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// Copyright 2009 the Sputnik authors. All rights reserved.
// This code is governed by the BSD license found in the LICENSE file.
/**
* @name: S15.8.2.7_A6;
* @section: 15.8.2.7;
* @assertion: Cosine is a periodic function with period 2*PI;
* @description: Checking if Math.cos(x) equals to Math.cos(x+n*2*Math.PI) with precision 0.000000000003, where n is an integer from 1 to 100 and x is one of 10 float point values from -Math.PI to +Math.PI;
*/
// Converted for Test262 from original Sputnik source
ES5Harness.registerTest( {
id: "S15.8.2.7_A6",
path: "TestCases/15_Native/15.8_The_Math_Object/15.8.2_Function_Properties_of_the_Math_Object/15.8.2.7_cos/S15.8.2.7_A6.js",
assertion: "Cosine is a periodic function with period 2*PI",
description: "Checking if Math.cos(x) equals to Math.cos(x+n*2*Math.PI) with precision 0.000000000003, where n is an integer from 1 to 100 and x is one of 10 float point values from -Math.PI to +Math.PI",
test: function testcase() {
// CHECK#1
prec = 0.000000000003;
//prec = 0.000000000000001;
period = 2*Math.PI;
pernum = 100;
a = -pernum * period;
b = pernum * period;
snum = 9;
step = period/snum + 0.0;
x = new Array();
for (i = 0; i < snum; i++)
{
x[i] = a + i*step;
}
x[9] = a + period;
var curval;
var curx;
var j;
for (i = 0; i < snum; i++)
{
curval = Math.cos(x[i]);
curx = x[i] + period;
j = 0;
while (curx <= b)
{
curx += period;
j++;
if (Math.abs(Math.cos(curx) - curval) >= prec)
{
$FAIL("#1: cos is found out to not be periodic:\n Math.abs(Math.cos(" + x[i] + ") - Math.cos(" + x[i] + " + 2*Math.PI*" + j + ")) >= " + prec + "\n Math.cos(" + x[i] + ") === " + curval + "\n Math.cos(" + curx + ") === " + Math.cos(curx));
}
}
}
}
});
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