Mercurial > dropbear
comparison libtommath/bn_mp_is_square.c @ 1733:d529a52b2f7c coverity coverity
merge coverity from main
author | Matt Johnston <matt@ucc.asn.au> |
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date | Fri, 26 Jun 2020 21:07:34 +0800 |
parents | 1051e4eea25a |
children |
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1643:b59623a64678 | 1733:d529a52b2f7c |
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1 #include <tommath_private.h> | 1 #include "tommath_private.h" |
2 #ifdef BN_MP_IS_SQUARE_C | 2 #ifdef BN_MP_IS_SQUARE_C |
3 /* LibTomMath, multiple-precision integer library -- Tom St Denis | 3 /* LibTomMath, multiple-precision integer library -- Tom St Denis */ |
4 * | 4 /* SPDX-License-Identifier: Unlicense */ |
5 * LibTomMath is a library that provides multiple-precision | |
6 * integer arithmetic as well as number theoretic functionality. | |
7 * | |
8 * The library was designed directly after the MPI library by | |
9 * Michael Fromberger but has been written from scratch with | |
10 * additional optimizations in place. | |
11 * | |
12 * The library is free for all purposes without any express | |
13 * guarantee it works. | |
14 * | |
15 * Tom St Denis, [email protected], http://libtom.org | |
16 */ | |
17 | 5 |
18 /* Check if remainders are possible squares - fast exclude non-squares */ | 6 /* Check if remainders are possible squares - fast exclude non-squares */ |
19 static const char rem_128[128] = { | 7 static const char rem_128[128] = { |
20 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, | 8 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, |
21 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, | 9 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, |
22 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, | 10 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, |
23 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, | 11 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, |
24 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, | 12 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, |
25 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, | 13 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, |
26 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, | 14 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, |
27 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1 | 15 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1 |
28 }; | 16 }; |
29 | 17 |
30 static const char rem_105[105] = { | 18 static const char rem_105[105] = { |
31 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, | 19 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, |
32 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, | 20 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, |
33 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, | 21 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, |
34 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, | 22 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, |
35 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, | 23 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, |
36 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, | 24 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, |
37 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1 | 25 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1 |
38 }; | 26 }; |
39 | 27 |
40 /* Store non-zero to ret if arg is square, and zero if not */ | 28 /* Store non-zero to ret if arg is square, and zero if not */ |
41 int mp_is_square(mp_int *arg,int *ret) | 29 mp_err mp_is_square(const mp_int *arg, mp_bool *ret) |
42 { | 30 { |
43 int res; | 31 mp_err err; |
44 mp_digit c; | 32 mp_digit c; |
45 mp_int t; | 33 mp_int t; |
46 unsigned long r; | 34 unsigned long r; |
47 | 35 |
48 /* Default to Non-square :) */ | 36 /* Default to Non-square :) */ |
49 *ret = MP_NO; | 37 *ret = MP_NO; |
50 | 38 |
51 if (arg->sign == MP_NEG) { | 39 if (arg->sign == MP_NEG) { |
52 return MP_VAL; | 40 return MP_VAL; |
53 } | 41 } |
54 | 42 |
55 /* digits used? (TSD) */ | 43 if (MP_IS_ZERO(arg)) { |
56 if (arg->used == 0) { | 44 return MP_OKAY; |
57 return MP_OKAY; | 45 } |
58 } | |
59 | 46 |
60 /* First check mod 128 (suppose that DIGIT_BIT is at least 7) */ | 47 /* First check mod 128 (suppose that MP_DIGIT_BIT is at least 7) */ |
61 if (rem_128[127 & DIGIT(arg,0)] == 1) { | 48 if (rem_128[127u & arg->dp[0]] == (char)1) { |
62 return MP_OKAY; | 49 return MP_OKAY; |
63 } | 50 } |
64 | 51 |
65 /* Next check mod 105 (3*5*7) */ | 52 /* Next check mod 105 (3*5*7) */ |
66 if ((res = mp_mod_d(arg,105,&c)) != MP_OKAY) { | 53 if ((err = mp_mod_d(arg, 105uL, &c)) != MP_OKAY) { |
67 return res; | 54 return err; |
68 } | 55 } |
69 if (rem_105[c] == 1) { | 56 if (rem_105[c] == (char)1) { |
70 return MP_OKAY; | 57 return MP_OKAY; |
71 } | 58 } |
72 | 59 |
73 | 60 |
74 if ((res = mp_init_set_int(&t,11L*13L*17L*19L*23L*29L*31L)) != MP_OKAY) { | 61 if ((err = mp_init_u32(&t, 11u*13u*17u*19u*23u*29u*31u)) != MP_OKAY) { |
75 return res; | 62 return err; |
76 } | 63 } |
77 if ((res = mp_mod(arg,&t,&t)) != MP_OKAY) { | 64 if ((err = mp_mod(arg, &t, &t)) != MP_OKAY) { |
78 goto ERR; | 65 goto LBL_ERR; |
79 } | 66 } |
80 r = mp_get_int(&t); | 67 r = mp_get_u32(&t); |
81 /* Check for other prime modules, note it's not an ERROR but we must | 68 /* Check for other prime modules, note it's not an ERROR but we must |
82 * free "t" so the easiest way is to goto ERR. We know that res | 69 * free "t" so the easiest way is to goto LBL_ERR. We know that err |
83 * is already equal to MP_OKAY from the mp_mod call | 70 * is already equal to MP_OKAY from the mp_mod call |
84 */ | 71 */ |
85 if (((1L<<(r%11)) & 0x5C4L) != 0L) goto ERR; | 72 if (((1uL<<(r%11uL)) & 0x5C4uL) != 0uL) goto LBL_ERR; |
86 if (((1L<<(r%13)) & 0x9E4L) != 0L) goto ERR; | 73 if (((1uL<<(r%13uL)) & 0x9E4uL) != 0uL) goto LBL_ERR; |
87 if (((1L<<(r%17)) & 0x5CE8L) != 0L) goto ERR; | 74 if (((1uL<<(r%17uL)) & 0x5CE8uL) != 0uL) goto LBL_ERR; |
88 if (((1L<<(r%19)) & 0x4F50CL) != 0L) goto ERR; | 75 if (((1uL<<(r%19uL)) & 0x4F50CuL) != 0uL) goto LBL_ERR; |
89 if (((1L<<(r%23)) & 0x7ACCA0L) != 0L) goto ERR; | 76 if (((1uL<<(r%23uL)) & 0x7ACCA0uL) != 0uL) goto LBL_ERR; |
90 if (((1L<<(r%29)) & 0xC2EDD0CL) != 0L) goto ERR; | 77 if (((1uL<<(r%29uL)) & 0xC2EDD0CuL) != 0uL) goto LBL_ERR; |
91 if (((1L<<(r%31)) & 0x6DE2B848L) != 0L) goto ERR; | 78 if (((1uL<<(r%31uL)) & 0x6DE2B848uL) != 0uL) goto LBL_ERR; |
92 | 79 |
93 /* Final check - is sqr(sqrt(arg)) == arg ? */ | 80 /* Final check - is sqr(sqrt(arg)) == arg ? */ |
94 if ((res = mp_sqrt(arg,&t)) != MP_OKAY) { | 81 if ((err = mp_sqrt(arg, &t)) != MP_OKAY) { |
95 goto ERR; | 82 goto LBL_ERR; |
96 } | 83 } |
97 if ((res = mp_sqr(&t,&t)) != MP_OKAY) { | 84 if ((err = mp_sqr(&t, &t)) != MP_OKAY) { |
98 goto ERR; | 85 goto LBL_ERR; |
99 } | 86 } |
100 | 87 |
101 *ret = (mp_cmp_mag(&t,arg) == MP_EQ) ? MP_YES : MP_NO; | 88 *ret = (mp_cmp_mag(&t, arg) == MP_EQ) ? MP_YES : MP_NO; |
102 ERR:mp_clear(&t); | 89 LBL_ERR: |
103 return res; | 90 mp_clear(&t); |
91 return err; | |
104 } | 92 } |
105 #endif | 93 #endif |
106 | |
107 /* ref: $Format:%D$ */ | |
108 /* git commit: $Format:%H$ */ | |
109 /* commit time: $Format:%ai$ */ |