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Contents
module Dydx
module Algebra
module Operator
module Parts
module General
%w(+ * ^).map(&:to_sym).each do |operator|
define_method(operator) do |x|
if x.is_0?
case operator
when :+ then self
when :* then x
when :^ then e1
end
elsif x.is_1?
case operator
when :+ then super(x)
when :* then self
when :^ then self
end
elsif self == x
case operator
when :+ then _(2) * self
when :* then self ^ _(2)
when :^ then super(x)
end
elsif operator == :+ && inverse?(:+, x)
e0
elsif operator == :* && inverse?(:*, x)
e1
elsif [:+, :*].include?(operator) && x.formula?(operator)
if combinable?(x.f, operator)
send(operator, x.f).send(operator, x.g)
elsif combinable?(x.g, operator)
send(operator, x.g).send(operator, x.f)
else
super(x)
end
elsif x.is_a?(Inverse) && x.operator == operator && x.x.formula?(operator)
if combinable?(x.x.f, operator)
send(operator, inverse(x.x.f, operator)).send(operator, inverse(x.x.g, operator))
elsif combinable?(x.x.g, operator)
send(operator, inverse(x.x.g, operator)).send(operator, inverse(x.x.f, operator))
else
super(x)
end
elsif [:*].include?(operator) && x.inverse?(:+)
inverse(::Algebra::Formula.new(self, x.x, operator.to_sym), :+)
else
super(x)
end
end
end
end
end
end
end
end
Version data entries
5 entries across 5 versions & 1 rubygems