1 | /* mpz_congruent_ui_p -- test congruence of mpz and ulong. |
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2 | |
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3 | Copyright 2000, 2001, 2002 Free Software Foundation, Inc. |
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4 | |
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5 | This file is part of the GNU MP Library. |
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6 | |
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7 | The GNU MP Library is free software; you can redistribute it and/or modify |
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8 | it under the terms of the GNU Lesser General Public License as published by |
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9 | the Free Software Foundation; either version 2.1 of the License, or (at your |
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10 | option) any later version. |
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11 | |
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12 | The GNU MP Library is distributed in the hope that it will be useful, but |
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13 | WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY |
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14 | or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public |
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15 | License for more details. |
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16 | |
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17 | You should have received a copy of the GNU Lesser General Public License |
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18 | along with the GNU MP Library; see the file COPYING.LIB. If not, write to |
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19 | the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, |
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20 | MA 02111-1307, USA. */ |
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21 | |
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22 | #include "gmp.h" |
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23 | #include "gmp-impl.h" |
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24 | #include "longlong.h" |
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25 | |
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26 | |
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27 | /* There's some explicit checks for c<d since it seems reasonably likely an |
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28 | application might use that in a test. |
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29 | |
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30 | Hopefully the compiler can generate something good for r==(c%d), though |
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31 | if modexact is being used exclusively then that's not reached. */ |
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32 | |
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33 | int |
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34 | mpz_congruent_ui_p (mpz_srcptr a, unsigned long cu, unsigned long du) |
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35 | { |
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36 | mp_srcptr ap; |
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37 | mp_size_t asize; |
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38 | mp_limb_t c, d, r; |
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39 | |
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40 | if (du == 0) |
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41 | DIVIDE_BY_ZERO; |
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42 | |
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43 | asize = SIZ(a); |
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44 | if (asize == 0) |
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45 | { |
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46 | if (cu < du) |
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47 | return cu == 0; |
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48 | else |
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49 | return (cu % du) == 0; |
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50 | } |
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51 | |
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52 | /* For nails don't try to be clever if c or d is bigger than a limb, just |
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53 | fake up some mpz_t's and go to the main mpz_congruent_p. */ |
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54 | if (du > GMP_NUMB_MAX || cu > GMP_NUMB_MAX) |
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55 | { |
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56 | mp_limb_t climbs[2], dlimbs[2]; |
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57 | mpz_t cz, dz; |
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58 | |
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59 | ALLOC(cz) = 2; |
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60 | PTR(cz) = climbs; |
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61 | ALLOC(dz) = 2; |
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62 | PTR(dz) = dlimbs; |
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63 | |
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64 | mpz_set_ui (cz, cu); |
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65 | mpz_set_ui (dz, du); |
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66 | return mpz_congruent_p (a, cz, dz); |
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67 | } |
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68 | |
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69 | /* NEG_MOD works on limbs, so convert ulong to limb */ |
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70 | c = cu; |
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71 | d = du; |
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72 | |
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73 | if (asize < 0) |
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74 | { |
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75 | asize = -asize; |
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76 | NEG_MOD (c, c, d); |
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77 | } |
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78 | |
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79 | ap = PTR (a); |
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80 | |
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81 | if (BELOW_THRESHOLD (asize, MODEXACT_1_ODD_THRESHOLD)) |
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82 | { |
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83 | r = mpn_mod_1 (ap, asize, d); |
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84 | if (c < d) |
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85 | return r == c; |
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86 | else |
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87 | return r == (c % d); |
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88 | } |
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89 | |
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90 | if ((d & 1) == 0) |
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91 | { |
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92 | /* Strip low zero bits to get odd d required by modexact. If |
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93 | d==e*2^n then a==c mod d if and only if both a==c mod 2^n |
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94 | and a==c mod e. */ |
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95 | |
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96 | unsigned twos; |
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97 | |
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98 | if ((ap[0]-c) & LOW_ZEROS_MASK (d)) |
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99 | return 0; |
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100 | |
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101 | count_trailing_zeros (twos, d); |
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102 | d >>= twos; |
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103 | } |
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104 | |
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105 | r = mpn_modexact_1c_odd (ap, asize, d, c); |
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106 | return r == 0 || r == d; |
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107 | } |
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