﻿ s18cc Method
s18cc returns a value of the scaled modified Bessel function ${e}^{x}{K}_{0}\left(x\right)$.

# 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..::..Double
On entry: the argument $x$ of the function.
Constraint: ${\mathbf{x}}>0.0$.
ifail
Type: System..::..Int32%
On exit: ${\mathbf{ifail}}={0}$ 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 ${e}^{x}{K}_{0}\left(x\right)$.

# Description

s18cc evaluates an approximation to ${e}^{x}{K}_{0}\left(x\right)$, where ${K}_{0}$ is a modified Bessel function of the second kind. The scaling factor ${e}^{x}$ removes most of the variation in ${K}_{0}\left(x\right)$.
The method uses the same Chebyshev expansions as s18ac, which returns the unscaled value of ${K}_{0}\left(x\right)$.

# 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:
${\mathbf{ifail}}=1$
On entry, ${\mathbf{x}}\le 0.0$, ${K}_{0}$ is undefined.
On failure, s18cc returns zero.
${\mathbf{ifail}}=-9000$
An error occured, see message report.

# 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.

None.

None.

# Example

This example reads values of the argument $x$ from a file, evaluates the function at each value of $x$ and prints the results.

Example program (C#): s18cce.cs

Example program data: s18cce.d

Example program results: s18cce.r