Mercurial > dropbear
annotate libtommath/bn_mp_is_square.c @ 1719:25b0ce1936c4
changelog for 2020.79
author | Matt Johnston <matt@ucc.asn.au> |
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date | Mon, 15 Jun 2020 23:36:14 +0800 |
parents | 1051e4eea25a |
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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 /* SPDX-License-Identifier: Unlicense */ |
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5 |
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6 /* Check if remainders are possible squares - fast exclude non-squares */ |
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7 static const char rem_128[128] = { |
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8 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, |
f52919ffd3b1
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Steffen Jaeckel <s_jaeckel@gmx.de>
parents:
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9 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, |
f52919ffd3b1
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parents:
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10 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, |
f52919ffd3b1
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parents:
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11 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, |
f52919ffd3b1
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parents:
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12 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, |
f52919ffd3b1
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parents:
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13 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, |
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14 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, |
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15 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1 |
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16 }; |
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17 |
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18 static const char rem_105[105] = { |
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19 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, |
f52919ffd3b1
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parents:
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20 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, |
f52919ffd3b1
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parents:
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21 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, |
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parents:
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22 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, |
f52919ffd3b1
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parents:
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23 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, |
f52919ffd3b1
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parents:
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24 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, |
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25 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1 |
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26 }; |
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27 |
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28 /* Store non-zero to ret if arg is square, and zero if not */ |
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29 mp_err mp_is_square(const mp_int *arg, mp_bool *ret) |
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30 { |
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31 mp_err err; |
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32 mp_digit c; |
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33 mp_int t; |
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34 unsigned long r; |
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35 |
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36 /* Default to Non-square :) */ |
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37 *ret = MP_NO; |
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38 |
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39 if (arg->sign == MP_NEG) { |
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40 return MP_VAL; |
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41 } |
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42 |
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43 if (MP_IS_ZERO(arg)) { |
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44 return MP_OKAY; |
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45 } |
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46 |
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47 /* First check mod 128 (suppose that MP_DIGIT_BIT is at least 7) */ |
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48 if (rem_128[127u & arg->dp[0]] == (char)1) { |
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49 return MP_OKAY; |
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50 } |
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51 |
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52 /* Next check mod 105 (3*5*7) */ |
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53 if ((err = mp_mod_d(arg, 105uL, &c)) != MP_OKAY) { |
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54 return err; |
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55 } |
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56 if (rem_105[c] == (char)1) { |
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57 return MP_OKAY; |
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58 } |
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59 |
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60 |
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61 if ((err = mp_init_u32(&t, 11u*13u*17u*19u*23u*29u*31u)) != MP_OKAY) { |
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62 return err; |
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63 } |
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64 if ((err = mp_mod(arg, &t, &t)) != MP_OKAY) { |
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65 goto LBL_ERR; |
f52919ffd3b1
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66 } |
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67 r = mp_get_u32(&t); |
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68 /* Check for other prime modules, note it's not an ERROR but we must |
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69 * free "t" so the easiest way is to goto LBL_ERR. We know that err |
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70 * is already equal to MP_OKAY from the mp_mod call |
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71 */ |
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72 if (((1uL<<(r%11uL)) & 0x5C4uL) != 0uL) goto LBL_ERR; |
f52919ffd3b1
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73 if (((1uL<<(r%13uL)) & 0x9E4uL) != 0uL) goto LBL_ERR; |
f52919ffd3b1
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74 if (((1uL<<(r%17uL)) & 0x5CE8uL) != 0uL) goto LBL_ERR; |
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75 if (((1uL<<(r%19uL)) & 0x4F50CuL) != 0uL) goto LBL_ERR; |
f52919ffd3b1
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76 if (((1uL<<(r%23uL)) & 0x7ACCA0uL) != 0uL) goto LBL_ERR; |
f52919ffd3b1
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77 if (((1uL<<(r%29uL)) & 0xC2EDD0CuL) != 0uL) goto LBL_ERR; |
f52919ffd3b1
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78 if (((1uL<<(r%31uL)) & 0x6DE2B848uL) != 0uL) goto LBL_ERR; |
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79 |
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80 /* Final check - is sqr(sqrt(arg)) == arg ? */ |
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81 if ((err = mp_sqrt(arg, &t)) != MP_OKAY) { |
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82 goto LBL_ERR; |
f52919ffd3b1
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83 } |
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84 if ((err = mp_sqr(&t, &t)) != MP_OKAY) { |
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85 goto LBL_ERR; |
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86 } |
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87 |
1655
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88 *ret = (mp_cmp_mag(&t, arg) == MP_EQ) ? MP_YES : MP_NO; |
f52919ffd3b1
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Steffen Jaeckel <s_jaeckel@gmx.de>
parents:
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89 LBL_ERR: |
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parents:
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90 mp_clear(&t); |
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Update LibTomMath to 1.2.0 (#84)
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91 return err; |
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92 } |
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93 #endif |