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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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use warnings; |
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use Carp; |
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use Math::Symbolic::ExportConstants qw/:all/; |
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use base 'Math::Symbolic::Base'; |
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our $VERSION = '0.612'; |
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=head1 METHODS |
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=cut |
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=head2 Constructor new |
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Takes hash reference of key-value pairs as argument. |
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Special case: a value for the constant instead of the hash. |
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Returns a Math::Symbolic::Constant. |
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=cut |
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sub new { |
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my $proto = shift; |
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my $class = ref($proto) || $proto; |
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my %args; |
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%args = %{ shift() } if @_ && ref( $_[0] ) eq 'HASH'; |
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10508
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my $value = ( @_ && !%args ? shift : $args{value} ); |
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$value = $proto->value() if !defined($value) and ref($proto); |
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croak("Math::Symbolic::Constant created with undefined value!") |
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if not defined($value); |
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my $self = { |
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special => '', |
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( ref($proto) ? %$proto : () ), |
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value => $value, |
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%args, |
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}; |
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bless $self => $class; |
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} |
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=head2 Constructor zero |
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Arguments are treated as key-value pairs of object attributes. |
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Returns a Math::Symbolic::Constant with value of 0. |
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=cut |
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sub zero { |
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my $proto = shift; |
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my $class = ref($proto) || $proto; |
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croak("Uneven number of arguments to zero()") if @_ % 2; |
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return( |
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bless {@_, value => 0, special => 'zero' } => $class |
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); |
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# return $class->new( { @_, value => 0, special => 'zero' } ); |
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} |
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=head2 Constructor one |
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Arguments are treated as key-value pairs of object attributes. |
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Returns a Math::Symbolic::Constant with value of 1. |
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=cut |
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sub one { |
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my $proto = shift; |
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my $class = ref($proto) || $proto; |
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croak("Uneven number of arguments to one()") if @_ % 2; |
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return( |
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bless {@_, value => 1, special => 'one' } => $class |
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); |
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#return $class->new( { @_, value => 1 } ); |
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} |
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=head2 Constructor euler |
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Arguments are treated as key-value pairs of object attributes. |
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Returns a Math::Symbolic::Constant with value of e, the Euler number. |
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The object has its 'special' attribute set to 'euler'. |
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=cut |
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123
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sub euler { |
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1
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my $proto = shift; |
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my $class = ref($proto) || $proto; |
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croak("Uneven number of arguments to euler()") if @_ % 2; |
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return( |
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bless {@_, value => EULER, special => 'euler' } => $class |
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); |
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#return $class->new( { @_, value => EULER, special => 'euler' } ); |
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} |
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=head2 Constructor pi |
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Arguments are treated as key-value pairs of object attributes. |
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Returns a Math::Symbolic::Constant with value of pi. |
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The object has its 'special' attribute set to 'pi'. |
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142
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=cut |
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144
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sub pi { |
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my $proto = shift; |
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my $class = ref($proto) || $proto; |
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croak("Uneven number of arguments to pi()") if @_ % 2; |
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150
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return( |
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bless {@_, value => PI, special => 'pi' } => $class |
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); |
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#return $class->new( { @_, value => PI, special => 'pi' } ); |
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} |
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=head2 Method value |
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value() evaluates the Math::Symbolic tree to its numeric representation. |
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value() without arguments requires that every variable in the tree contains |
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a defined value attribute. Please note that this refers to every variable |
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I |
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value() with one argument sets the object's value if you're dealing with |
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Variables or Constants. In case of operators, a call with one argument will |
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assume that the argument is a hash reference. (see next paragraph) |
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value() with named arguments (key/value pairs) associates variables in the tree |
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with the value-arguments if the corresponging key matches the variable name. |
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(Can one say this any more complicated?) Since version 0.132, an |
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equivalent and valid syntax is to pass a single hash reference instead of a |
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list. |
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Example: $tree->value(x => 1, y => 2, z => 3, t => 0) assigns the value 1 to |
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any occurrances of variables of the name "x", aso. |
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If a variable in the tree has no value set (and no argument of value sets |
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it temporarily), the call to value() returns undef. |
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=cut |
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183
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sub value { |
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my $self = shift; |
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12745
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50200
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if ( @_ == 1 and not ref( $_[0] ) eq 'HASH' ) { |
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croak "Constant assigned undefined value!" |
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if not defined $_[0]; |
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189
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1
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$self->{value} = $_[0]; |
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1
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$self->{special} = undef; # !!!FIXME!!! one day, this |
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# needs better handling. |
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} |
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55763
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return $self->{value}; |
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} |
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196
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=head2 Method signature |
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198
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signature() returns a tree's signature. |
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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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any given tree depends on. That means the tree "v*t+x" depends on the |
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variables v, t, and x. Thus, applying signature() on the tree that would |
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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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involved signature. By convention, Math::Symbolic variables depend on |
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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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the sum of all forces acting on it. So the variable 'acceleration' would |
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have the signature ('acceleration', 'force1', 'force2',..., 'mass', 'time'). |
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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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you should use the explicit_signature() method instead. |
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220
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=cut |
221
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222
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sub signature { |
223
|
283
|
|
|
283
|
1
|
1301
|
return (); |
224
|
|
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} |
225
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226
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=head2 Method explicit_signature |
227
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228
|
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|
explicit_signature() returns a lexicographically sorted list of |
229
|
|
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|
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|
|
variable names in the tree. |
230
|
|
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231
|
|
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|
See also: signature(). |
232
|
|
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|
233
|
|
|
|
|
|
|
=cut |
234
|
|
|
|
|
|
|
|
235
|
|
|
|
|
|
|
sub explicit_signature { |
236
|
83
|
|
|
83
|
1
|
310
|
return (); |
237
|
|
|
|
|
|
|
} |
238
|
|
|
|
|
|
|
|
239
|
|
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|
|
|
|
=head2 Method special |
240
|
|
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|
|
|
|
|
241
|
|
|
|
|
|
|
Optional argument: sets the object's special attribute. |
242
|
|
|
|
|
|
|
Returns the object's special attribute. |
243
|
|
|
|
|
|
|
|
244
|
|
|
|
|
|
|
=cut |
245
|
|
|
|
|
|
|
|
246
|
|
|
|
|
|
|
sub special { |
247
|
531
|
|
|
531
|
1
|
831
|
my $self = shift; |
248
|
531
|
50
|
|
|
|
1143
|
$self->{special} = shift if @_; |
249
|
531
|
|
|
|
|
2154
|
return $self->{special}; |
250
|
|
|
|
|
|
|
} |
251
|
|
|
|
|
|
|
|
252
|
|
|
|
|
|
|
=head2 Method to_string |
253
|
|
|
|
|
|
|
|
254
|
|
|
|
|
|
|
Returns a string representation of the constant. |
255
|
|
|
|
|
|
|
|
256
|
|
|
|
|
|
|
=cut |
257
|
|
|
|
|
|
|
|
258
|
|
|
|
|
|
|
sub to_string { |
259
|
312
|
|
|
312
|
1
|
445
|
my $self = shift; |
260
|
312
|
|
|
|
|
714
|
return $self->value(); |
261
|
|
|
|
|
|
|
} |
262
|
|
|
|
|
|
|
|
263
|
|
|
|
|
|
|
=head2 Method term_type |
264
|
|
|
|
|
|
|
|
265
|
|
|
|
|
|
|
Returns the type of the term. (T_CONSTANT) |
266
|
|
|
|
|
|
|
|
267
|
|
|
|
|
|
|
=cut |
268
|
|
|
|
|
|
|
|
269
|
8275
|
|
|
8275
|
1
|
18584
|
sub term_type { T_CONSTANT } |
270
|
|
|
|
|
|
|
|
271
|
|
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|
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|
|
1; |
272
|
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|
__END__ |