AppPkg/Applications/Python/Python-2.7.2/Lib/test/decimaltestdata/ddSubtract.decTest

   1 ------------------------------------------------------------------------
   2 -- ddSubtract.decTest -- decDouble subtraction                        --
   3 -- Copyright (c) IBM Corporation, 1981, 2008.  All rights reserved.   --
   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 ------------------------------------------------------------------------
  20 version: 2.59
  21
  22 -- This set of tests are for decDoubles only; all arguments are
  23 -- representable in a decDouble
  24 precision:   16
  25 maxExponent: 384
  26 minExponent: -383
  27 extended:    1
  28 clamp:       1
  29 rounding:    half_even
  30
  31 -- [first group are 'quick confidence check']
  32 ddsub001 subtract  0   0  -> '0'
  33 ddsub002 subtract  1   1  -> '0'
  34 ddsub003 subtract  1   2  -> '-1'
  35 ddsub004 subtract  2   1  -> '1'
  36 ddsub005 subtract  2   2  -> '0'
  37 ddsub006 subtract  3   2  -> '1'
  38 ddsub007 subtract  2   3  -> '-1'
  39
  40 ddsub011 subtract -0   0  -> '-0'
  41 ddsub012 subtract -1   1  -> '-2'
  42 ddsub013 subtract -1   2  -> '-3'
  43 ddsub014 subtract -2   1  -> '-3'
  44 ddsub015 subtract -2   2  -> '-4'
  45 ddsub016 subtract -3   2  -> '-5'
  46 ddsub017 subtract -2   3  -> '-5'
  47
  48 ddsub021 subtract  0  -0  -> '0'
  49 ddsub022 subtract  1  -1  -> '2'
  50 ddsub023 subtract  1  -2  -> '3'
  51 ddsub024 subtract  2  -1  -> '3'
  52 ddsub025 subtract  2  -2  -> '4'
  53 ddsub026 subtract  3  -2  -> '5'
  54 ddsub027 subtract  2  -3  -> '5'
  55
  56 ddsub030 subtract  11  1  -> 10
  57 ddsub031 subtract  10  1  ->  9
  58 ddsub032 subtract  9   1  ->  8
  59 ddsub033 subtract  1   1  ->  0
  60 ddsub034 subtract  0   1  -> -1
  61 ddsub035 subtract -1   1  -> -2
  62 ddsub036 subtract -9   1  -> -10
  63 ddsub037 subtract -10  1  -> -11
  64 ddsub038 subtract -11  1  -> -12
  65
  66 ddsub040 subtract '5.75' '3.3'  -> '2.45'
  67 ddsub041 subtract '5'    '-3'   -> '8'
  68 ddsub042 subtract '-5'   '-3'   -> '-2'
  69 ddsub043 subtract '-7'   '2.5'  -> '-9.5'
  70 ddsub044 subtract '0.7'  '0.3'  -> '0.4'
  71 ddsub045 subtract '1.3'  '0.3'  -> '1.0'
  72 ddsub046 subtract '1.25' '1.25' -> '0.00'
  73
  74 ddsub050 subtract '1.23456789'    '1.00000000' -> '0.23456789'
  75 ddsub051 subtract '1.23456789'    '1.00000089' -> '0.23456700'
  76
  77 ddsub060 subtract '70'    '10000e+16' -> '-1.000000000000000E+20' Inexact Rounded
  78 ddsub061 subtract '700'    '10000e+16' -> '-1.000000000000000E+20' Inexact Rounded
  79 ddsub062 subtract '7000'    '10000e+16' -> '-9.999999999999999E+19' Inexact Rounded
  80 ddsub063 subtract '70000'    '10000e+16' -> '-9.999999999999993E+19' Rounded
  81 ddsub064 subtract '700000'    '10000e+16' -> '-9.999999999999930E+19' Rounded
  82   -- symmetry:
  83 ddsub065 subtract '10000e+16'    '70' -> '1.000000000000000E+20' Inexact Rounded
  84 ddsub066 subtract '10000e+16'    '700' -> '1.000000000000000E+20' Inexact Rounded
  85 ddsub067 subtract '10000e+16'    '7000' -> '9.999999999999999E+19' Inexact Rounded
  86 ddsub068 subtract '10000e+16'    '70000' -> '9.999999999999993E+19' Rounded
  87 ddsub069 subtract '10000e+16'    '700000' -> '9.999999999999930E+19' Rounded
  88
  89   -- some of the next group are really constructor tests
  90 ddsub090 subtract '00.0'    '0.0'  -> '0.0'
  91 ddsub091 subtract '00.0'    '0.00' -> '0.00'
  92 ddsub092 subtract '0.00'    '00.0' -> '0.00'
  93 ddsub093 subtract '00.0'    '0.00' -> '0.00'
  94 ddsub094 subtract '0.00'    '00.0' -> '0.00'
  95 ddsub095 subtract '3'    '.3'   -> '2.7'
  96 ddsub096 subtract '3.'   '.3'   -> '2.7'
  97 ddsub097 subtract '3.0'  '.3'   -> '2.7'
  98 ddsub098 subtract '3.00' '.3'   -> '2.70'
  99 ddsub099 subtract '3'    '3'    -> '0'
 100 ddsub100 subtract '3'    '+3'   -> '0'
 101 ddsub101 subtract '3'    '-3'   -> '6'
 102 ddsub102 subtract '3'    '0.3'  -> '2.7'
 103 ddsub103 subtract '3.'   '0.3'  -> '2.7'
 104 ddsub104 subtract '3.0'  '0.3'  -> '2.7'
 105 ddsub105 subtract '3.00' '0.3'  -> '2.70'
 106 ddsub106 subtract '3'    '3.0'  -> '0.0'
 107 ddsub107 subtract '3'    '+3.0' -> '0.0'
 108 ddsub108 subtract '3'    '-3.0' -> '6.0'
 109
 110 -- the above all from add; massaged and extended.  Now some new ones...
 111 -- [particularly important for comparisons]
 112 -- NB: -xE-8 below were non-exponents pre-ANSI X3-274, and -1E-7 or 0E-7
 113 -- with input rounding.
 114 ddsub120 subtract  '10.23456784'    '10.23456789'  -> '-5E-8'
 115 ddsub121 subtract  '10.23456785'    '10.23456789'  -> '-4E-8'
 116 ddsub122 subtract  '10.23456786'    '10.23456789'  -> '-3E-8'
 117 ddsub123 subtract  '10.23456787'    '10.23456789'  -> '-2E-8'
 118 ddsub124 subtract  '10.23456788'    '10.23456789'  -> '-1E-8'
 119 ddsub125 subtract  '10.23456789'    '10.23456789'  -> '0E-8'
 120 ddsub126 subtract  '10.23456790'    '10.23456789'  -> '1E-8'
 121 ddsub127 subtract  '10.23456791'    '10.23456789'  -> '2E-8'
 122 ddsub128 subtract  '10.23456792'    '10.23456789'  -> '3E-8'
 123 ddsub129 subtract  '10.23456793'    '10.23456789'  -> '4E-8'
 124 ddsub130 subtract  '10.23456794'    '10.23456789'  -> '5E-8'
 125 ddsub131 subtract  '10.23456781'    '10.23456786'  -> '-5E-8'
 126 ddsub132 subtract  '10.23456782'    '10.23456786'  -> '-4E-8'
 127 ddsub133 subtract  '10.23456783'    '10.23456786'  -> '-3E-8'
 128 ddsub134 subtract  '10.23456784'    '10.23456786'  -> '-2E-8'
 129 ddsub135 subtract  '10.23456785'    '10.23456786'  -> '-1E-8'
 130 ddsub136 subtract  '10.23456786'    '10.23456786'  -> '0E-8'
 131 ddsub137 subtract  '10.23456787'    '10.23456786'  -> '1E-8'
 132 ddsub138 subtract  '10.23456788'    '10.23456786'  -> '2E-8'
 133 ddsub139 subtract  '10.23456789'    '10.23456786'  -> '3E-8'
 134 ddsub140 subtract  '10.23456790'    '10.23456786'  -> '4E-8'
 135 ddsub141 subtract  '10.23456791'    '10.23456786'  -> '5E-8'
 136 ddsub142 subtract  '1'              '0.999999999'  -> '1E-9'
 137 ddsub143 subtract  '0.999999999'    '1'            -> '-1E-9'
 138 ddsub144 subtract  '-10.23456780'   '-10.23456786' -> '6E-8'
 139 ddsub145 subtract  '-10.23456790'   '-10.23456786' -> '-4E-8'
 140 ddsub146 subtract  '-10.23456791'   '-10.23456786' -> '-5E-8'
 141
 142 -- additional scaled arithmetic tests [0.97 problem]
 143 ddsub160 subtract '0'     '.1'      -> '-0.1'
 144 ddsub161 subtract '00'    '.97983'  -> '-0.97983'
 145 ddsub162 subtract '0'     '.9'      -> '-0.9'
 146 ddsub163 subtract '0'     '0.102'   -> '-0.102'
 147 ddsub164 subtract '0'     '.4'      -> '-0.4'
 148 ddsub165 subtract '0'     '.307'    -> '-0.307'
 149 ddsub166 subtract '0'     '.43822'  -> '-0.43822'
 150 ddsub167 subtract '0'     '.911'    -> '-0.911'
 151 ddsub168 subtract '.0'    '.02'     -> '-0.02'
 152 ddsub169 subtract '00'    '.392'    -> '-0.392'
 153 ddsub170 subtract '0'     '.26'     -> '-0.26'
 154 ddsub171 subtract '0'     '0.51'    -> '-0.51'
 155 ddsub172 subtract '0'     '.2234'   -> '-0.2234'
 156 ddsub173 subtract '0'     '.2'      -> '-0.2'
 157 ddsub174 subtract '.0'    '.0008'   -> '-0.0008'
 158 -- 0. on left
 159 ddsub180 subtract '0.0'     '-.1'      -> '0.1'
 160 ddsub181 subtract '0.00'    '-.97983'  -> '0.97983'
 161 ddsub182 subtract '0.0'     '-.9'      -> '0.9'
 162 ddsub183 subtract '0.0'     '-0.102'   -> '0.102'
 163 ddsub184 subtract '0.0'     '-.4'      -> '0.4'
 164 ddsub185 subtract '0.0'     '-.307'    -> '0.307'
 165 ddsub186 subtract '0.0'     '-.43822'  -> '0.43822'
 166 ddsub187 subtract '0.0'     '-.911'    -> '0.911'
 167 ddsub188 subtract '0.0'     '-.02'     -> '0.02'
 168 ddsub189 subtract '0.00'    '-.392'    -> '0.392'
 169 ddsub190 subtract '0.0'     '-.26'     -> '0.26'
 170 ddsub191 subtract '0.0'     '-0.51'    -> '0.51'
 171 ddsub192 subtract '0.0'     '-.2234'   -> '0.2234'
 172 ddsub193 subtract '0.0'     '-.2'      -> '0.2'
 173 ddsub194 subtract '0.0'     '-.0008'   -> '0.0008'
 174 -- negatives of same
 175 ddsub200 subtract '0'     '-.1'      -> '0.1'
 176 ddsub201 subtract '00'    '-.97983'  -> '0.97983'
 177 ddsub202 subtract '0'     '-.9'      -> '0.9'
 178 ddsub203 subtract '0'     '-0.102'   -> '0.102'
 179 ddsub204 subtract '0'     '-.4'      -> '0.4'
 180 ddsub205 subtract '0'     '-.307'    -> '0.307'
 181 ddsub206 subtract '0'     '-.43822'  -> '0.43822'
 182 ddsub207 subtract '0'     '-.911'    -> '0.911'
 183 ddsub208 subtract '.0'    '-.02'     -> '0.02'
 184 ddsub209 subtract '00'    '-.392'    -> '0.392'
 185 ddsub210 subtract '0'     '-.26'     -> '0.26'
 186 ddsub211 subtract '0'     '-0.51'    -> '0.51'
 187 ddsub212 subtract '0'     '-.2234'   -> '0.2234'
 188 ddsub213 subtract '0'     '-.2'      -> '0.2'
 189 ddsub214 subtract '.0'    '-.0008'   -> '0.0008'
 190
 191 -- more fixed, LHS swaps [really the same as testcases under add]
 192 ddsub220 subtract '-56267E-12' 0  -> '-5.6267E-8'
 193 ddsub221 subtract '-56267E-11' 0  -> '-5.6267E-7'
 194 ddsub222 subtract '-56267E-10' 0  -> '-0.0000056267'
 195 ddsub223 subtract '-56267E-9'  0  -> '-0.000056267'
 196 ddsub224 subtract '-56267E-8'  0  -> '-0.00056267'
 197 ddsub225 subtract '-56267E-7'  0  -> '-0.0056267'
 198 ddsub226 subtract '-56267E-6'  0  -> '-0.056267'
 199 ddsub227 subtract '-56267E-5'  0  -> '-0.56267'
 200 ddsub228 subtract '-56267E-2'  0  -> '-562.67'
 201 ddsub229 subtract '-56267E-1'  0  -> '-5626.7'
 202 ddsub230 subtract '-56267E-0'  0  -> '-56267'
 203 -- symmetry ...
 204 ddsub240 subtract 0 '-56267E-12'  -> '5.6267E-8'
 205 ddsub241 subtract 0 '-56267E-11'  -> '5.6267E-7'
 206 ddsub242 subtract 0 '-56267E-10'  -> '0.0000056267'
 207 ddsub243 subtract 0 '-56267E-9'   -> '0.000056267'
 208 ddsub244 subtract 0 '-56267E-8'   -> '0.00056267'
 209 ddsub245 subtract 0 '-56267E-7'   -> '0.0056267'
 210 ddsub246 subtract 0 '-56267E-6'   -> '0.056267'
 211 ddsub247 subtract 0 '-56267E-5'   -> '0.56267'
 212 ddsub248 subtract 0 '-56267E-2'   -> '562.67'
 213 ddsub249 subtract 0 '-56267E-1'   -> '5626.7'
 214 ddsub250 subtract 0 '-56267E-0'   -> '56267'
 215
 216 -- now some more from the 'new' add
 217 ddsub301 subtract '1.23456789'  '1.00000000' -> '0.23456789'
 218 ddsub302 subtract '1.23456789'  '1.00000011' -> '0.23456778'
 219
 220 -- some carrying effects
 221 ddsub321 subtract '0.9998'  '0.0000' -> '0.9998'
 222 ddsub322 subtract '0.9998'  '0.0001' -> '0.9997'
 223 ddsub323 subtract '0.9998'  '0.0002' -> '0.9996'
 224 ddsub324 subtract '0.9998'  '0.0003' -> '0.9995'
 225 ddsub325 subtract '0.9998'  '-0.0000' -> '0.9998'
 226 ddsub326 subtract '0.9998'  '-0.0001' -> '0.9999'
 227 ddsub327 subtract '0.9998'  '-0.0002' -> '1.0000'
 228 ddsub328 subtract '0.9998'  '-0.0003' -> '1.0001'
 229
 230 -- internal boundaries
 231 ddsub346 subtract '10000e+9'  '7'   -> '9999999999993'
 232 ddsub347 subtract '10000e+9'  '70'   -> '9999999999930'
 233 ddsub348 subtract '10000e+9'  '700'   -> '9999999999300'
 234 ddsub349 subtract '10000e+9'  '7000'   -> '9999999993000'
 235 ddsub350 subtract '10000e+9'  '70000'   -> '9999999930000'
 236 ddsub351 subtract '10000e+9'  '700000'   -> '9999999300000'
 237 ddsub352 subtract '7' '10000e+9'   -> '-9999999999993'
 238 ddsub353 subtract '70' '10000e+9'   -> '-9999999999930'
 239 ddsub354 subtract '700' '10000e+9'   -> '-9999999999300'
 240 ddsub355 subtract '7000' '10000e+9'   -> '-9999999993000'
 241 ddsub356 subtract '70000' '10000e+9'   -> '-9999999930000'
 242 ddsub357 subtract '700000' '10000e+9'   -> '-9999999300000'
 243
 244 -- zero preservation
 245 ddsub361 subtract 1 '0.0001' -> '0.9999'
 246 ddsub362 subtract 1 '0.00001' -> '0.99999'
 247 ddsub363 subtract 1 '0.000001' -> '0.999999'
 248 ddsub364 subtract 1 '0.0000000000000001' -> '0.9999999999999999'
 249 ddsub365 subtract 1 '0.00000000000000001' -> '1.000000000000000' Inexact Rounded
 250 ddsub366 subtract 1 '0.000000000000000001' -> '1.000000000000000' Inexact Rounded
 251
 252 -- some funny zeros [in case of bad signum]
 253 ddsub370 subtract 1  0  -> 1
 254 ddsub371 subtract 1 0.  -> 1
 255 ddsub372 subtract 1  .0 -> 1.0
 256 ddsub373 subtract 1 0.0 -> 1.0
 257 ddsub374 subtract  0  1 -> -1
 258 ddsub375 subtract 0.  1 -> -1
 259 ddsub376 subtract  .0 1 -> -1.0
 260 ddsub377 subtract 0.0 1 -> -1.0
 261
 262 -- leading 0 digit before round
 263 ddsub910 subtract -103519362 -51897955.3 -> -51621406.7
 264 ddsub911 subtract 159579.444 89827.5229 -> 69751.9211
 265
 266 ddsub920 subtract 333.0000000123456 33.00000001234566 -> 299.9999999999999 Inexact Rounded
 267 ddsub921 subtract 333.0000000123456 33.00000001234565 -> 300.0000000000000 Inexact Rounded
 268 ddsub922 subtract 133.0000000123456 33.00000001234565 ->  99.99999999999995
 269 ddsub923 subtract 133.0000000123456 33.00000001234564 ->  99.99999999999996
 270 ddsub924 subtract 133.0000000123456 33.00000001234540 -> 100.0000000000002 Rounded
 271 ddsub925 subtract 133.0000000123456 43.00000001234560 ->  90.00000000000000
 272 ddsub926 subtract 133.0000000123456 43.00000001234561 ->  89.99999999999999
 273 ddsub927 subtract 133.0000000123456 43.00000001234566 ->  89.99999999999994
 274 ddsub928 subtract 101.0000000123456 91.00000001234566 ->   9.99999999999994
 275 ddsub929 subtract 101.0000000123456 99.00000001234566 ->   1.99999999999994
 276
 277 -- more LHS swaps [were fixed]
 278 ddsub390 subtract '-56267E-10'   0 ->  '-0.0000056267'
 279 ddsub391 subtract '-56267E-6'    0 ->  '-0.056267'
 280 ddsub392 subtract '-56267E-5'    0 ->  '-0.56267'
 281 ddsub393 subtract '-56267E-4'    0 ->  '-5.6267'
 282 ddsub394 subtract '-56267E-3'    0 ->  '-56.267'
 283 ddsub395 subtract '-56267E-2'    0 ->  '-562.67'
 284 ddsub396 subtract '-56267E-1'    0 ->  '-5626.7'
 285 ddsub397 subtract '-56267E-0'    0 ->  '-56267'
 286 ddsub398 subtract '-5E-10'       0 ->  '-5E-10'
 287 ddsub399 subtract '-5E-7'        0 ->  '-5E-7'
 288 ddsub400 subtract '-5E-6'        0 ->  '-0.000005'
 289 ddsub401 subtract '-5E-5'        0 ->  '-0.00005'
 290 ddsub402 subtract '-5E-4'        0 ->  '-0.0005'
 291 ddsub403 subtract '-5E-1'        0 ->  '-0.5'
 292 ddsub404 subtract '-5E0'         0 ->  '-5'
 293 ddsub405 subtract '-5E1'         0 ->  '-50'
 294 ddsub406 subtract '-5E5'         0 ->  '-500000'
 295 ddsub407 subtract '-5E15'        0 ->  '-5000000000000000'
 296 ddsub408 subtract '-5E16'        0 ->  '-5.000000000000000E+16'  Rounded
 297 ddsub409 subtract '-5E17'        0 ->  '-5.000000000000000E+17'  Rounded
 298 ddsub410 subtract '-5E18'        0 ->  '-5.000000000000000E+18'  Rounded
 299 ddsub411 subtract '-5E100'       0 ->  '-5.000000000000000E+100' Rounded
 300
 301 -- more RHS swaps [were fixed]
 302 ddsub420 subtract 0  '-56267E-10' ->  '0.0000056267'
 303 ddsub421 subtract 0  '-56267E-6'  ->  '0.056267'
 304 ddsub422 subtract 0  '-56267E-5'  ->  '0.56267'
 305 ddsub423 subtract 0  '-56267E-4'  ->  '5.6267'
 306 ddsub424 subtract 0  '-56267E-3'  ->  '56.267'
 307 ddsub425 subtract 0  '-56267E-2'  ->  '562.67'
 308 ddsub426 subtract 0  '-56267E-1'  ->  '5626.7'
 309 ddsub427 subtract 0  '-56267E-0'  ->  '56267'
 310 ddsub428 subtract 0  '-5E-10'     ->  '5E-10'
 311 ddsub429 subtract 0  '-5E-7'      ->  '5E-7'
 312 ddsub430 subtract 0  '-5E-6'      ->  '0.000005'
 313 ddsub431 subtract 0  '-5E-5'      ->  '0.00005'
 314 ddsub432 subtract 0  '-5E-4'      ->  '0.0005'
 315 ddsub433 subtract 0  '-5E-1'      ->  '0.5'
 316 ddsub434 subtract 0  '-5E0'       ->  '5'
 317 ddsub435 subtract 0  '-5E1'       ->  '50'
 318 ddsub436 subtract 0  '-5E5'       ->  '500000'
 319 ddsub437 subtract 0  '-5E15'      ->  '5000000000000000'
 320 ddsub438 subtract 0  '-5E16'      ->  '5.000000000000000E+16'   Rounded
 321 ddsub439 subtract 0  '-5E17'      ->  '5.000000000000000E+17'   Rounded
 322 ddsub440 subtract 0  '-5E18'      ->  '5.000000000000000E+18'   Rounded
 323 ddsub441 subtract 0  '-5E100'     ->  '5.000000000000000E+100'  Rounded
 324
 325
 326 -- try borderline precision, with carries, etc.
 327 ddsub461 subtract '1E+16' '1'        -> '9999999999999999'
 328 ddsub462 subtract '1E+12' '-1.111'   -> '1000000000001.111'
 329 ddsub463 subtract '1.111'  '-1E+12'  -> '1000000000001.111'
 330 ddsub464 subtract '-1'    '-1E+16'   -> '9999999999999999'
 331 ddsub465 subtract '7E+15' '1'        -> '6999999999999999'
 332 ddsub466 subtract '7E+12' '-1.111'   -> '7000000000001.111'
 333 ddsub467 subtract '1.111'  '-7E+12'  -> '7000000000001.111'
 334 ddsub468 subtract '-1'    '-7E+15'   -> '6999999999999999'
 335
 336 --                  1234567890123456       1234567890123456      1 23456789012345
 337 ddsub470 subtract '0.4444444444444444'  '-0.5555555555555563' -> '1.000000000000001' Inexact Rounded
 338 ddsub471 subtract '0.4444444444444444'  '-0.5555555555555562' -> '1.000000000000001' Inexact Rounded
 339 ddsub472 subtract '0.4444444444444444'  '-0.5555555555555561' -> '1.000000000000000' Inexact Rounded
 340 ddsub473 subtract '0.4444444444444444'  '-0.5555555555555560' -> '1.000000000000000' Inexact Rounded
 341 ddsub474 subtract '0.4444444444444444'  '-0.5555555555555559' -> '1.000000000000000' Inexact Rounded
 342 ddsub475 subtract '0.4444444444444444'  '-0.5555555555555558' -> '1.000000000000000' Inexact Rounded
 343 ddsub476 subtract '0.4444444444444444'  '-0.5555555555555557' -> '1.000000000000000' Inexact Rounded
 344 ddsub477 subtract '0.4444444444444444'  '-0.5555555555555556' -> '1.000000000000000' Rounded
 345 ddsub478 subtract '0.4444444444444444'  '-0.5555555555555555' -> '0.9999999999999999'
 346 ddsub479 subtract '0.4444444444444444'  '-0.5555555555555554' -> '0.9999999999999998'
 347 ddsub480 subtract '0.4444444444444444'  '-0.5555555555555553' -> '0.9999999999999997'
 348 ddsub481 subtract '0.4444444444444444'  '-0.5555555555555552' -> '0.9999999999999996'
 349 ddsub482 subtract '0.4444444444444444'  '-0.5555555555555551' -> '0.9999999999999995'
 350 ddsub483 subtract '0.4444444444444444'  '-0.5555555555555550' -> '0.9999999999999994'
 351
 352 -- and some more, including residue effects and different roundings
 353 rounding: half_up
 354 ddsub500 subtract '1231234567456789' 0             -> '1231234567456789'
 355 ddsub501 subtract '1231234567456789' 0.000000001   -> '1231234567456789' Inexact Rounded
 356 ddsub502 subtract '1231234567456789' 0.000001      -> '1231234567456789' Inexact Rounded
 357 ddsub503 subtract '1231234567456789' 0.1           -> '1231234567456789' Inexact Rounded
 358 ddsub504 subtract '1231234567456789' 0.4           -> '1231234567456789' Inexact Rounded
 359 ddsub505 subtract '1231234567456789' 0.49          -> '1231234567456789' Inexact Rounded
 360 ddsub506 subtract '1231234567456789' 0.499999      -> '1231234567456789' Inexact Rounded
 361 ddsub507 subtract '1231234567456789' 0.499999999   -> '1231234567456789' Inexact Rounded
 362 ddsub508 subtract '1231234567456789' 0.5           -> '1231234567456789' Inexact Rounded
 363 ddsub509 subtract '1231234567456789' 0.500000001   -> '1231234567456788' Inexact Rounded
 364 ddsub510 subtract '1231234567456789' 0.500001      -> '1231234567456788' Inexact Rounded
 365 ddsub511 subtract '1231234567456789' 0.51          -> '1231234567456788' Inexact Rounded
 366 ddsub512 subtract '1231234567456789' 0.6           -> '1231234567456788' Inexact Rounded
 367 ddsub513 subtract '1231234567456789' 0.9           -> '1231234567456788' Inexact Rounded
 368 ddsub514 subtract '1231234567456789' 0.99999       -> '1231234567456788' Inexact Rounded
 369 ddsub515 subtract '1231234567456789' 0.999999999   -> '1231234567456788' Inexact Rounded
 370 ddsub516 subtract '1231234567456789' 1             -> '1231234567456788'
 371 ddsub517 subtract '1231234567456789' 1.000000001   -> '1231234567456788' Inexact Rounded
 372 ddsub518 subtract '1231234567456789' 1.00001       -> '1231234567456788' Inexact Rounded
 373 ddsub519 subtract '1231234567456789' 1.1           -> '1231234567456788' Inexact Rounded
 374
 375 rounding: half_even
 376 ddsub520 subtract '1231234567456789' 0             -> '1231234567456789'
 377 ddsub521 subtract '1231234567456789' 0.000000001   -> '1231234567456789' Inexact Rounded
 378 ddsub522 subtract '1231234567456789' 0.000001      -> '1231234567456789' Inexact Rounded
 379 ddsub523 subtract '1231234567456789' 0.1           -> '1231234567456789' Inexact Rounded
 380 ddsub524 subtract '1231234567456789' 0.4           -> '1231234567456789' Inexact Rounded
 381 ddsub525 subtract '1231234567456789' 0.49          -> '1231234567456789' Inexact Rounded
 382 ddsub526 subtract '1231234567456789' 0.499999      -> '1231234567456789' Inexact Rounded
 383 ddsub527 subtract '1231234567456789' 0.499999999   -> '1231234567456789' Inexact Rounded
 384 ddsub528 subtract '1231234567456789' 0.5           -> '1231234567456788' Inexact Rounded
 385 ddsub529 subtract '1231234567456789' 0.500000001   -> '1231234567456788' Inexact Rounded
 386 ddsub530 subtract '1231234567456789' 0.500001      -> '1231234567456788' Inexact Rounded
 387 ddsub531 subtract '1231234567456789' 0.51          -> '1231234567456788' Inexact Rounded
 388 ddsub532 subtract '1231234567456789' 0.6           -> '1231234567456788' Inexact Rounded
 389 ddsub533 subtract '1231234567456789' 0.9           -> '1231234567456788' Inexact Rounded
 390 ddsub534 subtract '1231234567456789' 0.99999       -> '1231234567456788' Inexact Rounded
 391 ddsub535 subtract '1231234567456789' 0.999999999   -> '1231234567456788' Inexact Rounded
 392 ddsub536 subtract '1231234567456789' 1             -> '1231234567456788'
 393 ddsub537 subtract '1231234567456789' 1.00000001    -> '1231234567456788' Inexact Rounded
 394 ddsub538 subtract '1231234567456789' 1.00001       -> '1231234567456788' Inexact Rounded
 395 ddsub539 subtract '1231234567456789' 1.1           -> '1231234567456788' Inexact Rounded
 396 -- critical few with even bottom digit...
 397 ddsub540 subtract '1231234567456788' 0.499999999   -> '1231234567456788' Inexact Rounded
 398 ddsub541 subtract '1231234567456788' 0.5           -> '1231234567456788' Inexact Rounded
 399 ddsub542 subtract '1231234567456788' 0.500000001   -> '1231234567456787' Inexact Rounded
 400
 401 rounding: down
 402 ddsub550 subtract '1231234567456789' 0             -> '1231234567456789'
 403 ddsub551 subtract '1231234567456789' 0.000000001   -> '1231234567456788' Inexact Rounded
 404 ddsub552 subtract '1231234567456789' 0.000001      -> '1231234567456788' Inexact Rounded
 405 ddsub553 subtract '1231234567456789' 0.1           -> '1231234567456788' Inexact Rounded
 406 ddsub554 subtract '1231234567456789' 0.4           -> '1231234567456788' Inexact Rounded
 407 ddsub555 subtract '1231234567456789' 0.49          -> '1231234567456788' Inexact Rounded
 408 ddsub556 subtract '1231234567456789' 0.499999      -> '1231234567456788' Inexact Rounded
 409 ddsub557 subtract '1231234567456789' 0.499999999   -> '1231234567456788' Inexact Rounded
 410 ddsub558 subtract '1231234567456789' 0.5           -> '1231234567456788' Inexact Rounded
 411 ddsub559 subtract '1231234567456789' 0.500000001   -> '1231234567456788' Inexact Rounded
 412 ddsub560 subtract '1231234567456789' 0.500001      -> '1231234567456788' Inexact Rounded
 413 ddsub561 subtract '1231234567456789' 0.51          -> '1231234567456788' Inexact Rounded
 414 ddsub562 subtract '1231234567456789' 0.6           -> '1231234567456788' Inexact Rounded
 415 ddsub563 subtract '1231234567456789' 0.9           -> '1231234567456788' Inexact Rounded
 416 ddsub564 subtract '1231234567456789' 0.99999       -> '1231234567456788' Inexact Rounded
 417 ddsub565 subtract '1231234567456789' 0.999999999   -> '1231234567456788' Inexact Rounded
 418 ddsub566 subtract '1231234567456789' 1             -> '1231234567456788'
 419 ddsub567 subtract '1231234567456789' 1.00000001    -> '1231234567456787' Inexact Rounded
 420 ddsub568 subtract '1231234567456789' 1.00001       -> '1231234567456787' Inexact Rounded
 421 ddsub569 subtract '1231234567456789' 1.1           -> '1231234567456787' Inexact Rounded
 422
 423 -- symmetry...
 424 rounding: half_up
 425 ddsub600 subtract 0             '1231234567456789' -> '-1231234567456789'
 426 ddsub601 subtract 0.000000001   '1231234567456789' -> '-1231234567456789' Inexact Rounded
 427 ddsub602 subtract 0.000001      '1231234567456789' -> '-1231234567456789' Inexact Rounded
 428 ddsub603 subtract 0.1           '1231234567456789' -> '-1231234567456789' Inexact Rounded
 429 ddsub604 subtract 0.4           '1231234567456789' -> '-1231234567456789' Inexact Rounded
 430 ddsub605 subtract 0.49          '1231234567456789' -> '-1231234567456789' Inexact Rounded
 431 ddsub606 subtract 0.499999      '1231234567456789' -> '-1231234567456789' Inexact Rounded
 432 ddsub607 subtract 0.499999999   '1231234567456789' -> '-1231234567456789' Inexact Rounded
 433 ddsub608 subtract 0.5           '1231234567456789' -> '-1231234567456789' Inexact Rounded
 434 ddsub609 subtract 0.500000001   '1231234567456789' -> '-1231234567456788' Inexact Rounded
 435 ddsub610 subtract 0.500001      '1231234567456789' -> '-1231234567456788' Inexact Rounded
 436 ddsub611 subtract 0.51          '1231234567456789' -> '-1231234567456788' Inexact Rounded
 437 ddsub612 subtract 0.6           '1231234567456789' -> '-1231234567456788' Inexact Rounded
 438 ddsub613 subtract 0.9           '1231234567456789' -> '-1231234567456788' Inexact Rounded
 439 ddsub614 subtract 0.99999       '1231234567456789' -> '-1231234567456788' Inexact Rounded
 440 ddsub615 subtract 0.999999999   '1231234567456789' -> '-1231234567456788' Inexact Rounded
 441 ddsub616 subtract 1             '1231234567456789' -> '-1231234567456788'
 442 ddsub617 subtract 1.000000001   '1231234567456789' -> '-1231234567456788' Inexact Rounded
 443 ddsub618 subtract 1.00001       '1231234567456789' -> '-1231234567456788' Inexact Rounded
 444 ddsub619 subtract 1.1           '1231234567456789' -> '-1231234567456788' Inexact Rounded
 445
 446 rounding: half_even
 447 ddsub620 subtract 0             '1231234567456789' -> '-1231234567456789'
 448 ddsub621 subtract 0.000000001   '1231234567456789' -> '-1231234567456789' Inexact Rounded
 449 ddsub622 subtract 0.000001      '1231234567456789' -> '-1231234567456789' Inexact Rounded
 450 ddsub623 subtract 0.1           '1231234567456789' -> '-1231234567456789' Inexact Rounded
 451 ddsub624 subtract 0.4           '1231234567456789' -> '-1231234567456789' Inexact Rounded
 452 ddsub625 subtract 0.49          '1231234567456789' -> '-1231234567456789' Inexact Rounded
 453 ddsub626 subtract 0.499999      '1231234567456789' -> '-1231234567456789' Inexact Rounded
 454 ddsub627 subtract 0.499999999   '1231234567456789' -> '-1231234567456789' Inexact Rounded
 455 ddsub628 subtract 0.5           '1231234567456789' -> '-1231234567456788' Inexact Rounded
 456 ddsub629 subtract 0.500000001   '1231234567456789' -> '-1231234567456788' Inexact Rounded
 457 ddsub630 subtract 0.500001      '1231234567456789' -> '-1231234567456788' Inexact Rounded
 458 ddsub631 subtract 0.51          '1231234567456789' -> '-1231234567456788' Inexact Rounded
 459 ddsub632 subtract 0.6           '1231234567456789' -> '-1231234567456788' Inexact Rounded
 460 ddsub633 subtract 0.9           '1231234567456789' -> '-1231234567456788' Inexact Rounded
 461 ddsub634 subtract 0.99999       '1231234567456789' -> '-1231234567456788' Inexact Rounded
 462 ddsub635 subtract 0.999999999   '1231234567456789' -> '-1231234567456788' Inexact Rounded
 463 ddsub636 subtract 1             '1231234567456789' -> '-1231234567456788'
 464 ddsub637 subtract 1.00000001    '1231234567456789' -> '-1231234567456788' Inexact Rounded
 465 ddsub638 subtract 1.00001       '1231234567456789' -> '-1231234567456788' Inexact Rounded
 466 ddsub639 subtract 1.1           '1231234567456789' -> '-1231234567456788' Inexact Rounded
 467 -- critical few with even bottom digit...
 468 ddsub640 subtract 0.499999999   '1231234567456788' -> '-1231234567456788' Inexact Rounded
 469 ddsub641 subtract 0.5           '1231234567456788' -> '-1231234567456788' Inexact Rounded
 470 ddsub642 subtract 0.500000001   '1231234567456788' -> '-1231234567456787' Inexact Rounded
 471
 472 rounding: down
 473 ddsub650 subtract 0             '1231234567456789' -> '-1231234567456789'
 474 ddsub651 subtract 0.000000001   '1231234567456789' -> '-1231234567456788' Inexact Rounded
 475 ddsub652 subtract 0.000001      '1231234567456789' -> '-1231234567456788' Inexact Rounded
 476 ddsub653 subtract 0.1           '1231234567456789' -> '-1231234567456788' Inexact Rounded
 477 ddsub654 subtract 0.4           '1231234567456789' -> '-1231234567456788' Inexact Rounded
 478 ddsub655 subtract 0.49          '1231234567456789' -> '-1231234567456788' Inexact Rounded
 479 ddsub656 subtract 0.499999      '1231234567456789' -> '-1231234567456788' Inexact Rounded
 480 ddsub657 subtract 0.499999999   '1231234567456789' -> '-1231234567456788' Inexact Rounded
 481 ddsub658 subtract 0.5           '1231234567456789' -> '-1231234567456788' Inexact Rounded
 482 ddsub659 subtract 0.500000001   '1231234567456789' -> '-1231234567456788' Inexact Rounded
 483 ddsub660 subtract 0.500001      '1231234567456789' -> '-1231234567456788' Inexact Rounded
 484 ddsub661 subtract 0.51          '1231234567456789' -> '-1231234567456788' Inexact Rounded
 485 ddsub662 subtract 0.6           '1231234567456789' -> '-1231234567456788' Inexact Rounded
 486 ddsub663 subtract 0.9           '1231234567456789' -> '-1231234567456788' Inexact Rounded
 487 ddsub664 subtract 0.99999       '1231234567456789' -> '-1231234567456788' Inexact Rounded
 488 ddsub665 subtract 0.999999999   '1231234567456789' -> '-1231234567456788' Inexact Rounded
 489 ddsub666 subtract 1             '1231234567456789' -> '-1231234567456788'
 490 ddsub667 subtract 1.00000001    '1231234567456789' -> '-1231234567456787' Inexact Rounded
 491 ddsub668 subtract 1.00001       '1231234567456789' -> '-1231234567456787' Inexact Rounded
 492 ddsub669 subtract 1.1           '1231234567456789' -> '-1231234567456787' Inexact Rounded
 493
 494
 495 -- lots of leading zeros in intermediate result, and showing effects of
 496 -- input rounding would have affected the following
 497 rounding: half_up
 498 ddsub670 subtract '1234567456789' '1234567456788.1' -> 0.9
 499 ddsub671 subtract '1234567456789' '1234567456788.9' -> 0.1
 500 ddsub672 subtract '1234567456789' '1234567456789.1' -> -0.1
 501 ddsub673 subtract '1234567456789' '1234567456789.5' -> -0.5
 502 ddsub674 subtract '1234567456789' '1234567456789.9' -> -0.9
 503
 504 rounding: half_even
 505 ddsub680 subtract '1234567456789' '1234567456788.1' -> 0.9
 506 ddsub681 subtract '1234567456789' '1234567456788.9' -> 0.1
 507 ddsub682 subtract '1234567456789' '1234567456789.1' -> -0.1
 508 ddsub683 subtract '1234567456789' '1234567456789.5' -> -0.5
 509 ddsub684 subtract '1234567456789' '1234567456789.9' -> -0.9
 510
 511 ddsub685 subtract '1234567456788' '1234567456787.1' -> 0.9
 512 ddsub686 subtract '1234567456788' '1234567456787.9' -> 0.1
 513 ddsub687 subtract '1234567456788' '1234567456788.1' -> -0.1
 514 ddsub688 subtract '1234567456788' '1234567456788.5' -> -0.5
 515 ddsub689 subtract '1234567456788' '1234567456788.9' -> -0.9
 516
 517 rounding: down
 518 ddsub690 subtract '1234567456789' '1234567456788.1' -> 0.9
 519 ddsub691 subtract '1234567456789' '1234567456788.9' -> 0.1
 520 ddsub692 subtract '1234567456789' '1234567456789.1' -> -0.1
 521 ddsub693 subtract '1234567456789' '1234567456789.5' -> -0.5
 522 ddsub694 subtract '1234567456789' '1234567456789.9' -> -0.9
 523
 524 -- Specials
 525 ddsub780 subtract -Inf   Inf   -> -Infinity
 526 ddsub781 subtract -Inf   1000  -> -Infinity
 527 ddsub782 subtract -Inf   1     -> -Infinity
 528 ddsub783 subtract -Inf  -0     -> -Infinity
 529 ddsub784 subtract -Inf  -1     -> -Infinity
 530 ddsub785 subtract -Inf  -1000  -> -Infinity
 531 ddsub787 subtract -1000  Inf   -> -Infinity
 532 ddsub788 subtract -Inf   Inf   -> -Infinity
 533 ddsub789 subtract -1     Inf   -> -Infinity
 534 ddsub790 subtract  0     Inf   -> -Infinity
 535 ddsub791 subtract  1     Inf   -> -Infinity
 536 ddsub792 subtract  1000  Inf   -> -Infinity
 537
 538 ddsub800 subtract  Inf   Inf   ->  NaN  Invalid_operation
 539 ddsub801 subtract  Inf   1000  ->  Infinity
 540 ddsub802 subtract  Inf   1     ->  Infinity
 541 ddsub803 subtract  Inf   0     ->  Infinity
 542 ddsub804 subtract  Inf  -0     ->  Infinity
 543 ddsub805 subtract  Inf  -1     ->  Infinity
 544 ddsub806 subtract  Inf  -1000  ->  Infinity
 545 ddsub807 subtract  Inf  -Inf   ->  Infinity
 546 ddsub808 subtract -1000 -Inf   ->  Infinity
 547 ddsub809 subtract -Inf  -Inf   ->  NaN  Invalid_operation
 548 ddsub810 subtract -1    -Inf   ->  Infinity
 549 ddsub811 subtract -0    -Inf   ->  Infinity
 550 ddsub812 subtract  0    -Inf   ->  Infinity
 551 ddsub813 subtract  1    -Inf   ->  Infinity
 552 ddsub814 subtract  1000 -Inf   ->  Infinity
 553 ddsub815 subtract  Inf  -Inf   ->  Infinity
 554
 555 ddsub821 subtract  NaN   Inf   ->  NaN
 556 ddsub822 subtract -NaN   1000  -> -NaN
 557 ddsub823 subtract  NaN   1     ->  NaN
 558 ddsub824 subtract  NaN   0     ->  NaN
 559 ddsub825 subtract  NaN  -0     ->  NaN
 560 ddsub826 subtract  NaN  -1     ->  NaN
 561 ddsub827 subtract  NaN  -1000  ->  NaN
 562 ddsub828 subtract  NaN  -Inf   ->  NaN
 563 ddsub829 subtract -NaN   NaN   -> -NaN
 564 ddsub830 subtract -Inf   NaN   ->  NaN
 565 ddsub831 subtract -1000  NaN   ->  NaN
 566 ddsub832 subtract -1     NaN   ->  NaN
 567 ddsub833 subtract -0     NaN   ->  NaN
 568 ddsub834 subtract  0     NaN   ->  NaN
 569 ddsub835 subtract  1     NaN   ->  NaN
 570 ddsub836 subtract  1000 -NaN   -> -NaN
 571 ddsub837 subtract  Inf   NaN   ->  NaN
 572
 573 ddsub841 subtract  sNaN  Inf   ->  NaN  Invalid_operation
 574 ddsub842 subtract -sNaN  1000  -> -NaN  Invalid_operation
 575 ddsub843 subtract  sNaN  1     ->  NaN  Invalid_operation
 576 ddsub844 subtract  sNaN  0     ->  NaN  Invalid_operation
 577 ddsub845 subtract  sNaN -0     ->  NaN  Invalid_operation
 578 ddsub846 subtract  sNaN -1     ->  NaN  Invalid_operation
 579 ddsub847 subtract  sNaN -1000  ->  NaN  Invalid_operation
 580 ddsub848 subtract  sNaN  NaN   ->  NaN  Invalid_operation
 581 ddsub849 subtract  sNaN sNaN   ->  NaN  Invalid_operation
 582 ddsub850 subtract  NaN  sNaN   ->  NaN  Invalid_operation
 583 ddsub851 subtract -Inf -sNaN   -> -NaN  Invalid_operation
 584 ddsub852 subtract -1000 sNaN   ->  NaN  Invalid_operation
 585 ddsub853 subtract -1    sNaN   ->  NaN  Invalid_operation
 586 ddsub854 subtract -0    sNaN   ->  NaN  Invalid_operation
 587 ddsub855 subtract  0    sNaN   ->  NaN  Invalid_operation
 588 ddsub856 subtract  1    sNaN   ->  NaN  Invalid_operation
 589 ddsub857 subtract  1000 sNaN   ->  NaN  Invalid_operation
 590 ddsub858 subtract  Inf  sNaN   ->  NaN  Invalid_operation
 591 ddsub859 subtract  NaN  sNaN   ->  NaN  Invalid_operation
 592
 593 -- propagating NaNs
 594 ddsub861 subtract  NaN01   -Inf     ->  NaN1
 595 ddsub862 subtract -NaN02   -1000    -> -NaN2
 596 ddsub863 subtract  NaN03    1000    ->  NaN3
 597 ddsub864 subtract  NaN04    Inf     ->  NaN4
 598 ddsub865 subtract  NaN05    NaN61   ->  NaN5
 599 ddsub866 subtract -Inf     -NaN71   -> -NaN71
 600 ddsub867 subtract -1000     NaN81   ->  NaN81
 601 ddsub868 subtract  1000     NaN91   ->  NaN91
 602 ddsub869 subtract  Inf      NaN101  ->  NaN101
 603 ddsub871 subtract  sNaN011  -Inf    ->  NaN11  Invalid_operation
 604 ddsub872 subtract  sNaN012  -1000   ->  NaN12  Invalid_operation
 605 ddsub873 subtract -sNaN013   1000   -> -NaN13  Invalid_operation
 606 ddsub874 subtract  sNaN014   NaN171 ->  NaN14  Invalid_operation
 607 ddsub875 subtract  sNaN015  sNaN181 ->  NaN15  Invalid_operation
 608 ddsub876 subtract  NaN016   sNaN191 ->  NaN191 Invalid_operation
 609 ddsub877 subtract -Inf      sNaN201 ->  NaN201 Invalid_operation
 610 ddsub878 subtract -1000     sNaN211 ->  NaN211 Invalid_operation
 611 ddsub879 subtract  1000    -sNaN221 -> -NaN221 Invalid_operation
 612 ddsub880 subtract  Inf      sNaN231 ->  NaN231 Invalid_operation
 613 ddsub881 subtract  NaN025   sNaN241 ->  NaN241 Invalid_operation
 614
 615 -- edge case spills
 616 ddsub901 subtract  2.E-3  1.002  -> -1.000
 617 ddsub902 subtract  2.0E-3  1.002  -> -1.0000
 618 ddsub903 subtract  2.00E-3  1.0020  -> -1.00000
 619 ddsub904 subtract  2.000E-3  1.00200  -> -1.000000
 620 ddsub905 subtract  2.0000E-3  1.002000  -> -1.0000000
 621 ddsub906 subtract  2.00000E-3  1.0020000  -> -1.00000000
 622 ddsub907 subtract  2.000000E-3  1.00200000  -> -1.000000000
 623 ddsub908 subtract  2.0000000E-3  1.002000000  -> -1.0000000000
 624
 625 -- subnormals and overflows covered under Add
 626
 627 -- Null tests
 628 ddsub9990 subtract 10  # -> NaN Invalid_operation
 629 ddsub9991 subtract  # 10 -> NaN Invalid_operation