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@cindex Low-level CBLAS
@cindex CBLAS, Low-level interface
@cindex BLAS, Low-level C interface
@cindex Basic Linear Algebra Subroutines (BLAS)
The prototypes for the low-level @sc{cblas} functions are declared in
the file @code{gsl_cblas.h}. For the definition of the functions
consult the documentation available from Netlib (@pxref{BLAS References
and Further Reading}).
@menu
* Level 1 CBLAS Functions::
* Level 2 CBLAS Functions::
* Level 3 CBLAS Functions::
* GSL CBLAS Examples::
@end menu
@node Level 1 CBLAS Functions
@section Level 1
@deftypefun float cblas_sdsdot (const int @var{N}, const float @var{alpha}, const float * @var{x}, const int @var{incx}, const float * @var{y}, const int @var{incy})
@end deftypefun
@deftypefun double cblas_dsdot (const int @var{N}, const float * @var{x}, const int @var{incx}, const float * @var{y}, const int @var{incy})
@end deftypefun
@deftypefun float cblas_sdot (const int @var{N}, const float * @var{x}, const int @var{incx}, const float * @var{y}, const int @var{incy})
@end deftypefun
@deftypefun double cblas_ddot (const int @var{N}, const double * @var{x}, const int @var{incx}, const double * @var{y}, const int @var{incy})
@end deftypefun
@deftypefun void cblas_cdotu_sub (const int @var{N}, const void * @var{x}, const int @var{incx}, const void * @var{y}, const int @var{incy}, void * @var{dotu})
@end deftypefun
@deftypefun void cblas_cdotc_sub (const int @var{N}, const void * @var{x}, const int @var{incx}, const void * @var{y}, const int @var{incy}, void * @var{dotc})
@end deftypefun
@deftypefun void cblas_zdotu_sub (const int @var{N}, const void * @var{x}, const int @var{incx}, const void * @var{y}, const int @var{incy}, void * @var{dotu})
@end deftypefun
@deftypefun void cblas_zdotc_sub (const int @var{N}, const void * @var{x}, const int @var{incx}, const void * @var{y}, const int @var{incy}, void * @var{dotc})
@end deftypefun
@deftypefun float cblas_snrm2 (const int @var{N}, const float * @var{x}, const int @var{incx})
@end deftypefun
@deftypefun float cblas_sasum (const int @var{N}, const float * @var{x}, const int @var{incx})
@end deftypefun
@deftypefun double cblas_dnrm2 (const int @var{N}, const double * @var{x}, const int @var{incx})
@end deftypefun
@deftypefun double cblas_dasum (const int @var{N}, const double * @var{x}, const int @var{incx})
@end deftypefun
@deftypefun float cblas_scnrm2 (const int @var{N}, const void * @var{x}, const int @var{incx})
@end deftypefun
@deftypefun float cblas_scasum (const int @var{N}, const void * @var{x}, const int @var{incx})
@end deftypefun
@deftypefun double cblas_dznrm2 (const int @var{N}, const void * @var{x}, const int @var{incx})
@end deftypefun
@deftypefun double cblas_dzasum (const int @var{N}, const void * @var{x}, const int @var{incx})
@end deftypefun
@deftypefun CBLAS_INDEX cblas_isamax (const int @var{N}, const float * @var{x}, const int @var{incx})
@end deftypefun
@deftypefun CBLAS_INDEX cblas_idamax (const int @var{N}, const double * @var{x}, const int @var{incx})
@end deftypefun
@deftypefun CBLAS_INDEX cblas_icamax (const int @var{N}, const void * @var{x}, const int @var{incx})
@end deftypefun
@deftypefun CBLAS_INDEX cblas_izamax (const int @var{N}, const void * @var{x}, const int @var{incx})
@end deftypefun
@deftypefun void cblas_sswap (const int @var{N}, float * @var{x}, const int @var{incx}, float * @var{y}, const int @var{incy})
@end deftypefun
@deftypefun void cblas_scopy (const int @var{N}, const float * @var{x}, const int @var{incx}, float * @var{y}, const int @var{incy})
@end deftypefun
@deftypefun void cblas_saxpy (const int @var{N}, const float @var{alpha}, const float * @var{x}, const int @var{incx}, float * @var{y}, const int @var{incy})
@end deftypefun
@deftypefun void cblas_dswap (const int @var{N}, double * @var{x}, const int @var{incx}, double * @var{y}, const int @var{incy})
@end deftypefun
@deftypefun void cblas_dcopy (const int @var{N}, const double * @var{x}, const int @var{incx}, double * @var{y}, const int @var{incy})
@end deftypefun
@deftypefun void cblas_daxpy (const int @var{N}, const double @var{alpha}, const double * @var{x}, const int @var{incx}, double * @var{y}, const int @var{incy})
@end deftypefun
@deftypefun void cblas_cswap (const int @var{N}, void * @var{x}, const int @var{incx}, void * @var{y}, const int @var{incy})
@end deftypefun
@deftypefun void cblas_ccopy (const int @var{N}, const void * @var{x}, const int @var{incx}, void * @var{y}, const int @var{incy})
@end deftypefun
@deftypefun void cblas_caxpy (const int @var{N}, const void * @var{alpha}, const void * @var{x}, const int @var{incx}, void * @var{y}, const int @var{incy})
@end deftypefun
@deftypefun void cblas_zswap (const int @var{N}, void * @var{x}, const int @var{incx}, void * @var{y}, const int @var{incy})
@end deftypefun
@deftypefun void cblas_zcopy (const int @var{N}, const void * @var{x}, const int @var{incx}, void * @var{y}, const int @var{incy})
@end deftypefun
@deftypefun void cblas_zaxpy (const int @var{N}, const void * @var{alpha}, const void * @var{x}, const int @var{incx}, void * @var{y}, const int @var{incy})
@end deftypefun
@deftypefun void cblas_srotg (float * @var{a}, float * @var{b}, float * @var{c}, float * @var{s})
@end deftypefun
@deftypefun void cblas_srotmg (float * @var{d1}, float * @var{d2}, float * @var{b1}, const float @var{b2}, float * @var{P})
@end deftypefun
@deftypefun void cblas_srot (const int @var{N}, float * @var{x}, const int @var{incx}, float * @var{y}, const int @var{incy}, const float @var{c}, const float @var{s})
@end deftypefun
@deftypefun void cblas_srotm (const int @var{N}, float * @var{x}, const int @var{incx}, float * @var{y}, const int @var{incy}, const float * @var{P})
@end deftypefun
@deftypefun void cblas_drotg (double * @var{a}, double * @var{b}, double * @var{c}, double * @var{s})
@end deftypefun
@deftypefun void cblas_drotmg (double * @var{d1}, double * @var{d2}, double * @var{b1}, const double @var{b2}, double * @var{P})
@end deftypefun
@deftypefun void cblas_drot (const int @var{N}, double * @var{x}, const int @var{incx}, double * @var{y}, const int @var{incy}, const double @var{c}, const double @var{s})
@end deftypefun
@deftypefun void cblas_drotm (const int @var{N}, double * @var{x}, const int @var{incx}, double * @var{y}, const int @var{incy}, const double * @var{P})
@end deftypefun
@deftypefun void cblas_sscal (const int @var{N}, const float @var{alpha}, float * @var{x}, const int @var{incx})
@end deftypefun
@deftypefun void cblas_dscal (const int @var{N}, const double @var{alpha}, double * @var{x}, const int @var{incx})
@end deftypefun
@deftypefun void cblas_cscal (const int @var{N}, const void * @var{alpha}, void * @var{x}, const int @var{incx})
@end deftypefun
@deftypefun void cblas_zscal (const int @var{N}, const void * @var{alpha}, void * @var{x}, const int @var{incx})
@end deftypefun
@deftypefun void cblas_csscal (const int @var{N}, const float @var{alpha}, void * @var{x}, const int @var{incx})
@end deftypefun
@deftypefun void cblas_zdscal (const int @var{N}, const double @var{alpha}, void * @var{x}, const int @var{incx})
@end deftypefun
@node Level 2 CBLAS Functions
@section Level 2
@deftypefun void cblas_sgemv (const enum CBLAS_ORDER @var{order}, const enum CBLAS_TRANSPOSE @var{TransA}, const int @var{M}, const int @var{N}, const float @var{alpha}, const float * @var{A}, const int @var{lda}, const float * @var{x}, const int @var{incx}, const float @var{beta}, float * @var{y}, const int @var{incy})
@end deftypefun
@deftypefun void cblas_sgbmv (const enum CBLAS_ORDER @var{order}, const enum CBLAS_TRANSPOSE @var{TransA}, const int @var{M}, const int @var{N}, const int @var{KL}, const int @var{KU}, const float @var{alpha}, const float * @var{A}, const int @var{lda}, const float * @var{x}, const int @var{incx}, const float @var{beta}, float * @var{y}, const int @var{incy})
@end deftypefun
@deftypefun void cblas_strmv (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const enum CBLAS_TRANSPOSE @var{TransA}, const enum CBLAS_DIAG @var{Diag}, const int @var{N}, const float * @var{A}, const int @var{lda}, float * @var{x}, const int @var{incx})
@end deftypefun
@deftypefun void cblas_stbmv (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const enum CBLAS_TRANSPOSE @var{TransA}, const enum CBLAS_DIAG @var{Diag}, const int @var{N}, const int @var{K}, const float * @var{A}, const int @var{lda}, float * @var{x}, const int @var{incx})
@end deftypefun
@deftypefun void cblas_stpmv (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const enum CBLAS_TRANSPOSE @var{TransA}, const enum CBLAS_DIAG @var{Diag}, const int @var{N}, const float * @var{Ap}, float * @var{x}, const int @var{incx})
@end deftypefun
@deftypefun void cblas_strsv (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const enum CBLAS_TRANSPOSE @var{TransA}, const enum CBLAS_DIAG @var{Diag}, const int @var{N}, const float * @var{A}, const int @var{lda}, float * @var{x}, const int @var{incx})
@end deftypefun
@deftypefun void cblas_stbsv (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const enum CBLAS_TRANSPOSE @var{TransA}, const enum CBLAS_DIAG @var{Diag}, const int @var{N}, const int @var{K}, const float * @var{A}, const int @var{lda}, float * @var{x}, const int @var{incx})
@end deftypefun
@deftypefun void cblas_stpsv (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const enum CBLAS_TRANSPOSE @var{TransA}, const enum CBLAS_DIAG @var{Diag}, const int @var{N}, const float * @var{Ap}, float * @var{x}, const int @var{incx})
@end deftypefun
@deftypefun void cblas_dgemv (const enum CBLAS_ORDER @var{order}, const enum CBLAS_TRANSPOSE @var{TransA}, const int @var{M}, const int @var{N}, const double @var{alpha}, const double * @var{A}, const int @var{lda}, const double * @var{x}, const int @var{incx}, const double @var{beta}, double * @var{y}, const int @var{incy})
@end deftypefun
@deftypefun void cblas_dgbmv (const enum CBLAS_ORDER @var{order}, const enum CBLAS_TRANSPOSE @var{TransA}, const int @var{M}, const int @var{N}, const int @var{KL}, const int @var{KU}, const double @var{alpha}, const double * @var{A}, const int @var{lda}, const double * @var{x}, const int @var{incx}, const double @var{beta}, double * @var{y}, const int @var{incy})
@end deftypefun
@deftypefun void cblas_dtrmv (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const enum CBLAS_TRANSPOSE @var{TransA}, const enum CBLAS_DIAG @var{Diag}, const int @var{N}, const double * @var{A}, const int @var{lda}, double * @var{x}, const int @var{incx})
@end deftypefun
@deftypefun void cblas_dtbmv (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const enum CBLAS_TRANSPOSE @var{TransA}, const enum CBLAS_DIAG @var{Diag}, const int @var{N}, const int @var{K}, const double * @var{A}, const int @var{lda}, double * @var{x}, const int @var{incx})
@end deftypefun
@deftypefun void cblas_dtpmv (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const enum CBLAS_TRANSPOSE @var{TransA}, const enum CBLAS_DIAG @var{Diag}, const int @var{N}, const double * @var{Ap}, double * @var{x}, const int @var{incx})
@end deftypefun
@deftypefun void cblas_dtrsv (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const enum CBLAS_TRANSPOSE @var{TransA}, const enum CBLAS_DIAG @var{Diag}, const int @var{N}, const double * @var{A}, const int @var{lda}, double * @var{x}, const int @var{incx})
@end deftypefun
@deftypefun void cblas_dtbsv (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const enum CBLAS_TRANSPOSE @var{TransA}, const enum CBLAS_DIAG @var{Diag}, const int @var{N}, const int @var{K}, const double * @var{A}, const int @var{lda}, double * @var{x}, const int @var{incx})
@end deftypefun
@deftypefun void cblas_dtpsv (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const enum CBLAS_TRANSPOSE @var{TransA}, const enum CBLAS_DIAG @var{Diag}, const int @var{N}, const double * @var{Ap}, double * @var{x}, const int @var{incx})
@end deftypefun
@deftypefun void cblas_cgemv (const enum CBLAS_ORDER @var{order}, const enum CBLAS_TRANSPOSE @var{TransA}, const int @var{M}, const int @var{N}, const void * @var{alpha}, const void * @var{A}, const int @var{lda}, const void * @var{x}, const int @var{incx}, const void * @var{beta}, void * @var{y}, const int @var{incy})
@end deftypefun
@deftypefun void cblas_cgbmv (const enum CBLAS_ORDER @var{order}, const enum CBLAS_TRANSPOSE @var{TransA}, const int @var{M}, const int @var{N}, const int @var{KL}, const int @var{KU}, const void * @var{alpha}, const void * @var{A}, const int @var{lda}, const void * @var{x}, const int @var{incx}, const void * @var{beta}, void * @var{y}, const int @var{incy})
@end deftypefun
@deftypefun void cblas_ctrmv (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const enum CBLAS_TRANSPOSE @var{TransA}, const enum CBLAS_DIAG @var{Diag}, const int @var{N}, const void * @var{A}, const int @var{lda}, void * @var{x}, const int @var{incx})
@end deftypefun
@deftypefun void cblas_ctbmv (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const enum CBLAS_TRANSPOSE @var{TransA}, const enum CBLAS_DIAG @var{Diag}, const int @var{N}, const int @var{K}, const void * @var{A}, const int @var{lda}, void * @var{x}, const int @var{incx})
@end deftypefun
@deftypefun void cblas_ctpmv (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const enum CBLAS_TRANSPOSE @var{TransA}, const enum CBLAS_DIAG @var{Diag}, const int @var{N}, const void * @var{Ap}, void * @var{x}, const int @var{incx})
@end deftypefun
@deftypefun void cblas_ctrsv (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const enum CBLAS_TRANSPOSE @var{TransA}, const enum CBLAS_DIAG @var{Diag}, const int @var{N}, const void * @var{A}, const int @var{lda}, void * @var{x}, const int @var{incx})
@end deftypefun
@deftypefun void cblas_ctbsv (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const enum CBLAS_TRANSPOSE @var{TransA}, const enum CBLAS_DIAG @var{Diag}, const int @var{N}, const int @var{K}, const void * @var{A}, const int @var{lda}, void * @var{x}, const int @var{incx})
@end deftypefun
@deftypefun void cblas_ctpsv (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const enum CBLAS_TRANSPOSE @var{TransA}, const enum CBLAS_DIAG @var{Diag}, const int @var{N}, const void * @var{Ap}, void * @var{x}, const int @var{incx})
@end deftypefun
@deftypefun void cblas_zgemv (const enum CBLAS_ORDER @var{order}, const enum CBLAS_TRANSPOSE @var{TransA}, const int @var{M}, const int @var{N}, const void * @var{alpha}, const void * @var{A}, const int @var{lda}, const void * @var{x}, const int @var{incx}, const void * @var{beta}, void * @var{y}, const int @var{incy})
@end deftypefun
@deftypefun void cblas_zgbmv (const enum CBLAS_ORDER @var{order}, const enum CBLAS_TRANSPOSE @var{TransA}, const int @var{M}, const int @var{N}, const int @var{KL}, const int @var{KU}, const void * @var{alpha}, const void * @var{A}, const int @var{lda}, const void * @var{x}, const int @var{incx}, const void * @var{beta}, void * @var{y}, const int @var{incy})
@end deftypefun
@deftypefun void cblas_ztrmv (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const enum CBLAS_TRANSPOSE @var{TransA}, const enum CBLAS_DIAG @var{Diag}, const int @var{N}, const void * @var{A}, const int @var{lda}, void * @var{x}, const int @var{incx})
@end deftypefun
@deftypefun void cblas_ztbmv (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const enum CBLAS_TRANSPOSE @var{TransA}, const enum CBLAS_DIAG @var{Diag}, const int @var{N}, const int @var{K}, const void * @var{A}, const int @var{lda}, void * @var{x}, const int @var{incx})
@end deftypefun
@deftypefun void cblas_ztpmv (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const enum CBLAS_TRANSPOSE @var{TransA}, const enum CBLAS_DIAG @var{Diag}, const int @var{N}, const void * @var{Ap}, void * @var{x}, const int @var{incx})
@end deftypefun
@deftypefun void cblas_ztrsv (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const enum CBLAS_TRANSPOSE @var{TransA}, const enum CBLAS_DIAG @var{Diag}, const int @var{N}, const void * @var{A}, const int @var{lda}, void * @var{x}, const int @var{incx})
@end deftypefun
@deftypefun void cblas_ztbsv (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const enum CBLAS_TRANSPOSE @var{TransA}, const enum CBLAS_DIAG @var{Diag}, const int @var{N}, const int @var{K}, const void * @var{A}, const int @var{lda}, void * @var{x}, const int @var{incx})
@end deftypefun
@deftypefun void cblas_ztpsv (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const enum CBLAS_TRANSPOSE @var{TransA}, const enum CBLAS_DIAG @var{Diag}, const int @var{N}, const void * @var{Ap}, void * @var{x}, const int @var{incx})
@end deftypefun
@deftypefun void cblas_ssymv (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const int @var{N}, const float @var{alpha}, const float * @var{A}, const int @var{lda}, const float * @var{x}, const int @var{incx}, const float @var{beta}, float * @var{y}, const int @var{incy})
@end deftypefun
@deftypefun void cblas_ssbmv (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const int @var{N}, const int @var{K}, const float @var{alpha}, const float * @var{A}, const int @var{lda}, const float * @var{x}, const int @var{incx}, const float @var{beta}, float * @var{y}, const int @var{incy})
@end deftypefun
@deftypefun void cblas_sspmv (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const int @var{N}, const float @var{alpha}, const float * @var{Ap}, const float * @var{x}, const int @var{incx}, const float @var{beta}, float * @var{y}, const int @var{incy})
@end deftypefun
@deftypefun void cblas_sger (const enum CBLAS_ORDER @var{order}, const int @var{M}, const int @var{N}, const float @var{alpha}, const float * @var{x}, const int @var{incx}, const float * @var{y}, const int @var{incy}, float * @var{A}, const int @var{lda})
@end deftypefun
@deftypefun void cblas_ssyr (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const int @var{N}, const float @var{alpha}, const float * @var{x}, const int @var{incx}, float * @var{A}, const int @var{lda})
@end deftypefun
@deftypefun void cblas_sspr (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const int @var{N}, const float @var{alpha}, const float * @var{x}, const int @var{incx}, float * @var{Ap})
@end deftypefun
@deftypefun void cblas_ssyr2 (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const int @var{N}, const float @var{alpha}, const float * @var{x}, const int @var{incx}, const float * @var{y}, const int @var{incy}, float * @var{A}, const int @var{lda})
@end deftypefun
@deftypefun void cblas_sspr2 (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const int @var{N}, const float @var{alpha}, const float * @var{x}, const int @var{incx}, const float * @var{y}, const int @var{incy}, float * @var{A})
@end deftypefun
@deftypefun void cblas_dsymv (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const int @var{N}, const double @var{alpha}, const double * @var{A}, const int @var{lda}, const double * @var{x}, const int @var{incx}, const double @var{beta}, double * @var{y}, const int @var{incy})
@end deftypefun
@deftypefun void cblas_dsbmv (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const int @var{N}, const int @var{K}, const double @var{alpha}, const double * @var{A}, const int @var{lda}, const double * @var{x}, const int @var{incx}, const double @var{beta}, double * @var{y}, const int @var{incy})
@end deftypefun
@deftypefun void cblas_dspmv (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const int @var{N}, const double @var{alpha}, const double * @var{Ap}, const double * @var{x}, const int @var{incx}, const double @var{beta}, double * @var{y}, const int @var{incy})
@end deftypefun
@deftypefun void cblas_dger (const enum CBLAS_ORDER @var{order}, const int @var{M}, const int @var{N}, const double @var{alpha}, const double * @var{x}, const int @var{incx}, const double * @var{y}, const int @var{incy}, double * @var{A}, const int @var{lda})
@end deftypefun
@deftypefun void cblas_dsyr (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const int @var{N}, const double @var{alpha}, const double * @var{x}, const int @var{incx}, double * @var{A}, const int @var{lda})
@end deftypefun
@deftypefun void cblas_dspr (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const int @var{N}, const double @var{alpha}, const double * @var{x}, const int @var{incx}, double * @var{Ap})
@end deftypefun
@deftypefun void cblas_dsyr2 (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const int @var{N}, const double @var{alpha}, const double * @var{x}, const int @var{incx}, const double * @var{y}, const int @var{incy}, double * @var{A}, const int @var{lda})
@end deftypefun
@deftypefun void cblas_dspr2 (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const int @var{N}, const double @var{alpha}, const double * @var{x}, const int @var{incx}, const double * @var{y}, const int @var{incy}, double * @var{A})
@end deftypefun
@deftypefun void cblas_chemv (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const int @var{N}, const void * @var{alpha}, const void * @var{A}, const int @var{lda}, const void * @var{x}, const int @var{incx}, const void * @var{beta}, void * @var{y}, const int @var{incy})
@end deftypefun
@deftypefun void cblas_chbmv (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const int @var{N}, const int @var{K}, const void * @var{alpha}, const void * @var{A}, const int @var{lda}, const void * @var{x}, const int @var{incx}, const void * @var{beta}, void * @var{y}, const int @var{incy})
@end deftypefun
@deftypefun void cblas_chpmv (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const int @var{N}, const void * @var{alpha}, const void * @var{Ap}, const void * @var{x}, const int @var{incx}, const void * @var{beta}, void * @var{y}, const int @var{incy})
@end deftypefun
@deftypefun void cblas_cgeru (const enum CBLAS_ORDER @var{order}, const int @var{M}, const int @var{N}, const void * @var{alpha}, const void * @var{x}, const int @var{incx}, const void * @var{y}, const int @var{incy}, void * @var{A}, const int @var{lda})
@end deftypefun
@deftypefun void cblas_cgerc (const enum CBLAS_ORDER @var{order}, const int @var{M}, const int @var{N}, const void * @var{alpha}, const void * @var{x}, const int @var{incx}, const void * @var{y}, const int @var{incy}, void * @var{A}, const int @var{lda})
@end deftypefun
@deftypefun void cblas_cher (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const int @var{N}, const float @var{alpha}, const void * @var{x}, const int @var{incx}, void * @var{A}, const int @var{lda})
@end deftypefun
@deftypefun void cblas_chpr (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const int @var{N}, const float @var{alpha}, const void * @var{x}, const int @var{incx}, void * @var{A})
@end deftypefun
@deftypefun void cblas_cher2 (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const int @var{N}, const void * @var{alpha}, const void * @var{x}, const int @var{incx}, const void * @var{y}, const int @var{incy}, void * @var{A}, const int @var{lda})
@end deftypefun
@deftypefun void cblas_chpr2 (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const int @var{N}, const void * @var{alpha}, const void * @var{x}, const int @var{incx}, const void * @var{y}, const int @var{incy}, void * @var{Ap})
@end deftypefun
@deftypefun void cblas_zhemv (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const int @var{N}, const void * @var{alpha}, const void * @var{A}, const int @var{lda}, const void * @var{x}, const int @var{incx}, const void * @var{beta}, void * @var{y}, const int @var{incy})
@end deftypefun
@deftypefun void cblas_zhbmv (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const int @var{N}, const int @var{K}, const void * @var{alpha}, const void * @var{A}, const int @var{lda}, const void * @var{x}, const int @var{incx}, const void * @var{beta}, void * @var{y}, const int @var{incy})
@end deftypefun
@deftypefun void cblas_zhpmv (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const int @var{N}, const void * @var{alpha}, const void * @var{Ap}, const void * @var{x}, const int @var{incx}, const void * @var{beta}, void * @var{y}, const int @var{incy})
@end deftypefun
@deftypefun void cblas_zgeru (const enum CBLAS_ORDER @var{order}, const int @var{M}, const int @var{N}, const void * @var{alpha}, const void * @var{x}, const int @var{incx}, const void * @var{y}, const int @var{incy}, void * @var{A}, const int @var{lda})
@end deftypefun
@deftypefun void cblas_zgerc (const enum CBLAS_ORDER @var{order}, const int @var{M}, const int @var{N}, const void * @var{alpha}, const void * @var{x}, const int @var{incx}, const void * @var{y}, const int @var{incy}, void * @var{A}, const int @var{lda})
@end deftypefun
@deftypefun void cblas_zher (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const int @var{N}, const double @var{alpha}, const void * @var{x}, const int @var{incx}, void * @var{A}, const int @var{lda})
@end deftypefun
@deftypefun void cblas_zhpr (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const int @var{N}, const double @var{alpha}, const void * @var{x}, const int @var{incx}, void * @var{A})
@end deftypefun
@deftypefun void cblas_zher2 (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const int @var{N}, const void * @var{alpha}, const void * @var{x}, const int @var{incx}, const void * @var{y}, const int @var{incy}, void * @var{A}, const int @var{lda})
@end deftypefun
@deftypefun void cblas_zhpr2 (const enum CBLAS_ORDER @var{order}, const enum CBLAS_UPLO @var{Uplo}, const int @var{N}, const void * @var{alpha}, const void * @var{x}, const int @var{incx}, const void * @var{y}, const int @var{incy}, void * @var{Ap})
@end deftypefun
@node Level 3 CBLAS Functions
@section Level 3
@deftypefun void cblas_sgemm (const enum CBLAS_ORDER @var{Order}, const enum CBLAS_TRANSPOSE @var{TransA}, const enum CBLAS_TRANSPOSE @var{TransB}, const int @var{M}, const int @var{N}, const int @var{K}, const float @var{alpha}, const float * @var{A}, const int @var{lda}, const float * @var{B}, const int @var{ldb}, const float @var{beta}, float * @var{C}, const int @var{ldc})
@end deftypefun
@deftypefun void cblas_ssymm (const enum CBLAS_ORDER @var{Order}, const enum CBLAS_SIDE @var{Side}, const enum CBLAS_UPLO @var{Uplo}, const int @var{M}, const int @var{N}, const float @var{alpha}, const float * @var{A}, const int @var{lda}, const float * @var{B}, const int @var{ldb}, const float @var{beta}, float * @var{C}, const int @var{ldc})
@end deftypefun
@deftypefun void cblas_ssyrk (const enum CBLAS_ORDER @var{Order}, const enum CBLAS_UPLO @var{Uplo}, const enum CBLAS_TRANSPOSE @var{Trans}, const int @var{N}, const int @var{K}, const float @var{alpha}, const float * @var{A}, const int @var{lda}, const float @var{beta}, float * @var{C}, const int @var{ldc})
@end deftypefun
@deftypefun void cblas_ssyr2k (const enum CBLAS_ORDER @var{Order}, const enum CBLAS_UPLO @var{Uplo}, const enum CBLAS_TRANSPOSE @var{Trans}, const int @var{N}, const int @var{K}, const float @var{alpha}, const float * @var{A}, const int @var{lda}, const float * @var{B}, const int @var{ldb}, const float @var{beta}, float * @var{C}, const int @var{ldc})
@end deftypefun
@deftypefun void cblas_strmm (const enum CBLAS_ORDER @var{Order}, const enum CBLAS_SIDE @var{Side}, const enum CBLAS_UPLO @var{Uplo}, const enum CBLAS_TRANSPOSE @var{TransA}, const enum CBLAS_DIAG @var{Diag}, const int @var{M}, const int @var{N}, const float @var{alpha}, const float * @var{A}, const int @var{lda}, float * @var{B}, const int @var{ldb})
@end deftypefun
@deftypefun void cblas_strsm (const enum CBLAS_ORDER @var{Order}, const enum CBLAS_SIDE @var{Side}, const enum CBLAS_UPLO @var{Uplo}, const enum CBLAS_TRANSPOSE @var{TransA}, const enum CBLAS_DIAG @var{Diag}, const int @var{M}, const int @var{N}, const float @var{alpha}, const float * @var{A}, const int @var{lda}, float * @var{B}, const int @var{ldb})
@end deftypefun
@deftypefun void cblas_dgemm (const enum CBLAS_ORDER @var{Order}, const enum CBLAS_TRANSPOSE @var{TransA}, const enum CBLAS_TRANSPOSE @var{TransB}, const int @var{M}, const int @var{N}, const int @var{K}, const double @var{alpha}, const double * @var{A}, const int @var{lda}, const double * @var{B}, const int @var{ldb}, const double @var{beta}, double * @var{C}, const int @var{ldc})
@end deftypefun
@deftypefun void cblas_dsymm (const enum CBLAS_ORDER @var{Order}, const enum CBLAS_SIDE @var{Side}, const enum CBLAS_UPLO @var{Uplo}, const int @var{M}, const int @var{N}, const double @var{alpha}, const double * @var{A}, const int @var{lda}, const double * @var{B}, const int @var{ldb}, const double @var{beta}, double * @var{C}, const int @var{ldc})
@end deftypefun
@deftypefun void cblas_dsyrk (const enum CBLAS_ORDER @var{Order}, const enum CBLAS_UPLO @var{Uplo}, const enum CBLAS_TRANSPOSE @var{Trans}, const int @var{N}, const int @var{K}, const double @var{alpha}, const double * @var{A}, const int @var{lda}, const double @var{beta}, double * @var{C}, const int @var{ldc})
@end deftypefun
@deftypefun void cblas_dsyr2k (const enum CBLAS_ORDER @var{Order}, const enum CBLAS_UPLO @var{Uplo}, const enum CBLAS_TRANSPOSE @var{Trans}, const int @var{N}, const int @var{K}, const double @var{alpha}, const double * @var{A}, const int @var{lda}, const double * @var{B}, const int @var{ldb}, const double @var{beta}, double * @var{C}, const int @var{ldc})
@end deftypefun
@deftypefun void cblas_dtrmm (const enum CBLAS_ORDER @var{Order}, const enum CBLAS_SIDE @var{Side}, const enum CBLAS_UPLO @var{Uplo}, const enum CBLAS_TRANSPOSE @var{TransA}, const enum CBLAS_DIAG @var{Diag}, const int @var{M}, const int @var{N}, const double @var{alpha}, const double * @var{A}, const int @var{lda}, double * @var{B}, const int @var{ldb})
@end deftypefun
@deftypefun void cblas_dtrsm (const enum CBLAS_ORDER @var{Order}, const enum CBLAS_SIDE @var{Side}, const enum CBLAS_UPLO @var{Uplo}, const enum CBLAS_TRANSPOSE @var{TransA}, const enum CBLAS_DIAG @var{Diag}, const int @var{M}, const int @var{N}, const double @var{alpha}, const double * @var{A}, const int @var{lda}, double * @var{B}, const int @var{ldb})
@end deftypefun
@deftypefun void cblas_cgemm (const enum CBLAS_ORDER @var{Order}, const enum CBLAS_TRANSPOSE @var{TransA}, const enum CBLAS_TRANSPOSE @var{TransB}, const int @var{M}, const int @var{N}, const int @var{K}, const void * @var{alpha}, const void * @var{A}, const int @var{lda}, const void * @var{B}, const int @var{ldb}, const void * @var{beta}, void * @var{C}, const int @var{ldc})
@end deftypefun
@deftypefun void cblas_csymm (const enum CBLAS_ORDER @var{Order}, const enum CBLAS_SIDE @var{Side}, const enum CBLAS_UPLO @var{Uplo}, const int @var{M}, const int @var{N}, const void * @var{alpha}, const void * @var{A}, const int @var{lda}, const void * @var{B}, const int @var{ldb}, const void * @var{beta}, void * @var{C}, const int @var{ldc})
@end deftypefun
@deftypefun void cblas_csyrk (const enum CBLAS_ORDER @var{Order}, const enum CBLAS_UPLO @var{Uplo}, const enum CBLAS_TRANSPOSE @var{Trans}, const int @var{N}, const int @var{K}, const void * @var{alpha}, const void * @var{A}, const int @var{lda}, const void * @var{beta}, void * @var{C}, const int @var{ldc})
@end deftypefun
@deftypefun void cblas_csyr2k (const enum CBLAS_ORDER @var{Order}, const enum CBLAS_UPLO @var{Uplo}, const enum CBLAS_TRANSPOSE @var{Trans}, const int @var{N}, const int @var{K}, const void * @var{alpha}, const void * @var{A}, const int @var{lda}, const void * @var{B}, const int @var{ldb}, const void * @var{beta}, void * @var{C}, const int @var{ldc})
@end deftypefun
@deftypefun void cblas_ctrmm (const enum CBLAS_ORDER @var{Order}, const enum CBLAS_SIDE @var{Side}, const enum CBLAS_UPLO @var{Uplo}, const enum CBLAS_TRANSPOSE @var{TransA}, const enum CBLAS_DIAG @var{Diag}, const int @var{M}, const int @var{N}, const void * @var{alpha}, const void * @var{A}, const int @var{lda}, void * @var{B}, const int @var{ldb})
@end deftypefun
@deftypefun void cblas_ctrsm (const enum CBLAS_ORDER @var{Order}, const enum CBLAS_SIDE @var{Side}, const enum CBLAS_UPLO @var{Uplo}, const enum CBLAS_TRANSPOSE @var{TransA}, const enum CBLAS_DIAG @var{Diag}, const int @var{M}, const int @var{N}, const void * @var{alpha}, const void * @var{A}, const int @var{lda}, void * @var{B}, const int @var{ldb})
@end deftypefun
@deftypefun void cblas_zgemm (const enum CBLAS_ORDER @var{Order}, const enum CBLAS_TRANSPOSE @var{TransA}, const enum CBLAS_TRANSPOSE @var{TransB}, const int @var{M}, const int @var{N}, const int @var{K}, const void * @var{alpha}, const void * @var{A}, const int @var{lda}, const void * @var{B}, const int @var{ldb}, const void * @var{beta}, void * @var{C}, const int @var{ldc})
@end deftypefun
@deftypefun void cblas_zsymm (const enum CBLAS_ORDER @var{Order}, const enum CBLAS_SIDE @var{Side}, const enum CBLAS_UPLO @var{Uplo}, const int @var{M}, const int @var{N}, const void * @var{alpha}, const void * @var{A}, const int @var{lda}, const void * @var{B}, const int @var{ldb}, const void * @var{beta}, void * @var{C}, const int @var{ldc})
@end deftypefun
@deftypefun void cblas_zsyrk (const enum CBLAS_ORDER @var{Order}, const enum CBLAS_UPLO @var{Uplo}, const enum CBLAS_TRANSPOSE @var{Trans}, const int @var{N}, const int @var{K}, const void * @var{alpha}, const void * @var{A}, const int @var{lda}, const void * @var{beta}, void * @var{C}, const int @var{ldc})
@end deftypefun
@deftypefun void cblas_zsyr2k (const enum CBLAS_ORDER @var{Order}, const enum CBLAS_UPLO @var{Uplo}, const enum CBLAS_TRANSPOSE @var{Trans}, const int @var{N}, const int @var{K}, const void * @var{alpha}, const void * @var{A}, const int @var{lda}, const void * @var{B}, const int @var{ldb}, const void * @var{beta}, void * @var{C}, const int @var{ldc})
@end deftypefun
@deftypefun void cblas_ztrmm (const enum CBLAS_ORDER @var{Order}, const enum CBLAS_SIDE @var{Side}, const enum CBLAS_UPLO @var{Uplo}, const enum CBLAS_TRANSPOSE @var{TransA}, const enum CBLAS_DIAG @var{Diag}, const int @var{M}, const int @var{N}, const void * @var{alpha}, const void * @var{A}, const int @var{lda}, void * @var{B}, const int @var{ldb})
@end deftypefun
@deftypefun void cblas_ztrsm (const enum CBLAS_ORDER @var{Order}, const enum CBLAS_SIDE @var{Side}, const enum CBLAS_UPLO @var{Uplo}, const enum CBLAS_TRANSPOSE @var{TransA}, const enum CBLAS_DIAG @var{Diag}, const int @var{M}, const int @var{N}, const void * @var{alpha}, const void * @var{A}, const int @var{lda}, void * @var{B}, const int @var{ldb})
@end deftypefun
@deftypefun void cblas_chemm (const enum CBLAS_ORDER @var{Order}, const enum CBLAS_SIDE @var{Side}, const enum CBLAS_UPLO @var{Uplo}, const int @var{M}, const int @var{N}, const void * @var{alpha}, const void * @var{A}, const int @var{lda}, const void * @var{B}, const int @var{ldb}, const void * @var{beta}, void * @var{C}, const int @var{ldc})
@end deftypefun
@deftypefun void cblas_cherk (const enum CBLAS_ORDER @var{Order}, const enum CBLAS_UPLO @var{Uplo}, const enum CBLAS_TRANSPOSE @var{Trans}, const int @var{N}, const int @var{K}, const float @var{alpha}, const void * @var{A}, const int @var{lda}, const float @var{beta}, void * @var{C}, const int @var{ldc})
@end deftypefun
@deftypefun void cblas_cher2k (const enum CBLAS_ORDER @var{Order}, const enum CBLAS_UPLO @var{Uplo}, const enum CBLAS_TRANSPOSE @var{Trans}, const int @var{N}, const int @var{K}, const void * @var{alpha}, const void * @var{A}, const int @var{lda}, const void * @var{B}, const int @var{ldb}, const float @var{beta}, void * @var{C}, const int @var{ldc})
@end deftypefun
@deftypefun void cblas_zhemm (const enum CBLAS_ORDER @var{Order}, const enum CBLAS_SIDE @var{Side}, const enum CBLAS_UPLO @var{Uplo}, const int @var{M}, const int @var{N}, const void * @var{alpha}, const void * @var{A}, const int @var{lda}, const void * @var{B}, const int @var{ldb}, const void * @var{beta}, void * @var{C}, const int @var{ldc})
@end deftypefun
@deftypefun void cblas_zherk (const enum CBLAS_ORDER @var{Order}, const enum CBLAS_UPLO @var{Uplo}, const enum CBLAS_TRANSPOSE @var{Trans}, const int @var{N}, const int @var{K}, const double @var{alpha}, const void * @var{A}, const int @var{lda}, const double @var{beta}, void * @var{C}, const int @var{ldc})
@end deftypefun
@deftypefun void cblas_zher2k (const enum CBLAS_ORDER @var{Order}, const enum CBLAS_UPLO @var{Uplo}, const enum CBLAS_TRANSPOSE @var{Trans}, const int @var{N}, const int @var{K}, const void * @var{alpha}, const void * @var{A}, const int @var{lda}, const void * @var{B}, const int @var{ldb}, const double @var{beta}, void * @var{C}, const int @var{ldc})
@end deftypefun
@deftypefun void cblas_xerbla (int @var{p}, const char * @var{rout}, const char * @var{form}, ...)
@end deftypefun
@node GSL CBLAS Examples
@section Examples
The following program computes the product of two matrices using the
Level-3 @sc{blas} function @sc{sgemm},
@tex
\beforedisplay
$$
\left(
\matrix{0.11&0.12&0.13\cr
0.21&0.22&0.23\cr}
\right)
\left(
\matrix{1011&1012\cr
1021&1022\cr
1031&1031\cr}
\right)
=
\left(
\matrix{367.76&368.12\cr
674.06&674.72\cr}
\right)
$$
\afterdisplay
@end tex
@ifinfo
@example
[ 0.11 0.12 0.13 ] [ 1011 1012 ] [ 367.76 368.12 ]
[ 0.21 0.22 0.23 ] [ 1021 1022 ] = [ 674.06 674.72 ]
[ 1031 1032 ]
@end example
@end ifinfo
@noindent
The matrices are stored in row major order but could be stored in column
major order if the first argument of the call to @code{cblas_sgemm} was
changed to @code{CblasColMajor}.
@example
@verbatiminclude examples/cblas.c
@end example
@noindent
To compile the program use the following command line,
@example
$ gcc -Wall demo.c -lgslcblas
@end example
@noindent
There is no need to link with the main library @code{-lgsl} in this
case as the @sc{cblas} library is an independent unit. Here is the output
from the program,
@example
$ ./a.out
@verbatiminclude examples/cblas.out
@end example
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