mat_gen.h File Reference

#include <stdlib.h>
#include <stdio.h>
#include <stdarg.h>
#include <gandalf/common/misc_defs.h>
#include <gandalf/common/misc_error.h>
#include <gandalf/linalg/linalg_defs.h>
#include <gandalf/linalg/vec_gen.h>
#include <gandalf/linalg/mat_square.h>

Go to the source code of this file.

Classes

struct Gan_Matrix

Structure definition for double precision general size matrix. More...

Defines

#define GAN_MATRIX_STRUCT_DEFINED

#define Gan_SquMatrix struct Gan_SquMatrix

#define gan_mat_realloc(A, rows, cols) gan_mat_realloc_gen(A,rows,cols)

Typedefs

typedef Gan_Matrix Gan_Matrix

Structure definition for double precision general size matrix.

Functions

void gan_mat_free (Gan_Matrix *A)

Free a matrix.

Gan_Matrix * gan_mat_set_dims (Gan_Matrix *A, unsigned long rows, unsigned long cols)

Set dimensions of generic matrix.

Gan_Matrix * gan_mat_fill_va (Gan_Matrix *A, unsigned long rows, unsigned long cols,...)

Fill matrix from variable argument list.

Gan_Matrix * gan_mat_fill_vap (Gan_Matrix *A, unsigned long rows, unsigned long cols, va_list *aptr)

Fill matrix from variable argument list.

Gan_Matrix * gan_mat_fill_const_q (Gan_Matrix *A, unsigned long rows, unsigned long cols, double value)

Fill all elements of a matrix with the same value.

Gan_Bool gan_mat_read_va (const Gan_Matrix *A, unsigned long rows, unsigned long cols,...)

Read elements of matrix from variable argument list.

Gan_Matrix * gan_mat_copy_q (const Gan_Matrix *A, Gan_Matrix *B)

Copy matrix.

Gan_Matrix * gan_mat_scale_q (Gan_Matrix *A, double a, Gan_Matrix *B)

Multiply matrix by scalar.

Gan_Matrix * gan_mat_divide_q (Gan_Matrix *A, double a, Gan_Matrix *B)

Divide matrix by scalar.

Gan_Matrix * gan_mat_tpose_q (Gan_Matrix *A, Gan_Matrix *B)

Transpose matrix.

Gan_Matrix * gan_mat_insertsym (Gan_Matrix *A, unsigned long rA, unsigned long cA, const struct Gan_SquMatrix *B, unsigned long rB, unsigned long cB, unsigned long rows, unsigned long cols)

Gan_Bool gan_mat_is_zero (Gan_Matrix *A)

Checks whether a matrix is zero.

void gan_mat_free_va (Gan_Matrix *A,...)

Free a NULL terminated variable argument list of matrices.

Gan_Matrix * gan_mat_extract_q (const Gan_Matrix *A, unsigned long r0, unsigned long c0, unsigned long rows, unsigned long cols, Gan_Matrix *B)

Extracts rectangular part of matrix.

double gan_mat_sumsqr (const Gan_Matrix *A)

Returns squared Frobenius norm of generic rectangular matrix.

double gan_mat_Fnorm (const Gan_Matrix *A)

Returns Frobenius norm of generic rectangular matrix.

Gan_Matrix * gan_mat_invert_q (const Gan_Matrix *A, Gan_Matrix *B)

Inverts general square matrix.

Gan_Bool gan_mat_fprint (FILE *fp, const Gan_Matrix *A, const char *prefix, unsigned indent, const char *fmt)

Print matrix to file pointer.

Gan_Matrix * gan_mat_fscanf_q (FILE *fp, Gan_Matrix *A, char *prefix, int prefix_len)

Read matrix from file.

Gan_Bool gan_mat_fwrite (FILE *fp, const Gan_Matrix *A, gan_uint32 magic_number)

Print matrix to binary file pointer.

Gan_Matrix * gan_mat_fread_q (FILE *fp, Gan_Matrix *A, gan_uint32 *magic_number)

Read matrix from file in binary format.

Gan_Matrix * gan_mat_alloc (unsigned long rows, unsigned long cols)

Macro: Allocate and return a generic matrix.

Gan_Matrix * gan_mat_form (Gan_Matrix *A, unsigned long rows, unsigned long cols)

Macro: Form and return a generic matrix.

Gan_Matrix * gan_mat_form_data (Gan_Matrix *A, unsigned long rows, unsigned long cols, double *data, size_t data_size)

Macro: Form and return a generic matrix.

Gan_Bool gan_mat_set_el (Gan_Matrix *A, unsigned i, unsigned j, double value)

Macro: Set specific element of matrix.

double gan_mat_get_el (const Gan_Matrix *A, unsigned i, unsigned j)

Macro: Get specific element of matrix.

Gan_Bool gan_mat_inc_el (Gan_Matrix *A, unsigned i, unsigned j, double value)

Macro: Increment specific element of matrix by given value.

Gan_Bool gan_mat_dec_el (Gan_Matrix *A, unsigned i, unsigned j, double value)

Macro: Decrement specific element of matrix by given value.

Gan_Bool gan_mat_print (const Gan_Matrix *A, const char *prefix, int indent, const char *fmt)

Macro: Print matrix to standard output.

Gan_Matrix * gan_mat_fill_const_s (unsigned long rows, unsigned long cols, double value)

Macro: Allocate and fill elements of a matrix with the same value.

Gan_Matrix * gan_mat_fill_zero_q (Gan_Matrix *A, unsigned long rows, unsigned long cols)

Macro: Fill matrix with zeros.

Gan_Matrix * gan_mat_fill_zero_s (unsigned long rows, unsigned cols)

Macro: Allocate and fill matrix with zeros.

Gan_Matrix * gan_mat_copy_s (const Gan_Matrix *A)

Macro: Copy matrix.

Gan_Matrix * gan_mat_scale_s (Gan_Matrix *A, double a)

Macro: Multiply matrix by scalar.

Gan_Matrix * gan_mat_scale_i (Gan_Matrix *A, double a)

Macro: Multiply matrix by scalar.

Gan_Matrix * gan_mat_divide_s (Gan_Matrix *A, double a)

Macro: Divide matrix by scalar.

Gan_Matrix * gan_mat_divide_i (Gan_Matrix *A, double a)

Macro: Divide matrix by scalar.

Gan_Matrix * gan_mat_negate_q (Gan_Matrix *A, Gan_Matrix *B)

Macro: Negate matrix.

Gan_Matrix * gan_mat_negate_s (Gan_Matrix *A)

Macro: Negate matrix.

Gan_Matrix * gan_mat_negate_i (Gan_Matrix *A)

Macro: Negate matrix.

Gan_Matrix * gan_mat_tpose_s (Gan_Matrix *A)

Macro: Transpose matrix.

Gan_Matrix * gan_mat_tpose_i (Gan_Matrix *A)

Macro: Transpose matrix.

Gan_Matrix * gan_mat_add_q (Gan_Matrix *A, Gan_Matrix *B, Gan_Matrix *C)

Macro: Add two matrices and write result into a third.

Gan_Matrix * gan_mat_add_s (Gan_Matrix *A, Gan_Matrix *B)

Macro: Add two matrices and return the result as a new matrix.

Gan_Matrix * gan_mat_add_i1 (Gan_Matrix *A, Gan_Matrix *B)

Macro: Add two matrices and overwrite the first with the result.

Gan_Matrix * gan_mat_add_i2 (Gan_Matrix *A, Gan_Matrix *B)

Macro: Add two matrices and overwrite the second with the result.

Gan_Matrix * gan_mat_increment (Gan_Matrix *A, Gan_Matrix *B)

Macro: Increment a matrix with another matrix.

Gan_Matrix * gan_mat_addT_q (Gan_Matrix *A, Gan_Matrix *B, Gan_Matrix *C)

Macro: Add two matrices, the second transposed, and write result into a third.

Gan_Matrix * gan_mat_addT_s (Gan_Matrix *A, Gan_Matrix *B)

Macro: Add two matrices, the second transposed, and return a new result matrix.

Gan_Matrix * gan_mat_incrementT (Gan_Matrix *A, Gan_Matrix *B)

Macro: Increment a matrix with the transpose of another matrix.

Gan_SquMatrix * gan_mat_add_sym_q (const Gan_Matrix *A, const Gan_Matrix *B, Gan_SquMatrix *C)

Macro: Add two matrices and write result into a symmetric matrix.

Gan_SquMatrix * gan_mat_add_sym_s (const Gan_Matrix *A, Gan_Matrix *B)

Macro: Add two matrices and return the result as a new symmetric matrix.

Gan_SquMatrix * gan_mat_addT_sym_q (const Gan_Matrix *A, const Gan_Matrix *B, Gan_SquMatrix *C)

Macro: Add two matrices and write result into a symmetric matrix.

Gan_SquMatrix * gan_mat_addT_sym_s (const Gan_Matrix *A, const Gan_Matrix *B)

Macro: Add two matrices and return the result as a new symmetric matrix.

Gan_SquMatrix * gan_matT_add_sym_q (const Gan_Matrix *A, const Gan_Matrix *B, Gan_SquMatrix *C)

Macro: Add two matrices and write result into a symmetric matrix.

Gan_SquMatrix * gan_matT_add_sym_s (const Gan_Matrix *A, const Gan_Matrix *B)

Macro: Add two matrices and return the result as a new symmetric matrix.

Gan_SquMatrix * gan_matT_addT_sym_q (Gan_Matrix *A, Gan_Matrix *B, Gan_SquMatrix *C)

Macro: Add two matrices and write result into a symmetric matrix.

Gan_SquMatrix * gan_matT_addT_sym_s (const Gan_Matrix *A, const Gan_Matrix *B)

Macro: Add two matrices and return the result as a new symmetric matrix.

Gan_SquMatrix * gan_mat_saddT_sym_q (const Gan_Matrix *A, const Gan_SquMatrix *B)

Macro: Add matrix to itself and write result into a symmetric matrix.

Gan_SquMatrix * gan_mat_saddT_sym_s (const Gan_Matrix *A)

Macro: Add matrix to itself and return the result as a new symmetric matrix.

Gan_SquMatrix * gan_matT_sadd_sym_q (const Gan_Matrix *A, Gan_SquMatrix *B)

Macro: Add matrix to itself and write result into a symmetric matrix.

Gan_SquMatrix * gan_matT_sadd_sym_s (const Gan_Matrix *A)

Macro: Add matrix to itself and return the result as a new symmetric matrix.

Gan_Matrix * gan_mat_sub_q (Gan_Matrix *A, Gan_Matrix *B, Gan_Matrix *C)

Macro: Subtract two matrices and write result into a third.

Gan_Matrix * gan_mat_sub_s (Gan_Matrix *A, Gan_Matrix *B)

Macro: Subtract two matrices and return the result as a new matrix.

Gan_Matrix * gan_mat_sub_i1 (Gan_Matrix *A, Gan_Matrix *B)

Macro: Subtract two matrices and overwrite the first with the result.

Gan_Matrix * gan_mat_sub_i2 (Gan_Matrix *A, Gan_Matrix *B)

Macro: Subtract two matrices and overwrite the second with the result.

Gan_Matrix * gan_mat_decrement (Gan_Matrix *A, Gan_Matrix *B)

Macro: Decrement a matrix with another matrix.

Gan_Matrix * gan_mat_subT_q (Gan_Matrix *A, Gan_Matrix *B, Gan_Matrix *C)

Macro: Subtract two matrices, the second transposed, and write result into a third.

Gan_Matrix * gan_mat_subT_s (Gan_Matrix *A, Gan_Matrix *B)

Macro: Subtract two matrices, the second transposed, and return new result matrix.

Gan_Matrix * gan_mat_decrementT (Gan_Matrix *A, Gan_Matrix *B)

Macro: Decrement a matrix with the transpose of another matrix.

Gan_Vector * gan_mat_multv_q (const Gan_Matrix *A, const Gan_Vector *x, Gan_Vector *y)

Macro: Multiply matrix and a vector, writing the result into another vector.

Gan_Vector * gan_mat_multv_s (const Gan_Matrix *A, const Gan_Vector *x)

Macro: Multiply matrix and a vector, returning the result as a new vector.

Gan_Vector * gan_matT_multv_q (const Gan_Matrix *A, const Gan_Vector *x, Gan_Vector *y)

Macro: Multiply the transpose of a matrix by a vector.

Gan_Vector * gan_matT_multv_s (const Gan_Matrix *A, const Gan_Vector *x)

Macro: Multiply transpose of matrix by a vector.

Gan_Matrix * gan_mat_rmult_q (const Gan_Matrix *A, const Gan_Matrix *B, Gan_Matrix *C)

Macro: Multiply two matrices and write result into a third.

Gan_Matrix * gan_mat_rmult_s (const Gan_Matrix *A, const Gan_Matrix *B)

Macro: Multiply two matrices and return the result as a new matrix.

Gan_Matrix * gan_mat_rmultT_q (const Gan_Matrix *A, const Gan_Matrix *B, Gan_Matrix *C)

Macro: Multiply a matrix by the transpose of another and write result into a third.

Gan_Matrix * gan_mat_rmultT_s (const Gan_Matrix *A, const Gan_Matrix *B)

Macro: Multiply a matrix by the transpose of another and return a new matrix.

Gan_Matrix * gan_matT_rmult_q (const Gan_Matrix *A, const Gan_Matrix *B, Gan_Matrix *C)

Macro: Multiply the transpose of a matrix by another matrix.

Gan_Matrix * gan_matT_rmult_s (const Gan_Matrix *A, const Gan_Matrix *B)

Macro: Multiply the transpose of a matrix by another matrix.

Gan_Matrix * gan_matT_rmultT_q (const Gan_Matrix *A, const Gan_Matrix *B, Gan_Matrix *C)

Macro: Multiply the transpose of a matrix by the transpose of another matrix.

Gan_Matrix * gan_matT_rmultT_s (const Gan_Matrix *A, const Gan_Matrix *B)

Macro: Multiply the transpose of a matrix by the transpose of another matrix.

Gan_SquMatrix * gan_mat_rmult_sym_q (const Gan_Matrix *A, const Gan_Matrix *B, Gan_SquMatrix *C)

Macro: Multiply two matrices and write result into a symmetric matrix.

Gan_SquMatrix * gan_mat_rmult_sym_s (const Gan_Matrix *A, const Gan_Matrix *B)

Macro: Multiply two matrices and return the result as a new symmetric matrix.

Gan_SquMatrix * gan_mat_rmultT_sym_q (const Gan_Matrix *A, const Gan_Matrix *B, Gan_SquMatrix *C)

Macro: Multiply two matrices and write result into a symmetric matrix.

Gan_SquMatrix * gan_mat_rmultT_sym_s (const Gan_Matrix *A, const Gan_Matrix *B)

Macro: Multiply two matrices and return the result as a new symmetric matrix.

Gan_SquMatrix * gan_matT_rmult_sym_q (const Gan_Matrix *A, const Gan_Matrix *B, Gan_SquMatrix *C)

Macro: Multiply two matrices and write result into a symmetric matrix.

Gan_SquMatrix * gan_matT_rmult_sym_s (const Gan_Matrix *A, const Gan_Matrix *B)

Macro: Multiply two matrices and return the result as a new symmetric matrix.

Gan_SquMatrix * gan_matT_rmultT_sym_q (const Gan_Matrix *A, const Gan_Matrix *B, Gan_SquMatrix *C)

Macro: Multiply two matrices and write result into a symmetric matrix.

Gan_SquMatrix * gan_matT_rmultT_sym_s (const Gan_Matrix *A, const Gan_Matrix *B)

Macro: Multiply two matrices and return the result as a new symmetric matrix.

Gan_SquMatrix * gan_mat_srmultT_q (const Gan_Matrix *A, const Gan_SquMatrix *B)

Macro: Multiply matrix by itself and write result into a symmetric matrix.

Gan_SquMatrix * gan_mat_srmultT_s (const Gan_Matrix *A)

Macro: Multiply matrix by itself and return the result as a new symmetric matrix.

Gan_SquMatrix * gan_mat_slmultT_q (const Gan_Matrix *A, Gan_SquMatrix *B)

Macro: Multiply matrix by itself and write result into a symmetric matrix.

Gan_SquMatrix * gan_mat_slmultT_s (const Gan_Matrix *A)

Macro: Multiply matrix by itself and return the result as a new symmetric matrix.

Gan_Matrix * gan_mat_invert_s (const Gan_Matrix *A)

Macro: Inverts general square matrix.

Gan_Bool gan_mat_same_dims (const Gan_Matrix *A, const Gan_Matrix *B)

Macro: Checks that two matrices have the same number of rows and columns.

Gan_Matrix * gan_mat_insert (Gan_Matrix *A, unsigned long rA, unsigned long cA, const Gan_Matrix *B, unsigned long rB, unsigned long cB, unsigned long rows, unsigned long cols)

Macro: Insert part of generic matrix in another generic matrix.

Gan_Matrix * gan_mat_insertT (Gan_Matrix *A, unsigned long rA, unsigned long cA, const Gan_Matrix *B, unsigned long rB, unsigned long cB, unsigned long rows, unsigned long cols)

Macro: Insert transpose of part of generic matrix in another generic matrix.

Gan_Matrix * gan_mat_insertv (Gan_Matrix *A, unsigned long rA, unsigned long cA, const Gan_Vector *x, unsigned long rx, unsigned long rows)

Macro: Insert part of column vector in a generic matrix.

Gan_Matrix * gan_mat_insertvT (Gan_Matrix *A, unsigned long rA, unsigned long cA, const Gan_Vector *x, unsigned long rx, unsigned long cols)

Macro: Insert part of row vector in a generic matrix.

Gan_Bool gan_mat_test_dims (const Gan_Matrix *A, unsigned long rows, unsigned long cols)

Macro: Test dimensions of generic matrix.

size_t gan_mat_data_size (unsigned long rows, unsigned long cols)

Macro: Returns size of data array in bytes needed to hold matrix data.

Gan_Matrix * gan_mat_extract_s (const Gan_Matrix *A, unsigned long r0, unsigned long c0, unsigned long rows, unsigned long cols)

Macro: Extracts rectangular part of matrix.

Gan_Matrix * gan_mat_fscanf_s (FILE *fp, const char *prefix, int prefix_len)

Macro: Read matrix from file.

Gan_Matrix * gan_mat_fread_s (FILE *fp, gan_uint32 *magic_number)

Macro: Read matrix from file.

Gan_Matrix * gan_mat_form_gen (Gan_Matrix *A, unsigned long rows, unsigned long cols, double *data, size_t data_size)

Gan_Bool gan_mat_realloc_gen (Gan_Matrix *A, unsigned long rows, unsigned long cols)

Gan_Matrix * gan_mat_add_gen (Gan_Matrix *A, Gan_TposeFlag A_tr, Gan_Matrix *B, Gan_TposeFlag B_tr, Gan_Matrix *C)

Add general size matrices.

Gan_SquMatrix * gan_mat_add_sym_gen (const Gan_Matrix *A, Gan_TposeFlag A_tr, const Gan_Matrix *B, Gan_TposeFlag B_tr, struct Gan_SquMatrix *C)

Add general size matrices producing a symmetric matrix.

Gan_Matrix * gan_mat_sub_gen (Gan_Matrix *A, Gan_TposeFlag A_tr, Gan_Matrix *B, Gan_TposeFlag B_tr, Gan_Matrix *C)

Subtract general size matrices.

Gan_Vector * gan_mat_multv_gen (const Gan_Matrix *A, Gan_TposeFlag A_tr, const Gan_Vector *x, Gan_Vector *y)

Multiply matrix and a vector.

Gan_Matrix * gan_mat_rmult_gen (const Gan_Matrix *A, Gan_TposeFlag A_tr, const Gan_Matrix *B, Gan_TposeFlag B_tr, Gan_Matrix *C)

Gan_SquMatrix * gan_mat_rmult_sym_gen (const Gan_Matrix *A, Gan_TposeFlag A_tr, const Gan_Matrix *B, Gan_TposeFlag B_tr, struct Gan_SquMatrix *C)

Gan_Matrix * gan_mat_insert_gen (Gan_Matrix *A, unsigned long rA, unsigned long cA, const Gan_Matrix *B, Gan_TposeFlag B_tr, unsigned long rB, unsigned long cB, unsigned long rows, unsigned long cols)

Insert part of generic matrix in another generic matrix.

Gan_Matrix * gan_mat_insertv_gen (Gan_Matrix *A, unsigned long rA, unsigned long cA, const struct Gan_Vector *x, Gan_TposeFlag x_tr, unsigned long rx, unsigned long size)

Detailed Description

Module: Generic rectangular matrices (double precision)

Part of: Gandalf Library

Version:: 1.32

Date:: 2005/08/22 08:52:18

Author:: jps

Generated on Fri Mar 17 12:44:52 2006 by

1.3.9.1


Classes
struct	Gan_Matrix
	Structure definition for double precision general size matrix. More...
Defines
#define	GAN_MATRIX_STRUCT_DEFINED
#define	Gan_SquMatrix struct Gan_SquMatrix
#define	gan_mat_realloc(A, rows, cols) gan_mat_realloc_gen(A,rows,cols)
Typedefs
typedef Gan_Matrix	Gan_Matrix
	Structure definition for double precision general size matrix.
Functions
void	gan_mat_free (Gan_Matrix *A)
	Free a matrix.
Gan_Matrix *	gan_mat_set_dims (Gan_Matrix *A, unsigned long rows, unsigned long cols)
	Set dimensions of generic matrix.
Gan_Matrix *	gan_mat_fill_va (Gan_Matrix *A, unsigned long rows, unsigned long cols,...)
	Fill matrix from variable argument list.
Gan_Matrix *	gan_mat_fill_vap (Gan_Matrix A, unsigned long rows, unsigned long cols, va_list aptr)
	Fill matrix from variable argument list.
Gan_Matrix *	gan_mat_fill_const_q (Gan_Matrix *A, unsigned long rows, unsigned long cols, double value)
	Fill all elements of a matrix with the same value.
Gan_Bool	gan_mat_read_va (const Gan_Matrix *A, unsigned long rows, unsigned long cols,...)
	Read elements of matrix from variable argument list.
Gan_Matrix *	gan_mat_copy_q (const Gan_Matrix A, Gan_Matrix B)
	Copy matrix.
Gan_Matrix *	gan_mat_scale_q (Gan_Matrix A, double a, Gan_Matrix B)
	Multiply matrix by scalar.
Gan_Matrix *	gan_mat_divide_q (Gan_Matrix A, double a, Gan_Matrix B)
	Divide matrix by scalar.
Gan_Matrix *	gan_mat_tpose_q (Gan_Matrix A, Gan_Matrix B)
	Transpose matrix.
Gan_Matrix *	gan_mat_insertsym (Gan_Matrix A, unsigned long rA, unsigned long cA, const struct Gan_SquMatrix B, unsigned long rB, unsigned long cB, unsigned long rows, unsigned long cols)
Gan_Bool	gan_mat_is_zero (Gan_Matrix *A)
	Checks whether a matrix is zero.
void	gan_mat_free_va (Gan_Matrix *A,...)
	Free a `NULL` terminated variable argument list of matrices.
Gan_Matrix *	gan_mat_extract_q (const Gan_Matrix A, unsigned long r0, unsigned long c0, unsigned long rows, unsigned long cols, Gan_Matrix B)
	Extracts rectangular part of matrix.
double	gan_mat_sumsqr (const Gan_Matrix *A)
	Returns squared Frobenius norm of generic rectangular matrix.
double	gan_mat_Fnorm (const Gan_Matrix *A)
	Returns Frobenius norm of generic rectangular matrix.
Gan_Matrix *	gan_mat_invert_q (const Gan_Matrix A, Gan_Matrix B)
	Inverts general square matrix.
Gan_Bool	gan_mat_fprint (FILE fp, const Gan_Matrix A, const char prefix, unsigned indent, const char fmt)
	Print matrix to file pointer.
Gan_Matrix *	gan_mat_fscanf_q (FILE fp, Gan_Matrix A, char *prefix, int prefix_len)
	Read matrix from file.
Gan_Bool	gan_mat_fwrite (FILE fp, const Gan_Matrix A, gan_uint32 magic_number)
	Print matrix to binary file pointer.
Gan_Matrix *	gan_mat_fread_q (FILE fp, Gan_Matrix A, gan_uint32 *magic_number)
	Read matrix from file in binary format.
Gan_Matrix *	gan_mat_alloc (unsigned long rows, unsigned long cols)
	Macro: Allocate and return a generic matrix.
Gan_Matrix *	gan_mat_form (Gan_Matrix *A, unsigned long rows, unsigned long cols)
	Macro: Form and return a generic matrix.
Gan_Matrix *	gan_mat_form_data (Gan_Matrix A, unsigned long rows, unsigned long cols, double data, size_t data_size)
	Macro: Form and return a generic matrix.
Gan_Bool	gan_mat_set_el (Gan_Matrix *A, unsigned i, unsigned j, double value)
	Macro: Set specific element of matrix.
double	gan_mat_get_el (const Gan_Matrix *A, unsigned i, unsigned j)
	Macro: Get specific element of matrix.
Gan_Bool	gan_mat_inc_el (Gan_Matrix *A, unsigned i, unsigned j, double value)
	Macro: Increment specific element of matrix by given value.
Gan_Bool	gan_mat_dec_el (Gan_Matrix *A, unsigned i, unsigned j, double value)
	Macro: Decrement specific element of matrix by given value.
Gan_Bool	gan_mat_print (const Gan_Matrix A, const char prefix, int indent, const char *fmt)
	Macro: Print matrix to standard output.
Gan_Matrix *	gan_mat_fill_const_s (unsigned long rows, unsigned long cols, double value)
	Macro: Allocate and fill elements of a matrix with the same value.
Gan_Matrix *	gan_mat_fill_zero_q (Gan_Matrix *A, unsigned long rows, unsigned long cols)
	Macro: Fill matrix with zeros.
Gan_Matrix *	gan_mat_fill_zero_s (unsigned long rows, unsigned cols)
	Macro: Allocate and fill matrix with zeros.
Gan_Matrix *	gan_mat_copy_s (const Gan_Matrix *A)
	Macro: Copy matrix.
Gan_Matrix *	gan_mat_scale_s (Gan_Matrix *A, double a)
	Macro: Multiply matrix by scalar.
Gan_Matrix *	gan_mat_scale_i (Gan_Matrix *A, double a)
	Macro: Multiply matrix by scalar.
Gan_Matrix *	gan_mat_divide_s (Gan_Matrix *A, double a)
	Macro: Divide matrix by scalar.
Gan_Matrix *	gan_mat_divide_i (Gan_Matrix *A, double a)
	Macro: Divide matrix by scalar.
Gan_Matrix *	gan_mat_negate_q (Gan_Matrix A, Gan_Matrix B)
	Macro: Negate matrix.
Gan_Matrix *	gan_mat_negate_s (Gan_Matrix *A)
	Macro: Negate matrix.
Gan_Matrix *	gan_mat_negate_i (Gan_Matrix *A)
	Macro: Negate matrix.
Gan_Matrix *	gan_mat_tpose_s (Gan_Matrix *A)
	Macro: Transpose matrix.
Gan_Matrix *	gan_mat_tpose_i (Gan_Matrix *A)
	Macro: Transpose matrix.
Gan_Matrix *	gan_mat_add_q (Gan_Matrix A, Gan_Matrix B, Gan_Matrix *C)
	Macro: Add two matrices and write result into a third.
Gan_Matrix *	gan_mat_add_s (Gan_Matrix A, Gan_Matrix B)
	Macro: Add two matrices and return the result as a new matrix.
Gan_Matrix *	gan_mat_add_i1 (Gan_Matrix A, Gan_Matrix B)
	Macro: Add two matrices and overwrite the first with the result.
Gan_Matrix *	gan_mat_add_i2 (Gan_Matrix A, Gan_Matrix B)
	Macro: Add two matrices and overwrite the second with the result.
Gan_Matrix *	gan_mat_increment (Gan_Matrix A, Gan_Matrix B)
	Macro: Increment a matrix with another matrix.
Gan_Matrix *	gan_mat_addT_q (Gan_Matrix A, Gan_Matrix B, Gan_Matrix *C)
	Macro: Add two matrices, the second transposed, and write result into a third.
Gan_Matrix *	gan_mat_addT_s (Gan_Matrix A, Gan_Matrix B)
	Macro: Add two matrices, the second transposed, and return a new result matrix.
Gan_Matrix *	gan_mat_incrementT (Gan_Matrix A, Gan_Matrix B)
	Macro: Increment a matrix with the transpose of another matrix.
Gan_SquMatrix *	gan_mat_add_sym_q (const Gan_Matrix A, const Gan_Matrix B, Gan_SquMatrix *C)
	Macro: Add two matrices and write result into a symmetric matrix.
Gan_SquMatrix *	gan_mat_add_sym_s (const Gan_Matrix A, Gan_Matrix B)
	Macro: Add two matrices and return the result as a new symmetric matrix.
Gan_SquMatrix *	gan_mat_addT_sym_q (const Gan_Matrix A, const Gan_Matrix B, Gan_SquMatrix *C)
	Macro: Add two matrices and write result into a symmetric matrix.
Gan_SquMatrix *	gan_mat_addT_sym_s (const Gan_Matrix A, const Gan_Matrix B)
	Macro: Add two matrices and return the result as a new symmetric matrix.
Gan_SquMatrix *	gan_matT_add_sym_q (const Gan_Matrix A, const Gan_Matrix B, Gan_SquMatrix *C)
	Macro: Add two matrices and write result into a symmetric matrix.
Gan_SquMatrix *	gan_matT_add_sym_s (const Gan_Matrix A, const Gan_Matrix B)
	Macro: Add two matrices and return the result as a new symmetric matrix.
Gan_SquMatrix *	gan_matT_addT_sym_q (Gan_Matrix A, Gan_Matrix B, Gan_SquMatrix *C)
	Macro: Add two matrices and write result into a symmetric matrix.
Gan_SquMatrix *	gan_matT_addT_sym_s (const Gan_Matrix A, const Gan_Matrix B)
	Macro: Add two matrices and return the result as a new symmetric matrix.
Gan_SquMatrix *	gan_mat_saddT_sym_q (const Gan_Matrix A, const Gan_SquMatrix B)
	Macro: Add matrix to itself and write result into a symmetric matrix.
Gan_SquMatrix *	gan_mat_saddT_sym_s (const Gan_Matrix *A)
	Macro: Add matrix to itself and return the result as a new symmetric matrix.
Gan_SquMatrix *	gan_matT_sadd_sym_q (const Gan_Matrix A, Gan_SquMatrix B)
	Macro: Add matrix to itself and write result into a symmetric matrix.
Gan_SquMatrix *	gan_matT_sadd_sym_s (const Gan_Matrix *A)
	Macro: Add matrix to itself and return the result as a new symmetric matrix.
Gan_Matrix *	gan_mat_sub_q (Gan_Matrix A, Gan_Matrix B, Gan_Matrix *C)
	Macro: Subtract two matrices and write result into a third.
Gan_Matrix *	gan_mat_sub_s (Gan_Matrix A, Gan_Matrix B)
	Macro: Subtract two matrices and return the result as a new matrix.
Gan_Matrix *	gan_mat_sub_i1 (Gan_Matrix A, Gan_Matrix B)
	Macro: Subtract two matrices and overwrite the first with the result.
Gan_Matrix *	gan_mat_sub_i2 (Gan_Matrix A, Gan_Matrix B)
	Macro: Subtract two matrices and overwrite the second with the result.
Gan_Matrix *	gan_mat_decrement (Gan_Matrix A, Gan_Matrix B)
	Macro: Decrement a matrix with another matrix.
Gan_Matrix *	gan_mat_subT_q (Gan_Matrix A, Gan_Matrix B, Gan_Matrix *C)
	Macro: Subtract two matrices, the second transposed, and write result into a third.
Gan_Matrix *	gan_mat_subT_s (Gan_Matrix A, Gan_Matrix B)
	Macro: Subtract two matrices, the second transposed, and return new result matrix.
Gan_Matrix *	gan_mat_decrementT (Gan_Matrix A, Gan_Matrix B)
	Macro: Decrement a matrix with the transpose of another matrix.
Gan_Vector *	gan_mat_multv_q (const Gan_Matrix A, const Gan_Vector x, Gan_Vector *y)
	Macro: Multiply matrix and a vector, writing the result into another vector.
Gan_Vector *	gan_mat_multv_s (const Gan_Matrix A, const Gan_Vector x)
	Macro: Multiply matrix and a vector, returning the result as a new vector.
Gan_Vector *	gan_matT_multv_q (const Gan_Matrix A, const Gan_Vector x, Gan_Vector *y)
	Macro: Multiply the transpose of a matrix by a vector.
Gan_Vector *	gan_matT_multv_s (const Gan_Matrix A, const Gan_Vector x)
	Macro: Multiply transpose of matrix by a vector.
Gan_Matrix *	gan_mat_rmult_q (const Gan_Matrix A, const Gan_Matrix B, Gan_Matrix *C)
	Macro: Multiply two matrices and write result into a third.
Gan_Matrix *	gan_mat_rmult_s (const Gan_Matrix A, const Gan_Matrix B)
	Macro: Multiply two matrices and return the result as a new matrix.
Gan_Matrix *	gan_mat_rmultT_q (const Gan_Matrix A, const Gan_Matrix B, Gan_Matrix *C)
	Macro: Multiply a matrix by the transpose of another and write result into a third.
Gan_Matrix *	gan_mat_rmultT_s (const Gan_Matrix A, const Gan_Matrix B)
	Macro: Multiply a matrix by the transpose of another and return a new matrix.
Gan_Matrix *	gan_matT_rmult_q (const Gan_Matrix A, const Gan_Matrix B, Gan_Matrix *C)
	Macro: Multiply the transpose of a matrix by another matrix.
Gan_Matrix *	gan_matT_rmult_s (const Gan_Matrix A, const Gan_Matrix B)
	Macro: Multiply the transpose of a matrix by another matrix.
Gan_Matrix *	gan_matT_rmultT_q (const Gan_Matrix A, const Gan_Matrix B, Gan_Matrix *C)
	Macro: Multiply the transpose of a matrix by the transpose of another matrix.
Gan_Matrix *	gan_matT_rmultT_s (const Gan_Matrix A, const Gan_Matrix B)
	Macro: Multiply the transpose of a matrix by the transpose of another matrix.
Gan_SquMatrix *	gan_mat_rmult_sym_q (const Gan_Matrix A, const Gan_Matrix B, Gan_SquMatrix *C)
	Macro: Multiply two matrices and write result into a symmetric matrix.
Gan_SquMatrix *	gan_mat_rmult_sym_s (const Gan_Matrix A, const Gan_Matrix B)
	Macro: Multiply two matrices and return the result as a new symmetric matrix.
Gan_SquMatrix *	gan_mat_rmultT_sym_q (const Gan_Matrix A, const Gan_Matrix B, Gan_SquMatrix *C)
	Macro: Multiply two matrices and write result into a symmetric matrix.
Gan_SquMatrix *	gan_mat_rmultT_sym_s (const Gan_Matrix A, const Gan_Matrix B)
	Macro: Multiply two matrices and return the result as a new symmetric matrix.
Gan_SquMatrix *	gan_matT_rmult_sym_q (const Gan_Matrix A, const Gan_Matrix B, Gan_SquMatrix *C)
	Macro: Multiply two matrices and write result into a symmetric matrix.
Gan_SquMatrix *	gan_matT_rmult_sym_s (const Gan_Matrix A, const Gan_Matrix B)
	Macro: Multiply two matrices and return the result as a new symmetric matrix.
Gan_SquMatrix *	gan_matT_rmultT_sym_q (const Gan_Matrix A, const Gan_Matrix B, Gan_SquMatrix *C)
	Macro: Multiply two matrices and write result into a symmetric matrix.
Gan_SquMatrix *	gan_matT_rmultT_sym_s (const Gan_Matrix A, const Gan_Matrix B)
	Macro: Multiply two matrices and return the result as a new symmetric matrix.
Gan_SquMatrix *	gan_mat_srmultT_q (const Gan_Matrix A, const Gan_SquMatrix B)
	Macro: Multiply matrix by itself and write result into a symmetric matrix.
Gan_SquMatrix *	gan_mat_srmultT_s (const Gan_Matrix *A)
	Macro: Multiply matrix by itself and return the result as a new symmetric matrix.
Gan_SquMatrix *	gan_mat_slmultT_q (const Gan_Matrix A, Gan_SquMatrix B)
	Macro: Multiply matrix by itself and write result into a symmetric matrix.
Gan_SquMatrix *	gan_mat_slmultT_s (const Gan_Matrix *A)
	Macro: Multiply matrix by itself and return the result as a new symmetric matrix.
Gan_Matrix *	gan_mat_invert_s (const Gan_Matrix *A)
	Macro: Inverts general square matrix.
Gan_Bool	gan_mat_same_dims (const Gan_Matrix A, const Gan_Matrix B)
	Macro: Checks that two matrices have the same number of rows and columns.
Gan_Matrix *	gan_mat_insert (Gan_Matrix A, unsigned long rA, unsigned long cA, const Gan_Matrix B, unsigned long rB, unsigned long cB, unsigned long rows, unsigned long cols)
	Macro: Insert part of generic matrix in another generic matrix.
Gan_Matrix *	gan_mat_insertT (Gan_Matrix A, unsigned long rA, unsigned long cA, const Gan_Matrix B, unsigned long rB, unsigned long cB, unsigned long rows, unsigned long cols)
	Macro: Insert transpose of part of generic matrix in another generic matrix.
Gan_Matrix *	gan_mat_insertv (Gan_Matrix A, unsigned long rA, unsigned long cA, const Gan_Vector x, unsigned long rx, unsigned long rows)
	Macro: Insert part of column vector in a generic matrix.
Gan_Matrix *	gan_mat_insertvT (Gan_Matrix A, unsigned long rA, unsigned long cA, const Gan_Vector x, unsigned long rx, unsigned long cols)
	Macro: Insert part of row vector in a generic matrix.
Gan_Bool	gan_mat_test_dims (const Gan_Matrix *A, unsigned long rows, unsigned long cols)
	Macro: Test dimensions of generic matrix.
size_t	gan_mat_data_size (unsigned long rows, unsigned long cols)
	Macro: Returns size of data array in bytes needed to hold matrix data.
Gan_Matrix *	gan_mat_extract_s (const Gan_Matrix *A, unsigned long r0, unsigned long c0, unsigned long rows, unsigned long cols)
	Macro: Extracts rectangular part of matrix.
Gan_Matrix *	gan_mat_fscanf_s (FILE fp, const char prefix, int prefix_len)
	Macro: Read matrix from file.
Gan_Matrix *	gan_mat_fread_s (FILE fp, gan_uint32 magic_number)
	Macro: Read matrix from file.
Gan_Matrix *	gan_mat_form_gen (Gan_Matrix A, unsigned long rows, unsigned long cols, double data, size_t data_size)
Gan_Bool	gan_mat_realloc_gen (Gan_Matrix *A, unsigned long rows, unsigned long cols)
Gan_Matrix *	gan_mat_add_gen (Gan_Matrix A, Gan_TposeFlag A_tr, Gan_Matrix B, Gan_TposeFlag B_tr, Gan_Matrix *C)
	Add general size matrices.
Gan_SquMatrix *	gan_mat_add_sym_gen (const Gan_Matrix A, Gan_TposeFlag A_tr, const Gan_Matrix B, Gan_TposeFlag B_tr, struct Gan_SquMatrix *C)
	Add general size matrices producing a symmetric matrix.
Gan_Matrix *	gan_mat_sub_gen (Gan_Matrix A, Gan_TposeFlag A_tr, Gan_Matrix B, Gan_TposeFlag B_tr, Gan_Matrix *C)
	Subtract general size matrices.
Gan_Vector *	gan_mat_multv_gen (const Gan_Matrix A, Gan_TposeFlag A_tr, const Gan_Vector x, Gan_Vector *y)
	Multiply matrix and a vector.
Gan_Matrix *	gan_mat_rmult_gen (const Gan_Matrix A, Gan_TposeFlag A_tr, const Gan_Matrix B, Gan_TposeFlag B_tr, Gan_Matrix *C)
Gan_SquMatrix *	gan_mat_rmult_sym_gen (const Gan_Matrix A, Gan_TposeFlag A_tr, const Gan_Matrix B, Gan_TposeFlag B_tr, struct Gan_SquMatrix *C)
Gan_Matrix *	gan_mat_insert_gen (Gan_Matrix A, unsigned long rA, unsigned long cA, const Gan_Matrix B, Gan_TposeFlag B_tr, unsigned long rB, unsigned long cB, unsigned long rows, unsigned long cols)
	Insert part of generic matrix in another generic matrix.
Gan_Matrix *	gan_mat_insertv_gen (Gan_Matrix A, unsigned long rA, unsigned long cA, const struct Gan_Vector x, Gan_TposeFlag x_tr, unsigned long rx, unsigned long size)