mags
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## mags

mags — Obtains the magnitudes of a complex-number array

## Description

This opcode returns the magnitudes of a complex-number array (in rfft format), as a real-valued array with half the size of its input plus one. The magnitude for the Nyquist frequency are kept in the last position of the array.

## Syntax

    kout[] mags kin[]

## Performance

kout[] -- output array containing the magnitudes (size = input_size/2 + 1). It will be created if it does not exist.

kin[] -- input array containing the complex-valued real-imaginary input.

## Examples

Here is an example of the mags opcode. It uses the file mags.csd.

Example 515. Example of the mags opcode.

See the sections Real-time Audio and Command Line Flags for more information on using command line flags.

    <CsoundSynthesizer>
    <CsOptions>
    -d -o dac
    </CsOptions>
    <CsInstruments>
    /* ksmps needs to be an integer div of
       hopsize */
    ksmps = 64

    instr 1

     ihopsize = 256  ; hopsize
     ifftsize = 2048 ; FFT size
     iolaps = ifftsize/ihopsize ; overlaps
     ibw = sr/ifftsize ; bin bandwidth
     kcnt init 0    ; counting vars
     krow init 0

     kOla[] init ifftsize ; overlap-add buffer
     kIn[] init ifftsize  ; input buffer
     kOlph[] init ifftsize/2+1 ; old phases
     kPhs[] init ifftsize/2+1 ; synthesis phases
     kDeltaOut[] init ifftsize/2+1 ; synthesis freqs
     kMagsOut[] init ifftsize/2+1 ; synthesis mags
     kOut[][] init iolaps, ifftsize ; output buffers

     a1 diskin2 "fox.wav",1,0,1 ; audio input

     /* every hopsize samples */
     if kcnt == ihopsize then
       /* window and take FFT */
       kWin[] window kIn,krow*ihopsize
       kSpec[] rfft kWin

      /* mags & phases */
      kMags[] mags kSpec
      kPha[] phs kSpec

      /* phase diffs */
      kDelta[] = kPha - kOlph
      kOlph = kPha

      /* pitch shift */
      ki = 0
      iscal = 1.25 ; maj 3rd up
      until ki == ifftsize/2 do
       if ki*iscal < ifftsize/2 then
         kDeltaOut[ki*iscal] = kDelta[ki]*iscal
         kMagsOut[ki*iscal] = kMags[ki]
       endif
        ki += 1
      od

      /* accum phases */
       kPhs = kDeltaOut + kPhs
       kSpec pol2rect kMagsOut,kPhs

       /* IFFT + window */
       kRow[] rifft kSpec
       kWin window kRow, krow*ihopsize
       /* place it on out buffer */
       kOut setrow kWin, krow

       /* zero the ola buffer */
       kOla = 0
       /* overlap-add */
       ki = 0
       until ki == iolaps do
         kRow getrow kOut, ki
         kOla = kOla + kRow
         ki += 1
       od

      /* update counters */
      krow = (krow+1)%iolaps
      kcnt = 0
     endif

     /* shift audio in/out of buffers */
     kIn shiftin a1
     a2 shiftout kOla
     a1 delay a1, (ifftsize+ihopsize)/sr
        out a1*0.3+a2/iolaps

     /* increment counter */
     kcnt += ksmps

    endin

    </CsInstruments>
    <CsScore>
    i1 0 10
    </CsScore>
    </CsoundSynthesizer>

## See Also

Vectorial opcodes, array opcodes

## Credits

Author: Victor Lazzarini
NUI Maynooth
2014

New in version 6.04

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