# GATANH

## Purpose:

Generates a hyperbolic arc-tangent series
in accordance with the specified parameters.

## Syntax:

GATANH(length, spacing,
factor, offset)

length |
- |
An integer, the length of the output series. |

spacing |
- |
A real, the spacing (delta x) between each
point on the x-axis. |

frequency |
- |
Optional. A real, the
frequency specified in radians. Defaults to 1. |

phase |
- |
Optional. A real, the
phase specified in radians. Defaults to 0. |

## Returns:

A series.

## Example:

gatanh(100, 0.1, 2, 1)

creates a hyperbolic arc-tangent series
of 100 points spaced 0.1 x-units apart. The series is also
be shifted by one unit (the offset value) on the x-axis,
and compressed by a factor of 2.

## Remarks:

The formula used to generate each point,
*n*, in the series is as follows:

y[n] = ATANH(spacing
• factor • (n-1)
+ offset)

## See Also:

ATANH

TRIGNOMETRIC
FUNCTION GENERATORS