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# Copyright (c) 2009-2015 Martin Becker. All rights reserved. |
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# This package is free software; you can redistribute it and/or modify it |
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# under the same terms as Perl itself. |
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# |
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# $Id: BigInt.pm 60 2015-05-18 08:47:12Z demetri $ |
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package Math::ModInt::BigInt; |
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9
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1422
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use 5.006; |
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170
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10
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18
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use strict; |
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130
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11
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18
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use warnings; |
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130
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12
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18
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use Carp qw(croak); |
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244
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978
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use Math::BigInt; |
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18735
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38
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14
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4
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14158
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use constant _ISSUE_CPAN_RT79060 => -1 != Math::BigInt->new(-2) / 3; |
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15
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16
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# ----- object definition ----- |
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18
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# Math::ModInt::BigInt=ARRAY(...) |
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20
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# .......... index .......... # .......... value .......... |
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2021
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use constant F_RESIDUE => 0; # residue r, 0 <= r < m |
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8
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205
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22
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21
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use constant F_MODULUS => 1; # modulus m |
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5
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158
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23
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18
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use constant NFIELDS => 2; |
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294
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24
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25
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# ----- class data ----- |
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27
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BEGIN { |
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require Math::ModInt; |
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48
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our @ISA = 'Math::ModInt'; |
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2683
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our $VERSION = '0.011'; |
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} |
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33
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# ----- overridden methods ----- |
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35
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sub _NEG { |
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7
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1117
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my ($this) = @_; |
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return $this->_NEW(-$this->residue); |
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} |
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40
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sub _ADD { |
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33
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33
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my ($this, $that) = @_; |
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33
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55
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return $this->_NEW($this->residue + $that->residue); |
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} |
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45
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sub _SUB { |
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30
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my ($this, $that) = @_; |
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47
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25
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36
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return $this->_NEW($this->residue - $that->residue); |
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} |
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50
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sub _MUL { |
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41
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41
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my ($this, $that) = @_; |
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52
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41
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60
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return $this->_NEW($this->residue * $that->residue); |
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53
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} |
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54
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55
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sub _DIV { |
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37
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my ($this, $that) = @_; |
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57
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25
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35
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my $i = $that->residue->copy->bmodinv($that->modulus); |
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58
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25
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100
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3774
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return $this->undefined if $i->is_nan; |
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59
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14
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78
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return $this->_NEW($this->residue * $i); |
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60
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} |
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61
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62
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sub _POW { |
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63
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71
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71
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92
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my ($this, $exp) = @_; |
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64
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71
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100
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153
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if ($this->is_zero) { |
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65
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# work around Math::BigInt bug rt.cpan.org #61543 |
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66
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12
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100
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1632
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return $this->undefined if 0 > $exp; |
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67
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8
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100
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21
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return $this->_NEW(1) if 0 == $exp; |
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68
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6
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17
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return $this; |
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69
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} |
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70
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59
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7252
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my $p = $this->residue->copy->bmodpow($exp, $this->modulus); |
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71
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59
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100
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37069
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return $this->undefined if $p->is_nan; |
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72
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57
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428
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return $this->_NEW($p); |
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73
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} |
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74
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75
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sub _INV { |
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7
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7
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my ($this) = @_; |
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77
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7
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14
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my $i = $this->residue->copy->bmodinv($this->modulus); |
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78
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7
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100
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1215
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return $this->undefined if $i->is_nan; |
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79
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4
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28
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return $this->_NEW($i); |
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80
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} |
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81
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82
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sub _NEW { |
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83
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301
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301
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9185
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my ($this, $int, $modulus) = @_; |
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84
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301
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351
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my $class = ref $this; |
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85
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301
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100
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541
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if ($class) { |
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86
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289
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446
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$modulus = $this->modulus; |
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87
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} |
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88
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else { |
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89
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12
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17
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$class = $this; |
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90
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} |
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91
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301
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395
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foreach my $arg ($int, $modulus) { |
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92
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602
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100
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66
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5481
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if (!ref($arg) || !$arg->isa('Math::BigInt')) { |
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93
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90
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228
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$arg = Math::BigInt->new($arg); |
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94
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} |
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95
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} |
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96
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301
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1068
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return bless [$int % $modulus, $modulus], $class; |
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97
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} |
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98
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99
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sub _NEW2 { |
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100
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2
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2
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4
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my ($this, $int, $modulus) = @_; |
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101
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2
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5
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my $class = ref $this; |
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102
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2
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100
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5
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if ($class) { |
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103
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1
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5
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$modulus = $this->modulus; |
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104
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} |
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105
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else { |
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106
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1
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2
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$class = $this; |
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107
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} |
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108
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2
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5
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foreach my $arg ($int, $modulus) { |
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109
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4
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100
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66
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46
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if (!ref($arg) || !$arg->isa('Math::BigInt')) { |
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110
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1
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3
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$arg = Math::BigInt->new($arg); |
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111
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} |
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112
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} |
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113
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2
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4
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my ($quotient, $remainder); |
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114
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2
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100
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10
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if (_ISSUE_CPAN_RT79060 && $int->is_neg) { |
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115
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1
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8
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$remainder = $int % $modulus; |
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116
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1
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89
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$quotient = ($int - $remainder) / $modulus; |
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117
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} |
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118
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else { |
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119
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1
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13
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($quotient, $remainder) = $int->copy->bdiv($modulus); |
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120
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} |
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121
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2
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385
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return ($quotient, bless [$remainder, $modulus], $class); |
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122
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} |
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123
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124
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sub residue { |
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125
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852
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852
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1
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2381
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my ($this) = @_; |
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126
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852
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1903
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return $this->[F_RESIDUE]; |
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127
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} |
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128
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129
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sub modulus { |
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130
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1099
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1099
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1
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8785
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my ($this) = @_; |
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131
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1099
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2218
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return $this->[F_MODULUS]; |
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132
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} |
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133
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134
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1; |
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135
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136
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__END__ |