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- ------------------------------------------------------------------------
- -- 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
-
-