method

sqrt

v1_9_3_392 - Show latest stable - 0 notes - Class: CMath

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sqrt(z) public

Returns the non-negative square root of Complex.

sqrt(-1)            #=> 0+1.0i
sqrt(Complex(-1,0)) #=> 0.0+1.0i
sqrt(Complex(0,8))  #=> 2.0+2.0i

Show source

# File lib/cmath.rb, line 124
  def sqrt(z)
    begin
      if z.real?
        if z < 0
          Complex(0, sqrt!(-z))
        else
          sqrt!(z)
        end
      else
        if z.imag < 0 ||
            (z.imag == 0 && z.imag.to_s[0] == '-')
          sqrt(z.conjugate).conjugate
        else
          r = z.abs
          x = z.real
          Complex(sqrt!((r + x) / 2.0), sqrt!((r - x) / 2.0))
        end
      end
    rescue NoMethodError
      handle_no_method_error
    end
  end

sqrt

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