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# GEN21

GEN21 -- Generates tables of different random distributions.

## Description

This generates tables of different random distributions. (See also betarand, bexprnd, cauchy, exprand, gauss, linrand, pcauchy, poisson, trirand, unirand, and weibull)

## Syntax

f # time size 21 type level [arg1 [arg2]]

## Initialization

time and size are the usual GEN function arguments. level defines the amplitude. Note that GEN21 is not self-normalizing as are most other GEN functions. type defines the distribution to be used as follow:

- 1 = Uniform (positive numbers only)

- 2 = Linear (positive numbers only)

- 3 = Triangular (positive and negative numbers)

- 4 = Exponential (positive numbers only)

- 5 = Biexponential (positive and negative numbers)

- 6 = Gaussian (positive and negative numbers)

- 7 = Cauchy (positive and negative numbers)

- 8 = Positive Cauchy (positive numbers only)

- 9 = Beta (positive numbers only)

- 10 = Weibull (positive numbers only)

- 11 = Poisson (positive numbers only)

Of all these cases only 9 (Beta) and 10 (Weibull) need extra arguments. Beta needs two arguments and Weibull one.

## Examples

    f1 0 1024 21 1       ; Uniform (white noise)
    f1 0 1024 21 6       ; Gaussian
    f1 0 1024 21 9 1 1 2 ; Beta (note that level precedes arguments)
    f1 0 1024 21 10 1 2  ; Weibull

All of the above additions were designed by the author between May and December 1994, under the supervision of Dr. Richard Boulanger.

## Credits

Author: Paris Smaragdis
MIT, Cambridge
1995

Author: John ffitch
University of Bath/Codemist Ltd.
Bath, UK

New in Csound version 3.2

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