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# Rational

When mathn is required Rational is changed to simplify the use of Rational operations.

Normal behaviour:

```Rational.new!(1,3) ** 2 # => Rational(1, 9)
(1 / 3) ** 2            # => 0
```

require ‘mathn’ behaviour:

```(1 / 3) ** 2            # => 1/9
```

### Public Instance Methods

**(other) click to toggle source

Exponentiate by `other`

```(1/3) ** 2 # => 1/9
```
```
# File mathn.rb, line 138
def ** (other)
if other.kind_of?(Rational)
other2 = other
if self < 0
return Complex(self, 0.0) ** 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(num, den)
elsif other.kind_of?(Float)
Float(self) ** other
else
x , y = other.coerce(self)
x ** y
end
end
```

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