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annotate libtommath/bn_mp_is_square.c @ 1680:5e763ad6e2e0

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author Matt Johnston <matt@ucc.asn.au>
date Sun, 24 May 2020 13:34:19 +0800
parents f52919ffd3b1
children 1051e4eea25a
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rev   line source
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f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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parents: 1470
diff changeset
1 #include "tommath_private.h"
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2 #ifdef BN_MP_IS_SQUARE_C
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3 /* LibTomMath, multiple-precision integer library -- Tom St Denis
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4 *
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5 * LibTomMath is a library that provides multiple-precision
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6 * integer arithmetic as well as number theoretic functionality.
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7 *
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8 * The library was designed directly after the MPI library by
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9 * Michael Fromberger but has been written from scratch with
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10 * additional optimizations in place.
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11 *
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f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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diff changeset
12 * SPDX-License-Identifier: Unlicense
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13 */
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14
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15 /* Check if remainders are possible squares - fast exclude non-squares */
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16 static const char rem_128[128] = {
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f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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17 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1,
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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18 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1,
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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19 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1,
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20 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1,
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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parents: 1470
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21 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1,
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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22 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1,
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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parents: 1470
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23 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1,
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parents: 1470
diff changeset
24 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1
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25 };
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26
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27 static const char rem_105[105] = {
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f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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28 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1,
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29 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1,
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30 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1,
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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parents: 1470
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31 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1,
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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32 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1,
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33 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1,
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parents: 1470
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34 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1
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35 };
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36
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37 /* Store non-zero to ret if arg is square, and zero if not */
1655
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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38 int mp_is_square(const mp_int *arg, int *ret)
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diff changeset
39 {
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40 int res;
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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41 mp_digit c;
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42 mp_int t;
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43 unsigned long r;
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44
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45 /* Default to Non-square :) */
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46 *ret = MP_NO;
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47
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48 if (arg->sign == MP_NEG) {
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49 return MP_VAL;
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50 }
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51
1655
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52 /* digits used? (TSD) */
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53 if (arg->used == 0) {
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54 return MP_OKAY;
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55 }
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56
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57 /* First check mod 128 (suppose that DIGIT_BIT is at least 7) */
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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58 if (rem_128[127u & DIGIT(arg, 0)] == (char)1) {
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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59 return MP_OKAY;
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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parents: 1470
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60 }
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61
1655
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diff changeset
62 /* Next check mod 105 (3*5*7) */
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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parents: 1470
diff changeset
63 if ((res = mp_mod_d(arg, 105uL, &c)) != MP_OKAY) {
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
64 return res;
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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parents: 1470
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65 }
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
66 if (rem_105[c] == (char)1) {
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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parents: 1470
diff changeset
67 return MP_OKAY;
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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parents: 1470
diff changeset
68 }
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parents:
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69
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parents:
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70
1655
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diff changeset
71 if ((res = mp_init_set_int(&t, 11L*13L*17L*19L*23L*29L*31L)) != MP_OKAY) {
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
72 return res;
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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parents: 1470
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73 }
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
74 if ((res = mp_mod(arg, &t, &t)) != MP_OKAY) {
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Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
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75 goto LBL_ERR;
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Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
76 }
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
77 r = mp_get_int(&t);
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Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
78 /* Check for other prime modules, note it's not an ERROR but we must
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Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
79 * free "t" so the easiest way is to goto LBL_ERR. We know that res
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
80 * is already equal to MP_OKAY from the mp_mod call
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
81 */
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Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
82 if (((1uL<<(r%11uL)) & 0x5C4uL) != 0uL) goto LBL_ERR;
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Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
83 if (((1uL<<(r%13uL)) & 0x9E4uL) != 0uL) goto LBL_ERR;
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Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
84 if (((1uL<<(r%17uL)) & 0x5CE8uL) != 0uL) goto LBL_ERR;
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
85 if (((1uL<<(r%19uL)) & 0x4F50CuL) != 0uL) goto LBL_ERR;
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
86 if (((1uL<<(r%23uL)) & 0x7ACCA0uL) != 0uL) goto LBL_ERR;
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
87 if (((1uL<<(r%29uL)) & 0xC2EDD0CuL) != 0uL) goto LBL_ERR;
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
88 if (((1uL<<(r%31uL)) & 0x6DE2B848uL) != 0uL) goto LBL_ERR;
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parents:
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89
1655
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Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
90 /* Final check - is sqr(sqrt(arg)) == arg ? */
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
91 if ((res = mp_sqrt(arg, &t)) != MP_OKAY) {
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
diff changeset
92 goto LBL_ERR;
f52919ffd3b1 update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents: 1470
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93 }
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94 if ((res = mp_sqr(&t, &t)) != MP_OKAY) {
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95 goto LBL_ERR;
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parents: 1470
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96 }
284
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97
1655
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parents: 1470
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98 *ret = (mp_cmp_mag(&t, arg) == MP_EQ) ? MP_YES : MP_NO;
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99 LBL_ERR:
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parents: 1470
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100 mp_clear(&t);
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101 return res;
284
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102 }
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parents:
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103 #endif
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104
1655
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105 /* ref: HEAD -> master, tag: v1.1.0 */
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106 /* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
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107 /* commit time: 2019-01-28 20:32:32 +0100 */