------------------------------------------------------------------------ -- divideint.decTest -- decimal integer division -- -- Copyright (c) Mike Cowlishaw, 1981, 2010. All rights reserved. -- -- Parts copyright (c) IBM Corporation, 1981, 2008. -- ------------------------------------------------------------------------ -- Please see the document "General Decimal Arithmetic Testcases" -- -- at http://speleotrove.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, mfc@speleotrove.com -- ------------------------------------------------------------------------ version: 2.62 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