cpython/Lib/test/decimaltestdata/divideint.decTest

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------------------------------------------------------------------------
-- divideint.decTest -- decimal integer division --
-- 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: 2.58
extended: 1
precision: 9
rounding: half_up
maxExponent: 384
minexponent: -383
dvix001 divideint 1 1 -> 1
dvix002 divideint 2 1 -> 2
dvix003 divideint 1 2 -> 0
dvix004 divideint 2 2 -> 1
dvix005 divideint 0 1 -> 0
dvix006 divideint 0 2 -> 0
dvix007 divideint 1 3 -> 0
dvix008 divideint 2 3 -> 0
dvix009 divideint 3 3 -> 1
dvix010 divideint 2.4 1 -> 2
dvix011 divideint 2.4 -1 -> -2
dvix012 divideint -2.4 1 -> -2
dvix013 divideint -2.4 -1 -> 2
dvix014 divideint 2.40 1 -> 2
dvix015 divideint 2.400 1 -> 2
dvix016 divideint 2.4 2 -> 1
dvix017 divideint 2.400 2 -> 1
dvix018 divideint 2. 2 -> 1
dvix019 divideint 20 20 -> 1
dvix020 divideint 187 187 -> 1
dvix021 divideint 5 2 -> 2
dvix022 divideint 5 2.0 -> 2
dvix023 divideint 5 2.000 -> 2
dvix024 divideint 5 0.200 -> 25
dvix025 divideint 5 0.200 -> 25
dvix030 divideint 1 2 -> 0
dvix031 divideint 1 4 -> 0
dvix032 divideint 1 8 -> 0
dvix033 divideint 1 16 -> 0
dvix034 divideint 1 32 -> 0
dvix035 divideint 1 64 -> 0
dvix040 divideint 1 -2 -> -0
dvix041 divideint 1 -4 -> -0
dvix042 divideint 1 -8 -> -0
dvix043 divideint 1 -16 -> -0
dvix044 divideint 1 -32 -> -0
dvix045 divideint 1 -64 -> -0
dvix050 divideint -1 2 -> -0
dvix051 divideint -1 4 -> -0
dvix052 divideint -1 8 -> -0
dvix053 divideint -1 16 -> -0
dvix054 divideint -1 32 -> -0
dvix055 divideint -1 64 -> -0
dvix060 divideint -1 -2 -> 0
dvix061 divideint -1 -4 -> 0
dvix062 divideint -1 -8 -> 0
dvix063 divideint -1 -16 -> 0
dvix064 divideint -1 -32 -> 0
dvix065 divideint -1 -64 -> 0
-- similar with powers of ten
dvix160 divideint 1 1 -> 1
dvix161 divideint 1 10 -> 0
dvix162 divideint 1 100 -> 0
dvix163 divideint 1 1000 -> 0
dvix164 divideint 1 10000 -> 0
dvix165 divideint 1 100000 -> 0
dvix166 divideint 1 1000000 -> 0
dvix167 divideint 1 10000000 -> 0
dvix168 divideint 1 100000000 -> 0
dvix170 divideint 1 -1 -> -1
dvix171 divideint 1 -10 -> -0
dvix172 divideint 1 -100 -> -0
dvix173 divideint 1 -1000 -> -0
dvix174 divideint 1 -10000 -> -0
dvix175 divideint 1 -100000 -> -0
dvix176 divideint 1 -1000000 -> -0
dvix177 divideint 1 -10000000 -> -0
dvix178 divideint 1 -100000000 -> -0
dvix180 divideint -1 1 -> -1
dvix181 divideint -1 10 -> -0
dvix182 divideint -1 100 -> -0
dvix183 divideint -1 1000 -> -0
dvix184 divideint -1 10000 -> -0
dvix185 divideint -1 100000 -> -0
dvix186 divideint -1 1000000 -> -0
dvix187 divideint -1 10000000 -> -0
dvix188 divideint -1 100000000 -> -0
dvix190 divideint -1 -1 -> 1
dvix191 divideint -1 -10 -> 0
dvix192 divideint -1 -100 -> 0
dvix193 divideint -1 -1000 -> 0
dvix194 divideint -1 -10000 -> 0
dvix195 divideint -1 -100000 -> 0
dvix196 divideint -1 -1000000 -> 0
dvix197 divideint -1 -10000000 -> 0
dvix198 divideint -1 -100000000 -> 0
-- some long operand cases here
dvix070 divideint 999999999 1 -> 999999999
dvix071 divideint 999999999.4 1 -> 999999999
dvix072 divideint 999999999.5 1 -> 999999999
dvix073 divideint 999999999.9 1 -> 999999999
dvix074 divideint 999999999.999 1 -> 999999999
precision: 6
dvix080 divideint 999999999 1 -> NaN Division_impossible
dvix081 divideint 99999999 1 -> NaN Division_impossible
dvix082 divideint 9999999 1 -> NaN Division_impossible
dvix083 divideint 999999 1 -> 999999
dvix084 divideint 99999 1 -> 99999
dvix085 divideint 9999 1 -> 9999
dvix086 divideint 999 1 -> 999
dvix087 divideint 99 1 -> 99
dvix088 divideint 9 1 -> 9
precision: 9
dvix090 divideint 0. 1 -> 0
dvix091 divideint .0 1 -> 0
dvix092 divideint 0.00 1 -> 0
dvix093 divideint 0.00E+9 1 -> 0
dvix094 divideint 0.0000E-50 1 -> 0
dvix100 divideint 1 1 -> 1
dvix101 divideint 1 2 -> 0
dvix102 divideint 1 3 -> 0
dvix103 divideint 1 4 -> 0
dvix104 divideint 1 5 -> 0
dvix105 divideint 1 6 -> 0
dvix106 divideint 1 7 -> 0
dvix107 divideint 1 8 -> 0
dvix108 divideint 1 9 -> 0
dvix109 divideint 1 10 -> 0
dvix110 divideint 1 1 -> 1
dvix111 divideint 2 1 -> 2
dvix112 divideint 3 1 -> 3
dvix113 divideint 4 1 -> 4
dvix114 divideint 5 1 -> 5
dvix115 divideint 6 1 -> 6
dvix116 divideint 7 1 -> 7
dvix117 divideint 8 1 -> 8
dvix118 divideint 9 1 -> 9
dvix119 divideint 10 1 -> 10
-- from DiagBigDecimal
dvix131 divideint 101.3 1 -> 101
dvix132 divideint 101.0 1 -> 101
dvix133 divideint 101.3 3 -> 33
dvix134 divideint 101.0 3 -> 33
dvix135 divideint 2.4 1 -> 2
dvix136 divideint 2.400 1 -> 2
dvix137 divideint 18 18 -> 1
dvix138 divideint 1120 1000 -> 1
dvix139 divideint 2.4 2 -> 1
dvix140 divideint 2.400 2 -> 1
dvix141 divideint 0.5 2.000 -> 0
dvix142 divideint 8.005 7 -> 1
dvix143 divideint 5 2 -> 2
dvix144 divideint 0 2 -> 0
dvix145 divideint 0.00 2 -> 0
-- Others
dvix150 divideint 12345 4.999 -> 2469
dvix151 divideint 12345 4.99 -> 2473
dvix152 divideint 12345 4.9 -> 2519
dvix153 divideint 12345 5 -> 2469
dvix154 divideint 12345 5.1 -> 2420
dvix155 divideint 12345 5.01 -> 2464
dvix156 divideint 12345 5.001 -> 2468
dvix157 divideint 101 7.6 -> 13
-- Various flavours of divideint by 0
maxexponent: 999999999
minexponent: -999999999
dvix201 divideint 0 0 -> NaN Division_undefined
dvix202 divideint 0.0E5 0 -> NaN Division_undefined
dvix203 divideint 0.000 0 -> NaN Division_undefined
dvix204 divideint 0.0001 0 -> Infinity Division_by_zero
dvix205 divideint 0.01 0 -> Infinity Division_by_zero
dvix206 divideint 0.1 0 -> Infinity Division_by_zero
dvix207 divideint 1 0 -> Infinity Division_by_zero
dvix208 divideint 1 0.0 -> Infinity Division_by_zero
dvix209 divideint 10 0.0 -> Infinity Division_by_zero
dvix210 divideint 1E+100 0.0 -> Infinity Division_by_zero
dvix211 divideint 1E+1000 0 -> Infinity Division_by_zero
dvix214 divideint -0.0001 0 -> -Infinity Division_by_zero
dvix215 divideint -0.01 0 -> -Infinity Division_by_zero
dvix216 divideint -0.1 0 -> -Infinity Division_by_zero
dvix217 divideint -1 0 -> -Infinity Division_by_zero
dvix218 divideint -1 0.0 -> -Infinity Division_by_zero
dvix219 divideint -10 0.0 -> -Infinity Division_by_zero
dvix220 divideint -1E+100 0.0 -> -Infinity Division_by_zero
dvix221 divideint -1E+1000 0 -> -Infinity Division_by_zero
-- test some cases that are close to exponent overflow
maxexponent: 999999999
minexponent: -999999999
dvix270 divideint 1 1e999999999 -> 0
dvix271 divideint 1 0.9e999999999 -> 0
dvix272 divideint 1 0.99e999999999 -> 0
dvix273 divideint 1 0.999999999e999999999 -> 0
dvix274 divideint 9e999999999 1 -> NaN Division_impossible
dvix275 divideint 9.9e999999999 1 -> NaN Division_impossible
dvix276 divideint 9.99e999999999 1 -> NaN Division_impossible
dvix277 divideint 9.99999999e999999999 1 -> NaN Division_impossible
dvix280 divideint 0.1 9e-999999999 -> NaN Division_impossible
dvix281 divideint 0.1 99e-999999999 -> NaN Division_impossible
dvix282 divideint 0.1 999e-999999999 -> NaN Division_impossible
dvix283 divideint 0.1 9e-999999998 -> NaN Division_impossible
dvix284 divideint 0.1 99e-999999998 -> NaN Division_impossible
dvix285 divideint 0.1 999e-999999998 -> NaN Division_impossible
dvix286 divideint 0.1 999e-999999997 -> NaN Division_impossible
dvix287 divideint 0.1 9999e-999999997 -> NaN Division_impossible
dvix288 divideint 0.1 99999e-999999997 -> NaN Division_impossible
-- GD edge cases: lhs smaller than rhs but more digits
dvix301 divideint 0.9 2 -> 0
dvix302 divideint 0.9 2.0 -> 0
dvix303 divideint 0.9 2.1 -> 0
dvix304 divideint 0.9 2.00 -> 0
dvix305 divideint 0.9 2.01 -> 0
dvix306 divideint 0.12 1 -> 0
dvix307 divideint 0.12 1.0 -> 0
dvix308 divideint 0.12 1.00 -> 0
dvix309 divideint 0.12 1.0 -> 0
dvix310 divideint 0.12 1.00 -> 0
dvix311 divideint 0.12 2 -> 0
dvix312 divideint 0.12 2.0 -> 0
dvix313 divideint 0.12 2.1 -> 0
dvix314 divideint 0.12 2.00 -> 0
dvix315 divideint 0.12 2.01 -> 0
-- overflow and underflow tests [from divide]
maxexponent: 999999999
minexponent: -999999999
dvix330 divideint +1.23456789012345E-0 9E+999999999 -> 0
dvix331 divideint 9E+999999999 +0.23456789012345E-0 -> NaN Division_impossible
dvix332 divideint +0.100 9E+999999999 -> 0
dvix333 divideint 9E-999999999 +9.100 -> 0
dvix335 divideint -1.23456789012345E-0 9E+999999999 -> -0
dvix336 divideint 9E+999999999 -0.83456789012345E-0 -> NaN Division_impossible
dvix337 divideint -0.100 9E+999999999 -> -0
dvix338 divideint 9E-999999999 -9.100 -> -0
-- long operand checks
maxexponent: 999
minexponent: -999
precision: 9
dvix401 divideint 12345678000 100 -> 123456780
dvix402 divideint 1 12345678000 -> 0
dvix403 divideint 1234567800 10 -> 123456780
dvix404 divideint 1 1234567800 -> 0
dvix405 divideint 1234567890 10 -> 123456789
dvix406 divideint 1 1234567890 -> 0
dvix407 divideint 1234567891 10 -> 123456789
dvix408 divideint 1 1234567891 -> 0
dvix409 divideint 12345678901 100 -> 123456789
dvix410 divideint 1 12345678901 -> 0
dvix411 divideint 1234567896 10 -> 123456789
dvix412 divideint 1 1234567896 -> 0
dvix413 divideint 12345678948 100 -> 123456789
dvix414 divideint 12345678949 100 -> 123456789
dvix415 divideint 12345678950 100 -> 123456789
dvix416 divideint 12345678951 100 -> 123456789
dvix417 divideint 12345678999 100 -> 123456789
precision: 15
dvix441 divideint 12345678000 1 -> 12345678000
dvix442 divideint 1 12345678000 -> 0
dvix443 divideint 1234567800 1 -> 1234567800
dvix444 divideint 1 1234567800 -> 0
dvix445 divideint 1234567890 1 -> 1234567890
dvix446 divideint 1 1234567890 -> 0
dvix447 divideint 1234567891 1 -> 1234567891
dvix448 divideint 1 1234567891 -> 0
dvix449 divideint 12345678901 1 -> 12345678901
dvix450 divideint 1 12345678901 -> 0
dvix451 divideint 1234567896 1 -> 1234567896
dvix452 divideint 1 1234567896 -> 0
precision: 9
rounding: half_up
maxExponent: 999
minexponent: -999
-- more zeros, etc.
dvix531 divideint 5.00 1E-3 -> 5000
dvix532 divideint 00.00 0.000 -> NaN Division_undefined
dvix533 divideint 00.00 0E-3 -> NaN Division_undefined
dvix534 divideint 0 -0 -> NaN Division_undefined
dvix535 divideint -0 0 -> NaN Division_undefined
dvix536 divideint -0 -0 -> NaN Division_undefined
dvix541 divideint 0 -1 -> -0
dvix542 divideint -0 -1 -> 0
dvix543 divideint 0 1 -> 0
dvix544 divideint -0 1 -> -0
dvix545 divideint -1 0 -> -Infinity Division_by_zero
dvix546 divideint -1 -0 -> Infinity Division_by_zero
dvix547 divideint 1 0 -> Infinity Division_by_zero
dvix548 divideint 1 -0 -> -Infinity Division_by_zero
dvix551 divideint 0.0 -1 -> -0
dvix552 divideint -0.0 -1 -> 0
dvix553 divideint 0.0 1 -> 0
dvix554 divideint -0.0 1 -> -0
dvix555 divideint -1.0 0 -> -Infinity Division_by_zero
dvix556 divideint -1.0 -0 -> Infinity Division_by_zero
dvix557 divideint 1.0 0 -> Infinity Division_by_zero
dvix558 divideint 1.0 -0 -> -Infinity Division_by_zero
dvix561 divideint 0 -1.0 -> -0
dvix562 divideint -0 -1.0 -> 0
dvix563 divideint 0 1.0 -> 0
dvix564 divideint -0 1.0 -> -0
dvix565 divideint -1 0.0 -> -Infinity Division_by_zero
dvix566 divideint -1 -0.0 -> Infinity Division_by_zero
dvix567 divideint 1 0.0 -> Infinity Division_by_zero
dvix568 divideint 1 -0.0 -> -Infinity Division_by_zero
dvix571 divideint 0.0 -1.0 -> -0
dvix572 divideint -0.0 -1.0 -> 0
dvix573 divideint 0.0 1.0 -> 0
dvix574 divideint -0.0 1.0 -> -0
dvix575 divideint -1.0 0.0 -> -Infinity Division_by_zero
dvix576 divideint -1.0 -0.0 -> Infinity Division_by_zero
dvix577 divideint 1.0 0.0 -> Infinity Division_by_zero
dvix578 divideint 1.0 -0.0 -> -Infinity Division_by_zero
-- Specials
dvix580 divideint Inf -Inf -> NaN Invalid_operation
dvix581 divideint Inf -1000 -> -Infinity
dvix582 divideint Inf -1 -> -Infinity
dvix583 divideint Inf -0 -> -Infinity
dvix584 divideint Inf 0 -> Infinity
dvix585 divideint Inf 1 -> Infinity
dvix586 divideint Inf 1000 -> Infinity
dvix587 divideint Inf Inf -> NaN Invalid_operation
dvix588 divideint -1000 Inf -> -0
dvix589 divideint -Inf Inf -> NaN Invalid_operation
dvix590 divideint -1 Inf -> -0
dvix591 divideint -0 Inf -> -0
dvix592 divideint 0 Inf -> 0
dvix593 divideint 1 Inf -> 0
dvix594 divideint 1000 Inf -> 0
dvix595 divideint Inf Inf -> NaN Invalid_operation
dvix600 divideint -Inf -Inf -> NaN Invalid_operation
dvix601 divideint -Inf -1000 -> Infinity
dvix602 divideint -Inf -1 -> Infinity
dvix603 divideint -Inf -0 -> Infinity
dvix604 divideint -Inf 0 -> -Infinity
dvix605 divideint -Inf 1 -> -Infinity
dvix606 divideint -Inf 1000 -> -Infinity
dvix607 divideint -Inf Inf -> NaN Invalid_operation
dvix608 divideint -1000 Inf -> -0
dvix609 divideint -Inf -Inf -> NaN Invalid_operation
dvix610 divideint -1 -Inf -> 0
dvix611 divideint -0 -Inf -> 0
dvix612 divideint 0 -Inf -> -0
dvix613 divideint 1 -Inf -> -0
dvix614 divideint 1000 -Inf -> -0
dvix615 divideint Inf -Inf -> NaN Invalid_operation
dvix621 divideint NaN -Inf -> NaN
dvix622 divideint NaN -1000 -> NaN
dvix623 divideint NaN -1 -> NaN
dvix624 divideint NaN -0 -> NaN
dvix625 divideint NaN 0 -> NaN
dvix626 divideint NaN 1 -> NaN
dvix627 divideint NaN 1000 -> NaN
dvix628 divideint NaN Inf -> NaN
dvix629 divideint NaN NaN -> NaN
dvix630 divideint -Inf NaN -> NaN
dvix631 divideint -1000 NaN -> NaN
dvix632 divideint -1 NaN -> NaN
dvix633 divideint -0 NaN -> NaN
dvix634 divideint 0 NaN -> NaN
dvix635 divideint 1 NaN -> NaN
dvix636 divideint 1000 NaN -> NaN
dvix637 divideint Inf NaN -> NaN
dvix641 divideint sNaN -Inf -> NaN Invalid_operation
dvix642 divideint sNaN -1000 -> NaN Invalid_operation
dvix643 divideint sNaN -1 -> NaN Invalid_operation
dvix644 divideint sNaN -0 -> NaN Invalid_operation
dvix645 divideint sNaN 0 -> NaN Invalid_operation
dvix646 divideint sNaN 1 -> NaN Invalid_operation
dvix647 divideint sNaN 1000 -> NaN Invalid_operation
dvix648 divideint sNaN NaN -> NaN Invalid_operation
dvix649 divideint sNaN sNaN -> NaN Invalid_operation
dvix650 divideint NaN sNaN -> NaN Invalid_operation
dvix651 divideint -Inf sNaN -> NaN Invalid_operation
dvix652 divideint -1000 sNaN -> NaN Invalid_operation
dvix653 divideint -1 sNaN -> NaN Invalid_operation
dvix654 divideint -0 sNaN -> NaN Invalid_operation
dvix655 divideint 0 sNaN -> NaN Invalid_operation
dvix656 divideint 1 sNaN -> NaN Invalid_operation
dvix657 divideint 1000 sNaN -> NaN Invalid_operation
dvix658 divideint Inf sNaN -> NaN Invalid_operation
dvix659 divideint NaN sNaN -> NaN Invalid_operation
-- propagating NaNs
dvix661 divideint NaN9 -Inf -> NaN9
dvix662 divideint NaN8 1000 -> NaN8
dvix663 divideint NaN7 Inf -> NaN7
dvix664 divideint -NaN6 NaN5 -> -NaN6
dvix665 divideint -Inf NaN4 -> NaN4
dvix666 divideint -1000 NaN3 -> NaN3
dvix667 divideint Inf -NaN2 -> -NaN2
dvix671 divideint -sNaN99 -Inf -> -NaN99 Invalid_operation
dvix672 divideint sNaN98 -1 -> NaN98 Invalid_operation
dvix673 divideint sNaN97 NaN -> NaN97 Invalid_operation
dvix674 divideint sNaN96 sNaN94 -> NaN96 Invalid_operation
dvix675 divideint NaN95 sNaN93 -> NaN93 Invalid_operation
dvix676 divideint -Inf sNaN92 -> NaN92 Invalid_operation
dvix677 divideint 0 sNaN91 -> NaN91 Invalid_operation
dvix678 divideint Inf -sNaN90 -> -NaN90 Invalid_operation
dvix679 divideint NaN sNaN89 -> NaN89 Invalid_operation
-- some long operand cases again
precision: 8
dvix710 divideint 100000001 1 -> NaN Division_impossible
dvix711 divideint 100000000.4 1 -> NaN Division_impossible
dvix712 divideint 100000000.5 1 -> NaN Division_impossible
dvix713 divideint 100000000.9 1 -> NaN Division_impossible
dvix714 divideint 100000000.999 1 -> NaN Division_impossible
precision: 6
dvix720 divideint 100000000 1 -> NaN Division_impossible
dvix721 divideint 10000000 1 -> NaN Division_impossible
dvix722 divideint 1000000 1 -> NaN Division_impossible
dvix723 divideint 100000 1 -> 100000
dvix724 divideint 10000 1 -> 10000
dvix725 divideint 1000 1 -> 1000
dvix726 divideint 100 1 -> 100
dvix727 divideint 10 1 -> 10
dvix728 divideint 1 1 -> 1
dvix729 divideint 1 10 -> 0
precision: 9
maxexponent: 999999999
minexponent: -999999999
dvix732 divideint 1 0.99e999999999 -> 0
dvix733 divideint 1 0.999999999e999999999 -> 0
dvix734 divideint 9e999999999 1 -> NaN Division_impossible
dvix735 divideint 9.9e999999999 1 -> NaN Division_impossible
dvix736 divideint 9.99e999999999 1 -> NaN Division_impossible
dvix737 divideint 9.99999999e999999999 1 -> NaN Division_impossible
dvix740 divideint 0.1 9e-999999999 -> NaN Division_impossible
dvix741 divideint 0.1 99e-999999999 -> NaN Division_impossible
dvix742 divideint 0.1 999e-999999999 -> NaN Division_impossible
dvix743 divideint 0.1 9e-999999998 -> NaN Division_impossible
dvix744 divideint 0.1 99e-999999998 -> NaN Division_impossible
dvix745 divideint 0.1 999e-999999998 -> NaN Division_impossible
dvix746 divideint 0.1 999e-999999997 -> NaN Division_impossible
dvix747 divideint 0.1 9999e-999999997 -> NaN Division_impossible
dvix748 divideint 0.1 99999e-999999997 -> NaN Division_impossible
-- Null tests
dvix900 divideint 10 # -> NaN Invalid_operation
dvix901 divideint # 10 -> NaN Invalid_operation