pqc/external/flint-2.4.3/padic.h

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2014-05-18 22:03:37 +00:00
/*=============================================================================
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, 2012 Sebastian Pancratz
******************************************************************************/
#ifndef PADIC_H
#define PADIC_H
#undef ulong
#define ulong ulongxx /* interferes with system includes */
#include <stdlib.h>
#include <stdio.h>
#undef ulong
#include <gmp.h>
#define ulong mp_limb_t
#include "flint.h"
#include "fmpz.h"
#include "fmpq.h"
#include "fmpz_vec.h"
#include "ulong_extras.h"
#ifdef __cplusplus
extern "C" {
#endif
#define PADIC_DEFAULT_PREC WORD(20)
#define PADIC_TEST_PREC_MIN WORD(-100)
#define PADIC_TEST_PREC_MAX WORD(100)
typedef struct {
fmpz u;
slong v;
slong N;
} padic_struct;
typedef padic_struct padic_t[1];
#define padic_unit(x) (&((x)->u))
#define padic_val(x) ((x)->v)
#define padic_prec(x) ((x)->N)
enum padic_print_mode
{
PADIC_TERSE,
PADIC_SERIES,
PADIC_VAL_UNIT
};
typedef struct {
fmpz_t p;
double pinv;
fmpz *pow;
slong min;
slong max;
enum padic_print_mode mode;
} padic_ctx_struct;
typedef padic_ctx_struct padic_ctx_t[1];
typedef struct {
slong n;
fmpz *pow;
} padic_inv_struct;
typedef padic_inv_struct padic_inv_t[1];
/* Context *******************************************************************/
void padic_ctx_init(padic_ctx_t ctx, const fmpz_t p, slong min, slong max,
enum padic_print_mode mode);
void padic_ctx_clear(padic_ctx_t ctx);
static __inline__
int _padic_ctx_pow_ui(fmpz_t rop, ulong e, const padic_ctx_t ctx)
{
if (ctx->min <= (slong) e && (slong) e < ctx->max)
{
*rop = *(ctx->pow + (e - ctx->min));
return 0;
}
else
{
slong l = (slong) e;
if (l < 0)
{
flint_printf("WTF??\n");
flint_printf("e = %wu\n", e);
flint_printf("l = %wd\n", l);
abort();
}
fmpz_init(rop);
fmpz_pow_ui(rop, ctx->p, e);
return 1;
}
}
/* Memory management *********************************************************/
void padic_init(padic_t rop);
void padic_init2(padic_t rop, slong N);
void padic_clear(padic_t rop);
static __inline__ void _padic_canonicalise(padic_t rop, const padic_ctx_t ctx)
{
if (!fmpz_is_zero(padic_unit(rop)))
{
padic_val(rop) += _fmpz_remove(padic_unit(rop), ctx->p, ctx->pinv);
}
else
{
padic_val(rop) = 0;
}
}
void _padic_reduce(padic_t rop, const padic_ctx_t ctx);
void padic_reduce(padic_t rop, const padic_ctx_t ctx);
/* Randomisation *************************************************************/
void padic_randtest(padic_t rop, flint_rand_t state, const padic_ctx_t ctx);
void padic_randtest_not_zero(padic_t rop, flint_rand_t state,
const padic_ctx_t ctx);
void padic_randtest_int(padic_t rop, flint_rand_t state,
const padic_ctx_t ctx);
/* Assignments and conversions ***********************************************/
void padic_set(padic_t rop, const padic_t op, const padic_ctx_t ctx);
void padic_set_si(padic_t rop, slong op, const padic_ctx_t ctx);
void padic_set_ui(padic_t rop, ulong op, const padic_ctx_t ctx);
void padic_set_fmpz(padic_t rop, const fmpz_t op, const padic_ctx_t ctx);
void padic_set_fmpq(padic_t rop, const fmpq_t op, const padic_ctx_t ctx);
void padic_set_mpz(padic_t rop, const mpz_t op, const padic_ctx_t ctx);
void padic_set_mpq(padic_t rop, const mpq_t op, const padic_ctx_t ctx);
void padic_get_fmpz(fmpz_t rop, const padic_t op, const padic_ctx_t ctx);
void padic_get_fmpq(fmpq_t rop, const padic_t op, const padic_ctx_t ctx);
void padic_get_mpz(mpz_t rop, const padic_t op, const padic_ctx_t ctx);
void padic_get_mpq(mpq_t rop, const padic_t op, const padic_ctx_t ctx);
static __inline__ void padic_swap(padic_t op1, padic_t op2)
{
slong t;
fmpz_swap(padic_unit(op1), padic_unit(op2));
t = padic_val(op1);
padic_val(op1) = padic_val(op2);
padic_val(op2) = t;
t = padic_prec(op1);
padic_prec(op1) = padic_prec(op2);
padic_prec(op2) = t;
}
static __inline__ void padic_zero(padic_t rop)
{
fmpz_zero(padic_unit(rop));
padic_val(rop) = 0;
}
static __inline__ void padic_one(padic_t rop)
{
if (padic_prec(rop) > 0)
{
fmpz_one(padic_unit(rop));
padic_val(rop) = 0;
}
else
{
padic_zero(rop);
}
}
/* Comparison ****************************************************************/
static __inline__ int padic_is_zero(const padic_t op)
{
return fmpz_is_zero(padic_unit(op));
}
static __inline__ int padic_is_one(const padic_t op)
{
return fmpz_is_one(padic_unit(op)) && (padic_val(op) == 0);
}
static __inline__ int padic_equal(const padic_t op1, const padic_t op2)
{
return (padic_val(op1) == padic_val(op2)) &&
(fmpz_equal(padic_unit(op1), padic_unit(op2)));
}
/* Arithmetic operations *****************************************************/
slong * _padic_lifts_exps(slong *n, slong N);
void _padic_lifts_pows(fmpz *pow, const slong *a, slong n, const fmpz_t p);
void padic_add(padic_t rop, const padic_t op1, const padic_t op2,
const padic_ctx_t ctx);
void padic_sub(padic_t rop, const padic_t op1, const padic_t op2,
const padic_ctx_t ctx);
void padic_neg(padic_t rop, const padic_t op, const padic_ctx_t ctx);
void padic_mul(padic_t rop, const padic_t op1, const padic_t op2,
const padic_ctx_t ctx);
void padic_shift(padic_t rop, const padic_t op, slong v, const padic_ctx_t ctx);
void padic_div(padic_t rop, const padic_t op1, const padic_t op2,
const padic_ctx_t ctx);
void _padic_inv_precompute(padic_inv_t S, const fmpz_t p, slong N);
void _padic_inv_clear(padic_inv_t S);
void _padic_inv_precomp(fmpz_t rop, const fmpz_t op, const padic_inv_t S);
void _padic_inv(fmpz_t rop, const fmpz_t op, const fmpz_t p, slong N);
void padic_inv(padic_t rop, const padic_t op, const padic_ctx_t ctx);
int padic_sqrt(padic_t rop, const padic_t op, const padic_ctx_t ctx);
void padic_pow_si(padic_t rop, const padic_t op, slong e,
const padic_ctx_t ctx);
/* Exponential ***************************************************************/
slong _padic_exp_bound(slong v, slong N, const fmpz_t p);
void _padic_exp(fmpz_t rop, const fmpz_t u, slong v, const fmpz_t p, slong N);
void _padic_exp_rectangular(fmpz_t rop, const fmpz_t u, slong v, const fmpz_t p, slong N);
void _padic_exp_balanced(fmpz_t rop, const fmpz_t u, slong v, const fmpz_t p, slong N);
int padic_exp(padic_t rop, const padic_t op, const padic_ctx_t ctx);
int padic_exp_rectangular(padic_t rop, const padic_t op, const padic_ctx_t ctx);
int padic_exp_balanced(padic_t rop, const padic_t op, const padic_ctx_t ctx);
/* Logarithm *****************************************************************/
slong _padic_log_bound(slong v, slong N, const fmpz_t p);
void _padic_log(fmpz_t z, const fmpz_t y, slong v, const fmpz_t p, slong N);
void _padic_log_rectangular(fmpz_t z, const fmpz_t y, slong v, const fmpz_t p, slong N);
void _padic_log_satoh(fmpz_t z, const fmpz_t y, slong v, const fmpz_t p, slong N);
void _padic_log_balanced(fmpz_t z, const fmpz_t y, slong v, const fmpz_t p, slong N);
int padic_log(padic_t rop, const padic_t op, const padic_ctx_t ctx);
int padic_log_rectangular(padic_t rop, const padic_t op, const padic_ctx_t ctx);
int padic_log_satoh(padic_t rop, const padic_t op, const padic_ctx_t ctx);
int padic_log_balanced(padic_t rop, const padic_t op, const padic_ctx_t ctx);
/* Special functions *********************************************************/
void _padic_teichmuller(fmpz_t rop, const fmpz_t op, const fmpz_t p, slong N);
void padic_teichmuller(padic_t rop, const padic_t op, const padic_ctx_t ctx);
ulong padic_val_fac_ui_2(ulong N);
ulong padic_val_fac_ui(ulong N, const fmpz_t p);
void padic_val_fac(fmpz_t rop, const fmpz_t op, const fmpz_t p);
/* Input and output **********************************************************/
char * padic_get_str(char * str, const padic_t op, const padic_ctx_t ctx);
int _padic_fprint(FILE * file, const fmpz_t u, slong v, const padic_ctx_t ctx);
int padic_fprint(FILE * file, const padic_t op, const padic_ctx_t ctx);
static __inline__
int _padic_print(const fmpz_t u, slong v, const padic_ctx_t ctx)
{
return _padic_fprint(stdout, u, v, ctx);
}
static __inline__ int padic_print(const padic_t op, const padic_ctx_t ctx)
{
return padic_fprint(stdout, op, ctx);
}
static __inline__ void padic_debug(const padic_t op)
{
flint_printf("(");
fmpz_print(padic_unit(op));
flint_printf(" %wd %wd)", padic_val(op), padic_prec(op));
}
#ifdef __cplusplus
}
#endif
#endif