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cpython/Lib/test/decimaltestdata/ddDivideInt.decTest

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------------------------------------------------------------------------
-- ddDivideInt.decTest -- decDouble integer division --
-- Copyright (c) IBM Corporation, 1981, 2007. 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: 2.57
precision: 16
maxExponent: 384
minExponent: -383
extended: 1
clamp: 1
rounding: half_even
dddvi001 divideint 1 1 -> 1
dddvi002 divideint 2 1 -> 2
dddvi003 divideint 1 2 -> 0
dddvi004 divideint 2 2 -> 1
dddvi005 divideint 0 1 -> 0
dddvi006 divideint 0 2 -> 0
dddvi007 divideint 1 3 -> 0
dddvi008 divideint 2 3 -> 0
dddvi009 divideint 3 3 -> 1
dddvi010 divideint 2.4 1 -> 2
dddvi011 divideint 2.4 -1 -> -2
dddvi012 divideint -2.4 1 -> -2
dddvi013 divideint -2.4 -1 -> 2
dddvi014 divideint 2.40 1 -> 2
dddvi015 divideint 2.400 1 -> 2
dddvi016 divideint 2.4 2 -> 1
dddvi017 divideint 2.400 2 -> 1
dddvi018 divideint 2. 2 -> 1
dddvi019 divideint 20 20 -> 1
dddvi020 divideint 187 187 -> 1
dddvi021 divideint 5 2 -> 2
dddvi022 divideint 5 2.0 -> 2
dddvi023 divideint 5 2.000 -> 2
dddvi024 divideint 5 0.200 -> 25
dddvi025 divideint 5 0.200 -> 25
dddvi030 divideint 1 2 -> 0
dddvi031 divideint 1 4 -> 0
dddvi032 divideint 1 8 -> 0
dddvi033 divideint 1 16 -> 0
dddvi034 divideint 1 32 -> 0
dddvi035 divideint 1 64 -> 0
dddvi040 divideint 1 -2 -> -0
dddvi041 divideint 1 -4 -> -0
dddvi042 divideint 1 -8 -> -0
dddvi043 divideint 1 -16 -> -0
dddvi044 divideint 1 -32 -> -0
dddvi045 divideint 1 -64 -> -0
dddvi050 divideint -1 2 -> -0
dddvi051 divideint -1 4 -> -0
dddvi052 divideint -1 8 -> -0
dddvi053 divideint -1 16 -> -0
dddvi054 divideint -1 32 -> -0
dddvi055 divideint -1 64 -> -0
dddvi060 divideint -1 -2 -> 0
dddvi061 divideint -1 -4 -> 0
dddvi062 divideint -1 -8 -> 0
dddvi063 divideint -1 -16 -> 0
dddvi064 divideint -1 -32 -> 0
dddvi065 divideint -1 -64 -> 0
-- similar with powers of ten
dddvi160 divideint 1 1 -> 1
dddvi161 divideint 1 10 -> 0
dddvi162 divideint 1 100 -> 0
dddvi163 divideint 1 1000 -> 0
dddvi164 divideint 1 10000 -> 0
dddvi165 divideint 1 100000 -> 0
dddvi166 divideint 1 1000000 -> 0
dddvi167 divideint 1 10000000 -> 0
dddvi168 divideint 1 100000000 -> 0
dddvi170 divideint 1 -1 -> -1
dddvi171 divideint 1 -10 -> -0
dddvi172 divideint 1 -100 -> -0
dddvi173 divideint 1 -1000 -> -0
dddvi174 divideint 1 -10000 -> -0
dddvi175 divideint 1 -100000 -> -0
dddvi176 divideint 1 -1000000 -> -0
dddvi177 divideint 1 -10000000 -> -0
dddvi178 divideint 1 -100000000 -> -0
dddvi180 divideint -1 1 -> -1
dddvi181 divideint -1 10 -> -0
dddvi182 divideint -1 100 -> -0
dddvi183 divideint -1 1000 -> -0
dddvi184 divideint -1 10000 -> -0
dddvi185 divideint -1 100000 -> -0
dddvi186 divideint -1 1000000 -> -0
dddvi187 divideint -1 10000000 -> -0
dddvi188 divideint -1 100000000 -> -0
dddvi190 divideint -1 -1 -> 1
dddvi191 divideint -1 -10 -> 0
dddvi192 divideint -1 -100 -> 0
dddvi193 divideint -1 -1000 -> 0
dddvi194 divideint -1 -10000 -> 0
dddvi195 divideint -1 -100000 -> 0
dddvi196 divideint -1 -1000000 -> 0
dddvi197 divideint -1 -10000000 -> 0
dddvi198 divideint -1 -100000000 -> 0
-- some long operand (at p=9) cases
dddvi070 divideint 999999999 1 -> 999999999
dddvi071 divideint 999999999.4 1 -> 999999999
dddvi072 divideint 999999999.5 1 -> 999999999
dddvi073 divideint 999999999.9 1 -> 999999999
dddvi074 divideint 999999999.999 1 -> 999999999
dddvi090 divideint 0. 1 -> 0
dddvi091 divideint .0 1 -> 0
dddvi092 divideint 0.00 1 -> 0
dddvi093 divideint 0.00E+9 1 -> 0
dddvi094 divideint 0.0000E-50 1 -> 0
dddvi100 divideint 1 1 -> 1
dddvi101 divideint 1 2 -> 0
dddvi102 divideint 1 3 -> 0
dddvi103 divideint 1 4 -> 0
dddvi104 divideint 1 5 -> 0
dddvi105 divideint 1 6 -> 0
dddvi106 divideint 1 7 -> 0
dddvi107 divideint 1 8 -> 0
dddvi108 divideint 1 9 -> 0
dddvi109 divideint 1 10 -> 0
dddvi110 divideint 1 1 -> 1
dddvi111 divideint 2 1 -> 2
dddvi112 divideint 3 1 -> 3
dddvi113 divideint 4 1 -> 4
dddvi114 divideint 5 1 -> 5
dddvi115 divideint 6 1 -> 6
dddvi116 divideint 7 1 -> 7
dddvi117 divideint 8 1 -> 8
dddvi118 divideint 9 1 -> 9
dddvi119 divideint 10 1 -> 10
-- from DiagBigDecimal
dddvi131 divideint 101.3 1 -> 101
dddvi132 divideint 101.0 1 -> 101
dddvi133 divideint 101.3 3 -> 33
dddvi134 divideint 101.0 3 -> 33
dddvi135 divideint 2.4 1 -> 2
dddvi136 divideint 2.400 1 -> 2
dddvi137 divideint 18 18 -> 1
dddvi138 divideint 1120 1000 -> 1
dddvi139 divideint 2.4 2 -> 1
dddvi140 divideint 2.400 2 -> 1
dddvi141 divideint 0.5 2.000 -> 0
dddvi142 divideint 8.005 7 -> 1
dddvi143 divideint 5 2 -> 2
dddvi144 divideint 0 2 -> 0
dddvi145 divideint 0.00 2 -> 0
-- Others
dddvi150 divideint 12345 4.999 -> 2469
dddvi151 divideint 12345 4.99 -> 2473
dddvi152 divideint 12345 4.9 -> 2519
dddvi153 divideint 12345 5 -> 2469
dddvi154 divideint 12345 5.1 -> 2420
dddvi155 divideint 12345 5.01 -> 2464
dddvi156 divideint 12345 5.001 -> 2468
dddvi157 divideint 101 7.6 -> 13
-- Various flavours of divideint by 0
dddvi201 divideint 0 0 -> NaN Division_undefined
dddvi202 divideint 0.0E5 0 -> NaN Division_undefined
dddvi203 divideint 0.000 0 -> NaN Division_undefined
dddvi204 divideint 0.0001 0 -> Infinity Division_by_zero
dddvi205 divideint 0.01 0 -> Infinity Division_by_zero
dddvi206 divideint 0.1 0 -> Infinity Division_by_zero
dddvi207 divideint 1 0 -> Infinity Division_by_zero
dddvi208 divideint 1 0.0 -> Infinity Division_by_zero
dddvi209 divideint 10 0.0 -> Infinity Division_by_zero
dddvi210 divideint 1E+100 0.0 -> Infinity Division_by_zero
dddvi211 divideint 1E+380 0 -> Infinity Division_by_zero
dddvi214 divideint -0.0001 0 -> -Infinity Division_by_zero
dddvi215 divideint -0.01 0 -> -Infinity Division_by_zero
dddvi216 divideint -0.1 0 -> -Infinity Division_by_zero
dddvi217 divideint -1 0 -> -Infinity Division_by_zero
dddvi218 divideint -1 0.0 -> -Infinity Division_by_zero
dddvi219 divideint -10 0.0 -> -Infinity Division_by_zero
dddvi220 divideint -1E+100 0.0 -> -Infinity Division_by_zero
dddvi221 divideint -1E+380 0 -> -Infinity Division_by_zero
-- test some cases that are close to exponent overflow
dddvi270 divideint 1 1e384 -> 0
dddvi271 divideint 1 0.9e384 -> 0
dddvi272 divideint 1 0.99e384 -> 0
dddvi273 divideint 1 0.9999999999999999e384 -> 0
dddvi274 divideint 9e384 1 -> NaN Division_impossible
dddvi275 divideint 9.9e384 1 -> NaN Division_impossible
dddvi276 divideint 9.99e384 1 -> NaN Division_impossible
dddvi277 divideint 9.999999999999999e384 1 -> NaN Division_impossible
dddvi280 divideint 0.1 9e-383 -> NaN Division_impossible
dddvi281 divideint 0.1 99e-383 -> NaN Division_impossible
dddvi282 divideint 0.1 999e-383 -> NaN Division_impossible
dddvi283 divideint 0.1 9e-382 -> NaN Division_impossible
dddvi284 divideint 0.1 99e-382 -> NaN Division_impossible
-- GD edge cases: lhs smaller than rhs but more digits
dddvi301 divideint 0.9 2 -> 0
dddvi302 divideint 0.9 2.0 -> 0
dddvi303 divideint 0.9 2.1 -> 0
dddvi304 divideint 0.9 2.00 -> 0
dddvi305 divideint 0.9 2.01 -> 0
dddvi306 divideint 0.12 1 -> 0
dddvi307 divideint 0.12 1.0 -> 0
dddvi308 divideint 0.12 1.00 -> 0
dddvi309 divideint 0.12 1.0 -> 0
dddvi310 divideint 0.12 1.00 -> 0
dddvi311 divideint 0.12 2 -> 0
dddvi312 divideint 0.12 2.0 -> 0
dddvi313 divideint 0.12 2.1 -> 0
dddvi314 divideint 0.12 2.00 -> 0
dddvi315 divideint 0.12 2.01 -> 0
-- edge cases of impossible
dddvi330 divideint 1234567890123456 10 -> 123456789012345
dddvi331 divideint 1234567890123456 1 -> 1234567890123456
dddvi332 divideint 1234567890123456 0.1 -> NaN Division_impossible
dddvi333 divideint 1234567890123456 0.01 -> NaN Division_impossible
-- overflow and underflow tests [from divide]
dddvi1051 divideint 1e+277 1e-311 -> NaN Division_impossible
dddvi1052 divideint 1e+277 -1e-311 -> NaN Division_impossible
dddvi1053 divideint -1e+277 1e-311 -> NaN Division_impossible
dddvi1054 divideint -1e+277 -1e-311 -> NaN Division_impossible
dddvi1055 divideint 1e-277 1e+311 -> 0
dddvi1056 divideint 1e-277 -1e+311 -> -0
dddvi1057 divideint -1e-277 1e+311 -> -0
dddvi1058 divideint -1e-277 -1e+311 -> 0
-- 'subnormal' boundary (all hard underflow or overflow in base arithemtic)
dddvi1060 divideint 1e-291 1e+101 -> 0
dddvi1061 divideint 1e-291 1e+102 -> 0
dddvi1062 divideint 1e-291 1e+103 -> 0
dddvi1063 divideint 1e-291 1e+104 -> 0
dddvi1064 divideint 1e-291 1e+105 -> 0
dddvi1065 divideint 1e-291 1e+106 -> 0
dddvi1066 divideint 1e-291 1e+107 -> 0
dddvi1067 divideint 1e-291 1e+108 -> 0
dddvi1068 divideint 1e-291 1e+109 -> 0
dddvi1069 divideint 1e-291 1e+110 -> 0
dddvi1101 divideint 1.0000E-394 1 -> 0
dddvi1102 divideint 1.000E-394 1e+1 -> 0
dddvi1103 divideint 1.00E-394 1e+2 -> 0
dddvi1118 divideint 1E-394 1e+4 -> 0
dddvi1119 divideint 3E-394 -1e+5 -> -0
dddvi1120 divideint 5E-394 1e+5 -> 0
dddvi1124 divideint 1E-394 -1e+4 -> -0
dddvi1130 divideint 3.0E-394 -1e+5 -> -0
dddvi1131 divideint 1.0E-199 1e+200 -> 0
dddvi1132 divideint 1.0E-199 1e+199 -> 0
dddvi1133 divideint 1.0E-199 1e+198 -> 0
dddvi1134 divideint 2.0E-199 2e+198 -> 0
dddvi1135 divideint 4.0E-199 4e+198 -> 0
-- long operand checks
dddvi401 divideint 12345678000 100 -> 123456780
dddvi402 divideint 1 12345678000 -> 0
dddvi403 divideint 1234567800 10 -> 123456780
dddvi404 divideint 1 1234567800 -> 0
dddvi405 divideint 1234567890 10 -> 123456789
dddvi406 divideint 1 1234567890 -> 0
dddvi407 divideint 1234567891 10 -> 123456789
dddvi408 divideint 1 1234567891 -> 0
dddvi409 divideint 12345678901 100 -> 123456789
dddvi410 divideint 1 12345678901 -> 0
dddvi411 divideint 1234567896 10 -> 123456789
dddvi412 divideint 1 1234567896 -> 0
dddvi413 divideint 12345678948 100 -> 123456789
dddvi414 divideint 12345678949 100 -> 123456789
dddvi415 divideint 12345678950 100 -> 123456789
dddvi416 divideint 12345678951 100 -> 123456789
dddvi417 divideint 12345678999 100 -> 123456789
dddvi441 divideint 12345678000 1 -> 12345678000
dddvi442 divideint 1 12345678000 -> 0
dddvi443 divideint 1234567800 1 -> 1234567800
dddvi444 divideint 1 1234567800 -> 0
dddvi445 divideint 1234567890 1 -> 1234567890
dddvi446 divideint 1 1234567890 -> 0
dddvi447 divideint 1234567891 1 -> 1234567891
dddvi448 divideint 1 1234567891 -> 0
dddvi449 divideint 12345678901 1 -> 12345678901
dddvi450 divideint 1 12345678901 -> 0
dddvi451 divideint 1234567896 1 -> 1234567896
dddvi452 divideint 1 1234567896 -> 0
-- more zeros, etc.
dddvi531 divideint 5.00 1E-3 -> 5000
dddvi532 divideint 00.00 0.000 -> NaN Division_undefined
dddvi533 divideint 00.00 0E-3 -> NaN Division_undefined
dddvi534 divideint 0 -0 -> NaN Division_undefined
dddvi535 divideint -0 0 -> NaN Division_undefined
dddvi536 divideint -0 -0 -> NaN Division_undefined
dddvi541 divideint 0 -1 -> -0
dddvi542 divideint -0 -1 -> 0
dddvi543 divideint 0 1 -> 0
dddvi544 divideint -0 1 -> -0
dddvi545 divideint -1 0 -> -Infinity Division_by_zero
dddvi546 divideint -1 -0 -> Infinity Division_by_zero
dddvi547 divideint 1 0 -> Infinity Division_by_zero
dddvi548 divideint 1 -0 -> -Infinity Division_by_zero
dddvi551 divideint 0.0 -1 -> -0
dddvi552 divideint -0.0 -1 -> 0
dddvi553 divideint 0.0 1 -> 0
dddvi554 divideint -0.0 1 -> -0
dddvi555 divideint -1.0 0 -> -Infinity Division_by_zero
dddvi556 divideint -1.0 -0 -> Infinity Division_by_zero
dddvi557 divideint 1.0 0 -> Infinity Division_by_zero
dddvi558 divideint 1.0 -0 -> -Infinity Division_by_zero
dddvi561 divideint 0 -1.0 -> -0
dddvi562 divideint -0 -1.0 -> 0
dddvi563 divideint 0 1.0 -> 0
dddvi564 divideint -0 1.0 -> -0
dddvi565 divideint -1 0.0 -> -Infinity Division_by_zero
dddvi566 divideint -1 -0.0 -> Infinity Division_by_zero
dddvi567 divideint 1 0.0 -> Infinity Division_by_zero
dddvi568 divideint 1 -0.0 -> -Infinity Division_by_zero
dddvi571 divideint 0.0 -1.0 -> -0
dddvi572 divideint -0.0 -1.0 -> 0
dddvi573 divideint 0.0 1.0 -> 0
dddvi574 divideint -0.0 1.0 -> -0
dddvi575 divideint -1.0 0.0 -> -Infinity Division_by_zero
dddvi576 divideint -1.0 -0.0 -> Infinity Division_by_zero
dddvi577 divideint 1.0 0.0 -> Infinity Division_by_zero
dddvi578 divideint 1.0 -0.0 -> -Infinity Division_by_zero
-- Specials
dddvi580 divideint Inf -Inf -> NaN Invalid_operation
dddvi581 divideint Inf -1000 -> -Infinity
dddvi582 divideint Inf -1 -> -Infinity
dddvi583 divideint Inf -0 -> -Infinity
dddvi584 divideint Inf 0 -> Infinity
dddvi585 divideint Inf 1 -> Infinity
dddvi586 divideint Inf 1000 -> Infinity
dddvi587 divideint Inf Inf -> NaN Invalid_operation
dddvi588 divideint -1000 Inf -> -0
dddvi589 divideint -Inf Inf -> NaN Invalid_operation
dddvi590 divideint -1 Inf -> -0
dddvi591 divideint -0 Inf -> -0
dddvi592 divideint 0 Inf -> 0
dddvi593 divideint 1 Inf -> 0
dddvi594 divideint 1000 Inf -> 0
dddvi595 divideint Inf Inf -> NaN Invalid_operation
dddvi600 divideint -Inf -Inf -> NaN Invalid_operation
dddvi601 divideint -Inf -1000 -> Infinity
dddvi602 divideint -Inf -1 -> Infinity
dddvi603 divideint -Inf -0 -> Infinity
dddvi604 divideint -Inf 0 -> -Infinity
dddvi605 divideint -Inf 1 -> -Infinity
dddvi606 divideint -Inf 1000 -> -Infinity
dddvi607 divideint -Inf Inf -> NaN Invalid_operation
dddvi608 divideint -1000 Inf -> -0
dddvi609 divideint -Inf -Inf -> NaN Invalid_operation
dddvi610 divideint -1 -Inf -> 0
dddvi611 divideint -0 -Inf -> 0
dddvi612 divideint 0 -Inf -> -0
dddvi613 divideint 1 -Inf -> -0
dddvi614 divideint 1000 -Inf -> -0
dddvi615 divideint Inf -Inf -> NaN Invalid_operation
dddvi621 divideint NaN -Inf -> NaN
dddvi622 divideint NaN -1000 -> NaN
dddvi623 divideint NaN -1 -> NaN
dddvi624 divideint NaN -0 -> NaN
dddvi625 divideint NaN 0 -> NaN
dddvi626 divideint NaN 1 -> NaN
dddvi627 divideint NaN 1000 -> NaN
dddvi628 divideint NaN Inf -> NaN
dddvi629 divideint NaN NaN -> NaN
dddvi630 divideint -Inf NaN -> NaN
dddvi631 divideint -1000 NaN -> NaN
dddvi632 divideint -1 NaN -> NaN
dddvi633 divideint -0 NaN -> NaN
dddvi634 divideint 0 NaN -> NaN
dddvi635 divideint 1 NaN -> NaN
dddvi636 divideint 1000 NaN -> NaN
dddvi637 divideint Inf NaN -> NaN
dddvi641 divideint sNaN -Inf -> NaN Invalid_operation
dddvi642 divideint sNaN -1000 -> NaN Invalid_operation
dddvi643 divideint sNaN -1 -> NaN Invalid_operation
dddvi644 divideint sNaN -0 -> NaN Invalid_operation
dddvi645 divideint sNaN 0 -> NaN Invalid_operation
dddvi646 divideint sNaN 1 -> NaN Invalid_operation
dddvi647 divideint sNaN 1000 -> NaN Invalid_operation
dddvi648 divideint sNaN NaN -> NaN Invalid_operation
dddvi649 divideint sNaN sNaN -> NaN Invalid_operation
dddvi650 divideint NaN sNaN -> NaN Invalid_operation
dddvi651 divideint -Inf sNaN -> NaN Invalid_operation
dddvi652 divideint -1000 sNaN -> NaN Invalid_operation
dddvi653 divideint -1 sNaN -> NaN Invalid_operation
dddvi654 divideint -0 sNaN -> NaN Invalid_operation
dddvi655 divideint 0 sNaN -> NaN Invalid_operation
dddvi656 divideint 1 sNaN -> NaN Invalid_operation
dddvi657 divideint 1000 sNaN -> NaN Invalid_operation
dddvi658 divideint Inf sNaN -> NaN Invalid_operation
dddvi659 divideint NaN sNaN -> NaN Invalid_operation
-- propagating NaNs
dddvi661 divideint NaN9 -Inf -> NaN9
dddvi662 divideint NaN8 1000 -> NaN8
dddvi663 divideint NaN7 Inf -> NaN7
dddvi664 divideint -NaN6 NaN5 -> -NaN6
dddvi665 divideint -Inf NaN4 -> NaN4
dddvi666 divideint -1000 NaN3 -> NaN3
dddvi667 divideint Inf -NaN2 -> -NaN2
dddvi671 divideint -sNaN99 -Inf -> -NaN99 Invalid_operation
dddvi672 divideint sNaN98 -1 -> NaN98 Invalid_operation
dddvi673 divideint sNaN97 NaN -> NaN97 Invalid_operation
dddvi674 divideint sNaN96 sNaN94 -> NaN96 Invalid_operation
dddvi675 divideint NaN95 sNaN93 -> NaN93 Invalid_operation
dddvi676 divideint -Inf sNaN92 -> NaN92 Invalid_operation
dddvi677 divideint 0 sNaN91 -> NaN91 Invalid_operation
dddvi678 divideint Inf -sNaN90 -> -NaN90 Invalid_operation
dddvi679 divideint NaN sNaN89 -> NaN89 Invalid_operation
-- Null tests
dddvi900 divideint 10 # -> NaN Invalid_operation
dddvi901 divideint # 10 -> NaN Invalid_operation
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