d7b2fea922
2007/04/11 13:28:01 aw 1.12.20.1: #i76239# for shear commands on matrices, do not test against 1.0, but against 0.0
615 lines
17 KiB
C++
615 lines
17 KiB
C++
/*************************************************************************
|
|
*
|
|
* OpenOffice.org - a multi-platform office productivity suite
|
|
*
|
|
* $RCSfile: b3dhommatrix.cxx,v $
|
|
*
|
|
* $Revision: 1.13 $
|
|
*
|
|
* last change: $Author: kz $ $Date: 2007-05-09 13:22:08 $
|
|
*
|
|
* The Contents of this file are made available subject to
|
|
* the terms of GNU Lesser General Public License Version 2.1.
|
|
*
|
|
*
|
|
* GNU Lesser General Public License Version 2.1
|
|
* =============================================
|
|
* Copyright 2005 by Sun Microsystems, Inc.
|
|
* 901 San Antonio Road, Palo Alto, CA 94303, USA
|
|
*
|
|
* This library is free software; you can redistribute it and/or
|
|
* modify it under the terms of the GNU Lesser General Public
|
|
* License version 2.1, as published by the Free Software Foundation.
|
|
*
|
|
* This library is distributed in the hope that it will be useful,
|
|
* but WITHOUT ANY WARRANTY; without even the implied warranty of
|
|
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
|
|
* Lesser General Public License for more details.
|
|
*
|
|
* You should have received a copy of the GNU Lesser General Public
|
|
* License along with this library; if not, write to the Free Software
|
|
* Foundation, Inc., 59 Temple Place, Suite 330, Boston,
|
|
* MA 02111-1307 USA
|
|
*
|
|
************************************************************************/
|
|
|
|
// MARKER(update_precomp.py): autogen include statement, do not remove
|
|
#include "precompiled_basegfx.hxx"
|
|
|
|
#ifndef INCLUDED_RTL_INSTANCE_HXX
|
|
#include <rtl/instance.hxx>
|
|
#endif
|
|
|
|
#ifndef _BGFX_MATRIX_B3DHOMMATRIX_HXX
|
|
#include <basegfx/matrix/b3dhommatrix.hxx>
|
|
#endif
|
|
|
|
#ifndef _HOMMATRIX_TEMPLATE_HXX
|
|
#include <hommatrixtemplate.hxx>
|
|
#endif
|
|
|
|
#ifndef _BGFX_VECTOR_B3DVECTOR_HXX
|
|
#include <basegfx/vector/b3dvector.hxx>
|
|
#endif
|
|
|
|
namespace basegfx
|
|
{
|
|
class Impl3DHomMatrix : public ::basegfx::internal::ImplHomMatrixTemplate< 4 >
|
|
{
|
|
};
|
|
|
|
namespace { struct IdentityMatrix : public rtl::Static< B3DHomMatrix::ImplType,
|
|
IdentityMatrix > {}; }
|
|
|
|
B3DHomMatrix::B3DHomMatrix() :
|
|
mpImpl( IdentityMatrix::get() ) // use common identity matrix
|
|
{
|
|
}
|
|
|
|
B3DHomMatrix::B3DHomMatrix(const B3DHomMatrix& rMat) :
|
|
mpImpl(rMat.mpImpl)
|
|
{
|
|
}
|
|
|
|
B3DHomMatrix::~B3DHomMatrix()
|
|
{
|
|
}
|
|
|
|
B3DHomMatrix& B3DHomMatrix::operator=(const B3DHomMatrix& rMat)
|
|
{
|
|
mpImpl = rMat.mpImpl;
|
|
return *this;
|
|
}
|
|
|
|
void B3DHomMatrix::makeUnique()
|
|
{
|
|
mpImpl.make_unique();
|
|
}
|
|
|
|
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
|
|
{
|
|
if(mpImpl.same_object(IdentityMatrix::get()))
|
|
return true;
|
|
|
|
return mpImpl->isIdentity();
|
|
}
|
|
|
|
void B3DHomMatrix::identity()
|
|
{
|
|
mpImpl = IdentityMatrix::get();
|
|
}
|
|
|
|
bool B3DHomMatrix::isInvertible() const
|
|
{
|
|
return mpImpl->isInvertible();
|
|
}
|
|
|
|
bool B3DHomMatrix::invert()
|
|
{
|
|
Impl3DHomMatrix aWork(*mpImpl);
|
|
sal_uInt16* pIndex = new sal_uInt16[mpImpl->getEdgeLength()];
|
|
sal_Int16 nParity;
|
|
|
|
if(aWork.ludcmp(pIndex, nParity))
|
|
{
|
|
mpImpl->doInvert(aWork, pIndex);
|
|
delete[] pIndex;
|
|
|
|
return true;
|
|
}
|
|
|
|
delete[] pIndex;
|
|
return false;
|
|
}
|
|
|
|
bool B3DHomMatrix::isNormalized() const
|
|
{
|
|
return mpImpl->isNormalized();
|
|
}
|
|
|
|
void B3DHomMatrix::normalize()
|
|
{
|
|
if(!const_cast<const B3DHomMatrix*>(this)->mpImpl->isNormalized())
|
|
mpImpl->doNormalize();
|
|
}
|
|
|
|
double B3DHomMatrix::determinant() const
|
|
{
|
|
return mpImpl->doDeterminant();
|
|
}
|
|
|
|
double B3DHomMatrix::trace() const
|
|
{
|
|
return mpImpl->doTrace();
|
|
}
|
|
|
|
void B3DHomMatrix::transpose()
|
|
{
|
|
mpImpl->doTranspose();
|
|
}
|
|
|
|
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())
|
|
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))
|
|
{
|
|
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))
|
|
{
|
|
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::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::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::shearXY(double fSx, double fSy)
|
|
{
|
|
// #i76239# do not test againt 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::shearYZ(double fSy, double fSz)
|
|
{
|
|
// #i76239# do not test againt 1.0, but against 0.0. We are talking about a value not on the diagonal (!)
|
|
if(!fTools::equalZero(fSy) || !fTools::equalZero(fSz))
|
|
{
|
|
Impl3DHomMatrix aShearYZMat;
|
|
|
|
aShearYZMat.set(1, 0, fSy);
|
|
aShearYZMat.set(2, 0, fSz);
|
|
|
|
mpImpl->doMulMatrix(aShearYZMat);
|
|
}
|
|
}
|
|
|
|
void B3DHomMatrix::shearXZ(double fSx, double fSz)
|
|
{
|
|
// #i76239# do not test againt 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(B3DPoint aVRP, B3DVector aVPN, B3DVector aVUV)
|
|
{
|
|
Impl3DHomMatrix aOrientationMat;
|
|
|
|
// translate -VRP
|
|
aOrientationMat.set(0, 3, -aVRP.getX());
|
|
aOrientationMat.set(1, 3, -aVRP.getY());
|
|
aOrientationMat.set(2, 3, -aVRP.getZ());
|
|
|
|
// build rotation
|
|
aVUV.normalize();
|
|
aVPN.normalize();
|
|
|
|
// build x-axis as peroendicular fron 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);
|
|
}
|
|
|
|
bool B3DHomMatrix::decompose(B3DTuple& rScale, B3DTuple& rTranslate, B3DTuple& rRotate, B3DTuple& rShear) const
|
|
{
|
|
// when perspective is used, decompose is not made here
|
|
if(!mpImpl->isLastLineDefault())
|
|
return false;
|
|
|
|
// If determinant is zero, decomposition is not possible
|
|
if(0.0 == determinant())
|
|
return false;
|
|
|
|
// 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(::basegfx::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(!::basegfx::fTools::equalZero(fShearX))
|
|
{
|
|
rShear.setX(rShear.getX() / rScale.getY());
|
|
}
|
|
|
|
// get ShearXZ
|
|
rShear.setY(aCol0.scalar(aCol2));
|
|
|
|
if(::basegfx::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(::basegfx::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(!::basegfx::fTools::equalZero(fShearY))
|
|
{
|
|
rShear.setY(rShear.getY() / rScale.getZ());
|
|
}
|
|
|
|
const double fShearZ(rShear.getZ());
|
|
|
|
if(!::basegfx::fTools::equalZero(fShearZ))
|
|
{
|
|
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()));
|
|
}
|
|
|
|
// corrcet rotate values
|
|
rRotate.correctValues();
|
|
}
|
|
|
|
return true;
|
|
}
|
|
} // end of namespace basegfx
|
|
|
|
// eof
|