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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/matrix/b2dhommatrixtools.hxx>
+#include <rtl/ustring.hxx>
+#include <rtl/ustrbuf.hxx>
+
+///////////////////////////////////////////////////////////////////////////////
+
+namespace basegfx
+{
+ ::rtl::OUString exportToSvg( const B2DHomMatrix& rMatrix )
+ {
+ rtl::OUStringBuffer aStrBuf;
+ aStrBuf.appendAscii("matrix(");
+
+ aStrBuf.append(rMatrix.get(0,0));
+ aStrBuf.appendAscii(", ");
+
+ aStrBuf.append(rMatrix.get(1,0));
+ aStrBuf.appendAscii(", ");
+
+ aStrBuf.append(rMatrix.get(0,1));
+ aStrBuf.appendAscii(", ");
+
+ aStrBuf.append(rMatrix.get(1,1));
+ aStrBuf.appendAscii(", ");
+
+ aStrBuf.append(rMatrix.get(0,2));
+ aStrBuf.appendAscii(", ");
+
+ aStrBuf.append(rMatrix.get(1,2));
+ aStrBuf.appendAscii(")");
+
+ return aStrBuf.makeStringAndClear();
+ }
+
+ namespace tools
+ {
+ void createSinCosOrthogonal(double& o_rSin, double& o_rCos, double fRadiant)
+ {
+ if( fTools::equalZero( fmod( fRadiant, F_PI2 ) ) )
+ {
+ // determine quadrant
+ const sal_Int32 nQuad(
+ (4 + fround( 4/F_2PI*fmod( fRadiant, F_2PI ) )) % 4 );
+ switch( nQuad )
+ {
+ case 0: // -2pi,0,2pi
+ o_rSin = 0.0;
+ o_rCos = 1.0;
+ break;
+
+ case 1: // -3/2pi,1/2pi
+ o_rSin = 1.0;
+ o_rCos = 0.0;
+ break;
+
+ case 2: // -pi,pi
+ o_rSin = 0.0;
+ o_rCos = -1.0;
+ break;
+
+ case 3: // -1/2pi,3/2pi
+ o_rSin = -1.0;
+ o_rCos = 0.0;
+ break;
+
+ default:
+ OSL_ENSURE( false, "createSinCos: Impossible case reached" );
+ }
+ }
+ else
+ {
+ // TODO(P1): Maybe use glibc's sincos here (though
+ // that's kinda non-portable...)
+ o_rSin = sin(fRadiant);
+ o_rCos = cos(fRadiant);
+ }
+ }
+
+ B2DHomMatrix createScaleB2DHomMatrix(double fScaleX, double fScaleY)
+ {
+ B2DHomMatrix aRetval;
+ const double fOne(1.0);
+
+ if(!fTools::equal(fScaleX, fOne))
+ {
+ aRetval.set(0, 0, fScaleX);
+ }
+
+ if(!fTools::equal(fScaleY, fOne))
+ {
+ aRetval.set(1, 1, fScaleY);
+ }
+
+ return aRetval;
+ }
+
+ B2DHomMatrix createShearXB2DHomMatrix(double fShearX)
+ {
+ B2DHomMatrix aRetval;
+
+ if(!fTools::equalZero(fShearX))
+ {
+ aRetval.set(0, 1, fShearX);
+ }
+
+ return aRetval;
+ }
+
+ B2DHomMatrix createShearYB2DHomMatrix(double fShearY)
+ {
+ B2DHomMatrix aRetval;
+
+ if(!fTools::equalZero(fShearY))
+ {
+ aRetval.set(1, 0, fShearY);
+ }
+
+ return aRetval;
+ }
+
+ B2DHomMatrix createRotateB2DHomMatrix(double fRadiant)
+ {
+ B2DHomMatrix aRetval;
+
+ if(!fTools::equalZero(fRadiant))
+ {
+ double fSin(0.0);
+ double fCos(1.0);
+
+ createSinCosOrthogonal(fSin, fCos, fRadiant);
+ aRetval.set(0, 0, fCos);
+ aRetval.set(1, 1, fCos);
+ aRetval.set(1, 0, fSin);
+ aRetval.set(0, 1, -fSin);
+ }
+
+ return aRetval;
+ }
+
+ B2DHomMatrix createTranslateB2DHomMatrix(double fTranslateX, double fTranslateY)
+ {
+ B2DHomMatrix aRetval;
+
+ if(!(fTools::equalZero(fTranslateX) && fTools::equalZero(fTranslateY)))
+ {
+ aRetval.set(0, 2, fTranslateX);
+ aRetval.set(1, 2, fTranslateY);
+ }
+
+ return aRetval;
+ }
+
+ B2DHomMatrix createScaleShearXRotateTranslateB2DHomMatrix(
+ double fScaleX, double fScaleY,
+ double fShearX,
+ double fRadiant,
+ double fTranslateX, double fTranslateY)
+ {
+ const double fOne(1.0);
+
+ if(fTools::equal(fScaleX, fOne) && fTools::equal(fScaleY, fOne))
+ {
+ /// no scale, take shortcut
+ return createShearXRotateTranslateB2DHomMatrix(fShearX, fRadiant, fTranslateX, fTranslateY);
+ }
+ else
+ {
+ /// scale used
+ if(fTools::equalZero(fShearX))
+ {
+ /// no shear
+ if(fTools::equalZero(fRadiant))
+ {
+ /// no rotate, take shortcut
+ return createScaleTranslateB2DHomMatrix(fScaleX, fScaleY, fTranslateX, fTranslateY);
+ }
+ else
+ {
+ /// rotate and scale used, no shear
+ double fSin(0.0);
+ double fCos(1.0);
+
+ createSinCosOrthogonal(fSin, fCos, fRadiant);
+
+ B2DHomMatrix aRetval(
+ /* Row 0, Column 0 */ fCos * fScaleX,
+ /* Row 0, Column 1 */ fScaleY * -fSin,
+ /* Row 0, Column 2 */ fTranslateX,
+ /* Row 1, Column 0 */ fSin * fScaleX,
+ /* Row 1, Column 1 */ fScaleY * fCos,
+ /* Row 1, Column 2 */ fTranslateY);
+
+ return aRetval;
+ }
+ }
+ else
+ {
+ /// scale and shear used
+ if(fTools::equalZero(fRadiant))
+ {
+ /// scale and shear, but no rotate
+ B2DHomMatrix aRetval(
+ /* Row 0, Column 0 */ fScaleX,
+ /* Row 0, Column 1 */ fScaleY * fShearX,
+ /* Row 0, Column 2 */ fTranslateX,
+ /* Row 1, Column 0 */ 0.0,
+ /* Row 1, Column 1 */ fScaleY,
+ /* Row 1, Column 2 */ fTranslateY);
+
+ return aRetval;
+ }
+ else
+ {
+ /// scale, shear and rotate used
+ double fSin(0.0);
+ double fCos(1.0);
+
+ createSinCosOrthogonal(fSin, fCos, fRadiant);
+
+ B2DHomMatrix aRetval(
+ /* Row 0, Column 0 */ fCos * fScaleX,
+ /* Row 0, Column 1 */ fScaleY * ((fCos * fShearX) - fSin),
+ /* Row 0, Column 2 */ fTranslateX,
+ /* Row 1, Column 0 */ fSin * fScaleX,
+ /* Row 1, Column 1 */ fScaleY * ((fSin * fShearX) + fCos),
+ /* Row 1, Column 2 */ fTranslateY);
+
+ return aRetval;
+ }
+ }
+ }
+ }
+
+ B2DHomMatrix createShearXRotateTranslateB2DHomMatrix(
+ double fShearX,
+ double fRadiant,
+ double fTranslateX, double fTranslateY)
+ {
+ if(fTools::equalZero(fShearX))
+ {
+ /// no shear
+ if(fTools::equalZero(fRadiant))
+ {
+ /// no shear, no rotate, take shortcut
+ return createTranslateB2DHomMatrix(fTranslateX, fTranslateY);
+ }
+ else
+ {
+ /// no shear, but rotate used
+ double fSin(0.0);
+ double fCos(1.0);
+
+ createSinCosOrthogonal(fSin, fCos, fRadiant);
+
+ B2DHomMatrix aRetval(
+ /* Row 0, Column 0 */ fCos,
+ /* Row 0, Column 1 */ -fSin,
+ /* Row 0, Column 2 */ fTranslateX,
+ /* Row 1, Column 0 */ fSin,
+ /* Row 1, Column 1 */ fCos,
+ /* Row 1, Column 2 */ fTranslateY);
+
+ return aRetval;
+ }
+ }
+ else
+ {
+ /// shear used
+ if(fTools::equalZero(fRadiant))
+ {
+ /// no rotate, but shear used
+ B2DHomMatrix aRetval(
+ /* Row 0, Column 0 */ 1.0,
+ /* Row 0, Column 1 */ fShearX,
+ /* Row 0, Column 2 */ fTranslateX,
+ /* Row 1, Column 0 */ 0.0,
+ /* Row 1, Column 1 */ 1.0,
+ /* Row 1, Column 2 */ fTranslateY);
+
+ return aRetval;
+ }
+ else
+ {
+ /// shear and rotate used
+ double fSin(0.0);
+ double fCos(1.0);
+
+ createSinCosOrthogonal(fSin, fCos, fRadiant);
+
+ B2DHomMatrix aRetval(
+ /* Row 0, Column 0 */ fCos,
+ /* Row 0, Column 1 */ (fCos * fShearX) - fSin,
+ /* Row 0, Column 2 */ fTranslateX,
+ /* Row 1, Column 0 */ fSin,
+ /* Row 1, Column 1 */ (fSin * fShearX) + fCos,
+ /* Row 1, Column 2 */ fTranslateY);
+
+ return aRetval;
+ }
+ }
+ }
+
+ B2DHomMatrix createScaleTranslateB2DHomMatrix(
+ double fScaleX, double fScaleY,
+ double fTranslateX, double fTranslateY)
+ {
+ const double fOne(1.0);
+
+ if(fTools::equal(fScaleX, fOne) && fTools::equal(fScaleY, fOne))
+ {
+ /// no scale, take shortcut
+ return createTranslateB2DHomMatrix(fTranslateX, fTranslateY);
+ }
+ else
+ {
+ /// scale used
+ if(fTools::equalZero(fTranslateX) && fTools::equalZero(fTranslateY))
+ {
+ /// no translate, but scale.
+ B2DHomMatrix aRetval;
+
+ aRetval.set(0, 0, fScaleX);
+ aRetval.set(1, 1, fScaleY);
+
+ return aRetval;
+ }
+ else
+ {
+ /// translate and scale
+ B2DHomMatrix aRetval(
+ /* Row 0, Column 0 */ fScaleX,
+ /* Row 0, Column 1 */ 0.0,
+ /* Row 0, Column 2 */ fTranslateX,
+ /* Row 1, Column 0 */ 0.0,
+ /* Row 1, Column 1 */ fScaleY,
+ /* Row 1, Column 2 */ fTranslateY);
+
+ return aRetval;
+ }
+ }
+ }
+
+ B2DHomMatrix createRotateAroundPoint(
+ double fPointX, double fPointY,
+ double fRadiant)
+ {
+ B2DHomMatrix aRetval;
+
+ if(!fTools::equalZero(fRadiant))
+ {
+ double fSin(0.0);
+ double fCos(1.0);
+
+ createSinCosOrthogonal(fSin, fCos, fRadiant);
+
+ aRetval.set3x2(
+ /* Row 0, Column 0 */ fCos,
+ /* Row 0, Column 1 */ -fSin,
+ /* Row 0, Column 2 */ (fPointX * (1.0 - fCos)) + (fSin * fPointY),
+ /* Row 1, Column 0 */ fSin,
+ /* Row 1, Column 1 */ fCos,
+ /* Row 1, Column 2 */ (fPointY * (1.0 - fCos)) - (fSin * fPointX));
+ }
+
+ return aRetval;
+ }
+ } // end of namespace tools
+} // end of namespace basegfx
+
+///////////////////////////////////////////////////////////////////////////////
+// eof