log2 # Name of the function to test # log2.testdata # copyright (C) 2005 Ch. Q. Lauter, F.de Dinechin and V.Lefevre # This file is part of crlibm and is distributed under the GNU Public Licence # See file COPYING for details # The following lines are either comments (beginning with a #) # or give # 1/ a rounding mode : RN|RU|RD|RZ (crlibm syntax) or N|P|M|Z (libmcr syntax) # 2/ The high and low hexadecimal halves of an input # 3/ The high and low hexadecimal halves of the expected corresponding output # Very worst case N 0x3FFB4EBE 0x40C95A01 0x3FE8ADEA 0xC981E00E # 1.706724408218747379706314859504e+00 # undocumented values, probably by Christoph N 0d6cea1f 96f699f5 c089412b 93076276 N 36e597a1 eba0d538 c0621229 6708397f # One in five of the very worst cases computed by Lefevre and Muller. # Rounding these values requires evaluating the function to at least 2^(-100). # These worst cases have been selected thanks to the filterlists 5 script # If you want the full list please contact Jean-Michel Muller Z 0x3FE245DB 0x892BD6E5 0xBFE9DE26 0x1C7C8623 # 5.710275344015057763513709687686e-01 N 0x3FE255A2 0xA884EE79 0xBFE9B65A 0x7B6F1152 # 5.729535380737181826660275874019e-01 Z 0x3FF78C5A 0x435DADB6 0x3FE1D76F 0x15181BED # 1.471765769146128999267375547788e+00 N 0x3FFE9765 0x93D80C0B 0x3FEDEBF6 0x3860D0F5 # 1.911962106242529157995591049257e+00 Z 0x3FF78C5A 0x435DADB6 0x3FE1D76F 0x15181BED # 1.471765769146128999267375547788e+00 N 0x3FFE9765 0x93D80C0B 0x3FEDEBF6 0x3860D0F5 # 1.911962106242529157995591049257e+00 N 0x40081343 0xFE42DE87 0x3FF96E81 0xCAD230DA # 3.009407030502021296314296705532e+00 Z 0x40089D94 0x8A94FE17 0x3FF9F1A7 0xD355CB4F # 3.076943476364032203917986407760e+00 Z 0x400E5053 0xB714D76F 0x3FFEC01C 0x07D5C8B9 # 3.789222173999341247707661750610e+00 N 0x400F234A 0x059ADBAE 0x3FFF5E9B 0x529CD31F # 3.892231029308695688939678802853e+00 Z 0x4011BA39 0xFF28E3EA 0x40012EEC 0xF76D63CD # 4.431861864920373150766863545869e+00 N 0x401CC7C6 0xAF92F393 0x4006C6AF 0x049A8626 # 7.195093863815503532066486513941e+00 N 0x403C526C 0xCD9628C9 0x40134B9F 0x4BA3A37B # 2.832197270313261938667892536614e+01 # Bad cases generated by tests/crlibm_generate_test_vectors log2 20 0 N 09010cb4 b87cf7a6 c08b7744 432d6c08 # 2.643801551037429843074164038041e-265 M 56f7a6f1 bfecd5c9 40770905 b9e3c97b # 8.887684129119792667225814638419e+110 P 56f7a6f1 bfecd5c9 40770905 b9e3c97c # 8.887684129119792667225814638419e+110 Z 56f7a6f1 bfecd5c9 40770905 b9e3c97b # 8.887684129119792667225814638419e+110 M 51815ee1 d3361233 407191e5 b28413b6 # 4.218173622828684580644850825746e+84 P 51815ee1 d3361233 407191e5 b28413b7 # 4.218173622828684580644850825746e+84 Z 51815ee1 d3361233 407191e5 b28413b6 # 4.218173622828684580644850825746e+84 M 09326e0e 3075ae29 c08b5e5e 417d3827 # 2.286266690475151143991963502995e-264 P 09326e0e 3075ae29 c08b5e5e 417d3826 # 2.286266690475151143991963502995e-264 Z 09326e0e 3075ae29 c08b5e5e 417d3826 # 2.286266690475151143991963502995e-264 N 15cbe0a2 0acb57bd c0851197 7eb4031c # 1.111440815285384282718728797629e-203 N 37e11032 97293081 c0601d07 994bd16d # 1.567014045546800414877544229906e-39 M 442d4a08 bf9624d3 4050f7d3 b57a4285 # 2.701451512738905784320000000000e+20 P 442d4a08 bf9624d3 4050f7d3 b57a4286 # 2.701451512738905784320000000000e+20 Z 442d4a08 bf9624d3 4050f7d3 b57a4285 # 2.701451512738905784320000000000e+20 N 5b6012a5 4c079407 407b701a d6c90591 # 1.426069176313182772187271319520e+132 N 74b4e55b 2fdb5c73 408a6314 c94a6f59 # 1.531996982085165638097754215497e+254 M 02aed53b 71e03807 c08ea06d c5964ab1 # 9.429077056757101977465712614647e-296 P 02aed53b 71e03807 c08ea06d c5964ab0 # 9.429077056757101977465712614647e-296 Z 02aed53b 71e03807 c08ea06d c5964ab0 # 9.429077056757101977465712614647e-296 N 1d6eff2c 505499a5 c081405e 1d243800 # 6.570657878503617244711645063844e-167 M 50cfca31 5258ba75 4070dfd9 0ee4e056 # 1.884676662073399280746701696404e+81 P 50cfca31 5258ba75 4070dfd9 0ee4e057 # 1.884676662073399280746701696404e+81 Z 50cfca31 5258ba75 4070dfd9 0ee4e056 # 1.884676662073399280746701696404e+81 M 2bd65ac4 f0eee743 c0741847 b074b379 # 1.635263288664831019205260390331e-97 P 2bd65ac4 f0eee743 c0741847 b074b378 # 1.635263288664831019205260390331e-97 Z 2bd65ac4 f0eee743 c0741847 b074b378 # 1.635263288664831019205260390331e-97 M 76094828 164a9ff6 408b0d47 be3a1f5d # 3.887185961531632529594287186679e+260 P 76094828 164a9ff6 408b0d47 be3a1f5e # 3.887185961531632529594287186679e+260 Z 76094828 164a9ff6 408b0d47 be3a1f5d # 3.887185961531632529594287186679e+260 M 31466b1d 2155edc9 c06d506d ac1e25d1 # 2.537674447183112733959038891510e-71 P 31466b1d 2155edc9 c06d506d ac1e25d0 # 2.537674447183112733959038891510e-71 Z 31466b1d 2155edc9 c06d506d ac1e25d0 # 2.537674447183112733959038891510e-71 M 5b0f323a 8ebdcead 407b1f69 abe015c9 # 4.324838749857688034094225538390e+130 P 5b0f323a 8ebdcead 407b1f69 abe015ca # 4.324838749857688034094225538390e+130 Z 5b0f323a 8ebdcead 407b1f69 abe015c9 # 4.324838749857688034094225538390e+130 M 107a0777 55c2dd7c c087ba62 2fe21746 # 2.682523550533640765089171433109e-229 P 107a0777 55c2dd7c c087ba62 2fe21745 # 2.682523550533640765089171433109e-229 Z 107a0777 55c2dd7c c087ba62 2fe21745 # 2.682523550533640765089171433109e-229 M 2577ca15 77de5e65 c07a76d8 142e5c7b # 3.431983280192438031316666451158e-128 P 2577ca15 77de5e65 c07a76d8 142e5c7a # 3.431983280192438031316666451158e-128 Z 2577ca15 77de5e65 c07a76d8 142e5c7a # 3.431983280192438031316666451158e-128 N 537d3b9c c878d409 40738de9 8ce427cf # 1.524438776092007499136584606109e+94 N 0f823028 0e99e90a c0883685 46a82ddc # 5.720328623925579169824604807282e-234 M 68fed608 ba861707 40848792 874083a8 # 5.762569887530403124504731745369e+197 P 68fed608 ba861707 40848792 874083a9 # 5.762569887530403124504731745369e+197 Z 68fed608 ba861707 40848792 874083a8 # 5.762569887530403124504731745369e+197 N 100cdc95 123ec32b c087f130 fbfec60f # 2.323777238909358066020054974403e-231 M 0cddec0e 459a710b c08988c6 5ef7a1df # 1.069881133910348763662207785421e-246 P 0cddec0e 459a710b c08988c6 5ef7a1de # 1.069881133910348763662207785421e-246 Z 0cddec0e 459a710b c08988c6 5ef7a1de # 1.069881133910348763662207785421e-246 M 021dffc5 b12bd01b c08ee8be c6936d8a # 1.791813006251496280519077165188e-298 P 021dffc5 b12bd01b c08ee8be c6936d89 # 1.791813006251496280519077165188e-298 Z 021dffc5 b12bd01b c08ee8be c6936d89 # 1.791813006251496280519077165188e-298 N 6ca76cf5 953c50f1 40865c66 6e82845e # 2.523585676661139113192316944600e+215 M 0395c48a d1408a31 c08e2c72 713f4050 # 2.181311108037780118613049746973e-291 P 0395c48a d1408a31 c08e2c72 713f404f # 2.181311108037780118613049746973e-291 Z 0395c48a d1408a31 c08e2c72 713f404f # 2.181311108037780118613049746973e-291 N 590b7a44 86dd9bfb 40791c7b a2c3b3ef # 8.869256282502346185155268894965e+120 M 47e6e6ec 6815fc1b 405fe11d 27cc3671 # 2.435363126394438788227448098994e+38 P 47e6e6ec 6815fc1b 405fe11d 27cc3672 # 2.435363126394438788227448098994e+38 Z 47e6e6ec 6815fc1b 405fe11d 27cc3671 # 2.435363126394438788227448098994e+38 N 4ee3299c 05da4f9e 406de853 b1e9040e # 1.058039756220537108798054989787e+72 M 1f045034 99b5b6b4 c080753e c3e66a88 # 2.889700552127225422286329206577e-159 P 1f045034 99b5b6b4 c080753e c3e66a87 # 2.889700552127225422286329206577e-159 Z 1f045034 99b5b6b4 c080753e c3e66a87 # 2.889700552127225422286329206577e-159 N 5dba2fb2 846a526c 407dcb5f 32449306 # 3.193246067969045780324366598145e+143 N 6c07fad0 fdb60d7b 40860cab 8264d13b # 2.522735030298326577516068306398e+212 M 70223593 0a2bdb1b 4088197e 28f6b534 # 1.413511436360484928395765008690e+232 P 70223593 0a2bdb1b 4088197e 28f6b535 # 1.413511436360484928395765008690e+232 Z 70223593 0a2bdb1b 4088197e 28f6b534 # 1.413511436360484928395765008690e+232 N 7dd9e77c b6a2a1f0 408ef58f 995bc088 # 1.694129841877631008808501506737e+298 N 548086e2 0b31cc58 407490bf 75a9198b # 1.129638900357372248055885416725e+99 N 43e421ed 0fb18676 404faa6d 27680211 # 1.160560965318945587200000000000e+19 M 0d80a839 6bca7c94 c0893789 13d91e66 # 1.219757766334606437384523244891e-243 P 0d80a839 6bca7c94 c0893789 13d91e65 # 1.219757766334606437384523244891e-243 Z 0d80a839 6bca7c94 c0893789 13d91e65 # 1.219757766334606437384523244891e-243 M 4af0cb29 a0742453 4066023c 210430af # 1.005317309719003655503172775067e+53 P 4af0cb29 a0742453 4066023c 210430b0 # 1.005317309719003655503172775067e+53 Z 4af0cb29 a0742453 4066023c 210430af # 1.005317309719003655503172775067e+53 M 437ba6b2 e02cbd80 404c6506 bfb97d65 # 1.245297850656911360000000000000e+17 P 437ba6b2 e02cbd80 404c6506 bfb97d66 # 1.245297850656911360000000000000e+17 Z 437ba6b2 e02cbd80 404c6506 bfb97d65 # 1.245297850656911360000000000000e+17 M 72262812 6e9c3449 40891bc1 dd2babbc # 7.387003508238810188400636181818e+241 P 72262812 6e9c3449 40891bc1 dd2babbd # 7.387003508238810188400636181818e+241 Z 72262812 6e9c3449 40891bc1 dd2babbc # 7.387003508238810188400636181818e+241 M 14273ea2 5cb008b8 c085e3b0 7b16df62 # 1.380944890463718112374326654167e-211 P 14273ea2 5cb008b8 c085e3b0 7b16df61 # 1.380944890463718112374326654167e-211 Z 14273ea2 5cb008b8 c085e3b0 7b16df61 # 1.380944890463718112374326654167e-211 M 471548f1 df9cbdb5 405c9a5a 4b80ce62 # 2.762943267812643058019921258820e+34 P 471548f1 df9cbdb5 405c9a5a 4b80ce63 # 2.762943267812643058019921258820e+34 Z 471548f1 df9cbdb5 405c9a5a 4b80ce62 # 2.762943267812643058019921258820e+34 N 0a4657ed 38a4f889 c08ad425 500a29cc # 3.632990280277094687002510796702e-259 N 2af90e6d 81808e2e c074f5a5 75626f34 # 1.118714912243758729514343904179e-101 N 20ff51cb f466313c c07ef07f 0436f8c1 # 9.567913549931045186278027521348e-150 M 65724dec 6e23ed4f 4082c18d 8d951fe2 # 4.747146667134388598990949893054e+180 P 65724dec 6e23ed4f 4082c18d 8d951fe3 # 4.747146667134388598990949893054e+180 Z 65724dec 6e23ed4f 4082c18d 8d951fe2 # 4.747146667134388598990949893054e+180 N 184a9af6 73488d6c c083d221 7fc553e3 # 1.166275915165854156206106997597e-191 M 56e2da5b 5377d6fa 4076f3c9 99b231de # 3.542157602849815808259731718966e+110 P 56e2da5b 5377d6fa 4076f3c9 99b231df # 3.542157602849815808259731718966e+110 Z 56e2da5b 5377d6fa 4076f3c9 99b231de # 3.542157602849815808259731718966e+110 M 4b84dafa 65e1fe82 40672c3c 31b4c739 # 6.392156372850441948634063767462e+55 P 4b84dafa 65e1fe82 40672c3c 31b4c73a # 6.392156372850441948634063767462e+55 Z 4b84dafa 65e1fe82 40672c3c 31b4c739 # 6.392156372850441948634063767462e+55 M 5053d2c3 8bd01d79 407064f2 2d077cde # 9.181523575370561532709848749746e+78 P 5053d2c3 8bd01d79 407064f2 2d077cdf # 9.181523575370561532709848749746e+78 Z 5053d2c3 8bd01d79 407064f2 2d077cde # 9.181523575370561532709848749746e+78 N 43cdc127 ed4a534a 404ef290 90318fc4 # 4.288077595425543168000000000000e+18 M 3e4cc318 66cbb785 c03a2766 3588c92f # 1.339339236172046409590309998120e-08 P 3e4cc318 66cbb785 c03a2766 3588c92e # 1.339339236172046409590309998120e-08 Z 3e4cc318 66cbb785 c03a2766 3588c92e # 1.339339236172046409590309998120e-08 N 47f4f5e7 f97770d0 40600c77 a739d98e # 4.457820423589657268403111031324e+38 M 76c1ac15 31320053 408b6925 b3f0654e # 1.112952917855509058723476146344e+264 P 76c1ac15 31320053 408b6925 b3f0654f # 1.112952917855509058723476146344e+264 Z 76c1ac15 31320053 408b6925 b3f0654e # 1.112952917855509058723476146344e+264 M 6b10ecb3 5c3ed7cc 408590a5 fdfb91a3 # 5.433701065798880481889869474529e+207 P 6b10ecb3 5c3ed7cc 408590a5 fdfb91a4 # 5.433701065798880481889869474529e+207 Z 6b10ecb3 5c3ed7cc 408590a5 fdfb91a3 # 5.433701065798880481889869474529e+207 M 17cc30c4 84168543 c0841176 80d462d6 # 4.827202998069660132490998763970e-194 P 17cc30c4 84168543 c0841176 80d462d5 # 4.827202998069660132490998763970e-194 Z 17cc30c4 84168543 c0841176 80d462d5 # 4.827202998069660132490998763970e-194 N 3ea1ee59 e9b61e48 c034d5ea 9d211d1d # 5.343872148547027393417942209286e-07 M 7d10bd35 5f121196 408e9085 6d32081a # 2.672684944674978529295516522485e+294 P 7d10bd35 5f121196 408e9085 6d32081b # 2.672684944674978529295516522485e+294 Z 7d10bd35 5f121196 408e9085 6d32081a # 2.672684944674978529295516522485e+294 M 6a13cc6a 24ba06f2 40851275 6393ab7d # 9.699051487358757961263987837620e+202 P 6a13cc6a 24ba06f2 40851275 6393ab7e # 9.699051487358757961263987837620e+202 Z 6a13cc6a 24ba06f2 40851275 6393ab7d # 9.699051487358757961263987837620e+202 M 48c700d0 c8267dbe 4061b0c2 a80c0679 # 4.007720190187349059488703920797e+42 P 48c700d0 c8267dbe 4061b0c2 a80c067a # 4.007720190187349059488703920797e+42 Z 48c700d0 c8267dbe 4061b0c2 a80c0679 # 4.007720190187349059488703920797e+42 M 42c869da 7c4123be 4046ce07 97339c4e # 5.368583241786348437500000000000e+13 P 42c869da 7c4123be 4046ce07 97339c4f # 5.368583241786348437500000000000e+13 Z 42c869da 7c4123be 4046ce07 97339c4e # 5.368583241786348437500000000000e+13 N 4230ab38 bd115e4f 4042078f fa1c56e2 # 7.159209908936839294433593750000e+10 M 42493c91 940221e9 4042d427 2c190113 # 2.167807119402649230957031250000e+11 P 42493c91 940221e9 4042d427 2c190114 # 2.167807119402649230957031250000e+11 Z 42493c91 940221e9 4042d427 2c190113 # 2.167807119402649230957031250000e+11 M 4c2e991c 281b3287 40687dee 8c04c718 # 9.603364900918120238068014906678e+58 P 4c2e991c 281b3287 40687dee 8c04c719 # 9.603364900918120238068014906678e+58 Z 4c2e991c 281b3287 40687dee 8c04c718 # 9.603364900918120238068014906678e+58 M 547c1804 a39ad6c9 40748cfe b17125f7 # 9.601285918402335486502004258994e+98 P 547c1804 a39ad6c9 40748cfe b17125f8 # 9.601285918402335486502004258994e+98 Z 547c1804 a39ad6c9 40748cfe b17125f7 # 9.601285918402335486502004258994e+98 M 161a3041 f22b01e8 c084ea50 27a71f62 # 3.341132125796710502268699707142e-202 P 161a3041 f22b01e8 c084ea50 27a71f61 # 3.341132125796710502268699707142e-202 Z 161a3041 f22b01e8 c084ea50 27a71f61 # 3.341132125796710502268699707142e-202 M 638f8ac4 53760a8a 4081cfd5 69609706 # 3.809233358023687024142041697016e+171 P 638f8ac4 53760a8a 4081cfd5 69609707 # 3.809233358023687024142041697016e+171 Z 638f8ac4 53760a8a 4081cfd5 69609706 # 3.809233358023687024142041697016e+171 M 16ee6cbf b980a0f7 c0848095 24cd9f06 # 3.179805857938566810274467714063e-198 P 16ee6cbf b980a0f7 c0848095 24cd9f05 # 3.179805857938566810274467714063e-198 Z 16ee6cbf b980a0f7 c0848095 24cd9f05 # 3.179805857938566810274467714063e-198 M 6b7adcaf a87fe034 4085c5fa e01f2679 # 5.519455532745494734060976804423e+209 P 6b7adcaf a87fe034 4085c5fa e01f267a # 5.519455532745494734060976804423e+209 Z 6b7adcaf a87fe034 4085c5fa e01f2679 # 5.519455532745494734060976804423e+209 N 218887a5 2d7c3ae9 c07e6622 f32494e9 # 3.836783309729249656417672085067e-147 N 2bcc1afb 4a76f5e0 c07422fe df583c4f # 1.027971656876575363263011981060e-97 N 669537be cd8872d4 40835341 f2234f65 # 1.442503154356882875388832076314e+186 M 50b8828e bdf4ac63 4070c9d8 42bda918 # 7.265441319221895223897943245587e+80 P 50b8828e bdf4ac63 4070c9d8 42bda919 # 7.265441319221895223897943245587e+80 Z 50b8828e bdf4ac63 4070c9d8 42bda918 # 7.265441319221895223897943245587e+80 N 48d41281 8b1df050 4061ca77 e0292baa # 6.994171975950923248294285123026e+42 M 24b8798a 7b5581cc c07b3630 3cb49ba9 # 8.620262975806254716504573719341e-132 P 24b8798a 7b5581cc c07b3630 3cb49ba8 # 8.620262975806254716504573719341e-132 Z 24b8798a 7b5581cc c07b3630 3cb49ba8 # 8.620262975806254716504573719341e-132 N 3cbab980 1e2d1a6e c049a144 7ff171d4 # 3.708784831141337374595618943405e-16 N 5af042bf fb746904 407b005f 86073362 # 1.127141657900579031734479392334e+130 M 4d33b9eb 815fd746 406a89aa 59dc03ec # 8.114908476621989747509992822698e+63 P 4d33b9eb 815fd746 406a89aa 59dc03ed # 8.114908476621989747509992822698e+63 Z 4d33b9eb 815fd746 406a89aa 59dc03ec # 8.114908476621989747509992822698e+63 M 48910b7a 6043525b 406142eb a00085b5 # 3.712036581293712527693438380255e+41 P 48910b7a 6043525b 406142eb a00085b6 # 3.712036581293712527693438380255e+41 Z 48910b7a 6043525b 406142eb a00085b5 # 3.712036581293712527693438380255e+41 N 58811eea 17b9f3e5 40789190 13724442 # 2.158695266422826150022857618571e+118 M 77198456 c6598259 408b9563 171e6329 # 5.142389163740648205758606985215e+265 P 77198456 c6598259 408b9563 171e632a # 5.142389163740648205758606985215e+265 Z 77198456 c6598259 408b9563 171e6329 # 5.142389163740648205758606985215e+265 N 13338f3d e97d6cee c0865dae 7d1dbf95 # 3.546187743572093367780266403250e-216 N 209f921e 9a66bb2d c07f504f cc6228a1 # 1.506980034638550281586486892780e-151 N 22348236 6767368d c07dba44 f9e8d282 # 6.569601076884624133015351057550e-144 N 456dad3f 6a975fd5 4055f90a 6c32ba27 # 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