core/numeric.rb

class Numeric
  include Comparable

  # Always raises TypeError, as dup'ing Numerics is not allowed.
  def initialize_copy(other)
    raise TypeError, "copy of #{self.class} is not allowed"
  end

  private :initialize_copy

  def +@
    self
  end

  def -@
    0 - self
  end

  def divmod(other)
    [div(other), self % other]
  end

  def eql?(other)
    return false unless other.instance_of? self.class
    self == other
  end

  def <=>(other)
    # It's important this method NOT contain the coercion protocols!
    # MRI doesn't and doing so breaks stuff!

    return 0 if self.equal? other
    return nil
  end

  def step(limit=nil, step=nil, to: nil, by: nil)
    unless block_given?
      return to_enum(:step, limit, step, to: to, by: by) do
        Rubinius::Mirror::Numeric.reflect(self).step_size(limit, step, to, by)
      end
    end

    m = Rubinius::Mirror::Numeric.reflect(self)
    values = m.step_fetch_args(limit, step, to, by)
    value = values[0]
    limit = values[1]
    step = values[2]
    asc = values[3]
    is_float = values[4]

    if step == 0
      while true
        yield value
      end
    end

    if is_float
      n = m.step_float_size(value, limit, step, asc)

      if n > 0
        if step.infinite?
          yield value
        else
          i = 0
          if asc
            while i < n
              d = i * step + value
              d = limit if limit < d
              yield d
              i += 1
            end
          else
            while i < n
              d = i * step + value
              d = limit if limit > d
              yield d
              i += 1
            end
          end
        end
      end
    else
      if asc
        until value > limit
          yield value
          value += step
        end
      else
        until value < limit
          yield value
          value += step
        end
      end
    end

    return self
  end

  def truncate
    Float(self).truncate
  end

  # Delegate #to_int to #to_i in subclasses
  def to_int
    to_i
  end

  def integer?
    false
  end

  def zero?
    self == 0
  end

  def nonzero?
    zero? ? nil : self
  end

  def round
    to_f.round
  end

  def abs
    self < 0 ? -self : self
  end

  def floor
    FloatValue(self).floor
  end

  def ceil
    FloatValue(self).ceil
  end

  def remainder(other)
    mod = self % other

    if mod != 0 and ((self < 0 and other > 0) or (self > 0 and other < 0))
      mod - other
    else
      mod
    end
  end

  #--
  # We deviate from MRI behavior here because we ensure that Fixnum op Bignum
  # => Bignum (possibly normalized to Fixnum)
  #
  # Note these differences on MRI, where a is a Fixnum, b is a Bignum
  #
  #   a.coerce b => [Float, Float]
  #   b.coerce a => [Bignum, Bignum]
  #++

  def coerce(other)
    if other.instance_of? self.class
      return [other, self]
    end

    [Float(other), Float(self)]
  end

  ##
  # This method mimics the semantics of MRI's do_coerce function
  # in numeric.c. Note these differences between it and #coerce:
  #
  #   1.2.coerce("2") => [2.0, 1.2]
  #   1.2 + "2" => TypeError: String can't be coerced into Float
  #
  # See also Integer#coerce

  def math_coerce(other, error=:coerce_error)
    begin
      values = other.coerce(self)
    rescue
      if error == :coerce_error
        raise TypeError, "#{other.class} can't be coerced into #{self.class}"
      else
        raise ArgumentError, "comparison of #{self.class} with #{other.class} failed"
      end
    end

    unless Rubinius::Type.object_kind_of?(values, Array) && values.length == 2
      raise TypeError, "coerce must return [x, y]"
    end

    return values[1], values[0]
  end
  private :math_coerce

  def redo_coerced(meth, right)
    b, a = math_coerce(right)
    a.__send__ meth, b
  end
  private :redo_coerced

  def redo_compare(meth, right)
    b, a = math_coerce(right, :compare_error)
    a.__send__ meth, b
  end

  def div(other)
    raise ZeroDivisionError, "divided by 0" if other == 0
    self.__slash__(other).floor
  end

  def fdiv(other)
    self.to_f / other
  end

  def quo(other)
    Rubinius.privately do
      Rational.convert(self, 1, false) / other
    end
  end

  def modulo(other)
    self - other * self.div(other)
  end
  alias_method :%, :modulo

  def i
    Complex(0, self)
  end

  def to_c
    Complex(self, 0)
  end

  def real
    self
  end

  def imag
    0
  end
  alias_method :imaginary, :imag

  def arg
    if self < 0
      Math::PI
    else
      0
    end
  end
  alias_method :angle, :arg
  alias_method :phase, :arg

  def polar
    return abs, arg
  end

  def conjugate
    self
  end
  alias_method :conj, :conjugate

  def rect
    [self, 0]
  end
  alias_method :rectangular, :rect

  def abs2
    self * self
  end

  alias_method :magnitude, :abs

  def numerator
    to_r.numerator
  end

  def denominator
    to_r.denominator
  end

  def real?
    true
  end

  def positive?
    self > 0
  end

  def negative?
    self < 0
  end
end