GSLBLAS.h File Reference

#include <cstring>
#include "Utilities/GSLComplex.h"
#include "Utilities/GSLMatrix.h"

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Enumerations
enum	CBLAS_TRANSPOSE { CblasNoTrans = 111 , CblasTrans = 112 , CblasConjTrans = 113 }
	Transpose operation selector for BLAS routines. More...

Functions
void	gsl_blas_dgemm (CBLAS_TRANSPOSE TransA, CBLAS_TRANSPOSE TransB, double alpha, const gsl_matrix *A, const gsl_matrix *B, double beta, gsl_matrix *C)
	Real matrix-matrix multiply and accumulate.
void	gsl_blas_zgemm (CBLAS_TRANSPOSE TransA, CBLAS_TRANSPOSE TransB, gsl_complex alpha, const gsl_matrix_complex *A, const gsl_matrix_complex *B, gsl_complex beta, gsl_matrix_complex *C)
	Complex matrix-matrix multiply and accumulate.
void	gsl_blas_dgemv (CBLAS_TRANSPOSE TransA, double alpha, const gsl_matrix *A, const gsl_vector *x, double beta, gsl_vector *y)
	Real matrix-vector multiply and accumulate.
void	gsl_blas_zgemv (CBLAS_TRANSPOSE TransA, gsl_complex alpha, const gsl_matrix_complex *A, const gsl_vector_complex *x, gsl_complex beta, gsl_vector_complex *y)
	Complex matrix-vector multiply and accumulate.

Enumeration Type Documentation

CBLAS_TRANSPOSE

enum CBLAS_TRANSPOSE

Transpose operation selector for BLAS routines.

See also

Documentation on https://www.gnu.org/software/gsl/doc/html/blas.html

Implementation on https://www.gnu.org/software/gsl/

• CblasNoTrans: \(\mathrm{op}(A) = A\)
• CblasTrans: \(\mathrm{op}(A) = A^T\)
• CblasConjTrans: \(\mathrm{op}(A) = A^H\) (conjugate transpose)

Enumerator
CblasNoTrans
CblasTrans
CblasConjTrans

Definition at line 32 of file GSLBLAS.h.

Function Documentation

gsl_blas_dgemm()

void gsl_blas_dgemm ( CBLAS_TRANSPOSE  TransA, CBLAS_TRANSPOSE  TransB, double  alpha, const gsl_matrix *  A, const gsl_matrix *  B, double  beta, gsl_matrix *  C  )

inline

Real matrix-matrix multiply and accumulate.

Computes \(C \leftarrow \alpha \,\mathrm{op}(A)\,\mathrm{op}(B) + \beta\, C\) where \(\mathrm{op}(X)\) is chosen by TransA and TransB.

Parameters

TransA	Input: operation applied to A.
TransB	Input: operation applied to B.
alpha	Input: scalar multiplier for \(\mathrm{op}(A)\mathrm{op}(B)\).
A	Input: left matrix operand.
B	Input: right matrix operand.
beta	Input: scalar multiplier for existing C.
C	Input/Output: accumulation target updated in-place.

Definition at line 44 of file GSLBLAS.h.

References CblasNoTrans, gsl_matrix_ptr(), gsl_matrix::size1, and gsl_matrix::size2.

Referenced by TEST_F(), TEST_F(), and TEST_F().

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gsl_blas_dgemv()

void gsl_blas_dgemv ( CBLAS_TRANSPOSE  TransA, double  alpha, const gsl_matrix *  A, const gsl_vector *  x, double  beta, gsl_vector *  y  )

inline

Real matrix-vector multiply and accumulate.

Computes \(y \leftarrow \alpha\,\mathrm{op}(A)\,x + \beta\,y\) with \(\mathrm{op}(A) = A\) or \(A^T\).

Parameters

TransA	Input: operation applied to A.
alpha	Input: scalar multiplier for \(\mathrm{op}(A)x\).
A	Input: matrix operand.
x	Input: vector operand.
beta	Input: scalar multiplier for existing y.
y	Input/Output: result vector updated in-place.

Definition at line 144 of file GSLBLAS.h.

References CblasNoTrans, gsl_matrix_ptr(), gsl_vector_ptr(), gsl_vector::size, gsl_matrix::size1, and gsl_matrix::size2.

Referenced by TEST_F().

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gsl_blas_zgemm()

void gsl_blas_zgemm ( CBLAS_TRANSPOSE  TransA, CBLAS_TRANSPOSE  TransB, gsl_complex  alpha, const gsl_matrix_complex *  A, const gsl_matrix_complex *  B, gsl_complex  beta, gsl_matrix_complex *  C  )

inline

Complex matrix-matrix multiply and accumulate.

Computes \(C \leftarrow \alpha \,\mathrm{op}(A)\,\mathrm{op}(B) + \beta\, C\) with \(\mathrm{op}(X)\) defined by TransA/TransB (including conjugate transpose).

Parameters

TransA	Input: operation applied to A.
TransB	Input: operation applied to B.
alpha	Input: scalar multiplier for \(\mathrm{op}(A)\mathrm{op}(B)\).
A	Input: left matrix operand.
B	Input: right matrix operand.
beta	Input: scalar multiplier for existing C.
C	Input/Output: accumulation target updated in-place.

Definition at line 90 of file GSLBLAS.h.

References CblasConjTrans, CblasNoTrans, gsl_complex::dat, gsl_complex_add(), gsl_complex_conjugate(), gsl_complex_mul(), gsl_matrix_complex_ptr(), gsl_matrix_complex::size1, and gsl_matrix_complex::size2.

Referenced by TEST_F().

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gsl_blas_zgemv()

void gsl_blas_zgemv ( CBLAS_TRANSPOSE  TransA, gsl_complex  alpha, const gsl_matrix_complex *  A, const gsl_vector_complex *  x, gsl_complex  beta, gsl_vector_complex *  y  )

inline

Complex matrix-vector multiply and accumulate.

Computes \(y \leftarrow \alpha\,\mathrm{op}(A)\,x + \beta\,y\) with \(\mathrm{op}(A) = A, A^T,\) or \(A^H\).

Parameters

TransA	Input: operation applied to A.
alpha	Input: scalar multiplier for \(\mathrm{op}(A)x\).
A	Input: matrix operand.
x	Input: vector operand.
beta	Input: scalar multiplier for existing y.
y	Input/Output: result vector updated in-place.

Definition at line 194 of file GSLBLAS.h.

References CblasConjTrans, CblasNoTrans, gsl_complex_add(), gsl_complex_conjugate(), gsl_complex_mul(), gsl_matrix_complex_ptr(), gsl_vector_complex_ptr(), gsl_vector_complex::size, gsl_matrix_complex::size1, and gsl_matrix_complex::size2.

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