cblas.texi
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TEXI
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@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 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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