When mathn is required, the Math module changes as follows:
Standard Math module behaviour:
Math.sqrt(4/9) # => 0.0 Math.sqrt(4.0/9.0) # => 0.666666666666667 Math.sqrt(- 4/9) # => Errno::EDOM: Numerical argument out of domain - sqrt
After require ‘mathn’, this is changed to:
require 'mathn' Math.sqrt(4/9) # => 2/3 Math.sqrt(4.0/9.0) # => 0.666666666666667 Math.sqrt(- 4/9) # => Complex(0, 2/3)
Computes the square root of a. It makes use of Complex and
Rational to have no rounding errors if possible.
Math.sqrt(4/9) # => 2/3 Math.sqrt(- 4/9) # => Complex(0, 2/3) Math.sqrt(4.0/9.0) # => 0.666666666666667
# File mathn.rb, line 104
def sqrt(a)
if a.kind_of?(Complex)
sqrt!(a)
elsif a.respond_to?(:nan?) and a.nan?
a
elsif a >= 0
rsqrt(a)
else
Complex(0,rsqrt(-a))
end
end