GEN07
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## GEN07

GEN07 — Constructs functions from segments of straight lines.

## Description

Constructs functions from segments of straight lines.

## Syntax

    f  #    time    size   7   a   n1   b   n2   c  ...

## Initialization

size -- number of points in the table. Must be a power of 2 or power-of-2 plus 1 (see f statement).

a, b, c, etc. -- ordinate values, in odd-numbered pfields p5, p7, p9, . . .

n1, n2, etc. -- length of segment (no. of storage locations), in even-numbered pfields. Cannot be negative, but a zero is meaningful for specifying discontinuous waveforms (e.g. in the example below). The sum n1 + n2 + .... will normally equal size for fully specified functions. If the sum is smaller, the function locations not included will be set to zero; if the sum is greater, only the first size locations will be stored.

| Note

- If p4 is positive, functions are post-normalized (rescaled to a maximum absolute value of 1 after generation). A negative p4 will cause rescaling to be skipped.

- Discrete-point linear interpolation implies an increase or decrease along a segment by equal differences between adjacent locations; exponential interpolation implies that the progression is by equal ratio. In both forms the interpolation from a to b is such as to assume that the value b will be attained in the n + 1th location. For discontinuous functions, and for the segment encompassing the end location, this value will not actually be reached, although it may eventually appear as a result of final scaling.

## Examples

Here is an example of the GEN07 routine. It uses the files gen07.csd.

Example 1235. An example of the GEN07 routine.

    <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 gen07.wav -W ;;; for file output any platform
    </CsOptions>
    <CsInstruments>

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

    instr 1	;use GEN07 to alter frequency

    ifn  = p4						;use different GEN07 tables
    kcps init 10/p3						;index ftable 10 times over the duration of entire note
    kndx phasor kcps
    ixmode = 1						;normalize index data
    kfrq tablei kndx, ifn, ixmode
    kfrq = kfrq*1000					;scale
    asig poscil .8, 1220+kfrq, 1				;add to frequency
         outs asig, asig

    endin
    </CsInstruments>
    <CsScore>
    f 1 0 8192 10 1				;sine wave
    f 2 0 1024 7 0 512 1 0 -1 512 0		;sawtooth up and down
    f 3 0 1024 7 1 512 1 0 -1 512 -1	;square
    f 4 0 1024 7 1 1024 -1 			;saw down

    i 1 0 2 2
    i 1 + 2 3
    i 1 + 1 4
    e
    </CsScore>
    </CsoundSynthesizer>

These are the diagrams of the waveforms of the GEN07 routines, as used in the example:

f 2 0 1024 7 0 512 1 0 -1 512 0 - sawtooth up and down, starting and ending at 0

f 3 0 1024 7 1 512 1 0 -1 512 -1 - a square from positive to negative

f 4 0 1024 7 1 1024 -1 - sawtooth down, a straight line from positive to negative

## See Also

GEN05, GEN06, and GEN08

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