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/**************************************************************
*
* 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
*
* Unless required by applicable law or agreed to in writing,
* software distributed under the License is distributed on an
* "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
* KIND, either express or implied. See the License for the
* specific language governing permissions and limitations
* under the 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>
#include <stringconversiontools.hxx>
///////////////////////////////////////////////////////////////////////////////
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_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 createScaleRotateTranslateB2DHomMatrix(
double fScaleX, double fScaleY,
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 createRotateTranslateB2DHomMatrix(fRadiant, fTranslateX, fTranslateY);
}
else
{
/// scale used
if(fTools::equalZero(fRadiant))
{
/// no rotate, take shortcut
return createScaleTranslateB2DHomMatrix(fScaleX, fScaleY, fTranslateX, fTranslateY);
}
else
{
/// rotate and scale 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 * -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;
}
}
}
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 createRotateTranslateB2DHomMatrix(
double fRadiant,
double fTranslateX, double fTranslateY)
{
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;
}
}
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;
}
/// special for the case to map from source range to target range
B2DHomMatrix createSourceRangeTargetRangeTransform(
const B2DRange& rSourceRange,
const B2DRange& rTargetRange)
{
B2DHomMatrix aRetval;
if(&rSourceRange == &rTargetRange)
{
return aRetval;
}
if(!fTools::equalZero(rSourceRange.getMinX()) || !fTools::equalZero(rSourceRange.getMinY()))
{
aRetval.set(0, 2, -rSourceRange.getMinX());
aRetval.set(1, 2, -rSourceRange.getMinY());
}
const double fSourceW(rSourceRange.getWidth());
const double fSourceH(rSourceRange.getHeight());
const bool bDivX(!fTools::equalZero(fSourceW) && !fTools::equal(fSourceW, 1.0));
const bool bDivY(!fTools::equalZero(fSourceH) && !fTools::equal(fSourceH, 1.0));
const double fScaleX(bDivX ? rTargetRange.getWidth() / fSourceW : rTargetRange.getWidth());
const double fScaleY(bDivY ? rTargetRange.getHeight() / fSourceH : rTargetRange.getHeight());
if(!fTools::equalZero(fScaleX) || !fTools::equalZero(fScaleY))
{
aRetval.scale(fScaleX, fScaleY);
}
if(!fTools::equalZero(rTargetRange.getMinX()) || !fTools::equalZero(rTargetRange.getMinY()))
{
aRetval.translate(
rTargetRange.getMinX(),
rTargetRange.getMinY());
}
return aRetval;
}
/* tooling methods for converting API matrices (drawing::HomogenMatrix3)
to B2DHomMatrix
*/
B2DHomMatrix UnoHomogenMatrix3ToB2DHomMatrix(
const com::sun::star::drawing::HomogenMatrix3 rMatrixIn)
{
B2DHomMatrix aRetval;
aRetval.set(0, 0, rMatrixIn.Line1.Column1);
aRetval.set(0, 1, rMatrixIn.Line1.Column2);
aRetval.set(0, 2, rMatrixIn.Line1.Column3);
aRetval.set(1, 0, rMatrixIn.Line2.Column1);
aRetval.set(1, 1, rMatrixIn.Line2.Column2);
aRetval.set(1, 2, rMatrixIn.Line2.Column3);
aRetval.set(2, 0, rMatrixIn.Line3.Column1);
aRetval.set(2, 1, rMatrixIn.Line3.Column2);
aRetval.set(2, 2, rMatrixIn.Line3.Column3);
return aRetval;
}
void B2DHomMatrixToUnoHomogenMatrix3(
const B2DHomMatrix& rMatrixIn,
com::sun::star::drawing::HomogenMatrix3& rMatrixOut)
{
rMatrixOut.Line1.Column1 = rMatrixIn.get(0, 0);
rMatrixOut.Line1.Column2 = rMatrixIn.get(0, 1);
rMatrixOut.Line1.Column3 = rMatrixIn.get(0, 2);
rMatrixOut.Line2.Column1 = rMatrixIn.get(1, 0);
rMatrixOut.Line2.Column2 = rMatrixIn.get(1, 1);
rMatrixOut.Line2.Column3 = rMatrixIn.get(1, 2);
rMatrixOut.Line3.Column1 = rMatrixIn.get(2, 0);
rMatrixOut.Line3.Column2 = rMatrixIn.get(2, 1);
rMatrixOut.Line3.Column3 = rMatrixIn.get(2, 2);
}
} // end of namespace tools
} // end of namespace basegfx
///////////////////////////////////////////////////////////////////////////////
namespace basegfx
{
namespace tools
{
void B2DHomMatrixBufferedOnDemandDecompose::impDecompose()
{
maB2DHomMatrix.decompose(maScale, maTranslate, mfRotate, mfShearX);
if(maScale.getX() < 0.0 && maScale.getY() < 0.0)
{
// mirrored in X and Y, same as rotated by 180 degrees; prefer rotation
maScale.setX(-maScale.getX());
maScale.setY(-maScale.getY());
mfRotate = fmod(mfRotate + F_PI, F_2PI);
}
mbDecomposed = true;
}
} // end of namespace tools
} // end of namespace basegfx
///////////////////////////////////////////////////////////////////////////////
// eof
|
