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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 * * for a copy of the LGPLv3 License. * ************************************************************************/ #include #include #include /////////////////////////////////////////////////////////////////////////////// namespace basegfx { 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_FAIL( "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 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 /* vim:set shiftwidth=4 softtabstop=4 expandtab: */