IMPOWER

Updated 2024-03-13 19:33:35.197000

Syntax

SELECT [westclintech].[wct].[IMPOWER] (
  <@inumber, nvarchar(4000),>
 ,<@Number, float,>)

Description

Use the scalar function IMPOWER to return a complex number in x + yi or x + yj text format raised to a power. A complex number raised to a power is calculated as follows:

(x+yi)^n=r^n\cos{n}\theta+ir^n\sin{n}\theta

Wherer = IMABS(x+yi)θ =IMARGUMENT(x+yi)

Arguments

@inumber

is a complex number you want to raise to a power. @inumber1 is an expression of type varchar or of a type that can be implicitly converted to varchar and must be in the format x + yi or x + yj, where x is a real number that can be converted to float and yi (or yj) is an imaginary number, where the y part can be converted to float.

@Number

is the power to which you want to raise the complex number. @Number is an expression of type float or of a type that can be implicitly converted to float.

Return Type

nvarchar(4000)

Remarks

Use COMPLEX to convert real and imaginary coefficients into a complex number.

Examples

select wct.IMPOWER('2+3i', 2);

This produces the following result.

{"columns":[{"field":"column 1"}],"rows":[{"column 1":"-5+12i"}]}