cauchy

cauchy — Cauchy distribution random number generator.

Description

Cauchy distribution random number generator. This is an x-class noise generator.

Syntax

ares cauchy kalpha
ires cauchy kalpha
kres cauchy kalpha

Performance

kalpha -- controls the spread from zero (big kalpha = big spread). Outputs both positive and negative numbers.

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.

Examples

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

Example 63. Example of the cauchy 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
; Audio out   Audio in
-odac           -iadc    ;;;RT audio I/O
; For Non-realtime ouput leave only the line below:
; -o cauchy.wav -W ;;; for file output any platform
</CsOptions>
<CsInstruments>

; Initialize the global variables.
sr = 44100
kr = 4410
ksmps = 10
nchnls = 1

; Instrument #1.
instr 1
  ; Generate a random number, spread from 10.
  ; kalpha = 10

  i1 cauchy 10

  print i1
endin


</CsInstruments>
<CsScore>

; Play Instrument #1 for one second.
i 1 0 1
e


</CsScore>
</CsoundSynthesizer>


Its output should include lines like:

instr 1:  i1 = -0.106
      

See Also

seed, betarand, bexprnd, exprand, gauss, linrand, pcauchy, poisson, trirand, unirand, weibull

Credits

Author: Paris Smaragdis
MIT, Cambridge
1995

Existed in 3.30

Example written by Kevin Conder.