Lissajous study

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#1

just dialling in the alg I’ve been using to generate some Lissajous curves:

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#2

really enjoyed this one.
ive once worked on Vector Phase Shaping Synthesis related to this paper https://www.researchgate.net/publication/236616428_Vector_Phaseshaping_Synthesis
in chapter 4.3 you also find Lissajous Modulation.
would you like to share some code, how this is done?

(
var nearestEven, nearestOdd, vps;

nearestEven = {
	arg val;
	var val_floor, val_ceil, res, distance;
	val_floor = val.floor;
	val_ceil = val.ceil;
	res = Select.ar(val % 2,
		[ val_floor, val_ceil ],
	);
	distance = (val - res).abs;
	[ res, distance ];
};

nearestOdd = {
	arg val;
	var val_floor, val_ceil, res, distance;
	val_floor = val.floor;
	val_ceil = val.ceil;
	res = Select.ar(val + 1 % 2,
		[ val_floor, val_ceil ],
	);
	distance = (val - res).abs;
	[ res, distance ];
};

vps = { |trig, freq, horizontal, vertical|
	var vertical_even = nearestEven.(vertical);
	var vertical_odd = nearestOdd.(vertical);
	var cos, phasor, sig;
	vertical = [vertical_even[0], vertical_odd[0]];
	phasor = Phasor.ar(Impulse.ar(trig), freq/2 * SampleDur.ir, horizontal.neg, 1-horizontal, horizontal.neg);
	phasor = phasor.bilin(0, horizontal.neg, 1-horizontal, vertical, 0, 1);
	cos = (phasor * 2pi).cos.neg;
	sig = XFade2.ar(cos[0], cos[1], vertical_even[1] * 2 - 1);
	sig = LeakDC.ar(sig);
	sig;
};

{
	var freq = \freq.kr(110);
	var horizontal = MouseX.kr(0.01,0.99);
	var vertical = K2A.ar(MouseY.kr(1.0,10.0));
	var sig = vps.(0, freq,  horizontal, vertical);
	sig!2 * 0.1;
}.play(fadeTime: 0);
)
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