322 lines
8.7 KiB
C
322 lines
8.7 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) 2013 Mike Hansen
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******************************************************************************/
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#ifndef FQ_ZECH_H
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#define FQ_ZECH_H
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#include "fq_nmod.h"
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/* Data types and context ****************************************************/
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#ifdef __cplusplus
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extern "C" {
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#endif
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typedef struct
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{
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mp_limb_t value;
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} fq_zech_struct;
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typedef fq_zech_struct fq_zech_t[1];
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typedef struct
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{
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mp_limb_t qm1; /* q - 1 */
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mp_limb_t qm1o2; /* (q - 1) / 2 or 1 when p == 2 */
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mp_limb_t qm1opm1; /* (q - 1) / (p - 1) */
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mp_limb_t p;
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double ppre;
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mp_limb_t prime_root; /* primitive root for prime subfield */
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mp_limb_t *zech_log_table;
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mp_limb_t *prime_field_table;
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mp_limb_t *eval_table;
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fq_nmod_ctx_struct *fq_nmod_ctx;
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int owns_fq_nmod_ctx;
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} fq_zech_ctx_struct;
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typedef fq_zech_ctx_struct fq_zech_ctx_t[1];
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void fq_zech_ctx_init(fq_zech_ctx_t ctx, const fmpz_t p, slong d, const char *var);
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void fq_zech_ctx_init_fq_nmod_ctx(fq_zech_ctx_t ctx, fq_nmod_ctx_t ctxn);
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int _fq_zech_ctx_init_conway(fq_zech_ctx_t ctx, const fmpz_t p, slong d, const char *var);
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void fq_zech_ctx_init_conway(fq_zech_ctx_t ctx, const fmpz_t p, slong d, const char *var);
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void fq_zech_ctx_init_modulus(fq_zech_ctx_t ctx,
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const nmod_poly_t modulus,
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const char *var);
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void fq_zech_ctx_randtest(fq_zech_ctx_t ctx, flint_rand_t state);
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void fq_zech_ctx_clear(fq_zech_ctx_t ctx);
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static __inline__ slong
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fq_zech_ctx_degree(const fq_zech_ctx_t ctx)
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{
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return fq_nmod_ctx_degree(ctx->fq_nmod_ctx);
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}
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static __inline__ void
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fq_zech_ctx_order(fmpz_t f, const fq_zech_ctx_t ctx)
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{
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fq_nmod_ctx_order(f, ctx->fq_nmod_ctx);
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}
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static __inline__ mp_limb_t
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fq_zech_ctx_order_ui(const fq_zech_ctx_t ctx)
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{
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return ctx->qm1 + 1;
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}
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#define fq_zech_ctx_prime(ctx) fq_nmod_ctx_prime(ctx->fq_nmod_ctx)
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static __inline__ int
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fq_zech_ctx_fprint(FILE * file, const fq_zech_ctx_t ctx)
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{
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int r;
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r = flint_fprintf(file, "Zech Representation:\n");
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if (r <= 0)
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return r;
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return fq_nmod_ctx_fprint(file, ctx->fq_nmod_ctx);
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}
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static __inline__ void
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fq_zech_ctx_print(const fq_zech_ctx_t ctx)
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{
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fq_zech_ctx_fprint(stdout, ctx);
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}
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/* Memory managment *********************************************************/
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static __inline__ void
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fq_zech_init(fq_zech_t rop, const fq_zech_ctx_t ctx)
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{
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rop->value = ctx->qm1;
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}
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static __inline__ void
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fq_zech_init2(fq_zech_t rop, const fq_zech_ctx_t ctx)
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{
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rop->value = ctx->qm1;
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}
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static __inline__ void
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fq_zech_clear(fq_zech_t rop, const fq_zech_ctx_t ctx)
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{
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}
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static __inline__ void
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fq_zech_reduce(fq_zech_t rop, const fq_zech_ctx_t ctx)
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{
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mp_limb_t order = fq_zech_ctx_order_ui(ctx);
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if (rop->value >= order)
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{
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rop->value -= order;
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}
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}
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/* Basic arithmetic **********************************************************/
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void fq_zech_add(fq_zech_t rop, const fq_zech_t op1, const fq_zech_t op2,
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const fq_zech_ctx_t ctx);
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void fq_zech_sub(fq_zech_t rop, const fq_zech_t op1, const fq_zech_t op2,
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const fq_zech_ctx_t ctx);
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void fq_zech_sub_one(fq_zech_t rop, const fq_zech_t op1,
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const fq_zech_ctx_t ctx);
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void fq_zech_neg(fq_zech_t rop, const fq_zech_t op1, const fq_zech_ctx_t ctx);
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void fq_zech_mul(fq_zech_t rop, const fq_zech_t op1, const fq_zech_t op2,
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const fq_zech_ctx_t ctx);
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void fq_zech_mul_fmpz(fq_zech_t rop, const fq_zech_t op, const fmpz_t x,
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const fq_zech_ctx_t ctx);
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void fq_zech_mul_si(fq_zech_t rop, const fq_zech_t op, slong x,
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const fq_zech_ctx_t ctx);
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void fq_zech_mul_ui(fq_zech_t rop, const fq_zech_t op, ulong x,
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const fq_zech_ctx_t ctx);
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void fq_zech_sqr(fq_zech_t rop, const fq_zech_t op, const fq_zech_ctx_t ctx);
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void fq_zech_inv(fq_zech_t rop, const fq_zech_t op1, const fq_zech_ctx_t ctx);
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void _fq_zech_pow(fmpz * rop, const fmpz * op, slong len, const fmpz_t e,
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const fmpz * a, const slong *j, slong lena, const fmpz_t p);
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void fq_zech_pow(fq_zech_t rop, const fq_zech_t op1, const fmpz_t e,
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const fq_zech_ctx_t ctx);
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void fq_zech_pow_ui(fq_zech_t rop, const fq_zech_t op1, const ulong e,
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const fq_zech_ctx_t ctx);
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void
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fq_zech_pth_root(fq_zech_t rop, const fq_zech_t op1, const fq_zech_ctx_t ctx);
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/* Randomisation *************************************************************/
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void fq_zech_randtest(fq_zech_t rop, flint_rand_t state,
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const fq_zech_ctx_t ctx);
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void fq_zech_randtest_not_zero(fq_zech_t rop, flint_rand_t state,
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const fq_zech_ctx_t ctx);
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/* Comparison ****************************************************************/
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static __inline__ int
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fq_zech_equal(const fq_zech_t op1, const fq_zech_t op2, const fq_zech_ctx_t ctx)
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{
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return op1->value == op2->value;
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}
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static __inline__ int
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fq_zech_is_zero(const fq_zech_t op, const fq_zech_ctx_t ctx)
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{
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return op->value == ctx->qm1;
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}
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static __inline__ int
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fq_zech_is_one(const fq_zech_t op, const fq_zech_ctx_t ctx)
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{
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return op->value == 0;
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}
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/* Assignments and conversions ***********************************************/
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static __inline__ void
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fq_zech_set(fq_zech_t rop, const fq_zech_t op, const fq_zech_ctx_t ctx)
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{
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rop->value = op->value;
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}
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void
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fq_zech_set_fmpz(fq_zech_t rop, const fmpz_t x, const fq_zech_ctx_t ctx);
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static __inline__ void
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fq_zech_set_ui(fq_zech_t rop, const ulong x, const fq_zech_ctx_t ctx)
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{
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fmpz_t xx;
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fmpz_init_set_ui(xx, x);
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fq_zech_set_fmpz(rop, xx, ctx);
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fmpz_clear(xx);
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}
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static __inline__ void
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fq_zech_swap(fq_zech_t op1, fq_zech_t op2, const fq_zech_ctx_t ctx)
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{
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slong temp;
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temp = op2->value;
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op2->value = op1->value;
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op1->value = temp;
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}
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static __inline__ void
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fq_zech_zero(fq_zech_t rop, const fq_zech_ctx_t ctx)
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{
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rop->value = ctx->qm1;
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}
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static __inline__ void
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fq_zech_one(fq_zech_t rop, const fq_zech_ctx_t ctx)
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{
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rop->value = 0;
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}
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static __inline__ void
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fq_zech_gen(fq_zech_t rop, const fq_zech_ctx_t ctx)
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{
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rop->value = 1;
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}
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void
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fq_zech_set_fq_nmod(fq_zech_t rop, const fq_nmod_t op, const fq_zech_ctx_t ctx);
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void
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fq_zech_get_fq_nmod(fq_nmod_t rop, const fq_zech_t op, const fq_zech_ctx_t ctx);
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/* Output ********************************************************************/
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static __inline__ int
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fq_zech_fprint_pretty(FILE * file, const fq_zech_t op, const fq_zech_ctx_t ctx)
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{
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return flint_fprintf(file, "%s^%wd", ctx->fq_nmod_ctx->var, op->value);
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}
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static __inline__ void
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fq_zech_print_pretty(const fq_zech_t op, const fq_zech_ctx_t ctx)
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{
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fq_zech_fprint_pretty(stdout, op, ctx);
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}
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static __inline__ int
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fq_zech_fprint(FILE * file, const fq_zech_t op, const fq_zech_ctx_t ctx)
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{
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return flint_fprintf(file, "%wd", op->value);
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}
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static __inline__ void
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fq_zech_print(const fq_zech_t op, const fq_zech_ctx_t ctx)
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{
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fq_zech_fprint(stdout, op, ctx);
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}
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char *
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fq_zech_get_str(const fq_zech_t op, const fq_zech_ctx_t ctx);
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char *
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fq_zech_get_str_pretty(const fq_zech_t op, const fq_zech_ctx_t ctx);
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/* Special functions *********************************************************/
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void fq_zech_trace(fmpz_t rop, const fq_zech_t op, const fq_zech_ctx_t ctx);
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void fq_zech_frobenius(fq_zech_t rop, const fq_zech_t op, slong e,
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const fq_zech_ctx_t ctx);
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void fq_zech_norm(fmpz_t rop, const fq_zech_t op, const fq_zech_ctx_t ctx);
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/* Bit packing ******************************************************/
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void
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fq_zech_bit_pack(fmpz_t f, const fq_zech_t op, mp_bitcnt_t bit_size,
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const fq_zech_ctx_t ctx);
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void
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fq_zech_bit_unpack(fq_zech_t rop, const fmpz_t f, mp_bitcnt_t bit_size,
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const fq_zech_ctx_t ctx);
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#ifdef __cplusplus
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}
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#endif
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#endif
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