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

/*
    Copyright (C) 2017 Luca De Feo

    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/>.
*/

#ifdef T
#ifdef B

#include "templates.h"

void TEMPLATE(T, embed_gens)(TEMPLATE(T, t) gen_sub,
                             TEMPLATE(T, t) gen_sup,
                             TEMPLATE(B, poly_t) minpoly,
                             const TEMPLATE(T, ctx_t) sub_ctx,
                             const TEMPLATE(T, ctx_t) sup_ctx)
{
    if (TEMPLATE(T, ctx_degree)(sub_ctx) == 1)
    {
        TEMPLATE(T, gen)(gen_sub, sub_ctx);
        TEMPLATE(T, set)(gen_sup, gen_sub, sup_ctx);
    }
    else
    {
        _TEMPLATE(T, embed_gens_naive)(gen_sub, gen_sup, minpoly, sub_ctx, sup_ctx);
    }
}

void _TEMPLATE(T, embed_gens_naive)(TEMPLATE(T, t) gen_sub,
                                    TEMPLATE(T, t) gen_sup,
                                    TEMPLATE(B, poly_t) minpoly,
                                    const TEMPLATE(T, ctx_t) sub_ctx,
                                    const TEMPLATE(T, ctx_t) sup_ctx)
{
    TEMPLATE(T, poly_t) modulus, fact;
    flint_rand_t state;

    TEMPLATE(T, poly_init) (modulus, sup_ctx);
    TEMPLATE(T, poly_init) (fact, sup_ctx);
    TEMPLATE4(T, poly_set, B, poly)(modulus,
				    TEMPLATE(T, ctx_modulus)(sub_ctx),
				    sup_ctx);

    flint_rand_init(state);

    /* Get one linear factor of sub_ctx->modulus in sup_ctx */
    while (TEMPLATE(T, poly_degree)(modulus, sup_ctx) != 1)
    {
        while (!TEMPLATE(T, poly_factor_equal_deg_prob)
               (fact, state, modulus, 1, sup_ctx))
        {
        };
        TEMPLATE(T, poly_set)(modulus, fact, sup_ctx);
    }

    flint_rand_clear(state);

    TEMPLATE(T, gen)(gen_sub, sub_ctx);
    TEMPLATE(T, set)(gen_sup, modulus->coeffs, sup_ctx);
    TEMPLATE(T, neg)(gen_sup, gen_sup, sup_ctx);

    TEMPLATE(B, poly_set)(minpoly, TEMPLATE(T, ctx_modulus)(sub_ctx));

    TEMPLATE(T, poly_clear) (modulus, sup_ctx);
    TEMPLATE(T, poly_clear) (fact, sup_ctx);
}


#endif
#endif