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

/*
    Copyright (C) 2020 Fredrik Johansson

    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/>.
*/

#include "fmpq.h"
#include "fmpz_mpoly_q.h"

void
_fmpz_mpoly_q_div(fmpz_mpoly_t res_num, fmpz_mpoly_t res_den,
            const fmpz_mpoly_t x_num, const fmpz_mpoly_t x_den,
            const fmpz_mpoly_t y_num, const fmpz_mpoly_t y_den,
            const fmpz_mpoly_ctx_t ctx)
{
    if (fmpz_mpoly_is_zero(y_num, ctx))
    {
        flint_throw(FLINT_DIVZERO, "_fmpz_mpoly_q_div: division by zero\n");
    }

    if (fmpz_mpoly_is_zero(x_num, ctx) || fmpz_mpoly_is_zero(y_num, ctx))
    {
        fmpz_mpoly_zero(res_num, ctx);
        fmpz_mpoly_one(res_den, ctx);
        return;
    }

    if (res_num == y_num)
    {
        fmpz_mpoly_t t, u;
        fmpz_mpoly_init(t, ctx);
        fmpz_mpoly_init(u, ctx);
        _fmpz_mpoly_q_mul(t, u, x_num, x_den, y_den, y_num, ctx);
        fmpz_mpoly_swap(res_num, t, ctx);
        fmpz_mpoly_swap(res_den, u, ctx);
        fmpz_mpoly_clear(t, ctx);
        fmpz_mpoly_clear(u, ctx);
    }
    else
    {
        _fmpz_mpoly_q_mul(res_num, res_den, x_num, x_den, y_den, y_num, ctx);
    }

    if (fmpz_sgn(res_den->coeffs) < 0)
    {
        fmpz_mpoly_neg(res_num, res_num, ctx);
        fmpz_mpoly_neg(res_den, res_den, ctx);
    }
}

void
fmpz_mpoly_q_div(fmpz_mpoly_q_t res, const fmpz_mpoly_q_t x, const fmpz_mpoly_q_t y, const fmpz_mpoly_ctx_t ctx)
{
    _fmpz_mpoly_q_div(fmpz_mpoly_q_numref(res), fmpz_mpoly_q_denref(res),
                fmpz_mpoly_q_numref(x), fmpz_mpoly_q_denref(x),
                fmpz_mpoly_q_numref(y), fmpz_mpoly_q_denref(y),
                ctx);
}

void
fmpz_mpoly_q_div_fmpq(fmpz_mpoly_q_t res, const fmpz_mpoly_q_t x, const fmpq_t y, const fmpz_mpoly_ctx_t ctx)
{
    if (fmpq_is_zero(y))
    {
        flint_throw(FLINT_DIVZERO, "fmpz_mpoly_q_div_fmpq: division by zero\n");
    }
    else
    {
        if (fmpz_sgn(fmpq_numref(y)) > 0)
        {
            _fmpz_mpoly_q_mul_fmpq(fmpz_mpoly_q_numref(res), fmpz_mpoly_q_denref(res),
                        fmpz_mpoly_q_numref(x), fmpz_mpoly_q_denref(x),
                        fmpq_denref(y), fmpq_numref(y),
                        ctx);
        }
        else
        {
            fmpz_t t, u;
            fmpz_init(t);
            fmpz_init(u);
            fmpz_neg(t, fmpq_numref(y));
            fmpz_neg(u, fmpq_denref(y));

            _fmpz_mpoly_q_mul_fmpq(fmpz_mpoly_q_numref(res), fmpz_mpoly_q_denref(res),
                        fmpz_mpoly_q_numref(x), fmpz_mpoly_q_denref(x),
                        u, t,
                        ctx);

            fmpz_clear(t);
            fmpz_clear(u);
        }
    }
}

void
fmpz_mpoly_q_div_fmpz(fmpz_mpoly_q_t res, const fmpz_mpoly_q_t x, const fmpz_t y, const fmpz_mpoly_ctx_t ctx)
{
    if (fmpz_is_zero(y))
    {
        flint_throw(FLINT_DIVZERO, "fmpz_mpoly_q_div_fmpz: division by zero\n");
    }
    else
    {
        if (fmpz_sgn(y) > 0)
        {
            fmpz_t one;
            *one = 1;
            _fmpz_mpoly_q_mul_fmpq(fmpz_mpoly_q_numref(res), fmpz_mpoly_q_denref(res),
                        fmpz_mpoly_q_numref(x), fmpz_mpoly_q_denref(x),
                        one, y,
                        ctx);
        }
        else
        {
            fmpz_t t;
            fmpz_t one;
            *one = -1;
            fmpz_init(t);
            fmpz_neg(t, y);

            _fmpz_mpoly_q_mul_fmpq(fmpz_mpoly_q_numref(res), fmpz_mpoly_q_denref(res),
                        fmpz_mpoly_q_numref(x), fmpz_mpoly_q_denref(x),
                        one, t,
                        ctx);

            fmpz_clear(t);
        }
    }
}