xyscale
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## xyscale

xyscale — 2D linear interpolation

## Description

Plugin opcode in emugens.

2D linear interpolation between 4 points at (0,0), (1,0), (0,1), (1,1)

## Syntax

    kout xyscale kx, ky, k00, k10, k01, k11

## Performance

kx, ky -- Coordinates to evaluate the interpolation. Value between 0-1, where:

k00 -- Value of point at coord (x=0, y=0)

k10 -- Value of point at coord (x=1, y=0)

k01 -- Value of point at coord (x=0, y=1)

k11 -- Value of point at coord (x=1, y=1)

              (0,1)      (1,1)

              (0,0)      (1,0)

Given 4 values placed at the corners of a square, find the interpolated value at point (x, y), where x and y are defined between 0-1.

## Examples

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

Example 1241. Example of the xyscale opcode.

    <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 xyscale.wav -W ;;; for file output any platform

    ; By Stefano Cucchi 2020

    </CsOptions>
    <CsInstruments>

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

    instr 1
    ; In the instr 1  using f1 and f2 you reach the 4 corners (values)
    k00 = p4
    k10 = p5
    k01 = p6
    k11 = p7

    kx oscil 1, p8, p9
    ky oscil 1, p10, p11

    kout1 xyscale kx, ky, k00, k10, k01, k11
    kout2 xyscale kx, ky, k00*3/2, k10*4/3, k01*5/4, k11*6/5

    a1 buzz 0.2, kout1, 8, 3
    a2 buzz 0.2, kout2, 4, 3

    outs a1, a2

    endin

    instr 2
    ; In the instr 2 setting the first value to 0 or 1 (p8 & p9) you can start from the corner  (value) you want

    k00 = p4
    k10 = p5
    k01 = p6
    k11 = p7

    kx randomh 0, 1, 2, 2, p8 ; p8 is the X starting value
    ky randomh 0, 1, 2, 2, p9 ; p9 is the Y starting value

    kout1 xyscale kx, ky, k00, k10, k01, k11
    kout2 xyscale kx, ky, k00*3/2, k10*4/3, k01*5/4, k11*6/5

    a1 buzz 0.2, kout1, 8, 3
    a2 buzz 0.2, kout2, 4, 3

    outs a1, a2

    endin

    </CsInstruments>
    <CsScore>

    f1 0 1024 -7 0 400 0 100 1 400 1 124 0
    f2 0 1024 -7 0 200 0 100 1 400 1 100 0 224 1
    f3 0 1024 10 1

    i1 0 10 300 400 500 600 0.3 1 0.2 2
    i2 10 10 300 410 520 630 0 0

    e

    </CsScore>
    </CsoundSynthesizer>

Here is another example of the xyscale opcode. It uses the file xyscale-FLTK.csd.

Example 1242. Advanced example of the xyscale 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
    ; Audio out   Audio in    No messages
    -odac           -iadc     -d     ;;;RT audio I/O
    </CsOptions>
    <CsInstruments>

    ksmps=128
    nchnls=2

    giwidth = 400
    giheight = 300
    FLpanel "FLmouse", giwidth, giheight, 10, 10
    FLpanelEnd

    FLrun

    0dbfs = 1

    instr 1
      ; We define four chords for bottom-left, bottom-right, top-left and top-right
      ; Use the mouse to interpolate between them
      ibl[] fillarray ntom:i("4C"), ntom:i("4Eb"), ntom:i("4G")
      itl[] fillarray ntom:i("4E"), ntom:i("4G#"), ntom:i("4B")
      ibr[] fillarray ntom:i("4G"), ntom:i("4A"), ntom:i("4B")
      itr[] fillarray ntom:i("4Eb"), ntom:i("4Eb+"), ntom:i("4F")

      kmousex, kmousey, kb1, kb2, kb3    FLmouse 2
      kx = limit(kmousex/giwidth, 0, 1)
      ky = 1 - limit(kmousey/giheight, 0, 1)

      printf "x: %f   y: %f \n", changed(kx, ky), kx, ky

      iamp = 0.1
      a0 oscili iamp, mtof(xyscale(kx, ky, ibl[0], itl[0], ibr[0], itr[0]))
      a1 oscili iamp, mtof(xyscale(kx, ky, ibl[1], itl[1], ibr[1], itr[1]))
      a2 oscili iamp, mtof(xyscale(kx, ky, ibl[2], itl[2], ibr[2], itr[2]))
      aout = sum(a0, a1, a2)
      outs aout, aout
    endin

    </CsInstruments>
    <CsScore>
    i 1 0 120

    </CsScore>
    </CsoundSynthesizer>

## See also

Linear and Exponential Generators

## Credits

By: Eduardo Moguillansky 2017

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