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=encoding utf8 |
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=head1 NAME |
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Math::Symbolic::Constant - Constants in symbolic calculations |
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=head1 SYNOPSIS |
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use Math::Symbolic::Constant; |
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my $const = Math::Symbolic::Constant->new(25); |
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my $zero = Math::Symbolic::Constant->zero(); |
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my $one = Math::Symbolic::Constant->one(); |
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my $euler = Math::Symbolic::Constant->euler(); |
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# e = 2.718281828... |
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=head1 DESCRIPTION |
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This module implements numeric constants for Math::Symbolic trees. |
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=head2 EXPORT |
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None by default. |
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=cut |
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package Math::Symbolic::Constant; |
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use 5.006; |
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use strict; |
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717
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use warnings; |
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use Carp; |
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use Math::Symbolic::ExportConstants qw/:all/; |
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5367
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use base 'Math::Symbolic::Base'; |
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47
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16858
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38
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our $VERSION = '0.612'; |
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40
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=head1 METHODS |
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=cut |
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44
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=head2 Constructor new |
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45
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46
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Takes hash reference of key-value pairs as argument. |
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47
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Special case: a value for the constant instead of the hash. |
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48
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Returns a Math::Symbolic::Constant. |
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49
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50
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=cut |
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51
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52
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sub new { |
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53
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10508
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10508
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1
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15371
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my $proto = shift; |
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54
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10508
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66
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33991
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my $class = ref($proto) || $proto; |
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55
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56
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10508
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11600
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my %args; |
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10508
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50
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66
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39809
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%args = %{ shift() } if @_ && ref( $_[0] ) eq 'HASH'; |
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0
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0
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58
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59
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10508
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100
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66
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38961
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my $value = ( @_ && !%args ? shift : $args{value} ); |
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10508
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100
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100
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42897
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$value = $proto->value() if !defined($value) and ref($proto); |
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61
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62
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10508
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100
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32840
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croak("Math::Symbolic::Constant created with undefined value!") |
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if not defined($value); |
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65
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10507
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100
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49313
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my $self = { |
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66
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special => '', |
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67
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( ref($proto) ? %$proto : () ), |
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value => $value, |
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%args, |
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}; |
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72
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10507
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70584
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bless $self => $class; |
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73
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} |
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74
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75
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=head2 Constructor zero |
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76
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77
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Arguments are treated as key-value pairs of object attributes. |
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78
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Returns a Math::Symbolic::Constant with value of 0. |
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79
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80
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=cut |
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81
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82
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sub zero { |
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83
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168
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168
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1
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889
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my $proto = shift; |
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84
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168
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66
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5626
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my $class = ref($proto) || $proto; |
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85
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86
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168
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50
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457
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croak("Uneven number of arguments to zero()") if @_ % 2; |
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88
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return( |
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168
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1122
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bless {@_, value => 0, special => 'zero' } => $class |
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); |
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92
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# return $class->new( { @_, value => 0, special => 'zero' } ); |
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} |
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95
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=head2 Constructor one |
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96
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97
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Arguments are treated as key-value pairs of object attributes. |
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98
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Returns a Math::Symbolic::Constant with value of 1. |
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100
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=cut |
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101
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102
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sub one { |
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103
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202
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202
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1
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294
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my $proto = shift; |
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104
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202
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33
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802
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my $class = ref($proto) || $proto; |
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105
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106
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202
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50
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545
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croak("Uneven number of arguments to one()") if @_ % 2; |
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107
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108
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return( |
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202
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1306
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bless {@_, value => 1, special => 'one' } => $class |
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); |
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111
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112
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#return $class->new( { @_, value => 1 } ); |
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113
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} |
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115
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=head2 Constructor euler |
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116
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117
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Arguments are treated as key-value pairs of object attributes. |
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118
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Returns a Math::Symbolic::Constant with value of e, the Euler number. |
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119
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The object has its 'special' attribute set to 'euler'. |
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120
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121
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=cut |
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122
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123
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sub euler { |
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41
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41
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1
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my $proto = shift; |
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125
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41
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66
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214
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my $class = ref($proto) || $proto; |
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126
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127
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41
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50
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151
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croak("Uneven number of arguments to euler()") if @_ % 2; |
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128
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129
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return( |
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41
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289
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bless {@_, value => EULER, special => 'euler' } => $class |
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131
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); |
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132
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133
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#return $class->new( { @_, value => EULER, special => 'euler' } ); |
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} |
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135
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136
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=head2 Constructor pi |
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137
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138
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Arguments are treated as key-value pairs of object attributes. |
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139
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Returns a Math::Symbolic::Constant with value of pi. |
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140
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The object has its 'special' attribute set to 'pi'. |
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141
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142
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=cut |
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143
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144
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sub pi { |
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145
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1
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1
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1
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3
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my $proto = shift; |
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1
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33
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4
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my $class = ref($proto) || $proto; |
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147
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148
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1
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4
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croak("Uneven number of arguments to pi()") if @_ % 2; |
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149
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150
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return( |
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151
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1
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bless {@_, value => PI, special => 'pi' } => $class |
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152
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); |
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153
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154
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#return $class->new( { @_, value => PI, special => 'pi' } ); |
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} |
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156
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157
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=head2 Method value |
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158
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159
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value() evaluates the Math::Symbolic tree to its numeric representation. |
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160
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161
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value() without arguments requires that every variable in the tree contains |
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162
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a defined value attribute. Please note that this refers to every variable |
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163
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I |
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164
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165
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value() with one argument sets the object's value if you're dealing with |
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166
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Variables or Constants. In case of operators, a call with one argument will |
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167
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assume that the argument is a hash reference. (see next paragraph) |
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168
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169
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value() with named arguments (key/value pairs) associates variables in the tree |
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170
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with the value-arguments if the corresponging key matches the variable name. |
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171
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(Can one say this any more complicated?) Since version 0.132, an |
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172
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equivalent and valid syntax is to pass a single hash reference instead of a |
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173
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list. |
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174
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175
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Example: $tree->value(x => 1, y => 2, z => 3, t => 0) assigns the value 1 to |
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176
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any occurrances of variables of the name "x", aso. |
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177
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178
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If a variable in the tree has no value set (and no argument of value sets |
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179
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it temporarily), the call to value() returns undef. |
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180
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181
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=cut |
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182
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183
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sub value { |
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184
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12745
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12745
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1
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20043
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my $self = shift; |
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185
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12745
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100
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100
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50200
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if ( @_ == 1 and not ref( $_[0] ) eq 'HASH' ) { |
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186
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1
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50
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6
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croak "Constant assigned undefined value!" |
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187
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if not defined $_[0]; |
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188
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189
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1
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3
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$self->{value} = $_[0]; |
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190
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1
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2
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$self->{special} = undef; # !!!FIXME!!! one day, this |
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191
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# needs better handling. |
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192
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} |
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193
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12745
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55763
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return $self->{value}; |
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194
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} |
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195
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196
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=head2 Method signature |
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197
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198
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signature() returns a tree's signature. |
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199
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200
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In the context of Math::Symbolic, signatures are the list of variables |
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201
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any given tree depends on. That means the tree "v*t+x" depends on the |
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202
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variables v, t, and x. Thus, applying signature() on the tree that would |
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203
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be parsed from above example yields the sorted list ('t', 'v', 'x'). |
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205
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Constants do not depend on any variables and therefore return the empty list. |
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Obviously, operators' dependencies vary. |
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208
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Math::Symbolic::Variable objects, however, may have a slightly more |
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209
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involved signature. By convention, Math::Symbolic variables depend on |
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210
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themselves. That means their signature contains their own name. But they |
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can also depend on various other variables because variables themselves |
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can be viewed as placeholders for more compicated terms. For example |
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in mechanics, the acceleration of a particle depends on its mass and |
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214
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the sum of all forces acting on it. So the variable 'acceleration' would |
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215
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have the signature ('acceleration', 'force1', 'force2',..., 'mass', 'time'). |
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216
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217
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If you're just looking for a list of the names of all variables in the tree, |
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218
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you should use the explicit_signature() method instead. |
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219
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220
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=cut |
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221
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222
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sub signature { |
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223
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283
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283
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1
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1301
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return (); |
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224
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} |
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225
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226
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=head2 Method explicit_signature |
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228
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explicit_signature() returns a lexicographically sorted list of |
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variable names in the tree. |
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231
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See also: signature(). |
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233
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=cut |
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235
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sub explicit_signature { |
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83
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83
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1
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310
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return (); |
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} |
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238
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239
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=head2 Method special |
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241
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Optional argument: sets the object's special attribute. |
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242
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Returns the object's special attribute. |
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243
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244
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=cut |
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245
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246
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sub special { |
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247
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531
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531
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1
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831
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my $self = shift; |
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248
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531
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50
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1143
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$self->{special} = shift if @_; |
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249
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531
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2154
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return $self->{special}; |
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250
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} |
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251
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252
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=head2 Method to_string |
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253
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254
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Returns a string representation of the constant. |
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255
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256
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=cut |
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257
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258
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sub to_string { |
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259
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312
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312
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1
|
445
|
my $self = shift; |
|
260
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312
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|
714
|
return $self->value(); |
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261
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} |
|
262
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263
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=head2 Method term_type |
|
264
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265
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Returns the type of the term. (T_CONSTANT) |
|
266
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|
267
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=cut |
|
268
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|
269
|
8275
|
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|
8275
|
1
|
18584
|
sub term_type { T_CONSTANT } |
|
270
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271
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1; |
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272
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__END__ |