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class Rational < Numeric
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
alias quo /
def <=>(rhs)
case rhs
when Integer, Float
return numerator <=> rhs if denominator == 1
rhs = Rational(rhs)
end
case rhs
when Rational
(numerator * rhs.denominator - denominator * rhs.numerator) <=> 0
when Numeric
(rhs <=> self)&.-@
else
nil
end
end
end
class Numeric
def to_r
Rational(self, 1)
end
end
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