cauchy — Cauchy distribution random number generator.
kalpha -- controls the spread from zero (big kalpha = big spread). Outputs both positive and negative numbers.
For more detailed explanation of these distributions, see:
C. Dodge - T.A. Jerse 1985. Computer music. Schirmer books. pp.265 - 286
D. Lorrain. A panoply of stochastic cannons. In C. Roads, ed. 1989. Music machine . Cambridge, Massachusetts: MIT press, pp. 351 - 379.
Here is an example of the cauchy opcode. Play cauchy.csd
Example 118. 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 -odac ;;;RT audio out ;-iadc ;;;uncomment -iadc if RT audio input is needed too ; For Non-realtime ouput leave only the line below: ; -o cauchy.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 cauchy 100 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 cauchy 100 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 lines like:
i 1 time 0.00267: -0.20676
i 1 time 0.20267: -0.28814
i 1 time 0.40267: 0.61651
i 1 time 0.60267: -18.18552
i 1 time 0.80267: 1.18140
i 1 time 1.00000: -0.75432
i 1 time 1.20267: -0.02002
i 1 time 1.40267: 0.01785
i 1 time 1.60267: -0.48834
i 1 time 1.80000: 9.69401
i 1 time 2.00000: -0.41257
Seeding from current time 3112109827
i 2 time 3.00267: -0.46887
i 2 time 3.20267: 0.06189
i 2 time 3.40267: -0.40303
i 2 time 3.60000: 0.89312
i 2 time 3.80267: -0.40374
i 2 time 4.00000: 0.86557
i 2 time 4.20000: 0.09192
i 2 time 4.40267: -0.16748
i 2 time 4.60267: 0.30133
i 2 time 4.80267: 0.31657
i 2 time 5.00000: 0.44681