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fp.h
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fp.h
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/*=============================================================================
This file is part of ELLMUL
ELLMUL 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 3 of the License, or
(at your option) any later version.
ELLMUL 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 ELLMUL if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
=============================================================================*/
/******************************************************************************
Copyright (C) 2017 Jean-Pierre Flori
******************************************************************************/
#ifndef FP_H
#define FP_H
#include "fmpz.h"
typedef fmpz_t fp_t;
typedef fmpz fp;
typedef struct
{
fmpz_t p;
/* For sparse p; currently unused */
int sparse_modulus;
slong *j;
slong *len;
/* For faster division */
fmpz_preinvn_t pinv;
/* For REDC */
mp_bitcnt_t b_exp;
fmpz_t b_square;
fmpz_t mpinv;
}
fp_ctx_struct;
typedef fp_ctx_struct fp_ctx_t[1];
void fp_ctx_init(fp_ctx_t ctx, const fmpz_t p);
void fp_ctx_clear(fp_ctx_t ctx);
static __inline__
void fp_init(fp_t rop, const fp_ctx_t p)
{
fmpz_init(rop);
}
static __inline__
void fp_clear(fp_t rop, const fp_ctx_t p)
{
fmpz_clear(rop);
}
static __inline__
void fp_set(fp_t rop, const fp_t op, const fp_ctx_t p)
{
fmpz_set(rop, op);
}
static __inline__
void fp_set_fmpz(fp_t rop, const fmpz_t op, const fp_ctx_t p)
{
fmpz_set(rop, op); /* FIXME */
}
static __inline__
void fp_set_ui(fp_t rop, slong op, const fp_ctx_t p)
{
fmpz_set_ui(rop, op); /* FIXME */
}
static __inline__
void fp_set_str(fp_t rop, char * str, slong base, const fp_ctx_t p)
{
fmpz_set_str(rop, str, base); /* FIXME */
}
static __inline__
void fp_zero(fp_t rop, const fp_ctx_t p)
{
fmpz_zero(rop);
}
static __inline__
void fp_one(fp_t rop, const fp_ctx_t p)
{
fmpz_one(rop);
}
static __inline__
void fp_swap(fp_t rop, fp_t op, const fp_ctx_t p)
{
fmpz_swap(rop, op);
}
static __inline__
void fp_add(fp_t rop, const fp_t op1, const fp_t op2, const fp_ctx_t ctx)
{
fmpz_add(rop, op1, op2);
if (fmpz_cmp(rop, ctx->p) >= 0)
fmpz_sub(rop, rop, ((ctx)->p));
}
static __inline__
void fp_sub(fp_t rop, const fp_t op1, const fp_t op2, const fp_ctx_t ctx)
{
fmpz_sub(rop, op1, op2);
if (fmpz_sgn(rop) < 0)
fmpz_add(rop, rop, ((ctx)->p));
}
void fp_mul(fp_t rop, const fp_t op1, const fp_t op2, const fp_ctx_t ctx);
void fp_mul_ui(fp_t rop, const fp_t op1, ulong op2, const fp_ctx_t ctx);
static __inline__
void fp_sqr(fp_t rop, const fp_t op, const fp_ctx_t ctx)
{
fp_mul(rop, op, op, ctx);
}
void fp_redc(fp_t rop, const fp_t op, const fp_ctx_t ctx);
void fp_mul_redc(fp_t rop, const fp_t op1, const fp_t op2, const fp_ctx_t ctx);
static __inline__
void fp_sqr_redc(fp_t rop, const fp_t op, const fp_ctx_t ctx)
{
fp_mul_redc(rop, op, op, ctx);
}
void fp_redcify(fp_t rop, const fp_t op, const fp_ctx_t ctx);
void fp_unredcify(fp_t rop, const fp_t op, const fp_ctx_t ctx);
void fp_mul_redc_mpir(fp_t rop, const fp_t op1, const fp_t op2, const fp_ctx_t ctx);
void fp_sqr_redc_mpir(fp_t rop, const fp_t op, const fp_ctx_t ctx);
void fp_mul_redc_cios(fp_t rop, const fp_t op1, const fp_t op2, const fp_ctx_t ctx);
static __inline__
void fp_sqr_redc_cios(fp_t rop, const fp_t op, const fp_ctx_t ctx)
{
fp_mul_redc_cios(rop, op, op, ctx);
}
static __inline__
void fp_inv(fp_t rop, const fp_t op, const fp_ctx_t ctx)
{
fmpz_invmod(rop, op, ((ctx)->p));
}
#endif