/usr/include/flint/fq_nmod.h is in libflint-dev 2.5.2-17build1.
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) 2011 Sebastian Pancratz
Copyright (C) 2012 Andres Goens
Copyright (C) 2013 Mike Hansen
******************************************************************************/
#ifndef FQ_NMOD_H
#define FQ_NMOD_H
#ifdef FQ_NMOD_INLINES_C
#define FQ_NMOD_INLINE FLINT_DLL
#define FQ_TEMPLATES_INLINE FLINT_DLL
#else
#define FQ_NMOD_INLINE static __inline__
#define FQ_TEMPLATES_INLINE static __inline__
#endif
#include "nmod_poly.h"
#include "ulong_extras.h"
/* Data types and context ****************************************************/
#ifdef __cplusplus
extern "C" {
#endif
typedef nmod_poly_t fq_nmod_t;
typedef nmod_poly_struct fq_nmod_struct;
typedef struct
{
fmpz p;
nmod_t mod;
int sparse_modulus;
mp_limb_t *a;
slong *j;
slong len;
nmod_poly_t modulus;
nmod_poly_t inv;
char *var;
}
fq_nmod_ctx_struct;
typedef fq_nmod_ctx_struct fq_nmod_ctx_t[1];
FLINT_DLL void fq_nmod_ctx_init(fq_nmod_ctx_t ctx,
const fmpz_t p, slong d, const char *var);
FLINT_DLL int _fq_nmod_ctx_init_conway(fq_nmod_ctx_t ctx,
const fmpz_t p, slong d, const char *var);
FLINT_DLL void fq_nmod_ctx_init_conway(fq_nmod_ctx_t ctx,
const fmpz_t p, slong d, const char *var);
FLINT_DLL void fq_nmod_ctx_init_modulus(fq_nmod_ctx_t ctx,
const nmod_poly_t modulus,
const char *var);
FLINT_DLL void fq_nmod_ctx_randtest(fq_nmod_ctx_t ctx, flint_rand_t state);
FLINT_DLL void fq_nmod_ctx_randtest_reducible(fq_nmod_ctx_t ctx, flint_rand_t state);
FLINT_DLL void fq_nmod_ctx_clear(fq_nmod_ctx_t ctx);
FQ_NMOD_INLINE slong fq_nmod_ctx_degree(const fq_nmod_ctx_t ctx)
{
return ctx->modulus->length - 1;
}
#define fq_nmod_ctx_prime(ctx) (&((ctx)->p))
FQ_NMOD_INLINE void fq_nmod_ctx_order(fmpz_t f, const fq_nmod_ctx_t ctx)
{
fmpz_set(f, fq_nmod_ctx_prime(ctx));
fmpz_pow_ui(f, f, fq_nmod_ctx_degree(ctx));
}
/* TODO */
FQ_NMOD_INLINE int fq_nmod_ctx_fprint(FILE * file, const fq_nmod_ctx_t ctx)
{
int r;
slong i, k;
r = flint_fprintf(file, "p = ");
if (r <= 0)
return r;
r = fmpz_fprint(file, fq_nmod_ctx_prime(ctx));
if (r <= 0)
return r;
r = flint_fprintf(file, "\nd = %wd\nf(X) = ", ctx->j[ctx->len - 1]);
if (r <= 0)
return r;
r = flint_fprintf(file, "%wu", ctx->a[0]);
if (r <= 0)
return r;
for (k = 1; k < ctx->len; k++)
{
i = ctx->j[k];
r = flint_fprintf(file, " + ");
if (r <= 0)
return r;
if (ctx->a[k] == UWORD(1))
{
if (i == 1)
r = flint_fprintf(file, "X");
else
r = flint_fprintf(file, "X^%wd", i);
if (r <= 0)
return r;
}
else
{
r = flint_fprintf(file, "%wu", ctx->a[k]);
if (r <= 0)
return r;
if (i == 1)
r = flint_fprintf(file, "*X");
else
r = flint_fprintf(file, "*X^%wd", i);
if (r <= 0)
return r;
}
}
r = flint_fprintf(file, "\n");
return r;
}
FQ_NMOD_INLINE void fq_nmod_ctx_print(const fq_nmod_ctx_t ctx)
{
fq_nmod_ctx_fprint(stdout, ctx);
}
/* Memory managment *********************************************************/
FQ_NMOD_INLINE void fq_nmod_init(fq_nmod_t rop, const fq_nmod_ctx_t ctx)
{
nmod_poly_init2_preinv(rop, ctx->mod.n, ctx->mod.ninv, fq_nmod_ctx_degree(ctx));
}
FQ_NMOD_INLINE void fq_nmod_init2(fq_nmod_t rop, const fq_nmod_ctx_t ctx)
{
nmod_poly_init2_preinv(rop, ctx->mod.n, ctx->mod.ninv, fq_nmod_ctx_degree(ctx));
}
FQ_NMOD_INLINE void fq_nmod_clear(fq_nmod_t rop, const fq_nmod_ctx_t ctx)
{
nmod_poly_clear(rop);
}
FQ_NMOD_INLINE
void _fq_nmod_sparse_reduce(mp_limb_t *R, slong lenR, const fq_nmod_ctx_t ctx)
{
const slong d = ctx->j[ctx->len - 1];
NMOD_VEC_NORM(R, lenR);
if (lenR > d)
{
slong i, k;
for (i = lenR - 1; i >= d; i--)
{
for (k = ctx->len - 2; k >= 0; k--)
{
R[ctx->j[k] + i - d] = n_submod(R[ctx->j[k] + i - d],
n_mulmod2_preinv(R[i], ctx->a[k], ctx->mod.n, ctx->mod.ninv),
ctx->mod.n);
}
R[i] = UWORD(0);
}
}
}
FQ_NMOD_INLINE void _fq_nmod_dense_reduce(mp_limb_t* R, slong lenR, const fq_nmod_ctx_t ctx)
{
mp_limb_t *q, *r;
if (lenR < ctx->modulus->length)
{
_nmod_vec_reduce(R, R, lenR, ctx->mod);
return;
}
q = _nmod_vec_init(lenR - ctx->modulus->length + 1);
r = _nmod_vec_init(ctx->modulus->length - 1);
_nmod_poly_divrem_newton_n_preinv(q, r, R, lenR,
ctx->modulus->coeffs, ctx->modulus->length,
ctx->inv->coeffs, ctx->inv->length,
ctx->mod);
_nmod_vec_set(R, r, ctx->modulus->length - 1);
_nmod_vec_clear(q);
_nmod_vec_clear(r);
}
FQ_NMOD_INLINE void _fq_nmod_reduce(mp_limb_t* R, slong lenR, const fq_nmod_ctx_t ctx)
{
if (ctx->sparse_modulus)
_fq_nmod_sparse_reduce(R, lenR, ctx);
else
_fq_nmod_dense_reduce(R, lenR, ctx);
}
FQ_NMOD_INLINE void fq_nmod_reduce(fq_nmod_t rop, const fq_nmod_ctx_t ctx)
{
_fq_nmod_reduce(rop->coeffs, rop->length, ctx);
rop->length = FLINT_MIN(rop->length, ctx->modulus->length - 1);
_nmod_poly_normalise(rop);
}
/* Basic arithmetic **********************************************************/
FLINT_DLL void fq_nmod_add(fq_nmod_t rop, const fq_nmod_t op1, const fq_nmod_t op2, const fq_nmod_ctx_t ctx);
FLINT_DLL void fq_nmod_sub(fq_nmod_t rop, const fq_nmod_t op1, const fq_nmod_t op2, const fq_nmod_ctx_t ctx);
FLINT_DLL void fq_nmod_sub_one(fq_nmod_t rop, const fq_nmod_t op1, const fq_nmod_ctx_t ctx);
FLINT_DLL void fq_nmod_neg(fq_nmod_t rop, const fq_nmod_t op1, const fq_nmod_ctx_t ctx);
FLINT_DLL void fq_nmod_mul(fq_nmod_t rop, const fq_nmod_t op1, const fq_nmod_t op2, const fq_nmod_ctx_t ctx);
FLINT_DLL void fq_nmod_mul_fmpz(fq_nmod_t rop, const fq_nmod_t op, const fmpz_t x, const fq_nmod_ctx_t ctx);
FLINT_DLL void fq_nmod_mul_si(fq_nmod_t rop, const fq_nmod_t op, slong x, const fq_nmod_ctx_t ctx);
FLINT_DLL void fq_nmod_mul_ui(fq_nmod_t rop, const fq_nmod_t op, ulong x, const fq_nmod_ctx_t ctx);
FLINT_DLL void fq_nmod_sqr(fq_nmod_t rop, const fq_nmod_t op, const fq_nmod_ctx_t ctx);
FLINT_DLL void fq_nmod_inv(fq_nmod_t rop, const fq_nmod_t op1, const fq_nmod_ctx_t ctx);
FLINT_DLL void _fq_nmod_pow(mp_limb_t *rop, const mp_limb_t *op, slong len, const fmpz_t e, const fq_nmod_ctx_t ctx);
FLINT_DLL void fq_nmod_pow(fq_nmod_t rop, const fq_nmod_t op1, const fmpz_t e, const fq_nmod_ctx_t ctx);
FLINT_DLL void fq_nmod_pow_ui(fq_nmod_t rop, const fq_nmod_t op1, const ulong e, const fq_nmod_ctx_t ctx);
FLINT_DLL void fq_nmod_pth_root(fq_nmod_t rop, const fq_nmod_t op1, const fq_nmod_ctx_t ctx);
/* Randomisation *************************************************************/
FLINT_DLL void fq_nmod_randtest(fq_nmod_t rop, flint_rand_t state, const fq_nmod_ctx_t ctx);
FLINT_DLL void fq_nmod_randtest_dense(fq_nmod_t rop, flint_rand_t state, const fq_nmod_ctx_t ctx);
FLINT_DLL void fq_nmod_randtest_not_zero(fq_nmod_t rop, flint_rand_t state, const fq_nmod_ctx_t ctx);
/* Comparison ****************************************************************/
FQ_NMOD_INLINE int fq_nmod_equal(const fq_nmod_t op1, const fq_nmod_t op2,
const fq_nmod_ctx_t ctx)
{
return nmod_poly_equal(op1, op2);
}
FQ_NMOD_INLINE int fq_nmod_is_zero(const fq_nmod_t op, const fq_nmod_ctx_t ctx)
{
return nmod_poly_is_zero(op);
}
FQ_NMOD_INLINE int fq_nmod_is_one(const fq_nmod_t op, const fq_nmod_ctx_t ctx)
{
return nmod_poly_is_one(op);
}
/* Assignments and conversions ***********************************************/
FQ_NMOD_INLINE void fq_nmod_set(fq_nmod_t rop, const fq_nmod_t op,
const fq_nmod_ctx_t ctx)
{
nmod_poly_set(rop, op);
}
FQ_NMOD_INLINE void fq_nmod_set_fmpz(fq_nmod_t rop, const fmpz_t x, const fq_nmod_ctx_t ctx)
{
fmpz_t rx;
fmpz_init(rx);
fmpz_mod(rx, x, fq_nmod_ctx_prime(ctx));
nmod_poly_zero(rop);
nmod_poly_set_coeff_ui(rop, 0, fmpz_get_ui(rx));
fmpz_clear(rx);
}
FQ_NMOD_INLINE void fq_nmod_set_si(fq_nmod_t rop, const slong x, const fq_nmod_ctx_t ctx)
{
mp_limb_t rx = x < 0 ? -x : x;
rx = n_mod2_preinv(rx, ctx->mod.n, ctx->mod.ninv);
if (x < 0)
rx = ctx->mod.n - rx;
nmod_poly_zero(rop);
nmod_poly_set_coeff_ui(rop, 0, rx);
}
FQ_NMOD_INLINE void fq_nmod_set_ui(fq_nmod_t rop, const ulong x, const fq_nmod_ctx_t ctx)
{
nmod_poly_zero(rop);
nmod_poly_set_coeff_ui(rop, 0, n_mod2_preinv(x, ctx->mod.n, ctx->mod.ninv));
}
FQ_NMOD_INLINE void fq_nmod_swap(fq_nmod_t op1, fq_nmod_t op2,
const fq_nmod_ctx_t ctx)
{
nmod_poly_swap(op1, op2);
}
FQ_NMOD_INLINE void fq_nmod_zero(fq_nmod_t rop, const fq_nmod_ctx_t ctx)
{
nmod_poly_zero(rop);
}
FQ_NMOD_INLINE void fq_nmod_one(fq_nmod_t rop, const fq_nmod_ctx_t ctx)
{
nmod_poly_one(rop);
}
FQ_NMOD_INLINE void fq_nmod_gen(fq_nmod_t rop, const fq_nmod_ctx_t ctx)
{
nmod_poly_zero(rop);
nmod_poly_set_coeff_ui(rop, 0, 0);
nmod_poly_set_coeff_ui(rop, 1, 1);
}
/* Output ********************************************************************/
FQ_NMOD_INLINE
int fq_nmod_fprint(FILE * file, const fq_nmod_t op, const fq_nmod_ctx_t ctx)
{
return nmod_poly_fprint(file, op);
}
FQ_NMOD_INLINE
void fq_nmod_print(const fq_nmod_t op, const fq_nmod_ctx_t ctx)
{
nmod_poly_print(op);
}
FQ_NMOD_INLINE
int fq_nmod_fprint_pretty(FILE * file, const fq_nmod_t op, const fq_nmod_ctx_t ctx)
{
return nmod_poly_fprint_pretty(file, op, ctx->var);
}
FQ_NMOD_INLINE
void fq_nmod_print_pretty(const fq_nmod_t op, const fq_nmod_ctx_t ctx)
{
nmod_poly_print_pretty(op, ctx->var);
}
FLINT_DLL char * fq_nmod_get_str(const fq_nmod_t op, const fq_nmod_ctx_t ctx);
FLINT_DLL char * fq_nmod_get_str_pretty(const fq_nmod_t op, const fq_nmod_ctx_t ctx);
/* Special functions *********************************************************/
FLINT_DLL void _fq_nmod_trace(fmpz_t rop, const mp_limb_t *op, slong len,
const fq_nmod_ctx_t ctx);
FLINT_DLL void fq_nmod_trace(fmpz_t rop, const fq_nmod_t op, const fq_nmod_ctx_t ctx);
FLINT_DLL void _fq_nmod_frobenius(mp_limb_t *rop, const mp_limb_t *op, slong len, slong e,
const fq_nmod_ctx_t ctx);
FLINT_DLL void fq_nmod_frobenius(fq_nmod_t rop, const fq_nmod_t op, slong e, const fq_nmod_ctx_t ctx);
FLINT_DLL void _fq_nmod_norm(fmpz_t rop, const mp_limb_t *op, slong len,
const fq_nmod_ctx_t ctx);
FLINT_DLL void fq_nmod_norm(fmpz_t rop, const fq_nmod_t op, const fq_nmod_ctx_t ctx);
/* Bit packing ******************************************************/
FLINT_DLL void fq_nmod_bit_pack(fmpz_t f, const fq_nmod_t op, mp_bitcnt_t bit_size,
const fq_nmod_ctx_t ctx);
FLINT_DLL void fq_nmod_bit_unpack(fq_nmod_t rop, const fmpz_t f, mp_bitcnt_t bit_size,
const fq_nmod_ctx_t ctx);
#ifdef T
#undef T
#endif
#define T fq_nmod
#define CAP_T FQ_NMOD
#include "fq_templates.h"
#undef CAP_T
#undef T
#ifdef __cplusplus
}
#endif
#endif
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