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class Rational < Numeric
def initialize(numerator = 0, denominator = 1)
@numerator = numerator
@denominator = denominator
_simplify
end
def inspect
"(#{to_s})"
end
def to_s
"#{numerator}/#{denominator}"
end
def *(rhs)
if rhs.is_a? Rational
Rational(numerator * rhs.numerator, denominator * rhs.denominator)
elsif rhs.is_a? Integer
Rational(numerator * rhs, denominator)
elsif rhs.is_a? Numeric
numerator * rhs / denominator
end
end
def +(rhs)
if rhs.is_a? Rational
Rational(numerator * rhs.denominator + rhs.numerator * denominator, denominator * rhs.denominator)
elsif rhs.is_a? Integer
Rational(numerator + rhs * denominator, denominator)
elsif rhs.is_a? Numeric
(numerator + rhs * denominator) / denominator
end
end
def -(rhs)
if rhs.is_a? Rational
Rational(numerator * rhs.denominator - rhs.numerator * denominator, denominator * rhs.denominator)
elsif rhs.is_a? Integer
Rational(numerator - rhs * denominator, denominator)
elsif rhs.is_a? Numeric
(numerator - rhs * denominator) / denominator
end
end
def /(rhs)
if rhs.is_a? Rational
Rational(numerator * rhs.denominator, denominator * rhs.numerator)
elsif rhs.is_a? Integer
Rational(numerator, denominator * rhs)
elsif rhs.is_a? Numeric
numerator / rhs / denominator
end
end
def negative?
numerator.negative?
end
def _simplify
a = numerator
b = denominator
a, b = b, a % b while !b.zero?
@numerator /= a
@denominator /= a
end
attr_reader :numerator, :denominator
end
def Rational(numerator = 0, denominator = 1)
Rational.new(numerator, denominator)
end
[Fixnum, Float].each do |cls|
[:+, :-, :*, :/, :==].each do |op|
cls.instance_exec do
original_operator_name = "__original_operator_#{op}_rational"
alias_method original_operator_name, op
define_method op do |rhs|
if rhs.is_a? Rational
Rational(self).send(op, rhs)
else
send(original_operator_name, rhs)
end
end
end
end
end
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