flint3-sys 3.6.0

Rust 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

/*
    Copyright (C) 2026 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 <stdint.h>
#include "double_extras.h"
#include "fmpz.h"
#include "gr.h"
#include "profiler.h"
#include "radix.h"
#include "padic_radix.h"
#include "padic.h"
#include "nmod.h"

int main()
{
    flint_rand_t state;
    ulong p;
    slong n;
    int pi;

    flint_rand_init(state);
    radix_t radix;

    for (pi = 0; pi < 2; pi++)
    {
        p = (pi == 0) ? 7 : n_nextprime(UWORD(1) << (FLINT_BITS - 1), 0);

        radix_init(radix, p, 0);

        flint_printf("precision %wu^n, limb radix = %wu^%wd\n\n", p, p, radix->exp);

        for (n = 10; n <= 11000000; n *= 2)
        {
            gr_ctx_t ctx;
            radix_integer_t x, y;
            padic_radix_t rx, ry;
            padic_ctx_t pctx;
            padic_t px, py;
            fmpz_t fp, pn, fx, fy;

            fmpz_init_set_ui(fp, p);
            fmpz_init(pn);
            fmpz_ui_pow_ui(pn, p, n);

            padic_ctx_init(pctx, fp, n - 1, n + 1, PADIC_SERIES);
            gr_ctx_init_padic_radix(ctx, p, n, PADIC_RADIX_PREC_INF, 0);

            radix_integer_init(x, radix);
            radix_integer_init(y, radix);

            padic_init2(px, n);
            padic_init2(py, n);

            fmpz_init(fx);
            fmpz_init(fy);

            padic_radix_init(rx, ctx);
            padic_radix_init(ry, ctx);

            do
            {
                fmpz_randm(fx, state, pn);
            } while (fmpz_divisible_ui(fx, p));

            padic_set_fmpz(px, fx, pctx);
            padic_shift(px, px, 1, pctx);

            padic_radix_set_fmpz(rx, fx, ctx);
            rx->N = n;
            rx->v = 1;
            rx->N += 1;

            double t1, t2 = 0.0, t3, t4, FLINT_SET_BUT_UNUSED(__);

            TIMEIT_START;
            padic_exp(py, px, pctx);
            TIMEIT_STOP_VALUES(__, t1);

            if (n < 1000)
            {
                TIMEIT_START;
                padic_radix_exp_rectangular(ry, rx, ctx);
                TIMEIT_STOP_VALUES(__, t2);
            }
            else
                t2 = D_NAN;

            TIMEIT_START;
            padic_radix_exp_balanced(ry, rx, ctx);
            TIMEIT_STOP_VALUES(__, t3);

            TIMEIT_START;
            padic_radix_exp(ry, rx, ctx);
            TIMEIT_STOP_VALUES(__, t4);

            if (n == 10)
                flint_printf("       n      padic     rectangular   balanced    default   speedup\n");

            flint_printf("%8wd   %10g  %10g  %10g  %10g  %6.3fx\n", n, t1, t2, t3, t4, t1 / t4);

            padic_radix_clear(rx, ctx);
            padic_radix_clear(ry, ctx);

            padic_clear(px);
            padic_clear(py);

            radix_integer_clear(x, radix);
            radix_integer_clear(y, radix);

            fmpz_clear(fx);
            fmpz_clear(fy);

            gr_ctx_clear(ctx);
            padic_ctx_clear(pctx);

            fmpz_clear(pn);
            fmpz_clear(fp);
        }

        radix_clear(radix);

        flint_printf("\n");
    }

    radix_clear(radix);
    flint_rand_clear(state);
    flint_cleanup_master();
    return 0;
}