Contents

require 'dydx/algebra/set/base'
require 'dydx/algebra/set/num'
require 'dydx/algebra/set/fixnum'
require 'dydx/algebra/set/symbol'
require 'dydx/algebra/set/e'
require 'dydx/algebra/set/pi'
require 'dydx/algebra/set/log'
require 'dydx/algebra/set/sin'
require 'dydx/algebra/set/cos'
require 'dydx/algebra/set/tan'

module Dydx
  module Algebra
    module Set
      def e0
        eval("$e0 ||= Num.new(0)")
      end

      def e1
        eval("$e1 ||= Num.new(1)")
      end
      def _(num)
        if num >= 0
          eval("$p#{num} ||= Num.new(num)")
        else
          eval("$n#{-1 * num} ||= Num.new(num)")
        end
      end

      def pi
        $pi ||= Pi.new
      end

      def e
        $e ||= E.new
      end

      def log(formula)
        if formula.multiplication?
          f, g = formula.f, formula.g
          log(f) + log(g)
        elsif formula.exponentiation?
          f, g = formula.f, formula.g
          g * log(f)
        elsif formula.is_1?
          e0
        elsif formula.is_a?(E)
          e1
        else
          Log.new(formula)
        end
      end

      def sin(x)
        multiplier = x.is_multiple_of(pi)
        if multiplier.is_a?(Num)
          e0
        else
          Sin.new(x)
        end
      end

      def cos(x)
        multiplier = x.is_multiple_of(pi)
        if multiplier.is_a?(Num) && multiplier.n % 2 == 0
          e1
        elsif multiplier.is_a?(Num) && multiplier.n % 2 == 1
          _(-1)
        else
          Cos.new(x)
        end
      end

      def tan(x)
        Tan.new(x)
      end
    end
  end
end

Version data entries

3 entries across 3 versions & 1 rubygems

Version	Path
dydx-0.0.9	lib/dydx/algebra/set.rb
dydx-0.0.8	lib/dydx/algebra/set.rb
dydx-0.0.7	lib/dydx/algebra/set.rb