blas2++.cc

完全使用C++写的高效线性代数运算库！还提供了矩阵类。

//
//              LAPACK++ 1.1 Linear Algebra Package 1.1
//               University of Tennessee, Knoxvilee, TN.
//            Oak Ridge National Laboratory, Oak Ridge, TN.
//        Authors: J. J. Dongarra, E. Greaser, R. Pozo, D. Walker
//                 (C) 1992-1996 All Rights Reserved
//
//                             NOTICE
//
// Permission to use, copy, modify, and distribute this software and
// its documentation for any purpose and without fee is hereby granted
// provided that the above copyright notice appear in all copies and
// that both the copyright notice and this permission notice appear in
// supporting documentation.
//
// Neither the Institutions (University of Tennessee, and Oak Ridge National
// Laboratory) nor the Authors make any representations about the suitability 
// of this software for any purpose.  This software is provided ``as is'' 
// without express or implied warranty.
//
// LAPACK++ was funded in part by the U.S. Department of Energy, the
// National Science Foundation and the State of Tennessee.


#include "lafnames.h"
#include LA_VECTOR_DOUBLE_H
#include LA_SYMM_MAT_DOUBLE_H
#include LA_UNIT_UPPER_TRIANG_MAT_DOUBLE_H
#include LA_UPPER_TRIANG_MAT_DOUBLE_H
#include LA_UNIT_LOWER_TRIANG_MAT_DOUBLE_H
#include LA_LOWER_TRIANG_MAT_DOUBLE_H
#include LA_SPD_MAT_DOUBLE_H
#include LA_SYMM_BAND_MAT_DOUBLE_H
#include LA_TRIDIAG_MAT_DOUBLE_H

#include "blas2++.h"

void Blas_Mat_Trans_Vec_Mult(LaGenMatDouble &A, LaVectorDouble &dx,
            LaVectorDouble &dy, double alpha, double beta)
{
    char trans = 'T';
    integer M = A.size(0), N = A.size(1), lda = A.gdim(0),
        incx = dx.inc(), incy = dy.inc();


    F77NAME(dgemv)(&trans, &M, &N, &alpha, &A(0,0), &lda, &dx(0), &incx,
                    &beta, &dy(0), &incy);

}

void Blas_Mat_Vec_Mult(LaGenMatDouble &A, LaVectorDouble &dx,
            LaVectorDouble &dy, double alpha , double beta )
{
    char trans = 'N';
    integer M = A.size(0), N = A.size(1), lda = A.gdim(0),
        incx = dx.inc(), incy = dy.inc();


    F77NAME(dgemv)(&trans, &M, &N, &alpha, &A(0,0), &lda, &dx(0), &incx,
                    &beta, &dy(0), &incy);

}

void Blas_Mat_Vec_Mult(LaSymmBandMatDouble &A, LaVectorDouble &dx, 
            LaVectorDouble &dy, double alpha , double beta )
{
    char uplo = 'L';
    integer N = A.size(1), lda = A.gdim(0),
        k = A.subdiags(), incx = dx.inc(), incy = dy.inc();


    F77NAME(dsbmv)(&uplo, &N, &k, &alpha, &A(0,0), &lda, &dx(0), &incx,
                   &beta, &dy(0), &incy);

}


void Blas_Mat_Vec_Mult(LaSpdMatDouble &AP, LaVectorDouble &dx, 
            LaVectorDouble &dy, double alpha , double beta )
{
    char uplo = 'L';
    integer N = AP.size(1), incx = dx.inc(), incy = dy.inc();

    F77NAME(dspmv)(&uplo, &N, &alpha, &AP(0,0), &dx(0), &incx, &beta, 
                   &dy(0), &incy);

}



void Blas_Mat_Vec_Mult(LaLowerTriangMatDouble &A, LaVectorDouble &dx)
{
    char uplo = 'L', trans = 'N', diag = 'N';
    integer N = A.size(1), lda = A.gdim(0),
        incx = dx.inc();


    F77NAME(dtrmv)(&uplo, &trans, &diag, &N, &A(0,0), &lda, &dx(0), &incx);

}



void Blas_Mat_Vec_Mult(LaUpperTriangMatDouble &A, LaVectorDouble &dx)
{
    char uplo = 'U', trans = 'N', diag = 'N';
    integer N = A.size(1), lda = A.gdim(0),
        incx = dx.inc();


    F77NAME(dtrmv)(&uplo, &trans, &diag, &N, &A(0,0), &lda, &dx(0), &incx);

}



void Blas_Mat_Vec_Mult(LaUnitLowerTriangMatDouble &A, 
                                LaVectorDouble &dx)
{
    char uplo = 'L', trans = 'N', diag = 'U';
    integer N = A.size(1), lda = A.gdim(0),
        incx = dx.inc();


    F77NAME(dtrmv)(&uplo, &trans, &diag, &N, &A(0,0), &lda, &dx(0), &incx);

}



void Blas_Mat_Vec_Mult(LaUnitUpperTriangMatDouble &A, 
                                LaVectorDouble &dx)
{
    char uplo = 'U', trans = 'N', diag = 'U';
    integer N = A.size(1), lda = A.gdim(0),
        incx = dx.inc();


    F77NAME(dtrmv)(&uplo, &trans, &diag, &N, &A(0,0), &lda, &dx(0), &incx);

}


void Blas_Mat_Vec_Solve(LaLowerTriangMatDouble &A, LaVectorDouble &dx)
{
    char uplo = 'L', trans = 'N', diag = 'N';
    integer N = A.size(1), lda = A.gdim(0),
        incx = dx.inc();


    F77NAME(dtrsv)(&uplo, &trans, &diag, &N, &A(0,0), &lda, &dx(0), &incx);

}


void Blas_Mat_Vec_Solve(LaUpperTriangMatDouble &A, LaVectorDouble &dx)
{
    char uplo = 'U', trans = 'N', diag = 'N';
    integer N = A.size(1), lda = A.gdim(0),
        incx = dx.inc();


    F77NAME(dtrsv)(&uplo, &trans, &diag, &N, &A(0,0), &lda, &dx(0), &incx);

}


void Blas_Mat_Vec_Solve(LaUnitLowerTriangMatDouble &A, 
                                LaVectorDouble &dx)
{
    char uplo = 'L', trans = 'N', diag = 'U';
    integer N = A.size(1), lda = A.gdim(0),
        incx = dx.inc();


    F77NAME(dtrsv)(&uplo, &trans, &diag, &N, &A(0,0), &lda, &dx(0), &incx);

}


void Blas_Mat_Vec_Solve(LaUnitUpperTriangMatDouble &A, 
                                LaVectorDouble &dx)
{
    char uplo = 'U', trans = 'N', diag = 'U';
    integer N = A.size(1), lda = A.gdim(0),
        incx = dx.inc();


    F77NAME(dtrsv)(&uplo, &trans, &diag, &N, &A(0,0), &lda, &dx(0), &incx);

}


void Blas_R1_Update(LaGenMatDouble &A, LaVectorDouble &dx, 
                LaVectorDouble &dy, double alpha )
{
    integer M = A.size(0), N = A.size(1), lda = A.gdim(0),
        incx = dx.inc(), incy = dy.inc();


    F77NAME(dger)(&M, &N, &alpha, &dx(0), &incx, &dy(0), &incy, 
                  &A(0,0), &lda);

}


void Blas_R1_Update(LaSymmMatDouble &A, LaVectorDouble &dx,
                double alpha )
{
    char uplo = 'L';
    integer N = A.size(1), lda = A.gdim(0),
        incx = dx.inc();


    F77NAME(dsyr)(&uplo, &N, &alpha, &dx(0), &incx, &A(0,0), &lda);

}


void Blas_R1_Update(LaSpdMatDouble &AP, LaVectorDouble &dx,
                double alpha )
{
    char uplo = 'L';
    integer N = AP.size(1),
        incx = dx.inc();


    F77NAME(dspr)(&uplo, &N, &alpha, &dx(0), &incx, &AP(0,0));

}



 void Blas_R2_Update(LaSymmMatDouble &A, LaVectorDouble &dx, 
                LaVectorDouble &dy, double alpha )
{
    char uplo = 'L';
    integer N = A.size(1), lda = A.gdim(0),
        incx = dx.inc(), incy = dy.inc();


    F77NAME(dsyr2)(&uplo, &N, &alpha, &dx(0), &incx, &dy(0), &incy, 
                  &A(0,0), &lda);

}


 void Blas_R2_Update(LaSpdMatDouble &AP, LaVectorDouble &dx, 
                LaVectorDouble &dy, double alpha )
{
    char uplo = 'L';
    integer N = AP.size(1), incx = dx.inc(), incy = dy.inc();


    F77NAME(dspr2)(&uplo, &N, &alpha, &dx(0), &incx, &dy(0), &incy,
                  &AP(0,0));

}