File: fq_zech.h

package info (click to toggle)
flint 2.5.2-19
  • links: PTS, VCS
  • area: main
  • in suites: buster
  • size: 30,308 kB
  • sloc: ansic: 289,367; cpp: 11,210; python: 1,280; sh: 649; makefile: 283
file content (342 lines) | stat: -rw-r--r-- 9,764 bytes parent folder | download | duplicates (5)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
/*=============================================================================

    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) 2013 Mike Hansen
 
******************************************************************************/

#ifndef FQ_ZECH_H
#define FQ_ZECH_H

#ifdef FQ_ZECH_INLINES_C
#define FQ_ZECH_INLINE FLINT_DLL
/* #define FQ_TEMPLATES_INLINE FLINT_DLL */
#else
#define FQ_ZECH_INLINE static __inline__
/* #define FQ_TEMPLATES_INLINE static __inline__ */
#endif

#include "fq_nmod.h"

/* Data types and context ****************************************************/
#ifdef __cplusplus
extern "C" {
#endif

typedef struct
{
    mp_limb_t value;
} fq_zech_struct;

typedef fq_zech_struct fq_zech_t[1];

typedef struct
{
    mp_limb_t qm1;              /* q - 1 */
    mp_limb_t qm1o2;            /* (q - 1) / 2 or 1 when p == 2 */
    mp_limb_t qm1opm1;          /* (q - 1) / (p - 1) */
    mp_limb_t p;
    double ppre;
    mp_limb_t prime_root;       /* primitive root for prime subfield */
    mp_limb_t *zech_log_table;
    mp_limb_t *prime_field_table;
    mp_limb_t *eval_table;

    fq_nmod_ctx_struct *fq_nmod_ctx;
    int owns_fq_nmod_ctx;

} fq_zech_ctx_struct;

typedef fq_zech_ctx_struct fq_zech_ctx_t[1];

FLINT_DLL void fq_zech_ctx_init(fq_zech_ctx_t ctx, const fmpz_t p, slong d, const char *var);

FLINT_DLL void fq_zech_ctx_init_fq_nmod_ctx(fq_zech_ctx_t ctx, fq_nmod_ctx_t ctxn);

FLINT_DLL int _fq_zech_ctx_init_conway(fq_zech_ctx_t ctx, const fmpz_t p, slong d, const char *var);

FLINT_DLL void fq_zech_ctx_init_conway(fq_zech_ctx_t ctx, const fmpz_t p, slong d, const char *var);

FLINT_DLL void fq_zech_ctx_init_modulus(fq_zech_ctx_t ctx,
                              const nmod_poly_t modulus,
                              const char *var);

FLINT_DLL void fq_zech_ctx_randtest(fq_zech_ctx_t ctx, flint_rand_t state);

FLINT_DLL void fq_zech_ctx_randtest_reducible(fq_zech_ctx_t ctx, flint_rand_t state);

FLINT_DLL void fq_zech_ctx_clear(fq_zech_ctx_t ctx);

FQ_ZECH_INLINE slong
fq_zech_ctx_degree(const fq_zech_ctx_t ctx)
{
    return fq_nmod_ctx_degree(ctx->fq_nmod_ctx);
}

FQ_ZECH_INLINE void
fq_zech_ctx_order(fmpz_t f, const fq_zech_ctx_t ctx)
{
    fq_nmod_ctx_order(f, ctx->fq_nmod_ctx);
}

FQ_ZECH_INLINE mp_limb_t
fq_zech_ctx_order_ui(const fq_zech_ctx_t ctx)
{
    return ctx->qm1 + 1;
}

#define fq_zech_ctx_prime(ctx)  fq_nmod_ctx_prime(ctx->fq_nmod_ctx)

FQ_ZECH_INLINE int
fq_zech_ctx_fprint(FILE * file, const fq_zech_ctx_t ctx)
{
    int r;
    r = flint_fprintf(file, "Zech Representation:\n");
    if (r <= 0)
        return r;
    return fq_nmod_ctx_fprint(file, ctx->fq_nmod_ctx);
}

FQ_ZECH_INLINE void
fq_zech_ctx_print(const fq_zech_ctx_t ctx)
{
    fq_zech_ctx_fprint(stdout, ctx);
}

/* Memory managment  *********************************************************/

FQ_ZECH_INLINE void
fq_zech_init(fq_zech_t rop, const fq_zech_ctx_t ctx)
{
    rop->value = ctx->qm1;
}

FQ_ZECH_INLINE void
fq_zech_init2(fq_zech_t rop, const fq_zech_ctx_t ctx)
{
    rop->value = ctx->qm1;
}

FQ_ZECH_INLINE void
fq_zech_clear(fq_zech_t rop, const fq_zech_ctx_t ctx)
{
}

FQ_ZECH_INLINE void
fq_zech_reduce(fq_zech_t rop, const fq_zech_ctx_t ctx)
{
    mp_limb_t order = fq_zech_ctx_order_ui(ctx);
    if (rop->value >= order)
    {
        rop->value -= order;
    }
}

/* Basic arithmetic **********************************************************/

FLINT_DLL void fq_zech_add(fq_zech_t rop, const fq_zech_t op1, const fq_zech_t op2,
                 const fq_zech_ctx_t ctx);

FLINT_DLL void fq_zech_sub(fq_zech_t rop, const fq_zech_t op1, const fq_zech_t op2,
                 const fq_zech_ctx_t ctx);

FLINT_DLL void fq_zech_sub_one(fq_zech_t rop, const fq_zech_t op1,
                     const fq_zech_ctx_t ctx);

FLINT_DLL void fq_zech_neg(fq_zech_t rop, const fq_zech_t op1, const fq_zech_ctx_t ctx);

FLINT_DLL void fq_zech_mul(fq_zech_t rop, const fq_zech_t op1, const fq_zech_t op2,
                 const fq_zech_ctx_t ctx);

FLINT_DLL void fq_zech_mul_fmpz(fq_zech_t rop, const fq_zech_t op, const fmpz_t x,
                      const fq_zech_ctx_t ctx);

FLINT_DLL void fq_zech_mul_si(fq_zech_t rop, const fq_zech_t op, slong x,
                    const fq_zech_ctx_t ctx);

FLINT_DLL void fq_zech_mul_ui(fq_zech_t rop, const fq_zech_t op, ulong x,
                    const fq_zech_ctx_t ctx);

FLINT_DLL void fq_zech_sqr(fq_zech_t rop, const fq_zech_t op, const fq_zech_ctx_t ctx);

FLINT_DLL void fq_zech_inv(fq_zech_t rop, const fq_zech_t op1, const fq_zech_ctx_t ctx);

FLINT_DLL void _fq_zech_pow(fmpz * rop, const fmpz * op, slong len, const fmpz_t e,
                  const fmpz * a, const slong *j, slong lena, const fmpz_t p);

FLINT_DLL void fq_zech_pow(fq_zech_t rop, const fq_zech_t op1, const fmpz_t e,
                 const fq_zech_ctx_t ctx);

FLINT_DLL void fq_zech_pow_ui(fq_zech_t rop, const fq_zech_t op1, const ulong e,
                    const fq_zech_ctx_t ctx);

FLINT_DLL void fq_zech_pth_root(fq_zech_t rop, const fq_zech_t op1, const fq_zech_ctx_t ctx);

/* Randomisation *************************************************************/

FLINT_DLL void fq_zech_randtest(fq_zech_t rop, flint_rand_t state,
                      const fq_zech_ctx_t ctx);

FLINT_DLL void fq_zech_randtest_not_zero(fq_zech_t rop, flint_rand_t state,
                               const fq_zech_ctx_t ctx);

/* Comparison ****************************************************************/

FQ_ZECH_INLINE int
fq_zech_equal(const fq_zech_t op1, const fq_zech_t op2, const fq_zech_ctx_t ctx)
{
    return op1->value == op2->value;
}

FQ_ZECH_INLINE int
fq_zech_is_zero(const fq_zech_t op, const fq_zech_ctx_t ctx)
{
    return op->value == ctx->qm1;
}

FQ_ZECH_INLINE int
fq_zech_is_one(const fq_zech_t op, const fq_zech_ctx_t ctx)
{
    return op->value == 0;
}

/* Assignments and conversions ***********************************************/

FQ_ZECH_INLINE void
fq_zech_set(fq_zech_t rop, const fq_zech_t op, const fq_zech_ctx_t ctx)
{
    rop->value = op->value;
}

FLINT_DLL void fq_zech_set_fmpz(fq_zech_t rop, const fmpz_t x, const fq_zech_ctx_t ctx);

FQ_ZECH_INLINE void
fq_zech_set_si(fq_zech_t rop, const slong x, const fq_zech_ctx_t ctx)
{
    fmpz_t xx;
    fmpz_init_set_si(xx, x);
    fq_zech_set_fmpz(rop, xx, ctx);
    fmpz_clear(xx);
}

FQ_ZECH_INLINE void
fq_zech_set_ui(fq_zech_t rop, const ulong x, const fq_zech_ctx_t ctx)
{
    fmpz_t xx;
    fmpz_init_set_ui(xx, x);
    fq_zech_set_fmpz(rop, xx, ctx);
    fmpz_clear(xx);
}

FQ_ZECH_INLINE void
fq_zech_swap(fq_zech_t op1, fq_zech_t op2, const fq_zech_ctx_t ctx)
{
    slong temp;
    temp = op2->value;
    op2->value = op1->value;
    op1->value = temp;
}

FQ_ZECH_INLINE void
fq_zech_zero(fq_zech_t rop, const fq_zech_ctx_t ctx)
{
    rop->value = ctx->qm1;
}

FQ_ZECH_INLINE void
fq_zech_one(fq_zech_t rop, const fq_zech_ctx_t ctx)
{
    rop->value = 0;
}

FQ_ZECH_INLINE void
fq_zech_gen(fq_zech_t rop, const fq_zech_ctx_t ctx)
{
    rop->value = 1;
}

FLINT_DLL void fq_zech_set_fq_nmod(fq_zech_t rop, const fq_nmod_t op, const fq_zech_ctx_t ctx);

FLINT_DLL void fq_zech_get_fq_nmod(fq_nmod_t rop, const fq_zech_t op, const fq_zech_ctx_t ctx);


/* Output ********************************************************************/
FQ_ZECH_INLINE int
fq_zech_fprint_pretty(FILE * file, const fq_zech_t op, const fq_zech_ctx_t ctx)
{
    return flint_fprintf(file, "%s^%wd", ctx->fq_nmod_ctx->var, op->value);
}

FQ_ZECH_INLINE void
fq_zech_print_pretty(const fq_zech_t op, const fq_zech_ctx_t ctx)
{
    fq_zech_fprint_pretty(stdout, op, ctx);
}

FQ_ZECH_INLINE int
fq_zech_fprint(FILE * file, const fq_zech_t op, const fq_zech_ctx_t ctx)
{
    return flint_fprintf(file, "%wd", op->value);
}

FQ_ZECH_INLINE void
fq_zech_print(const fq_zech_t op, const fq_zech_ctx_t ctx)
{
    fq_zech_fprint(stdout, op, ctx);
}

FLINT_DLL char * fq_zech_get_str(const fq_zech_t op, const fq_zech_ctx_t ctx);

FLINT_DLL char * fq_zech_get_str_pretty(const fq_zech_t op, const fq_zech_ctx_t ctx);


/* Special functions *********************************************************/

FLINT_DLL void fq_zech_trace(fmpz_t rop, const fq_zech_t op, const fq_zech_ctx_t ctx);

FLINT_DLL void fq_zech_frobenius(fq_zech_t rop, const fq_zech_t op, slong e,
                       const fq_zech_ctx_t ctx);

FLINT_DLL void fq_zech_norm(fmpz_t rop, const fq_zech_t op, const fq_zech_ctx_t ctx);

/* Bit packing ******************************************************/

FLINT_DLL void fq_zech_bit_pack(fmpz_t f, const fq_zech_t op, mp_bitcnt_t bit_size,
                 const fq_zech_ctx_t ctx);

FLINT_DLL void fq_zech_bit_unpack(fq_zech_t rop, const fmpz_t f, mp_bitcnt_t bit_size,
                   const fq_zech_ctx_t ctx);

#ifdef T
#undef T
#endif

#define T fq_zech
#define CAP_T FQ_ZECH
#include "fq_templates.h"
#undef CAP_T
#undef T
    
#ifdef __cplusplus
}
#endif

#endif