SvgTreeEngine.js

// Information for text geometry; We use this in order to print variable names as pure geometry, i.e. without text. Variable names are composed of characters for which
// the whole German alphabet is supported (including "äAöÖüÜßẞ"), but only the special characters "()_'\". The special command prefix is automatically printed as '\'
// (but probably shouldn't occur in variable names). All unsupported characters are omitted when printing the variable names. So it is recommended to use a validator to
// restrict the input, or to implement support for all characters which can occur in variable names. Geometries were taken from a pdf document created by LaTeX.
class SymbolInfo {
	constructor(width = 0, height = 0, preTransform = "", postTransform = "", path = "") {
		this.width = width;
		this.height = height;
		this.preTransform = preTransform;
		this.postTransform = postTransform;
		this.path = path;
	}
	toString() {
		return `<svg x="0" y="0" width="${width}" height="${height}" viewBox="0 0 ${width} ${height}" version="1.1" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" style="display: block;margin-left: auto;margin-right: auto;">\n<g fill="#000000" >\n<use xlink:href="#ref1" transform="${postTransform}" />\n</g>\n<defs>\n\t<path d="${path}" \tid="ref1"\n\ttransform="${preTransform}" />\n</defs>\n</svg>\n`;
	}
}

// They all have to be internally handled by "\\" + <name> in _textLinks(), and are executed when cmdPrefix + <name> occurs in a variable name.
const __specialCommandNames = ["_"];

// Should only contain keys of single symbols.
const __characterPathData = new Map([
	["\\", new SymbolInfo(7.0, 16, "scale(0.001,-0.001)", "matrix(10,0,0,10,0,13)", "M528.6,-372.7 c-19.8,0 -36.7,12.2 -42.8,32.1 L67.2,1098.5 c-1.5,3 -1.5,7.6 -1.5,12.2 0,21.4 16.8,42.8 42.8,42.8 18.3,0 36.6,-12.2 41.2,-32.1 L569.9,-317.7 c1.5,-3 1.5,-7.6 1.5,-12.2 0,-21.4 -16.8,-42.8 -42.8,-42.8 z")],
	["(", new SymbolInfo(7.0, 16, "scale(0.001,-0.001)", "matrix(10,0,0,10,0,13)", "M527.1,-372.7 C278.1,-204.6 151.3,88.6 151.3,389.6 c0,302.5 126.8,595.8 375.8,763.9 l29,-33.6 C348.3,942.6 270.4,664.6 270.4,389.6 c0,-273.5 77.9,-551.4 285.7,-728.7 l-29,-33.6 z")],
	[")", new SymbolInfo(7.0, 16, "scale(0.001,-0.001)", "matrix(10,0,0,10,0,13)", "M151.3,-372.7 l-29.1,33.6 C330,-161.8 407.9,116.1 407.9,389.6 c0,275 -77.9,553 -285.7,730.3 l29.1,33.6 C400.3,985.4 527.1,692.1 527.1,389.6 c0,-301 -126.8,-594.2 -375.8,-762.3 z")],
	["_", new SymbolInfo(7.5, 16, "scale(0.001,-0.001)", "matrix(10,0,0,10,0,13)", "M15.3,-235.2 c-12.2,12.2 -12.2,55 0,67.2 l711.9,0 c12.2,-12.2 12.2,-55 0,-67.2 z")],
	["'", new SymbolInfo(2.8, 16, "scale(0.001,-0.001)", "matrix(7,0,0,7,0,7.5)", "M182,58L93,90L298,804l218,10L182,58Z")],
	["0", new SymbolInfo(7.5, 16, "scale(0.001,-0.001)", "matrix(10,0,0,10,0,13)", "M380.4,0 c68.8,0 155.9,45.8 178.8,191 C576,288.8 576,392.6 576,507.2 c0,96.3 0,212.4 -15.3,297.9 C531.7,956.4 430.8,983.9 380.4,983.9 c-38.2,0 -152.8,-13.8 -181.8,-195.6 C186.4,705.8 186.4,605 186.4,507.2 c0,-90.1 0,-230.7 16.8,-322.3 C230.7,38.2 320.8,0 380.4,0 z m0,-33.5 C305.6,-33.5 194,-3 128.3,120.7 65.7,236.8 59.6,374.3 59.6,488.9 c0,122.2 7.6,241.4 56.5,346.8 62.7,142.1 174.2,181.8 265.8,181.8 64.2,0 189.5,-24.4 259.8,-171.1 C695.1,733.3 702.8,611.1 702.8,488.9 702.8,368.2 695.1,249 646.3,143.6 579,-1.4 462.9,-33.5 380.4,-33.5 z")],
	["1", new SymbolInfo(7.5, 16, "scale(0.001,-0.001)", "matrix(10,0,0,10,0,13)", "M145.1,0 l0,47.4 48.9,0 c137.5,0 142.1,18.3 142.1,73.3 l0,791.4 C256.7,872.4 166.5,872.4 136,872.4 l0,47.3 c48.9,0 183.3,0 278,97.8 35.2,0 35.2,-3.1 35.2,-39.7 l0,-852.5 c0,-56.5 4.6,-73.4 142.1,-73.4 l48.8,0 0,-47.3 -247.5,0 c-61.1,0 -194,0 -247.5,-4.6 z")],
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	["4", new SymbolInfo(7.5, 16, "scale(0.001,-0.001)", "matrix(10,0,0,10,0,13)", "M458.3,304 l0,569.9 L85.6,304 z M301,0 l0,47.4 32.1,0 c113,0 116.1,16.8 116.1,71.8 l0,132.9 L42.8,256.7 l0,47.3 469,716.6 c12.2,18.3 16.8,18.3 30.6,18.3 24.4,0 24.4,-9.2 24.4,-39.7 l0,-695.2 152.8,0 0,-47.3 -152.8,0 0,-132.9 c0,-55 3.1,-71.9 116.1,-71.9 l32.1,0 L715,4.6 l-207.8,0 C443.1,4.6 363.6,4.6 301,0 z")],
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	["6", new SymbolInfo(7.5, 16, "scale(0.001,-0.001)", "matrix(10,0,0,10,0,13)", "M383.5,9.2 c35.1,0 105.4,7.6 151.2,99.3 26,55 26,131.4 26,204.7 0,74.9 0,152.8 -27.5,209.3 -47.4,94.7 -117.6,94.7 -142.1,94.7 C253.6,617.2 204.7,464.4 204.7,345.3 c0,-27.5 0,-149.7 27.5,-221.5 9.2,-23 55,-114.6 151.3,-114.6 z m0,-42.7 C241.4,-33.5 64.2,74.9 64.2,482.8 c0,337.6 206.2,534.7 401.8,534.7 126.8,0 194,-73.3 194,-165 0,-59.6 -45.8,-73.3 -70.3,-73.3 -33.6,0 -70.3,22.9 -70.3,70.2 0,68.8 61.2,68.8 84.1,68.8 C569.9,970.1 505.7,979.3 469,979.3 c-77.9,0 -267.3,-55 -267.3,-441.5 l0,-36.7 c30.5,73.3 87.1,151.3 190.9,151.3 169.6,0 305.6,-146.7 305.6,-340.7 C698.2,110 553.1,-33.5 383.5,-33.5 z")],
	["7", new SymbolInfo(7.5, 16, "scale(0.001,-0.001)", "matrix(10,0,0,10,0,13)", "M339.2,-33.5 c-70.3,0 -70.3,68.6 -70.3,83.9 0,155.9 50.4,368.2 187.9,574.5 33.6,50.4 154.3,216.9 171.1,241.4 l-316.2,0 c-19.9,0 -139.1,0 -149.8,-9.2 C142.1,838.8 128.3,742.5 123.8,718.1 l-38.2,0 L136,1032.8 l38.2,0 c6.1,-29 9.1,-48.9 195.5,-48.9 l371.3,0 c0,-32.1 0,-35.1 -13.8,-53.5 L521,640.1 C453.8,545.4 432.4,414 426.3,378.9 414,296.4 409.4,212.4 409.4,128.3 l0,-77.9 c0,-15.3 0,-83.9 -70.2,-83.9 z")],
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// Should only contain keys which __characterPathData and __specialCommandNames do not contain, and which do not start with "\\" (which is internally used for special command detection).
const __specialSymbolPathData = new Map([
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	["rho", new SymbolInfo(7.5, 19, "scale(0.001,-0.001)", "matrix(10,0,0,10,0,13)", "M390,17c58,0,131,49,181,145c42,75,86,246,86,330c0,105,-49,150,-105,150C504,642,428,608,362,497C328,435,313,380,270,209c-4,-20,-12,-50,-12,-56C258,139,283,17,390,17ZM89,-329c-26,0,-43,18,-43,41c0,3,0,6,4,25L200,336c46,187,206,339,355,339c111,0,212,-87,212,-249C767,199,570,-16,391,-16C319,-16,270,24,240,86C199,-78,150,-283,142,-297c-3,-5,-21,-32,-53,-32Z")],
	["mu", new SymbolInfo(8.7, 19, "scale(0.001,-0.001)", "matrix(10,0,0,10,0,13)", "M89,-329c-26,0,-43,18,-43,41c0,3,0,6,4,25L270,620c14,54,57,55,62,55c26,0,44,-15,44,-41c0,-8,-15,-66,-23,-98L289,280C278,237,267,194,267,150C267,67,304,17,380,17c124,0,198,139,199,146c5,16,21,80,40,156l72,286c12,52,52,53,59,53c23,0,44,-13,44,-41c0,-9,-15,-67,-22,-102C765,492,750,434,746,411L703,246C691,193,672,121,672,87c0,-30,5,-70,46,-70c63,0,90,90,116,189c5,22,6,28,22,28c4,0,18,0,18,-16c0,-3,-20,-96,-46,-151C804,18,768,-16,715,-16C648,-16,591,26,578,95C541,52,481,-16,374,-16c-30,0,-99,6,-148,47C168,-204,148,-283,142,-297c-3,-5,-21,-32,-53,-32Z")],
	["lambda", new SymbolInfo(8.4, 19, "scale(0.001,-0.001)", "matrix(10,0,0,10,0,13)", "M127,-19C102,-19,81,-1,81,24c0,20,9,29,27,48L530,490L382,906c-38,104,-49,113,-99,122c-2,0,-14,3,-14,15c0,17,20,17,27,17c72,0,155,-20,187,-108L794,83C805,52,814,29,830,12c4,-6,7,-9,7,-13c0,-4,-1,-13,-17,-15H787c-41,0,-57,0,-81,33C681,52,608,286,545,446L177,12C165,-2,151,-19,127,-19Z")],
	["kappa", new SymbolInfo(8.8, 19, "scale(0.001,-0.001)", "matrix(10,0,0,10,0,13)", "M128,-16C105,-16,84,-2,84,24c0,11,0,14,6,36L231,620c13,55,56,55,61,55c26,0,44,-15,44,-41c0,-8,-18,-79,-27,-119C301,489,283,413,278,396c55,18,92,41,196,130c67,56,157,132,250,132c55,0,61,-39,61,-53c0,-38,-33,-82,-82,-82c-48,0,-58,35,-58,53c0,8,4,26,7,34C591,584,547,547,477,487C435,452,387,411,336,383c86,-3,297,-13,297,-157c0,-17,-5,-37,-8,-50C619,150,613,113,613,90c0,-53,16,-73,49,-73c68,0,103,84,132,189c5,22,7,28,22,28c4,0,18,0,18,-16c0,-3,-18,-91,-56,-155C747,11,707,-16,658,-16C579,-16,518,44,518,134c0,13,1,29,8,54c3,15,3,23,3,34c0,99,-133,125,-262,129C202,95,211,124,196,69C183,20,174,-16,128,-16Z")],
]);

function trim(num) {
	let s = FctHelper.round(num, 6);
	while (s.endsWith('0')) {
		s = s.slice(0, -1);
		if (s.endsWith('.')) {
			s = s.slice(0, -1);
			break;
		}
	}
	return s;
}

class SvgTreeEngine {
	// Operators for propositional modal logic (alethic + deontic)
	static operatorSvgData = new Map([
			["and", `\t\t\t\t<svg style="display:block" width="14" height="18" viewBox="0 0 14 18">\n\t\t\t\t\t<path d="M3.668 12.571c-.199 0-.351-.184-.351-.352 0-.061.015-.107.046-.168l3.315-6.63a.335.335 0 0 1 .305-.199.34.34 0 0 1 .321.199l3.315 6.63a.343.343 0 0 1 .046.168c0 .168-.152.352-.351.352a.357.357 0 0 1-.321-.199l-3.01-6.004-2.994 6.004a.357.357 0 0 1-.321.199z"/>\n\t\t\t\t</svg>\n`],
			["app", `\t\t\t\t<svg style="display:block" width="20" height="18" viewBox="0 0 20 18">\n\t\t\t\t\t<path d="M10.428,3.947 a6.34,6.34 0 0,0 -4.488,1.857 c-0.104,0.096 -0.104,0.256 0,0.352 l4.305,4.305 c0.048,0.056 0.112,0.078 0.176,0.078 s0.128,-0.022 0.176,-0.078 l4.32,-4.305 a0.25,0.25 0 0,0 0,-0.352 c-1.192,-1.184 -2.816,-1.857 -4.488,-1.857 z m0,0.488 a5.83,5.83 0 0,1 3.969,1.553 l-3.969,3.967 -3.977,-3.967 c1.08,-1.008 2.497,-1.553 3.977,-1.553 z"/>\n\t\t\t\t\t<path d="M4.016,9.277 c-0.736,0 -1.736,0.661 -1.736,2.041 s1,2.041 1.736,2.041 h7.207 5.783 c-0.49,0.7 -1.232,1.46 -1.232,1.83 0,0.21 0.12,0.35 0.246,0.35 0.077,0 0.139,-0.049 0.195,-0.139 0.567,-0.96 1.273,-1.831 2.148,-2.061 0.119,-0.03 0.203,-0.17 0.203,-0.34 0,-0.18 -0.084,-0.32 -0.203,-0.35 -0.875,-0.23 -1.581,-1.101 -2.148,-2.061 -0.056,-0.09 -0.118,-0.141 -0.195,-0.141 -0.126,0 -0.246,0.142 -0.246,0.352 0,0.36 0.721,1.1 1.232,1.85 h-5.783 H4.08 c-1.04,-0.069 -1.312,-0.81 -1.312,-1.334 0,-0.65 0.393,-1.287 1.297,-1.344 0.256,-0.011 0.256,-0.331 0.256,-0.342 0,-0.353 -0.241,-0.354 -0.305,-0.354 z"/>\n\t\t\t\t</svg>\n`],
			["bot", `\t\t\t\t<svg style="display:block" width="11" height="18" viewBox="0 0 11 18">\n\t\t\t\t\t<path d="M2.868 13.35a.354.354 0 0 1-.351-.35c0-.199.168-.351.351-.351h2.628V5.193c0-.199.153-.351.351-.351.184 0 .352.152.352.351v7.456h2.612c.199 0 .352.152.352.351 0 .198-.153.35-.352.35z"/>\n\t\t\t\t</svg>\n`],
			["com", `\t\t\t\t<svg style="display:block" width="20" height="18" viewBox="0 0 20 18">\n\t\t\t\t\t<path d="M10.428,3.484 c-2.19,0 -3.875,1.787 -3.875,3.875 0,2.184 1.793,3.865 3.875,3.865 2.19,0 3.877,-1.783 3.877,-3.865 0,-2.19 -1.789,-3.875 -3.877,-3.875 z m0,0.42 c1.962,0 3.457,1.595 3.457,3.455 0,1.956 -1.597,3.445 -3.457,3.445 -1.962,0 -3.455,-1.591 -3.455,-3.445 0,-1.962 1.601,-3.455 3.455,-3.455 z"/>\n\t\t\t\t\t<path d="M4.016,9.277 c-0.736,0 -1.736,0.661 -1.736,2.041 s1,2.041 1.736,2.041 h7.207 5.783 c-0.49,0.7 -1.232,1.46 -1.232,1.83 0,0.21 0.12,0.35 0.246,0.35 0.077,0 0.139,-0.049 0.195,-0.139 0.567,-0.96 1.273,-1.831 2.148,-2.061 0.119,-0.03 0.203,-0.17 0.203,-0.34 0,-0.18 -0.084,-0.32 -0.203,-0.35 -0.875,-0.23 -1.581,-1.101 -2.148,-2.061 -0.056,-0.09 -0.118,-0.141 -0.195,-0.141 -0.126,0 -0.246,0.142 -0.246,0.352 0,0.36 0.721,1.1 1.232,1.85 h-5.783 H4.08 c-1.04,-0.069 -1.312,-0.81 -1.312,-1.334 0,-0.65 0.393,-1.287 1.297,-1.344 0.256,-0.011 0.256,-0.331 0.256,-0.342 0,-0.353 -0.241,-0.354 -0.305,-0.354 z"/>\n\t\t\t\t</svg>\n`],
			["equiv", `\t\t\t\t<svg style="display:block" width="19" height="18" viewBox="0 0 19 18">\n\t\t\t\t\t<path d="M6.953 11.54a.348.348 0 0 1-.275-.137c-.81-.963-1.818-1.834-3.071-2.063a.343.343 0 0 1-.29-.336c0-.183.122-.321.29-.351 1.253-.229 2.261-1.1 3.071-2.063a.348.348 0 0 1 .275-.137c.183 0 .351.137.351.351 0 .367-1.054 1.131-1.757 1.849h8.464c-.718-.749-1.757-1.497-1.757-1.849 0-.214.168-.351.352-.351.107 0 .213.046.275.137.825.963 1.818 1.834 3.07 2.063.168.03.291.168.291.351a.344.344 0 0 1-.291.336c-1.252.229-2.245 1.1-3.07 2.063a.329.329 0 0 1-.275.137.345.345 0 0 1-.352-.351c0-.367 1.07-1.131 1.757-1.833H5.547c.734.733 1.757 1.481 1.757 1.833a.345.345 0 0 1-.351.351z"/>\n\t\t\t\t</svg>\n`],
			["implied", `\t\t\t\t<svg style="display:block" width="17" height="18" viewBox="0 0 17 18">\n\t\t\t\t\t<path d="M6.953 11.54a.348.348 0 0 1-.275-.137c-.81-.963-1.818-1.834-3.071-2.063a.343.343 0 0 1-.29-.336c0-.183.122-.321.29-.351 1.253-.229 2.261-1.1 3.071-2.063a.348.348 0 0 1 .275-.137c.183 0 .351.137.351.351 0 .367-1.054 1.131-1.757 1.849h8.311c.199 0 .352.153.352.351a.356.356 0 0 1-.352.352H5.547c.734.733 1.757 1.481 1.757 1.833a.345.345 0 0 1-.351.351z"/>\n\t\t\t\t</svg>\n`],
			["imply", `\t\t\t\t<svg style="display:block" width="17" height="18" viewBox="0 0 17 18">\n\t\t\t\t\t<path d="M10.574 11.54a.345.345 0 0 1-.352-.351c0-.367 1.054-1.131 1.757-1.833H3.668a.367.367 0 0 1-.351-.352c0-.198.168-.351.351-.351h8.311c-.733-.749-1.757-1.497-1.757-1.849 0-.214.168-.351.352-.351a.35.35 0 0 1 .275.137c.809.963 1.818 1.834 3.07 2.063.169.03.291.168.291.351a.343.343 0 0 1-.291.336c-1.252.229-2.261 1.1-3.07 2.063a.35.35 0 0 1-.275.137z"/>\n\t\t\t\t</svg>\n`],
			["nand", `\t\t\t\t<svg style="display:block" width="11" height="18" viewBox="0 0 11 18">\n\t\t\t\t\t<path d="M5.853 15.306a.366.366 0 0 1-.352-.351V5.117c-.733.733-1.482 1.757-1.833 1.757a.345.345 0 0 1-.351-.352c0-.107.046-.198.122-.275.978-.81 1.849-1.818 2.078-3.071a.343.343 0 0 1 .336-.29c.183 0 .321.122.351.29.229 1.253 1.085 2.261 2.063 3.071a.35.35 0 0 1 .137.275.359.359 0 0 1-.366.352c-.352 0-1.116-1.055-1.834-1.757v9.838a.355.355 0 0 1-.351.351z"/>\n\t\t\t\t</svg>\n`],
			["nece", `\t\t\t\t<svg style="display:block" width="16" height="18" viewBox="0 0 16 18">\n\t\t\t\t\t<path d="M13.303 14.13V4.062H3.235V14.13zm-10.42.702a.345.345 0 0 1-.351-.351V3.711c0-.199.153-.351.351-.351h10.771c.214 0 .352.152.352.351v10.77a.337.337 0 0 1-.352.351z"/>\n\t\t\t\t</svg>\n`],
			["nimplied", `\t\t\t\t<svg style="display:block" width="17" height="18" viewBox="0 0 17 18">\n\t\t\t\t\t<path d="M8.664 12.503c-.168 0-.26-.168-.214-.306l1.039-2.841H5.547c.734.733 1.757 1.481 1.757 1.833a.345.345 0 0 1-.351.351.348.348 0 0 1-.275-.137c-.81-.963-1.818-1.834-3.071-2.063a.343.343 0 0 1-.29-.336c0-.183.122-.321.29-.351 1.253-.229 2.261-1.1 3.071-2.063a.348.348 0 0 1 .275-.137c.183 0 .351.137.351.351 0 .367-1.054 1.131-1.757 1.849h4.202l1.084-3.01a.23.23 0 0 1 .214-.153c.168 0 .275.168.214.306l-1.039 2.857h3.636c.199 0 .352.153.352.351a.356.356 0 0 1-.352.352h-3.88l-1.1 2.994a.23.23 0 0 1-.214.153z"/>\n\t\t\t\t</svg>\n`],
			["nimply", `\t\t\t\t<svg style="display:block" width="17" height="18" viewBox="0 0 17 18">\n\t\t\t\t\t<path d="M6.479 12.503c-.168 0-.275-.168-.214-.306l1.039-2.841H3.668a.367.367 0 0 1-.351-.352c0-.198.168-.351.351-.351h3.881l1.1-3.01a.229.229 0 0 1 .214-.153c.168 0 .275.168.213.306L8.038 8.653h3.941c-.733-.749-1.757-1.497-1.757-1.849 0-.214.168-.351.352-.351a.35.35 0 0 1 .275.137c.809.963 1.818 1.834 3.07 2.063.169.03.291.168.291.351a.343.343 0 0 1-.291.336c-1.252.229-2.261 1.1-3.07 2.063a.35.35 0 0 1-.275.137.345.345 0 0 1-.352-.351c0-.367 1.054-1.131 1.757-1.833H7.793l-1.1 2.994a.229.229 0 0 1-.214.153z"/>\n\t\t\t\t</svg>\n`],
			["nor", `\t\t\t\t<svg style="display:block" width="11" height="18" viewBox="0 0 11 18">\n\t\t\t\t\t<path d="M5.853 15.306a.343.343 0 0 1-.336-.29c-.229-1.253-1.1-2.26-2.078-3.07a.385.385 0 0 1-.122-.275c0-.184.137-.352.351-.352.367 0 1.131 1.055 1.833 1.756V3.237c0-.183.168-.351.352-.351.198 0 .351.168.351.351v9.838c.749-.732 1.482-1.756 1.834-1.756.213 0 .366.168.366.352a.35.35 0 0 1-.137.275c-.978.81-1.834 1.817-2.063 3.07a.347.347 0 0 1-.351.29z"/>\n\t\t\t\t</svg>\n`],
			["not", `\t\t\t\t<svg style="display:block" width="12" height="18" viewBox="0 0 12 18">\n\t\t\t\t\t<path d="M9.514 11.975a.345.345 0 0 1-.351-.351V9.256H2.868a.367.367 0 0 1-.351-.352c0-.198.168-.351.351-.351h6.646c.199 0 .351.137.351.351v2.72a.355.355 0 0 1-.351.351z"/>\n\t\t\t\t</svg>\n`],
			["obli", `\t\t\t\t<svg style="display:block" width="17" height="18" viewBox="0 0 17 18">\n\t\t\t\t\t<path d="M8.979 14.848c3.102 0 5.76-2.49 5.76-5.744 0-3.101-2.49-5.76-5.76-5.76-3.086 0-5.76 2.491-5.76 5.76 0 3.086 2.491 5.744 5.76 5.744zm0 .702c-3.468 0-6.462-2.81-6.462-6.446 0-3.483 2.811-6.462 6.462-6.462 3.484 0 6.463 2.811 6.463 6.462 0 3.468-2.811 6.446-6.463 6.446z"/>\n\t\t\t\t</svg>\n`],
			["or", `\t\t\t\t<svg style="display:block" width="14" height="18" viewBox="0 0 14 18">\n\t\t\t\t\t<path d="M6.983 12.571a.335.335 0 0 1-.305-.199l-3.315-6.63a.343.343 0 0 1-.046-.168c0-.168.152-.352.351-.352.138 0 .26.077.321.199l2.994 6.004 3.01-6.004a.357.357 0 0 1 .321-.199c.199 0 .351.184.351.352a.343.343 0 0 1-.046.168l-3.315 6.63a.34.34 0 0 1-.321.199z"/>\n\t\t\t\t</svg>\n`],
			["perm", `\t\t\t\t<svg style="display:block" width="14" height="18" viewBox="0 0 14 18">\n\t\t\t\t\t<path d="m7.008 12.472 4.966-4.965a7.324 7.324 0 0 0-4.966-1.94c-1.848 0-3.62.687-4.965 1.94l4.965 4.965zm-.007.733a.313.313 0 0 1-.222-.092L1.387 7.721a.314.314 0 0 1 0-.443 7.964 7.964 0 0 1 5.621-2.322 7.96 7.96 0 0 1 5.607 2.322.312.312 0 0 1 0 .443l-5.393 5.392a.312.312 0 0 1-.221.092z"/>\n\t\t\t\t</svg>\n`],
			["poss", `\t\t\t\t<svg style="display:block" width="15" height="18" viewBox="0 0 15 18">\n\t\t\t\t\t<path d="m7.971 13.671 4.568-4.567-4.568-4.583-4.583 4.583 4.583 4.567zm0 .856a.36.36 0 0 1-.26-.107L2.639 9.349a.353.353 0 0 1 0-.505l5.072-5.072a.35.35 0 0 1 .504 0l5.073 5.072a.351.351 0 0 1 0 .505L8.215 14.42a.35.35 0 0 1-.244.107z"/>\n\t\t\t\t</svg>\n`],
			["top", `\t\t\t\t<svg style="display:block" width="11" height="18" viewBox="0 0 11 18">\n\t\t\t\t\t<path d="M5.847 13.35a.345.345 0 0 1-.351-.35V5.544H2.868a.355.355 0 0 1-.351-.351c0-.199.168-.351.351-.351h5.943c.199 0 .352.152.352.351a.345.345 0 0 1-.352.351H6.199V13c0 .198-.168.35-.352.35z"/>\n\t\t\t\t</svg>\n`],
			["xor", `\t\t\t\t<svg style="display:block" width="19" height="18" viewBox="0 0 19 18">\n\t\t\t\t\t<path d="M8.588 12.503c-.169 0-.26-.168-.214-.306l1.039-2.841H5.547c.734.733 1.757 1.481 1.757 1.833a.345.345 0 0 1-.351.351.348.348 0 0 1-.275-.137c-.81-.963-1.818-1.834-3.071-2.063a.343.343 0 0 1-.29-.336c0-.183.122-.321.29-.351 1.253-.229 2.261-1.1 3.071-2.063a.348.348 0 0 1 .275-.137c.183 0 .351.137.351.351 0 .367-1.054 1.131-1.757 1.849h4.125l1.085-3.01a.23.23 0 0 1 .214-.153c.183 0 .275.168.214.306l-1.024 2.857h3.85c-.718-.749-1.757-1.497-1.757-1.849 0-.214.168-.351.352-.351.107 0 .213.046.275.137.825.963 1.818 1.834 3.07 2.063.168.03.291.168.291.351a.344.344 0 0 1-.291.336c-1.252.229-2.245 1.1-3.07 2.063a.329.329 0 0 1-.275.137.345.345 0 0 1-.352-.351c0-.367 1.07-1.131 1.757-1.833h-4.11l-1.1 2.994a.228.228 0 0 1-.213.153z"/>\n\t\t\t\t</svg>\n`]
	]);

	// Construction
	constructor(tree = null, svgData = null, cmdPrefix = "", execute = true) {
		this._svgFile = { value: null }; // last result
		this._tree = tree;
		this._layoutTreeEngine = new LayoutTreeEngine();

		// settings
		this._avoidOverlaps = false;
		this._viewBoxOffsetX = 2.5;
		this._viewBoxOffsetY = 2.5;
		this._symbolXShift = -0.5;
		this._symbolYShift = 0.0;
		this._symbolScale = 0.21;
		this._webColor_background = "#f0f0f0";
		this._webColor_edgeStroke = "#000";
		this._svgNumber_edgeStrokeWidth = "0.15";
		this._webColor_opVertexFill = "#ccf";
		this._webColor_opVertexStroke = "#4040ff";
		this._webColor_opVertexFont = "#000";
		this._svgNumber_opVertexStrokeWidth = "0.2";
		this._webColor_varVertexFill = "#ccc";
		this._webColor_varVertexStroke = "#404040";
		this._webColor_varVertexFont = "#000";
		this._svgNumber_varVertexStrokeWidth = "0.2";
		this._svgNumber_vertexRadius = "2.5";
		this._layoutTree_minHorizontalSpace = 10.0;
		this._layoutTree_minVerticalSpace = 10.0;

		// Apply layout tree settings
		this._layoutTreeEngine.setMinHorizontalSpace(this._layoutTree_minHorizontalSpace);
		this._layoutTreeEngine.setMinVerticalSpace(this._layoutTree_minVerticalSpace);

		if (execute && tree && svgData) {
			this.execute(tree, svgData, cmdPrefix);
		}
	}

	// Getters & setters
	getSvgFile() {
		return this._svgFile.value;
	}
	getTree() {
		return this._tree;
	}
	setTree(value) {
		this._tree = value;
	}
	getLayoutTreeEngine() {
		return this._layoutTreeEngine;
	}
	setLayoutTreeEngine(value) {
		this._layoutTreeEngine = value;
	}
	getAvoidOverlaps() {
		return this._avoidOverlaps;
	}
	setAvoidOverlaps(value) {
		this._avoidOverlaps = value;
	}
	getViewBoxOffsetX() {
		return this._viewBoxOffsetX;
	}
	setViewBoxOffsetX(value) {
		this._viewBoxOffsetX = value;
	}
	getViewBoxOffsetY() {
		return this._viewBoxOffsetY;
	}
	setViewBoxOffsetY(value) {
		this._viewBoxOffsetY = value;
	}
	getSymbolXShift() {
		return this._symbolXShift;
	}
	setSymbolXShift(value) {
		this._symbolXShift = value;
	}
	getSymbolYShift() {
		return this._symbolYShift;
	}
	setSymbolYShift(value) {
		this._symbolYShift = value;
	}
	getSymbolScale() {
		return this._symbolScale;
	}
	setSymbolScale(value) {
		this._symbolScale = value;
	}
	getWebColor_background() {
		return this._webColor_background;
	}
	setWebColor_background(value) {
		this._webColor_background = value;
	}
	getWebColor_edgeStroke() {
		return this._webColor_edgeStroke;
	}
	setWebColor_edgeStroke(value) {
		this._webColor_edgeStroke = value;
	}
	getSvgNumber_edgeStrokeWidth() {
		return this._svgNumber_edgeStrokeWidth;
	}
	setSvgNumber_edgeStrokeWidth(value) {
		this._svgNumber_edgeStrokeWidth = value;
	}
	getWebColor_opVertexFill() {
		return this._webColor_opVertexFill;
	}
	setWebColor_opVertexFill(value) {
		this._webColor_opVertexFill = value;
	}
	getWebColor_opVertexStroke() {
		return this._webColor_opVertexStroke;
	}
	setWebColor_opVertexStroke(value) {
		this._webColor_opVertexStroke = value;
	}
	getWebColor_opVertexFont() {
		return this._webColor_opVertexFont;
	}
	setWebColor_opVertexFont(value) {
		this._webColor_opVertexFont = value;
	}
	getSvgNumber_opVertexStrokeWidth() {
		return this._svgNumber_opVertexStrokeWidth;
	}
	setSvgNumber_opVertexStrokeWidth(value) {
		this._svgNumber_opVertexStrokeWidth = value;
	}
	getWebColor_varVertexFill() {
		return this._webColor_varVertexFill;
	}
	setWebColor_varVertexFill(value) {
		this._webColor_varVertexFill = value;
	}
	getWebColor_varVertexStroke() {
		return this._webColor_varVertexStroke;
	}
	setWebColor_varVertexStroke(value) {
		this._webColor_varVertexStroke = value;
	}
	getWebColor_varVertexFont() {
		return this._webColor_varVertexFont;
	}
	setWebColor_varVertexFont(value) {
		this._webColor_varVertexFont = value;
	}
	getSvgNumber_varVertexStrokeWidth() {
		return this._svgNumber_varVertexStrokeWidth;
	}
	setSvgNumber_varVertexStrokeWidth(value) {
		this._svgNumber_varVertexStrokeWidth = value;
	}
	getSvgNumber_vertexRadius() {
		return this._svgNumber_vertexRadius;
	}
	setSvgNumber_vertexRadius(value) {
		this._svgNumber_vertexRadius = value;
	}
	getLayoutTree_minHorizontalSpace() {
		return this._layoutTree_minHorizontalSpace;
	}
	setLayoutTree_minHorizontalSpace(value) {
		this._layoutTree_minHorizontalSpace = value;
	}
	getLayoutTree_minVerticalSpace() {
		return this._layoutTree_minVerticalSpace;
	}
	setLayoutTree_minVerticalSpace(value) {
		this._layoutTree_minVerticalSpace = value;
	}

	// Svg creation functions
	constructLayoutAndSvgTree(out_svgFile, layoutTreeEngine, tree, svgData, cmdPrefix, viewBoxOffsetX, viewBoxOffsetY, webColor_background, webColor_edgeStroke, svgNumber_edgeStrokeWidth, webColor_opVertexFill, webColor_opVertexStroke, webColor_opVertexFont, svgNumber_opVertexStrokeWidth, webColor_varVertexFill, webColor_varVertexStroke, webColor_varVertexFont, svgNumber_varVertexStrokeWidth, svgNumber_vertexRadius, symbolXShift, symbolYShift, symbolScale, avoidOverlaps) {
		// Create layout tree
		layoutTreeEngine.reset();
		const nodeVec = [];
		TreeNodeAdapter.createLayoutTreeVec_outVec(nodeVec, tree, TreeNodeAdapter.convertFuncDefault);
		layoutTreeEngine.setRoot(nodeVec[0]);
		layoutTreeEngine.addNodes(nodeVec);
		layoutTreeEngine.execute();

		// Create svg tree
		this.constructSvgTree(out_svgFile, layoutTreeEngine, svgData, cmdPrefix, viewBoxOffsetX, viewBoxOffsetY, webColor_background, webColor_edgeStroke, svgNumber_edgeStrokeWidth, webColor_opVertexFill, webColor_opVertexStroke, webColor_opVertexFont, svgNumber_opVertexStrokeWidth, webColor_varVertexFill, webColor_varVertexStroke, webColor_varVertexFont, svgNumber_varVertexStrokeWidth, svgNumber_vertexRadius, symbolXShift, symbolYShift, symbolScale, avoidOverlaps);
	}

	constructSvgTree(out_svgFile, layoutTreeEngine, svgData, cmdPrefix, viewBoxOffsetX, viewBoxOffsetY, webColor_background, webColor_edgeStroke, svgNumber_edgeStrokeWidth, webColor_opVertexFill, webColor_opVertexStroke, webColor_opVertexFont, svgNumber_opVertexStrokeWidth, webColor_varVertexFill, webColor_varVertexStroke, webColor_varVertexFont, svgNumber_varVertexStrokeWidth, svgNumber_vertexRadius, symbolXShift, symbolYShift, symbolScale, avoidOverlaps) {
		// Start creating new svg with specified viewBox.
		const bounds = layoutTreeEngine.bounds();
		const viewBox_x = trim(bounds.x - 2 * parseFloat(svgNumber_vertexRadius));
		const viewBox_y = trim(bounds.y - 2 * parseFloat(svgNumber_vertexRadius));
		const viewBox_w = trim(bounds.width + 2 * viewBoxOffsetX);
		const viewBox_h = trim(bounds.height + 2 * viewBoxOffsetY);
		out_svgFile.value = `<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" version="1.1" width="${5 * viewBox_w}px" height="${5 * viewBox_h}px" viewBox="${viewBox_x} ${viewBox_y} ${viewBox_w} ${viewBox_h}">\n\t<rect x="${viewBox_x}" y="${viewBox_y}" width="100%" height="100%" fill="${webColor_background}"/>\n`;
		let useElements = "";

		// Create all edges
		const nodeMap = layoutTreeEngine.getNodes();
		for (const node of nodeMap) {
			for (const childNode of node.getChildren()) {
				let vertexRadius;
				if (avoidOverlaps)
					vertexRadius = parseFloat(svgNumber_vertexRadius);
				const edge = `\t<line style="fill:none; stroke:${webColor_edgeStroke}; stroke-width:${svgNumber_edgeStrokeWidth}" x1="${trim(node.getX() + viewBoxOffsetX)}" y1="${trim(avoidOverlaps ? node.getY() + viewBoxOffsetY + vertexRadius : node.getY() + viewBoxOffsetY)}" x2="${trim(childNode.getX() + viewBoxOffsetX)}" y2="${trim(avoidOverlaps ? childNode.getY() + viewBoxOffsetY - vertexRadius : childNode.getY() + viewBoxOffsetY)}"/>\n`;
				out_svgFile.value += edge; // add edge to svg file
			}
		}

		// Create a circle to be used for operator vertices.
		const vertexCircle = `\t\t<circle id="vertexCircle" style="fill:${webColor_opVertexFill}; stroke:${webColor_opVertexStroke}; stroke-width:${svgNumber_opVertexStrokeWidth}" cx="0" cy="0" r="${svgNumber_vertexRadius}"/>\n`;

		// Create a square to be used for variable vertices.
		const vertexSquare = `\t\t<rect id="vertexSquare" style="fill:${webColor_varVertexFill}; stroke:${webColor_varVertexStroke}; stroke-width:${svgNumber_varVertexStrokeWidth}" x="-${svgNumber_vertexRadius}" y="-${svgNumber_vertexRadius}" width="${trim(2 * parseFloat(svgNumber_vertexRadius))}" height="${trim(2 * parseFloat(svgNumber_vertexRadius))}"/>\n`;

		// Start creating vertex library.
		let vertexLibrary = `\t<defs id="vertexLibrary">\n` + vertexCircle + vertexSquare;

		// Add all required symbol vertices to vertex library, and create links to vertices
		const usedKeys = [];
		const usedNameSymbols = [];
		for (const nodePtr of nodeMap) {
			const nodeLabel = nodePtr.getValue().getValue();
			const cmdPrefixPos = nodeLabel.indexOf(cmdPrefix) === 0 ? 0 : -1;
			let key;
			if (cmdPrefixPos === 0)
				key = nodeLabel.substring(cmdPrefix.length);
			if (cmdPrefixPos === 0 && svgData.has(key)) { // The node label starts with the command prefix, and the command addresses an existing symbol.

				// 1. Add link
				useElements += this._operatorLink(key, nodePtr.getX() + viewBoxOffsetX, nodePtr.getY() + viewBoxOffsetY);

				// 2. Add symbol to vertex library (if not present yet)
				if (!usedKeys.includes(key)) { // the symbol was not already mentioned
					usedKeys.push(key);
					vertexLibrary += this._operatorForVertexLibrary(key, "vertexCircle", svgData, symbolXShift, symbolYShift, symbolScale, webColor_opVertexFont);
				}
			} else {

				// 1. Get variable name as array
				const variableName = [];
				for (let i = 0, length = nodeLabel.length; i < length; i++)
					if (nodeLabel.substring(i, i + cmdPrefix.length).indexOf(cmdPrefix) === 0) { // the current symbol in nodeLabel is cmdPrefix
						i += cmdPrefix.length;
						// Is the cmdPrefix followed by a special symbol?
						let noSpecialSymbol = true;
						const restStr = nodeLabel.substring(i);
						for (const specialCmdName of __specialCommandNames)
							if (restStr.indexOf(specialCmdName) === 0) { // Are we at a cmdPrefix + __specialCommandNames[...] ? (Which is used for base notation)
								i += specialCmdName.length;
								variableName.push("\\" + specialCmdName);
								noSpecialSymbol = false;
								break;
							}
						if (noSpecialSymbol) // Found no special command, look for special symbols.
							for (const [keySym] of __specialSymbolPathData.entries())
								if (restStr.indexOf(keySym) === 0) { // Rest string begins with a special symbol name?
									i += keySym.length;
									variableName.push(keySym);
									noSpecialSymbol = false;
									break;
								}
						if (noSpecialSymbol)
							variableName.push("\\"); // any unused cmdPrefix is printed as backslash
						i--; // This will be done by the loop.
					} else {
						const symbol = nodeLabel.substring(i, i + 1);
						if (__characterPathData.has(symbol)) // Only add symbol if we can display it.
							variableName.push(symbol);
						else
							console.error(`Could not display symbol "${symbol}".`);
					}

				// 2. Add link
				useElements += this._textLinks(variableName, "vertexSquare", nodePtr.getX() + viewBoxOffsetX, nodePtr.getY() + viewBoxOffsetY, symbolScale, svgNumber_vertexRadius, svgNumber_varVertexStrokeWidth);

				// 3. Add symbols to vertex library (if not present yet)
				for (const symbol of variableName)
					if (!usedNameSymbols.includes(symbol) && symbol !== "\\_") { // The symbol was not already mentioned, and its not a special command.
						usedNameSymbols.push(symbol);
						vertexLibrary += this._symbolForVertexLibrary(symbol, svgData, symbolXShift, symbolYShift, symbolScale, webColor_varVertexFont);
					}
			}
		}
		out_svgFile.value += vertexLibrary + "\t</defs>\n" + useElements + `</svg>\n`;
	}

	// Svg creation helper functions
	_operatorForVertexLibrary(id, destinationVertexId, svgData, symbolXShift, symbolYShift, symbolScale, webColor_opVertexFont) {
		let vertex = `\t\t<g id="${id}">\n\t\t\t<use xlink:href="#${destinationVertexId}"/>\n\t\t\t<g fill="${webColor_opVertexFont}" transform="`;
		const getWH = (width) => {
			let pos = svgChild.indexOf(width ? `width="` : `height="`);
			if (pos === -1)
				throw `missing ${width ? "width" : "height"} from SVG`;
			pos += (width ? 7 : 8);
			const end = svgChild.indexOf(`"`, pos);
			if (end === -1)
				throw `missing '"' after ${width ? "width" : "height"} from SVG`;
			return parseInt(svgChild.substring(pos, end));
		};

		// Load the actual svg, describing the symbol
		let svgChild = svgData.get(id);
		let shiftX = (-getWH(true) / 2) + symbolXShift;
		let shiftY = (-getWH(false) / 2) + symbolYShift;
		vertex += `scale(${symbolScale}) translate(${trim(shiftX)},${trim(shiftY)})">\n${svgChild}\t\t\t</g>\n\t\t</g>\n`;
		return vertex;
	}

	_operatorLink(destinationId, relPosX, relPosY) {
		return `\t<use transform="translate(${trim(relPosX)},${trim(relPosY)})" xlink:href="#${destinationId}"/>\n`;
	}

	_symbolForVertexLibrary(id, svgData, symbolXShift, symbolYShift, symbolScale, webColor_varVertexFont) {
		const regularSymbolInfo = __characterPathData.get(id);
		let symbolInfo = regularSymbolInfo !== undefined ? regularSymbolInfo : __specialSymbolPathData.get(id);
		let shiftY = (-symbolInfo.height / 2) + symbolYShift;
		return `\t\t<g id="var_${id}" fill="${webColor_varVertexFont}">\n\t\t\t<g transform="scale(${symbolScale}) translate(0,${trim(shiftY)}) ${symbolInfo.postTransform}">\n\t\t\t\t<path transform="${symbolInfo.preTransform}" d="${symbolInfo.path}"/>\n\t\t\t</g>\n\t\t</g>\n`;
	}

	_textLinks(variableName, destinationVertexId, relPosX, relPosY, symbolScale, svgNumber_vertexRadius, svgNumber_varVertexStrokeWidth) {
		// 1. Create vertex
		let svg = `\t<use transform="translate(${trim(relPosX)},${trim(relPosY)})" xlink:href="#${destinationVertexId}"/>\n`;

		// 2. Create font inside of vertex
		const width = (parseFloat(svgNumber_vertexRadius) - parseFloat(svgNumber_varVertexStrokeWidth)) * 2;
		let trueWidth = 0.0;
		let nextBaseNotation = false;
		for (const symbol of variableName) {
			if (symbol.length === 1 || !symbol.startsWith("\\")) {
				const regularSymbolInfo = __characterPathData.get(symbol);
				trueWidth += (regularSymbolInfo !== undefined ? regularSymbolInfo.width : __specialSymbolPathData.get(symbol).width) * symbolScale * (nextBaseNotation ? 0.7 : 1.0);
				nextBaseNotation = false;
			} else {
				if (symbol === "\\_")
					nextBaseNotation = true;
				// NOTE: More special commands can be added here
			}
		}
		let shrinkFactor = 1.0;
		if (trueWidth > width)
			shrinkFactor = width / trueWidth;
		let offsetX = 0.0;
		const leftShift = Math.min(trueWidth / 2, width / 2);
		nextBaseNotation = false;
		for (const symbol of variableName)
			if (symbol.length === 1 || !symbol.startsWith("\\")) { // If we're not at a special command, i.e. symbol.length() == 1 or symbol does not start with "\\".
				const regularSymbolInfo = __characterPathData.get(symbol);
				const useSpecialSymbols = regularSymbolInfo === undefined;
				let transformStr = `translate(${trim(relPosX + offsetX - leftShift)},${trim(relPosY)})`;
				if (trueWidth > width)
					transformStr += ` scale(${trim(shrinkFactor)})`;
				if (nextBaseNotation)
					transformStr += ` scale(0.7) translate(0,${trim((useSpecialSymbols ? __specialSymbolPathData.get(symbol).height : regularSymbolInfo.height) * symbolScale * 0.42)})`;
				svg += `\t<use transform="${transformStr}" xlink:href="#var_${symbol}"/>\n`;

				offsetX += (useSpecialSymbols ? __specialSymbolPathData.get(symbol).width : regularSymbolInfo.width) * symbolScale * (nextBaseNotation ? 0.7 : 1.0) * shrinkFactor;
				nextBaseNotation = false;
			} else {
				if (symbol === "\\_")
					nextBaseNotation = true;
				// NOTE: More special commands can be added here
			}
		return svg;
	}

	// Engine methods
	// tree : Tree to be illustrated as svg
	// svgData : Svg symbols with which accordingly labeled vertices are to be printed
	// cmdPrefix : Prefix of every special vertex (only print special symbol for layout nodes whose string starts with it, such that the rest is a key in svgData)
	execute(tree, svgData, cmdPrefix) {
		this._tree = tree;
		this.constructLayoutAndSvgTree(this._svgFile, this._layoutTreeEngine, this._tree, svgData, cmdPrefix, this._viewBoxOffsetX, this._viewBoxOffsetY, this._webColor_background, this._webColor_edgeStroke, this._svgNumber_edgeStrokeWidth, this._webColor_opVertexFill, this._webColor_opVertexStroke, this._webColor_opVertexFont, this._svgNumber_opVertexStrokeWidth, this._webColor_varVertexFill, this._webColor_varVertexStroke, this._webColor_varVertexFont, this._svgNumber_varVertexStrokeWidth, this._svgNumber_vertexRadius, this._symbolXShift, this._symbolYShift, this._symbolScale, this._avoidOverlaps);
	}
	// Should only use this after once execute() was called to construct layout.
	executeWithoutLayoutConstruction(svgData, cmdPrefix) {
		constructSvgTree(this._svgFile, this._layoutTreeEngine, svgData, cmdPrefix, this._viewBoxOffsetX, this._viewBoxOffsetY, this._webColor_background, this._webColor_edgeStroke, this._svgNumber_edgeStrokeWidth, this._webColor_opVertexFill, this._webColor_opVertexStroke, this._webColor_opVertexFont, this._svgNumber_opVertexStrokeWidth, this._webColor_varVertexFill, this._webColor_varVertexStroke, this._webColor_varVertexFont, this._svgNumber_varVertexStrokeWidth, this._svgNumber_vertexRadius, this._symbolXShift, this._symbolYShift, this._symbolScale, this._avoidOverlaps);
	}
}