LayoutTests/sputnik/Conformance/15_Native_Objects/15.8_Math/15.8.2/15.8.2.16_sin/S15.8.2.16_A7.html - WebKit - Git at Google

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 <meta charset='utf-8'>
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 .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>S15.8.2.16_A7</p>
 <div id='console'></div>
 <script>
 try {

 /**
  * @name: S15.8.2.16_A7;
  * @section: 15.8.2.16;
  * @assertion: Math.sin it is recommended that implementations use the approximation algorithms for IEEE 754 arithmetic contained in fdlibm;
  * @description: Checking if Math.sin 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] = 0.00000000000000000000;
 x[1] = 0.09973310011396169200;
 x[2] = 0.19946620022792338000;
 x[3] = 0.29919930034188508000;
 x[4] = 0.39893240045584677000;
 x[5] = 0.49866550056980841000;
 x[6] = 0.59839860068377015000;
 x[7] = 0.69813170079773179000;
 x[8] = 0.79786480091169354000;
 x[9] = 0.89759790102565518000;
 x[10] = 0.99733100113961681000;
 x[11] = 1.09706410125357840000;
 x[12] = 1.19679720136754030000;
 x[13] = 1.29653030148150190000;
 x[14] = 1.39626340159546360000;
 x[15] = 1.49599650170942520000;
 x[16] = 1.59572960182338710000;
 x[17] = 1.69546270193734870000;
 x[18] = 1.79519580205131040000;
 x[19] = 1.89492890216527200000;
 x[20] = 1.99466200227923360000;
 x[21] = 2.09439510239319570000;
 x[22] = 2.19412820250715690000;
 x[23] = 2.29386130262111850000;
 x[24] = 2.39359440273508060000;
 x[25] = 2.49332750284904230000;
 x[26] = 2.59306060296300390000;
 x[27] = 2.69279370307696550000;
 x[28] = 2.79252680319092720000;
 x[29] = 2.89225990330488880000;
 x[30] = 2.99199300341885040000;
 x[31] = 3.09172610353281210000;
 x[32] = 3.19145920364677420000;
 x[33] = 3.29119230376073580000;
 x[34] = 3.39092540387469740000;
 x[35] = 3.49065850398865910000;
 x[36] = 3.59039160410262070000;
 x[37] = 3.69012470421658230000;
 x[38] = 3.78985780433054400000;
 x[39] = 3.88959090444450560000;
 x[40] = 3.98932400455846730000;
 x[41] = 4.08905710467242840000;
 x[42] = 4.18879020478639140000;
 x[43] = 4.28852330490035260000;
 x[44] = 4.38825640501431380000;
 x[45] = 4.48798950512827590000;
 x[46] = 4.58772260524223710000;
 x[47] = 4.68745570535619920000;
 x[48] = 4.78718880547016120000;
 x[49] = 4.88692190558412240000;
 x[50] = 4.98665500569808450000;
 x[51] = 5.08638810581204570000;
 x[52] = 5.18612120592600780000;
 x[53] = 5.28585430603996990000;
 x[54] = 5.38558740615393110000;
 x[55] = 5.48532050626789310000;
 x[56] = 5.58505360638185430000;
 x[57] = 5.68478670649581550000;
 x[58] = 5.78451980660977760000;
 x[59] = 5.88425290672373970000;
 x[60] = 5.98398600683770090000;
 x[61] = 6.08371910695166300000;
 x[62] = 6.18345220706562420000;
 // Result is implementation dependent and varies on platform as you approach limits.
 // e.g. Output approaches zero as input approaches PI * 2 (6.28318530717958647).
 // The value of 6.2831 for x[63] is chosen below as an arbitrary cut off point for
 // expecting a result within the validation's tolerance range.
 x[63] = 6.2831;


 var y = new Array();
 y[0] = 0.00000000000000000000;
 y[1] = 0.09956784659581666100;
 y[2] = 0.19814614319939758000;
 y[3] = 0.29475517441090421000;
 y[4] = 0.38843479627469474000;
 y[5] = 0.47825397862131819000;
 y[6] = 0.56332005806362206000;
 y[7] = 0.64278760968653925000;
 y[8] = 0.71586684925971844000;
 y[9] = 0.78183148246802980000;
 y[10] = 0.84002592315077140000;
 y[11] = 0.88987180881146855000;
 y[12] = 0.93087374864420425000;
 y[13] = 0.96262424695001203000;
 y[14] = 0.98480775301220802000;
 y[15] = 0.99720379718118013000;
 y[16] = 0.99968918200081625000;
 y[17] = 0.99223920660017206000;
 y[18] = 0.97492791218182362000;
 y[19] = 0.94792734616713181000;
 y[20] = 0.91150585231167325000;
 y[21] = 0.86602540378443849000;
 y[22] = 0.81193800571585661000;
 y[23] = 0.74978120296773443000;
 y[24] = 0.68017273777091936000;
 y[25] = 0.60380441032547738000;
 y[26] = 0.52143520337949811000;
 y[27] = 0.43388373911755823000;
 y[28] = 0.34202014332566888000;
 y[29] = 0.24675739769029384000;
 y[30] = 0.14904226617617472000;
 y[31] = 0.04984588566069748200;
 y[32] = -0.04984588566069723300;
 y[33] = -0.14904226617617447000;
 y[34] = -0.24675739769029362000;
 y[35] = -0.34202014332566866000;
 y[36] = -0.43388373911755801000;
 y[37] = -0.52143520337949789000;
 y[38] = -0.60380441032547716000;
 y[39] = -0.68017273777091913000;
 y[40] = -0.74978120296773398000;
 y[41] = -0.81193800571585595000;
 y[42] = -0.86602540378443882000;
 y[43] = -0.91150585231167314000;
 y[44] = -0.94792734616713159000;
 y[45] = -0.97492791218182362000;
 y[46] = -0.99223920660017195000;
 y[47] = -0.99968918200081625000;
 y[48] = -0.99720379718118013000;
 y[49] = -0.98480775301220813000;
 y[50] = -0.96262424695001203000;
 y[51] = -0.93087374864420447000;
 y[52] = -0.88987180881146866000;
 y[53] = -0.84002592315077129000;
 y[54] = -0.78183148246802991000;
 y[55] = -0.71586684925971833000;
 y[56] = -0.64278760968653958000;
 y[57] = -0.56332005806362273000;
 y[58] = -0.47825397862131858000;
 y[59] = -0.38843479627469474000;
 y[60] = -0.29475517441090471000;
 y[61] = -0.19814614319939772000;
 y[62] = -0.09956784659581728600;
 y[63] = -0.00008530717948287973;


 var val;
 for (i = 0; i < vnum; i++)
 {
 	val = Math.sin(x[i]);
 	if (!isEqual(val, y[i]))
 	{
 		testFailed("\nx = " + x[i] + "\nlibc.sin(x) = " + y[i] + "\nMath.sin(x) = " + Math.sin(x[i]) + "\nMath.abs(libc.sin(x) - Math.sin(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>S15.8.2.16_A7</p>
	<div id='console'></div>
	<script>
	try {

	/**
	* @name: S15.8.2.16_A7;
	* @section: 15.8.2.16;
	* @assertion: Math.sin it is recommended that implementations use the approximation algorithms for IEEE 754 arithmetic contained in fdlibm;
	* @description: Checking if Math.sin 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] = 0.00000000000000000000;
	x[1] = 0.09973310011396169200;
	x[2] = 0.19946620022792338000;
	x[3] = 0.29919930034188508000;
	x[4] = 0.39893240045584677000;
	x[5] = 0.49866550056980841000;
	x[6] = 0.59839860068377015000;
	x[7] = 0.69813170079773179000;
	x[8] = 0.79786480091169354000;
	x[9] = 0.89759790102565518000;
	x[10] = 0.99733100113961681000;
	x[11] = 1.09706410125357840000;
	x[12] = 1.19679720136754030000;
	x[13] = 1.29653030148150190000;
	x[14] = 1.39626340159546360000;
	x[15] = 1.49599650170942520000;
	x[16] = 1.59572960182338710000;
	x[17] = 1.69546270193734870000;
	x[18] = 1.79519580205131040000;
	x[19] = 1.89492890216527200000;
	x[20] = 1.99466200227923360000;
	x[21] = 2.09439510239319570000;
	x[22] = 2.19412820250715690000;
	x[23] = 2.29386130262111850000;
	x[24] = 2.39359440273508060000;
	x[25] = 2.49332750284904230000;
	x[26] = 2.59306060296300390000;
	x[27] = 2.69279370307696550000;
	x[28] = 2.79252680319092720000;
	x[29] = 2.89225990330488880000;
	x[30] = 2.99199300341885040000;
	x[31] = 3.09172610353281210000;
	x[32] = 3.19145920364677420000;
	x[33] = 3.29119230376073580000;
	x[34] = 3.39092540387469740000;
	x[35] = 3.49065850398865910000;
	x[36] = 3.59039160410262070000;
	x[37] = 3.69012470421658230000;
	x[38] = 3.78985780433054400000;
	x[39] = 3.88959090444450560000;
	x[40] = 3.98932400455846730000;
	x[41] = 4.08905710467242840000;
	x[42] = 4.18879020478639140000;
	x[43] = 4.28852330490035260000;
	x[44] = 4.38825640501431380000;
	x[45] = 4.48798950512827590000;
	x[46] = 4.58772260524223710000;
	x[47] = 4.68745570535619920000;
	x[48] = 4.78718880547016120000;
	x[49] = 4.88692190558412240000;
	x[50] = 4.98665500569808450000;
	x[51] = 5.08638810581204570000;
	x[52] = 5.18612120592600780000;
	x[53] = 5.28585430603996990000;
	x[54] = 5.38558740615393110000;
	x[55] = 5.48532050626789310000;
	x[56] = 5.58505360638185430000;
	x[57] = 5.68478670649581550000;
	x[58] = 5.78451980660977760000;
	x[59] = 5.88425290672373970000;
	x[60] = 5.98398600683770090000;
	x[61] = 6.08371910695166300000;
	x[62] = 6.18345220706562420000;
	// Result is implementation dependent and varies on platform as you approach limits.
	// e.g. Output approaches zero as input approaches PI * 2 (6.28318530717958647).
	// The value of 6.2831 for x[63] is chosen below as an arbitrary cut off point for
	// expecting a result within the validation's tolerance range.
	x[63] = 6.2831;


	var y = new Array();
	y[0] = 0.00000000000000000000;
	y[1] = 0.09956784659581666100;
	y[2] = 0.19814614319939758000;
	y[3] = 0.29475517441090421000;
	y[4] = 0.38843479627469474000;
	y[5] = 0.47825397862131819000;
	y[6] = 0.56332005806362206000;
	y[7] = 0.64278760968653925000;
	y[8] = 0.71586684925971844000;
	y[9] = 0.78183148246802980000;
	y[10] = 0.84002592315077140000;
	y[11] = 0.88987180881146855000;
	y[12] = 0.93087374864420425000;
	y[13] = 0.96262424695001203000;
	y[14] = 0.98480775301220802000;
	y[15] = 0.99720379718118013000;
	y[16] = 0.99968918200081625000;
	y[17] = 0.99223920660017206000;
	y[18] = 0.97492791218182362000;
	y[19] = 0.94792734616713181000;
	y[20] = 0.91150585231167325000;
	y[21] = 0.86602540378443849000;
	y[22] = 0.81193800571585661000;
	y[23] = 0.74978120296773443000;
	y[24] = 0.68017273777091936000;
	y[25] = 0.60380441032547738000;
	y[26] = 0.52143520337949811000;
	y[27] = 0.43388373911755823000;
	y[28] = 0.34202014332566888000;
	y[29] = 0.24675739769029384000;
	y[30] = 0.14904226617617472000;
	y[31] = 0.04984588566069748200;
	y[32] = -0.04984588566069723300;
	y[33] = -0.14904226617617447000;
	y[34] = -0.24675739769029362000;
	y[35] = -0.34202014332566866000;
	y[36] = -0.43388373911755801000;
	y[37] = -0.52143520337949789000;
	y[38] = -0.60380441032547716000;
	y[39] = -0.68017273777091913000;
	y[40] = -0.74978120296773398000;
	y[41] = -0.81193800571585595000;
	y[42] = -0.86602540378443882000;
	y[43] = -0.91150585231167314000;
	y[44] = -0.94792734616713159000;
	y[45] = -0.97492791218182362000;
	y[46] = -0.99223920660017195000;
	y[47] = -0.99968918200081625000;
	y[48] = -0.99720379718118013000;
	y[49] = -0.98480775301220813000;
	y[50] = -0.96262424695001203000;
	y[51] = -0.93087374864420447000;
	y[52] = -0.88987180881146866000;
	y[53] = -0.84002592315077129000;
	y[54] = -0.78183148246802991000;
	y[55] = -0.71586684925971833000;
	y[56] = -0.64278760968653958000;
	y[57] = -0.56332005806362273000;
	y[58] = -0.47825397862131858000;
	y[59] = -0.38843479627469474000;
	y[60] = -0.29475517441090471000;
	y[61] = -0.19814614319939772000;
	y[62] = -0.09956784659581728600;
	y[63] = -0.00008530717948287973;


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