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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 <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 = -F_PI/2.0;
+ cy = 0.0;
+ }
+ else if( ::basegfx::fTools::equal( aCol0.getZ(), -1.0 )
+ || aCol0.getZ() < -1.0 )
+ {
+ fy = F_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: */