ComplexMathSqr Method

public static Complex Sqr(
	Complex z
)

Public Shared Function Sqr ( 
	z As Complex
) As Complex

public:
static Complex Sqr(
	Complex z
)

static member Sqr : 
        z : Complex -> Complex 

Parameters

z

Type: Meta.NumericsComplex
The argument.

Return Value

Unlike Sqr(Double), there is slightly more to this method than shorthand for z * z. In terms of real and imaginary parts z = x + i y, the product z * z = (x * x - y * y) + i(x * y + x * y), which not only requires 6 flops to evaluate, but also computes the real part as an expression that can easily overflow or suffer from significant cancelation error. By instead computing z² via as (x - y) * (x + y) + i 2 * x * y, this method not only requires fewer flops but is also less subject to overflow and cancelation error. You should therefore generally favor the computation of z² using this method over its computation as z * z.

Reference