gaussi
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## gaussi

gaussi — Gaussian distribution random number generator with interpolation.

## Description

Gaussian distribution random number generator with controlled interpolation between values. This is an x-class noise generator.

## Syntax

    ares gaussi krange, xamp, xcps

    ires gaussi krange, xamp, xcps

    kres gaussi krange, xamp, xcps

## Performance

krange -- the range of the random numbers (-krange to +krange). Outputs both positive and negative numbers.

gauss returns random numbers following a normal distribution centered around 0.0 (mu = 0.0) with a variance (sigma) of krange / 3.83. Thus more than 99.99% of the random values generated are in the range -krange to +krange. If a mean value different of 0.0 is desired, this mean value has to be added to the generated numbers (see example below).

For more detailed explanation of these distributions, see:

1. C. Dodge - T.A. Jerse 1985. Computer music. Schirmer books. pp.265 - 286

2. D. Lorrain. A panoply of stochastic cannons. In C. Roads, ed. 1989. Music machine . Cambridge, Massachusetts: MIT press, pp. 351 - 379.

xamp -- range over which random numbers are distributed.

xcps -- the frequency which new random numbers are generated.

## Examples

Here is an example of the gaussi opcode. It uses the file gaussi.csd.

Example 312. Example of the gaussi opcode.

See the sections Real-time Audio and Command Line Flags for more information on using command line flags.

    <CsoundSynthesizer>
    <CsOptions>
    ; Select audio/midi flags here according to platform
    -odac     ;;;realtime audio out
    ;-iadc    ;;;uncomment -iadc if realtime audio input is needed too
    ; For Non-realtime ouput leave only the line below:
    ; -o exprand.wav -W ;;; for file output any platform
    </CsOptions>
    <CsInstruments>

    sr = 44100
    ksmps = 32
    nchnls = 2
    0dbfs = 1

    instr 1
    klambda gaussi  100, 1, 3
            printk2 klambda             ; look
    aout    oscili  0.8, 440+klambda, 1 ; & listen
            outs    aout, aout
    endin

    </CsInstruments>
    <CsScore>
    ; sine wave
    f 1 0 16384 10 1

    i 1 0 4
    e

    </CsScore>
    </CsoundSynthesizer>

## See Also

gauss

## Credits

Author: John ffitch
Bath
May 2011
New in version 5.14

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