#ifndef BLAS_DENSE_PROTO_H #define BLAS_DENSE_PROTO_H /* Chapter 2 prototypes */ /* Reduction Operations */ void BLAS_sdot( enum blas_conj_type conj, int n, float alpha, const float *x, int incx, float beta, const float *y, int incy, float *r ); void BLAS_ddot( enum blas_conj_type conj, int n, double alpha, const double *x, int incx, double beta, const double *y, int incy, double *r ); void BLAS_cdot( enum blas_conj_type conj, int n, const void *alpha, const void *x, int incx, const void *beta, const void *y, int incy, void *r ); void BLAS_zdot( enum blas_conj_type conj, int n, const void *alpha, const void *x, int incx, const void *beta, const void *y, int incy, void *r ); void BLAS_snorm( enum blas_norm_type norm, int n, const float *x, int incx, float *r ); void BLAS_dnorm( enum blas_norm_type norm, int n, const double *x, int incx, double *r ); void BLAS_cnorm( enum blas_norm_type norm, int n, const void *x, int incx, float *r ); void BLAS_znorm( enum blas_norm_type norm, int n, const void *x, int incx, double *r ); void BLAS_ssum( int n, const float *x, int incx, float *sum ); void BLAS_dsum( int n, const double *x, int incx, double *sum ); void BLAS_csum( int n, const void *x, int incx, void *sum ); void BLAS_zsum( int n, const void *x, int incx, void *sum ); void BLAS_smin_val( int n, const float *x, int incx, int k, float *r ); void BLAS_dmin_val( int n, const double *x, int incx, int k, double *r ); void BLAS_samin_val( int n, const float *x, int incx, int k, float *r ); void BLAS_damin_val( int n, const double *x, int incx, int k, double *r ); void BLAS_camin_val( int n, const void *x, int incx, int k, float *r ); void BLAS_zamin_val( int n, const void *x, int incx, int k, double *r ); void BLAS_smax_val( int n, const float *x, int incx, int k, float *r ); void BLAS_dmax_val( int n, const double *x, int incx, int k, double *r ); void BLAS_samax_val( int n, const float *x, int incx, int k, float *r ); void BLAS_damax_val( int n, const double *x, int incx, int k, double *r ); void BLAS_camax_val( int n, const void *x, int incx, int k, float *r ); void BLAS_zamax_val( int n, const void *x, int incx, int k, double *r ); void BLAS_ssumsq( int n, const float *x, int incx, float *ssq, float *scl ); void BLAS_dsumsq( int n, const double *x, int incx, double *ssq, double *scl ); void BLAS_csumsq( int n, const void *x, int incx, float *ssq, float *scl ); void BLAS_zsumsq( int n, const void *x, int incx, double *ssq, double *scl ); /* Generate Transformations */ void BLAS_sgen_grot( float a, float b, float *c, float *s, float *r ); void BLAS_dgen_grot( double a, double b, double *c, double *s, double *r ); void BLAS_cgen_grot( const void *a, const void *b, float *c, void *s, void *r ); void BLAS_zgen_grot( const void *a, const void *b, double *c, void *s, void *r ); void BLAS_sgen_jrot( enum blas_jrot_type jrot, float *x, float y, float *z, float *c, float *s ); void BLAS_dgen_jrot( enum blas_jrot_type jrot, double *x, double y, double *z, double *c, double *s ); void BLAS_cgen_jrot( enum blas_jrot_type jrot, float *x, const void *y, float *z, float *c, void *s ); void BLAS_zgen_jrot( enum blas_jrot_type jrot, double *x, const void *y, double *z, double *c, void *s ); void BLAS_sgen_house( int n, float *alpha, float *x, int incx, float *tau ); void BLAS_dgen_house( int n, double *alpha, double *x, int incx, double *tau ); void BLAS_cgen_house( int n, void *alpha, void *x, int incx, void *tau ); void BLAS_zgen_house( int n, void *alpha, void *x, int incx, void *tau ); /* Vector Operations */ void BLAS_srscale( int n, float alpha, float *x, int incx ); void BLAS_drscale( int n, double alpha, double *x, int incx ); void BLAS_crscale( int n, float alpha, void *x, int incx ); void BLAS_zrscale( int n, double alpha, void *x, int incx ); void BLAS_saxpby( int n, float alpha, const float *x, int incx, float beta, float *y, int incy ); void BLAS_daxpby( int n, double alpha, const double *x, int incx, double beta, double *y, int incy ); void BLAS_caxpby( int n, const void *alpha, const void *x, int incx, const void *beta, void *y, int incy ); void BLAS_zaxpby( int n, const void *alpha, const void *x, int incx, const void *beta, void *y, int incy ); void BLAS_swaxpby( int n, float alpha, const float *x, int incx, float beta, const float *y, int incy, float *w, int incw ); void BLAS_dwaxpby( int n, double alpha, const double *x, int incx, double beta, const double *y, int incy, double *w, int incw ); void BLAS_cwaxpby( int n, const void *alpha, const void *x, int incx, const void *beta, const void *y, int incy, void *w, int incw ); void BLAS_zwaxpby( int n, const void *alpha, const void *x, int incx, const void *beta, const void *y, int incy, void *w, int incw ); void BLAS_saxpy_dot( int n, float alpha, float *w, int incw, const float *v, int incv, const float *u, int incu, float *r ); void BLAS_daxpy_dot( int n, double alpha, double *w, int incw, const double *v, int incv, const double *u, int incu, double *r ); void BLAS_caxpy_dot( int n, const void *alpha, void *w, int incw, const void *v, int incv, const void *u, int incu, void *r ); void BLAS_zaxpy_dot( int n, const void *alpha, void *w, int incw, const void *v, int incv, const void *u, int incu, void *r ); void BLAS_sapply_grot( int n, float c, float s, float *x, int incx, float *y, int incy ); void BLAS_dapply_grot( int n, double c, double s, double *x, int incx, double *y, int incy ); void BLAS_capply_grot( int n, float c, const void *s, void *x, int incx, void *y, int incy ); void BLAS_zapply_grot( int n, double c, const void *s, void *x, int incx, void *y, int incy ); /* Data Movement with Vectors */ void BLAS_scopy( int n, const float *x, int incx, float *y, int incy ); void BLAS_dcopy( int n, const double *x, int incx, double *y, int incy ); void BLAS_ccopy( int n, const void *x, int incx, void *y, int incy ); void BLAS_zcopy( int n, const void *x, int incx, void *y, int incy ); void BLAS_sswap( int n, float *x, int incx, float *y, int incy ); void BLAS_dswap( int n, double *x, int incx, double *y, int incy ); void BLAS_cswap( int n, void *x, int incx, void *y, int incy ); void BLAS_zswap( int n, void *x, int incx, void *y, int incy ); void BLAS_ssort( enum blas_sort_type sort, int n, float *x, int incx ); void BLAS_dsort( enum blas_sort_type sort, int n, double *x, int incx ); void BLAS_ssortv( enum blas_sort_type sort, int n, float *x, int incx, int *p, int incp ); void BLAS_dsortv( enum blas_sort_type sort, int n, double *x, int incx, int *p, int incp ); void BLAS_spermute( int n, const int *p, int incp, float *x, int incx ); void BLAS_dpermute( int n, const int *p, int incp, double *x, int incx ); void BLAS_cpermute( int n, const int *p, int incp, void *x, int incx ); void BLAS_zpermute( int n, const int *p, int incp, void *x, int incx ); /* Matrix-Vector Operations */ void BLAS_sgemv( enum blas_order_type order, enum blas_trans_type trans, int m, int n, float alpha, const float *a, int lda, const float *x, int incx, float beta, float *y, int incy ); void BLAS_dgemv( enum blas_order_type order, enum blas_trans_type trans, int m, int n, double alpha, const double *a, int lda, const double *x, int incx, double beta, double *y, int incy ); void BLAS_cgemv( enum blas_order_type order, enum blas_trans_type trans, int m, int n, const void *alpha, const void *a, int lda, const void *x, int incx, const void *beta, void *y, int incy ); void BLAS_zgemv( enum blas_order_type order, enum blas_trans_type trans, int m, int n, const void *alpha, const void *a, int lda, const void *x, int incx, const void *beta, void *y, int incy ); void BLAS_sgbmv( enum blas_order_type order, enum blas_trans_type trans, int m, int n, int kl, int ku, float alpha, const float *a, int lda, const float *x, int incx, float beta, float *y, int incy ); void BLAS_dgbmv( enum blas_order_type order, enum blas_trans_type trans, int m, int n, int kl, int ku, double alpha, const double *a, int lda, const double *x, int incx, double beta, double *y, int incy ); void BLAS_cgbmv( enum blas_order_type order, enum blas_trans_type trans, int m, int n, int kl, int ku, const void *alpha, const void *a, int lda, const void *x, int incx, const void *beta, void *y, int incy ); void BLAS_zgbmv( enum blas_order_type order, enum blas_trans_type trans, int m, int n, int kl, int ku, const void *alpha, const void *a, int lda, const void *x, int incx, const void *beta, void *y, int incy ); void BLAS_ssymv( enum blas_order_type order, enum blas_uplo_type uplo, int n, float alpha, const float *a, int lda, const float *x, int incx, float beta, float *y, int incy ); void BLAS_dsymv( enum blas_order_type order, enum blas_uplo_type uplo, int n, double alpha, const double *a, int lda, const double *x, int incx, double beta, double *y, int incy ); void BLAS_csymv( enum blas_order_type order, enum blas_uplo_type uplo, int n, const void *alpha, const void *a, int lda, const void *x, int incx, const void *beta, void *y, int incy ); void BLAS_zsymv( enum blas_order_type order, enum blas_uplo_type uplo, int n, const void *alpha, const void *a, int lda, const void *x, int incx, const void *beta, void *y, int incy ); void BLAS_ssbmv( enum blas_order_type order, enum blas_uplo_type uplo, int n, int k, float alpha, const float *a, int lda, const float *x, int incx, float beta, float *y, int incy ); void BLAS_dsbmv( enum blas_order_type order, enum blas_uplo_type uplo, int n, int k, double alpha, const double *a, int lda, const double *x, int incx, double beta, double *y, int incy ); void BLAS_csbmv( enum blas_order_type order, enum blas_uplo_type uplo, int n, int k, const void *alpha, const void *a, int lda, const void *x, int incx, const void *beta, void *y, int incy ); void BLAS_zsbmv( enum blas_order_type order, enum blas_uplo_type uplo, int n, int k, const void *alpha, const void *a, int lda, const void *x, int incx, const void *beta, void *y, int incy ); void BLAS_sspmv( enum blas_order_type order, enum blas_uplo_type uplo, int n, float alpha, const float *ap, const float *x, int incx, float beta, float *y, int incy ); void BLAS_dspmv( enum blas_order_type order, enum blas_uplo_type uplo, int n, double alpha, const double *ap, const double *x, int incx, double beta, double *y, int incy ); void BLAS_cspmv( enum blas_order_type order, enum blas_uplo_type uplo, int n, const void *alpha, const void *ap, const void *x, int incx, const void *beta, void *y, int incy ); void BLAS_zspmv( enum blas_order_type order, enum blas_uplo_type uplo, int n, const void *alpha, const void *ap, const void *x, int incx, const void *beta, void *y, int incy ); void BLAS_chemv( enum blas_order_type order, enum blas_uplo_type uplo, int n, const void *alpha, const void *a, int lda, const void *x, int incx, const void *beta, void *y, int incy ); void BLAS_zhemv( enum blas_order_type order, enum blas_uplo_type uplo, int n, const void *alpha, const void *a, int lda, const void *x, int incx, const void *beta, void *y, int incy ); void BLAS_chbmv( enum blas_order_type order, enum blas_uplo_type uplo, int n, int k, const void *alpha, const void *a, int lda, const void *x, int incx, const void *beta, void *y, int incy ); void BLAS_zhbmv( enum blas_order_type order, enum blas_uplo_type uplo, int n, int k, const void *alpha, const void *a, int lda, const void *x, int incx, const void *beta, void *y, int incy ); void BLAS_chpmv( enum blas_order_type order, enum blas_uplo_type uplo, int n, const void *alpha, const void *ap, const void *x, int incx, const void *beta, void *y, int incy ); void BLAS_zhpmv( enum blas_order_type order, enum blas_uplo_type uplo, int n, const void *alpha, const void *ap, const void *x, int incx, const void *beta, void *y, int incy ); void BLAS_strmv( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, enum blas_diag_type diag, int n, float alpha, const float *t, int ldt, float *x, int incx ); void BLAS_dtrmv( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, enum blas_diag_type diag, int n, double alpha, const double *t, int ldt, double *x, int incx ); void BLAS_ctrmv( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, enum blas_diag_type diag, int n, const void *alpha, const void *t, int ldt, void *x, int incx ); void BLAS_ztrmv( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, enum blas_diag_type diag, int n, const void *alpha, const void *t, int ldt, void *x, int incx ); void BLAS_stbmv( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, enum blas_diag_type diag, int n, int k, float alpha, const float *t, int ldt, float *x, int incx ); void BLAS_dtbmv( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, enum blas_diag_type diag, int n, int k, double alpha, const double *t, int ldt, double *x, int incx ); void BLAS_ctbmv( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, enum blas_diag_type diag, int n, int k, const void *alpha, const void *t, int ldt, void *x, int incx ); void BLAS_ztbmv( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, enum blas_diag_type diag, int n, int k, const void *alpha, const void *t, int ldt, void *x, int incx ); void BLAS_stpmv( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, enum blas_diag_type diag, int n, float alpha, const float *tp, float *x, int incx ); void BLAS_dtpmv( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, enum blas_diag_type diag, int n, double alpha, const double *tp, double *x, int incx ); void BLAS_ctpmv( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, enum blas_diag_type diag, int n, const void *alpha, const void *tp, void *x, int incx ); void BLAS_ztpmv( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, enum blas_diag_type diag, int n, const void *alpha, const void *tp, void *x, int incx ); void BLAS_sge_sum_mv( enum blas_order_type order, int m, int n, float alpha, const float *a, int lda, const float *x, int incx, float beta, const float *B, int ldb, float *y, int incy ); void BLAS_dge_sum_mv( enum blas_order_type order, int m, int n, double alpha, const double *a, int lda, const double *x, int incx, double beta, const double *B, int ldb, double *y, int incy ); void BLAS_cge_sum_mv( enum blas_order_type order, int m, int n, const void *alpha, const void *a, int lda, const void *x, int incx, const void *beta, const void *B, int ldb, void *y, int incy ); void BLAS_zge_sum_mv( enum blas_order_type order, int m, int n, const void *alpha, const void *a, int lda, const void *x, int incx, const void *beta, const void *B, int ldb, void *y, int incy ); void BLAS_sgemvt( enum blas_order_type order, int m, int n, float alpha, const float *a, int lda, float *x, int incx, const float *y, int incy, float beta, float *w, int incw, const float *z, int incz ); void BLAS_dgemvt( enum blas_order_type order, int m, int n, double alpha, const double *a, int lda, double *x, int incx, const double *y, int incy, double beta, double *w, int incw, const double *z, int incz ); void BLAS_cgemvt( enum blas_order_type order, int m, int n, const void *alpha, const void *a, int lda, void *x, int incx, const void *y, int incy, const void *beta, void *w, int incw, const void *z, int incz ); void BLAS_zgemvt( enum blas_order_type order, int m, int n, const void *alpha, const void *a, int lda, void *x, int incx, const void *y, int incy, const void *beta, void *w, int incw, const void *z, int incz ); void BLAS_strmvt( enum blas_order_type order, enum blas_uplo_type uplo, int n, const float *t, int ldt, float *x, int incx, const float *y, int incy, float *w, int incw, const float *z, int incz ); void BLAS_dtrmvt( enum blas_order_type order, enum blas_uplo_type uplo, int n, const float *t, int ldt, float *x, int incx, const float *y, int incy, float *w, int incw, const float *z, int incz ); void BLAS_ctrmvt( enum blas_order_type order, enum blas_uplo_type uplo, int n, const void *t, int ldt, void *x, int incx, const void *y, int incy, void *w, int incw, const void *z, int incz ); void BLAS_ztrmvt( enum blas_order_type order, enum blas_uplo_type uplo, int n, const void *t, int ldt, void *x, int incx, const void *y, int incy, void *w, int incw, const void *z, int incz ); void BLAS_sgemver( enum blas_order_type order, int m, int n, float *a, int lda, const float *u1, const float *v1, const float *u2, const float *v2, float alpha, float *x, int incx, const float *y, int incy, float *w, int incw, float beta, const float *z, int incz ); void BLAS_dgemver( enum blas_order_type order, int m, int n, double *a, int lda, const double *u1, const double *v1, const double *u2, const double *v2, double alpha, double *x, int incx, const double *y, int incy, double *w, int incw, double beta, const double *z, int incz ); void BLAS_cgemver( enum blas_order_type order, int m, int n, void *a, int lda, const void *u1, const void *v1, const void *u2, const void *v2, const void *alpha, void *x, int incx, const void *y, int incy, void *w, int incw, const void *beta, const void *z, int incz ); void BLAS_zgemver( enum blas_order_type order, int m, int n, void *a, int lda, const void *u1, const void *v1, const void *u2, const void *v2, const void *alpha, void *x, int incx, const void *y, int incy, void *w, int incw, const void *beta, const void *z, int incz ); void BLAS_strsv( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, enum blas_diag_type diag, int n, float alpha, const float *t, int ldt, float *x, int incx ); void BLAS_dtrsv( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, enum blas_diag_type diag, int n, double alpha, const double *t, int ldt, double *x, int incx ); void BLAS_ctrsv( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, enum blas_diag_type diag, int n, const void *alpha, const void *t, int ldt, void *x, int incx ); void BLAS_ztrsv( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, enum blas_diag_type diag, int n, const void *alpha, const void *t, int ldt, void *x, int incx ); void BLAS_stbsv( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, enum blas_diag_type diag, int n, int k, float alpha, const float *t, int ldt, float *x, int incx ); void BLAS_dtbsv( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, enum blas_diag_type diag, int n, int k, double alpha, const double *t, int ldt, double *x, int incx ); void BLAS_ctbsv( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, enum blas_diag_type diag, int n, int k, const void *alpha, const void *t, int ldt, void *x, int incx ); void BLAS_ztbsv( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, enum blas_diag_type diag, int n, int k, const void *alpha, const void *t, int ldt, void *x, int incx ); void BLAS_stpsv( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, enum blas_diag_type diag, int n, float alpha, const float *tp, float *x, int incx ); void BLAS_dtpsv( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, enum blas_diag_type diag, int n, double alpha, const double *tp, double *x, int incx ); void BLAS_ctpsv( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, enum blas_diag_type diag, int n, const void *alpha, const void *tp, void *x, int incx ); void BLAS_ztpsv( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, enum blas_diag_type diag, int n, const void *alpha, const void *tp, void *x, int incx ); void BLAS_sger( enum blas_order_type order, enum blas_conj_type conj, int m, int n, float alpha, const float *x, int incx, const float *y, int incy, float beta, float *a, int lda ); void BLAS_dger( enum blas_order_type order, enum blas_conj_type conj, int m, int n, double alpha, const double *x, int incx, const double *y, int incy, double beta, double *a, int lda ); void BLAS_cger( enum blas_order_type order, enum blas_conj_type conj, int m, int n, const void *alpha, const void *x, int incx, const void *y, int incy, const void *beta, void *a, int lda ); void BLAS_zger( enum blas_order_type order, enum blas_conj_type conj, int m, int n, const void *alpha, const void *x, int incx, const void *y, int incy, const void *beta, void *a, int lda ); void BLAS_ssyr( enum blas_order_type order, enum blas_uplo_type uplo, int n, float alpha, const float *x, int incx, float beta, float *a, int lda ); void BLAS_dsyr( enum blas_order_type order, enum blas_uplo_type uplo, int n, double alpha, const double *x, int incx, double beta, double *a, int lda ); void BLAS_csyr( enum blas_order_type order, enum blas_uplo_type uplo, int n, const void *alpha, const void *x, int incx, const void *beta, void *a, int lda ); void BLAS_zsyr( enum blas_order_type order, enum blas_uplo_type uplo, int n, const void *alpha, const void *x, int incx, const void *beta, void *a, int lda ); void BLAS_sspr( enum blas_order_type order, enum blas_uplo_type uplo, int n, float alpha, const float *x, int incx, float beta, float *ap ); void BLAS_dspr( enum blas_order_type order, enum blas_uplo_type uplo, int n, double alpha, const double *x, int incx, double beta, double *ap ); void BLAS_cspr( enum blas_order_type order, enum blas_uplo_type uplo, int n, const void *alpha, const void *x, int incx, const void *beta, void *ap ); void BLAS_zspr( enum blas_order_type order, enum blas_uplo_type uplo, int n, const void *alpha, const void *x, int incx, const void *beta, void *ap ); void BLAS_cher( enum blas_order_type order, enum blas_uplo_type uplo, int n, float alpha, const void *x, int incx, float beta, void *a, int lda ); void BLAS_zher( enum blas_order_type order, enum blas_uplo_type uplo, int n, double alpha, const void *x, int incx, double beta, void *a, int lda ); void BLAS_chpr( enum blas_order_type order, enum blas_uplo_type uplo, int n, float alpha, const void *x, int incx, float beta, void *ap ); void BLAS_zhpr( enum blas_order_type order, enum blas_uplo_type uplo, int n, double alpha, const void *x, int incx, double beta, void *ap ); void BLAS_ssyr2( enum blas_order_type order, enum blas_uplo_type uplo, int n, float alpha, const float *x, int incx, const float *y, int incy, float beta, float *a, int lda ); void BLAS_dsyr2( enum blas_order_type order, enum blas_uplo_type uplo, int n, double alpha, const double *x, int incx, const double *y, int incy, double beta, double *a, int lda ); void BLAS_csyr2( enum blas_order_type order, enum blas_uplo_type uplo, int n, const void *alpha, const void *x, int incx, const void *y, int incy, const void *beta, void *a, int lda ); void BLAS_zsyr2( enum blas_order_type order, enum blas_uplo_type uplo, int n, const void *alpha, const void *x, int incx, const void *y, int incy, const void *beta, void *a, int lda ); void BLAS_sspr2( enum blas_order_type order, enum blas_uplo_type uplo, int n, float alpha, const float *x, int incx, const float *y, int incy, float beta, float *ap ); void BLAS_dspr2( enum blas_order_type order, enum blas_uplo_type uplo, int n, double alpha, const double *x, int incx, const double *y, int incy, double beta, double *ap ); void BLAS_cspr2( enum blas_order_type order, enum blas_uplo_type uplo, int n, const void *alpha, const void *x, int incx, const void *y, int incy, const void *beta, void *ap ); void BLAS_zspr2( enum blas_order_type order, enum blas_uplo_type uplo, int n, const void *alpha, const void *x, int incx, const void *y, int incy, const void *beta, void *ap ); void BLAS_cher2( enum blas_order_type order, enum blas_uplo_type uplo, int n, const void *alpha, const void *x, int incx, const void *y, int incy, float beta, void *a, int lda ); void BLAS_zher2( enum blas_order_type order, enum blas_uplo_type uplo, int n, const void *alpha, const void *x, int incx, const void *y, int incy, double beta, void *a, int lda ); void BLAS_chpr2( enum blas_order_type order, enum blas_uplo_type uplo, int n, const void *alpha, const void *x, int incx, const void *y, int incy, float beta, void *ap ); void BLAS_zhpr2( enum blas_order_type order, enum blas_uplo_type uplo, int n, const void *alpha, const void *x, int incx, const void *y, int incy, double beta, void *ap ); /* Matrix Operations */ void BLAS_sge_norm( enum blas_order_type order, enum blas_norm_type norm, int m, int n, const float *a, int lda, float *r ); void BLAS_dge_norm( enum blas_order_type order, enum blas_norm_type norm, int m, int n, const double *a, int lda, double *r ); void BLAS_cge_norm( enum blas_order_type order, enum blas_norm_type norm, int m, int n, const void *a, int lda, float *r ); void BLAS_zge_norm( enum blas_order_type order, enum blas_norm_type norm, int m, int n, const void *a, int lda, double *r ); void BLAS_sgb_norm( enum blas_order_type order, enum blas_norm_type norm, int m, int n, int kl, int ku, const float *a, int lda, float *r ); void BLAS_dgb_norm( enum blas_order_type order, enum blas_norm_type norm, int m, int n, int kl, int ku, const double *a, int lda, double *r ); void BLAS_cgb_norm( enum blas_order_type order, enum blas_norm_type norm, int m, int n, int kl, int ku, const void *a, int lda, float *r ); void BLAS_zgb_norm( enum blas_order_type order, enum blas_norm_type norm, int m, int n, int kl, int ku, const void *a, int lda, double *r ); void BLAS_ssy_norm( enum blas_order_type order, enum blas_norm_type norm, enum blas_uplo_type uplo, int n, const float *a, int lda, float *r ); void BLAS_dsy_norm( enum blas_order_type order, enum blas_norm_type norm, enum blas_uplo_type uplo, int n, const double *a, int lda, double *r ); void BLAS_csy_norm( enum blas_order_type order, enum blas_norm_type norm, enum blas_uplo_type uplo, int n, const void *a, int lda, float *r ); void BLAS_zsy_norm( enum blas_order_type order, enum blas_norm_type norm, enum blas_uplo_type uplo, int n, const void *a, int lda, double *r ); void BLAS_che_norm( enum blas_order_type order, enum blas_norm_type norm, enum blas_uplo_type uplo, int n, const void *a, int lda, float *r ); void BLAS_zhe_norm( enum blas_order_type order, enum blas_norm_type norm, enum blas_uplo_type uplo, int n, const void *a, int lda, double *r ); void BLAS_ssb_norm( enum blas_order_type order, enum blas_norm_type norm, enum blas_uplo_type uplo, int n, int k, const float *a, int lda, float *r ); void BLAS_dsb_norm( enum blas_order_type order, enum blas_norm_type norm, enum blas_uplo_type uplo, int n, int k, const double *a, int lda, double *r ); void BLAS_csb_norm( enum blas_order_type order, enum blas_norm_type norm, enum blas_uplo_type uplo, int n, int k, const void *a, int lda, float *r ); void BLAS_zsb_norm( enum blas_order_type order, enum blas_norm_type norm, enum blas_uplo_type uplo, int n, int k, const void *a, int lda, double *r ); void BLAS_chb_norm( enum blas_order_type order, enum blas_norm_type norm, enum blas_uplo_type uplo, int n, int k, const void *a, int lda, float *r ); void BLAS_zhb_norm( enum blas_order_type order, enum blas_norm_type norm, enum blas_uplo_type uplo, int n, int k, const void *a, int lda, double *r ); void BLAS_ssp_norm( enum blas_order_type order, enum blas_norm_type norm, enum blas_uplo_type uplo, int n, const float *ap, float *r ); void BLAS_dsp_norm( enum blas_order_type order, enum blas_norm_type norm, enum blas_uplo_type uplo, int n, const double *ap, double *r ); void BLAS_csp_norm( enum blas_order_type order, enum blas_norm_type norm, enum blas_uplo_type uplo, int n, const void *ap, float *r ); void BLAS_zsp_norm( enum blas_order_type order, enum blas_norm_type norm, enum blas_uplo_type uplo, int n, const void *ap, double *r ); void BLAS_chp_norm( enum blas_order_type order, enum blas_norm_type norm, enum blas_uplo_type uplo, int n, const void *ap, float *r ); void BLAS_zhp_norm( enum blas_order_type order, enum blas_norm_type norm, enum blas_uplo_type uplo, int n, const void *ap, double *r ); void BLAS_str_norm( enum blas_order_type order, enum blas_norm_type norm, enum blas_uplo_type uplo, enum blas_diag_type diag, int n, const float *a, int lda, float *r ); void BLAS_dtr_norm( enum blas_order_type order, enum blas_norm_type norm, enum blas_uplo_type uplo, enum blas_diag_type diag, int n, const double *a, int lda, double *r ); void BLAS_ctr_norm( enum blas_order_type order, enum blas_norm_type norm, enum blas_uplo_type uplo, enum blas_diag_type diag, int n, const void *a, int lda, float *r ); void BLAS_ztr_norm( enum blas_order_type order, enum blas_norm_type norm, enum blas_uplo_type uplo, enum blas_diag_type diag, int n, const void *a, int lda, double *r ); void BLAS_stb_norm( enum blas_order_type order, enum blas_norm_type norm, enum blas_uplo_type uplo, enum blas_diag_type diag, int n, int k, const float *a, int lda, float *r ); void BLAS_dtb_norm( enum blas_order_type order, enum blas_norm_type norm, enum blas_uplo_type uplo, enum blas_diag_type diag, int n, int k, const double *a, int lda, double *r ); void BLAS_ctb_norm( enum blas_order_type order, enum blas_norm_type norm, enum blas_uplo_type uplo, enum blas_diag_type diag, int n, int k, const void *a, int lda, float *r ); void BLAS_ztb_norm( enum blas_order_type order, enum blas_norm_type norm, enum blas_uplo_type uplo, enum blas_diag_type diag, int n, int k, const void *a, int lda, double *r ); void BLAS_stp_norm( enum blas_order_type order, enum blas_norm_type norm, enum blas_uplo_type uplo, enum blas_diag_type diag, int n, const float *ap, float *r ); void BLAS_dtp_norm( enum blas_order_type order, enum blas_norm_type norm, enum blas_uplo_type uplo, enum blas_diag_type diag, int n, const double *ap, double *r ); void BLAS_ctp_norm( enum blas_order_type order, enum blas_norm_type norm, enum blas_uplo_type uplo, enum blas_diag_type diag, int n, const void *ap, float *r ); void BLAS_ztp_norm( enum blas_order_type order, enum blas_norm_type norm, enum blas_uplo_type uplo, enum blas_diag_type diag, int n, const void *ap, double *r ); void BLAS_sge_diag_scale( enum blas_order_type order, enum blas_side_type side, int m, int n, const float *d, int incd, float *a, int lda ); void BLAS_dge_diag_scale( enum blas_order_type order, enum blas_side_type side, int m, int n, const double *d, int incd, double *a, int lda ); void BLAS_cge_diag_scale( enum blas_order_type order, enum blas_side_type side, int m, int n, const void *d, int incd, void *a, int lda ); void BLAS_zge_diag_scale( enum blas_order_type order, enum blas_side_type side, int m, int n, const void *d, int incd, void *a, int lda ); void BLAS_sgb_diag_scale( enum blas_order_type order, enum blas_side_type side, int m, int n, int kl, int ku, const float *d, int incd, float *a, int lda ); void BLAS_dgb_diag_scale( enum blas_order_type order, enum blas_side_type side, int m, int n, int kl, int ku, const double *d, int incd, double *a, int lda ); void BLAS_cgb_diag_scale( enum blas_order_type order, enum blas_side_type side, int m, int n, int kl, int ku, const void *d, int incd, void *a, int lda ); void BLAS_zgb_diag_scale( enum blas_order_type order, enum blas_side_type side, int m, int n, int kl, int ku, const void *d, int incd, void *a, int lda ); void BLAS_sge_lrscale( enum blas_order_type order, int m, int n, const float *dl, int incdl, const float *dr, int incdr, float *a, int lda ); void BLAS_dge_lrscale( enum blas_order_type order, int m, int n, const double *dl, int incdl, const double *dr, int incdr, double *a, int lda ); void BLAS_cge_lrscale( enum blas_order_type order, int m, int n, const void *dl, int incdl, const void *dr, int incdr, void *a, int lda ); void BLAS_zge_lrscale( enum blas_order_type order, int m, int n, const void *dl, int incdl, const void *dr, int incdr, void *a, int lda ); void BLAS_sgb_lrscale( enum blas_order_type order, int m, int n, int kl, int ku, const float *dl, int incdl, const float *dr, int incdr, float *a, int lda ); void BLAS_dgb_lrscale( enum blas_order_type order, int m, int n, int kl, int ku, const double *dl, int incdl, const double *dr, int incdr, double *a, int lda ); void BLAS_cgb_lrscale( enum blas_order_type order, int m, int n, int kl, int ku, const void *dl, int incdl, const void *dr, int incdr, void *a, int lda ); void BLAS_zgb_lrscale( enum blas_order_type order, int m, int n, int kl, int ku, const void *dl, int incdl, const void *dr, int incdr, void *a, int lda ); void BLAS_ssy_lrscale( enum blas_order_type order, enum blas_uplo_type uplo, int n, const float *d, int incd, float *a, int lda ); void BLAS_dsy_lrscale( enum blas_order_type order, enum blas_uplo_type uplo, int n, const double *d, int incd, double *a, int lda ); void BLAS_csy_lrscale( enum blas_order_type order, enum blas_uplo_type uplo, int n, const void *d, int incd, void *a, int lda ); void BLAS_zsy_lrscale( enum blas_order_type order, enum blas_uplo_type uplo, int n, const void *d, int incd, void *a, int lda ); void BLAS_ssb_lrscale( enum blas_order_type order, enum blas_uplo_type uplo, int n, int k, const float *d, int incd, float *a, int lda ); void BLAS_dsb_lrscale( enum blas_order_type order, enum blas_uplo_type uplo, int n, int k, const double *d, int incd, double *a, int lda ); void BLAS_csb_lrscale( enum blas_order_type order, enum blas_uplo_type uplo, int n, int k, const void *d, int incd, void *a, int lda ); void BLAS_zsb_lrscale( enum blas_order_type order, enum blas_uplo_type uplo, int n, int k, const void *d, int incd, void *a, int lda ); void BLAS_ssp_lrscale( enum blas_order_type order, enum blas_uplo_type uplo, int n, const float *d, int incd, float *ap ); void BLAS_dsp_lrscale( enum blas_order_type order, enum blas_uplo_type uplo, int n, const double *d, int incd, double *ap ); void BLAS_csp_lrscale( enum blas_order_type order, enum blas_uplo_type uplo, int n, const void *d, int incd, void *ap ); void BLAS_zsp_lrscale( enum blas_order_type order, enum blas_uplo_type uplo, int n, const void *d, int incd, void *ap ); void BLAS_che_lrscale( enum blas_order_type order, enum blas_uplo_type uplo, int n, const void *d, int incd, void *a, int lda ); void BLAS_zhe_lrscale( enum blas_order_type order, enum blas_uplo_type uplo, int n, const void *d, int incd, void *a, int lda ); void BLAS_chb_lrscale( enum blas_order_type order, enum blas_uplo_type uplo, int n, int k, const void *d, int incd, void *a, int lda ); void BLAS_zhb_lrscale( enum blas_order_type order, enum blas_uplo_type uplo, int n, int k, const void *d, int incd, void *a, int lda ); void BLAS_chp_lrscale( enum blas_order_type order, enum blas_uplo_type uplo, int n, const void *d, int incd, void *ap ); void BLAS_zhp_lrscale( enum blas_order_type order, enum blas_uplo_type uplo, int n, const void *d, int incd, void *ap ); void BLAS_sge_diag_scale_acc( enum blas_order_type order, int m, int n, const float *b, int ldb, const float *d, int incd, float *a, int lda ); void BLAS_dge_diag_scale_acc( enum blas_order_type order, int m, int n, const double *b, int ldb, const double *d, int incd, double *a, int lda ); void BLAS_cge_diag_scale_acc( enum blas_order_type order, int m, int n, const void *b, int ldb, const void *d, int incd, void *a, int lda ); void BLAS_zge_diag_scale_acc( enum blas_order_type order, int m, int n, const void *b, int ldb, const void *d, int incd, void *a, int lda ); void BLAS_sgb_diag_scale_acc( enum blas_order_type order, int m, int n, int kl, int ku, const float *b, int ldb, const float *d, int incd, float *a, int lda ); void BLAS_dgb_diag_scale_acc( enum blas_order_type order, int m, int n, int kl, int ku, const double *b, int ldb, const double *d, int incd, double *a, int lda ); void BLAS_cgb_diag_scale_acc( enum blas_order_type order, int m, int n, int kl, int ku, const void *b, int ldb, const void *d, int incd, void *a, int lda ); void BLAS_zgb_diag_scale_acc( enum blas_order_type order, int m, int n, int kl, int ku, const void *b, int ldb, const void *d, int incd, void *a, int lda ); void BLAS_sge_acc( enum blas_order_type order, enum blas_trans_type trans, int m, int n, float alpha, const float *a, int lda, float beta, float *b, int ldb ); void BLAS_dge_acc( enum blas_order_type order, enum blas_trans_type trans, int m, int n, double alpha, const double *a, int lda, double beta, double *b, int ldb ); void BLAS_cge_acc( enum blas_order_type order, enum blas_trans_type trans, int m, int n, const void *alpha, const void *a, int lda, const void *beta, void *b, int ldb ); void BLAS_zge_acc( enum blas_order_type order, enum blas_trans_type trans, int m, int n, const void *alpha, const void *a, int lda, const void *beta, void *b, int ldb ); void BLAS_ssy_acc( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, int n, float alpha, const float *a, int lda, float beta, float *b, int ldb ); void BLAS_dsy_acc( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, int n, double alpha, const double *a, int lda, double beta, double *b, int ldb ); void BLAS_csy_acc( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, int n, const void *alpha, const void *a, int lda, const void *beta, void *b, int ldb ); void BLAS_zsy_acc( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, int n, const void *alpha, const void *a, int lda, const void *beta, void *b, int ldb ); void BLAS_ssb_acc( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, int n, int k, float alpha, const float *a, int lda, float beta, float *b, int ldb ); void BLAS_dsb_acc( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, int n, int k, double alpha, const double *a, int lda, double beta, double *b, int ldb ); void BLAS_csb_acc( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, int n, int k, const void *alpha, const void *a, int lda, const void *beta, void *b, int ldb ); void BLAS_zsb_acc( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, int n, int k, const void *alpha, const void *a, int lda, const void *beta, void *b, int ldb ); void BLAS_ssp_acc( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, int n, float alpha, const float *ap, float beta, float *bp ); void BLAS_dsp_acc( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, int n, double alpha, const double *ap, double beta, double *bp ); void BLAS_csp_acc( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, int n, const void *alpha, const void *ap, const void *beta, void *bp ); void BLAS_zsp_acc( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, int n, const void *alpha, const void *ap, const void *beta, void *bp ); void BLAS_sgb_acc( enum blas_order_type order, int m, int n, int kl, int ku, float alpha, const float *a, int lda, float beta, float *b, int ldb ); void BLAS_dgb_acc( enum blas_order_type order, int m, int n, int kl, int ku, double alpha, const double *a, int lda, double beta, double *b, int ldb ); void BLAS_cgb_acc( enum blas_order_type order, int m, int n, int kl, int ku, const void *alpha, const void *a, int lda, const void *beta, void *b, int ldb ); void BLAS_zgb_acc( enum blas_order_type order, int m, int n, int kl, int ku, const void *alpha, const void *a, int lda, const void *beta, void *b, int ldb ); void BLAS_str_acc( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_diag_type diag, int n, float alpha, const float *a, int lda, float beta, float *b, int ldb ); void BLAS_dtr_acc( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_diag_type diag, int n, double alpha, const double *a, int lda, double beta, double *b, int ldb ); void BLAS_ctr_acc( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_diag_type diag, int n, const void *alpha, const void *a, int lda, const void *beta, void *b, int ldb ); void BLAS_ztr_acc( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_diag_type diag, int n, const void *alpha, const void *a, int lda, const void *beta, void *b, int ldb ); void BLAS_stb_acc( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_diag_type diag, int n, int k, float alpha, const float *a, int lda, float beta, float *b, int ldb ); void BLAS_dtb_acc( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_diag_type diag, int n, int k, double alpha, const double *a, int lda, double beta, double *b, int ldb ); void BLAS_ctb_acc( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_diag_type diag, int n, int k, const void *alpha, const void *a, int lda, const void *beta, void *b, int ldb ); void BLAS_ztb_acc( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_diag_type diag, int n, int k, const void *alpha, const void *a, int lda, const void *beta, void *b, int ldb ); void BLAS_stp_acc( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_diag_type diag, int n, float alpha, const float *ap, float beta, float *bp ); void BLAS_dtp_acc( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_diag_type diag, int n, double alpha, const double *ap, double beta, double *bp ); void BLAS_ctp_acc( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_diag_type diag, int n, const void *alpha, const void *ap, const void *beta, void *bp ); void BLAS_ztp_acc( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_diag_type diag, int n, const void *alpha, const void *ap, const void *beta, void *bp ); void BLAS_sge_add( enum blas_order_type order, int m, int n, float alpha, const float *a, int lda, float beta, const float *b, int ldb, float *c, int ldc ); void BLAS_dge_add( enum blas_order_type order, int m, int n, double alpha, const double *a, int lda, double beta, const double *b, int ldb, double *c, int ldc ); void BLAS_cge_add( enum blas_order_type order, int m, int n, const void *alpha, const void *a, int lda, const void *beta, const void *b, int ldb, void *c, int ldc ); void BLAS_zge_add( enum blas_order_type order, int m, int n, const void *alpha, const void *a, int lda, const void *beta, const void *b, int ldb, void *c, int ldc ); void BLAS_sgb_add( enum blas_order_type order, int m, int n, int kl, int ku, float alpha, const float *a, int lda, float beta, const float *b, int ldb, float *c, int ldc ); void BLAS_dgb_add( enum blas_order_type order, int m, int n, int kl, int ku, double alpha, const double *a, int lda, double beta, const double *b, int ldb, double *c, int ldc ); void BLAS_cgb_add( enum blas_order_type order, int m, int n, int kl, int ku, const void *alpha, const void *a, int lda, const void *beta, const void *b, int ldb, void *c, int ldc ); void BLAS_zgb_add( enum blas_order_type order, int m, int n, int kl, int ku, const void *alpha, const void *a, int lda, const void *beta, const void *b, int ldb, void *c, int ldc ); void BLAS_ssy_add( enum blas_order_type order, enum blas_uplo_type uplo, int n, float alpha, const float *a, int lda, float beta, const float *b, int ldb, float *c, int ldc ); void BLAS_dsy_add( enum blas_order_type order, enum blas_uplo_type uplo, int n, double alpha, const double *a, int lda, double beta, const double *b, int ldb, double *c, int ldc ); void BLAS_csy_add( enum blas_order_type order, enum blas_uplo_type uplo, int n, const void *alpha, const void *a, int lda, const void *beta, const void *b, int ldb, void *c, int ldc ); void BLAS_zsy_add( enum blas_order_type order, enum blas_uplo_type uplo, int n, const void *alpha, const void *a, int lda, const void *beta, const void *b, int ldb, void *c, int ldc ); void BLAS_ssb_add( enum blas_order_type order, enum blas_uplo_type uplo, int n, int k, float alpha, const float *a, int lda, float beta, const float *b, int ldb, float *c, int ldc ); void BLAS_dsb_add( enum blas_order_type order, enum blas_uplo_type uplo, int n, int k, double alpha, const double *a, int lda, double beta, const double *b, int ldb, double *c, int ldc ); void BLAS_csb_add( enum blas_order_type order, enum blas_uplo_type uplo, int n, int k, const void *alpha, const void *a, int lda, const void *beta, const void *b, int ldb, void *c, int ldc ); void BLAS_zsb_add( enum blas_order_type order, enum blas_uplo_type uplo, int n, int k, const void *alpha, const void *a, int lda, const void *beta, const void *b, int ldb, void *c, int ldc ); void BLAS_ssp_add( enum blas_order_type order, enum blas_uplo_type uplo, int n, float alpha, const float *ap, float beta, const float *bp, float *cp ); void BLAS_dsp_add( enum blas_order_type order, enum blas_uplo_type uplo, int n, double alpha, const double *ap, double beta, const double *bp, double *cp ); void BLAS_csp_add( enum blas_order_type order, enum blas_uplo_type uplo, int n, const void *alpha, const void *ap, const void *beta, const void *bp, void *cp ); void BLAS_zsp_add( enum blas_order_type order, enum blas_uplo_type uplo, int n, const void *alpha, const void *ap, const void *beta, const void *bp, void *cp ); void BLAS_str_add( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_diag_type diag, int n, float alpha, const float *a, int lda, float beta, const float *b, int ldb, float *c, int ldc ); void BLAS_dtr_add( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_diag_type diag, int n, double alpha, const double *a, int lda, double beta, const double *b, int ldb, double *c, int ldc ); void BLAS_ctr_add( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_diag_type diag, int n, const void *alpha, const void *a, int lda, const void *beta, const void *b, int ldb, void *c, int ldc ); void BLAS_ztr_add( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_diag_type diag, int n, const void *alpha, const void *a, int lda, const void *beta, const void *b, int ldb, void *c, int ldc ); void BLAS_stb_add( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_diag_type diag, int n, int k, float alpha, const float *a, int lda, float beta, const float *b, int ldb, float *c, int ldc ); void BLAS_dtb_add( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_diag_type diag, int n, int k, double alpha, const double *a, int lda, double beta, const double *b, int ldb, double *c, int ldc ); void BLAS_ctb_add( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_diag_type diag, int n, int k, const void *alpha, const void *a, int lda, const void *beta, const void *b, int ldb, void *c, int ldc ); void BLAS_ztb_add( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_diag_type diag, int n, int k, const void *alpha, const void *a, int lda, const void *beta, const void *b, int ldb, void *c, int ldc ); void BLAS_stp_add( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_diag_type diag, int n, float alpha, const float *ap, float beta, const float *bp, float *cp ); void BLAS_dtp_add( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_diag_type diag, int n, double alpha, const double *ap, double beta, const double *bp, double *cp ); void BLAS_ctp_add( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_diag_type diag, int n, const void *alpha, const void *ap, const void *beta, const void *bp, void *cp ); void BLAS_ztp_add( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_diag_type diag, int n, const void *alpha, const void *ap, const void *beta, const void *bp, void *cp ); /* Matrix-Matrix Operations */ void BLAS_sgemm( enum blas_order_type order, enum blas_trans_type transa, enum blas_trans_type transb, int m, int n, int k, float alpha, const float *a, int lda, const float *b, int ldb, float beta, float *c, int ldc ); void BLAS_dgemm( enum blas_order_type order, enum blas_trans_type transa, enum blas_trans_type transb, int m, int n, int k, double alpha, const double *a, int lda, const double *b, int ldb, double beta, double *c, int ldc ); void BLAS_cgemm( enum blas_order_type order, enum blas_trans_type transa, enum blas_trans_type transb, int m, int n, int k, const void *alpha, const void *a, int lda, const void *b, int ldb, const void *beta, void *c, int ldc ); void BLAS_zgemm( enum blas_order_type order, enum blas_trans_type transa, enum blas_trans_type transb, int m, int n, int k, const void *alpha, const void *a, int lda, const void *b, int ldb, const void *beta, void *c, int ldc ); void BLAS_ssymm( enum blas_order_type order, enum blas_side_type side, enum blas_uplo_type uplo, int m, int n, float alpha, const float *a, int lda, const float *b, int ldb, float beta, float *c, int ldc ); void BLAS_dsymm( enum blas_order_type order, enum blas_side_type side, enum blas_uplo_type uplo, int m, int n, double alpha, const double *a, int lda, const double *b, int ldb, double beta, double *c, int ldc ); void BLAS_csymm( enum blas_order_type order, enum blas_side_type side, enum blas_uplo_type uplo, int m, int n, const void *alpha, const void *a, int lda, const void *b, int ldb, const void *beta, void *c, int ldc ); void BLAS_zsymm( enum blas_order_type order, enum blas_side_type side, enum blas_uplo_type uplo, int m, int n, const void *alpha, const void *a, int lda, const void *b, int ldb, const void *beta, void *c, int ldc ); void BLAS_chemm( enum blas_order_type order, enum blas_side_type side, enum blas_uplo_type uplo, int m, int n, const void *alpha, const void *a, int lda, const void *b, int ldb, const void *beta, void *c, int ldc ); void BLAS_zhemm( enum blas_order_type order, enum blas_side_type side, enum blas_uplo_type uplo, int m, int n, const void *alpha, const void *a, int lda, const void *b, int ldb, const void *beta, void *c, int ldc ); void BLAS_strmm( enum blas_order_type order, enum blas_side_type side, enum blas_uplo_type uplo, enum blas_trans_type transt, enum blas_diag_type diag, int m, int n, float alpha, const float *t, int ldt, float *b, int ldb ); void BLAS_dtrmm( enum blas_order_type order, enum blas_side_type side, enum blas_uplo_type uplo, enum blas_trans_type transt, enum blas_diag_type diag, int m, int n, double alpha, const double *t, int ldt, double *b, int ldb ); void BLAS_ctrmm( enum blas_order_type order, enum blas_side_type side, enum blas_uplo_type uplo, enum blas_trans_type transt, enum blas_diag_type diag, int m, int n, const void *alpha, const void *t, int ldt, void *b, int ldb ); void BLAS_ztrmm( enum blas_order_type order, enum blas_side_type side, enum blas_uplo_type uplo, enum blas_trans_type transt, enum blas_diag_type diag, int m, int n, const void *alpha, const void *t, int ldt, void *b, int ldb ); void BLAS_strsm( enum blas_order_type order, enum blas_side_type side, enum blas_uplo_type uplo, enum blas_trans_type transt, enum blas_diag_type diag, int m, int n, float alpha, const float *t, int ldt, float *b, int ldb ); void BLAS_dtrsm( enum blas_order_type order, enum blas_side_type side, enum blas_uplo_type uplo, enum blas_trans_type transt, enum blas_diag_type diag, int m, int n, double alpha, const double *t, int ldt, double *b, int ldb ); void BLAS_ctrsm( enum blas_order_type order, enum blas_side_type side, enum blas_uplo_type uplo, enum blas_trans_type transt, enum blas_diag_type diag, int m, int n, const void *alpha, const void *t, int ldt, void *b, int ldb ); void BLAS_ztrsm( enum blas_order_type order, enum blas_side_type side, enum blas_uplo_type uplo, enum blas_trans_type transt, enum blas_diag_type diag, int m, int n, const void *alpha, const void *t, int ldt, void *b, int ldb ); void BLAS_ssyrk( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, int n, int k, float alpha, const float *a, int lda, float beta, float *c, int ldc ); void BLAS_dsyrk( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, int n, int k, double alpha, const double *a, int lda, double beta, double *c, int ldc ); void BLAS_csyrk( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, int n, int k, const void *alpha, const void *a, int lda, const void *beta, void *c, int ldc ); void BLAS_zsyrk( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, int n, int k, const void *alpha, const void *a, int lda, const void *beta, void *c, int ldc ); void BLAS_cherk( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, int n, int k, float alpha, const void *a, int lda, float beta, void *c, int ldc ); void BLAS_zherk( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, int n, int k, double alpha, const void *a, int lda, double beta, void *c, int ldc ); void BLAS_ssy_tridiag_rk( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, int n, int k, float alpha, const float *a, int lda, const float *d, const float *e, float beta, float *c, int ldc ); void BLAS_dsy_tridiag_rk( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, int n, int k, double alpha, const double *a, int lda, const double *d, const double *e, double beta, double *c, int ldc ); void BLAS_csy_tridiag_rk( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, int n, int k, const void *alpha, const void *a, int lda, const void *d, const void *e, const void *beta, void *c, int ldc ); void BLAS_zsy_tridiag_rk( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, int n, int k, const void *alpha, const void *a, int lda, const void *d, const void *e, const void *beta, void *c, int ldc ); void BLAS_che_tridiag_rk( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, int n, int k, float alpha, const void *a, int lda, const void *d, const void *e, float beta, void *c, int ldc ); void BLAS_zhe_tridiag_rk( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, int n, int k, double alpha, const void *a, int lda, const void *d, const void *e, double beta, void *c, int ldc ); void BLAS_ssyr2k( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, int n, int k, float alpha, const float *a, int lda, const float *b, int ldb, float beta, float *c, int ldc ); void BLAS_dsyr2k( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, int n, int k, double alpha, const double *a, int lda, const double *b, int ldb, double beta, double *c, int ldc ); void BLAS_csyr2k( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, int n, int k, const void *alpha, const void *a, int lda, const void *b, int ldb, const void *beta, void *c, int ldc ); void BLAS_zsyr2k( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, int n, int k, const void *alpha, const void *a, int lda, const void *b, int ldb, const void *beta, void *c, int ldc ); void BLAS_cher2k( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, int n, int k, const void *alpha, const void *A, int lda, const void *b, int ldb, float beta, void *c, int ldc ); void BLAS_zher2k( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, int n, int k, const void *alpha, const void *A, int lda, const void *b, int ldb, double beta, void *c, int ldc ); void BLAS_ssy_tridiag_r2k( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, int n, int k, float alpha, const float *a, int lda, const float *d, const float *e, const float *b, int ldb, float beta, float *c, int ldc ); void BLAS_dsy_tridiag_r2k( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, int n, int k, double alpha, const double *a, int lda, const double *d, const double *e, const double *b, int ldb, double beta, double *c, int ldc ); void BLAS_csy_tridiag_r2k( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, int n, int k, const void *alpha, const void *a, int lda, const void *d, const void *e, const void *b, int ldb, const void *beta, void *c, int ldc ); void BLAS_zsy_tridiag_r2k( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, int n, int k, const void *alpha, const void *a, int lda, const void *d, const void *e, const void *b, int ldb, const void *beta, void *c, int ldc ); void BLAS_che_tridiag_r2k( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, int n, int k, const void *alpha, const void *a, int lda, const void *d, const void *e, const void *b, int ldb, float beta, void *c, int ldc ); void BLAS_zhe_tridiag_r2k( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, int n, int k, const void *alpha, const void *a, int lda, const void *d, const void *e, const void *b, int ldb, double beta, void *c, int ldc ); /* Data Movement with Matrices */ void BLAS_sge_copy( enum blas_order_type order, enum blas_trans_type trans, int m, int n, const float *a, int lda, float *b, int ldb ); void BLAS_dge_copy( enum blas_order_type order, enum blas_trans_type trans, int m, int n, const double *a, int lda, double *b, int ldb ); void BLAS_cge_copy( enum blas_order_type order, enum blas_trans_type trans, int m, int n, const void *a, int lda, void *b, int ldb ); void BLAS_zge_copy( enum blas_order_type order, enum blas_trans_type trans, int m, int n, const void *a, int lda, void *b, int ldb ); void BLAS_sgb_copy( enum blas_order_type order, enum blas_trans_type trans, int m, int n, int kl, int ku, const float *a, int lda, float *b, int ldb ); void BLAS_dgb_copy( enum blas_order_type order, enum blas_trans_type trans, int m, int n, int kl, int ku, const double *a, int lda, double *b, int ldb ); void BLAS_cgb_copy( enum blas_order_type order, enum blas_trans_type trans, int m, int n, int kl, int ku, const void *a, int lda, void *b, int ldb ); void BLAS_zgb_copy( enum blas_order_type order, enum blas_trans_type trans, int m, int n, int kl, int ku, const void *a, int lda, void *b, int ldb ); void BLAS_ssy_copy( enum blas_order_type order, enum blas_uplo_type uplo, int n, const float *a, int lda, float *b, int ldb ); void BLAS_dsy_copy( enum blas_order_type order, enum blas_uplo_type uplo, int n, const double *a, int lda, double *b, int ldb ); void BLAS_csy_copy( enum blas_order_type order, enum blas_uplo_type uplo, int n, const void *a, int lda, void *b, int ldb ); void BLAS_zsy_copy( enum blas_order_type order, enum blas_uplo_type uplo, int n, const void *a, int lda, void *b, int ldb ); void BLAS_ssb_copy( enum blas_order_type order, enum blas_uplo_type uplo, int n, int k, const float *a, int lda, float *b, int ldb ); void BLAS_dsb_copy( enum blas_order_type order, enum blas_uplo_type uplo, int n, int k, const double *a, int lda, double *b, int ldb ); void BLAS_csb_copy( enum blas_order_type order, enum blas_uplo_type uplo, int n, int k, const void *a, int lda, void *b, int ldb ); void BLAS_zsb_copy( enum blas_order_type order, enum blas_uplo_type uplo, int n, int k, const void *a, int lda, void *b, int ldb ); void BLAS_ssp_copy( enum blas_order_type order, enum blas_uplo_type uplo, int n, const float *ap, float *bp ); void BLAS_dsp_copy( enum blas_order_type order, enum blas_uplo_type uplo, int n, const double *ap, double *bp ); void BLAS_csp_copy( enum blas_order_type order, enum blas_uplo_type uplo, int n, const void *ap, void *bp ); void BLAS_zsp_copy( enum blas_order_type order, enum blas_uplo_type uplo, int n, const void *ap, void *bp ); void BLAS_str_copy( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, enum blas_diag_type diag, int n, const float *a, int lda, float *b, int ldb ); void BLAS_dtr_copy( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, enum blas_diag_type diag, int n, const double *a, int lda, double *b, int ldb ); void BLAS_ctr_copy( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, enum blas_diag_type diag, int n, const void *a, int lda, void *b, int ldb ); void BLAS_ztr_copy( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, enum blas_diag_type diag, int n, const void *a, int lda, void *b, int ldb ); void BLAS_stb_copy( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, enum blas_diag_type diag, int n, int k, const float *a, int lda, float *b, int ldb ); void BLAS_dtb_copy( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, enum blas_diag_type diag, int n, int k, const double *a, int lda, double *b, int ldb ); void BLAS_ctb_copy( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, enum blas_diag_type diag, int n, int k, const void *a, int lda, void *b, int ldb ); void BLAS_ztb_copy( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, enum blas_diag_type diag, int n, int k, const void *a, int lda, void *b, int ldb ); void BLAS_stp_copy( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, enum blas_diag_type diag, int n, const float *ap, float *bp ); void BLAS_dtp_copy( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, enum blas_diag_type diag, int n, const double *ap, double *bp ); void BLAS_ctp_copy( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, enum blas_diag_type diag, int n, const void *ap, void *bp ); void BLAS_ztp_copy( enum blas_order_type order, enum blas_uplo_type uplo, enum blas_trans_type trans, enum blas_diag_type diag, int n, const void *ap, void *bp ); void BLAS_che_copy( enum blas_order_type order, enum blas_uplo_type uplo, int n, const void *a, int lda, void *b, int ldb ); void BLAS_zhe_copy( enum blas_order_type order, enum blas_uplo_type uplo, int n, const void *a, int lda, void *b, int ldb ); void BLAS_chb_copy( enum blas_order_type order, enum blas_uplo_type uplo, int n, int k, const void *a, int lda, void *b, int ldb ); void BLAS_zhb_copy( enum blas_order_type order, enum blas_uplo_type uplo, int n, int k, const void *a, int lda, void *b, int ldb ); void BLAS_chp_copy( enum blas_order_type order, enum blas_uplo_type uplo, int n, const void *ap, void *bp ); void BLAS_zhp_copy( enum blas_order_type order, enum blas_uplo_type uplo, int n, const void *ap, void *bp ); void BLAS_sge_trans( enum blas_order_type order, enum blas_conj_type conj, int n, float *a, int lda ); void BLAS_dge_trans( enum blas_order_type order, enum blas_conj_type conj, int n, double *a, int lda ); void BLAS_cge_trans( enum blas_order_type order, enum blas_conj_type conj, int n, void *a, int lda ); void BLAS_zge_trans( enum blas_order_type order, enum blas_conj_type conj, int n, void *a, int lda ); void BLAS_sge_permute( enum blas_order_type order, enum blas_side_type side, int m, int n, const int *p, int incp, float *a, int lda ); void BLAS_dge_permute( enum blas_order_type order, enum blas_side_type side, int m, int n, const int *p, int incp, double *a, int lda ); void BLAS_cge_permute( enum blas_order_type order, enum blas_side_type side, int m, int n, const int *p, int incp, void *a, int lda ); void BLAS_zge_permute( enum blas_order_type order, enum blas_side_type side, int m, int n, const int *p, int incp, void *a, int lda ); /* Environmental Enquiry */ float c_sfpinfo( enum blas_cmach_type cmach ); double c_dfpinfo( enum blas_cmach_type cmach ); #endif /* BLAS_DENSE_PROTO_H */