344 lines
9.5 KiB
C
344 lines
9.5 KiB
C
/*=============================================================================
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This file is part of FLINT.
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FLINT is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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FLINT is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with FLINT; if not, write to the Free Software
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Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
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=============================================================================*/
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/******************************************************************************
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Copyright (C) 2011, 2012 Sebastian Pancratz
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******************************************************************************/
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#ifndef PADIC_H
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#define PADIC_H
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#undef ulong
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#define ulong ulongxx /* interferes with system includes */
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#include <stdlib.h>
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#include <stdio.h>
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#undef ulong
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#include <gmp.h>
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#define ulong mp_limb_t
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#include "flint.h"
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#include "fmpz.h"
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#include "fmpq.h"
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#include "fmpz_vec.h"
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#include "ulong_extras.h"
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#ifdef __cplusplus
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extern "C" {
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#endif
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#define PADIC_DEFAULT_PREC WORD(20)
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#define PADIC_TEST_PREC_MIN WORD(-100)
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#define PADIC_TEST_PREC_MAX WORD(100)
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typedef struct {
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fmpz u;
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slong v;
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slong N;
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} padic_struct;
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typedef padic_struct padic_t[1];
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#define padic_unit(x) (&((x)->u))
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#define padic_val(x) ((x)->v)
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#define padic_prec(x) ((x)->N)
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enum padic_print_mode
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{
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PADIC_TERSE,
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PADIC_SERIES,
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PADIC_VAL_UNIT
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};
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typedef struct {
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fmpz_t p;
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double pinv;
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fmpz *pow;
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slong min;
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slong max;
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enum padic_print_mode mode;
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} padic_ctx_struct;
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typedef padic_ctx_struct padic_ctx_t[1];
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typedef struct {
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slong n;
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fmpz *pow;
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} padic_inv_struct;
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typedef padic_inv_struct padic_inv_t[1];
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/* Context *******************************************************************/
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void padic_ctx_init(padic_ctx_t ctx, const fmpz_t p, slong min, slong max,
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enum padic_print_mode mode);
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void padic_ctx_clear(padic_ctx_t ctx);
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static __inline__
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int _padic_ctx_pow_ui(fmpz_t rop, ulong e, const padic_ctx_t ctx)
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{
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if (ctx->min <= (slong) e && (slong) e < ctx->max)
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{
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*rop = *(ctx->pow + (e - ctx->min));
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return 0;
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}
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else
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{
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slong l = (slong) e;
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if (l < 0)
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{
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flint_printf("WTF??\n");
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flint_printf("e = %wu\n", e);
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flint_printf("l = %wd\n", l);
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abort();
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}
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fmpz_init(rop);
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fmpz_pow_ui(rop, ctx->p, e);
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return 1;
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}
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}
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/* Memory management *********************************************************/
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void padic_init(padic_t rop);
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void padic_init2(padic_t rop, slong N);
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void padic_clear(padic_t rop);
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static __inline__ void _padic_canonicalise(padic_t rop, const padic_ctx_t ctx)
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{
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if (!fmpz_is_zero(padic_unit(rop)))
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{
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padic_val(rop) += _fmpz_remove(padic_unit(rop), ctx->p, ctx->pinv);
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}
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else
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{
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padic_val(rop) = 0;
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}
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}
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void _padic_reduce(padic_t rop, const padic_ctx_t ctx);
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void padic_reduce(padic_t rop, const padic_ctx_t ctx);
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/* Randomisation *************************************************************/
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void padic_randtest(padic_t rop, flint_rand_t state, const padic_ctx_t ctx);
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void padic_randtest_not_zero(padic_t rop, flint_rand_t state,
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const padic_ctx_t ctx);
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void padic_randtest_int(padic_t rop, flint_rand_t state,
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const padic_ctx_t ctx);
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/* Assignments and conversions ***********************************************/
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void padic_set(padic_t rop, const padic_t op, const padic_ctx_t ctx);
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void padic_set_si(padic_t rop, slong op, const padic_ctx_t ctx);
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void padic_set_ui(padic_t rop, ulong op, const padic_ctx_t ctx);
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void padic_set_fmpz(padic_t rop, const fmpz_t op, const padic_ctx_t ctx);
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void padic_set_fmpq(padic_t rop, const fmpq_t op, const padic_ctx_t ctx);
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void padic_set_mpz(padic_t rop, const mpz_t op, const padic_ctx_t ctx);
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void padic_set_mpq(padic_t rop, const mpq_t op, const padic_ctx_t ctx);
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void padic_get_fmpz(fmpz_t rop, const padic_t op, const padic_ctx_t ctx);
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void padic_get_fmpq(fmpq_t rop, const padic_t op, const padic_ctx_t ctx);
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void padic_get_mpz(mpz_t rop, const padic_t op, const padic_ctx_t ctx);
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void padic_get_mpq(mpq_t rop, const padic_t op, const padic_ctx_t ctx);
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static __inline__ void padic_swap(padic_t op1, padic_t op2)
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{
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slong t;
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fmpz_swap(padic_unit(op1), padic_unit(op2));
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t = padic_val(op1);
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padic_val(op1) = padic_val(op2);
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padic_val(op2) = t;
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t = padic_prec(op1);
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padic_prec(op1) = padic_prec(op2);
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padic_prec(op2) = t;
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}
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static __inline__ void padic_zero(padic_t rop)
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{
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fmpz_zero(padic_unit(rop));
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padic_val(rop) = 0;
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}
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static __inline__ void padic_one(padic_t rop)
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{
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if (padic_prec(rop) > 0)
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{
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fmpz_one(padic_unit(rop));
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padic_val(rop) = 0;
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}
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else
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{
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padic_zero(rop);
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}
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}
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/* Comparison ****************************************************************/
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static __inline__ int padic_is_zero(const padic_t op)
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{
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return fmpz_is_zero(padic_unit(op));
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}
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static __inline__ int padic_is_one(const padic_t op)
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{
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return fmpz_is_one(padic_unit(op)) && (padic_val(op) == 0);
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}
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static __inline__ int padic_equal(const padic_t op1, const padic_t op2)
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{
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return (padic_val(op1) == padic_val(op2)) &&
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(fmpz_equal(padic_unit(op1), padic_unit(op2)));
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}
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/* Arithmetic operations *****************************************************/
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slong * _padic_lifts_exps(slong *n, slong N);
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void _padic_lifts_pows(fmpz *pow, const slong *a, slong n, const fmpz_t p);
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void padic_add(padic_t rop, const padic_t op1, const padic_t op2,
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const padic_ctx_t ctx);
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void padic_sub(padic_t rop, const padic_t op1, const padic_t op2,
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const padic_ctx_t ctx);
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void padic_neg(padic_t rop, const padic_t op, const padic_ctx_t ctx);
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void padic_mul(padic_t rop, const padic_t op1, const padic_t op2,
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const padic_ctx_t ctx);
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void padic_shift(padic_t rop, const padic_t op, slong v, const padic_ctx_t ctx);
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void padic_div(padic_t rop, const padic_t op1, const padic_t op2,
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const padic_ctx_t ctx);
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void _padic_inv_precompute(padic_inv_t S, const fmpz_t p, slong N);
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void _padic_inv_clear(padic_inv_t S);
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void _padic_inv_precomp(fmpz_t rop, const fmpz_t op, const padic_inv_t S);
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void _padic_inv(fmpz_t rop, const fmpz_t op, const fmpz_t p, slong N);
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void padic_inv(padic_t rop, const padic_t op, const padic_ctx_t ctx);
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int padic_sqrt(padic_t rop, const padic_t op, const padic_ctx_t ctx);
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void padic_pow_si(padic_t rop, const padic_t op, slong e,
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const padic_ctx_t ctx);
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/* Exponential ***************************************************************/
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slong _padic_exp_bound(slong v, slong N, const fmpz_t p);
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void _padic_exp(fmpz_t rop, const fmpz_t u, slong v, const fmpz_t p, slong N);
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void _padic_exp_rectangular(fmpz_t rop, const fmpz_t u, slong v, const fmpz_t p, slong N);
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void _padic_exp_balanced(fmpz_t rop, const fmpz_t u, slong v, const fmpz_t p, slong N);
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int padic_exp(padic_t rop, const padic_t op, const padic_ctx_t ctx);
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int padic_exp_rectangular(padic_t rop, const padic_t op, const padic_ctx_t ctx);
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int padic_exp_balanced(padic_t rop, const padic_t op, const padic_ctx_t ctx);
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/* Logarithm *****************************************************************/
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slong _padic_log_bound(slong v, slong N, const fmpz_t p);
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void _padic_log(fmpz_t z, const fmpz_t y, slong v, const fmpz_t p, slong N);
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void _padic_log_rectangular(fmpz_t z, const fmpz_t y, slong v, const fmpz_t p, slong N);
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void _padic_log_satoh(fmpz_t z, const fmpz_t y, slong v, const fmpz_t p, slong N);
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void _padic_log_balanced(fmpz_t z, const fmpz_t y, slong v, const fmpz_t p, slong N);
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int padic_log(padic_t rop, const padic_t op, const padic_ctx_t ctx);
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int padic_log_rectangular(padic_t rop, const padic_t op, const padic_ctx_t ctx);
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int padic_log_satoh(padic_t rop, const padic_t op, const padic_ctx_t ctx);
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int padic_log_balanced(padic_t rop, const padic_t op, const padic_ctx_t ctx);
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/* Special functions *********************************************************/
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void _padic_teichmuller(fmpz_t rop, const fmpz_t op, const fmpz_t p, slong N);
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void padic_teichmuller(padic_t rop, const padic_t op, const padic_ctx_t ctx);
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ulong padic_val_fac_ui_2(ulong N);
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ulong padic_val_fac_ui(ulong N, const fmpz_t p);
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void padic_val_fac(fmpz_t rop, const fmpz_t op, const fmpz_t p);
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/* Input and output **********************************************************/
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char * padic_get_str(char * str, const padic_t op, const padic_ctx_t ctx);
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int _padic_fprint(FILE * file, const fmpz_t u, slong v, const padic_ctx_t ctx);
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int padic_fprint(FILE * file, const padic_t op, const padic_ctx_t ctx);
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static __inline__
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int _padic_print(const fmpz_t u, slong v, const padic_ctx_t ctx)
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{
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return _padic_fprint(stdout, u, v, ctx);
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}
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static __inline__ int padic_print(const padic_t op, const padic_ctx_t ctx)
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{
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return padic_fprint(stdout, op, ctx);
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}
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static __inline__ void padic_debug(const padic_t op)
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{
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flint_printf("(");
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fmpz_print(padic_unit(op));
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flint_printf(" %wd %wd)", padic_val(op), padic_prec(op));
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}
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#ifdef __cplusplus
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}
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#endif
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#endif
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