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#include "EXTERN.h" |
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#include "perl.h" |
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#include "XSUB.h" |
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#include "gmp.h" |
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5
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6
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/* |
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Math::GMP, a Perl module for high-speed arbitrary size integer |
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calculations |
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Copyright (C) 2000 James H. Turner |
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This library is free software; you can redistribute it and/or |
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modify it under the terms of the GNU Library General Public |
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License as published by the Free Software Foundation; either |
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version 2 of the License, or (at your option) any later version. |
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This library is distributed in the hope that it will be useful, |
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but WITHOUT ANY WARRANTY; without even the implied warranty of |
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
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Library General Public License for more details. |
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21
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You should have received a copy of the GNU Library General Public |
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License along with this library; if not, write to the Free |
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Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA |
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25
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You can contact the author at chip@redhat.com, chipt@cpan.org, or by mail: |
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27
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Chip Turner |
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Red Hat Inc. |
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2600 Meridian Park Blvd |
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Durham, NC 27713 |
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31
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*/ |
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32
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33
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#define SWAP_GMP if (swap) { mpz_t* t = m; m = n; n = t; } |
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34
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35
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/* |
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36
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* mpz_rootrem() has bug with negative first argument before 5.1.0 |
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37
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*/ |
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38
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6
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static int need_rootrem_workaround(mpz_t* m, unsigned long n) { |
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39
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/* workaround only valid for n odd (n even should be an error) */ |
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40
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6
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100
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if ((n & 1) == 0) |
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41
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2
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return 0; |
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42
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43
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/* workaround only relevant for m negative */ |
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44
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4
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100
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if (mpz_sgn(*m) >= 0) |
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45
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2
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return 0; |
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46
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47
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/* workaround only needed for gmp_version < 5.1.0 */ |
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48
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2
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50
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if ((gmp_version[0] && gmp_version[1] != '.') /* >= 10.0.0 */ |
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50
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49
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2
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50
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|| (gmp_version[0] > '5') /* >= 6.0.0 */ |
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50
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0
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0
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|| (gmp_version[0] == '5' && gmp_version[2] != '0') /* >= 5.1.0 */ |
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0
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51
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) |
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52
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2
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return 0; |
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53
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54
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0
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return 1; |
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55
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} |
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56
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57
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static int |
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58
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0
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not_here(char *s) |
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59
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{ |
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60
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0
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croak("%s not implemented on this architecture", s); |
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61
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return -1; |
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62
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} |
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63
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64
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#if 0 |
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65
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static double |
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66
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constant(char *name, int arg) |
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67
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{ |
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68
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errno = 0; |
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69
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switch (*name) { |
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70
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} |
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71
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errno = EINVAL; |
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72
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return 0; |
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73
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74
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not_there: |
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75
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errno = ENOENT; |
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76
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return 0; |
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77
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} |
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78
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#endif |
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79
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80
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mpz_t * |
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81
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298
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pv2gmp(char* pv) |
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82
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{ |
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83
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mpz_t* z; |
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84
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SV* sv; |
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85
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86
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298
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z = malloc (sizeof(mpz_t)); |
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87
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298
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mpz_init_set_str(*z, pv, 0); |
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88
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298
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sv = sv_newmortal(); |
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89
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298
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sv_setref_pv(sv, "Math::GMP", (void*)z); |
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90
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298
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return z; |
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91
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} |
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92
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93
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mpz_t * |
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94
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5684
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sv2gmp(SV* sv) |
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95
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{ |
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96
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char* pv; |
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97
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98
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/* MAYCHANGE in perlguts.pod - bug in perl */ |
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99
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5684
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50
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if (SvGMAGICAL(sv)) mg_get(sv); |
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100
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101
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5684
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100
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if (SvROK(sv) && sv_derived_from(sv, "Math::GMP")) { |
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50
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102
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5386
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50
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IV tmp = SvIV((SV*)SvRV(sv)); |
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103
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5386
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return (mpz_t *)tmp; |
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104
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} |
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105
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106
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298
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100
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pv = SvPV_nolen(sv); |
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107
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298
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return pv2gmp(pv); |
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108
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} |
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109
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110
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111
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MODULE = Math::GMP PACKAGE = Math::GMP |
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112
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PROTOTYPES: ENABLE |
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113
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114
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mpz_t * |
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115
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new_from_scalar(s) |
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116
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char * s |
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117
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118
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CODE: |
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119
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1628
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RETVAL = malloc (sizeof(mpz_t)); |
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120
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1628
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mpz_init_set_str(*RETVAL, s, 0); |
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121
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OUTPUT: |
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122
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RETVAL |
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123
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124
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mpz_t * |
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125
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new_from_scalar_with_base(s, b) |
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126
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char * s |
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127
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int b |
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128
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129
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CODE: |
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130
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2
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RETVAL = malloc (sizeof(mpz_t)); |
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131
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2
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mpz_init_set_str(*RETVAL, s, b); |
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132
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OUTPUT: |
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133
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RETVAL |
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134
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135
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void |
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136
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destroy(n) |
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137
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mpz_t *n |
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138
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139
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CODE: |
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140
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2860
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mpz_clear(*n); |
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141
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2860
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free(n); |
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142
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143
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SV * |
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144
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_gmp_build_version() |
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145
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CODE: |
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146
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0
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char buf[] = STRINGIFY(__GNU_MP_VERSION) |
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147
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"." STRINGIFY(__GNU_MP_VERSION_MINOR) |
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148
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"." STRINGIFY(__GNU_MP_VERSION_PATCHLEVEL); |
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149
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0
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RETVAL = newSV(6); |
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150
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0
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scan_vstring(buf, buf + sizeof(buf), RETVAL); |
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151
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OUTPUT: |
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152
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RETVAL |
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153
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154
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SV * |
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155
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_gmp_lib_version() |
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156
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CODE: |
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157
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0
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const char* v = gmp_version; |
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158
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0
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RETVAL = newSV(6); |
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159
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0
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scan_vstring(v, v + strlen(v), RETVAL); |
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160
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OUTPUT: |
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161
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RETVAL |
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162
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163
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SV * |
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164
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stringify(n) |
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165
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mpz_t * n |
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166
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167
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PREINIT: |
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168
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int len; |
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169
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170
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CODE: |
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171
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841
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len = mpz_sizeinbase(*n, 10); |
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172
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{ |
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173
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char *buf; |
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174
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841
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buf = malloc(len + 2); |
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175
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841
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mpz_get_str(buf, 10, *n); |
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176
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841
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RETVAL = newSVpv(buf, strlen(buf)); |
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177
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841
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free(buf); |
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178
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} |
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179
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OUTPUT: |
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180
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RETVAL |
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181
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182
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183
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SV * |
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184
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get_str_gmp(n, b) |
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185
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mpz_t * n |
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186
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int b |
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187
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188
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PREINIT: |
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189
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int len; |
|
190
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191
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CODE: |
|
192
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1
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len = mpz_sizeinbase(*n, b); |
|
193
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{ |
|
194
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char *buf; |
|
195
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1
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buf = malloc(len + 2); |
|
196
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1
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mpz_get_str(buf, b, *n); |
|
197
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1
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RETVAL = newSVpv(buf, strlen(buf)); |
|
198
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1
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free(buf); |
|
199
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} |
|
200
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OUTPUT: |
|
201
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RETVAL |
|
202
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203
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int |
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204
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sizeinbase_gmp(n, b) |
|
205
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mpz_t * n |
|
206
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int b |
|
207
|
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|
208
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CODE: |
|
209
|
7
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|
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|
RETVAL = mpz_sizeinbase(*n, b); |
|
210
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|
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OUTPUT: |
|
211
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|
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RETVAL |
|
212
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|
213
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unsigned long |
|
214
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|
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|
uintify(n) |
|
215
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|
mpz_t * n |
|
216
|
|
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|
|
217
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|
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CODE: |
|
218
|
59
|
|
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|
|
RETVAL = mpz_get_ui(*n); |
|
219
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|
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OUTPUT: |
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220
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RETVAL |
|
221
|
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|
222
|
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|
void |
|
223
|
|
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|
add_ui_gmp(n, v) |
|
224
|
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|
mpz_t * n |
|
225
|
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|
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|
unsigned long v |
|
226
|
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|
227
|
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|
|
CODE: |
|
228
|
7
|
|
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|
|
|
mpz_add_ui(*n, *n, v); |
|
229
|
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|
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|
230
|
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|
231
|
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|
long |
|
232
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intify(n) |
|
233
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|
mpz_t * n |
|
234
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|
235
|
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|
|
CODE: |
|
236
|
5
|
|
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|
RETVAL = mpz_get_si(*n); |
|
237
|
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|
OUTPUT: |
|
238
|
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|
RETVAL |
|
239
|
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|
240
|
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|
mpz_t * |
|
241
|
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|
mul_2exp_gmp(n, e) |
|
242
|
|
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|
mpz_t * n |
|
243
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|
unsigned long e |
|
244
|
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|
245
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|
|
CODE: |
|
246
|
9
|
|
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|
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|
RETVAL = malloc (sizeof(mpz_t)); |
|
247
|
9
|
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|
|
mpz_init(*RETVAL); |
|
248
|
9
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|
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|
|
mpz_mul_2exp(*RETVAL, *n, e); |
|
249
|
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|
OUTPUT: |
|
250
|
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|
RETVAL |
|
251
|
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|
252
|
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|
|
mpz_t * |
|
253
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|
|
div_2exp_gmp(n, e) |
|
254
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|
|
mpz_t * n |
|
255
|
|
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|
|
unsigned long e |
|
256
|
|
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|
257
|
|
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|
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|
|
CODE: |
|
258
|
5
|
|
|
|
|
|
RETVAL = malloc (sizeof(mpz_t)); |
|
259
|
5
|
|
|
|
|
|
mpz_init(*RETVAL); |
|
260
|
5
|
|
|
|
|
|
mpz_div_2exp(*RETVAL, *n, e); |
|
261
|
|
|
|
|
|
|
OUTPUT: |
|
262
|
|
|
|
|
|
|
RETVAL |
|
263
|
|
|
|
|
|
|
|
|
264
|
|
|
|
|
|
|
|
|
265
|
|
|
|
|
|
|
mpz_t * |
|
266
|
|
|
|
|
|
|
powm_gmp(n, exp, mod) |
|
267
|
|
|
|
|
|
|
mpz_t * n |
|
268
|
|
|
|
|
|
|
mpz_t * exp |
|
269
|
|
|
|
|
|
|
mpz_t * mod |
|
270
|
|
|
|
|
|
|
|
|
271
|
|
|
|
|
|
|
CODE: |
|
272
|
7
|
|
|
|
|
|
RETVAL = malloc (sizeof(mpz_t)); |
|
273
|
7
|
|
|
|
|
|
mpz_init(*RETVAL); |
|
274
|
7
|
|
|
|
|
|
mpz_powm(*RETVAL, *n, *exp, *mod); |
|
275
|
|
|
|
|
|
|
OUTPUT: |
|
276
|
|
|
|
|
|
|
RETVAL |
|
277
|
|
|
|
|
|
|
|
|
278
|
|
|
|
|
|
|
|
|
279
|
|
|
|
|
|
|
mpz_t * |
|
280
|
|
|
|
|
|
|
mmod_gmp(a, b) |
|
281
|
|
|
|
|
|
|
mpz_t * a |
|
282
|
|
|
|
|
|
|
mpz_t * b |
|
283
|
|
|
|
|
|
|
|
|
284
|
|
|
|
|
|
|
CODE: |
|
285
|
5
|
|
|
|
|
|
RETVAL = malloc (sizeof(mpz_t)); |
|
286
|
5
|
|
|
|
|
|
mpz_init(*RETVAL); |
|
287
|
5
|
|
|
|
|
|
mpz_mmod(*RETVAL, *a, *b); |
|
288
|
|
|
|
|
|
|
OUTPUT: |
|
289
|
|
|
|
|
|
|
RETVAL |
|
290
|
|
|
|
|
|
|
|
|
291
|
|
|
|
|
|
|
|
|
292
|
|
|
|
|
|
|
mpz_t * |
|
293
|
|
|
|
|
|
|
mod_2exp_gmp(in, cnt) |
|
294
|
|
|
|
|
|
|
mpz_t * in |
|
295
|
|
|
|
|
|
|
unsigned long cnt |
|
296
|
|
|
|
|
|
|
|
|
297
|
|
|
|
|
|
|
CODE: |
|
298
|
5
|
|
|
|
|
|
RETVAL = malloc (sizeof(mpz_t)); |
|
299
|
5
|
|
|
|
|
|
mpz_init(*RETVAL); |
|
300
|
5
|
|
|
|
|
|
mpz_mod_2exp(*RETVAL, *in, cnt); |
|
301
|
|
|
|
|
|
|
OUTPUT: |
|
302
|
|
|
|
|
|
|
RETVAL |
|
303
|
|
|
|
|
|
|
|
|
304
|
|
|
|
|
|
|
|
|
305
|
|
|
|
|
|
|
mpz_t * |
|
306
|
|
|
|
|
|
|
op_add(m,n,swap) |
|
307
|
|
|
|
|
|
|
mpz_t * m |
|
308
|
|
|
|
|
|
|
mpz_t * n |
|
309
|
|
|
|
|
|
|
bool swap |
|
310
|
|
|
|
|
|
|
|
|
311
|
|
|
|
|
|
|
CODE: |
|
312
|
73
|
|
|
|
|
|
RETVAL = malloc (sizeof(mpz_t)); |
|
313
|
73
|
|
|
|
|
|
mpz_init(*RETVAL); |
|
314
|
73
|
|
|
|
|
|
mpz_add(*RETVAL, *m, *n); |
|
315
|
|
|
|
|
|
|
OUTPUT: |
|
316
|
|
|
|
|
|
|
RETVAL |
|
317
|
|
|
|
|
|
|
|
|
318
|
|
|
|
|
|
|
|
|
319
|
|
|
|
|
|
|
mpz_t * |
|
320
|
|
|
|
|
|
|
op_sub(m,n,swap) |
|
321
|
|
|
|
|
|
|
mpz_t * m |
|
322
|
|
|
|
|
|
|
mpz_t * n |
|
323
|
|
|
|
|
|
|
bool swap |
|
324
|
|
|
|
|
|
|
|
|
325
|
|
|
|
|
|
|
CODE: |
|
326
|
72
|
100
|
|
|
|
|
SWAP_GMP |
|
327
|
72
|
|
|
|
|
|
RETVAL = malloc (sizeof(mpz_t)); |
|
328
|
72
|
|
|
|
|
|
mpz_init(*RETVAL); |
|
329
|
72
|
|
|
|
|
|
mpz_sub(*RETVAL, *m, *n); |
|
330
|
|
|
|
|
|
|
OUTPUT: |
|
331
|
|
|
|
|
|
|
RETVAL |
|
332
|
|
|
|
|
|
|
|
|
333
|
|
|
|
|
|
|
|
|
334
|
|
|
|
|
|
|
mpz_t * |
|
335
|
|
|
|
|
|
|
op_mul(m,n,swap) |
|
336
|
|
|
|
|
|
|
mpz_t * m |
|
337
|
|
|
|
|
|
|
mpz_t * n |
|
338
|
|
|
|
|
|
|
bool swap |
|
339
|
|
|
|
|
|
|
|
|
340
|
|
|
|
|
|
|
CODE: |
|
341
|
63
|
|
|
|
|
|
RETVAL = malloc (sizeof(mpz_t)); |
|
342
|
63
|
|
|
|
|
|
mpz_init(*RETVAL); |
|
343
|
63
|
|
|
|
|
|
mpz_mul(*RETVAL, *m, *n); |
|
344
|
|
|
|
|
|
|
OUTPUT: |
|
345
|
|
|
|
|
|
|
RETVAL |
|
346
|
|
|
|
|
|
|
|
|
347
|
|
|
|
|
|
|
|
|
348
|
|
|
|
|
|
|
mpz_t * |
|
349
|
|
|
|
|
|
|
bmulf(n,d) |
|
350
|
|
|
|
|
|
|
mpz_t * n |
|
351
|
|
|
|
|
|
|
double d |
|
352
|
|
|
|
|
|
|
|
|
353
|
|
|
|
|
|
|
PREINIT: |
|
354
|
|
|
|
|
|
|
mpf_t nf, df; |
|
355
|
|
|
|
|
|
|
mp_bitcnt_t prec; |
|
356
|
|
|
|
|
|
|
CODE: |
|
357
|
|
|
|
|
|
|
/* |
|
358
|
|
|
|
|
|
|
Multiply (mpz_t) n by (double) d returning an (mpz_t) result. |
|
359
|
|
|
|
|
|
|
Uses GMP floats with maximum needed precision. |
|
360
|
|
|
|
|
|
|
*/ |
|
361
|
46
|
|
|
|
|
|
prec = mpf_get_default_prec(); |
|
362
|
46
|
|
|
|
|
|
mpf_set_default_prec(mpz_sizeinbase(*n, 2) + 8 * sizeof(double)); |
|
363
|
|
|
|
|
|
|
|
|
364
|
46
|
|
|
|
|
|
RETVAL = malloc (sizeof(mpz_t)); |
|
365
|
46
|
|
|
|
|
|
mpz_init(*RETVAL); |
|
366
|
46
|
|
|
|
|
|
mpf_init(nf); |
|
367
|
46
|
|
|
|
|
|
mpf_init(df); |
|
368
|
|
|
|
|
|
|
|
|
369
|
46
|
|
|
|
|
|
mpf_set_z(nf, *n); |
|
370
|
46
|
|
|
|
|
|
mpf_set_d(df, d); |
|
371
|
46
|
|
|
|
|
|
mpf_mul(nf, nf, df); |
|
372
|
46
|
|
|
|
|
|
mpz_set_f(*RETVAL, nf); |
|
373
|
46
|
|
|
|
|
|
mpf_clear(nf); |
|
374
|
46
|
|
|
|
|
|
mpf_clear(df); |
|
375
|
|
|
|
|
|
|
/* restore default */ |
|
376
|
46
|
|
|
|
|
|
mpf_set_default_prec(prec); |
|
377
|
|
|
|
|
|
|
OUTPUT: |
|
378
|
|
|
|
|
|
|
RETVAL |
|
379
|
|
|
|
|
|
|
|
|
380
|
|
|
|
|
|
|
|
|
381
|
|
|
|
|
|
|
mpz_t * |
|
382
|
|
|
|
|
|
|
op_div(m,n,swap) |
|
383
|
|
|
|
|
|
|
mpz_t * m |
|
384
|
|
|
|
|
|
|
mpz_t * n |
|
385
|
|
|
|
|
|
|
bool swap |
|
386
|
|
|
|
|
|
|
|
|
387
|
|
|
|
|
|
|
CODE: |
|
388
|
64
|
100
|
|
|
|
|
SWAP_GMP |
|
389
|
64
|
|
|
|
|
|
RETVAL = malloc (sizeof(mpz_t)); |
|
390
|
64
|
|
|
|
|
|
mpz_init(*RETVAL); |
|
391
|
64
|
|
|
|
|
|
mpz_div(*RETVAL, *m, *n); |
|
392
|
|
|
|
|
|
|
OUTPUT: |
|
393
|
|
|
|
|
|
|
RETVAL |
|
394
|
|
|
|
|
|
|
|
|
395
|
|
|
|
|
|
|
|
|
396
|
|
|
|
|
|
|
void |
|
397
|
|
|
|
|
|
|
bdiv(m,n) |
|
398
|
|
|
|
|
|
|
mpz_t * m |
|
399
|
|
|
|
|
|
|
mpz_t * n |
|
400
|
|
|
|
|
|
|
|
|
401
|
|
|
|
|
|
|
PREINIT: |
|
402
|
|
|
|
|
|
|
mpz_t * quo; |
|
403
|
|
|
|
|
|
|
mpz_t * rem; |
|
404
|
|
|
|
|
|
|
PPCODE: |
|
405
|
129
|
|
|
|
|
|
quo = malloc (sizeof(mpz_t)); |
|
406
|
129
|
|
|
|
|
|
rem = malloc (sizeof(mpz_t)); |
|
407
|
129
|
|
|
|
|
|
mpz_init(*quo); |
|
408
|
129
|
|
|
|
|
|
mpz_init(*rem); |
|
409
|
129
|
|
|
|
|
|
mpz_tdiv_qr(*quo, *rem, *m, *n); |
|
410
|
129
|
50
|
|
|
|
|
EXTEND(SP, 2); |
|
411
|
129
|
|
|
|
|
|
PUSHs(sv_setref_pv(sv_newmortal(), "Math::GMP", (void*)quo)); |
|
412
|
129
|
|
|
|
|
|
PUSHs(sv_setref_pv(sv_newmortal(), "Math::GMP", (void*)rem)); |
|
413
|
|
|
|
|
|
|
|
|
414
|
|
|
|
|
|
|
|
|
415
|
|
|
|
|
|
|
|
|
416
|
|
|
|
|
|
|
mpz_t * |
|
417
|
|
|
|
|
|
|
op_mod(m,n,swap) |
|
418
|
|
|
|
|
|
|
mpz_t * m |
|
419
|
|
|
|
|
|
|
mpz_t * n |
|
420
|
|
|
|
|
|
|
bool swap |
|
421
|
|
|
|
|
|
|
|
|
422
|
|
|
|
|
|
|
CODE: |
|
423
|
65
|
100
|
|
|
|
|
SWAP_GMP |
|
424
|
65
|
|
|
|
|
|
RETVAL = malloc (sizeof(mpz_t)); |
|
425
|
65
|
|
|
|
|
|
mpz_init(*RETVAL); |
|
426
|
65
|
|
|
|
|
|
mpz_mod(*RETVAL, *m, *n); |
|
427
|
|
|
|
|
|
|
OUTPUT: |
|
428
|
|
|
|
|
|
|
RETVAL |
|
429
|
|
|
|
|
|
|
|
|
430
|
|
|
|
|
|
|
mpz_t * |
|
431
|
|
|
|
|
|
|
bmodinv(m,n) |
|
432
|
|
|
|
|
|
|
mpz_t * m |
|
433
|
|
|
|
|
|
|
mpz_t * n |
|
434
|
|
|
|
|
|
|
|
|
435
|
|
|
|
|
|
|
CODE: |
|
436
|
11
|
|
|
|
|
|
RETVAL = malloc (sizeof(mpz_t)); |
|
437
|
11
|
|
|
|
|
|
mpz_init(*RETVAL); |
|
438
|
11
|
|
|
|
|
|
mpz_invert(*RETVAL, *m, *n); |
|
439
|
|
|
|
|
|
|
OUTPUT: |
|
440
|
|
|
|
|
|
|
RETVAL |
|
441
|
|
|
|
|
|
|
|
|
442
|
|
|
|
|
|
|
|
|
443
|
|
|
|
|
|
|
int |
|
444
|
|
|
|
|
|
|
op_spaceship(m,n,swap) |
|
445
|
|
|
|
|
|
|
mpz_t * m |
|
446
|
|
|
|
|
|
|
mpz_t * n |
|
447
|
|
|
|
|
|
|
bool swap |
|
448
|
|
|
|
|
|
|
|
|
449
|
|
|
|
|
|
|
PREINIT: |
|
450
|
|
|
|
|
|
|
int i; |
|
451
|
|
|
|
|
|
|
CODE: |
|
452
|
101
|
|
|
|
|
|
i = mpz_cmp(*m, *n); |
|
453
|
101
|
100
|
|
|
|
|
if (swap) { |
|
454
|
4
|
|
|
|
|
|
i = -i; |
|
455
|
|
|
|
|
|
|
} |
|
456
|
101
|
100
|
|
|
|
|
RETVAL = (i < 0) ? -1 : (i > 0) ? 1 : 0; |
|
457
|
|
|
|
|
|
|
OUTPUT: |
|
458
|
|
|
|
|
|
|
RETVAL |
|
459
|
|
|
|
|
|
|
|
|
460
|
|
|
|
|
|
|
int |
|
461
|
|
|
|
|
|
|
op_eq(m,n,swap) |
|
462
|
|
|
|
|
|
|
mpz_t* m |
|
463
|
|
|
|
|
|
|
mpz_t* n |
|
464
|
|
|
|
|
|
|
bool swap |
|
465
|
|
|
|
|
|
|
|
|
466
|
|
|
|
|
|
|
PREINIT: |
|
467
|
|
|
|
|
|
|
int i; |
|
468
|
|
|
|
|
|
|
CODE: |
|
469
|
0
|
|
|
|
|
|
i = mpz_cmp(*m, *n); |
|
470
|
0
|
|
|
|
|
|
RETVAL = (i == 0) ? 1 : 0; |
|
471
|
|
|
|
|
|
|
OUTPUT: |
|
472
|
|
|
|
|
|
|
RETVAL |
|
473
|
|
|
|
|
|
|
|
|
474
|
|
|
|
|
|
|
int |
|
475
|
|
|
|
|
|
|
legendre(m, n) |
|
476
|
|
|
|
|
|
|
mpz_t * m |
|
477
|
|
|
|
|
|
|
mpz_t * n |
|
478
|
|
|
|
|
|
|
|
|
479
|
|
|
|
|
|
|
CODE: |
|
480
|
1
|
|
|
|
|
|
RETVAL = mpz_legendre(*m, *n); |
|
481
|
|
|
|
|
|
|
OUTPUT: |
|
482
|
|
|
|
|
|
|
RETVAL |
|
483
|
|
|
|
|
|
|
|
|
484
|
|
|
|
|
|
|
int |
|
485
|
|
|
|
|
|
|
jacobi(m, n) |
|
486
|
|
|
|
|
|
|
mpz_t * m |
|
487
|
|
|
|
|
|
|
mpz_t * n |
|
488
|
|
|
|
|
|
|
|
|
489
|
|
|
|
|
|
|
CODE: |
|
490
|
119
|
|
|
|
|
|
RETVAL = mpz_jacobi(*m, *n); |
|
491
|
|
|
|
|
|
|
OUTPUT: |
|
492
|
|
|
|
|
|
|
RETVAL |
|
493
|
|
|
|
|
|
|
|
|
494
|
|
|
|
|
|
|
int |
|
495
|
|
|
|
|
|
|
probab_prime(m, reps) |
|
496
|
|
|
|
|
|
|
mpz_t * m |
|
497
|
|
|
|
|
|
|
int reps |
|
498
|
|
|
|
|
|
|
|
|
499
|
|
|
|
|
|
|
CODE: |
|
500
|
25
|
|
|
|
|
|
RETVAL = mpz_probab_prime_p(*m, reps); |
|
501
|
|
|
|
|
|
|
OUTPUT: |
|
502
|
|
|
|
|
|
|
RETVAL |
|
503
|
|
|
|
|
|
|
|
|
504
|
|
|
|
|
|
|
mpz_t * |
|
505
|
|
|
|
|
|
|
op_pow(m,n) |
|
506
|
|
|
|
|
|
|
mpz_t * m |
|
507
|
|
|
|
|
|
|
long n |
|
508
|
|
|
|
|
|
|
|
|
509
|
|
|
|
|
|
|
CODE: |
|
510
|
2
|
|
|
|
|
|
RETVAL = malloc (sizeof(mpz_t)); |
|
511
|
2
|
|
|
|
|
|
mpz_init(*RETVAL); |
|
512
|
|
|
|
|
|
|
/* fprintf(stderr, "n is %ld\n", n);*/ |
|
513
|
2
|
|
|
|
|
|
mpz_pow_ui(*RETVAL, *m, n); |
|
514
|
|
|
|
|
|
|
OUTPUT: |
|
515
|
|
|
|
|
|
|
RETVAL |
|
516
|
|
|
|
|
|
|
|
|
517
|
|
|
|
|
|
|
|
|
518
|
|
|
|
|
|
|
mpz_t * |
|
519
|
|
|
|
|
|
|
bgcd(m,n) |
|
520
|
|
|
|
|
|
|
mpz_t * m |
|
521
|
|
|
|
|
|
|
mpz_t * n |
|
522
|
|
|
|
|
|
|
|
|
523
|
|
|
|
|
|
|
CODE: |
|
524
|
71
|
|
|
|
|
|
RETVAL = malloc (sizeof(mpz_t)); |
|
525
|
71
|
|
|
|
|
|
mpz_init(*RETVAL); |
|
526
|
71
|
|
|
|
|
|
mpz_gcd(*RETVAL, *m, *n); |
|
527
|
|
|
|
|
|
|
OUTPUT: |
|
528
|
|
|
|
|
|
|
RETVAL |
|
529
|
|
|
|
|
|
|
|
|
530
|
|
|
|
|
|
|
|
|
531
|
|
|
|
|
|
|
mpz_t * |
|
532
|
|
|
|
|
|
|
blcm(m,n) |
|
533
|
|
|
|
|
|
|
mpz_t * m |
|
534
|
|
|
|
|
|
|
mpz_t * n |
|
535
|
|
|
|
|
|
|
|
|
536
|
|
|
|
|
|
|
CODE: |
|
537
|
41
|
|
|
|
|
|
RETVAL = malloc (sizeof(mpz_t)); |
|
538
|
41
|
|
|
|
|
|
mpz_init(*RETVAL); |
|
539
|
41
|
|
|
|
|
|
mpz_lcm(*RETVAL, *m, *n); |
|
540
|
|
|
|
|
|
|
OUTPUT: |
|
541
|
|
|
|
|
|
|
RETVAL |
|
542
|
|
|
|
|
|
|
|
|
543
|
|
|
|
|
|
|
|
|
544
|
|
|
|
|
|
|
mpz_t * |
|
545
|
|
|
|
|
|
|
fibonacci(n) |
|
546
|
|
|
|
|
|
|
long n |
|
547
|
|
|
|
|
|
|
|
|
548
|
|
|
|
|
|
|
CODE: |
|
549
|
19
|
|
|
|
|
|
RETVAL = malloc (sizeof(mpz_t)); |
|
550
|
19
|
|
|
|
|
|
mpz_init(*RETVAL); |
|
551
|
19
|
|
|
|
|
|
mpz_fib_ui(*RETVAL, n); |
|
552
|
|
|
|
|
|
|
OUTPUT: |
|
553
|
|
|
|
|
|
|
RETVAL |
|
554
|
|
|
|
|
|
|
|
|
555
|
|
|
|
|
|
|
|
|
556
|
|
|
|
|
|
|
mpz_t * |
|
557
|
|
|
|
|
|
|
band(m,n, ...) |
|
558
|
|
|
|
|
|
|
mpz_t * m |
|
559
|
|
|
|
|
|
|
mpz_t * n |
|
560
|
|
|
|
|
|
|
|
|
561
|
|
|
|
|
|
|
CODE: |
|
562
|
7
|
|
|
|
|
|
RETVAL = malloc (sizeof(mpz_t)); |
|
563
|
7
|
|
|
|
|
|
mpz_init(*RETVAL); |
|
564
|
7
|
|
|
|
|
|
mpz_and(*RETVAL, *m, *n); |
|
565
|
|
|
|
|
|
|
OUTPUT: |
|
566
|
|
|
|
|
|
|
RETVAL |
|
567
|
|
|
|
|
|
|
|
|
568
|
|
|
|
|
|
|
mpz_t * |
|
569
|
|
|
|
|
|
|
bxor(m,n, ...) |
|
570
|
|
|
|
|
|
|
mpz_t * m |
|
571
|
|
|
|
|
|
|
mpz_t * n |
|
572
|
|
|
|
|
|
|
|
|
573
|
|
|
|
|
|
|
CODE: |
|
574
|
7
|
|
|
|
|
|
RETVAL = malloc (sizeof(mpz_t)); |
|
575
|
7
|
|
|
|
|
|
mpz_init(*RETVAL); |
|
576
|
7
|
|
|
|
|
|
mpz_xor(*RETVAL, *m, *n); |
|
577
|
|
|
|
|
|
|
OUTPUT: |
|
578
|
|
|
|
|
|
|
RETVAL |
|
579
|
|
|
|
|
|
|
|
|
580
|
|
|
|
|
|
|
mpz_t * |
|
581
|
|
|
|
|
|
|
bior(m,n, ...) |
|
582
|
|
|
|
|
|
|
mpz_t * m |
|
583
|
|
|
|
|
|
|
mpz_t * n |
|
584
|
|
|
|
|
|
|
|
|
585
|
|
|
|
|
|
|
CODE: |
|
586
|
7
|
|
|
|
|
|
RETVAL = malloc (sizeof(mpz_t)); |
|
587
|
7
|
|
|
|
|
|
mpz_init(*RETVAL); |
|
588
|
7
|
|
|
|
|
|
mpz_ior(*RETVAL, *m, *n); |
|
589
|
|
|
|
|
|
|
OUTPUT: |
|
590
|
|
|
|
|
|
|
RETVAL |
|
591
|
|
|
|
|
|
|
|
|
592
|
|
|
|
|
|
|
mpz_t * |
|
593
|
|
|
|
|
|
|
blshift(m,n,swap) |
|
594
|
|
|
|
|
|
|
mpz_t * m |
|
595
|
|
|
|
|
|
|
mpz_t * n |
|
596
|
|
|
|
|
|
|
bool swap |
|
597
|
|
|
|
|
|
|
|
|
598
|
|
|
|
|
|
|
CODE: |
|
599
|
9
|
50
|
|
|
|
|
SWAP_GMP |
|
600
|
9
|
|
|
|
|
|
RETVAL = malloc (sizeof(mpz_t)); |
|
601
|
9
|
|
|
|
|
|
mpz_init(*RETVAL); |
|
602
|
9
|
|
|
|
|
|
mpz_mul_2exp(*RETVAL, *m, mpz_get_ui(*n)); |
|
603
|
|
|
|
|
|
|
OUTPUT: |
|
604
|
|
|
|
|
|
|
RETVAL |
|
605
|
|
|
|
|
|
|
|
|
606
|
|
|
|
|
|
|
mpz_t * |
|
607
|
|
|
|
|
|
|
brshift(m,n,swap) |
|
608
|
|
|
|
|
|
|
mpz_t * m |
|
609
|
|
|
|
|
|
|
mpz_t * n |
|
610
|
|
|
|
|
|
|
bool swap |
|
611
|
|
|
|
|
|
|
|
|
612
|
|
|
|
|
|
|
CODE: |
|
613
|
13
|
50
|
|
|
|
|
SWAP_GMP |
|
614
|
13
|
|
|
|
|
|
RETVAL = malloc (sizeof(mpz_t)); |
|
615
|
13
|
|
|
|
|
|
mpz_init(*RETVAL); |
|
616
|
13
|
|
|
|
|
|
mpz_div_2exp(*RETVAL, *m, mpz_get_ui(*n)); |
|
617
|
|
|
|
|
|
|
OUTPUT: |
|
618
|
|
|
|
|
|
|
RETVAL |
|
619
|
|
|
|
|
|
|
|
|
620
|
|
|
|
|
|
|
mpz_t * |
|
621
|
|
|
|
|
|
|
bfac(n) |
|
622
|
|
|
|
|
|
|
long n |
|
623
|
|
|
|
|
|
|
|
|
624
|
|
|
|
|
|
|
CODE: |
|
625
|
14
|
|
|
|
|
|
RETVAL = malloc (sizeof(mpz_t)); |
|
626
|
14
|
|
|
|
|
|
mpz_init(*RETVAL); |
|
627
|
14
|
|
|
|
|
|
mpz_fac_ui(*RETVAL, n); |
|
628
|
|
|
|
|
|
|
OUTPUT: |
|
629
|
|
|
|
|
|
|
RETVAL |
|
630
|
|
|
|
|
|
|
|
|
631
|
|
|
|
|
|
|
|
|
632
|
|
|
|
|
|
|
mpz_t * |
|
633
|
|
|
|
|
|
|
bnok(n, k) |
|
634
|
|
|
|
|
|
|
long n |
|
635
|
|
|
|
|
|
|
long k |
|
636
|
|
|
|
|
|
|
|
|
637
|
|
|
|
|
|
|
CODE: |
|
638
|
2
|
|
|
|
|
|
RETVAL = malloc (sizeof(mpz_t)); |
|
639
|
2
|
|
|
|
|
|
mpz_init(*RETVAL); |
|
640
|
2
|
|
|
|
|
|
mpz_bin_uiui(*RETVAL, n, k); |
|
641
|
|
|
|
|
|
|
OUTPUT: |
|
642
|
|
|
|
|
|
|
RETVAL |
|
643
|
|
|
|
|
|
|
|
|
644
|
|
|
|
|
|
|
|
|
645
|
|
|
|
|
|
|
mpz_t * |
|
646
|
|
|
|
|
|
|
gmp_copy(m) |
|
647
|
|
|
|
|
|
|
mpz_t * m |
|
648
|
|
|
|
|
|
|
|
|
649
|
|
|
|
|
|
|
CODE: |
|
650
|
2
|
|
|
|
|
|
RETVAL = malloc (sizeof(mpz_t)); |
|
651
|
2
|
|
|
|
|
|
mpz_init_set(*RETVAL, *m); |
|
652
|
|
|
|
|
|
|
OUTPUT: |
|
653
|
|
|
|
|
|
|
RETVAL |
|
654
|
|
|
|
|
|
|
|
|
655
|
|
|
|
|
|
|
int |
|
656
|
|
|
|
|
|
|
gmp_tstbit(m,n) |
|
657
|
|
|
|
|
|
|
mpz_t * m |
|
658
|
|
|
|
|
|
|
long n |
|
659
|
|
|
|
|
|
|
|
|
660
|
|
|
|
|
|
|
CODE: |
|
661
|
10
|
|
|
|
|
|
RETVAL = mpz_tstbit(*m,n); |
|
662
|
|
|
|
|
|
|
OUTPUT: |
|
663
|
|
|
|
|
|
|
RETVAL |
|
664
|
|
|
|
|
|
|
|
|
665
|
|
|
|
|
|
|
mpz_t * |
|
666
|
|
|
|
|
|
|
broot(m,n) |
|
667
|
|
|
|
|
|
|
mpz_t * m |
|
668
|
|
|
|
|
|
|
unsigned long n |
|
669
|
|
|
|
|
|
|
|
|
670
|
|
|
|
|
|
|
CODE: |
|
671
|
10
|
|
|
|
|
|
RETVAL = malloc (sizeof(mpz_t)); |
|
672
|
10
|
|
|
|
|
|
mpz_init(*RETVAL); |
|
673
|
10
|
|
|
|
|
|
mpz_root(*RETVAL, *m, n); |
|
674
|
|
|
|
|
|
|
OUTPUT: |
|
675
|
|
|
|
|
|
|
RETVAL |
|
676
|
|
|
|
|
|
|
|
|
677
|
|
|
|
|
|
|
void |
|
678
|
|
|
|
|
|
|
brootrem(m,n) |
|
679
|
|
|
|
|
|
|
mpz_t * m |
|
680
|
|
|
|
|
|
|
unsigned long n |
|
681
|
|
|
|
|
|
|
|
|
682
|
|
|
|
|
|
|
PREINIT: |
|
683
|
|
|
|
|
|
|
mpz_t * root; |
|
684
|
|
|
|
|
|
|
mpz_t * remainder; |
|
685
|
|
|
|
|
|
|
PPCODE: |
|
686
|
6
|
|
|
|
|
|
root = malloc (sizeof(mpz_t)); |
|
687
|
6
|
|
|
|
|
|
remainder = malloc (sizeof(mpz_t)); |
|
688
|
6
|
|
|
|
|
|
mpz_init(*root); |
|
689
|
6
|
|
|
|
|
|
mpz_init(*remainder); |
|
690
|
6
|
50
|
|
|
|
|
if (need_rootrem_workaround(m, n)) { |
|
691
|
|
|
|
|
|
|
/* Older libgmp have bugs for negative m, but if we need to we can |
|
692
|
|
|
|
|
|
|
* work on abs(m) then negate the results. |
|
693
|
|
|
|
|
|
|
*/ |
|
694
|
0
|
|
|
|
|
|
mpz_neg(*root, *m); |
|
695
|
0
|
|
|
|
|
|
mpz_rootrem(*root, *remainder, *root, n); |
|
696
|
0
|
|
|
|
|
|
mpz_neg(*root, *root); |
|
697
|
0
|
|
|
|
|
|
mpz_neg(*remainder, *remainder); |
|
698
|
|
|
|
|
|
|
} else { |
|
699
|
6
|
|
|
|
|
|
mpz_rootrem(*root, *remainder, *m, n); |
|
700
|
|
|
|
|
|
|
} |
|
701
|
6
|
50
|
|
|
|
|
EXTEND(SP, 2); |
|
702
|
6
|
|
|
|
|
|
PUSHs(sv_setref_pv(sv_newmortal(), "Math::GMP", (void*)root)); |
|
703
|
6
|
|
|
|
|
|
PUSHs(sv_setref_pv(sv_newmortal(), "Math::GMP", (void*)remainder)); |
|
704
|
|
|
|
|
|
|
|
|
705
|
|
|
|
|
|
|
mpz_t * |
|
706
|
|
|
|
|
|
|
bsqrt(m) |
|
707
|
|
|
|
|
|
|
mpz_t * m |
|
708
|
|
|
|
|
|
|
|
|
709
|
|
|
|
|
|
|
CODE: |
|
710
|
13
|
|
|
|
|
|
RETVAL = malloc (sizeof(mpz_t)); |
|
711
|
13
|
|
|
|
|
|
mpz_init(*RETVAL); |
|
712
|
13
|
|
|
|
|
|
mpz_sqrt(*RETVAL, *m); |
|
713
|
|
|
|
|
|
|
OUTPUT: |
|
714
|
|
|
|
|
|
|
RETVAL |
|
715
|
|
|
|
|
|
|
|
|
716
|
|
|
|
|
|
|
void |
|
717
|
|
|
|
|
|
|
bsqrtrem(m) |
|
718
|
|
|
|
|
|
|
mpz_t * m |
|
719
|
|
|
|
|
|
|
|
|
720
|
|
|
|
|
|
|
PREINIT: |
|
721
|
|
|
|
|
|
|
mpz_t * sqrt; |
|
722
|
|
|
|
|
|
|
mpz_t * remainder; |
|
723
|
|
|
|
|
|
|
PPCODE: |
|
724
|
10
|
|
|
|
|
|
sqrt = malloc (sizeof(mpz_t)); |
|
725
|
10
|
|
|
|
|
|
remainder = malloc (sizeof(mpz_t)); |
|
726
|
10
|
|
|
|
|
|
mpz_init(*sqrt); |
|
727
|
10
|
|
|
|
|
|
mpz_init(*remainder); |
|
728
|
10
|
|
|
|
|
|
mpz_sqrtrem(*sqrt, *remainder, *m); |
|
729
|
10
|
50
|
|
|
|
|
EXTEND(SP, 2); |
|
730
|
10
|
|
|
|
|
|
PUSHs(sv_setref_pv(sv_newmortal(), "Math::GMP", (void*)sqrt)); |
|
731
|
10
|
|
|
|
|
|
PUSHs(sv_setref_pv(sv_newmortal(), "Math::GMP", (void*)remainder)); |
|
732
|
|
|
|
|
|
|
|
|
733
|
|
|
|
|
|
|
int |
|
734
|
|
|
|
|
|
|
is_perfect_power(m) |
|
735
|
|
|
|
|
|
|
mpz_t * m |
|
736
|
|
|
|
|
|
|
|
|
737
|
|
|
|
|
|
|
CODE: |
|
738
|
12
|
|
|
|
|
|
RETVAL = mpz_perfect_power_p(*m) ? 1 : 0; |
|
739
|
|
|
|
|
|
|
OUTPUT: |
|
740
|
|
|
|
|
|
|
RETVAL |
|
741
|
|
|
|
|
|
|
|
|
742
|
|
|
|
|
|
|
int |
|
743
|
|
|
|
|
|
|
is_perfect_square(m) |
|
744
|
|
|
|
|
|
|
mpz_t * m |
|
745
|
|
|
|
|
|
|
|
|
746
|
|
|
|
|
|
|
CODE: |
|
747
|
12
|
|
|
|
|
|
RETVAL = mpz_perfect_square_p(*m) ? 1 : 0; |
|
748
|
|
|
|
|
|
|
OUTPUT: |
|
749
|
|
|
|
|
|
|
RETVAL |
|
750
|
|
|
|
|
|
|
|