LayoutTests/sputnik/Conformance/15_Native_Objects/15.8_Math/15.8.2/15.8.2.4_atan/S15.8.2.4_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>S15.8.2.4_A6</p>
 <div id='console'></div>
 <script>
 try {

 /**
  * @name: S15.8.2.4_A6;
  * @section: 15.8.2.4;
  * @assertion: Math.atan, recommended that implementations use the approximation algorithms for IEEE 754 arithmetic contained in fdlibm;
  * @description: Checking if Math.atan 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] = -16.00000000000000000000;
 x[1] = -15.49206349206349200000;
 x[2] = -14.98412698412698400000;
 x[3] = -14.47619047619047600000;
 x[4] = -13.96825396825396800000;
 x[5] = -13.46031746031746000000;
 x[6] = -12.95238095238095300000;
 x[7] = -12.44444444444444500000;
 x[8] = -11.93650793650793700000;
 x[9] = -11.42857142857142900000;
 x[10] = -10.92063492063492100000;
 x[11] = -10.41269841269841300000;
 x[12] = -9.90476190476190510000;
 x[13] = -9.39682539682539720000;
 x[14] = -8.88888888888888930000;
 x[15] = -8.38095238095238140000;
 x[16] = -7.87301587301587350000;
 x[17] = -7.36507936507936560000;
 x[18] = -6.85714285714285770000;
 x[19] = -6.34920634920634970000;
 x[20] = -5.84126984126984180000;
 x[21] = -5.33333333333333390000;
 x[22] = -4.82539682539682600000;
 x[23] = -4.31746031746031810000;
 x[24] = -3.80952380952381020000;
 x[25] = -3.30158730158730230000;
 x[26] = -2.79365079365079440000;
 x[27] = -2.28571428571428650000;
 x[28] = -1.77777777777777860000;
 x[29] = -1.26984126984127070000;
 x[30] = -0.76190476190476275000;
 x[31] = -0.25396825396825484000;
 x[32] = 0.25396825396825307000;
 x[33] = 0.76190476190476275000;
 x[34] = 1.26984126984126890000;
 x[35] = 1.77777777777777860000;
 x[36] = 2.28571428571428470000;
 x[37] = 2.79365079365079440000;
 x[38] = 3.30158730158730050000;
 x[39] = 3.80952380952381020000;
 x[40] = 4.31746031746031630000;
 x[41] = 4.82539682539682600000;
 x[42] = 5.33333333333333210000;
 x[43] = 5.84126984126984180000;
 x[44] = 6.34920634920634800000;
 x[45] = 6.85714285714285770000;
 x[46] = 7.36507936507936380000;
 x[47] = 7.87301587301587350000;
 x[48] = 8.38095238095237960000;
 x[49] = 8.88888888888888930000;
 x[50] = 9.39682539682539540000;
 x[51] = 9.90476190476190510000;
 x[52] = 10.41269841269841100000;
 x[53] = 10.92063492063492100000;
 x[54] = 11.42857142857142700000;
 x[55] = 11.93650793650793700000;
 x[56] = 12.44444444444444300000;
 x[57] = 12.95238095238095300000;
 x[58] = 13.46031746031745900000;
 x[59] = 13.96825396825396800000;
 x[60] = 14.47619047619047400000;
 x[61] = 14.98412698412698400000;
 x[62] = 15.49206349206349000000;
 x[63] = 16.00000000000000000000;


 var y = new Array();
 y[0] = -1.50837751679893930000;
 y[1] = -1.50633657314382670000;
 y[2] = -1.50415785436419310000;
 y[3] = -1.50182694519358660000;
 y[4] = -1.49932735026103090000;
 y[5] = -1.49664010557682300000;
 y[6] = -1.49374329974393950000;
 y[7] = -1.49061147949358030000;
 y[8] = -1.48721490565349580000;
 y[9] = -1.48351861384543530000;
 y[10] = -1.47948121756761840000;
 y[11] = -1.47505336756015580000;
 y[12] = -1.47017574693777100000;
 y[13] = -1.46477643093971600000;
 y[14] = -1.45876736436890870000;
 y[15] = -1.45203959426707030000;
 y[16] = -1.44445671565255360000;
 y[17] = -1.43584570229039390000;
 y[18] = -1.42598382855595760000;
 y[19] = -1.41457960835077490000;
 y[20] = -1.40124433129607070000;
 y[21] = -1.38544837679920190000;
 y[22] = -1.36645204745321510000;
 y[23] = -1.34319210978762000000;
 y[24] = -1.31408799636151090000;
 y[25] = -1.27669520176831860000;
 y[26] = -1.22705270315911450000;
 y[27] = -1.15838588519750950000;
 y[28] = -1.05840686648415900000;
 y[29] = -0.90372394590298166000;
 y[30] = -0.65107672144448037000;
 y[31] = -0.24870998909352368000;
 y[32] = 0.24870998909352202000;
 y[33] = 0.65107672144448037000;
 y[34] = 0.90372394590298100000;
 y[35] = 1.05840686648415900000;
 y[36] = 1.15838588519750910000;
 y[37] = 1.22705270315911450000;
 y[38] = 1.27669520176831840000;
 y[39] = 1.31408799636151090000;
 y[40] = 1.34319210978761980000;
 y[41] = 1.36645204745321510000;
 y[42] = 1.38544837679920190000;
 y[43] = 1.40124433129607070000;
 y[44] = 1.41457960835077490000;
 y[45] = 1.42598382855595760000;
 y[46] = 1.43584570229039390000;
 y[47] = 1.44445671565255360000;
 y[48] = 1.45203959426707030000;
 y[49] = 1.45876736436890870000;
 y[50] = 1.46477643093971600000;
 y[51] = 1.47017574693777100000;
 y[52] = 1.47505336756015580000;
 y[53] = 1.47948121756761840000;
 y[54] = 1.48351861384543530000;
 y[55] = 1.48721490565349580000;
 y[56] = 1.49061147949358030000;
 y[57] = 1.49374329974393950000;
 y[58] = 1.49664010557682300000;
 y[59] = 1.49932735026103090000;
 y[60] = 1.50182694519358660000;
 y[61] = 1.50415785436419310000;
 y[62] = 1.50633657314382670000;
 y[63] = 1.50837751679893930000;


 var val;
 for (i = 0; i < vnum; i++)
 {
 	val = Math.atan(x[i]);
 	if (!isEqual(val, y[i]))
 	{
 		testFailed("\nx = " + x[i] + "\nlibc.atan(x) = " + y[i] + "\nMath.atan(x) = " + Math.atan(x[i]) + "\nMath.abs(libc.atan(x) - Math.atan(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>S15.8.2.4_A6</p>
	<div id='console'></div>
	<script>
	try {

	/**
	* @name: S15.8.2.4_A6;
	* @section: 15.8.2.4;
	* @assertion: Math.atan, recommended that implementations use the approximation algorithms for IEEE 754 arithmetic contained in fdlibm;
	* @description: Checking if Math.atan 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] = -16.00000000000000000000;
	x[1] = -15.49206349206349200000;
	x[2] = -14.98412698412698400000;
	x[3] = -14.47619047619047600000;
	x[4] = -13.96825396825396800000;
	x[5] = -13.46031746031746000000;
	x[6] = -12.95238095238095300000;
	x[7] = -12.44444444444444500000;
	x[8] = -11.93650793650793700000;
	x[9] = -11.42857142857142900000;
	x[10] = -10.92063492063492100000;
	x[11] = -10.41269841269841300000;
	x[12] = -9.90476190476190510000;
	x[13] = -9.39682539682539720000;
	x[14] = -8.88888888888888930000;
	x[15] = -8.38095238095238140000;
	x[16] = -7.87301587301587350000;
	x[17] = -7.36507936507936560000;
	x[18] = -6.85714285714285770000;
	x[19] = -6.34920634920634970000;
	x[20] = -5.84126984126984180000;
	x[21] = -5.33333333333333390000;
	x[22] = -4.82539682539682600000;
	x[23] = -4.31746031746031810000;
	x[24] = -3.80952380952381020000;
	x[25] = -3.30158730158730230000;
	x[26] = -2.79365079365079440000;
	x[27] = -2.28571428571428650000;
	x[28] = -1.77777777777777860000;
	x[29] = -1.26984126984127070000;
	x[30] = -0.76190476190476275000;
	x[31] = -0.25396825396825484000;
	x[32] = 0.25396825396825307000;
	x[33] = 0.76190476190476275000;
	x[34] = 1.26984126984126890000;
	x[35] = 1.77777777777777860000;
	x[36] = 2.28571428571428470000;
	x[37] = 2.79365079365079440000;
	x[38] = 3.30158730158730050000;
	x[39] = 3.80952380952381020000;
	x[40] = 4.31746031746031630000;
	x[41] = 4.82539682539682600000;
	x[42] = 5.33333333333333210000;
	x[43] = 5.84126984126984180000;
	x[44] = 6.34920634920634800000;
	x[45] = 6.85714285714285770000;
	x[46] = 7.36507936507936380000;
	x[47] = 7.87301587301587350000;
	x[48] = 8.38095238095237960000;
	x[49] = 8.88888888888888930000;
	x[50] = 9.39682539682539540000;
	x[51] = 9.90476190476190510000;
	x[52] = 10.41269841269841100000;
	x[53] = 10.92063492063492100000;
	x[54] = 11.42857142857142700000;
	x[55] = 11.93650793650793700000;
	x[56] = 12.44444444444444300000;
	x[57] = 12.95238095238095300000;
	x[58] = 13.46031746031745900000;
	x[59] = 13.96825396825396800000;
	x[60] = 14.47619047619047400000;
	x[61] = 14.98412698412698400000;
	x[62] = 15.49206349206349000000;
	x[63] = 16.00000000000000000000;



	var y = new Array();
	y[0] = -1.50837751679893930000;
	y[1] = -1.50633657314382670000;
	y[2] = -1.50415785436419310000;
	y[3] = -1.50182694519358660000;
	y[4] = -1.49932735026103090000;
	y[5] = -1.49664010557682300000;
	y[6] = -1.49374329974393950000;
	y[7] = -1.49061147949358030000;
	y[8] = -1.48721490565349580000;
	y[9] = -1.48351861384543530000;
	y[10] = -1.47948121756761840000;
	y[11] = -1.47505336756015580000;
	y[12] = -1.47017574693777100000;
	y[13] = -1.46477643093971600000;
	y[14] = -1.45876736436890870000;
	y[15] = -1.45203959426707030000;
	y[16] = -1.44445671565255360000;
	y[17] = -1.43584570229039390000;
	y[18] = -1.42598382855595760000;
	y[19] = -1.41457960835077490000;
	y[20] = -1.40124433129607070000;
	y[21] = -1.38544837679920190000;
	y[22] = -1.36645204745321510000;
	y[23] = -1.34319210978762000000;
	y[24] = -1.31408799636151090000;
	y[25] = -1.27669520176831860000;
	y[26] = -1.22705270315911450000;
	y[27] = -1.15838588519750950000;
	y[28] = -1.05840686648415900000;
	y[29] = -0.90372394590298166000;
	y[30] = -0.65107672144448037000;
	y[31] = -0.24870998909352368000;
	y[32] = 0.24870998909352202000;
	y[33] = 0.65107672144448037000;
	y[34] = 0.90372394590298100000;
	y[35] = 1.05840686648415900000;
	y[36] = 1.15838588519750910000;
	y[37] = 1.22705270315911450000;
	y[38] = 1.27669520176831840000;
	y[39] = 1.31408799636151090000;
	y[40] = 1.34319210978761980000;
	y[41] = 1.36645204745321510000;
	y[42] = 1.38544837679920190000;
	y[43] = 1.40124433129607070000;
	y[44] = 1.41457960835077490000;
	y[45] = 1.42598382855595760000;
	y[46] = 1.43584570229039390000;
	y[47] = 1.44445671565255360000;
	y[48] = 1.45203959426707030000;
	y[49] = 1.45876736436890870000;
	y[50] = 1.46477643093971600000;
	y[51] = 1.47017574693777100000;
	y[52] = 1.47505336756015580000;
	y[53] = 1.47948121756761840000;
	y[54] = 1.48351861384543530000;
	y[55] = 1.48721490565349580000;
	y[56] = 1.49061147949358030000;
	y[57] = 1.49374329974393950000;
	y[58] = 1.49664010557682300000;
	y[59] = 1.49932735026103090000;
	y[60] = 1.50182694519358660000;
	y[61] = 1.50415785436419310000;
	y[62] = 1.50633657314382670000;
	y[63] = 1.50837751679893930000;




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