Class: Rational

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# File 'opal/opal/corelib/rational.rb', line 48
def initialize(num, den)
 @num = num
 @den = den
end

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# File 'opal/opal/corelib/rational.rb', line 22
def self.convert(num, den)
 if num.nil? || den.nil?
 raise TypeError , 'cannot convert nil into Rational'
 end
 if Integer  === num && Integer  === den
 return reduce(num, den)
 end
 if Float  === num || String  === num || Complex  === num
 num = num.to_r
 end
 if Float  === den || String  === den || Complex  === den
 den = den.to_r
 end
 if den.equal?(1) && !(Integer  === num)
 Opal .coerce_to! (num, Rational , :to_r)
 elsif Numeric  === num && Numeric  === den
 num / den
 else
 reduce(num, den)
 end
end

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# File 'opal/opal/corelib/rational.rb', line 4
def self.reduce(num, den)
 num = num.to_i
 den = den.to_i
 if den == 0
 raise ZeroDivisionError , 'divided by 0'
 elsif den < 0
 num = -num
 den = -den
 elsif den == 1
 return new(num, den)
 end
 gcd = num.gcd(den)
 new(num / gcd, den / gcd)
end

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# File 'opal/opal/corelib/rational.rb', line 144
def *(other)
 case other
 when Rational 
 num = @num * other.numerator
 den = @den * other.denominator
 Rational (num, den)
 when Integer 
 Rational (@num * other, @den)
 when Float 
 to_f * other
 else
 __coerced__ :*, other
 end
end

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# File 'opal/opal/corelib/rational.rb', line 186
def **(other)
 case other
 when Integer 
 if self == 0 && other < 0
 Float ::INFINITY 
 elsif other > 0
 Rational (@num**other, @den**other)
 elsif other < 0
 Rational (@den**-other, @num**-other)
 else
 Rational (1, 1)
 end
 when Float 
 to_f**other
 when Rational 
 if other == 0
 Rational (1, 1)
 elsif other.denominator == 1
 if other < 0
 Rational (@den**other.numerator.abs, @num**other.numerator.abs)
 else
 Rational (@num**other.numerator, @den**other.numerator)
 end
 elsif self == 0 && other < 0
 raise ZeroDivisionError , 'divided by 0'
 else
 to_f**other
 end
 else
 __coerced__ :**, other
 end
end

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# File 'opal/opal/corelib/rational.rb', line 106
def +(other)
 case other
 when Rational 
 num = @num * other.denominator + @den * other.numerator
 den = @den * other.denominator
 Rational (num, den)
 when Integer 
 Rational (@num + other * @den, @den)
 when Float 
 to_f + other
 else
 __coerced__ :+, other
 end
end

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# File 'opal/opal/corelib/rational.rb', line 125
def -(other)
 case other
 when Rational 
 num = @num * other.denominator - @den * other.numerator
 den = @den * other.denominator
 Rational (num, den)
 when Integer 
 Rational (@num - other * @den, @den)
 when Float 
 to_f - other
 else
 __coerced__ :-, other
 end
end

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# File 'opal/opal/corelib/rational.rb', line 163
def /(other)
 case other
 when Rational 
 num = @num * other.denominator
 den = @den * other.numerator
 Rational (num, den)
 when Integer 
 if other == 0
 to_f / 0.0
 else
 Rational (@num, @den * other)
 end
 when Float 
 to_f / other
 else
 __coerced__ :/, other
 end
end

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# File 'opal/opal/corelib/rational.rb', line 90
def <=>(other)
 case other
 when Rational 
 @num * other.denominator - @den * other.numerator <=> 0
 when Integer 
 @num - @den * other <=> 0
 when Float 
 to_f <=> other
 else
 __coerced__ :<=>, other
 end
end

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# File 'opal/opal/corelib/rational.rb', line 74
def ==(other)
 case other
 when Rational 
 @num == other.numerator && @den == other.denominator
 when Integer 
 @num == other && @den == 1
 when Float 
 to_f == other
 else
 other == self
 end
end

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# File 'opal/opal/corelib/rational.rb', line 222
def abs
 Rational (@num.abs, @den.abs)
end

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# File 'opal/opal/corelib/rational.rb', line 226
def ceil(precision = 0)
 if precision == 0
 (-(-@num / @den)).ceil
 else
 with_precision(:ceil, precision)
 end
end

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# File 'opal/opal/corelib/rational.rb', line 61
def coerce(other)
 case other
 when Rational 
 [other, self]
 when Integer 
 [other.to_r, self]
 when Float 
 [other, to_f]
 end
end

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# File 'opal/opal/corelib/rational.rb', line 57
def denominator
 @den
end

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# File 'opal/opal/corelib/rational.rb', line 236
def floor(precision = 0)
 if precision == 0
 (-(-@num / @den)).floor
 else
 with_precision(:floor, precision)
 end
end

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# File 'opal/opal/corelib/rational.rb', line 244
def hash
 "Rational:#{@num}:#{@den}"
end

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# File 'opal/opal/corelib/rational.rb', line 248
def inspect
 "(#{self})"
end

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# File 'opal/opal/corelib/rational.rb', line 53
def numerator
 @num
end

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# File 'opal/opal/corelib/rational.rb', line 254
def rationalize(eps = undefined)
 %x{
 if (arguments.length > 1) {
 #{raise ArgumentError , "wrong number of arguments (#{`arguments.length`} for 0..1)"};
 }
 if (eps == null) {
 return self;
 }
 var e = #{eps.abs},
 a = #{self - `e`},
 b = #{self + `e`};
 var p0 = 0,
 p1 = 1,
 q0 = 1,
 q1 = 0,
 p2, q2;
 var c, k, t;
 while (true) {
 c = #{`a`.ceil};
 if (#{`c` <= `b`}) {
 break;
 }
 k = c - 1;
 p2 = k * p1 + p0;
 q2 = k * q1 + q0;
 t = #{1 / (`b` - `k`)};
 b = #{1 / (`a` - `k`)};
 a = t;
 p0 = p1;
 q0 = q1;
 p1 = p2;
 q1 = q2;
 }
 return #{Rational (`c * p1 + p0`, `c * q1 + q0`)};
 }
end

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# File 'opal/opal/corelib/rational.rb', line 300
def round(precision = 0)
 return with_precision(:round, precision) unless precision == 0
 return 0 if @num == 0
 return @num if @den == 1
 num = @num.abs * 2 + @den
 den = @den * 2
 approx = (num / den).truncate
 if @num < 0
 -approx
 else
 approx
 end
end

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# File 'opal/opal/corelib/rational.rb', line 317
def to_f
 @num / @den
end

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# File 'opal/opal/corelib/rational.rb', line 321
def to_i
 truncate
end

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# File 'opal/opal/corelib/rational.rb', line 325
def to_r
 self
end

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# File 'opal/opal/corelib/rational.rb', line 329
def to_s 
 "#{@num}/#{@den}"
end

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# File 'opal/opal/corelib/rational.rb', line 333
def truncate(precision = 0)
 if precision == 0
 @num < 0 ? ceil : floor
 else
 with_precision(:truncate, precision)
 end
end

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# File 'opal/opal/corelib/rational.rb', line 341
def with_precision(method, precision)
 raise TypeError , 'not an Integer' unless Integer  === precision
 p = 10**precision
 s = self * p
 if precision < 1
 (s.send(method) / p).to_i
 else
 Rational (s.send(method), p)
 end
end