method
sqrt
v1_9_2_180 -
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- Class:
Math
sqrt(a)private
No documentation available.
# File lib/mathn.rb, line 122
def sqrt(a)
if a.kind_of?(Complex)
abs = sqrt(a.real*a.real + a.imag*a.imag)
# if not abs.kind_of?(Rational)
# return a**Rational(1,2)
# end
x = sqrt((a.real + abs)/Rational(2))
y = sqrt((-a.real + abs)/Rational(2))
# if !(x.kind_of?(Rational) and y.kind_of?(Rational))
# return a**Rational(1,2)
# end
if a.imag >= 0
Complex(x, y)
else
Complex(x, -y)
end
elsif a.respond_to?(:nan?) and a.nan?
a
elsif a >= 0
rsqrt(a)
else
Complex(0,rsqrt(-a))
end
end