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Austin Schuhbb1338c2024-06-15 19:31:16 -07001/* mpz_congruent_ui_p -- test congruence of mpz and ulong.
2
3Copyright 2000-2002, 2012 Free Software Foundation, Inc.
4
5This file is part of the GNU MP Library.
6
7The GNU MP Library is free software; you can redistribute it and/or modify
8it under the terms of either:
9
10 * the GNU Lesser General Public License as published by the Free
11 Software Foundation; either version 3 of the License, or (at your
12 option) any later version.
13
14or
15
16 * the GNU General Public License as published by the Free Software
17 Foundation; either version 2 of the License, or (at your option) any
18 later version.
19
20or both in parallel, as here.
21
22The GNU MP Library is distributed in the hope that it will be useful, but
23WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
24or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
25for more details.
26
27You should have received copies of the GNU General Public License and the
28GNU Lesser General Public License along with the GNU MP Library. If not,
29see https://www.gnu.org/licenses/. */
30
31#include "gmp-impl.h"
32#include "longlong.h"
33
34
35/* There's some explicit checks for c<d since it seems reasonably likely an
36 application might use that in a test.
37
38 Hopefully the compiler can generate something good for r==(c%d), though
39 if modexact is being used exclusively then that's not reached. */
40
41int
42mpz_congruent_ui_p (mpz_srcptr a, unsigned long cu, unsigned long du)
43{
44 mp_srcptr ap;
45 mp_size_t asize;
46 mp_limb_t c, d, r;
47
48 if (UNLIKELY (du == 0))
49 return (mpz_cmp_ui (a, cu) == 0);
50
51 asize = SIZ(a);
52 if (asize == 0)
53 {
54 if (cu < du)
55 return cu == 0;
56 else
57 return (cu % du) == 0;
58 }
59
60 /* For nails don't try to be clever if c or d is bigger than a limb, just
61 fake up some mpz_t's and go to the main mpz_congruent_p. */
62 if (du > GMP_NUMB_MAX || cu > GMP_NUMB_MAX)
63 {
64 mp_limb_t climbs[2], dlimbs[2];
65 mpz_t cz, dz;
66
67 ALLOC(cz) = 2;
68 PTR(cz) = climbs;
69 ALLOC(dz) = 2;
70 PTR(dz) = dlimbs;
71
72 mpz_set_ui (cz, cu);
73 mpz_set_ui (dz, du);
74 return mpz_congruent_p (a, cz, dz);
75 }
76
77 /* NEG_MOD works on limbs, so convert ulong to limb */
78 c = cu;
79 d = du;
80
81 if (asize < 0)
82 {
83 asize = -asize;
84 NEG_MOD (c, c, d);
85 }
86
87 ap = PTR (a);
88
89 if (ABOVE_THRESHOLD (asize, BMOD_1_TO_MOD_1_THRESHOLD))
90 {
91 r = mpn_mod_1 (ap, asize, d);
92 if (c < d)
93 return r == c;
94 else
95 return r == (c % d);
96 }
97
98 if ((d & 1) == 0)
99 {
100 /* Strip low zero bits to get odd d required by modexact. If
101 d==e*2^n then a==c mod d if and only if both a==c mod 2^n
102 and a==c mod e. */
103
104 unsigned twos;
105
106 if ((ap[0]-c) & LOW_ZEROS_MASK (d))
107 return 0;
108
109 count_trailing_zeros (twos, d);
110 d >>= twos;
111 }
112
113 r = mpn_modexact_1c_odd (ap, asize, d, c);
114 return r == 0 || r == d;
115}