| Facundo Batista | 353750c | 2007-09-13 18:13:15 +0000 | [diff] [blame] | 1 | ------/cancell---------------------------------------------------------- | 
| Raymond Hettinger | 7c85fa4 | 2004-07-01 11:01:35 +0000 | [diff] [blame] | 2 | -- add.decTest -- decimal addition                                    -- | 
| Mark Dickinson | fe84cce | 2008-07-27 06:39:07 +0000 | [diff] [blame] | 3 | -- Copyright (c) IBM Corporation, 1981, 2008.  All rights reserved.   -- | 
| Raymond Hettinger | 7c85fa4 | 2004-07-01 11:01:35 +0000 | [diff] [blame] | 4 | ------------------------------------------------------------------------ | 
 | 5 | -- Please see the document "General Decimal Arithmetic Testcases"     -- | 
 | 6 | -- at http://www2.hursley.ibm.com/decimal for the description of      -- | 
 | 7 | -- these testcases.                                                   -- | 
 | 8 | --                                                                    -- | 
 | 9 | -- These testcases are experimental ('beta' versions), and they       -- | 
 | 10 | -- may contain errors.  They are offered on an as-is basis.  In       -- | 
 | 11 | -- particular, achieving the same results as the tests here is not    -- | 
 | 12 | -- a guarantee that an implementation complies with any Standard      -- | 
 | 13 | -- or specification.  The tests are not exhaustive.                   -- | 
 | 14 | --                                                                    -- | 
 | 15 | -- Please send comments, suggestions, and corrections to the author:  -- | 
 | 16 | --   Mike Cowlishaw, IBM Fellow                                       -- | 
 | 17 | --   IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK         -- | 
 | 18 | --   mfc@uk.ibm.com                                                   -- | 
 | 19 | ------------------------------------------------------------------------ | 
| Mark Dickinson | 539bff4 | 2009-10-08 16:28:39 +0000 | [diff] [blame] | 20 | version: 2.59 | 
| Raymond Hettinger | 7c85fa4 | 2004-07-01 11:01:35 +0000 | [diff] [blame] | 21 |  | 
 | 22 | precision:   9 | 
 | 23 | rounding:    half_up | 
 | 24 | maxExponent: 384 | 
 | 25 | minexponent: -383 | 
 | 26 | extended:    1 | 
 | 27 |  | 
 | 28 | -- [first group are 'quick confidence check'] | 
 | 29 | addx001 add 1       1       ->  2 | 
 | 30 | addx002 add 2       3       ->  5 | 
 | 31 | addx003 add '5.75'  '3.3'   ->  9.05 | 
 | 32 | addx004 add '5'     '-3'    ->  2 | 
 | 33 | addx005 add '-5'    '-3'    ->  -8 | 
 | 34 | addx006 add '-7'    '2.5'   ->  -4.5 | 
 | 35 | addx007 add '0.7'   '0.3'   ->  1.0 | 
 | 36 | addx008 add '1.25'  '1.25'  ->  2.50 | 
 | 37 | addx009 add '1.23456789'  '1.00000000' -> '2.23456789' | 
 | 38 | addx010 add '1.23456789'  '1.00000011' -> '2.23456800' | 
 | 39 |  | 
 | 40 | addx011 add '0.4444444444'  '0.5555555555' -> '1.00000000' Inexact Rounded | 
 | 41 | addx012 add '0.4444444440'  '0.5555555555' -> '1.00000000' Inexact Rounded | 
 | 42 | addx013 add '0.4444444444'  '0.5555555550' -> '0.999999999' Inexact Rounded | 
 | 43 | addx014 add '0.44444444449'    '0' -> '0.444444444' Inexact Rounded | 
 | 44 | addx015 add '0.444444444499'   '0' -> '0.444444444' Inexact Rounded | 
 | 45 | addx016 add '0.4444444444999'  '0' -> '0.444444444' Inexact Rounded | 
 | 46 | addx017 add '0.4444444445000'  '0' -> '0.444444445' Inexact Rounded | 
 | 47 | addx018 add '0.4444444445001'  '0' -> '0.444444445' Inexact Rounded | 
 | 48 | addx019 add '0.444444444501'   '0' -> '0.444444445' Inexact Rounded | 
 | 49 | addx020 add '0.44444444451'    '0' -> '0.444444445' Inexact Rounded | 
 | 50 |  | 
 | 51 | addx021 add 0 1 -> 1 | 
 | 52 | addx022 add 1 1 -> 2 | 
 | 53 | addx023 add 2 1 -> 3 | 
 | 54 | addx024 add 3 1 -> 4 | 
 | 55 | addx025 add 4 1 -> 5 | 
 | 56 | addx026 add 5 1 -> 6 | 
 | 57 | addx027 add 6 1 -> 7 | 
 | 58 | addx028 add 7 1 -> 8 | 
 | 59 | addx029 add 8 1 -> 9 | 
 | 60 | addx030 add 9 1 -> 10 | 
 | 61 |  | 
 | 62 | -- some carrying effects | 
 | 63 | addx031 add '0.9998'  '0.0000' -> '0.9998' | 
 | 64 | addx032 add '0.9998'  '0.0001' -> '0.9999' | 
 | 65 | addx033 add '0.9998'  '0.0002' -> '1.0000' | 
 | 66 | addx034 add '0.9998'  '0.0003' -> '1.0001' | 
 | 67 |  | 
 | 68 | addx035 add '70'  '10000e+9' -> '1.00000000E+13' Inexact Rounded | 
 | 69 | addx036 add '700'  '10000e+9' -> '1.00000000E+13' Inexact Rounded | 
 | 70 | addx037 add '7000'  '10000e+9' -> '1.00000000E+13' Inexact Rounded | 
 | 71 | addx038 add '70000'  '10000e+9' -> '1.00000001E+13' Inexact Rounded | 
 | 72 | addx039 add '700000'  '10000e+9' -> '1.00000007E+13' Rounded | 
 | 73 |  | 
 | 74 | -- symmetry: | 
 | 75 | addx040 add '10000e+9'  '70' -> '1.00000000E+13' Inexact Rounded | 
 | 76 | addx041 add '10000e+9'  '700' -> '1.00000000E+13' Inexact Rounded | 
 | 77 | addx042 add '10000e+9'  '7000' -> '1.00000000E+13' Inexact Rounded | 
 | 78 | addx044 add '10000e+9'  '70000' -> '1.00000001E+13' Inexact Rounded | 
 | 79 | addx045 add '10000e+9'  '700000' -> '1.00000007E+13' Rounded | 
 | 80 |  | 
 | 81 | -- same, higher precision | 
 | 82 | precision: 15 | 
 | 83 | addx046 add '10000e+9'  '7' -> '10000000000007' | 
 | 84 | addx047 add '10000e+9'  '70' -> '10000000000070' | 
 | 85 | addx048 add '10000e+9'  '700' -> '10000000000700' | 
 | 86 | addx049 add '10000e+9'  '7000' -> '10000000007000' | 
 | 87 | addx050 add '10000e+9'  '70000' -> '10000000070000' | 
 | 88 | addx051 add '10000e+9'  '700000' -> '10000000700000' | 
| Facundo Batista | 353750c | 2007-09-13 18:13:15 +0000 | [diff] [blame] | 89 | addx052 add '10000e+9'  '7000000' -> '10000007000000' | 
| Raymond Hettinger | 7c85fa4 | 2004-07-01 11:01:35 +0000 | [diff] [blame] | 90 |  | 
 | 91 | -- examples from decarith | 
 | 92 | addx053 add '12' '7.00' -> '19.00' | 
 | 93 | addx054 add '1.3' '-1.07' -> '0.23' | 
 | 94 | addx055 add '1.3' '-1.30' -> '0.00' | 
 | 95 | addx056 add '1.3' '-2.07' -> '-0.77' | 
 | 96 | addx057 add '1E+2' '1E+4' -> '1.01E+4' | 
 | 97 |  | 
 | 98 | -- zero preservation | 
 | 99 | precision: 6 | 
 | 100 | addx060 add '10000e+9'  '70000' -> '1.00000E+13' Inexact Rounded | 
 | 101 | addx061 add 1 '0.0001' -> '1.0001' | 
 | 102 | addx062 add 1 '0.00001' -> '1.00001' | 
 | 103 | addx063 add 1 '0.000001' -> '1.00000' Inexact Rounded | 
 | 104 | addx064 add 1 '0.0000001' -> '1.00000' Inexact Rounded | 
 | 105 | addx065 add 1 '0.00000001' -> '1.00000' Inexact Rounded | 
 | 106 |  | 
 | 107 | -- some funny zeros [in case of bad signum] | 
 | 108 | addx070 add 1  0    -> 1 | 
 | 109 | addx071 add 1 0.    -> 1 | 
 | 110 | addx072 add 1  .0   -> 1.0 | 
 | 111 | addx073 add 1 0.0   -> 1.0 | 
 | 112 | addx074 add 1 0.00  -> 1.00 | 
 | 113 | addx075 add  0  1   -> 1 | 
 | 114 | addx076 add 0.  1   -> 1 | 
 | 115 | addx077 add  .0 1   -> 1.0 | 
 | 116 | addx078 add 0.0 1   -> 1.0 | 
 | 117 | addx079 add 0.00 1  -> 1.00 | 
 | 118 |  | 
 | 119 | precision: 9 | 
 | 120 |  | 
 | 121 | -- some carries | 
 | 122 | addx080 add 999999998 1  -> 999999999 | 
 | 123 | addx081 add 999999999 1  -> 1.00000000E+9 Rounded | 
 | 124 | addx082 add  99999999 1  -> 100000000 | 
 | 125 | addx083 add   9999999 1  -> 10000000 | 
 | 126 | addx084 add    999999 1  -> 1000000 | 
 | 127 | addx085 add     99999 1  -> 100000 | 
 | 128 | addx086 add      9999 1  -> 10000 | 
 | 129 | addx087 add       999 1  -> 1000 | 
 | 130 | addx088 add        99 1  -> 100 | 
 | 131 | addx089 add         9 1  -> 10 | 
 | 132 |  | 
 | 133 |  | 
 | 134 | -- more LHS swaps | 
 | 135 | addx090 add '-56267E-10'   0 ->  '-0.0000056267' | 
 | 136 | addx091 add '-56267E-6'    0 ->  '-0.056267' | 
 | 137 | addx092 add '-56267E-5'    0 ->  '-0.56267' | 
 | 138 | addx093 add '-56267E-4'    0 ->  '-5.6267' | 
 | 139 | addx094 add '-56267E-3'    0 ->  '-56.267' | 
 | 140 | addx095 add '-56267E-2'    0 ->  '-562.67' | 
 | 141 | addx096 add '-56267E-1'    0 ->  '-5626.7' | 
 | 142 | addx097 add '-56267E-0'    0 ->  '-56267' | 
 | 143 | addx098 add '-5E-10'       0 ->  '-5E-10' | 
 | 144 | addx099 add '-5E-7'        0 ->  '-5E-7' | 
 | 145 | addx100 add '-5E-6'        0 ->  '-0.000005' | 
 | 146 | addx101 add '-5E-5'        0 ->  '-0.00005' | 
 | 147 | addx102 add '-5E-4'        0 ->  '-0.0005' | 
 | 148 | addx103 add '-5E-1'        0 ->  '-0.5' | 
 | 149 | addx104 add '-5E0'         0 ->  '-5' | 
 | 150 | addx105 add '-5E1'         0 ->  '-50' | 
 | 151 | addx106 add '-5E5'         0 ->  '-500000' | 
 | 152 | addx107 add '-5E8'         0 ->  '-500000000' | 
 | 153 | addx108 add '-5E9'         0 ->  '-5.00000000E+9'   Rounded | 
 | 154 | addx109 add '-5E10'        0 ->  '-5.00000000E+10'  Rounded | 
 | 155 | addx110 add '-5E11'        0 ->  '-5.00000000E+11'  Rounded | 
 | 156 | addx111 add '-5E100'       0 ->  '-5.00000000E+100' Rounded | 
 | 157 |  | 
 | 158 | -- more RHS swaps | 
 | 159 | addx113 add 0  '-56267E-10' ->  '-0.0000056267' | 
 | 160 | addx114 add 0  '-56267E-6'  ->  '-0.056267' | 
 | 161 | addx116 add 0  '-56267E-5'  ->  '-0.56267' | 
 | 162 | addx117 add 0  '-56267E-4'  ->  '-5.6267' | 
 | 163 | addx119 add 0  '-56267E-3'  ->  '-56.267' | 
 | 164 | addx120 add 0  '-56267E-2'  ->  '-562.67' | 
 | 165 | addx121 add 0  '-56267E-1'  ->  '-5626.7' | 
 | 166 | addx122 add 0  '-56267E-0'  ->  '-56267' | 
 | 167 | addx123 add 0  '-5E-10'     ->  '-5E-10' | 
 | 168 | addx124 add 0  '-5E-7'      ->  '-5E-7' | 
 | 169 | addx125 add 0  '-5E-6'      ->  '-0.000005' | 
 | 170 | addx126 add 0  '-5E-5'      ->  '-0.00005' | 
 | 171 | addx127 add 0  '-5E-4'      ->  '-0.0005' | 
 | 172 | addx128 add 0  '-5E-1'      ->  '-0.5' | 
 | 173 | addx129 add 0  '-5E0'       ->  '-5' | 
 | 174 | addx130 add 0  '-5E1'       ->  '-50' | 
 | 175 | addx131 add 0  '-5E5'       ->  '-500000' | 
 | 176 | addx132 add 0  '-5E8'       ->  '-500000000' | 
 | 177 | addx133 add 0  '-5E9'       ->  '-5.00000000E+9'    Rounded | 
 | 178 | addx134 add 0  '-5E10'      ->  '-5.00000000E+10'   Rounded | 
 | 179 | addx135 add 0  '-5E11'      ->  '-5.00000000E+11'   Rounded | 
 | 180 | addx136 add 0  '-5E100'     ->  '-5.00000000E+100'  Rounded | 
 | 181 |  | 
 | 182 | -- related | 
 | 183 | addx137 add  1  '0E-12'      ->  '1.00000000'  Rounded | 
 | 184 | addx138 add -1  '0E-12'      ->  '-1.00000000' Rounded | 
 | 185 | addx139 add '0E-12' 1        ->  '1.00000000'  Rounded | 
 | 186 | addx140 add '0E-12' -1       ->  '-1.00000000' Rounded | 
 | 187 | addx141 add 1E+4    0.0000   ->  '10000.0000' | 
 | 188 | addx142 add 1E+4    0.00000  ->  '10000.0000'  Rounded | 
 | 189 | addx143 add 0.000   1E+5     ->  '100000.000' | 
 | 190 | addx144 add 0.0000  1E+5     ->  '100000.000'  Rounded | 
 | 191 |  | 
 | 192 | -- [some of the next group are really constructor tests] | 
 | 193 | addx146 add '00.0'  0       ->  '0.0' | 
 | 194 | addx147 add '0.00'  0       ->  '0.00' | 
 | 195 | addx148 add  0      '0.00'  ->  '0.00' | 
 | 196 | addx149 add  0      '00.0'  ->  '0.0' | 
 | 197 | addx150 add '00.0'  '0.00'  ->  '0.00' | 
 | 198 | addx151 add '0.00'  '00.0'  ->  '0.00' | 
 | 199 | addx152 add '3'     '.3'    ->  '3.3' | 
 | 200 | addx153 add '3.'    '.3'    ->  '3.3' | 
 | 201 | addx154 add '3.0'   '.3'    ->  '3.3' | 
 | 202 | addx155 add '3.00'  '.3'    ->  '3.30' | 
 | 203 | addx156 add '3'     '3'     ->  '6' | 
 | 204 | addx157 add '3'     '+3'    ->  '6' | 
 | 205 | addx158 add '3'     '-3'    ->  '0' | 
 | 206 | addx159 add '0.3'   '-0.3'  ->  '0.0' | 
 | 207 | addx160 add '0.03'  '-0.03' ->  '0.00' | 
 | 208 |  | 
 | 209 | -- try borderline precision, with carries, etc. | 
 | 210 | precision: 15 | 
 | 211 | addx161 add '1E+12' '-1'    -> '999999999999' | 
 | 212 | addx162 add '1E+12'  '1.11' -> '1000000000001.11' | 
 | 213 | addx163 add '1.11'  '1E+12' -> '1000000000001.11' | 
 | 214 | addx164 add '-1'    '1E+12' -> '999999999999' | 
 | 215 | addx165 add '7E+12' '-1'    -> '6999999999999' | 
 | 216 | addx166 add '7E+12'  '1.11' -> '7000000000001.11' | 
 | 217 | addx167 add '1.11'  '7E+12' -> '7000000000001.11' | 
 | 218 | addx168 add '-1'    '7E+12' -> '6999999999999' | 
 | 219 |  | 
| Facundo Batista | 353750c | 2007-09-13 18:13:15 +0000 | [diff] [blame] | 220 | --             123456789012345      123456789012345      1 23456789012345 | 
| Raymond Hettinger | 7c85fa4 | 2004-07-01 11:01:35 +0000 | [diff] [blame] | 221 | addx170 add '0.444444444444444'  '0.555555555555563' -> '1.00000000000001' Inexact Rounded | 
 | 222 | addx171 add '0.444444444444444'  '0.555555555555562' -> '1.00000000000001' Inexact Rounded | 
 | 223 | addx172 add '0.444444444444444'  '0.555555555555561' -> '1.00000000000001' Inexact Rounded | 
 | 224 | addx173 add '0.444444444444444'  '0.555555555555560' -> '1.00000000000000' Inexact Rounded | 
 | 225 | addx174 add '0.444444444444444'  '0.555555555555559' -> '1.00000000000000' Inexact Rounded | 
 | 226 | addx175 add '0.444444444444444'  '0.555555555555558' -> '1.00000000000000' Inexact Rounded | 
 | 227 | addx176 add '0.444444444444444'  '0.555555555555557' -> '1.00000000000000' Inexact Rounded | 
 | 228 | addx177 add '0.444444444444444'  '0.555555555555556' -> '1.00000000000000' Rounded | 
 | 229 | addx178 add '0.444444444444444'  '0.555555555555555' -> '0.999999999999999' | 
 | 230 | addx179 add '0.444444444444444'  '0.555555555555554' -> '0.999999999999998' | 
 | 231 | addx180 add '0.444444444444444'  '0.555555555555553' -> '0.999999999999997' | 
 | 232 | addx181 add '0.444444444444444'  '0.555555555555552' -> '0.999999999999996' | 
 | 233 | addx182 add '0.444444444444444'  '0.555555555555551' -> '0.999999999999995' | 
 | 234 | addx183 add '0.444444444444444'  '0.555555555555550' -> '0.999999999999994' | 
 | 235 |  | 
 | 236 | -- and some more, including residue effects and different roundings | 
 | 237 | precision: 9 | 
 | 238 | rounding: half_up | 
 | 239 | addx200 add '123456789' 0             -> '123456789' | 
 | 240 | addx201 add '123456789' 0.000000001   -> '123456789' Inexact Rounded | 
 | 241 | addx202 add '123456789' 0.000001      -> '123456789' Inexact Rounded | 
 | 242 | addx203 add '123456789' 0.1           -> '123456789' Inexact Rounded | 
 | 243 | addx204 add '123456789' 0.4           -> '123456789' Inexact Rounded | 
 | 244 | addx205 add '123456789' 0.49          -> '123456789' Inexact Rounded | 
 | 245 | addx206 add '123456789' 0.499999      -> '123456789' Inexact Rounded | 
 | 246 | addx207 add '123456789' 0.499999999   -> '123456789' Inexact Rounded | 
 | 247 | addx208 add '123456789' 0.5           -> '123456790' Inexact Rounded | 
 | 248 | addx209 add '123456789' 0.500000001   -> '123456790' Inexact Rounded | 
 | 249 | addx210 add '123456789' 0.500001      -> '123456790' Inexact Rounded | 
 | 250 | addx211 add '123456789' 0.51          -> '123456790' Inexact Rounded | 
 | 251 | addx212 add '123456789' 0.6           -> '123456790' Inexact Rounded | 
 | 252 | addx213 add '123456789' 0.9           -> '123456790' Inexact Rounded | 
 | 253 | addx214 add '123456789' 0.99999       -> '123456790' Inexact Rounded | 
 | 254 | addx215 add '123456789' 0.999999999   -> '123456790' Inexact Rounded | 
 | 255 | addx216 add '123456789' 1             -> '123456790' | 
 | 256 | addx217 add '123456789' 1.000000001   -> '123456790' Inexact Rounded | 
 | 257 | addx218 add '123456789' 1.00001       -> '123456790' Inexact Rounded | 
 | 258 | addx219 add '123456789' 1.1           -> '123456790' Inexact Rounded | 
 | 259 |  | 
 | 260 | rounding: half_even | 
 | 261 | addx220 add '123456789' 0             -> '123456789' | 
 | 262 | addx221 add '123456789' 0.000000001   -> '123456789' Inexact Rounded | 
 | 263 | addx222 add '123456789' 0.000001      -> '123456789' Inexact Rounded | 
 | 264 | addx223 add '123456789' 0.1           -> '123456789' Inexact Rounded | 
 | 265 | addx224 add '123456789' 0.4           -> '123456789' Inexact Rounded | 
 | 266 | addx225 add '123456789' 0.49          -> '123456789' Inexact Rounded | 
 | 267 | addx226 add '123456789' 0.499999      -> '123456789' Inexact Rounded | 
 | 268 | addx227 add '123456789' 0.499999999   -> '123456789' Inexact Rounded | 
 | 269 | addx228 add '123456789' 0.5           -> '123456790' Inexact Rounded | 
 | 270 | addx229 add '123456789' 0.500000001   -> '123456790' Inexact Rounded | 
 | 271 | addx230 add '123456789' 0.500001      -> '123456790' Inexact Rounded | 
 | 272 | addx231 add '123456789' 0.51          -> '123456790' Inexact Rounded | 
 | 273 | addx232 add '123456789' 0.6           -> '123456790' Inexact Rounded | 
 | 274 | addx233 add '123456789' 0.9           -> '123456790' Inexact Rounded | 
 | 275 | addx234 add '123456789' 0.99999       -> '123456790' Inexact Rounded | 
 | 276 | addx235 add '123456789' 0.999999999   -> '123456790' Inexact Rounded | 
 | 277 | addx236 add '123456789' 1             -> '123456790' | 
 | 278 | addx237 add '123456789' 1.00000001    -> '123456790' Inexact Rounded | 
 | 279 | addx238 add '123456789' 1.00001       -> '123456790' Inexact Rounded | 
 | 280 | addx239 add '123456789' 1.1           -> '123456790' Inexact Rounded | 
 | 281 | -- critical few with even bottom digit... | 
 | 282 | addx240 add '123456788' 0.499999999   -> '123456788' Inexact Rounded | 
 | 283 | addx241 add '123456788' 0.5           -> '123456788' Inexact Rounded | 
 | 284 | addx242 add '123456788' 0.500000001   -> '123456789' Inexact Rounded | 
 | 285 |  | 
 | 286 | rounding: down | 
 | 287 | addx250 add '123456789' 0             -> '123456789' | 
 | 288 | addx251 add '123456789' 0.000000001   -> '123456789' Inexact Rounded | 
 | 289 | addx252 add '123456789' 0.000001      -> '123456789' Inexact Rounded | 
 | 290 | addx253 add '123456789' 0.1           -> '123456789' Inexact Rounded | 
 | 291 | addx254 add '123456789' 0.4           -> '123456789' Inexact Rounded | 
 | 292 | addx255 add '123456789' 0.49          -> '123456789' Inexact Rounded | 
 | 293 | addx256 add '123456789' 0.499999      -> '123456789' Inexact Rounded | 
 | 294 | addx257 add '123456789' 0.499999999   -> '123456789' Inexact Rounded | 
 | 295 | addx258 add '123456789' 0.5           -> '123456789' Inexact Rounded | 
 | 296 | addx259 add '123456789' 0.500000001   -> '123456789' Inexact Rounded | 
 | 297 | addx260 add '123456789' 0.500001      -> '123456789' Inexact Rounded | 
 | 298 | addx261 add '123456789' 0.51          -> '123456789' Inexact Rounded | 
 | 299 | addx262 add '123456789' 0.6           -> '123456789' Inexact Rounded | 
 | 300 | addx263 add '123456789' 0.9           -> '123456789' Inexact Rounded | 
 | 301 | addx264 add '123456789' 0.99999       -> '123456789' Inexact Rounded | 
 | 302 | addx265 add '123456789' 0.999999999   -> '123456789' Inexact Rounded | 
 | 303 | addx266 add '123456789' 1             -> '123456790' | 
 | 304 | addx267 add '123456789' 1.00000001    -> '123456790' Inexact Rounded | 
 | 305 | addx268 add '123456789' 1.00001       -> '123456790' Inexact Rounded | 
 | 306 | addx269 add '123456789' 1.1           -> '123456790' Inexact Rounded | 
 | 307 |  | 
 | 308 | -- input preparation tests (operands should not be rounded) | 
 | 309 | precision: 3 | 
 | 310 | rounding: half_up | 
 | 311 |  | 
 | 312 | addx270 add '12345678900000'  9999999999999 ->  '2.23E+13' Inexact Rounded | 
 | 313 | addx271 add  '9999999999999' 12345678900000 ->  '2.23E+13' Inexact Rounded | 
 | 314 |  | 
 | 315 | addx272 add '12E+3'  '3444'   ->  '1.54E+4' Inexact Rounded | 
 | 316 | addx273 add '12E+3'  '3446'   ->  '1.54E+4' Inexact Rounded | 
 | 317 | addx274 add '12E+3'  '3449.9' ->  '1.54E+4' Inexact Rounded | 
 | 318 | addx275 add '12E+3'  '3450.0' ->  '1.55E+4' Inexact Rounded | 
 | 319 | addx276 add '12E+3'  '3450.1' ->  '1.55E+4' Inexact Rounded | 
 | 320 | addx277 add '12E+3'  '3454'   ->  '1.55E+4' Inexact Rounded | 
 | 321 | addx278 add '12E+3'  '3456'   ->  '1.55E+4' Inexact Rounded | 
 | 322 |  | 
 | 323 | addx281 add '3444'   '12E+3'  ->  '1.54E+4' Inexact Rounded | 
 | 324 | addx282 add '3446'   '12E+3'  ->  '1.54E+4' Inexact Rounded | 
 | 325 | addx283 add '3449.9' '12E+3'  ->  '1.54E+4' Inexact Rounded | 
 | 326 | addx284 add '3450.0' '12E+3'  ->  '1.55E+4' Inexact Rounded | 
 | 327 | addx285 add '3450.1' '12E+3'  ->  '1.55E+4' Inexact Rounded | 
 | 328 | addx286 add '3454'   '12E+3'  ->  '1.55E+4' Inexact Rounded | 
 | 329 | addx287 add '3456'   '12E+3'  ->  '1.55E+4' Inexact Rounded | 
 | 330 |  | 
 | 331 | rounding: half_down | 
 | 332 | addx291 add '3444'   '12E+3'  ->  '1.54E+4' Inexact Rounded | 
 | 333 | addx292 add '3446'   '12E+3'  ->  '1.54E+4' Inexact Rounded | 
 | 334 | addx293 add '3449.9' '12E+3'  ->  '1.54E+4' Inexact Rounded | 
 | 335 | addx294 add '3450.0' '12E+3'  ->  '1.54E+4' Inexact Rounded | 
 | 336 | addx295 add '3450.1' '12E+3'  ->  '1.55E+4' Inexact Rounded | 
 | 337 | addx296 add '3454'   '12E+3'  ->  '1.55E+4' Inexact Rounded | 
 | 338 | addx297 add '3456'   '12E+3'  ->  '1.55E+4' Inexact Rounded | 
 | 339 |  | 
 | 340 | -- 1 in last place tests | 
 | 341 | rounding: half_up | 
 | 342 | addx301 add  -1   1      ->   0 | 
 | 343 | addx302 add   0   1      ->   1 | 
 | 344 | addx303 add   1   1      ->   2 | 
 | 345 | addx304 add  12   1      ->  13 | 
 | 346 | addx305 add  98   1      ->  99 | 
 | 347 | addx306 add  99   1      -> 100 | 
 | 348 | addx307 add 100   1      -> 101 | 
 | 349 | addx308 add 101   1      -> 102 | 
 | 350 | addx309 add  -1  -1      ->  -2 | 
 | 351 | addx310 add   0  -1      ->  -1 | 
 | 352 | addx311 add   1  -1      ->   0 | 
 | 353 | addx312 add  12  -1      ->  11 | 
 | 354 | addx313 add  98  -1      ->  97 | 
 | 355 | addx314 add  99  -1      ->  98 | 
 | 356 | addx315 add 100  -1      ->  99 | 
 | 357 | addx316 add 101  -1      -> 100 | 
 | 358 |  | 
 | 359 | addx321 add -0.01  0.01    ->  0.00 | 
 | 360 | addx322 add  0.00  0.01    ->  0.01 | 
 | 361 | addx323 add  0.01  0.01    ->  0.02 | 
 | 362 | addx324 add  0.12  0.01    ->  0.13 | 
 | 363 | addx325 add  0.98  0.01    ->  0.99 | 
 | 364 | addx326 add  0.99  0.01    ->  1.00 | 
 | 365 | addx327 add  1.00  0.01    ->  1.01 | 
 | 366 | addx328 add  1.01  0.01    ->  1.02 | 
 | 367 | addx329 add -0.01 -0.01    -> -0.02 | 
 | 368 | addx330 add  0.00 -0.01    -> -0.01 | 
 | 369 | addx331 add  0.01 -0.01    ->  0.00 | 
 | 370 | addx332 add  0.12 -0.01    ->  0.11 | 
 | 371 | addx333 add  0.98 -0.01    ->  0.97 | 
 | 372 | addx334 add  0.99 -0.01    ->  0.98 | 
 | 373 | addx335 add  1.00 -0.01    ->  0.99 | 
 | 374 | addx336 add  1.01 -0.01    ->  1.00 | 
 | 375 |  | 
 | 376 | -- some more cases where adding 0 affects the coefficient | 
 | 377 | precision: 9 | 
 | 378 | addx340 add 1E+3    0    ->         1000 | 
 | 379 | addx341 add 1E+8    0    ->    100000000 | 
 | 380 | addx342 add 1E+9    0    ->   1.00000000E+9   Rounded | 
 | 381 | addx343 add 1E+10   0    ->   1.00000000E+10  Rounded | 
 | 382 | -- which simply follow from these cases ... | 
 | 383 | addx344 add 1E+3    1    ->         1001 | 
 | 384 | addx345 add 1E+8    1    ->    100000001 | 
 | 385 | addx346 add 1E+9    1    ->   1.00000000E+9   Inexact Rounded | 
 | 386 | addx347 add 1E+10   1    ->   1.00000000E+10  Inexact Rounded | 
 | 387 | addx348 add 1E+3    7    ->         1007 | 
 | 388 | addx349 add 1E+8    7    ->    100000007 | 
 | 389 | addx350 add 1E+9    7    ->   1.00000001E+9   Inexact Rounded | 
 | 390 | addx351 add 1E+10   7    ->   1.00000000E+10  Inexact Rounded | 
 | 391 |  | 
 | 392 | -- tryzeros cases | 
 | 393 | precision:   7 | 
 | 394 | rounding:    half_up | 
 | 395 | maxExponent: 92 | 
 | 396 | minexponent: -92 | 
 | 397 | addx361  add 0E+50 10000E+1  -> 1.0000E+5 | 
 | 398 | addx362  add 10000E+1 0E-50  -> 100000.0  Rounded | 
 | 399 | addx363  add 10000E+1 10000E-50  -> 100000.0  Rounded Inexact | 
| Facundo Batista | 353750c | 2007-09-13 18:13:15 +0000 | [diff] [blame] | 400 | addx364  add 9.999999E+92 -9.999999E+92 -> 0E+86 | 
| Raymond Hettinger | 7c85fa4 | 2004-07-01 11:01:35 +0000 | [diff] [blame] | 401 |  | 
 | 402 | -- a curiosity from JSR 13 testing | 
 | 403 | rounding:    half_down | 
 | 404 | precision:   10 | 
 | 405 | addx370 add 99999999 81512 -> 100081511 | 
 | 406 | precision:      6 | 
 | 407 | addx371 add 99999999 81512 -> 1.00082E+8 Rounded Inexact | 
 | 408 | rounding:    half_up | 
 | 409 | precision:   10 | 
 | 410 | addx372 add 99999999 81512 -> 100081511 | 
 | 411 | precision:      6 | 
 | 412 | addx373 add 99999999 81512 -> 1.00082E+8 Rounded Inexact | 
 | 413 | rounding:    half_even | 
 | 414 | precision:   10 | 
 | 415 | addx374 add 99999999 81512 -> 100081511 | 
 | 416 | precision:      6 | 
 | 417 | addx375 add 99999999 81512 -> 1.00082E+8 Rounded Inexact | 
 | 418 |  | 
 | 419 | -- ulp replacement tests | 
 | 420 | precision: 9 | 
 | 421 | maxexponent: 999999999 | 
 | 422 | minexponent: -999999999 | 
 | 423 | addx400 add   1   77e-7       ->  1.0000077 | 
 | 424 | addx401 add   1   77e-8       ->  1.00000077 | 
 | 425 | addx402 add   1   77e-9       ->  1.00000008 Inexact Rounded | 
 | 426 | addx403 add   1   77e-10      ->  1.00000001 Inexact Rounded | 
 | 427 | addx404 add   1   77e-11      ->  1.00000000 Inexact Rounded | 
 | 428 | addx405 add   1   77e-12      ->  1.00000000 Inexact Rounded | 
 | 429 | addx406 add   1   77e-999     ->  1.00000000 Inexact Rounded | 
 | 430 | addx407 add   1   77e-9999999 ->  1.00000000 Inexact Rounded | 
 | 431 |  | 
 | 432 | addx410 add  10   77e-7       ->  10.0000077 | 
 | 433 | addx411 add  10   77e-8       ->  10.0000008 Inexact Rounded | 
 | 434 | addx412 add  10   77e-9       ->  10.0000001 Inexact Rounded | 
 | 435 | addx413 add  10   77e-10      ->  10.0000000 Inexact Rounded | 
 | 436 | addx414 add  10   77e-11      ->  10.0000000 Inexact Rounded | 
 | 437 | addx415 add  10   77e-12      ->  10.0000000 Inexact Rounded | 
 | 438 | addx416 add  10   77e-999     ->  10.0000000 Inexact Rounded | 
 | 439 | addx417 add  10   77e-9999999 ->  10.0000000 Inexact Rounded | 
 | 440 |  | 
 | 441 | addx420 add  77e-7        1   ->  1.0000077 | 
 | 442 | addx421 add  77e-8        1   ->  1.00000077 | 
 | 443 | addx422 add  77e-9        1   ->  1.00000008 Inexact Rounded | 
 | 444 | addx423 add  77e-10       1   ->  1.00000001 Inexact Rounded | 
 | 445 | addx424 add  77e-11       1   ->  1.00000000 Inexact Rounded | 
 | 446 | addx425 add  77e-12       1   ->  1.00000000 Inexact Rounded | 
 | 447 | addx426 add  77e-999      1   ->  1.00000000 Inexact Rounded | 
 | 448 | addx427 add  77e-9999999  1   ->  1.00000000 Inexact Rounded | 
 | 449 |  | 
 | 450 | addx430 add  77e-7       10   ->  10.0000077 | 
 | 451 | addx431 add  77e-8       10   ->  10.0000008 Inexact Rounded | 
 | 452 | addx432 add  77e-9       10   ->  10.0000001 Inexact Rounded | 
 | 453 | addx433 add  77e-10      10   ->  10.0000000 Inexact Rounded | 
 | 454 | addx434 add  77e-11      10   ->  10.0000000 Inexact Rounded | 
 | 455 | addx435 add  77e-12      10   ->  10.0000000 Inexact Rounded | 
 | 456 | addx436 add  77e-999     10   ->  10.0000000 Inexact Rounded | 
 | 457 | addx437 add  77e-9999999 10   ->  10.0000000 Inexact Rounded | 
 | 458 |  | 
 | 459 | -- negative ulps | 
 | 460 | addx440 add   1   -77e-7       ->  0.9999923 | 
 | 461 | addx441 add   1   -77e-8       ->  0.99999923 | 
 | 462 | addx442 add   1   -77e-9       ->  0.999999923 | 
 | 463 | addx443 add   1   -77e-10      ->  0.999999992 Inexact Rounded | 
 | 464 | addx444 add   1   -77e-11      ->  0.999999999 Inexact Rounded | 
 | 465 | addx445 add   1   -77e-12      ->  1.00000000 Inexact Rounded | 
 | 466 | addx446 add   1   -77e-999     ->  1.00000000 Inexact Rounded | 
 | 467 | addx447 add   1   -77e-9999999 ->  1.00000000 Inexact Rounded | 
 | 468 |  | 
 | 469 | addx450 add  10   -77e-7       ->   9.9999923 | 
 | 470 | addx451 add  10   -77e-8       ->   9.99999923 | 
 | 471 | addx452 add  10   -77e-9       ->   9.99999992 Inexact Rounded | 
 | 472 | addx453 add  10   -77e-10      ->   9.99999999 Inexact Rounded | 
 | 473 | addx454 add  10   -77e-11      ->  10.0000000 Inexact Rounded | 
 | 474 | addx455 add  10   -77e-12      ->  10.0000000 Inexact Rounded | 
 | 475 | addx456 add  10   -77e-999     ->  10.0000000 Inexact Rounded | 
 | 476 | addx457 add  10   -77e-9999999 ->  10.0000000 Inexact Rounded | 
 | 477 |  | 
 | 478 | addx460 add  -77e-7        1   ->  0.9999923 | 
 | 479 | addx461 add  -77e-8        1   ->  0.99999923 | 
 | 480 | addx462 add  -77e-9        1   ->  0.999999923 | 
 | 481 | addx463 add  -77e-10       1   ->  0.999999992 Inexact Rounded | 
 | 482 | addx464 add  -77e-11       1   ->  0.999999999 Inexact Rounded | 
 | 483 | addx465 add  -77e-12       1   ->  1.00000000 Inexact Rounded | 
 | 484 | addx466 add  -77e-999      1   ->  1.00000000 Inexact Rounded | 
 | 485 | addx467 add  -77e-9999999  1   ->  1.00000000 Inexact Rounded | 
 | 486 |  | 
 | 487 | addx470 add  -77e-7       10   ->   9.9999923 | 
 | 488 | addx471 add  -77e-8       10   ->   9.99999923 | 
 | 489 | addx472 add  -77e-9       10   ->   9.99999992 Inexact Rounded | 
 | 490 | addx473 add  -77e-10      10   ->   9.99999999 Inexact Rounded | 
 | 491 | addx474 add  -77e-11      10   ->  10.0000000 Inexact Rounded | 
 | 492 | addx475 add  -77e-12      10   ->  10.0000000 Inexact Rounded | 
 | 493 | addx476 add  -77e-999     10   ->  10.0000000 Inexact Rounded | 
 | 494 | addx477 add  -77e-9999999 10   ->  10.0000000 Inexact Rounded | 
 | 495 |  | 
 | 496 | -- negative ulps | 
 | 497 | addx480 add  -1    77e-7       ->  -0.9999923 | 
 | 498 | addx481 add  -1    77e-8       ->  -0.99999923 | 
 | 499 | addx482 add  -1    77e-9       ->  -0.999999923 | 
 | 500 | addx483 add  -1    77e-10      ->  -0.999999992 Inexact Rounded | 
 | 501 | addx484 add  -1    77e-11      ->  -0.999999999 Inexact Rounded | 
 | 502 | addx485 add  -1    77e-12      ->  -1.00000000 Inexact Rounded | 
 | 503 | addx486 add  -1    77e-999     ->  -1.00000000 Inexact Rounded | 
 | 504 | addx487 add  -1    77e-9999999 ->  -1.00000000 Inexact Rounded | 
 | 505 |  | 
 | 506 | addx490 add -10    77e-7       ->   -9.9999923 | 
 | 507 | addx491 add -10    77e-8       ->   -9.99999923 | 
 | 508 | addx492 add -10    77e-9       ->   -9.99999992 Inexact Rounded | 
 | 509 | addx493 add -10    77e-10      ->   -9.99999999 Inexact Rounded | 
 | 510 | addx494 add -10    77e-11      ->  -10.0000000 Inexact Rounded | 
 | 511 | addx495 add -10    77e-12      ->  -10.0000000 Inexact Rounded | 
 | 512 | addx496 add -10    77e-999     ->  -10.0000000 Inexact Rounded | 
 | 513 | addx497 add -10    77e-9999999 ->  -10.0000000 Inexact Rounded | 
 | 514 |  | 
 | 515 | addx500 add   77e-7       -1   ->  -0.9999923 | 
 | 516 | addx501 add   77e-8       -1   ->  -0.99999923 | 
 | 517 | addx502 add   77e-9       -1   ->  -0.999999923 | 
 | 518 | addx503 add   77e-10      -1   ->  -0.999999992 Inexact Rounded | 
 | 519 | addx504 add   77e-11      -1   ->  -0.999999999 Inexact Rounded | 
 | 520 | addx505 add   77e-12      -1   ->  -1.00000000 Inexact Rounded | 
 | 521 | addx506 add   77e-999     -1   ->  -1.00000000 Inexact Rounded | 
 | 522 | addx507 add   77e-9999999 -1   ->  -1.00000000 Inexact Rounded | 
 | 523 |  | 
 | 524 | addx510 add   77e-7       -10  ->   -9.9999923 | 
 | 525 | addx511 add   77e-8       -10  ->   -9.99999923 | 
 | 526 | addx512 add   77e-9       -10  ->   -9.99999992 Inexact Rounded | 
 | 527 | addx513 add   77e-10      -10  ->   -9.99999999 Inexact Rounded | 
 | 528 | addx514 add   77e-11      -10  ->  -10.0000000 Inexact Rounded | 
 | 529 | addx515 add   77e-12      -10  ->  -10.0000000 Inexact Rounded | 
 | 530 | addx516 add   77e-999     -10  ->  -10.0000000 Inexact Rounded | 
 | 531 | addx517 add   77e-9999999 -10  ->  -10.0000000 Inexact Rounded | 
 | 532 |  | 
 | 533 |  | 
 | 534 | -- long operands | 
 | 535 | maxexponent: 999 | 
 | 536 | minexponent: -999 | 
 | 537 | precision: 9 | 
 | 538 | addx521 add 12345678000 0 -> 1.23456780E+10 Rounded | 
 | 539 | addx522 add 0 12345678000 -> 1.23456780E+10 Rounded | 
 | 540 | addx523 add 1234567800  0 -> 1.23456780E+9 Rounded | 
 | 541 | addx524 add 0 1234567800  -> 1.23456780E+9 Rounded | 
 | 542 | addx525 add 1234567890  0 -> 1.23456789E+9 Rounded | 
 | 543 | addx526 add 0 1234567890  -> 1.23456789E+9 Rounded | 
 | 544 | addx527 add 1234567891  0 -> 1.23456789E+9 Inexact Rounded | 
 | 545 | addx528 add 0 1234567891  -> 1.23456789E+9 Inexact Rounded | 
 | 546 | addx529 add 12345678901 0 -> 1.23456789E+10 Inexact Rounded | 
 | 547 | addx530 add 0 12345678901 -> 1.23456789E+10 Inexact Rounded | 
 | 548 | addx531 add 1234567896  0 -> 1.23456790E+9 Inexact Rounded | 
 | 549 | addx532 add 0 1234567896  -> 1.23456790E+9 Inexact Rounded | 
 | 550 |  | 
 | 551 | precision: 15 | 
 | 552 | -- still checking | 
 | 553 | addx541 add 12345678000 0 -> 12345678000 | 
 | 554 | addx542 add 0 12345678000 -> 12345678000 | 
 | 555 | addx543 add 1234567800  0 -> 1234567800 | 
 | 556 | addx544 add 0 1234567800  -> 1234567800 | 
 | 557 | addx545 add 1234567890  0 -> 1234567890 | 
 | 558 | addx546 add 0 1234567890  -> 1234567890 | 
 | 559 | addx547 add 1234567891  0 -> 1234567891 | 
 | 560 | addx548 add 0 1234567891  -> 1234567891 | 
 | 561 | addx549 add 12345678901 0 -> 12345678901 | 
 | 562 | addx550 add 0 12345678901 -> 12345678901 | 
 | 563 | addx551 add 1234567896  0 -> 1234567896 | 
 | 564 | addx552 add 0 1234567896  -> 1234567896 | 
 | 565 |  | 
 | 566 | -- verify a query | 
 | 567 | precision:    16 | 
 | 568 | maxExponent: +394 | 
 | 569 | minExponent: -393 | 
 | 570 | rounding:     down | 
 | 571 | addx561 add 1e-398 9.000000000000000E+384 -> 9.000000000000000E+384 Inexact Rounded | 
 | 572 | addx562 add      0 9.000000000000000E+384 -> 9.000000000000000E+384 Rounded | 
| Facundo Batista | 353750c | 2007-09-13 18:13:15 +0000 | [diff] [blame] | 573 | -- and using decimal64 bounds (see also ddadd.decTest) | 
| Raymond Hettinger | 7c85fa4 | 2004-07-01 11:01:35 +0000 | [diff] [blame] | 574 | precision:    16 | 
 | 575 | maxExponent: +384 | 
 | 576 | minExponent: -383 | 
 | 577 | rounding:     down | 
 | 578 | addx563 add 1e-388 9.000000000000000E+374 -> 9.000000000000000E+374 Inexact Rounded | 
 | 579 | addx564 add      0 9.000000000000000E+374 -> 9.000000000000000E+374 Rounded | 
 | 580 |  | 
| Facundo Batista | 353750c | 2007-09-13 18:13:15 +0000 | [diff] [blame] | 581 |  | 
| Raymond Hettinger | 7c85fa4 | 2004-07-01 11:01:35 +0000 | [diff] [blame] | 582 | -- some more residue effects with extreme rounding | 
 | 583 | precision:   9 | 
 | 584 | rounding: half_up | 
 | 585 | addx601 add 123456789  0.000001 -> 123456789 Inexact Rounded | 
 | 586 | rounding: half_even | 
 | 587 | addx602 add 123456789  0.000001 -> 123456789 Inexact Rounded | 
 | 588 | rounding: half_down | 
 | 589 | addx603 add 123456789  0.000001 -> 123456789 Inexact Rounded | 
 | 590 | rounding: floor | 
 | 591 | addx604 add 123456789  0.000001 -> 123456789 Inexact Rounded | 
 | 592 | rounding: ceiling | 
 | 593 | addx605 add 123456789  0.000001 -> 123456790 Inexact Rounded | 
 | 594 | rounding: up | 
 | 595 | addx606 add 123456789  0.000001 -> 123456790 Inexact Rounded | 
 | 596 | rounding: down | 
 | 597 | addx607 add 123456789  0.000001 -> 123456789 Inexact Rounded | 
 | 598 |  | 
 | 599 | rounding: half_up | 
 | 600 | addx611 add 123456789 -0.000001 -> 123456789 Inexact Rounded | 
 | 601 | rounding: half_even | 
 | 602 | addx612 add 123456789 -0.000001 -> 123456789 Inexact Rounded | 
 | 603 | rounding: half_down | 
 | 604 | addx613 add 123456789 -0.000001 -> 123456789 Inexact Rounded | 
 | 605 | rounding: floor | 
 | 606 | addx614 add 123456789 -0.000001 -> 123456788 Inexact Rounded | 
 | 607 | rounding: ceiling | 
 | 608 | addx615 add 123456789 -0.000001 -> 123456789 Inexact Rounded | 
 | 609 | rounding: up | 
 | 610 | addx616 add 123456789 -0.000001 -> 123456789 Inexact Rounded | 
 | 611 | rounding: down | 
 | 612 | addx617 add 123456789 -0.000001 -> 123456788 Inexact Rounded | 
 | 613 |  | 
 | 614 | rounding: half_up | 
 | 615 | addx621 add 123456789  0.499999 -> 123456789 Inexact Rounded | 
 | 616 | rounding: half_even | 
 | 617 | addx622 add 123456789  0.499999 -> 123456789 Inexact Rounded | 
 | 618 | rounding: half_down | 
 | 619 | addx623 add 123456789  0.499999 -> 123456789 Inexact Rounded | 
 | 620 | rounding: floor | 
 | 621 | addx624 add 123456789  0.499999 -> 123456789 Inexact Rounded | 
 | 622 | rounding: ceiling | 
 | 623 | addx625 add 123456789  0.499999 -> 123456790 Inexact Rounded | 
 | 624 | rounding: up | 
 | 625 | addx626 add 123456789  0.499999 -> 123456790 Inexact Rounded | 
 | 626 | rounding: down | 
 | 627 | addx627 add 123456789  0.499999 -> 123456789 Inexact Rounded | 
 | 628 |  | 
 | 629 | rounding: half_up | 
 | 630 | addx631 add 123456789 -0.499999 -> 123456789 Inexact Rounded | 
 | 631 | rounding: half_even | 
 | 632 | addx632 add 123456789 -0.499999 -> 123456789 Inexact Rounded | 
 | 633 | rounding: half_down | 
 | 634 | addx633 add 123456789 -0.499999 -> 123456789 Inexact Rounded | 
 | 635 | rounding: floor | 
 | 636 | addx634 add 123456789 -0.499999 -> 123456788 Inexact Rounded | 
 | 637 | rounding: ceiling | 
 | 638 | addx635 add 123456789 -0.499999 -> 123456789 Inexact Rounded | 
 | 639 | rounding: up | 
 | 640 | addx636 add 123456789 -0.499999 -> 123456789 Inexact Rounded | 
 | 641 | rounding: down | 
 | 642 | addx637 add 123456789 -0.499999 -> 123456788 Inexact Rounded | 
 | 643 |  | 
 | 644 | rounding: half_up | 
 | 645 | addx641 add 123456789  0.500001 -> 123456790 Inexact Rounded | 
 | 646 | rounding: half_even | 
 | 647 | addx642 add 123456789  0.500001 -> 123456790 Inexact Rounded | 
 | 648 | rounding: half_down | 
 | 649 | addx643 add 123456789  0.500001 -> 123456790 Inexact Rounded | 
 | 650 | rounding: floor | 
 | 651 | addx644 add 123456789  0.500001 -> 123456789 Inexact Rounded | 
 | 652 | rounding: ceiling | 
 | 653 | addx645 add 123456789  0.500001 -> 123456790 Inexact Rounded | 
 | 654 | rounding: up | 
 | 655 | addx646 add 123456789  0.500001 -> 123456790 Inexact Rounded | 
 | 656 | rounding: down | 
 | 657 | addx647 add 123456789  0.500001 -> 123456789 Inexact Rounded | 
 | 658 |  | 
 | 659 | rounding: half_up | 
 | 660 | addx651 add 123456789 -0.500001 -> 123456788 Inexact Rounded | 
 | 661 | rounding: half_even | 
 | 662 | addx652 add 123456789 -0.500001 -> 123456788 Inexact Rounded | 
 | 663 | rounding: half_down | 
 | 664 | addx653 add 123456789 -0.500001 -> 123456788 Inexact Rounded | 
 | 665 | rounding: floor | 
 | 666 | addx654 add 123456789 -0.500001 -> 123456788 Inexact Rounded | 
 | 667 | rounding: ceiling | 
 | 668 | addx655 add 123456789 -0.500001 -> 123456789 Inexact Rounded | 
 | 669 | rounding: up | 
 | 670 | addx656 add 123456789 -0.500001 -> 123456789 Inexact Rounded | 
 | 671 | rounding: down | 
 | 672 | addx657 add 123456789 -0.500001 -> 123456788 Inexact Rounded | 
 | 673 |  | 
 | 674 | -- long operand triangle | 
 | 675 | rounding: half_up | 
 | 676 | precision:  37 | 
 | 677 | addx660 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337114834538 | 
 | 678 | precision:  36 | 
 | 679 | addx661 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711483454  Inexact Rounded | 
 | 680 | precision:  35 | 
 | 681 | addx662 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371148345   Inexact Rounded | 
 | 682 | precision:  34 | 
 | 683 | addx663 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337114835    Inexact Rounded | 
 | 684 | precision:  33 | 
 | 685 | addx664 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711483     Inexact Rounded | 
 | 686 | precision:  32 | 
 | 687 | addx665 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371148      Inexact Rounded | 
 | 688 | precision:  31 | 
 | 689 | addx666 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337115       Inexact Rounded | 
 | 690 | precision:  30 | 
 | 691 | addx667 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711        Inexact Rounded | 
 | 692 | precision:  29 | 
 | 693 | addx668 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371         Inexact Rounded | 
 | 694 | precision:  28 | 
 | 695 | addx669 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337          Inexact Rounded | 
 | 696 | precision:  27 | 
 | 697 | addx670 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892234           Inexact Rounded | 
 | 698 | precision:  26 | 
 | 699 | addx671 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223            Inexact Rounded | 
 | 700 | precision:  25 | 
 | 701 | addx672 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922             Inexact Rounded | 
 | 702 | precision:  24 | 
 | 703 | addx673 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892              Inexact Rounded | 
 | 704 | precision:  23 | 
 | 705 | addx674 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389               Inexact Rounded | 
 | 706 | precision:  22 | 
 | 707 | addx675 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023639                Inexact Rounded | 
 | 708 | precision:  21 | 
 | 709 | addx676 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102364                 Inexact Rounded | 
 | 710 | precision:  20 | 
 | 711 | addx677 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236                  Inexact Rounded | 
 | 712 | precision:  19 | 
 | 713 | addx678 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211024                   Inexact Rounded | 
 | 714 | precision:  18 | 
 | 715 | addx679 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102                    Inexact Rounded | 
 | 716 | precision:  17 | 
 | 717 | addx680 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110                     Inexact Rounded | 
 | 718 | precision:  16 | 
 | 719 | addx681 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211                      Inexact Rounded | 
 | 720 | precision:  15 | 
 | 721 | addx682 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221                       Inexact Rounded | 
 | 722 | precision:  14 | 
 | 723 | addx683 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422                        Inexact Rounded | 
 | 724 | precision:  13 | 
 | 725 | addx684 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42                         Inexact Rounded | 
 | 726 | precision:  12 | 
 | 727 | addx685 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4                          Inexact Rounded | 
 | 728 | precision:  11 | 
 | 729 | addx686 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166                            Inexact Rounded | 
 | 730 | precision:  10 | 
 | 731 | addx687 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847117417E+10                        Inexact Rounded | 
 | 732 | precision:   9 | 
 | 733 | addx688 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.84711742E+10                         Inexact Rounded | 
 | 734 | precision:   8 | 
 | 735 | addx689 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8471174E+10                          Inexact Rounded | 
 | 736 | precision:   7 | 
 | 737 | addx690 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847117E+10                          Inexact Rounded | 
 | 738 | precision:   6 | 
 | 739 | addx691 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.84712E+10                          Inexact Rounded | 
 | 740 | precision:   5 | 
 | 741 | addx692 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8471E+10                          Inexact Rounded | 
 | 742 | precision:   4 | 
 | 743 | addx693 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847E+10                          Inexact Rounded | 
 | 744 | precision:   3 | 
 | 745 | addx694 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.85E+10                          Inexact Rounded | 
 | 746 | precision:   2 | 
 | 747 | addx695 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8E+10                          Inexact Rounded | 
 | 748 | precision:   1 | 
 | 749 | addx696 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 1E+11                          Inexact Rounded | 
 | 750 |  | 
 | 751 | -- more zeros, etc. | 
 | 752 | rounding: half_up | 
 | 753 | precision:   9 | 
 | 754 |  | 
 | 755 | addx701 add 5.00 1.00E-3 -> 5.00100 | 
 | 756 | addx702 add 00.00 0.000  -> 0.000 | 
 | 757 | addx703 add 00.00 0E-3   -> 0.000 | 
 | 758 | addx704 add 0E-3  00.00  -> 0.000 | 
 | 759 |  | 
 | 760 | addx710 add 0E+3  00.00  -> 0.00 | 
 | 761 | addx711 add 0E+3  00.0   -> 0.0 | 
 | 762 | addx712 add 0E+3  00.    -> 0 | 
 | 763 | addx713 add 0E+3  00.E+1 -> 0E+1 | 
 | 764 | addx714 add 0E+3  00.E+2 -> 0E+2 | 
 | 765 | addx715 add 0E+3  00.E+3 -> 0E+3 | 
 | 766 | addx716 add 0E+3  00.E+4 -> 0E+3 | 
 | 767 | addx717 add 0E+3  00.E+5 -> 0E+3 | 
 | 768 | addx718 add 0E+3  -00.0   -> 0.0 | 
 | 769 | addx719 add 0E+3  -00.    -> 0 | 
 | 770 | addx731 add 0E+3  -00.E+1 -> 0E+1 | 
 | 771 |  | 
 | 772 | addx720 add 00.00  0E+3  -> 0.00 | 
 | 773 | addx721 add 00.0   0E+3  -> 0.0 | 
 | 774 | addx722 add 00.    0E+3  -> 0 | 
 | 775 | addx723 add 00.E+1 0E+3  -> 0E+1 | 
 | 776 | addx724 add 00.E+2 0E+3  -> 0E+2 | 
 | 777 | addx725 add 00.E+3 0E+3  -> 0E+3 | 
 | 778 | addx726 add 00.E+4 0E+3  -> 0E+3 | 
 | 779 | addx727 add 00.E+5 0E+3  -> 0E+3 | 
 | 780 | addx728 add -00.00 0E+3  -> 0.00 | 
 | 781 | addx729 add -00.0  0E+3  -> 0.0 | 
 | 782 | addx730 add -00.   0E+3  -> 0 | 
 | 783 |  | 
 | 784 | addx732 add  0     0     ->  0 | 
 | 785 | addx733 add  0    -0     ->  0 | 
 | 786 | addx734 add -0     0     ->  0 | 
 | 787 | addx735 add -0    -0     -> -0     -- IEEE 854 special case | 
 | 788 |  | 
 | 789 | addx736 add  1    -1     ->  0 | 
 | 790 | addx737 add -1    -1     -> -2 | 
 | 791 | addx738 add  1     1     ->  2 | 
 | 792 | addx739 add -1     1     ->  0 | 
 | 793 |  | 
 | 794 | addx741 add  0    -1     -> -1 | 
 | 795 | addx742 add -0    -1     -> -1 | 
 | 796 | addx743 add  0     1     ->  1 | 
 | 797 | addx744 add -0     1     ->  1 | 
 | 798 | addx745 add -1     0     -> -1 | 
 | 799 | addx746 add -1    -0     -> -1 | 
 | 800 | addx747 add  1     0     ->  1 | 
 | 801 | addx748 add  1    -0     ->  1 | 
 | 802 |  | 
 | 803 | addx751 add  0.0  -1     -> -1.0 | 
 | 804 | addx752 add -0.0  -1     -> -1.0 | 
 | 805 | addx753 add  0.0   1     ->  1.0 | 
 | 806 | addx754 add -0.0   1     ->  1.0 | 
 | 807 | addx755 add -1.0   0     -> -1.0 | 
 | 808 | addx756 add -1.0  -0     -> -1.0 | 
 | 809 | addx757 add  1.0   0     ->  1.0 | 
 | 810 | addx758 add  1.0  -0     ->  1.0 | 
 | 811 |  | 
 | 812 | addx761 add  0    -1.0   -> -1.0 | 
 | 813 | addx762 add -0    -1.0   -> -1.0 | 
 | 814 | addx763 add  0     1.0   ->  1.0 | 
 | 815 | addx764 add -0     1.0   ->  1.0 | 
 | 816 | addx765 add -1     0.0   -> -1.0 | 
 | 817 | addx766 add -1    -0.0   -> -1.0 | 
 | 818 | addx767 add  1     0.0   ->  1.0 | 
 | 819 | addx768 add  1    -0.0   ->  1.0 | 
 | 820 |  | 
 | 821 | addx771 add  0.0  -1.0   -> -1.0 | 
 | 822 | addx772 add -0.0  -1.0   -> -1.0 | 
 | 823 | addx773 add  0.0   1.0   ->  1.0 | 
 | 824 | addx774 add -0.0   1.0   ->  1.0 | 
 | 825 | addx775 add -1.0   0.0   -> -1.0 | 
 | 826 | addx776 add -1.0  -0.0   -> -1.0 | 
 | 827 | addx777 add  1.0   0.0   ->  1.0 | 
 | 828 | addx778 add  1.0  -0.0   ->  1.0 | 
 | 829 |  | 
 | 830 | -- Specials | 
 | 831 | addx780 add -Inf  -Inf   -> -Infinity | 
 | 832 | addx781 add -Inf  -1000  -> -Infinity | 
 | 833 | addx782 add -Inf  -1     -> -Infinity | 
 | 834 | addx783 add -Inf  -0     -> -Infinity | 
 | 835 | addx784 add -Inf   0     -> -Infinity | 
 | 836 | addx785 add -Inf   1     -> -Infinity | 
 | 837 | addx786 add -Inf   1000  -> -Infinity | 
 | 838 | addx787 add -1000 -Inf   -> -Infinity | 
 | 839 | addx788 add -Inf  -Inf   -> -Infinity | 
 | 840 | addx789 add -1    -Inf   -> -Infinity | 
 | 841 | addx790 add -0    -Inf   -> -Infinity | 
 | 842 | addx791 add  0    -Inf   -> -Infinity | 
 | 843 | addx792 add  1    -Inf   -> -Infinity | 
 | 844 | addx793 add  1000 -Inf   -> -Infinity | 
 | 845 | addx794 add  Inf  -Inf   ->  NaN  Invalid_operation | 
 | 846 |  | 
 | 847 | addx800 add  Inf  -Inf   ->  NaN  Invalid_operation | 
 | 848 | addx801 add  Inf  -1000  ->  Infinity | 
 | 849 | addx802 add  Inf  -1     ->  Infinity | 
 | 850 | addx803 add  Inf  -0     ->  Infinity | 
 | 851 | addx804 add  Inf   0     ->  Infinity | 
 | 852 | addx805 add  Inf   1     ->  Infinity | 
 | 853 | addx806 add  Inf   1000  ->  Infinity | 
 | 854 | addx807 add  Inf   Inf   ->  Infinity | 
 | 855 | addx808 add -1000  Inf   ->  Infinity | 
 | 856 | addx809 add -Inf   Inf   ->  NaN  Invalid_operation | 
 | 857 | addx810 add -1     Inf   ->  Infinity | 
 | 858 | addx811 add -0     Inf   ->  Infinity | 
 | 859 | addx812 add  0     Inf   ->  Infinity | 
 | 860 | addx813 add  1     Inf   ->  Infinity | 
 | 861 | addx814 add  1000  Inf   ->  Infinity | 
 | 862 | addx815 add  Inf   Inf   ->  Infinity | 
 | 863 |  | 
 | 864 | addx821 add  NaN -Inf    ->  NaN | 
 | 865 | addx822 add  NaN -1000   ->  NaN | 
 | 866 | addx823 add  NaN -1      ->  NaN | 
 | 867 | addx824 add  NaN -0      ->  NaN | 
 | 868 | addx825 add  NaN  0      ->  NaN | 
 | 869 | addx826 add  NaN  1      ->  NaN | 
 | 870 | addx827 add  NaN  1000   ->  NaN | 
 | 871 | addx828 add  NaN  Inf    ->  NaN | 
 | 872 | addx829 add  NaN  NaN    ->  NaN | 
 | 873 | addx830 add -Inf  NaN    ->  NaN | 
 | 874 | addx831 add -1000 NaN    ->  NaN | 
 | 875 | addx832 add -1    NaN    ->  NaN | 
 | 876 | addx833 add -0    NaN    ->  NaN | 
 | 877 | addx834 add  0    NaN    ->  NaN | 
 | 878 | addx835 add  1    NaN    ->  NaN | 
 | 879 | addx836 add  1000 NaN    ->  NaN | 
 | 880 | addx837 add  Inf  NaN    ->  NaN | 
 | 881 |  | 
 | 882 | addx841 add  sNaN -Inf   ->  NaN  Invalid_operation | 
 | 883 | addx842 add  sNaN -1000  ->  NaN  Invalid_operation | 
 | 884 | addx843 add  sNaN -1     ->  NaN  Invalid_operation | 
 | 885 | addx844 add  sNaN -0     ->  NaN  Invalid_operation | 
 | 886 | addx845 add  sNaN  0     ->  NaN  Invalid_operation | 
 | 887 | addx846 add  sNaN  1     ->  NaN  Invalid_operation | 
 | 888 | addx847 add  sNaN  1000  ->  NaN  Invalid_operation | 
 | 889 | addx848 add  sNaN  NaN   ->  NaN  Invalid_operation | 
 | 890 | addx849 add  sNaN sNaN   ->  NaN  Invalid_operation | 
 | 891 | addx850 add  NaN  sNaN   ->  NaN  Invalid_operation | 
 | 892 | addx851 add -Inf  sNaN   ->  NaN  Invalid_operation | 
 | 893 | addx852 add -1000 sNaN   ->  NaN  Invalid_operation | 
 | 894 | addx853 add -1    sNaN   ->  NaN  Invalid_operation | 
 | 895 | addx854 add -0    sNaN   ->  NaN  Invalid_operation | 
 | 896 | addx855 add  0    sNaN   ->  NaN  Invalid_operation | 
 | 897 | addx856 add  1    sNaN   ->  NaN  Invalid_operation | 
 | 898 | addx857 add  1000 sNaN   ->  NaN  Invalid_operation | 
 | 899 | addx858 add  Inf  sNaN   ->  NaN  Invalid_operation | 
 | 900 | addx859 add  NaN  sNaN   ->  NaN  Invalid_operation | 
 | 901 |  | 
 | 902 | -- propagating NaNs | 
 | 903 | addx861 add  NaN1   -Inf    ->  NaN1 | 
 | 904 | addx862 add +NaN2   -1000   ->  NaN2 | 
 | 905 | addx863 add  NaN3    1000   ->  NaN3 | 
 | 906 | addx864 add  NaN4    Inf    ->  NaN4 | 
 | 907 | addx865 add  NaN5   +NaN6   ->  NaN5 | 
 | 908 | addx866 add -Inf     NaN7   ->  NaN7 | 
 | 909 | addx867 add -1000    NaN8   ->  NaN8 | 
 | 910 | addx868 add  1000    NaN9   ->  NaN9 | 
 | 911 | addx869 add  Inf    +NaN10  ->  NaN10 | 
 | 912 | addx871 add  sNaN11  -Inf   ->  NaN11  Invalid_operation | 
 | 913 | addx872 add  sNaN12  -1000  ->  NaN12  Invalid_operation | 
 | 914 | addx873 add  sNaN13   1000  ->  NaN13  Invalid_operation | 
 | 915 | addx874 add  sNaN14   NaN17 ->  NaN14  Invalid_operation | 
 | 916 | addx875 add  sNaN15  sNaN18 ->  NaN15  Invalid_operation | 
 | 917 | addx876 add  NaN16   sNaN19 ->  NaN19  Invalid_operation | 
 | 918 | addx877 add -Inf    +sNaN20 ->  NaN20  Invalid_operation | 
 | 919 | addx878 add -1000    sNaN21 ->  NaN21  Invalid_operation | 
 | 920 | addx879 add  1000    sNaN22 ->  NaN22  Invalid_operation | 
 | 921 | addx880 add  Inf     sNaN23 ->  NaN23  Invalid_operation | 
 | 922 | addx881 add +NaN25  +sNaN24 ->  NaN24  Invalid_operation | 
 | 923 | addx882 add -NaN26    NaN28 -> -NaN26 | 
 | 924 | addx883 add -sNaN27  sNaN29 -> -NaN27  Invalid_operation | 
 | 925 | addx884 add  1000    -NaN30 -> -NaN30 | 
 | 926 | addx885 add  1000   -sNaN31 -> -NaN31  Invalid_operation | 
 | 927 |  | 
 | 928 | -- overflow, underflow and subnormal tests | 
 | 929 | maxexponent: 999999999 | 
 | 930 | minexponent: -999999999 | 
 | 931 | precision: 9 | 
 | 932 | addx890 add 1E+999999999     9E+999999999   -> Infinity Overflow Inexact Rounded | 
 | 933 | addx891 add 9E+999999999     1E+999999999   -> Infinity Overflow Inexact Rounded | 
 | 934 | addx892 add -1.1E-999999999  1E-999999999   -> -1E-1000000000    Subnormal | 
 | 935 | addx893 add 1E-999999999    -1.1e-999999999 -> -1E-1000000000    Subnormal | 
 | 936 | addx894 add -1.0001E-999999999  1E-999999999   -> -1E-1000000003 Subnormal | 
 | 937 | addx895 add 1E-999999999    -1.0001e-999999999 -> -1E-1000000003 Subnormal | 
 | 938 | addx896 add -1E+999999999   -9E+999999999   -> -Infinity Overflow Inexact Rounded | 
 | 939 | addx897 add -9E+999999999   -1E+999999999   -> -Infinity Overflow Inexact Rounded | 
 | 940 | addx898 add +1.1E-999999999 -1E-999999999   -> 1E-1000000000    Subnormal | 
 | 941 | addx899 add -1E-999999999   +1.1e-999999999 -> 1E-1000000000    Subnormal | 
 | 942 | addx900 add +1.0001E-999999999 -1E-999999999   -> 1E-1000000003 Subnormal | 
 | 943 | addx901 add -1E-999999999   +1.0001e-999999999 -> 1E-1000000003 Subnormal | 
 | 944 | addx902 add -1E+999999999   +9E+999999999   ->  8E+999999999 | 
 | 945 | addx903 add -9E+999999999   +1E+999999999   -> -8E+999999999 | 
 | 946 |  | 
 | 947 | precision: 3 | 
 | 948 | addx904 add      0 -9.999E+999999999   -> -Infinity Inexact Overflow Rounded | 
 | 949 | addx905 add        -9.999E+999999999 0 -> -Infinity Inexact Overflow Rounded | 
 | 950 | addx906 add      0  9.999E+999999999   ->  Infinity Inexact Overflow Rounded | 
 | 951 | addx907 add         9.999E+999999999 0 ->  Infinity Inexact Overflow Rounded | 
 | 952 |  | 
 | 953 | precision: 3 | 
 | 954 | maxexponent: 999 | 
 | 955 | minexponent: -999 | 
 | 956 | addx910 add  1.00E-999   0    ->   1.00E-999 | 
 | 957 | addx911 add  0.1E-999    0    ->   1E-1000   Subnormal | 
 | 958 | addx912 add  0.10E-999   0    ->   1.0E-1000 Subnormal | 
 | 959 | addx913 add  0.100E-999  0    ->   1.0E-1000 Subnormal Rounded | 
 | 960 | addx914 add  0.01E-999   0    ->   1E-1001   Subnormal | 
| Facundo Batista | 353750c | 2007-09-13 18:13:15 +0000 | [diff] [blame] | 961 | -- next is rounded to Nmin | 
| Raymond Hettinger | 7c85fa4 | 2004-07-01 11:01:35 +0000 | [diff] [blame] | 962 | addx915 add  0.999E-999  0    ->   1.00E-999 Inexact Rounded Subnormal Underflow | 
 | 963 | addx916 add  0.099E-999  0    ->   1.0E-1000 Inexact Rounded Subnormal Underflow | 
 | 964 | addx917 add  0.009E-999  0    ->   1E-1001   Inexact Rounded Subnormal Underflow | 
| Facundo Batista | 353750c | 2007-09-13 18:13:15 +0000 | [diff] [blame] | 965 | addx918 add  0.001E-999  0    ->   0E-1001   Inexact Rounded Subnormal Underflow Clamped | 
 | 966 | addx919 add  0.0009E-999 0    ->   0E-1001   Inexact Rounded Subnormal Underflow Clamped | 
 | 967 | addx920 add  0.0001E-999 0    ->   0E-1001   Inexact Rounded Subnormal Underflow Clamped | 
| Raymond Hettinger | 7c85fa4 | 2004-07-01 11:01:35 +0000 | [diff] [blame] | 968 |  | 
 | 969 | addx930 add -1.00E-999   0    ->  -1.00E-999 | 
 | 970 | addx931 add -0.1E-999    0    ->  -1E-1000   Subnormal | 
 | 971 | addx932 add -0.10E-999   0    ->  -1.0E-1000 Subnormal | 
 | 972 | addx933 add -0.100E-999  0    ->  -1.0E-1000 Subnormal Rounded | 
 | 973 | addx934 add -0.01E-999   0    ->  -1E-1001   Subnormal | 
| Facundo Batista | 353750c | 2007-09-13 18:13:15 +0000 | [diff] [blame] | 974 | -- next is rounded to Nmin | 
| Raymond Hettinger | 7c85fa4 | 2004-07-01 11:01:35 +0000 | [diff] [blame] | 975 | addx935 add -0.999E-999  0    ->  -1.00E-999 Inexact Rounded Subnormal Underflow | 
 | 976 | addx936 add -0.099E-999  0    ->  -1.0E-1000 Inexact Rounded Subnormal Underflow | 
 | 977 | addx937 add -0.009E-999  0    ->  -1E-1001   Inexact Rounded Subnormal Underflow | 
| Facundo Batista | 353750c | 2007-09-13 18:13:15 +0000 | [diff] [blame] | 978 | addx938 add -0.001E-999  0    ->  -0E-1001   Inexact Rounded Subnormal Underflow Clamped | 
 | 979 | addx939 add -0.0009E-999 0    ->  -0E-1001   Inexact Rounded Subnormal Underflow Clamped | 
 | 980 | addx940 add -0.0001E-999 0    ->  -0E-1001   Inexact Rounded Subnormal Underflow Clamped | 
| Raymond Hettinger | 7c85fa4 | 2004-07-01 11:01:35 +0000 | [diff] [blame] | 981 |  | 
 | 982 | -- some non-zero subnormal adds | 
 | 983 | addx950 add  1.00E-999    0.1E-999  ->   1.10E-999 | 
 | 984 | addx951 add  0.1E-999     0.1E-999  ->   2E-1000    Subnormal | 
 | 985 | addx952 add  0.10E-999    0.1E-999  ->   2.0E-1000  Subnormal | 
 | 986 | addx953 add  0.100E-999   0.1E-999  ->   2.0E-1000  Subnormal Rounded | 
 | 987 | addx954 add  0.01E-999    0.1E-999  ->   1.1E-1000  Subnormal | 
 | 988 | addx955 add  0.999E-999   0.1E-999  ->   1.10E-999  Inexact Rounded | 
 | 989 | addx956 add  0.099E-999   0.1E-999  ->   2.0E-1000  Inexact Rounded Subnormal Underflow | 
 | 990 | addx957 add  0.009E-999   0.1E-999  ->   1.1E-1000  Inexact Rounded Subnormal Underflow | 
 | 991 | addx958 add  0.001E-999   0.1E-999  ->   1.0E-1000  Inexact Rounded Subnormal Underflow | 
 | 992 | addx959 add  0.0009E-999  0.1E-999  ->   1.0E-1000  Inexact Rounded Subnormal Underflow | 
 | 993 | addx960 add  0.0001E-999  0.1E-999  ->   1.0E-1000  Inexact Rounded Subnormal Underflow | 
 | 994 | -- negatives... | 
 | 995 | addx961 add  1.00E-999   -0.1E-999  ->   9.0E-1000  Subnormal | 
 | 996 | addx962 add  0.1E-999    -0.1E-999  ->   0E-1000 | 
 | 997 | addx963 add  0.10E-999   -0.1E-999  ->   0E-1001 | 
 | 998 | addx964 add  0.100E-999  -0.1E-999  ->   0E-1001    Clamped | 
 | 999 | addx965 add  0.01E-999   -0.1E-999  ->   -9E-1001   Subnormal | 
 | 1000 | addx966 add  0.999E-999  -0.1E-999  ->   9.0E-1000  Inexact Rounded Subnormal Underflow | 
| Facundo Batista | 353750c | 2007-09-13 18:13:15 +0000 | [diff] [blame] | 1001 | addx967 add  0.099E-999  -0.1E-999  ->   -0E-1001   Inexact Rounded Subnormal Underflow Clamped | 
| Raymond Hettinger | 7c85fa4 | 2004-07-01 11:01:35 +0000 | [diff] [blame] | 1002 | addx968 add  0.009E-999  -0.1E-999  ->   -9E-1001   Inexact Rounded Subnormal Underflow | 
 | 1003 | addx969 add  0.001E-999  -0.1E-999  ->   -1.0E-1000 Inexact Rounded Subnormal Underflow | 
 | 1004 | addx970 add  0.0009E-999 -0.1E-999  ->   -1.0E-1000 Inexact Rounded Subnormal Underflow | 
 | 1005 | addx971 add  0.0001E-999 -0.1E-999  ->   -1.0E-1000 Inexact Rounded Subnormal Underflow | 
 | 1006 |  | 
| Facundo Batista | 353750c | 2007-09-13 18:13:15 +0000 | [diff] [blame] | 1007 | -- some 'real' numbers | 
 | 1008 | maxExponent: 384 | 
 | 1009 | minExponent: -383 | 
 | 1010 | precision: 8 | 
 | 1011 | addx566 add 99999061735E-394  0E-394 -> 9.999906E-384 Inexact Rounded Underflow Subnormal | 
 | 1012 | precision: 7 | 
 | 1013 | addx567 add 99999061735E-394  0E-394 -> 9.99991E-384 Inexact Rounded Underflow Subnormal | 
 | 1014 | precision: 6 | 
 | 1015 | addx568 add 99999061735E-394  0E-394 -> 9.9999E-384 Inexact Rounded Underflow Subnormal | 
 | 1016 |  | 
 | 1017 | -- now the case where we can get underflow but the result is normal | 
 | 1018 | -- [note this can't happen if the operands are also bounded, as we | 
 | 1019 | -- cannot represent 1E-399, for example] | 
 | 1020 | precision:   16 | 
 | 1021 | rounding:    half_up | 
 | 1022 | maxExponent: 384 | 
 | 1023 | minExponent: -383 | 
 | 1024 |  | 
 | 1025 | addx571 add       1E-383       0  -> 1E-383 | 
 | 1026 | addx572 add       1E-384       0  -> 1E-384   Subnormal | 
 | 1027 | addx573 add       1E-383  1E-384  -> 1.1E-383 | 
 | 1028 | addx574 subtract  1E-383  1E-384  ->   9E-384 Subnormal | 
 | 1029 |  | 
 | 1030 | -- Here we explore the boundary of rounding a subnormal to Nmin | 
 | 1031 | addx575 subtract  1E-383  1E-398  ->   9.99999999999999E-384  Subnormal | 
 | 1032 | addx576 subtract  1E-383  1E-398  ->   9.99999999999999E-384  Subnormal | 
 | 1033 | addx577 subtract  1E-383  1E-399  ->   1.000000000000000E-383 Underflow Inexact Subnormal Rounded | 
 | 1034 | addx578 subtract  1E-383  1E-400  ->   1.000000000000000E-383 Underflow Inexact Subnormal Rounded | 
 | 1035 | addx579 subtract  1E-383  1E-401  ->   1.000000000000000E-383 Underflow Inexact Subnormal Rounded | 
 | 1036 | addx580 subtract  1E-383  1E-402  ->   1.000000000000000E-383 Underflow Inexact Subnormal Rounded | 
 | 1037 |  | 
| Raymond Hettinger | 7c85fa4 | 2004-07-01 11:01:35 +0000 | [diff] [blame] | 1038 | -- check overflow edge case | 
 | 1039 | precision:   7 | 
 | 1040 | rounding:    half_up | 
 | 1041 | maxExponent: 96 | 
 | 1042 | minExponent: -95 | 
 | 1043 | addx972 apply   9.999999E+96         -> 9.999999E+96 | 
 | 1044 | addx973 add     9.999999E+96  1      -> 9.999999E+96 Inexact Rounded | 
 | 1045 | addx974 add      9999999E+90  1      -> 9.999999E+96 Inexact Rounded | 
 | 1046 | addx975 add      9999999E+90  1E+90  -> Infinity Overflow Inexact Rounded | 
 | 1047 | addx976 add      9999999E+90  9E+89  -> Infinity Overflow Inexact Rounded | 
 | 1048 | addx977 add      9999999E+90  8E+89  -> Infinity Overflow Inexact Rounded | 
 | 1049 | addx978 add      9999999E+90  7E+89  -> Infinity Overflow Inexact Rounded | 
 | 1050 | addx979 add      9999999E+90  6E+89  -> Infinity Overflow Inexact Rounded | 
 | 1051 | addx980 add      9999999E+90  5E+89  -> Infinity Overflow Inexact Rounded | 
 | 1052 | addx981 add      9999999E+90  4E+89  -> 9.999999E+96 Inexact Rounded | 
 | 1053 | addx982 add      9999999E+90  3E+89  -> 9.999999E+96 Inexact Rounded | 
 | 1054 | addx983 add      9999999E+90  2E+89  -> 9.999999E+96 Inexact Rounded | 
 | 1055 | addx984 add      9999999E+90  1E+89  -> 9.999999E+96 Inexact Rounded | 
 | 1056 |  | 
 | 1057 | addx985 apply  -9.999999E+96         -> -9.999999E+96 | 
 | 1058 | addx986 add    -9.999999E+96 -1      -> -9.999999E+96 Inexact Rounded | 
 | 1059 | addx987 add     -9999999E+90 -1      -> -9.999999E+96 Inexact Rounded | 
 | 1060 | addx988 add     -9999999E+90 -1E+90  -> -Infinity Overflow Inexact Rounded | 
 | 1061 | addx989 add     -9999999E+90 -9E+89  -> -Infinity Overflow Inexact Rounded | 
 | 1062 | addx990 add     -9999999E+90 -8E+89  -> -Infinity Overflow Inexact Rounded | 
 | 1063 | addx991 add     -9999999E+90 -7E+89  -> -Infinity Overflow Inexact Rounded | 
 | 1064 | addx992 add     -9999999E+90 -6E+89  -> -Infinity Overflow Inexact Rounded | 
 | 1065 | addx993 add     -9999999E+90 -5E+89  -> -Infinity Overflow Inexact Rounded | 
 | 1066 | addx994 add     -9999999E+90 -4E+89  -> -9.999999E+96 Inexact Rounded | 
 | 1067 | addx995 add     -9999999E+90 -3E+89  -> -9.999999E+96 Inexact Rounded | 
 | 1068 | addx996 add     -9999999E+90 -2E+89  -> -9.999999E+96 Inexact Rounded | 
 | 1069 | addx997 add     -9999999E+90 -1E+89  -> -9.999999E+96 Inexact Rounded | 
 | 1070 |  | 
 | 1071 | -- check for double-rounded subnormals | 
 | 1072 | precision:   5 | 
 | 1073 | maxexponent: 79 | 
 | 1074 | minexponent: -79 | 
 | 1075 | -- Add: lhs and rhs 0 | 
 | 1076 | addx1001 add       1.52444E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow | 
 | 1077 | addx1002 add       1.52445E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow | 
 | 1078 | addx1003 add       1.52446E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow | 
 | 1079 | addx1004 add       0 1.52444E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow | 
 | 1080 | addx1005 add       0 1.52445E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow | 
 | 1081 | addx1006 add       0 1.52446E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow | 
 | 1082 |  | 
 | 1083 | -- Add: lhs >> rhs and vice versa | 
 | 1084 | addx1011 add       1.52444E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow | 
 | 1085 | addx1012 add       1.52445E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow | 
 | 1086 | addx1013 add       1.52446E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow | 
 | 1087 | addx1014 add       1E-100 1.52444E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow | 
 | 1088 | addx1015 add       1E-100 1.52445E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow | 
 | 1089 | addx1016 add       1E-100 1.52446E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow | 
 | 1090 |  | 
 | 1091 | -- Add: lhs + rhs addition carried out | 
 | 1092 | addx1021 add       1.52443E-80 1.00001E-80  -> 2.524E-80 Inexact Rounded Subnormal Underflow | 
 | 1093 | addx1022 add       1.52444E-80 1.00001E-80  -> 2.524E-80 Inexact Rounded Subnormal Underflow | 
 | 1094 | addx1023 add       1.52445E-80 1.00001E-80  -> 2.524E-80 Inexact Rounded Subnormal Underflow | 
 | 1095 | addx1024 add       1.00001E-80  1.52443E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow | 
 | 1096 | addx1025 add       1.00001E-80  1.52444E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow | 
 | 1097 | addx1026 add       1.00001E-80  1.52445E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow | 
 | 1098 |  | 
 | 1099 | -- And for round down full and subnormal results | 
 | 1100 | precision:    16 | 
 | 1101 | maxExponent: +384 | 
 | 1102 | minExponent: -383 | 
 | 1103 | rounding:     down | 
 | 1104 |  | 
 | 1105 | addx1100 add 1e+2 -1e-383    -> 99.99999999999999 Rounded Inexact | 
 | 1106 | addx1101 add 1e+1 -1e-383    -> 9.999999999999999  Rounded Inexact | 
 | 1107 | addx1103 add   +1 -1e-383    -> 0.9999999999999999  Rounded Inexact | 
 | 1108 | addx1104 add 1e-1 -1e-383    -> 0.09999999999999999  Rounded Inexact | 
 | 1109 | addx1105 add 1e-2 -1e-383    -> 0.009999999999999999  Rounded Inexact | 
 | 1110 | addx1106 add 1e-3 -1e-383    -> 0.0009999999999999999  Rounded Inexact | 
 | 1111 | addx1107 add 1e-4 -1e-383    -> 0.00009999999999999999  Rounded Inexact | 
 | 1112 | addx1108 add 1e-5 -1e-383    -> 0.000009999999999999999  Rounded Inexact | 
 | 1113 | addx1109 add 1e-6 -1e-383    -> 9.999999999999999E-7  Rounded Inexact | 
 | 1114 |  | 
 | 1115 | rounding:     ceiling | 
 | 1116 | addx1110 add -1e+2 +1e-383   -> -99.99999999999999 Rounded Inexact | 
 | 1117 | addx1111 add -1e+1 +1e-383   -> -9.999999999999999  Rounded Inexact | 
 | 1118 | addx1113 add    -1 +1e-383   -> -0.9999999999999999  Rounded Inexact | 
 | 1119 | addx1114 add -1e-1 +1e-383   -> -0.09999999999999999  Rounded Inexact | 
 | 1120 | addx1115 add -1e-2 +1e-383   -> -0.009999999999999999  Rounded Inexact | 
 | 1121 | addx1116 add -1e-3 +1e-383   -> -0.0009999999999999999  Rounded Inexact | 
 | 1122 | addx1117 add -1e-4 +1e-383   -> -0.00009999999999999999  Rounded Inexact | 
 | 1123 | addx1118 add -1e-5 +1e-383   -> -0.000009999999999999999  Rounded Inexact | 
 | 1124 | addx1119 add -1e-6 +1e-383   -> -9.999999999999999E-7  Rounded Inexact | 
| Facundo Batista | 9401cbe | 2007-11-23 18:14:50 +0000 | [diff] [blame] | 1125 | addx1120 add +1e-383 -1e+2   -> -99.99999999999999 Rounded Inexact | 
 | 1126 | addx1121 add +1e-383 -1e+1   -> -9.999999999999999  Rounded Inexact | 
 | 1127 | addx1123 add +1e-383    -1   -> -0.9999999999999999  Rounded Inexact | 
 | 1128 | addx1124 add +1e-383 -1e-1   -> -0.09999999999999999  Rounded Inexact | 
 | 1129 | addx1125 add +1e-383 -1e-2   -> -0.009999999999999999  Rounded Inexact | 
 | 1130 | addx1126 add +1e-383 -1e-3   -> -0.0009999999999999999  Rounded Inexact | 
 | 1131 | addx1127 add +1e-383 -1e-4   -> -0.00009999999999999999  Rounded Inexact | 
 | 1132 | addx1128 add +1e-383 -1e-5   -> -0.000009999999999999999  Rounded Inexact | 
 | 1133 | addx1129 add +1e-383 -1e-6   -> -9.999999999999999E-7  Rounded Inexact | 
| Raymond Hettinger | 7c85fa4 | 2004-07-01 11:01:35 +0000 | [diff] [blame] | 1134 |  | 
 | 1135 | rounding:     down | 
 | 1136 | precision:    7 | 
 | 1137 | maxExponent: +96 | 
 | 1138 | minExponent: -95 | 
 | 1139 | addx1130 add   1            -1e-200  -> 0.9999999  Rounded Inexact | 
 | 1140 | -- subnormal boundary | 
 | 1141 | addx1131 add   1.000000E-94  -1e-200  ->  9.999999E-95  Rounded Inexact | 
 | 1142 | addx1132 add   1.000001E-95  -1e-200  ->  1.000000E-95  Rounded Inexact | 
 | 1143 | addx1133 add   1.000000E-95  -1e-200  ->  9.99999E-96  Rounded Inexact Subnormal Underflow | 
 | 1144 | addx1134 add   0.999999E-95  -1e-200  ->  9.99998E-96  Rounded Inexact Subnormal Underflow | 
 | 1145 | addx1135 add   0.001000E-95  -1e-200  ->  9.99E-99  Rounded Inexact Subnormal Underflow | 
 | 1146 | addx1136 add   0.000999E-95  -1e-200  ->  9.98E-99  Rounded Inexact Subnormal Underflow | 
 | 1147 | addx1137 add   1.000000E-95  -1e-101  ->  9.99999E-96  Subnormal | 
 | 1148 | addx1138 add      10000E-101 -1e-200  ->  9.999E-98  Subnormal Inexact Rounded Underflow | 
 | 1149 | addx1139 add       1000E-101 -1e-200  ->  9.99E-99   Subnormal Inexact Rounded Underflow | 
 | 1150 | addx1140 add        100E-101 -1e-200  ->  9.9E-100   Subnormal Inexact Rounded Underflow | 
 | 1151 | addx1141 add         10E-101 -1e-200  ->  9E-101     Subnormal Inexact Rounded Underflow | 
| Facundo Batista | 353750c | 2007-09-13 18:13:15 +0000 | [diff] [blame] | 1152 | addx1142 add          1E-101 -1e-200  ->  0E-101     Subnormal Inexact Rounded Underflow Clamped | 
 | 1153 | addx1143 add          0E-101 -1e-200  -> -0E-101     Subnormal Inexact Rounded Underflow Clamped | 
 | 1154 | addx1144 add          1E-102 -1e-200  ->  0E-101     Subnormal Inexact Rounded Underflow Clamped | 
| Raymond Hettinger | 7c85fa4 | 2004-07-01 11:01:35 +0000 | [diff] [blame] | 1155 |  | 
 | 1156 | addx1151 add      10000E-102 -1e-200  ->  9.99E-99  Subnormal Inexact Rounded Underflow | 
 | 1157 | addx1152 add       1000E-102 -1e-200  ->  9.9E-100  Subnormal Inexact Rounded Underflow | 
 | 1158 | addx1153 add        100E-102 -1e-200  ->  9E-101   Subnormal Inexact Rounded Underflow | 
| Facundo Batista | 353750c | 2007-09-13 18:13:15 +0000 | [diff] [blame] | 1159 | addx1154 add         10E-102 -1e-200  ->  0E-101     Subnormal Inexact Rounded Underflow Clamped | 
 | 1160 | addx1155 add          1E-102 -1e-200  ->  0E-101     Subnormal Inexact Rounded Underflow Clamped | 
 | 1161 | addx1156 add          0E-102 -1e-200  -> -0E-101     Subnormal Inexact Rounded Underflow Clamped | 
 | 1162 | addx1157 add          1E-103 -1e-200  ->  0E-101     Subnormal Inexact Rounded Underflow Clamped | 
| Raymond Hettinger | 7c85fa4 | 2004-07-01 11:01:35 +0000 | [diff] [blame] | 1163 |  | 
| Facundo Batista | 353750c | 2007-09-13 18:13:15 +0000 | [diff] [blame] | 1164 | addx1160 add        100E-105 -1e-101  -> -0E-101 Subnormal Inexact Rounded Underflow Clamped | 
 | 1165 | addx1161 add        100E-105 -1e-201  ->  0E-101 Subnormal Inexact Rounded Underflow Clamped | 
| Raymond Hettinger | 7c85fa4 | 2004-07-01 11:01:35 +0000 | [diff] [blame] | 1166 |  | 
| Facundo Batista | 353750c | 2007-09-13 18:13:15 +0000 | [diff] [blame] | 1167 | -- tests based on Gunnar Degnbol's edge case | 
 | 1168 | precision:   15 | 
 | 1169 | rounding:    half_up | 
 | 1170 | maxExponent: 384 | 
 | 1171 | minexponent: -383 | 
 | 1172 |  | 
 | 1173 | addx1200 add 1E15  -0.5                 ->  1.00000000000000E+15 Inexact Rounded | 
 | 1174 | addx1201 add 1E15  -0.50                ->  1.00000000000000E+15 Inexact Rounded | 
 | 1175 | addx1210 add 1E15  -0.51                ->  999999999999999      Inexact Rounded | 
 | 1176 | addx1211 add 1E15  -0.501               ->  999999999999999      Inexact Rounded | 
 | 1177 | addx1212 add 1E15  -0.5001              ->  999999999999999      Inexact Rounded | 
 | 1178 | addx1213 add 1E15  -0.50001             ->  999999999999999      Inexact Rounded | 
 | 1179 | addx1214 add 1E15  -0.500001            ->  999999999999999      Inexact Rounded | 
 | 1180 | addx1215 add 1E15  -0.5000001           ->  999999999999999      Inexact Rounded | 
 | 1181 | addx1216 add 1E15  -0.50000001          ->  999999999999999      Inexact Rounded | 
 | 1182 | addx1217 add 1E15  -0.500000001         ->  999999999999999      Inexact Rounded | 
 | 1183 | addx1218 add 1E15  -0.5000000001        ->  999999999999999      Inexact Rounded | 
 | 1184 | addx1219 add 1E15  -0.50000000001       ->  999999999999999      Inexact Rounded | 
 | 1185 | addx1220 add 1E15  -0.500000000001      ->  999999999999999      Inexact Rounded | 
 | 1186 | addx1221 add 1E15  -0.5000000000001     ->  999999999999999      Inexact Rounded | 
 | 1187 | addx1222 add 1E15  -0.50000000000001    ->  999999999999999      Inexact Rounded | 
 | 1188 | addx1223 add 1E15  -0.500000000000001   ->  999999999999999      Inexact Rounded | 
 | 1189 | addx1224 add 1E15  -0.5000000000000001  ->  999999999999999      Inexact Rounded | 
 | 1190 | addx1225 add 1E15  -0.5000000000000000  ->  1.00000000000000E+15 Inexact Rounded | 
 | 1191 | addx1230 add 1E15  -5000000.000000001   ->  999999995000000      Inexact Rounded | 
 | 1192 |  | 
 | 1193 | precision:   16 | 
 | 1194 |  | 
 | 1195 | addx1300 add 1E16  -0.5                 ->  1.000000000000000E+16 Inexact Rounded | 
 | 1196 | addx1310 add 1E16  -0.51                ->  9999999999999999      Inexact Rounded | 
 | 1197 | addx1311 add 1E16  -0.501               ->  9999999999999999      Inexact Rounded | 
 | 1198 | addx1312 add 1E16  -0.5001              ->  9999999999999999      Inexact Rounded | 
 | 1199 | addx1313 add 1E16  -0.50001             ->  9999999999999999      Inexact Rounded | 
 | 1200 | addx1314 add 1E16  -0.500001            ->  9999999999999999      Inexact Rounded | 
 | 1201 | addx1315 add 1E16  -0.5000001           ->  9999999999999999      Inexact Rounded | 
 | 1202 | addx1316 add 1E16  -0.50000001          ->  9999999999999999      Inexact Rounded | 
 | 1203 | addx1317 add 1E16  -0.500000001         ->  9999999999999999      Inexact Rounded | 
 | 1204 | addx1318 add 1E16  -0.5000000001        ->  9999999999999999      Inexact Rounded | 
 | 1205 | addx1319 add 1E16  -0.50000000001       ->  9999999999999999      Inexact Rounded | 
 | 1206 | addx1320 add 1E16  -0.500000000001      ->  9999999999999999      Inexact Rounded | 
 | 1207 | addx1321 add 1E16  -0.5000000000001     ->  9999999999999999      Inexact Rounded | 
 | 1208 | addx1322 add 1E16  -0.50000000000001    ->  9999999999999999      Inexact Rounded | 
 | 1209 | addx1323 add 1E16  -0.500000000000001   ->  9999999999999999      Inexact Rounded | 
 | 1210 | addx1324 add 1E16  -0.5000000000000001  ->  9999999999999999      Inexact Rounded | 
 | 1211 | addx1325 add 1E16  -0.5000000000000000  ->  1.000000000000000E+16 Inexact Rounded | 
 | 1212 | addx1326 add 1E16  -0.500000000000000   ->  1.000000000000000E+16 Inexact Rounded | 
 | 1213 | addx1327 add 1E16  -0.50000000000000    ->  1.000000000000000E+16 Inexact Rounded | 
 | 1214 | addx1328 add 1E16  -0.5000000000000     ->  1.000000000000000E+16 Inexact Rounded | 
 | 1215 | addx1329 add 1E16  -0.500000000000      ->  1.000000000000000E+16 Inexact Rounded | 
 | 1216 | addx1330 add 1E16  -0.50000000000       ->  1.000000000000000E+16 Inexact Rounded | 
 | 1217 | addx1331 add 1E16  -0.5000000000        ->  1.000000000000000E+16 Inexact Rounded | 
 | 1218 | addx1332 add 1E16  -0.500000000         ->  1.000000000000000E+16 Inexact Rounded | 
 | 1219 | addx1333 add 1E16  -0.50000000          ->  1.000000000000000E+16 Inexact Rounded | 
 | 1220 | addx1334 add 1E16  -0.5000000           ->  1.000000000000000E+16 Inexact Rounded | 
 | 1221 | addx1335 add 1E16  -0.500000            ->  1.000000000000000E+16 Inexact Rounded | 
 | 1222 | addx1336 add 1E16  -0.50000             ->  1.000000000000000E+16 Inexact Rounded | 
 | 1223 | addx1337 add 1E16  -0.5000              ->  1.000000000000000E+16 Inexact Rounded | 
 | 1224 | addx1338 add 1E16  -0.500               ->  1.000000000000000E+16 Inexact Rounded | 
 | 1225 | addx1339 add 1E16  -0.50                ->  1.000000000000000E+16 Inexact Rounded | 
 | 1226 |  | 
 | 1227 | addx1340 add 1E16  -5000000.000010001   ->  9999999995000000      Inexact Rounded | 
 | 1228 | addx1341 add 1E16  -5000000.000000001   ->  9999999995000000      Inexact Rounded | 
 | 1229 |  | 
 | 1230 | addx1349 add 9999999999999999 0.4                 ->  9999999999999999      Inexact Rounded | 
 | 1231 | addx1350 add 9999999999999999 0.49                ->  9999999999999999      Inexact Rounded | 
 | 1232 | addx1351 add 9999999999999999 0.499               ->  9999999999999999      Inexact Rounded | 
 | 1233 | addx1352 add 9999999999999999 0.4999              ->  9999999999999999      Inexact Rounded | 
 | 1234 | addx1353 add 9999999999999999 0.49999             ->  9999999999999999      Inexact Rounded | 
 | 1235 | addx1354 add 9999999999999999 0.499999            ->  9999999999999999      Inexact Rounded | 
 | 1236 | addx1355 add 9999999999999999 0.4999999           ->  9999999999999999      Inexact Rounded | 
 | 1237 | addx1356 add 9999999999999999 0.49999999          ->  9999999999999999      Inexact Rounded | 
 | 1238 | addx1357 add 9999999999999999 0.499999999         ->  9999999999999999      Inexact Rounded | 
 | 1239 | addx1358 add 9999999999999999 0.4999999999        ->  9999999999999999      Inexact Rounded | 
 | 1240 | addx1359 add 9999999999999999 0.49999999999       ->  9999999999999999      Inexact Rounded | 
 | 1241 | addx1360 add 9999999999999999 0.499999999999      ->  9999999999999999      Inexact Rounded | 
 | 1242 | addx1361 add 9999999999999999 0.4999999999999     ->  9999999999999999      Inexact Rounded | 
 | 1243 | addx1362 add 9999999999999999 0.49999999999999    ->  9999999999999999      Inexact Rounded | 
 | 1244 | addx1363 add 9999999999999999 0.499999999999999   ->  9999999999999999      Inexact Rounded | 
 | 1245 | addx1364 add 9999999999999999 0.4999999999999999  ->  9999999999999999      Inexact Rounded | 
 | 1246 | addx1365 add 9999999999999999 0.5000000000000000  ->  1.000000000000000E+16 Inexact Rounded | 
 | 1247 | addx1367 add 9999999999999999 0.500000000000000   ->  1.000000000000000E+16 Inexact Rounded | 
 | 1248 | addx1368 add 9999999999999999 0.50000000000000    ->  1.000000000000000E+16 Inexact Rounded | 
 | 1249 | addx1369 add 9999999999999999 0.5000000000000     ->  1.000000000000000E+16 Inexact Rounded | 
 | 1250 | addx1370 add 9999999999999999 0.500000000000      ->  1.000000000000000E+16 Inexact Rounded | 
 | 1251 | addx1371 add 9999999999999999 0.50000000000       ->  1.000000000000000E+16 Inexact Rounded | 
 | 1252 | addx1372 add 9999999999999999 0.5000000000        ->  1.000000000000000E+16 Inexact Rounded | 
 | 1253 | addx1373 add 9999999999999999 0.500000000         ->  1.000000000000000E+16 Inexact Rounded | 
 | 1254 | addx1374 add 9999999999999999 0.50000000          ->  1.000000000000000E+16 Inexact Rounded | 
 | 1255 | addx1375 add 9999999999999999 0.5000000           ->  1.000000000000000E+16 Inexact Rounded | 
 | 1256 | addx1376 add 9999999999999999 0.500000            ->  1.000000000000000E+16 Inexact Rounded | 
 | 1257 | addx1377 add 9999999999999999 0.50000             ->  1.000000000000000E+16 Inexact Rounded | 
 | 1258 | addx1378 add 9999999999999999 0.5000              ->  1.000000000000000E+16 Inexact Rounded | 
 | 1259 | addx1379 add 9999999999999999 0.500               ->  1.000000000000000E+16 Inexact Rounded | 
 | 1260 | addx1380 add 9999999999999999 0.50                ->  1.000000000000000E+16 Inexact Rounded | 
 | 1261 | addx1381 add 9999999999999999 0.5                 ->  1.000000000000000E+16 Inexact Rounded | 
 | 1262 | addx1382 add 9999999999999999 0.5000000000000001  ->  1.000000000000000E+16 Inexact Rounded | 
 | 1263 | addx1383 add 9999999999999999 0.500000000000001   ->  1.000000000000000E+16 Inexact Rounded | 
 | 1264 | addx1384 add 9999999999999999 0.50000000000001    ->  1.000000000000000E+16 Inexact Rounded | 
 | 1265 | addx1385 add 9999999999999999 0.5000000000001     ->  1.000000000000000E+16 Inexact Rounded | 
 | 1266 | addx1386 add 9999999999999999 0.500000000001      ->  1.000000000000000E+16 Inexact Rounded | 
 | 1267 | addx1387 add 9999999999999999 0.50000000001       ->  1.000000000000000E+16 Inexact Rounded | 
 | 1268 | addx1388 add 9999999999999999 0.5000000001        ->  1.000000000000000E+16 Inexact Rounded | 
 | 1269 | addx1389 add 9999999999999999 0.500000001         ->  1.000000000000000E+16 Inexact Rounded | 
 | 1270 | addx1390 add 9999999999999999 0.50000001          ->  1.000000000000000E+16 Inexact Rounded | 
 | 1271 | addx1391 add 9999999999999999 0.5000001           ->  1.000000000000000E+16 Inexact Rounded | 
 | 1272 | addx1392 add 9999999999999999 0.500001            ->  1.000000000000000E+16 Inexact Rounded | 
 | 1273 | addx1393 add 9999999999999999 0.50001             ->  1.000000000000000E+16 Inexact Rounded | 
 | 1274 | addx1394 add 9999999999999999 0.5001              ->  1.000000000000000E+16 Inexact Rounded | 
 | 1275 | addx1395 add 9999999999999999 0.501               ->  1.000000000000000E+16 Inexact Rounded | 
 | 1276 | addx1396 add 9999999999999999 0.51                ->  1.000000000000000E+16 Inexact Rounded | 
 | 1277 |  | 
 | 1278 | -- More GD edge cases, where difference between the unadjusted | 
 | 1279 | -- exponents is larger than the maximum precision and one side is 0 | 
 | 1280 | precision:   15 | 
 | 1281 | rounding:    half_up | 
 | 1282 | maxExponent: 384 | 
 | 1283 | minexponent: -383 | 
 | 1284 |  | 
 | 1285 | addx1400 add  0 1.23456789012345     -> 1.23456789012345 | 
 | 1286 | addx1401 add  0 1.23456789012345E-1  -> 0.123456789012345 | 
 | 1287 | addx1402 add  0 1.23456789012345E-2  -> 0.0123456789012345 | 
 | 1288 | addx1403 add  0 1.23456789012345E-3  -> 0.00123456789012345 | 
 | 1289 | addx1404 add  0 1.23456789012345E-4  -> 0.000123456789012345 | 
 | 1290 | addx1405 add  0 1.23456789012345E-5  -> 0.0000123456789012345 | 
 | 1291 | addx1406 add  0 1.23456789012345E-6  -> 0.00000123456789012345 | 
 | 1292 | addx1407 add  0 1.23456789012345E-7  -> 1.23456789012345E-7 | 
 | 1293 | addx1408 add  0 1.23456789012345E-8  -> 1.23456789012345E-8 | 
 | 1294 | addx1409 add  0 1.23456789012345E-9  -> 1.23456789012345E-9 | 
 | 1295 | addx1410 add  0 1.23456789012345E-10 -> 1.23456789012345E-10 | 
 | 1296 | addx1411 add  0 1.23456789012345E-11 -> 1.23456789012345E-11 | 
 | 1297 | addx1412 add  0 1.23456789012345E-12 -> 1.23456789012345E-12 | 
 | 1298 | addx1413 add  0 1.23456789012345E-13 -> 1.23456789012345E-13 | 
 | 1299 | addx1414 add  0 1.23456789012345E-14 -> 1.23456789012345E-14 | 
 | 1300 | addx1415 add  0 1.23456789012345E-15 -> 1.23456789012345E-15 | 
 | 1301 | addx1416 add  0 1.23456789012345E-16 -> 1.23456789012345E-16 | 
 | 1302 | addx1417 add  0 1.23456789012345E-17 -> 1.23456789012345E-17 | 
 | 1303 | addx1418 add  0 1.23456789012345E-18 -> 1.23456789012345E-18 | 
 | 1304 | addx1419 add  0 1.23456789012345E-19 -> 1.23456789012345E-19 | 
 | 1305 |  | 
 | 1306 | -- same, precision 16.. | 
 | 1307 | precision:   16 | 
 | 1308 | addx1420 add  0 1.123456789012345     -> 1.123456789012345 | 
 | 1309 | addx1421 add  0 1.123456789012345E-1  -> 0.1123456789012345 | 
 | 1310 | addx1422 add  0 1.123456789012345E-2  -> 0.01123456789012345 | 
 | 1311 | addx1423 add  0 1.123456789012345E-3  -> 0.001123456789012345 | 
 | 1312 | addx1424 add  0 1.123456789012345E-4  -> 0.0001123456789012345 | 
 | 1313 | addx1425 add  0 1.123456789012345E-5  -> 0.00001123456789012345 | 
 | 1314 | addx1426 add  0 1.123456789012345E-6  -> 0.000001123456789012345 | 
 | 1315 | addx1427 add  0 1.123456789012345E-7  -> 1.123456789012345E-7 | 
 | 1316 | addx1428 add  0 1.123456789012345E-8  -> 1.123456789012345E-8 | 
 | 1317 | addx1429 add  0 1.123456789012345E-9  -> 1.123456789012345E-9 | 
 | 1318 | addx1430 add  0 1.123456789012345E-10 -> 1.123456789012345E-10 | 
 | 1319 | addx1431 add  0 1.123456789012345E-11 -> 1.123456789012345E-11 | 
 | 1320 | addx1432 add  0 1.123456789012345E-12 -> 1.123456789012345E-12 | 
 | 1321 | addx1433 add  0 1.123456789012345E-13 -> 1.123456789012345E-13 | 
 | 1322 | addx1434 add  0 1.123456789012345E-14 -> 1.123456789012345E-14 | 
 | 1323 | addx1435 add  0 1.123456789012345E-15 -> 1.123456789012345E-15 | 
 | 1324 | addx1436 add  0 1.123456789012345E-16 -> 1.123456789012345E-16 | 
 | 1325 | addx1437 add  0 1.123456789012345E-17 -> 1.123456789012345E-17 | 
 | 1326 | addx1438 add  0 1.123456789012345E-18 -> 1.123456789012345E-18 | 
 | 1327 | addx1439 add  0 1.123456789012345E-19 -> 1.123456789012345E-19 | 
 | 1328 |  | 
 | 1329 | -- same, reversed 0 | 
 | 1330 | addx1440 add 1.123456789012345     0 -> 1.123456789012345 | 
 | 1331 | addx1441 add 1.123456789012345E-1  0 -> 0.1123456789012345 | 
 | 1332 | addx1442 add 1.123456789012345E-2  0 -> 0.01123456789012345 | 
 | 1333 | addx1443 add 1.123456789012345E-3  0 -> 0.001123456789012345 | 
 | 1334 | addx1444 add 1.123456789012345E-4  0 -> 0.0001123456789012345 | 
 | 1335 | addx1445 add 1.123456789012345E-5  0 -> 0.00001123456789012345 | 
 | 1336 | addx1446 add 1.123456789012345E-6  0 -> 0.000001123456789012345 | 
 | 1337 | addx1447 add 1.123456789012345E-7  0 -> 1.123456789012345E-7 | 
 | 1338 | addx1448 add 1.123456789012345E-8  0 -> 1.123456789012345E-8 | 
 | 1339 | addx1449 add 1.123456789012345E-9  0 -> 1.123456789012345E-9 | 
 | 1340 | addx1450 add 1.123456789012345E-10 0 -> 1.123456789012345E-10 | 
 | 1341 | addx1451 add 1.123456789012345E-11 0 -> 1.123456789012345E-11 | 
 | 1342 | addx1452 add 1.123456789012345E-12 0 -> 1.123456789012345E-12 | 
 | 1343 | addx1453 add 1.123456789012345E-13 0 -> 1.123456789012345E-13 | 
 | 1344 | addx1454 add 1.123456789012345E-14 0 -> 1.123456789012345E-14 | 
 | 1345 | addx1455 add 1.123456789012345E-15 0 -> 1.123456789012345E-15 | 
 | 1346 | addx1456 add 1.123456789012345E-16 0 -> 1.123456789012345E-16 | 
 | 1347 | addx1457 add 1.123456789012345E-17 0 -> 1.123456789012345E-17 | 
 | 1348 | addx1458 add 1.123456789012345E-18 0 -> 1.123456789012345E-18 | 
 | 1349 | addx1459 add 1.123456789012345E-19 0 -> 1.123456789012345E-19 | 
 | 1350 |  | 
 | 1351 | -- same, Es on the 0 | 
 | 1352 | addx1460 add 1.123456789012345  0E-0   -> 1.123456789012345 | 
 | 1353 | addx1461 add 1.123456789012345  0E-1   -> 1.123456789012345 | 
 | 1354 | addx1462 add 1.123456789012345  0E-2   -> 1.123456789012345 | 
 | 1355 | addx1463 add 1.123456789012345  0E-3   -> 1.123456789012345 | 
 | 1356 | addx1464 add 1.123456789012345  0E-4   -> 1.123456789012345 | 
 | 1357 | addx1465 add 1.123456789012345  0E-5   -> 1.123456789012345 | 
 | 1358 | addx1466 add 1.123456789012345  0E-6   -> 1.123456789012345 | 
 | 1359 | addx1467 add 1.123456789012345  0E-7   -> 1.123456789012345 | 
 | 1360 | addx1468 add 1.123456789012345  0E-8   -> 1.123456789012345 | 
 | 1361 | addx1469 add 1.123456789012345  0E-9   -> 1.123456789012345 | 
 | 1362 | addx1470 add 1.123456789012345  0E-10  -> 1.123456789012345 | 
 | 1363 | addx1471 add 1.123456789012345  0E-11  -> 1.123456789012345 | 
 | 1364 | addx1472 add 1.123456789012345  0E-12  -> 1.123456789012345 | 
 | 1365 | addx1473 add 1.123456789012345  0E-13  -> 1.123456789012345 | 
 | 1366 | addx1474 add 1.123456789012345  0E-14  -> 1.123456789012345 | 
 | 1367 | addx1475 add 1.123456789012345  0E-15  -> 1.123456789012345 | 
 | 1368 | -- next four flag Rounded because the 0 extends the result | 
 | 1369 | addx1476 add 1.123456789012345  0E-16  -> 1.123456789012345 Rounded | 
 | 1370 | addx1477 add 1.123456789012345  0E-17  -> 1.123456789012345 Rounded | 
 | 1371 | addx1478 add 1.123456789012345  0E-18  -> 1.123456789012345 Rounded | 
 | 1372 | addx1479 add 1.123456789012345  0E-19  -> 1.123456789012345 Rounded | 
 | 1373 |  | 
 | 1374 | -- sum of two opposite-sign operands is exactly 0 and floor => -0 | 
 | 1375 | precision:   16 | 
 | 1376 | maxExponent: 384 | 
 | 1377 | minexponent: -383 | 
 | 1378 |  | 
 | 1379 | rounding:    half_up | 
 | 1380 | -- exact zeros from zeros | 
 | 1381 | addx1500 add  0        0E-19  ->  0E-19 | 
 | 1382 | addx1501 add -0        0E-19  ->  0E-19 | 
 | 1383 | addx1502 add  0       -0E-19  ->  0E-19 | 
 | 1384 | addx1503 add -0       -0E-19  -> -0E-19 | 
 | 1385 | addx1504 add  0E-400   0E-19  ->  0E-398 Clamped | 
 | 1386 | addx1505 add -0E-400   0E-19  ->  0E-398 Clamped | 
 | 1387 | addx1506 add  0E-400  -0E-19  ->  0E-398 Clamped | 
 | 1388 | addx1507 add -0E-400  -0E-19  -> -0E-398 Clamped | 
 | 1389 | -- inexact zeros | 
 | 1390 | addx1511 add  1E-401   1E-400 ->  0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 1391 | addx1512 add -1E-401   1E-400 ->  0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 1392 | addx1513 add  1E-401  -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 1393 | addx1514 add -1E-401  -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 1394 | -- some exact zeros from non-zeros | 
 | 1395 | addx1515 add  1E-401   1E-401 ->  0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 1396 | addx1516 add -1E-401   1E-401 ->  0E-398 Clamped | 
 | 1397 | addx1517 add  1E-401  -1E-401 ->  0E-398 Clamped | 
 | 1398 | addx1518 add -1E-401  -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 1399 |  | 
 | 1400 | rounding:    half_down | 
 | 1401 | -- exact zeros from zeros | 
 | 1402 | addx1520 add  0        0E-19  ->  0E-19 | 
 | 1403 | addx1521 add -0        0E-19  ->  0E-19 | 
 | 1404 | addx1522 add  0       -0E-19  ->  0E-19 | 
 | 1405 | addx1523 add -0       -0E-19  -> -0E-19 | 
 | 1406 | addx1524 add  0E-400   0E-19  ->  0E-398 Clamped | 
 | 1407 | addx1525 add -0E-400   0E-19  ->  0E-398 Clamped | 
 | 1408 | addx1526 add  0E-400  -0E-19  ->  0E-398 Clamped | 
 | 1409 | addx1527 add -0E-400  -0E-19  -> -0E-398 Clamped | 
 | 1410 | -- inexact zeros | 
 | 1411 | addx1531 add  1E-401   1E-400 ->  0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 1412 | addx1532 add -1E-401   1E-400 ->  0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 1413 | addx1533 add  1E-401  -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 1414 | addx1534 add -1E-401  -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 1415 | -- some exact zeros from non-zeros | 
 | 1416 | addx1535 add  1E-401   1E-401 ->  0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 1417 | addx1536 add -1E-401   1E-401 ->  0E-398 Clamped | 
 | 1418 | addx1537 add  1E-401  -1E-401 ->  0E-398 Clamped | 
 | 1419 | addx1538 add -1E-401  -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 1420 |  | 
 | 1421 | rounding:    half_even | 
 | 1422 | -- exact zeros from zeros | 
 | 1423 | addx1540 add  0        0E-19  ->  0E-19 | 
 | 1424 | addx1541 add -0        0E-19  ->  0E-19 | 
 | 1425 | addx1542 add  0       -0E-19  ->  0E-19 | 
 | 1426 | addx1543 add -0       -0E-19  -> -0E-19 | 
 | 1427 | addx1544 add  0E-400   0E-19  ->  0E-398 Clamped | 
 | 1428 | addx1545 add -0E-400   0E-19  ->  0E-398 Clamped | 
 | 1429 | addx1546 add  0E-400  -0E-19  ->  0E-398 Clamped | 
 | 1430 | addx1547 add -0E-400  -0E-19  -> -0E-398 Clamped | 
 | 1431 | -- inexact zeros | 
 | 1432 | addx1551 add  1E-401   1E-400 ->  0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 1433 | addx1552 add -1E-401   1E-400 ->  0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 1434 | addx1553 add  1E-401  -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 1435 | addx1554 add -1E-401  -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 1436 | -- some exact zeros from non-zeros | 
 | 1437 | addx1555 add  1E-401   1E-401 ->  0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 1438 | addx1556 add -1E-401   1E-401 ->  0E-398 Clamped | 
 | 1439 | addx1557 add  1E-401  -1E-401 ->  0E-398 Clamped | 
 | 1440 | addx1558 add -1E-401  -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 1441 |  | 
 | 1442 | rounding:    up | 
 | 1443 | -- exact zeros from zeros | 
 | 1444 | addx1560 add  0        0E-19  ->  0E-19 | 
 | 1445 | addx1561 add -0        0E-19  ->  0E-19 | 
 | 1446 | addx1562 add  0       -0E-19  ->  0E-19 | 
 | 1447 | addx1563 add -0       -0E-19  -> -0E-19 | 
 | 1448 | addx1564 add  0E-400   0E-19  ->  0E-398 Clamped | 
 | 1449 | addx1565 add -0E-400   0E-19  ->  0E-398 Clamped | 
 | 1450 | addx1566 add  0E-400  -0E-19  ->  0E-398 Clamped | 
 | 1451 | addx1567 add -0E-400  -0E-19  -> -0E-398 Clamped | 
 | 1452 | -- inexact zeros | 
 | 1453 | addx1571 add  1E-401   1E-400 ->  1E-398 Subnormal Inexact Rounded Underflow | 
 | 1454 | addx1572 add -1E-401   1E-400 ->  1E-398 Subnormal Inexact Rounded Underflow | 
 | 1455 | addx1573 add  1E-401  -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow | 
 | 1456 | addx1574 add -1E-401  -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow | 
 | 1457 | -- some exact zeros from non-zeros | 
 | 1458 | addx1575 add  1E-401   1E-401 ->  1E-398 Subnormal Inexact Rounded Underflow | 
 | 1459 | addx1576 add -1E-401   1E-401 ->  0E-398 Clamped | 
 | 1460 | addx1577 add  1E-401  -1E-401 ->  0E-398 Clamped | 
 | 1461 | addx1578 add -1E-401  -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow | 
 | 1462 |  | 
 | 1463 | rounding:    down | 
 | 1464 | -- exact zeros from zeros | 
 | 1465 | addx1580 add  0        0E-19  ->  0E-19 | 
 | 1466 | addx1581 add -0        0E-19  ->  0E-19 | 
 | 1467 | addx1582 add  0       -0E-19  ->  0E-19 | 
 | 1468 | addx1583 add -0       -0E-19  -> -0E-19 | 
 | 1469 | addx1584 add  0E-400   0E-19  ->  0E-398 Clamped | 
 | 1470 | addx1585 add -0E-400   0E-19  ->  0E-398 Clamped | 
 | 1471 | addx1586 add  0E-400  -0E-19  ->  0E-398 Clamped | 
 | 1472 | addx1587 add -0E-400  -0E-19  -> -0E-398 Clamped | 
 | 1473 | -- inexact zeros | 
 | 1474 | addx1591 add  1E-401   1E-400 ->  0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 1475 | addx1592 add -1E-401   1E-400 ->  0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 1476 | addx1593 add  1E-401  -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 1477 | addx1594 add -1E-401  -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 1478 | -- some exact zeros from non-zeros | 
 | 1479 | addx1595 add  1E-401   1E-401 ->  0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 1480 | addx1596 add -1E-401   1E-401 ->  0E-398 Clamped | 
 | 1481 | addx1597 add  1E-401  -1E-401 ->  0E-398 Clamped | 
 | 1482 | addx1598 add -1E-401  -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 1483 |  | 
 | 1484 | rounding:    ceiling | 
 | 1485 | -- exact zeros from zeros | 
 | 1486 | addx1600 add  0        0E-19  ->  0E-19 | 
 | 1487 | addx1601 add -0        0E-19  ->  0E-19 | 
 | 1488 | addx1602 add  0       -0E-19  ->  0E-19 | 
 | 1489 | addx1603 add -0       -0E-19  -> -0E-19 | 
 | 1490 | addx1604 add  0E-400   0E-19  ->  0E-398 Clamped | 
 | 1491 | addx1605 add -0E-400   0E-19  ->  0E-398 Clamped | 
 | 1492 | addx1606 add  0E-400  -0E-19  ->  0E-398 Clamped | 
 | 1493 | addx1607 add -0E-400  -0E-19  -> -0E-398 Clamped | 
 | 1494 | -- inexact zeros | 
 | 1495 | addx1611 add  1E-401   1E-400 ->  1E-398 Subnormal Inexact Rounded Underflow | 
 | 1496 | addx1612 add -1E-401   1E-400 ->  1E-398 Subnormal Inexact Rounded Underflow | 
 | 1497 | addx1613 add  1E-401  -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 1498 | addx1614 add -1E-401  -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 1499 | -- some exact zeros from non-zeros | 
 | 1500 | addx1615 add  1E-401   1E-401 ->  1E-398 Subnormal Inexact Rounded Underflow | 
 | 1501 | addx1616 add -1E-401   1E-401 ->  0E-398 Clamped | 
 | 1502 | addx1617 add  1E-401  -1E-401 ->  0E-398 Clamped | 
 | 1503 | addx1618 add -1E-401  -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 1504 |  | 
 | 1505 | -- and the extra-special ugly case; unusual minuses marked by -- * | 
 | 1506 | rounding:    floor | 
 | 1507 | -- exact zeros from zeros | 
 | 1508 | addx1620 add  0        0E-19  ->  0E-19 | 
 | 1509 | addx1621 add -0        0E-19  -> -0E-19           -- * | 
 | 1510 | addx1622 add  0       -0E-19  -> -0E-19           -- * | 
 | 1511 | addx1623 add -0       -0E-19  -> -0E-19 | 
 | 1512 | addx1624 add  0E-400   0E-19  ->  0E-398 Clamped | 
 | 1513 | addx1625 add -0E-400   0E-19  -> -0E-398 Clamped  -- * | 
 | 1514 | addx1626 add  0E-400  -0E-19  -> -0E-398 Clamped  -- * | 
 | 1515 | addx1627 add -0E-400  -0E-19  -> -0E-398 Clamped | 
 | 1516 | -- inexact zeros | 
 | 1517 | addx1631 add  1E-401   1E-400 ->  0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 1518 | addx1632 add -1E-401   1E-400 ->  0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 1519 | addx1633 add  1E-401  -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow | 
 | 1520 | addx1634 add -1E-401  -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow | 
 | 1521 | -- some exact zeros from non-zeros | 
 | 1522 | addx1635 add  1E-401   1E-401 ->  0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 1523 | addx1636 add -1E-401   1E-401 -> -0E-398 Clamped  -- * | 
 | 1524 | addx1637 add  1E-401  -1E-401 -> -0E-398 Clamped  -- * | 
 | 1525 | addx1638 add -1E-401  -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow | 
 | 1526 |  | 
 | 1527 | -- BigDecimal problem testcases 2006.01.23 | 
 | 1528 | precision:   16 | 
 | 1529 | maxExponent: 384 | 
 | 1530 | minexponent: -383 | 
 | 1531 |  | 
 | 1532 | rounding:  down | 
 | 1533 | precision: 7 | 
 | 1534 | addx1651 add  10001E+2  -2E+1 -> 1.00008E+6 | 
 | 1535 | precision: 6 | 
 | 1536 | addx1652 add  10001E+2  -2E+1 -> 1.00008E+6 | 
 | 1537 | precision: 5 | 
 | 1538 | addx1653 add  10001E+2  -2E+1 -> 1.0000E+6   Inexact Rounded | 
 | 1539 | precision: 4 | 
 | 1540 | addx1654 add  10001E+2  -2E+1 -> 1.000E+6    Inexact Rounded | 
 | 1541 | precision: 3 | 
 | 1542 | addx1655 add  10001E+2  -2E+1 -> 1.00E+6     Inexact Rounded | 
 | 1543 | precision: 2 | 
 | 1544 | addx1656 add  10001E+2  -2E+1 -> 1.0E+6      Inexact Rounded | 
 | 1545 | precision: 1 | 
 | 1546 | addx1657 add  10001E+2  -2E+1 -> 1E+6        Inexact Rounded | 
 | 1547 |  | 
 | 1548 | rounding:  half_even | 
 | 1549 | precision: 7 | 
 | 1550 | addx1661 add  10001E+2  -2E+1 -> 1.00008E+6 | 
 | 1551 | precision: 6 | 
 | 1552 | addx1662 add  10001E+2  -2E+1 -> 1.00008E+6 | 
 | 1553 | precision: 5 | 
 | 1554 | addx1663 add  10001E+2  -2E+1 -> 1.0001E+6   Inexact Rounded | 
 | 1555 | precision: 4 | 
 | 1556 | addx1664 add  10001E+2  -2E+1 -> 1.000E+6    Inexact Rounded | 
 | 1557 | precision: 3 | 
 | 1558 | addx1665 add  10001E+2  -2E+1 -> 1.00E+6     Inexact Rounded | 
 | 1559 | precision: 2 | 
 | 1560 | addx1666 add  10001E+2  -2E+1 -> 1.0E+6      Inexact Rounded | 
 | 1561 | precision: 1 | 
 | 1562 | addx1667 add  10001E+2  -2E+1 -> 1E+6        Inexact Rounded | 
 | 1563 |  | 
 | 1564 | rounding:  up | 
 | 1565 | precision: 7 | 
 | 1566 | addx1671 add  10001E+2  -2E+1 -> 1.00008E+6 | 
 | 1567 | precision: 6 | 
 | 1568 | addx1672 add  10001E+2  -2E+1 -> 1.00008E+6 | 
 | 1569 | precision: 5 | 
 | 1570 | addx1673 add  10001E+2  -2E+1 -> 1.0001E+6   Inexact Rounded | 
 | 1571 | precision: 4 | 
 | 1572 | addx1674 add  10001E+2  -2E+1 -> 1.001E+6    Inexact Rounded | 
 | 1573 | precision: 3 | 
 | 1574 | addx1675 add  10001E+2  -2E+1 -> 1.01E+6     Inexact Rounded | 
 | 1575 | precision: 2 | 
 | 1576 | addx1676 add  10001E+2  -2E+1 -> 1.1E+6      Inexact Rounded | 
 | 1577 | precision: 1 | 
 | 1578 | addx1677 add  10001E+2  -2E+1 -> 2E+6        Inexact Rounded | 
 | 1579 |  | 
 | 1580 | precision:   34 | 
 | 1581 | rounding:    half_up | 
 | 1582 | maxExponent: 6144 | 
 | 1583 | minExponent: -6143 | 
 | 1584 | -- Examples from SQL proposal (Krishna Kulkarni) | 
 | 1585 | addx1701  add 130E-2    120E-2    -> 2.50 | 
 | 1586 | addx1702  add 130E-2    12E-1     -> 2.50 | 
 | 1587 | addx1703  add 130E-2    1E0       -> 2.30 | 
 | 1588 | addx1704  add 1E2       1E4       -> 1.01E+4 | 
 | 1589 | addx1705  subtract 130E-2  120E-2 -> 0.10 | 
 | 1590 | addx1706  subtract 130E-2  12E-1  -> 0.10 | 
 | 1591 | addx1707  subtract 130E-2  1E0    -> 0.30 | 
 | 1592 | addx1708  subtract 1E2     1E4    -> -9.9E+3 | 
 | 1593 |  | 
 | 1594 | ------------------------------------------------------------------------ | 
 | 1595 | -- Same as above, using decimal64 default parameters                  -- | 
 | 1596 | ------------------------------------------------------------------------ | 
 | 1597 | precision:   16 | 
 | 1598 | rounding:    half_even | 
 | 1599 | maxExponent: 384 | 
 | 1600 | minexponent: -383 | 
 | 1601 |  | 
 | 1602 | -- [first group are 'quick confidence check'] | 
 | 1603 | addx6001 add 1       1       ->  2 | 
 | 1604 | addx6002 add 2       3       ->  5 | 
 | 1605 | addx6003 add '5.75'  '3.3'   ->  9.05 | 
 | 1606 | addx6004 add '5'     '-3'    ->  2 | 
 | 1607 | addx6005 add '-5'    '-3'    ->  -8 | 
 | 1608 | addx6006 add '-7'    '2.5'   ->  -4.5 | 
 | 1609 | addx6007 add '0.7'   '0.3'   ->  1.0 | 
 | 1610 | addx6008 add '1.25'  '1.25'  ->  2.50 | 
 | 1611 | addx6009 add '1.23456789'  '1.00000000' -> '2.23456789' | 
 | 1612 | addx6010 add '1.23456789'  '1.00000011' -> '2.23456800' | 
 | 1613 |  | 
 | 1614 | addx6011 add '0.44444444444444444'  '0.55555555555555555' -> '1.000000000000000' Inexact Rounded | 
 | 1615 | addx6012 add '0.44444444444444440'  '0.55555555555555555' -> '1.000000000000000' Inexact Rounded | 
 | 1616 | addx6013 add '0.44444444444444444'  '0.55555555555555550' -> '0.9999999999999999' Inexact Rounded | 
 | 1617 | addx6014 add '0.444444444444444449'    '0' -> '0.4444444444444444' Inexact Rounded | 
 | 1618 | addx6015 add '0.4444444444444444499'   '0' -> '0.4444444444444444' Inexact Rounded | 
 | 1619 | addx6016 add '0.44444444444444444999'  '0' -> '0.4444444444444444' Inexact Rounded | 
 | 1620 | addx6017 add '0.44444444444444445000'  '0' -> '0.4444444444444444' Inexact Rounded | 
 | 1621 | addx6018 add '0.44444444444444445001'  '0' -> '0.4444444444444445' Inexact Rounded | 
 | 1622 | addx6019 add '0.4444444444444444501'   '0' -> '0.4444444444444445' Inexact Rounded | 
 | 1623 | addx6020 add '0.444444444444444451'    '0' -> '0.4444444444444445' Inexact Rounded | 
 | 1624 |  | 
 | 1625 | addx6021 add 0 1 -> 1 | 
 | 1626 | addx6022 add 1 1 -> 2 | 
 | 1627 | addx6023 add 2 1 -> 3 | 
 | 1628 | addx6024 add 3 1 -> 4 | 
 | 1629 | addx6025 add 4 1 -> 5 | 
 | 1630 | addx6026 add 5 1 -> 6 | 
 | 1631 | addx6027 add 6 1 -> 7 | 
 | 1632 | addx6028 add 7 1 -> 8 | 
 | 1633 | addx6029 add 8 1 -> 9 | 
 | 1634 | addx6030 add 9 1 -> 10 | 
 | 1635 |  | 
 | 1636 | -- some carrying effects | 
 | 1637 | addx6031 add '0.9998'  '0.0000' -> '0.9998' | 
 | 1638 | addx6032 add '0.9998'  '0.0001' -> '0.9999' | 
 | 1639 | addx6033 add '0.9998'  '0.0002' -> '1.0000' | 
 | 1640 | addx6034 add '0.9998'  '0.0003' -> '1.0001' | 
 | 1641 |  | 
 | 1642 | addx6035 add '70'      '10000e+16' -> '1.000000000000000E+20' Inexact Rounded | 
 | 1643 | addx6036 add '700'     '10000e+16' -> '1.000000000000000E+20' Inexact Rounded | 
 | 1644 | addx6037 add '7000'    '10000e+16' -> '1.000000000000000E+20' Inexact Rounded | 
 | 1645 | addx6038 add '70000'   '10000e+16' -> '1.000000000000001E+20' Inexact Rounded | 
 | 1646 | addx6039 add '700000'  '10000e+16' -> '1.000000000000007E+20' Rounded | 
 | 1647 |  | 
 | 1648 | -- symmetry: | 
 | 1649 | addx6040 add '10000e+16'  '70' -> '1.000000000000000E+20' Inexact Rounded | 
 | 1650 | addx6041 add '10000e+16'  '700' -> '1.000000000000000E+20' Inexact Rounded | 
 | 1651 | addx6042 add '10000e+16'  '7000' -> '1.000000000000000E+20' Inexact Rounded | 
 | 1652 | addx6044 add '10000e+16'  '70000' -> '1.000000000000001E+20' Inexact Rounded | 
 | 1653 | addx6045 add '10000e+16'  '700000' -> '1.000000000000007E+20' Rounded | 
 | 1654 |  | 
 | 1655 | addx6046 add '10000e+9'  '7' -> '10000000000007' | 
 | 1656 | addx6047 add '10000e+9'  '70' -> '10000000000070' | 
 | 1657 | addx6048 add '10000e+9'  '700' -> '10000000000700' | 
 | 1658 | addx6049 add '10000e+9'  '7000' -> '10000000007000' | 
 | 1659 | addx6050 add '10000e+9'  '70000' -> '10000000070000' | 
 | 1660 | addx6051 add '10000e+9'  '700000' -> '10000000700000' | 
 | 1661 |  | 
 | 1662 | -- examples from decarith | 
 | 1663 | addx6053 add '12' '7.00' -> '19.00' | 
 | 1664 | addx6054 add '1.3' '-1.07' -> '0.23' | 
 | 1665 | addx6055 add '1.3' '-1.30' -> '0.00' | 
 | 1666 | addx6056 add '1.3' '-2.07' -> '-0.77' | 
 | 1667 | addx6057 add '1E+2' '1E+4' -> '1.01E+4' | 
 | 1668 |  | 
 | 1669 | -- from above | 
| Facundo Batista | 9401cbe | 2007-11-23 18:14:50 +0000 | [diff] [blame] | 1670 | addx6060 add 1 '0.1' -> '1.1' | 
 | 1671 | addx6061 add 1 '0.01' -> '1.01' | 
 | 1672 | addx6062 add 1 '0.001' -> '1.001' | 
 | 1673 | addx6063 add 1 '0.0001' -> '1.0001' | 
 | 1674 | addx6064 add 1 '0.00001' -> '1.00001' | 
 | 1675 | addx6065 add 1 '0.000001' -> '1.000001' | 
 | 1676 | addx6066 add 1 '0.0000001' -> '1.0000001' | 
 | 1677 | addx6067 add 1 '0.00000001' -> '1.00000001' | 
| Facundo Batista | 353750c | 2007-09-13 18:13:15 +0000 | [diff] [blame] | 1678 |  | 
 | 1679 | -- cancellation to integer | 
| Facundo Batista | 9401cbe | 2007-11-23 18:14:50 +0000 | [diff] [blame] | 1680 | addx6068 add 99999999999999123456789 -99999999999999E+9 -> 123456789 | 
 | 1681 | -- similar from FMA fun | 
 | 1682 | addx6069 add "-1234567890123455.234567890123454" "1234567890123456" -> 0.765432109876546 | 
| Facundo Batista | 353750c | 2007-09-13 18:13:15 +0000 | [diff] [blame] | 1683 |  | 
 | 1684 | -- some funny zeros [in case of bad signum] | 
 | 1685 | addx6070 add 1  0    -> 1 | 
 | 1686 | addx6071 add 1 0.    -> 1 | 
 | 1687 | addx6072 add 1  .0   -> 1.0 | 
 | 1688 | addx6073 add 1 0.0   -> 1.0 | 
 | 1689 | addx6074 add 1 0.00  -> 1.00 | 
 | 1690 | addx6075 add  0  1   -> 1 | 
 | 1691 | addx6076 add 0.  1   -> 1 | 
 | 1692 | addx6077 add  .0 1   -> 1.0 | 
 | 1693 | addx6078 add 0.0 1   -> 1.0 | 
 | 1694 | addx6079 add 0.00 1  -> 1.00 | 
 | 1695 |  | 
 | 1696 | -- some carries | 
 | 1697 | addx6080 add 9999999999999998 1  -> 9999999999999999 | 
 | 1698 | addx6081 add 9999999999999999 1  -> 1.000000000000000E+16 Rounded | 
 | 1699 | addx6082 add  999999999999999 1  -> 1000000000000000 | 
 | 1700 | addx6083 add    9999999999999 1  -> 10000000000000 | 
 | 1701 | addx6084 add      99999999999 1  -> 100000000000 | 
 | 1702 | addx6085 add        999999999 1  -> 1000000000 | 
 | 1703 | addx6086 add          9999999 1  -> 10000000 | 
 | 1704 | addx6087 add            99999 1  -> 100000 | 
 | 1705 | addx6088 add              999 1  -> 1000 | 
 | 1706 | addx6089 add                9 1  -> 10 | 
 | 1707 |  | 
 | 1708 |  | 
 | 1709 | -- more LHS swaps | 
 | 1710 | addx6090 add '-56267E-10'   0 ->  '-0.0000056267' | 
 | 1711 | addx6091 add '-56267E-6'    0 ->  '-0.056267' | 
 | 1712 | addx6092 add '-56267E-5'    0 ->  '-0.56267' | 
 | 1713 | addx6093 add '-56267E-4'    0 ->  '-5.6267' | 
 | 1714 | addx6094 add '-56267E-3'    0 ->  '-56.267' | 
 | 1715 | addx6095 add '-56267E-2'    0 ->  '-562.67' | 
 | 1716 | addx6096 add '-56267E-1'    0 ->  '-5626.7' | 
 | 1717 | addx6097 add '-56267E-0'    0 ->  '-56267' | 
 | 1718 | addx6098 add '-5E-10'       0 ->  '-5E-10' | 
 | 1719 | addx6099 add '-5E-7'        0 ->  '-5E-7' | 
 | 1720 | addx6100 add '-5E-6'        0 ->  '-0.000005' | 
 | 1721 | addx6101 add '-5E-5'        0 ->  '-0.00005' | 
 | 1722 | addx6102 add '-5E-4'        0 ->  '-0.0005' | 
 | 1723 | addx6103 add '-5E-1'        0 ->  '-0.5' | 
 | 1724 | addx6104 add '-5E0'         0 ->  '-5' | 
 | 1725 | addx6105 add '-5E1'         0 ->  '-50' | 
 | 1726 | addx6106 add '-5E5'         0 ->  '-500000' | 
 | 1727 | addx6107 add '-5E15'        0 ->  '-5000000000000000' | 
 | 1728 | addx6108 add '-5E16'        0 ->  '-5.000000000000000E+16'   Rounded | 
 | 1729 | addx6109 add '-5E17'        0 ->  '-5.000000000000000E+17'  Rounded | 
 | 1730 | addx6110 add '-5E18'        0 ->  '-5.000000000000000E+18'  Rounded | 
 | 1731 | addx6111 add '-5E100'       0 ->  '-5.000000000000000E+100' Rounded | 
 | 1732 |  | 
 | 1733 | -- more RHS swaps | 
 | 1734 | addx6113 add 0  '-56267E-10' ->  '-0.0000056267' | 
 | 1735 | addx6114 add 0  '-56267E-6'  ->  '-0.056267' | 
 | 1736 | addx6116 add 0  '-56267E-5'  ->  '-0.56267' | 
 | 1737 | addx6117 add 0  '-56267E-4'  ->  '-5.6267' | 
 | 1738 | addx6119 add 0  '-56267E-3'  ->  '-56.267' | 
 | 1739 | addx6120 add 0  '-56267E-2'  ->  '-562.67' | 
 | 1740 | addx6121 add 0  '-56267E-1'  ->  '-5626.7' | 
 | 1741 | addx6122 add 0  '-56267E-0'  ->  '-56267' | 
 | 1742 | addx6123 add 0  '-5E-10'     ->  '-5E-10' | 
 | 1743 | addx6124 add 0  '-5E-7'      ->  '-5E-7' | 
 | 1744 | addx6125 add 0  '-5E-6'      ->  '-0.000005' | 
 | 1745 | addx6126 add 0  '-5E-5'      ->  '-0.00005' | 
 | 1746 | addx6127 add 0  '-5E-4'      ->  '-0.0005' | 
 | 1747 | addx6128 add 0  '-5E-1'      ->  '-0.5' | 
 | 1748 | addx6129 add 0  '-5E0'       ->  '-5' | 
 | 1749 | addx6130 add 0  '-5E1'       ->  '-50' | 
 | 1750 | addx6131 add 0  '-5E5'       ->  '-500000' | 
 | 1751 | addx6132 add 0  '-5E15'      ->  '-5000000000000000' | 
 | 1752 | addx6133 add 0  '-5E16'      ->  '-5.000000000000000E+16'   Rounded | 
 | 1753 | addx6134 add 0  '-5E17'      ->  '-5.000000000000000E+17'   Rounded | 
 | 1754 | addx6135 add 0  '-5E18'      ->  '-5.000000000000000E+18'   Rounded | 
 | 1755 | addx6136 add 0  '-5E100'     ->  '-5.000000000000000E+100'  Rounded | 
 | 1756 |  | 
 | 1757 | -- related | 
 | 1758 | addx6137 add  1  '0E-19'      ->  '1.000000000000000'  Rounded | 
 | 1759 | addx6138 add -1  '0E-19'      ->  '-1.000000000000000' Rounded | 
 | 1760 | addx6139 add '0E-19' 1        ->  '1.000000000000000'  Rounded | 
 | 1761 | addx6140 add '0E-19' -1       ->  '-1.000000000000000' Rounded | 
 | 1762 | addx6141 add 1E+11   0.0000   ->  '100000000000.0000' | 
 | 1763 | addx6142 add 1E+11   0.00000  ->  '100000000000.0000'  Rounded | 
 | 1764 | addx6143 add 0.000   1E+12    ->  '1000000000000.000' | 
 | 1765 | addx6144 add 0.0000  1E+12    ->  '1000000000000.000'  Rounded | 
 | 1766 |  | 
 | 1767 | -- [some of the next group are really constructor tests] | 
 | 1768 | addx6146 add '00.0'  0       ->  '0.0' | 
 | 1769 | addx6147 add '0.00'  0       ->  '0.00' | 
 | 1770 | addx6148 add  0      '0.00'  ->  '0.00' | 
 | 1771 | addx6149 add  0      '00.0'  ->  '0.0' | 
 | 1772 | addx6150 add '00.0'  '0.00'  ->  '0.00' | 
 | 1773 | addx6151 add '0.00'  '00.0'  ->  '0.00' | 
 | 1774 | addx6152 add '3'     '.3'    ->  '3.3' | 
 | 1775 | addx6153 add '3.'    '.3'    ->  '3.3' | 
 | 1776 | addx6154 add '3.0'   '.3'    ->  '3.3' | 
 | 1777 | addx6155 add '3.00'  '.3'    ->  '3.30' | 
 | 1778 | addx6156 add '3'     '3'     ->  '6' | 
 | 1779 | addx6157 add '3'     '+3'    ->  '6' | 
 | 1780 | addx6158 add '3'     '-3'    ->  '0' | 
 | 1781 | addx6159 add '0.3'   '-0.3'  ->  '0.0' | 
 | 1782 | addx6160 add '0.03'  '-0.03' ->  '0.00' | 
 | 1783 |  | 
 | 1784 | -- try borderline precision, with carries, etc. | 
 | 1785 | addx6161 add '1E+13' '-1'    -> '9999999999999' | 
 | 1786 | addx6162 add '1E+13'  '1.11' -> '10000000000001.11' | 
 | 1787 | addx6163 add '1.11'  '1E+13' -> '10000000000001.11' | 
 | 1788 | addx6164 add '-1'    '1E+13' -> '9999999999999' | 
 | 1789 | addx6165 add '7E+13' '-1'    -> '69999999999999' | 
 | 1790 | addx6166 add '7E+13'  '1.11' -> '70000000000001.11' | 
 | 1791 | addx6167 add '1.11'  '7E+13' -> '70000000000001.11' | 
 | 1792 | addx6168 add '-1'    '7E+13' -> '69999999999999' | 
 | 1793 |  | 
 | 1794 | --             1234567890123456      1234567890123456      1 234567890123456 | 
 | 1795 | addx6170 add '0.4444444444444444'  '0.5555555555555563' -> '1.000000000000001' Inexact Rounded | 
 | 1796 | addx6171 add '0.4444444444444444'  '0.5555555555555562' -> '1.000000000000001' Inexact Rounded | 
 | 1797 | addx6172 add '0.4444444444444444'  '0.5555555555555561' -> '1.000000000000000' Inexact Rounded | 
 | 1798 | addx6173 add '0.4444444444444444'  '0.5555555555555560' -> '1.000000000000000' Inexact Rounded | 
 | 1799 | addx6174 add '0.4444444444444444'  '0.5555555555555559' -> '1.000000000000000' Inexact Rounded | 
 | 1800 | addx6175 add '0.4444444444444444'  '0.5555555555555558' -> '1.000000000000000' Inexact Rounded | 
 | 1801 | addx6176 add '0.4444444444444444'  '0.5555555555555557' -> '1.000000000000000' Inexact Rounded | 
 | 1802 | addx6177 add '0.4444444444444444'  '0.5555555555555556' -> '1.000000000000000' Rounded | 
 | 1803 | addx6178 add '0.4444444444444444'  '0.5555555555555555' -> '0.9999999999999999' | 
 | 1804 | addx6179 add '0.4444444444444444'  '0.5555555555555554' -> '0.9999999999999998' | 
 | 1805 | addx6180 add '0.4444444444444444'  '0.5555555555555553' -> '0.9999999999999997' | 
 | 1806 | addx6181 add '0.4444444444444444'  '0.5555555555555552' -> '0.9999999999999996' | 
 | 1807 | addx6182 add '0.4444444444444444'  '0.5555555555555551' -> '0.9999999999999995' | 
 | 1808 | addx6183 add '0.4444444444444444'  '0.5555555555555550' -> '0.9999999999999994' | 
 | 1809 |  | 
 | 1810 | -- and some more, including residue effects and different roundings | 
 | 1811 | rounding: half_up | 
 | 1812 | addx6200 add '6543210123456789' 0             -> '6543210123456789' | 
 | 1813 | addx6201 add '6543210123456789' 0.000000001   -> '6543210123456789' Inexact Rounded | 
 | 1814 | addx6202 add '6543210123456789' 0.000001      -> '6543210123456789' Inexact Rounded | 
 | 1815 | addx6203 add '6543210123456789' 0.1           -> '6543210123456789' Inexact Rounded | 
 | 1816 | addx6204 add '6543210123456789' 0.4           -> '6543210123456789' Inexact Rounded | 
 | 1817 | addx6205 add '6543210123456789' 0.49          -> '6543210123456789' Inexact Rounded | 
 | 1818 | addx6206 add '6543210123456789' 0.499999      -> '6543210123456789' Inexact Rounded | 
 | 1819 | addx6207 add '6543210123456789' 0.499999999   -> '6543210123456789' Inexact Rounded | 
 | 1820 | addx6208 add '6543210123456789' 0.5           -> '6543210123456790' Inexact Rounded | 
 | 1821 | addx6209 add '6543210123456789' 0.500000001   -> '6543210123456790' Inexact Rounded | 
 | 1822 | addx6210 add '6543210123456789' 0.500001      -> '6543210123456790' Inexact Rounded | 
 | 1823 | addx6211 add '6543210123456789' 0.51          -> '6543210123456790' Inexact Rounded | 
 | 1824 | addx6212 add '6543210123456789' 0.6           -> '6543210123456790' Inexact Rounded | 
 | 1825 | addx6213 add '6543210123456789' 0.9           -> '6543210123456790' Inexact Rounded | 
 | 1826 | addx6214 add '6543210123456789' 0.99999       -> '6543210123456790' Inexact Rounded | 
 | 1827 | addx6215 add '6543210123456789' 0.999999999   -> '6543210123456790' Inexact Rounded | 
 | 1828 | addx6216 add '6543210123456789' 1             -> '6543210123456790' | 
 | 1829 | addx6217 add '6543210123456789' 1.000000001   -> '6543210123456790' Inexact Rounded | 
 | 1830 | addx6218 add '6543210123456789' 1.00001       -> '6543210123456790' Inexact Rounded | 
 | 1831 | addx6219 add '6543210123456789' 1.1           -> '6543210123456790' Inexact Rounded | 
 | 1832 |  | 
 | 1833 | rounding: half_even | 
 | 1834 | addx6220 add '6543210123456789' 0             -> '6543210123456789' | 
 | 1835 | addx6221 add '6543210123456789' 0.000000001   -> '6543210123456789' Inexact Rounded | 
 | 1836 | addx6222 add '6543210123456789' 0.000001      -> '6543210123456789' Inexact Rounded | 
 | 1837 | addx6223 add '6543210123456789' 0.1           -> '6543210123456789' Inexact Rounded | 
 | 1838 | addx6224 add '6543210123456789' 0.4           -> '6543210123456789' Inexact Rounded | 
 | 1839 | addx6225 add '6543210123456789' 0.49          -> '6543210123456789' Inexact Rounded | 
 | 1840 | addx6226 add '6543210123456789' 0.499999      -> '6543210123456789' Inexact Rounded | 
 | 1841 | addx6227 add '6543210123456789' 0.499999999   -> '6543210123456789' Inexact Rounded | 
 | 1842 | addx6228 add '6543210123456789' 0.5           -> '6543210123456790' Inexact Rounded | 
 | 1843 | addx6229 add '6543210123456789' 0.500000001   -> '6543210123456790' Inexact Rounded | 
 | 1844 | addx6230 add '6543210123456789' 0.500001      -> '6543210123456790' Inexact Rounded | 
 | 1845 | addx6231 add '6543210123456789' 0.51          -> '6543210123456790' Inexact Rounded | 
 | 1846 | addx6232 add '6543210123456789' 0.6           -> '6543210123456790' Inexact Rounded | 
 | 1847 | addx6233 add '6543210123456789' 0.9           -> '6543210123456790' Inexact Rounded | 
 | 1848 | addx6234 add '6543210123456789' 0.99999       -> '6543210123456790' Inexact Rounded | 
 | 1849 | addx6235 add '6543210123456789' 0.999999999   -> '6543210123456790' Inexact Rounded | 
 | 1850 | addx6236 add '6543210123456789' 1             -> '6543210123456790' | 
 | 1851 | addx6237 add '6543210123456789' 1.00000001    -> '6543210123456790' Inexact Rounded | 
 | 1852 | addx6238 add '6543210123456789' 1.00001       -> '6543210123456790' Inexact Rounded | 
 | 1853 | addx6239 add '6543210123456789' 1.1           -> '6543210123456790' Inexact Rounded | 
 | 1854 | -- critical few with even bottom digit... | 
 | 1855 | addx6240 add '6543210123456788' 0.499999999   -> '6543210123456788' Inexact Rounded | 
 | 1856 | addx6241 add '6543210123456788' 0.5           -> '6543210123456788' Inexact Rounded | 
 | 1857 | addx6242 add '6543210123456788' 0.500000001   -> '6543210123456789' Inexact Rounded | 
 | 1858 |  | 
 | 1859 | rounding: down | 
 | 1860 | addx6250 add '6543210123456789' 0             -> '6543210123456789' | 
 | 1861 | addx6251 add '6543210123456789' 0.000000001   -> '6543210123456789' Inexact Rounded | 
 | 1862 | addx6252 add '6543210123456789' 0.000001      -> '6543210123456789' Inexact Rounded | 
 | 1863 | addx6253 add '6543210123456789' 0.1           -> '6543210123456789' Inexact Rounded | 
 | 1864 | addx6254 add '6543210123456789' 0.4           -> '6543210123456789' Inexact Rounded | 
 | 1865 | addx6255 add '6543210123456789' 0.49          -> '6543210123456789' Inexact Rounded | 
 | 1866 | addx6256 add '6543210123456789' 0.499999      -> '6543210123456789' Inexact Rounded | 
 | 1867 | addx6257 add '6543210123456789' 0.499999999   -> '6543210123456789' Inexact Rounded | 
 | 1868 | addx6258 add '6543210123456789' 0.5           -> '6543210123456789' Inexact Rounded | 
 | 1869 | addx6259 add '6543210123456789' 0.500000001   -> '6543210123456789' Inexact Rounded | 
 | 1870 | addx6260 add '6543210123456789' 0.500001      -> '6543210123456789' Inexact Rounded | 
 | 1871 | addx6261 add '6543210123456789' 0.51          -> '6543210123456789' Inexact Rounded | 
 | 1872 | addx6262 add '6543210123456789' 0.6           -> '6543210123456789' Inexact Rounded | 
 | 1873 | addx6263 add '6543210123456789' 0.9           -> '6543210123456789' Inexact Rounded | 
 | 1874 | addx6264 add '6543210123456789' 0.99999       -> '6543210123456789' Inexact Rounded | 
 | 1875 | addx6265 add '6543210123456789' 0.999999999   -> '6543210123456789' Inexact Rounded | 
 | 1876 | addx6266 add '6543210123456789' 1             -> '6543210123456790' | 
 | 1877 | addx6267 add '6543210123456789' 1.00000001    -> '6543210123456790' Inexact Rounded | 
 | 1878 | addx6268 add '6543210123456789' 1.00001       -> '6543210123456790' Inexact Rounded | 
 | 1879 | addx6269 add '6543210123456789' 1.1           -> '6543210123456790' Inexact Rounded | 
 | 1880 |  | 
 | 1881 | -- 1 in last place tests | 
 | 1882 | rounding: half_even | 
 | 1883 | addx6301 add  -1   1      ->   0 | 
 | 1884 | addx6302 add   0   1      ->   1 | 
 | 1885 | addx6303 add   1   1      ->   2 | 
 | 1886 | addx6304 add  12   1      ->  13 | 
 | 1887 | addx6305 add  98   1      ->  99 | 
 | 1888 | addx6306 add  99   1      -> 100 | 
 | 1889 | addx6307 add 100   1      -> 101 | 
 | 1890 | addx6308 add 101   1      -> 102 | 
 | 1891 | addx6309 add  -1  -1      ->  -2 | 
 | 1892 | addx6310 add   0  -1      ->  -1 | 
 | 1893 | addx6311 add   1  -1      ->   0 | 
 | 1894 | addx6312 add  12  -1      ->  11 | 
 | 1895 | addx6313 add  98  -1      ->  97 | 
 | 1896 | addx6314 add  99  -1      ->  98 | 
 | 1897 | addx6315 add 100  -1      ->  99 | 
 | 1898 | addx6316 add 101  -1      -> 100 | 
 | 1899 |  | 
 | 1900 | addx6321 add -0.01  0.01    ->  0.00 | 
 | 1901 | addx6322 add  0.00  0.01    ->  0.01 | 
 | 1902 | addx6323 add  0.01  0.01    ->  0.02 | 
 | 1903 | addx6324 add  0.12  0.01    ->  0.13 | 
 | 1904 | addx6325 add  0.98  0.01    ->  0.99 | 
 | 1905 | addx6326 add  0.99  0.01    ->  1.00 | 
 | 1906 | addx6327 add  1.00  0.01    ->  1.01 | 
 | 1907 | addx6328 add  1.01  0.01    ->  1.02 | 
 | 1908 | addx6329 add -0.01 -0.01    -> -0.02 | 
 | 1909 | addx6330 add  0.00 -0.01    -> -0.01 | 
 | 1910 | addx6331 add  0.01 -0.01    ->  0.00 | 
 | 1911 | addx6332 add  0.12 -0.01    ->  0.11 | 
 | 1912 | addx6333 add  0.98 -0.01    ->  0.97 | 
 | 1913 | addx6334 add  0.99 -0.01    ->  0.98 | 
 | 1914 | addx6335 add  1.00 -0.01    ->  0.99 | 
 | 1915 | addx6336 add  1.01 -0.01    ->  1.00 | 
 | 1916 |  | 
 | 1917 | -- some more cases where adding 0 affects the coefficient | 
 | 1918 | addx6340 add 1E+3    0    ->         1000 | 
 | 1919 | addx6341 add 1E+15   0    ->    1000000000000000 | 
 | 1920 | addx6342 add 1E+16   0    ->   1.000000000000000E+16  Rounded | 
 | 1921 | addx6343 add 1E+17   0    ->   1.000000000000000E+17  Rounded | 
 | 1922 | -- which simply follow from these cases ... | 
 | 1923 | addx6344 add 1E+3    1    ->         1001 | 
 | 1924 | addx6345 add 1E+15   1    ->    1000000000000001 | 
 | 1925 | addx6346 add 1E+16   1    ->   1.000000000000000E+16  Inexact Rounded | 
 | 1926 | addx6347 add 1E+17   1    ->   1.000000000000000E+17  Inexact Rounded | 
 | 1927 | addx6348 add 1E+3    7    ->         1007 | 
 | 1928 | addx6349 add 1E+15   7    ->    1000000000000007 | 
 | 1929 | addx6350 add 1E+16   7    ->   1.000000000000001E+16  Inexact Rounded | 
 | 1930 | addx6351 add 1E+17   7    ->   1.000000000000000E+17  Inexact Rounded | 
 | 1931 |  | 
 | 1932 | -- tryzeros cases | 
 | 1933 | addx6361  add 0E+50 10000E+1  -> 1.0000E+5 | 
 | 1934 | addx6362  add 10000E+1 0E-50  -> 100000.0000000000  Rounded | 
 | 1935 | addx6363  add 10000E+1 10000E-50  -> 100000.0000000000  Rounded Inexact | 
 | 1936 | addx6364  add 12.34    0e-398  -> 12.34000000000000  Rounded | 
 | 1937 |  | 
 | 1938 | -- ulp replacement tests | 
 | 1939 | addx6400 add   1   77e-14      ->  1.00000000000077 | 
 | 1940 | addx6401 add   1   77e-15      ->  1.000000000000077 | 
 | 1941 | addx6402 add   1   77e-16      ->  1.000000000000008 Inexact Rounded | 
 | 1942 | addx6403 add   1   77e-17      ->  1.000000000000001 Inexact Rounded | 
 | 1943 | addx6404 add   1   77e-18      ->  1.000000000000000 Inexact Rounded | 
 | 1944 | addx6405 add   1   77e-19      ->  1.000000000000000 Inexact Rounded | 
 | 1945 | addx6406 add   1   77e-99      ->  1.000000000000000 Inexact Rounded | 
 | 1946 |  | 
 | 1947 | addx6410 add  10   77e-14      ->  10.00000000000077 | 
 | 1948 | addx6411 add  10   77e-15      ->  10.00000000000008 Inexact Rounded | 
 | 1949 | addx6412 add  10   77e-16      ->  10.00000000000001 Inexact Rounded | 
 | 1950 | addx6413 add  10   77e-17      ->  10.00000000000000 Inexact Rounded | 
 | 1951 | addx6414 add  10   77e-18      ->  10.00000000000000 Inexact Rounded | 
 | 1952 | addx6415 add  10   77e-19      ->  10.00000000000000 Inexact Rounded | 
 | 1953 | addx6416 add  10   77e-99      ->  10.00000000000000 Inexact Rounded | 
 | 1954 |  | 
 | 1955 | addx6420 add  77e-14       1   ->  1.00000000000077 | 
 | 1956 | addx6421 add  77e-15       1   ->  1.000000000000077 | 
 | 1957 | addx6422 add  77e-16       1   ->  1.000000000000008 Inexact Rounded | 
 | 1958 | addx6423 add  77e-17       1   ->  1.000000000000001 Inexact Rounded | 
 | 1959 | addx6424 add  77e-18       1   ->  1.000000000000000 Inexact Rounded | 
 | 1960 | addx6425 add  77e-19       1   ->  1.000000000000000 Inexact Rounded | 
 | 1961 | addx6426 add  77e-99       1   ->  1.000000000000000 Inexact Rounded | 
 | 1962 |  | 
 | 1963 | addx6430 add  77e-14      10   ->  10.00000000000077 | 
 | 1964 | addx6431 add  77e-15      10   ->  10.00000000000008 Inexact Rounded | 
 | 1965 | addx6432 add  77e-16      10   ->  10.00000000000001 Inexact Rounded | 
 | 1966 | addx6433 add  77e-17      10   ->  10.00000000000000 Inexact Rounded | 
 | 1967 | addx6434 add  77e-18      10   ->  10.00000000000000 Inexact Rounded | 
 | 1968 | addx6435 add  77e-19      10   ->  10.00000000000000 Inexact Rounded | 
 | 1969 | addx6436 add  77e-99      10   ->  10.00000000000000 Inexact Rounded | 
 | 1970 |  | 
 | 1971 | -- negative ulps | 
 | 1972 | addx6440 add   1   -77e-14      ->  0.99999999999923 | 
 | 1973 | addx6441 add   1   -77e-15      ->  0.999999999999923 | 
 | 1974 | addx6442 add   1   -77e-16      ->  0.9999999999999923 | 
 | 1975 | addx6443 add   1   -77e-17      ->  0.9999999999999992 Inexact Rounded | 
 | 1976 | addx6444 add   1   -77e-18      ->  0.9999999999999999 Inexact Rounded | 
 | 1977 | addx6445 add   1   -77e-19      ->  1.000000000000000 Inexact Rounded | 
 | 1978 | addx6446 add   1   -77e-99      ->  1.000000000000000 Inexact Rounded | 
 | 1979 |  | 
 | 1980 | addx6450 add  10   -77e-14      ->   9.99999999999923 | 
 | 1981 | addx6451 add  10   -77e-15      ->   9.999999999999923 | 
 | 1982 | addx6452 add  10   -77e-16      ->   9.999999999999992 Inexact Rounded | 
 | 1983 | addx6453 add  10   -77e-17      ->   9.999999999999999 Inexact Rounded | 
 | 1984 | addx6454 add  10   -77e-18      ->  10.00000000000000 Inexact Rounded | 
 | 1985 | addx6455 add  10   -77e-19      ->  10.00000000000000 Inexact Rounded | 
 | 1986 | addx6456 add  10   -77e-99      ->  10.00000000000000 Inexact Rounded | 
 | 1987 |  | 
 | 1988 | addx6460 add  -77e-14       1   ->  0.99999999999923 | 
 | 1989 | addx6461 add  -77e-15       1   ->  0.999999999999923 | 
 | 1990 | addx6462 add  -77e-16       1   ->  0.9999999999999923 | 
 | 1991 | addx6463 add  -77e-17       1   ->  0.9999999999999992 Inexact Rounded | 
 | 1992 | addx6464 add  -77e-18       1   ->  0.9999999999999999 Inexact Rounded | 
 | 1993 | addx6465 add  -77e-19       1   ->  1.000000000000000 Inexact Rounded | 
 | 1994 | addx6466 add  -77e-99       1   ->  1.000000000000000 Inexact Rounded | 
 | 1995 |  | 
 | 1996 | addx6470 add  -77e-14      10   ->   9.99999999999923 | 
 | 1997 | addx6471 add  -77e-15      10   ->   9.999999999999923 | 
 | 1998 | addx6472 add  -77e-16      10   ->   9.999999999999992 Inexact Rounded | 
 | 1999 | addx6473 add  -77e-17      10   ->   9.999999999999999 Inexact Rounded | 
 | 2000 | addx6474 add  -77e-18      10   ->  10.00000000000000 Inexact Rounded | 
 | 2001 | addx6475 add  -77e-19      10   ->  10.00000000000000 Inexact Rounded | 
 | 2002 | addx6476 add  -77e-99      10   ->  10.00000000000000 Inexact Rounded | 
 | 2003 |  | 
 | 2004 | -- negative ulps | 
 | 2005 | addx6480 add  -1    77e-14      ->  -0.99999999999923 | 
 | 2006 | addx6481 add  -1    77e-15      ->  -0.999999999999923 | 
 | 2007 | addx6482 add  -1    77e-16      ->  -0.9999999999999923 | 
 | 2008 | addx6483 add  -1    77e-17      ->  -0.9999999999999992 Inexact Rounded | 
 | 2009 | addx6484 add  -1    77e-18      ->  -0.9999999999999999 Inexact Rounded | 
 | 2010 | addx6485 add  -1    77e-19      ->  -1.000000000000000 Inexact Rounded | 
 | 2011 | addx6486 add  -1    77e-99      ->  -1.000000000000000 Inexact Rounded | 
 | 2012 |  | 
 | 2013 | addx6490 add -10    77e-14      ->   -9.99999999999923 | 
 | 2014 | addx6491 add -10    77e-15      ->   -9.999999999999923 | 
 | 2015 | addx6492 add -10    77e-16      ->   -9.999999999999992 Inexact Rounded | 
 | 2016 | addx6493 add -10    77e-17      ->   -9.999999999999999 Inexact Rounded | 
 | 2017 | addx6494 add -10    77e-18      ->  -10.00000000000000 Inexact Rounded | 
 | 2018 | addx6495 add -10    77e-19      ->  -10.00000000000000 Inexact Rounded | 
 | 2019 | addx6496 add -10    77e-99      ->  -10.00000000000000 Inexact Rounded | 
 | 2020 |  | 
 | 2021 | addx6500 add   77e-14      -1   ->  -0.99999999999923 | 
 | 2022 | addx6501 add   77e-15      -1   ->  -0.999999999999923 | 
 | 2023 | addx6502 add   77e-16      -1   ->  -0.9999999999999923 | 
 | 2024 | addx6503 add   77e-17      -1   ->  -0.9999999999999992 Inexact Rounded | 
 | 2025 | addx6504 add   77e-18      -1   ->  -0.9999999999999999 Inexact Rounded | 
 | 2026 | addx6505 add   77e-19      -1   ->  -1.000000000000000 Inexact Rounded | 
 | 2027 | addx6506 add   77e-99      -1   ->  -1.000000000000000 Inexact Rounded | 
 | 2028 |  | 
 | 2029 | addx6510 add   77e-14      -10  ->   -9.99999999999923 | 
 | 2030 | addx6511 add   77e-15      -10  ->   -9.999999999999923 | 
 | 2031 | addx6512 add   77e-16      -10  ->   -9.999999999999992 Inexact Rounded | 
 | 2032 | addx6513 add   77e-17      -10  ->   -9.999999999999999 Inexact Rounded | 
 | 2033 | addx6514 add   77e-18      -10  ->  -10.00000000000000 Inexact Rounded | 
 | 2034 | addx6515 add   77e-19      -10  ->  -10.00000000000000 Inexact Rounded | 
 | 2035 | addx6516 add   77e-99      -10  ->  -10.00000000000000 Inexact Rounded | 
 | 2036 |  | 
 | 2037 |  | 
 | 2038 | -- long operands | 
 | 2039 | addx6521 add 101234562345678000 0 -> 1.012345623456780E+17 Rounded | 
 | 2040 | addx6522 add 0 101234562345678000 -> 1.012345623456780E+17 Rounded | 
 | 2041 | addx6523 add 10123456234567800  0 -> 1.012345623456780E+16 Rounded | 
 | 2042 | addx6524 add 0 10123456234567800  -> 1.012345623456780E+16 Rounded | 
 | 2043 | addx6525 add 10123456234567890  0 -> 1.012345623456789E+16 Rounded | 
 | 2044 | addx6526 add 0 10123456234567890  -> 1.012345623456789E+16 Rounded | 
 | 2045 | addx6527 add 10123456234567891  0 -> 1.012345623456789E+16 Inexact Rounded | 
 | 2046 | addx6528 add 0 10123456234567891  -> 1.012345623456789E+16 Inexact Rounded | 
 | 2047 | addx6529 add 101234562345678901 0 -> 1.012345623456789E+17 Inexact Rounded | 
 | 2048 | addx6530 add 0 101234562345678901 -> 1.012345623456789E+17 Inexact Rounded | 
 | 2049 | addx6531 add 10123456234567896  0 -> 1.012345623456790E+16 Inexact Rounded | 
 | 2050 | addx6532 add 0 10123456234567896  -> 1.012345623456790E+16 Inexact Rounded | 
 | 2051 |  | 
 | 2052 | -- verify a query | 
 | 2053 | rounding:     down | 
 | 2054 | addx6561 add 1e-398 9.000000000000000E+384 -> 9.000000000000000E+384 Inexact Rounded | 
 | 2055 | addx6562 add      0 9.000000000000000E+384 -> 9.000000000000000E+384 Rounded | 
 | 2056 | -- and using decimal64 bounds... | 
 | 2057 | rounding:     down | 
 | 2058 | addx6563 add 1e-388 9.000000000000000E+374 -> 9.000000000000000E+374 Inexact Rounded | 
 | 2059 | addx6564 add      0 9.000000000000000E+374 -> 9.000000000000000E+374 Rounded | 
 | 2060 |  | 
 | 2061 | -- more zeros, etc. | 
 | 2062 | rounding: half_even | 
 | 2063 |  | 
 | 2064 | addx6701 add 5.00 1.00E-3 -> 5.00100 | 
 | 2065 | addx6702 add 00.00 0.000  -> 0.000 | 
 | 2066 | addx6703 add 00.00 0E-3   -> 0.000 | 
 | 2067 | addx6704 add 0E-3  00.00  -> 0.000 | 
 | 2068 |  | 
 | 2069 | addx6710 add 0E+3  00.00  -> 0.00 | 
 | 2070 | addx6711 add 0E+3  00.0   -> 0.0 | 
 | 2071 | addx6712 add 0E+3  00.    -> 0 | 
 | 2072 | addx6713 add 0E+3  00.E+1 -> 0E+1 | 
 | 2073 | addx6714 add 0E+3  00.E+2 -> 0E+2 | 
 | 2074 | addx6715 add 0E+3  00.E+3 -> 0E+3 | 
 | 2075 | addx6716 add 0E+3  00.E+4 -> 0E+3 | 
 | 2076 | addx6717 add 0E+3  00.E+5 -> 0E+3 | 
 | 2077 | addx6718 add 0E+3  -00.0   -> 0.0 | 
 | 2078 | addx6719 add 0E+3  -00.    -> 0 | 
 | 2079 | addx6731 add 0E+3  -00.E+1 -> 0E+1 | 
 | 2080 |  | 
 | 2081 | addx6720 add 00.00  0E+3  -> 0.00 | 
 | 2082 | addx6721 add 00.0   0E+3  -> 0.0 | 
 | 2083 | addx6722 add 00.    0E+3  -> 0 | 
 | 2084 | addx6723 add 00.E+1 0E+3  -> 0E+1 | 
 | 2085 | addx6724 add 00.E+2 0E+3  -> 0E+2 | 
 | 2086 | addx6725 add 00.E+3 0E+3  -> 0E+3 | 
 | 2087 | addx6726 add 00.E+4 0E+3  -> 0E+3 | 
 | 2088 | addx6727 add 00.E+5 0E+3  -> 0E+3 | 
 | 2089 | addx6728 add -00.00 0E+3  -> 0.00 | 
 | 2090 | addx6729 add -00.0  0E+3  -> 0.0 | 
 | 2091 | addx6730 add -00.   0E+3  -> 0 | 
 | 2092 |  | 
 | 2093 | addx6732 add  0     0     ->  0 | 
 | 2094 | addx6733 add  0    -0     ->  0 | 
 | 2095 | addx6734 add -0     0     ->  0 | 
 | 2096 | addx6735 add -0    -0     -> -0     -- IEEE 854 special case | 
 | 2097 |  | 
 | 2098 | addx6736 add  1    -1     ->  0 | 
 | 2099 | addx6737 add -1    -1     -> -2 | 
 | 2100 | addx6738 add  1     1     ->  2 | 
 | 2101 | addx6739 add -1     1     ->  0 | 
 | 2102 |  | 
 | 2103 | addx6741 add  0    -1     -> -1 | 
 | 2104 | addx6742 add -0    -1     -> -1 | 
 | 2105 | addx6743 add  0     1     ->  1 | 
 | 2106 | addx6744 add -0     1     ->  1 | 
 | 2107 | addx6745 add -1     0     -> -1 | 
 | 2108 | addx6746 add -1    -0     -> -1 | 
 | 2109 | addx6747 add  1     0     ->  1 | 
 | 2110 | addx6748 add  1    -0     ->  1 | 
 | 2111 |  | 
 | 2112 | addx6751 add  0.0  -1     -> -1.0 | 
 | 2113 | addx6752 add -0.0  -1     -> -1.0 | 
 | 2114 | addx6753 add  0.0   1     ->  1.0 | 
 | 2115 | addx6754 add -0.0   1     ->  1.0 | 
 | 2116 | addx6755 add -1.0   0     -> -1.0 | 
 | 2117 | addx6756 add -1.0  -0     -> -1.0 | 
 | 2118 | addx6757 add  1.0   0     ->  1.0 | 
 | 2119 | addx6758 add  1.0  -0     ->  1.0 | 
 | 2120 |  | 
 | 2121 | addx6761 add  0    -1.0   -> -1.0 | 
 | 2122 | addx6762 add -0    -1.0   -> -1.0 | 
 | 2123 | addx6763 add  0     1.0   ->  1.0 | 
 | 2124 | addx6764 add -0     1.0   ->  1.0 | 
 | 2125 | addx6765 add -1     0.0   -> -1.0 | 
 | 2126 | addx6766 add -1    -0.0   -> -1.0 | 
 | 2127 | addx6767 add  1     0.0   ->  1.0 | 
 | 2128 | addx6768 add  1    -0.0   ->  1.0 | 
 | 2129 |  | 
 | 2130 | addx6771 add  0.0  -1.0   -> -1.0 | 
 | 2131 | addx6772 add -0.0  -1.0   -> -1.0 | 
 | 2132 | addx6773 add  0.0   1.0   ->  1.0 | 
 | 2133 | addx6774 add -0.0   1.0   ->  1.0 | 
 | 2134 | addx6775 add -1.0   0.0   -> -1.0 | 
 | 2135 | addx6776 add -1.0  -0.0   -> -1.0 | 
 | 2136 | addx6777 add  1.0   0.0   ->  1.0 | 
 | 2137 | addx6778 add  1.0  -0.0   ->  1.0 | 
 | 2138 |  | 
 | 2139 | -- Specials | 
 | 2140 | addx6780 add -Inf  -Inf   -> -Infinity | 
 | 2141 | addx6781 add -Inf  -1000  -> -Infinity | 
 | 2142 | addx6782 add -Inf  -1     -> -Infinity | 
 | 2143 | addx6783 add -Inf  -0     -> -Infinity | 
 | 2144 | addx6784 add -Inf   0     -> -Infinity | 
 | 2145 | addx6785 add -Inf   1     -> -Infinity | 
 | 2146 | addx6786 add -Inf   1000  -> -Infinity | 
 | 2147 | addx6787 add -1000 -Inf   -> -Infinity | 
 | 2148 | addx6788 add -Inf  -Inf   -> -Infinity | 
 | 2149 | addx6789 add -1    -Inf   -> -Infinity | 
 | 2150 | addx6790 add -0    -Inf   -> -Infinity | 
 | 2151 | addx6791 add  0    -Inf   -> -Infinity | 
 | 2152 | addx6792 add  1    -Inf   -> -Infinity | 
 | 2153 | addx6793 add  1000 -Inf   -> -Infinity | 
 | 2154 | addx6794 add  Inf  -Inf   ->  NaN  Invalid_operation | 
 | 2155 |  | 
 | 2156 | addx6800 add  Inf  -Inf   ->  NaN  Invalid_operation | 
 | 2157 | addx6801 add  Inf  -1000  ->  Infinity | 
 | 2158 | addx6802 add  Inf  -1     ->  Infinity | 
 | 2159 | addx6803 add  Inf  -0     ->  Infinity | 
 | 2160 | addx6804 add  Inf   0     ->  Infinity | 
 | 2161 | addx6805 add  Inf   1     ->  Infinity | 
 | 2162 | addx6806 add  Inf   1000  ->  Infinity | 
 | 2163 | addx6807 add  Inf   Inf   ->  Infinity | 
 | 2164 | addx6808 add -1000  Inf   ->  Infinity | 
 | 2165 | addx6809 add -Inf   Inf   ->  NaN  Invalid_operation | 
 | 2166 | addx6810 add -1     Inf   ->  Infinity | 
 | 2167 | addx6811 add -0     Inf   ->  Infinity | 
 | 2168 | addx6812 add  0     Inf   ->  Infinity | 
 | 2169 | addx6813 add  1     Inf   ->  Infinity | 
 | 2170 | addx6814 add  1000  Inf   ->  Infinity | 
 | 2171 | addx6815 add  Inf   Inf   ->  Infinity | 
 | 2172 |  | 
 | 2173 | addx6821 add  NaN -Inf    ->  NaN | 
 | 2174 | addx6822 add  NaN -1000   ->  NaN | 
 | 2175 | addx6823 add  NaN -1      ->  NaN | 
 | 2176 | addx6824 add  NaN -0      ->  NaN | 
 | 2177 | addx6825 add  NaN  0      ->  NaN | 
 | 2178 | addx6826 add  NaN  1      ->  NaN | 
 | 2179 | addx6827 add  NaN  1000   ->  NaN | 
 | 2180 | addx6828 add  NaN  Inf    ->  NaN | 
 | 2181 | addx6829 add  NaN  NaN    ->  NaN | 
 | 2182 | addx6830 add -Inf  NaN    ->  NaN | 
 | 2183 | addx6831 add -1000 NaN    ->  NaN | 
 | 2184 | addx6832 add -1    NaN    ->  NaN | 
 | 2185 | addx6833 add -0    NaN    ->  NaN | 
 | 2186 | addx6834 add  0    NaN    ->  NaN | 
 | 2187 | addx6835 add  1    NaN    ->  NaN | 
 | 2188 | addx6836 add  1000 NaN    ->  NaN | 
 | 2189 | addx6837 add  Inf  NaN    ->  NaN | 
 | 2190 |  | 
 | 2191 | addx6841 add  sNaN -Inf   ->  NaN  Invalid_operation | 
 | 2192 | addx6842 add  sNaN -1000  ->  NaN  Invalid_operation | 
 | 2193 | addx6843 add  sNaN -1     ->  NaN  Invalid_operation | 
 | 2194 | addx6844 add  sNaN -0     ->  NaN  Invalid_operation | 
 | 2195 | addx6845 add  sNaN  0     ->  NaN  Invalid_operation | 
 | 2196 | addx6846 add  sNaN  1     ->  NaN  Invalid_operation | 
 | 2197 | addx6847 add  sNaN  1000  ->  NaN  Invalid_operation | 
 | 2198 | addx6848 add  sNaN  NaN   ->  NaN  Invalid_operation | 
 | 2199 | addx6849 add  sNaN sNaN   ->  NaN  Invalid_operation | 
 | 2200 | addx6850 add  NaN  sNaN   ->  NaN  Invalid_operation | 
 | 2201 | addx6851 add -Inf  sNaN   ->  NaN  Invalid_operation | 
 | 2202 | addx6852 add -1000 sNaN   ->  NaN  Invalid_operation | 
 | 2203 | addx6853 add -1    sNaN   ->  NaN  Invalid_operation | 
 | 2204 | addx6854 add -0    sNaN   ->  NaN  Invalid_operation | 
 | 2205 | addx6855 add  0    sNaN   ->  NaN  Invalid_operation | 
 | 2206 | addx6856 add  1    sNaN   ->  NaN  Invalid_operation | 
 | 2207 | addx6857 add  1000 sNaN   ->  NaN  Invalid_operation | 
 | 2208 | addx6858 add  Inf  sNaN   ->  NaN  Invalid_operation | 
 | 2209 | addx6859 add  NaN  sNaN   ->  NaN  Invalid_operation | 
 | 2210 |  | 
 | 2211 | -- propagating NaNs | 
 | 2212 | addx6861 add  NaN1   -Inf    ->  NaN1 | 
 | 2213 | addx6862 add +NaN2   -1000   ->  NaN2 | 
 | 2214 | addx6863 add  NaN3    1000   ->  NaN3 | 
 | 2215 | addx6864 add  NaN4    Inf    ->  NaN4 | 
 | 2216 | addx6865 add  NaN5   +NaN6   ->  NaN5 | 
 | 2217 | addx6866 add -Inf     NaN7   ->  NaN7 | 
 | 2218 | addx6867 add -1000    NaN8   ->  NaN8 | 
 | 2219 | addx6868 add  1000    NaN9   ->  NaN9 | 
 | 2220 | addx6869 add  Inf    +NaN10  ->  NaN10 | 
 | 2221 | addx6871 add  sNaN11  -Inf   ->  NaN11  Invalid_operation | 
 | 2222 | addx6872 add  sNaN12  -1000  ->  NaN12  Invalid_operation | 
 | 2223 | addx6873 add  sNaN13   1000  ->  NaN13  Invalid_operation | 
 | 2224 | addx6874 add  sNaN14   NaN17 ->  NaN14  Invalid_operation | 
 | 2225 | addx6875 add  sNaN15  sNaN18 ->  NaN15  Invalid_operation | 
 | 2226 | addx6876 add  NaN16   sNaN19 ->  NaN19  Invalid_operation | 
 | 2227 | addx6877 add -Inf    +sNaN20 ->  NaN20  Invalid_operation | 
 | 2228 | addx6878 add -1000    sNaN21 ->  NaN21  Invalid_operation | 
 | 2229 | addx6879 add  1000    sNaN22 ->  NaN22  Invalid_operation | 
 | 2230 | addx6880 add  Inf     sNaN23 ->  NaN23  Invalid_operation | 
 | 2231 | addx6881 add +NaN25  +sNaN24 ->  NaN24  Invalid_operation | 
 | 2232 | addx6882 add -NaN26    NaN28 -> -NaN26 | 
 | 2233 | addx6883 add -sNaN27  sNaN29 -> -NaN27  Invalid_operation | 
 | 2234 | addx6884 add  1000    -NaN30 -> -NaN30 | 
 | 2235 | addx6885 add  1000   -sNaN31 -> -NaN31  Invalid_operation | 
 | 2236 |  | 
 | 2237 | -- now the case where we can get underflow but the result is normal | 
 | 2238 | -- [note this can't happen if the operands are also bounded, as we | 
 | 2239 | -- cannot represent 1E-399, for example] | 
 | 2240 |  | 
 | 2241 | addx6571 add       1E-383       0  -> 1E-383 | 
 | 2242 | addx6572 add       1E-384       0  -> 1E-384   Subnormal | 
 | 2243 | addx6573 add       1E-383  1E-384  -> 1.1E-383 | 
 | 2244 | addx6574 subtract  1E-383  1E-384  ->   9E-384 Subnormal | 
 | 2245 |  | 
 | 2246 | -- Here we explore the boundary of rounding a subnormal to Nmin | 
 | 2247 | addx6575 subtract  1E-383  1E-398  ->   9.99999999999999E-384  Subnormal | 
 | 2248 | addx6576 subtract  1E-383  1E-398  ->   9.99999999999999E-384  Subnormal | 
 | 2249 | addx6577 subtract  1E-383  1E-399  ->   1.000000000000000E-383 Underflow Inexact Subnormal Rounded | 
 | 2250 | addx6578 subtract  1E-383  1E-400  ->   1.000000000000000E-383 Underflow Inexact Subnormal Rounded | 
 | 2251 | addx6579 subtract  1E-383  1E-401  ->   1.000000000000000E-383 Underflow Inexact Subnormal Rounded | 
 | 2252 | addx6580 subtract  1E-383  1E-402  ->   1.000000000000000E-383 Underflow Inexact Subnormal Rounded | 
 | 2253 |  | 
 | 2254 | -- check overflow edge case | 
 | 2255 | --               1234567890123456 | 
 | 2256 | addx6972 apply   9.999999999999999E+384         -> 9.999999999999999E+384 | 
 | 2257 | addx6973 add     9.999999999999999E+384  1      -> 9.999999999999999E+384 Inexact Rounded | 
 | 2258 | addx6974 add      9999999999999999E+369  1      -> 9.999999999999999E+384 Inexact Rounded | 
 | 2259 | addx6975 add      9999999999999999E+369  1E+369  -> Infinity Overflow Inexact Rounded | 
 | 2260 | addx6976 add      9999999999999999E+369  9E+368  -> Infinity Overflow Inexact Rounded | 
 | 2261 | addx6977 add      9999999999999999E+369  8E+368  -> Infinity Overflow Inexact Rounded | 
 | 2262 | addx6978 add      9999999999999999E+369  7E+368  -> Infinity Overflow Inexact Rounded | 
 | 2263 | addx6979 add      9999999999999999E+369  6E+368  -> Infinity Overflow Inexact Rounded | 
 | 2264 | addx6980 add      9999999999999999E+369  5E+368  -> Infinity Overflow Inexact Rounded | 
 | 2265 | addx6981 add      9999999999999999E+369  4E+368  -> 9.999999999999999E+384 Inexact Rounded | 
 | 2266 | addx6982 add      9999999999999999E+369  3E+368  -> 9.999999999999999E+384 Inexact Rounded | 
 | 2267 | addx6983 add      9999999999999999E+369  2E+368  -> 9.999999999999999E+384 Inexact Rounded | 
 | 2268 | addx6984 add      9999999999999999E+369  1E+368  -> 9.999999999999999E+384 Inexact Rounded | 
 | 2269 |  | 
 | 2270 | addx6985 apply  -9.999999999999999E+384         -> -9.999999999999999E+384 | 
 | 2271 | addx6986 add    -9.999999999999999E+384 -1      -> -9.999999999999999E+384 Inexact Rounded | 
 | 2272 | addx6987 add     -9999999999999999E+369 -1      -> -9.999999999999999E+384 Inexact Rounded | 
 | 2273 | addx6988 add     -9999999999999999E+369 -1E+369  -> -Infinity Overflow Inexact Rounded | 
 | 2274 | addx6989 add     -9999999999999999E+369 -9E+368  -> -Infinity Overflow Inexact Rounded | 
 | 2275 | addx6990 add     -9999999999999999E+369 -8E+368  -> -Infinity Overflow Inexact Rounded | 
 | 2276 | addx6991 add     -9999999999999999E+369 -7E+368  -> -Infinity Overflow Inexact Rounded | 
 | 2277 | addx6992 add     -9999999999999999E+369 -6E+368  -> -Infinity Overflow Inexact Rounded | 
 | 2278 | addx6993 add     -9999999999999999E+369 -5E+368  -> -Infinity Overflow Inexact Rounded | 
 | 2279 | addx6994 add     -9999999999999999E+369 -4E+368  -> -9.999999999999999E+384 Inexact Rounded | 
 | 2280 | addx6995 add     -9999999999999999E+369 -3E+368  -> -9.999999999999999E+384 Inexact Rounded | 
 | 2281 | addx6996 add     -9999999999999999E+369 -2E+368  -> -9.999999999999999E+384 Inexact Rounded | 
 | 2282 | addx6997 add     -9999999999999999E+369 -1E+368  -> -9.999999999999999E+384 Inexact Rounded | 
 | 2283 |  | 
 | 2284 | -- And for round down full and subnormal results | 
 | 2285 | rounding:     down | 
 | 2286 | addx61100 add 1e+2 -1e-383    -> 99.99999999999999 Rounded Inexact | 
 | 2287 | addx61101 add 1e+1 -1e-383    -> 9.999999999999999  Rounded Inexact | 
 | 2288 | addx61103 add   +1 -1e-383    -> 0.9999999999999999  Rounded Inexact | 
 | 2289 | addx61104 add 1e-1 -1e-383    -> 0.09999999999999999  Rounded Inexact | 
 | 2290 | addx61105 add 1e-2 -1e-383    -> 0.009999999999999999  Rounded Inexact | 
 | 2291 | addx61106 add 1e-3 -1e-383    -> 0.0009999999999999999  Rounded Inexact | 
 | 2292 | addx61107 add 1e-4 -1e-383    -> 0.00009999999999999999  Rounded Inexact | 
 | 2293 | addx61108 add 1e-5 -1e-383    -> 0.000009999999999999999  Rounded Inexact | 
 | 2294 | addx61109 add 1e-6 -1e-383    -> 9.999999999999999E-7  Rounded Inexact | 
 | 2295 |  | 
 | 2296 | rounding:     ceiling | 
 | 2297 | addx61110 add -1e+2 +1e-383   -> -99.99999999999999 Rounded Inexact | 
 | 2298 | addx61111 add -1e+1 +1e-383   -> -9.999999999999999  Rounded Inexact | 
 | 2299 | addx61113 add    -1 +1e-383   -> -0.9999999999999999  Rounded Inexact | 
 | 2300 | addx61114 add -1e-1 +1e-383   -> -0.09999999999999999  Rounded Inexact | 
 | 2301 | addx61115 add -1e-2 +1e-383   -> -0.009999999999999999  Rounded Inexact | 
 | 2302 | addx61116 add -1e-3 +1e-383   -> -0.0009999999999999999  Rounded Inexact | 
 | 2303 | addx61117 add -1e-4 +1e-383   -> -0.00009999999999999999  Rounded Inexact | 
 | 2304 | addx61118 add -1e-5 +1e-383   -> -0.000009999999999999999  Rounded Inexact | 
 | 2305 | addx61119 add -1e-6 +1e-383   -> -9.999999999999999E-7  Rounded Inexact | 
 | 2306 |  | 
 | 2307 | -- tests based on Gunnar Degnbol's edge case | 
 | 2308 | rounding:     half_even | 
 | 2309 |  | 
 | 2310 | addx61300 add 1E16  -0.5                 ->  1.000000000000000E+16 Inexact Rounded | 
 | 2311 | addx61310 add 1E16  -0.51                ->  9999999999999999      Inexact Rounded | 
 | 2312 | addx61311 add 1E16  -0.501               ->  9999999999999999      Inexact Rounded | 
 | 2313 | addx61312 add 1E16  -0.5001              ->  9999999999999999      Inexact Rounded | 
 | 2314 | addx61313 add 1E16  -0.50001             ->  9999999999999999      Inexact Rounded | 
 | 2315 | addx61314 add 1E16  -0.500001            ->  9999999999999999      Inexact Rounded | 
 | 2316 | addx61315 add 1E16  -0.5000001           ->  9999999999999999      Inexact Rounded | 
 | 2317 | addx61316 add 1E16  -0.50000001          ->  9999999999999999      Inexact Rounded | 
 | 2318 | addx61317 add 1E16  -0.500000001         ->  9999999999999999      Inexact Rounded | 
 | 2319 | addx61318 add 1E16  -0.5000000001        ->  9999999999999999      Inexact Rounded | 
 | 2320 | addx61319 add 1E16  -0.50000000001       ->  9999999999999999      Inexact Rounded | 
 | 2321 | addx61320 add 1E16  -0.500000000001      ->  9999999999999999      Inexact Rounded | 
 | 2322 | addx61321 add 1E16  -0.5000000000001     ->  9999999999999999      Inexact Rounded | 
 | 2323 | addx61322 add 1E16  -0.50000000000001    ->  9999999999999999      Inexact Rounded | 
 | 2324 | addx61323 add 1E16  -0.500000000000001   ->  9999999999999999      Inexact Rounded | 
 | 2325 | addx61324 add 1E16  -0.5000000000000001  ->  9999999999999999      Inexact Rounded | 
 | 2326 | addx61325 add 1E16  -0.5000000000000000  ->  1.000000000000000E+16 Inexact Rounded | 
 | 2327 | addx61326 add 1E16  -0.500000000000000   ->  1.000000000000000E+16 Inexact Rounded | 
 | 2328 | addx61327 add 1E16  -0.50000000000000    ->  1.000000000000000E+16 Inexact Rounded | 
 | 2329 | addx61328 add 1E16  -0.5000000000000     ->  1.000000000000000E+16 Inexact Rounded | 
 | 2330 | addx61329 add 1E16  -0.500000000000      ->  1.000000000000000E+16 Inexact Rounded | 
 | 2331 | addx61330 add 1E16  -0.50000000000       ->  1.000000000000000E+16 Inexact Rounded | 
 | 2332 | addx61331 add 1E16  -0.5000000000        ->  1.000000000000000E+16 Inexact Rounded | 
 | 2333 | addx61332 add 1E16  -0.500000000         ->  1.000000000000000E+16 Inexact Rounded | 
 | 2334 | addx61333 add 1E16  -0.50000000          ->  1.000000000000000E+16 Inexact Rounded | 
 | 2335 | addx61334 add 1E16  -0.5000000           ->  1.000000000000000E+16 Inexact Rounded | 
 | 2336 | addx61335 add 1E16  -0.500000            ->  1.000000000000000E+16 Inexact Rounded | 
 | 2337 | addx61336 add 1E16  -0.50000             ->  1.000000000000000E+16 Inexact Rounded | 
 | 2338 | addx61337 add 1E16  -0.5000              ->  1.000000000000000E+16 Inexact Rounded | 
 | 2339 | addx61338 add 1E16  -0.500               ->  1.000000000000000E+16 Inexact Rounded | 
 | 2340 | addx61339 add 1E16  -0.50                ->  1.000000000000000E+16 Inexact Rounded | 
 | 2341 |  | 
 | 2342 | addx61340 add 1E16  -5000000.000010001   ->  9999999995000000      Inexact Rounded | 
 | 2343 | addx61341 add 1E16  -5000000.000000001   ->  9999999995000000      Inexact Rounded | 
 | 2344 |  | 
 | 2345 | addx61349 add 9999999999999999 0.4                 ->  9999999999999999      Inexact Rounded | 
 | 2346 | addx61350 add 9999999999999999 0.49                ->  9999999999999999      Inexact Rounded | 
 | 2347 | addx61351 add 9999999999999999 0.499               ->  9999999999999999      Inexact Rounded | 
 | 2348 | addx61352 add 9999999999999999 0.4999              ->  9999999999999999      Inexact Rounded | 
 | 2349 | addx61353 add 9999999999999999 0.49999             ->  9999999999999999      Inexact Rounded | 
 | 2350 | addx61354 add 9999999999999999 0.499999            ->  9999999999999999      Inexact Rounded | 
 | 2351 | addx61355 add 9999999999999999 0.4999999           ->  9999999999999999      Inexact Rounded | 
 | 2352 | addx61356 add 9999999999999999 0.49999999          ->  9999999999999999      Inexact Rounded | 
 | 2353 | addx61357 add 9999999999999999 0.499999999         ->  9999999999999999      Inexact Rounded | 
 | 2354 | addx61358 add 9999999999999999 0.4999999999        ->  9999999999999999      Inexact Rounded | 
 | 2355 | addx61359 add 9999999999999999 0.49999999999       ->  9999999999999999      Inexact Rounded | 
 | 2356 | addx61360 add 9999999999999999 0.499999999999      ->  9999999999999999      Inexact Rounded | 
 | 2357 | addx61361 add 9999999999999999 0.4999999999999     ->  9999999999999999      Inexact Rounded | 
 | 2358 | addx61362 add 9999999999999999 0.49999999999999    ->  9999999999999999      Inexact Rounded | 
 | 2359 | addx61363 add 9999999999999999 0.499999999999999   ->  9999999999999999      Inexact Rounded | 
 | 2360 | addx61364 add 9999999999999999 0.4999999999999999  ->  9999999999999999      Inexact Rounded | 
 | 2361 | addx61365 add 9999999999999999 0.5000000000000000  ->  1.000000000000000E+16 Inexact Rounded | 
 | 2362 | addx61367 add 9999999999999999 0.500000000000000   ->  1.000000000000000E+16 Inexact Rounded | 
 | 2363 | addx61368 add 9999999999999999 0.50000000000000    ->  1.000000000000000E+16 Inexact Rounded | 
 | 2364 | addx61369 add 9999999999999999 0.5000000000000     ->  1.000000000000000E+16 Inexact Rounded | 
 | 2365 | addx61370 add 9999999999999999 0.500000000000      ->  1.000000000000000E+16 Inexact Rounded | 
 | 2366 | addx61371 add 9999999999999999 0.50000000000       ->  1.000000000000000E+16 Inexact Rounded | 
 | 2367 | addx61372 add 9999999999999999 0.5000000000        ->  1.000000000000000E+16 Inexact Rounded | 
 | 2368 | addx61373 add 9999999999999999 0.500000000         ->  1.000000000000000E+16 Inexact Rounded | 
 | 2369 | addx61374 add 9999999999999999 0.50000000          ->  1.000000000000000E+16 Inexact Rounded | 
 | 2370 | addx61375 add 9999999999999999 0.5000000           ->  1.000000000000000E+16 Inexact Rounded | 
 | 2371 | addx61376 add 9999999999999999 0.500000            ->  1.000000000000000E+16 Inexact Rounded | 
 | 2372 | addx61377 add 9999999999999999 0.50000             ->  1.000000000000000E+16 Inexact Rounded | 
 | 2373 | addx61378 add 9999999999999999 0.5000              ->  1.000000000000000E+16 Inexact Rounded | 
 | 2374 | addx61379 add 9999999999999999 0.500               ->  1.000000000000000E+16 Inexact Rounded | 
 | 2375 | addx61380 add 9999999999999999 0.50                ->  1.000000000000000E+16 Inexact Rounded | 
 | 2376 | addx61381 add 9999999999999999 0.5                 ->  1.000000000000000E+16 Inexact Rounded | 
 | 2377 | addx61382 add 9999999999999999 0.5000000000000001  ->  1.000000000000000E+16 Inexact Rounded | 
 | 2378 | addx61383 add 9999999999999999 0.500000000000001   ->  1.000000000000000E+16 Inexact Rounded | 
 | 2379 | addx61384 add 9999999999999999 0.50000000000001    ->  1.000000000000000E+16 Inexact Rounded | 
 | 2380 | addx61385 add 9999999999999999 0.5000000000001     ->  1.000000000000000E+16 Inexact Rounded | 
 | 2381 | addx61386 add 9999999999999999 0.500000000001      ->  1.000000000000000E+16 Inexact Rounded | 
 | 2382 | addx61387 add 9999999999999999 0.50000000001       ->  1.000000000000000E+16 Inexact Rounded | 
 | 2383 | addx61388 add 9999999999999999 0.5000000001        ->  1.000000000000000E+16 Inexact Rounded | 
 | 2384 | addx61389 add 9999999999999999 0.500000001         ->  1.000000000000000E+16 Inexact Rounded | 
 | 2385 | addx61390 add 9999999999999999 0.50000001          ->  1.000000000000000E+16 Inexact Rounded | 
 | 2386 | addx61391 add 9999999999999999 0.5000001           ->  1.000000000000000E+16 Inexact Rounded | 
 | 2387 | addx61392 add 9999999999999999 0.500001            ->  1.000000000000000E+16 Inexact Rounded | 
 | 2388 | addx61393 add 9999999999999999 0.50001             ->  1.000000000000000E+16 Inexact Rounded | 
 | 2389 | addx61394 add 9999999999999999 0.5001              ->  1.000000000000000E+16 Inexact Rounded | 
 | 2390 | addx61395 add 9999999999999999 0.501               ->  1.000000000000000E+16 Inexact Rounded | 
 | 2391 | addx61396 add 9999999999999999 0.51                ->  1.000000000000000E+16 Inexact Rounded | 
 | 2392 |  | 
 | 2393 | -- More GD edge cases, where difference between the unadjusted | 
 | 2394 | -- exponents is larger than the maximum precision and one side is 0 | 
 | 2395 | addx61420 add  0 1.123456789012345     -> 1.123456789012345 | 
 | 2396 | addx61421 add  0 1.123456789012345E-1  -> 0.1123456789012345 | 
 | 2397 | addx61422 add  0 1.123456789012345E-2  -> 0.01123456789012345 | 
 | 2398 | addx61423 add  0 1.123456789012345E-3  -> 0.001123456789012345 | 
 | 2399 | addx61424 add  0 1.123456789012345E-4  -> 0.0001123456789012345 | 
 | 2400 | addx61425 add  0 1.123456789012345E-5  -> 0.00001123456789012345 | 
 | 2401 | addx61426 add  0 1.123456789012345E-6  -> 0.000001123456789012345 | 
 | 2402 | addx61427 add  0 1.123456789012345E-7  -> 1.123456789012345E-7 | 
 | 2403 | addx61428 add  0 1.123456789012345E-8  -> 1.123456789012345E-8 | 
 | 2404 | addx61429 add  0 1.123456789012345E-9  -> 1.123456789012345E-9 | 
 | 2405 | addx61430 add  0 1.123456789012345E-10 -> 1.123456789012345E-10 | 
 | 2406 | addx61431 add  0 1.123456789012345E-11 -> 1.123456789012345E-11 | 
 | 2407 | addx61432 add  0 1.123456789012345E-12 -> 1.123456789012345E-12 | 
 | 2408 | addx61433 add  0 1.123456789012345E-13 -> 1.123456789012345E-13 | 
 | 2409 | addx61434 add  0 1.123456789012345E-14 -> 1.123456789012345E-14 | 
 | 2410 | addx61435 add  0 1.123456789012345E-15 -> 1.123456789012345E-15 | 
 | 2411 | addx61436 add  0 1.123456789012345E-16 -> 1.123456789012345E-16 | 
 | 2412 | addx61437 add  0 1.123456789012345E-17 -> 1.123456789012345E-17 | 
 | 2413 | addx61438 add  0 1.123456789012345E-18 -> 1.123456789012345E-18 | 
 | 2414 | addx61439 add  0 1.123456789012345E-19 -> 1.123456789012345E-19 | 
 | 2415 |  | 
 | 2416 | -- same, reversed 0 | 
 | 2417 | addx61440 add 1.123456789012345     0 -> 1.123456789012345 | 
 | 2418 | addx61441 add 1.123456789012345E-1  0 -> 0.1123456789012345 | 
 | 2419 | addx61442 add 1.123456789012345E-2  0 -> 0.01123456789012345 | 
 | 2420 | addx61443 add 1.123456789012345E-3  0 -> 0.001123456789012345 | 
 | 2421 | addx61444 add 1.123456789012345E-4  0 -> 0.0001123456789012345 | 
 | 2422 | addx61445 add 1.123456789012345E-5  0 -> 0.00001123456789012345 | 
 | 2423 | addx61446 add 1.123456789012345E-6  0 -> 0.000001123456789012345 | 
 | 2424 | addx61447 add 1.123456789012345E-7  0 -> 1.123456789012345E-7 | 
 | 2425 | addx61448 add 1.123456789012345E-8  0 -> 1.123456789012345E-8 | 
 | 2426 | addx61449 add 1.123456789012345E-9  0 -> 1.123456789012345E-9 | 
 | 2427 | addx61450 add 1.123456789012345E-10 0 -> 1.123456789012345E-10 | 
 | 2428 | addx61451 add 1.123456789012345E-11 0 -> 1.123456789012345E-11 | 
 | 2429 | addx61452 add 1.123456789012345E-12 0 -> 1.123456789012345E-12 | 
 | 2430 | addx61453 add 1.123456789012345E-13 0 -> 1.123456789012345E-13 | 
 | 2431 | addx61454 add 1.123456789012345E-14 0 -> 1.123456789012345E-14 | 
 | 2432 | addx61455 add 1.123456789012345E-15 0 -> 1.123456789012345E-15 | 
 | 2433 | addx61456 add 1.123456789012345E-16 0 -> 1.123456789012345E-16 | 
 | 2434 | addx61457 add 1.123456789012345E-17 0 -> 1.123456789012345E-17 | 
 | 2435 | addx61458 add 1.123456789012345E-18 0 -> 1.123456789012345E-18 | 
 | 2436 | addx61459 add 1.123456789012345E-19 0 -> 1.123456789012345E-19 | 
 | 2437 |  | 
 | 2438 | -- same, Es on the 0 | 
 | 2439 | addx61460 add 1.123456789012345  0E-0   -> 1.123456789012345 | 
 | 2440 | addx61461 add 1.123456789012345  0E-1   -> 1.123456789012345 | 
 | 2441 | addx61462 add 1.123456789012345  0E-2   -> 1.123456789012345 | 
 | 2442 | addx61463 add 1.123456789012345  0E-3   -> 1.123456789012345 | 
 | 2443 | addx61464 add 1.123456789012345  0E-4   -> 1.123456789012345 | 
 | 2444 | addx61465 add 1.123456789012345  0E-5   -> 1.123456789012345 | 
 | 2445 | addx61466 add 1.123456789012345  0E-6   -> 1.123456789012345 | 
 | 2446 | addx61467 add 1.123456789012345  0E-7   -> 1.123456789012345 | 
 | 2447 | addx61468 add 1.123456789012345  0E-8   -> 1.123456789012345 | 
 | 2448 | addx61469 add 1.123456789012345  0E-9   -> 1.123456789012345 | 
 | 2449 | addx61470 add 1.123456789012345  0E-10  -> 1.123456789012345 | 
 | 2450 | addx61471 add 1.123456789012345  0E-11  -> 1.123456789012345 | 
 | 2451 | addx61472 add 1.123456789012345  0E-12  -> 1.123456789012345 | 
 | 2452 | addx61473 add 1.123456789012345  0E-13  -> 1.123456789012345 | 
 | 2453 | addx61474 add 1.123456789012345  0E-14  -> 1.123456789012345 | 
 | 2454 | addx61475 add 1.123456789012345  0E-15  -> 1.123456789012345 | 
 | 2455 | -- next four flag Rounded because the 0 extends the result | 
 | 2456 | addx61476 add 1.123456789012345  0E-16  -> 1.123456789012345 Rounded | 
 | 2457 | addx61477 add 1.123456789012345  0E-17  -> 1.123456789012345 Rounded | 
 | 2458 | addx61478 add 1.123456789012345  0E-18  -> 1.123456789012345 Rounded | 
 | 2459 | addx61479 add 1.123456789012345  0E-19  -> 1.123456789012345 Rounded | 
 | 2460 |  | 
 | 2461 | -- sum of two opposite-sign operands is exactly 0 and floor => -0 | 
 | 2462 | rounding:    half_up | 
 | 2463 | -- exact zeros from zeros | 
 | 2464 | addx61500 add  0        0E-19  ->  0E-19 | 
 | 2465 | addx61501 add -0        0E-19  ->  0E-19 | 
 | 2466 | addx61502 add  0       -0E-19  ->  0E-19 | 
 | 2467 | addx61503 add -0       -0E-19  -> -0E-19 | 
 | 2468 | addx61504 add  0E-400   0E-19  ->  0E-398 Clamped | 
 | 2469 | addx61505 add -0E-400   0E-19  ->  0E-398 Clamped | 
 | 2470 | addx61506 add  0E-400  -0E-19  ->  0E-398 Clamped | 
 | 2471 | addx61507 add -0E-400  -0E-19  -> -0E-398 Clamped | 
 | 2472 | -- inexact zeros | 
 | 2473 | addx61511 add  1E-401   1E-400 ->  0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 2474 | addx61512 add -1E-401   1E-400 ->  0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 2475 | addx61513 add  1E-401  -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 2476 | addx61514 add -1E-401  -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 2477 | -- some exact zeros from non-zeros | 
 | 2478 | addx61515 add  1E-401   1E-401 ->  0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 2479 | addx61516 add -1E-401   1E-401 ->  0E-398 Clamped | 
 | 2480 | addx61517 add  1E-401  -1E-401 ->  0E-398 Clamped | 
 | 2481 | addx61518 add -1E-401  -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 2482 |  | 
 | 2483 | rounding:    half_down | 
 | 2484 | -- exact zeros from zeros | 
 | 2485 | addx61520 add  0        0E-19  ->  0E-19 | 
 | 2486 | addx61521 add -0        0E-19  ->  0E-19 | 
 | 2487 | addx61522 add  0       -0E-19  ->  0E-19 | 
 | 2488 | addx61523 add -0       -0E-19  -> -0E-19 | 
 | 2489 | addx61524 add  0E-400   0E-19  ->  0E-398 Clamped | 
 | 2490 | addx61525 add -0E-400   0E-19  ->  0E-398 Clamped | 
 | 2491 | addx61526 add  0E-400  -0E-19  ->  0E-398 Clamped | 
 | 2492 | addx61527 add -0E-400  -0E-19  -> -0E-398 Clamped | 
 | 2493 | -- inexact zeros | 
 | 2494 | addx61531 add  1E-401   1E-400 ->  0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 2495 | addx61532 add -1E-401   1E-400 ->  0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 2496 | addx61533 add  1E-401  -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 2497 | addx61534 add -1E-401  -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 2498 | -- some exact zeros from non-zeros | 
 | 2499 | addx61535 add  1E-401   1E-401 ->  0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 2500 | addx61536 add -1E-401   1E-401 ->  0E-398 Clamped | 
 | 2501 | addx61537 add  1E-401  -1E-401 ->  0E-398 Clamped | 
 | 2502 | addx61538 add -1E-401  -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 2503 |  | 
 | 2504 | rounding:    half_even | 
 | 2505 | -- exact zeros from zeros | 
 | 2506 | addx61540 add  0        0E-19  ->  0E-19 | 
 | 2507 | addx61541 add -0        0E-19  ->  0E-19 | 
 | 2508 | addx61542 add  0       -0E-19  ->  0E-19 | 
 | 2509 | addx61543 add -0       -0E-19  -> -0E-19 | 
 | 2510 | addx61544 add  0E-400   0E-19  ->  0E-398 Clamped | 
 | 2511 | addx61545 add -0E-400   0E-19  ->  0E-398 Clamped | 
 | 2512 | addx61546 add  0E-400  -0E-19  ->  0E-398 Clamped | 
 | 2513 | addx61547 add -0E-400  -0E-19  -> -0E-398 Clamped | 
 | 2514 | -- inexact zeros | 
 | 2515 | addx61551 add  1E-401   1E-400 ->  0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 2516 | addx61552 add -1E-401   1E-400 ->  0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 2517 | addx61553 add  1E-401  -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 2518 | addx61554 add -1E-401  -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 2519 | -- some exact zeros from non-zeros | 
 | 2520 | addx61555 add  1E-401   1E-401 ->  0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 2521 | addx61556 add -1E-401   1E-401 ->  0E-398 Clamped | 
 | 2522 | addx61557 add  1E-401  -1E-401 ->  0E-398 Clamped | 
 | 2523 | addx61558 add -1E-401  -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 2524 |  | 
 | 2525 | rounding:    up | 
 | 2526 | -- exact zeros from zeros | 
 | 2527 | addx61560 add  0        0E-19  ->  0E-19 | 
 | 2528 | addx61561 add -0        0E-19  ->  0E-19 | 
 | 2529 | addx61562 add  0       -0E-19  ->  0E-19 | 
 | 2530 | addx61563 add -0       -0E-19  -> -0E-19 | 
 | 2531 | addx61564 add  0E-400   0E-19  ->  0E-398 Clamped | 
 | 2532 | addx61565 add -0E-400   0E-19  ->  0E-398 Clamped | 
 | 2533 | addx61566 add  0E-400  -0E-19  ->  0E-398 Clamped | 
 | 2534 | addx61567 add -0E-400  -0E-19  -> -0E-398 Clamped | 
 | 2535 | -- inexact zeros | 
 | 2536 | addx61571 add  1E-401   1E-400 ->  1E-398 Subnormal Inexact Rounded Underflow | 
 | 2537 | addx61572 add -1E-401   1E-400 ->  1E-398 Subnormal Inexact Rounded Underflow | 
 | 2538 | addx61573 add  1E-401  -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow | 
 | 2539 | addx61574 add -1E-401  -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow | 
 | 2540 | -- some exact zeros from non-zeros | 
 | 2541 | addx61575 add  1E-401   1E-401 ->  1E-398 Subnormal Inexact Rounded Underflow | 
 | 2542 | addx61576 add -1E-401   1E-401 ->  0E-398 Clamped | 
 | 2543 | addx61577 add  1E-401  -1E-401 ->  0E-398 Clamped | 
 | 2544 | addx61578 add -1E-401  -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow | 
 | 2545 |  | 
 | 2546 | rounding:    down | 
 | 2547 | -- exact zeros from zeros | 
 | 2548 | addx61580 add  0        0E-19  ->  0E-19 | 
 | 2549 | addx61581 add -0        0E-19  ->  0E-19 | 
 | 2550 | addx61582 add  0       -0E-19  ->  0E-19 | 
 | 2551 | addx61583 add -0       -0E-19  -> -0E-19 | 
 | 2552 | addx61584 add  0E-400   0E-19  ->  0E-398 Clamped | 
 | 2553 | addx61585 add -0E-400   0E-19  ->  0E-398 Clamped | 
 | 2554 | addx61586 add  0E-400  -0E-19  ->  0E-398 Clamped | 
 | 2555 | addx61587 add -0E-400  -0E-19  -> -0E-398 Clamped | 
 | 2556 | -- inexact zeros | 
 | 2557 | addx61591 add  1E-401   1E-400 ->  0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 2558 | addx61592 add -1E-401   1E-400 ->  0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 2559 | addx61593 add  1E-401  -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 2560 | addx61594 add -1E-401  -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 2561 | -- some exact zeros from non-zeros | 
 | 2562 | addx61595 add  1E-401   1E-401 ->  0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 2563 | addx61596 add -1E-401   1E-401 ->  0E-398 Clamped | 
 | 2564 | addx61597 add  1E-401  -1E-401 ->  0E-398 Clamped | 
 | 2565 | addx61598 add -1E-401  -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 2566 |  | 
 | 2567 | rounding:    ceiling | 
 | 2568 | -- exact zeros from zeros | 
 | 2569 | addx61600 add  0        0E-19  ->  0E-19 | 
 | 2570 | addx61601 add -0        0E-19  ->  0E-19 | 
 | 2571 | addx61602 add  0       -0E-19  ->  0E-19 | 
 | 2572 | addx61603 add -0       -0E-19  -> -0E-19 | 
 | 2573 | addx61604 add  0E-400   0E-19  ->  0E-398 Clamped | 
 | 2574 | addx61605 add -0E-400   0E-19  ->  0E-398 Clamped | 
 | 2575 | addx61606 add  0E-400  -0E-19  ->  0E-398 Clamped | 
 | 2576 | addx61607 add -0E-400  -0E-19  -> -0E-398 Clamped | 
 | 2577 | -- inexact zeros | 
 | 2578 | addx61611 add  1E-401   1E-400 ->  1E-398 Subnormal Inexact Rounded Underflow | 
 | 2579 | addx61612 add -1E-401   1E-400 ->  1E-398 Subnormal Inexact Rounded Underflow | 
 | 2580 | addx61613 add  1E-401  -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 2581 | addx61614 add -1E-401  -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 2582 | -- some exact zeros from non-zeros | 
 | 2583 | addx61615 add  1E-401   1E-401 ->  1E-398 Subnormal Inexact Rounded Underflow | 
 | 2584 | addx61616 add -1E-401   1E-401 ->  0E-398 Clamped | 
 | 2585 | addx61617 add  1E-401  -1E-401 ->  0E-398 Clamped | 
 | 2586 | addx61618 add -1E-401  -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 2587 |  | 
 | 2588 | -- and the extra-special ugly case; unusual minuses marked by -- * | 
 | 2589 | rounding:    floor | 
 | 2590 | -- exact zeros from zeros | 
 | 2591 | addx61620 add  0        0E-19  ->  0E-19 | 
 | 2592 | addx61621 add -0        0E-19  -> -0E-19           -- * | 
 | 2593 | addx61622 add  0       -0E-19  -> -0E-19           -- * | 
 | 2594 | addx61623 add -0       -0E-19  -> -0E-19 | 
 | 2595 | addx61624 add  0E-400   0E-19  ->  0E-398 Clamped | 
 | 2596 | addx61625 add -0E-400   0E-19  -> -0E-398 Clamped  -- * | 
 | 2597 | addx61626 add  0E-400  -0E-19  -> -0E-398 Clamped  -- * | 
 | 2598 | addx61627 add -0E-400  -0E-19  -> -0E-398 Clamped | 
 | 2599 | -- inexact zeros | 
 | 2600 | addx61631 add  1E-401   1E-400 ->  0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 2601 | addx61632 add -1E-401   1E-400 ->  0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 2602 | addx61633 add  1E-401  -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow | 
 | 2603 | addx61634 add -1E-401  -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow | 
 | 2604 | -- some exact zeros from non-zeros | 
 | 2605 | addx61635 add  1E-401   1E-401 ->  0E-398 Subnormal Inexact Rounded Underflow Clamped | 
 | 2606 | addx61636 add -1E-401   1E-401 -> -0E-398 Clamped  -- * | 
 | 2607 | addx61637 add  1E-401  -1E-401 -> -0E-398 Clamped  -- * | 
 | 2608 | addx61638 add -1E-401  -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow | 
 | 2609 |  | 
 | 2610 | -- Examples from SQL proposal (Krishna Kulkarni) | 
 | 2611 | addx61701 add 130E-2    120E-2    -> 2.50 | 
 | 2612 | addx61702 add 130E-2    12E-1     -> 2.50 | 
 | 2613 | addx61703 add 130E-2    1E0       -> 2.30 | 
 | 2614 | addx61704 add 1E2       1E4       -> 1.01E+4 | 
 | 2615 | addx61705 subtract 130E-2  120E-2 -> 0.10 | 
 | 2616 | addx61706 subtract 130E-2  12E-1  -> 0.10 | 
 | 2617 | addx61707 subtract 130E-2  1E0    -> 0.30 | 
 | 2618 | addx61708 subtract 1E2     1E4    -> -9.9E+3 | 
 | 2619 |  | 
 | 2620 | -- Gappy coefficients; check residue handling even with full coefficient gap | 
 | 2621 | rounding: half_even | 
 | 2622 |  | 
 | 2623 | addx62001 add 1234567890123456 1      -> 1234567890123457 | 
 | 2624 | addx62002 add 1234567890123456 0.6    -> 1234567890123457  Inexact Rounded | 
 | 2625 | addx62003 add 1234567890123456 0.06   -> 1234567890123456  Inexact Rounded | 
 | 2626 | addx62004 add 1234567890123456 6E-3   -> 1234567890123456  Inexact Rounded | 
 | 2627 | addx62005 add 1234567890123456 6E-4   -> 1234567890123456  Inexact Rounded | 
 | 2628 | addx62006 add 1234567890123456 6E-5   -> 1234567890123456  Inexact Rounded | 
 | 2629 | addx62007 add 1234567890123456 6E-6   -> 1234567890123456  Inexact Rounded | 
 | 2630 | addx62008 add 1234567890123456 6E-7   -> 1234567890123456  Inexact Rounded | 
 | 2631 | addx62009 add 1234567890123456 6E-8   -> 1234567890123456  Inexact Rounded | 
 | 2632 | addx62010 add 1234567890123456 6E-9   -> 1234567890123456  Inexact Rounded | 
 | 2633 | addx62011 add 1234567890123456 6E-10  -> 1234567890123456  Inexact Rounded | 
 | 2634 | addx62012 add 1234567890123456 6E-11  -> 1234567890123456  Inexact Rounded | 
 | 2635 | addx62013 add 1234567890123456 6E-12  -> 1234567890123456  Inexact Rounded | 
 | 2636 | addx62014 add 1234567890123456 6E-13  -> 1234567890123456  Inexact Rounded | 
 | 2637 | addx62015 add 1234567890123456 6E-14  -> 1234567890123456  Inexact Rounded | 
 | 2638 | addx62016 add 1234567890123456 6E-15  -> 1234567890123456  Inexact Rounded | 
 | 2639 | addx62017 add 1234567890123456 6E-16  -> 1234567890123456  Inexact Rounded | 
 | 2640 | addx62018 add 1234567890123456 6E-17  -> 1234567890123456  Inexact Rounded | 
 | 2641 | addx62019 add 1234567890123456 6E-18  -> 1234567890123456  Inexact Rounded | 
 | 2642 | addx62020 add 1234567890123456 6E-19  -> 1234567890123456  Inexact Rounded | 
 | 2643 | addx62021 add 1234567890123456 6E-20  -> 1234567890123456  Inexact Rounded | 
 | 2644 |  | 
 | 2645 | -- widening second argument at gap | 
 | 2646 | addx62030 add 12345678 1                       -> 12345679 | 
 | 2647 | addx62031 add 12345678 0.1                     -> 12345678.1 | 
 | 2648 | addx62032 add 12345678 0.12                    -> 12345678.12 | 
 | 2649 | addx62033 add 12345678 0.123                   -> 12345678.123 | 
 | 2650 | addx62034 add 12345678 0.1234                  -> 12345678.1234 | 
 | 2651 | addx62035 add 12345678 0.12345                 -> 12345678.12345 | 
 | 2652 | addx62036 add 12345678 0.123456                -> 12345678.123456 | 
 | 2653 | addx62037 add 12345678 0.1234567               -> 12345678.1234567 | 
 | 2654 | addx62038 add 12345678 0.12345678              -> 12345678.12345678 | 
 | 2655 | addx62039 add 12345678 0.123456789             -> 12345678.12345679 Inexact Rounded | 
 | 2656 | addx62040 add 12345678 0.123456785             -> 12345678.12345678 Inexact Rounded | 
 | 2657 | addx62041 add 12345678 0.1234567850            -> 12345678.12345678 Inexact Rounded | 
 | 2658 | addx62042 add 12345678 0.1234567851            -> 12345678.12345679 Inexact Rounded | 
 | 2659 | addx62043 add 12345678 0.12345678501           -> 12345678.12345679 Inexact Rounded | 
 | 2660 | addx62044 add 12345678 0.123456785001          -> 12345678.12345679 Inexact Rounded | 
 | 2661 | addx62045 add 12345678 0.1234567850001         -> 12345678.12345679 Inexact Rounded | 
 | 2662 | addx62046 add 12345678 0.12345678500001        -> 12345678.12345679 Inexact Rounded | 
 | 2663 | addx62047 add 12345678 0.123456785000001       -> 12345678.12345679 Inexact Rounded | 
 | 2664 | addx62048 add 12345678 0.1234567850000001      -> 12345678.12345679 Inexact Rounded | 
 | 2665 | addx62049 add 12345678 0.1234567850000000      -> 12345678.12345678 Inexact Rounded | 
 | 2666 | --                               90123456 | 
 | 2667 | rounding: half_even | 
 | 2668 | addx62050 add 12345678 0.0234567750000000      -> 12345678.02345678 Inexact Rounded | 
 | 2669 | addx62051 add 12345678 0.0034567750000000      -> 12345678.00345678 Inexact Rounded | 
 | 2670 | addx62052 add 12345678 0.0004567750000000      -> 12345678.00045678 Inexact Rounded | 
 | 2671 | addx62053 add 12345678 0.0000567750000000      -> 12345678.00005678 Inexact Rounded | 
 | 2672 | addx62054 add 12345678 0.0000067750000000      -> 12345678.00000678 Inexact Rounded | 
 | 2673 | addx62055 add 12345678 0.0000007750000000      -> 12345678.00000078 Inexact Rounded | 
 | 2674 | addx62056 add 12345678 0.0000000750000000      -> 12345678.00000008 Inexact Rounded | 
 | 2675 | addx62057 add 12345678 0.0000000050000000      -> 12345678.00000000 Inexact Rounded | 
 | 2676 | addx62060 add 12345678 0.0234567750000001      -> 12345678.02345678 Inexact Rounded | 
 | 2677 | addx62061 add 12345678 0.0034567750000001      -> 12345678.00345678 Inexact Rounded | 
 | 2678 | addx62062 add 12345678 0.0004567750000001      -> 12345678.00045678 Inexact Rounded | 
 | 2679 | addx62063 add 12345678 0.0000567750000001      -> 12345678.00005678 Inexact Rounded | 
 | 2680 | addx62064 add 12345678 0.0000067750000001      -> 12345678.00000678 Inexact Rounded | 
 | 2681 | addx62065 add 12345678 0.0000007750000001      -> 12345678.00000078 Inexact Rounded | 
 | 2682 | addx62066 add 12345678 0.0000000750000001      -> 12345678.00000008 Inexact Rounded | 
 | 2683 | addx62067 add 12345678 0.0000000050000001      -> 12345678.00000001 Inexact Rounded | 
 | 2684 | -- far-out residues (full coefficient gap is 16+15 digits) | 
 | 2685 | rounding: up | 
 | 2686 | addx62070 add 12345678 1E-8                    -> 12345678.00000001 | 
 | 2687 | addx62071 add 12345678 1E-9                    -> 12345678.00000001 Inexact Rounded | 
 | 2688 | addx62072 add 12345678 1E-10                   -> 12345678.00000001 Inexact Rounded | 
 | 2689 | addx62073 add 12345678 1E-11                   -> 12345678.00000001 Inexact Rounded | 
 | 2690 | addx62074 add 12345678 1E-12                   -> 12345678.00000001 Inexact Rounded | 
 | 2691 | addx62075 add 12345678 1E-13                   -> 12345678.00000001 Inexact Rounded | 
 | 2692 | addx62076 add 12345678 1E-14                   -> 12345678.00000001 Inexact Rounded | 
 | 2693 | addx62077 add 12345678 1E-15                   -> 12345678.00000001 Inexact Rounded | 
 | 2694 | addx62078 add 12345678 1E-16                   -> 12345678.00000001 Inexact Rounded | 
 | 2695 | addx62079 add 12345678 1E-17                   -> 12345678.00000001 Inexact Rounded | 
 | 2696 | addx62080 add 12345678 1E-18                   -> 12345678.00000001 Inexact Rounded | 
 | 2697 | addx62081 add 12345678 1E-19                   -> 12345678.00000001 Inexact Rounded | 
 | 2698 | addx62082 add 12345678 1E-20                   -> 12345678.00000001 Inexact Rounded | 
 | 2699 | addx62083 add 12345678 1E-25                   -> 12345678.00000001 Inexact Rounded | 
 | 2700 | addx62084 add 12345678 1E-30                   -> 12345678.00000001 Inexact Rounded | 
 | 2701 | addx62085 add 12345678 1E-31                   -> 12345678.00000001 Inexact Rounded | 
 | 2702 | addx62086 add 12345678 1E-32                   -> 12345678.00000001 Inexact Rounded | 
 | 2703 | addx62087 add 12345678 1E-33                   -> 12345678.00000001 Inexact Rounded | 
 | 2704 | addx62088 add 12345678 1E-34                   -> 12345678.00000001 Inexact Rounded | 
 | 2705 | addx62089 add 12345678 1E-35                   -> 12345678.00000001 Inexact Rounded | 
 | 2706 |  | 
 | 2707 | -- payload decapitate | 
 | 2708 | precision: 5 | 
 | 2709 | addx62100 add      11  sNaN123456789 ->  NaN56789  Invalid_operation | 
 | 2710 | addx62101 add     -11 -sNaN123456789 -> -NaN56789  Invalid_operation | 
 | 2711 | addx62102 add      11   NaN123456789 ->  NaN56789 | 
 | 2712 | addx62103 add     -11  -NaN123456789 -> -NaN56789 | 
| Raymond Hettinger | 7c85fa4 | 2004-07-01 11:01:35 +0000 | [diff] [blame] | 2713 |  | 
 | 2714 | -- Null tests | 
 | 2715 | addx9990 add 10  # -> NaN Invalid_operation | 
 | 2716 | addx9991 add  # 10 -> NaN Invalid_operation |