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diff --git a/basegfx/source/curve/b2dbeziertools.cxx b/basegfx/source/curve/b2dbeziertools.cxx
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+/*************************************************************************
+ *
+ * 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/curve/b2dbeziertools.hxx>
+#include <basegfx/curve/b2dcubicbezier.hxx>
+#include <algorithm>
+
+//////////////////////////////////////////////////////////////////////////////
+
+namespace basegfx
+{
+ B2DCubicBezierHelper::B2DCubicBezierHelper(const B2DCubicBezier& rBase, sal_uInt32 nDivisions)
+ : maLengthArray(),
+ mnEdgeCount(0)
+ {
+ const bool bIsBezier(rBase.isBezier());
+
+ if(bIsBezier)
+ {
+ // check nDivisions; at least one is needed, but also prevent too big values
+ if(nDivisions < 1)
+ {
+ nDivisions = 1;
+ }
+ else if(nDivisions > 1000)
+ {
+ nDivisions = 1000;
+ }
+
+ // set nEdgeCount
+ mnEdgeCount = nDivisions + 1;
+
+ // fill in maLengthArray
+ maLengthArray.clear();
+ maLengthArray.reserve(mnEdgeCount);
+ B2DPoint aCurrent(rBase.getStartPoint());
+ double fLength(0.0);
+
+ for(sal_uInt32 a(1);;)
+ {
+ const B2DPoint aNext(rBase.interpolatePoint((double)a / (double)mnEdgeCount));
+ const B2DVector aEdge(aNext - aCurrent);
+
+ fLength += aEdge.getLength();
+ maLengthArray.push_back(fLength);
+
+ if(++a < mnEdgeCount)
+ {
+ aCurrent = aNext;
+ }
+ else
+ {
+ const B2DPoint aLastNext(rBase.getEndPoint());
+ const B2DVector aLastEdge(aLastNext - aNext);
+
+ fLength += aLastEdge.getLength();
+ maLengthArray.push_back(fLength);
+ break;
+ }
+ }
+ }
+ else
+ {
+ maLengthArray.clear();
+ maLengthArray.push_back(rBase.getEdgeLength());
+ mnEdgeCount = 1;
+ }
+ }
+
+ double B2DCubicBezierHelper::distanceToRelative(double fDistance) const
+ {
+ if(fDistance <= 0.0)
+ {
+ return 0.0;
+ }
+
+ const double fLength(getLength());
+
+ if(fTools::moreOrEqual(fDistance, fLength))
+ {
+ return 1.0;
+ }
+
+ // fDistance is in ]0.0 .. fLength[
+
+ if(1 == mnEdgeCount)
+ {
+ // not a bezier, linear edge
+ return fDistance / fLength;
+ }
+
+ // it is a bezier
+ ::std::vector< double >::const_iterator aIter = ::std::lower_bound(maLengthArray.begin(), maLengthArray.end(), fDistance);
+ const sal_uInt32 nIndex(aIter - maLengthArray.begin());
+ const double fHighBound(maLengthArray[nIndex]);
+ const double fLowBound(nIndex ? maLengthArray[nIndex - 1] : 0.0);
+ const double fLinearInterpolatedLength((fDistance - fLowBound) / (fHighBound - fLowBound));
+
+ return (static_cast< double >(nIndex) + fLinearInterpolatedLength) / static_cast< double >(mnEdgeCount);
+ }
+
+ double B2DCubicBezierHelper::relativeToDistance(double fRelative) const
+ {
+ if(fRelative <= 0.0)
+ {
+ return 0.0;
+ }
+
+ const double fLength(getLength());
+
+ if(fTools::moreOrEqual(fRelative, 1.0))
+ {
+ return fLength;
+ }
+
+ // fRelative is in ]0.0 .. 1.0[
+
+ if(1 == mnEdgeCount)
+ {
+ // not a bezier, linear edge
+ return fRelative * fLength;
+ }
+
+ // fRelative is in ]0.0 .. 1.0[
+ const double fIndex(fRelative * static_cast< double >(mnEdgeCount));
+ double fIntIndex;
+ const double fFractIndex(modf(fIndex, &fIntIndex));
+ const sal_uInt32 nIntIndex(static_cast< sal_uInt32 >(fIntIndex));
+ const double fStartDistance(nIntIndex ? maLengthArray[nIntIndex - 1] : 0.0);
+
+ return fStartDistance + ((maLengthArray[nIntIndex] - fStartDistance) * fFractIndex);
+ }
+} // end of namespace basegfx
+
+//////////////////////////////////////////////////////////////////////////////
+
+// eof