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*
* $Id: vpGEMM.h 4056 2013-01-05 13:04:42Z fspindle $
*
* This file is part of the ViSP software.
* Copyright (C) 2005 - 2013 by INRIA. All rights reserved.
*
* This software is free software; you can redistribute it and/or
* modify it under the terms of the GNU General Public License
* ("GPL") version 2 as published by the Free Software Foundation.
* See the file LICENSE.txt at the root directory of this source
* distribution for additional information about the GNU GPL.
*
* For using ViSP with software that can not be combined with the GNU
* GPL, please contact INRIA about acquiring a ViSP Professional
* Edition License.
*
* See http://www.irisa.fr/lagadic/visp/visp.html for more information.
*
* This software was developed at:
* INRIA Rennes - Bretagne Atlantique
* Campus Universitaire de Beaulieu
* 35042 Rennes Cedex
* France
* http://www.irisa.fr/lagadic
*
* If you have questions regarding the use of this file, please contact
* INRIA at visp@inria.fr
*
* This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
* WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
*
*
* Description:
* Matrix generalized multiplication.
*
* Authors:
* Laneurit Jean
*
*****************************************************************************/
#ifndef __VP_GEMM__
#define __VP_GEMM__
#include <visp/vpMatrix.h>
#include <visp/vpException.h>
#include <visp/vpMatrixException.h>
#include <visp/vpDebug.h>
const vpMatrix null(0,0);
/*!
\brief Enumeration of the operations applied on matrices in vpGEMM function.
Operations are :
- VP_GEMM_A_T to use the transpose matrix of A instead of the matrix A
- VP_GEMM_B_T to use the transpose matrix of B instead of the matrix B
- VP_GEMM_C_T to use the transpose matrix of C instead of the matrix C
\relates vpMatrix
*/
typedef enum {
VP_GEMM_A_T=1, //! Use A^T instead of A
VP_GEMM_B_T=2, //! Use B^T instead of B
VP_GEMM_C_T=4, //! Use C^T instead of C
} vpGEMMmethod;
template<unsigned int> inline void GEMMsize(const vpMatrix & /*A*/,const vpMatrix & /*B*/, unsigned int &/*Arows*/, unsigned int &/*Acols*/, unsigned int &/*Brows*/, unsigned int &/*Bcols*/){}
template<> void inline GEMMsize<0>(const vpMatrix & A,const vpMatrix & B, unsigned int &Arows, unsigned int &Acols, unsigned int &Brows, unsigned int &Bcols){
Arows= A.getRows();
Acols= A.getCols();
Brows= B.getRows();
Bcols= B.getCols();
}
template<> inline void GEMMsize<1>(const vpMatrix & A,const vpMatrix & B, unsigned int &Arows, unsigned int &Acols, unsigned int &Brows, unsigned int &Bcols){
Arows= A.getCols();
Acols= A.getRows();
Brows= B.getRows();
Bcols= B.getCols();
}
template<> inline void GEMMsize<2>(const vpMatrix & A,const vpMatrix & B, unsigned int &Arows, unsigned int &Acols, unsigned int &Brows, unsigned int &Bcols){
Arows= A.getRows();
Acols= A.getCols();
Brows= B.getCols();
Bcols= B.getRows();
}
template<> inline void GEMMsize<3>(const vpMatrix & A,const vpMatrix & B, unsigned int &Arows, unsigned int &Acols, unsigned int &Brows, unsigned int &Bcols){
Arows= A.getCols();
Acols= A.getRows();
Brows= B.getCols();
Bcols= B.getRows();
}
template<> inline void GEMMsize<4>(const vpMatrix & A,const vpMatrix & B, unsigned int &Arows, unsigned int &Acols, unsigned int &Brows, unsigned int &Bcols){
Arows= A.getRows();
Acols= A.getCols();
Brows= B.getRows();
Bcols= B.getCols();
}
template<> inline void GEMMsize<5>(const vpMatrix & A,const vpMatrix & B, unsigned int &Arows, unsigned int &Acols, unsigned int &Brows, unsigned int &Bcols){
Arows= A.getCols();
Acols= A.getRows();
Brows= B.getRows();
Bcols= B.getCols();
}
template<> inline void GEMMsize<6>(const vpMatrix & A,const vpMatrix & B, unsigned int &Arows, unsigned int &Acols, unsigned int &Brows, unsigned int &Bcols){
Arows= A.getRows();
Acols= A.getCols();
Brows= B.getCols();
Bcols= B.getRows();
}
template<> inline void GEMMsize<7>(const vpMatrix & A,const vpMatrix & B, unsigned int &Arows, unsigned int &Acols, unsigned int &Brows, unsigned int &Bcols){
Arows= A.getCols();
Acols= A.getRows();
Brows= B.getCols();
Bcols= B.getRows();
}
template<unsigned int> inline void GEMM1(const unsigned int &/*Arows*/,const unsigned int &/*Brows*/, const unsigned int &/*Bcols*/, const vpMatrix & /*A*/, const vpMatrix & /*B*/, const double & /*alpha*/,vpMatrix &/*D*/){}
template<> inline void GEMM1<0>(const unsigned int &Arows,const unsigned int &Brows, const unsigned int &Bcols, const vpMatrix & A, const vpMatrix & B, const double & alpha,vpMatrix &D){
for(unsigned int r=0;r<Arows;r++)
for(unsigned int c=0;c<Bcols;c++){
double sum=0;
for(unsigned int n=0;n<Brows;n++)
sum+=A[r][n]*B[n][c]*alpha;
D[r][c]=sum;
}
}
template<> inline void GEMM1<1>(const unsigned int &Arows,const unsigned int &Brows, const unsigned int &Bcols, const vpMatrix & A, const vpMatrix & B, const double & alpha,vpMatrix &D){
for(unsigned int r=0;r<Arows;r++)
for(unsigned int c=0;c<Bcols;c++){
double sum=0;
for(unsigned int n=0;n<Brows;n++)
sum+=A[n][r]*B[n][c]*alpha;
D[r][c]=sum;
}
}
template<> inline void GEMM1<2>(const unsigned int &Arows,const unsigned int &Brows, const unsigned int &Bcols, const vpMatrix & A,const vpMatrix & B, const double & alpha,vpMatrix &D){
for(unsigned int r=0;r<Arows;r++)
for(unsigned int c=0;c<Bcols;c++){
double sum=0;
for(unsigned int n=0;n<Brows;n++)
sum+=A[r][n]*B[c][n]*alpha;
D[r][c]=sum;
}
}
template<> inline void GEMM1<3>(const unsigned int &Arows,const unsigned int &Brows, const unsigned int &Bcols, const vpMatrix & A,const vpMatrix & B, const double & alpha,vpMatrix &D){
for(unsigned int r=0;r<Arows;r++)
for(unsigned int c=0;c<Bcols;c++){
double sum=0;
for(unsigned int n=0;n<Brows;n++)
sum+=A[n][r]*B[c][n]*alpha;
D[r][c]=sum;
}
}
template<unsigned int> inline void GEMM2(const unsigned int &/*Arows*/,const unsigned int &/*Brows*/, const unsigned int &/*Bcols*/, const vpMatrix & /*A*/,const vpMatrix & /*B*/, const double & /*alpha*/, const vpMatrix & /*C*/ , const double &/*beta*/, vpMatrix &/*D*/){}
template<> inline void GEMM2<0>(const unsigned int &Arows,const unsigned int &Brows, const unsigned int &Bcols, const vpMatrix & A,const vpMatrix & B, const double & alpha, const vpMatrix & C , const double &beta, vpMatrix &D){
for(unsigned int r=0;r<Arows;r++)
for(unsigned int c=0;c<Bcols;c++){
double sum=0;
for(unsigned int n=0;n<Brows;n++)
sum+=A[r][n]*B[n][c]*alpha;
D[r][c]=sum+C[r][c]*beta;
}
}
template<> inline void GEMM2<1>(const unsigned int &Arows,const unsigned int &Brows, const unsigned int &Bcols, const vpMatrix & A,const vpMatrix & B, const double & alpha, const vpMatrix & C , const double &beta, vpMatrix &D){
for(unsigned int r=0;r<Arows;r++)
for(unsigned int c=0;c<Bcols;c++){
double sum=0;
for(unsigned int n=0;n<Brows;n++)
sum+=A[n][r]*B[n][c]*alpha;
D[r][c]=sum+C[r][c]*beta;
}
}
template<> inline void GEMM2<2>(const unsigned int &Arows,const unsigned int &Brows, const unsigned int &Bcols, const vpMatrix & A,const vpMatrix & B, const double & alpha, const vpMatrix & C , const double &beta, vpMatrix &D){
for(unsigned int r=0;r<Arows;r++)
for(unsigned int c=0;c<Bcols;c++){
double sum=0;
for(unsigned int n=0;n<Brows;n++)
sum+=A[r][n]*B[c][n]*alpha;
D[r][c]=sum+C[r][c]*beta;
}
}
template<> inline void GEMM2<3>(const unsigned int &Arows,const unsigned int &Brows, const unsigned int &Bcols, const vpMatrix & A,const vpMatrix & B, const double & alpha, const vpMatrix & C , const double &beta, vpMatrix &D){
for(unsigned int r=0;r<Arows;r++)
for(unsigned int c=0;c<Bcols;c++){
double sum=0;
for(unsigned int n=0;n<Brows;n++)
sum+=A[n][r]*B[c][n]*alpha;
D[r][c]=sum+C[r][c]*beta;
}
}
template<> inline void GEMM2<4>(const unsigned int &Arows,const unsigned int &Brows, const unsigned int &Bcols, const vpMatrix & A,const vpMatrix & B, const double & alpha, const vpMatrix & C , const double &beta, vpMatrix &D){
for(unsigned int r=0;r<Arows;r++)
for(unsigned int c=0;c<Bcols;c++){
double sum=0;
for(unsigned int n=0;n<Brows;n++)
sum+=A[r][n]*B[n][c]*alpha;
D[r][c]=sum+C[c][r]*beta;
}
}
template<> inline void GEMM2<5>(const unsigned int &Arows,const unsigned int &Brows, const unsigned int &Bcols, const vpMatrix & A,const vpMatrix & B, const double & alpha, const vpMatrix & C , const double &beta, vpMatrix &D){
for(unsigned int r=0;r<Arows;r++)
for(unsigned int c=0;c<Bcols;c++){
double sum=0;
for(unsigned int n=0;n<Brows;n++)
sum+=A[n][r]*B[n][c]*alpha;
D[r][c]=sum+C[c][r]*beta;
}
}
template<> inline void GEMM2<6>(const unsigned int &Arows,const unsigned int &Brows, const unsigned int &Bcols, const vpMatrix & A,const vpMatrix & B, const double & alpha, const vpMatrix & C , const double &beta, vpMatrix &D){
for(unsigned int r=0;r<Arows;r++)
for(unsigned int c=0;c<Bcols;c++){
double sum=0;
for(unsigned int n=0;n<Brows;n++)
sum+=A[r][n]*B[c][n]*alpha;
D[r][c]=sum+C[c][r]*beta;
}
}
template<> inline void GEMM2<7>(const unsigned int &Arows,const unsigned int &Brows, const unsigned int &Bcols, const vpMatrix & A,const vpMatrix & B, const double & alpha, const vpMatrix & C , const double &beta, vpMatrix &D){
//vpMatrix &D = *dynamic_cast<double***>(Dptr);
for(unsigned int r=0;r<Arows;r++)
for(unsigned int c=0;c<Bcols;c++){
double sum=0;
for(unsigned int n=0;n<Brows;n++)
sum+=A[n][r]*B[c][n]*alpha;
D[r][c]=sum+C[c][r]*beta;
}
}
template<unsigned int T> inline void vpTGEMM(const vpMatrix & A,const vpMatrix & B, const double & alpha ,const vpMatrix & C, const double & beta, vpMatrix & D){
unsigned int Arows;
unsigned int Acols;
unsigned int Brows;
unsigned int Bcols;
// std::cout << T << std::endl;
GEMMsize<T>(A,B,Arows,Acols,Brows,Bcols);
// std::cout << Arows<<" " <<Acols << " "<< Brows << " "<< Bcols<<std::endl;
try
{
if ((Arows != D.getRows()) || (Bcols != D.getCols())) D.resize(Arows,Bcols);
}
catch(vpException me)
{
vpERROR_TRACE("Error caught") ;
std::cout << me << std::endl ;
throw ;
}
if (Acols != Brows)
{
vpERROR_TRACE("\n\t\tvpMatrix mismatch size in vpGEMM") ;
throw(vpMatrixException(vpMatrixException::incorrectMatrixSizeError,"\n\t\tvpMatrix mismatch size in vpGEMM")) ;
}
if(C.getRows()!=0 && C.getCols()!=0){
if ((Arows != C.getRows()) || (Bcols != C.getCols()))
{
vpERROR_TRACE("\n\t\tvpMatrix mismatch size in vpGEMM") ;
throw(vpMatrixException(vpMatrixException::incorrectMatrixSizeError,"\n\t\tvpMatrix mismatch size in vpGEMM")) ;
}
GEMM2<T>(Arows,Brows,Bcols,A,B,alpha,C,beta,D);
}else{
GEMM1<T>(Arows,Brows,Bcols,A,B,alpha,D);
}
}
/*!
\brief This function performs generalized matrix multiplication:
D = alpha*op(A)*op(B) + beta*op(C), where op(X) is X or X^T.
Operation on A, B and C matrices is described by enumeration vpGEMMmethod.
For example, to compute alpha*A^T*B^T+beta*C we need to call :
\code
vpGEMM(A,B,alpha,C,beta, VP_GEMM_A_T + VP_GEMM_B_T);
\endcode
If C is not used, vpGEMM must be called using an empty matrix \e null :
\code
vpGEMM(A,B,alpha,C, null,0);
\endcode
\throw vpMatrixException::incorrectMatrixSizeError if the sizes of the matrices
do not allow the operations.
\param A : a Matrix
\param B : a Matrix
\param alpha : a scalar
\param C : a Matrix
\param beta : a scalar
\param D : a Matrix
\param ops : a scalar describing operation applied on the matrices
\relates vpMatrix
*/
inline void vpGEMM(const vpMatrix & A,const vpMatrix & B, const double & alpha ,const vpMatrix & C, const double & beta, vpMatrix & D, const unsigned int &ops=0){
switch(ops){
case 0 :
vpTGEMM<0>( A, B, alpha , C, beta, D);
break;
case 1 :
vpTGEMM<1>( A, B, alpha , C, beta, D);
break;
case 2 :
vpTGEMM<2>( A, B, alpha , C, beta, D);
break;
case 3 :
vpTGEMM<3>( A, B, alpha , C, beta, D);
break;
case 4 :
vpTGEMM<4>( A, B, alpha , C, beta, D);
break;
case 5 :
vpTGEMM<5>( A, B, alpha , C, beta, D);
break;
case 6 :
vpTGEMM<6>( A, B, alpha , C, beta, D);
break;
case 7 :
vpTGEMM<7>( A, B, alpha , C, beta, D);
break;
default:
vpERROR_TRACE("\n\t\tvpMatrix mismatch operation in vpGEMM") ;
throw(vpMatrixException(vpMatrixException::incorrectMatrixSizeError,"\n\t\tvpMatrix mismatch operation in vpGEMM")) ;
break;
}
}
#endif
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