// Copyright 2009 the Sputnik authors. All rights reserved. // This code is governed by the BSD license found in the LICENSE file. /*--- info: > Math.sqrt, recommended that implementations use the approximation algorithms for IEEE 754 arithmetic contained in fdlibm es5id: 15.8.2.17_A6 description: > Checking if Math.sqrt is approximately equals to its mathematical values on the set of 64 argument values; all the sample values is calculated with LibC includes: - math_precision.js - math_isequal.js ---*/ // CHECK#1 var vnum = 64; var x = new Array(); x[0] = 0.00000000000000000000; x[1] = 0.25396825396825395000; x[2] = 0.50793650793650791000; x[3] = 0.76190476190476186000; x[4] = 1.01587301587301580000; x[5] = 1.26984126984126980000; x[6] = 1.52380952380952370000; x[7] = 1.77777777777777770000; x[8] = 2.03174603174603160000; x[9] = 2.28571428571428560000; x[10] = 2.53968253968253950000; x[11] = 2.79365079365079350000; x[12] = 3.04761904761904740000; x[13] = 3.30158730158730140000; x[14] = 3.55555555555555540000; x[15] = 3.80952380952380930000; x[16] = 4.06349206349206330000; x[17] = 4.31746031746031720000; x[18] = 4.57142857142857120000; x[19] = 4.82539682539682510000; x[20] = 5.07936507936507910000; x[21] = 5.33333333333333300000; x[22] = 5.58730158730158700000; x[23] = 5.84126984126984090000; x[24] = 6.09523809523809490000; x[25] = 6.34920634920634890000; x[26] = 6.60317460317460280000; x[27] = 6.85714285714285680000; x[28] = 7.11111111111111070000; x[29] = 7.36507936507936470000; x[30] = 7.61904761904761860000; x[31] = 7.87301587301587260000; x[32] = 8.12698412698412650000; x[33] = 8.38095238095238140000; x[34] = 8.63492063492063440000; x[35] = 8.88888888888888930000; x[36] = 9.14285714285714230000; x[37] = 9.39682539682539720000; x[38] = 9.65079365079365030000; x[39] = 9.90476190476190510000; x[40] = 10.15873015873015800000; x[41] = 10.41269841269841300000; x[42] = 10.66666666666666600000; x[43] = 10.92063492063492100000; x[44] = 11.17460317460317400000; x[45] = 11.42857142857142900000; x[46] = 11.68253968253968200000; x[47] = 11.93650793650793700000; x[48] = 12.19047619047619000000; x[49] = 12.44444444444444500000; x[50] = 12.69841269841269800000; x[51] = 12.95238095238095300000; x[52] = 13.20634920634920600000; x[53] = 13.46031746031746000000; x[54] = 13.71428571428571400000; x[55] = 13.96825396825396800000; x[56] = 14.22222222222222100000; x[57] = 14.47619047619047600000; x[58] = 14.73015873015872900000; x[59] = 14.98412698412698400000; x[60] = 15.23809523809523700000; x[61] = 15.49206349206349200000; x[62] = 15.74603174603174500000; x[63] = 16.00000000000000000000; var y = new Array(); y[0] = 0.00000000000000000000; y[1] = 0.50395263067896967000; y[2] = 0.71269664509979835000; y[3] = 0.87287156094396945000; y[4] = 1.00790526135793930000; y[5] = 1.12687233963802200000; y[6] = 1.23442679969673530000; y[7] = 1.33333333333333330000; y[8] = 1.42539329019959670000; y[9] = 1.51185789203690880000; y[10] = 1.59363814577919150000; y[11] = 1.67142178807468980000; y[12] = 1.74574312188793890000; y[13] = 1.81702705031799170000; y[14] = 1.88561808316412670000; y[15] = 1.95180014589706640000; y[16] = 2.01581052271587870000; y[17] = 2.07784992659727900000; y[18] = 2.13808993529939520000; y[19] = 2.19667858946110380000; y[20] = 2.25374467927604400000; y[21] = 2.30940107675850290000; y[22] = 2.36374736114111530000; y[23] = 2.41687191246657520000; y[24] = 2.46885359939347060000; y[25] = 2.51976315339484810000; y[26] = 2.56966429775848400000; y[27] = 2.61861468283190830000; y[28] = 2.66666666666666650000; y[29] = 2.71386797119523940000; y[30] = 2.76026223736941700000; y[31] = 2.80588949764880670000; y[32] = 2.85078658039919340000; y[33] = 2.89498745782298350000; y[34] = 2.93852354676981160000; y[35] = 2.98142396999971960000; y[36] = 3.02371578407381760000; y[37] = 3.06542417893925380000; y[38] = 3.10657265339049320000; y[39] = 3.14718316987777280000; y[40] = 3.18727629155838300000; y[41] = 3.22687130401855570000; y[42] = 3.26598632371090410000; y[43] = 3.30463839483761390000; y[44] = 3.34284357614937950000; y[45] = 3.38061701891406630000; y[46] = 3.41797303712883060000; y[47] = 3.45492517089848670000; y[48] = 3.49148624377587780000; y[49] = 3.52766841475278750000; y[50] = 3.56348322549899170000; y[51] = 3.59894164336974940000; y[52] = 3.63405410063598340000; y[53] = 3.66883053033489940000; y[54] = 3.70328039909020570000; y[55] = 3.73741273720925400000; y[56] = 3.77123616632825340000; y[57] = 3.80475892484536750000; y[58] = 3.83798889135426350000; y[59] = 3.87093360626696680000; y[60] = 3.90360029179413280000; y[61] = 3.93599587043272870000; y[62] = 3.96812698209517300000; y[63] = 4.00000000000000000000; var val; for (var i = 0; i < vnum; i++) { val = Math.sqrt(x[i]); if (!isEqual(val, y[i])) { $ERROR("\nx = " + x[i] + "\nlibc.sqrt(x) = " + y[i] + "\nMath.sqrt(x) = " + Math.sqrt(x[i]) + "\nMath.abs(libc.sqrt(x) - Math.sqrt(x)) > " + prec + "\n\n"); } }