flint-sys 0.9.0

Bindings to the FLINT C library
Documentation
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
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
/*
    Copyright (C) 2020 Daniel Schultz

    This file is part of FLINT.

    FLINT is free software: you can redistribute it and/or modify it under
    the terms of the GNU Lesser General Public License (LGPL) as published
    by the Free Software Foundation; either version 3 of the License, or
    (at your option) any later version.  See <https://www.gnu.org/licenses/>.
*/

#ifndef FMPZ_MPOLY_FACTOR_H
#define FMPZ_MPOLY_FACTOR_H

#ifdef FMPZ_MPOLY_FACTOR_INLINES_C
#define FMPZ_MPOLY_FACTOR_INLINE
#else
#define FMPZ_MPOLY_FACTOR_INLINE static inline
#endif

#include "fmpz_poly_factor.h"
#include "fmpz_mpoly.h"

#ifdef __cplusplus
 extern "C" {
#endif

/*****************************************************************************/

void tuple_print(fmpz * alpha, slong n);

void tuple_saturate(fmpz * alpha, slong n, slong m);

void tuple_next(fmpz * alpha, slong n);

/*****************************************************************************/

FMPZ_MPOLY_FACTOR_INLINE
void fmpz_mpoly_factor_init(fmpz_mpoly_factor_t f, const fmpz_mpoly_ctx_t FLINT_UNUSED(ctx))
{
    *f->constant = 1;
    *f->constant_den = 1;
    f->poly  = NULL;
    f->exp   = NULL;
    f->num   = 0;
    f->alloc = 0;
}

void fmpz_mpoly_factor_init2(fmpz_mpoly_factor_t f,
                                      slong alloc, const fmpz_mpoly_ctx_t ctx);

void fmpz_mpoly_factor_realloc(fmpz_mpoly_factor_t f,
                                      slong alloc, const fmpz_mpoly_ctx_t ctx);

void fmpz_mpoly_factor_fit_length(fmpz_mpoly_factor_t f,
                                        slong len, const fmpz_mpoly_ctx_t ctx);

void fmpz_mpoly_factor_clear(fmpz_mpoly_factor_t f,
                                                   const fmpz_mpoly_ctx_t ctx);

FMPZ_MPOLY_FACTOR_INLINE
slong fmpz_mpoly_factor_length(const fmpz_mpoly_factor_t f,
                                                    const fmpz_mpoly_ctx_t FLINT_UNUSED(ctx))
{
    return f->num;
}

void fmpz_mpoly_factor_get_constant_fmpz(fmpz_t c, const fmpz_mpoly_factor_t f, const fmpz_mpoly_ctx_t FLINT_UNUSED(ctx));
void fmpz_mpoly_factor_get_constant_fmpq(fmpq_t c, const fmpz_mpoly_factor_t f, const fmpz_mpoly_ctx_t FLINT_UNUSED(ctx));

FMPZ_MPOLY_FACTOR_INLINE
void fmpz_mpoly_factor_get_base(fmpz_mpoly_t p, const fmpz_mpoly_factor_t f,
                                           slong i, const fmpz_mpoly_ctx_t ctx)
{
    FLINT_ASSERT(i < (ulong) f->num);
    fmpz_mpoly_set(p, f->poly + i, ctx);
}

FMPZ_MPOLY_FACTOR_INLINE
void fmpz_mpoly_factor_swap_base(fmpz_mpoly_t p, fmpz_mpoly_factor_t f,
                                           slong i, const fmpz_mpoly_ctx_t ctx)
{
    FLINT_ASSERT(i < (ulong) f->num);
    fmpz_mpoly_swap(p, f->poly + i, ctx);
}

slong fmpz_mpoly_factor_get_exp_si(fmpz_mpoly_factor_t f, slong i, const fmpz_mpoly_ctx_t FLINT_UNUSED(ctx));

void fmpz_mpoly_factor_set(fmpz_mpoly_factor_t f,
                      const fmpz_mpoly_factor_t g, const fmpz_mpoly_ctx_t ctx);

int fmpz_mpoly_factor_cmp(const fmpz_mpoly_factor_t f,
                      const fmpz_mpoly_factor_t g, const fmpz_mpoly_ctx_t ctx);

void fmpz_mpoly_factor_print_pretty(const fmpz_mpoly_factor_t f,
                               const char ** vars, const fmpz_mpoly_ctx_t ctx);

int fmpz_mpoly_factor_content(fmpz_mpoly_factor_t f,
                             const fmpz_mpoly_t A, const fmpz_mpoly_ctx_t ctx);

int fmpz_mpoly_factor_squarefree(fmpz_mpoly_factor_t f,
                             const fmpz_mpoly_t A, const fmpz_mpoly_ctx_t ctx);

int fmpz_mpoly_factor(fmpz_mpoly_factor_t f,
                             const fmpz_mpoly_t A, const fmpz_mpoly_ctx_t ctx);

FMPZ_MPOLY_FACTOR_INLINE
void fmpz_mpoly_factor_swap(fmpz_mpoly_factor_t f, fmpz_mpoly_factor_t g,
                                                    const fmpz_mpoly_ctx_t FLINT_UNUSED(ctx))
{
   fmpz_mpoly_factor_struct t = *f;
   *f = *g;
   *g = t;
}

void fmpz_mpoly_factor_set_fmpz(fmpz_mpoly_factor_t f, const fmpz_t a, const fmpz_mpoly_ctx_t FLINT_UNUSED(ctx));
void fmpz_mpoly_factor_zero(fmpz_mpoly_factor_t f, const fmpz_mpoly_ctx_t FLINT_UNUSED(ctx));
void fmpz_mpoly_factor_one(fmpz_mpoly_factor_t f, const fmpz_mpoly_ctx_t FLINT_UNUSED(ctx));

void fmpz_mpoly_factor_sort(fmpz_mpoly_factor_t f,
                                                   const fmpz_mpoly_ctx_t ctx);

int fmpz_mpoly_factor_expand(fmpz_mpoly_t A,
                      const fmpz_mpoly_factor_t f, const fmpz_mpoly_ctx_t ctx);

int fmpz_mpoly_factor_bound_si(fmpz_t B, const fmpz_t A,
                                              const slong * degs, slong nvars);

FMPZ_MPOLY_FACTOR_INLINE
int fmpz_mpoly_factor_matches(const fmpz_mpoly_t A,
                       const fmpz_mpoly_factor_t f, const fmpz_mpoly_ctx_t ctx)
{
    int matches;
    fmpz_mpoly_t T;
    fmpz_mpoly_init(T, ctx);
    matches = fmpz_mpoly_factor_expand(T, f, ctx);
    matches = matches && fmpz_mpoly_equal(T, A, ctx);
    fmpz_mpoly_clear(T, ctx);
    return matches;
}

void fmpz_mpoly_factor_append_fmpz_swap(fmpz_mpoly_factor_t f, fmpz_mpoly_t A, const fmpz_t e, const fmpz_mpoly_ctx_t ctx);

void fmpz_mpoly_factor_append_ui(fmpz_mpoly_factor_t f, const fmpz_mpoly_t A, ulong e, const fmpz_mpoly_ctx_t ctx);

/*****************************************************************************/

void fmpz_mpoly_interp_lift_p(fmpz_mpoly_t A,
     const fmpz_mpoly_ctx_t ctx, nmod_mpoly_t Ap, const nmod_mpoly_ctx_t ctxp);

void fmpz_mpoly_interp_reduce_p(nmod_mpoly_t Ap,
                         const nmod_mpoly_ctx_t ctxp, const fmpz_mpoly_t A,
                                                   const fmpz_mpoly_ctx_t ctx);

int fmpz_mpoly_interp_mcrt_p(flint_bitcnt_t * coeffbits,
                fmpz_mpoly_t H, const fmpz_mpoly_ctx_t FLINT_UNUSED(ctx), const fmpz_t m,
                            const nmod_mpoly_t A, const nmod_mpoly_ctx_t ctxp);

void fmpz_mpoly_interp_reduce_p_mpolyn(nmod_mpolyn_t E,
                        const nmod_mpoly_ctx_t pctx, const fmpz_mpoly_t A,
                                                   const fmpz_mpoly_ctx_t ctx);

void fmpz_mpoly_interp_lift_p_mpolyn(fmpz_mpoly_t A,
                        const fmpz_mpoly_ctx_t ctx, const nmod_mpolyn_t B,
                                                  const nmod_mpoly_ctx_t pctx);

int fmpz_mpoly_interp_crt_p_mpolyn(fmpz_mpoly_t F, fmpz_mpoly_t T,
    const fmpz_mpoly_ctx_t ctx, fmpz_t modulus, const nmod_mpolyn_t A,
                                                  const nmod_mpoly_ctx_t pctx);

/*****************************************************************************/

typedef struct
{
    fmpz_mpoly_struct * coeffs;
    slong alloc;
    slong length;
} fmpz_mpolyv_struct;

typedef fmpz_mpolyv_struct fmpz_mpolyv_t[1];

FMPZ_MPOLY_FACTOR_INLINE
void fmpz_mpolyv_init(fmpz_mpolyv_t A, const fmpz_mpoly_ctx_t FLINT_UNUSED(ctx))
{
    A->coeffs = NULL;
    A->alloc = 0;
    A->length = 0;
}

FMPZ_MPOLY_FACTOR_INLINE
void fmpz_mpolyv_swap(fmpz_mpolyv_t A, fmpz_mpolyv_t B,
                                                    const fmpz_mpoly_ctx_t FLINT_UNUSED(ctx))
{
   fmpz_mpolyv_struct t = *A;
   *A = *B;
   *B = t;
}

void fmpz_mpolyv_clear(fmpz_mpolyv_t A, const fmpz_mpoly_ctx_t ctx);

void fmpz_mpolyv_print_pretty(const fmpz_mpolyv_t poly,
                                  const char ** x, const fmpz_mpoly_ctx_t ctx);

void fmpz_mpolyv_fit_length(fmpz_mpolyv_t A, slong length,
                                                   const fmpz_mpoly_ctx_t ctx);

void fmpz_mpolyv_set_coeff(fmpz_mpolyv_t A, slong i,
                                   fmpz_mpoly_t c, const fmpz_mpoly_ctx_t ctx);

void fmpz_mpoly_to_mpolyv(fmpz_mpolyv_t A, const fmpz_mpoly_t B,
                        const fmpz_mpoly_t xalpha, const fmpz_mpoly_ctx_t ctx);


void fmpz_mpoly_from_mpolyv(fmpz_mpoly_t A, flint_bitcnt_t Abits,
                            const fmpz_mpolyv_t B, const fmpz_mpoly_t xalpha,
                                                   const fmpz_mpoly_ctx_t ctx);

int _fmpz_mpoly_vec_content_mpoly(fmpz_mpoly_t g,
          const fmpz_mpoly_struct * A, slong Alen, const fmpz_mpoly_ctx_t ctx);

void _fmpz_mpoly_vec_divexact_mpoly(fmpz_mpoly_struct * A,
                 slong Alen, const fmpz_mpoly_t c, const fmpz_mpoly_ctx_t ctx);

void _fmpz_mpoly_vec_mul_mpoly(fmpz_mpoly_struct * A,
                 slong Alen, const fmpz_mpoly_t c, const fmpz_mpoly_ctx_t ctx);

/*****************************************************************************/

int _fmpz_mpoly_gcd_algo(fmpz_mpoly_t G, fmpz_mpoly_t Abar,
                 fmpz_mpoly_t Bbar, const fmpz_mpoly_t A, const fmpz_mpoly_t B,
                                const fmpz_mpoly_ctx_t ctx, unsigned int algo);

void fmpz_mpoly_to_mpolyl_perm_deflate(
                fmpz_mpoly_t A, const fmpz_mpoly_ctx_t lctx,
                const fmpz_mpoly_t B, const fmpz_mpoly_ctx_t ctx,
                const slong * perm, const ulong * shift, const ulong * stride);

void fmpz_mpoly_from_mpolyl_perm_inflate(fmpz_mpoly_t A,
                flint_bitcnt_t Abits, const fmpz_mpoly_ctx_t ctx,
                const fmpz_mpoly_t B, const fmpz_mpoly_ctx_t lctx,
                const slong * perm, const ulong * shift, const ulong * stride);

int fmpz_mpolyl_gcd_brown(fmpz_mpoly_t G,
        fmpz_mpoly_t Abar, fmpz_mpoly_t Bbar, fmpz_mpoly_t A, fmpz_mpoly_t B,
                         const fmpz_mpoly_ctx_t ctx, const mpoly_gcd_info_t Iv);

int fmpz_mpolyl_gcd_brown_threaded_pool(fmpz_mpoly_t G,
        fmpz_mpoly_t Abar, fmpz_mpoly_t Bbar, fmpz_mpoly_t A, fmpz_mpoly_t B,
                         const fmpz_mpoly_ctx_t ctx, const mpoly_gcd_info_t Iv,
                        const thread_pool_handle * handles, slong num_handles);

int fmpz_mpolyl_gcd_zippel(fmpz_mpoly_t G, fmpz_mpoly_t Abar,
               fmpz_mpoly_t Bbar, const fmpz_mpoly_t A, const fmpz_mpoly_t B,
                           const fmpz_mpoly_ctx_t ctx, flint_rand_t randstate);

int fmpz_mpolyl_gcd_zippel2(fmpz_mpoly_t G, fmpz_mpoly_t Abar,
                fmpz_mpoly_t Bbar, const fmpz_mpoly_t A, const fmpz_mpoly_t B,
                         const fmpz_mpoly_t Gamma, const fmpz_mpoly_ctx_t ctx);

int fmpz_mpolyl_gcd_hensel(fmpz_mpoly_t G, slong Gdeg,
                fmpz_mpoly_t Abar, fmpz_mpoly_t Bbar, const fmpz_mpoly_t A,
                             const fmpz_mpoly_t B, const fmpz_mpoly_ctx_t ctx);

/*****************************************************************************/

typedef struct {
    slong r;
    flint_bitcnt_t * bits;
    fmpz_poly_t a;
    fmpz_poly_t newa;
    fmpz_poly_t t;
    fmpz_poly_struct * b, * bprod;
    fmpz_t old_pk;
    fmpz_t pk;
    fmpz_t p;
    fmpz * halfpks;
    fmpz_mod_ctx_t ctxp;
    fmpz_mod_ctx_struct * ctxs;
    fmpz_mod_poly_t T;
    fmpz_mod_poly_t R;
    fmpz_mod_poly_t Q;
    fmpz_mod_poly_struct * B, * invBprod, * inwBprod, * B_inv;
} fmpz_poly_pfrac_struct;

typedef fmpz_poly_pfrac_struct fmpz_poly_pfrac_t[1];

void fmpz_poly_pfrac_init(fmpz_poly_pfrac_t Iv);

void fmpz_poly_pfrac_clear(fmpz_poly_pfrac_t Iv);

int fmpz_poly_pfrac_precompute(fmpz_poly_pfrac_t Iv,
                                          const fmpz_poly_struct * b, slong r);

int fmpz_poly_pfrac_precomp(fmpz_poly_struct * c,
                                     const fmpz_poly_t A, fmpz_poly_pfrac_t Iv);

typedef struct {
    flint_bitcnt_t bits;
    slong w;
    slong r;
    fmpz_mpoly_struct * prod_mbetas;
    fmpz_mpolyv_struct * prod_mbetas_coeffs;
    fmpz_mpoly_struct * mbetas;
    fmpz_mpoly_struct * deltas;
    fmpz_mpoly_struct * xalpha;
    fmpz_mpoly_struct * q;
    fmpz_mpoly_univar_struct * U;
    fmpz_mpoly_geobucket_struct * G;
    fmpz_mpoly_struct * qt;
    fmpz_mpoly_struct * newt;
    fmpz_mpolyv_struct * delta_coeffs;
    fmpz_poly_pfrac_t uni_pfrac;
    fmpz_poly_t uni_a;
    fmpz_poly_struct * uni_c;
} fmpz_mpoly_pfrac_struct;

typedef fmpz_mpoly_pfrac_struct fmpz_mpoly_pfrac_t[1];

int fmpz_mpoly_pfrac_init(fmpz_mpoly_pfrac_t Iv, flint_bitcnt_t bits,
                            slong r, slong w, const fmpz_mpoly_struct * betas,
                               const fmpz * alpha, const fmpz_mpoly_ctx_t ctx);

void fmpz_mpoly_pfrac_clear(fmpz_mpoly_pfrac_t Iv,
                                                   const fmpz_mpoly_ctx_t ctx);

int fmpz_mpoly_pfrac(slong l, fmpz_mpoly_t t, const slong * degs,
                             fmpz_mpoly_pfrac_t Iv, const fmpz_mpoly_ctx_t ctx);

int fmpz_mpoly_hlift(slong m, fmpz_mpoly_struct * f, slong r,
                const fmpz * alpha, const fmpz_mpoly_t A, const slong * degs,
                                                   const fmpz_mpoly_ctx_t ctx);

void _fmpz_mpoly_get_lead0(fmpz_mpoly_t c, const fmpz_mpoly_t A,
                                                   const fmpz_mpoly_ctx_t ctx);

void _fmpz_mpoly_set_lead0(fmpz_mpoly_t A, const fmpz_mpoly_t B,
                             const fmpz_mpoly_t c, const fmpz_mpoly_ctx_t ctx);

/*****************************************************************************/

typedef struct
{
    fmpz_poly_struct * coeffs;
    slong alloc;
    slong length;
} fmpz_bpoly_struct;

typedef fmpz_bpoly_struct fmpz_bpoly_t[1];

FMPZ_MPOLY_FACTOR_INLINE
void fmpz_bpoly_init(fmpz_bpoly_t A)
{
    A->coeffs = NULL;
    A->alloc = 0;
    A->length = 0;
}

FMPZ_MPOLY_FACTOR_INLINE
void fmpz_bpoly_swap(fmpz_bpoly_t A, fmpz_bpoly_t B)
{
    fmpz_bpoly_struct t = *A;
    *A = *B;
    *B = t;
}

void fmpz_bpoly_clear(fmpz_bpoly_t A);

void fmpz_bpoly_realloc(fmpz_bpoly_t A, slong len);

FMPZ_MPOLY_FACTOR_INLINE
void fmpz_bpoly_fit_length(fmpz_bpoly_t A, slong len)
{
    if (A->alloc < len)
        fmpz_bpoly_realloc(A, len);
}

void fmpz_bpoly_print_pretty(fmpz_bpoly_t A,
                                         const char * var0, const char * var1);

FMPZ_MPOLY_FACTOR_INLINE
fmpz_poly_struct * fmpz_bpoly_lead(fmpz_bpoly_t A)
{
    return A->coeffs + A->length - 1;
}

FMPZ_MPOLY_FACTOR_INLINE
void fmpz_bpoly_zero(fmpz_bpoly_t A)
{
    A->length = 0;
}

FMPZ_MPOLY_FACTOR_INLINE
slong fmpz_bpoly_degree0(const fmpz_bpoly_t A)
{
    return A->length - 1;
}

slong fmpz_bpoly_degree1(const fmpz_bpoly_t A);

void fmpz_bpoly_set_coeff(fmpz_bpoly_t A, slong exp0, slong exp1,
                                                               const fmpz_t c);

void fmpz_mpoly_set_fmpz_bpoly(
    fmpz_mpoly_t A,
    flint_bitcnt_t Abits,
    const fmpz_bpoly_t B,
    slong var0,
    slong var1,
    const fmpz_mpoly_ctx_t ctx);

void fmpz_mpoly_get_bpoly(
    fmpz_bpoly_t A,
    const fmpz_mpoly_t B,
    slong var0,
    slong var1,
    const fmpz_mpoly_ctx_t ctx);

typedef struct
{
    fmpz_bpoly_struct * coeffs;
    slong alloc;
    slong length;
} fmpz_tpoly_struct;

typedef fmpz_tpoly_struct fmpz_tpoly_t[1];

FMPZ_MPOLY_FACTOR_INLINE
void fmpz_tpoly_init(fmpz_tpoly_t A)
{
    A->coeffs = NULL;
    A->alloc = 0;
    A->length = 0;
}

FMPZ_MPOLY_FACTOR_INLINE
void fmpz_tpoly_swap(fmpz_tpoly_t A, fmpz_tpoly_t B)
{
    fmpz_tpoly_struct t = *A;
    *A = *B;
    *B = t;
}

void fmpz_tpoly_fit_length(fmpz_tpoly_t A, slong len);

void fmpz_tpoly_clear(fmpz_tpoly_t A);

void fmpz_bpoly_factor(fmpz_poly_t c, fmpz_tpoly_t F, fmpz_bpoly_t B);

int fmpz_bpoly_factor_ordered(
    fmpz_poly_t c,
    fmpz_tpoly_t F,
    fmpz_bpoly_t B,
    const fmpz_t alpha,
    const fmpz_poly_factor_t Bevalf);

/*****************************************************************************/

void fmpz_mpoly_unit_normalize(fmpz_mpoly_t A, const fmpz_mpoly_ctx_t ctx);

int _fmpz_mpoly_factor_squarefree(fmpz_mpoly_factor_t f,
                   fmpz_mpoly_t A, const fmpz_t e, const fmpz_mpoly_ctx_t ctx);


int fmpz_mpoly_factor_lcc_wang(fmpz_mpoly_struct * lc_divs,
                        const fmpz_mpoly_factor_t lcAfac, const fmpz_t Auc,
                    const fmpz_poly_struct * Auf, slong r, const fmpz * alpha,
                                                   const fmpz_mpoly_ctx_t ctx);

int fmpz_mpoly_factor_irred_zassenhaus(fmpz_mpolyv_t fac,
       const fmpz_mpoly_t A, const fmpz_mpoly_ctx_t ctx, zassenhaus_prune_t FLINT_UNUSED(Z));

int fmpz_mpoly_factor_irred_wang(fmpz_mpolyv_t fac,
                      const fmpz_mpoly_t A, const fmpz_mpoly_factor_t lcAfac,
          int lcAfac_irred, const fmpz_mpoly_t lcA, const fmpz_mpoly_ctx_t ctx,
                    flint_rand_t state, zassenhaus_prune_t Z, int allow_shift);

int fmpz_mpoly_factor_irred_zippel(fmpz_mpolyv_t fac,
                    const fmpz_mpoly_t A, const fmpz_mpoly_factor_t lcAfac,
          int lcAfac_irred, const fmpz_mpoly_t lcA, const fmpz_mpoly_ctx_t ctx,
                                     flint_rand_t state, zassenhaus_prune_t Z);

int fmpz_mpoly_factor_irred(fmpz_mpoly_factor_t f,
                                const fmpz_mpoly_ctx_t ctx, unsigned int algo);

int fmpz_mpoly_factor_zassenhaus(fmpz_mpoly_factor_t f,
                             const fmpz_mpoly_t A, const fmpz_mpoly_ctx_t ctx);

int fmpz_mpoly_factor_wang(fmpz_mpoly_factor_t f,
                             const fmpz_mpoly_t A, const fmpz_mpoly_ctx_t ctx);

int fmpz_mpoly_factor_zippel(fmpz_mpoly_factor_t f,
                             const fmpz_mpoly_t A, const fmpz_mpoly_ctx_t ctx);

int _fmpz_mpoly_evaluate_rest_fmpz(fmpz * E,
         slong * starts, slong * ends, slong * stops, ulong * es,
          const fmpz * Acoeffs, const ulong * Aexps, slong Alen, slong var,
            const fmpz * alphas, const slong * offsets, const slong * shifts,
                                             slong N, ulong mask, slong nvars);

void _fmpz_mpoly_eval_rest_to_poly(fmpz_poly_t E,
        const fmpz_mpoly_t A, const fmpz * alphas, const fmpz_mpoly_ctx_t ctx);

int fmpz_mpoly_factor_lcc_kaltofen_step(
    fmpz_mpoly_struct * divs,   /* length r */
    slong r,
    fmpz_mpoly_factor_t Af, /* squarefree factorization of A */
    const fmpz_poly_struct * Au,
    slong v,                      /* minor bivar var*/
    const fmpz * alphas,
    const fmpz_mpoly_ctx_t ctx);

int fmpz_mpoly_factor_lcc_kaltofen(
    fmpz_mpoly_struct * divs,
    const fmpz_mpoly_factor_t lcAf_,
    const fmpz_mpoly_t A,
    slong r,
    const fmpz * alpha,
    slong * degs,
    const fmpz_poly_factor_t uf,
    const fmpz_mpoly_ctx_t ctx);

int fmpz_mpoly_evaluate_rest_except_one(
    fmpz_poly_t e,
    const fmpz_mpoly_t A,
    const fmpz * alphas,
    slong v,
    const fmpz_mpoly_ctx_t ctx);

/****************************************************************************/

void fmpz_mpoly_compression_do(fmpz_mpoly_t L,
                     const fmpz_mpoly_ctx_t Lctx, fmpz * Acoeffs, slong Alen,
                                                        mpoly_compression_t M);

void fmpz_mpoly_compression_undo(fmpz_mpoly_t A, flint_bitcnt_t Abits,
    const fmpz_mpoly_ctx_t Actx, fmpz_mpoly_t L, const fmpz_mpoly_ctx_t Lctx,
                                                        mpoly_compression_t M);

#ifdef __cplusplus
}
#endif

#endif