public static Complex<T> RootOfUnity(
	int degree,
	int index
)

Public Shared Function RootOfUnity ( 
	degree As Integer,
	index As Integer
) As Complex(Of T)

public:
static Complex<T> RootOfUnity(
	int degree, 
	int index
)

static member RootOfUnity : 
        degree : int * 
        index : int -> Complex<'T> 

Parameters

degree

Type: SystemInt32
The degree of the root.

index

Type: SystemInt32
The index of the root.

Return Value

The roots of unity are the solutions to the equation zⁿ= R.One, with n the degree, which cannot be zero. There are exactly n solutions to this equations. Together, they give the coordinates of a regular n-sided polygon with its center at the origin, its vertices at unit distance from the origin, and its first vertex on the real axis.

This method returns the roots of the specified degree in counter-clockwise order. The index can be any integer value.

This method requires that the operand type supports real arithmetic.

Numerical Libraries

Reference