/Lib/test/cmath_testcases.txt
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1-- Testcases for functions in cmath. 2-- 3-- Each line takes the form: 4-- 5-- <testid> <function> <input_value> -> <output_value> <flags> 6-- 7-- where: 8-- 9-- <testid> is a short name identifying the test, 10-- 11-- <function> is the function to be tested (exp, cos, asinh, ...), 12-- 13-- <input_value> is a pair of floats separated by whitespace 14-- representing real and imaginary parts of a complex number, and 15-- 16-- <output_value> is the expected (ideal) output value, again 17-- represented as a pair of floats. 18-- 19-- <flags> is a list of the floating-point flags required by C99 20-- 21-- The possible flags are: 22-- 23-- divide-by-zero : raised when a finite input gives a 24-- mathematically infinite result. 25-- 26-- overflow : raised when a finite input gives a finite result whose 27-- real or imaginary part is too large to fit in the usual range 28-- of an IEEE 754 double. 29-- 30-- invalid : raised for invalid inputs. 31-- 32-- ignore-real-sign : indicates that the sign of the real part of 33-- the result is unspecified; if the real part of the result is 34-- given as inf, then both -inf and inf should be accepted as 35-- correct. 36-- 37-- ignore-imag-sign : indicates that the sign of the imaginary part 38-- of the result is unspecified. 39-- 40-- Flags may appear in any order. 41-- 42-- Lines beginning with '--' (like this one) start a comment, and are 43-- ignored. Blank lines, or lines containing only whitespace, are also 44-- ignored. 45 46-- The majority of the values below were computed with the help of 47-- version 2.3 of the MPFR library for multiple-precision 48-- floating-point computations with correct rounding. All output 49-- values in this file are (modulo yet-to-be-discovered bugs) 50-- correctly rounded, provided that each input and output decimal 51-- floating-point value below is interpreted as a representation of 52-- the corresponding nearest IEEE 754 double-precision value. See the 53-- MPFR homepage at http://www.mpfr.org for more information about the 54-- MPFR project. 55 56 57-------------------------- 58-- acos: Inverse cosine -- 59-------------------------- 60 61-- zeros 62acos0000 acos 0.0 0.0 -> 1.5707963267948966 -0.0 63acos0001 acos 0.0 -0.0 -> 1.5707963267948966 0.0 64acos0002 acos -0.0 0.0 -> 1.5707963267948966 -0.0 65acos0003 acos -0.0 -0.0 -> 1.5707963267948966 0.0 66 67-- branch points: +/-1 68acos0010 acos 1.0 0.0 -> 0.0 -0.0 69acos0011 acos 1.0 -0.0 -> 0.0 0.0 70acos0012 acos -1.0 0.0 -> 3.1415926535897931 -0.0 71acos0013 acos -1.0 -0.0 -> 3.1415926535897931 0.0 72 73-- values along both sides of real axis 74acos0020 acos -9.8813129168249309e-324 0.0 -> 1.5707963267948966 -0.0 75acos0021 acos -9.8813129168249309e-324 -0.0 -> 1.5707963267948966 0.0 76acos0022 acos -1e-305 0.0 -> 1.5707963267948966 -0.0 77acos0023 acos -1e-305 -0.0 -> 1.5707963267948966 0.0 78acos0024 acos -1e-150 0.0 -> 1.5707963267948966 -0.0 79acos0025 acos -1e-150 -0.0 -> 1.5707963267948966 0.0 80acos0026 acos -9.9999999999999998e-17 0.0 -> 1.5707963267948968 -0.0 81acos0027 acos -9.9999999999999998e-17 -0.0 -> 1.5707963267948968 0.0 82acos0028 acos -0.001 0.0 -> 1.5717963269615634 -0.0 83acos0029 acos -0.001 -0.0 -> 1.5717963269615634 0.0 84acos0030 acos -0.57899999999999996 0.0 -> 2.1882979816120667 -0.0 85acos0031 acos -0.57899999999999996 -0.0 -> 2.1882979816120667 0.0 86acos0032 acos -0.99999999999999989 0.0 -> 3.1415926386886319 -0.0 87acos0033 acos -0.99999999999999989 -0.0 -> 3.1415926386886319 0.0 88acos0034 acos -1.0000000000000002 0.0 -> 3.1415926535897931 -2.1073424255447014e-08 89acos0035 acos -1.0000000000000002 -0.0 -> 3.1415926535897931 2.1073424255447014e-08 90acos0036 acos -1.0009999999999999 0.0 -> 3.1415926535897931 -0.044717633608306849 91acos0037 acos -1.0009999999999999 -0.0 -> 3.1415926535897931 0.044717633608306849 92acos0038 acos -2.0 0.0 -> 3.1415926535897931 -1.3169578969248168 93acos0039 acos -2.0 -0.0 -> 3.1415926535897931 1.3169578969248168 94acos0040 acos -23.0 0.0 -> 3.1415926535897931 -3.8281684713331012 95acos0041 acos -23.0 -0.0 -> 3.1415926535897931 3.8281684713331012 96acos0042 acos -10000000000000000.0 0.0 -> 3.1415926535897931 -37.534508668464674 97acos0043 acos -10000000000000000.0 -0.0 -> 3.1415926535897931 37.534508668464674 98acos0044 acos -9.9999999999999998e+149 0.0 -> 3.1415926535897931 -346.08091112966679 99acos0045 acos -9.9999999999999998e+149 -0.0 -> 3.1415926535897931 346.08091112966679 100acos0046 acos -1.0000000000000001e+299 0.0 -> 3.1415926535897931 -689.16608998577965 101acos0047 acos -1.0000000000000001e+299 -0.0 -> 3.1415926535897931 689.16608998577965 102acos0048 acos 9.8813129168249309e-324 0.0 -> 1.5707963267948966 -0.0 103acos0049 acos 9.8813129168249309e-324 -0.0 -> 1.5707963267948966 0.0 104acos0050 acos 1e-305 0.0 -> 1.5707963267948966 -0.0 105acos0051 acos 1e-305 -0.0 -> 1.5707963267948966 0.0 106acos0052 acos 1e-150 0.0 -> 1.5707963267948966 -0.0 107acos0053 acos 1e-150 -0.0 -> 1.5707963267948966 0.0 108acos0054 acos 9.9999999999999998e-17 0.0 -> 1.5707963267948966 -0.0 109acos0055 acos 9.9999999999999998e-17 -0.0 -> 1.5707963267948966 0.0 110acos0056 acos 0.001 0.0 -> 1.56979632662823 -0.0 111acos0057 acos 0.001 -0.0 -> 1.56979632662823 0.0 112acos0058 acos 0.57899999999999996 0.0 -> 0.95329467197772655 -0.0 113acos0059 acos 0.57899999999999996 -0.0 -> 0.95329467197772655 0.0 114acos0060 acos 0.99999999999999989 0.0 -> 1.4901161193847656e-08 -0.0 115acos0061 acos 0.99999999999999989 -0.0 -> 1.4901161193847656e-08 0.0 116acos0062 acos 1.0000000000000002 0.0 -> 0.0 -2.1073424255447014e-08 117acos0063 acos 1.0000000000000002 -0.0 -> 0.0 2.1073424255447014e-08 118acos0064 acos 1.0009999999999999 0.0 -> 0.0 -0.044717633608306849 119acos0065 acos 1.0009999999999999 -0.0 -> 0.0 0.044717633608306849 120acos0066 acos 2.0 0.0 -> 0.0 -1.3169578969248168 121acos0067 acos 2.0 -0.0 -> 0.0 1.3169578969248168 122acos0068 acos 23.0 0.0 -> 0.0 -3.8281684713331012 123acos0069 acos 23.0 -0.0 -> 0.0 3.8281684713331012 124acos0070 acos 10000000000000000.0 0.0 -> 0.0 -37.534508668464674 125acos0071 acos 10000000000000000.0 -0.0 -> 0.0 37.534508668464674 126acos0072 acos 9.9999999999999998e+149 0.0 -> 0.0 -346.08091112966679 127acos0073 acos 9.9999999999999998e+149 -0.0 -> 0.0 346.08091112966679 128acos0074 acos 1.0000000000000001e+299 0.0 -> 0.0 -689.16608998577965 129acos0075 acos 1.0000000000000001e+299 -0.0 -> 0.0 689.16608998577965 130 131-- random inputs 132acos0100 acos -3.3307113324596682 -10.732007530863266 -> 1.8706085694482339 3.113986806554613 133acos0101 acos -2863.952991743291 -2681013315.2571239 -> 1.5707973950301699 22.402607843274758 134acos0102 acos -0.33072639793220088 -0.85055464658253055 -> 1.8219426895922601 0.79250166729311966 135acos0103 acos -2.5722325842097802 -12.703940809821574 -> 1.7699942413107408 3.2565170156527325 136acos0104 acos -42.495233785459583 -0.54039320751337161 -> 3.1288732573153304 4.4424815519735601 137acos0105 acos -1.1363818625856401 9641.1325498630376 -> 1.5709141948820049 -9.8669410553254284 138acos0106 acos -2.4398426824157866e-11 0.33002051890266165 -> 1.570796326818066 -0.32430578041578667 139acos0107 acos -1.3521340428186552 2.9369737912076772 -> 1.9849059192339338 -1.8822893674117942 140acos0108 acos -1.827364706477915 1.0355459232147557 -> 2.5732246307960032 -1.4090688267854969 141acos0109 acos -0.25978373706403546 10.09712669185833 -> 1.5963940386378306 -3.0081673050196063 142acos0110 acos 0.33561778471072551 -4587350.6823999118 -> 1.5707962536333251 16.031960402579539 143acos0111 acos 0.49133444610998445 -0.8071422362990015 -> 1.1908761712801788 0.78573345813187867 144acos0112 acos 0.42196734507823974 -2.4812965431745115 -> 1.414091186100692 1.651707260988172 145acos0113 acos 2.961426210100655 -219.03295695248664 -> 1.5572768319822778 6.0824659885827304 146acos0114 acos 2.886209063652641 -20.38011207220606 -> 1.4302765252297889 3.718201853147642 147acos0115 acos 0.4180568075276509 1.4833433990823484 -> 1.3393834558303042 -1.2079847758301576 148acos0116 acos 52.376111405924718 0.013930429001941001 -> 0.00026601761804024188 -4.6515066691204714 149acos0117 acos 41637948387.625969 1.563418292894041 -> 3.7547918507883548e-11 -25.145424989809381 150acos0118 acos 0.061226659122249526 0.8447234394615154 -> 1.5240280306367315 -0.76791798971140812 151acos0119 acos 2.4480466420442959e+26 0.18002339201384662 -> 7.353756620564798e-28 -61.455650015996376 152 153-- values near infinity 154acos0200 acos 1.6206860518683021e+308 1.0308426226285283e+308 -> 0.56650826093826223 -710.54206874241561 155acos0201 acos 1.2067735875070062e+308 -1.3429173724390276e+308 -> 0.83874369390864889 710.48017794027498 156acos0202 acos -7.4130145132549047e+307 1.1759130543927645e+308 -> 2.1332729346478536 -710.21871115698752 157acos0203 acos -8.6329426442257249e+307 -1.2316282952184133e+308 -> 2.1821511032444838 710.29752145697148 158acos0204 acos 0.0 1.4289713855849746e+308 -> 1.5707963267948966 -710.24631069738996 159acos0205 acos -0.0 1.3153524545987432e+308 -> 1.5707963267948966 -710.1634604787539 160acos0206 acos 0.0 -9.6229037669269321e+307 -> 1.5707963267948966 709.85091679573691 161acos0207 acos -0.0 -4.9783616421107088e+307 -> 1.5707963267948966 709.19187157911233 162acos0208 acos 1.3937541925739389e+308 0.0 -> 0.0 -710.22135678707264 163acos0209 acos 9.1362388967371536e+307 -0.0 -> 0.0 709.79901953124613 164acos0210 acos -1.3457361220697436e+308 0.0 -> 3.1415926535897931 -710.18629698871848 165acos0211 acos -5.4699090056144284e+307 -0.0 -> 3.1415926535897931 709.28603271085649 166acos0212 acos 1.5880716932358901e+308 5.5638401252339929 -> 3.503519487773873e-308 -710.35187633140583 167acos0213 acos 1.2497211663463164e+308 -3.0456477717911024 -> 2.4370618453197486e-308 710.11227628223412 168acos0214 acos -9.9016224006029528e+307 4.9570427340789056 -> 3.1415926535897931 -709.87946935229468 169acos0215 acos -1.5854071066874139e+308 -4.4233577741497783 -> 3.1415926535897931 710.35019704672004 170acos0216 acos 9.3674623083647628 1.5209559051877979e+308 -> 1.5707963267948966 -710.30869484491086 171acos0217 acos 8.1773832021784383 -6.6093445795000056e+307 -> 1.5707963267948966 709.4752552227792 172acos0218 acos -3.1845935000665104 1.5768856396650893e+308 -> 1.5707963267948966 -710.34480761042687 173acos0219 acos -1.0577303880953903 -6.4574626815735613e+307 -> 1.5707963267948966 709.45200719662046 174 175-- values near 0 176acos0220 acos 1.8566986970714045e-320 3.1867234156760402e-321 -> 1.5707963267948966 -3.1867234156760402e-321 177acos0221 acos 7.9050503334599447e-323 -8.8931816251424378e-323 -> 1.5707963267948966 8.8931816251424378e-323 178acos0222 acos -4.4465908125712189e-323 2.4654065097222727e-311 -> 1.5707963267948966 -2.4654065097222727e-311 179acos0223 acos -6.1016916408192619e-311 -2.4703282292062327e-323 -> 1.5707963267948966 2.4703282292062327e-323 180acos0224 acos 0.0 3.4305783621842729e-311 -> 1.5707963267948966 -3.4305783621842729e-311 181acos0225 acos -0.0 1.6117409498633145e-319 -> 1.5707963267948966 -1.6117409498633145e-319 182acos0226 acos 0.0 -4.9900630229965901e-322 -> 1.5707963267948966 4.9900630229965901e-322 183acos0227 acos -0.0 -4.4889279210592818e-311 -> 1.5707963267948966 4.4889279210592818e-311 184acos0228 acos 5.3297678681477214e-312 0.0 -> 1.5707963267948966 -0.0 185acos0229 acos 6.2073425897211614e-313 -0.0 -> 1.5707963267948966 0.0 186acos0230 acos -4.9406564584124654e-324 0.0 -> 1.5707963267948966 -0.0 187acos0231 acos -1.7107517052899003e-318 -0.0 -> 1.5707963267948966 0.0 188 189-- special values 190acos1000 acos 0.0 0.0 -> 1.5707963267948966 -0.0 191acos1001 acos 0.0 -0.0 -> 1.5707963267948966 0.0 192acos1002 acos -0.0 0.0 -> 1.5707963267948966 -0.0 193acos1003 acos -0.0 -0.0 -> 1.5707963267948966 0.0 194acos1004 acos 0.0 nan -> 1.5707963267948966 nan 195acos1005 acos -0.0 nan -> 1.5707963267948966 nan 196acos1006 acos -2.3 inf -> 1.5707963267948966 -inf 197acos1007 acos -0.0 inf -> 1.5707963267948966 -inf 198acos1008 acos 0.0 inf -> 1.5707963267948966 -inf 199acos1009 acos 2.3 inf -> 1.5707963267948966 -inf 200acos1010 acos -2.3 nan -> nan nan 201acos1011 acos 2.3 nan -> nan nan 202acos1012 acos -inf 2.3 -> 3.1415926535897931 -inf 203acos1013 acos -inf 0.0 -> 3.1415926535897931 -inf 204acos1014 acos inf 2.3 -> 0.0 -inf 205acos1015 acos inf 0.0 -> 0.0 -inf 206acos1016 acos -inf inf -> 2.3561944901923448 -inf 207acos1017 acos inf inf -> 0.78539816339744828 -inf 208acos1018 acos inf nan -> nan inf ignore-imag-sign 209acos1019 acos -inf nan -> nan inf ignore-imag-sign 210acos1020 acos nan 0.0 -> nan nan 211acos1021 acos nan 2.3 -> nan nan 212acos1022 acos nan inf -> nan -inf 213acos1023 acos nan nan -> nan nan 214acos1024 acos -2.3 -inf -> 1.5707963267948966 inf 215acos1025 acos -0.0 -inf -> 1.5707963267948966 inf 216acos1026 acos 0.0 -inf -> 1.5707963267948966 inf 217acos1027 acos 2.3 -inf -> 1.5707963267948966 inf 218acos1028 acos -inf -2.3 -> 3.1415926535897931 inf 219acos1029 acos -inf -0.0 -> 3.1415926535897931 inf 220acos1030 acos inf -2.3 -> 0.0 inf 221acos1031 acos inf -0.0 -> 0.0 inf 222acos1032 acos -inf -inf -> 2.3561944901923448 inf 223acos1033 acos inf -inf -> 0.78539816339744828 inf 224acos1034 acos nan -0.0 -> nan nan 225acos1035 acos nan -2.3 -> nan nan 226acos1036 acos nan -inf -> nan inf 227 228 229-------------------------------------- 230-- acosh: Inverse hyperbolic cosine -- 231-------------------------------------- 232 233-- zeros 234acosh0000 acosh 0.0 0.0 -> 0.0 1.5707963267948966 235acosh0001 acosh 0.0 -0.0 -> 0.0 -1.5707963267948966 236acosh0002 acosh -0.0 0.0 -> 0.0 1.5707963267948966 237acosh0003 acosh -0.0 -0.0 -> 0.0 -1.5707963267948966 238 239-- branch points: +/-1 240acosh0010 acosh 1.0 0.0 -> 0.0 0.0 241acosh0011 acosh 1.0 -0.0 -> 0.0 -0.0 242acosh0012 acosh -1.0 0.0 -> 0.0 3.1415926535897931 243acosh0013 acosh -1.0 -0.0 -> 0.0 -3.1415926535897931 244 245-- values along both sides of real axis 246acosh0020 acosh -9.8813129168249309e-324 0.0 -> 0.0 1.5707963267948966 247acosh0021 acosh -9.8813129168249309e-324 -0.0 -> 0.0 -1.5707963267948966 248acosh0022 acosh -1e-305 0.0 -> 0.0 1.5707963267948966 249acosh0023 acosh -1e-305 -0.0 -> 0.0 -1.5707963267948966 250acosh0024 acosh -1e-150 0.0 -> 0.0 1.5707963267948966 251acosh0025 acosh -1e-150 -0.0 -> 0.0 -1.5707963267948966 252acosh0026 acosh -9.9999999999999998e-17 0.0 -> 0.0 1.5707963267948968 253acosh0027 acosh -9.9999999999999998e-17 -0.0 -> 0.0 -1.5707963267948968 254acosh0028 acosh -0.001 0.0 -> 0.0 1.5717963269615634 255acosh0029 acosh -0.001 -0.0 -> 0.0 -1.5717963269615634 256acosh0030 acosh -0.57899999999999996 0.0 -> 0.0 2.1882979816120667 257acosh0031 acosh -0.57899999999999996 -0.0 -> 0.0 -2.1882979816120667 258acosh0032 acosh -0.99999999999999989 0.0 -> 0.0 3.1415926386886319 259acosh0033 acosh -0.99999999999999989 -0.0 -> 0.0 -3.1415926386886319 260acosh0034 acosh -1.0000000000000002 0.0 -> 2.1073424255447014e-08 3.1415926535897931 261acosh0035 acosh -1.0000000000000002 -0.0 -> 2.1073424255447014e-08 -3.1415926535897931 262acosh0036 acosh -1.0009999999999999 0.0 -> 0.044717633608306849 3.1415926535897931 263acosh0037 acosh -1.0009999999999999 -0.0 -> 0.044717633608306849 -3.1415926535897931 264acosh0038 acosh -2.0 0.0 -> 1.3169578969248168 3.1415926535897931 265acosh0039 acosh -2.0 -0.0 -> 1.3169578969248168 -3.1415926535897931 266acosh0040 acosh -23.0 0.0 -> 3.8281684713331012 3.1415926535897931 267acosh0041 acosh -23.0 -0.0 -> 3.8281684713331012 -3.1415926535897931 268acosh0042 acosh -10000000000000000.0 0.0 -> 37.534508668464674 3.1415926535897931 269acosh0043 acosh -10000000000000000.0 -0.0 -> 37.534508668464674 -3.1415926535897931 270acosh0044 acosh -9.9999999999999998e+149 0.0 -> 346.08091112966679 3.1415926535897931 271acosh0045 acosh -9.9999999999999998e+149 -0.0 -> 346.08091112966679 -3.1415926535897931 272acosh0046 acosh -1.0000000000000001e+299 0.0 -> 689.16608998577965 3.1415926535897931 273acosh0047 acosh -1.0000000000000001e+299 -0.0 -> 689.16608998577965 -3.1415926535897931 274acosh0048 acosh 9.8813129168249309e-324 0.0 -> 0.0 1.5707963267948966 275acosh0049 acosh 9.8813129168249309e-324 -0.0 -> 0.0 -1.5707963267948966 276acosh0050 acosh 1e-305 0.0 -> 0.0 1.5707963267948966 277acosh0051 acosh 1e-305 -0.0 -> 0.0 -1.5707963267948966 278acosh0052 acosh 1e-150 0.0 -> 0.0 1.5707963267948966 279acosh0053 acosh 1e-150 -0.0 -> 0.0 -1.5707963267948966 280acosh0054 acosh 9.9999999999999998e-17 0.0 -> 0.0 1.5707963267948966 281acosh0055 acosh 9.9999999999999998e-17 -0.0 -> 0.0 -1.5707963267948966 282acosh0056 acosh 0.001 0.0 -> 0.0 1.56979632662823 283acosh0057 acosh 0.001 -0.0 -> 0.0 -1.56979632662823 284acosh0058 acosh 0.57899999999999996 0.0 -> 0.0 0.95329467197772655 285acosh0059 acosh 0.57899999999999996 -0.0 -> 0.0 -0.95329467197772655 286acosh0060 acosh 0.99999999999999989 0.0 -> 0.0 1.4901161193847656e-08 287acosh0061 acosh 0.99999999999999989 -0.0 -> 0.0 -1.4901161193847656e-08 288acosh0062 acosh 1.0000000000000002 0.0 -> 2.1073424255447014e-08 0.0 289acosh0063 acosh 1.0000000000000002 -0.0 -> 2.1073424255447014e-08 -0.0 290acosh0064 acosh 1.0009999999999999 0.0 -> 0.044717633608306849 0.0 291acosh0065 acosh 1.0009999999999999 -0.0 -> 0.044717633608306849 -0.0 292acosh0066 acosh 2.0 0.0 -> 1.3169578969248168 0.0 293acosh0067 acosh 2.0 -0.0 -> 1.3169578969248168 -0.0 294acosh0068 acosh 23.0 0.0 -> 3.8281684713331012 0.0 295acosh0069 acosh 23.0 -0.0 -> 3.8281684713331012 -0.0 296acosh0070 acosh 10000000000000000.0 0.0 -> 37.534508668464674 0.0 297acosh0071 acosh 10000000000000000.0 -0.0 -> 37.534508668464674 -0.0 298acosh0072 acosh 9.9999999999999998e+149 0.0 -> 346.08091112966679 0.0 299acosh0073 acosh 9.9999999999999998e+149 -0.0 -> 346.08091112966679 -0.0 300acosh0074 acosh 1.0000000000000001e+299 0.0 -> 689.16608998577965 0.0 301acosh0075 acosh 1.0000000000000001e+299 -0.0 -> 689.16608998577965 -0.0 302 303-- random inputs 304acosh0100 acosh -1.4328589581250843 -1.8370347775558309 -> 1.5526962646549587 -2.190250168435786 305acosh0101 acosh -0.31075819156220957 -1.0772555786839297 -> 0.95139168286193709 -1.7812228089636479 306acosh0102 acosh -1.9044776578070453 -20.485370158932124 -> 3.7177411088932359 -1.6633888745861227 307acosh0103 acosh -0.075642506000858742 -21965976320.873051 -> 24.505907742881991 -1.5707963267983402 308acosh0104 acosh -1.6162271181056307 -3.0369343458696099 -> 1.9407057262861227 -2.0429549461750209 309acosh0105 acosh -0.3103780280298063 0.00018054880018078987 -> 0.00018992877058761416 1.886386995096728 310acosh0106 acosh -9159468751.5897655 5.8014747664273649 -> 23.631201197959193 3.1415926529564078 311acosh0107 acosh -0.037739157550933884 0.21841357493510705 -> 0.21685844960602488 1.6076735133449402 312acosh0108 acosh -8225991.0508394297 0.28318543008913644 -> 16.615956520420287 3.1415926191641019 313acosh0109 acosh -35.620070502302639 0.31303237005015 -> 4.2658980006943965 3.1328013255541873 314acosh0110 acosh 96.729939906820917 -0.029345228372365334 -> 5.2650434775863548 -0.00030338895866972843 315acosh0111 acosh 0.59656024007966491 -2.0412294654163978 -> 1.4923002024287835 -1.312568421900338 316acosh0112 acosh 109.29384112677828 -0.00015454863061533812 -> 5.3871662961545477 -1.4141245154061214e-06 317acosh0113 acosh 8.6705651969361597 -3.6723631649787465 -> 2.9336180958363545 -0.40267362031872861 318acosh0114 acosh 1.8101646445052686 -0.012345132721855478 -> 1.1997148566285769 -0.0081813912760150265 319acosh0115 acosh 52.56897195025288 0.001113916065985443 -> 4.6551827622264135 2.1193445872040307e-05 320acosh0116 acosh 0.28336786164214739 355643992457.40485 -> 27.290343226816528 1.5707963267940999 321acosh0117 acosh 0.73876621291911437 2.8828594541104322e-20 -> 4.2774820978159067e-20 0.73955845836827927 322acosh0118 acosh 0.025865471781718878 37125746064318.492 -> 31.938478989418012 1.5707963267948959 323acosh0119 acosh 2.2047353511780132 0.074712248143489271 -> 1.4286403248698021 0.037997904971626598 324 325-- values near infinity 326acosh0200 acosh 8.1548592876467785e+307 9.0943779335951128e+307 -> 710.08944620800605 0.83981165425478954 327acosh0201 acosh 1.4237229680972531e+308 -1.0336966617874858e+308 -> 710.4543331094759 -0.6279972876348755 328acosh0202 acosh -1.5014526899738939e+308 1.5670700378448792e+308 -> 710.66420706795464 2.3348137299106697 329acosh0203 acosh -1.0939040375213928e+308 -1.0416960351127978e+308 -> 710.30182863115886 -2.380636147787027 330acosh0204 acosh 0.0 1.476062433559588e+308 -> 710.27873384716929 1.5707963267948966 331acosh0205 acosh -0.0 6.2077210326221094e+307 -> 709.41256457484769 1.5707963267948966 332acosh0206 acosh 0.0 -1.5621899909968308e+308 -> 710.33544449990734 -1.5707963267948966 333acosh0207 acosh -0.0 -8.3556624833839122e+307 -> 709.70971018048317 -1.5707963267948966 334acosh0208 acosh 1.3067079752499342e+308 0.0 -> 710.15686680107228 0.0 335acosh0209 acosh 1.5653640340214026e+308 -0.0 -> 710.33747422926706 -0.0 336acosh0210 acosh -6.9011375992290636e+307 0.0 -> 709.51845699719922 3.1415926535897931 337acosh0211 acosh -9.9539576809926973e+307 -0.0 -> 709.88474095870185 -3.1415926535897931 338acosh0212 acosh 7.6449598518914925e+307 9.5706540768268358 -> 709.62081731754802 1.2518906916769345e-307 339acosh0213 acosh 5.4325410972602197e+307 -7.8064807816522706 -> 709.279177727925 -1.4369851312471974e-307 340acosh0214 acosh -1.1523626112360465e+308 7.0617510038869336 -> 710.03117010216909 3.1415926535897931 341acosh0215 acosh -1.1685027786862599e+308 -5.1568558357925625 -> 710.04507907571417 -3.1415926535897931 342acosh0216 acosh 3.0236370339788721 1.7503248720096417e+308 -> 710.44915723458064 1.5707963267948966 343acosh0217 acosh 6.6108007926031149 -9.1469968225806149e+307 -> 709.80019633903328 -1.5707963267948966 344acosh0218 acosh -5.1096262905623959 6.4484926785412395e+307 -> 709.45061713997973 1.5707963267948966 345acosh0219 acosh -2.8080920608735846 -1.7716118836519368e+308 -> 710.46124562363445 -1.5707963267948966 346 347-- values near 0 348acosh0220 acosh 4.5560530326699304e-317 7.3048989121436657e-318 -> 7.3048989121436657e-318 1.5707963267948966 349acosh0221 acosh 4.8754274133585331e-314 -9.8469794897684199e-315 -> 9.8469794897684199e-315 -1.5707963267948966 350acosh0222 acosh -4.6748876009960097e-312 9.7900342887557606e-318 -> 9.7900342887557606e-318 1.5707963267948966 351acosh0223 acosh -4.3136871538399236e-320 -4.9406564584124654e-323 -> 4.9406564584124654e-323 -1.5707963267948966 352acosh0224 acosh 0.0 4.3431013866496774e-314 -> 4.3431013866496774e-314 1.5707963267948966 353acosh0225 acosh -0.0 6.0147334335829184e-317 -> 6.0147334335829184e-317 1.5707963267948966 354acosh0226 acosh 0.0 -1.2880291387081297e-320 -> 1.2880291387081297e-320 -1.5707963267948966 355acosh0227 acosh -0.0 -1.4401563976534621e-317 -> 1.4401563976534621e-317 -1.5707963267948966 356acosh0228 acosh 1.3689680570863091e-313 0.0 -> 0.0 1.5707963267948966 357acosh0229 acosh 1.5304346893494371e-312 -0.0 -> 0.0 -1.5707963267948966 358acosh0230 acosh -3.7450175954766488e-320 0.0 -> 0.0 1.5707963267948966 359acosh0231 acosh -8.4250563080885801e-311 -0.0 -> 0.0 -1.5707963267948966 360 361-- special values 362acosh1000 acosh 0.0 0.0 -> 0.0 1.5707963267948966 363acosh1001 acosh -0.0 0.0 -> 0.0 1.5707963267948966 364acosh1002 acosh 0.0 inf -> inf 1.5707963267948966 365acosh1003 acosh 2.3 inf -> inf 1.5707963267948966 366acosh1004 acosh -0.0 inf -> inf 1.5707963267948966 367acosh1005 acosh -2.3 inf -> inf 1.5707963267948966 368acosh1006 acosh 0.0 nan -> nan nan 369acosh1007 acosh 2.3 nan -> nan nan 370acosh1008 acosh -0.0 nan -> nan nan 371acosh1009 acosh -2.3 nan -> nan nan 372acosh1010 acosh -inf 0.0 -> inf 3.1415926535897931 373acosh1011 acosh -inf 2.3 -> inf 3.1415926535897931 374acosh1012 acosh inf 0.0 -> inf 0.0 375acosh1013 acosh inf 2.3 -> inf 0.0 376acosh1014 acosh -inf inf -> inf 2.3561944901923448 377acosh1015 acosh inf inf -> inf 0.78539816339744828 378acosh1016 acosh inf nan -> inf nan 379acosh1017 acosh -inf nan -> inf nan 380acosh1018 acosh nan 0.0 -> nan nan 381acosh1019 acosh nan 2.3 -> nan nan 382acosh1020 acosh nan inf -> inf nan 383acosh1021 acosh nan nan -> nan nan 384acosh1022 acosh 0.0 -0.0 -> 0.0 -1.5707963267948966 385acosh1023 acosh -0.0 -0.0 -> 0.0 -1.5707963267948966 386acosh1024 acosh 0.0 -inf -> inf -1.5707963267948966 387acosh1025 acosh 2.3 -inf -> inf -1.5707963267948966 388acosh1026 acosh -0.0 -inf -> inf -1.5707963267948966 389acosh1027 acosh -2.3 -inf -> inf -1.5707963267948966 390acosh1028 acosh -inf -0.0 -> inf -3.1415926535897931 391acosh1029 acosh -inf -2.3 -> inf -3.1415926535897931 392acosh1030 acosh inf -0.0 -> inf -0.0 393acosh1031 acosh inf -2.3 -> inf -0.0 394acosh1032 acosh -inf -inf -> inf -2.3561944901923448 395acosh1033 acosh inf -inf -> inf -0.78539816339744828 396acosh1034 acosh nan -0.0 -> nan nan 397acosh1035 acosh nan -2.3 -> nan nan 398acosh1036 acosh nan -inf -> inf nan 399 400 401------------------------ 402-- asin: Inverse sine -- 403------------------------ 404 405-- zeros 406asin0000 asin 0.0 0.0 -> 0.0 0.0 407asin0001 asin 0.0 -0.0 -> 0.0 -0.0 408asin0002 asin -0.0 0.0 -> -0.0 0.0 409asin0003 asin -0.0 -0.0 -> -0.0 -0.0 410 411-- branch points: +/-1 412asin0010 asin 1.0 0.0 -> 1.5707963267948966 0.0 413asin0011 asin 1.0 -0.0 -> 1.5707963267948966 -0.0 414asin0012 asin -1.0 0.0 -> -1.5707963267948966 0.0 415asin0013 asin -1.0 -0.0 -> -1.5707963267948966 -0.0 416 417-- values along both sides of real axis 418asin0020 asin -9.8813129168249309e-324 0.0 -> -9.8813129168249309e-324 0.0 419asin0021 asin -9.8813129168249309e-324 -0.0 -> -9.8813129168249309e-324 -0.0 420asin0022 asin -1e-305 0.0 -> -1e-305 0.0 421asin0023 asin -1e-305 -0.0 -> -1e-305 -0.0 422asin0024 asin -1e-150 0.0 -> -1e-150 0.0 423asin0025 asin -1e-150 -0.0 -> -1e-150 -0.0 424asin0026 asin -9.9999999999999998e-17 0.0 -> -9.9999999999999998e-17 0.0 425asin0027 asin -9.9999999999999998e-17 -0.0 -> -9.9999999999999998e-17 -0.0 426asin0028 asin -0.001 0.0 -> -0.0010000001666667416 0.0 427asin0029 asin -0.001 -0.0 -> -0.0010000001666667416 -0.0 428asin0030 asin -0.57899999999999996 0.0 -> -0.61750165481717001 0.0 429asin0031 asin -0.57899999999999996 -0.0 -> -0.61750165481717001 -0.0 430asin0032 asin -0.99999999999999989 0.0 -> -1.5707963118937354 0.0 431asin0033 asin -0.99999999999999989 -0.0 -> -1.5707963118937354 -0.0 432asin0034 asin -1.0000000000000002 0.0 -> -1.5707963267948966 2.1073424255447014e-08 433asin0035 asin -1.0000000000000002 -0.0 -> -1.5707963267948966 -2.1073424255447014e-08 434asin0036 asin -1.0009999999999999 0.0 -> -1.5707963267948966 0.044717633608306849 435asin0037 asin -1.0009999999999999 -0.0 -> -1.5707963267948966 -0.044717633608306849 436asin0038 asin -2.0 0.0 -> -1.5707963267948966 1.3169578969248168 437asin0039 asin -2.0 -0.0 -> -1.5707963267948966 -1.3169578969248168 438asin0040 asin -23.0 0.0 -> -1.5707963267948966 3.8281684713331012 439asin0041 asin -23.0 -0.0 -> -1.5707963267948966 -3.8281684713331012 440asin0042 asin -10000000000000000.0 0.0 -> -1.5707963267948966 37.534508668464674 441asin0043 asin -10000000000000000.0 -0.0 -> -1.5707963267948966 -37.534508668464674 442asin0044 asin -9.9999999999999998e+149 0.0 -> -1.5707963267948966 346.08091112966679 443asin0045 asin -9.9999999999999998e+149 -0.0 -> -1.5707963267948966 -346.08091112966679 444asin0046 asin -1.0000000000000001e+299 0.0 -> -1.5707963267948966 689.16608998577965 445asin0047 asin -1.0000000000000001e+299 -0.0 -> -1.5707963267948966 -689.16608998577965 446asin0048 asin 9.8813129168249309e-324 0.0 -> 9.8813129168249309e-324 0.0 447asin0049 asin 9.8813129168249309e-324 -0.0 -> 9.8813129168249309e-324 -0.0 448asin0050 asin 1e-305 0.0 -> 1e-305 0.0 449asin0051 asin 1e-305 -0.0 -> 1e-305 -0.0 450asin0052 asin 1e-150 0.0 -> 1e-150 0.0 451asin0053 asin 1e-150 -0.0 -> 1e-150 -0.0 452asin0054 asin 9.9999999999999998e-17 0.0 -> 9.9999999999999998e-17 0.0 453asin0055 asin 9.9999999999999998e-17 -0.0 -> 9.9999999999999998e-17 -0.0 454asin0056 asin 0.001 0.0 -> 0.0010000001666667416 0.0 455asin0057 asin 0.001 -0.0 -> 0.0010000001666667416 -0.0 456asin0058 asin 0.57899999999999996 0.0 -> 0.61750165481717001 0.0 457asin0059 asin 0.57899999999999996 -0.0 -> 0.61750165481717001 -0.0 458asin0060 asin 0.99999999999999989 0.0 -> 1.5707963118937354 0.0 459asin0061 asin 0.99999999999999989 -0.0 -> 1.5707963118937354 -0.0 460asin0062 asin 1.0000000000000002 0.0 -> 1.5707963267948966 2.1073424255447014e-08 461asin0063 asin 1.0000000000000002 -0.0 -> 1.5707963267948966 -2.1073424255447014e-08 462asin0064 asin 1.0009999999999999 0.0 -> 1.5707963267948966 0.044717633608306849 463asin0065 asin 1.0009999999999999 -0.0 -> 1.5707963267948966 -0.044717633608306849 464asin0066 asin 2.0 0.0 -> 1.5707963267948966 1.3169578969248168 465asin0067 asin 2.0 -0.0 -> 1.5707963267948966 -1.3169578969248168 466asin0068 asin 23.0 0.0 -> 1.5707963267948966 3.8281684713331012 467asin0069 asin 23.0 -0.0 -> 1.5707963267948966 -3.8281684713331012 468asin0070 asin 10000000000000000.0 0.0 -> 1.5707963267948966 37.534508668464674 469asin0071 asin 10000000000000000.0 -0.0 -> 1.5707963267948966 -37.534508668464674 470asin0072 asin 9.9999999999999998e+149 0.0 -> 1.5707963267948966 346.08091112966679 471asin0073 asin 9.9999999999999998e+149 -0.0 -> 1.5707963267948966 -346.08091112966679 472asin0074 asin 1.0000000000000001e+299 0.0 -> 1.5707963267948966 689.16608998577965 473asin0075 asin 1.0000000000000001e+299 -0.0 -> 1.5707963267948966 -689.16608998577965 474 475-- random inputs 476asin0100 asin -1.5979555835086083 -0.15003009814595247 -> -1.4515369557405788 -1.0544476399790823 477asin0101 asin -0.57488225895317679 -9.6080397838952743e-13 -> -0.61246024460412851 -1.174238005400403e-12 478asin0102 asin -3.6508087930516249 -0.36027527093220152 -> -1.4685890605305874 -1.9742273007152038 479asin0103 asin -1.5238659792326819 -1.1360813516996364 -> -0.86080051691147275 -1.3223742205689195 480asin0104 asin -1592.0639045555306 -0.72362427935018236 -> -1.5703418071175179 -8.0659336918729228 481asin0105 asin -0.19835471371312019 4.2131508416697709 -> -0.045777831019935149 2.1461732751933171 482asin0106 asin -1.918471054430213 0.40603305079779234 -> -1.3301396585791556 1.30263642314981 483asin0107 asin -254495.01623373642 0.71084414434470822 -> -1.5707935336394359 13.140183712762321 484asin0108 asin -0.31315882715691157 3.9647994288429866 -> -0.076450403840916004 2.0889762138713457 485asin0109 asin -0.90017064284720816 1.2530659485907105 -> -0.53466509741943447 1.1702811557577 486asin0110 asin 2.1615181696571075 -0.14058647488229523 -> 1.4976166323896871 -1.4085811039334604 487asin0111 asin 1.2104749210707795 -0.85732484485298999 -> 0.83913071588343924 -1.0681719250525901 488asin0112 asin 1.7059733185128891 -0.84032966373156581 -> 1.0510900815816229 -1.2967979791361652 489asin0113 asin 9.9137085017290687 -1.4608383970250893 -> 1.4237704820128891 -2.995414677560686 490asin0114 asin 117.12344751041495 -5453908091.5334015 -> 2.1475141411392012e-08 -23.112745450217066 491asin0115 asin 0.081041187798029227 0.067054349860173196 -> 0.080946786856771813 0.067223991060639698 492asin0116 asin 46.635472322049949 2.3835190718056678 -> 1.5197194940010779 4.5366989600972083 493asin0117 asin 3907.0687961127105 19.144021886390181 -> 1.5658965233083235 8.9637018715924217 494asin0118 asin 1.0889312322308273 509.01577883554768 -> 0.0021392803817829316 6.9256294494524706 495asin0119 asin 0.10851518277509224 1.5612510908217476 -> 0.058491014243902621 1.2297075725621327 496 497-- values near infinity 498asin0200 asin 1.5230241998821499e+308 5.5707228994084525e+307 -> 1.2201446370892068 710.37283486535966 499asin0201 asin 8.1334317698672204e+307 -9.2249425197872451e+307 -> 0.72259991284020042 -710.0962453049026 500asin0202 asin -9.9138506659241768e+307 6.701544526434995e+307 -> -0.97637511742194594 710.06887486671371 501asin0203 asin -1.4141298868173842e+308 -5.401505134514191e+307 -> -1.2059319055160587 -710.30396478954628 502asin0204 asin 0.0 9.1618092977897431e+307 -> 0.0 709.80181441050593 503asin0205 asin -0.0 6.8064342551939755e+307 -> -0.0 709.50463910853489 504asin0206 asin 0.0 -6.4997516454798215e+307 -> 0.0 -709.45853469751592 505asin0207 asin -0.0 -1.6767449053345242e+308 -> -0.0 -710.4062101803022 506asin0208 asin 5.4242749957378916e+307 0.0 -> 1.5707963267948966 709.27765497888902 507asin0209 asin 9.5342145121164749e+307 -0.0 -> 1.5707963267948966 -709.84165758595907 508asin0210 asin -7.0445698006201847e+307 0.0 -> -1.5707963267948966 709.53902780872136 509asin0211 asin -1.0016025569769706e+308 -0.0 -> -1.5707963267948966 -709.89095709697881 510asin0212 asin 1.6552203778877204e+308 0.48761543336249491 -> 1.5707963267948966 710.39328998153474 511asin0213 asin 1.2485712830384869e+308 -4.3489311161278899 -> 1.5707963267948966 -710.1113557467786 512asin0214 asin -1.5117842813353125e+308 5.123452666102434 -> -1.5707963267948966 710.30264641923031 513asin0215 asin -1.3167634313008016e+308 -0.52939679793528982 -> -1.5707963267948966 -710.16453260239768 514asin0216 asin 0.80843929176985907 1.0150851827767876e+308 -> 7.9642507396113875e-309 709.90432835561637 515asin0217 asin 8.2544809829680901 -1.7423548140539474e+308 -> 4.7375430746865733e-308 -710.44459336242164 516asin0218 asin -5.2499000118824295 4.6655578977512214e+307 -> -1.1252459249113292e-307 709.1269781491103 517asin0219 asin -5.9904782760833433 -4.7315689314781163e+307 -> -1.2660659419394637e-307 -709.14102757522312 518 519-- special values 520asin1000 asin -0.0 0.0 -> -0.0 0.0 521asin1001 asin 0.0 0.0 -> 0.0 0.0 522asin1002 asin -0.0 -0.0 -> -0.0 -0.0 523asin1003 asin 0.0 -0.0 -> 0.0 -0.0 524asin1004 asin -inf 0.0 -> -1.5707963267948966 inf 525asin1005 asin -inf 2.2999999999999998 -> -1.5707963267948966 inf 526asin1006 asin nan 0.0 -> nan nan 527asin1007 asin nan 2.2999999999999998 -> nan nan 528asin1008 asin -0.0 inf -> -0.0 inf 529asin1009 asin -2.2999999999999998 inf -> -0.0 inf 530asin1010 asin -inf inf -> -0.78539816339744828 inf 531asin1011 asin nan inf -> nan inf 532asin1012 asin -0.0 nan -> -0.0 nan 533asin1013 asin -2.2999999999999998 nan -> nan nan 534asin1014 asin -inf nan -> nan inf ignore-imag-sign 535asin1015 asin nan nan -> nan nan 536asin1016 asin inf 0.0 -> 1.5707963267948966 inf 537asin1017 asin inf 2.2999999999999998 -> 1.5707963267948966 inf 538asin1018 asin 0.0 inf -> 0.0 inf 539asin1019 asin 2.2999999999999998 inf -> 0.0 inf 540asin1020 asin inf inf -> 0.78539816339744828 inf 541asin1021 asin 0.0 nan -> 0.0 nan 542asin1022 asin 2.2999999999999998 nan -> nan nan 543asin1023 asin inf nan -> nan inf ignore-imag-sign 544asin1024 asin inf -0.0 -> 1.5707963267948966 -inf 545asin1025 asin inf -2.2999999999999998 -> 1.5707963267948966 -inf 546asin1026 asin nan -0.0 -> nan nan 547asin1027 asin nan -2.2999999999999998 -> nan nan 548asin1028 asin 0.0 -inf -> 0.0 -inf 549asin1029 asin 2.2999999999999998 -inf -> 0.0 -inf 550asin1030 asin inf -inf -> 0.78539816339744828 -inf 551asin1031 asin nan -inf -> nan -inf 552asin1032 asin -inf -0.0 -> -1.5707963267948966 -inf 553asin1033 asin -inf -2.2999999999999998 -> -1.5707963267948966 -inf 554asin1034 asin -0.0 -inf -> -0.0 -inf 555asin1035 asin -2.2999999999999998 -inf -> -0.0 -inf 556asin1036 asin -inf -inf -> -0.78539816339744828 -inf 557 558 559------------------------------------ 560-- asinh: Inverse hyperbolic sine -- 561------------------------------------ 562 563-- zeros 564asinh0000 asinh 0.0 0.0 -> 0.0 0.0 565asinh0001 asinh 0.0 -0.0 -> 0.0 -0.0 566asinh0002 asinh -0.0 0.0 -> -0.0 0.0 567asinh0003 asinh -0.0 -0.0 -> -0.0 -0.0 568 569-- branch points: +/-i 570asinh0010 asinh 0.0 1.0 -> 0.0 1.5707963267948966 571asinh0011 asinh 0.0 -1.0 -> 0.0 -1.5707963267948966 572asinh0012 asinh -0.0 1.0 -> -0.0 1.5707963267948966 573asinh0013 asinh -0.0 -1.0 -> -0.0 -1.5707963267948966 574 575-- values along both sides of imaginary axis 576asinh0020 asinh 0.0 -9.8813129168249309e-324 -> 0.0 -9.8813129168249309e-324 577asinh0021 asinh -0.0 -9.8813129168249309e-324 -> -0.0 -9.8813129168249309e-324 578asinh0022 asinh 0.0 -1e-305 -> 0.0 -1e-305 579asinh0023 asinh -0.0 -1e-305 -> -0.0 -1e-305 580asinh0024 asinh 0.0 -1e-150 -> 0.0 -1e-150 581asinh0025 asinh -0.0 -1e-150 -> -0.0 -1e-150 582asinh0026 asinh 0.0 -9.9999999999999998e-17 -> 0.0 -9.9999999999999998e-17 583asinh0027 asinh -0.0 -9.9999999999999998e-17 -> -0.0 -9.9999999999999998e-17 584asinh0028 asinh 0.0 -0.001 -> 0.0 -0.0010000001666667416 585asinh0029 asinh -0.0 -0.001 -> -0.0 -0.0010000001666667416 586asinh0030 asinh 0.0 -0.57899999999999996 -> 0.0 -0.61750165481717001 587asinh0031 asinh -0.0 -0.57899999999999996 -> -0.0 -0.61750165481717001 588asinh0032 asinh 0.0 -0.99999999999999989 -> 0.0 -1.5707963118937354 589asinh0033 asinh -0.0 -0.99999999999999989 -> -0.0 -1.5707963118937354 590asinh0034 asinh 0.0 -1.0000000000000002 -> 2.1073424255447014e-08 -1.5707963267948966 591asinh0035 asinh -0.0 -1.0000000000000002 -> -2.1073424255447014e-08 -1.5707963267948966 592asinh0036 asinh 0.0 -1.0009999999999999 -> 0.044717633608306849 -1.5707963267948966 593asinh0037 asinh -0.0 -1.0009999999999999 -> -0.044717633608306849 -1.5707963267948966 594asinh0038 asinh 0.0 -2.0 -> 1.3169578969248168 -1.5707963267948966 595asinh0039 asinh -0.0 -2.0 -> -1.3169578969248168 -1.5707963267948966 596asinh0040 asinh 0.0 -20.0 -> 3.6882538673612966 -1.5707963267948966 597asinh0041 asinh -0.0 -20.0 -> -3.6882538673612966 -1.5707963267948966 598asinh0042 asinh 0.0 -10000000000000000.0 -> 37.534508668464674 -1.5707963267948966 599asinh0043 asinh -0.0 -10000000000000000.0 -> -37.534508668464674 -1.5707963267948966 600asinh0044 asinh 0.0 -9.9999999999999998e+149 -> 346.08091112966679 -1.5707963267948966 601asinh0045 asinh -0.0 -9.9999999999999998e+149 -> -346.08091112966679 -1.5707963267948966 602asinh0046 asinh 0.0 -1.0000000000000001e+299 -> 689.16608998577965 -1.5707963267948966 603asinh0047 asinh -0.0 -1.0000000000000001e+299 -> -689.16608998577965 -1.5707963267948966 604asinh0048 asinh 0.0 9.8813129168249309e-324 -> 0.0 9.8813129168249309e-324 605asinh0049 asinh -0.0 9.8813129168249309e-324 -> -0.0 9.8813129168249309e-324 606asinh0050 asinh 0.0 1e-305 -> 0.0 1e-305 607asinh0051 asinh -0.0 1e-305 -> -0.0 1e-305 608asinh0052 asinh 0.0 1e-150 -> 0.0 1e-150 609asinh0053 asinh -0.0 1e-150 -> -0.0 1e-150 610asinh0054 asinh 0.0 9.9999999999999998e-17 -> 0.0 9.9999999999999998e-17 611asinh0055 asinh -0.0 9.9999999999999998e-17 -> -0.0 9.9999999999999998e-17 612asinh0056 asinh 0.0 0.001 -> 0.0 0.0010000001666667416 613asinh0057 asinh -0.0 0.001 -> -0.0 0.0010000001666667416 614asinh0058 asinh 0.0 0.57899999999999996 -> 0.0 0.61750165481717001 615asinh0059 asinh -0.0 0.57899999999999996 -> -0.0 0.61750165481717001 616asinh0060 asinh 0.0 0.99999999999999989 -> 0.0 1.5707963118937354 617asinh0061 asinh -0.0 0.99999999999999989 -> -0.0 1.5707963118937354 618asinh0062 asinh 0.0 1.0000000000000002 -> 2.1073424255447014e-08 1.5707963267948966 619asinh0063 asinh -0.0 1.0000000000000002 -> -2.1073424255447014e-08 1.5707963267948966 620asinh0064 asinh 0.0 1.0009999999999999 -> 0.044717633608306849 1.5707963267948966 621asinh0065 asinh -0.0 1.0009999999999999 -> -0.044717633608306849 1.5707963267948966 622asinh0066 asinh 0.0 2.0 -> 1.3169578969248168 1.5707963267948966 623asinh0067 asinh -0.0 2.0 -> -1.3169578969248168 1.5707963267948966 624asinh0068 asinh 0.0 20.0 -> 3.6882538673612966 1.5707963267948966 625asinh0069 asinh -0.0 20.0 -> -3.6882538673612966 1.5707963267948966 626asinh0070 asinh 0.0 10000000000000000.0 -> 37.534508668464674 1.5707963267948966 627asinh0071 asinh -0.0 10000000000000000.0 -> -37.534508668464674 1.5707963267948966 628asinh0072 asinh 0.0 9.9999999999999998e+149 -> 346.08091112966679 1.5707963267948966 629asinh0073 asinh -0.0 9.9999999999999998e+149 -> -346.08091112966679 1.5707963267948966 630asinh0074 asinh 0.0 1.0000000000000001e+299 -> 689.16608998577965 1.5707963267948966 631asinh0075 asinh -0.0 1.0000000000000001e+299 -> -689.16608998577965 1.5707963267948966 632 633-- random inputs 634asinh0100 asinh -0.5946402853710423 -0.044506548910000145 -> -0.56459775392653022 -0.038256221441536356 635asinh0101 asinh -0.19353958046180916 -0.017489624793193454 -> -0.19237926804196651 -0.017171741895336792 636asinh0102 asinh -0.033117585138955893 -8.5256414015933757 -> -2.8327758348650969 -1.5668848791092411 637asinh0103 asinh -1.5184043184035716 -0.73491245339073275 -> -1.2715891419764005 -0.39204624408542355 638asinh0104 asinh -0.60716120271208818 -0.28900743958436542 -> -0.59119299421187232 -0.24745931678118135 639asinh0105 asinh -0.0237177865112429 2.8832601052166313 -> -1.7205820772413236 1.5620261702963094 640asinh0106 asinh -2.3906812342743979 2.6349216848574013 -> -1.9609636249445124 0.8142142660574706 641asinh0107 asinh -0.0027605019787620517 183.85588476550555 -> -5.9072920005445066 1.5707813120847871 642asinh0108 asinh -0.99083661164404713 0.028006797051617648 -> -0.8750185251283995 0.019894099615994653 643asinh0109 asinh -3.0362951937986393 0.86377266758504867 -> -1.8636030714685221 0.26475058859950168 644asinh0110 asinh 0.34438464536152769 -0.71603790174885029 -> 0.43985415690734164 -0.71015037409294324 645asinh0111 asinh 4.4925124413876256 -60604595352.871613 -> 25.520783738612078 -1.5707963267207683 646asinh0112 asinh 2.3213991428170337 -7.5459667007307258 -> 2.7560464993451643 -1.270073210856117 647asinh0113 asinh 0.21291939741682028 -1.2720428814784408 -> 0.77275088137338266 -1.3182099250896895 648asinh0114 asinh 6.6447359379455957 -0.97196191666946996 -> 2.602830695139672 -0.14368247412319965 649asinh0115 asinh 7.1326256655083746 2.1516360452706857 -> 2.7051146374367212 0.29051701669727581 650asinh0116 asinh 0.18846550905063442 3.4705348585339832 -> 1.917697875799296 1.514155593347924 651asinh0117 asinh 0.19065075303281598 0.26216814548222012 -> 0.19603050785932474 0.26013422809614117 652asinh0118 asinh 2.0242004665739719 0.70510281647495787 -> 1.4970366212896002 0.30526007200481453 653asinh0119 asinh 37.336596461576057 717.29157391678234 -> 7.269981997945294 1.5187910219576033 654 655-- values near infinity 656asinh0200 asinh 1.0760517500874541e+308 1.1497786241240167e+308 -> 710.34346055651815 0.81850936961793475 657asinh0201 asinh 1.1784839328845529e+308 -1.6478429586716638e+308 -> 710.59536255783678 -0.94996311735607697 658asinh0202 asinh -4.8777682248909193e+307 1.4103736217538474e+308 -> -710.28970147376992 1.2378239519096443 659asinh0203 asinh -1.2832478903233108e+308 -1.5732392613155698e+308 -> -710.59750164290745 -0.88657181439322452 660asinh0204 asinh 0.0 6.8431383856345372e+307 -> 709.51001718444604 1.5707963267948966 661asinh0205 asinh -0.0 8.601822432238051e+307 -> -709.73874482126689 1.5707963267948966 662asinh0206 asinh 0.0 -5.5698396067303782e+307 -> 709.30413698733742 -1.5707963267948966 663asinh0207 asinh -0.0 -7.1507777734621804e+307 -> -709.55399186002705 -1.5707963267948966 664asinh0208 asinh 1.6025136110019349e+308 0.0 -> 710.3609292261076 0.0 665asinh0209 asinh 1.3927819858239114e+308 -0.0 -> 710.22065899832899 -0.0 666asinh0210 asinh -6.0442994056210995e+307 0.0 -> -709.38588631057621 0.0 667asinh0211 asinh -1.2775271979042634e+308 -0.0 -> -710.13428215553972 -0.0 668asinh0212 asinh 1.0687496260268489e+308 1.0255615699476961 -> 709.95584521407841 9.5959010882679093e-309 669asinh0213 asinh 1.0050967333370962e+308 -0.87668970117333433 -> 709.89443961168183 -8.7224410556242882e-309 670asinh0214 asinh -5.7161452814862392e+307 8.2377808413450122 -> -709.33006540611166 1.4411426644501116e-307 671asinh0215 asinh -8.2009040727653315e+307 -6.407409526654976 -> -709.69101513070109 -7.8130526461510088e-308 672asinh0216 asinh 6.4239368496483982 1.6365990821551427e+308 -> 710.38197618101287 1.5707963267948966 673asinh0217 asinh 5.4729111423315882 -1.1227237438144211e+308 -> 710.00511346983546 -1.5707963267948966 674asinh0218 asinh -8.3455818297412723 1.443172020182019e+308 -> -710.25619930551818 1.5707963267948966 675asinh0219 asinh -2.6049726230372441 -1.7952291144022702e+308 -> -710.47448847685644 -1.5707963267948966 676 677-- values near 0 678asinh0220 asinh 1.2940113339664088e-314 6.9169190417774516e-323 -> 1.2940113339664088e-314 6.9169190417774516e-323 679asinh0221 asinh 2.3848478863874649e-315 -3.1907655025717717e-310 -> 2.3848478863874649e-315 -3.1907655025717717e-310 680asinh0222 asinh -3.0097643679641622e-316 4.6936236354918422e-322 -> -3.0097643679641622e-316 4.6936236354918422e-322 681asinh0223 asinh -1.787997087755751e-308 -8.5619622834902341e-310 -> -1.787997087755751e-308 -8.5619622834902341e-310 682asinh0224 asinh 0.0 1.2491433448427325e-314 -> 0.0 1.2491433448427325e-314 683asinh0225 asinh -0.0 2.5024072154538062e-308 -> -0.0 2.5024072154538062e-308 684asinh0226 asinh 0.0 -2.9643938750474793e-323 -> 0.0 -2.9643938750474793e-323 685asinh0227 asinh -0.0 -2.9396905927554169e-320 -> -0.0 -2.9396905927554169e-320 686asinh0228 asinh 5.64042930029359e-317 0.0 -> 5.64042930029359e-317 0.0 687asinh0229 asinh 3.3833911866596068e-318 -0.0 -> 3.3833911866596068e-318 -0.0 688asinh0230 asinh -4.9406564584124654e-324 0.0 -> -4.9406564584124654e-324 0.0 689asinh0231 asinh -2.2211379227994845e-308 -0.0 -> -2.2211379227994845e-308 -0.0 690 691-- special values 692asinh1000 asinh 0.0 0.0 -> 0.0 0.0 693asinh1001 asinh 0.0 -0.0 -> 0.0 -0.0 694asinh1002 asinh -0.0 0.0 -> -0.0 0.0 695asinh1003 asinh -0.0 -0.0 -> -0.0 -0.0 696asinh1004 asinh 0.0 inf -> inf 1.5707963267948966 697asinh1005 asinh 2.3 inf -> inf 1.5707963267948966 698asinh1006 asinh 0.0 nan -> nan nan 699asinh1007 asinh 2.3 nan -> nan nan 700asinh1008 asinh inf 0.0 -> inf 0.0 701asinh1009 asinh inf 2.3 -> inf 0.0 702asinh1010 asinh inf inf -> inf 0.78539816339744828 703asinh1011 asinh inf nan -> inf nan 704asinh1012 asinh nan 0.0 -> nan 0.0 705asinh1013 asinh nan 2.3 -> nan nan 706asinh1014 asinh nan inf -> inf nan ignore-real-sign 707asinh1015 asinh nan nan -> nan nan 708asinh1016 asinh 0.0 -inf -> inf -1.5707963267948966 709asinh1017 asinh 2.3 -inf -> inf -1.5707963267948966 710asinh1018 asinh inf -0.0 -> inf -0.0 711asinh1019 asinh inf -2.3 -> inf -0.0 712asinh1020 asinh inf -inf -> inf -0.78539816339744828 713asinh1021 asinh nan -0.0 -> nan -0.0 714asinh1022 asinh nan -2.3 -> nan nan 715asinh1023 asinh nan -inf -> inf nan ignore-real-sign 716asinh1024 asinh -0.0 -inf -> -inf -1.5707963267948966 717asinh1025 asinh -2.3 -inf -> -inf -1.5707963267948966 718asinh1026 asinh -0.0 nan -> nan nan 719asinh1027 asinh -2.3 nan -> nan nan 720asinh1028 asinh -inf -0.0 -> -inf -0.0 721asinh1029 asinh -inf -2.3 -> -inf -0.0 722asinh1030 asinh -inf -inf -> -inf -0.78539816339744828 723asinh1031 asinh -inf nan -> -inf nan 724asinh1032 asinh -0.0 inf -> -inf 1.5707963267948966 725asinh1033 asinh -2.3 inf -> -inf 1.5707963267948966 726asinh1034 asinh -inf 0.0 -> -inf 0.0 727asinh1035 asinh -inf 2.3 -> -inf 0.0 728asinh1036 asinh -inf inf -> -inf 0.78539816339744828 729 730 731--------------------------- 732-- atan: Inverse tangent -- 733--------------------------- 734 735-- zeros 736atan0000 atan 0.0 0.0 -> 0.0 0.0 737atan0001 atan 0.0 -0.0 -> 0.0 -0.0 738atan0002 atan -0.0 0.0 -> -0.0 0.0 739atan0003 atan -0.0 -0.0 -> -0.0 -0.0 740 741-- values along both sides of imaginary axis 742atan0010 atan 0.0 -9.8813129168249309e-324 -> 0.0 -9.8813129168249309e-324 743atan0011 atan -0.0 -9.8813129168249309e-324 -> -0.0 -9.8813129168249309e-324 744atan0012 atan 0.0 -1e-305 -> 0.0 -1e-305 745atan0013 atan -0.0 -1e-305 -> -0.0 -1e-305 746atan0014 atan 0.0 -1e-150 -> 0.0 -1e-150 747atan0015 atan -0.0 -1e-150 -> -0.0 -1e-150 748atan0016 atan 0.0 -9.9999999999999998e-17 -> 0.0 -9.9999999999999998e-17 749atan0017 atan -0.0 -9.9999999999999998e-17 -> -0.0 -9.9999999999999998e-17 750atan0018 atan 0.0 -0.001 -> 0.0 -0.0010000003333335333 751atan0019 atan -0.0 -0.001 -> -0.0 -0.0010000003333335333 752atan0020 atan 0.0 -0.57899999999999996 -> 0.0 -0.6609570902866303 753atan0021 atan -0.0 -0.57899999999999996 -> -0.0 -0.6609570902866303 754atan0022 atan 0.0 -0.99999999999999989 -> 0.0 -18.714973875118524 755atan0023 atan -0.0 -0.99999999999999989 -> -0.0 -18.714973875118524 756atan0024 atan 0.0 -1.0000000000000002 -> 1.5707963267948966 -18.36840028483855 757atan0025 atan -0.0 -1.0000000000000002 -> -1.5707963267948966 -18.36840028483855 758atan0026 atan 0.0 -1.0009999999999999 -> 1.5707963267948966 -3.8007011672919218 759atan0027 atan -0.0 -1.0009999999999999 -> -1.5707963267948966 -3.8007011672919218 760atan0028 atan 0.0 -2.0 -> 1.5707963267948966 -0.54930614433405489 761atan0029 atan -0.0 -2.0 -> -1.5707963267948966 -0.54930614433405489 762atan0030 atan 0.0 -20.0 -> 1.5707963267948966 -0.050041729278491265 763atan0031 atan -0.0 -20.0 -> -1.5707963267948966 -0.050041729278491265 764atan0032 atan 0.0 -10000000000000000.0 -> 1.5707963267948966 -9.9999999999999998e-17 765atan0033 atan -0.0 -10000000000000000.0 -> -1.5707963267948966 -9.9999999999999998e-17 766atan0034 atan 0.0 -9.9999999999999998e+149 -> 1.5707963267948966 -1e-150 767atan0035 atan -0.0 -9.9999999999999998e+149 -> -1.5707963267948966 -1e-150 768atan0036 atan 0.0 -1.0000000000000001e+299 -> 1.5707963267948966 -9.9999999999999999e-300 769atan0037 atan -0.0 -1.0000000000000001e+299 -> -1.5707963267948966 -9.9999999999999999e-300 770atan0038 atan 0.0 9.8813129168249309e-324 -> 0.0 9.8813129168249309e-324 771atan0039 atan -0.0 9.8813129168249309e-324 -> -0.0 9.8813129168249309e-324 772atan0040 atan 0.0 1e-305 -> 0.0 1e-305 773atan0041 atan -0.0 1e-305 -> -0.0 1e-305 774atan0042 atan 0.0 1e-150 -> 0.0 1e-150 775atan0043 atan -0.0 1e-150 -> -0.0 1e-150 776atan0044 atan 0.0 9.9999999999999998e-17 -> 0.0 9.9999999999999998e-17 777atan0045 atan -0.0 9.9999999999999998e-17 -> -0.0 9.9999999999999998e-17 778atan0046 atan 0.0 0.001 -> 0.0 0.0010000003333335333 779atan0047 atan -0.0 0.001 -> -0.0 0.0010000003333335333 780atan0048 atan 0.0 0.57899999999999996 -> 0.0 0.6609570902866303 781atan0049 atan -0.0 0.57899999999999996 -> -0.0 0.6609570902866303 782atan0050 atan 0.0 0.99999999999999989 -> 0.0 18.714973875118524 783atan0051 atan -0.0 0.99999999999999989 -> -0.0 18.714973875118524 784atan0052 atan 0.0 1.0000000000000002 -> 1.5707963267948966 18.36840028483855 785atan0053 atan -0.0 1.0000000000000002 -> -1.5707963267948966 18.36840028483855 786atan0054 atan 0.0 1.0009999999999999 -> 1.5707963267948966 3.8007011672919218 787atan0055 atan -0.0 1.0009999999999999 -> -1.5707963267948966 3.8007011672919218 788atan0056 atan 0.0 2.0 -> 1.5707963267948966 0.54930614433405489 789atan0057 atan -0.0 2.0 -> -1.5707963267948966 0.54930614433405489 790atan0058 atan 0.0 20.0 -> 1.5707963267948966 0.050041729278491265 791atan0059 atan -0.0 20.0 -> -1.5707963267948966 0.050041729278491265 792atan0060 atan 0.0 10000000000000000.0 -> 1.5707963267948966 9.9999999999999998e-17 793atan0061 atan -0.0 10000000000000000.0 -> -1.5707963267948966 9.9999999999999998e-17 794atan0062 atan 0.0 9.9999999999999998e+149 -> 1.5707963267948966 1e-150 795atan0063 atan -0.0 9.9999999999999998e+149 -> -1.5707963267948966 1e-150 796atan0064 atan 0.0 1.0000000000000001e+299 -> 1.5707963267948966 9.9999999999999999e-300 797atan0065 atan -0.0 1.0000000000000001e+299 -> -1.5707963267948966 9.9999999999999999e-300 798 799-- random inputs 800atan0100 atan -0.32538873661060214 -1.5530461550412578 -> -1.3682728427554227 -0.69451401598762041 801atan0101 atan -0.45863393495197929 -4799.1747094903594 -> -1.5707963068820623 -0.00020836916050636145 802atan0102 atan -8.3006999685976162 -2.6788890251790938 -> -1.4619862771810199 -0.034811669653327826 803atan0103 atan -1.8836307682985314 -1.1441976638861771 -> -1.1839984370871612 -0.20630956157312796 804atan0104 atan -0.00063230482407491669 -4.9312520961829485 -> -1.5707692093223147 -0.20563867743008304 805atan0105 atan -0.84278137150065946 179012.37493146997 -> -1.5707963267685969 5.5862059836425272e-06 806atan0106 atan -0.95487853984049287 14.311334539886177 -> -1.5661322859434561 0.069676024526232005 807atan0107 atan -1.3513252539663239 6.0500727021632198e-08 -> -0.93371676315220975 2.140800269742656e-08 808atan0108 atan -0.20566254458595795 0.11933771944159823 -> -0.20556463711174916 0.11493405387141732 809atan0109 atan -…
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