/* -*- 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 #include #include #include 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 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: */