weibull
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## weibull

weibull — Weibull distribution random number generator (positive values only).

## Description

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

## Syntax

    ares weibull ksigma, ktau

    ires weibull ksigma, ktau

    kres weibull ksigma, ktau

## Performance

ksigma -- scales the spread of the distribution.

ktau -- if greater than one, numbers near ksigma are favored. If smaller than one, small values are favored. If t equals 1, the distribution is exponential. Outputs only positive 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 weibull opcode. It uses the file weibull.csd.

Example 1123. Example of the weibull 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 RT audio input is needed too
    ; For Non-realtime ouput leave only the line below:
    ; -o weibull.wav -W ;;; for file output any platform
    </CsOptions>
    <CsInstruments>

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

    instr 1  	; every run time same values

    ktri	weibull 100, 1
    	printk .2, ktri			; look
    aout	oscili 0.8, 440+ktri, 1		; & listen
    	outs	aout, aout
    endin

    instr 2		; every run time different values

    	seed 0
    ktri	weibull 100, 1
    	printk .2, ktri			; look
    aout	oscili 0.8, 440+ktri, 1		; & listen
    	outs	aout, aout
    endin

    instr 3		; every run time different values

    	seed 0
    ktri	weibull 100, 10			; closer to ksigma..
    	printk .2, ktri			; look
    aout	oscili 0.8, 440+ktri, 1		; & listen
    	outs	aout, aout
    endin
    </CsInstruments>
    <CsScore>
    ; sine wave
    f 1 0 16384 10 1

    i 1 0 2
    i 2 3 2
    i 3 6 2
    e
    </CsScore>
    </CsoundSynthesizer>

Its output should include a line like these:

    i   1 time     0.00073:   168.59070
     i   1 time     0.20027:    98.72078
     i   1 time     0.40054:    48.57351
     i   1 time     0.60009:   171.46941
     i   1 time     0.80036:    50.20434
     i   1 time     1.00063:    50.84775
     i   1 time     1.20018:    18.16301
     i   1 time     1.40045:    44.41001
     i   1 time     1.60000:     0.98506
     i   1 time     1.80027:    36.19192

    WARNING: Seeding from current time 2444541554

     i   2 time     3.00045:    20.81653
     i   2 time     3.20000:   116.17060
     i   2 time     3.40027:     9.23891
     i   2 time     3.59982:    95.67111
     i   2 time     3.80009:   296.52851
     i   2 time     4.00036:    39.28636
     i   2 time     4.19991:    13.54326
     i   2 time     4.40018:    54.92388
     i   2 time     4.59973:   268.05584
     i   2 time     4.80000:    95.27069
     i   2 time     5.00027:    91.62076

    WARNING: Seeding from current time 2447542341

     i   3 time     6.00091:    94.40902
     i   3 time     6.20045:   111.10193
     i   3 time     6.40073:    99.38797
     i   3 time     6.60027:    98.54267
     i   3 time     6.80054:   106.53899
     i   3 time     7.00082:   106.30752
     i   3 time     7.20036:    88.75486
     i   3 time     7.40063:   106.45703
     i   3 time     7.60091:    84.59854
     i   3 time     7.80045:   106.76515

## See Also

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

## Credits

Author: Paris Smaragdis
MIT, Cambridge
1995

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