Mercurial > dropbear
annotate libtommath/bn_mp_is_square.c @ 1670:aeda68938596
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author | jcmathews <jesselcmathews@yahoo.co.in> |
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date | Mon, 25 May 2020 18:32:59 +0530 |
parents | f52919ffd3b1 |
children | 1051e4eea25a |
rev | line source |
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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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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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17 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, |
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18 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, |
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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, |
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21 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, |
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22 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, |
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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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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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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, |
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31 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, |
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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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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 */ |
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38 int mp_is_square(const mp_int *arg, int *ret) |
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39 { |
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40 int res; |
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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 |
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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) */ |
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58 if (rem_128[127u & DIGIT(arg, 0)] == (char)1) { |
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59 return MP_OKAY; |
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60 } |
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61 |
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62 /* Next check mod 105 (3*5*7) */ |
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63 if ((res = mp_mod_d(arg, 105uL, &c)) != MP_OKAY) { |
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64 return res; |
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65 } |
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66 if (rem_105[c] == (char)1) { |
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67 return MP_OKAY; |
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68 } |
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69 |
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70 |
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71 if ((res = mp_init_set_int(&t, 11L*13L*17L*19L*23L*29L*31L)) != MP_OKAY) { |
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72 return res; |
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73 } |
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74 if ((res = mp_mod(arg, &t, &t)) != MP_OKAY) { |
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75 goto LBL_ERR; |
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76 } |
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77 r = mp_get_int(&t); |
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78 /* Check for other prime modules, note it's not an ERROR but we must |
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79 * free "t" so the easiest way is to goto LBL_ERR. We know that res |
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80 * is already equal to MP_OKAY from the mp_mod call |
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81 */ |
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82 if (((1uL<<(r%11uL)) & 0x5C4uL) != 0uL) goto LBL_ERR; |
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83 if (((1uL<<(r%13uL)) & 0x9E4uL) != 0uL) goto LBL_ERR; |
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84 if (((1uL<<(r%17uL)) & 0x5CE8uL) != 0uL) goto LBL_ERR; |
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85 if (((1uL<<(r%19uL)) & 0x4F50CuL) != 0uL) goto LBL_ERR; |
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86 if (((1uL<<(r%23uL)) & 0x7ACCA0uL) != 0uL) goto LBL_ERR; |
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87 if (((1uL<<(r%29uL)) & 0xC2EDD0CuL) != 0uL) goto LBL_ERR; |
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88 if (((1uL<<(r%31uL)) & 0x6DE2B848uL) != 0uL) goto LBL_ERR; |
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89 |
1655
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90 /* Final check - is sqr(sqrt(arg)) == arg ? */ |
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91 if ((res = mp_sqrt(arg, &t)) != MP_OKAY) { |
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92 goto LBL_ERR; |
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parents:
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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:
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96 } |
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97 |
1655
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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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100 mp_clear(&t); |
f52919ffd3b1
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101 return res; |
284
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parents:
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102 } |
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103 #endif |
389
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104 |
1655
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105 /* ref: HEAD -> master, tag: v1.1.0 */ |
f52919ffd3b1
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106 /* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ |
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107 /* commit time: 2019-01-28 20:32:32 +0100 */ |