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#include "ltfat.h"
#include "ltfat_types.h"
#ifdef LTFAT_DOUBLE
#define LTFAT_POSV F77_FUNC(zposv,ZPOSV)
#define LTFAT_GESVD F77_FUNC(zgesvd,ZGESVD)
#define LTFAT_clapack_posv clapack_zposv
#define LTFAT_GEMM F77_FUNC (zgemm, ZGEMM)
#define LTFAT_cblas_gemm cblas_zgemm
#endif
#ifdef LTFAT_SINGLE
#define LTFAT_POSV F77_FUNC(cposv,CPOSV)
#define LTFAT_GESVD F77_FUNC(cgesvd,CGESVD)
#define LTFAT_clapack_posv clapack_cposv
#define LTFAT_GEMM F77_FUNC (cgemm, CGEMM)
#define LTFAT_cblas_gemm cblas_cgemm
#endif
/* Use the LAPACK library supplied with ATLAS */
#ifdef HAVE_ATLASLAPACK
#include "clapack.h"
#endif /* end of HAVE_ATLASLAPACK */
/* Call Fortran LAPACK */
#ifdef HAVE_LAPACK
#include "f77-fcn.h"
#ifdef __cplusplus
extern "C" {
#endif
F77_RET_T
LTFAT_POSV (F77_CONST_CHAR_ARG_DECL uplo,
const ptrdiff_t *n, const ptrdiff_t *nrhs,
const LTFAT_REAL *a, const ptrdiff_t *lda,
LTFAT_REAL *b, const ptrdiff_t *ldb,
ptrdiff_t *info
F77_CHAR_ARG_LEN_DECL);
F77_RET_T
LTFAT_GESVD (F77_CONST_CHAR_ARG_DECL jobu,
F77_CONST_CHAR_ARG_DECL jobvt,
const ptrdiff_t *M, const ptrdiff_t *N,
LTFAT_REAL* A, const ptrdiff_t *lda,
LTFAT_REAL *S, LTFAT_REAL* U, const ptrdiff_t *ldu,
LTFAT_REAL *VT, const ptrdiff_t *ldvt, LTFAT_REAL *work,
const ptrdiff_t *lwork,
LTFAT_REAL *rwork, ptrdiff_t *info
F77_CHAR_ARG_LEN_DECL
F77_CHAR_ARG_LEN_DECL);
#ifdef __cplusplus
}
#endif
#endif /* end of HAVE_LAPACK */
/* Call Fortran BLAS */
#ifdef HAVE_BLAS
#include "f77-fcn.h"
#ifdef __cplusplus
extern "C" {
#endif
F77_RET_T
LTFAT_GEMM (F77_CONST_CHAR_ARG_DECL TransA,
F77_CONST_CHAR_ARG_DECL TransB,
const ptrdiff_t *M, const ptrdiff_t *N,
const ptrdiff_t *K,
const LTFAT_COMPLEX *alpha,
const LTFAT_COMPLEX *a, const ptrdiff_t *lda,
const LTFAT_COMPLEX *b, const ptrdiff_t *ldb,
const LTFAT_COMPLEX *beta,
LTFAT_COMPLEX *c,
const ptrdiff_t *ldc
F77_CHAR_ARG_LEN_DECL
F77_CHAR_ARG_LEN_DECL);
#ifdef __cplusplus
}
#endif
#endif /* end of HAVE_BLAS */
/* ----- Compute Cholesky factorization ------------
*
* For simplification, the interface assumes that we
* are using column-major format and storing the upper
* triangle
*/
ltfatInt LTFAT_NAME(ltfat_posv)(const ptrdiff_t N, const ptrdiff_t NRHS,
LTFAT_COMPLEX *A, const ptrdiff_t lda,
LTFAT_COMPLEX *B, const ptrdiff_t ldb)
#ifdef HAVE_CBLASLAPACK
{
return LTFAT_clapack_posv(CblasColMajor, CblasUpper, N, NRHS, (LTFAT_REAL*)A, lda,
(LTFAT_REAL*)B, ldb);
}
#endif
#ifdef HAVE_LAPACK
{
ptrdiff_t info;
char u;
u = 'U';
LTFAT_POSV (F77_CONST_CHAR_ARG2 (&u, 1),
&N, &NRHS, (LTFAT_REAL*)A, &lda,
(LTFAT_REAL*)B, &ldb,
&info
F77_CHAR_ARG_LEN (1)
);
return info;
}
#endif
/* ----- Compute SVD factorization ------------ */
ltfatInt LTFAT_NAME(ltfat_gesvd)(const ptrdiff_t M, const ptrdiff_t N,
LTFAT_COMPLEX *A, const ptrdiff_t lda,
LTFAT_REAL *S, LTFAT_COMPLEX *U, const ptrdiff_t ldu,
LTFAT_COMPLEX *VT, const ptrdiff_t ldvt)
#ifdef HAVE_LAPACK
{
ptrdiff_t lwork, info, maxMN;
LTFAT_REAL workquery[2];
LTFAT_REAL *rwork, *work;
char jobu;
char jobvt;
/* Set constants to declare thin SVD */
jobu = 'S';
jobvt = 'S';
maxMN = M > N ? M : N;
/* Allocate workspace */
rwork = (LTFAT_REAL*)ltfat_malloc(5*maxMN*sizeof(LTFAT_REAL));
/* Ask ZGESVD what the dimension of WORK should be. */
lwork = -1;
LTFAT_GESVD (F77_CONST_CHAR_ARG2 (&jobu, 1),
F77_CONST_CHAR_ARG2 (&jobvt, 1),
&M, &N, (LTFAT_REAL*)A, &lda, S, (LTFAT_REAL*)U,
&ldu, (LTFAT_REAL*)VT,
&ldvt, (LTFAT_REAL*)(&workquery), &lwork,
rwork, &info
F77_CHAR_ARG_LEN (1)
F77_CHAR_ARG_LEN (1));
/* Get the result from real part of work */
lwork = (ptrdiff_t)(workquery[0]);
/* Allocate more workspace */
work = (LTFAT_REAL*)ltfat_malloc(lwork*sizeof(LTFAT_COMPLEX));
/* Call the function for real this time */
LTFAT_GESVD (F77_CONST_CHAR_ARG2 (&jobu, 1),
F77_CONST_CHAR_ARG2 (&jobvt, 1),
&M, &N, (LTFAT_REAL*)A, &lda, S,
(LTFAT_REAL*)U, &ldu, (LTFAT_REAL*)VT,
&ldvt, work, &lwork,
rwork, &info
F77_CHAR_ARG_LEN (1)
F77_CHAR_ARG_LEN (1));
/* Free workspace */
ltfat_free(rwork);
ltfat_free(work);
return info;
}
#endif /* End of HAVE_LAPACK */
void LTFAT_NAME(ltfat_gemm)(const enum CBLAS_TRANSPOSE TransA,
const enum CBLAS_TRANSPOSE TransB,
const ptrdiff_t M, const ptrdiff_t N, const ptrdiff_t K,
const LTFAT_COMPLEX *alpha,
const LTFAT_COMPLEX *A, const ptrdiff_t lda,
const LTFAT_COMPLEX *B, const ptrdiff_t ldb,
const LTFAT_COMPLEX *beta,
LTFAT_COMPLEX *C, const ptrdiff_t ldc)
#ifdef HAVE_CBLAS
{
LTFAT_cblas_gemm(CblasColMajor, TransA, TransB, M, N, K,
(LTFAT_REAL*)alpha, (LTFAT_REAL*)A, lda, (LTFAT_REAL*)B, ldb,
(LTFAT_REAL*)beta, (LTFAT_REAL*)C, ldc);
}
#endif
#ifdef HAVE_BLAS
{
char ca, cb;
if (TransA == CblasNoTrans) ca='N';
if (TransA == CblasConjTrans) ca='C';
if (TransB == CblasNoTrans) cb='N';
if (TransB == CblasConjTrans) cb='C';
LTFAT_GEMM (F77_CONST_CHAR_ARG2 (&ca, 1),
F77_CONST_CHAR_ARG2 (&cb, 1),
&M, &N, &K,
alpha,
A, &lda,
B, &ldb,
beta, C, &ldc
F77_CHAR_ARG_LEN (1)
F77_CHAR_ARG_LEN (1)
);
}
#endif /* end of HAVE_BLAS */
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