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+/* -*- Mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
+/*
+ * This file is part of the LibreOffice project.
+ *
+ * This Source Code Form is subject to the terms of the Mozilla Public
+ * License, v. 2.0. If a copy of the MPL was not distributed with this
+ * file, You can obtain one at http://mozilla.org/MPL/2.0/.
+ *
+ * This file incorporates work covered by the following license notice:
+ *
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements. See the NOTICE file distributed
+ * with this work for additional information regarding copyright
+ * ownership. The ASF licenses this file to you under the Apache
+ * License, Version 2.0 (the "License"); you may not use this file
+ * except in compliance with the License. You may obtain a copy of
+ * the License at http://www.apache.org/licenses/LICENSE-2.0 .
+ */
+
+#include <osl/diagnose.h>
+#include <sal/log.hxx>
+#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>
+#include <com/sun/star/drawing/LineCap.hpp>
+#include <basegfx/polygon/b2dpolypolygoncutter.hxx>
+#include <basegfx/polygon/b2dpolygontriangulator.hxx>
+
+namespace basegfx::utils
+{
+ B2DPolyPolygon createAreaGeometryForLineStartEnd(
+ const B2DPolygon& rCandidate,
+ const B2DPolyPolygon& rArrow,
+ bool bStart,
+ double fWidth,
+ double fCandidateLength,
+ double fDockingPosition, // 0->top, 1->bottom
+ double* pConsumedLength,
+ double fShift)
+ {
+ B2DPolyPolygon aRetval;
+ assert((rCandidate.count() > 1) && "createAreaGeometryForLineStartEnd: Line polygon has too few points");
+ assert((rArrow.count() > 0) && "createAreaGeometryForLineStartEnd: Empty arrow utils::PolyPolygon");
+ assert((fWidth > 0.0) && "createAreaGeometryForLineStartEnd: Width too small");
+ assert((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::utils::createTranslateB2DHomMatrix(
+ -aArrowSize.getCenter().getX(), -aArrowSize.getMinimum().getY()));
+
+ // scale to target size
+ const double fArrowScale(fWidth / (aArrowSize.getWidth()));
+ 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 + fShift);
+
+ // 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) - fShift);
+ const B2DVector aHead(rCandidate.getB2DPoint(bStart ? 0 : rCandidate.count() - 1));
+ 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()) + F_PI2);
+
+ // 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
+
+namespace basegfx
+{
+ // anonymous 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 -> balloon 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,
+ bool bStartRound,
+ bool bEndRound,
+ bool bStartSquare,
+ bool bEndSquare,
+ basegfx::triangulator::B2DTriangleVector* pTriangles)
+ {
+ // 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));
+ B2DVector aTangentA(rEdge.getTangent(0.0)); aTangentA.normalize();
+ B2DVector aTangentB(rEdge.getTangent(1.0)); aTangentB.normalize();
+ const B2DVector aNormalizedPerpendicularA(getPerpendicular(aTangentA));
+ const B2DVector aNormalizedPerpendicularB(getPerpendicular(aTangentB));
+
+ // create upper displacement vectors and check if they cut
+ const B2DVector aPerpendStartA(aNormalizedPerpendicularA * -fHalfLineWidth);
+ const B2DVector aPerpendEndA(aNormalizedPerpendicularB * -fHalfLineWidth);
+ double fCutA(0.0);
+ const CutFlagValue aCutA(utils::findCut(
+ rEdge.getStartPoint(), aPerpendStartA,
+ rEdge.getEndPoint(), aPerpendEndA,
+ CutFlagValue::ALL, &fCutA));
+ const bool bCutA(aCutA != CutFlagValue::NONE);
+
+ // create lower displacement vectors and check if they cut
+ const B2DVector aPerpendStartB(aNormalizedPerpendicularA * fHalfLineWidth);
+ const B2DVector aPerpendEndB(aNormalizedPerpendicularB * fHalfLineWidth);
+ double fCutB(0.0);
+ const CutFlagValue aCutB(utils::findCut(
+ rEdge.getEndPoint(), aPerpendEndB,
+ rEdge.getStartPoint(), aPerpendStartB,
+ CutFlagValue::ALL, &fCutB));
+ const bool bCutB(aCutB != CutFlagValue::NONE);
+
+ // check if cut happens
+ const bool bCut(bCutA || bCutB);
+ B2DPoint aCutPoint;
+
+ // create left edge
+ if(bStartRound || bStartSquare)
+ {
+ if(bStartRound)
+ {
+ basegfx::B2DPolygon aStartPolygon(utils::createHalfUnitCircle());
+
+ aStartPolygon.transform(
+ utils::createScaleShearXRotateTranslateB2DHomMatrix(
+ fHalfLineWidth, fHalfLineWidth,
+ 0.0,
+ atan2(aTangentA.getY(), aTangentA.getX()) + F_PI2,
+ rEdge.getStartPoint().getX(), rEdge.getStartPoint().getY()));
+ aBezierPolygon.append(aStartPolygon);
+ }
+ else // bStartSquare
+ {
+ const basegfx::B2DPoint aStart(rEdge.getStartPoint() - (aTangentA * fHalfLineWidth));
+
+ if(bCutB)
+ {
+ aBezierPolygon.append(rEdge.getStartPoint() + aPerpendStartB);
+ }
+
+ aBezierPolygon.append(aStart + aPerpendStartB);
+ aBezierPolygon.append(aStart + aPerpendStartA);
+
+ if(bCutA)
+ {
+ aBezierPolygon.append(rEdge.getStartPoint() + aPerpendStartA);
+ }
+ }
+ }
+ else
+ {
+ // append original in-between point
+ aBezierPolygon.append(rEdge.getStartPoint());
+ }
+
+ // create upper edge.
+ {
+ if(bCutA)
+ {
+ // calculate cut point and add
+ aCutPoint = rEdge.getStartPoint() + (aPerpendStartA * fCutA);
+ aBezierPolygon.append(aCutPoint);
+ }
+ else
+ {
+ // create scaled bezier segment
+ const B2DPoint aStart(rEdge.getStartPoint() + aPerpendStartA);
+ const B2DPoint aEnd(rEdge.getEndPoint() + aPerpendEndA);
+ 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);
+ }
+ }
+
+ // create right edge
+ if(bEndRound || bEndSquare)
+ {
+ if(bEndRound)
+ {
+ basegfx::B2DPolygon aEndPolygon(utils::createHalfUnitCircle());
+
+ aEndPolygon.transform(
+ utils::createScaleShearXRotateTranslateB2DHomMatrix(
+ fHalfLineWidth, fHalfLineWidth,
+ 0.0,
+ atan2(aTangentB.getY(), aTangentB.getX()) - F_PI2,
+ rEdge.getEndPoint().getX(), rEdge.getEndPoint().getY()));
+ aBezierPolygon.append(aEndPolygon);
+ }
+ else // bEndSquare
+ {
+ const basegfx::B2DPoint aEnd(rEdge.getEndPoint() + (aTangentB * fHalfLineWidth));
+
+ if(bCutA)
+ {
+ aBezierPolygon.append(rEdge.getEndPoint() + aPerpendEndA);
+ }
+
+ aBezierPolygon.append(aEnd + aPerpendEndA);
+ aBezierPolygon.append(aEnd + aPerpendEndB);
+
+ if(bCutB)
+ {
+ aBezierPolygon.append(rEdge.getEndPoint() + aPerpendEndB);
+ }
+ }
+ }
+ else
+ {
+ // append original in-between point
+ aBezierPolygon.append(rEdge.getEndPoint());
+ }
+
+ // create lower edge.
+ {
+ if(bCutB)
+ {
+ // calculate cut point and add
+ aCutPoint = rEdge.getEndPoint() + (aPerpendEndB * fCutB);
+ aBezierPolygon.append(aCutPoint);
+ }
+ else
+ {
+ // create scaled bezier segment
+ const B2DPoint aStart(rEdge.getEndPoint() + aPerpendEndB);
+ const B2DPoint aEnd(rEdge.getStartPoint() + aPerpendStartB);
+ 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);
+ }
+ }
+
+ // close
+ aBezierPolygon.setClosed(true);
+
+ if(bStartRound || bEndRound)
+ {
+ // double points possible when round caps are used at start or end
+ aBezierPolygon.removeDoublePoints();
+ }
+
+ if(bCut && ((bStartRound || bStartSquare) && (bEndRound || bEndSquare)))
+ {
+ // When cut exists and both ends are extended with caps, a self-intersecting polygon
+ // is created; one cut point is known, but there is a 2nd one in the caps geometry.
+ // Solve by using tooling.
+ // Remark: This nearly never happens due to curve preparations to extreme points
+ // and maximum angle turning, but I constructed a test case and checked that it is
+ // working properly.
+ const B2DPolyPolygon aTemp(utils::solveCrossovers(aBezierPolygon));
+ const sal_uInt32 nTempCount(aTemp.count());
+
+ if(nTempCount)
+ {
+ if(nTempCount > 1)
+ {
+ // as expected, multiple polygons (with same orientation). Remove
+ // the one which contains aCutPoint, or better take the one without
+ for (sal_uInt32 a(0); a < nTempCount; a++)
+ {
+ aBezierPolygon = aTemp.getB2DPolygon(a);
+
+ const sal_uInt32 nCandCount(aBezierPolygon.count());
+
+ for(sal_uInt32 b(0); b < nCandCount; b++)
+ {
+ if(aCutPoint.equal(aBezierPolygon.getB2DPoint(b)))
+ {
+ aBezierPolygon.clear();
+ break;
+ }
+ }
+
+ if(aBezierPolygon.count())
+ {
+ break;
+ }
+ }
+
+ OSL_ENSURE(aBezierPolygon.count(), "Error in line geometry creation, could not solve self-intersection (!)");
+ }
+ else
+ {
+ // none found, use result
+ aBezierPolygon = aTemp.getB2DPolygon(0);
+ }
+ }
+ else
+ {
+ OSL_ENSURE(false, "Error in line geometry creation, could not solve self-intersection (!)");
+ }
+ }
+
+ if(nullptr != pTriangles)
+ {
+ const basegfx::triangulator::B2DTriangleVector aResult(
+ basegfx::triangulator::triangulate(
+ aBezierPolygon));
+ pTriangles->insert(pTriangles->end(), aResult.begin(), aResult.end());
+ aBezierPolygon.clear();
+ }
+
+ // return
+ return aBezierPolygon;
+ }
+ else
+ {
+ // Get start and end point, create tangent and set to needed length
+ B2DVector aTangent(rEdge.getEndPoint() - rEdge.getStartPoint());
+ aTangent.setLength(fHalfLineWidth);
+
+ // prepare return value
+ B2DPolygon aEdgePolygon;
+
+ // buffered angle
+ double fAngle(0.0);
+ bool bAngle(false);
+
+ // buffered perpendicular
+ B2DVector aPerpend;
+ bool bPerpend(false);
+
+ // create left vertical
+ if(bStartRound)
+ {
+ aEdgePolygon = utils::createHalfUnitCircle();
+ fAngle = atan2(aTangent.getY(), aTangent.getX());
+ bAngle = true;
+ aEdgePolygon.transform(
+ utils::createScaleShearXRotateTranslateB2DHomMatrix(
+ fHalfLineWidth, fHalfLineWidth,
+ 0.0,
+ fAngle + F_PI2,
+ rEdge.getStartPoint().getX(), rEdge.getStartPoint().getY()));
+ }
+ else
+ {
+ aPerpend.setX(-aTangent.getY());
+ aPerpend.setY(aTangent.getX());
+ bPerpend = true;
+
+ if(bStartSquare)
+ {
+ const basegfx::B2DPoint aStart(rEdge.getStartPoint() - aTangent);
+
+ aEdgePolygon.append(aStart + aPerpend);
+ aEdgePolygon.append(aStart - aPerpend);
+ }
+ else
+ {
+ aEdgePolygon.append(rEdge.getStartPoint() + aPerpend);
+ aEdgePolygon.append(rEdge.getStartPoint()); // keep the in-between point for numerical reasons
+ aEdgePolygon.append(rEdge.getStartPoint() - aPerpend);
+ }
+ }
+
+ // create right vertical
+ if(bEndRound)
+ {
+ basegfx::B2DPolygon aEndPolygon(utils::createHalfUnitCircle());
+
+ if(!bAngle)
+ {
+ fAngle = atan2(aTangent.getY(), aTangent.getX());
+ }
+
+ aEndPolygon.transform(
+ utils::createScaleShearXRotateTranslateB2DHomMatrix(
+ fHalfLineWidth, fHalfLineWidth,
+ 0.0,
+ fAngle - F_PI2,
+ rEdge.getEndPoint().getX(), rEdge.getEndPoint().getY()));
+ aEdgePolygon.append(aEndPolygon);
+ }
+ else
+ {
+ if(!bPerpend)
+ {
+ aPerpend.setX(-aTangent.getY());
+ aPerpend.setY(aTangent.getX());
+ }
+
+ if(bEndSquare)
+ {
+ const basegfx::B2DPoint aEnd(rEdge.getEndPoint() + aTangent);
+
+ aEdgePolygon.append(aEnd - aPerpend);
+ aEdgePolygon.append(aEnd + aPerpend);
+ }
+ else
+ {
+ aEdgePolygon.append(rEdge.getEndPoint() - aPerpend);
+ aEdgePolygon.append(rEdge.getEndPoint()); // keep the in-between point for numerical reasons
+ aEdgePolygon.append(rEdge.getEndPoint() + aPerpend);
+ }
+ }
+
+ // close and return
+ aEdgePolygon.setClosed(true);
+
+ if(nullptr != pTriangles)
+ {
+ const basegfx::triangulator::B2DTriangleVector aResult(
+ basegfx::triangulator::triangulate(
+ aEdgePolygon));
+ pTriangles->insert(pTriangles->end(), aResult.begin(), aResult.end());
+ aEdgePolygon.clear();
+ }
+
+ 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,
+ basegfx::triangulator::B2DTriangleVector* pTriangles)
+ {
+ SAL_WARN_IF(fHalfLineWidth <= 0.0,"basegfx","createAreaGeometryForJoin: LineWidth too small (!)");
+ assert((eJoin != B2DLineJoin::NONE) && "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(eJoin == B2DLineJoin::Miter)
+ {
+ const double fAngle(fabs(rPerpendPrev.angle(rPerpendEdge)));
+
+ if((F_PI - fAngle) < fMiterMinimumAngle)
+ {
+ // fallback to bevel
+ eJoin = B2DLineJoin::Bevel;
+ }
+ }
+
+ switch(eJoin)
+ {
+ case B2DLineJoin::Miter :
+ {
+ if(nullptr != pTriangles)
+ {
+ pTriangles->emplace_back(
+ aEndPoint,
+ rPoint,
+ aStartPoint);
+ }
+ else
+ {
+ 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);
+ utils::findCut(aStartPoint, rTangentPrev, aEndPoint, rTangentEdge, CutFlagValue::ALL, &fCutPos);
+
+ if(fCutPos != 0.0)
+ {
+ const B2DPoint aCutPoint(aStartPoint + (rTangentPrev * fCutPos));
+
+ if(nullptr != pTriangles)
+ {
+ pTriangles->emplace_back(
+ aStartPoint,
+ aCutPoint,
+ aEndPoint);
+ }
+ else
+ {
+ 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(utils::createPolygonFromEllipseSegment(rPoint, fHalfLineWidth, fHalfLineWidth, fAngleStart, fAngleEnd));
+
+ if(aBow.count() > 1)
+ {
+ if(nullptr != pTriangles)
+ {
+ for(sal_uInt32 a(0); a < aBow.count() - 1; a++)
+ {
+ pTriangles->emplace_back(
+ 0 == a ? aStartPoint : aBow.getB2DPoint(a),
+ rPoint,
+ aBow.count() - 1 == a + 1 ? aEndPoint : aBow.getB2DPoint(a + 1));
+ }
+ }
+ else
+ {
+ // #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
+ {
+ [[fallthrough]]; // wanted fall-through to default
+ }
+ }
+ default: // B2DLineJoin::Bevel
+ {
+ if(nullptr != pTriangles)
+ {
+ pTriangles->emplace_back(
+ aEndPoint,
+ rPoint,
+ aStartPoint);
+ }
+ else
+ {
+ aEdgePolygon.append(aEndPoint);
+ aEdgePolygon.append(rPoint);
+ aEdgePolygon.append(aStartPoint);
+ }
+
+ break;
+ }
+ }
+
+ // create last polygon part for edge
+ aEdgePolygon.setClosed(true);
+
+ return aEdgePolygon;
+ }
+ } // end of anonymous namespace
+
+ namespace utils
+ {
+ B2DPolyPolygon createAreaGeometry(
+ const B2DPolygon& rCandidate,
+ double fHalfLineWidth,
+ B2DLineJoin eJoin,
+ css::drawing::LineCap eCap,
+ double fMaxAllowedAngle,
+ double fMaxPartOfEdge,
+ double fMiterMinimumAngle,
+ basegfx::triangulator::B2DTriangleVector* pTriangles)
+ {
+ 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 bIsClosed(aCandidate.isClosed());
+ const sal_uInt32 nEdgeCount(bIsClosed ? nPointCount : nPointCount - 1);
+ const bool bLineCap(!bIsClosed && eCap != css::drawing::LineCap_BUTT);
+
+ if(nEdgeCount)
+ {
+ B2DCubicBezier aEdge;
+ B2DCubicBezier aPrev;
+
+ const bool bEventuallyCreateLineJoin(eJoin != B2DLineJoin::NONE);
+ // 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 || a != 0))
+ {
+ B2DVector aTangentPrev(aPrev.getTangent(1.0)); aTangentPrev.normalize();
+ B2DVector aTangentEdge(aEdge.getTangent(0.0)); aTangentEdge.normalize();
+ B2VectorOrientation aOrientation(getOrientation(aTangentPrev, aTangentEdge));
+
+ if(aOrientation == B2VectorOrientation::Neutral)
+ {
+ // they are parallel 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 = B2VectorOrientation::Positive;
+ }
+ }
+ }
+
+ if(aOrientation == B2VectorOrientation::Positive)
+ {
+ const B2DVector aPerpendPrev(getPerpendicular(aTangentPrev) * -fHalfLineWidth);
+ const B2DVector aPerpendEdge(getPerpendicular(aTangentEdge) * -fHalfLineWidth);
+
+ aRetval.append(
+ createAreaGeometryForJoin(
+ aTangentPrev,
+ aTangentEdge,
+ aPerpendPrev,
+ aPerpendEdge,
+ aEdge.getStartPoint(),
+ fHalfLineWidth,
+ eJoin,
+ fMiterMinimumAngle,
+ pTriangles));
+ }
+ else if(aOrientation == B2VectorOrientation::Negative)
+ {
+ const B2DVector aPerpendPrev(getPerpendicular(aTangentPrev) * fHalfLineWidth);
+ const B2DVector aPerpendEdge(getPerpendicular(aTangentEdge) * fHalfLineWidth);
+
+ aRetval.append(
+ createAreaGeometryForJoin(
+ aTangentEdge,
+ aTangentPrev,
+ aPerpendEdge,
+ aPerpendPrev,
+ aEdge.getStartPoint(),
+ fHalfLineWidth,
+ eJoin,
+ fMiterMinimumAngle,
+ pTriangles));
+ }
+ }
+
+ // create geometry for edge
+ const bool bLast(a + 1 == nEdgeCount);
+
+ if(bLineCap)
+ {
+ const bool bFirst(!a);
+
+ aRetval.append(
+ createAreaGeometryForEdge(
+ aEdge,
+ fHalfLineWidth,
+ bFirst && eCap == css::drawing::LineCap_ROUND,
+ bLast && eCap == css::drawing::LineCap_ROUND,
+ bFirst && eCap == css::drawing::LineCap_SQUARE,
+ bLast && eCap == css::drawing::LineCap_SQUARE,
+ pTriangles));
+ }
+ else
+ {
+ aRetval.append(
+ createAreaGeometryForEdge(
+ aEdge,
+ fHalfLineWidth,
+ false,
+ false,
+ false,
+ false,
+ pTriangles));
+ }
+
+ // prepare next step
+ if(!bLast)
+ {
+ if(bEventuallyCreateLineJoin)
+ {
+ aPrev = aEdge;
+ }
+
+ aEdge.setStartPoint(aEdge.getEndPoint());
+ }
+ }
+ }
+ else
+ {
+ // point count, but no edge count -> single point
+ const basegfx::B2DPolygon aCircle(
+ createPolygonFromCircle(
+ aCandidate.getB2DPoint(0),
+ fHalfLineWidth));
+
+ if(nullptr != pTriangles)
+ {
+ const basegfx::triangulator::B2DTriangleVector aResult(
+ basegfx::triangulator::triangulate(
+ aCircle));
+ pTriangles->insert(pTriangles->end(), aResult.begin(), aResult.end());
+ }
+ else
+ {
+ aRetval.append(aCircle);
+ }
+ }
+
+ return aRetval;
+ }
+ else
+ {
+ return B2DPolyPolygon(rCandidate);
+ }
+ }
+ } // end of namespace utils
+} // end of namespace basegfx
+
+/* vim:set shiftwidth=4 softtabstop=4 expandtab: */