xyscale — 2D linear interpolation
Plugin opcode in emugens.
2D linear interpolation between 4 points at (0,0), (1,0), (0,1), (1,1)
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.
Here is an example of the xyscale opcode. It uses the file xyscale.csd.
Example 1236. 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 1237. 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>