LayoutTests/sputnik/Conformance/15_Native_Objects/15.8_Math/15.8.2/15.8.2.7_cos/S15.8.2.7_A7.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>S15.8.2.7_A7</p>
 <div id='console'></div>
 <script>
 try {

 /**
  * @name: S15.8.2.7_A7;
  * @section: 15.8.2.7;
  * @assertion: Math.cos it is recommended that implementations use the approximation algorithms for IEEE 754 arithmetic contained in fdlibm;
  * @description: Checking if Math.cos 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] = -3.14159265358979310000;
 x[1] = -3.04185955347583150000;
 x[2] = -2.94212645336186980000;
 x[3] = -2.84239335324790820000;
 x[4] = -2.74266025313394660000;
 x[5] = -2.64292715301998450000;
 x[6] = -2.54319405290602290000;
 x[7] = -2.44346095279206120000;
 x[8] = -2.34372785267809960000;
 x[9] = -2.24399475256413790000;
 x[10] = -2.14426165245017630000;
 x[11] = -2.04452855233621470000;
 x[12] = -1.94479545222225280000;
 x[13] = -1.84506235210829120000;
 x[14] = -1.74532925199432950000;
 x[15] = -1.64559615188036790000;
 x[16] = -1.54586305176640600000;
 x[17] = -1.44612995165244440000;
 x[18] = -1.34639685153848280000;
 x[19] = -1.24666375142452110000;
 x[20] = -1.14693065131055950000;
 x[21] = -1.04719755119659740000;
 x[22] = -0.94746445108263622000;
 x[23] = -0.84773135096867458000;
 x[24] = -0.74799825085471250000;
 x[25] = -0.64826515074075086000;
 x[26] = -0.54853205062678922000;
 x[27] = -0.44879895051282759000;
 x[28] = -0.34906585039886595000;
 x[29] = -0.24933275028490431000;
 x[30] = -0.14959965017094268000;
 x[31] = -0.04986655005698104000;
 x[32] = 0.04986655005698104000;
 x[33] = 0.14959965017094268000;
 x[34] = 0.24933275028490431000;
 x[35] = 0.34906585039886595000;
 x[36] = 0.44879895051282759000;
 x[37] = 0.54853205062678922000;
 x[38] = 0.64826515074075086000;
 x[39] = 0.74799825085471250000;
 x[40] = 0.84773135096867414000;
 x[41] = 0.94746445108263533000;
 x[42] = 1.04719755119659830000;
 x[43] = 1.14693065131055950000;
 x[44] = 1.24666375142452070000;
 x[45] = 1.34639685153848280000;
 x[46] = 1.44612995165244400000;
 x[47] = 1.54586305176640600000;
 x[48] = 1.64559615188036810000;
 x[49] = 1.74532925199432930000;
 x[50] = 1.84506235210829140000;
 x[51] = 1.94479545222225260000;
 x[52] = 2.04452855233621470000;
 x[53] = 2.14426165245017670000;
 x[54] = 2.24399475256413790000;
 x[55] = 2.34372785267810000000;
 x[56] = 2.44346095279206120000;
 x[57] = 2.54319405290602240000;
 x[58] = 2.64292715301998450000;
 x[59] = 2.74266025313394660000;
 x[60] = 2.84239335324790780000;
 x[61] = 2.94212645336186980000;
 x[62] = 3.04185955347583100000;
 x[63] = 3.14159265358979310000;


 var y = new Array();
 y[0] = -1.00000000000000000000;
 y[1] = -0.99503077536540141000;
 y[2] = -0.98017248784854383000;
 y[3] = -0.95557280578614079000;
 y[4] = -0.92147621187040774000;
 y[5] = -0.87822157337022844000;
 y[6] = -0.82623877431599468000;
 y[7] = -0.76604444311897790000;
 y[8] = -0.69823681808607274000;
 y[9] = -0.62348980185873348000;
 y[10] = -0.54254626386575933000;
 y[11] = -0.45621065735316296000;
 y[12] = -0.36534102436639487000;
 y[13] = -0.27084046814300500000;
 y[14] = -0.17364817766693030000;
 y[15] = -0.07473009358642426800;
 y[16] = 0.02493069173807303500;
 y[17] = 0.12434370464748527000;
 y[18] = 0.22252093395631445000;
 y[19] = 0.31848665025168443000;
 y[20] = 0.41128710313061151000;
 y[21] = 0.50000000000000033000;
 y[22] = 0.58374367223478973000;
 y[23] = 0.66168583759685928000;
 y[24] = 0.73305187182982645000;
 y[25] = 0.79713250722292250000;
 y[26] = 0.85329088163215572000;
 y[27] = 0.90096886790241915000;
 y[28] = 0.93969262078590832000;
 y[29] = 0.96907728622907796000;
 y[30] = 0.98883082622512852000;
 y[31] = 0.99875692121892234000;
 y[32] = 0.99875692121892234000;
 y[33] = 0.98883082622512852000;
 y[34] = 0.96907728622907796000;
 y[35] = 0.93969262078590832000;
 y[36] = 0.90096886790241915000;
 y[37] = 0.85329088163215572000;
 y[38] = 0.79713250722292250000;
 y[39] = 0.73305187182982645000;
 y[40] = 0.66168583759685962000;
 y[41] = 0.58374367223479051000;
 y[42] = 0.49999999999999950000;
 y[43] = 0.41128710313061151000;
 y[44] = 0.31848665025168482000;
 y[45] = 0.22252093395631445000;
 y[46] = 0.12434370464748572000;
 y[47] = 0.02493069173807303500;
 y[48] = -0.07473009358642449000;
 y[49] = -0.17364817766693008000;
 y[50] = -0.27084046814300522000;
 y[51] = -0.36534102436639465000;
 y[52] = -0.45621065735316296000;
 y[53] = -0.54254626386575977000;
 y[54] = -0.62348980185873348000;
 y[55] = -0.69823681808607307000;
 y[56] = -0.76604444311897790000;
 y[57] = -0.82623877431599446000;
 y[58] = -0.87822157337022844000;
 y[59] = -0.92147621187040774000;
 y[60] = -0.95557280578614057000;
 y[61] = -0.98017248784854383000;
 y[62] = -0.99503077536540141000;
 y[63] = -1.00000000000000000000;


 var val;
 for (i = 0; i < vnum; i++)
 {
 	val = Math.cos(x[i]);
 	if (!isEqual(val, y[i]))
 	{
 		testFailed("\nx = " + x[i] + "\nlibc.cos(x) = " + y[i] + "\nMath.cos(x) = " + Math.cos(x[i]) + "\nMath.abs(libc.cos(x) - Math.cos(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>S15.8.2.7_A7</p>
	<div id='console'></div>
	<script>
	try {

	/**
	* @name: S15.8.2.7_A7;
	* @section: 15.8.2.7;
	* @assertion: Math.cos it is recommended that implementations use the approximation algorithms for IEEE 754 arithmetic contained in fdlibm;
	* @description: Checking if Math.cos 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] = -3.14159265358979310000;
	x[1] = -3.04185955347583150000;
	x[2] = -2.94212645336186980000;
	x[3] = -2.84239335324790820000;
	x[4] = -2.74266025313394660000;
	x[5] = -2.64292715301998450000;
	x[6] = -2.54319405290602290000;
	x[7] = -2.44346095279206120000;
	x[8] = -2.34372785267809960000;
	x[9] = -2.24399475256413790000;
	x[10] = -2.14426165245017630000;
	x[11] = -2.04452855233621470000;
	x[12] = -1.94479545222225280000;
	x[13] = -1.84506235210829120000;
	x[14] = -1.74532925199432950000;
	x[15] = -1.64559615188036790000;
	x[16] = -1.54586305176640600000;
	x[17] = -1.44612995165244440000;
	x[18] = -1.34639685153848280000;
	x[19] = -1.24666375142452110000;
	x[20] = -1.14693065131055950000;
	x[21] = -1.04719755119659740000;
	x[22] = -0.94746445108263622000;
	x[23] = -0.84773135096867458000;
	x[24] = -0.74799825085471250000;
	x[25] = -0.64826515074075086000;
	x[26] = -0.54853205062678922000;
	x[27] = -0.44879895051282759000;
	x[28] = -0.34906585039886595000;
	x[29] = -0.24933275028490431000;
	x[30] = -0.14959965017094268000;
	x[31] = -0.04986655005698104000;
	x[32] = 0.04986655005698104000;
	x[33] = 0.14959965017094268000;
	x[34] = 0.24933275028490431000;
	x[35] = 0.34906585039886595000;
	x[36] = 0.44879895051282759000;
	x[37] = 0.54853205062678922000;
	x[38] = 0.64826515074075086000;
	x[39] = 0.74799825085471250000;
	x[40] = 0.84773135096867414000;
	x[41] = 0.94746445108263533000;
	x[42] = 1.04719755119659830000;
	x[43] = 1.14693065131055950000;
	x[44] = 1.24666375142452070000;
	x[45] = 1.34639685153848280000;
	x[46] = 1.44612995165244400000;
	x[47] = 1.54586305176640600000;
	x[48] = 1.64559615188036810000;
	x[49] = 1.74532925199432930000;
	x[50] = 1.84506235210829140000;
	x[51] = 1.94479545222225260000;
	x[52] = 2.04452855233621470000;
	x[53] = 2.14426165245017670000;
	x[54] = 2.24399475256413790000;
	x[55] = 2.34372785267810000000;
	x[56] = 2.44346095279206120000;
	x[57] = 2.54319405290602240000;
	x[58] = 2.64292715301998450000;
	x[59] = 2.74266025313394660000;
	x[60] = 2.84239335324790780000;
	x[61] = 2.94212645336186980000;
	x[62] = 3.04185955347583100000;
	x[63] = 3.14159265358979310000;


	var y = new Array();
	y[0] = -1.00000000000000000000;
	y[1] = -0.99503077536540141000;
	y[2] = -0.98017248784854383000;
	y[3] = -0.95557280578614079000;
	y[4] = -0.92147621187040774000;
	y[5] = -0.87822157337022844000;
	y[6] = -0.82623877431599468000;
	y[7] = -0.76604444311897790000;
	y[8] = -0.69823681808607274000;
	y[9] = -0.62348980185873348000;
	y[10] = -0.54254626386575933000;
	y[11] = -0.45621065735316296000;
	y[12] = -0.36534102436639487000;
	y[13] = -0.27084046814300500000;
	y[14] = -0.17364817766693030000;
	y[15] = -0.07473009358642426800;
	y[16] = 0.02493069173807303500;
	y[17] = 0.12434370464748527000;
	y[18] = 0.22252093395631445000;
	y[19] = 0.31848665025168443000;
	y[20] = 0.41128710313061151000;
	y[21] = 0.50000000000000033000;
	y[22] = 0.58374367223478973000;
	y[23] = 0.66168583759685928000;
	y[24] = 0.73305187182982645000;
	y[25] = 0.79713250722292250000;
	y[26] = 0.85329088163215572000;
	y[27] = 0.90096886790241915000;
	y[28] = 0.93969262078590832000;
	y[29] = 0.96907728622907796000;
	y[30] = 0.98883082622512852000;
	y[31] = 0.99875692121892234000;
	y[32] = 0.99875692121892234000;
	y[33] = 0.98883082622512852000;
	y[34] = 0.96907728622907796000;
	y[35] = 0.93969262078590832000;
	y[36] = 0.90096886790241915000;
	y[37] = 0.85329088163215572000;
	y[38] = 0.79713250722292250000;
	y[39] = 0.73305187182982645000;
	y[40] = 0.66168583759685962000;
	y[41] = 0.58374367223479051000;
	y[42] = 0.49999999999999950000;
	y[43] = 0.41128710313061151000;
	y[44] = 0.31848665025168482000;
	y[45] = 0.22252093395631445000;
	y[46] = 0.12434370464748572000;
	y[47] = 0.02493069173807303500;
	y[48] = -0.07473009358642449000;
	y[49] = -0.17364817766693008000;
	y[50] = -0.27084046814300522000;
	y[51] = -0.36534102436639465000;
	y[52] = -0.45621065735316296000;
	y[53] = -0.54254626386575977000;
	y[54] = -0.62348980185873348000;
	y[55] = -0.69823681808607307000;
	y[56] = -0.76604444311897790000;
	y[57] = -0.82623877431599446000;
	y[58] = -0.87822157337022844000;
	y[59] = -0.92147621187040774000;
	y[60] = -0.95557280578614057000;
	y[61] = -0.98017248784854383000;
	y[62] = -0.99503077536540141000;
	y[63] = -1.00000000000000000000;


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