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AbstractGridLines {

	var <>spec;

	*new { arg spec;
		^super.newCopyArgs(spec.asSpec).prCheckWarp;
	}

	asGrid { ^this }

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// Examples demonstrate alignment based on fs = 48kHz.

// SinOsc: the second cycle should begin exactly at
// time t = period (centered in the plot).
// The last sample should NOT fall on 2*period,
// rather within one sample duration before.
// Plot/grid extents should still show requested duration.
(
var period = 0.0005, dur = period * 2;
f = { SinOsc.ar(period.reciprocal) };

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(
~getQuat = {|alpha, ang_x, ang_y, ang_z|
	var rot = sin(alpha/2);
	var q = Quaternion(
		cos(alpha/2),
		rot * cos(ang_x),
		rot * cos(ang_y),
		rot * cos(ang_z)
	);
	q

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(
~win = Window();
~win.layout_(HLayout());
~palettes = IdentityDictionary(know: true);
[
	\light,
	// \midlight, // undefinted, see above
	// \middark, // undefinted, see above
	\dark,
	// \shadow,// undefinted, see above

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# (this isn't actually a valid shell script, just instructions for reference)
# To supplement the instructions in Assignment #1, Section 3.6, Native audio plugins.
# After downloading the "NativePluginCode.zip" from MyCourses,
# unpack the provided source code into: /Your/Unity/Project/Folder
# i.e., the *contents* of NativePluginCode (not the folder itself) 
# should be placed in /Your/Unity/Project/Folder. If you've already 
# started editing the project, e.g. made a "Move.cs" script, there
# is likely already "Assets" folder, so move the contents from the 
# unpacked /Assets folder to the already-existing /Assets folder.

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(
// Find *root* of *num* within *eps* precision
// https://en.wikipedia.org/wiki/Nth_root_algorithm
// eps is precision of converging answer
~rootOf = { | num, root, eps = 0.001, initFac = 2, post=true |
	var cnt = 0;
	var exp = 0;
	var two_exp = 1;
	var guess;
	var rt_recip = root.reciprocal;

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//  notice the endpoint drifts when shrinking window width
p = (1, 2 .. 1000).plot.plotMode_(\linear).domainSpecs_([1, 1000, \exp].asSpec).refresh;
p.domain_((1, 2 .. 1000)/2).refresh;
// note it's a bit hard to see without gridlines working properly! (this PR fixes that too)

// illustration of the original problem:
(
var xs, ys, rs = 0, plt2;
// Plotter defaults to a domain of 0 to size-1.
// Here we sample, in non-uniform intervals,

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/* Code to consider suggesting formatting "guidelines". Note that in all following examples, the first example is taken from existing ATK code, and following variations suggest "improvements" (or not!). */

/* Obj.new() or Obj() */

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HoaMatrix : AtkMatrix {

	var <directions;

	// call by subclass, only
	*newFromFile { |filePathOrName, searchExtensions = true, order = (AtkHoa.defaultOrder)|
		^super.new('fromFile', order).initFromFile(filePathOrName, searchExtensions)
	}

	initDirections { |argDirections|

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HoaMatrix : AtkMatrix {

	var <directions;

	// call by subclass, only
	*newFromFile { |filePathOrName, searchExtensions = true, order = (AtkHoa.defaultOrder)|
		^super.new('fromFile', order).initFromFile(filePathOrName, searchExtensions)
	}

	initDirections { |argDirections|