U:RDoc::NormalClass[iI" Numeric:ET@I" Object;To:RDoc::Markup::Document: @parts[o;;[: @fileI"lib/mathn.rb;T:0@omit_headings_from_table_of_contents_below0o;;[o:RDoc::Markup::Paragraph;[I"UNumeric is the class from which all higher-level numeric classes should inherit.;To:RDoc::Markup::BlankLineo; ;[I"`Numeric allows instantiation of heap-allocated objects. Other core numeric classes such as ;TI"`Integer are implemented as immediates, which means that each Integer is a single immutable ;TI",object which is always passed by value.;T@o:RDoc::Markup::Verbatim;[I" a = 1 ;TI"0puts 1.object_id == a.object_id #=> true ;T: @format0o; ;[I"\There can only ever be one instance of the integer +1+, for example. Ruby ensures this ;TI"]by preventing instantiation. If duplication is attempted, the same instance is returned.;T@o; ;[I"bInteger.new(1) #=> NoMethodError: undefined method `new' for Integer:Class ;TI",1.dup #=> 1 ;TI"/1.object_id == 1.dup.object_id #=> true ;T;0o; ;[I"QFor this reason, Numeric should be used when defining other numeric classes.;T@o; ;[I"\Classes which inherit from Numeric must implement +coerce+, which returns a two-member ;TI"XArray containing an object that has been coerced into an instance of the new class ;TI"and +self+ (see #coerce).;T@o; ;[ I"[Inheriting classes should also implement arithmetic operator methods (+, ;TI"_-, * and /) and the <=> operator (see ;TI"UComparable). These methods may rely on +coerce+ to ensure interoperability with ;TI"(instances of other numeric classes.;T@o; ;[.I"class Tally < Numeric ;TI" def initialize(string) ;TI" @string = string ;TI" end ;TI" ;TI" def to_s ;TI" @string ;TI" end ;TI" ;TI" def to_i ;TI" @string.size ;TI" end ;TI" ;TI" def coerce(other) ;TI"2 [self.class.new('|' * other.to_i), self] ;TI" end ;TI" ;TI" def <=>(other) ;TI" to_i <=> other.to_i ;TI" end ;TI" ;TI" def +(other) ;TI"3 self.class.new('|' * (to_i + other.to_i)) ;TI" end ;TI" ;TI" def -(other) ;TI"3 self.class.new('|' * (to_i - other.to_i)) ;TI" end ;TI" ;TI" def *(other) ;TI"3 self.class.new('|' * (to_i * other.to_i)) ;TI" end ;TI" ;TI" def /(other) ;TI"3 self.class.new('|' * (to_i / other.to_i)) ;TI" end ;TI" end ;TI" ;TI"tally = Tally.new('||') ;TI"*puts tally * 2 #=> "||||" ;TI"'puts tally > 1 #=> true;T;0; I"numeric.c;T; 0; 0; 0[[[[I"Comparable;To;;[; @_; 0I"numeric.c;T[[I" class;T[[: public[[:protected[[: private[[I" instance;T[[;[3[I"%;T@g[I"+@;T@g[I"-@;T@g[I"<=>;T@g[I"abs;T@g[I" abs2;TI"complex.c;T[I" angle;T@~[I"arg;T@~[I" ceil;T@g[I" coerce;T@g[I" conj;T@~[I"conjugate;T@~[I"denominator;TI"rational.c;T[I"div;T@g[I" divmod;T@g[I" eql?;T@g[I" fdiv;T@g[I" finite?;T@g[I" floor;T@g[I"i;T@g[I" imag;T@~[I"imaginary;T@~[I"infinite?;T@g[I"initialize_copy;T@g[I" integer?;T@g[I"magnitude;T@g[I" modulo;T@g[I"negative?;T@g[I" nonzero?;T@g[I"numerator;T@[I" phase;T@~[I" polar;T@~[I"positive?;T@g[I"quo;T@[I" real;T@~[I" real?;T@g[I" rect;T@~[I"rectangular;T@~[I"remainder;T@g[I" round;T@g[I"singleton_method_added;T@g[I" step;T@g[I" to_c;T@~[I" to_int;T@g[I" truncate;T@g[I" zero?;T@g[;[[;[[[U:RDoc::Context::Section[i0o;;[; 0; 0[ I"complex.c;T@ @_I"rational.c;T@cRDoc::TopLevel