Class: Rational
Class Method Summary
collapse
Instance Method Summary
collapse
Methods inherited from Numeric
#%, #+@, #-@, #__coerced__, #abs2, #angle, #clone, #conj, #div, #divmod, #dup, #fdiv, #finite?, #i, #imag, #infinite?, #integer?, #negative?, #nonzero?, #polar, #positive?, #real, #real?, #rect, #to_c, #to_int, #zero?
Methods included from Comparable
#<, #<=, #>, #>=, #between?, #clamp
Constructor Details
#initialize(num, den) ⇒ Rational
Returns a new instance of 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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Class Method Details
.convert(num, den) ⇒ Object
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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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.reduce(num, den) ⇒ Object
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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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Instance Method Details
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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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#**(other) ⇒ Object
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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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#/(other) ⇒ Object
Also known as:
divide, quo
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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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#<=>(other) ⇒ Object
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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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#==(other) ⇒ Object
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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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#ceil(precision = 0) ⇒ Object
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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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#coerce(other) ⇒ Object
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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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#denominator ⇒ Object
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# File 'opal/opal/corelib/rational.rb', line 57
def denominator
@den
end
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#floor(precision = 0) ⇒ Object
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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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#numerator ⇒ Object
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# File 'opal/opal/corelib/rational.rb', line 53
def numerator
@num
end
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#rationalize(eps = undefined) ⇒ Object
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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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#round(precision = 0) ⇒ Object
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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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#truncate(precision = 0) ⇒ Object
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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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#with_precision(method, precision) ⇒ Object
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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
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