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#ifndef TH_GENERIC_FILE
#define TH_GENERIC_FILE "generic/THLapack.c"
#else
TH_EXTERNC void dgesv_(int *n, int *nrhs, double *a, int *lda, int *ipiv, double *b, int *ldb, int *info);
TH_EXTERNC void sgesv_(int *n, int *nrhs, float *a, int *lda, int *ipiv, float *b, int *ldb, int *info);
TH_EXTERNC void dtrtrs_(char *uplo, char *trans, char *diag, int *n, int *nrhs, double *a, int *lda, double *b, int *ldb, int *info);
TH_EXTERNC void strtrs_(char *uplo, char *trans, char *diag, int *n, int *nrhs, float *a, int *lda, float *b, int *ldb, int *info);
TH_EXTERNC void dgels_(char *trans, int *m, int *n, int *nrhs, double *a, int *lda, double *b, int *ldb, double *work, int *lwork, int *info);
TH_EXTERNC void sgels_(char *trans, int *m, int *n, int *nrhs, float *a, int *lda, float *b, int *ldb, float *work, int *lwork, int *info);
TH_EXTERNC void dsyev_(char *jobz, char *uplo, int *n, double *a, int *lda, double *w, double *work, int *lwork, int *info);
TH_EXTERNC void ssyev_(char *jobz, char *uplo, int *n, float *a, int *lda, float *w, float *work, int *lwork, int *info);
TH_EXTERNC void dgeev_(char *jobvl, char *jobvr, int *n, double *a, int *lda, double *wr, double *wi, double* vl, int *ldvl, double *vr, int *ldvr, double *work, int *lwork, int *info);
TH_EXTERNC void sgeev_(char *jobvl, char *jobvr, int *n, float *a, int *lda, float *wr, float *wi, float* vl, int *ldvl, float *vr, int *ldvr, float *work, int *lwork, int *info);
TH_EXTERNC void dgesvd_(char *jobu, char *jobvt, int *m, int *n, double *a, int *lda, double *s, double *u, int *ldu, double *vt, int *ldvt, double *work, int *lwork, int *info);
TH_EXTERNC void sgesvd_(char *jobu, char *jobvt, int *m, int *n, float *a, int *lda, float *s, float *u, int *ldu, float *vt, int *ldvt, float *work, int *lwork, int *info);
TH_EXTERNC void dgetrf_(int *m, int *n, double *a, int *lda, int *ipiv, int *info);
TH_EXTERNC void sgetrf_(int *m, int *n, float *a, int *lda, int *ipiv, int *info);
TH_EXTERNC void dgetrs_(char *trans, int *n, int *nrhs, double *a, int *lda, int *ipiv, double *b, int *ldb, int *info);
TH_EXTERNC void sgetrs_(char *trans, int *n, int *nrhs, float *a, int *lda, int *ipiv, float *b, int *ldb, int *info);
TH_EXTERNC void dgetri_(int *n, double *a, int *lda, int *ipiv, double *work, int *lwork, int *info);
TH_EXTERNC void sgetri_(int *n, float *a, int *lda, int *ipiv, float *work, int *lwork, int *info);
TH_EXTERNC void dpotrf_(char *uplo, int *n, double *a, int *lda, int *info);
TH_EXTERNC void spotrf_(char *uplo, int *n, float *a, int *lda, int *info);
TH_EXTERNC void dpotri_(char *uplo, int *n, double *a, int *lda, int *info);
TH_EXTERNC void spotri_(char *uplo, int *n, float *a, int *lda, int *info);
TH_EXTERNC void dpotrs_(char *uplo, int *n, int *nrhs, double *a, int *lda, double *b, int *ldb, int *info);
TH_EXTERNC void spotrs_(char *uplo, int *n, int *nrhs, float *a, int *lda, float *b, int *ldb, int *info);
TH_EXTERNC void sgeqrf_(int *m, int *n, float *a, int *lda, float *tau, float *work, int *lwork, int *info);
TH_EXTERNC void dgeqrf_(int *m, int *n, double *a, int *lda, double *tau, double *work, int *lwork, int *info);
TH_EXTERNC void sorgqr_(int *m, int *n, int *k, float *a, int *lda, float *tau, float *work, int *lwork, int *info);
TH_EXTERNC void dorgqr_(int *m, int *n, int *k, double *a, int *lda, double *tau, double *work, int *lwork, int *info);
TH_EXTERNC void sormqr_(char *side, char *trans, int *m, int *n, int *k, float *a, int *lda, float *tau, float *c, int *ldc, float *work, int *lwork, int *info);
TH_EXTERNC void dormqr_(char *side, char *trans, int *m, int *n, int *k, double *a, int *lda, double *tau, double *c, int *ldc, double *work, int *lwork, int *info);
TH_EXTERNC void spstrf_(char *uplo, int *n, float *a, int *lda, int *piv, int *rank, float *tol, float *work, int *info);
TH_EXTERNC void dpstrf_(char *uplo, int *n, double *a, int *lda, int *piv, int *rank, double *tol, double *work, int *info);
/* Compute the solution to a real system of linear equations A * X = B */
void THLapack_(gesv)(int n, int nrhs, real *a, int lda, int *ipiv, real *b, int ldb, int* info)
{
#ifdef USE_LAPACK
#if defined(TH_REAL_IS_DOUBLE)
dgesv_(&n, &nrhs, a, &lda, ipiv, b, &ldb, info);
#else
sgesv_(&n, &nrhs, a, &lda, ipiv, b, &ldb, info);
#endif
#else
THError("gesv : Lapack library not found in compile time\n");
#endif
return;
}
/* Solve a triangular system of the form A * X = B or A^T * X = B */
void THLapack_(trtrs)(char uplo, char trans, char diag, int n, int nrhs, real *a, int lda, real *b, int ldb, int* info)
{
#ifdef USE_LAPACK
#if defined(TH_REAL_IS_DOUBLE)
dtrtrs_(&uplo, &trans, &diag, &n, &nrhs, a, &lda, b, &ldb, info);
#else
strtrs_(&uplo, &trans, &diag, &n, &nrhs, a, &lda, b, &ldb, info);
#endif
#else
THError("trtrs : Lapack library not found in compile time\n");
#endif
return;
}
/* Solve overdetermined or underdetermined real linear systems involving an
M-by-N matrix A, or its transpose, using a QR or LQ factorization of A */
void THLapack_(gels)(char trans, int m, int n, int nrhs, real *a, int lda, real *b, int ldb, real *work, int lwork, int *info)
{
#ifdef USE_LAPACK
#if defined(TH_REAL_IS_DOUBLE)
dgels_(&trans, &m, &n, &nrhs, a, &lda, b, &ldb, work, &lwork, info);
#else
sgels_(&trans, &m, &n, &nrhs, a, &lda, b, &ldb, work, &lwork, info);
#endif
#else
THError("gels : Lapack library not found in compile time\n");
#endif
}
/* Compute all eigenvalues and, optionally, eigenvectors of a real symmetric
matrix A */
void THLapack_(syev)(char jobz, char uplo, int n, real *a, int lda, real *w, real *work, int lwork, int *info)
{
#ifdef USE_LAPACK
#if defined(TH_REAL_IS_DOUBLE)
dsyev_(&jobz, &uplo, &n, a, &lda, w, work, &lwork, info);
#else
ssyev_(&jobz, &uplo, &n, a, &lda, w, work, &lwork, info);
#endif
#else
THError("syev : Lapack library not found in compile time\n");
#endif
}
/* Compute for an N-by-N real nonsymmetric matrix A, the eigenvalues and,
optionally, the left and/or right eigenvectors */
void THLapack_(geev)(char jobvl, char jobvr, int n, real *a, int lda, real *wr, real *wi, real* vl, int ldvl, real *vr, int ldvr, real *work, int lwork, int *info)
{
#ifdef USE_LAPACK
#if defined(TH_REAL_IS_DOUBLE)
dgeev_(&jobvl, &jobvr, &n, a, &lda, wr, wi, vl, &ldvl, vr, &ldvr, work, &lwork, info);
#else
sgeev_(&jobvl, &jobvr, &n, a, &lda, wr, wi, vl, &ldvl, vr, &ldvr, work, &lwork, info);
#endif
#else
THError("geev : Lapack library not found in compile time\n");
#endif
}
/* Compute the singular value decomposition (SVD) of a real M-by-N matrix A,
optionally computing the left and/or right singular vectors */
void THLapack_(gesvd)(char jobu, char jobvt, int m, int n, real *a, int lda, real *s, real *u, int ldu, real *vt, int ldvt, real *work, int lwork, int *info)
{
#ifdef USE_LAPACK
#if defined(TH_REAL_IS_DOUBLE)
dgesvd_( &jobu, &jobvt, &m, &n, a, &lda, s, u, &ldu, vt, &ldvt, work, &lwork, info);
#else
sgesvd_( &jobu, &jobvt, &m, &n, a, &lda, s, u, &ldu, vt, &ldvt, work, &lwork, info);
#endif
#else
THError("gesvd : Lapack library not found in compile time\n");
#endif
}
/* LU decomposition */
void THLapack_(getrf)(int m, int n, real *a, int lda, int *ipiv, int *info)
{
#ifdef USE_LAPACK
#if defined(TH_REAL_IS_DOUBLE)
dgetrf_(&m, &n, a, &lda, ipiv, info);
#else
sgetrf_(&m, &n, a, &lda, ipiv, info);
#endif
#else
THError("getrf : Lapack library not found in compile time\n");
#endif
}
void THLapack_(getrs)(char trans, int n, int nrhs, real *a, int lda, int *ipiv, real *b, int ldb, int *info)
{
#ifdef USE_LAPACK
#if defined(TH_REAL_IS_DOUBLE)
dgetrs_(&trans, &n, &nrhs, a, &lda, ipiv, b, &ldb, info);
#else
sgetrs_(&trans, &n, &nrhs, a, &lda, ipiv, b, &ldb, info);
#endif
#else
THError("getrs : Lapack library not found in compile time\n");
#endif
}
/* Matrix Inverse */
void THLapack_(getri)(int n, real *a, int lda, int *ipiv, real *work, int lwork, int* info)
{
#ifdef USE_LAPACK
#if defined(TH_REAL_IS_DOUBLE)
dgetri_(&n, a, &lda, ipiv, work, &lwork, info);
#else
sgetri_(&n, a, &lda, ipiv, work, &lwork, info);
#endif
#else
THError("getri : Lapack library not found in compile time\n");
#endif
}
/* Cholesky factorization */
void THLapack_(potrf)(char uplo, int n, real *a, int lda, int *info)
{
#ifdef USE_LAPACK
#if defined(TH_REAL_IS_DOUBLE)
dpotrf_(&uplo, &n, a, &lda, info);
#else
spotrf_(&uplo, &n, a, &lda, info);
#endif
#else
THError("potrf : Lapack library not found in compile time\n");
#endif
}
/* Solve A*X = B with a symmetric positive definite matrix A using the Cholesky factorization */
void THLapack_(potrs)(char uplo, int n, int nrhs, real *a, int lda, real *b, int ldb, int *info)
{
#ifdef USE_LAPACK
#if defined(TH_REAL_IS_DOUBLE)
dpotrs_(&uplo, &n, &nrhs, a, &lda, b, &ldb, info);
#else
spotrs_(&uplo, &n, &nrhs, a, &lda, b, &ldb, info);
#endif
#else
THError("potrs: Lapack library not found in compile time\n");
#endif
}
/* Cholesky factorization based Matrix Inverse */
void THLapack_(potri)(char uplo, int n, real *a, int lda, int *info)
{
#ifdef USE_LAPACK
#if defined(TH_REAL_IS_DOUBLE)
dpotri_(&uplo, &n, a, &lda, info);
#else
spotri_(&uplo, &n, a, &lda, info);
#endif
#else
THError("potri: Lapack library not found in compile time\n");
#endif
}
/* Cholesky factorization with complete pivoting */
void THLapack_(pstrf)(char uplo, int n, real *a, int lda, int *piv, int *rank, real tol, real *work, int *info)
{
#ifdef USE_LAPACK
#if defined(TH_REAL_IS_DOUBLE)
dpstrf_(&uplo, &n, a, &lda, piv, rank, &tol, work, info);
#else
spstrf_(&uplo, &n, a, &lda, piv, rank, &tol, work, info);
#endif
#else
THError("pstrf: Lapack library not found at compile time\n");
#endif
}
/* QR decomposition */
void THLapack_(geqrf)(int m, int n, real *a, int lda, real *tau, real *work, int lwork, int *info)
{
#ifdef USE_LAPACK
#if defined(TH_REAL_IS_DOUBLE)
dgeqrf_(&m, &n, a, &lda, tau, work, &lwork, info);
#else
sgeqrf_(&m, &n, a, &lda, tau, work, &lwork, info);
#endif
#else
THError("geqrf: Lapack library not found in compile time\n");
#endif
}
/* Build Q from output of geqrf */
void THLapack_(orgqr)(int m, int n, int k, real *a, int lda, real *tau, real *work, int lwork, int *info)
{
#ifdef USE_LAPACK
#if defined(TH_REAL_IS_DOUBLE)
dorgqr_(&m, &n, &k, a, &lda, tau, work, &lwork, info);
#else
sorgqr_(&m, &n, &k, a, &lda, tau, work, &lwork, info);
#endif
#else
THError("orgqr: Lapack library not found in compile time\n");
#endif
}
/* Multiply Q with a matrix using the output of geqrf */
void THLapack_(ormqr)(char side, char trans, int m, int n, int k, real *a, int lda, real *tau, real *c, int ldc, real *work, int lwork, int *info)
{
#ifdef USE_LAPACK
#if defined(TH_REAL_IS_DOUBLE)
dormqr_(&side, &trans, &m, &n, &k, a, &lda, tau, c, &ldc, work, &lwork, info);
#else
sormqr_(&side, &trans, &m, &n, &k, a, &lda, tau, c, &ldc, work, &lwork, info);
#endif
#else
THError("ormqr: Lapack library not found in compile time\n");
#endif
}
#endif
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