// Copyright 2009 the Sputnik authors. All rights reserved. // This code is governed by the BSD license found in the LICENSE file. /** * Math.sin it is recommended that implementations use the approximation algorithms for IEEE 754 arithmetic contained in fdlibm * * @path ch15/15.8/15.8.2/15.8.2.16/S15.8.2.16_A7.js * @description Checking if Math.sin is approximately equals to its mathematical values on the set of 64 argument values; all the sample values is calculated with LibC */ $INCLUDE("math_precision.js"); $INCLUDE("math_isequal.js"); // CHECK#1 vnum = 64; var x = new Array(); x[0] = 0.00000000000000000000; x[1] = 0.09973310011396169200; x[2] = 0.19946620022792338000; x[3] = 0.29919930034188508000; x[4] = 0.39893240045584677000; x[5] = 0.49866550056980841000; x[6] = 0.59839860068377015000; x[7] = 0.69813170079773179000; x[8] = 0.79786480091169354000; x[9] = 0.89759790102565518000; x[10] = 0.99733100113961681000; x[11] = 1.09706410125357840000; x[12] = 1.19679720136754030000; x[13] = 1.29653030148150190000; x[14] = 1.39626340159546360000; x[15] = 1.49599650170942520000; x[16] = 1.59572960182338710000; x[17] = 1.69546270193734870000; x[18] = 1.79519580205131040000; x[19] = 1.89492890216527200000; x[20] = 1.99466200227923360000; x[21] = 2.09439510239319570000; x[22] = 2.19412820250715690000; x[23] = 2.29386130262111850000; x[24] = 2.39359440273508060000; x[25] = 2.49332750284904230000; x[26] = 2.59306060296300390000; x[27] = 2.69279370307696550000; x[28] = 2.79252680319092720000; x[29] = 2.89225990330488880000; x[30] = 2.99199300341885040000; x[31] = 3.09172610353281210000; x[32] = 3.19145920364677420000; x[33] = 3.29119230376073580000; x[34] = 3.39092540387469740000; x[35] = 3.49065850398865910000; x[36] = 3.59039160410262070000; x[37] = 3.69012470421658230000; x[38] = 3.78985780433054400000; x[39] = 3.88959090444450560000; x[40] = 3.98932400455846730000; x[41] = 4.08905710467242840000; x[42] = 4.18879020478639140000; x[43] = 4.28852330490035260000; x[44] = 4.38825640501431380000; x[45] = 4.48798950512827590000; x[46] = 4.58772260524223710000; x[47] = 4.68745570535619920000; x[48] = 4.78718880547016120000; x[49] = 4.88692190558412240000; x[50] = 4.98665500569808450000; x[51] = 5.08638810581204570000; x[52] = 5.18612120592600780000; x[53] = 5.28585430603996990000; x[54] = 5.38558740615393110000; x[55] = 5.48532050626789310000; x[56] = 5.58505360638185430000; x[57] = 5.68478670649581550000; x[58] = 5.78451980660977760000; x[59] = 5.88425290672373970000; x[60] = 5.98398600683770090000; x[61] = 6.08371910695166300000; x[62] = 6.18345220706562420000; x[63] = 6.28318530717958620000; var y = new Array(); y[0] = 0.00000000000000000000; y[1] = 0.09956784659581666100; y[2] = 0.19814614319939758000; y[3] = 0.29475517441090421000; y[4] = 0.38843479627469474000; y[5] = 0.47825397862131819000; y[6] = 0.56332005806362206000; y[7] = 0.64278760968653925000; y[8] = 0.71586684925971844000; y[9] = 0.78183148246802980000; y[10] = 0.84002592315077140000; y[11] = 0.88987180881146855000; y[12] = 0.93087374864420425000; y[13] = 0.96262424695001203000; y[14] = 0.98480775301220802000; y[15] = 0.99720379718118013000; y[16] = 0.99968918200081625000; y[17] = 0.99223920660017206000; y[18] = 0.97492791218182362000; y[19] = 0.94792734616713181000; y[20] = 0.91150585231167325000; y[21] = 0.86602540378443849000; y[22] = 0.81193800571585661000; y[23] = 0.74978120296773443000; y[24] = 0.68017273777091936000; y[25] = 0.60380441032547738000; y[26] = 0.52143520337949811000; y[27] = 0.43388373911755823000; y[28] = 0.34202014332566888000; y[29] = 0.24675739769029384000; y[30] = 0.14904226617617472000; y[31] = 0.04984588566069748200; y[32] = -0.04984588566069723300; y[33] = -0.14904226617617447000; y[34] = -0.24675739769029362000; y[35] = -0.34202014332566866000; y[36] = -0.43388373911755801000; y[37] = -0.52143520337949789000; y[38] = -0.60380441032547716000; y[39] = -0.68017273777091913000; y[40] = -0.74978120296773398000; y[41] = -0.81193800571585595000; y[42] = -0.86602540378443882000; y[43] = -0.91150585231167314000; y[44] = -0.94792734616713159000; y[45] = -0.97492791218182362000; y[46] = -0.99223920660017195000; y[47] = -0.99968918200081625000; y[48] = -0.99720379718118013000; y[49] = -0.98480775301220813000; y[50] = -0.96262424695001203000; y[51] = -0.93087374864420447000; y[52] = -0.88987180881146866000; y[53] = -0.84002592315077129000; y[54] = -0.78183148246802991000; y[55] = -0.71586684925971833000; y[56] = -0.64278760968653958000; y[57] = -0.56332005806362273000; y[58] = -0.47825397862131858000; y[59] = -0.38843479627469474000; y[60] = -0.29475517441090471000; y[61] = -0.19814614319939772000; y[62] = -0.09956784659581728600; y[63] = -0.0000000000000002449293598294706400; var val; for (i = 0; i < vnum; i++) { val = Math.sin(x[i]); if (!isEqual(val, y[i])) { $ERROR("\nx = " + x[i] + "\nlibc.sin(x) = " + y[i] + "\nMath.sin(x) = " + Math.sin(x[i]) + "\nMath.abs(libc.sin(x) - Math.sin(x)) > " + prec + "\n\n"); } }