IMEXP

Updated 2024-03-13 15:47:28.690000

Syntax

SELECT [westclintech].[wct].[IMEXP] (
   <@inumber, nvarchar(4000),>)

Description

Use the scalar function IMEXP to return the exponential of a complex number in x + yi or x + yj text format. The exponential is computed as:

e^{(x+yi)}=e^xe^{yi}=e^x(\cos{y}+i\sin{y})

Arguments

@inumber

is the value at which to evaluate the function. @inumber 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.

Return Type

nvarchar(4000)

Remarks

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

Examples

select wct.IMEXP('7+24i');

This produces the following result.

{"columns":[{"field":"column 1"}],"rows":[{"column 1":"465.168764555019-993.087259331794i"}]}