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-rw-r--r--basegfx/source/matrix/b2dhommatrix.cxx429
-rw-r--r--basegfx/source/matrix/b2dhommatrixtools.cxx457
-rw-r--r--basegfx/source/matrix/b3dhommatrix.cxx546
-rw-r--r--basegfx/source/matrix/b3dhommatrixtools.cxx71
4 files changed, 1503 insertions, 0 deletions
diff --git a/basegfx/source/matrix/b2dhommatrix.cxx b/basegfx/source/matrix/b2dhommatrix.cxx
new file mode 100644
index 000000000..f3d2622db
--- /dev/null
+++ b/basegfx/source/matrix/b2dhommatrix.cxx
@@ -0,0 +1,429 @@
+/* -*- 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 <basegfx/matrix/b2dhommatrix.hxx>
+#include <hommatrixtemplate.hxx>
+#include <basegfx/tuple/b2dtuple.hxx>
+#include <basegfx/vector/b2dvector.hxx>
+#include <basegfx/matrix/b2dhommatrixtools.hxx>
+#include <memory>
+
+namespace basegfx
+{
+ typedef ::basegfx::internal::ImplHomMatrixTemplate< 3 > Impl2DHomMatrix_Base;
+ class Impl2DHomMatrix : public Impl2DHomMatrix_Base
+ {
+ };
+
+ static o3tl::cow_wrapper<Impl2DHomMatrix> DEFAULT;
+
+ B2DHomMatrix::B2DHomMatrix() : mpImpl(DEFAULT) {}
+
+ B2DHomMatrix::B2DHomMatrix(const B2DHomMatrix&) = default;
+
+ B2DHomMatrix::B2DHomMatrix(B2DHomMatrix&&) = default;
+
+ B2DHomMatrix::~B2DHomMatrix() = default;
+
+ B2DHomMatrix::B2DHomMatrix(double f_0x0, double f_0x1, double f_0x2, double f_1x0, double f_1x1, double f_1x2)
+ {
+ mpImpl->set(0, 0, f_0x0);
+ mpImpl->set(0, 1, f_0x1);
+ mpImpl->set(0, 2, f_0x2);
+ mpImpl->set(1, 0, f_1x0);
+ mpImpl->set(1, 1, f_1x1);
+ mpImpl->set(1, 2, f_1x2);
+ }
+
+ B2DHomMatrix& B2DHomMatrix::operator=(const B2DHomMatrix&) = default;
+
+ B2DHomMatrix& B2DHomMatrix::operator=(B2DHomMatrix&&) = default;
+
+ double B2DHomMatrix::get(sal_uInt16 nRow, sal_uInt16 nColumn) const
+ {
+ return mpImpl->get(nRow, nColumn);
+ }
+
+ void B2DHomMatrix::set(sal_uInt16 nRow, sal_uInt16 nColumn, double fValue)
+ {
+ mpImpl->set(nRow, nColumn, fValue);
+ }
+
+ void B2DHomMatrix::set3x2(double f_0x0, double f_0x1, double f_0x2, double f_1x0, double f_1x1, double f_1x2)
+ {
+ mpImpl->set(0, 0, f_0x0);
+ mpImpl->set(0, 1, f_0x1);
+ mpImpl->set(0, 2, f_0x2);
+ mpImpl->set(1, 0, f_1x0);
+ mpImpl->set(1, 1, f_1x1);
+ mpImpl->set(1, 2, f_1x2);
+ }
+
+ bool B2DHomMatrix::isLastLineDefault() const
+ {
+ return mpImpl->isLastLineDefault();
+ }
+
+ bool B2DHomMatrix::isIdentity() const
+ {
+ return mpImpl->isIdentity();
+ }
+
+ void B2DHomMatrix::identity()
+ {
+ *mpImpl = Impl2DHomMatrix();
+ }
+
+ bool B2DHomMatrix::isInvertible() const
+ {
+ return mpImpl->isInvertible();
+ }
+
+ bool B2DHomMatrix::invert()
+ {
+ if(isIdentity())
+ {
+ return true;
+ }
+
+ Impl2DHomMatrix aWork(*mpImpl);
+ std::unique_ptr<sal_uInt16[]> pIndex( new sal_uInt16[Impl2DHomMatrix_Base::getEdgeLength()] );
+ sal_Int16 nParity;
+
+ if(aWork.ludcmp(pIndex.get(), nParity))
+ {
+ mpImpl->doInvert(aWork, pIndex.get());
+ return true;
+ }
+
+ return false;
+ }
+
+ B2DHomMatrix& B2DHomMatrix::operator+=(const B2DHomMatrix& rMat)
+ {
+ mpImpl->doAddMatrix(*rMat.mpImpl);
+ return *this;
+ }
+
+ B2DHomMatrix& B2DHomMatrix::operator-=(const B2DHomMatrix& rMat)
+ {
+ mpImpl->doSubMatrix(*rMat.mpImpl);
+ return *this;
+ }
+
+ B2DHomMatrix& B2DHomMatrix::operator*=(double fValue)
+ {
+ const double fOne(1.0);
+
+ if(!fTools::equal(fOne, fValue))
+ mpImpl->doMulMatrix(fValue);
+
+ return *this;
+ }
+
+ B2DHomMatrix& B2DHomMatrix::operator/=(double fValue)
+ {
+ const double fOne(1.0);
+
+ if(!fTools::equal(fOne, fValue))
+ mpImpl->doMulMatrix(1.0 / fValue);
+
+ return *this;
+ }
+
+ B2DHomMatrix& B2DHomMatrix::operator*=(const B2DHomMatrix& rMat)
+ {
+ if(rMat.isIdentity())
+ {
+ // multiply with identity, no change -> nothing to do
+ }
+ else if(isIdentity())
+ {
+ // we are identity, result will be rMat -> assign
+ *this = rMat;
+ }
+ else
+ {
+ // multiply
+ mpImpl->doMulMatrix(*rMat.mpImpl);
+ }
+
+ return *this;
+ }
+
+ bool B2DHomMatrix::operator==(const B2DHomMatrix& rMat) const
+ {
+ if(mpImpl.same_object(rMat.mpImpl))
+ return true;
+
+ return mpImpl->isEqual(*rMat.mpImpl);
+ }
+
+ bool B2DHomMatrix::operator!=(const B2DHomMatrix& rMat) const
+ {
+ return !(*this == rMat);
+ }
+
+ void B2DHomMatrix::rotate(double fRadiant)
+ {
+ if(fTools::equalZero(fRadiant))
+ return;
+
+ double fSin(0.0);
+ double fCos(1.0);
+
+ utils::createSinCosOrthogonal(fSin, fCos, fRadiant);
+ Impl2DHomMatrix aRotMat;
+
+ aRotMat.set(0, 0, fCos);
+ aRotMat.set(1, 1, fCos);
+ aRotMat.set(1, 0, fSin);
+ aRotMat.set(0, 1, -fSin);
+
+ mpImpl->doMulMatrix(aRotMat);
+ }
+
+ void B2DHomMatrix::translate(double fX, double fY)
+ {
+ if(!fTools::equalZero(fX) || !fTools::equalZero(fY))
+ {
+ Impl2DHomMatrix aTransMat;
+
+ aTransMat.set(0, 2, fX);
+ aTransMat.set(1, 2, fY);
+
+ mpImpl->doMulMatrix(aTransMat);
+ }
+ }
+
+ void B2DHomMatrix::translate(const B2DTuple& rTuple)
+ {
+ translate(rTuple.getX(), rTuple.getY());
+ }
+
+ void B2DHomMatrix::scale(double fX, double fY)
+ {
+ const double fOne(1.0);
+
+ if(!fTools::equal(fOne, fX) || !fTools::equal(fOne, fY))
+ {
+ Impl2DHomMatrix aScaleMat;
+
+ aScaleMat.set(0, 0, fX);
+ aScaleMat.set(1, 1, fY);
+
+ mpImpl->doMulMatrix(aScaleMat);
+ }
+ }
+
+ void B2DHomMatrix::scale(const B2DTuple& rTuple)
+ {
+ scale(rTuple.getX(), rTuple.getY());
+ }
+
+ void B2DHomMatrix::shearX(double fSx)
+ {
+ // #i76239# do not test against 1.0, but against 0.0. We are talking about a value not on the diagonal (!)
+ if(!fTools::equalZero(fSx))
+ {
+ Impl2DHomMatrix aShearXMat;
+
+ aShearXMat.set(0, 1, fSx);
+
+ mpImpl->doMulMatrix(aShearXMat);
+ }
+ }
+
+ void B2DHomMatrix::shearY(double fSy)
+ {
+ // #i76239# do not test against 1.0, but against 0.0. We are talking about a value not on the diagonal (!)
+ if(!fTools::equalZero(fSy))
+ {
+ Impl2DHomMatrix aShearYMat;
+
+ aShearYMat.set(1, 0, fSy);
+
+ mpImpl->doMulMatrix(aShearYMat);
+ }
+ }
+
+ /** Decomposition
+
+ New, optimized version with local shearX detection. Old version (keeping
+ below, is working well, too) used the 3D matrix decomposition when
+ shear was used. Keeping old version as comment below since it may get
+ necessary to add the determinant() test from there here, too.
+ */
+ bool B2DHomMatrix::decompose(B2DTuple& rScale, B2DTuple& rTranslate, double& rRotate, double& rShearX) const
+ {
+ // when perspective is used, decompose is not made here
+ if(!mpImpl->isLastLineDefault())
+ {
+ return false;
+ }
+
+ // reset rotate and shear and copy translation values in every case
+ rRotate = rShearX = 0.0;
+ rTranslate.setX(get(0, 2));
+ rTranslate.setY(get(1, 2));
+
+ // test for rotation and shear
+ if(fTools::equalZero(get(0, 1)) && fTools::equalZero(get(1, 0)))
+ {
+ // no rotation and shear, copy scale values
+ rScale.setX(get(0, 0));
+ rScale.setY(get(1, 1));
+
+ // or is there?
+ if( rScale.getX() < 0 && rScale.getY() < 0 )
+ {
+ // there is - 180 degree rotated
+ rScale *= -1;
+ rRotate = M_PI;
+ }
+ }
+ else
+ {
+ // get the unit vectors of the transformation -> the perpendicular vectors
+ B2DVector aUnitVecX(get(0, 0), get(1, 0));
+ B2DVector aUnitVecY(get(0, 1), get(1, 1));
+ const double fScalarXY(aUnitVecX.scalar(aUnitVecY));
+
+ // Test if shear is zero. That's the case if the unit vectors in the matrix
+ // are perpendicular -> scalar is zero. This is also the case when one of
+ // the unit vectors is zero.
+ if(fTools::equalZero(fScalarXY))
+ {
+ // calculate unsigned scale values
+ rScale.setX(aUnitVecX.getLength());
+ rScale.setY(aUnitVecY.getLength());
+
+ // check unit vectors for zero lengths
+ const bool bXIsZero(fTools::equalZero(rScale.getX()));
+ const bool bYIsZero(fTools::equalZero(rScale.getY()));
+
+ if(bXIsZero || bYIsZero)
+ {
+ // still extract as much as possible. Scalings are already set
+ if(!bXIsZero)
+ {
+ // get rotation of X-Axis
+ rRotate = atan2(aUnitVecX.getY(), aUnitVecX.getX());
+ }
+ else if(!bYIsZero)
+ {
+ // get rotation of X-Axis. When assuming X and Y perpendicular
+ // and correct rotation, it's the Y-Axis rotation minus 90 degrees
+ rRotate = atan2(aUnitVecY.getY(), aUnitVecY.getX()) - M_PI_2;
+ }
+
+ // one or both unit vectors do not exist, determinant is zero, no decomposition possible.
+ // Eventually used rotations or shears are lost
+ return false;
+ }
+ else
+ {
+ // no shear
+ // calculate rotation of X unit vector relative to (1, 0)
+ rRotate = atan2(aUnitVecX.getY(), aUnitVecX.getX());
+
+ // use orientation to evtl. correct sign of Y-Scale
+ const double fCrossXY(aUnitVecX.cross(aUnitVecY));
+
+ if(fCrossXY < 0.0)
+ {
+ rScale.setY(-rScale.getY());
+ }
+ }
+ }
+ else
+ {
+ // fScalarXY is not zero, thus both unit vectors exist. No need to handle that here
+ // shear, extract it
+ double fCrossXY(aUnitVecX.cross(aUnitVecY));
+
+ // get rotation by calculating angle of X unit vector relative to (1, 0).
+ // This is before the parallel test following the motto to extract
+ // as much as possible
+ rRotate = atan2(aUnitVecX.getY(), aUnitVecX.getX());
+
+ // get unsigned scale value for X. It will not change and is useful
+ // for further corrections
+ rScale.setX(aUnitVecX.getLength());
+
+ if(fTools::equalZero(fCrossXY))
+ {
+ // extract as much as possible
+ rScale.setY(aUnitVecY.getLength());
+
+ // unit vectors are parallel, thus not linear independent. No
+ // useful decomposition possible. This should not happen since
+ // the only way to get the unit vectors nearly parallel is
+ // a very big shearing. Anyways, be prepared for hand-filled
+ // matrices
+ // Eventually used rotations or shears are lost
+ return false;
+ }
+ else
+ {
+ // calculate the contained shear
+ rShearX = fScalarXY / fCrossXY;
+
+ if(!fTools::equalZero(rRotate))
+ {
+ // To be able to correct the shear for aUnitVecY, rotation needs to be
+ // removed first. Correction of aUnitVecX is easy, it will be rotated back to (1, 0).
+ aUnitVecX.setX(rScale.getX());
+ aUnitVecX.setY(0.0);
+
+ // for Y correction we rotate the UnitVecY back about -rRotate
+ const double fNegRotate(-rRotate);
+ const double fSin(sin(fNegRotate));
+ const double fCos(cos(fNegRotate));
+
+ const double fNewX(aUnitVecY.getX() * fCos - aUnitVecY.getY() * fSin);
+ const double fNewY(aUnitVecY.getX() * fSin + aUnitVecY.getY() * fCos);
+
+ aUnitVecY.setX(fNewX);
+ aUnitVecY.setY(fNewY);
+ }
+
+ // Correct aUnitVecY and fCrossXY to fShear=0. Rotation is already removed.
+ // Shear correction can only work with removed rotation
+ aUnitVecY.setX(aUnitVecY.getX() - (aUnitVecY.getY() * rShearX));
+ fCrossXY = aUnitVecX.cross(aUnitVecY);
+
+ // calculate unsigned scale value for Y, after the corrections since
+ // the shear correction WILL change the length of aUnitVecY
+ rScale.setY(aUnitVecY.getLength());
+
+ // use orientation to set sign of Y-Scale
+ if(fCrossXY < 0.0)
+ {
+ rScale.setY(-rScale.getY());
+ }
+ }
+ }
+ }
+
+ return true;
+ }
+} // end of namespace basegfx
+
+/* vim:set shiftwidth=4 softtabstop=4 expandtab: */
diff --git a/basegfx/source/matrix/b2dhommatrixtools.cxx b/basegfx/source/matrix/b2dhommatrixtools.cxx
new file mode 100644
index 000000000..7fb6bbe0c
--- /dev/null
+++ b/basegfx/source/matrix/b2dhommatrixtools.cxx
@@ -0,0 +1,457 @@
+/* -*- 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 <basegfx/matrix/b2dhommatrixtools.hxx>
+#include <basegfx/range/b2drange.hxx>
+
+#include <osl/diagnose.h>
+
+namespace basegfx::utils
+{
+ void createSinCosOrthogonal(double& o_rSin, double& o_rCos, double fRadiant)
+ {
+ if( fTools::equalZero( fmod( fRadiant, M_PI_2 ) ) )
+ {
+ // determine quadrant
+ const sal_Int32 nQuad(
+ (4 + fround( M_2_PI*fmod( fRadiant, 2 * M_PI ) )) % 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 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;
+ }
+
+ B2DHomMatrix createRotateAroundCenterKeepAspectRatioStayInsideRange(
+ const basegfx::B2DRange& rTargetRange,
+ double fRotate)
+ {
+ basegfx::B2DHomMatrix aRetval;
+
+ // RotGrfFlyFrame: Create a transformation that maps the range inside of itself
+ // so that it fits, takes as much space as possible and keeps the aspect ratio
+ if(0.0 != fRotate)
+ {
+ // Fit rotated graphic to center of available space, keeping page ratio:
+ // Adapt scaling ratio of unit object and rotate it
+ aRetval.scale(1.0, rTargetRange.getHeight() / rTargetRange.getWidth());
+ aRetval.rotate(fRotate);
+
+ // get the range to see where we are in unit coordinates
+ basegfx::B2DRange aFullRange(0.0, 0.0, 1.0, 1.0);
+ aFullRange.transform(aRetval);
+
+ // detect needed scales in X/Y and choose the smallest for staying inside the
+ // available space while keeping aspect ratio of the source
+ const double fScaleX(rTargetRange.getWidth() / aFullRange.getWidth());
+ const double fScaleY(rTargetRange.getHeight() / aFullRange.getHeight());
+ const double fScaleMin(std::min(fScaleX, fScaleY));
+
+ // TopLeft to zero, then scale, then move to center of available space
+ aRetval.translate(-aFullRange.getMinX(), -aFullRange.getMinY());
+ aRetval.scale(fScaleMin, fScaleMin);
+ aRetval.translate(
+ rTargetRange.getCenterX() - (0.5 * fScaleMin * aFullRange.getWidth()),
+ rTargetRange.getCenterY() - (0.5 * fScaleMin * aFullRange.getHeight()));
+ }
+ else
+ {
+ // just scale/translate needed
+ aRetval *= createScaleTranslateB2DHomMatrix(
+ rTargetRange.getRange(),
+ rTargetRange.getMinimum());
+ }
+
+ 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;
+ }
+
+ B2DHomMatrix createCoordinateSystemTransform(
+ const B2DPoint& rOrigin,
+ const B2DVector& rX,
+ const B2DVector& rY)
+ {
+ return basegfx::B2DHomMatrix(
+ rX.getX(), rY.getX(), rOrigin.getX(),
+ rX.getY(), rY.getY(), rOrigin.getY());
+ }
+
+ B2DTuple getColumn(const B2DHomMatrix& rMatrix, sal_uInt16 nCol)
+ {
+ return B2DTuple(rMatrix.get(0, nCol), rMatrix.get(1, nCol));
+ }
+} // end of namespace
+
+/* vim:set shiftwidth=4 softtabstop=4 expandtab: */
diff --git a/basegfx/source/matrix/b3dhommatrix.cxx b/basegfx/source/matrix/b3dhommatrix.cxx
new file mode 100644
index 000000000..3605767d6
--- /dev/null
+++ b/basegfx/source/matrix/b3dhommatrix.cxx
@@ -0,0 +1,546 @@
+/* -*- 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 <basegfx/matrix/b3dhommatrix.hxx>
+#include <hommatrixtemplate.hxx>
+#include <basegfx/vector/b3dvector.hxx>
+#include <memory>
+
+namespace basegfx
+{
+ typedef ::basegfx::internal::ImplHomMatrixTemplate< 4 >Impl3DHomMatrix_Base;
+ class Impl3DHomMatrix : public Impl3DHomMatrix_Base
+ {
+ };
+
+ B3DHomMatrix::B3DHomMatrix() = default;
+
+ B3DHomMatrix::B3DHomMatrix(const B3DHomMatrix&) = default;
+
+ B3DHomMatrix::B3DHomMatrix(B3DHomMatrix&&) = default;
+
+ B3DHomMatrix::~B3DHomMatrix() = default;
+
+ B3DHomMatrix& B3DHomMatrix::operator=(const B3DHomMatrix&) = default;
+
+ B3DHomMatrix& B3DHomMatrix::operator=(B3DHomMatrix&&) = default;
+
+ double B3DHomMatrix::get(sal_uInt16 nRow, sal_uInt16 nColumn) const
+ {
+ return mpImpl->get(nRow, nColumn);
+ }
+
+ void B3DHomMatrix::set(sal_uInt16 nRow, sal_uInt16 nColumn, double fValue)
+ {
+ mpImpl->set(nRow, nColumn, fValue);
+ }
+
+ bool B3DHomMatrix::isLastLineDefault() const
+ {
+ return mpImpl->isLastLineDefault();
+ }
+
+ bool B3DHomMatrix::isIdentity() const
+ {
+ return mpImpl->isIdentity();
+ }
+
+ void B3DHomMatrix::identity()
+ {
+ *mpImpl = Impl3DHomMatrix();
+ }
+
+ void B3DHomMatrix::invert()
+ {
+ Impl3DHomMatrix aWork(*mpImpl);
+ std::unique_ptr<sal_uInt16[]> pIndex( new sal_uInt16[Impl3DHomMatrix_Base::getEdgeLength()] );
+ sal_Int16 nParity;
+
+ if(aWork.ludcmp(pIndex.get(), nParity))
+ {
+ mpImpl->doInvert(aWork, pIndex.get());
+ }
+ }
+
+ double B3DHomMatrix::determinant() const
+ {
+ return mpImpl->doDeterminant();
+ }
+
+ B3DHomMatrix& B3DHomMatrix::operator+=(const B3DHomMatrix& rMat)
+ {
+ mpImpl->doAddMatrix(*rMat.mpImpl);
+ return *this;
+ }
+
+ B3DHomMatrix& B3DHomMatrix::operator-=(const B3DHomMatrix& rMat)
+ {
+ mpImpl->doSubMatrix(*rMat.mpImpl);
+ return *this;
+ }
+
+ B3DHomMatrix& B3DHomMatrix::operator*=(double fValue)
+ {
+ const double fOne(1.0);
+
+ if(!fTools::equal(fOne, fValue))
+ mpImpl->doMulMatrix(fValue);
+
+ return *this;
+ }
+
+ B3DHomMatrix& B3DHomMatrix::operator/=(double fValue)
+ {
+ const double fOne(1.0);
+
+ if(!fTools::equal(fOne, fValue))
+ mpImpl->doMulMatrix(1.0 / fValue);
+
+ return *this;
+ }
+
+ B3DHomMatrix& B3DHomMatrix::operator*=(const B3DHomMatrix& rMat)
+ {
+ if(rMat.isIdentity())
+ {
+ // multiply with identity, no change -> nothing to do
+ }
+ else if(isIdentity())
+ {
+ // we are identity, result will be rMat -> assign
+ *this = rMat;
+ }
+ else
+ {
+ // multiply
+ mpImpl->doMulMatrix(*rMat.mpImpl);
+ }
+ return *this;
+ }
+
+ bool B3DHomMatrix::operator==(const B3DHomMatrix& rMat) const
+ {
+ if(mpImpl.same_object(rMat.mpImpl))
+ return true;
+
+ return mpImpl->isEqual(*rMat.mpImpl);
+ }
+
+ bool B3DHomMatrix::operator!=(const B3DHomMatrix& rMat) const
+ {
+ return !(*this == rMat);
+ }
+
+ void B3DHomMatrix::rotate(double fAngleX,double fAngleY,double fAngleZ)
+ {
+ if(fTools::equalZero(fAngleX) && fTools::equalZero(fAngleY) && fTools::equalZero(fAngleZ))
+ return;
+
+ if(!fTools::equalZero(fAngleX))
+ {
+ Impl3DHomMatrix aRotMatX;
+ double fSin(sin(fAngleX));
+ double fCos(cos(fAngleX));
+
+ aRotMatX.set(1, 1, fCos);
+ aRotMatX.set(2, 2, fCos);
+ aRotMatX.set(2, 1, fSin);
+ aRotMatX.set(1, 2, -fSin);
+
+ mpImpl->doMulMatrix(aRotMatX);
+ }
+
+ if(!fTools::equalZero(fAngleY))
+ {
+ Impl3DHomMatrix aRotMatY;
+ double fSin(sin(fAngleY));
+ double fCos(cos(fAngleY));
+
+ aRotMatY.set(0, 0, fCos);
+ aRotMatY.set(2, 2, fCos);
+ aRotMatY.set(0, 2, fSin);
+ aRotMatY.set(2, 0, -fSin);
+
+ mpImpl->doMulMatrix(aRotMatY);
+ }
+
+ if(fTools::equalZero(fAngleZ))
+ return;
+
+ Impl3DHomMatrix aRotMatZ;
+ double fSin(sin(fAngleZ));
+ double fCos(cos(fAngleZ));
+
+ aRotMatZ.set(0, 0, fCos);
+ aRotMatZ.set(1, 1, fCos);
+ aRotMatZ.set(1, 0, fSin);
+ aRotMatZ.set(0, 1, -fSin);
+
+ mpImpl->doMulMatrix(aRotMatZ);
+ }
+
+ void B3DHomMatrix::rotate(const B3DTuple& rRotation)
+ {
+ rotate(rRotation.getX(), rRotation.getY(), rRotation.getZ());
+ }
+
+ void B3DHomMatrix::translate(double fX, double fY, double fZ)
+ {
+ if(!fTools::equalZero(fX) || !fTools::equalZero(fY) || !fTools::equalZero(fZ))
+ {
+ Impl3DHomMatrix aTransMat;
+
+ aTransMat.set(0, 3, fX);
+ aTransMat.set(1, 3, fY);
+ aTransMat.set(2, 3, fZ);
+
+ mpImpl->doMulMatrix(aTransMat);
+ }
+ }
+
+ void B3DHomMatrix::translate(const B3DTuple& rRotation)
+ {
+ translate(rRotation.getX(), rRotation.getY(), rRotation.getZ());
+ }
+
+ void B3DHomMatrix::scale(double fX, double fY, double fZ)
+ {
+ const double fOne(1.0);
+
+ if(!fTools::equal(fOne, fX) || !fTools::equal(fOne, fY) ||!fTools::equal(fOne, fZ))
+ {
+ Impl3DHomMatrix aScaleMat;
+
+ aScaleMat.set(0, 0, fX);
+ aScaleMat.set(1, 1, fY);
+ aScaleMat.set(2, 2, fZ);
+
+ mpImpl->doMulMatrix(aScaleMat);
+ }
+ }
+
+ void B3DHomMatrix::scale(const B3DTuple& rRotation)
+ {
+ scale(rRotation.getX(), rRotation.getY(), rRotation.getZ());
+ }
+
+ void B3DHomMatrix::shearXY(double fSx, double fSy)
+ {
+ // #i76239# do not test against 1.0, but against 0.0. We are talking about a value not on the diagonal (!)
+ if(!fTools::equalZero(fSx) || !fTools::equalZero(fSy))
+ {
+ Impl3DHomMatrix aShearXYMat;
+
+ aShearXYMat.set(0, 2, fSx);
+ aShearXYMat.set(1, 2, fSy);
+
+ mpImpl->doMulMatrix(aShearXYMat);
+ }
+ }
+
+ void B3DHomMatrix::shearXZ(double fSx, double fSz)
+ {
+ // #i76239# do not test against 1.0, but against 0.0. We are talking about a value not on the diagonal (!)
+ if(!fTools::equalZero(fSx) || !fTools::equalZero(fSz))
+ {
+ Impl3DHomMatrix aShearXZMat;
+
+ aShearXZMat.set(0, 1, fSx);
+ aShearXZMat.set(2, 1, fSz);
+
+ mpImpl->doMulMatrix(aShearXZMat);
+ }
+ }
+ void B3DHomMatrix::frustum(double fLeft, double fRight, double fBottom, double fTop, double fNear, double fFar)
+ {
+ const double fZero(0.0);
+ const double fOne(1.0);
+
+ if(!fTools::more(fNear, fZero))
+ {
+ fNear = 0.001;
+ }
+
+ if(!fTools::more(fFar, fZero))
+ {
+ fFar = fOne;
+ }
+
+ if(fTools::equal(fNear, fFar))
+ {
+ fFar = fNear + fOne;
+ }
+
+ if(fTools::equal(fLeft, fRight))
+ {
+ fLeft -= fOne;
+ fRight += fOne;
+ }
+
+ if(fTools::equal(fTop, fBottom))
+ {
+ fBottom -= fOne;
+ fTop += fOne;
+ }
+
+ Impl3DHomMatrix aFrustumMat;
+
+ aFrustumMat.set(0, 0, 2.0 * fNear / (fRight - fLeft));
+ aFrustumMat.set(1, 1, 2.0 * fNear / (fTop - fBottom));
+ aFrustumMat.set(0, 2, (fRight + fLeft) / (fRight - fLeft));
+ aFrustumMat.set(1, 2, (fTop + fBottom) / (fTop - fBottom));
+ aFrustumMat.set(2, 2, -fOne * ((fFar + fNear) / (fFar - fNear)));
+ aFrustumMat.set(3, 2, -fOne);
+ aFrustumMat.set(2, 3, -fOne * ((2.0 * fFar * fNear) / (fFar - fNear)));
+ aFrustumMat.set(3, 3, fZero);
+
+ mpImpl->doMulMatrix(aFrustumMat);
+ }
+
+ void B3DHomMatrix::ortho(double fLeft, double fRight, double fBottom, double fTop, double fNear, double fFar)
+ {
+ if(fTools::equal(fNear, fFar))
+ {
+ fFar = fNear + 1.0;
+ }
+
+ if(fTools::equal(fLeft, fRight))
+ {
+ fLeft -= 1.0;
+ fRight += 1.0;
+ }
+
+ if(fTools::equal(fTop, fBottom))
+ {
+ fBottom -= 1.0;
+ fTop += 1.0;
+ }
+
+ Impl3DHomMatrix aOrthoMat;
+
+ aOrthoMat.set(0, 0, 2.0 / (fRight - fLeft));
+ aOrthoMat.set(1, 1, 2.0 / (fTop - fBottom));
+ aOrthoMat.set(2, 2, -1.0 * (2.0 / (fFar - fNear)));
+ aOrthoMat.set(0, 3, -1.0 * ((fRight + fLeft) / (fRight - fLeft)));
+ aOrthoMat.set(1, 3, -1.0 * ((fTop + fBottom) / (fTop - fBottom)));
+ aOrthoMat.set(2, 3, -1.0 * ((fFar + fNear) / (fFar - fNear)));
+
+ mpImpl->doMulMatrix(aOrthoMat);
+ }
+
+ void B3DHomMatrix::orientation(const B3DPoint& rVRP, B3DVector aVPN, B3DVector aVUV)
+ {
+ Impl3DHomMatrix aOrientationMat;
+
+ // translate -VRP
+ aOrientationMat.set(0, 3, -rVRP.getX());
+ aOrientationMat.set(1, 3, -rVRP.getY());
+ aOrientationMat.set(2, 3, -rVRP.getZ());
+
+ // build rotation
+ aVUV.normalize();
+ aVPN.normalize();
+
+ // build x-axis as perpendicular from aVUV and aVPN
+ B3DVector aRx(aVUV.getPerpendicular(aVPN));
+ aRx.normalize();
+
+ // y-axis perpendicular to that
+ B3DVector aRy(aVPN.getPerpendicular(aRx));
+ aRy.normalize();
+
+ // the calculated normals are the line vectors of the rotation matrix,
+ // set them to create rotation
+ aOrientationMat.set(0, 0, aRx.getX());
+ aOrientationMat.set(0, 1, aRx.getY());
+ aOrientationMat.set(0, 2, aRx.getZ());
+ aOrientationMat.set(1, 0, aRy.getX());
+ aOrientationMat.set(1, 1, aRy.getY());
+ aOrientationMat.set(1, 2, aRy.getZ());
+ aOrientationMat.set(2, 0, aVPN.getX());
+ aOrientationMat.set(2, 1, aVPN.getY());
+ aOrientationMat.set(2, 2, aVPN.getZ());
+
+ mpImpl->doMulMatrix(aOrientationMat);
+ }
+
+ void B3DHomMatrix::decompose(B3DTuple& rScale, B3DTuple& rTranslate, B3DTuple& rRotate, B3DTuple& rShear) const
+ {
+ // when perspective is used, decompose is not made here
+ if(!mpImpl->isLastLineDefault())
+ return;
+
+ // If determinant is zero, decomposition is not possible
+ if(determinant() == 0.0)
+ return;
+
+ // isolate translation
+ rTranslate.setX(mpImpl->get(0, 3));
+ rTranslate.setY(mpImpl->get(1, 3));
+ rTranslate.setZ(mpImpl->get(2, 3));
+
+ // correct translate values
+ rTranslate.correctValues();
+
+ // get scale and shear
+ B3DVector aCol0(mpImpl->get(0, 0), mpImpl->get(1, 0), mpImpl->get(2, 0));
+ B3DVector aCol1(mpImpl->get(0, 1), mpImpl->get(1, 1), mpImpl->get(2, 1));
+ B3DVector aCol2(mpImpl->get(0, 2), mpImpl->get(1, 2), mpImpl->get(2, 2));
+ B3DVector aTemp;
+
+ // get ScaleX
+ rScale.setX(aCol0.getLength());
+ aCol0.normalize();
+
+ // get ShearXY
+ rShear.setX(aCol0.scalar(aCol1));
+
+ if(fTools::equalZero(rShear.getX()))
+ {
+ rShear.setX(0.0);
+ }
+ else
+ {
+ aTemp.setX(aCol1.getX() - rShear.getX() * aCol0.getX());
+ aTemp.setY(aCol1.getY() - rShear.getX() * aCol0.getY());
+ aTemp.setZ(aCol1.getZ() - rShear.getX() * aCol0.getZ());
+ aCol1 = aTemp;
+ }
+
+ // get ScaleY
+ rScale.setY(aCol1.getLength());
+ aCol1.normalize();
+
+ const double fShearX(rShear.getX());
+
+ if(!fTools::equalZero(fShearX))
+ {
+ rShear.setX(rShear.getX() / rScale.getY());
+ }
+
+ // get ShearXZ
+ rShear.setY(aCol0.scalar(aCol2));
+
+ if(fTools::equalZero(rShear.getY()))
+ {
+ rShear.setY(0.0);
+ }
+ else
+ {
+ aTemp.setX(aCol2.getX() - rShear.getY() * aCol0.getX());
+ aTemp.setY(aCol2.getY() - rShear.getY() * aCol0.getY());
+ aTemp.setZ(aCol2.getZ() - rShear.getY() * aCol0.getZ());
+ aCol2 = aTemp;
+ }
+
+ // get ShearYZ
+ rShear.setZ(aCol1.scalar(aCol2));
+
+ if(fTools::equalZero(rShear.getZ()))
+ {
+ rShear.setZ(0.0);
+ }
+ else
+ {
+ aTemp.setX(aCol2.getX() - rShear.getZ() * aCol1.getX());
+ aTemp.setY(aCol2.getY() - rShear.getZ() * aCol1.getY());
+ aTemp.setZ(aCol2.getZ() - rShear.getZ() * aCol1.getZ());
+ aCol2 = aTemp;
+ }
+
+ // get ScaleZ
+ rScale.setZ(aCol2.getLength());
+ aCol2.normalize();
+
+ const double fShearY(rShear.getY());
+
+ if(!fTools::equalZero(fShearY))
+ {
+ // coverity[copy_paste_error : FALSE] - this is correct getZ, not getY
+ rShear.setY(rShear.getY() / rScale.getZ());
+ }
+
+ const double fShearZ(rShear.getZ());
+
+ if(!fTools::equalZero(fShearZ))
+ {
+ // coverity[original] - this is not an original copy-and-paste source for ^^^
+ rShear.setZ(rShear.getZ() / rScale.getZ());
+ }
+
+ // correct shear values
+ rShear.correctValues();
+
+ // Coordinate system flip?
+ if(0.0 > aCol0.scalar(aCol1.getPerpendicular(aCol2)))
+ {
+ rScale = -rScale;
+ aCol0 = -aCol0;
+ aCol1 = -aCol1;
+ aCol2 = -aCol2;
+ }
+
+ // correct scale values
+ rScale.correctValues(1.0);
+
+ // Get rotations
+ {
+ double fy=0;
+ double cy=0;
+
+ if( ::basegfx::fTools::equal( aCol0.getZ(), 1.0 )
+ || aCol0.getZ() > 1.0 )
+ {
+ fy = -M_PI/2.0;
+ cy = 0.0;
+ }
+ else if( ::basegfx::fTools::equal( aCol0.getZ(), -1.0 )
+ || aCol0.getZ() < -1.0 )
+ {
+ fy = M_PI/2.0;
+ cy = 0.0;
+ }
+ else
+ {
+ fy = asin( -aCol0.getZ() );
+ cy = cos(fy);
+ }
+
+ rRotate.setY(fy);
+ if( ::basegfx::fTools::equalZero( cy ) )
+ {
+ if( aCol0.getZ() > 0.0 )
+ rRotate.setX(atan2(-1.0*aCol1.getX(), aCol1.getY()));
+ else
+ rRotate.setX(atan2(aCol1.getX(), aCol1.getY()));
+ rRotate.setZ(0.0);
+ }
+ else
+ {
+ rRotate.setX(atan2(aCol1.getZ(), aCol2.getZ()));
+ rRotate.setZ(atan2(aCol0.getY(), aCol0.getX()));
+ }
+
+ // correct rotate values
+ rRotate.correctValues();
+ }
+ }
+} // end of namespace basegfx
+
+/* vim:set shiftwidth=4 softtabstop=4 expandtab: */
diff --git a/basegfx/source/matrix/b3dhommatrixtools.cxx b/basegfx/source/matrix/b3dhommatrixtools.cxx
new file mode 100644
index 000000000..9125aca4e
--- /dev/null
+++ b/basegfx/source/matrix/b3dhommatrixtools.cxx
@@ -0,0 +1,71 @@
+/* -*- 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 <basegfx/matrix/b3dhommatrixtools.hxx>
+#include <com/sun/star/drawing/HomogenMatrix.hpp>
+
+namespace basegfx::utils
+{
+B3DHomMatrix UnoHomogenMatrixToB3DHomMatrix(const com::sun::star::drawing::HomogenMatrix& rMatrixIn)
+{
+ B3DHomMatrix aRetval;
+
+ aRetval.set(0, 0, rMatrixIn.Line1.Column1);
+ aRetval.set(0, 1, rMatrixIn.Line1.Column2);
+ aRetval.set(0, 2, rMatrixIn.Line1.Column3);
+ aRetval.set(0, 3, rMatrixIn.Line1.Column4);
+ aRetval.set(1, 0, rMatrixIn.Line2.Column1);
+ aRetval.set(1, 1, rMatrixIn.Line2.Column2);
+ aRetval.set(1, 2, rMatrixIn.Line2.Column3);
+ aRetval.set(1, 3, rMatrixIn.Line2.Column4);
+ aRetval.set(2, 0, rMatrixIn.Line3.Column1);
+ aRetval.set(2, 1, rMatrixIn.Line3.Column2);
+ aRetval.set(2, 2, rMatrixIn.Line3.Column3);
+ aRetval.set(2, 3, rMatrixIn.Line3.Column4);
+ aRetval.set(3, 0, rMatrixIn.Line4.Column1);
+ aRetval.set(3, 1, rMatrixIn.Line4.Column2);
+ aRetval.set(3, 2, rMatrixIn.Line4.Column3);
+ aRetval.set(3, 3, rMatrixIn.Line4.Column4);
+
+ return aRetval;
+}
+
+void B3DHomMatrixToUnoHomogenMatrix(const B3DHomMatrix& rMatrixIn,
+ com::sun::star::drawing::HomogenMatrix& rMatrixOut)
+{
+ rMatrixOut.Line1.Column1 = rMatrixIn.get(0, 0);
+ rMatrixOut.Line1.Column2 = rMatrixIn.get(0, 1);
+ rMatrixOut.Line1.Column3 = rMatrixIn.get(0, 2);
+ rMatrixOut.Line1.Column4 = rMatrixIn.get(0, 3);
+ rMatrixOut.Line2.Column1 = rMatrixIn.get(1, 0);
+ rMatrixOut.Line2.Column2 = rMatrixIn.get(1, 1);
+ rMatrixOut.Line2.Column3 = rMatrixIn.get(1, 2);
+ rMatrixOut.Line2.Column4 = rMatrixIn.get(1, 3);
+ rMatrixOut.Line3.Column1 = rMatrixIn.get(2, 0);
+ rMatrixOut.Line3.Column2 = rMatrixIn.get(2, 1);
+ rMatrixOut.Line3.Column3 = rMatrixIn.get(2, 2);
+ rMatrixOut.Line3.Column4 = rMatrixIn.get(2, 3);
+ rMatrixOut.Line4.Column1 = rMatrixIn.get(3, 0);
+ rMatrixOut.Line4.Column2 = rMatrixIn.get(3, 1);
+ rMatrixOut.Line4.Column3 = rMatrixIn.get(3, 2);
+ rMatrixOut.Line4.Column4 = rMatrixIn.get(3, 3);
+}
+} // end of namespace
+
+/* vim:set shiftwidth=4 softtabstop=4 expandtab: */
generated by cgit v1.2.3 (git 2.39.1) at 2024-07-20 16:26:58 +0000