## %

% — Modulus operator.

## Description

Arithmetic operators perform operations of change-sign (negate), don't-change-sign, logical AND logical OR, add, subtract, multiply and divide. Note that a value or an expression may fall between two of these operators, either of which could take it as its left or right argument, as in

a + b * c.

In such cases three rules apply:

1. * and / bind to their neighbors more strongly than + and −. Thus the above expression is taken as

a + (b * c)

with * taking b and c and then + taking a and b * c.

2. + and bind more strongly than &&, which in turn is stronger than ||:

a && b - c || d

is taken as

(a && (b - c)) || d

3. When both operators bind equally strongly, the operations are done left to right:

a - b - c

is taken as

(a - b) - c

Parentheses may be used as above to force particular groupings.

The operator % returns the value of a reduced by b, so that the result, in absolute value, is less than the absolute value of b, by repeated subtraction. This is technically a remainder, like the % operator in C and similar languages, and not actually a modulus. New in Csound version 3.50.

## Syntax

`a % b  (no rate restriction)`

where the arguments a and b may be further expressions.

## Arguments

The arguments of % can be scalar values or k-rate one dimensional arrays (vectors), or any combination. If one of the arguments is an array, so is the value.

## Examples

Here is an example of the % operator. It uses the file modulus.csd.

Example 18. Example of the % operator.

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 -Ma --midi-key=4 --midi-velocity-amp=5 -m0  ;;;realtime audio out and midi in
; For Non-realtime ouput leave only the line below:
; -o %.wav -W ;;; for file output any platform
</CsOptions>
<CsInstruments>

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

giScale ftgen 1, 0, -12, -2, 0, -34, -7, 10, -14, 3, -21, -3, -27, -10, 7, -17	;12 note scale with detuned keys

instr 1

ikey	= p4
ivel	= p5
indx	= ikey % 12								;work on the twelftone scale
icent	tab_i indx, giScale							;load the scale
ifreqeq	= cpsmidinn(ikey)
ifreq	= ifreqeq * cent(icent)							;change frequency by cents from table
prints	"Key %d modulus 12 =  %d. ", ikey, indx
prints	"Equal-tempered frequency of this key  = %f,", ifreqeq
prints  " but here with cent deviation %d = %f%n", icent, ifreq
asig	vco2 ivel*.5, ifreq
outs asig, asig

endin
</CsInstruments>
<CsScore>
f 0 60		;run for 60 seconds

e
</CsScore>
</CsoundSynthesizer>
```