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diff --git a/basegfx/source/polygon/b3dpolygontools.cxx b/basegfx/source/polygon/b3dpolygontools.cxx
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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 <basegfx/polygon/b3dpolygontools.hxx>
+#include <basegfx/polygon/b3dpolygon.hxx>
+#include <basegfx/polygon/b3dpolypolygon.hxx>
+#include <basegfx/numeric/ftools.hxx>
+#include <basegfx/range/b3drange.hxx>
+#include <basegfx/point/b2dpoint.hxx>
+#include <basegfx/tuple/b3ituple.hxx>
+#include <rtl/math.hxx>
+#include <numeric>
+
+namespace basegfx::utils
+{
+ // B3DPolygon tools
+ void checkClosed(B3DPolygon& rCandidate)
+ {
+ while(rCandidate.count() > 1
+ && rCandidate.getB3DPoint(0).equal(rCandidate.getB3DPoint(rCandidate.count() - 1)))
+ {
+ rCandidate.setClosed(true);
+ rCandidate.remove(rCandidate.count() - 1);
+ }
+ }
+
+ sal_uInt32 getIndexOfSuccessor(sal_uInt32 nIndex, const B3DPolygon& rCandidate)
+ {
+ OSL_ENSURE(nIndex < rCandidate.count(), "getIndexOfPredecessor: Access to polygon out of range (!)");
+
+ if(nIndex + 1 < rCandidate.count())
+ {
+ return nIndex + 1;
+ }
+ else
+ {
+ return 0;
+ }
+ }
+
+ B3DRange getRange(const B3DPolygon& rCandidate)
+ {
+ B3DRange aRetval;
+ const sal_uInt32 nPointCount(rCandidate.count());
+
+ for(sal_uInt32 a(0); a < nPointCount; a++)
+ {
+ const B3DPoint aTestPoint(rCandidate.getB3DPoint(a));
+ aRetval.expand(aTestPoint);
+ }
+
+ return aRetval;
+ }
+
+ double getLength(const B3DPolygon& rCandidate)
+ {
+ double fRetval(0.0);
+ const sal_uInt32 nPointCount(rCandidate.count());
+
+ if(nPointCount > 1)
+ {
+ const sal_uInt32 nLoopCount(rCandidate.isClosed() ? nPointCount : nPointCount - 1);
+
+ for(sal_uInt32 a(0); 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;
+ }
+
+ void applyLineDashing(
+ const B3DPolygon& rCandidate,
+ const std::vector<double>& rDotDashArray,
+ B3DPolyPolygon* pLineTarget,
+ double fDotDashLength)
+ {
+ // clear targets in any case
+ if(pLineTarget)
+ {
+ pLineTarget->clear();
+ }
+
+ // provide callback as lambda
+ auto aLineCallback(
+ nullptr == pLineTarget
+ ? std::function<void(const basegfx::B3DPolygon&)>()
+ : [&pLineTarget](const basegfx::B3DPolygon& rSnippet){ pLineTarget->append(rSnippet); });
+
+ // call version that uses callbacks
+ applyLineDashing(
+ rCandidate,
+ rDotDashArray,
+ aLineCallback,
+ fDotDashLength);
+ }
+
+ static void implHandleSnippet(
+ const B3DPolygon& rSnippet,
+ std::function<void(const basegfx::B3DPolygon& rSnippet)>& rTargetCallback,
+ B3DPolygon& rFirst,
+ B3DPolygon& rLast)
+ {
+ if(rSnippet.isClosed())
+ {
+ if(!rFirst.count())
+ {
+ rFirst = rSnippet;
+ }
+ else
+ {
+ if(rLast.count())
+ {
+ rTargetCallback(rLast);
+ }
+
+ rLast = rSnippet;
+ }
+ }
+ else
+ {
+ rTargetCallback(rSnippet);
+ }
+ }
+
+ static void implHandleFirstLast(
+ std::function<void(const basegfx::B3DPolygon& rSnippet)>& rTargetCallback,
+ B3DPolygon& rFirst,
+ B3DPolygon& rLast)
+ {
+ if(rFirst.count() && rLast.count()
+ && rFirst.getB3DPoint(0).equal(rLast.getB3DPoint(rLast.count() - 1)))
+ {
+ // start of first and end of last are the same -> merge them
+ rLast.append(rFirst);
+ rLast.removeDoublePoints();
+ rFirst.clear();
+ }
+
+ if(rLast.count())
+ {
+ rTargetCallback(rLast);
+ }
+
+ if(rFirst.count())
+ {
+ rTargetCallback(rFirst);
+ }
+ }
+
+ void applyLineDashing(
+ const B3DPolygon& rCandidate,
+ const std::vector<double>& rDotDashArray,
+ std::function<void(const basegfx::B3DPolygon& rSnippet)> aLineTargetCallback,
+ 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::lessOrEqual(fDotDashLength, 0.0) || !aLineTargetCallback || !nPointCount)
+ {
+ // parameters make no sense, just add source to targets
+ if(aLineTargetCallback)
+ {
+ aLineTargetCallback(rCandidate);
+ }
+
+ return;
+ }
+
+ // precalculate maximal acceptable length of candidate polygon assuming
+ // we want to create a maximum of fNumberOfAllowedSnippets. In 3D
+ // use less for fNumberOfAllowedSnippets, ca. 6553.6, double due to line & gap.
+ // Less in 3D due to potentially blowing up to rounded line segments.
+ static double fNumberOfAllowedSnippets(6553.5 * 2.0);
+ const double fAllowedLength((fNumberOfAllowedSnippets * fDotDashLength) / double(rDotDashArray.size()));
+ const double fCandidateLength(basegfx::utils::getLength(rCandidate));
+ std::vector<double> aDotDashArray(rDotDashArray);
+
+ if(fCandidateLength > fAllowedLength)
+ {
+ // we would produce more than fNumberOfAllowedSnippets, so
+ // adapt aDotDashArray to exactly produce assumed number. Also
+ // assert this to let the caller know about it.
+ // If this asserts: Please think about checking your DotDashArray
+ // before calling this function or evtl. use the callback version
+ // to *not* produce that much of data. Even then, you may still
+ // think about producing too much runtime (!)
+ assert(true && "applyLineDashing: potentially too expensive to do the requested dismantle - please consider stretched LineDash pattern (!)");
+
+ // calculate correcting factor, apply to aDotDashArray and fDotDashLength
+ // to enlarge these as needed
+ const double fFactor(fCandidateLength / fAllowedLength);
+ std::for_each(aDotDashArray.begin(), aDotDashArray.end(), [&fFactor](double &f){ f *= fFactor; });
+ fDotDashLength *= fFactor;
+ }
+
+ // prepare current edge's start
+ B3DPoint aCurrentPoint(rCandidate.getB3DPoint(0));
+ const bool bIsClosed(rCandidate.isClosed());
+ const sal_uInt32 nEdgeCount(bIsClosed ? nPointCount : nPointCount - 1);
+
+ // prepare DotDashArray iteration and the line/gap switching bool
+ sal_uInt32 nDotDashIndex(0);
+ bool bIsLine(true);
+ double fDotDashMovingLength(aDotDashArray[0]);
+ B3DPolygon aSnippet;
+
+ // remember 1st and last snippets to try to merge after execution
+ // is complete and hand to callback
+ B3DPolygon aFirstLine, aLastLine;
+
+ // iterate over all edges
+ for(sal_uInt32 a(0); a < nEdgeCount; a++)
+ {
+ // update current edge
+ const sal_uInt32 nNextIndex((a + 1) % nPointCount);
+ const B3DPoint aNextPoint(rCandidate.getB3DPoint(nNextIndex));
+ const double fEdgeLength(B3DVector(aNextPoint - aCurrentPoint).getLength());
+
+ if(!fTools::equalZero(fEdgeLength))
+ {
+ double fLastDotDashMovingLength(0.0);
+ while(fTools::less(fDotDashMovingLength, fEdgeLength))
+ {
+ // new split is inside edge, create and append snippet [fLastDotDashMovingLength, fDotDashMovingLength]
+ const bool bHandleLine(bIsLine && aLineTargetCallback);
+
+ if(bHandleLine)
+ {
+ if(!aSnippet.count())
+ {
+ aSnippet.append(interpolate(aCurrentPoint, aNextPoint, fLastDotDashMovingLength / fEdgeLength));
+ }
+
+ aSnippet.append(interpolate(aCurrentPoint, aNextPoint, fDotDashMovingLength / fEdgeLength));
+
+ implHandleSnippet(aSnippet, aLineTargetCallback, aFirstLine, aLastLine);
+
+ aSnippet.clear();
+ }
+
+ // prepare next DotDashArray step and flip line/gap flag
+ fLastDotDashMovingLength = fDotDashMovingLength;
+ fDotDashMovingLength += aDotDashArray[(++nDotDashIndex) % nDotDashCount];
+ bIsLine = !bIsLine;
+ }
+
+ // append snippet [fLastDotDashMovingLength, fEdgeLength]
+ const bool bHandleLine(bIsLine && aLineTargetCallback);
+
+ if(bHandleLine)
+ {
+ 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())
+ {
+ const bool bHandleLine(bIsLine && aLineTargetCallback);
+
+ if(bHandleLine)
+ {
+ implHandleSnippet(aSnippet, aLineTargetCallback, aFirstLine, aLastLine);
+ }
+ }
+
+ if(bIsClosed && aLineTargetCallback)
+ {
+ implHandleFirstLast(aLineTargetCallback, aFirstLine, aLastLine);
+ }
+ }
+
+ B3DPolygon applyDefaultNormalsSphere( const B3DPolygon& rCandidate, const B3DPoint& rCenter)
+ {
+ B3DPolygon aRetval(rCandidate);
+
+ for(sal_uInt32 a(0); 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(0); 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(0); 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 = 0; 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-coordinate, though
+ if(bChangeY)
+ {
+ aTexCoor.setY(fOne);
+
+ if(bChangeX)
+ {
+ bPolarPoints = true;
+ }
+ }
+ }
+ else
+ {
+ double fX(fOne - ((atan2(aVector.getZ(), aVector.getX()) + F_PI) / F_2PI));
+
+ // correct cartesian point coordinate 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 = 0; 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 - 1 : nPointCount - 1));
+ const B2DPoint aNextTexCoor(aRetval.getTextureCoordinate((a + 1) % 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 isInside(const B3DPolygon& rCandidate, const B3DPoint& rPoint, bool bWithBorder)
+ {
+ if(bWithBorder && isPointOnPolygon(rCandidate, rPoint))
+ {
+ 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 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))
+ {
+ 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, 0.0) && fTools::less(fParamTestOnCurr, 1.0))
+ {
+ return true;
+ }
+ }
+
+ return false;
+ }
+ }
+
+ bool isPointOnPolygon(const B3DPolygon& rCandidate, const B3DPoint& rPoint)
+ {
+ const sal_uInt32 nPointCount(rCandidate.count());
+
+ if(nPointCount > 1)
+ {
+ const sal_uInt32 nLoopCount(rCandidate.isClosed() ? nPointCount : nPointCount - 1);
+ 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, true/*bWithPoints*/))
+ {
+ return true;
+ }
+
+ aCurrentPoint = aNextPoint;
+ }
+ }
+ else if(nPointCount)
+ {
+ 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;
+ }
+
+ // 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
+
+/* vim:set shiftwidth=4 softtabstop=4 expandtab: */