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Version: 3.8.5-1+stretch1 

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

------------------------------------------------------------------------
-- ddQuantize.decTest -- decDouble quantize operation                 --
-- 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

-- Most of the tests here assume a "regular pattern", where the
-- sign and coefficient are +1.
-- 2004.03.15 Underflow for quantize is suppressed
-- 2005.06.08 More extensive tests for 'does not fit'
precision:   16
maxExponent: 384
minExponent: -383
extended:    1
clamp:       1
rounding:    half_even

-- sanity checks
ddqua001 quantize 0       1e0   -> 0
ddqua002 quantize 1       1e0   -> 1
ddqua003 quantize 0.1    1e+2   -> 0E+2 Inexact Rounded
ddqua005 quantize 0.1    1e+1   -> 0E+1 Inexact Rounded
ddqua006 quantize 0.1     1e0   -> 0 Inexact Rounded
ddqua007 quantize 0.1    1e-1   -> 0.1
ddqua008 quantize 0.1    1e-2   -> 0.10
ddqua009 quantize 0.1    1e-3   -> 0.100
ddqua010 quantize 0.9    1e+2   -> 0E+2 Inexact Rounded
ddqua011 quantize 0.9    1e+1   -> 0E+1 Inexact Rounded
ddqua012 quantize 0.9    1e+0   -> 1 Inexact Rounded
ddqua013 quantize 0.9    1e-1   -> 0.9
ddqua014 quantize 0.9    1e-2   -> 0.90
ddqua015 quantize 0.9    1e-3   -> 0.900
-- negatives
ddqua021 quantize -0      1e0   -> -0
ddqua022 quantize -1      1e0   -> -1
ddqua023 quantize -0.1   1e+2   -> -0E+2 Inexact Rounded
ddqua025 quantize -0.1   1e+1   -> -0E+1 Inexact Rounded
ddqua026 quantize -0.1    1e0   -> -0 Inexact Rounded
ddqua027 quantize -0.1   1e-1   -> -0.1
ddqua028 quantize -0.1   1e-2   -> -0.10
ddqua029 quantize -0.1   1e-3   -> -0.100
ddqua030 quantize -0.9   1e+2   -> -0E+2 Inexact Rounded
ddqua031 quantize -0.9   1e+1   -> -0E+1 Inexact Rounded
ddqua032 quantize -0.9   1e+0   -> -1 Inexact Rounded
ddqua033 quantize -0.9   1e-1   -> -0.9
ddqua034 quantize -0.9   1e-2   -> -0.90
ddqua035 quantize -0.9   1e-3   -> -0.900
ddqua036 quantize -0.5   1e+2   -> -0E+2 Inexact Rounded
ddqua037 quantize -0.5   1e+1   -> -0E+1 Inexact Rounded
ddqua038 quantize -0.5   1e+0   -> -0 Inexact Rounded
ddqua039 quantize -0.5   1e-1   -> -0.5
ddqua040 quantize -0.5   1e-2   -> -0.50
ddqua041 quantize -0.5   1e-3   -> -0.500
ddqua042 quantize -0.9   1e+2   -> -0E+2 Inexact Rounded
ddqua043 quantize -0.9   1e+1   -> -0E+1 Inexact Rounded
ddqua044 quantize -0.9   1e+0   -> -1 Inexact Rounded
ddqua045 quantize -0.9   1e-1   -> -0.9
ddqua046 quantize -0.9   1e-2   -> -0.90
ddqua047 quantize -0.9   1e-3   -> -0.900

-- examples from Specification
ddqua060 quantize 2.17   0.001  -> 2.170
ddqua061 quantize 2.17   0.01   -> 2.17
ddqua062 quantize 2.17   0.1    -> 2.2 Inexact Rounded
ddqua063 quantize 2.17   1e+0   -> 2 Inexact Rounded
ddqua064 quantize 2.17   1e+1   -> 0E+1 Inexact Rounded
ddqua065 quantize -Inf    Inf   -> -Infinity
ddqua066 quantize 2       Inf   -> NaN Invalid_operation
ddqua067 quantize -0.1    1     -> -0 Inexact Rounded
ddqua068 quantize -0      1e+5     -> -0E+5
ddqua069 quantize +123456789012345.6 1e-2 -> NaN Invalid_operation
ddqua070 quantize -987654335236450.6 1e-2 -> NaN Invalid_operation
ddqua071 quantize 217    1e-1   -> 217.0
ddqua072 quantize 217    1e+0   -> 217
ddqua073 quantize 217    1e+1   -> 2.2E+2 Inexact Rounded
ddqua074 quantize 217    1e+2   -> 2E+2 Inexact Rounded

-- general tests ..
ddqua089 quantize 12     1e+4   -> 0E+4 Inexact Rounded
ddqua090 quantize 12     1e+3   -> 0E+3 Inexact Rounded
ddqua091 quantize 12     1e+2   -> 0E+2 Inexact Rounded
ddqua092 quantize 12     1e+1   -> 1E+1 Inexact Rounded
ddqua093 quantize 1.2345 1e-2   -> 1.23 Inexact Rounded
ddqua094 quantize 1.2355 1e-2   -> 1.24 Inexact Rounded
ddqua095 quantize 1.2345 1e-6   -> 1.234500
ddqua096 quantize 9.9999 1e-2   -> 10.00 Inexact Rounded
ddqua097 quantize 0.0001 1e-2   -> 0.00 Inexact Rounded
ddqua098 quantize 0.001  1e-2   -> 0.00 Inexact Rounded
ddqua099 quantize 0.009  1e-2   -> 0.01 Inexact Rounded
ddqua100 quantize 92     1e+2   -> 1E+2 Inexact Rounded

ddqua101 quantize -1      1e0   ->  -1
ddqua102 quantize -1     1e-1   ->  -1.0
ddqua103 quantize -1     1e-2   ->  -1.00
ddqua104 quantize  0      1e0   ->  0
ddqua105 quantize  0     1e-1   ->  0.0
ddqua106 quantize  0     1e-2   ->  0.00
ddqua107 quantize  0.00   1e0   ->  0
ddqua108 quantize  0     1e+1   ->  0E+1
ddqua109 quantize  0     1e+2   ->  0E+2
ddqua110 quantize +1      1e0   ->  1
ddqua111 quantize +1     1e-1   ->  1.0
ddqua112 quantize +1     1e-2   ->  1.00

ddqua120 quantize   1.04  1e-3 ->  1.040
ddqua121 quantize   1.04  1e-2 ->  1.04
ddqua122 quantize   1.04  1e-1 ->  1.0 Inexact Rounded
ddqua123 quantize   1.04   1e0 ->  1 Inexact Rounded
ddqua124 quantize   1.05  1e-3 ->  1.050
ddqua125 quantize   1.05  1e-2 ->  1.05
ddqua126 quantize   1.05  1e-1 ->  1.0 Inexact Rounded
ddqua131 quantize   1.05   1e0 ->  1 Inexact Rounded
ddqua132 quantize   1.06  1e-3 ->  1.060
ddqua133 quantize   1.06  1e-2 ->  1.06
ddqua134 quantize   1.06  1e-1 ->  1.1 Inexact Rounded
ddqua135 quantize   1.06   1e0 ->  1 Inexact Rounded

ddqua140 quantize   -10    1e-2  ->  -10.00
ddqua141 quantize   +1     1e-2  ->  1.00
ddqua142 quantize   +10    1e-2  ->  10.00
ddqua143 quantize   1E+17  1e-2  ->  NaN Invalid_operation
ddqua144 quantize   1E-17  1e-2  ->  0.00 Inexact Rounded
ddqua145 quantize   1E-3   1e-2  ->  0.00 Inexact Rounded
ddqua146 quantize   1E-2   1e-2  ->  0.01
ddqua147 quantize   1E-1   1e-2  ->  0.10
ddqua148 quantize   0E-17  1e-2  ->  0.00

ddqua150 quantize   1.0600 1e-5 ->  1.06000
ddqua151 quantize   1.0600 1e-4 ->  1.0600
ddqua152 quantize   1.0600 1e-3 ->  1.060 Rounded
ddqua153 quantize   1.0600 1e-2 ->  1.06 Rounded
ddqua154 quantize   1.0600 1e-1 ->  1.1 Inexact Rounded
ddqua155 quantize   1.0600  1e0 ->  1 Inexact Rounded

-- a couple where rounding was different in base tests
rounding:    half_up
ddqua157 quantize -0.5   1e+0   -> -1 Inexact Rounded
ddqua158 quantize   1.05  1e-1 ->  1.1 Inexact Rounded
ddqua159 quantize   1.06   1e0 ->  1 Inexact Rounded
rounding:    half_even

-- base tests with non-1 coefficients
ddqua161 quantize 0      -9e0   -> 0
ddqua162 quantize 1      -7e0   -> 1
ddqua163 quantize 0.1   -1e+2   -> 0E+2 Inexact Rounded
ddqua165 quantize 0.1    0e+1   -> 0E+1 Inexact Rounded
ddqua166 quantize 0.1     2e0   -> 0 Inexact Rounded
ddqua167 quantize 0.1    3e-1   -> 0.1
ddqua168 quantize 0.1   44e-2   -> 0.10
ddqua169 quantize 0.1  555e-3   -> 0.100
ddqua170 quantize 0.9 6666e+2   -> 0E+2 Inexact Rounded
ddqua171 quantize 0.9 -777e+1   -> 0E+1 Inexact Rounded
ddqua172 quantize 0.9  -88e+0   -> 1 Inexact Rounded
ddqua173 quantize 0.9   -9e-1   -> 0.9
ddqua174 quantize 0.9    0e-2   -> 0.90
ddqua175 quantize 0.9  1.1e-3   -> 0.9000
-- negatives
ddqua181 quantize -0    1.1e0   -> -0.0
ddqua182 quantize -1     -1e0   -> -1
ddqua183 quantize -0.1  11e+2   -> -0E+2 Inexact Rounded
ddqua185 quantize -0.1 111e+1   -> -0E+1 Inexact Rounded
ddqua186 quantize -0.1   71e0   -> -0 Inexact Rounded
ddqua187 quantize -0.1 -91e-1   -> -0.1
ddqua188 quantize -0.1 -.1e-2   -> -0.100
ddqua189 quantize -0.1  -1e-3   -> -0.100
ddqua190 quantize -0.9   0e+2   -> -0E+2 Inexact Rounded
ddqua191 quantize -0.9  -0e+1   -> -0E+1 Inexact Rounded
ddqua192 quantize -0.9 -10e+0   -> -1 Inexact Rounded
ddqua193 quantize -0.9 100e-1   -> -0.9
ddqua194 quantize -0.9 999e-2   -> -0.90

-- +ve exponents ..
ddqua201 quantize   -1   1e+0 ->  -1
ddqua202 quantize   -1   1e+1 ->  -0E+1 Inexact Rounded
ddqua203 quantize   -1   1e+2 ->  -0E+2 Inexact Rounded
ddqua204 quantize    0   1e+0 ->  0
ddqua205 quantize    0   1e+1 ->  0E+1
ddqua206 quantize    0   1e+2 ->  0E+2
ddqua207 quantize   +1   1e+0 ->  1
ddqua208 quantize   +1   1e+1 ->  0E+1 Inexact Rounded
ddqua209 quantize   +1   1e+2 ->  0E+2 Inexact Rounded

ddqua220 quantize   1.04 1e+3 ->  0E+3 Inexact Rounded
ddqua221 quantize   1.04 1e+2 ->  0E+2 Inexact Rounded
ddqua222 quantize   1.04 1e+1 ->  0E+1 Inexact Rounded
ddqua223 quantize   1.04 1e+0 ->  1 Inexact Rounded
ddqua224 quantize   1.05 1e+3 ->  0E+3 Inexact Rounded
ddqua225 quantize   1.05 1e+2 ->  0E+2 Inexact Rounded
ddqua226 quantize   1.05 1e+1 ->  0E+1 Inexact Rounded
ddqua227 quantize   1.05 1e+0 ->  1 Inexact Rounded
ddqua228 quantize   1.05 1e+3 ->  0E+3 Inexact Rounded
ddqua229 quantize   1.05 1e+2 ->  0E+2 Inexact Rounded
ddqua230 quantize   1.05 1e+1 ->  0E+1 Inexact Rounded
ddqua231 quantize   1.05 1e+0 ->  1 Inexact Rounded
ddqua232 quantize   1.06 1e+3 ->  0E+3 Inexact Rounded
ddqua233 quantize   1.06 1e+2 ->  0E+2 Inexact Rounded
ddqua234 quantize   1.06 1e+1 ->  0E+1 Inexact Rounded
ddqua235 quantize   1.06 1e+0 ->  1 Inexact Rounded

ddqua240 quantize   -10   1e+1  ->  -1E+1 Rounded
ddqua241 quantize   +1    1e+1  ->  0E+1 Inexact Rounded
ddqua242 quantize   +10   1e+1  ->  1E+1 Rounded
ddqua243 quantize   1E+1  1e+1  ->  1E+1          -- underneath this is E+1
ddqua244 quantize   1E+2  1e+1  ->  1.0E+2        -- underneath this is E+1
ddqua245 quantize   1E+3  1e+1  ->  1.00E+3       -- underneath this is E+1
ddqua246 quantize   1E+4  1e+1  ->  1.000E+4      -- underneath this is E+1
ddqua247 quantize   1E+5  1e+1  ->  1.0000E+5     -- underneath this is E+1
ddqua248 quantize   1E+6  1e+1  ->  1.00000E+6    -- underneath this is E+1
ddqua249 quantize   1E+7  1e+1  ->  1.000000E+7   -- underneath this is E+1
ddqua250 quantize   1E+8  1e+1  ->  1.0000000E+8  -- underneath this is E+1
ddqua251 quantize   1E+9  1e+1  ->  1.00000000E+9 -- underneath this is E+1
-- next one tries to add 9 zeros
ddqua252 quantize   1E+17 1e+1  ->  NaN Invalid_operation
ddqua253 quantize   1E-17 1e+1  ->  0E+1 Inexact Rounded
ddqua254 quantize   1E-2  1e+1  ->  0E+1 Inexact Rounded
ddqua255 quantize   0E-17 1e+1  ->  0E+1
ddqua256 quantize  -0E-17 1e+1  -> -0E+1
ddqua257 quantize  -0E-1  1e+1  -> -0E+1
ddqua258 quantize  -0     1e+1  -> -0E+1
ddqua259 quantize  -0E+1  1e+1  -> -0E+1

ddqua260 quantize   -10   1e+2  ->  -0E+2 Inexact Rounded
ddqua261 quantize   +1    1e+2  ->  0E+2 Inexact Rounded
ddqua262 quantize   +10   1e+2  ->  0E+2 Inexact Rounded
ddqua263 quantize   1E+1  1e+2  ->  0E+2 Inexact Rounded
ddqua264 quantize   1E+2  1e+2  ->  1E+2
ddqua265 quantize   1E+3  1e+2  ->  1.0E+3
ddqua266 quantize   1E+4  1e+2  ->  1.00E+4
ddqua267 quantize   1E+5  1e+2  ->  1.000E+5
ddqua268 quantize   1E+6  1e+2  ->  1.0000E+6
ddqua269 quantize   1E+7  1e+2  ->  1.00000E+7
ddqua270 quantize   1E+8  1e+2  ->  1.000000E+8
ddqua271 quantize   1E+9  1e+2  ->  1.0000000E+9
ddqua272 quantize   1E+10 1e+2  ->  1.00000000E+10
ddqua273 quantize   1E-10 1e+2  ->  0E+2 Inexact Rounded
ddqua274 quantize   1E-2  1e+2  ->  0E+2 Inexact Rounded
ddqua275 quantize   0E-10 1e+2  ->  0E+2

ddqua280 quantize   -10   1e+3  ->  -0E+3 Inexact Rounded
ddqua281 quantize   +1    1e+3  ->  0E+3 Inexact Rounded
ddqua282 quantize   +10   1e+3  ->  0E+3 Inexact Rounded
ddqua283 quantize   1E+1  1e+3  ->  0E+3 Inexact Rounded
ddqua284 quantize   1E+2  1e+3  ->  0E+3 Inexact Rounded
ddqua285 quantize   1E+3  1e+3  ->  1E+3
ddqua286 quantize   1E+4  1e+3  ->  1.0E+4
ddqua287 quantize   1E+5  1e+3  ->  1.00E+5
ddqua288 quantize   1E+6  1e+3  ->  1.000E+6
ddqua289 quantize   1E+7  1e+3  ->  1.0000E+7
ddqua290 quantize   1E+8  1e+3  ->  1.00000E+8
ddqua291 quantize   1E+9  1e+3  ->  1.000000E+9
ddqua292 quantize   1E+10 1e+3  ->  1.0000000E+10
ddqua293 quantize   1E-10 1e+3  ->  0E+3 Inexact Rounded
ddqua294 quantize   1E-2  1e+3  ->  0E+3 Inexact Rounded
ddqua295 quantize   0E-10 1e+3  ->  0E+3

-- round up from below [sign wrong in JIT compiler once]
ddqua300 quantize   0.0078 1e-5 ->  0.00780
ddqua301 quantize   0.0078 1e-4 ->  0.0078
ddqua302 quantize   0.0078 1e-3 ->  0.008 Inexact Rounded
ddqua303 quantize   0.0078 1e-2 ->  0.01 Inexact Rounded
ddqua304 quantize   0.0078 1e-1 ->  0.0 Inexact Rounded
ddqua305 quantize   0.0078  1e0 ->  0 Inexact Rounded
ddqua306 quantize   0.0078 1e+1 ->  0E+1 Inexact Rounded
ddqua307 quantize   0.0078 1e+2 ->  0E+2 Inexact Rounded

ddqua310 quantize  -0.0078 1e-5 -> -0.00780
ddqua311 quantize  -0.0078 1e-4 -> -0.0078
ddqua312 quantize  -0.0078 1e-3 -> -0.008 Inexact Rounded
ddqua313 quantize  -0.0078 1e-2 -> -0.01 Inexact Rounded
ddqua314 quantize  -0.0078 1e-1 -> -0.0 Inexact Rounded
ddqua315 quantize  -0.0078  1e0 -> -0 Inexact Rounded
ddqua316 quantize  -0.0078 1e+1 -> -0E+1 Inexact Rounded
ddqua317 quantize  -0.0078 1e+2 -> -0E+2 Inexact Rounded

ddqua320 quantize   0.078 1e-5 ->  0.07800
ddqua321 quantize   0.078 1e-4 ->  0.0780
ddqua322 quantize   0.078 1e-3 ->  0.078
ddqua323 quantize   0.078 1e-2 ->  0.08 Inexact Rounded
ddqua324 quantize   0.078 1e-1 ->  0.1 Inexact Rounded
ddqua325 quantize   0.078  1e0 ->  0 Inexact Rounded
ddqua326 quantize   0.078 1e+1 ->  0E+1 Inexact Rounded
ddqua327 quantize   0.078 1e+2 ->  0E+2 Inexact Rounded

ddqua330 quantize  -0.078 1e-5 -> -0.07800
ddqua331 quantize  -0.078 1e-4 -> -0.0780
ddqua332 quantize  -0.078 1e-3 -> -0.078
ddqua333 quantize  -0.078 1e-2 -> -0.08 Inexact Rounded
ddqua334 quantize  -0.078 1e-1 -> -0.1 Inexact Rounded
ddqua335 quantize  -0.078  1e0 -> -0 Inexact Rounded
ddqua336 quantize  -0.078 1e+1 -> -0E+1 Inexact Rounded
ddqua337 quantize  -0.078 1e+2 -> -0E+2 Inexact Rounded

ddqua340 quantize   0.78 1e-5 ->  0.78000
ddqua341 quantize   0.78 1e-4 ->  0.7800
ddqua342 quantize   0.78 1e-3 ->  0.780
ddqua343 quantize   0.78 1e-2 ->  0.78
ddqua344 quantize   0.78 1e-1 ->  0.8 Inexact Rounded
ddqua345 quantize   0.78  1e0 ->  1 Inexact Rounded
ddqua346 quantize   0.78 1e+1 ->  0E+1 Inexact Rounded
ddqua347 quantize   0.78 1e+2 ->  0E+2 Inexact Rounded

ddqua350 quantize  -0.78 1e-5 -> -0.78000
ddqua351 quantize  -0.78 1e-4 -> -0.7800
ddqua352 quantize  -0.78 1e-3 -> -0.780
ddqua353 quantize  -0.78 1e-2 -> -0.78
ddqua354 quantize  -0.78 1e-1 -> -0.8 Inexact Rounded
ddqua355 quantize  -0.78  1e0 -> -1 Inexact Rounded
ddqua356 quantize  -0.78 1e+1 -> -0E+1 Inexact Rounded
ddqua357 quantize  -0.78 1e+2 -> -0E+2 Inexact Rounded

ddqua360 quantize   7.8 1e-5 ->  7.80000
ddqua361 quantize   7.8 1e-4 ->  7.8000
ddqua362 quantize   7.8 1e-3 ->  7.800
ddqua363 quantize   7.8 1e-2 ->  7.80
ddqua364 quantize   7.8 1e-1 ->  7.8
ddqua365 quantize   7.8  1e0 ->  8 Inexact Rounded
ddqua366 quantize   7.8 1e+1 ->  1E+1 Inexact Rounded
ddqua367 quantize   7.8 1e+2 ->  0E+2 Inexact Rounded
ddqua368 quantize   7.8 1e+3 ->  0E+3 Inexact Rounded

ddqua370 quantize  -7.8 1e-5 -> -7.80000
ddqua371 quantize  -7.8 1e-4 -> -7.8000
ddqua372 quantize  -7.8 1e-3 -> -7.800
ddqua373 quantize  -7.8 1e-2 -> -7.80
ddqua374 quantize  -7.8 1e-1 -> -7.8
ddqua375 quantize  -7.8  1e0 -> -8 Inexact Rounded
ddqua376 quantize  -7.8 1e+1 -> -1E+1 Inexact Rounded
ddqua377 quantize  -7.8 1e+2 -> -0E+2 Inexact Rounded
ddqua378 quantize  -7.8 1e+3 -> -0E+3 Inexact Rounded

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