tests/math.html

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	<title>math</title>
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	<table>
	<tr><td><h2>TorZillaPrint</h2></td></tr>
	<tr><td class="blurb"><a class="return" href="../index.html">return to TZP index</a></td></tr>
	</table>

	<table id="tb3">
		<col width="1%"><col width="9%"><col width="90%">
		<thead><tr><th colspan="3">math: version 2.5</th></tr></thead>
		<tr><td colspan="3" class="intro">
			<span class="no_color">Hashes all results, and compares those results to a control set, to build a list
				of tests that provides entropy. The (ongoing) results are <a class="blue" href="mathdata.html">here</a>.</span>
		</td></tr>

		<tr><td colspan="2"></td>
			<td>
				<button onClick="outputMath(`firefox`)">firefox</button>
				<button onClick="outputMath(`chrome`)">chrome</button>
				<button onClick="outputMath(`safari`)">safari</button>
			</td></tr>

		<tr><td colspan="3"><hr></td></tr>
		<tr><td colspan="3"><span id="perfE" class="mono"></span> 
			<span class="btn0 btn" onClick="copyclip(`engine`)">[ copy ]</span> ENGINE</td></tr>
		<tr><td colspan="2">engine</td><td class="mono spaces" id="engine"></td></tr>
		<tr><td colspan="3"></td></tr>

		<tr><td colspan="3"><hr></td></tr>
		<tr><td colspan="3"><span id="perf" class="c mono"></span> 
			<span class="btn0 btn" onClick="copyclip(`report`)">[ copy ]</span> SHORT REPORT</td></tr>
		<tr><td colspan="2"></td><td class="c mono spaces" id="report"></td></tr>
		<tr><td colspan="3"></td></tr>

		<tr><td colspan="3"><hr></td></tr>
		<tr><td colspan="3">DIFFS ANALYSIS</td></tr>
		<tr><td colspan="2"></td><td class="s3">vs control</td></tr>
		<tr><td colspan="2"></td><td class="mono">denoted in <span class="s1">pale red</span></td></tr>
		<tr><td colspan="2">function</td><td class="c mono spaces" id="diff1"></td></tr>
		<tr><td colspan="2">polyfill</td><td class="c mono spaces" id="diff2"></td></tr>
		<tr><td colspan="2">test no's</td><td class="c mono spaces" id="numbers"></td></tr>
		<tr><td colspan="3"></td></tr>

		<tr><td colspan="2"></td><td class="s3">polyfill vs function</td></tr>
		<tr><td colspan="2"></td><td class="mono">denoted with <span class = "s1">[match]</span></td></tr>
		<tr><td colspan="2">diffs</td><td class="c mono spaces" id="diff0"></td></tr>
		<tr><td colspan="3"></td></tr>

		<tr><td colspan="3"><hr></td></tr>
		<tr><td colspan="3"><span class="btn0 btn" onClick="copyclip(`mathdata`)">[ copy ]</span> DATA</td></tr>
		<tr><td></td><td colspan="2" class="c mono spaces" id="mathdata"></td></tr>
	</table>
	<br>

<script>
'use strict';

var t0, // perf
	fns = [], // what tests to run
	n = 0.123,
	bigN = 5.860847362277284e+38

// control sets
var controlname = ""
var setFF = [
	'1.4474840516030247','0.7853981633974483','709.889355822726','Infinity','1.811526272460853','1.8115262724608532','0.881373587019543','0.8813735870195432','0.12331227519187199','691.4686750787736','691.4686750787736','1.8622957433108482','1.885022066017804','1.1071487177940904','1.2626272556789115','0.5493061443340548','0.5493061443340548','5e-311','1.0038848218538872','4.641588833612779','4.641588833612778','1.4645918875615231','1.4645918875615231','-0.37419577499634155','-0.7854805190645291','0.7914463018528902','-0.767224894221913','-0.7415825695514536','0.5403023058681397','0.7086865671674246','-0.7482651726250321','0.9924450321351935','-1','-0.10868049424995659','-0.8913089376870335','-0.7108118501064332','-0.5369116957490239','-0.40677759702517235','-0.7017203400855445','0.43628480636189976','-0.6982689820462376','-0.6982689820462376','-0.6534063185820198','0.45375574259827833','0.6459044007438142','1.5430806348152437','1.5430806348152437','11.591953275521519','11.591953275521519','9.199870313877774e+307','Infinity','1.046919966902314e+308','Infinity','1.718281828459045','1.718281828459045','22.140692632779267','22.140692632779267','1.1308844209474893','23.140692632779267','9.539392014169456','9.539392014169458','8.288489826731114e+38','8.288489826731116e+38','100.14767208675258','100.14767208675259','101.7610227859332','101.76102278593319','100.00960859865252','100.0096085986525','100.01040630344927','100.01040630344929','100.00999950005','100.00999950004999','100.00249996875078','100.0024999687508','100.00377216279418','100.00377216279416','-2.0955709236097197','1.1447298858494002','0.11600367575630613','0.11600367575630613','1.4210804127942926','1.4210804127942926','-0.9100948885606021','-0.9100948885606022','0.49714987269413385','0.49714987269413385','0.4342944819032518','0.4342944819032518','1.965773398945507','1.965773398945507','-0.1591745389548616','-0.1591745389548616','0.8822181462033635','0.8822181462033635','0.15917453895486158','0.15917453895486158','1.7926429945344482','1.792642994534448','-0.36221568869946325','-0.3622156886994632','0.48288235131479357','0.4828823513147936','-0.15051499783199057','-0.15051499783199057','0.15051499783199063','0.1505149978319906','0.15051499783199063','0.1505149978319906','-0.9273497301314576','-0.6188863822787813','-0.6112387023768895','0.6413781736901984','0.6708616046081811','0.8414709848078965','-0.7055234578073583','0.66339975236386','0.994076732536068','1.2246467991473532e-16','-0.7181630308570678','-0.765996413898051','0.9989410140273757','0.10135692924965614','-0.37463575478582023','-0.9892668187780497','1.1752011936438014','1.1752011936438014','11.548739357257748','11.548739357257748','7.544137102816975','7.544137102816975','0.75','0.75','1.9978980091062795','1.9978980091062797','9.199870313877774e+307','Infinity','0.44807597941469024','0.4480759794146903','0.7675231451261164','0.7675231451261164','1.935066822174357','1.9350668221743568','1.046919966902314e+308','Infinity','0.3507135583350036','1.7724538509055159','2.478247463217681','0.7879079967710036','-0.7723059681318761','-0.8359715365344825','-0.904635076595654','1.5574077246549023','-0.9955366596368418','-0.8865837628611647','0.5086861259107568','-1.2246467991473532e-16','0.686676154645243','1.618281713571588','-3.353712870537601','-1.922295546179998','-1.922295546179998','2.5824856130712437','0.12238344189440875','0.12238344189440872','0.99627207622075','0.9962720762207501','1.0220893335845176e+91','1.9275814160560185e-50','3.720075976020851e-44','8269017203802410','6.003867926738811e-37','1.2093335584550061e-16','1.665592934758592e+36','1125899906842611.5','8.881784197001154e-16'
]
var setChrome = [
	'1.4474840516030247','0.7853981633974483','709.889355822726','Infinity','1.811526272460853','1.8115262724608532','0.881373587019543','0.8813735870195432','0.12331227519187199','691.4686750787736','691.4686750787736','1.8622957433108482','1.885022066017804','1.1071487177940904','1.2626272556789115','0.5493061443340548','0.5493061443340548','5e-311','1.0038848218538872','4.641588833612779','4.641588833612778','1.4645918875615231','1.4645918875615234','-0.37419577499634155','-0.7854805190645291','0.7914463018528903','-0.767224894221913','-0.7415825695514535','0.5403023058681398','0.7086865671674247','-0.7482651726250322','0.9924450321351935','-1','-0.10868049424995659','-0.8913089376870335','-0.7108118501064331','-0.536911695749024','-0.4067775970251724','-0.7017203400855446','0.4362848063618998','-0.6982689820462377','-0.6982689820462377','-0.6534063185820198','0.4537557425982784','0.6459044007438142','1.5430806348152437','1.5430806348152437','11.591953275521519','11.591953275521519','9.199870313877772e+307','Infinity','1.0469199669023138e+308','Infinity','1.718281828459045','1.718281828459045','22.140692632779267','22.140692632779267','1.1308844209474893','23.140692632779267','9.539392014169456','9.539392014169458','8.288489826731116e+38','8.288489826731116e+38','100.14767208675259','100.14767208675259','101.76102278593319','101.76102278593319','100.0096085986525','100.0096085986525','100.01040630344929','100.01040630344929','100.00999950004999','100.00999950004999','100.0024999687508','100.0024999687508','100.00377216279416','100.00377216279416','-2.0955709236097197','1.1447298858494002','0.11600367575630613','0.11600367575630613','1.4210804127942926','1.4210804127942926','-0.9100948885606021','-0.9100948885606022','0.4971498726941338','0.49714987269413385','0.4342944819032518','0.4342944819032518','1.9657733989455068','1.965773398945507','-0.1591745389548616','-0.1591745389548616','0.8822181462033634','0.8822181462033635','0.15917453895486158','0.15917453895486158','1.792642994534448','1.792642994534448','-0.36221568869946325','-0.3622156886994632','0.4828823513147936','0.4828823513147936','-0.15051499783199057','-0.15051499783199057','0.1505149978319906','0.1505149978319906','0.1505149978319906','0.1505149978319906','-0.9273497301314576','-0.6188863822787813','-0.6112387023768895','0.6413781736901984','0.6708616046081811','0.8414709848078965','-0.7055234578073583','0.66339975236386','0.994076732536068','1.2246467991473532e-16','-0.7181630308570677','-0.7659964138980511','0.9989410140273756','0.10135692924965616','-0.3746357547858202','-0.9892668187780498','1.1752011936438014','1.1752011936438014','11.548739357257748','11.548739357257748','7.544137102816975','7.544137102816975','0.75','0.75','1.9978980091062795','1.9978980091062797','9.199870313877772e+307','Infinity','0.44807597941469024','0.4480759794146903','0.7675231451261164','0.7675231451261164','1.935066822174357','1.9350668221743568','1.0469199669023138e+308','Infinity','0.3507135583350036','1.7724538509055159','2.478247463217681','0.7879079967710036','-0.7723059681318761','-0.8359715365344825','-0.904635076595654','1.5574077246549023','-0.9955366596368418','-0.8865837628611647','0.5086861259107568','-1.2246467991473532e-16','0.6866761546452431','1.6182817135715877','-3.3537128705376014','-1.9222955461799982','-1.9222955461799982','2.5824856130712432','0.12238344189440875','0.12238344189440872','0.99627207622075','0.9962720762207501','1.022089333584519e+91','1.9275814160560204e-50','3.7200759760208555e-44','8269017203802394','6.003867926738829e-37','1.20933355845501e-16','1.6655929347585958e+36','1125899906842616.2','8.881784197001191e-16'
]
var setSafari = [
	'1.4474840516030245','0.7853981633974483','709.889355822726','Infinity','1.811526272460853','1.8115262724608532','0.8813735870195432','0.8813735870195432','0.12331227519187199','691.4686750787736','691.4686750787736','1.8622957433108482','1.885022066017804','1.1071487177940906','1.2626272556789115','0.5493061443340549','0.5493061443340549','5e-311','1.0038848218538872','4.641588833612779','4.641588833612778','1.4645918875615234','1.4645918875615231','-0.3741957749963415','-0.7854805190645292','0.7914463018528903','-0.7672248942219131','-0.7415825695514535','0.5403023058681398','0.7086865671674247','-0.7482651726250322','0.9924450321351935','-1','-0.10868049424995659','-0.8913089376870335','-0.7108118501064331','-0.536911695749024','-0.40677759702517235','-0.7017203400855446','0.4362848063618998','-0.6982689820462377','-0.6982689820462377','-0.6534063185820198','0.4537557425982784','0.6459044007438142','1.5430806348152437','1.5430806348152437','11.591953275521519','11.591953275521519','9.199870313877772e+307','Infinity','1.0469199669023138e+308','Infinity','1.7182818284590453','1.718281828459045','22.140692632779267','22.140692632779267','1.1308844209474893','23.140692632779267','9.539392014169456','9.539392014169458','8.288489826731116e+38','8.288489826731116e+38','100.14767208675259','100.14767208675259','101.76102278593319','101.76102278593319','100.0096085986525','100.0096085986525','100.01040630344929','100.01040630344929','100.00999950004999','100.00999950004999','100.0024999687508','100.0024999687508','100.00377216279416','100.00377216279416','-2.0955709236097197','1.1447298858494002','0.11600367575630613','0.11600367575630613','1.4210804127942926','1.4210804127942926','-0.9100948885606021','-0.9100948885606022','0.49714987269413385','0.49714987269413385','0.4342944819032518','0.4342944819032518','1.965773398945507','1.965773398945507','-0.1591745389548616','-0.1591745389548616','0.8822181462033635','0.8822181462033635','0.15917453895486158','0.15917453895486158','1.7926429945344482','1.792642994534448','-0.36221568869946325','-0.3622156886994632','0.48288235131479357','0.4828823513147936','-0.15051499783199057','-0.15051499783199057','0.15051499783199063','0.1505149978319906','0.15051499783199063','0.1505149978319906','-0.9273497301314577','-0.6188863822787812','-0.6112387023768895','0.6413781736901984','0.6708616046081811','0.8414709848078965','-0.7055234578073583','0.66339975236386','0.994076732536068','1.2246467991473532e-16','-0.7181630308570677','-0.765996413898051','0.9989410140273756','0.10135692924965616','-0.37463575478582023','-0.9892668187780498','1.1752011936438014','1.1752011936438014','11.548739357257746','11.548739357257748','7.544137102816975','7.544137102816975','0.75','0.75','1.9978980091062795','1.9978980091062797','9.199870313877772e+307','Infinity','0.44807597941469024','0.4480759794146903','0.7675231451261164','0.7675231451261164','1.9350668221743568','1.9350668221743568','1.0469199669023138e+308','Infinity','0.3507135583350036','1.7724538509055159','2.4782474632176816','0.7879079967710035','-0.772305968131876','-0.8359715365344824','-0.9046350765956541','1.557407724654902','-0.9955366596368417','-0.8865837628611646','0.5086861259107567','-1.2246467991473532e-16','0.686676154645243','1.6182817135715875','-3.353712870537602','-1.922295546179998','-1.922295546179998','2.5824856130712437','0.12238344189440876','0.12238344189440872','0.99627207622075','0.9962720762207501','1.022089333584519e+91','1.9275814160560206e-50','3.7200759760208555e-44','8269017203802394','6.003867926738829e-37','1.20933355845501e-16','1.6655929347585955e+36','1125899906842616.2','8.881784197001191e-16'
]

function get_engine() {
	let et0 = performance.now()
	function cbrt(x) {
		try {
			let y = Math.pow(Math.abs(x), 1 / 3)
			return x < 0 ? -y : y
		} catch(e) {
			return "error"
		}
	}
	let res = [], engine = zNEW.trim()
	for(let i=0; i < 6; i++) {
		try {
			let fnResult = "unknown"
			if (i == 0) {
				fnResult = cbrt(Math.PI) // polyfill
			} else if (i == 1) {
				fnResult = Math.log10(7*Math.LOG10E)
			} else if (i == 2) {
				fnResult = Math.log10(2*Math.SQRT1_2)
			} else if (i == 3) {
				fnResult = Math.acos(0.123)
			} else if (i == 4) {
				fnResult = Math.acosh(Math.SQRT2)
			} else if (i == 5) {
				fnResult = Math.atan(2)
			}
			res.push(fnResult)
		} catch(e) {
			res.push("error")
		}
	}
	let hash = sha1(res.join())
	if        (hash == "ede9ca53efbb1902cc213a0beb692fe1e58f9d7a") {engine = s3 +"blink"+ sc
	} else if (hash == "05513f36d87dd78af60ab448736fd0898d36b7a9") {engine = s3 +"webkit"+ sc
	} else if (hash == "38172d9426d77af71baa402940bad1336d3091d0") {engine = s3 +"edgeHTML"+ sc
	} else if (hash == "36f067c652c8cfd9072580fca1f177f07da7ecf0") {engine = s3 +"trident"+ sc // also presto if we don't use `let`
	} else if (hash == "225f4a612fdca4065043a4becff76a87ab324a74") {engine = "gecko [a]" // abraham
	} else if (hash == "cb89002a8d6fabf859f679fd318dffda1b4ae0ea") {engine = "gecko [b]" // me
	}
	if (engine.substring(0,5) == "gecko") {
		engine = s3 + engine + sc
		// 52: 837961
		// only check for PM28+
		try {
			let test52 = new Intl.DateTimeFormat(undefined, {timeZone: "Europe/Warsaw"})
			// 53: 1317307
			// eliminate FF53+
			try {
				Object.defineProperty([], "length", {get(){}})
			} catch(e) {
				if (e.name == "RangeError") {
					// 61
					// catch something PM did that ESR52 didn't
					// note: this would only apply to later v28 releases
					try {
						let test61 = (" a").trimStart()
						engine += "<br><br>but wait.. I did some extra tests<br>"
							+ s12.trim() +"real engine:" + sc + s3 +"goanna [52esr]"+ sc
					} catch(e) {}
				}
			}
		} catch(e) {}
	}
	dom.perfE.innerHTML = Math.round(performance.now()-et0) +" ms"
	dom.engine.innerHTML = s12.trim() + hash + sc +"<br> &middot; "+ res.join("<br> &middot; ")
		+"<br>"+ s12.trim() +"engine:"+ sc + engine
}

function build_controlset(engine) {
	let c = []
	if (engine == "firefox") {c = setFF
	} else if (engine == "chrome") {c = setChrome
	} else if (engine == "safari") {c = setSafari}
	fns = [
		// [item, function, value, description, control, poly1 control, poly2 control]
		[0,'acos', [n], n, c[0]],
		[1,'acos', [Math.SQRT1_2], "Math.SQRT1_2", c[1]],

		[0,'acosh', [1e308], "1e300", c[2], c[3]],
		[1,'acosh', [Math.PI], "Math.PI", c[4], c[5]],
		[2,'acosh', [Math.SQRT2], "Math.SQRT2", c[6], c[7]],

		[0,'asin', [n], n, c[8]],

		[0,'asinh', [1e300], "1e300", c[9], c[10]],
		[1,'asinh', [Math.PI], "Math.PI", c[11], c[12]],

		[0,'atan', [2], "2", c[13]],
		[1,'atan', [Math.PI], "Math.PI", c[14]],

		[0,'atanh', [0.5], "0.5", c[15], c[16]],

		[0,'atan2', [1e-310, 2], "1e-310, 2", c[17]],
		[1,'atan2', [Math.PI, 2], "Math.PI, 2", c[18]],

		[0,'cbrt', [100], "100", c[19], c[20]],
		[1,'cbrt', [Math.PI], "Math.PI", c[21], c[22]],

		// original TZP cos
		[0,'cos', [1e251], "1e251", c[23]],
		[1,'cos', [1e140], "1e140", c[24]],
		[2,'cos', [1e12], "1e12", c[25]],
		[3,'cos', [1e130], "1e130", c[26]],
		[4,'cos', [1e272], "1e272", c[27]],
		[5,'cos', [1e0], "1e0", c[28]],
		[6,'cos', [1e284], "1e284", c[29]],
		[7,'cos', [1e75], "1e75", c[30]],

		[8,'cos', [n], n, c[31]],
		[9,'cos', [Math.PI], "Math.PI", c[32]],
		[10,'cos', [bigN], "bigN", c[33]], // creep says unique in Tor
		[11,'cos', [-1e308], '-1e308', c[34]],
		[12,'cos', [13*Math.E], '13*Math.E', c[35]],
		[13,'cos', [57*Math.E], '57*Math.E', c[36]],
		[14,'cos', [21*Math.LN2], '21*Math.LN2', c[37]],
		[15,'cos', [51*Math.LN2], '51*Math.LN2', c[38]],
		[16,'cos', [21*Math.LOG2E], '21*Math.LOG2E', c[39]],
		[17,'cos', [25*Math.SQRT2], '25*Math.SQRT2', c[40]],
		[18,'cos', [50*Math.SQRT1_2], '50*Math.SQRT1_2', c[41]],
		[19,'cos', [21*Math.SQRT1_2], '21*Math.SQRT1_2', c[42]],
		[20,'cos', [17*Math.LOG10E], '17*Math.LOG10E', c[43]],
		[21,'cos', [2*Math.LOG10E], '2*Math.LOG10E', c[44]],

		[0,'cosh', [1], "1", c[45], c[46]],
		[1,'cosh', [Math.PI], "Math.PI", c[47], c[48]],
		[2,'cosh', [492*Math.LOG2E], '492*Math.LOG2E', c[49], c[50]],
		[3,'cosh', [502*Math.SQRT2], '502*Math.SQRT2', c[51], c[52]],

		[0,'expm1', [1], "1", c[53], c[54]],
		[1,'expm1', [Math.PI], "Math.PI", c[55], c[56]],

		[0,'exp', [n], n, c[57]],
		[1,'exp', [Math.PI], "Math.PI", c[58]],

		[0,'hypot', [1,2,3,4,5,6], "1,2,3,4,5,6", c[59], c[60]],
		[1,'hypot', [bigN, bigN], "bigN, bigN", c[61], c[62]],
		[2,'hypot', [2*Math.E,-100], '2*Math.E,-100', c[63], c[64]],
		[3,'hypot', [6*Math.PI,-100], '6*Math.PI,-100', c[65], c[66]],
		[4,'hypot', [2*Math.LN2,-100], '2*Math.LN2,-100', c[67], c[68]],
		[5,'hypot', [Math.LOG2E,-100], 'Math.LOG2E,-100', c[69], c[70]],
		[6,'hypot', [Math.SQRT2,-100], 'Math.SQRT2,-100', c[71], c[72]],
		[7,'hypot', [Math.SQRT1_2,-100], 'Math.SQRT1_2,-100',c[73], c[74]],
		[8,'hypot', [2*Math.LOG10E,-100], '2*Math.LOG10E,-100', c[75], c[76]],

		[0,'log', [n], n, c[77]],
		[1,'log', [Math.PI], "Math.PI", c[78]],

		[0,'log1p', [n], n, c[79], c[80]],
		[1,'log1p', [Math.PI], "Math.PI", c[81], c[82]],

		[0,'log10', [n], n, c[83], c[84]],
		[1,'log10', [Math.PI], "Math.PI", c[85], c[86]],
		[2,'log10', [Math.E], "Math.E", c[87], c[88]],
		[3,'log10', [34*Math.E], '34*Math.E', c[89], c[90]],
		[4,'log10', [Math.LN2], "Math.LN2", c[91], c[92]],
		[5,'log10', [11*Math.LN2], '11*Math.LN2', c[93], c[94]],
		[6,'log10', [Math.LOG2E], "Math.LOG2E", c[95], c[96]],
		[7,'log10', [43*Math.LOG2E], '43*Math.LOG2E', c[97], c[98]],
		[8,'log10', [Math.LOG10E], "Math.LOG10E", c[99], c[100]],
		[9,'log10', [7*Math.LOG10E], '7*Math.LOG10E', c[101], c[102]],
		[10,'log10', [Math.SQRT1_2], "Math.SQRT1_2", c[103], c[104]],
		[11,'log10', [2*Math.SQRT1_2], '2*Math.SQRT1_2', c[105], c[106]],
		[12,'log10', [Math.SQRT2], "Math.SQRT2", c[107], c[108]],

		// original TZP value but with sin
		[0,'sin', [1e251], "1e251", c[109]],
		[1,'sin', [1e140], "1e140", c[110]],
		[2,'sin', [1e12], "1e12", c[111]],
		[3,'sin', [1e130], "1e130", c[112]],
		[4,'sin', [1e272], "1e272", c[113]],
		[5,'sin', [1e0], "1e0", c[114]],
		[6,'sin', [1e284], "1e284", c[115]],
		[7,'sin', [1e75], "1e75", c[116]],

		[8,'sin', [bigN], "bigN", c[117]], // creep says unique in Tor
		[9,'sin', [Math.PI], "Math.PI", c[118]], // creep says unique in Tor
		[10,'sin', [39*Math.E], "39*Math.E", c[119]],
		[11,'sin', [35*Math.LN2], "35*Math.LN2", c[120]],
		[12,'sin', [110*Math.LOG2E], "110*Math.LOG2E", c[121]],
		[13,'sin', [7*Math.LOG10E], "7*Math.LOG10E", c[122]],
		[14,'sin', [35*Math.SQRT1_2], "35*Math.SQRT1_2", c[123]],
		[15,'sin', [21*Math.SQRT2], "21*Math.SQRT2", c[124]],

		[0,'sinh', [1], "1", c[125], c[126]],
		[1,'sinh', [Math.PI], "Math.PI", c[127], c[128]],
		[2,'sinh', [Math.E], "Math.E", c[129], c[130]],
		[3,'sinh', [Math.LN2], "Math.LN2", c[131], c[132]],
		[4,'sinh', [Math.LOG2E], "Math.LOG2E", c[133], c[134]],
		[5,'sinh', [492*Math.LOG2E], '492*Math.LOG2E', c[135], c[136]],
		[6,'sinh', [Math.LOG10E], "Math.LOG10E", c[137], c[138]],
		[7,'sinh', [Math.SQRT1_2], "Math.SQRT1_2", c[139], c[140]],
		[8,'sinh', [Math.SQRT2], "Math.SQRT2", c[141], c[142]],
		[9,'sinh', [502*Math.SQRT2], '502*Math.SQRT2', c[143], c[144]],

		[0,'sqrt', [n], n, c[145]],
		[1,'sqrt', [Math.PI], "Math.PI", c[146]],

		// original TZP with tan
		[0,'tan', [1e251], "1e251", c[147]],
		[1,'tan', [1e140], "1e140", c[148]],
		[2,'tan', [1e12], "1e12", c[149]],
		[3,'tan', [1e130], "1e130", c[150]],
		[4,'tan', [1e272], "1e272", c[151]],
		[5,'tan', [1e0], "1e0", c[152]],
		[6,'tan', [1e284], "1e284", c[153]],
		[7,'tan', [1e75], "1e75", c[154]],

		[8,'tan', [-1e308], "-1e308", c[155]],
		[9,'tan', [Math.PI], "Math.PI", c[156]],
		[10,'tan', [6*Math.E], '6*Math.E', c[157]],
		[11,'tan', [6*Math.LN2], '6*Math.LN2', c[158]],
		[12,'tan', [10*Math.LOG2E], '10*Math.LOG2E', c[159]],
		[13,'tan', [17*Math.SQRT2], '17*Math.SQRT2', c[160]],
		[14,'tan', [34*Math.SQRT1_2], '34*Math.SQRT1_2', c[161]],
		[15,'tan', [10*Math.LOG10E], '10*Math.LOG10E', c[162]],

		[0,'tanh', [n], n, c[163], c[164]],
		[1,'tanh', [Math.PI], "Math.PI", c[165], c[166]],

		[0,'pow', [n,-100], n+",-100", c[167]],
		[1,'pow', [Math.PI,-100], "Math.PI,-100", c[168]],
		[2,'pow', [Math.E,-100], "Math.E,-100", c[169]],
		[3,'pow', [Math.LN2,-100], "Math.LN2,-100", c[170]],
		[4,'pow', [Math.LN10,-100], "Math.LN10,-100", c[171]],
		[5,'pow', [Math.LOG2E,-100], "Math.LOG2E,-100", c[172]],
		[6,'pow', [Math.LOG10E,-100], "Math.LOG10E,-100", c[173]],
		[7,'pow', [Math.SQRT1_2,-100], "Math.SQRT1_2,-100", c[174]],
		[8,'pow', [Math.SQRT2,-100], "Math.SQRT2,-100", c[175]],
	]
}

	// POLYFILLS
	const acosh = x => Math.log(x + Math.sqrt(x * x - 1))
	const asinh = x => {
		const absX = Math.abs(x)
		if (absX < Math.pow(2, -28)) {
			return x
		}
		const w = (
			absX > Math.pow(2, 28) ? Math.log(absX) + Math.LN2 :
			absX > 2 ? Math.log(2 * absX + 1 / Math.sqrt(x * x + 1)) :
			Math.log1p(absX + (x * x) / (1 + Math.sqrt(1 + (x * x))))
    )
		return x > 0 ? w : -w
	}
	const atanh = x => Math.log((1 + x) / (1 - x)) / 2
	function cbrt(x) {
		let y = Math.pow(Math.abs(x), 1 / 3)
		return x < 0 ? -y : y
	}
	const cosh = x => (Math.exp(x) + Math.exp(-x)) / 2
	const expm1 = x => Math.exp(x) - 1
	function hypot(array) {
		let i, s = 0,
			max = 0,
			isInfinity = false,
			len = array.length
		for (i = 0; i < len; ++i) {
			const arg = Math.abs(+array[i])
			if (arg === Infinity) {
				isInfinity = true
			}
			if (arg > max) {
				s *= (max / arg) * (max / arg)
				max = arg
			}
			s += arg === 0 && max === 0 ? 0 : (arg / max) * (arg / max)
		}
		return isInfinity ? Infinity : (max === Infinity ? Infinity : max * Math.sqrt(s))
	}
	const log1p = x => {
		const nearX = (x + 1) - 1
		return (
			x < -1 || x !== x ? NaN :
			x === 0 || x === Infinity ? x :
			nearX === 0 ? x :
			x * (Math.log(x + 1) / nearX)
		)
	}
	const log2 = x => Math.log(x) * Math.LOG2E
	const log10 = x => Math.log(x) * Math.LOG10E
	const sinh = x => (Math.exp(x) - Math.exp(-x)) / 2
	const tanh = x => {
		const a = Math.exp(+x)
		const b = Math.exp(-x)
		return a == Infinity ? 1 : b == Infinity ? -1 : (a - b) / (a + b)
	}


function get_results() {
	// vars
	let display = [],
		prevFn = "start",
		demarc = false,
		strDemarc = "----------------------------------------------------",
		sColor = s3,
		vPad = 19, // value tested
		fPad = vPad + 7, // function + value
		rPad = 23, // result
		nPad = 5, // user number: 5 means k indents by 2, and k+"p1"/"p2" is covered in diffs
		bigNstr = "* bigN = " + bigN

	// BUILD TEST RESULTS
	let	math1 = [],	// functions
		math2 = [], // polyfills
		numbers = [], // numbers which make a difference
		numberchk = [], // make sure no duplicates
		polymatch = [],
		fnmatch = [], // do not match control
		diffs = [] // fn + poly don't match

	let generate = []
	for(let i=0; i < fns.length; i++) {
		let fn = fns[i]
		let k = fn[0] // user defined number
		let kpad = (k.toString()).padStart(nPad)
		let fnResult = (Math[fn[1]](...fn[2])).toString()
		let fnValue = fn[3].toString()
		let fnControl = fn[4].toString()
		let fnName = fn[1].toString()
		numberchk.push(fnName+"-"+k.toString())

		// fn result
		let isFnDiff = false
		if (fnResult !== fnControl) {
			isFnDiff = true
			fnmatch.push(k+":"+fnName+"("+fn[3]+"):"+fnControl +":"+fnResult)
			numbers.push(fnName +":"+ k.toString())
		}
		math1.push(fnName+"("+fnValue+"):"+fnResult)
		generate.push("'"+fnResult+"'")

		// poly tests
		let poly1Result = ""
		let poly1Control = ""
		if (fn[5] !== undefined && fn[5] !== "") {
			poly1Control = fn[5].toString()
			if (fnName == "acosh") {poly1Result = acosh(...fn[2])
			} else if (fnName == "asinh") {poly1Result = asinh(...fn[2])
			} else if (fnName == "atanh") {poly1Result = atanh(...fn[2])
			} else if (fnName == "cbrt")  {poly1Result = cbrt(...fn[2])
			} else if (fnName == "cosh" ) {poly1Result = cosh(...fn[2])
			} else if (fnName == "expm1") {poly1Result = expm1(...fn[2])
			} else if (fnName == "hypot") {poly1Result = hypot([...fn[2]]) // pass array
			} else if (fnName == "log1p") {poly1Result = log1p(...fn[2])
			} else if (fnName == "log2" ) {poly1Result = log2(...fn[2])
			} else if (fnName == "log10") {poly1Result = log10(...fn[2])
			} else if (fnName == "sinh" ) {poly1Result = sinh(...fn[2])
			} else if (fnName == "tanh" ) {poly1Result = tanh(...fn[2])}
			poly1Result = poly1Result.toString()
			//console.debug(k, fn[3], fnName, poly1Control, poly1Result)
		}

		// poly1 results
		let isPolyDiff = false, isDiff = false
		if (poly1Result !== "") {
			if (poly1Result !== poly1Control) {
				isPolyDiff = true
				polymatch.push(k+"p1:"+fnName+"("+fn[3]+"):"+poly1Control +":"+poly1Result)
				numbers.push(fnName +":"+ k.toString() +"p1")
			}
			math2.push(fnName+"("+fnValue+")polyfill1:"+poly1Result)
			generate.push("'"+poly1Result+"'")
			// does not match fn
			if (poly1Result !== fnResult) {
				isDiff = true
				diffs.push(k+"p1:"+fnName+"("+fn[3]+"):"+fnResult +":"+poly1Result)
			}
		}

		// color & pad
		if (isFnDiff) {
			fnResult = s1.trim() + fnResult.padStart(rPad) + sc
		} else {
			fnResult = fnResult.padStart(rPad)
		}
		if (isPolyDiff) {
			poly1Result = s1.trim() + poly1Result.padStart(rPad) + sc
		} else {
			poly1Result = poly1Result.padStart(rPad)
		}
		if (isDiff) {
			poly1Result += s1 +"[match]"+ sc
		}
		if (poly1Result !== "") {
			fnResult += ", " + poly1Result
		}

		// demarcate each function
		if (prevFn !== fnName) {demarc = true} else {demarc = false}
		if (demarc == true) {
			display.push(sColor.trim() + strDemarc +"<br>"+ fnName.toUpperCase() + sc)
		}
		display.push(kpad+": "+ sColor + fnValue.padEnd(vPad) + sc +": "+ fnResult)
		// remember last function
		prevFn = fn[1]
	}
	// generate control lists
	//console.log("CONTROL LIST:\n " + generate.join(","))

	// NUMBER+NAME DUPE CHECK
	numberchk = numberchk.filter(function(item, position) {return numberchk.indexOf(item) === position})
	if (fns.length !== numberchk.length) {
		console.debug("fns array has duplicate user defined test ids")
	}

	// NUMBERS
	let numstr = "none", mathPrev = "", mathNext = "", tmp_nums = []
	if (numbers.length > 0) {
		let numdisplay = []
		for(let i=0; i < numbers.length; i++) {
			let part0 = numbers[i].split(":")[0]
			let part1 = numbers[i].split(":")[1]
				part1 = part1.replace(/\p1/g, s12.trim() +"p1"+ sc)
			// build number string
			tmp_nums.push(part1)
			if (i < numbers.length - 1) {
				mathNext = numbers[(i+1)].split(":")[0]
			} else {
				mathNext = "end"
			}
			// next math function is diff: write data
			if (mathNext !== part0) {
				numdisplay.push(s12.trim() + part0.padStart(5) + sc +": "+ tmp_nums.join(", "))
				tmp_nums = [] // reset
			}
			mathPrev = part0
		}
		numstr = numdisplay.join("<br>")
	}
	dom.numbers.innerHTML = numstr

	// DIFFS FUNCTION
	function output_diffs(array, type) {
		let output = []
		if (array.length > 0) {
			for(let i=0; i < array.length; i++) {
				let part0 = array[i].split(":")[0]
					part0 = (part0.toString()).padStart(nPad)
				let part1 = array[i].split(":")[1]
					part1 = (part1.toString()).padEnd(fPad)
				let part2 = array[i].split(":")[2]
					part2 = (part2.toString()).padStart(rPad)
				let part3 = array[i].split(":")[3]
				output.push(s12.trim() + part1 + sc +" s/be "+ s3.trim() + part2 + sc +" got"+ s1 + part3 + sc)
			}
			document.getElementById("diff" + type).innerHTML = output.join("<br>")
		} else {
			document.getElementById("diff" + type).innerHTML = "none"
		}
	}

	// HASHES
	let hash1 = sha1(math1.join())
	let hash2 = sha1(math2.join())
	let math3 = math1.concat(math2)
	let hash0 = sha1(math3.join())
	//console.debug(math3.join("\n"))
	let maincode = get_code(hash0)
	if (numstr == "none") {
		numstr = s12.trim() +"  nos: "+ sc + numstr
	}

	// SHORT REPORT
	let report = s12.trim() +"control: "+ controlname
		+"<br>"+ strDemarc + sc
		+"<br>"+ s12.trim() +" hash: "+ sc + hash0 + maincode
		+"<br>"+ s12.trim() +" func: "+ sc + hash1
		+"<br>"+ s12.trim() +" poly: "+ sc + hash2
		+"<br>"+ numstr
	dom.report.innerHTML = report
	// LONG REPORT
	output_diffs(diffs, 0)
	output_diffs(fnmatch, 1)
	output_diffs(polymatch, 2)
	// DATA
	dom.mathdata.innerHTML = report
		+"<br><br>"+ bigNstr.padStart(52)
		+"<br>"+ display.join("<br>")
	// PERF
	dom.perf.innerHTML = Math.round(performance.now()-t0) +" ms"

}

function get_code(hash) {
	let r = ""
	// FF
		// windows
	if      (hash == "97c37c8c3b1de92333bf1993a7350cf785b2715d") {r="F1"} // Win7 64bit: FF68-82 64bit [CONTROL]
	else if (hash == "d9e8b78b68a5d1086af27ceec9315f0797ccec7c") {r="F2"} // Win7 64bit: FF68-82 32bit
	else if (hash == "06f9ca0df07d4836116143158b670c9d3a417cd4") {r="F3"} // Win7 64bit: TB68-78 64bit
	else if (hash == "dd277bcf4a12289404b0aab1ae43be060be5a12a") {r="F4"} // Win7 64bit: TB68-78 32bit

		// pending windows machine no 2 tests (which I know provide more entropy)
		// rampaa
	//else if (hash == "b0130c424be28aac4ed155c679c9baf951349b75") {r="something"} // Win10 64bit: FF80 64bit
	// hash: b0130c424be28aac4ed155c679c9baf951349b75 [NEW]
	// func: e8dd64a68e81d54fbaab58bd3b48cbe2179f6587
	// poly: 0cde3749d8f342c858af1eef6b48f2e2be985440
	//  cos: 5, 7, 14, 16, 17, 18
	//  sin: 14 
	//  tan: 12

		// android
	else if (hash == "571b9a318869bd09dab3fd83fd88883a66188011") {r="F20"} // android 9 aarch64 | browserstacks: android 10, 11
	else if (hash == "56c05c3f03fb55c3c046ad1b68d05d2392fe0c54") {r="F21"} // browserstacks: android 6,7,7.1,8,9
	else if (hash == "da130b6da16b5ddffc42ebf56259c4746d01a3b6") {r="F22"} // browserstacks: android 9
	else if (hash == "d246b2f0103139eb4407a7dfe4dda2af0bcca4e6") {r="F23"} // browserstacks: android 10
	else if (hash == "a624571a642dbcb468f6d2d8203d0659d351bdc1") {r="F24"} // browserstacks: android 5
	else if (hash == "02e1298182c58da58956df1342b525bd5aecfd7e") {r="F25"} // browserstacks: android 4.4
	else if (hash == "66b3de14094fec47652f8ad203e6d8e6c9ee418f") {r="F26"} // android 8, browserstacks 8.1, chromeOS-32bit android 9
		// linux
	else if (hash == "e6c7b364678e8ecec909088314318acb8430ee47") {r="F30"}
	else if (hash == "05ea8b9bed51553711e3bbaa552449d8ea40c4be") {r="F31"}
		// mac
	else if (hash == "84ad7bbb52342b6c224c0fe45977184bc943bb92") {r="F50"}
		// obsolete linux
	else if (hash == "2047b6e1afc4c6bbe55d061e33fa8026c7afd648") {r="F80"} // mint32: FF60-67
	else if (hash == "ac4f01ae0d298a6ef48bb20aa594a77fb14b0968") {r="F81"} // mint32: TB60
		// obsolete windows
	else if (hash == "3ada7d492e4fa7a7a6acea446fa24ec3ff370556") {r="F96"} // Win7 64bit: FF60-67 64bit [obsolete versions]
	else if (hash == "a8b5e74f336489c1df701a95650ab091ff6de436") {r="F97"} // Win7 64bit: FF60-67 32bit [obsolete versions]
	else if (hash == "8d09688f127d62709bbb5d47f7fc8c959ae151a8") {r="F98"} // Win7 64bit: TB60 64bit [obsolete versions]
	else if (hash == "4796b1d067dd047768dcd2e9ecd740c0ef353d31") {r="F99"} // Win7 64bit: TB60 32bit [obsolete versions]

	// CHROME
	else if (hash == "42550bb913168ddbb8be40f970adc51344017cad") { r="C1"}
	// SAFARI
	else if (hash == "4423be6d9bec5550ad38ea9dde7ef2daf0609e0f") { r="S1"}
	// iOS
	else if (hash == "2e9162520d6f90c28e24d0f2e538f79f503f8a66") { r="iOS1"}
	// EDGEHTML
	else if (hash == "a53608a3ac4caf531014dcd4cfaac425db405398") { r="E99"}

	// NEW
	if (r == "") {r = zNEW} else {r = s12+"["+ r +"]"+sc}
	return r
}

function outputMath(control) {
	// clear
	let items = document.getElementsByClassName("c mono")
	for (let i=0; i < items.length; i++) {items[i].textContent = ""}
	// control
	if (control == "firefox") {controlname = "Firefox 78 64bit on Windows 64bit"
	} else if (control == "chrome") {controlname = "Chrome 85 64bit on Windows 64bit"
	} else if (control == "safari") {controlname = "Safari 13.0.5 on macOS Catalina [VM 64bit on Windows 10 64bit]"}
	// build control & run
	build_controlset(control)

	// delay so user can see things being reset
	setTimeout(function(){
		t0 = performance.now()
		get_results()
	}, 170)
}

get_engine()
outputMath("firefox")

</script>
</body>
</html>