// Copyright 2009 the Sputnik authors. All rights reserved. // This code is governed by the BSD license found in the LICENSE file. /*--- info: > Math.exp, recommended that implementations use the approximation algorithms for IEEE 754 arithmetic contained in fdlibm es5id: 15.8.2.8_A6 description: > Checking if Math.exp 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 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] = 0.0000001125351747192591200; y[1] = 0.0000001870175279627160400; y[2] = 0.0000003107966540465112000; y[3] = 0.0000005165000372893601900; y[4] = 0.0000008583499373194266000; y[5] = 0.000001426456073000250500; y[6] = 0.000002370568039596737700; y[7] = 0.000003939548463303105900; y[8] = 0.000006546971795567619300; y[9] = 0.00001088014022196331600; y[10] = 0.00001808125266855845500; y[11] = 0.00003004848204109428100; y[12] = 0.00004993632297081056800; y[13] = 0.00008298709893014922600; y[14] = 0.0001379128093365619200; y[15] = 0.0002291915638009238700; y[16] = 0.0003808839307255494700; y[17] = 0.0006329751683659501200; y[18] = 0.001051915114939835700; y[19] = 0.001748133993779607700; y[20] = 0.002905151201656255000; y[21] = 0.004827949993831437100; y[22] = 0.008023369361859111100; y[23] = 0.01333370395283075800; y[24] = 0.02215872822045164600; y[25] = 0.03682466913056056000; y[26] = 0.06119738655956222900; y[27] = 0.1017013923042267600; y[28] = 0.1690133154060659600; y[29] = 0.2808762017642814100; y[30] = 0.4667764816516809500; y[31] = 0.7757164275739275600; y[32] = 1.289130878828392400; y[33] = 2.142353009006615400; y[34] = 3.560287392519015300; y[35] = 5.916693590664334800; y[36] = 9.832707078469738300; y[37] = 16.340567076777361000; y[38] = 27.155709029035226000; y[39] = 45.128943775619703000; y[40] = 74.997915323273489000; y[41] = 124.635917268588530000; y[42] = 207.127248889834330000; y[43] = 344.216163148372520000; y[44] = 572.038529974419700000; y[45] = 950.647049174870860000; y[46] = 1579.840805732611900000; y[47] = 2625.471749609100700000; y[48] = 4363.162340777078500000; y[49] = 7250.958085841060000000; y[50] = 12050.065767953940000000; y[51] = 20025.503291152076000000; y[52] = 33279.551314186152000000; y[53] = 55305.902656783459000000; y[54] = 91910.580157904318000000; y[55] = 152742.371775148380000000; y[56] = 253836.197045168550000000; y[57] = 421839.822058054970000000; y[58] = 701038.061338060300000000; y[59] = 1165026.006902193900000000; y[60] = 1936108.282291886200000000; y[61] = 3217537.856280616000000000; y[62] = 5347092.386973262800000000; y[63] = 8886110.520507872100000000; var val; for (i = 0; i < vnum; i++) { val = Math.exp(x[i]); if (!isEqual(val, y[i])) { $ERROR("\nx = " + x[i] + "\nlibc.exp(x) = " + y[i] + "\nMath.exp(x) = " + Math.exp(x[i]) + "\nMath.abs(libc.exp(x) - Math.exp(x)) > " + prec + "\n\n"); } }