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agriconnect / libpython3.8-testsuite   deb

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Version: 3.8.5-1+stretch1 

/ usr / lib / python3.8 / test / decimaltestdata / ddRemainderNear.decTest

------------------------------------------------------------------------
-- ddRemainderNear.decTest -- decDouble remainder-near                --
-- Copyright (c) IBM Corporation, 1981, 2008.  All rights reserved.   --
------------------------------------------------------------------------
-- Please see the document "General Decimal Arithmetic Testcases"     --
-- at http://www2.hursley.ibm.com/decimal for the description of      --
-- these testcases.                                                   --
--                                                                    --
-- These testcases are experimental ('beta' versions), and they       --
-- may contain errors.  They are offered on an as-is basis.  In       --
-- particular, achieving the same results as the tests here is not    --
-- a guarantee that an implementation complies with any Standard      --
-- or specification.  The tests are not exhaustive.                   --
--                                                                    --
-- Please send comments, suggestions, and corrections to the author:  --
--   Mike Cowlishaw, IBM Fellow                                       --
--   IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK         --
--   mfc@uk.ibm.com                                                   --
------------------------------------------------------------------------
version: 2.59

precision:   16
maxExponent: 384
minExponent: -383
extended:    1
clamp:       1
rounding:    half_even

-- sanity checks (as base, above)
ddrmn001 remaindernear  1     1    ->  0
ddrmn002 remaindernear  2     1    ->  0
ddrmn003 remaindernear  1     2    ->  1
ddrmn004 remaindernear  2     2    ->  0
ddrmn005 remaindernear  0     1    ->  0
ddrmn006 remaindernear  0     2    ->  0
ddrmn007 remaindernear  1     3    ->  1
ddrmn008 remaindernear  2     3    -> -1
ddrmn009 remaindernear  3     3    ->  0

ddrmn010 remaindernear  2.4   1    ->  0.4
ddrmn011 remaindernear  2.4   -1   ->  0.4
ddrmn012 remaindernear  -2.4  1    ->  -0.4
ddrmn013 remaindernear  -2.4  -1   ->  -0.4
ddrmn014 remaindernear  2.40  1    ->  0.40
ddrmn015 remaindernear  2.400 1    ->  0.400
ddrmn016 remaindernear  2.4   2    ->  0.4
ddrmn017 remaindernear  2.400 2    ->  0.400
ddrmn018 remaindernear  2.    2    ->  0
ddrmn019 remaindernear  20    20   ->  0

ddrmn020 remaindernear  187   187    ->  0
ddrmn021 remaindernear  5     2      ->  1
ddrmn022 remaindernear  5     2.0    ->  1.0
ddrmn023 remaindernear  5     2.000  ->  1.000
ddrmn024 remaindernear  5     0.200  ->  0.000
ddrmn025 remaindernear  5     0.200  ->  0.000

ddrmn030 remaindernear  1     2      ->  1
ddrmn031 remaindernear  1     4      ->  1
ddrmn032 remaindernear  1     8      ->  1

ddrmn033 remaindernear  1     16     ->  1
ddrmn034 remaindernear  1     32     ->  1
ddrmn035 remaindernear  1     64     ->  1
ddrmn040 remaindernear  1    -2      ->  1
ddrmn041 remaindernear  1    -4      ->  1
ddrmn042 remaindernear  1    -8      ->  1
ddrmn043 remaindernear  1    -16     ->  1
ddrmn044 remaindernear  1    -32     ->  1
ddrmn045 remaindernear  1    -64     ->  1
ddrmn050 remaindernear -1     2      ->  -1
ddrmn051 remaindernear -1     4      ->  -1
ddrmn052 remaindernear -1     8      ->  -1
ddrmn053 remaindernear -1     16     ->  -1
ddrmn054 remaindernear -1     32     ->  -1
ddrmn055 remaindernear -1     64     ->  -1
ddrmn060 remaindernear -1    -2      ->  -1
ddrmn061 remaindernear -1    -4      ->  -1
ddrmn062 remaindernear -1    -8      ->  -1
ddrmn063 remaindernear -1    -16     ->  -1
ddrmn064 remaindernear -1    -32     ->  -1
ddrmn065 remaindernear -1    -64     ->  -1

ddrmn066 remaindernear          9.9   1  -> -0.1
ddrmn067 remaindernear         99.7   1  -> -0.3
ddrmn068 remaindernear  999999999     1  -> 0
ddrmn069 remaindernear  999999999.4   1  -> 0.4
ddrmn070 remaindernear  999999999.5   1  -> -0.5
ddrmn071 remaindernear  999999999.9   1  -> -0.1
ddrmn072 remaindernear  999999999.999 1  -> -0.001
ddrmn073 remaindernear  999999.999999 1  -> -0.000001
ddrmn074 remaindernear  9             1  -> 0
ddrmn075 remaindernear  9999999999999999 1  -> 0
ddrmn076 remaindernear  9999999999999999 2  -> -1
ddrmn077 remaindernear  9999999999999999 3  -> 0
ddrmn078 remaindernear  9999999999999999 4  -> -1

ddrmn080 remaindernear  0.            1  -> 0
ddrmn081 remaindernear  .0            1  -> 0.0
ddrmn082 remaindernear  0.00          1  -> 0.00
ddrmn083 remaindernear  0.00E+9       1  -> 0
ddrmn084 remaindernear  0.00E+3       1  -> 0
ddrmn085 remaindernear  0.00E+2       1  -> 0
ddrmn086 remaindernear  0.00E+1       1  -> 0.0
ddrmn087 remaindernear  0.00E+0       1  -> 0.00
ddrmn088 remaindernear  0.00E-0       1  -> 0.00
ddrmn089 remaindernear  0.00E-1       1  -> 0.000
ddrmn090 remaindernear  0.00E-2       1  -> 0.0000
ddrmn091 remaindernear  0.00E-3       1  -> 0.00000
ddrmn092 remaindernear  0.00E-4       1  -> 0.000000
ddrmn093 remaindernear  0.00E-5       1  -> 0E-7
ddrmn094 remaindernear  0.00E-6       1  -> 0E-8
ddrmn095 remaindernear  0.0000E-50    1  -> 0E-54

-- Various flavours of remaindernear by 0
ddrmn101 remaindernear  0       0   -> NaN Division_undefined
ddrmn102 remaindernear  0      -0   -> NaN Division_undefined
ddrmn103 remaindernear -0       0   -> NaN Division_undefined
ddrmn104 remaindernear -0      -0   -> NaN Division_undefined
ddrmn105 remaindernear  0.0E5   0   -> NaN Division_undefined
ddrmn106 remaindernear  0.000   0   -> NaN Division_undefined
-- [Some think this next group should be Division_by_zero exception, but
-- IEEE 854 is explicit that it is Invalid operation .. for
-- remainder-near, anyway]
ddrmn107 remaindernear  0.0001  0   -> NaN Invalid_operation
ddrmn108 remaindernear  0.01    0   -> NaN Invalid_operation
ddrmn109 remaindernear  0.1     0   -> NaN Invalid_operation
ddrmn110 remaindernear  1       0   -> NaN Invalid_operation
ddrmn111 remaindernear  1       0.0 -> NaN Invalid_operation
ddrmn112 remaindernear 10       0.0 -> NaN Invalid_operation
ddrmn113 remaindernear 1E+100   0.0 -> NaN Invalid_operation
ddrmn114 remaindernear 1E+380   0   -> NaN Invalid_operation
ddrmn115 remaindernear  0.0001 -0   -> NaN Invalid_operation
ddrmn116 remaindernear  0.01   -0   -> NaN Invalid_operation
ddrmn119 remaindernear  0.1    -0   -> NaN Invalid_operation
ddrmn120 remaindernear  1      -0   -> NaN Invalid_operation
ddrmn121 remaindernear  1      -0.0 -> NaN Invalid_operation
ddrmn122 remaindernear 10      -0.0 -> NaN Invalid_operation
ddrmn123 remaindernear 1E+100  -0.0 -> NaN Invalid_operation
ddrmn124 remaindernear 1E+384  -0   -> NaN Invalid_operation
-- and zeros on left
ddrmn130 remaindernear  0      1   ->  0
ddrmn131 remaindernear  0     -1   ->  0
ddrmn132 remaindernear  0.0    1   ->  0.0
ddrmn133 remaindernear  0.0   -1   ->  0.0
ddrmn134 remaindernear -0      1   -> -0
ddrmn135 remaindernear -0     -1   -> -0
ddrmn136 remaindernear -0.0    1   -> -0.0
ddrmn137 remaindernear -0.0   -1   -> -0.0

-- 0.5ers
ddrmn143 remaindernear   0.5  2     ->  0.5
ddrmn144 remaindernear   0.5  2.1   ->  0.5
ddrmn145 remaindernear   0.5  2.01  ->  0.50
ddrmn146 remaindernear   0.5  2.001 ->  0.500
ddrmn147 remaindernear   0.50 2     ->  0.50
ddrmn148 remaindernear   0.50 2.01  ->  0.50
ddrmn149 remaindernear   0.50 2.001 ->  0.500

-- steadies
ddrmn150 remaindernear  1  1   -> 0
ddrmn151 remaindernear  1  2   -> 1
ddrmn152 remaindernear  1  3   -> 1
ddrmn153 remaindernear  1  4   -> 1
ddrmn154 remaindernear  1  5   -> 1
ddrmn155 remaindernear  1  6   -> 1
ddrmn156 remaindernear  1  7   -> 1
ddrmn157 remaindernear  1  8   -> 1
ddrmn158 remaindernear  1  9   -> 1
ddrmn159 remaindernear  1  10  -> 1
ddrmn160 remaindernear  1  1   -> 0
ddrmn161 remaindernear  2  1   -> 0
ddrmn162 remaindernear  3  1   -> 0
ddrmn163 remaindernear  4  1   -> 0
ddrmn164 remaindernear  5  1   -> 0
ddrmn165 remaindernear  6  1   -> 0
ddrmn166 remaindernear  7  1   -> 0
ddrmn167 remaindernear  8  1   -> 0
ddrmn168 remaindernear  9  1   -> 0
ddrmn169 remaindernear  10 1   -> 0

-- some differences from remainder
ddrmn171 remaindernear   0.4  1.020 ->  0.400
ddrmn172 remaindernear   0.50 1.020 ->  0.500
ddrmn173 remaindernear   0.51 1.020 ->  0.510
ddrmn174 remaindernear   0.52 1.020 -> -0.500
ddrmn175 remaindernear   0.6  1.020 -> -0.420

-- More flavours of remaindernear by 0
ddrmn201 remaindernear  0      0   -> NaN Division_undefined
ddrmn202 remaindernear  0.0E5  0   -> NaN Division_undefined
ddrmn203 remaindernear  0.000  0   -> NaN Division_undefined
ddrmn204 remaindernear  0.0001 0   -> NaN Invalid_operation
ddrmn205 remaindernear  0.01   0   -> NaN Invalid_operation
ddrmn206 remaindernear  0.1    0   -> NaN Invalid_operation
ddrmn207 remaindernear  1      0   -> NaN Invalid_operation
ddrmn208 remaindernear  1      0.0 -> NaN Invalid_operation
ddrmn209 remaindernear 10      0.0 -> NaN Invalid_operation
ddrmn210 remaindernear 1E+100  0.0 -> NaN Invalid_operation
ddrmn211 remaindernear 1E+380  0   -> NaN Invalid_operation

-- tests from the extended specification
ddrmn221 remaindernear 2.1     3   -> -0.9
ddrmn222 remaindernear  10     6   -> -2
ddrmn223 remaindernear  10     3   ->  1
ddrmn224 remaindernear -10     3   -> -1
ddrmn225 remaindernear  10.2   1   -> 0.2
ddrmn226 remaindernear  10     0.3 -> 0.1
ddrmn227 remaindernear   3.6   1.3 -> -0.3

-- some differences from remainder
ddrmn231 remaindernear  -0.4  1.020 -> -0.400
ddrmn232 remaindernear  -0.50 1.020 -> -0.500
ddrmn233 remaindernear  -0.51 1.020 -> -0.510
ddrmn234 remaindernear  -0.52 1.020 ->  0.500
ddrmn235 remaindernear  -0.6  1.020 ->  0.420

-- high Xs
ddrmn240 remaindernear  1E+2  1.00  ->  0.00

-- ddrmn3xx are from DiagBigDecimal
ddrmn301 remaindernear   1    3     ->  1
ddrmn302 remaindernear   5    5     ->  0
ddrmn303 remaindernear   13   10    ->  3
ddrmn304 remaindernear   13   50    ->  13
ddrmn305 remaindernear   13   100   ->  13
ddrmn306 remaindernear   13   1000  ->  13
ddrmn307 remaindernear   .13    1   ->  0.13
ddrmn308 remaindernear   0.133  1   ->  0.133
ddrmn309 remaindernear   0.1033 1   ->  0.1033
ddrmn310 remaindernear   1.033  1   ->  0.033
ddrmn311 remaindernear   10.33  1   ->  0.33
ddrmn312 remaindernear   10.33 10   ->  0.33
ddrmn313 remaindernear   103.3  1   ->  0.3
ddrmn314 remaindernear   133   10   ->  3
ddrmn315 remaindernear   1033  10   ->  3
ddrmn316 remaindernear   1033  50   -> -17
ddrmn317 remaindernear   101.0  3   -> -1.0
ddrmn318 remaindernear   102.0  3   ->  0.0
ddrmn319 remaindernear   103.0  3   ->  1.0
ddrmn320 remaindernear   2.40   1   ->  0.40
ddrmn321 remaindernear   2.400  1   ->  0.400
ddrmn322 remaindernear   2.4    1   ->  0.4
ddrmn323 remaindernear   2.4    2   ->  0.4
ddrmn324 remaindernear   2.400  2   ->  0.400
ddrmn325 remaindernear   1   0.3    ->  0.1
ddrmn326 remaindernear   1   0.30   ->  0.10
ddrmn327 remaindernear   1   0.300  ->  0.100
ddrmn328 remaindernear   1   0.3000 ->  0.1000
ddrmn329 remaindernear   1.0    0.3 ->  0.1
ddrmn330 remaindernear   1.00   0.3 ->  0.10
ddrmn331 remaindernear   1.000  0.3 ->  0.100
ddrmn332 remaindernear   1.0000 0.3 ->  0.1000
ddrmn333 remaindernear   0.5  2     ->  0.5
ddrmn334 remaindernear   0.5  2.1   ->  0.5
ddrmn335 remaindernear   0.5  2.01  ->  0.50
ddrmn336 remaindernear   0.5  2.001 ->  0.500
ddrmn337 remaindernear   0.50 2     ->  0.50
ddrmn338 remaindernear   0.50 2.01  ->  0.50
ddrmn339 remaindernear   0.50 2.001 ->  0.500

ddrmn340 remaindernear   0.5   0.5000001    ->  -1E-7
ddrmn341 remaindernear   0.5   0.50000001    ->  -1E-8
ddrmn342 remaindernear   0.5   0.500000001    ->  -1E-9
ddrmn343 remaindernear   0.5   0.5000000001    ->  -1E-10
ddrmn344 remaindernear   0.5   0.50000000001    ->  -1E-11
ddrmn345 remaindernear   0.5   0.4999999    ->  1E-7
ddrmn346 remaindernear   0.5   0.49999999    ->  1E-8
ddrmn347 remaindernear   0.5   0.499999999    ->  1E-9
ddrmn348 remaindernear   0.5   0.4999999999    ->  1E-10
ddrmn349 remaindernear   0.5   0.49999999999    ->  1E-11
ddrmn350 remaindernear   0.5   0.499999999999    ->  1E-12

ddrmn351 remaindernear   0.03  7  ->  0.03
ddrmn352 remaindernear   5   2    ->  1
ddrmn353 remaindernear   4.1   2    ->  0.1
ddrmn354 remaindernear   4.01   2    ->  0.01
ddrmn355 remaindernear   4.001   2    ->  0.001
ddrmn356 remaindernear   4.0001   2    ->  0.0001
ddrmn357 remaindernear   4.00001   2    ->  0.00001
ddrmn358 remaindernear   4.000001   2    ->  0.000001
ddrmn359 remaindernear   4.0000001   2    ->  1E-7

ddrmn360 remaindernear   1.2   0.7345 -> -0.2690
ddrmn361 remaindernear   0.8   12     ->  0.8
ddrmn362 remaindernear   0.8   0.2    ->  0.0
ddrmn363 remaindernear   0.8   0.3    -> -0.1
ddrmn364 remaindernear   0.800   12   ->  0.800
ddrmn365 remaindernear   0.800   1.7  ->  0.800
ddrmn366 remaindernear   2.400   2    ->  0.400

-- round to even
ddrmn371 remaindernear   121     2    ->  1
ddrmn372 remaindernear   122     2    ->  0
ddrmn373 remaindernear   123     2    -> -1
ddrmn374 remaindernear   124     2    ->  0
ddrmn375 remaindernear   125     2    ->  1
ddrmn376 remaindernear   126     2    ->  0
ddrmn377 remaindernear   127     2    -> -1

ddrmn381 remaindernear 12345  1         ->  0
ddrmn382 remaindernear 12345  1.0001    -> -0.2344
ddrmn383 remaindernear 12345  1.001     -> -0.333
ddrmn384 remaindernear 12345  1.01      -> -0.23
ddrmn385 remaindernear 12345  1.1       -> -0.3
ddrmn386 remaindernear 12355  4         -> -1
ddrmn387 remaindernear 12345  4         ->  1
ddrmn388 remaindernear 12355  4.0001    -> -1.3089
ddrmn389 remaindernear 12345  4.0001    ->  0.6914
ddrmn390 remaindernear 12345  4.9       ->  1.9
ddrmn391 remaindernear 12345  4.99      -> -0.26
ddrmn392 remaindernear 12345  4.999     ->  2.469
ddrmn393 remaindernear 12345  4.9999    ->  0.2469
ddrmn394 remaindernear 12345  5         ->  0
ddrmn395 remaindernear 12345  5.0001    -> -0.2469
ddrmn396 remaindernear 12345  5.001     -> -2.469
ddrmn397 remaindernear 12345  5.01      ->  0.36
ddrmn398 remaindernear 12345  5.1       -> -2.1

-- the nasty division-by-1 cases
ddrmn401 remaindernear   0.4         1   ->  0.4
ddrmn402 remaindernear   0.45        1   ->  0.45
ddrmn403 remaindernear   0.455       1   ->  0.455
ddrmn404 remaindernear   0.4555      1   ->  0.4555
ddrmn405 remaindernear   0.45555     1   ->  0.45555
ddrmn406 remaindernear   0.455555    1   ->  0.455555
ddrmn407 remaindernear   0.4555555   1   ->  0.4555555
ddrmn408 remaindernear   0.45555555  1   ->  0.45555555
ddrmn409 remaindernear   0.455555555 1   ->  0.455555555
-- with spill... [412 exercises sticktab loop]
ddrmn411 remaindernear   0.5         1   ->  0.5
ddrmn412 remaindernear   0.55        1   -> -0.45
ddrmn413 remaindernear   0.555       1   -> -0.445
ddrmn414 remaindernear   0.5555      1   -> -0.4445
ddrmn415 remaindernear   0.55555     1   -> -0.44445
ddrmn416 remaindernear   0.555555    1   -> -0.444445
ddrmn417 remaindernear   0.5555555   1   -> -0.4444445
ddrmn418 remaindernear   0.55555555  1   -> -0.44444445
ddrmn419 remaindernear   0.555555555 1   -> -0.444444445

-- folddowns
ddrmn421 remaindernear   1E+384       1  ->   NaN Division_impossible
ddrmn422 remaindernear   1E+384  1E+383  ->   0E+369 Clamped
ddrmn423 remaindernear   1E+384  2E+383  ->   0E+369 Clamped
ddrmn424 remaindernear   1E+384  3E+383  ->   1.00000000000000E+383 Clamped
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