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  • mathn.rb

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Rational

Constants

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Public Instance Methods

**(other) click to toggle source
 
               # File mathn.rb, line 126
def ** (other)
  if other.kind_of?(Rational)
    other2 = other
    if self < 0
      return Complex.new!(self, 0) ** other
    elsif other == 0
      return Rational(1,1)
    elsif self == 0
      return Rational(0,1)
    elsif self == 1
      return Rational(1,1)
    end
    
    npd = numerator.prime_division
    dpd = denominator.prime_division
    if other < 0
      other = -other
      npd, dpd = dpd, npd
    end
    
    for elm in npd
      elm[1] = elm[1] * other
      if !elm[1].kind_of?(Integer) and elm[1].denominator != 1
       return Float(self) ** other2
      end
      elm[1] = elm[1].to_i
    end
    
    for elm in dpd
      elm[1] = elm[1] * other
      if !elm[1].kind_of?(Integer) and elm[1].denominator != 1
       return Float(self) ** other2
      end
      elm[1] = elm[1].to_i
    end
    
    num = Integer.from_prime_division(npd)
    den = Integer.from_prime_division(dpd)
    
    Rational(num,den)
    
  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
            
Also aliased as: power!
inspect() click to toggle source
 
               # File mathn.rb, line 120
def inspect
  format "%s/%s", numerator.inspect, denominator.inspect
end
            
power!(other) click to toggle source
Alias for: **
power2(other) click to toggle source
 
               # File mathn.rb, line 187
def power2(other)
  if other.kind_of?(Rational)
    if self < 0
      return Complex(self, 0) ** other
    elsif other == 0
      return Rational(1,1)
    elsif self == 0
      return Rational(0,1)
    elsif self == 1
      return Rational(1,1)
    end
    
    dem = nil
    x = self.denominator.to_f.to_i
    neard = self.denominator.to_f ** (1.0/other.denominator.to_f)
    loop do
      if (neard**other.denominator == self.denominator)
        dem = neaed
        break
      end
    end
    nearn = self.numerator.to_f ** (1.0/other.denominator.to_f)
    Rational(num,den)
    
  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