// Copyright 2009 the Sputnik authors. All rights reserved. // This code is governed by the BSD license found in the LICENSE file. /** * Sine is a periodic function with period 2*PI * * @path ch15/15.8/15.8.2/15.8.2.16/S15.8.2.16_A6.js * @description Checking if Math.sin(x) equals to Math.sin(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 0 to 2*Math.PI */ // 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.sin(x[i]); curx = x[i] + period; j = 0; while (curx <= b) { curx += period; j++; if (Math.abs(Math.sin(curx) - curval) >= prec) { $FAIL("#1: sin is found out to not be periodic:\n Math.abs(Math.sin(" + x[i] + ") - Math.sin(" + x[i] + " + 2*Math.PI*" + j + ")) >= " + prec + "\n Math.sin(" + x[i] + ") === " + curval + "\n Math.sin(" + curx + ") === " + Math.sin(curx)); } } }