/*
Compute the symmetric rank-1 update A = \alpha x x^T + A of the
symmetric matrix A. Since the matrix A is symmetric only its upper
half or lower half need to be stored. When Uplo is CblasUpper then the
upper triangle and diagonal of A are used, and when Uplo is CblasLower
then the lower triangle and diagonal of A are used.
*/
int fff_blas_dsyr (CBLAS_UPLO_t Uplo, double alpha, const fff_vector * x, fff_matrix * A)
{
char* uplo = SWAP_UPLO(Uplo);
int incx = (int) x->stride;
int n = (int) A->size1;
int lda = (int) A->tda;
return( FNAME(dsyr)(uplo, &n,
&alpha,
x->data, &incx,
A->data, &lda ) );
}
/*
Compute inv(op(A)) x for x, where op(A) = A, A^T, A^H for TransA =
CblasNoTrans, CblasTrans, CblasConjTrans. When Uplo is CblasUpper then
the upper triangle of A is used, and when Uplo is CblasLower then the
lower triangle of A is used. If Diag is CblasNonUnit then the diagonal
of the matrix is used, but if Diag is CblasUnit then the diagonal
elements of the matrix A are taken as unity and are not referenced.
*/
int fff_blas_dtrsv (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t TransA, CBLAS_DIAG_t Diag,
const fff_matrix * A, fff_vector * x)
{
char* uplo = SWAP_UPLO(Uplo);
char* trans = SWAP_TRANS(TransA);
char* diag = DIAG(Diag);
int incx = (int) x->stride;
int n = (int) A->size1;
int lda = (int) A->tda;
return( FNAME(dtrsv)(uplo, trans, diag, &n,
A->data, &lda,
x->data, &incx) );
}
/*
Compute the symmetric rank-1 update A = \alpha x x^T + A of the
symmetric matrix A. Since the matrix A is symmetric only its upper
half or lower half need to be stored. When Uplo is CblasUpper then the
upper triangle and diagonal of A are used, and when Uplo is CblasLower
then the lower triangle and diagonal of A are used.
*/
int fff_blas_dsyr (CBLAS_UPLO_t Uplo, double alpha, const fff_vector * x, fff_matrix * A)
{
char* uplo = SWAP_UPLO(Uplo);
int incx = (int) x->stride;
int n = (int) A->size1;
int lda = (int) A->tda;
int (*dsyr)(char *uplo, int* n, double* alpha,
double* x, int* incx, double* a, int* lda);
dsyr = fff_blas_func[FFF_BLAS_DSYR];
return( (*dsyr)(uplo, &n,
&alpha,
x->data, &incx,
A->data, &lda ) );
}
/*
Compute a rank-k update of the symmetric matrix C, C = \alpha A A^T +
\beta C when Trans is CblasNoTrans and C = \alpha A^T A + \beta C when
Trans is CblasTrans. Since the matrix C is symmetric only its upper
half or lower half need to be stored. When Uplo is CblasUpper then the
upper triangle and diagonal of C are used, and when Uplo is CblasLower
then the lower triangle and diagonal of C are used.
*/
int fff_blas_dsyrk (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t Trans,
double alpha, const fff_matrix * A, double beta, fff_matrix * C)
{
char* uplo = SWAP_UPLO(Uplo);
char* trans = SWAP_TRANS(Trans);
int n = C->size1;
int k = (Trans == CblasNoTrans) ? (int)A->size1 : (int)A->size2;
int lda = (int) A->tda;
int ldc = (int) C->tda;
return( FNAME(dsyrk)(uplo, trans, &n, &k,
&alpha,
A->data, &lda,
&beta,
C->data, &ldc) );
}
int fff_blas_dsymv (CBLAS_UPLO_t Uplo,
double alpha, const fff_matrix * A,
const fff_vector * x, double beta, fff_vector * y)
{
char* uplo = SWAP_UPLO(Uplo);
int incx = (int) x->stride;
int incy = (int) y->stride;
int n = (int) A->size1;
int lda = (int) A->tda;
return( FNAME(dsymv)(uplo, &n,
&alpha,
A->data, &lda,
x->data, &incx,
&beta,
y->data, &incy) );
}
/*
Compute inv(op(A)) x for x, where op(A) = A, A^T, A^H for TransA =
CblasNoTrans, CblasTrans, CblasConjTrans. When Uplo is CblasUpper then
the upper triangle of A is used, and when Uplo is CblasLower then the
lower triangle of A is used. If Diag is CblasNonUnit then the diagonal
of the matrix is used, but if Diag is CblasUnit then the diagonal
elements of the matrix A are taken as unity and are not referenced.
*/
int fff_blas_dtrsv (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t TransA, CBLAS_DIAG_t Diag,
const fff_matrix * A, fff_vector * x)
{
char* uplo = SWAP_UPLO(Uplo);
char* trans = SWAP_TRANS(TransA);
char* diag = DIAG(Diag);
int incx = (int) x->stride;
int n = (int) A->size1;
int lda = (int) A->tda;
int (*dtrsv)(char *uplo, char *trans, char *diag, int* n,
double* a, int* lda, double* x, int* incx);
dtrsv = fff_blas_func[FFF_BLAS_DTRSV];
return( (*dtrsv)(uplo, trans, diag, &n,
A->data, &lda,
x->data, &incx) );
}
/*
Compute the inverse-matrix matrix product B = \alpha op(inv(A))B for
Side is CblasLeft and B = \alpha B op(inv(A)) for Side is
CblasRight. The matrix A is triangular and op(A) = A, A^T, A^H for
TransA = CblasNoTrans, CblasTrans, CblasConjTrans. When Uplo is
CblasUpper then the upper triangle of A is used, and when Uplo is
CblasLower then the lower triangle of A is used. If Diag is
CblasNonUnit then the diagonal of A is used, but if Diag is CblasUnit
then the diagonal elements of the matrix A are taken as unity and are
not referenced.
*/
int fff_blas_dtrsm (CBLAS_SIDE_t Side, CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t TransA, CBLAS_DIAG_t Diag,
double alpha, const fff_matrix * A, fff_matrix * B)
{
char* side = SWAP_SIDE(Side);
char* uplo = SWAP_UPLO(Uplo);
char* transa = TRANS(TransA);
char* diag = DIAG(Diag);
int m = B->size2;
int n = B->size1;
int lda = (int) A->tda;
int ldb = (int) B->tda;
return( FNAME(dtrsm)(side, uplo, transa, diag, &m, &n,
&alpha,
A->data, &lda,
B->data, &ldb) );
}
/*
Compute the matrix-matrix product and sum C = \alpha A B + \beta C for
Side is CblasLeft and C = \alpha B A + \beta C for Side is CblasRight,
where the matrix A is symmetric. When Uplo is CblasUpper then the
upper triangle and diagonal of A are used, and when Uplo is CblasLower
then the lower triangle and diagonal of A are used.
*/
int fff_blas_dsymm (CBLAS_SIDE_t Side, CBLAS_UPLO_t Uplo,
double alpha, const fff_matrix * A, const fff_matrix * B, double beta, fff_matrix * C)
{
char* side = SWAP_SIDE(Side);
char* uplo = SWAP_UPLO(Uplo);
int m = C->size2;
int n = C->size1;
int lda = (int) A->tda;
int ldb = (int) B->tda;
int ldc = (int) C->tda;
return ( FNAME(dsymm)(side, uplo, &m, &n,
&alpha,
A->data, &lda,
B->data, &ldb,
&beta,
C->data, &ldc) );
}
/*
Compute a rank-k update of the symmetric matrix C, C = \alpha A A^T +
\beta C when Trans is CblasNoTrans and C = \alpha A^T A + \beta C when
Trans is CblasTrans. Since the matrix C is symmetric only its upper
half or lower half need to be stored. When Uplo is CblasUpper then the
upper triangle and diagonal of C are used, and when Uplo is CblasLower
then the lower triangle and diagonal of C are used.
*/
int fff_blas_dsyrk (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t Trans,
double alpha, const fff_matrix * A, double beta, fff_matrix * C)
{
char* uplo = SWAP_UPLO(Uplo);
char* trans = SWAP_TRANS(Trans);
int n = C->size1;
int k = (Trans == CblasNoTrans) ? (int)A->size1 : (int)A->size2;
int lda = (int) A->tda;
int ldc = (int) C->tda;
int (*dsyrk)(char *uplo, char *trans, int* n, int* k,
double* alpha, double* a, int* lda, double* beta,
double* c__, int* ldc);
dsyrk = fff_blas_func[FFF_BLAS_DSYRK];
return( (*dsyrk)(uplo, trans, &n, &k,
&alpha,
A->data, &lda,
&beta,
C->data, &ldc) );
}
/*
Compute the matrix-vector product and sum y = \alpha A x + \beta y for
the symmetric matrix A. Since the matrix A is symmetric only its upper
half or lower half need to be stored. When Uplo is CblasUpper then the
upper triangle and diagonal of A are used, and when Uplo is CblasLower
then the lower triangle and diagonal of A are used.
*/
int fff_blas_dsymv (CBLAS_UPLO_t Uplo,
double alpha, const fff_matrix * A,
const fff_vector * x, double beta, fff_vector * y)
{
char* uplo = SWAP_UPLO(Uplo);
int incx = (int) x->stride;
int incy = (int) y->stride;
int n = (int) A->size1;
int lda = (int) A->tda;
int (*dsymv)(char *uplo, int* n, double* alpha,
double* a, int* lda, double* x, int* incx, double
*beta, double* y, int* incy);
dsymv = fff_blas_func[FFF_BLAS_DSYMV];
return( (*dsymv)(uplo, &n,
&alpha,
A->data, &lda,
x->data, &incx,
&beta,
y->data, &incy) );
}
/*
Compute the inverse-matrix matrix product B = \alpha op(inv(A))B for
Side is CblasLeft and B = \alpha B op(inv(A)) for Side is
CblasRight. The matrix A is triangular and op(A) = A, A^T, A^H for
TransA = CblasNoTrans, CblasTrans, CblasConjTrans. When Uplo is
CblasUpper then the upper triangle of A is used, and when Uplo is
CblasLower then the lower triangle of A is used. If Diag is
CblasNonUnit then the diagonal of A is used, but if Diag is CblasUnit
then the diagonal elements of the matrix A are taken as unity and are
not referenced.
*/
int fff_blas_dtrsm (CBLAS_SIDE_t Side, CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t TransA, CBLAS_DIAG_t Diag,
double alpha, const fff_matrix * A, fff_matrix * B)
{
char* side = SWAP_SIDE(Side);
char* uplo = SWAP_UPLO(Uplo);
char* transa = TRANS(TransA);
char* diag = DIAG(Diag);
int m = B->size2;
int n = B->size1;
int lda = (int) A->tda;
int ldb = (int) B->tda;
int (*dtrsm)(char *side, char *uplo, char *transa, char *diag,
int* m, int* n, double* alpha, double* a, int*
lda, double* b, int* ldb);
dtrsm = fff_blas_func[FFF_BLAS_DTRSM];
return( (*dtrsm)(side, uplo, transa, diag, &m, &n,
&alpha,
A->data, &lda,
B->data, &ldb) );
}
/*
Compute the matrix-matrix product and sum C = \alpha A B + \beta C for
Side is CblasLeft and C = \alpha B A + \beta C for Side is CblasRight,
where the matrix A is symmetric. When Uplo is CblasUpper then the
upper triangle and diagonal of A are used, and when Uplo is CblasLower
then the lower triangle and diagonal of A are used.
*/
int fff_blas_dsymm (CBLAS_SIDE_t Side, CBLAS_UPLO_t Uplo,
double alpha, const fff_matrix * A, const fff_matrix * B, double beta, fff_matrix * C)
{
char* side = SWAP_SIDE(Side);
char* uplo = SWAP_UPLO(Uplo);
int m = C->size2;
int n = C->size1;
int lda = (int) A->tda;
int ldb = (int) B->tda;
int ldc = (int) C->tda;
int (*dsymm)(char *side, char *uplo, int* m, int* n,
double* alpha, double* a, int* lda, double* b,
int* ldb, double* beta, double* c__, int* ldc);
dsymm = fff_blas_func[FFF_BLAS_DSYMM];
return ( (*dsymm)(side, uplo, &m, &n,
&alpha,
A->data, &lda,
B->data, &ldb,
&beta,
C->data, &ldc) );
}