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✏️ ddToIntegral.decTest
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------------------------------------------------------------------------ -- ddToIntegral.decTest -- round Double to integral value -- -- Copyright (c) IBM Corporation, 2001, 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 -- This set of tests tests the extended specification 'round-to-integral -- value-exact' operations (from IEEE 854, later modified in 754r). -- All non-zero results are defined as being those from either copy or -- quantize, so those are assumed to have been tested extensively -- elsewhere; the tests here are for integrity, rounding mode, etc. -- Also, it is assumed the test harness will use these tests for both -- ToIntegralExact (which does set Inexact) and the fixed-name -- functions (which do not set Inexact). -- Note that decNumber implements an earlier definition of toIntegral -- which never sets Inexact; the decTest operator for that is called -- 'tointegral' instead of 'tointegralx'. precision: 16 maxExponent: 384 minExponent: -383 extended: 1 clamp: 1 rounding: half_even ddintx001 tointegralx 0 -> 0 ddintx002 tointegralx 0.0 -> 0 ddintx003 tointegralx 0.1 -> 0 Inexact Rounded ddintx004 tointegralx 0.2 -> 0 Inexact Rounded ddintx005 tointegralx 0.3 -> 0 Inexact Rounded ddintx006 tointegralx 0.4 -> 0 Inexact Rounded ddintx007 tointegralx 0.5 -> 0 Inexact Rounded ddintx008 tointegralx 0.6 -> 1 Inexact Rounded ddintx009 tointegralx 0.7 -> 1 Inexact Rounded ddintx010 tointegralx 0.8 -> 1 Inexact Rounded ddintx011 tointegralx 0.9 -> 1 Inexact Rounded ddintx012 tointegralx 1 -> 1 ddintx013 tointegralx 1.0 -> 1 Rounded ddintx014 tointegralx 1.1 -> 1 Inexact Rounded ddintx015 tointegralx 1.2 -> 1 Inexact Rounded ddintx016 tointegralx 1.3 -> 1 Inexact Rounded ddintx017 tointegralx 1.4 -> 1 Inexact Rounded ddintx018 tointegralx 1.5 -> 2 Inexact Rounded ddintx019 tointegralx 1.6 -> 2 Inexact Rounded ddintx020 tointegralx 1.7 -> 2 Inexact Rounded ddintx021 tointegralx 1.8 -> 2 Inexact Rounded ddintx022 tointegralx 1.9 -> 2 Inexact Rounded -- negatives ddintx031 tointegralx -0 -> -0 ddintx032 tointegralx -0.0 -> -0 ddintx033 tointegralx -0.1 -> -0 Inexact Rounded ddintx034 tointegralx -0.2 -> -0 Inexact Rounded ddintx035 tointegralx -0.3 -> -0 Inexact Rounded ddintx036 tointegralx -0.4 -> -0 Inexact Rounded ddintx037 tointegralx -0.5 -> -0 Inexact Rounded ddintx038 tointegralx -0.6 -> -1 Inexact Rounded ddintx039 tointegralx -0.7 -> -1 Inexact Rounded ddintx040 tointegralx -0.8 -> -1 Inexact Rounded ddintx041 tointegralx -0.9 -> -1 Inexact Rounded ddintx042 tointegralx -1 -> -1 ddintx043 tointegralx -1.0 -> -1 Rounded ddintx044 tointegralx -1.1 -> -1 Inexact Rounded ddintx045 tointegralx -1.2 -> -1 Inexact Rounded ddintx046 tointegralx -1.3 -> -1 Inexact Rounded ddintx047 tointegralx -1.4 -> -1 Inexact Rounded ddintx048 tointegralx -1.5 -> -2 Inexact Rounded ddintx049 tointegralx -1.6 -> -2 Inexact Rounded ddintx050 tointegralx -1.7 -> -2 Inexact Rounded ddintx051 tointegralx -1.8 -> -2 Inexact Rounded ddintx052 tointegralx -1.9 -> -2 Inexact Rounded -- next two would be NaN using quantize(x, 0) ddintx053 tointegralx 10E+60 -> 1.0E+61 ddintx054 tointegralx -10E+60 -> -1.0E+61 -- numbers around precision ddintx060 tointegralx '56267E-17' -> '0' Inexact Rounded ddintx061 tointegralx '56267E-5' -> '1' Inexact Rounded ddintx062 tointegralx '56267E-2' -> '563' Inexact Rounded ddintx063 tointegralx '56267E-1' -> '5627' Inexact Rounded ddintx065 tointegralx '56267E-0' -> '56267' ddintx066 tointegralx '56267E+0' -> '56267' ddintx067 tointegralx '56267E+1' -> '5.6267E+5' ddintx068 tointegralx '56267E+9' -> '5.6267E+13' ddintx069 tointegralx '56267E+10' -> '5.6267E+14' ddintx070 tointegralx '56267E+11' -> '5.6267E+15' ddintx071 tointegralx '56267E+12' -> '5.6267E+16' ddintx072 tointegralx '56267E+13' -> '5.6267E+17' ddintx073 tointegralx '1.23E+96' -> '1.23E+96' ddintx074 tointegralx '1.23E+384' -> #47fd300000000000 Clamped ddintx080 tointegralx '-56267E-10' -> '-0' Inexact Rounded ddintx081 tointegralx '-56267E-5' -> '-1' Inexact Rounded ddintx082 tointegralx '-56267E-2' -> '-563' Inexact Rounded ddintx083 tointegralx '-56267E-1' -> '-5627' Inexact Rounded ddintx085 tointegralx '-56267E-0' -> '-56267' ddintx086 tointegralx '-56267E+0' -> '-56267' ddintx087 tointegralx '-56267E+1' -> '-5.6267E+5' ddintx088 tointegralx '-56267E+9' -> '-5.6267E+13' ddintx089 tointegralx '-56267E+10' -> '-5.6267E+14' ddintx090 tointegralx '-56267E+11' -> '-5.6267E+15' ddintx091 tointegralx '-56267E+12' -> '-5.6267E+16' ddintx092 tointegralx '-56267E+13' -> '-5.6267E+17' ddintx093 tointegralx '-1.23E+96' -> '-1.23E+96' ddintx094 tointegralx '-1.23E+384' -> #c7fd300000000000 Clamped -- subnormal inputs ddintx100 tointegralx 1E-299 -> 0 Inexact Rounded ddintx101 tointegralx 0.1E-299 -> 0 Inexact Rounded ddintx102 tointegralx 0.01E-299 -> 0 Inexact Rounded ddintx103 tointegralx 0E-299 -> 0 -- specials and zeros ddintx120 tointegralx 'Inf' -> Infinity ddintx121 tointegralx '-Inf' -> -Infinity ddintx122 tointegralx NaN -> NaN ddintx123 tointegralx sNaN -> NaN Invalid_operation ddintx124 tointegralx 0 -> 0 ddintx125 tointegralx -0 -> -0 ddintx126 tointegralx 0.000 -> 0 ddintx127 tointegralx 0.00 -> 0 ddintx128 tointegralx 0.0 -> 0 ddintx129 tointegralx 0 -> 0 ddintx130 tointegralx 0E-3 -> 0 ddintx131 tointegralx 0E-2 -> 0 ddintx132 tointegralx 0E-1 -> 0 ddintx133 tointegralx 0E-0 -> 0 ddintx134 tointegralx 0E+1 -> 0E+1 ddintx135 tointegralx 0E+2 -> 0E+2 ddintx136 tointegralx 0E+3 -> 0E+3 ddintx137 tointegralx 0E+4 -> 0E+4 ddintx138 tointegralx 0E+5 -> 0E+5 ddintx139 tointegralx -0.000 -> -0 ddintx140 tointegralx -0.00 -> -0 ddintx141 tointegralx -0.0 -> -0 ddintx142 tointegralx -0 -> -0 ddintx143 tointegralx -0E-3 -> -0 ddintx144 tointegralx -0E-2 -> -0 ddintx145 tointegralx -0E-1 -> -0 ddintx146 tointegralx -0E-0 -> -0 ddintx147 tointegralx -0E+1 -> -0E+1 ddintx148 tointegralx -0E+2 -> -0E+2 ddintx149 tointegralx -0E+3 -> -0E+3 ddintx150 tointegralx -0E+4 -> -0E+4 ddintx151 tointegralx -0E+5 -> -0E+5 -- propagating NaNs ddintx152 tointegralx NaN808 -> NaN808 ddintx153 tointegralx sNaN080 -> NaN80 Invalid_operation ddintx154 tointegralx -NaN808 -> -NaN808 ddintx155 tointegralx -sNaN080 -> -NaN80 Invalid_operation ddintx156 tointegralx -NaN -> -NaN ddintx157 tointegralx -sNaN -> -NaN Invalid_operation -- examples rounding: half_up ddintx200 tointegralx 2.1 -> 2 Inexact Rounded ddintx201 tointegralx 100 -> 100 ddintx202 tointegralx 100.0 -> 100 Rounded ddintx203 tointegralx 101.5 -> 102 Inexact Rounded ddintx204 tointegralx -101.5 -> -102 Inexact Rounded ddintx205 tointegralx 10E+5 -> 1.0E+6 ddintx206 tointegralx 7.89E+77 -> 7.89E+77 ddintx207 tointegralx -Inf -> -Infinity -- all rounding modes rounding: half_even ddintx210 tointegralx 55.5 -> 56 Inexact Rounded ddintx211 tointegralx 56.5 -> 56 Inexact Rounded ddintx212 tointegralx 57.5 -> 58 Inexact Rounded ddintx213 tointegralx -55.5 -> -56 Inexact Rounded ddintx214 tointegralx -56.5 -> -56 Inexact Rounded ddintx215 tointegralx -57.5 -> -58 Inexact Rounded rounding: half_up ddintx220 tointegralx 55.5 -> 56 Inexact Rounded ddintx221 tointegralx 56.5 -> 57 Inexact Rounded ddintx222 tointegralx 57.5 -> 58 Inexact Rounded ddintx223 tointegralx -55.5 -> -56 Inexact Rounded ddintx224 tointegralx -56.5 -> -57 Inexact Rounded ddintx225 tointegralx -57.5 -> -58 Inexact Rounded rounding: half_down ddintx230 tointegralx 55.5 -> 55 Inexact Rounded ddintx231 tointegralx 56.5 -> 56 Inexact Rounded ddintx232 tointegralx 57.5 -> 57 Inexact Rounded ddintx233 tointegralx -55.5 -> -55 Inexact Rounded ddintx234 tointegralx -56.5 -> -56 Inexact Rounded ddintx235 tointegralx -57.5 -> -57 Inexact Rounded rounding: up ddintx240 tointegralx 55.3 -> 56 Inexact Rounded ddintx241 tointegralx 56.3 -> 57 Inexact Rounded ddintx242 tointegralx 57.3 -> 58 Inexact Rounded ddintx243 tointegralx -55.3 -> -56 Inexact Rounded ddintx244 tointegralx -56.3 -> -57 Inexact Rounded ddintx245 tointegralx -57.3 -> -58 Inexact Rounded rounding: down ddintx250 tointegralx 55.7 -> 55 Inexact Rounded ddintx251 tointegralx 56.7 -> 56 Inexact Rounded ddintx252 tointegralx 57.7 -> 57 Inexact Rounded ddintx253 tointegralx -55.7 -> -55 Inexact Rounded ddintx254 tointegralx -56.7 -> -56 Inexact Rounded ddintx255 tointegralx -57.7 -> -57 Inexact Rounded rounding: ceiling ddintx260 tointegralx 55.3 -> 56 Inexact Rounded ddintx261 tointegralx 56.3 -> 57 Inexact Rounded ddintx262 tointegralx 57.3 -> 58 Inexact Rounded ddintx263 tointegralx -55.3 -> -55 Inexact Rounded ddintx264 tointegralx -56.3 -> -56 Inexact Rounded ddintx265 tointegralx -57.3 -> -57 Inexact Rounded rounding: floor ddintx270 tointegralx 55.7 -> 55 Inexact Rounded ddintx271 tointegralx 56.7 -> 56 Inexact Rounded ddintx272 tointegralx 57.7 -> 57 Inexact Rounded ddintx273 tointegralx -55.7 -> -56 Inexact Rounded ddintx274 tointegralx -56.7 -> -57 Inexact Rounded ddintx275 tointegralx -57.7 -> -58 Inexact Rounded -- Int and uInt32 edge values for testing conversions ddintx300 tointegralx -2147483646 -> -2147483646 ddintx301 tointegralx -2147483647 -> -2147483647 ddintx302 tointegralx -2147483648 -> -2147483648 ddintx303 tointegralx -2147483649 -> -2147483649 ddintx304 tointegralx 2147483646 -> 2147483646 ddintx305 tointegralx 2147483647 -> 2147483647 ddintx306 tointegralx 2147483648 -> 2147483648 ddintx307 tointegralx 2147483649 -> 2147483649 ddintx308 tointegralx 4294967294 -> 4294967294 ddintx309 tointegralx 4294967295 -> 4294967295 ddintx310 tointegralx 4294967296 -> 4294967296 ddintx311 tointegralx 4294967297 -> 4294967297
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