Class: Rational

Inherits:
Object
  • Object
show all
Defined in:
lib/mathn.rb

Constant Summary collapse

Unify = 
true

Instance Method Summary collapse

Instance Method Details

#**(other) ⇒ Object 



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# File 'lib/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

#inspect ⇒ Object 



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# File 'lib/mathn.rb', line 120

def inspect
  format "%s/%s", numerator.inspect, denominator.inspect
end

#power! ⇒ Object 



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# File 'lib/mathn.rb', line 124

alias power! **

#power2(other) ⇒ Object 



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# File 'lib/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