diff options
Diffstat (limited to 'lib/python2.7/test/decimaltestdata/ddAdd.decTest')
| -rw-r--r-- | lib/python2.7/test/decimaltestdata/ddAdd.decTest | 1328 |
1 files changed, 1328 insertions, 0 deletions
diff --git a/lib/python2.7/test/decimaltestdata/ddAdd.decTest b/lib/python2.7/test/decimaltestdata/ddAdd.decTest new file mode 100644 index 0000000..0f12ce4 --- /dev/null +++ b/lib/python2.7/test/decimaltestdata/ddAdd.decTest @@ -0,0 +1,1328 @@ +------------------------------------------------------------------------ +-- ddAdd.decTest -- decDouble addition -- +-- Copyright (c) IBM Corporation, 1981, 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 are for decDoubles only; all arguments are +-- representable in a decDouble +precision: 16 +maxExponent: 384 +minExponent: -383 +extended: 1 +clamp: 1 +rounding: half_even + +-- [first group are 'quick confidence check'] +ddadd001 add 1 1 -> 2 +ddadd002 add 2 3 -> 5 +ddadd003 add '5.75' '3.3' -> 9.05 +ddadd004 add '5' '-3' -> 2 +ddadd005 add '-5' '-3' -> -8 +ddadd006 add '-7' '2.5' -> -4.5 +ddadd007 add '0.7' '0.3' -> 1.0 +ddadd008 add '1.25' '1.25' -> 2.50 +ddadd009 add '1.23456789' '1.00000000' -> '2.23456789' +ddadd010 add '1.23456789' '1.00000011' -> '2.23456800' + +-- 1234567890123456 1234567890123456 +ddadd011 add '0.4444444444444446' '0.5555555555555555' -> '1.000000000000000' Inexact Rounded +ddadd012 add '0.4444444444444445' '0.5555555555555555' -> '1.000000000000000' Rounded +ddadd013 add '0.4444444444444444' '0.5555555555555555' -> '0.9999999999999999' +ddadd014 add '4444444444444444' '0.49' -> '4444444444444444' Inexact Rounded +ddadd015 add '4444444444444444' '0.499' -> '4444444444444444' Inexact Rounded +ddadd016 add '4444444444444444' '0.4999' -> '4444444444444444' Inexact Rounded +ddadd017 add '4444444444444444' '0.5000' -> '4444444444444444' Inexact Rounded +ddadd018 add '4444444444444444' '0.5001' -> '4444444444444445' Inexact Rounded +ddadd019 add '4444444444444444' '0.501' -> '4444444444444445' Inexact Rounded +ddadd020 add '4444444444444444' '0.51' -> '4444444444444445' Inexact Rounded + +ddadd021 add 0 1 -> 1 +ddadd022 add 1 1 -> 2 +ddadd023 add 2 1 -> 3 +ddadd024 add 3 1 -> 4 +ddadd025 add 4 1 -> 5 +ddadd026 add 5 1 -> 6 +ddadd027 add 6 1 -> 7 +ddadd028 add 7 1 -> 8 +ddadd029 add 8 1 -> 9 +ddadd030 add 9 1 -> 10 + +-- some carrying effects +ddadd031 add '0.9998' '0.0000' -> '0.9998' +ddadd032 add '0.9998' '0.0001' -> '0.9999' +ddadd033 add '0.9998' '0.0002' -> '1.0000' +ddadd034 add '0.9998' '0.0003' -> '1.0001' + +ddadd035 add '70' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded +ddadd036 add '700' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded +ddadd037 add '7000' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded +ddadd038 add '70000' '10000e+16' -> '1.000000000000001E+20' Inexact Rounded +ddadd039 add '700000' '10000e+16' -> '1.000000000000007E+20' Rounded + +-- symmetry: +ddadd040 add '10000e+16' '70' -> '1.000000000000000E+20' Inexact Rounded +ddadd041 add '10000e+16' '700' -> '1.000000000000000E+20' Inexact Rounded +ddadd042 add '10000e+16' '7000' -> '1.000000000000000E+20' Inexact Rounded +ddadd044 add '10000e+16' '70000' -> '1.000000000000001E+20' Inexact Rounded +ddadd045 add '10000e+16' '700000' -> '1.000000000000007E+20' Rounded + +-- same, without rounding +ddadd046 add '10000e+9' '7' -> '10000000000007' +ddadd047 add '10000e+9' '70' -> '10000000000070' +ddadd048 add '10000e+9' '700' -> '10000000000700' +ddadd049 add '10000e+9' '7000' -> '10000000007000' +ddadd050 add '10000e+9' '70000' -> '10000000070000' +ddadd051 add '10000e+9' '700000' -> '10000000700000' +ddadd052 add '10000e+9' '7000000' -> '10000007000000' + +-- examples from decarith +ddadd053 add '12' '7.00' -> '19.00' +ddadd054 add '1.3' '-1.07' -> '0.23' +ddadd055 add '1.3' '-1.30' -> '0.00' +ddadd056 add '1.3' '-2.07' -> '-0.77' +ddadd057 add '1E+2' '1E+4' -> '1.01E+4' + +-- leading zero preservation +ddadd061 add 1 '0.0001' -> '1.0001' +ddadd062 add 1 '0.00001' -> '1.00001' +ddadd063 add 1 '0.000001' -> '1.000001' +ddadd064 add 1 '0.0000001' -> '1.0000001' +ddadd065 add 1 '0.00000001' -> '1.00000001' + +-- some funny zeros [in case of bad signum] +ddadd070 add 1 0 -> 1 +ddadd071 add 1 0. -> 1 +ddadd072 add 1 .0 -> 1.0 +ddadd073 add 1 0.0 -> 1.0 +ddadd074 add 1 0.00 -> 1.00 +ddadd075 add 0 1 -> 1 +ddadd076 add 0. 1 -> 1 +ddadd077 add .0 1 -> 1.0 +ddadd078 add 0.0 1 -> 1.0 +ddadd079 add 0.00 1 -> 1.00 + +-- some carries +ddadd080 add 999999998 1 -> 999999999 +ddadd081 add 999999999 1 -> 1000000000 +ddadd082 add 99999999 1 -> 100000000 +ddadd083 add 9999999 1 -> 10000000 +ddadd084 add 999999 1 -> 1000000 +ddadd085 add 99999 1 -> 100000 +ddadd086 add 9999 1 -> 10000 +ddadd087 add 999 1 -> 1000 +ddadd088 add 99 1 -> 100 +ddadd089 add 9 1 -> 10 + + +-- more LHS swaps +ddadd090 add '-56267E-10' 0 -> '-0.0000056267' +ddadd091 add '-56267E-6' 0 -> '-0.056267' +ddadd092 add '-56267E-5' 0 -> '-0.56267' +ddadd093 add '-56267E-4' 0 -> '-5.6267' +ddadd094 add '-56267E-3' 0 -> '-56.267' +ddadd095 add '-56267E-2' 0 -> '-562.67' +ddadd096 add '-56267E-1' 0 -> '-5626.7' +ddadd097 add '-56267E-0' 0 -> '-56267' +ddadd098 add '-5E-10' 0 -> '-5E-10' +ddadd099 add '-5E-7' 0 -> '-5E-7' +ddadd100 add '-5E-6' 0 -> '-0.000005' +ddadd101 add '-5E-5' 0 -> '-0.00005' +ddadd102 add '-5E-4' 0 -> '-0.0005' +ddadd103 add '-5E-1' 0 -> '-0.5' +ddadd104 add '-5E0' 0 -> '-5' +ddadd105 add '-5E1' 0 -> '-50' +ddadd106 add '-5E5' 0 -> '-500000' +ddadd107 add '-5E15' 0 -> '-5000000000000000' +ddadd108 add '-5E16' 0 -> '-5.000000000000000E+16' Rounded +ddadd109 add '-5E17' 0 -> '-5.000000000000000E+17' Rounded +ddadd110 add '-5E18' 0 -> '-5.000000000000000E+18' Rounded +ddadd111 add '-5E100' 0 -> '-5.000000000000000E+100' Rounded + +-- more RHS swaps +ddadd113 add 0 '-56267E-10' -> '-0.0000056267' +ddadd114 add 0 '-56267E-6' -> '-0.056267' +ddadd116 add 0 '-56267E-5' -> '-0.56267' +ddadd117 add 0 '-56267E-4' -> '-5.6267' +ddadd119 add 0 '-56267E-3' -> '-56.267' +ddadd120 add 0 '-56267E-2' -> '-562.67' +ddadd121 add 0 '-56267E-1' -> '-5626.7' +ddadd122 add 0 '-56267E-0' -> '-56267' +ddadd123 add 0 '-5E-10' -> '-5E-10' +ddadd124 add 0 '-5E-7' -> '-5E-7' +ddadd125 add 0 '-5E-6' -> '-0.000005' +ddadd126 add 0 '-5E-5' -> '-0.00005' +ddadd127 add 0 '-5E-4' -> '-0.0005' +ddadd128 add 0 '-5E-1' -> '-0.5' +ddadd129 add 0 '-5E0' -> '-5' +ddadd130 add 0 '-5E1' -> '-50' +ddadd131 add 0 '-5E5' -> '-500000' +ddadd132 add 0 '-5E15' -> '-5000000000000000' +ddadd133 add 0 '-5E16' -> '-5.000000000000000E+16' Rounded +ddadd134 add 0 '-5E17' -> '-5.000000000000000E+17' Rounded +ddadd135 add 0 '-5E18' -> '-5.000000000000000E+18' Rounded +ddadd136 add 0 '-5E100' -> '-5.000000000000000E+100' Rounded + +-- related +ddadd137 add 1 '0E-19' -> '1.000000000000000' Rounded +ddadd138 add -1 '0E-19' -> '-1.000000000000000' Rounded +ddadd139 add '0E-19' 1 -> '1.000000000000000' Rounded +ddadd140 add '0E-19' -1 -> '-1.000000000000000' Rounded +ddadd141 add 1E+11 0.0000 -> '100000000000.0000' +ddadd142 add 1E+11 0.00000 -> '100000000000.0000' Rounded +ddadd143 add 0.000 1E+12 -> '1000000000000.000' +ddadd144 add 0.0000 1E+12 -> '1000000000000.000' Rounded + +-- [some of the next group are really constructor tests] +ddadd146 add '00.0' 0 -> '0.0' +ddadd147 add '0.00' 0 -> '0.00' +ddadd148 add 0 '0.00' -> '0.00' +ddadd149 add 0 '00.0' -> '0.0' +ddadd150 add '00.0' '0.00' -> '0.00' +ddadd151 add '0.00' '00.0' -> '0.00' +ddadd152 add '3' '.3' -> '3.3' +ddadd153 add '3.' '.3' -> '3.3' +ddadd154 add '3.0' '.3' -> '3.3' +ddadd155 add '3.00' '.3' -> '3.30' +ddadd156 add '3' '3' -> '6' +ddadd157 add '3' '+3' -> '6' +ddadd158 add '3' '-3' -> '0' +ddadd159 add '0.3' '-0.3' -> '0.0' +ddadd160 add '0.03' '-0.03' -> '0.00' + +-- try borderline precision, with carries, etc. +ddadd161 add '1E+12' '-1' -> '999999999999' +ddadd162 add '1E+12' '1.11' -> '1000000000001.11' +ddadd163 add '1.11' '1E+12' -> '1000000000001.11' +ddadd164 add '-1' '1E+12' -> '999999999999' +ddadd165 add '7E+12' '-1' -> '6999999999999' +ddadd166 add '7E+12' '1.11' -> '7000000000001.11' +ddadd167 add '1.11' '7E+12' -> '7000000000001.11' +ddadd168 add '-1' '7E+12' -> '6999999999999' + +rounding: half_up +-- 1.234567890123456 1234567890123456 1 234567890123456 +ddadd170 add '4.444444444444444' '0.5555555555555567' -> '5.000000000000001' Inexact Rounded +ddadd171 add '4.444444444444444' '0.5555555555555566' -> '5.000000000000001' Inexact Rounded +ddadd172 add '4.444444444444444' '0.5555555555555565' -> '5.000000000000001' Inexact Rounded +ddadd173 add '4.444444444444444' '0.5555555555555564' -> '5.000000000000000' Inexact Rounded +ddadd174 add '4.444444444444444' '0.5555555555555553' -> '4.999999999999999' Inexact Rounded +ddadd175 add '4.444444444444444' '0.5555555555555552' -> '4.999999999999999' Inexact Rounded +ddadd176 add '4.444444444444444' '0.5555555555555551' -> '4.999999999999999' Inexact Rounded +ddadd177 add '4.444444444444444' '0.5555555555555550' -> '4.999999999999999' Rounded +ddadd178 add '4.444444444444444' '0.5555555555555545' -> '4.999999999999999' Inexact Rounded +ddadd179 add '4.444444444444444' '0.5555555555555544' -> '4.999999999999998' Inexact Rounded +ddadd180 add '4.444444444444444' '0.5555555555555543' -> '4.999999999999998' Inexact Rounded +ddadd181 add '4.444444444444444' '0.5555555555555542' -> '4.999999999999998' Inexact Rounded +ddadd182 add '4.444444444444444' '0.5555555555555541' -> '4.999999999999998' Inexact Rounded +ddadd183 add '4.444444444444444' '0.5555555555555540' -> '4.999999999999998' Rounded + +-- and some more, including residue effects and different roundings +rounding: half_up +ddadd200 add '1234560123456789' 0 -> '1234560123456789' +ddadd201 add '1234560123456789' 0.000000001 -> '1234560123456789' Inexact Rounded +ddadd202 add '1234560123456789' 0.000001 -> '1234560123456789' Inexact Rounded +ddadd203 add '1234560123456789' 0.1 -> '1234560123456789' Inexact Rounded +ddadd204 add '1234560123456789' 0.4 -> '1234560123456789' Inexact Rounded +ddadd205 add '1234560123456789' 0.49 -> '1234560123456789' Inexact Rounded +ddadd206 add '1234560123456789' 0.499999 -> '1234560123456789' Inexact Rounded +ddadd207 add '1234560123456789' 0.499999999 -> '1234560123456789' Inexact Rounded +ddadd208 add '1234560123456789' 0.5 -> '1234560123456790' Inexact Rounded +ddadd209 add '1234560123456789' 0.500000001 -> '1234560123456790' Inexact Rounded +ddadd210 add '1234560123456789' 0.500001 -> '1234560123456790' Inexact Rounded +ddadd211 add '1234560123456789' 0.51 -> '1234560123456790' Inexact Rounded +ddadd212 add '1234560123456789' 0.6 -> '1234560123456790' Inexact Rounded +ddadd213 add '1234560123456789' 0.9 -> '1234560123456790' Inexact Rounded +ddadd214 add '1234560123456789' 0.99999 -> '1234560123456790' Inexact Rounded +ddadd215 add '1234560123456789' 0.999999999 -> '1234560123456790' Inexact Rounded +ddadd216 add '1234560123456789' 1 -> '1234560123456790' +ddadd217 add '1234560123456789' 1.000000001 -> '1234560123456790' Inexact Rounded +ddadd218 add '1234560123456789' 1.00001 -> '1234560123456790' Inexact Rounded +ddadd219 add '1234560123456789' 1.1 -> '1234560123456790' Inexact Rounded + +rounding: half_even +ddadd220 add '1234560123456789' 0 -> '1234560123456789' +ddadd221 add '1234560123456789' 0.000000001 -> '1234560123456789' Inexact Rounded +ddadd222 add '1234560123456789' 0.000001 -> '1234560123456789' Inexact Rounded +ddadd223 add '1234560123456789' 0.1 -> '1234560123456789' Inexact Rounded +ddadd224 add '1234560123456789' 0.4 -> '1234560123456789' Inexact Rounded +ddadd225 add '1234560123456789' 0.49 -> '1234560123456789' Inexact Rounded +ddadd226 add '1234560123456789' 0.499999 -> '1234560123456789' Inexact Rounded +ddadd227 add '1234560123456789' 0.499999999 -> '1234560123456789' Inexact Rounded +ddadd228 add '1234560123456789' 0.5 -> '1234560123456790' Inexact Rounded +ddadd229 add '1234560123456789' 0.500000001 -> '1234560123456790' Inexact Rounded +ddadd230 add '1234560123456789' 0.500001 -> '1234560123456790' Inexact Rounded +ddadd231 add '1234560123456789' 0.51 -> '1234560123456790' Inexact Rounded +ddadd232 add '1234560123456789' 0.6 -> '1234560123456790' Inexact Rounded +ddadd233 add '1234560123456789' 0.9 -> '1234560123456790' Inexact Rounded +ddadd234 add '1234560123456789' 0.99999 -> '1234560123456790' Inexact Rounded +ddadd235 add '1234560123456789' 0.999999999 -> '1234560123456790' Inexact Rounded +ddadd236 add '1234560123456789' 1 -> '1234560123456790' +ddadd237 add '1234560123456789' 1.00000001 -> '1234560123456790' Inexact Rounded +ddadd238 add '1234560123456789' 1.00001 -> '1234560123456790' Inexact Rounded +ddadd239 add '1234560123456789' 1.1 -> '1234560123456790' Inexact Rounded +-- critical few with even bottom digit... +ddadd240 add '1234560123456788' 0.499999999 -> '1234560123456788' Inexact Rounded +ddadd241 add '1234560123456788' 0.5 -> '1234560123456788' Inexact Rounded +ddadd242 add '1234560123456788' 0.500000001 -> '1234560123456789' Inexact Rounded + +rounding: down +ddadd250 add '1234560123456789' 0 -> '1234560123456789' +ddadd251 add '1234560123456789' 0.000000001 -> '1234560123456789' Inexact Rounded +ddadd252 add '1234560123456789' 0.000001 -> '1234560123456789' Inexact Rounded +ddadd253 add '1234560123456789' 0.1 -> '1234560123456789' Inexact Rounded +ddadd254 add '1234560123456789' 0.4 -> '1234560123456789' Inexact Rounded +ddadd255 add '1234560123456789' 0.49 -> '1234560123456789' Inexact Rounded +ddadd256 add '1234560123456789' 0.499999 -> '1234560123456789' Inexact Rounded +ddadd257 add '1234560123456789' 0.499999999 -> '1234560123456789' Inexact Rounded +ddadd258 add '1234560123456789' 0.5 -> '1234560123456789' Inexact Rounded +ddadd259 add '1234560123456789' 0.500000001 -> '1234560123456789' Inexact Rounded +ddadd260 add '1234560123456789' 0.500001 -> '1234560123456789' Inexact Rounded +ddadd261 add '1234560123456789' 0.51 -> '1234560123456789' Inexact Rounded +ddadd262 add '1234560123456789' 0.6 -> '1234560123456789' Inexact Rounded +ddadd263 add '1234560123456789' 0.9 -> '1234560123456789' Inexact Rounded +ddadd264 add '1234560123456789' 0.99999 -> '1234560123456789' Inexact Rounded +ddadd265 add '1234560123456789' 0.999999999 -> '1234560123456789' Inexact Rounded +ddadd266 add '1234560123456789' 1 -> '1234560123456790' +ddadd267 add '1234560123456789' 1.00000001 -> '1234560123456790' Inexact Rounded +ddadd268 add '1234560123456789' 1.00001 -> '1234560123456790' Inexact Rounded +ddadd269 add '1234560123456789' 1.1 -> '1234560123456790' Inexact Rounded + +-- 1 in last place tests +rounding: half_up +ddadd301 add -1 1 -> 0 +ddadd302 add 0 1 -> 1 +ddadd303 add 1 1 -> 2 +ddadd304 add 12 1 -> 13 +ddadd305 add 98 1 -> 99 +ddadd306 add 99 1 -> 100 +ddadd307 add 100 1 -> 101 +ddadd308 add 101 1 -> 102 +ddadd309 add -1 -1 -> -2 +ddadd310 add 0 -1 -> -1 +ddadd311 add 1 -1 -> 0 +ddadd312 add 12 -1 -> 11 +ddadd313 add 98 -1 -> 97 +ddadd314 add 99 -1 -> 98 +ddadd315 add 100 -1 -> 99 +ddadd316 add 101 -1 -> 100 + +ddadd321 add -0.01 0.01 -> 0.00 +ddadd322 add 0.00 0.01 -> 0.01 +ddadd323 add 0.01 0.01 -> 0.02 +ddadd324 add 0.12 0.01 -> 0.13 +ddadd325 add 0.98 0.01 -> 0.99 +ddadd326 add 0.99 0.01 -> 1.00 +ddadd327 add 1.00 0.01 -> 1.01 +ddadd328 add 1.01 0.01 -> 1.02 +ddadd329 add -0.01 -0.01 -> -0.02 +ddadd330 add 0.00 -0.01 -> -0.01 +ddadd331 add 0.01 -0.01 -> 0.00 +ddadd332 add 0.12 -0.01 -> 0.11 +ddadd333 add 0.98 -0.01 -> 0.97 +ddadd334 add 0.99 -0.01 -> 0.98 +ddadd335 add 1.00 -0.01 -> 0.99 +ddadd336 add 1.01 -0.01 -> 1.00 + +-- some more cases where adding 0 affects the coefficient +ddadd340 add 1E+3 0 -> 1000 +ddadd341 add 1E+15 0 -> 1000000000000000 +ddadd342 add 1E+16 0 -> 1.000000000000000E+16 Rounded +ddadd343 add 1E+20 0 -> 1.000000000000000E+20 Rounded +-- which simply follow from these cases ... +ddadd344 add 1E+3 1 -> 1001 +ddadd345 add 1E+15 1 -> 1000000000000001 +ddadd346 add 1E+16 1 -> 1.000000000000000E+16 Inexact Rounded +ddadd347 add 1E+20 1 -> 1.000000000000000E+20 Inexact Rounded +ddadd348 add 1E+3 7 -> 1007 +ddadd349 add 1E+15 7 -> 1000000000000007 +ddadd350 add 1E+16 7 -> 1.000000000000001E+16 Inexact Rounded +ddadd351 add 1E+20 7 -> 1.000000000000000E+20 Inexact Rounded + +-- tryzeros cases +rounding: half_up +ddadd360 add 0E+50 10000E+1 -> 1.0000E+5 +ddadd361 add 0E-50 10000E+1 -> 100000.0000000000 Rounded +ddadd362 add 10000E+1 0E-50 -> 100000.0000000000 Rounded +ddadd363 add 10000E+1 10000E-50 -> 100000.0000000000 Rounded Inexact +ddadd364 add 9.999999999999999E+384 -9.999999999999999E+384 -> 0E+369 + +-- a curiosity from JSR 13 testing +rounding: half_down +ddadd370 add 999999999999999 815 -> 1000000000000814 +ddadd371 add 9999999999999999 815 -> 1.000000000000081E+16 Rounded Inexact +rounding: half_up +ddadd372 add 999999999999999 815 -> 1000000000000814 +ddadd373 add 9999999999999999 815 -> 1.000000000000081E+16 Rounded Inexact +rounding: half_even +ddadd374 add 999999999999999 815 -> 1000000000000814 +ddadd375 add 9999999999999999 815 -> 1.000000000000081E+16 Rounded Inexact + +-- operands folded +ddadd380 add 1E+384 1E+384 -> 2.000000000000000E+384 Clamped +ddadd381 add 1E+380 1E+380 -> 2.00000000000E+380 Clamped +ddadd382 add 1E+376 1E+376 -> 2.0000000E+376 Clamped +ddadd383 add 1E+372 1E+372 -> 2.000E+372 Clamped +ddadd384 add 1E+370 1E+370 -> 2.0E+370 Clamped +ddadd385 add 1E+369 1E+369 -> 2E+369 +ddadd386 add 1E+368 1E+368 -> 2E+368 + +-- ulp replacement tests +ddadd400 add 1 77e-14 -> 1.00000000000077 +ddadd401 add 1 77e-15 -> 1.000000000000077 +ddadd402 add 1 77e-16 -> 1.000000000000008 Inexact Rounded +ddadd403 add 1 77e-17 -> 1.000000000000001 Inexact Rounded +ddadd404 add 1 77e-18 -> 1.000000000000000 Inexact Rounded +ddadd405 add 1 77e-19 -> 1.000000000000000 Inexact Rounded +ddadd406 add 1 77e-299 -> 1.000000000000000 Inexact Rounded + +ddadd410 add 10 77e-14 -> 10.00000000000077 +ddadd411 add 10 77e-15 -> 10.00000000000008 Inexact Rounded +ddadd412 add 10 77e-16 -> 10.00000000000001 Inexact Rounded +ddadd413 add 10 77e-17 -> 10.00000000000000 Inexact Rounded +ddadd414 add 10 77e-18 -> 10.00000000000000 Inexact Rounded +ddadd415 add 10 77e-19 -> 10.00000000000000 Inexact Rounded +ddadd416 add 10 77e-299 -> 10.00000000000000 Inexact Rounded + +ddadd420 add 77e-14 1 -> 1.00000000000077 +ddadd421 add 77e-15 1 -> 1.000000000000077 +ddadd422 add 77e-16 1 -> 1.000000000000008 Inexact Rounded +ddadd423 add 77e-17 1 -> 1.000000000000001 Inexact Rounded +ddadd424 add 77e-18 1 -> 1.000000000000000 Inexact Rounded +ddadd425 add 77e-19 1 -> 1.000000000000000 Inexact Rounded +ddadd426 add 77e-299 1 -> 1.000000000000000 Inexact Rounded + +ddadd430 add 77e-14 10 -> 10.00000000000077 +ddadd431 add 77e-15 10 -> 10.00000000000008 Inexact Rounded +ddadd432 add 77e-16 10 -> 10.00000000000001 Inexact Rounded +ddadd433 add 77e-17 10 -> 10.00000000000000 Inexact Rounded +ddadd434 add 77e-18 10 -> 10.00000000000000 Inexact Rounded +ddadd435 add 77e-19 10 -> 10.00000000000000 Inexact Rounded +ddadd436 add 77e-299 10 -> 10.00000000000000 Inexact Rounded + +-- fastpath boundary (more in dqadd) +-- 1234567890123456 +ddadd539 add '4444444444444444' '3333333333333333' -> '7777777777777777' +ddadd540 add '4444444444444444' '4444444444444444' -> '8888888888888888' +ddadd541 add '4444444444444444' '5555555555555555' -> '9999999999999999' +ddadd542 add '3333333333333333' '4444444444444444' -> '7777777777777777' +ddadd543 add '4444444444444444' '4444444444444444' -> '8888888888888888' +ddadd544 add '5555555555555555' '4444444444444444' -> '9999999999999999' +ddadd545 add '3000004000000000' '3000000000000040' -> '6000004000000040' +ddadd546 add '3000000400000000' '4000000000000400' -> '7000000400000400' +ddadd547 add '3000000040000000' '5000000000004000' -> '8000000040004000' +ddadd548 add '4000000004000000' '3000000000040000' -> '7000000004040000' +ddadd549 add '4000000000400000' '4000000000400000' -> '8000000000800000' +ddadd550 add '4000000000040000' '5000000004000000' -> '9000000004040000' +ddadd551 add '5000000000004000' '3000000040000000' -> '8000000040004000' +ddadd552 add '5000000000000400' '4000000400000000' -> '9000000400000400' +ddadd553 add '5000000000000040' '5000004000000000' -> 1.000000400000004E+16 Rounded +-- check propagation +ddadd554 add '8999999999999999' '0000000000000001' -> 9000000000000000 +ddadd555 add '0000000000000001' '8999999999999999' -> 9000000000000000 +ddadd556 add '0999999999999999' '0000000000000001' -> 1000000000000000 +ddadd557 add '0000000000000001' '0999999999999999' -> 1000000000000000 +ddadd558 add '4444444444444444' '4555555555555556' -> 9000000000000000 +ddadd559 add '4555555555555556' '4444444444444444' -> 9000000000000000 + +-- negative ulps +ddadd6440 add 1 -77e-14 -> 0.99999999999923 +ddadd6441 add 1 -77e-15 -> 0.999999999999923 +ddadd6442 add 1 -77e-16 -> 0.9999999999999923 +ddadd6443 add 1 -77e-17 -> 0.9999999999999992 Inexact Rounded +ddadd6444 add 1 -77e-18 -> 0.9999999999999999 Inexact Rounded +ddadd6445 add 1 -77e-19 -> 1.000000000000000 Inexact Rounded +ddadd6446 add 1 -77e-99 -> 1.000000000000000 Inexact Rounded + +ddadd6450 add 10 -77e-14 -> 9.99999999999923 +ddadd6451 add 10 -77e-15 -> 9.999999999999923 +ddadd6452 add 10 -77e-16 -> 9.999999999999992 Inexact Rounded +ddadd6453 add 10 -77e-17 -> 9.999999999999999 Inexact Rounded +ddadd6454 add 10 -77e-18 -> 10.00000000000000 Inexact Rounded +ddadd6455 add 10 -77e-19 -> 10.00000000000000 Inexact Rounded +ddadd6456 add 10 -77e-99 -> 10.00000000000000 Inexact Rounded + +ddadd6460 add -77e-14 1 -> 0.99999999999923 +ddadd6461 add -77e-15 1 -> 0.999999999999923 +ddadd6462 add -77e-16 1 -> 0.9999999999999923 +ddadd6463 add -77e-17 1 -> 0.9999999999999992 Inexact Rounded +ddadd6464 add -77e-18 1 -> 0.9999999999999999 Inexact Rounded +ddadd6465 add -77e-19 1 -> 1.000000000000000 Inexact Rounded +ddadd6466 add -77e-99 1 -> 1.000000000000000 Inexact Rounded + +ddadd6470 add -77e-14 10 -> 9.99999999999923 +ddadd6471 add -77e-15 10 -> 9.999999999999923 +ddadd6472 add -77e-16 10 -> 9.999999999999992 Inexact Rounded +ddadd6473 add -77e-17 10 -> 9.999999999999999 Inexact Rounded +ddadd6474 add -77e-18 10 -> 10.00000000000000 Inexact Rounded +ddadd6475 add -77e-19 10 -> 10.00000000000000 Inexact Rounded +ddadd6476 add -77e-99 10 -> 10.00000000000000 Inexact Rounded + +-- negative ulps +ddadd6480 add -1 77e-14 -> -0.99999999999923 +ddadd6481 add -1 77e-15 -> -0.999999999999923 +ddadd6482 add -1 77e-16 -> -0.9999999999999923 +ddadd6483 add -1 77e-17 -> -0.9999999999999992 Inexact Rounded +ddadd6484 add -1 77e-18 -> -0.9999999999999999 Inexact Rounded +ddadd6485 add -1 77e-19 -> -1.000000000000000 Inexact Rounded +ddadd6486 add -1 77e-99 -> -1.000000000000000 Inexact Rounded + +ddadd6490 add -10 77e-14 -> -9.99999999999923 +ddadd6491 add -10 77e-15 -> -9.999999999999923 +ddadd6492 add -10 77e-16 -> -9.999999999999992 Inexact Rounded +ddadd6493 add -10 77e-17 -> -9.999999999999999 Inexact Rounded +ddadd6494 add -10 77e-18 -> -10.00000000000000 Inexact Rounded +ddadd6495 add -10 77e-19 -> -10.00000000000000 Inexact Rounded +ddadd6496 add -10 77e-99 -> -10.00000000000000 Inexact Rounded + +ddadd6500 add 77e-14 -1 -> -0.99999999999923 +ddadd6501 add 77e-15 -1 -> -0.999999999999923 +ddadd6502 add 77e-16 -1 -> -0.9999999999999923 +ddadd6503 add 77e-17 -1 -> -0.9999999999999992 Inexact Rounded +ddadd6504 add 77e-18 -1 -> -0.9999999999999999 Inexact Rounded +ddadd6505 add 77e-19 -1 -> -1.000000000000000 Inexact Rounded +ddadd6506 add 77e-99 -1 -> -1.000000000000000 Inexact Rounded + +ddadd6510 add 77e-14 -10 -> -9.99999999999923 +ddadd6511 add 77e-15 -10 -> -9.999999999999923 +ddadd6512 add 77e-16 -10 -> -9.999999999999992 Inexact Rounded +ddadd6513 add 77e-17 -10 -> -9.999999999999999 Inexact Rounded +ddadd6514 add 77e-18 -10 -> -10.00000000000000 Inexact Rounded +ddadd6515 add 77e-19 -10 -> -10.00000000000000 Inexact Rounded +ddadd6516 add 77e-99 -10 -> -10.00000000000000 Inexact Rounded + +-- and some more residue effects and different roundings +rounding: half_up +ddadd6540 add '6543210123456789' 0 -> '6543210123456789' +ddadd6541 add '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded +ddadd6542 add '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded +ddadd6543 add '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded +ddadd6544 add '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded +ddadd6545 add '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded +ddadd6546 add '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded +ddadd6547 add '6543210123456789' 0.499999999 -> '6543210123456789' Inexact Rounded +ddadd6548 add '6543210123456789' 0.5 -> '6543210123456790' Inexact Rounded +ddadd6549 add '6543210123456789' 0.500000001 -> '6543210123456790' Inexact Rounded +ddadd6550 add '6543210123456789' 0.500001 -> '6543210123456790' Inexact Rounded +ddadd6551 add '6543210123456789' 0.51 -> '6543210123456790' Inexact Rounded +ddadd6552 add '6543210123456789' 0.6 -> '6543210123456790' Inexact Rounded +ddadd6553 add '6543210123456789' 0.9 -> '6543210123456790' Inexact Rounded +ddadd6554 add '6543210123456789' 0.99999 -> '6543210123456790' Inexact Rounded +ddadd6555 add '6543210123456789' 0.999999999 -> '6543210123456790' Inexact Rounded +ddadd6556 add '6543210123456789' 1 -> '6543210123456790' +ddadd6557 add '6543210123456789' 1.000000001 -> '6543210123456790' Inexact Rounded +ddadd6558 add '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded +ddadd6559 add '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded + +rounding: half_even +ddadd6560 add '6543210123456789' 0 -> '6543210123456789' +ddadd6561 add '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded +ddadd6562 add '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded +ddadd6563 add '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded +ddadd6564 add '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded +ddadd6565 add '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded +ddadd6566 add '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded +ddadd6567 add '6543210123456789' 0.499999999 -> '6543210123456789' Inexact Rounded +ddadd6568 add '6543210123456789' 0.5 -> '6543210123456790' Inexact Rounded +ddadd6569 add '6543210123456789' 0.500000001 -> '6543210123456790' Inexact Rounded +ddadd6570 add '6543210123456789' 0.500001 -> '6543210123456790' Inexact Rounded +ddadd6571 add '6543210123456789' 0.51 -> '6543210123456790' Inexact Rounded +ddadd6572 add '6543210123456789' 0.6 -> '6543210123456790' Inexact Rounded +ddadd6573 add '6543210123456789' 0.9 -> '6543210123456790' Inexact Rounded +ddadd6574 add '6543210123456789' 0.99999 -> '6543210123456790' Inexact Rounded +ddadd6575 add '6543210123456789' 0.999999999 -> '6543210123456790' Inexact Rounded +ddadd6576 add '6543210123456789' 1 -> '6543210123456790' +ddadd6577 add '6543210123456789' 1.00000001 -> '6543210123456790' Inexact Rounded +ddadd6578 add '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded +ddadd6579 add '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded + +-- critical few with even bottom digit... +ddadd7540 add '6543210123456788' 0.499999999 -> '6543210123456788' Inexact Rounded +ddadd7541 add '6543210123456788' 0.5 -> '6543210123456788' Inexact Rounded +ddadd7542 add '6543210123456788' 0.500000001 -> '6543210123456789' Inexact Rounded + +rounding: down +ddadd7550 add '6543210123456789' 0 -> '6543210123456789' +ddadd7551 add '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded +ddadd7552 add '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded +ddadd7553 add '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded +ddadd7554 add '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded +ddadd7555 add '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded +ddadd7556 add '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded +ddadd7557 add '6543210123456789' 0.499999999 -> '6543210123456789' Inexact Rounded +ddadd7558 add '6543210123456789' 0.5 -> '6543210123456789' Inexact Rounded +ddadd7559 add '6543210123456789' 0.500000001 -> '6543210123456789' Inexact Rounded +ddadd7560 add '6543210123456789' 0.500001 -> '6543210123456789' Inexact Rounded +ddadd7561 add '6543210123456789' 0.51 -> '6543210123456789' Inexact Rounded +ddadd7562 add '6543210123456789' 0.6 -> '6543210123456789' Inexact Rounded +ddadd7563 add '6543210123456789' 0.9 -> '6543210123456789' Inexact Rounded +ddadd7564 add '6543210123456789' 0.99999 -> '6543210123456789' Inexact Rounded +ddadd7565 add '6543210123456789' 0.999999999 -> '6543210123456789' Inexact Rounded +ddadd7566 add '6543210123456789' 1 -> '6543210123456790' +ddadd7567 add '6543210123456789' 1.00000001 -> '6543210123456790' Inexact Rounded +ddadd7568 add '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded +ddadd7569 add '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded + +-- verify a query +rounding: down +ddadd7661 add 1e-398 9.000000000000000E+384 -> 9.000000000000000E+384 Inexact Rounded +ddadd7662 add 0 9.000000000000000E+384 -> 9.000000000000000E+384 Rounded +ddadd7663 add 1e-388 9.000000000000000E+374 -> 9.000000000000000E+374 Inexact Rounded +ddadd7664 add 0 9.000000000000000E+374 -> 9.000000000000000E+374 Rounded + +-- more zeros, etc. +rounding: half_even + +ddadd7701 add 5.00 1.00E-3 -> 5.00100 +ddadd7702 add 00.00 0.000 -> 0.000 +ddadd7703 add 00.00 0E-3 -> 0.000 +ddadd7704 add 0E-3 00.00 -> 0.000 + +ddadd7710 add 0E+3 00.00 -> 0.00 +ddadd7711 add 0E+3 00.0 -> 0.0 +ddadd7712 add 0E+3 00. -> 0 +ddadd7713 add 0E+3 00.E+1 -> 0E+1 +ddadd7714 add 0E+3 00.E+2 -> 0E+2 +ddadd7715 add 0E+3 00.E+3 -> 0E+3 +ddadd7716 add 0E+3 00.E+4 -> 0E+3 +ddadd7717 add 0E+3 00.E+5 -> 0E+3 +ddadd7718 add 0E+3 -00.0 -> 0.0 +ddadd7719 add 0E+3 -00. -> 0 +ddadd7731 add 0E+3 -00.E+1 -> 0E+1 + +ddadd7720 add 00.00 0E+3 -> 0.00 +ddadd7721 add 00.0 0E+3 -> 0.0 +ddadd7722 add 00. 0E+3 -> 0 +ddadd7723 add 00.E+1 0E+3 -> 0E+1 +ddadd7724 add 00.E+2 0E+3 -> 0E+2 +ddadd7725 add 00.E+3 0E+3 -> 0E+3 +ddadd7726 add 00.E+4 0E+3 -> 0E+3 +ddadd7727 add 00.E+5 0E+3 -> 0E+3 +ddadd7728 add -00.00 0E+3 -> 0.00 +ddadd7729 add -00.0 0E+3 -> 0.0 +ddadd7730 add -00. 0E+3 -> 0 + +ddadd7732 add 0 0 -> 0 +ddadd7733 add 0 -0 -> 0 +ddadd7734 add -0 0 -> 0 +ddadd7735 add -0 -0 -> -0 -- IEEE 854 special case + +ddadd7736 add 1 -1 -> 0 +ddadd7737 add -1 -1 -> -2 +ddadd7738 add 1 1 -> 2 +ddadd7739 add -1 1 -> 0 + +ddadd7741 add 0 -1 -> -1 +ddadd7742 add -0 -1 -> -1 +ddadd7743 add 0 1 -> 1 +ddadd7744 add -0 1 -> 1 +ddadd7745 add -1 0 -> -1 +ddadd7746 add -1 -0 -> -1 +ddadd7747 add 1 0 -> 1 +ddadd7748 add 1 -0 -> 1 + +ddadd7751 add 0.0 -1 -> -1.0 +ddadd7752 add -0.0 -1 -> -1.0 +ddadd7753 add 0.0 1 -> 1.0 +ddadd7754 add -0.0 1 -> 1.0 +ddadd7755 add -1.0 0 -> -1.0 +ddadd7756 add -1.0 -0 -> -1.0 +ddadd7757 add 1.0 0 -> 1.0 +ddadd7758 add 1.0 -0 -> 1.0 + +ddadd7761 add 0 -1.0 -> -1.0 +ddadd7762 add -0 -1.0 -> -1.0 +ddadd7763 add 0 1.0 -> 1.0 +ddadd7764 add -0 1.0 -> 1.0 +ddadd7765 add -1 0.0 -> -1.0 +ddadd7766 add -1 -0.0 -> -1.0 +ddadd7767 add 1 0.0 -> 1.0 +ddadd7768 add 1 -0.0 -> 1.0 + +ddadd7771 add 0.0 -1.0 -> -1.0 +ddadd7772 add -0.0 -1.0 -> -1.0 +ddadd7773 add 0.0 1.0 -> 1.0 +ddadd7774 add -0.0 1.0 -> 1.0 +ddadd7775 add -1.0 0.0 -> -1.0 +ddadd7776 add -1.0 -0.0 -> -1.0 +ddadd7777 add 1.0 0.0 -> 1.0 +ddadd7778 add 1.0 -0.0 -> 1.0 + +-- Specials +ddadd7780 add -Inf -Inf -> -Infinity +ddadd7781 add -Inf -1000 -> -Infinity +ddadd7782 add -Inf -1 -> -Infinity +ddadd7783 add -Inf -0 -> -Infinity +ddadd7784 add -Inf 0 -> -Infinity +ddadd7785 add -Inf 1 -> -Infinity +ddadd7786 add -Inf 1000 -> -Infinity +ddadd7787 add -1000 -Inf -> -Infinity +ddadd7788 add -Inf -Inf -> -Infinity +ddadd7789 add -1 -Inf -> -Infinity +ddadd7790 add -0 -Inf -> -Infinity +ddadd7791 add 0 -Inf -> -Infinity +ddadd7792 add 1 -Inf -> -Infinity +ddadd7793 add 1000 -Inf -> -Infinity +ddadd7794 add Inf -Inf -> NaN Invalid_operation + +ddadd7800 add Inf -Inf -> NaN Invalid_operation +ddadd7801 add Inf -1000 -> Infinity +ddadd7802 add Inf -1 -> Infinity +ddadd7803 add Inf -0 -> Infinity +ddadd7804 add Inf 0 -> Infinity +ddadd7805 add Inf 1 -> Infinity +ddadd7806 add Inf 1000 -> Infinity +ddadd7807 add Inf Inf -> Infinity +ddadd7808 add -1000 Inf -> Infinity +ddadd7809 add -Inf Inf -> NaN Invalid_operation +ddadd7810 add -1 Inf -> Infinity +ddadd7811 add -0 Inf -> Infinity +ddadd7812 add 0 Inf -> Infinity +ddadd7813 add 1 Inf -> Infinity +ddadd7814 add 1000 Inf -> Infinity +ddadd7815 add Inf Inf -> Infinity + +ddadd7821 add NaN -Inf -> NaN +ddadd7822 add NaN -1000 -> NaN +ddadd7823 add NaN -1 -> NaN +ddadd7824 add NaN -0 -> NaN +ddadd7825 add NaN 0 -> NaN +ddadd7826 add NaN 1 -> NaN +ddadd7827 add NaN 1000 -> NaN +ddadd7828 add NaN Inf -> NaN +ddadd7829 add NaN NaN -> NaN +ddadd7830 add -Inf NaN -> NaN +ddadd7831 add -1000 NaN -> NaN +ddadd7832 add -1 NaN -> NaN +ddadd7833 add -0 NaN -> NaN +ddadd7834 add 0 NaN -> NaN +ddadd7835 add 1 NaN -> NaN +ddadd7836 add 1000 NaN -> NaN +ddadd7837 add Inf NaN -> NaN + +ddadd7841 add sNaN -Inf -> NaN Invalid_operation +ddadd7842 add sNaN -1000 -> NaN Invalid_operation +ddadd7843 add sNaN -1 -> NaN Invalid_operation +ddadd7844 add sNaN -0 -> NaN Invalid_operation +ddadd7845 add sNaN 0 -> NaN Invalid_operation +ddadd7846 add sNaN 1 -> NaN Invalid_operation +ddadd7847 add sNaN 1000 -> NaN Invalid_operation +ddadd7848 add sNaN NaN -> NaN Invalid_operation +ddadd7849 add sNaN sNaN -> NaN Invalid_operation +ddadd7850 add NaN sNaN -> NaN Invalid_operation +ddadd7851 add -Inf sNaN -> NaN Invalid_operation +ddadd7852 add -1000 sNaN -> NaN Invalid_operation +ddadd7853 add -1 sNaN -> NaN Invalid_operation +ddadd7854 add -0 sNaN -> NaN Invalid_operation +ddadd7855 add 0 sNaN -> NaN Invalid_operation +ddadd7856 add 1 sNaN -> NaN Invalid_operation +ddadd7857 add 1000 sNaN -> NaN Invalid_operation +ddadd7858 add Inf sNaN -> NaN Invalid_operation +ddadd7859 add NaN sNaN -> NaN Invalid_operation + +-- propagating NaNs +ddadd7861 add NaN1 -Inf -> NaN1 +ddadd7862 add +NaN2 -1000 -> NaN2 +ddadd7863 add NaN3 1000 -> NaN3 +ddadd7864 add NaN4 Inf -> NaN4 +ddadd7865 add NaN5 +NaN6 -> NaN5 +ddadd7866 add -Inf NaN7 -> NaN7 +ddadd7867 add -1000 NaN8 -> NaN8 +ddadd7868 add 1000 NaN9 -> NaN9 +ddadd7869 add Inf +NaN10 -> NaN10 +ddadd7871 add sNaN11 -Inf -> NaN11 Invalid_operation +ddadd7872 add sNaN12 -1000 -> NaN12 Invalid_operation +ddadd7873 add sNaN13 1000 -> NaN13 Invalid_operation +ddadd7874 add sNaN14 NaN17 -> NaN14 Invalid_operation +ddadd7875 add sNaN15 sNaN18 -> NaN15 Invalid_operation +ddadd7876 add NaN16 sNaN19 -> NaN19 Invalid_operation +ddadd7877 add -Inf +sNaN20 -> NaN20 Invalid_operation +ddadd7878 add -1000 sNaN21 -> NaN21 Invalid_operation +ddadd7879 add 1000 sNaN22 -> NaN22 Invalid_operation +ddadd7880 add Inf sNaN23 -> NaN23 Invalid_operation +ddadd7881 add +NaN25 +sNaN24 -> NaN24 Invalid_operation +ddadd7882 add -NaN26 NaN28 -> -NaN26 +ddadd7883 add -sNaN27 sNaN29 -> -NaN27 Invalid_operation +ddadd7884 add 1000 -NaN30 -> -NaN30 +ddadd7885 add 1000 -sNaN31 -> -NaN31 Invalid_operation + +-- Here we explore near the boundary of rounding a subnormal to Nmin +ddadd7575 add 1E-383 -1E-398 -> 9.99999999999999E-384 Subnormal +ddadd7576 add -1E-383 +1E-398 -> -9.99999999999999E-384 Subnormal + +-- and another curious case +ddadd7577 add 7.000000000000E-385 -1.00000E-391 -> 6.999999000000E-385 Subnormal + +-- check overflow edge case +-- 1234567890123456 +ddadd7972 apply 9.999999999999999E+384 -> 9.999999999999999E+384 +ddadd7973 add 9.999999999999999E+384 1 -> 9.999999999999999E+384 Inexact Rounded +ddadd7974 add 9999999999999999E+369 1 -> 9.999999999999999E+384 Inexact Rounded +ddadd7975 add 9999999999999999E+369 1E+369 -> Infinity Overflow Inexact Rounded +ddadd7976 add 9999999999999999E+369 9E+368 -> Infinity Overflow Inexact Rounded +ddadd7977 add 9999999999999999E+369 8E+368 -> Infinity Overflow Inexact Rounded +ddadd7978 add 9999999999999999E+369 7E+368 -> Infinity Overflow Inexact Rounded +ddadd7979 add 9999999999999999E+369 6E+368 -> Infinity Overflow Inexact Rounded +ddadd7980 add 9999999999999999E+369 5E+368 -> Infinity Overflow Inexact Rounded +ddadd7981 add 9999999999999999E+369 4E+368 -> 9.999999999999999E+384 Inexact Rounded +ddadd7982 add 9999999999999999E+369 3E+368 -> 9.999999999999999E+384 Inexact Rounded +ddadd7983 add 9999999999999999E+369 2E+368 -> 9.999999999999999E+384 Inexact Rounded +ddadd7984 add 9999999999999999E+369 1E+368 -> 9.999999999999999E+384 Inexact Rounded + +ddadd7985 apply -9.999999999999999E+384 -> -9.999999999999999E+384 +ddadd7986 add -9.999999999999999E+384 -1 -> -9.999999999999999E+384 Inexact Rounded +ddadd7987 add -9999999999999999E+369 -1 -> -9.999999999999999E+384 Inexact Rounded +ddadd7988 add -9999999999999999E+369 -1E+369 -> -Infinity Overflow Inexact Rounded +ddadd7989 add -9999999999999999E+369 -9E+368 -> -Infinity Overflow Inexact Rounded +ddadd7990 add -9999999999999999E+369 -8E+368 -> -Infinity Overflow Inexact Rounded +ddadd7991 add -9999999999999999E+369 -7E+368 -> -Infinity Overflow Inexact Rounded +ddadd7992 add -9999999999999999E+369 -6E+368 -> -Infinity Overflow Inexact Rounded +ddadd7993 add -9999999999999999E+369 -5E+368 -> -Infinity Overflow Inexact Rounded +ddadd7994 add -9999999999999999E+369 -4E+368 -> -9.999999999999999E+384 Inexact Rounded +ddadd7995 add -9999999999999999E+369 -3E+368 -> -9.999999999999999E+384 Inexact Rounded +ddadd7996 add -9999999999999999E+369 -2E+368 -> -9.999999999999999E+384 Inexact Rounded +ddadd7997 add -9999999999999999E+369 -1E+368 -> -9.999999999999999E+384 Inexact Rounded + +-- And for round down full and subnormal results +rounding: down +ddadd71100 add 1e+2 -1e-383 -> 99.99999999999999 Rounded Inexact +ddadd71101 add 1e+1 -1e-383 -> 9.999999999999999 Rounded Inexact +ddadd71103 add +1 -1e-383 -> 0.9999999999999999 Rounded Inexact +ddadd71104 add 1e-1 -1e-383 -> 0.09999999999999999 Rounded Inexact +ddadd71105 add 1e-2 -1e-383 -> 0.009999999999999999 Rounded Inexact +ddadd71106 add 1e-3 -1e-383 -> 0.0009999999999999999 Rounded Inexact +ddadd71107 add 1e-4 -1e-383 -> 0.00009999999999999999 Rounded Inexact +ddadd71108 add 1e-5 -1e-383 -> 0.000009999999999999999 Rounded Inexact +ddadd71109 add 1e-6 -1e-383 -> 9.999999999999999E-7 Rounded Inexact + +rounding: ceiling +ddadd71110 add -1e+2 +1e-383 -> -99.99999999999999 Rounded Inexact +ddadd71111 add -1e+1 +1e-383 -> -9.999999999999999 Rounded Inexact +ddadd71113 add -1 +1e-383 -> -0.9999999999999999 Rounded Inexact +ddadd71114 add -1e-1 +1e-383 -> -0.09999999999999999 Rounded Inexact +ddadd71115 add -1e-2 +1e-383 -> -0.009999999999999999 Rounded Inexact +ddadd71116 add -1e-3 +1e-383 -> -0.0009999999999999999 Rounded Inexact +ddadd71117 add -1e-4 +1e-383 -> -0.00009999999999999999 Rounded Inexact +ddadd71118 add -1e-5 +1e-383 -> -0.000009999999999999999 Rounded Inexact +ddadd71119 add -1e-6 +1e-383 -> -9.999999999999999E-7 Rounded Inexact + +-- tests based on Gunnar Degnbol's edge case +rounding: half_even + +ddadd71300 add 1E16 -0.5 -> 1.000000000000000E+16 Inexact Rounded +ddadd71310 add 1E16 -0.51 -> 9999999999999999 Inexact Rounded +ddadd71311 add 1E16 -0.501 -> 9999999999999999 Inexact Rounded +ddadd71312 add 1E16 -0.5001 -> 9999999999999999 Inexact Rounded +ddadd71313 add 1E16 -0.50001 -> 9999999999999999 Inexact Rounded +ddadd71314 add 1E16 -0.500001 -> 9999999999999999 Inexact Rounded +ddadd71315 add 1E16 -0.5000001 -> 9999999999999999 Inexact Rounded +ddadd71316 add 1E16 -0.50000001 -> 9999999999999999 Inexact Rounded +ddadd71317 add 1E16 -0.500000001 -> 9999999999999999 Inexact Rounded +ddadd71318 add 1E16 -0.5000000001 -> 9999999999999999 Inexact Rounded +ddadd71319 add 1E16 -0.50000000001 -> 9999999999999999 Inexact Rounded +ddadd71320 add 1E16 -0.500000000001 -> 9999999999999999 Inexact Rounded +ddadd71321 add 1E16 -0.5000000000001 -> 9999999999999999 Inexact Rounded +ddadd71322 add 1E16 -0.50000000000001 -> 9999999999999999 Inexact Rounded +ddadd71323 add 1E16 -0.500000000000001 -> 9999999999999999 Inexact Rounded +ddadd71324 add 1E16 -0.5000000000000001 -> 9999999999999999 Inexact Rounded +ddadd71325 add 1E16 -0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded +ddadd71326 add 1E16 -0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded +ddadd71327 add 1E16 -0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded +ddadd71328 add 1E16 -0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded +ddadd71329 add 1E16 -0.500000000000 -> 1.000000000000000E+16 Inexact Rounded +ddadd71330 add 1E16 -0.50000000000 -> 1.000000000000000E+16 Inexact Rounded +ddadd71331 add 1E16 -0.5000000000 -> 1.000000000000000E+16 Inexact Rounded +ddadd71332 add 1E16 -0.500000000 -> 1.000000000000000E+16 Inexact Rounded +ddadd71333 add 1E16 -0.50000000 -> 1.000000000000000E+16 Inexact Rounded +ddadd71334 add 1E16 -0.5000000 -> 1.000000000000000E+16 Inexact Rounded +ddadd71335 add 1E16 -0.500000 -> 1.000000000000000E+16 Inexact Rounded +ddadd71336 add 1E16 -0.50000 -> 1.000000000000000E+16 Inexact Rounded +ddadd71337 add 1E16 -0.5000 -> 1.000000000000000E+16 Inexact Rounded +ddadd71338 add 1E16 -0.500 -> 1.000000000000000E+16 Inexact Rounded +ddadd71339 add 1E16 -0.50 -> 1.000000000000000E+16 Inexact Rounded + +ddadd71340 add 1E16 -5000000.000010001 -> 9999999995000000 Inexact Rounded +ddadd71341 add 1E16 -5000000.000000001 -> 9999999995000000 Inexact Rounded + +ddadd71349 add 9999999999999999 0.4 -> 9999999999999999 Inexact Rounded +ddadd71350 add 9999999999999999 0.49 -> 9999999999999999 Inexact Rounded +ddadd71351 add 9999999999999999 0.499 -> 9999999999999999 Inexact Rounded +ddadd71352 add 9999999999999999 0.4999 -> 9999999999999999 Inexact Rounded +ddadd71353 add 9999999999999999 0.49999 -> 9999999999999999 Inexact Rounded +ddadd71354 add 9999999999999999 0.499999 -> 9999999999999999 Inexact Rounded +ddadd71355 add 9999999999999999 0.4999999 -> 9999999999999999 Inexact Rounded +ddadd71356 add 9999999999999999 0.49999999 -> 9999999999999999 Inexact Rounded +ddadd71357 add 9999999999999999 0.499999999 -> 9999999999999999 Inexact Rounded +ddadd71358 add 9999999999999999 0.4999999999 -> 9999999999999999 Inexact Rounded +ddadd71359 add 9999999999999999 0.49999999999 -> 9999999999999999 Inexact Rounded +ddadd71360 add 9999999999999999 0.499999999999 -> 9999999999999999 Inexact Rounded +ddadd71361 add 9999999999999999 0.4999999999999 -> 9999999999999999 Inexact Rounded +ddadd71362 add 9999999999999999 0.49999999999999 -> 9999999999999999 Inexact Rounded +ddadd71363 add 9999999999999999 0.499999999999999 -> 9999999999999999 Inexact Rounded +ddadd71364 add 9999999999999999 0.4999999999999999 -> 9999999999999999 Inexact Rounded +ddadd71365 add 9999999999999999 0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded +ddadd71367 add 9999999999999999 0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded +ddadd71368 add 9999999999999999 0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded +ddadd71369 add 9999999999999999 0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded +ddadd71370 add 9999999999999999 0.500000000000 -> 1.000000000000000E+16 Inexact Rounded +ddadd71371 add 9999999999999999 0.50000000000 -> 1.000000000000000E+16 Inexact Rounded +ddadd71372 add 9999999999999999 0.5000000000 -> 1.000000000000000E+16 Inexact Rounded +ddadd71373 add 9999999999999999 0.500000000 -> 1.000000000000000E+16 Inexact Rounded +ddadd71374 add 9999999999999999 0.50000000 -> 1.000000000000000E+16 Inexact Rounded +ddadd71375 add 9999999999999999 0.5000000 -> 1.000000000000000E+16 Inexact Rounded +ddadd71376 add 9999999999999999 0.500000 -> 1.000000000000000E+16 Inexact Rounded +ddadd71377 add 9999999999999999 0.50000 -> 1.000000000000000E+16 Inexact Rounded +ddadd71378 add 9999999999999999 0.5000 -> 1.000000000000000E+16 Inexact Rounded +ddadd71379 add 9999999999999999 0.500 -> 1.000000000000000E+16 Inexact Rounded +ddadd71380 add 9999999999999999 0.50 -> 1.000000000000000E+16 Inexact Rounded +ddadd71381 add 9999999999999999 0.5 -> 1.000000000000000E+16 Inexact Rounded +ddadd71382 add 9999999999999999 0.5000000000000001 -> 1.000000000000000E+16 Inexact Rounded +ddadd71383 add 9999999999999999 0.500000000000001 -> 1.000000000000000E+16 Inexact Rounded +ddadd71384 add 9999999999999999 0.50000000000001 -> 1.000000000000000E+16 Inexact Rounded +ddadd71385 add 9999999999999999 0.5000000000001 -> 1.000000000000000E+16 Inexact Rounded +ddadd71386 add 9999999999999999 0.500000000001 -> 1.000000000000000E+16 Inexact Rounded +ddadd71387 add 9999999999999999 0.50000000001 -> 1.000000000000000E+16 Inexact Rounded +ddadd71388 add 9999999999999999 0.5000000001 -> 1.000000000000000E+16 Inexact Rounded +ddadd71389 add 9999999999999999 0.500000001 -> 1.000000000000000E+16 Inexact Rounded +ddadd71390 add 9999999999999999 0.50000001 -> 1.000000000000000E+16 Inexact Rounded +ddadd71391 add 9999999999999999 0.5000001 -> 1.000000000000000E+16 Inexact Rounded +ddadd71392 add 9999999999999999 0.500001 -> 1.000000000000000E+16 Inexact Rounded +ddadd71393 add 9999999999999999 0.50001 -> 1.000000000000000E+16 Inexact Rounded +ddadd71394 add 9999999999999999 0.5001 -> 1.000000000000000E+16 Inexact Rounded +ddadd71395 add 9999999999999999 0.501 -> 1.000000000000000E+16 Inexact Rounded +ddadd71396 add 9999999999999999 0.51 -> 1.000000000000000E+16 Inexact Rounded + +-- More GD edge cases, where difference between the unadjusted +-- exponents is larger than the maximum precision and one side is 0 +ddadd71420 add 0 1.123456789012345 -> 1.123456789012345 +ddadd71421 add 0 1.123456789012345E-1 -> 0.1123456789012345 +ddadd71422 add 0 1.123456789012345E-2 -> 0.01123456789012345 +ddadd71423 add 0 1.123456789012345E-3 -> 0.001123456789012345 +ddadd71424 add 0 1.123456789012345E-4 -> 0.0001123456789012345 +ddadd71425 add 0 1.123456789012345E-5 -> 0.00001123456789012345 +ddadd71426 add 0 1.123456789012345E-6 -> 0.000001123456789012345 +ddadd71427 add 0 1.123456789012345E-7 -> 1.123456789012345E-7 +ddadd71428 add 0 1.123456789012345E-8 -> 1.123456789012345E-8 +ddadd71429 add 0 1.123456789012345E-9 -> 1.123456789012345E-9 +ddadd71430 add 0 1.123456789012345E-10 -> 1.123456789012345E-10 +ddadd71431 add 0 1.123456789012345E-11 -> 1.123456789012345E-11 +ddadd71432 add 0 1.123456789012345E-12 -> 1.123456789012345E-12 +ddadd71433 add 0 1.123456789012345E-13 -> 1.123456789012345E-13 +ddadd71434 add 0 1.123456789012345E-14 -> 1.123456789012345E-14 +ddadd71435 add 0 1.123456789012345E-15 -> 1.123456789012345E-15 +ddadd71436 add 0 1.123456789012345E-16 -> 1.123456789012345E-16 +ddadd71437 add 0 1.123456789012345E-17 -> 1.123456789012345E-17 +ddadd71438 add 0 1.123456789012345E-18 -> 1.123456789012345E-18 +ddadd71439 add 0 1.123456789012345E-19 -> 1.123456789012345E-19 + +-- same, reversed 0 +ddadd71440 add 1.123456789012345 0 -> 1.123456789012345 +ddadd71441 add 1.123456789012345E-1 0 -> 0.1123456789012345 +ddadd71442 add 1.123456789012345E-2 0 -> 0.01123456789012345 +ddadd71443 add 1.123456789012345E-3 0 -> 0.001123456789012345 +ddadd71444 add 1.123456789012345E-4 0 -> 0.0001123456789012345 +ddadd71445 add 1.123456789012345E-5 0 -> 0.00001123456789012345 +ddadd71446 add 1.123456789012345E-6 0 -> 0.000001123456789012345 +ddadd71447 add 1.123456789012345E-7 0 -> 1.123456789012345E-7 +ddadd71448 add 1.123456789012345E-8 0 -> 1.123456789012345E-8 +ddadd71449 add 1.123456789012345E-9 0 -> 1.123456789012345E-9 +ddadd71450 add 1.123456789012345E-10 0 -> 1.123456789012345E-10 +ddadd71451 add 1.123456789012345E-11 0 -> 1.123456789012345E-11 +ddadd71452 add 1.123456789012345E-12 0 -> 1.123456789012345E-12 +ddadd71453 add 1.123456789012345E-13 0 -> 1.123456789012345E-13 +ddadd71454 add 1.123456789012345E-14 0 -> 1.123456789012345E-14 +ddadd71455 add 1.123456789012345E-15 0 -> 1.123456789012345E-15 +ddadd71456 add 1.123456789012345E-16 0 -> 1.123456789012345E-16 +ddadd71457 add 1.123456789012345E-17 0 -> 1.123456789012345E-17 +ddadd71458 add 1.123456789012345E-18 0 -> 1.123456789012345E-18 +ddadd71459 add 1.123456789012345E-19 0 -> 1.123456789012345E-19 + +-- same, Es on the 0 +ddadd71460 add 1.123456789012345 0E-0 -> 1.123456789012345 +ddadd71461 add 1.123456789012345 0E-1 -> 1.123456789012345 +ddadd71462 add 1.123456789012345 0E-2 -> 1.123456789012345 +ddadd71463 add 1.123456789012345 0E-3 -> 1.123456789012345 +ddadd71464 add 1.123456789012345 0E-4 -> 1.123456789012345 +ddadd71465 add 1.123456789012345 0E-5 -> 1.123456789012345 +ddadd71466 add 1.123456789012345 0E-6 -> 1.123456789012345 +ddadd71467 add 1.123456789012345 0E-7 -> 1.123456789012345 +ddadd71468 add 1.123456789012345 0E-8 -> 1.123456789012345 +ddadd71469 add 1.123456789012345 0E-9 -> 1.123456789012345 +ddadd71470 add 1.123456789012345 0E-10 -> 1.123456789012345 +ddadd71471 add 1.123456789012345 0E-11 -> 1.123456789012345 +ddadd71472 add 1.123456789012345 0E-12 -> 1.123456789012345 +ddadd71473 add 1.123456789012345 0E-13 -> 1.123456789012345 +ddadd71474 add 1.123456789012345 0E-14 -> 1.123456789012345 +ddadd71475 add 1.123456789012345 0E-15 -> 1.123456789012345 +-- next four flag Rounded because the 0 extends the result +ddadd71476 add 1.123456789012345 0E-16 -> 1.123456789012345 Rounded +ddadd71477 add 1.123456789012345 0E-17 -> 1.123456789012345 Rounded +ddadd71478 add 1.123456789012345 0E-18 -> 1.123456789012345 Rounded +ddadd71479 add 1.123456789012345 0E-19 -> 1.123456789012345 Rounded + +-- sum of two opposite-sign operands is exactly 0 and floor => -0 +rounding: half_up +-- exact zeros from zeros +ddadd71500 add 0 0E-19 -> 0E-19 +ddadd71501 add -0 0E-19 -> 0E-19 +ddadd71502 add 0 -0E-19 -> 0E-19 +ddadd71503 add -0 -0E-19 -> -0E-19 +-- exact zeros from non-zeros +ddadd71511 add -11 11 -> 0 +ddadd71512 add 11 -11 -> 0 + +rounding: half_down +-- exact zeros from zeros +ddadd71520 add 0 0E-19 -> 0E-19 +ddadd71521 add -0 0E-19 -> 0E-19 +ddadd71522 add 0 -0E-19 -> 0E-19 +ddadd71523 add -0 -0E-19 -> -0E-19 +-- exact zeros from non-zeros +ddadd71531 add -11 11 -> 0 +ddadd71532 add 11 -11 -> 0 + +rounding: half_even +-- exact zeros from zeros +ddadd71540 add 0 0E-19 -> 0E-19 +ddadd71541 add -0 0E-19 -> 0E-19 +ddadd71542 add 0 -0E-19 -> 0E-19 +ddadd71543 add -0 -0E-19 -> -0E-19 +-- exact zeros from non-zeros +ddadd71551 add -11 11 -> 0 +ddadd71552 add 11 -11 -> 0 + +rounding: up +-- exact zeros from zeros +ddadd71560 add 0 0E-19 -> 0E-19 +ddadd71561 add -0 0E-19 -> 0E-19 +ddadd71562 add 0 -0E-19 -> 0E-19 +ddadd71563 add -0 -0E-19 -> -0E-19 +-- exact zeros from non-zeros +ddadd71571 add -11 11 -> 0 +ddadd71572 add 11 -11 -> 0 + +rounding: down +-- exact zeros from zeros +ddadd71580 add 0 0E-19 -> 0E-19 +ddadd71581 add -0 0E-19 -> 0E-19 +ddadd71582 add 0 -0E-19 -> 0E-19 +ddadd71583 add -0 -0E-19 -> -0E-19 +-- exact zeros from non-zeros +ddadd71591 add -11 11 -> 0 +ddadd71592 add 11 -11 -> 0 + +rounding: ceiling +-- exact zeros from zeros +ddadd71600 add 0 0E-19 -> 0E-19 +ddadd71601 add -0 0E-19 -> 0E-19 +ddadd71602 add 0 -0E-19 -> 0E-19 +ddadd71603 add -0 -0E-19 -> -0E-19 +-- exact zeros from non-zeros +ddadd71611 add -11 11 -> 0 +ddadd71612 add 11 -11 -> 0 + +-- and the extra-special ugly case; unusual minuses marked by -- * +rounding: floor +-- exact zeros from zeros +ddadd71620 add 0 0E-19 -> 0E-19 +ddadd71621 add -0 0E-19 -> -0E-19 -- * +ddadd71622 add 0 -0E-19 -> -0E-19 -- * +ddadd71623 add -0 -0E-19 -> -0E-19 +-- exact zeros from non-zeros +ddadd71631 add -11 11 -> -0 -- * +ddadd71632 add 11 -11 -> -0 -- * + +-- Examples from SQL proposal (Krishna Kulkarni) +ddadd71701 add 130E-2 120E-2 -> 2.50 +ddadd71702 add 130E-2 12E-1 -> 2.50 +ddadd71703 add 130E-2 1E0 -> 2.30 +ddadd71704 add 1E2 1E4 -> 1.01E+4 +ddadd71705 add 130E-2 -120E-2 -> 0.10 +ddadd71706 add 130E-2 -12E-1 -> 0.10 +ddadd71707 add 130E-2 -1E0 -> 0.30 +ddadd71708 add 1E2 -1E4 -> -9.9E+3 + +-- query from Vincent Kulandaisamy +rounding: ceiling +ddadd71801 add 7.8822773805862E+277 -5.1757503820663E-21 -> 7.882277380586200E+277 Inexact Rounded +ddadd71802 add 7.882277380586200E+277 12.341 -> 7.882277380586201E+277 Inexact Rounded +ddadd71803 add 7.882277380586201E+277 2.7270545046613E-31 -> 7.882277380586202E+277 Inexact Rounded + +ddadd71811 add 12.341 -5.1757503820663E-21 -> 12.34100000000000 Inexact Rounded +ddadd71812 add 12.34100000000000 2.7270545046613E-31 -> 12.34100000000001 Inexact Rounded +ddadd71813 add 12.34100000000001 7.8822773805862E+277 -> 7.882277380586201E+277 Inexact Rounded + +-- Gappy coefficients; check residue handling even with full coefficient gap +rounding: half_even + +ddadd75001 add 1234567890123456 1 -> 1234567890123457 +ddadd75002 add 1234567890123456 0.6 -> 1234567890123457 Inexact Rounded +ddadd75003 add 1234567890123456 0.06 -> 1234567890123456 Inexact Rounded +ddadd75004 add 1234567890123456 6E-3 -> 1234567890123456 Inexact Rounded +ddadd75005 add 1234567890123456 6E-4 -> 1234567890123456 Inexact Rounded +ddadd75006 add 1234567890123456 6E-5 -> 1234567890123456 Inexact Rounded +ddadd75007 add 1234567890123456 6E-6 -> 1234567890123456 Inexact Rounded +ddadd75008 add 1234567890123456 6E-7 -> 1234567890123456 Inexact Rounded +ddadd75009 add 1234567890123456 6E-8 -> 1234567890123456 Inexact Rounded +ddadd75010 add 1234567890123456 6E-9 -> 1234567890123456 Inexact Rounded +ddadd75011 add 1234567890123456 6E-10 -> 1234567890123456 Inexact Rounded +ddadd75012 add 1234567890123456 6E-11 -> 1234567890123456 Inexact Rounded +ddadd75013 add 1234567890123456 6E-12 -> 1234567890123456 Inexact Rounded +ddadd75014 add 1234567890123456 6E-13 -> 1234567890123456 Inexact Rounded +ddadd75015 add 1234567890123456 6E-14 -> 1234567890123456 Inexact Rounded +ddadd75016 add 1234567890123456 6E-15 -> 1234567890123456 Inexact Rounded +ddadd75017 add 1234567890123456 6E-16 -> 1234567890123456 Inexact Rounded +ddadd75018 add 1234567890123456 6E-17 -> 1234567890123456 Inexact Rounded +ddadd75019 add 1234567890123456 6E-18 -> 1234567890123456 Inexact Rounded +ddadd75020 add 1234567890123456 6E-19 -> 1234567890123456 Inexact Rounded +ddadd75021 add 1234567890123456 6E-20 -> 1234567890123456 Inexact Rounded + +-- widening second argument at gap +ddadd75030 add 12345678 1 -> 12345679 +ddadd75031 add 12345678 0.1 -> 12345678.1 +ddadd75032 add 12345678 0.12 -> 12345678.12 +ddadd75033 add 12345678 0.123 -> 12345678.123 +ddadd75034 add 12345678 0.1234 -> 12345678.1234 +ddadd75035 add 12345678 0.12345 -> 12345678.12345 +ddadd75036 add 12345678 0.123456 -> 12345678.123456 +ddadd75037 add 12345678 0.1234567 -> 12345678.1234567 +ddadd75038 add 12345678 0.12345678 -> 12345678.12345678 +ddadd75039 add 12345678 0.123456789 -> 12345678.12345679 Inexact Rounded +ddadd75040 add 12345678 0.123456785 -> 12345678.12345678 Inexact Rounded +ddadd75041 add 12345678 0.1234567850 -> 12345678.12345678 Inexact Rounded +ddadd75042 add 12345678 0.1234567851 -> 12345678.12345679 Inexact Rounded +ddadd75043 add 12345678 0.12345678501 -> 12345678.12345679 Inexact Rounded +ddadd75044 add 12345678 0.123456785001 -> 12345678.12345679 Inexact Rounded +ddadd75045 add 12345678 0.1234567850001 -> 12345678.12345679 Inexact Rounded +ddadd75046 add 12345678 0.12345678500001 -> 12345678.12345679 Inexact Rounded +ddadd75047 add 12345678 0.123456785000001 -> 12345678.12345679 Inexact Rounded +ddadd75048 add 12345678 0.1234567850000001 -> 12345678.12345679 Inexact Rounded +ddadd75049 add 12345678 0.1234567850000000 -> 12345678.12345678 Inexact Rounded +-- 90123456 +rounding: half_even +ddadd75050 add 12345678 0.0234567750000000 -> 12345678.02345678 Inexact Rounded +ddadd75051 add 12345678 0.0034567750000000 -> 12345678.00345678 Inexact Rounded +ddadd75052 add 12345678 0.0004567750000000 -> 12345678.00045678 Inexact Rounded +ddadd75053 add 12345678 0.0000567750000000 -> 12345678.00005678 Inexact Rounded +ddadd75054 add 12345678 0.0000067750000000 -> 12345678.00000678 Inexact Rounded +ddadd75055 add 12345678 0.0000007750000000 -> 12345678.00000078 Inexact Rounded +ddadd75056 add 12345678 0.0000000750000000 -> 12345678.00000008 Inexact Rounded +ddadd75057 add 12345678 0.0000000050000000 -> 12345678.00000000 Inexact Rounded +ddadd75060 add 12345678 0.0234567750000001 -> 12345678.02345678 Inexact Rounded +ddadd75061 add 12345678 0.0034567750000001 -> 12345678.00345678 Inexact Rounded +ddadd75062 add 12345678 0.0004567750000001 -> 12345678.00045678 Inexact Rounded +ddadd75063 add 12345678 0.0000567750000001 -> 12345678.00005678 Inexact Rounded +ddadd75064 add 12345678 0.0000067750000001 -> 12345678.00000678 Inexact Rounded +ddadd75065 add 12345678 0.0000007750000001 -> 12345678.00000078 Inexact Rounded +ddadd75066 add 12345678 0.0000000750000001 -> 12345678.00000008 Inexact Rounded +ddadd75067 add 12345678 0.0000000050000001 -> 12345678.00000001 Inexact Rounded +-- far-out residues (full coefficient gap is 16+15 digits) +rounding: up +ddadd75070 add 12345678 1E-8 -> 12345678.00000001 +ddadd75071 add 12345678 1E-9 -> 12345678.00000001 Inexact Rounded +ddadd75072 add 12345678 1E-10 -> 12345678.00000001 Inexact Rounded +ddadd75073 add 12345678 1E-11 -> 12345678.00000001 Inexact Rounded +ddadd75074 add 12345678 1E-12 -> 12345678.00000001 Inexact Rounded +ddadd75075 add 12345678 1E-13 -> 12345678.00000001 Inexact Rounded +ddadd75076 add 12345678 1E-14 -> 12345678.00000001 Inexact Rounded +ddadd75077 add 12345678 1E-15 -> 12345678.00000001 Inexact Rounded +ddadd75078 add 12345678 1E-16 -> 12345678.00000001 Inexact Rounded +ddadd75079 add 12345678 1E-17 -> 12345678.00000001 Inexact Rounded +ddadd75080 add 12345678 1E-18 -> 12345678.00000001 Inexact Rounded +ddadd75081 add 12345678 1E-19 -> 12345678.00000001 Inexact Rounded +ddadd75082 add 12345678 1E-20 -> 12345678.00000001 Inexact Rounded +ddadd75083 add 12345678 1E-25 -> 12345678.00000001 Inexact Rounded +ddadd75084 add 12345678 1E-30 -> 12345678.00000001 Inexact Rounded +ddadd75085 add 12345678 1E-31 -> 12345678.00000001 Inexact Rounded +ddadd75086 add 12345678 1E-32 -> 12345678.00000001 Inexact Rounded +ddadd75087 add 12345678 1E-33 -> 12345678.00000001 Inexact Rounded +ddadd75088 add 12345678 1E-34 -> 12345678.00000001 Inexact Rounded +ddadd75089 add 12345678 1E-35 -> 12345678.00000001 Inexact Rounded + +-- Punit's +ddadd75100 add 1.000 -200.000 -> -199.000 + +-- Rounding swathe +rounding: half_even +ddadd81100 add .2300 12345678901234.00 -> 12345678901234.23 Rounded +ddadd81101 add .2301 12345678901234.00 -> 12345678901234.23 Inexact Rounded +ddadd81102 add .2310 12345678901234.00 -> 12345678901234.23 Inexact Rounded +ddadd81103 add .2350 12345678901234.00 -> 12345678901234.24 Inexact Rounded +ddadd81104 add .2351 12345678901234.00 -> 12345678901234.24 Inexact Rounded +ddadd81105 add .2450 12345678901234.00 -> 12345678901234.24 Inexact Rounded +ddadd81106 add .2451 12345678901234.00 -> 12345678901234.25 Inexact Rounded +ddadd81107 add .2360 12345678901234.00 -> 12345678901234.24 Inexact Rounded +ddadd81108 add .2370 12345678901234.00 -> 12345678901234.24 Inexact Rounded +ddadd81109 add .2399 12345678901234.00 -> 12345678901234.24 Inexact Rounded +ddadd81120 add 9999999999999999E+369 9E+369 -> Infinity Overflow Inexact Rounded +ddadd81121 add -9999999999999999E+369 -9E+369 -> -Infinity Overflow Inexact Rounded + +rounding: half_up +ddadd81200 add .2300 12345678901234.00 -> 12345678901234.23 Rounded +ddadd81201 add .2301 12345678901234.00 -> 12345678901234.23 Inexact Rounded +ddadd81202 add .2310 12345678901234.00 -> 12345678901234.23 Inexact Rounded +ddadd81203 add .2350 12345678901234.00 -> 12345678901234.24 Inexact Rounded +ddadd81204 add .2351 12345678901234.00 -> 12345678901234.24 Inexact Rounded +ddadd81205 add .2450 12345678901234.00 -> 12345678901234.25 Inexact Rounded +ddadd81206 add .2451 12345678901234.00 -> 12345678901234.25 Inexact Rounded +ddadd81207 add .2360 12345678901234.00 -> 12345678901234.24 Inexact Rounded +ddadd81208 add .2370 12345678901234.00 -> 12345678901234.24 Inexact Rounded +ddadd81209 add .2399 12345678901234.00 -> 12345678901234.24 Inexact Rounded +ddadd81220 add 9999999999999999E+369 9E+369 -> Infinity Overflow Inexact Rounded +ddadd81221 add -9999999999999999E+369 -9E+369 -> -Infinity Overflow Inexact Rounded + +rounding: half_down +ddadd81300 add .2300 12345678901234.00 -> 12345678901234.23 Rounded +ddadd81301 add .2301 12345678901234.00 -> 12345678901234.23 Inexact Rounded +ddadd81302 add .2310 12345678901234.00 -> 12345678901234.23 Inexact Rounded +ddadd81303 add .2350 12345678901234.00 -> 12345678901234.23 Inexact Rounded +ddadd81304 add .2351 12345678901234.00 -> 12345678901234.24 Inexact Rounded +ddadd81305 add .2450 12345678901234.00 -> 12345678901234.24 Inexact Rounded +ddadd81306 add .2451 12345678901234.00 -> 12345678901234.25 Inexact Rounded +ddadd81307 add .2360 12345678901234.00 -> 12345678901234.24 Inexact Rounded +ddadd81308 add .2370 12345678901234.00 -> 12345678901234.24 Inexact Rounded +ddadd81309 add .2399 12345678901234.00 -> 12345678901234.24 Inexact Rounded +ddadd81320 add 9999999999999999E+369 9E+369 -> Infinity Overflow Inexact Rounded +ddadd81321 add -9999999999999999E+369 -9E+369 -> -Infinity Overflow Inexact Rounded + +rounding: up +ddadd81400 add .2300 12345678901234.00 -> 12345678901234.23 Rounded +ddadd81401 add .2301 12345678901234.00 -> 12345678901234.24 Inexact Rounded +ddadd81402 add .2310 12345678901234.00 -> 12345678901234.24 Inexact Rounded +ddadd81403 add .2350 12345678901234.00 -> 12345678901234.24 Inexact Rounded +ddadd81404 add .2351 12345678901234.00 -> 12345678901234.24 Inexact Rounded +ddadd81405 add .2450 12345678901234.00 -> 12345678901234.25 Inexact Rounded +ddadd81406 add .2451 12345678901234.00 -> 12345678901234.25 Inexact Rounded +ddadd81407 add .2360 12345678901234.00 -> 12345678901234.24 Inexact Rounded +ddadd81408 add .2370 12345678901234.00 -> 12345678901234.24 Inexact Rounded +ddadd81409 add .2399 12345678901234.00 -> 12345678901234.24 Inexact Rounded +ddadd81411 add -.2399 -12345678901234.00 -> -12345678901234.24 Inexact Rounded +ddadd81420 add 9999999999999999E+369 9E+369 -> Infinity Overflow Inexact Rounded +ddadd81421 add -9999999999999999E+369 -9E+369 -> -Infinity Overflow Inexact Rounded + +rounding: down +ddadd81500 add .2300 12345678901234.00 -> 12345678901234.23 Rounded +ddadd81501 add .2301 12345678901234.00 -> 12345678901234.23 Inexact Rounded +ddadd81502 add .2310 12345678901234.00 -> 12345678901234.23 Inexact Rounded +ddadd81503 add .2350 12345678901234.00 -> 12345678901234.23 Inexact Rounded +ddadd81504 add .2351 12345678901234.00 -> 12345678901234.23 Inexact Rounded +ddadd81505 add .2450 12345678901234.00 -> 12345678901234.24 Inexact Rounded +ddadd81506 add .2451 12345678901234.00 -> 12345678901234.24 Inexact Rounded +ddadd81507 add .2360 12345678901234.00 -> 12345678901234.23 Inexact Rounded +ddadd81508 add .2370 12345678901234.00 -> 12345678901234.23 Inexact Rounded +ddadd81509 add .2399 12345678901234.00 -> 12345678901234.23 Inexact Rounded +ddadd81511 add -.2399 -12345678901234.00 -> -12345678901234.23 Inexact Rounded +ddadd81520 add 9999999999999999E+369 9E+369 -> 9.999999999999999E+384 Overflow Inexact Rounded +ddadd81521 add -9999999999999999E+369 -9E+369 -> -9.999999999999999E+384 Overflow Inexact Rounded + +rounding: ceiling +ddadd81600 add .2300 12345678901234.00 -> 12345678901234.23 Rounded +ddadd81601 add .2301 12345678901234.00 -> 12345678901234.24 Inexact Rounded +ddadd81602 add .2310 12345678901234.00 -> 12345678901234.24 Inexact Rounded +ddadd81603 add .2350 12345678901234.00 -> 12345678901234.24 Inexact Rounded +ddadd81604 add .2351 12345678901234.00 -> 12345678901234.24 Inexact Rounded +ddadd81605 add .2450 12345678901234.00 -> 12345678901234.25 Inexact Rounded +ddadd81606 add .2451 12345678901234.00 -> 12345678901234.25 Inexact Rounded +ddadd81607 add .2360 12345678901234.00 -> 12345678901234.24 Inexact Rounded +ddadd81608 add .2370 12345678901234.00 -> 12345678901234.24 Inexact Rounded +ddadd81609 add .2399 12345678901234.00 -> 12345678901234.24 Inexact Rounded +ddadd81611 add -.2399 -12345678901234.00 -> -12345678901234.23 Inexact Rounded +ddadd81620 add 9999999999999999E+369 9E+369 -> Infinity Overflow Inexact Rounded +ddadd81621 add -9999999999999999E+369 -9E+369 -> -9.999999999999999E+384 Overflow Inexact Rounded + +rounding: floor +ddadd81700 add .2300 12345678901234.00 -> 12345678901234.23 Rounded +ddadd81701 add .2301 12345678901234.00 -> 12345678901234.23 Inexact Rounded +ddadd81702 add .2310 12345678901234.00 -> 12345678901234.23 Inexact Rounded +ddadd81703 add .2350 12345678901234.00 -> 12345678901234.23 Inexact Rounded +ddadd81704 add .2351 12345678901234.00 -> 12345678901234.23 Inexact Rounded +ddadd81705 add .2450 12345678901234.00 -> 12345678901234.24 Inexact Rounded +ddadd81706 add .2451 12345678901234.00 -> 12345678901234.24 Inexact Rounded +ddadd81707 add .2360 12345678901234.00 -> 12345678901234.23 Inexact Rounded +ddadd81708 add .2370 12345678901234.00 -> 12345678901234.23 Inexact Rounded +ddadd81709 add .2399 12345678901234.00 -> 12345678901234.23 Inexact Rounded +ddadd81711 add -.2399 -12345678901234.00 -> -12345678901234.24 Inexact Rounded +ddadd81720 add 9999999999999999E+369 9E+369 -> 9.999999999999999E+384 Overflow Inexact Rounded +ddadd81721 add -9999999999999999E+369 -9E+369 -> -Infinity Overflow Inexact Rounded + +rounding: 05up +ddadd81800 add .2000 12345678901234.00 -> 12345678901234.20 Rounded +ddadd81801 add .2001 12345678901234.00 -> 12345678901234.21 Inexact Rounded +ddadd81802 add .2010 12345678901234.00 -> 12345678901234.21 Inexact Rounded +ddadd81803 add .2050 12345678901234.00 -> 12345678901234.21 Inexact Rounded +ddadd81804 add .2051 12345678901234.00 -> 12345678901234.21 Inexact Rounded +ddadd81807 add .2060 12345678901234.00 -> 12345678901234.21 Inexact Rounded +ddadd81808 add .2070 12345678901234.00 -> 12345678901234.21 Inexact Rounded +ddadd81809 add .2099 12345678901234.00 -> 12345678901234.21 Inexact Rounded +ddadd81811 add -.2099 -12345678901234.00 -> -12345678901234.21 Inexact Rounded +ddadd81820 add 9999999999999999E+369 9E+369 -> 9.999999999999999E+384 Overflow Inexact Rounded +ddadd81821 add -9999999999999999E+369 -9E+369 -> -9.999999999999999E+384 Overflow Inexact Rounded + +ddadd81900 add .2100 12345678901234.00 -> 12345678901234.21 Rounded +ddadd81901 add .2101 12345678901234.00 -> 12345678901234.21 Inexact Rounded +ddadd81902 add .2110 12345678901234.00 -> 12345678901234.21 Inexact Rounded +ddadd81903 add .2150 12345678901234.00 -> 12345678901234.21 Inexact Rounded +ddadd81904 add .2151 12345678901234.00 -> 12345678901234.21 Inexact Rounded +ddadd81907 add .2160 12345678901234.00 -> 12345678901234.21 Inexact Rounded +ddadd81908 add .2170 12345678901234.00 -> 12345678901234.21 Inexact Rounded +ddadd81909 add .2199 12345678901234.00 -> 12345678901234.21 Inexact Rounded +ddadd81911 add -.2199 -12345678901234.00 -> -12345678901234.21 Inexact Rounded + +ddadd82000 add .2400 12345678901234.00 -> 12345678901234.24 Rounded +ddadd82001 add .2401 12345678901234.00 -> 12345678901234.24 Inexact Rounded +ddadd82002 add .2410 12345678901234.00 -> 12345678901234.24 Inexact Rounded +ddadd82003 add .2450 12345678901234.00 -> 12345678901234.24 Inexact Rounded +ddadd82004 add .2451 12345678901234.00 -> 12345678901234.24 Inexact Rounded +ddadd82007 add .2460 12345678901234.00 -> 12345678901234.24 Inexact Rounded +ddadd82008 add .2470 12345678901234.00 -> 12345678901234.24 Inexact Rounded +ddadd82009 add .2499 12345678901234.00 -> 12345678901234.24 Inexact Rounded +ddadd82011 add -.2499 -12345678901234.00 -> -12345678901234.24 Inexact Rounded + +ddadd82100 add .2500 12345678901234.00 -> 12345678901234.25 Rounded +ddadd82101 add .2501 12345678901234.00 -> 12345678901234.26 Inexact Rounded +ddadd82102 add .2510 12345678901234.00 -> 12345678901234.26 Inexact Rounded +ddadd82103 add .2550 12345678901234.00 -> 12345678901234.26 Inexact Rounded +ddadd82104 add .2551 12345678901234.00 -> 12345678901234.26 Inexact Rounded +ddadd82107 add .2560 12345678901234.00 -> 12345678901234.26 Inexact Rounded +ddadd82108 add .2570 12345678901234.00 -> 12345678901234.26 Inexact Rounded +ddadd82109 add .2599 12345678901234.00 -> 12345678901234.26 Inexact Rounded +ddadd82111 add -.2599 -12345678901234.00 -> -12345678901234.26 Inexact Rounded + +ddadd82200 add .2600 12345678901234.00 -> 12345678901234.26 Rounded +ddadd82201 add .2601 12345678901234.00 -> 12345678901234.26 Inexact Rounded +ddadd82202 add .2610 12345678901234.00 -> 12345678901234.26 Inexact Rounded +ddadd82203 add .2650 12345678901234.00 -> 12345678901234.26 Inexact Rounded +ddadd82204 add .2651 12345678901234.00 -> 12345678901234.26 Inexact Rounded +ddadd82207 add .2660 12345678901234.00 -> 12345678901234.26 Inexact Rounded +ddadd82208 add .2670 12345678901234.00 -> 12345678901234.26 Inexact Rounded +ddadd82209 add .2699 12345678901234.00 -> 12345678901234.26 Inexact Rounded +ddadd82211 add -.2699 -12345678901234.00 -> -12345678901234.26 Inexact Rounded + +ddadd82300 add .2900 12345678901234.00 -> 12345678901234.29 Rounded +ddadd82301 add .2901 12345678901234.00 -> 12345678901234.29 Inexact Rounded +ddadd82302 add .2910 12345678901234.00 -> 12345678901234.29 Inexact Rounded +ddadd82303 add .2950 12345678901234.00 -> 12345678901234.29 Inexact Rounded +ddadd82304 add .2951 12345678901234.00 -> 12345678901234.29 Inexact Rounded +ddadd82307 add .2960 12345678901234.00 -> 12345678901234.29 Inexact Rounded +ddadd82308 add .2970 12345678901234.00 -> 12345678901234.29 Inexact Rounded +ddadd82309 add .2999 12345678901234.00 -> 12345678901234.29 Inexact Rounded +ddadd82311 add -.2999 -12345678901234.00 -> -12345678901234.29 Inexact Rounded + +-- Null tests +ddadd9990 add 10 # -> NaN Invalid_operation +ddadd9991 add # 10 -> NaN Invalid_operation |