------------------------------------------------------------------------ -- decimal32.decTest -- decimal four-byte format testcases -- -- Copyright (c) IBM Corporation, 2000, 2003. 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: 2.39 -- This set of tests is for the four-byte concrete representation. -- Its characteristics are: -- -- 1 bit sign -- 5 bits combination field -- 6 bits exponent continuation -- 20 bits coefficient continuation -- -- Total exponent length 8 bits -- Total coefficient length 24 bits (7 digits) -- -- Elimit = 191 (maximum encoded exponent) -- Emax = 96 (largest exponent value) -- Emin = -95 (smallest exponent value) -- bias = 101 (subtracted from encoded exponent) = -Etiny extended: 1 precision: 7 rounding: half_up maxExponent: 96 minExponent: -95 -- General testcases -- (mostly derived from the Strawman 4 document and examples) decd001 apply #A23003D0 -> -7.50 decd002 apply -7.50 -> #A23003D0 -- Normality decd010 apply 1234567 -> #2654d2e7 decd011 apply 1234567.0 -> #2654d2e7 Rounded decd012 apply 1234567.1 -> #2654d2e7 Rounded Inexact decd013 apply -1234567 -> #a654d2e7 decd014 apply -1234567.0 -> #a654d2e7 Rounded decd015 apply -1234567.1 -> #a654d2e7 Rounded Inexact -- Nmax and similar decd022 apply 9.999999E+96 -> #77f3fcff decd023 apply #77f3fcff -> 9.999999E+96 decd024 apply 1.234567E+96 -> #47f4d2e7 decd025 apply #47f4d2e7 -> 1.234567E+96 -- fold-downs (more below) decd030 apply 1.23E+96 -> #47f4c000 Clamped decd031 apply #47f4c000 -> 1.230000E+96 decd032 apply 1E+96 -> #47f00000 Clamped decd033 apply #47f00000 -> 1.000000E+96 -- overflows maxExponent: 999 -- set high so conversion causes the overflow minExponent: -999 decd040 apply 10E+96 -> #78000000 Overflow Rounded Inexact decd041 apply 1.000000E+97 -> #78000000 Overflow Rounded Inexact maxExponent: 96 minExponent: -95 decd051 apply 12345 -> #225049c5 decd052 apply #225049c5 -> 12345 decd053 apply 1234 -> #22500534 decd054 apply #22500534 -> 1234 decd055 apply 123 -> #225000a3 decd056 apply #225000a3 -> 123 decd057 apply 12 -> #22500012 decd058 apply #22500012 -> 12 decd059 apply 1 -> #22500001 decd060 apply #22500001 -> 1 decd061 apply 1.23 -> #223000a3 decd062 apply #223000a3 -> 1.23 decd063 apply 123.45 -> #223049c5 decd064 apply #223049c5 -> 123.45 -- Nmin and below decd071 apply 1E-95 -> #00600001 decd072 apply #00600001 -> 1E-95 decd073 apply 1.000000E-95 -> #04000000 decd074 apply #04000000 -> 1.000000E-95 decd075 apply 1.000001E-95 -> #04000001 decd076 apply #04000001 -> 1.000001E-95 decd077 apply 0.100000E-95 -> #00020000 Subnormal decd07x apply 1.00000E-96 -> 1.00000E-96 Subnormal decd078 apply #00020000 -> 1.00000E-96 Subnormal decd079 apply 0.000010E-95 -> #00000010 Subnormal decd080 apply #00000010 -> 1.0E-100 Subnormal decd081 apply 0.000001E-95 -> #00000001 Subnormal decd082 apply #00000001 -> 1E-101 Subnormal decd083 apply 1e-101 -> #00000001 Subnormal decd084 apply #00000001 -> 1E-101 Subnormal decd08x apply 1e-101 -> 1E-101 Subnormal -- underflows decd090 apply 1e-101 -> #00000001 Subnormal decd091 apply 1.9e-101 -> #00000002 Subnormal Underflow Inexact Rounded decd092 apply 1.1e-101 -> #00000001 Subnormal Underflow Inexact Rounded decd093 apply 1.001e-101 -> #00000001 Subnormal Underflow Inexact Rounded decd094 apply 1.000001e-101 -> #00000001 Subnormal Underflow Inexact Rounded decd095 apply 1.0000001e-101 -> #00000001 Subnormal Underflow Inexact Rounded decd096 apply 0.1e-101 -> #00000000 Subnormal Underflow Inexact Rounded decd097 apply 0.001e-101 -> #00000000 Subnormal Underflow Inexact Rounded decd098 apply 0.000001e-101 -> #00000000 Subnormal Underflow Inexact Rounded decd099 apply 0.0000001e-101 -> #00000000 Subnormal Underflow Inexact Rounded -- same again, negatives -- -- Nmax and similar decd122 apply -9.999999E+96 -> #f7f3fcff decd123 apply #f7f3fcff -> -9.999999E+96 decd124 apply -1.234567E+96 -> #c7f4d2e7 decd125 apply #c7f4d2e7 -> -1.234567E+96 -- fold-downs (more below) decd130 apply -1.23E+96 -> #c7f4c000 Clamped decd131 apply #c7f4c000 -> -1.230000E+96 decd132 apply -1E+96 -> #c7f00000 Clamped decd133 apply #c7f00000 -> -1.000000E+96 -- overflows maxExponent: 999 -- set high so conversion causes the overflow minExponent: -999 decd140 apply -10E+96 -> #f8000000 Overflow Rounded Inexact decd141 apply -1.000000E+97 -> #f8000000 Overflow Rounded Inexact maxExponent: 96 minExponent: -95 decd151 apply -12345 -> #a25049c5 decd152 apply #a25049c5 -> -12345 decd153 apply -1234 -> #a2500534 decd154 apply #a2500534 -> -1234 decd155 apply -123 -> #a25000a3 decd156 apply #a25000a3 -> -123 decd157 apply -12 -> #a2500012 decd158 apply #a2500012 -> -12 decd159 apply -1 -> #a2500001 decd160 apply #a2500001 -> -1 decd161 apply -1.23 -> #a23000a3 decd162 apply #a23000a3 -> -1.23 decd163 apply -123.45 -> #a23049c5 decd164 apply #a23049c5 -> -123.45 -- Nmin and below decd171 apply -1E-95 -> #80600001 decd172 apply #80600001 -> -1E-95 decd173 apply -1.000000E-95 -> #84000000 decd174 apply #84000000 -> -1.000000E-95 decd175 apply -1.000001E-95 -> #84000001 decd176 apply #84000001 -> -1.000001E-95 decd177 apply -0.100000E-95 -> #80020000 Subnormal decd178 apply #80020000 -> -1.00000E-96 Subnormal decd179 apply -0.000010E-95 -> #80000010 Subnormal decd180 apply #80000010 -> -1.0E-100 Subnormal decd181 apply -0.000001E-95 -> #80000001 Subnormal decd182 apply #80000001 -> -1E-101 Subnormal decd183 apply -1e-101 -> #80000001 Subnormal decd184 apply #80000001 -> -1E-101 Subnormal -- underflows decd190 apply -1e-101 -> #80000001 Subnormal decd191 apply -1.9e-101 -> #80000002 Subnormal Underflow Inexact Rounded decd192 apply -1.1e-101 -> #80000001 Subnormal Underflow Inexact Rounded decd193 apply -1.001e-101 -> #80000001 Subnormal Underflow Inexact Rounded decd194 apply -1.000001e-101 -> #80000001 Subnormal Underflow Inexact Rounded decd195 apply -1.0000001e-101 -> #80000001 Subnormal Underflow Inexact Rounded decd196 apply -0.1e-101 -> #80000000 Subnormal Underflow Inexact Rounded decd197 apply -0.001e-101 -> #80000000 Subnormal Underflow Inexact Rounded decd198 apply -0.000001e-101 -> #80000000 Subnormal Underflow Inexact Rounded decd199 apply -0.0000001e-101 -> #80000000 Subnormal Underflow Inexact Rounded -- zeros decd400 apply 0E-400 -> #00000000 Clamped decd401 apply 0E-101 -> #00000000 decd402 apply #00000000 -> 0E-101 decd403 apply 0.000000E-95 -> #00000000 decd404 apply #00000000 -> 0E-101 decd405 apply 0E-2 -> #22300000 decd406 apply #22300000 -> 0.00 decd407 apply 0 -> #22500000 decd408 apply #22500000 -> 0 decd409 apply 0E+3 -> #22800000 decd410 apply #22800000 -> 0E+3 decd411 apply 0E+90 -> #43f00000 decd412 apply #43f00000 -> 0E+90 -- clamped zeros... decd413 apply 0E+91 -> #43f00000 Clamped decd414 apply #43f00000 -> 0E+90 decd415 apply 0E+96 -> #43f00000 Clamped decd416 apply #43f00000 -> 0E+90 decd417 apply 0E+400 -> #43f00000 Clamped decd418 apply #43f00000 -> 0E+90 -- negative zeros decd420 apply -0E-400 -> #80000000 Clamped decd421 apply -0E-101 -> #80000000 decd422 apply #80000000 -> -0E-101 decd423 apply -0.000000E-95 -> #80000000 decd424 apply #80000000 -> -0E-101 decd425 apply -0E-2 -> #a2300000 decd426 apply #a2300000 -> -0.00 decd427 apply -0 -> #a2500000 decd428 apply #a2500000 -> -0 decd429 apply -0E+3 -> #a2800000 decd430 apply #a2800000 -> -0E+3 decd431 apply -0E+90 -> #c3f00000 decd432 apply #c3f00000 -> -0E+90 -- clamped zeros... decd433 apply -0E+91 -> #c3f00000 Clamped decd434 apply #c3f00000 -> -0E+90 decd435 apply -0E+96 -> #c3f00000 Clamped decd436 apply #c3f00000 -> -0E+90 decd437 apply -0E+400 -> #c3f00000 Clamped decd438 apply #c3f00000 -> -0E+90 -- Specials decd500 apply Infinity -> #78000000 decd501 apply #78787878 -> #78000000 decd502 apply #78000000 -> Infinity decd503 apply #79797979 -> #78000000 decd504 apply #79000000 -> Infinity decd505 apply #7a7a7a7a -> #78000000 decd506 apply #7a000000 -> Infinity decd507 apply #7b7b7b7b -> #78000000 decd508 apply #7b000000 -> Infinity decd509 apply #7c7c7c7c -> #7c0c7c7c decd510 apply NaN -> #7c000000 decd511 apply #7c000000 -> NaN decd512 apply #7d7d7d7d -> #7c0d7d7d decd513 apply #7d000000 -> NaN decd514 apply #7e7e7e7e -> #7e0e7c7e decd515 apply #7e000000 -> sNaN decd516 apply #7f7f7f7f -> #7e0f7c7f decd517 apply #7f000000 -> sNaN decd518 apply #7fffffff -> sNaN999999 decd519 apply #7fffffff -> #7e03fcff decd520 apply -Infinity -> #f8000000 decd521 apply #f8787878 -> #f8000000 decd522 apply #f8000000 -> -Infinity decd523 apply #f9797979 -> #f8000000 decd524 apply #f9000000 -> -Infinity decd525 apply #fa7a7a7a -> #f8000000 decd526 apply #fa000000 -> -Infinity decd527 apply #fb7b7b7b -> #f8000000 decd528 apply #fb000000 -> -Infinity decd529 apply -NaN -> #fc000000 decd530 apply #fc7c7c7c -> #fc0c7c7c decd531 apply #fc000000 -> -NaN decd532 apply #fd7d7d7d -> #fc0d7d7d decd533 apply #fd000000 -> -NaN decd534 apply #fe7e7e7e -> #fe0e7c7e decd535 apply #fe000000 -> -sNaN decd536 apply #ff7f7f7f -> #fe0f7c7f decd537 apply #ff000000 -> -sNaN decd538 apply #ffffffff -> -sNaN999999 decd539 apply #ffffffff -> #fe03fcff -- diagnostic NaNs decd540 apply NaN -> #7c000000 decd541 apply NaN0 -> #7c000000 decd542 apply NaN1 -> #7c000001 decd543 apply NaN12 -> #7c000012 decd544 apply NaN79 -> #7c000079 decd545 apply NaN12345 -> #7c0049c5 decd546 apply NaN123456 -> #7c028e56 decd547 apply NaN799799 -> #7c0f7fdf decd548 apply NaN999999 -> #7c03fcff decd549 apply NaN1234567 -> #7c000000 -- too many digits -- fold-down full sequence decd601 apply 1E+96 -> #47f00000 Clamped decd602 apply #47f00000 -> 1.000000E+96 decd603 apply 1E+95 -> #43f20000 Clamped decd604 apply #43f20000 -> 1.00000E+95 decd605 apply 1E+94 -> #43f04000 Clamped decd606 apply #43f04000 -> 1.0000E+94 decd607 apply 1E+93 -> #43f00400 Clamped decd608 apply #43f00400 -> 1.000E+93 decd609 apply 1E+92 -> #43f00080 Clamped decd610 apply #43f00080 -> 1.00E+92 decd611 apply 1E+91 -> #43f00010 Clamped decd612 apply #43f00010 -> 1.0E+91 decd613 apply 1E+90 -> #43f00001 decd614 apply #43f00001 -> 1E+90 -- Selected DPD codes decd700 apply #22500000 -> 0 decd701 apply #22500009 -> 9 decd702 apply #22500010 -> 10 decd703 apply #22500019 -> 19 decd704 apply #22500020 -> 20 decd705 apply #22500029 -> 29 decd706 apply #22500030 -> 30 decd707 apply #22500039 -> 39 decd708 apply #22500040 -> 40 decd709 apply #22500049 -> 49 decd710 apply #22500050 -> 50 decd711 apply #22500059 -> 59 decd712 apply #22500060 -> 60 decd713 apply #22500069 -> 69 decd714 apply #22500070 -> 70 decd715 apply #22500071 -> 71 decd716 apply #22500072 -> 72 decd717 apply #22500073 -> 73 decd718 apply #22500074 -> 74 decd719 apply #22500075 -> 75 decd720 apply #22500076 -> 76 decd721 apply #22500077 -> 77 decd722 apply #22500078 -> 78 decd723 apply #22500079 -> 79 decd730 apply #2250029e -> 994 decd731 apply #2250029f -> 995 decd732 apply #225002a0 -> 520 decd733 apply #225002a1 -> 521 -- DPD: one of each of the huffman groups decd740 apply #225003f7 -> 777 decd741 apply #225003f8 -> 778 decd742 apply #225003eb -> 787 decd743 apply #2250037d -> 877 decd744 apply #2250039f -> 997 decd745 apply #225003bf -> 979 decd746 apply #225003df -> 799 decd747 apply #2250006e -> 888 -- DPD all-highs cases (includes the 24 redundant codes) decd750 apply #2250006e -> 888 decd751 apply #2250016e -> 888 decd752 apply #2250026e -> 888 decd753 apply #2250036e -> 888 decd754 apply #2250006f -> 889 decd755 apply #2250016f -> 889 decd756 apply #2250026f -> 889 decd757 apply #2250036f -> 889 decd760 apply #2250007e -> 898 decd761 apply #2250017e -> 898 decd762 apply #2250027e -> 898 decd763 apply #2250037e -> 898 decd764 apply #2250007f -> 899 decd765 apply #2250017f -> 899 decd766 apply #2250027f -> 899 decd767 apply #2250037f -> 899 decd770 apply #225000ee -> 988 decd771 apply #225001ee -> 988 decd772 apply #225002ee -> 988 decd773 apply #225003ee -> 988 decd774 apply #225000ef -> 989 decd775 apply #225001ef -> 989 decd776 apply #225002ef -> 989 decd777 apply #225003ef -> 989 decd780 apply #225000fe -> 998 decd781 apply #225001fe -> 998 decd782 apply #225002fe -> 998 decd783 apply #225003fe -> 998 decd784 apply #225000ff -> 999 decd785 apply #225001ff -> 999 decd786 apply #225002ff -> 999 decd787 apply #225003ff -> 999