IMLN

Updated 2024-03-13 15:57:49.647000

Syntax

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

Description

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

\ln(x+yi)=\ln\sqrt{x^2+y^2}+i\tan^{-1}\frac{y}{x}

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.IMLN('7+24i');

This produces the following result.

{"columns":[{"field":"column 1"}],"rows":[{"column 1":"3.2188758248682+1.28700221758657i"}]}