pcauchy

pcauchy — Cauchy distribution random number generator (positive values only).

Description

Cauchy distribution random number generator (positive values only). This is an x-class noise generator.

Syntax

ares pcauchy kalpha
ires pcauchy kalpha
kres pcauchy kalpha

Performance

pcauchy kalpha -- controls the spread from zero (big kalpha = big spread). Outputs positive numbers only.

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 pcauchy opcode. It uses the file pcauchy.csd.

Example 587. Example of the pcauchy 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 real audio input is needed too
; For Non-realtime ouput leave only the line below:
; -o pcauchy.wav -W ;;; for file output any platform
</CsOptions>
<CsInstruments>

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

instr 1  	; every run time same values

kalpha	pcauchy	1000
	printk	.2, kalpha		; look
aout	oscili	0.8, 440+kalpha, 1	; & listen
	outs	aout, aout
endin

instr 2		; every run time different values

	seed 0
kalpha	pcauchy	1000
	printk	.2, kalpha		; look 
aout	oscili	0.8, 440+kalpha, 1	; & listen
	outs	aout, aout
endin
</CsInstruments>
<CsScore>
; sine wave
f 1 0 16384 10 1

i 1 0 2
i 2 3 2
e

</CsScore>
</CsoundSynthesizer>


Its output should include a line like this:

 i   1 time     0.00033:    10.48851
 i   1 time     0.20033:     0.29508
 i   1 time     0.40033:     1.75214
 i   1 time     0.60033:    22.88281
 i   1 time     0.80033:    16.06435
 i   1 time     1.00000:     0.43110
 i   1 time     1.20033:    16.51694
 i   1 time     1.40033:     2.98797
 i   1 time     1.60033:     1.32767
 i   1 time     1.80000:    17.94039
 i   1 time     2.00000:     4.85994
 Seeding from current time 1526147515
 i   2 time     3.00033:     0.89797
 i   2 time     3.20033:     9.19447
 i   2 time     3.40033:     0.73053
 i   2 time     3.60000:     7.43371
 i   2 time     3.80033:     5.87640
 i   2 time     4.00000:     0.80456
 i   2 time     4.20000:     4.50637
 i   2 time     4.40033:     2.08145
 i   2 time     4.60033:    13.47125
 i   2 time     4.80033:     3.16399
 i   2 time     5.00000:    11.05428
      

See Also

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

Credits

Author: Paris Smaragdis
MIT, Cambridge
1995