616 lines
18 KiB
C++
616 lines
18 KiB
C++
/*************************************************************************
|
|
*
|
|
* DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
|
|
*
|
|
* Copyright 2008 by Sun Microsystems, Inc.
|
|
*
|
|
* OpenOffice.org - a multi-platform office productivity suite
|
|
*
|
|
* $RCSfile: hommatrixtemplate.hxx,v $
|
|
* $Revision: 1.18.12.2 $
|
|
*
|
|
* This file is part of OpenOffice.org.
|
|
*
|
|
* OpenOffice.org is free software: you can redistribute it and/or modify
|
|
* it under the terms of the GNU Lesser General Public License version 3
|
|
* only, as published by the Free Software Foundation.
|
|
*
|
|
* OpenOffice.org 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 version 3 for more details
|
|
* (a copy is included in the LICENSE file that accompanied this code).
|
|
*
|
|
* You should have received a copy of the GNU Lesser General Public License
|
|
* version 3 along with OpenOffice.org. If not, see
|
|
* <http://www.openoffice.org/license.html>
|
|
* for a copy of the LGPLv3 License.
|
|
*
|
|
************************************************************************/
|
|
|
|
#ifndef _HOMMATRIX_TEMPLATE_HXX
|
|
#define _HOMMATRIX_TEMPLATE_HXX
|
|
|
|
#include <sal/types.h>
|
|
#include <basegfx/numeric/ftools.hxx>
|
|
#include <math.h>
|
|
#include <string.h>
|
|
|
|
namespace basegfx
|
|
{
|
|
namespace internal
|
|
{
|
|
|
|
inline double implGetDefaultValue(sal_uInt16 nRow, sal_uInt16 nColumn)
|
|
{
|
|
if(nRow == nColumn)
|
|
return 1.0;
|
|
return 0.0;
|
|
}
|
|
|
|
template < unsigned int _RowSize > class ImplMatLine
|
|
{
|
|
enum { RowSize = _RowSize };
|
|
|
|
double mfValue[RowSize];
|
|
|
|
public:
|
|
ImplMatLine()
|
|
{
|
|
}
|
|
|
|
ImplMatLine(sal_uInt16 nRow, ImplMatLine< RowSize >* pToBeCopied = 0L)
|
|
{
|
|
if(pToBeCopied)
|
|
{
|
|
memcpy(&mfValue, pToBeCopied, sizeof(double) * RowSize);
|
|
}
|
|
else
|
|
{
|
|
for(sal_uInt16 a(0); a < RowSize; a++)
|
|
{
|
|
mfValue[a] = implGetDefaultValue(nRow, a);
|
|
}
|
|
}
|
|
}
|
|
|
|
double get(sal_uInt16 nColumn) const
|
|
{
|
|
return mfValue[nColumn];
|
|
}
|
|
|
|
void set(sal_uInt16 nColumn, const double& rValue)
|
|
{
|
|
mfValue[nColumn] = rValue;
|
|
}
|
|
};
|
|
|
|
template < unsigned int _RowSize > class ImplHomMatrixTemplate
|
|
{
|
|
enum { RowSize = _RowSize };
|
|
|
|
ImplMatLine< RowSize > maLine[RowSize - 1];
|
|
ImplMatLine< RowSize >* mpLine;
|
|
|
|
public:
|
|
// Is last line used?
|
|
bool isLastLineDefault() const
|
|
{
|
|
if(!mpLine)
|
|
return true;
|
|
|
|
for(sal_uInt16 a(0); a < RowSize; a++)
|
|
{
|
|
const double fDefault(implGetDefaultValue((RowSize - 1), a));
|
|
const double fLineValue(mpLine->get(a));
|
|
|
|
if(!::basegfx::fTools::equal(fDefault, fLineValue))
|
|
{
|
|
return false;
|
|
}
|
|
}
|
|
|
|
// reset last line, it equals default
|
|
delete ((ImplHomMatrixTemplate< RowSize >*)this)->mpLine;
|
|
((ImplHomMatrixTemplate< RowSize >*)this)->mpLine = 0L;
|
|
|
|
return true;
|
|
}
|
|
|
|
ImplHomMatrixTemplate()
|
|
: mpLine(0L)
|
|
{
|
|
// complete initialization with identity matrix, all lines
|
|
// were initialized with a trailing 1 followed by 0's.
|
|
for(sal_uInt16 a(0); a < RowSize-1; a++)
|
|
{
|
|
for(sal_uInt16 b(0); b < RowSize; b++)
|
|
maLine[a].set(b, implGetDefaultValue(a, b) );
|
|
}
|
|
}
|
|
|
|
ImplHomMatrixTemplate(const ImplHomMatrixTemplate& rToBeCopied)
|
|
: mpLine(0L)
|
|
{
|
|
// complete initialization using copy
|
|
for(sal_uInt16 a(0); a < (RowSize - 1); a++)
|
|
{
|
|
memcpy(&maLine[a], &rToBeCopied.maLine[a], sizeof(ImplMatLine< RowSize >));
|
|
}
|
|
|
|
if(rToBeCopied.mpLine)
|
|
{
|
|
mpLine = new ImplMatLine< RowSize >((RowSize - 1), rToBeCopied.mpLine);
|
|
}
|
|
}
|
|
|
|
~ImplHomMatrixTemplate()
|
|
{
|
|
if(mpLine)
|
|
{
|
|
delete mpLine;
|
|
}
|
|
}
|
|
|
|
sal_uInt16 getEdgeLength() const { return RowSize; }
|
|
|
|
double get(sal_uInt16 nRow, sal_uInt16 nColumn) const
|
|
{
|
|
if(nRow < (RowSize - 1))
|
|
{
|
|
return maLine[nRow].get(nColumn);
|
|
}
|
|
|
|
if(mpLine)
|
|
{
|
|
return mpLine->get(nColumn);
|
|
}
|
|
|
|
return implGetDefaultValue((RowSize - 1), nColumn);
|
|
}
|
|
|
|
void set(sal_uInt16 nRow, sal_uInt16 nColumn, const double& rValue)
|
|
{
|
|
if(nRow < (RowSize - 1))
|
|
{
|
|
maLine[nRow].set(nColumn, rValue);
|
|
}
|
|
else if(mpLine)
|
|
{
|
|
mpLine->set(nColumn, rValue);
|
|
}
|
|
else
|
|
{
|
|
const double fDefault(implGetDefaultValue((RowSize - 1), nColumn));
|
|
|
|
if(!::basegfx::fTools::equal(fDefault, rValue))
|
|
{
|
|
mpLine = new ImplMatLine< RowSize >((RowSize - 1), 0L);
|
|
mpLine->set(nColumn, rValue);
|
|
}
|
|
}
|
|
}
|
|
|
|
void testLastLine()
|
|
{
|
|
if(mpLine)
|
|
{
|
|
bool bNecessary(false);
|
|
|
|
for(sal_uInt16 a(0);!bNecessary && a < RowSize; a++)
|
|
{
|
|
const double fDefault(implGetDefaultValue((RowSize - 1), a));
|
|
const double fLineValue(mpLine->get(a));
|
|
|
|
if(!::basegfx::fTools::equal(fDefault, fLineValue))
|
|
{
|
|
bNecessary = true;
|
|
}
|
|
}
|
|
|
|
if(!bNecessary)
|
|
{
|
|
delete mpLine;
|
|
mpLine = 0L;
|
|
}
|
|
}
|
|
}
|
|
|
|
// Left-upper decompositon
|
|
bool ludcmp(sal_uInt16 nIndex[], sal_Int16& nParity)
|
|
{
|
|
double fBig, fSum, fDum;
|
|
double fStorage[RowSize];
|
|
sal_uInt16 a, b, c;
|
|
|
|
// #i30874# Initialize nAMax (compiler warns)
|
|
sal_uInt16 nAMax = 0;
|
|
|
|
nParity = 1;
|
|
|
|
// Calc the max of each line. If a line is empty,
|
|
// stop immediately since matrix is not invertible then.
|
|
for(a = 0; a < RowSize; a++)
|
|
{
|
|
fBig = 0.0;
|
|
|
|
for(b = 0; b < RowSize; b++)
|
|
{
|
|
double fTemp(fabs(get(a, b)));
|
|
|
|
if(::basegfx::fTools::more(fTemp, fBig))
|
|
{
|
|
fBig = fTemp;
|
|
}
|
|
}
|
|
|
|
if(::basegfx::fTools::equalZero(fBig))
|
|
{
|
|
return false;
|
|
}
|
|
|
|
fStorage[a] = 1.0 / fBig;
|
|
}
|
|
|
|
// start normalizing
|
|
for(b = 0; b < RowSize; b++)
|
|
{
|
|
for(a = 0; a < b; a++)
|
|
{
|
|
fSum = get(a, b);
|
|
|
|
for(c = 0; c < a; c++)
|
|
{
|
|
fSum -= get(a, c) * get(c, b);
|
|
}
|
|
|
|
set(a, b, fSum);
|
|
}
|
|
|
|
fBig = 0.0;
|
|
|
|
for(a = b; a < RowSize; a++)
|
|
{
|
|
fSum = get(a, b);
|
|
|
|
for(c = 0; c < b; c++)
|
|
{
|
|
fSum -= get(a, c) * get(c, b);
|
|
}
|
|
|
|
set(a, b, fSum);
|
|
fDum = fStorage[a] * fabs(fSum);
|
|
|
|
if(::basegfx::fTools::moreOrEqual(fDum, fBig))
|
|
{
|
|
fBig = fDum;
|
|
nAMax = a;
|
|
}
|
|
}
|
|
|
|
if(b != nAMax)
|
|
{
|
|
for(c = 0; c < RowSize; c++)
|
|
{
|
|
fDum = get(nAMax, c);
|
|
set(nAMax, c, get(b, c));
|
|
set(b, c, fDum);
|
|
}
|
|
|
|
nParity = -nParity;
|
|
fStorage[nAMax] = fStorage[b];
|
|
}
|
|
|
|
nIndex[b] = nAMax;
|
|
|
|
// here the failure of precision occurs
|
|
const double fValBB(fabs(get(b, b)));
|
|
|
|
if(::basegfx::fTools::equalZero(fValBB))
|
|
{
|
|
return false;
|
|
}
|
|
|
|
if(b != (RowSize - 1))
|
|
{
|
|
fDum = 1.0 / get(b, b);
|
|
|
|
for(a = b + 1; a < RowSize; a++)
|
|
{
|
|
set(a, b, get(a, b) * fDum);
|
|
}
|
|
}
|
|
}
|
|
|
|
return true;
|
|
}
|
|
|
|
void lubksb(const sal_uInt16 nIndex[], double fRow[]) const
|
|
{
|
|
sal_uInt16 b, ip;
|
|
sal_Int16 a, a2 = -1;
|
|
double fSum;
|
|
|
|
for(a = 0; a < RowSize; a++)
|
|
{
|
|
ip = nIndex[a];
|
|
fSum = fRow[ip];
|
|
fRow[ip] = fRow[a];
|
|
|
|
if(a2 >= 0)
|
|
{
|
|
for(b = a2; b < a; b++)
|
|
{
|
|
fSum -= get(a, b) * fRow[b];
|
|
}
|
|
}
|
|
else if(!::basegfx::fTools::equalZero(fSum))
|
|
{
|
|
a2 = a;
|
|
}
|
|
|
|
fRow[a] = fSum;
|
|
}
|
|
|
|
for(a = (RowSize - 1); a >= 0; a--)
|
|
{
|
|
fSum = fRow[a];
|
|
|
|
for(b = a + 1; b < RowSize; b++)
|
|
{
|
|
fSum -= get(a, b) * fRow[b];
|
|
}
|
|
|
|
const double fValueAA(get(a, a));
|
|
|
|
if(!::basegfx::fTools::equalZero(fValueAA))
|
|
{
|
|
fRow[a] = fSum / get(a, a);
|
|
}
|
|
}
|
|
}
|
|
|
|
bool isIdentity() const
|
|
{
|
|
// last line needs no testing if not existing
|
|
const sal_uInt16 nMaxLine(
|
|
sal::static_int_cast<sal_uInt16>(mpLine ? RowSize : (RowSize - 1)) );
|
|
|
|
for(sal_uInt16 a(0); a < nMaxLine; a++)
|
|
{
|
|
for(sal_uInt16 b(0); b < RowSize; b++)
|
|
{
|
|
const double fDefault(implGetDefaultValue(a, b));
|
|
const double fValueAB(get(a, b));
|
|
|
|
if(!::basegfx::fTools::equal(fDefault, fValueAB))
|
|
{
|
|
return false;
|
|
}
|
|
}
|
|
}
|
|
|
|
return true;
|
|
}
|
|
|
|
bool isInvertible() const
|
|
{
|
|
ImplHomMatrixTemplate aWork(*this);
|
|
sal_uInt16 nIndex[RowSize];
|
|
sal_Int16 nParity;
|
|
|
|
return aWork.ludcmp(nIndex, nParity);
|
|
}
|
|
|
|
bool isNormalized() const
|
|
{
|
|
if(!mpLine)
|
|
return true;
|
|
|
|
const double fHomValue(get((RowSize - 1), (RowSize - 1)));
|
|
|
|
if(::basegfx::fTools::equalZero(fHomValue))
|
|
{
|
|
return true;
|
|
}
|
|
|
|
const double fOne(1.0);
|
|
|
|
if(::basegfx::fTools::equal(fOne, fHomValue))
|
|
{
|
|
return true;
|
|
}
|
|
|
|
return false;
|
|
}
|
|
|
|
void doInvert(const ImplHomMatrixTemplate& rWork, const sal_uInt16 nIndex[])
|
|
{
|
|
double fArray[RowSize];
|
|
|
|
for(sal_uInt16 a(0); a < RowSize; a++)
|
|
{
|
|
// prepare line
|
|
sal_uInt16 b;
|
|
for( b = 0; b < RowSize; b++)
|
|
{
|
|
fArray[b] = implGetDefaultValue(a, b);
|
|
}
|
|
|
|
// expand line
|
|
rWork.lubksb(nIndex, fArray);
|
|
|
|
// copy line transposed to this matrix
|
|
for( b = 0; b < RowSize; b++)
|
|
{
|
|
set(b, a, fArray[b]);
|
|
}
|
|
}
|
|
|
|
// evtl. get rid of last matrix line
|
|
testLastLine();
|
|
}
|
|
|
|
void doNormalize()
|
|
{
|
|
if(mpLine)
|
|
{
|
|
const double fHomValue(get((RowSize - 1), (RowSize - 1)));
|
|
|
|
for(sal_uInt16 a(0); a < RowSize; a++)
|
|
{
|
|
for(sal_uInt16 b(0); b < RowSize; b++)
|
|
{
|
|
set(a, b, get(a, b) / fHomValue);
|
|
}
|
|
}
|
|
|
|
// evtl. get rid of last matrix line
|
|
testLastLine();
|
|
}
|
|
}
|
|
|
|
double doDeterminant() const
|
|
{
|
|
ImplHomMatrixTemplate aWork(*this);
|
|
sal_uInt16 nIndex[RowSize];
|
|
sal_Int16 nParity;
|
|
double fRetval(0.0);
|
|
|
|
if(aWork.ludcmp(nIndex, nParity))
|
|
{
|
|
fRetval = (double)nParity;
|
|
|
|
// last line needs no multiply if not existing; default value would be 1.
|
|
const sal_uInt16 nMaxLine(
|
|
sal::static_int_cast<sal_uInt16>(aWork.mpLine ? RowSize : (RowSize - 1)) );
|
|
|
|
for(sal_uInt16 a(0); a < nMaxLine; a++)
|
|
{
|
|
fRetval *= aWork.get(a, a);
|
|
}
|
|
}
|
|
|
|
return fRetval;
|
|
}
|
|
|
|
double doTrace() const
|
|
{
|
|
double fTrace = (mpLine) ? 0.0 : 1.0;
|
|
const sal_uInt16 nMaxLine(
|
|
sal::static_int_cast<sal_uInt16>(mpLine ? RowSize : (RowSize - 1)) );
|
|
|
|
for(sal_uInt16 a(0); a < nMaxLine; a++)
|
|
{
|
|
fTrace += get(a, a);
|
|
}
|
|
|
|
return fTrace;
|
|
}
|
|
|
|
void doTranspose()
|
|
{
|
|
for(sal_uInt16 a(0); a < (RowSize - 1); a++)
|
|
{
|
|
for(sal_uInt16 b(a + 1); b < RowSize; b++)
|
|
{
|
|
const double fTemp(get(a, b));
|
|
set(a, b, get(b, a));
|
|
set(b, a, fTemp);
|
|
}
|
|
}
|
|
|
|
testLastLine();
|
|
}
|
|
|
|
void doAddMatrix(const ImplHomMatrixTemplate& rMat)
|
|
{
|
|
for(sal_uInt16 a(0); a < RowSize; a++)
|
|
{
|
|
for(sal_uInt16 b(0); b < RowSize; b++)
|
|
{
|
|
set(a, b, get(a, b) + rMat.get(a, b));
|
|
}
|
|
}
|
|
|
|
testLastLine();
|
|
}
|
|
|
|
void doSubMatrix(const ImplHomMatrixTemplate& rMat)
|
|
{
|
|
for(sal_uInt16 a(0); a < RowSize; a++)
|
|
{
|
|
for(sal_uInt16 b(0); b < RowSize; b++)
|
|
{
|
|
set(a, b, get(a, b) - rMat.get(a, b));
|
|
}
|
|
}
|
|
|
|
testLastLine();
|
|
}
|
|
|
|
void doMulMatrix(const double& rfValue)
|
|
{
|
|
for(sal_uInt16 a(0); a < RowSize; a++)
|
|
{
|
|
for(sal_uInt16 b(0); b < RowSize; b++)
|
|
{
|
|
set(a, b, get(a, b) * rfValue);
|
|
}
|
|
}
|
|
|
|
testLastLine();
|
|
}
|
|
|
|
void doMulMatrix(const ImplHomMatrixTemplate& rMat)
|
|
{
|
|
// create a copy as source for the original values
|
|
const ImplHomMatrixTemplate aCopy(*this);
|
|
|
|
// TODO: maybe optimize cases where last line is [0 0 1].
|
|
|
|
double fValue(0.0);
|
|
|
|
for(sal_uInt16 a(0); a < RowSize; ++a)
|
|
{
|
|
for(sal_uInt16 b(0); b < RowSize; ++b)
|
|
{
|
|
fValue = 0.0;
|
|
|
|
for(sal_uInt16 c(0); c < RowSize; ++c)
|
|
fValue += aCopy.get(c, b) * rMat.get(a, c);
|
|
|
|
set(a, b, fValue);
|
|
}
|
|
}
|
|
|
|
testLastLine();
|
|
}
|
|
|
|
bool isEqual(const ImplHomMatrixTemplate& rMat) const
|
|
{
|
|
const sal_uInt16 nMaxLine(
|
|
sal::static_int_cast<sal_uInt16>((mpLine || rMat.mpLine) ? RowSize : (RowSize - 1)) );
|
|
|
|
for(sal_uInt16 a(0); a < nMaxLine; a++)
|
|
{
|
|
for(sal_uInt16 b(0); b < RowSize; b++)
|
|
{
|
|
const double fValueA(get(a, b));
|
|
const double fValueB(rMat.get(a, b));
|
|
|
|
if(!::basegfx::fTools::equal(fValueA, fValueB))
|
|
{
|
|
return false;
|
|
}
|
|
}
|
|
}
|
|
|
|
return true;
|
|
}
|
|
};
|
|
|
|
} // namespace internal
|
|
} // namespace basegfx
|
|
|
|
#endif /* _HOMMATRIX_TEMPLATE_HXX */
|