LayoutTests/sputnik/Conformance/15_Native_Objects/15.8_Math/15.8.2/15.8.2.3_asin/S15.8.2.3_A6.html - WebKit - Git at Google

 <html>
 <head>
 <meta charset='utf-8'>
 <style>
 .pass {
     font-weight: bold;
     color: green;
 }
 .fail {
     font-weight: bold;
     color: red;
 }
 </style>

 <script>
 if (window.testRunner)
     testRunner.dumpAsText();

 function SputnikError(message)
 {
     this.message = message;
 }

 SputnikError.prototype.toString = function ()
 {
     return 'SputnikError: ' + this.message;
 };

 var sputnikException;

 function testPrint(msg)
 {
     var span = document.createElement("span");
     document.getElementById("console").appendChild(span); // insert it first so XHTML knows the namespace
     span.innerHTML = msg + '<br />';
 }

 function escapeHTML(text)
 {
     return text.toString().replace(/&/g, "&amp;").replace(/</g, "&lt;");
 }

 function printTestPassed(msg)
 {
     testPrint('<span><span class="pass">PASS</span> ' + escapeHTML(msg) + '</span>');
 }

 function printTestFailed(msg)
 {
     testPrint('<span><span class="fail">FAIL</span> ' + escapeHTML(msg) + '</span>');
 }

 function testFailed(msg)
 {
     throw new SputnikError(msg);
 }

 var successfullyParsed = false;
 </script>

 </head>
 <body>
 <p>S15.8.2.3_A6</p>
 <div id='console'></div>
 <script>
 try {

 /**
  * @name: S15.8.2.3_A6;
  * @section: 15.8.2.3;
  * @assertion: Math.asin, recommended that implementations use the approximation algorithms for IEEE 754 arithmetic contained in fdlibm;
  * @description: Checking if Math.asin is approximately equals to its mathematical values on the set of 64 argument values; all the sample values is calculated with LibC;
  */

 function getPrecision(num)
 {
 	//TODO: Create a table of prec's,
 	//      because using Math for testing Math isn't that correct.

 	log2num = Math.log(Math.abs(num))/Math.LN2;
 	pernum = Math.ceil(log2num);
 	return(2 * Math.pow(2, -52 + pernum));
 	//return(0);
 }


 var prec;
 function isEqual(num1, num2)
 {
 	if ((num1 === Infinity)&&(num2 === Infinity))
 	{
 		return(true);
 	}
 	if ((num1 === -Infinity)&&(num2 === -Infinity))
 	{
 		return(true);
 	}
 	prec = getPrecision(Math.min(Math.abs(num1), Math.abs(num2)));
 	return(Math.abs(num1 - num2) <= prec);
 	//return(num1 === num2);
 }


 // CHECK#1
 vnum = 64;
 var x = new Array();
 x[0] = -1.00000000000000000000;
 x[1] = -0.96825396825396826000;
 x[2] = -0.93650793650793651000;
 x[3] = -0.90476190476190477000;
 x[4] = -0.87301587301587302000;
 x[5] = -0.84126984126984128000;
 x[6] = -0.80952380952380953000;
 x[7] = -0.77777777777777779000;
 x[8] = -0.74603174603174605000;
 x[9] = -0.71428571428571430000;
 x[10] = -0.68253968253968256000;
 x[11] = -0.65079365079365081000;
 x[12] = -0.61904761904761907000;
 x[13] = -0.58730158730158732000;
 x[14] = -0.55555555555555558000;
 x[15] = -0.52380952380952384000;
 x[16] = -0.49206349206349209000;
 x[17] = -0.46031746031746035000;
 x[18] = -0.42857142857142860000;
 x[19] = -0.39682539682539686000;
 x[20] = -0.36507936507936511000;
 x[21] = -0.33333333333333337000;
 x[22] = -0.30158730158730163000;
 x[23] = -0.26984126984126988000;
 x[24] = -0.23809523809523814000;
 x[25] = -0.20634920634920639000;
 x[26] = -0.17460317460317465000;
 x[27] = -0.14285714285714290000;
 x[28] = -0.11111111111111116000;
 x[29] = -0.07936507936507941600;
 x[30] = -0.04761904761904767200;
 x[31] = -0.01587301587301592800;
 x[32] = 0.01587301587301581700;
 x[33] = 0.04761904761904767200;
 x[34] = 0.07936507936507930500;
 x[35] = 0.11111111111111116000;
 x[36] = 0.14285714285714279000;
 x[37] = 0.17460317460317465000;
 x[38] = 0.20634920634920628000;
 x[39] = 0.23809523809523814000;
 x[40] = 0.26984126984126977000;
 x[41] = 0.30158730158730163000;
 x[42] = 0.33333333333333326000;
 x[43] = 0.36507936507936511000;
 x[44] = 0.39682539682539675000;
 x[45] = 0.42857142857142860000;
 x[46] = 0.46031746031746024000;
 x[47] = 0.49206349206349209000;
 x[48] = 0.52380952380952372000;
 x[49] = 0.55555555555555558000;
 x[50] = 0.58730158730158721000;
 x[51] = 0.61904761904761907000;
 x[52] = 0.65079365079365070000;
 x[53] = 0.68253968253968256000;
 x[54] = 0.71428571428571419000;
 x[55] = 0.74603174603174605000;
 x[56] = 0.77777777777777768000;
 x[57] = 0.80952380952380953000;
 x[58] = 0.84126984126984117000;
 x[59] = 0.87301587301587302000;
 x[60] = 0.90476190476190466000;
 x[61] = 0.93650793650793651000;
 x[62] = 0.96825396825396814000;
 x[63] = 1.00000000000000000000;


 var y = new Array();
 y[0] = -1.57079632679489660000;
 y[1] = -1.31814860051033310000;
 y[2] = -1.21253510828227990000;
 y[3] = -1.13082037200397780000;
 y[4] = -1.06135247798300370000;
 y[5] = -0.99962782822935903000;
 y[6] = -0.94334055387170590000;
 y[7] = -0.89112250788665281000;
 y[8] = -0.84208287605149101000;
 y[9] = -0.79560295348453536000;
 y[10] = -0.75123199912663585000;
 y[11] = -0.70862927156238398000;
 y[12] = -0.66752944463583297000;
 y[13] = -0.62772081765791266000;
 y[14] = -0.58903097021627393000;
 y[15] = -0.55131696913188277000;
 y[16] = -0.51445847556118673000;
 y[17] = -0.47835276464925774000;
 y[18] = -0.44291104407363896000;
 y[19] = -0.40805567730127851000;
 y[20] = -0.37371805094291394000;
 y[21] = -0.33983690945412198000;
 y[22] = -0.30635703455691915000;
 y[23] = -0.27322818254063785000;
 y[24] = -0.24040421676925938000;
 y[25] = -0.20784238935334678000;
 y[26] = -0.17550273757572274000;
 y[27] = -0.14334756890536540000;
 y[28] = -0.11134101434096394000;
 y[29] = -0.07944863408513722100;
 y[30] = -0.04763706262440318300;
 y[31] = -0.01587368248995573600;
 y[32] = 0.01587368248995562500;
 y[33] = 0.04763706262440318300;
 y[34] = 0.07944863408513711000;
 y[35] = 0.11134101434096394000;
 y[36] = 0.14334756890536529000;
 y[37] = 0.17550273757572274000;
 y[38] = 0.20784238935334667000;
 y[39] = 0.24040421676925938000;
 y[40] = 0.27322818254063774000;
 y[41] = 0.30635703455691915000;
 y[42] = 0.33983690945412187000;
 y[43] = 0.37371805094291394000;
 y[44] = 0.40805567730127840000;
 y[45] = 0.44291104407363896000;
 y[46] = 0.47835276464925758000;
 y[47] = 0.51445847556118673000;
 y[48] = 0.55131696913188266000;
 y[49] = 0.58903097021627393000;
 y[50] = 0.62772081765791254000;
 y[51] = 0.66752944463583297000;
 y[52] = 0.70862927156238387000;
 y[53] = 0.75123199912663585000;
 y[54] = 0.79560295348453514000;
 y[55] = 0.84208287605149101000;
 y[56] = 0.89112250788665259000;
 y[57] = 0.94334055387170590000;
 y[58] = 0.99962782822935881000;
 y[59] = 1.06135247798300370000;
 y[60] = 1.13082037200397760000;
 y[61] = 1.21253510828227990000;
 y[62] = 1.31814860051033270000;
 y[63] = 1.57079632679489660000;


 var val;
 for (i = 0; i < vnum; i++)
 {
 	val = Math.asin(x[i]);
 	if (!isEqual(val, y[i]))
 	{
 		testFailed("\nx = " + x[i] + "\nlibc.asin(x) = " + y[i] + "\nMath.asin(x) = " + Math.asin(x[i]) + "\nMath.abs(libc.asin(x) - Math.asin(x)) > " + prec + "\n\n");
 	}
 }

 } catch (ex) {
     sputnikException = ex;
 }

 var successfullyParsed = true;
 </script>

 <script>
 if (!successfullyParsed)
     printTestFailed('successfullyParsed is not set');
 else if (sputnikException)
     printTestFailed(sputnikException);
 else
     printTestPassed("");
 testPrint('<br /><span class="pass">TEST COMPLETE</span>');
 </script>
 </body>
 </html>
	<html>
	<head>
	<meta charset='utf-8'>
	<style>
	.pass {
	font-weight: bold;
	color: green;
	}
	.fail {
	font-weight: bold;
	color: red;
	}
	</style>

	<script>
	if (window.testRunner)
	testRunner.dumpAsText();

	function SputnikError(message)
	{
	this.message = message;
	}

	SputnikError.prototype.toString = function ()
	{
	return 'SputnikError: ' + this.message;
	};

	var sputnikException;

	function testPrint(msg)
	{
	var span = document.createElement("span");
	document.getElementById("console").appendChild(span); // insert it first so XHTML knows the namespace
	span.innerHTML = msg + '<br />';
	}

	function escapeHTML(text)
	{
	return text.toString().replace(/&/g, "&").replace(/</g, "<");
	}

	function printTestPassed(msg)
	{
	testPrint('<span><span class="pass">PASS</span> ' + escapeHTML(msg) + '</span>');
	}

	function printTestFailed(msg)
	{
	testPrint('<span><span class="fail">FAIL</span> ' + escapeHTML(msg) + '</span>');
	}

	function testFailed(msg)
	{
	throw new SputnikError(msg);
	}

	var successfullyParsed = false;
	</script>

	</head>
	<body>
	<p>S15.8.2.3_A6</p>
	<div id='console'></div>
	<script>
	try {

	/**
	* @name: S15.8.2.3_A6;
	* @section: 15.8.2.3;
	* @assertion: Math.asin, recommended that implementations use the approximation algorithms for IEEE 754 arithmetic contained in fdlibm;
	* @description: Checking if Math.asin is approximately equals to its mathematical values on the set of 64 argument values; all the sample values is calculated with LibC;
	*/

	function getPrecision(num)
	{
	//TODO: Create a table of prec's,
	// because using Math for testing Math isn't that correct.

	log2num = Math.log(Math.abs(num))/Math.LN2;
	pernum = Math.ceil(log2num);
	return(2 * Math.pow(2, -52 + pernum));
	//return(0);
	}


	var prec;
	function isEqual(num1, num2)
	{
	if ((num1 === Infinity)&&(num2 === Infinity))
	{
	return(true);
	}
	if ((num1 === -Infinity)&&(num2 === -Infinity))
	{
	return(true);
	}
	prec = getPrecision(Math.min(Math.abs(num1), Math.abs(num2)));
	return(Math.abs(num1 - num2) <= prec);
	//return(num1 === num2);
	}



	// CHECK#1
	vnum = 64;
	var x = new Array();
	x[0] = -1.00000000000000000000;
	x[1] = -0.96825396825396826000;
	x[2] = -0.93650793650793651000;
	x[3] = -0.90476190476190477000;
	x[4] = -0.87301587301587302000;
	x[5] = -0.84126984126984128000;
	x[6] = -0.80952380952380953000;
	x[7] = -0.77777777777777779000;
	x[8] = -0.74603174603174605000;
	x[9] = -0.71428571428571430000;
	x[10] = -0.68253968253968256000;
	x[11] = -0.65079365079365081000;
	x[12] = -0.61904761904761907000;
	x[13] = -0.58730158730158732000;
	x[14] = -0.55555555555555558000;
	x[15] = -0.52380952380952384000;
	x[16] = -0.49206349206349209000;
	x[17] = -0.46031746031746035000;
	x[18] = -0.42857142857142860000;
	x[19] = -0.39682539682539686000;
	x[20] = -0.36507936507936511000;
	x[21] = -0.33333333333333337000;
	x[22] = -0.30158730158730163000;
	x[23] = -0.26984126984126988000;
	x[24] = -0.23809523809523814000;
	x[25] = -0.20634920634920639000;
	x[26] = -0.17460317460317465000;
	x[27] = -0.14285714285714290000;
	x[28] = -0.11111111111111116000;
	x[29] = -0.07936507936507941600;
	x[30] = -0.04761904761904767200;
	x[31] = -0.01587301587301592800;
	x[32] = 0.01587301587301581700;
	x[33] = 0.04761904761904767200;
	x[34] = 0.07936507936507930500;
	x[35] = 0.11111111111111116000;
	x[36] = 0.14285714285714279000;
	x[37] = 0.17460317460317465000;
	x[38] = 0.20634920634920628000;
	x[39] = 0.23809523809523814000;
	x[40] = 0.26984126984126977000;
	x[41] = 0.30158730158730163000;
	x[42] = 0.33333333333333326000;
	x[43] = 0.36507936507936511000;
	x[44] = 0.39682539682539675000;
	x[45] = 0.42857142857142860000;
	x[46] = 0.46031746031746024000;
	x[47] = 0.49206349206349209000;
	x[48] = 0.52380952380952372000;
	x[49] = 0.55555555555555558000;
	x[50] = 0.58730158730158721000;
	x[51] = 0.61904761904761907000;
	x[52] = 0.65079365079365070000;
	x[53] = 0.68253968253968256000;
	x[54] = 0.71428571428571419000;
	x[55] = 0.74603174603174605000;
	x[56] = 0.77777777777777768000;
	x[57] = 0.80952380952380953000;
	x[58] = 0.84126984126984117000;
	x[59] = 0.87301587301587302000;
	x[60] = 0.90476190476190466000;
	x[61] = 0.93650793650793651000;
	x[62] = 0.96825396825396814000;
	x[63] = 1.00000000000000000000;




	var y = new Array();
	y[0] = -1.57079632679489660000;
	y[1] = -1.31814860051033310000;
	y[2] = -1.21253510828227990000;
	y[3] = -1.13082037200397780000;
	y[4] = -1.06135247798300370000;
	y[5] = -0.99962782822935903000;
	y[6] = -0.94334055387170590000;
	y[7] = -0.89112250788665281000;
	y[8] = -0.84208287605149101000;
	y[9] = -0.79560295348453536000;
	y[10] = -0.75123199912663585000;
	y[11] = -0.70862927156238398000;
	y[12] = -0.66752944463583297000;
	y[13] = -0.62772081765791266000;
	y[14] = -0.58903097021627393000;
	y[15] = -0.55131696913188277000;
	y[16] = -0.51445847556118673000;
	y[17] = -0.47835276464925774000;
	y[18] = -0.44291104407363896000;
	y[19] = -0.40805567730127851000;
	y[20] = -0.37371805094291394000;
	y[21] = -0.33983690945412198000;
	y[22] = -0.30635703455691915000;
	y[23] = -0.27322818254063785000;
	y[24] = -0.24040421676925938000;
	y[25] = -0.20784238935334678000;
	y[26] = -0.17550273757572274000;
	y[27] = -0.14334756890536540000;
	y[28] = -0.11134101434096394000;
	y[29] = -0.07944863408513722100;
	y[30] = -0.04763706262440318300;
	y[31] = -0.01587368248995573600;
	y[32] = 0.01587368248995562500;
	y[33] = 0.04763706262440318300;
	y[34] = 0.07944863408513711000;
	y[35] = 0.11134101434096394000;
	y[36] = 0.14334756890536529000;
	y[37] = 0.17550273757572274000;
	y[38] = 0.20784238935334667000;
	y[39] = 0.24040421676925938000;
	y[40] = 0.27322818254063774000;
	y[41] = 0.30635703455691915000;
	y[42] = 0.33983690945412187000;
	y[43] = 0.37371805094291394000;
	y[44] = 0.40805567730127840000;
	y[45] = 0.44291104407363896000;
	y[46] = 0.47835276464925758000;
	y[47] = 0.51445847556118673000;
	y[48] = 0.55131696913188266000;
	y[49] = 0.58903097021627393000;
	y[50] = 0.62772081765791254000;
	y[51] = 0.66752944463583297000;
	y[52] = 0.70862927156238387000;
	y[53] = 0.75123199912663585000;
	y[54] = 0.79560295348453514000;
	y[55] = 0.84208287605149101000;
	y[56] = 0.89112250788665259000;
	y[57] = 0.94334055387170590000;
	y[58] = 0.99962782822935881000;
	y[59] = 1.06135247798300370000;
	y[60] = 1.13082037200397760000;
	y[61] = 1.21253510828227990000;
	y[62] = 1.31814860051033270000;
	y[63] = 1.57079632679489660000;



	var val;
	for (i = 0; i < vnum; i++)
	{
	val = Math.asin(x[i]);
	if (!isEqual(val, y[i]))
	{
	testFailed("\nx = " + x[i] + "\nlibc.asin(x) = " + y[i] + "\nMath.asin(x) = " + Math.asin(x[i]) + "\nMath.abs(libc.asin(x) - Math.asin(x)) > " + prec + "\n\n");
	}
	}

	} catch (ex) {
	sputnikException = ex;
	}

	var successfullyParsed = true;
	</script>

	<script>
	if (!successfullyParsed)
	printTestFailed('successfullyParsed is not set');
	else if (sputnikException)
	printTestFailed(sputnikException);
	else
	printTestPassed("");
	testPrint('<br /><span class="pass">TEST COMPLETE</span>');
	</script>
	</body>
	</html>