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✏️ dqLogB.decTest
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------------------------------------------------------------------------ -- dqLogB.decTest -- integral 754r adjusted exponent, for decQuads -- -- Copyright (c) IBM Corporation, 2005, 2008. All rights reserved. -- ------------------------------------------------------------------------ -- Please see the document "General Decimal Arithmetic Testcases" -- -- at http://www2.hursley.ibm.com/decimal for the description of -- -- these testcases. -- -- -- -- These testcases are experimental ('beta' versions), and they -- -- may contain errors. They are offered on an as-is basis. In -- -- particular, achieving the same results as the tests here is not -- -- a guarantee that an implementation complies with any Standard -- -- or specification. The tests are not exhaustive. -- -- -- -- Please send comments, suggestions, and corrections to the author: -- -- Mike Cowlishaw, IBM Fellow -- -- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK -- -- mfc@uk.ibm.com -- ------------------------------------------------------------------------ version: 2.59 extended: 1 clamp: 1 precision: 34 maxExponent: 6144 minExponent: -6143 rounding: half_even -- basics dqlogb000 logb 0 -> -Infinity Division_by_zero dqlogb001 logb 1E-6176 -> -6176 dqlogb002 logb 1E-6143 -> -6143 dqlogb003 logb 0.001 -> -3 dqlogb004 logb 0.03 -> -2 dqlogb005 logb 1 -> 0 dqlogb006 logb 2 -> 0 dqlogb007 logb 2.5 -> 0 dqlogb008 logb 2.50 -> 0 dqlogb009 logb 2.500 -> 0 dqlogb010 logb 10 -> 1 dqlogb011 logb 70 -> 1 dqlogb012 logb 100 -> 2 dqlogb013 logb 250 -> 2 dqlogb014 logb 9E+6144 -> 6144 dqlogb015 logb +Infinity -> Infinity -- negatives appear to be treated as positives dqlogb021 logb -0 -> -Infinity Division_by_zero dqlogb022 logb -1E-6176 -> -6176 dqlogb023 logb -9E-6143 -> -6143 dqlogb024 logb -0.001 -> -3 dqlogb025 logb -1 -> 0 dqlogb026 logb -2 -> 0 dqlogb027 logb -10 -> 1 dqlogb028 logb -70 -> 1 dqlogb029 logb -100 -> 2 dqlogb030 logb -9E+6144 -> 6144 dqlogb031 logb -Infinity -> Infinity -- zeros dqlogb111 logb 0 -> -Infinity Division_by_zero dqlogb112 logb -0 -> -Infinity Division_by_zero dqlogb113 logb 0E+4 -> -Infinity Division_by_zero dqlogb114 logb -0E+4 -> -Infinity Division_by_zero dqlogb115 logb 0.0000 -> -Infinity Division_by_zero dqlogb116 logb -0.0000 -> -Infinity Division_by_zero dqlogb117 logb 0E-141 -> -Infinity Division_by_zero dqlogb118 logb -0E-141 -> -Infinity Division_by_zero -- full coefficients, alternating bits dqlogb121 logb 268268268 -> 8 dqlogb122 logb -268268268 -> 8 dqlogb123 logb 134134134 -> 8 dqlogb124 logb -134134134 -> 8 -- Nmax, Nmin, Ntiny dqlogb131 logb 9.999999999999999999999999999999999E+6144 -> 6144 dqlogb132 logb 1E-6143 -> -6143 dqlogb133 logb 1.000000000000000000000000000000000E-6143 -> -6143 dqlogb134 logb 1E-6176 -> -6176 dqlogb135 logb -1E-6176 -> -6176 dqlogb136 logb -1.000000000000000000000000000000000E-6143 -> -6143 dqlogb137 logb -1E-6143 -> -6143 dqlogb1614 logb -9.999999999999999999999999999999999E+6144 -> 6144 -- ones dqlogb0061 logb 1 -> 0 dqlogb0062 logb 1.0 -> 0 dqlogb0063 logb 1.000000000000000 -> 0 -- notable cases -- exact powers of 10 dqlogb1100 logb 1 -> 0 dqlogb1101 logb 10 -> 1 dqlogb1102 logb 100 -> 2 dqlogb1103 logb 1000 -> 3 dqlogb1104 logb 10000 -> 4 dqlogb1105 logb 100000 -> 5 dqlogb1106 logb 1000000 -> 6 dqlogb1107 logb 10000000 -> 7 dqlogb1108 logb 100000000 -> 8 dqlogb1109 logb 1000000000 -> 9 dqlogb1110 logb 10000000000 -> 10 dqlogb1111 logb 100000000000 -> 11 dqlogb1112 logb 1000000000000 -> 12 dqlogb1113 logb 0.00000000001 -> -11 dqlogb1114 logb 0.0000000001 -> -10 dqlogb1115 logb 0.000000001 -> -9 dqlogb1116 logb 0.00000001 -> -8 dqlogb1117 logb 0.0000001 -> -7 dqlogb1118 logb 0.000001 -> -6 dqlogb1119 logb 0.00001 -> -5 dqlogb1120 logb 0.0001 -> -4 dqlogb1121 logb 0.001 -> -3 dqlogb1122 logb 0.01 -> -2 dqlogb1123 logb 0.1 -> -1 dqlogb1124 logb 1E-99 -> -99 dqlogb1125 logb 1E-100 -> -100 dqlogb1127 logb 1E-299 -> -299 dqlogb1126 logb 1E-6143 -> -6143 -- suggestions from Ilan Nehama dqlogb1400 logb 10E-3 -> -2 dqlogb1401 logb 10E-2 -> -1 dqlogb1402 logb 100E-2 -> 0 dqlogb1403 logb 1000E-2 -> 1 dqlogb1404 logb 10000E-2 -> 2 dqlogb1405 logb 10E-1 -> 0 dqlogb1406 logb 100E-1 -> 1 dqlogb1407 logb 1000E-1 -> 2 dqlogb1408 logb 10000E-1 -> 3 dqlogb1409 logb 10E0 -> 1 dqlogb1410 logb 100E0 -> 2 dqlogb1411 logb 1000E0 -> 3 dqlogb1412 logb 10000E0 -> 4 dqlogb1413 logb 10E1 -> 2 dqlogb1414 logb 100E1 -> 3 dqlogb1415 logb 1000E1 -> 4 dqlogb1416 logb 10000E1 -> 5 dqlogb1417 logb 10E2 -> 3 dqlogb1418 logb 100E2 -> 4 dqlogb1419 logb 1000E2 -> 5 dqlogb1420 logb 10000E2 -> 6 -- special values dqlogb820 logb Infinity -> Infinity dqlogb821 logb 0 -> -Infinity Division_by_zero dqlogb822 logb NaN -> NaN dqlogb823 logb sNaN -> NaN Invalid_operation -- propagating NaNs dqlogb824 logb sNaN123 -> NaN123 Invalid_operation dqlogb825 logb -sNaN321 -> -NaN321 Invalid_operation dqlogb826 logb NaN456 -> NaN456 dqlogb827 logb -NaN654 -> -NaN654 dqlogb828 logb NaN1 -> NaN1 -- Null test dqlogb900 logb # -> NaN Invalid_operation
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