s18cc returns a value of the scaled modified Bessel function .
Syntax
C# |
---|
public static double s18cc( double x, out int ifail ) |
Visual Basic |
---|
Public Shared Function s18cc ( _ x As Double, _ <OutAttribute> ByRef ifail As Integer _ ) As Double |
Visual C++ |
---|
public: static double s18cc( double x, [OutAttribute] int% ifail ) |
F# |
---|
static member s18cc : x : float * ifail : int byref -> float |
Parameters
- x
- Type: System..::..DoubleOn entry: the argument of the function.Constraint: .
- ifail
- Type: System..::..Int32%On exit: unless the method detects an error or a warning has been flagged (see [Error Indicators and Warnings]).
Return Value
s18cc returns a value of the scaled modified Bessel function .
Description
s18cc evaluates an approximation to , where is a modified Bessel function of the second kind. The scaling factor removes most of the variation in .
The method uses the same Chebyshev expansions as s18ac, which returns the unscaled value of .
References
Abramowitz M and Stegun I A (1972) Handbook of Mathematical Functions (3rd Edition) Dover Publications
Error Indicators and Warnings
Errors or warnings detected by the method:
- On entry, , is undefined.On failure, s18cc returns zero.
Accuracy
Relative errors in the argument are attenuated when propagated into the function value. When the accuracy of the argument is essentially limited by the machine precision, the accuracy of the function value will be similarly limited by at most a small multiple of the machine precision.
Parallelism and Performance
None.
Further Comments
None.
Example
This example reads values of the argument from a file, evaluates the function at each value of and prints the results.
Example program (C#): s18cce.cs