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Editing File: /opt/cpanel/ea-ruby24/root/usr/share/ri/system/Numeric/cdesc-Numeric.ri

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::BlankLine�o;;[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 (<code>+</code>, ;TI"_<code>-</code>, <code>*</code> and <code>/</code>) and the <code><=></code> 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;
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integer?;T@g[I"magnitude;T@g[I"modulo;T@g[I"negative?;T@g[I"
nonzero?;T@g[I"numerator;T@Ť[I"
phase;T@~[I"
polar;T@~[I"positive?;T@g[I"quo;T@Ť[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"
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