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

/*
    Copyright (C) 2023 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 "test_helpers.h"
#include "ulong_extras.h"
#include "gr_poly.h"

TEST_FUNCTION_START(gr_poly_taylor_shift_convolution, state)
{
    slong iter;

    for (iter = 0; iter < 1000; iter++)
    {
        int status;
        gr_ctx_t ctx;
        gr_poly_t F, Fc, Fcd1, Fcd2;
        gr_ptr c, d, cd;

        /* check F(x+c)(x+d) = F(x+c+d) */
        gr_ctx_init_random_commutative_ring(ctx, state);

        gr_poly_init(F, ctx);
        gr_poly_init(Fc, ctx);
        gr_poly_init(Fcd1, ctx);
        gr_poly_init(Fcd2, ctx);

        c = gr_heap_init(ctx);
        d = gr_heap_init(ctx);
        cd = gr_heap_init(ctx);

        status = GR_SUCCESS;

        status |= gr_poly_randtest(F, state, 1 + n_randint(state, 10), ctx);
        status |= gr_poly_randtest(Fc, state, 1 + n_randint(state, 10), ctx);
        status |= gr_randtest(c, state, ctx);
        status |= gr_randtest(d, state, ctx);
        status |= gr_add(cd, c, d, ctx);

        status |= gr_poly_taylor_shift_convolution(Fc, F, c, ctx);
        status |= gr_poly_taylor_shift_convolution(Fcd1, Fc, d, ctx);
        status |= gr_poly_set(Fcd2, F, ctx); /* also test aliasing */
        status |= gr_poly_taylor_shift_convolution(Fcd2, Fcd2, cd, ctx);

        if (status == GR_SUCCESS && gr_poly_equal(Fcd1, Fcd2, ctx) == T_FALSE)
        {
            flint_printf("FAIL\n\n");
            flint_printf("c = "); gr_println(c, ctx);
            flint_printf("d = "); gr_println(d, ctx);
            flint_printf("cd = "); gr_println(cd, ctx);
            flint_printf("F = "); gr_poly_print(F, ctx); flint_printf("\n");
            flint_printf("Fc = "); gr_poly_print(Fc, ctx); flint_printf("\n");
            flint_printf("Fcd1 = "); gr_poly_print(Fcd1, ctx); flint_printf("\n");
            flint_printf("Fcd2 = "); gr_poly_print(Fcd2, ctx); flint_printf("\n");
            flint_abort();
        }

        gr_poly_clear(F, ctx);
        gr_poly_clear(Fc, ctx);
        gr_poly_clear(Fcd1, ctx);
        gr_poly_clear(Fcd2, ctx);

        gr_heap_clear(c, ctx);
        gr_heap_clear(d, ctx);
        gr_heap_clear(cd, ctx);

        gr_ctx_clear(ctx);
    }

    TEST_FUNCTION_END(state);
}