/usr/include/flint/fq_mat_templates.h is in libflint-dev 2.5.2-3.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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This file is part of FLINT.
FLINT is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
FLINT is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with FLINT; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
=============================================================================*/
/******************************************************************************
Copyright (C) 2013 Mike Hansen
******************************************************************************/
#ifdef T
#include "flint.h"
#include "templates.h"
#include "ulong_extras.h"
#ifdef __cplusplus
extern "C" {
#endif
typedef struct
{
TEMPLATE(T, struct) * entries;
slong r;
slong c;
TEMPLATE(T, struct) ** rows;
} TEMPLATE(T, mat_struct);
typedef TEMPLATE(T, mat_struct) TEMPLATE(T, mat_t)[1];
/* Memory management ********************************************************/
FLINT_DLL void TEMPLATE(T, mat_init)(TEMPLATE(T, mat_t) mat, slong rows, slong cols,
const TEMPLATE(T, ctx_t) ctx);
FLINT_DLL void TEMPLATE(T, mat_init_set)(TEMPLATE(T, mat_t) mat, const TEMPLATE(T, mat_t) src,
const TEMPLATE(T, ctx_t) ctx);
FLINT_DLL void TEMPLATE(T, mat_swap)(TEMPLATE(T, mat_t) mat1, TEMPLATE(T, mat_t) mat2,
const TEMPLATE(T, ctx_t) ctx);
FLINT_DLL void TEMPLATE(T, mat_set)(TEMPLATE(T, mat_t) mat1, const TEMPLATE(T, mat_t) mat2,
const TEMPLATE(T, ctx_t) ctx);
FLINT_DLL void TEMPLATE(T, mat_clear)(TEMPLATE(T, mat_t) mat, const TEMPLATE(T, ctx_t) ctx);
FLINT_DLL int TEMPLATE(T, mat_equal)(const TEMPLATE(T, mat_t) mat1,
const TEMPLATE(T, mat_t) mat2,
const TEMPLATE(T, ctx_t) ctx);
FLINT_DLL int TEMPLATE(T, mat_is_zero)(const TEMPLATE(T, mat_t) mat,
const TEMPLATE(T, ctx_t) ctx);
FQ_MAT_TEMPLATES_INLINE int
TEMPLATE(T, mat_is_empty)(const TEMPLATE(T, mat_t) mat,
const TEMPLATE(T, ctx_t) ctx)
{
return (mat->r == 0) || (mat->c == 0);
}
FQ_MAT_TEMPLATES_INLINE int
TEMPLATE(T, mat_is_square)(const TEMPLATE(T, mat_t) mat,
const TEMPLATE(T, ctx_t) ctx)
{
return (mat->r == mat->c);
}
FQ_MAT_TEMPLATES_INLINE TEMPLATE(T, struct) *
TEMPLATE(T, mat_entry)(const TEMPLATE(T, mat_t) mat, slong i, slong j)
{
return mat->rows[i] + j;
}
FQ_MAT_TEMPLATES_INLINE void
TEMPLATE(T, mat_entry_set)(TEMPLATE(T, mat_t) mat, slong i, slong j,
const TEMPLATE(T, t) x,
const TEMPLATE(T, ctx_t) ctx)
{
TEMPLATE(T, set)(TEMPLATE(T, mat_entry)(mat, i, j), x, ctx);
}
FQ_MAT_TEMPLATES_INLINE slong
TEMPLATE(T, mat_nrows)(const TEMPLATE(T, mat_t) mat ,
const TEMPLATE(T, ctx_t) ctx)
{
return mat->r;
}
FQ_MAT_TEMPLATES_INLINE slong
TEMPLATE(T, mat_ncols)(const TEMPLATE(T, mat_t) mat,
const TEMPLATE(T, ctx_t) ctx)
{
return mat->c;
}
/* Assignment ***************************************************************/
FLINT_DLL void TEMPLATE(T, mat_zero)(TEMPLATE(T, mat_t) A, const TEMPLATE(T, ctx_t) ctx);
/* Windows and concatenation */
FLINT_DLL void TEMPLATE(T, mat_window_init)(TEMPLATE(T, mat_t) window,
const TEMPLATE(T, mat_t) mat,
slong r1, slong c1, slong r2, slong c2,
const TEMPLATE(T, ctx_t) ctx);
FLINT_DLL void TEMPLATE(T, mat_window_clear)(TEMPLATE(T, mat_t) window,
const TEMPLATE(T, ctx_t) ctx);
FLINT_DLL void TEMPLATE(T, mat_concat_horizontal)(TEMPLATE(T, mat_t) res,
const TEMPLATE(T, mat_t) mat1, const TEMPLATE(T, mat_t) mat2,
const TEMPLATE(T, ctx_t) ctx);
FLINT_DLL void TEMPLATE(T, mat_concat_vertical)(TEMPLATE(T, mat_t) res,
const TEMPLATE(T, mat_t) mat1, const TEMPLATE(T, mat_t) mat2,
const TEMPLATE(T, ctx_t) ctx);
/* Input and output *********************************************************/
FLINT_DLL int TEMPLATE(T, mat_fprint)(FILE * file, const TEMPLATE(T, mat_t) mat,
const TEMPLATE(T, ctx_t) ctx);
FLINT_DLL int TEMPLATE(T, mat_fprint_pretty)(FILE * file, const TEMPLATE(T, mat_t) mat,
const TEMPLATE(T, ctx_t) ctx);
FQ_MAT_TEMPLATES_INLINE
int TEMPLATE(T, mat_print)(const TEMPLATE(T, mat_t) mat,
const TEMPLATE(T, ctx_t) ctx)
{
return TEMPLATE(T, mat_fprint)(stdout, mat, ctx);
}
FQ_MAT_TEMPLATES_INLINE
int TEMPLATE(T, mat_print_pretty)(const TEMPLATE(T, mat_t) mat,
const TEMPLATE(T, ctx_t) ctx)
{
return TEMPLATE(T, mat_fprint_pretty)(stdout, mat, ctx);
}
/* TODO: Read functions */
/* Random matrix generation *************************************************/
FLINT_DLL void TEMPLATE(T, mat_randtest)(TEMPLATE(T, mat_t) mat, flint_rand_t state,
const TEMPLATE(T, ctx_t) ctx);
FLINT_DLL void TEMPLATE(T, mat_randrank)(TEMPLATE(T, mat_t) mat, flint_rand_t state,
slong rank, const TEMPLATE(T, ctx_t) ctx);
FLINT_DLL int TEMPLATE(T, mat_randpermdiag)(TEMPLATE(T, mat_t) mat, flint_rand_t state,
TEMPLATE(T, struct) * diag, slong n,
const TEMPLATE(T, ctx_t) ctx);
FLINT_DLL void TEMPLATE(T, mat_randops)(TEMPLATE(T, mat_t) mat, slong count,
flint_rand_t state, const TEMPLATE(T, ctx_t) ctx);
FLINT_DLL void TEMPLATE(T, mat_randtril)(TEMPLATE(T, mat_t) mat, flint_rand_t state,
int unit, const TEMPLATE(T, ctx_t) ctx);
FLINT_DLL void TEMPLATE(T, mat_randtriu)(TEMPLATE(T, mat_t) mat, flint_rand_t state,
int unit, const TEMPLATE(T, ctx_t) ctx);
/* Norms */
/* Transpose */
/* Addition and subtraction */
FLINT_DLL void TEMPLATE(T, mat_add)(TEMPLATE(T, mat_t) C,
const TEMPLATE(T, mat_t) A,
const TEMPLATE(T, mat_t) B,
const TEMPLATE(T, ctx_t) ctx);
FLINT_DLL void TEMPLATE(T, mat_sub)(TEMPLATE(T, mat_t) C,
const TEMPLATE(T, mat_t) A,
const TEMPLATE(T, mat_t) B,
const TEMPLATE(T, ctx_t) ctx);
FLINT_DLL void TEMPLATE(T, mat_neg)(TEMPLATE(T, mat_t) B,
const TEMPLATE(T, mat_t) A,
const TEMPLATE(T, ctx_t) ctx);
FLINT_DLL void TEMPLATE(T, mat_submul)(TEMPLATE(T, mat_t) D,
const TEMPLATE(T, mat_t) C,
const TEMPLATE(T, mat_t) A,
const TEMPLATE(T, mat_t) B,
const TEMPLATE(T, ctx_t) ctx);
/* Scalar operations */
/* Multiplication */
FLINT_DLL void TEMPLATE(T, mat_mul)(TEMPLATE(T, mat_t) C,
const TEMPLATE(T, mat_t) A,
const TEMPLATE(T, mat_t) B,
const TEMPLATE(T, ctx_t) ctx);
FLINT_DLL void TEMPLATE(T, mat_mul_classical)(TEMPLATE(T, mat_t) C,
const TEMPLATE(T, mat_t) A,
const TEMPLATE(T, mat_t) B,
const TEMPLATE(T, ctx_t) ctx);
FLINT_DLL void TEMPLATE(T, mat_mul_KS)(TEMPLATE(T, mat_t) C,
const TEMPLATE(T, mat_t) A,
const TEMPLATE(T, mat_t) B,
const TEMPLATE(T, ctx_t) ctx);
FLINT_DLL slong TEMPLATE(T, mat_lu)(slong * P,
TEMPLATE(T, mat_t) A,
int rank_check,
const TEMPLATE(T, ctx_t) ctx);
FLINT_DLL slong TEMPLATE(T, mat_lu_recursive)(slong * P,
TEMPLATE(T, mat_t) A,
int rank_check,
const TEMPLATE(T, ctx_t) ctx);
FLINT_DLL slong TEMPLATE(T, mat_lu_classical)(slong * P, TEMPLATE(T, mat_t) A, int rank_check,
const TEMPLATE(T, ctx_t) ctx);
/* Solving *******************************************************************/
FLINT_DLL slong TEMPLATE(T, mat_rref)(TEMPLATE(T, mat_t) A, const TEMPLATE(T, ctx_t) ctx);
FLINT_DLL slong TEMPLATE(T, mat_nullspace)(TEMPLATE(T, mat_t) X, const TEMPLATE(T, mat_t) A,
const TEMPLATE(T, ctx_t) ctx);
FLINT_DLL slong TEMPLATE(T, mat_rank)(const TEMPLATE(T, mat_t) A,
const TEMPLATE(T, ctx_t) ctx);
FLINT_DLL void TEMPLATE(T, mat_solve_tril)(TEMPLATE(T, mat_t) X, const TEMPLATE(T, mat_t) L,
const TEMPLATE(T, mat_t) B, int unit,
const TEMPLATE(T, ctx_t) ctx);
FLINT_DLL void TEMPLATE(T, mat_solve_tril_classical)(TEMPLATE(T, mat_t) X,
const TEMPLATE(T, mat_t) L,
const TEMPLATE(T, mat_t) B,
int unit,
const TEMPLATE(T, ctx_t) ctx);
FLINT_DLL void TEMPLATE(T, mat_solve_tril_recursive)(TEMPLATE(T, mat_t) X,
const TEMPLATE(T, mat_t) L,
const TEMPLATE(T, mat_t) B,
int unit,
const TEMPLATE(T, ctx_t) ctx);
FLINT_DLL void TEMPLATE(T, mat_solve_triu)(TEMPLATE(T, mat_t) X, const TEMPLATE(T, mat_t) U,
const TEMPLATE(T, mat_t) B, int unit,
const TEMPLATE(T, ctx_t) ctx);
FLINT_DLL void TEMPLATE(T, mat_solve_triu_classical)(TEMPLATE(T, mat_t) X,
const TEMPLATE(T, mat_t) U,
const TEMPLATE(T, mat_t) B,
int unit,
const TEMPLATE(T, ctx_t) ctx);
FLINT_DLL void TEMPLATE(T, mat_solve_triu_recursive)(TEMPLATE(T, mat_t) X,
const TEMPLATE(T, mat_t) U,
const TEMPLATE(T, mat_t) B,
int unit,
const TEMPLATE(T, ctx_t) ctx);
#ifdef __cplusplus
}
#endif
#endif
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