.append(D); + aTemp.append(C); + aTemp.setClosed(true); + aRetval.append(aTemp); + + // create left + aTemp.clear(); + aTemp.append(E); + aTemp.append(A); + aTemp.append(B); + aTemp.append(F); + aTemp.setClosed(true); + aRetval.append(aTemp); + + // create top + aTemp.clear(); + aTemp.append(C); + aTemp.append(G); + aTemp.append(F); + aTemp.append(B); + aTemp.setClosed(true); + aRetval.append(aTemp); + + // create right + aTemp.clear(); + aTemp.append(H); + aTemp.append(G); + aTemp.append(C); + aTemp.append(D); + aTemp.setClosed(true); + aRetval.append(aTemp); + + // create back + aTemp.clear(); + aTemp.append(F); + aTemp.append(G); + aTemp.append(H); + aTemp.append(E); + aTemp.setClosed(true); + aRetval.append(aTemp); + } + + return aRetval; + } + + B3DPolyPolygon createCubePolyPolygonFromB3DRange( const B3DRange& rRange) + { + B3DPolyPolygon aRetval; + + if(!rRange.isEmpty()) + { + aRetval = createUnitCubePolyPolygon(); + B3DHomMatrix aTrans; + aTrans.scale(rRange.getWidth(), rRange.getHeight(), rRange.getDepth()); + aTrans.translate(rRange.getMinX(), rRange.getMinY(), rRange.getMinZ()); + aRetval.transform(aTrans); + aRetval.removeDoublePoints(); + } + + return aRetval; + } + + B3DPolyPolygon createCubeFillPolyPolygonFromB3DRange( const B3DRange& rRange) + { + B3DPolyPolygon aRetval; + + if(!rRange.isEmpty()) + { + aRetval = createUnitCubeFillPolyPolygon(); + B3DHomMatrix aTrans; + aTrans.scale(rRange.getWidth(), rRange.getHeight(), rRange.getDepth()); + aTrans.translate(rRange.getMinX(), rRange.getMinY(), rRange.getMinZ()); + aRetval.transform(aTrans); + aRetval.removeDoublePoints(); + } + + return aRetval; + } + + // helper for getting the 3D Point from given cartesian coordiantes. fVer is defined from + // [F_PI2 .. -F_PI2], fHor from [0.0 .. F_2PI] + inline B3DPoint getPointFromCartesian(double fVer, double fHor) + { + const double fCosHor(cos(fHor)); + return B3DPoint(fCosHor * cos(fVer), sin(fHor), fCosHor * -sin(fVer)); + } + + B3DPolyPolygon createUnitSpherePolyPolygon( + sal_uInt32 nHorSeg, sal_uInt32 nVerSeg, + double fVerStart, double fVerStop, + double fHorStart, double fHorStop) + { + B3DPolyPolygon aRetval; + sal_uInt32 a, b; + + if(!nHorSeg) + { + nHorSeg = fround(fabs(fHorStop - fHorStart) / (F_2PI / 24.0)); + } + + if(!nHorSeg) + { + nHorSeg = 1L; + } + + if(!nVerSeg) + { + nVerSeg = fround(fabs(fVerStop - fVerStart) / (F_2PI / 24.0)); + } + + if(!nVerSeg) + { + nVerSeg = 1L; + } + + // create constants + const double fVerDiffPerStep((fVerStop - fVerStart) / (double)nVerSeg); + const double fHorDiffPerStep((fHorStop - fHorStart) / (double)nHorSeg); + bool bHorClosed(fTools::equal(fHorStop - fHorStart, F_2PI)); + bool bVerFromTop(fTools::equal(fVerStart, F_PI2)); + bool bVerToBottom(fTools::equal(fVerStop, -F_PI2)); + + // create horizontal rings + const sal_uInt32 nLoopVerInit(bVerFromTop ? 1L : 0L); + const sal_uInt32 nLoopVerLimit(bVerToBottom ? nVerSeg : nVerSeg + 1L); + const sal_uInt32 nLoopHorLimit(bHorClosed ? nHorSeg : nHorSeg + 1L); + + for(a = nLoopVerInit; a < nLoopVerLimit; a++) + { + const double fVer(fVerStart + ((double)(a) * fVerDiffPerStep)); + B3DPolygon aNew; + + for(b = 0L; b < nLoopHorLimit; b++) + { + const double fHor(fHorStart + ((double)(b) * fHorDiffPerStep)); + aNew.append(getPointFromCartesian(fHor, fVer)); + } + + aNew.setClosed(bHorClosed); + aRetval.append(aNew); + } + + // create vertical half-rings + for(a = 0L; a < nLoopHorLimit; a++) + { + const double fHor(fHorStart + ((double)(a) * fHorDiffPerStep)); + B3DPolygon aNew; + + if(bVerFromTop) + { + aNew.append(B3DPoint(0.0, 1.0, 0.0)); + } + + for(b = nLoopVerInit; b < nLoopVerLimit; b++) + { + const double fVer(fVerStart + ((double)(b) * fVerDiffPerStep)); + aNew.append(getPointFromCartesian(fHor, fVer)); + } + + if(bVerToBottom) + { + aNew.append(B3DPoint(0.0, -1.0, 0.0)); + } + + aRetval.append(aNew); + } + + return aRetval; + } + + B3DPolyPolygon createSpherePolyPolygonFromB3DRange( const B3DRange& rRange, + sal_uInt32 nHorSeg, sal_uInt32 nVerSeg, + double fVerStart, double fVerStop, + double fHorStart, double fHorStop) + { + B3DPolyPolygon aRetval(createUnitSpherePolyPolygon(nHorSeg, nVerSeg, fVerStart, fVerStop, fHorStart, fHorStop)); + + if(aRetval.count()) + { + // move and scale whole construct which is now in [-1.0 .. 1.0] in all directions + B3DHomMatrix aTrans; + aTrans.translate(1.0, 1.0, 1.0); + aTrans.scale(rRange.getWidth() / 2.0, rRange.getHeight() / 2.0, rRange.getDepth() / 2.0); + aTrans.translate(rRange.getMinX(), rRange.getMinY(), rRange.getMinZ()); + aRetval.transform(aTrans); + } + + return aRetval; + } + + B3DPolyPolygon createUnitSphereFillPolyPolygon( + sal_uInt32 nHorSeg, sal_uInt32 nVerSeg, + bool bNormals, + double fVerStart, double fVerStop, + double fHorStart, double fHorStop) + { + B3DPolyPolygon aRetval; + + if(!nHorSeg) + { + nHorSeg = fround(fabs(fHorStop - fHorStart) / (F_2PI / 24.0)); + } + + if(!nHorSeg) + { + nHorSeg = 1L; + } + + if(!nVerSeg) + { + nVerSeg = fround(fabs(fVerStop - fVerStart) / (F_2PI / 24.0)); + } + + if(!nVerSeg) + { + nVerSeg = 1L; + } + + // vertical loop + for(sal_uInt32 a(0L); a < nVerSeg; a++) + { + const double fVer(fVerStart + (((fVerStop - fVerStart) * a) / nVerSeg)); + const double fVer2(fVerStart + (((fVerStop - fVerStart) * (a + 1)) / nVerSeg)); + + // horizontal loop + for(sal_uInt32 b(0L); b < nHorSeg; b++) + { + const double fHor(fHorStart + (((fHorStop - fHorStart) * b) / nHorSeg)); + const double fHor2(fHorStart + (((fHorStop - fHorStart) * (b + 1)) / nHorSeg)); + B3DPolygon aNew; + + aNew.append(getPointFromCartesian(fHor, fVer)); + aNew.append(getPointFromCartesian(fHor2, fVer)); + aNew.append(getPointFromCartesian(fHor2, fVer2)); + aNew.append(getPointFromCartesian(fHor, fVer2)); + + if(bNormals) + { + for(sal_uInt32 c(0L); c < aNew.count(); c++) + { + aNew.setNormal(c, ::basegfx::B3DVector(aNew.getB3DPoint(c))); + } + } + + aNew.setClosed(true); + aRetval.append(aNew); + } + } + + return aRetval; + } + + B3DPolyPolygon createSphereFillPolyPolygonFromB3DRange( const B3DRange& rRange, + sal_uInt32 nHorSeg, sal_uInt32 nVerSeg, + bool bNormals, + double fVerStart, double fVerStop, + double fHorStart, double fHorStop) + { + B3DPolyPolygon aRetval(createUnitSphereFillPolyPolygon(nHorSeg, nVerSeg, bNormals, fVerStart, fVerStop, fHorStart, fHorStop)); + + if(aRetval.count()) + { + // move and scale whole construct which is now in [-1.0 .. 1.0] in all directions + B3DHomMatrix aTrans; + aTrans.translate(1.0, 1.0, 1.0); + aTrans.scale(rRange.getWidth() / 2.0, rRange.getHeight() / 2.0, rRange.getDepth() / 2.0); + aTrans.translate(rRange.getMinX(), rRange.getMinY(), rRange.getMinZ()); + aRetval.transform(aTrans); + } + + return aRetval; + } + + B3DPolyPolygon applyDefaultNormalsSphere( const B3DPolyPolygon& rCandidate, const B3DPoint& rCenter) + { + B3DPolyPolygon aRetval; + + for(sal_uInt32 a(0L); a < rCandidate.count(); a++) + { + aRetval.append(applyDefaultNormalsSphere(rCandidate.getB3DPolygon(a), rCenter)); + } + + return aRetval; + } + + B3DPolyPolygon invertNormals( const B3DPolyPolygon& rCandidate) + { + B3DPolyPolygon aRetval; + + for(sal_uInt32 a(0L); a < rCandidate.count(); a++) + { + aRetval.append(invertNormals(rCandidate.getB3DPolygon(a))); + } + + return aRetval; + } + + B3DPolyPolygon applyDefaultTextureCoordinatesParallel( const B3DPolyPolygon& rCandidate, const B3DRange& rRange, bool bChangeX, bool bChangeY) + { + B3DPolyPolygon aRetval; + + for(sal_uInt32 a(0L); a < rCandidate.count(); a++) + { + aRetval.append(applyDefaultTextureCoordinatesParallel(rCandidate.getB3DPolygon(a), rRange, bChangeX, bChangeY)); + } + + return aRetval; + } + + B3DPolyPolygon applyDefaultTextureCoordinatesSphere( const B3DPolyPolygon& rCandidate, const B3DPoint& rCenter, bool bChangeX, bool bChangeY) + { + B3DPolyPolygon aRetval; + + for(sal_uInt32 a(0L); a < rCandidate.count(); a++) + { + aRetval.append(applyDefaultTextureCoordinatesSphere(rCandidate.getB3DPolygon(a), rCenter, bChangeX, bChangeY)); + } + + return aRetval; + } + + bool isInside(const B3DPolyPolygon& rCandidate, const B3DPoint& rPoint, bool bWithBorder) + { + const sal_uInt32 nPolygonCount(rCandidate.count()); + + if(1L == nPolygonCount) + { + return isInside(rCandidate.getB3DPolygon(0), rPoint, bWithBorder); + } + else + { + sal_Int32 nInsideCount(0); + + for(sal_uInt32 a(0); a < nPolygonCount; a++) + { + const B3DPolygon aPolygon(rCandidate.getB3DPolygon(a)); + const bool bInside(isInside(aPolygon, rPoint, bWithBorder)); + + if(bInside) + { + nInsideCount++; + } + } + + return (nInsideCount % 2L); + } + } + + ////////////////////////////////////////////////////////////////////// + // comparators with tolerance for 3D PolyPolygons + + bool equal(const B3DPolyPolygon& rCandidateA, const B3DPolyPolygon& rCandidateB, const double& rfSmallValue) + { + const sal_uInt32 nPolygonCount(rCandidateA.count()); + + if(nPolygonCount != rCandidateB.count()) + return false; + + for(sal_uInt32 a(0); a < nPolygonCount; a++) + { + const B3DPolygon aCandidate(rCandidateA.getB3DPolygon(a)); + + if(!equal(aCandidate, rCandidateB.getB3DPolygon(a), rfSmallValue)) + return false; + } + + return true; + } + + bool equal(const B3DPolyPolygon& rCandidateA, const B3DPolyPolygon& rCandidateB) + { + const double fSmallValue(fTools::getSmallValue()); + + return equal(rCandidateA, rCandidateB, fSmallValue); + } + + } // end of namespace tools +} // end of namespace basegfx + +////////////////////////////////////////////////////////////////////////////// + +// eof diff --git a/basegfx/source/polygon/makefile.mk b/basegfx/source/polygon/makefile.mk new file mode 100644 index 000000000000..aeb0af6c5d1b --- /dev/null +++ b/basegfx/source/polygon/makefile.mk @@ -0,0 +1,62 @@ +#************************************************************************* +# +# DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER. +# +# Copyright 2000, 2010 Oracle and/or its affiliates. +# +# OpenOffice.org - a multi-platform office productivity suite +# +# This file is part of OpenOffice.org. +# +# OpenOffice.org is free software: you can redistribute it and/or modify +# it under the terms of the GNU Lesser General Public License version 3 +# only, as published by the Free Software Foundation. +# +# OpenOffice.org is distributed in the hope that it will be useful, +# but WITHOUT ANY WARRANTY; without even the implied warranty of +# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +# GNU Lesser General Public License version 3 for more details +# (a copy is included in the LICENSE file that accompanied this code). +# +# You should have received a copy of the GNU Lesser General Public License +# version 3 along with OpenOffice.org. If not, see +# <http://www.openoffice.org/license.html> +# for a copy of the LGPLv3 License. +# +#************************************************************************* + +PRJ=..$/.. +PRJNAME=basegfx +TARGET=polygon + +#UNOUCRRDB=$(SOLARBINDIR)$/applicat.rdb +ENABLE_EXCEPTIONS=TRUE +#USE_DEFFILE=TRUE + +# --- Settings ---------------------------------- + +.INCLUDE : settings.mk + +# --- Files ------------------------------------- + +SLOFILES= \ + $(SLO)$/b2dpolygon.obj \ + $(SLO)$/b2dpolygontools.obj \ + $(SLO)$/b2dpolypolygon.obj \ + $(SLO)$/b2dpolypolygontools.obj \ + $(SLO)$/b2dsvgpolypolygon.obj \ + $(SLO)$/b2dlinegeometry.obj \ + $(SLO)$/b2dpolypolygoncutter.obj \ + $(SLO)$/b2dpolypolygonrasterconverter.obj \ + $(SLO)$/b2dpolygonclipper.obj \ + $(SLO)$/b2dpolygontriangulator.obj \ + $(SLO)$/b2dpolygoncutandtouch.obj \ + $(SLO)$/b3dpolygon.obj \ + $(SLO)$/b3dpolygontools.obj \ + $(SLO)$/b3dpolypolygon.obj \ + $(SLO)$/b3dpolypolygontools.obj \ + $(SLO)$/b3dpolygonclipper.obj + +# --- Targets ---------------------------------- + +.INCLUDE : target.mk |