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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 <sal/config.h>
+
+#include <algorithm>
+
+#include <tools/debug.hxx>
+#include <tools/poly.hxx>
+#include <tools/helpers.hxx>
+#include <tools/gen.hxx>
+
+#include <svx/xpoly.hxx>
+#include <xpolyimp.hxx>
+#include <basegfx/polygon/b2dpolygon.hxx>
+#include <basegfx/polygon/b2dpolygontools.hxx>
+#include <basegfx/range/b2drange.hxx>
+
+
+ImpXPolygon::ImpXPolygon(sal_uInt16 nInitSize, sal_uInt16 _nResize)
+ : pOldPointAry(nullptr)
+ , bDeleteOldPoints(false)
+ , nSize(0)
+ , nResize(_nResize)
+ , nPoints(0)
+{
+ Resize(nInitSize);
+}
+
+ImpXPolygon::ImpXPolygon( const ImpXPolygon& rImpXPoly )
+ : pOldPointAry(nullptr)
+ , bDeleteOldPoints(false)
+ , nSize(0)
+ , nResize(rImpXPoly.nResize)
+ , nPoints(0)
+{
+ rImpXPoly.CheckPointDelete();
+
+ Resize( rImpXPoly.nSize );
+
+ // copy
+ nPoints = rImpXPoly.nPoints;
+ memcpy( pPointAry.get(), rImpXPoly.pPointAry.get(), nSize*sizeof( Point ) );
+ memcpy( pFlagAry.get(), rImpXPoly.pFlagAry.get(), nSize );
+}
+
+ImpXPolygon::~ImpXPolygon()
+{
+ pPointAry.reset();
+ if ( bDeleteOldPoints )
+ {
+ delete[] pOldPointAry;
+ pOldPointAry = nullptr;
+ }
+}
+
+bool ImpXPolygon::operator==(const ImpXPolygon& rImpXPoly) const
+{
+ return nPoints==rImpXPoly.nPoints &&
+ (nPoints==0 ||
+ (memcmp(pPointAry.get(), rImpXPoly.pPointAry.get(), nPoints*sizeof(Point))==0 &&
+ memcmp(pFlagAry.get(), rImpXPoly.pFlagAry.get(), nPoints)==0));
+}
+
+/** Change polygon size
+ *
+ * @param nNewSize the new size of the polygon
+ * @param bDeletePoints if FALSE, do not delete the point array directly but
+ * wait for the next call before doing so. This prevents
+ * errors with XPoly[n] = XPoly[0] where a resize might
+ * destroy the right side point array too early.
+ */
+void ImpXPolygon::Resize( sal_uInt16 nNewSize, bool bDeletePoints )
+{
+ if( nNewSize == nSize )
+ return;
+
+ PolyFlags* pOldFlagAry = pFlagAry.release();
+ sal_uInt16 nOldSize = nSize;
+
+ CheckPointDelete();
+ pOldPointAry = pPointAry.release();
+
+ // Round the new size to a multiple of nResize, if
+ // the object was not newly created (nSize != 0)
+ if ( nSize != 0 && nNewSize > nSize )
+ {
+ DBG_ASSERT(nResize, "Trying to resize but nResize = 0 !");
+ nNewSize = nSize + ((nNewSize-nSize-1) / nResize + 1) * nResize;
+ }
+ // create point array
+ nSize = nNewSize;
+ pPointAry.reset( new Point[ nSize ] );
+
+ // create flag array
+ pFlagAry.reset( new PolyFlags[ nSize ] );
+ memset( pFlagAry.get(), 0, nSize );
+
+ // copy if needed
+ if (nOldSize)
+ {
+ if( nOldSize < nSize )
+ {
+ memcpy( pPointAry.get(), pOldPointAry, nOldSize*sizeof( Point ) );
+ memcpy( pFlagAry.get(), pOldFlagAry, nOldSize );
+ }
+ else
+ {
+ memcpy( pPointAry.get(), pOldPointAry, nSize*sizeof( Point ) );
+ memcpy( pFlagAry.get(), pOldFlagAry, nSize );
+
+ // adjust number of valid points
+ if( nPoints > nSize )
+ nPoints = nSize;
+ }
+ }
+ if ( bDeletePoints )
+ {
+ delete[] pOldPointAry;
+ pOldPointAry = nullptr;
+ }
+ else
+ bDeleteOldPoints = true;
+ delete[] pOldFlagAry;
+}
+
+void ImpXPolygon::InsertSpace( sal_uInt16 nPos, sal_uInt16 nCount )
+{
+ CheckPointDelete();
+
+ if ( nPos > nPoints )
+ nPos = nPoints;
+
+ // if the polygon is too small then enlarge it
+ if( (nPoints + nCount) > nSize )
+ Resize( nPoints + nCount );
+
+ // If the insert is not at the last position, move everything after backwards
+ if( nPos < nPoints )
+ {
+ sal_uInt16 nMove = nPoints - nPos;
+ memmove( &pPointAry[nPos+nCount], &pPointAry[nPos],
+ nMove * sizeof(Point) );
+ memmove( &pFlagAry[nPos+nCount], &pFlagAry[nPos], nMove );
+ }
+ std::fill(pPointAry.get() + nPos, pPointAry.get() + nPos + nCount, Point());
+ memset( &pFlagAry [nPos], 0, nCount );
+
+ nPoints = nPoints + nCount;
+}
+
+void ImpXPolygon::Remove( sal_uInt16 nPos, sal_uInt16 nCount )
+{
+ CheckPointDelete();
+
+ if( (nPos + nCount) > nPoints )
+ return;
+
+ sal_uInt16 nMove = nPoints - nPos - nCount;
+
+ if( nMove )
+ {
+ memmove( &pPointAry[nPos], &pPointAry[nPos+nCount],
+ nMove * sizeof(Point) );
+ memmove( &pFlagAry[nPos], &pFlagAry[nPos+nCount], nMove );
+ }
+ std::fill(pPointAry.get() + (nPoints - nCount), pPointAry.get() + nPoints, Point());
+ memset( &pFlagAry [nPoints - nCount], 0, nCount );
+ nPoints = nPoints - nCount;
+}
+
+void ImpXPolygon::CheckPointDelete() const
+{
+ if ( bDeleteOldPoints )
+ {
+ delete[] pOldPointAry;
+ const_cast< ImpXPolygon* >(this)->pOldPointAry = nullptr;
+ const_cast< ImpXPolygon* >(this)->bDeleteOldPoints = false;
+ }
+}
+
+XPolygon::XPolygon( sal_uInt16 nSize )
+ : pImpXPolygon( ImpXPolygon( nSize, 16 ) )
+{
+}
+
+XPolygon::XPolygon( const XPolygon& ) = default;
+
+XPolygon::XPolygon( XPolygon&& ) = default;
+
+/// create a XPolygon out of a standard polygon
+XPolygon::XPolygon( const tools::Polygon& rPoly )
+ : pImpXPolygon( rPoly.GetSize() )
+{
+ sal_uInt16 nSize = rPoly.GetSize();
+ pImpXPolygon->nPoints = nSize;
+
+ for( sal_uInt16 i = 0; i < nSize; i++ )
+ {
+ pImpXPolygon->pPointAry[i] = rPoly[i];
+ pImpXPolygon->pFlagAry[i] = rPoly.GetFlags( i );
+ }
+}
+
+/// create a rectangle (also with rounded corners) as a Bézier polygon
+XPolygon::XPolygon(const tools::Rectangle& rRect, tools::Long nRx, tools::Long nRy)
+ : pImpXPolygon( 17 )
+{
+ tools::Long nWh = (rRect.GetWidth() - 1) / 2;
+ tools::Long nHh = (rRect.GetHeight() - 1) / 2;
+
+ if ( nRx > nWh ) nRx = nWh;
+ if ( nRy > nHh ) nRy = nHh;
+
+ // negate Rx => circle clockwise
+ nRx = -nRx;
+
+ // factor for control points of the Bézier curve: 8/3 * (sin(45g) - 0.5)
+ tools::Long nXHdl = static_cast<tools::Long>(0.552284749 * nRx);
+ tools::Long nYHdl = static_cast<tools::Long>(0.552284749 * nRy);
+ sal_uInt16 nPos = 0;
+
+ if ( nRx && nRy )
+ {
+ Point aCenter;
+
+ for (sal_uInt16 nQuad = 0; nQuad < 4; nQuad++)
+ {
+ switch ( nQuad )
+ {
+ case 0: aCenter = rRect.TopLeft();
+ aCenter.AdjustX( -nRx );
+ aCenter.AdjustY(nRy );
+ break;
+ case 1: aCenter = rRect.TopRight();
+ aCenter.AdjustX(nRx );
+ aCenter.AdjustY(nRy );
+ break;
+ case 2: aCenter = rRect.BottomRight();
+ aCenter.AdjustX(nRx );
+ aCenter.AdjustY( -nRy );
+ break;
+ case 3: aCenter = rRect.BottomLeft();
+ aCenter.AdjustX( -nRx );
+ aCenter.AdjustY( -nRy );
+ break;
+ }
+ GenBezArc(aCenter, nRx, nRy, nXHdl, nYHdl, 0_deg100, 9000_deg100, nQuad, nPos);
+ pImpXPolygon->pFlagAry[nPos ] = PolyFlags::Smooth;
+ pImpXPolygon->pFlagAry[nPos+3] = PolyFlags::Smooth;
+ nPos += 4;
+ }
+ }
+ else
+ {
+ pImpXPolygon->pPointAry[nPos++] = rRect.TopLeft();
+ pImpXPolygon->pPointAry[nPos++] = rRect.TopRight();
+ pImpXPolygon->pPointAry[nPos++] = rRect.BottomRight();
+ pImpXPolygon->pPointAry[nPos++] = rRect.BottomLeft();
+ }
+ pImpXPolygon->pPointAry[nPos] = pImpXPolygon->pPointAry[0];
+ pImpXPolygon->nPoints = nPos + 1;
+}
+
+/// create an ellipse (curve) as Bézier polygon
+XPolygon::XPolygon(const Point& rCenter, tools::Long nRx, tools::Long nRy,
+ Degree100 nStartAngle, Degree100 nEndAngle, bool bClose)
+ : pImpXPolygon( 17 )
+{
+ nStartAngle %= 36000_deg100;
+ if ( nEndAngle > 36000_deg100 ) nEndAngle %= 36000_deg100;
+ bool bFull = (nStartAngle == 0_deg100 && nEndAngle == 36000_deg100);
+
+ // factor for control points of the Bézier curve: 8/3 * (sin(45g) - 0.5)
+ tools::Long nXHdl = static_cast<tools::Long>(0.552284749 * nRx);
+ tools::Long nYHdl = static_cast<tools::Long>(0.552284749 * nRy);
+ sal_uInt16 nPos = 0;
+ bool bLoopEnd = false;
+
+ do
+ {
+ Degree100 nA1, nA2;
+ sal_uInt16 nQuad = nStartAngle.get() / 9000;
+ if ( nQuad == 4 ) nQuad = 0;
+ bLoopEnd = CheckAngles(nStartAngle, nEndAngle, nA1, nA2);
+ GenBezArc(rCenter, nRx, nRy, nXHdl, nYHdl, nA1, nA2, nQuad, nPos);
+ nPos += 3;
+ if ( !bLoopEnd )
+ pImpXPolygon->pFlagAry[nPos] = PolyFlags::Smooth;
+
+ } while ( !bLoopEnd );
+
+ // if not a full circle then connect edges with center point if necessary
+ if ( !bFull && bClose )
+ pImpXPolygon->pPointAry[++nPos] = rCenter;
+
+ if ( bFull )
+ {
+ pImpXPolygon->pFlagAry[0 ] = PolyFlags::Smooth;
+ pImpXPolygon->pFlagAry[nPos] = PolyFlags::Smooth;
+ }
+ pImpXPolygon->nPoints = nPos + 1;
+}
+
+XPolygon::~XPolygon() = default;
+
+void XPolygon::SetPointCount( sal_uInt16 nPoints )
+{
+ std::as_const(pImpXPolygon)->CheckPointDelete();
+
+ if( pImpXPolygon->nSize < nPoints )
+ pImpXPolygon->Resize( nPoints );
+
+ if ( nPoints < pImpXPolygon->nPoints )
+ {
+ sal_uInt16 nSize = pImpXPolygon->nPoints - nPoints;
+ std::fill(
+ pImpXPolygon->pPointAry.get() + nPoints, pImpXPolygon->pPointAry.get() + nPoints + nSize, Point());
+ memset( &pImpXPolygon->pFlagAry [nPoints], 0, nSize );
+ }
+ pImpXPolygon->nPoints = nPoints;
+}
+
+sal_uInt16 XPolygon::GetSize() const
+{
+ pImpXPolygon->CheckPointDelete();
+ return pImpXPolygon->nSize;
+}
+
+sal_uInt16 XPolygon::GetPointCount() const
+{
+ pImpXPolygon->CheckPointDelete();
+ return pImpXPolygon->nPoints;
+}
+
+void XPolygon::Insert( sal_uInt16 nPos, const Point& rPt, PolyFlags eFlags )
+{
+ if (nPos>pImpXPolygon->nPoints) nPos=pImpXPolygon->nPoints;
+ pImpXPolygon->InsertSpace( nPos, 1 );
+ pImpXPolygon->pPointAry[nPos] = rPt;
+ pImpXPolygon->pFlagAry[nPos] = eFlags;
+}
+
+void XPolygon::Insert( sal_uInt16 nPos, const XPolygon& rXPoly )
+{
+ if (nPos>pImpXPolygon->nPoints) nPos=pImpXPolygon->nPoints;
+
+ sal_uInt16 nPoints = rXPoly.GetPointCount();
+
+ pImpXPolygon->InsertSpace( nPos, nPoints );
+
+ memcpy( &(pImpXPolygon->pPointAry[nPos]),
+ rXPoly.pImpXPolygon->pPointAry.get(),
+ nPoints*sizeof( Point ) );
+ memcpy( &(pImpXPolygon->pFlagAry[nPos]),
+ rXPoly.pImpXPolygon->pFlagAry.get(),
+ nPoints );
+}
+
+void XPolygon::Remove( sal_uInt16 nPos, sal_uInt16 nCount )
+{
+ pImpXPolygon->Remove( nPos, nCount );
+}
+
+void XPolygon::Move( tools::Long nHorzMove, tools::Long nVertMove )
+{
+ if ( !nHorzMove && !nVertMove )
+ return;
+
+ // move points
+ sal_uInt16 nCount = pImpXPolygon->nPoints;
+ for ( sal_uInt16 i = 0; i < nCount; i++ )
+ {
+ Point* pPt = &(pImpXPolygon->pPointAry[i]);
+ pPt->AdjustX( nHorzMove );
+ pPt->AdjustY( nVertMove );
+ }
+}
+
+tools::Rectangle XPolygon::GetBoundRect() const
+{
+ pImpXPolygon->CheckPointDelete();
+ tools::Rectangle aRetval;
+
+ if(pImpXPolygon->nPoints)
+ {
+ // #i37709#
+ // For historical reasons the control points are not part of the
+ // BoundRect. This makes it necessary to subdivide the polygon to
+ // get a relatively correct BoundRect. Numerically, this is not
+ // correct and never was.
+
+ const basegfx::B2DRange aPolygonRange(basegfx::utils::getRange(getB2DPolygon()));
+ aRetval = tools::Rectangle(
+ FRound(aPolygonRange.getMinX()), FRound(aPolygonRange.getMinY()),
+ FRound(aPolygonRange.getMaxX()), FRound(aPolygonRange.getMaxY()));
+ }
+
+ return aRetval;
+}
+
+const Point& XPolygon::operator[]( sal_uInt16 nPos ) const
+{
+ DBG_ASSERT(nPos < pImpXPolygon->nPoints, "Invalid index at const array access to XPolygon");
+
+ pImpXPolygon->CheckPointDelete();
+ return pImpXPolygon->pPointAry[nPos];
+}
+
+Point& XPolygon::operator[]( sal_uInt16 nPos )
+{
+ std::as_const(pImpXPolygon)->CheckPointDelete();
+
+ if( nPos >= pImpXPolygon->nSize )
+ {
+ DBG_ASSERT(pImpXPolygon->nResize, "Invalid index at array access to XPolygon");
+ pImpXPolygon->Resize(nPos + 1, false);
+ }
+ if( nPos >= pImpXPolygon->nPoints )
+ pImpXPolygon->nPoints = nPos + 1;
+
+ return pImpXPolygon->pPointAry[nPos];
+}
+
+XPolygon& XPolygon::operator=( const XPolygon& ) = default;
+
+XPolygon& XPolygon::operator=( XPolygon&& ) = default;
+
+bool XPolygon::operator==( const XPolygon& rXPoly ) const
+{
+ pImpXPolygon->CheckPointDelete();
+ return rXPoly.pImpXPolygon == pImpXPolygon;
+}
+
+/// get the flags for the point at the given position
+PolyFlags XPolygon::GetFlags( sal_uInt16 nPos ) const
+{
+ pImpXPolygon->CheckPointDelete();
+ return pImpXPolygon->pFlagAry[nPos];
+}
+
+/// set the flags for the point at the given position
+void XPolygon::SetFlags( sal_uInt16 nPos, PolyFlags eFlags )
+{
+ std::as_const(pImpXPolygon)->CheckPointDelete();
+ pImpXPolygon->pFlagAry[nPos] = eFlags;
+}
+
+/// short path to read the CONTROL flag directly (TODO: better explain what the sense behind this flag is!)
+bool XPolygon::IsControl(sal_uInt16 nPos) const
+{
+ return pImpXPolygon->pFlagAry[nPos] == PolyFlags::Control;
+}
+
+/// short path to read the SMOOTH and SYMMTR flag directly (TODO: better explain what the sense behind these flags is!)
+bool XPolygon::IsSmooth(sal_uInt16 nPos) const
+{
+ PolyFlags eFlag = pImpXPolygon->pFlagAry[nPos];
+ return ( eFlag == PolyFlags::Smooth || eFlag == PolyFlags::Symmetric );
+}
+
+/** calculate the euclidean distance between two points
+ *
+ * @param nP1 The first point
+ * @param nP2 The second point
+ */
+double XPolygon::CalcDistance(sal_uInt16 nP1, sal_uInt16 nP2)
+{
+ const Point& rP1 = pImpXPolygon->pPointAry[nP1];
+ const Point& rP2 = pImpXPolygon->pPointAry[nP2];
+ double fDx = rP2.X() - rP1.X();
+ double fDy = rP2.Y() - rP1.Y();
+ return std::hypot(fDx, fDy);
+}
+
+void XPolygon::SubdivideBezier(sal_uInt16 nPos, bool bCalcFirst, double fT)
+{
+ Point* pPoints = pImpXPolygon->pPointAry.get();
+ double fT2 = fT * fT;
+ double fT3 = fT * fT2;
+ double fU = 1.0 - fT;
+ double fU2 = fU * fU;
+ double fU3 = fU * fU2;
+ sal_uInt16 nIdx = nPos;
+ short nPosInc, nIdxInc;
+
+ if ( bCalcFirst )
+ {
+ nPos += 3;
+ nPosInc = -1;
+ nIdxInc = 0;
+ }
+ else
+ {
+ nPosInc = 1;
+ nIdxInc = 1;
+ }
+ pPoints[nPos].setX( static_cast<tools::Long>(fU3 * pPoints[nIdx ].X() +
+ fT * fU2 * pPoints[nIdx+1].X() * 3 +
+ fT2 * fU * pPoints[nIdx+2].X() * 3 +
+ fT3 * pPoints[nIdx+3].X()) );
+ pPoints[nPos].setY( static_cast<tools::Long>(fU3 * pPoints[nIdx ].Y() +
+ fT * fU2 * pPoints[nIdx+1].Y() * 3 +
+ fT2 * fU * pPoints[nIdx+2].Y() * 3 +
+ fT3 * pPoints[nIdx+3].Y()) );
+ nPos = nPos + nPosInc;
+ nIdx = nIdx + nIdxInc;
+ pPoints[nPos].setX( static_cast<tools::Long>(fU2 * pPoints[nIdx ].X() +
+ fT * fU * pPoints[nIdx+1].X() * 2 +
+ fT2 * pPoints[nIdx+2].X()) );
+ pPoints[nPos].setY( static_cast<tools::Long>(fU2 * pPoints[nIdx ].Y() +
+ fT * fU * pPoints[nIdx+1].Y() * 2 +
+ fT2 * pPoints[nIdx+2].Y()) );
+ nPos = nPos + nPosInc;
+ nIdx = nIdx + nIdxInc;
+ pPoints[nPos].setX( static_cast<tools::Long>(fU * pPoints[nIdx ].X() +
+ fT * pPoints[nIdx+1].X()) );
+ pPoints[nPos].setY( static_cast<tools::Long>(fU * pPoints[nIdx ].Y() +
+ fT * pPoints[nIdx+1].Y()) );
+}
+
+/// Generate a Bézier arc
+void XPolygon::GenBezArc(const Point& rCenter, tools::Long nRx, tools::Long nRy,
+ tools::Long nXHdl, tools::Long nYHdl, Degree100 nStart, Degree100 nEnd,
+ sal_uInt16 nQuad, sal_uInt16 nFirst)
+{
+ Point* pPoints = pImpXPolygon->pPointAry.get();
+ pPoints[nFirst ] = rCenter;
+ pPoints[nFirst+3] = rCenter;
+
+ if ( nQuad == 1 || nQuad == 2 )
+ {
+ nRx = -nRx; nXHdl = -nXHdl;
+ }
+ if ( nQuad == 0 || nQuad == 1 )
+ {
+ nRy = -nRy; nYHdl = -nYHdl;
+ }
+
+ if ( nQuad == 0 || nQuad == 2 )
+ {
+ pPoints[nFirst].AdjustX( nRx );
+ pPoints[nFirst+3].AdjustY( nRy );
+ }
+ else
+ {
+ pPoints[nFirst].AdjustY( nRy );
+ pPoints[nFirst+3].AdjustX( nRx );
+ }
+ pPoints[nFirst+1] = pPoints[nFirst];
+ pPoints[nFirst+2] = pPoints[nFirst+3];
+
+ if ( nQuad == 0 || nQuad == 2 )
+ {
+ pPoints[nFirst+1].AdjustY( nYHdl );
+ pPoints[nFirst+2].AdjustX( nXHdl );
+ }
+ else
+ {
+ pPoints[nFirst+1].AdjustX( nXHdl );
+ pPoints[nFirst+2].AdjustY( nYHdl );
+ }
+ if ( nStart > 0_deg100 )
+ SubdivideBezier(nFirst, false, static_cast<double>(nStart.get()) / 9000);
+ if ( nEnd < 9000_deg100 )
+ SubdivideBezier(nFirst, true, static_cast<double>((nEnd-nStart).get()) / (9000_deg100-nStart).get());
+ SetFlags(nFirst+1, PolyFlags::Control);
+ SetFlags(nFirst+2, PolyFlags::Control);
+}
+
+bool XPolygon::CheckAngles(Degree100& nStart, Degree100 nEnd, Degree100& nA1, Degree100& nA2)
+{
+ if ( nStart == 36000_deg100 ) nStart = 0_deg100;
+ if ( nEnd == 0_deg100 ) nEnd = 36000_deg100;
+ Degree100 nStPrev = nStart;
+ Degree100 nMax((nStart.get() / 9000 + 1) * 9000);
+ Degree100 nMin = nMax - 9000_deg100;
+
+ if ( nEnd >= nMax || nEnd <= nStart ) nA2 = 9000_deg100;
+ else nA2 = nEnd - nMin;
+ nA1 = nStart - nMin;
+ nStart = nMax;
+
+ // returns true when the last segment was calculated
+ return (nStPrev < nEnd && nStart >= nEnd);
+}
+
+/** Calculate a smooth transition to connect two Bézier curves
+ *
+ * This is done by projecting the corresponding point onto a line between
+ * two other points.
+ *
+ * @param nCenter The point at the end or beginning of the curve.
+ * If nCenter is at the end of the polygon the point is moved
+ * to the opposite side.
+ * @param nDrag The moved point that specifies the relocation.
+ * @param nPnt The point to modify.
+ */
+void XPolygon::CalcSmoothJoin(sal_uInt16 nCenter, sal_uInt16 nDrag, sal_uInt16 nPnt)
+{
+ // If nPoint is no control point, i.e. cannot be moved, then
+ // move nDrag instead on the line between nCenter and nPnt
+ if ( !IsControl(nPnt) )
+ {
+ sal_uInt16 nTmp = nDrag;
+ nDrag = nPnt;
+ nPnt = nTmp;
+ }
+ Point* pPoints = pImpXPolygon->pPointAry.get();
+ Point aDiff = pPoints[nDrag] - pPoints[nCenter];
+ double fDiv = CalcDistance(nCenter, nDrag);
+
+ if ( fDiv )
+ {
+ double fRatio = CalcDistance(nCenter, nPnt) / fDiv;
+ // keep the length if SMOOTH
+ if ( GetFlags(nCenter) == PolyFlags::Smooth || !IsControl(nDrag) )
+ {
+ aDiff.setX( static_cast<tools::Long>(fRatio * aDiff.X()) );
+ aDiff.setY( static_cast<tools::Long>(fRatio * aDiff.Y()) );
+ }
+ pPoints[nPnt] = pPoints[nCenter] - aDiff;
+ }
+}
+
+/** Calculate tangent between two Bézier curves
+ *
+ * @param nCenter start or end point of the curves
+ * @param nPrev previous reference point
+ * @param nNext next reference point
+ */
+void XPolygon::CalcTangent(sal_uInt16 nCenter, sal_uInt16 nPrev, sal_uInt16 nNext)
+{
+ double fAbsLen = CalcDistance(nNext, nPrev);
+
+ if ( !fAbsLen )
+ return;
+
+ const Point& rCenter = pImpXPolygon->pPointAry[nCenter];
+ Point& rNext = pImpXPolygon->pPointAry[nNext];
+ Point& rPrev = pImpXPolygon->pPointAry[nPrev];
+ Point aDiff = rNext - rPrev;
+ double fNextLen = CalcDistance(nCenter, nNext) / fAbsLen;
+ double fPrevLen = CalcDistance(nCenter, nPrev) / fAbsLen;
+
+ // same length for both sides if SYMMTR
+ if ( GetFlags(nCenter) == PolyFlags::Symmetric )
+ {
+ fPrevLen = (fNextLen + fPrevLen) / 2;
+ fNextLen = fPrevLen;
+ }
+ rNext.setX( rCenter.X() + static_cast<tools::Long>(fNextLen * aDiff.X()) );
+ rNext.setY( rCenter.Y() + static_cast<tools::Long>(fNextLen * aDiff.Y()) );
+ rPrev.setX( rCenter.X() - static_cast<tools::Long>(fPrevLen * aDiff.X()) );
+ rPrev.setY( rCenter.Y() - static_cast<tools::Long>(fPrevLen * aDiff.Y()) );
+}
+
+/// convert four polygon points into a Bézier curve
+void XPolygon::PointsToBezier(sal_uInt16 nFirst)
+{
+ double nFullLength, nPart1Length, nPart2Length;
+ double fX0, fY0, fX1, fY1, fX2, fY2, fX3, fY3;
+ double fTx1, fTx2, fTy1, fTy2;
+ double fT1, fU1, fT2, fU2, fV;
+ Point* pPoints = pImpXPolygon->pPointAry.get();
+
+ if ( nFirst > pImpXPolygon->nPoints - 4 || IsControl(nFirst) ||
+ IsControl(nFirst+1) || IsControl(nFirst+2) || IsControl(nFirst+3) )
+ return;
+
+ fTx1 = pPoints[nFirst+1].X();
+ fTy1 = pPoints[nFirst+1].Y();
+ fTx2 = pPoints[nFirst+2].X();
+ fTy2 = pPoints[nFirst+2].Y();
+ fX0 = pPoints[nFirst ].X();
+ fY0 = pPoints[nFirst ].Y();
+ fX3 = pPoints[nFirst+3].X();
+ fY3 = pPoints[nFirst+3].Y();
+
+ nPart1Length = CalcDistance(nFirst, nFirst+1);
+ nPart2Length = nPart1Length + CalcDistance(nFirst+1, nFirst+2);
+ nFullLength = nPart2Length + CalcDistance(nFirst+2, nFirst+3);
+ if ( nFullLength < 20 )
+ return;
+
+ if ( nPart2Length == nFullLength )
+ nPart2Length -= 1;
+ if ( nPart1Length == nFullLength )
+ nPart1Length = nPart2Length - 1;
+ if ( nPart1Length <= 0 )
+ nPart1Length = 1;
+ if ( nPart2Length <= 0 || nPart2Length == nPart1Length )
+ nPart2Length = nPart1Length + 1;
+
+ fT1 = nPart1Length / nFullLength;
+ fU1 = 1.0 - fT1;
+ fT2 = nPart2Length / nFullLength;
+ fU2 = 1.0 - fT2;
+ fV = 3 * (1.0 - (fT1 * fU2) / (fT2 * fU1));
+
+ fX1 = fTx1 / (fT1 * fU1 * fU1) - fTx2 * fT1 / (fT2 * fT2 * fU1 * fU2);
+ fX1 /= fV;
+ fX1 -= fX0 * ( fU1 / fT1 + fU2 / fT2) / 3;
+ fX1 += fX3 * ( fT1 * fT2 / (fU1 * fU2)) / 3;
+
+ fY1 = fTy1 / (fT1 * fU1 * fU1) - fTy2 * fT1 / (fT2 * fT2 * fU1 * fU2);
+ fY1 /= fV;
+ fY1 -= fY0 * ( fU1 / fT1 + fU2 / fT2) / 3;
+ fY1 += fY3 * ( fT1 * fT2 / (fU1 * fU2)) / 3;
+
+ fX2 = fTx2 / (fT2 * fT2 * fU2 * 3) - fX0 * fU2 * fU2 / ( fT2 * fT2 * 3);
+ fX2 -= fX1 * fU2 / fT2;
+ fX2 -= fX3 * fT2 / (fU2 * 3);
+
+ fY2 = fTy2 / (fT2 * fT2 * fU2 * 3) - fY0 * fU2 * fU2 / ( fT2 * fT2 * 3);
+ fY2 -= fY1 * fU2 / fT2;
+ fY2 -= fY3 * fT2 / (fU2 * 3);
+
+ pPoints[nFirst+1] = Point(static_cast<tools::Long>(fX1), static_cast<tools::Long>(fY1));
+ pPoints[nFirst+2] = Point(static_cast<tools::Long>(fX2), static_cast<tools::Long>(fY2));
+ SetFlags(nFirst+1, PolyFlags::Control);
+ SetFlags(nFirst+2, PolyFlags::Control);
+}
+
+/// scale in X- and/or Y-direction
+void XPolygon::Scale(double fSx, double fSy)
+{
+ std::as_const(pImpXPolygon)->CheckPointDelete();
+
+ sal_uInt16 nPntCnt = pImpXPolygon->nPoints;
+
+ for (sal_uInt16 i = 0; i < nPntCnt; i++)
+ {
+ Point& rPnt = pImpXPolygon->pPointAry[i];
+ rPnt.setX( static_cast<tools::Long>(fSx * rPnt.X()) );
+ rPnt.setY( static_cast<tools::Long>(fSy * rPnt.Y()) );
+ }
+}
+
+/**
+ * Distort a polygon by scaling its coordinates relative to a reference
+ * rectangle into an arbitrary rectangle.
+ *
+ * Mapping between polygon corners and reference rectangle:
+ * 0: top left 0----1
+ * 1: top right | |
+ * 2: bottom right 3----2
+ * 3: bottom left
+ */
+void XPolygon::Distort(const tools::Rectangle& rRefRect,
+ const XPolygon& rDistortedRect)
+{
+ std::as_const(pImpXPolygon)->CheckPointDelete();
+
+ tools::Long Xr, Wr;
+ tools::Long Yr, Hr;
+
+ Xr = rRefRect.Left();
+ Yr = rRefRect.Top();
+ Wr = rRefRect.GetWidth();
+ Hr = rRefRect.GetHeight();
+
+ if ( !Wr || !Hr )
+ return;
+
+ tools::Long X1, X2, X3, X4;
+ tools::Long Y1, Y2, Y3, Y4;
+ DBG_ASSERT(rDistortedRect.pImpXPolygon->nPoints >= 4,
+ "Distort: rectangle too small");
+
+ X1 = rDistortedRect[0].X();
+ Y1 = rDistortedRect[0].Y();
+ X2 = rDistortedRect[1].X();
+ Y2 = rDistortedRect[1].Y();
+ X3 = rDistortedRect[3].X();
+ Y3 = rDistortedRect[3].Y();
+ X4 = rDistortedRect[2].X();
+ Y4 = rDistortedRect[2].Y();
+
+ sal_uInt16 nPntCnt = pImpXPolygon->nPoints;
+
+ for (sal_uInt16 i = 0; i < nPntCnt; i++)
+ {
+ double fTx, fTy, fUx, fUy;
+ Point& rPnt = pImpXPolygon->pPointAry[i];
+
+ fTx = static_cast<double>(rPnt.X() - Xr) / Wr;
+ fTy = static_cast<double>(rPnt.Y() - Yr) / Hr;
+ fUx = 1.0 - fTx;
+ fUy = 1.0 - fTy;
+
+ rPnt.setX( static_cast<tools::Long>( fUy * (fUx * X1 + fTx * X2) +
+ fTy * (fUx * X3 + fTx * X4) ) );
+ rPnt.setY( static_cast<tools::Long>( fUx * (fUy * Y1 + fTy * Y3) +
+ fTx * (fUy * Y2 + fTy * Y4) ) );
+ }
+}
+
+basegfx::B2DPolygon XPolygon::getB2DPolygon() const
+{
+ // #i74631# use tools Polygon class for conversion to not have the code doubled
+ // here. This needs one more conversion but avoids different converters in
+ // the long run
+ const tools::Polygon aSource(GetPointCount(), pImpXPolygon->pPointAry.get(), pImpXPolygon->pFlagAry.get());
+
+ return aSource.getB2DPolygon();
+}
+
+XPolygon::XPolygon(const basegfx::B2DPolygon& rPolygon)
+ : pImpXPolygon( tools::Polygon( rPolygon ).GetSize() )
+{
+ // #i74631# use tools Polygon class for conversion to not have the code doubled
+ // here. This needs one more conversion but avoids different converters in
+ // the long run
+
+ const tools::Polygon aSource(rPolygon);
+ sal_uInt16 nSize = aSource.GetSize();
+ pImpXPolygon->nPoints = nSize;
+
+ for( sal_uInt16 i = 0; i < nSize; i++ )
+ {
+ pImpXPolygon->pPointAry[i] = aSource[i];
+ pImpXPolygon->pFlagAry[i] = aSource.GetFlags( i );
+ }
+}
+
+// XPolyPolygon
+XPolyPolygon::XPolyPolygon() = default;
+
+XPolyPolygon::XPolyPolygon( const XPolyPolygon& ) = default;
+
+XPolyPolygon::XPolyPolygon( XPolyPolygon&& ) = default;
+
+XPolyPolygon::XPolyPolygon(const basegfx::B2DPolyPolygon& rPolyPolygon)
+{
+ for(auto const& rCandidate : rPolyPolygon)
+ {
+ Insert(XPolygon(rCandidate));
+ }
+}
+
+XPolyPolygon::~XPolyPolygon() = default;
+
+void XPolyPolygon::Insert( XPolygon&& rXPoly )
+{
+ pImpXPolyPolygon->aXPolyList.emplace_back( std::move(rXPoly) );
+}
+
+/// insert all XPolygons of a XPolyPolygon
+void XPolyPolygon::Insert( const XPolyPolygon& rXPolyPoly )
+{
+ for ( size_t i = 0; i < rXPolyPoly.Count(); i++)
+ {
+ pImpXPolyPolygon->aXPolyList.emplace_back( rXPolyPoly[i] );
+ }
+}
+
+void XPolyPolygon::Remove( sal_uInt16 nPos )
+{
+ pImpXPolyPolygon->aXPolyList.erase( pImpXPolyPolygon->aXPolyList.begin() + nPos );
+}
+
+const XPolygon& XPolyPolygon::GetObject( sal_uInt16 nPos ) const
+{
+ return pImpXPolyPolygon->aXPolyList[ nPos ];
+}
+
+void XPolyPolygon::Clear()
+{
+ pImpXPolyPolygon->aXPolyList.clear();
+}
+
+sal_uInt16 XPolyPolygon::Count() const
+{
+ return static_cast<sal_uInt16>(pImpXPolyPolygon->aXPolyList.size());
+}
+
+tools::Rectangle XPolyPolygon::GetBoundRect() const
+{
+ size_t nXPoly = pImpXPolyPolygon->aXPolyList.size();
+ tools::Rectangle aRect;
+
+ for ( size_t n = 0; n < nXPoly; n++ )
+ {
+ XPolygon const & rXPoly = pImpXPolyPolygon->aXPolyList[ n ];
+ aRect.Union( rXPoly.GetBoundRect() );
+ }
+
+ return aRect;
+}
+
+XPolygon& XPolyPolygon::operator[]( sal_uInt16 nPos )
+{
+ return pImpXPolyPolygon->aXPolyList[ nPos ];
+}
+
+XPolyPolygon& XPolyPolygon::operator=( const XPolyPolygon& ) = default;
+
+XPolyPolygon& XPolyPolygon::operator=( XPolyPolygon&& ) = default;
+
+/**
+ * Distort a polygon by scaling its coordinates relative to a reference
+ * rectangle into an arbitrary rectangle.
+ *
+ * Mapping between polygon corners and reference rectangle:
+ * 0: top left 0----1
+ * 1: top right | |
+ * 2: bottom right 3----2
+ * 3: bottom left
+ */
+void XPolyPolygon::Distort(const tools::Rectangle& rRefRect,
+ const XPolygon& rDistortedRect)
+{
+ for (size_t i = 0; i < Count(); i++)
+ pImpXPolyPolygon->aXPolyList[ i ].Distort(rRefRect, rDistortedRect);
+}
+
+basegfx::B2DPolyPolygon XPolyPolygon::getB2DPolyPolygon() const
+{
+ basegfx::B2DPolyPolygon aRetval;
+
+ for(sal_uInt16 a(0); a < Count(); a++)
+ {
+ const XPolygon& rPoly = (*this)[a];
+ aRetval.append(rPoly.getB2DPolygon());
+ }
+
+ return aRetval;
+}
+
+/* vim:set shiftwidth=4 softtabstop=4 expandtab: */