diff options
Diffstat (limited to 'Lib/test/math_testcases.txt')
| -rw-r--r-- | Lib/test/math_testcases.txt | 114 |
1 files changed, 114 insertions, 0 deletions
diff --git a/Lib/test/math_testcases.txt b/Lib/test/math_testcases.txt index 5e24335a87..7d1c085271 100644 --- a/Lib/test/math_testcases.txt +++ b/Lib/test/math_testcases.txt @@ -517,3 +517,117 @@ expm10306 expm1 1.79e308 -> inf overflow -- weaker version of expm10302 expm10307 expm1 709.5 -> 1.3549863193146328e+308 + +------------------------- +-- log2: log to base 2 -- +------------------------- + +-- special values +log20000 log2 0.0 -> -inf divide-by-zero +log20001 log2 -0.0 -> -inf divide-by-zero +log20002 log2 inf -> inf +log20003 log2 -inf -> nan invalid +log20004 log2 nan -> nan + +-- exact value at 1.0 +log20010 log2 1.0 -> 0.0 + +-- negatives +log20020 log2 -5e-324 -> nan invalid +log20021 log2 -1.0 -> nan invalid +log20022 log2 -1.7e-308 -> nan invalid + +-- exact values at powers of 2 +log20100 log2 2.0 -> 1.0 +log20101 log2 4.0 -> 2.0 +log20102 log2 8.0 -> 3.0 +log20103 log2 16.0 -> 4.0 +log20104 log2 32.0 -> 5.0 +log20105 log2 64.0 -> 6.0 +log20106 log2 128.0 -> 7.0 +log20107 log2 256.0 -> 8.0 +log20108 log2 512.0 -> 9.0 +log20109 log2 1024.0 -> 10.0 +log20110 log2 2048.0 -> 11.0 + +log20200 log2 0.5 -> -1.0 +log20200 log2 0.25 -> -2.0 +log20200 log2 0.125 -> -3.0 +log20200 log2 0.0625 -> -4.0 + +-- values close to 1.0 +log20300 log2 1.0000000000000002 -> 3.2034265038149171e-16 +log20301 log2 1.0000000001 -> 1.4426951601859516e-10 +log20302 log2 1.00001 -> 1.4426878274712997e-5 + +log20310 log2 0.9999999999999999 -> -1.6017132519074588e-16 +log20311 log2 0.9999999999 -> -1.4426951603302210e-10 +log20312 log2 0.99999 -> -1.4427022544056922e-5 + +-- tiny values +log20400 log2 5e-324 -> -1074.0 +log20401 log2 1e-323 -> -1073.0 +log20402 log2 1.5e-323 -> -1072.4150374992789 +log20403 log2 2e-323 -> -1072.0 + +log20410 log2 1e-308 -> -1023.1538532253076 +log20411 log2 2.2250738585072014e-308 -> -1022.0 +log20412 log2 4.4501477170144028e-308 -> -1021.0 +log20412 log2 1e-307 -> -1019.8319251304202 + +-- huge values +log20500 log2 1.7976931348623157e+308 -> 1024.0 +log20501 log2 1.7e+308 -> 1023.9193879716706 +log20502 log2 8.9884656743115795e+307 -> 1023.0 + +-- selection of random values +log20600 log2 -7.2174324841039838e+289 -> nan invalid +log20601 log2 -2.861319734089617e+265 -> nan invalid +log20602 log2 -4.3507646894008962e+257 -> nan invalid +log20603 log2 -6.6717265307520224e+234 -> nan invalid +log20604 log2 -3.9118023786619294e+229 -> nan invalid +log20605 log2 -1.5478221302505161e+206 -> nan invalid +log20606 log2 -1.4380485131364602e+200 -> nan invalid +log20607 log2 -3.7235198730382645e+185 -> nan invalid +log20608 log2 -1.0472242235095724e+184 -> nan invalid +log20609 log2 -5.0141781956163884e+160 -> nan invalid +log20610 log2 -2.1157958031160324e+124 -> nan invalid +log20611 log2 -7.9677558612567718e+90 -> nan invalid +log20612 log2 -5.5553906194063732e+45 -> nan invalid +log20613 log2 -16573900952607.953 -> nan invalid +log20614 log2 -37198371019.888618 -> nan invalid +log20615 log2 -6.0727115121422674e-32 -> nan invalid +log20616 log2 -2.5406841656526057e-38 -> nan invalid +log20617 log2 -4.9056766703267657e-43 -> nan invalid +log20618 log2 -2.1646786075228305e-71 -> nan invalid +log20619 log2 -2.470826790488573e-78 -> nan invalid +log20620 log2 -3.8661709303489064e-165 -> nan invalid +log20621 log2 -1.0516496976649986e-182 -> nan invalid +log20622 log2 -1.5935458614317996e-255 -> nan invalid +log20623 log2 -2.8750977267336654e-293 -> nan invalid +log20624 log2 -7.6079466794732585e-296 -> nan invalid +log20625 log2 3.2073253539988545e-307 -> -1018.1505544209213 +log20626 log2 1.674937885472249e-244 -> -809.80634755783126 +log20627 log2 1.0911259044931283e-214 -> -710.76679472274213 +log20628 log2 2.0275372624809709e-154 -> -510.55719818383272 +log20629 log2 7.3926087369631841e-115 -> -379.13564735312292 +log20630 log2 1.3480198206342423e-86 -> -285.25497445094436 +log20631 log2 8.9927384655719947e-83 -> -272.55127136401637 +log20632 log2 3.1452398713597487e-60 -> -197.66251564496875 +log20633 log2 7.0706573215457351e-55 -> -179.88420087782217 +log20634 log2 3.1258285390731669e-49 -> -161.13023800505653 +log20635 log2 8.2253046627829942e-41 -> -133.15898277355879 +log20636 log2 7.8691367397519897e+49 -> 165.75068202732419 +log20637 log2 2.9920561983925013e+64 -> 214.18453534573757 +log20638 log2 4.7827254553946841e+77 -> 258.04629628445673 +log20639 log2 3.1903566496481868e+105 -> 350.47616767491166 +log20640 log2 5.6195082449502419e+113 -> 377.86831861008250 +log20641 log2 9.9625658250651047e+125 -> 418.55752921228753 +log20642 log2 2.7358945220961532e+145 -> 483.13158636923413 +log20643 log2 2.785842387926931e+174 -> 579.49360214860280 +log20644 log2 2.4169172507252751e+193 -> 642.40529039289652 +log20645 log2 3.1689091206395632e+205 -> 682.65924573798395 +log20646 log2 2.535995592365391e+208 -> 692.30359597460460 +log20647 log2 6.2011236566089916e+233 -> 776.64177576730913 +log20648 log2 2.1843274820677632e+253 -> 841.57499717289647 +log20649 log2 8.7493931063474791e+297 -> 989.74182713073981 |