1 /*
2     Copyright (C) 2013 William Hart
3 
4     This file is part of FLINT.
5 
6     FLINT is free software: you can redistribute it and/or modify it under
7     the terms of the GNU Lesser General Public License (LGPL) as published
8     by the Free Software Foundation; either version 2.1 of the License, or
9     (at your option) any later version.  See <http://www.gnu.org/licenses/>.
10 */
11 
12 #include <stdio.h>
13 #include <stdlib.h>
14 #include <gmp.h>
15 #include "flint.h"
16 #include "longlong.h"
17 #include "mpn_extras.h"
18 #include "ulong_extras.h"
19 
main(void)20 int main(void)
21 {
22     int i, result;
23     mpz_t a, b, d, r1, r2;
24     gmp_randstate_t st;
25     mp_limb_t d1, d2, dinv;
26     mp_size_t size;
27     flint_bitcnt_t norm;
28 
29     FLINT_TEST_INIT(state);
30 
31     flint_printf("mulmod_preinv1....");
32     fflush(stdout);
33 
34     mpz_init(a);
35     mpz_init(b);
36     mpz_init(d);
37     mpz_init(r1);
38     /* don't init r2 */
39 
40     gmp_randinit_default(st);
41 
42     for (i = 0; i < 10000; i++)
43     {
44        size = n_randint(state, 200) + 2;
45 
46        mpz_rrandomb(a, st, size*FLINT_BITS);
47        mpz_rrandomb(b, st, size*FLINT_BITS);
48        do {
49           mpz_rrandomb(d, st, size*FLINT_BITS);
50        } while (mpz_sgn(d) == 0);
51 
52        /* reduce a, b mod d */
53        mpz_fdiv_r(a, a, d);
54        mpz_fdiv_r(b, b, d);
55 
56        mpz_mul(r1, a, b);
57        mpz_fdiv_r(r1, r1, d);
58 
59        /* normalise */
60        count_leading_zeros(norm, d->_mp_d[d->_mp_size - 1]);
61        mpz_mul_2exp(a, a, norm);
62        mpz_mul_2exp(b, b, norm);
63        mpz_mul_2exp(d, d, norm);
64 
65        d1 = d->_mp_d[size - 1];
66        d2 = d->_mp_d[size - 2];
67        dinv = flint_mpn_preinv1(d1, d2);
68 
69        r2->_mp_d = flint_malloc(size*sizeof(mp_limb_t));
70 
71        flint_mpn_mulmod_preinv1(r2->_mp_d, a->_mp_d, b->_mp_d, size, d->_mp_d, dinv, norm);
72 
73        /* normalise */
74        while (size && r2->_mp_d[size - 1] == 0) size--;
75        r2->_mp_size = size;
76        r2->_mp_alloc = size;
77 
78        result = (mpz_cmp(r1, r2) == 0);
79        if (!result)
80        {
81           flint_printf("FAIL:\n");
82           gmp_printf("%Zd\n", a);
83           gmp_printf("%Zd\n", b);
84           gmp_printf("%Zd\n", d);
85           gmp_printf("%Zd\n", r1);
86           gmp_printf("%Zd\n", r2);
87           abort();
88        }
89 
90        flint_free(r2->_mp_d);
91     }
92 
93     mpz_clear(a);
94     mpz_clear(b);
95     mpz_clear(d);
96     mpz_clear(r1);
97     /* don't init r2 */
98 
99     gmp_randclear(st);
100     FLINT_TEST_CLEANUP(state);
101 
102     flint_printf("PASS\n");
103     return 0;
104 }
105