Rational (Class)

In: rational.rb
Parent: Numeric

Methods

%   *   **   +   -   /   <=>   ==   abs   coerce   divmod   hash   inspect   new   new!   reduce   to_f   to_i   to_r   to_s  

Attributes

denominator  [R] 
numerator  [R] 

Public Class methods

[Source]

# File rational.rb, line 50
  def Rational.reduce(num, den = 1)
    raise ZeroDivisionError, "denominator is 0" if den == 0

    if den < 0
      num = -num
      den = -den
    end
    gcd = num.gcd(den)
    num = num.div(gcd)
    den = den.div(gcd)
    if den == 1 && defined?(Unify)
      num
    else
      new!(num, den)
    end
  end

[Source]

# File rational.rb, line 67
  def Rational.new!(num, den = 1)
    new(num, den)
  end

[Source]

# File rational.rb, line 73
  def initialize(num, den)
    if den < 0
      num = -num
      den = -den
    end
    if num.kind_of?(Integer) and den.kind_of?(Integer)
      @numerator = num
      @denominator = den
    else
      @numerator = num.to_i
      @denominator = den.to_i
    end
  end

Public Instance methods

[Source]

# File rational.rb, line 87
  def + (a)
    if a.kind_of?(Rational)
      num = @numerator * a.denominator
      num_a = a.numerator * @denominator
      Rational(num + num_a, @denominator * a.denominator)
    elsif a.kind_of?(Integer)
      self + Rational.new!(a, 1)
    elsif a.kind_of?(Float)
      Float(self) + a
    else
      x, y = a.coerce(self)
      x + y
    end
  end

[Source]

# File rational.rb, line 102
  def - (a)
    if a.kind_of?(Rational)
      num = @numerator * a.denominator
      num_a = a.numerator * @denominator
      Rational(num - num_a, @denominator*a.denominator)
    elsif a.kind_of?(Integer)
      self - Rational.new!(a, 1)
    elsif a.kind_of?(Float)
      Float(self) - a
    else
      x, y = a.coerce(self)
      x - y
    end
  end

[Source]

# File rational.rb, line 117
  def * (a)
    if a.kind_of?(Rational)
      num = @numerator * a.numerator
      den = @denominator * a.denominator
      Rational(num, den)
    elsif a.kind_of?(Integer)
      self * Rational.new!(a, 1)
    elsif a.kind_of?(Float)
      Float(self) * a
    else
      x, y = a.coerce(self)
      x * y
    end
  end

[Source]

# File rational.rb, line 132
  def / (a)
    if a.kind_of?(Rational)
      num = @numerator * a.denominator
      den = @denominator * a.numerator
      Rational(num, den)
    elsif a.kind_of?(Integer)
      raise ZeroDivisionError, "divided by 0" if a == 0
      self / Rational.new!(a, 1)
    elsif a.kind_of?(Float)
      Float(self) / a
    else
      x, y = a.coerce(self)
      x / y
    end
  end

[Source]

# File rational.rb, line 148
  def ** (other)
    if other.kind_of?(Rational)
      Float(self) ** other
    elsif other.kind_of?(Integer)
      if other > 0
        num = @numerator ** other
        den = @denominator ** other
      elsif other < 0
        num = @denominator ** -other
        den = @numerator ** -other
      elsif other == 0
        num = 1
        den = 1
      end
      Rational.new!(num, den)
    elsif other.kind_of?(Float)
      Float(self) ** other
    else
      x, y = other.coerce(self)
      x ** y
    end
  end

[Source]

# File rational.rb, line 171
  def % (other)
    value = (self / other).to_i
    return self - other * value
  end

[Source]

# File rational.rb, line 176
  def divmod(other)
    value = (self / other).to_i
    return value, self - other * value
  end

[Source]

# File rational.rb, line 181
  def abs
    if @numerator > 0
      Rational.new!(@numerator, @denominator)
    else
      Rational.new!(-@numerator, @denominator)
    end
  end

[Source]

# File rational.rb, line 189
  def == (other)
    if other.kind_of?(Rational)
      @numerator == other.numerator and @denominator == other.denominator
    elsif other.kind_of?(Integer)
      self == Rational.new!(other, 1)
    elsif other.kind_of?(Float)
      Float(self) == other
    else
      other == self
    end
  end

[Source]

# File rational.rb, line 201
  def <=> (other)
    if other.kind_of?(Rational)
      num = @numerator * other.denominator
      num_a = other.numerator * @denominator
      v = num - num_a
      if v > 0
        return 1
      elsif v < 0
        return  -1
      else
        return 0
      end
    elsif other.kind_of?(Integer)
      return self <=> Rational.new!(other, 1)
    elsif other.kind_of?(Float)
      return Float(self) <=> other
    elsif defined? other.coerce
      x, y = other.coerce(self)
      return x <=> y
    else
      return nil
    end
  end

[Source]

# File rational.rb, line 225
  def coerce(other)
    if other.kind_of?(Float)
      return other, self.to_f
    elsif other.kind_of?(Integer)
      return Rational.new!(other, 1), self
    else
      super
    end
  end

[Source]

# File rational.rb, line 235
  def to_i
    Integer(@numerator.div(@denominator))
  end

[Source]

# File rational.rb, line 239
  def to_f
    @numerator.to_f/@denominator.to_f
  end

[Source]

# File rational.rb, line 243
  def to_s
    if @denominator == 1
      @numerator.to_s
    else
      @numerator.to_s+"/"+@denominator.to_s
    end
  end

[Source]

# File rational.rb, line 251
  def to_r
    self
  end

[Source]

# File rational.rb, line 255
  def inspect
    sprintf("Rational(%s, %s)", @numerator.inspect, @denominator.inspect)
  end

[Source]

# File rational.rb, line 259
  def hash
    @numerator.hash ^ @denominator.hash
  end

[Validate]