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------------------------------------------------------------------------
-- decimal64.decTest -- decimal eight-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: 2.28

-- This set of tests is for the eight-byte concrete representation.
-- Its characteristics are:
--
--  1 bit  sign
--  5 bits combination field
--  8 bits exponent continuation
-- 50 bits coefficient continuation
--
-- Total exponent length 10 bits
-- Total coefficient length 54 bits (16 digits)
--
-- Elimit =  767 (maximum encoded exponent)
-- Emax   =  384 (largest exponent value)
-- Emin   = -383 (smallest exponent value)
-- bias   =  398 (subtracted from encoded exponent) = -Etiny

extended:    1
precision:   16
rounding:    half_up
maxExponent: 384
minExponent: -383

-- General testcases
-- (mostly derived from the Strawman 4 document and examples)
dece001 apply   #A2300000000003D0 -> -7.50
dece002 apply   -7.50             -> #A2300000000003D0

-- Normality
dece010 apply   1234567890123456   -> #263934b9c1e28e56
dece011 apply   1234567890123456.0 -> #263934b9c1e28e56 Rounded
dece012 apply   1234567890123456.1 -> #263934b9c1e28e56 Rounded Inexact
dece013 apply  -1234567890123456   -> #a63934b9c1e28e56
dece014 apply  -1234567890123456.0 -> #a63934b9c1e28e56 Rounded
dece015 apply  -1234567890123456.1 -> #a63934b9c1e28e56 Rounded Inexact


-- Nmax and similar
dece022 apply   9.999999999999999E+384  -> #77fcff3fcff3fcff
dece023 apply   #77fcff3fcff3fcff       -> 9.999999999999999E+384
dece024 apply   1.234567890123456E+384  -> #47fd34b9c1e28e56
dece025 apply   #47fd34b9c1e28e56       -> 1.234567890123456E+384
-- fold-downs (more below)
dece030 apply   1.23E+384               -> #47fd300000000000 Clamped
dece031 apply   #47fd300000000000       -> 1.230000000000000E+384
dece032 apply   1E+384                  -> #47fc000000000000 Clamped
dece033 apply   #47fc000000000000       -> 1.000000000000000E+384

-- overflows
maxExponent: 999   -- set high so conversion causes the overflow
minExponent: -999
dece040 apply   10E+384                 -> #7800000000000000 Overflow Rounded Inexact
dece041 apply   1.000000000000000E+385  -> #7800000000000000 Overflow Rounded Inexact
maxExponent: 384
minExponent: -383

dece051 apply   12345                   -> #22380000000049c5
dece052 apply   #22380000000049c5       -> 12345
dece053 apply   1234                    -> #2238000000000534
dece054 apply   #2238000000000534       -> 1234
dece055 apply   123                     -> #22380000000000a3
dece056 apply   #22380000000000a3       -> 123
dece057 apply   12                      -> #2238000000000012
dece058 apply   #2238000000000012       -> 12
dece059 apply   1                       -> #2238000000000001
dece060 apply   #2238000000000001       -> 1
dece061 apply   1.23                    -> #22300000000000a3
dece062 apply   #22300000000000a3       -> 1.23
dece063 apply   123.45                  -> #22300000000049c5
dece064 apply   #22300000000049c5       -> 123.45

-- Nmin and below
dece071 apply   1E-383                  -> #003c000000000001
dece072 apply   #003c000000000001       -> 1E-383
dece073 apply   1.000000000000000E-383  -> #0400000000000000
dece074 apply   #0400000000000000       -> 1.000000000000000E-383
dece075 apply   1.000000000000001E-383  -> #0400000000000001
dece076 apply   #0400000000000001       -> 1.000000000000001E-383

dece077 apply   0.100000000000000E-383  -> #0000800000000000      Subnormal
dece078 apply   #0000800000000000       -> 1.00000000000000E-384  Subnormal
dece079 apply   0.000000000000010E-383  -> #0000000000000010      Subnormal
dece080 apply   #0000000000000010       -> 1.0E-397               Subnormal
dece081 apply   0.00000000000001E-383   -> #0004000000000001      Subnormal
dece082 apply   #0004000000000001       -> 1E-397                 Subnormal
dece083 apply   0.000000000000001E-383  -> #0000000000000001      Subnormal
dece084 apply   #0000000000000001       -> 1E-398                 Subnormal

-- underflows
dece090 apply   1e-398                  -> #0000000000000001  Subnormal
dece091 apply   1.9e-398                -> #0000000000000002  Subnormal Underflow Inexact Rounded
dece092 apply   1.1e-398                -> #0000000000000001  Subnormal Underflow Inexact Rounded
dece093 apply   1.00000000001e-398      -> #0000000000000001  Subnormal Underflow Inexact Rounded
dece094 apply   1.00000000000001e-398   -> #0000000000000001  Subnormal Underflow Inexact Rounded
dece095 apply   1.000000000000001e-398  -> #0000000000000001  Subnormal Underflow Inexact Rounded
dece096 apply   0.1e-398                -> #0000000000000000  Subnormal Underflow Inexact Rounded
dece097 apply   0.00000000001e-398      -> #0000000000000000  Subnormal Underflow Inexact Rounded
dece098 apply   0.00000000000001e-398   -> #0000000000000000  Subnormal Underflow Inexact Rounded
dece099 apply   0.000000000000001e-398  -> #0000000000000000  Subnormal Underflow Inexact Rounded

-- Same again, negatives
-- Nmax and similar
dece122 apply  -9.999999999999999E+384  -> #f7fcff3fcff3fcff
dece123 apply   #f7fcff3fcff3fcff       -> -9.999999999999999E+384
dece124 apply  -1.234567890123456E+384  -> #c7fd34b9c1e28e56
dece125 apply   #c7fd34b9c1e28e56       -> -1.234567890123456E+384
-- fold-downs (more below)
dece130 apply  -1.23E+384               -> #c7fd300000000000 Clamped
dece131 apply   #c7fd300000000000       -> -1.230000000000000E+384
dece132 apply  -1E+384                  -> #c7fc000000000000 Clamped
dece133 apply   #c7fc000000000000       -> -1.000000000000000E+384

-- overflows
maxExponent: 999   -- set high so conversion causes the overflow
minExponent: -999
dece140 apply  -10E+384                 -> #f800000000000000 Overflow Rounded Inexact
dece141 apply  -1.000000000000000E+385  -> #f800000000000000 Overflow Rounded Inexact
maxExponent: 384
minExponent: -383

dece151 apply  -12345                   -> #a2380000000049c5
dece152 apply   #a2380000000049c5       -> -12345
dece153 apply  -1234                    -> #a238000000000534
dece154 apply   #a238000000000534       -> -1234
dece155 apply  -123                     -> #a2380000000000a3
dece156 apply   #a2380000000000a3       -> -123
dece157 apply  -12                      -> #a238000000000012
dece158 apply   #a238000000000012       -> -12
dece159 apply  -1                       -> #a238000000000001
dece160 apply   #a238000000000001       -> -1
dece161 apply  -1.23                    -> #a2300000000000a3
dece162 apply   #a2300000000000a3       -> -1.23
dece163 apply  -123.45                  -> #a2300000000049c5
dece164 apply   #a2300000000049c5       -> -123.45

-- Nmin and below
dece171 apply  -1E-383                  -> #803c000000000001
dece172 apply   #803c000000000001       -> -1E-383
dece173 apply  -1.000000000000000E-383  -> #8400000000000000
dece174 apply   #8400000000000000       -> -1.000000000000000E-383
dece175 apply  -1.000000000000001E-383  -> #8400000000000001
dece176 apply   #8400000000000001       -> -1.000000000000001E-383

dece177 apply  -0.100000000000000E-383  -> #8000800000000000       Subnormal
dece178 apply   #8000800000000000       -> -1.00000000000000E-384  Subnormal
dece179 apply  -0.000000000000010E-383  -> #8000000000000010       Subnormal
dece180 apply   #8000000000000010       -> -1.0E-397               Subnormal
dece181 apply  -0.00000000000001E-383   -> #8004000000000001       Subnormal
dece182 apply   #8004000000000001       -> -1E-397                 Subnormal
dece183 apply  -0.000000000000001E-383  -> #8000000000000001       Subnormal
dece184 apply   #8000000000000001       -> -1E-398                 Subnormal

-- underflows
dece189 apply   -1e-398                 -> #8000000000000001  Subnormal
dece190 apply   -1.0e-398               -> #8000000000000001  Subnormal Rounded
dece191 apply   -1.9e-398               -> #8000000000000002  Subnormal Underflow Inexact Rounded
dece192 apply   -1.1e-398               -> #8000000000000001  Subnormal Underflow Inexact Rounded
dece193 apply   -1.00000000001e-398     -> #8000000000000001  Subnormal Underflow Inexact Rounded
dece194 apply   -1.00000000000001e-398  -> #8000000000000001  Subnormal Underflow Inexact Rounded
dece195 apply   -1.000000000000001e-398 -> #8000000000000001  Subnormal Underflow Inexact Rounded
dece196 apply   -0.1e-398               -> #8000000000000000  Subnormal Underflow Inexact Rounded
dece197 apply   -0.00000000001e-398     -> #8000000000000000  Subnormal Underflow Inexact Rounded
dece198 apply   -0.00000000000001e-398  -> #8000000000000000  Subnormal Underflow Inexact Rounded
dece199 apply   -0.000000000000001e-398 -> #8000000000000000  Subnormal Underflow Inexact Rounded

-- zeros
dece401 apply   0E-500                  -> #0000000000000000  Clamped
dece402 apply   0E-400                  -> #0000000000000000  Clamped
dece403 apply   0E-398                  -> #0000000000000000
dece404 apply   #0000000000000000       -> 0E-398
dece405 apply   0.000000000000000E-383  -> #0000000000000000
dece406 apply   #0000000000000000       -> 0E-398
dece407 apply   0E-2                    -> #2230000000000000
dece408 apply   #2230000000000000       -> 0.00
dece409 apply   0                       -> #2238000000000000
dece410 apply   #2238000000000000       -> 0
dece411 apply   0E+3                    -> #2244000000000000
dece412 apply   #2244000000000000       -> 0E+3
dece413 apply   0E+369                  -> #43fc000000000000
dece414 apply   #43fc000000000000       -> 0E+369
-- clamped zeros...
dece415 apply   0E+370                  -> #43fc000000000000  Clamped
dece416 apply   #43fc000000000000       -> 0E+369
dece417 apply   0E+384                  -> #43fc000000000000  Clamped
dece418 apply   #43fc000000000000       -> 0E+369
dece419 apply   0E+400                  -> #43fc000000000000  Clamped
dece420 apply   #43fc000000000000       -> 0E+369
dece421 apply   0E+500                  -> #43fc000000000000  Clamped
dece422 apply   #43fc000000000000       -> 0E+369

-- negative zeros
dece431 apply   -0E-400                 -> #8000000000000000  Clamped
dece432 apply   -0E-400                 -> #8000000000000000  Clamped
dece433 apply   -0E-398                 -> #8000000000000000
dece434 apply   #8000000000000000       -> -0E-398
dece435 apply   -0.000000000000000E-383 -> #8000000000000000
dece436 apply   #8000000000000000       -> -0E-398
dece437 apply   -0E-2                   -> #a230000000000000
dece438 apply   #a230000000000000       -> -0.00
dece439 apply   -0                      -> #a238000000000000
dece440 apply   #a238000000000000       -> -0
dece441 apply   -0E+3                   -> #a244000000000000
dece442 apply   #a244000000000000       -> -0E+3
dece443 apply   -0E+369                 -> #c3fc000000000000
dece444 apply   #c3fc000000000000       -> -0E+369
-- clamped zeros...
dece445 apply   -0E+370                 -> #c3fc000000000000  Clamped
dece446 apply   #c3fc000000000000       -> -0E+369
dece447 apply   -0E+384                 -> #c3fc000000000000  Clamped
dece448 apply   #c3fc000000000000       -> -0E+369
dece449 apply   -0E+400                 -> #c3fc000000000000  Clamped
dece450 apply   #c3fc000000000000       -> -0E+369
dece451 apply   -0E+500                 -> #c3fc000000000000  Clamped
dece452 apply   #c3fc000000000000       -> -0E+369

-- Specials
dece501 apply   #7878787878787878 -> #7800000000000000
dece502 apply   #7800000000000000 -> Infinity
dece503 apply   #7979797979797979 -> #7800000000000000
dece504 apply   #7900000000000000 -> Infinity
dece505 apply   #7a7a7a7a7a7a7a7a -> #7800000000000000
dece506 apply   #7a00000000000000 -> Infinity
dece507 apply   #7b7b7b7b7b7b7b7b -> #7800000000000000
dece508 apply   #7b00000000000000 -> Infinity
dece509 apply   #7c7c7c7c7c7c7c7c -> #7dffffffffffffff
dece510 apply   #7c00000000000000 -> NaN
dece511 apply   #7d7d7d7d7d7d7d7d -> #7dffffffffffffff
dece512 apply   #7d00000000000000 -> NaN
dece513 apply   #7e7e7e7e7e7e7e7e -> #7fffffffffffffff
dece514 apply   #7e00000000000000 -> sNaN
dece515 apply   #7f7f7f7f7f7f7f7f -> #7fffffffffffffff
dece516 apply   #7f00000000000000 -> sNaN

dece521 apply   #f878787878787878 -> #f800000000000000
dece522 apply   #f800000000000000 -> -Infinity
dece523 apply   #f979797979797979 -> #f800000000000000
dece524 apply   #f900000000000000 -> -Infinity
dece525 apply   #fa7a7a7a7a7a7a7a -> #f800000000000000
dece526 apply   #fa00000000000000 -> -Infinity
dece527 apply   #fb7b7b7b7b7b7b7b -> #f800000000000000
dece528 apply   #fb00000000000000 -> -Infinity
dece529 apply   #fc7c7c7c7c7c7c7c -> #7dffffffffffffff
dece530 apply   #fc00000000000000 -> NaN
dece531 apply   #fd7d7d7d7d7d7d7d -> #7dffffffffffffff
dece532 apply   #fd00000000000000 -> NaN
dece533 apply   #fe7e7e7e7e7e7e7e -> #7fffffffffffffff
dece534 apply   #fe00000000000000 -> sNaN
dece535 apply   #ff7f7f7f7f7f7f7f -> #7fffffffffffffff
dece536 apply   #ff00000000000000 -> sNaN

-- fold-down full sequence
dece601 apply   1E+384                  -> #47fc000000000000 Clamped
dece602 apply   #47fc000000000000       -> 1.000000000000000E+384
dece603 apply   1E+383                  -> #43fc800000000000 Clamped
dece604 apply   #43fc800000000000       -> 1.00000000000000E+383
dece605 apply   1E+382                  -> #43fc100000000000 Clamped
dece606 apply   #43fc100000000000       -> 1.0000000000000E+382
dece607 apply   1E+381                  -> #43fc010000000000 Clamped
dece608 apply   #43fc010000000000       -> 1.000000000000E+381
dece609 apply   1E+380                  -> #43fc002000000000 Clamped
dece610 apply   #43fc002000000000       -> 1.00000000000E+380
dece611 apply   1E+379                  -> #43fc000400000000 Clamped
dece612 apply   #43fc000400000000       -> 1.0000000000E+379
dece613 apply   1E+378                  -> #43fc000040000000 Clamped
dece614 apply   #43fc000040000000       -> 1.000000000E+378
dece615 apply   1E+377                  -> #43fc000008000000 Clamped
dece616 apply   #43fc000008000000       -> 1.00000000E+377
dece617 apply   1E+376                  -> #43fc000001000000 Clamped
dece618 apply   #43fc000001000000       -> 1.0000000E+376
dece619 apply   1E+375                  -> #43fc000000100000 Clamped
dece620 apply   #43fc000000100000       -> 1.000000E+375
dece621 apply   1E+374                  -> #43fc000000020000 Clamped
dece622 apply   #43fc000000020000       -> 1.00000E+374
dece623 apply   1E+373                  -> #43fc000000004000 Clamped
dece624 apply   #43fc000000004000       -> 1.0000E+373
dece625 apply   1E+372                  -> #43fc000000000400 Clamped
dece626 apply   #43fc000000000400       -> 1.000E+372
dece627 apply   1E+371                  -> #43fc000000000080 Clamped
dece628 apply   #43fc000000000080       -> 1.00E+371
dece629 apply   1E+370                  -> #43fc000000000010 Clamped
dece630 apply   #43fc000000000010       -> 1.0E+370
dece631 apply   1E+369                  -> #43fc000000000001
dece632 apply   #43fc000000000001       -> 1E+369
dece633 apply   1E+368                  -> #43f8000000000001
dece634 apply   #43f8000000000001       -> 1E+368
-- same with 9s
dece641 apply   9E+384                  -> #77fc000000000000 Clamped
dece642 apply   #77fc000000000000       -> 9.000000000000000E+384
dece643 apply   9E+383                  -> #43fc8c0000000000 Clamped
dece644 apply   #43fc8c0000000000       -> 9.00000000000000E+383
dece645 apply   9E+382                  -> #43fc1a0000000000 Clamped
dece646 apply   #43fc1a0000000000       -> 9.0000000000000E+382
dece647 apply   9E+381                  -> #43fc090000000000 Clamped
dece648 apply   #43fc090000000000       -> 9.000000000000E+381
dece649 apply   9E+380                  -> #43fc002300000000 Clamped
dece650 apply   #43fc002300000000       -> 9.00000000000E+380
dece651 apply   9E+379                  -> #43fc000680000000 Clamped
dece652 apply   #43fc000680000000       -> 9.0000000000E+379
dece653 apply   9E+378                  -> #43fc000240000000 Clamped
dece654 apply   #43fc000240000000       -> 9.000000000E+378
dece655 apply   9E+377                  -> #43fc000008c00000 Clamped
dece656 apply   #43fc000008c00000       -> 9.00000000E+377
dece657 apply   9E+376                  -> #43fc000001a00000 Clamped
dece658 apply   #43fc000001a00000       -> 9.0000000E+376
dece659 apply   9E+375                  -> #43fc000000900000 Clamped
dece660 apply   #43fc000000900000       -> 9.000000E+375
dece661 apply   9E+374                  -> #43fc000000023000 Clamped
dece662 apply   #43fc000000023000       -> 9.00000E+374
dece663 apply   9E+373                  -> #43fc000000006800 Clamped
dece664 apply   #43fc000000006800       -> 9.0000E+373
dece665 apply   9E+372                  -> #43fc000000002400 Clamped
dece666 apply   #43fc000000002400       -> 9.000E+372
dece667 apply   9E+371                  -> #43fc00000000008c Clamped
dece668 apply   #43fc00000000008c       -> 9.00E+371
dece669 apply   9E+370                  -> #43fc00000000001a Clamped
dece670 apply   #43fc00000000001a       -> 9.0E+370
dece671 apply   9E+369                  -> #43fc000000000009
dece672 apply   #43fc000000000009       -> 9E+369
dece673 apply   9E+368                  -> #43f8000000000009
dece674 apply   #43f8000000000009       -> 9E+368


-- Selected DPD codes
dece700 apply   #2238000000000000       -> 0
dece701 apply   #2238000000000009       -> 9
dece702 apply   #2238000000000010       -> 10
dece703 apply   #2238000000000019       -> 19
dece704 apply   #2238000000000020       -> 20
dece705 apply   #2238000000000029       -> 29
dece706 apply   #2238000000000030       -> 30
dece707 apply   #2238000000000039       -> 39
dece708 apply   #2238000000000040       -> 40
dece709 apply   #2238000000000049       -> 49
dece710 apply   #2238000000000050       -> 50
dece711 apply   #2238000000000059       -> 59
dece712 apply   #2238000000000060       -> 60
dece713 apply   #2238000000000069       -> 69
dece714 apply   #2238000000000070       -> 70
dece715 apply   #2238000000000071       -> 71
dece716 apply   #2238000000000072       -> 72
dece717 apply   #2238000000000073       -> 73
dece718 apply   #2238000000000074       -> 74
dece719 apply   #2238000000000075       -> 75
dece720 apply   #2238000000000076       -> 76
dece721 apply   #2238000000000077       -> 77
dece722 apply   #2238000000000078       -> 78
dece723 apply   #2238000000000079       -> 79

dece730 apply   #223800000000029e       -> 994
dece731 apply   #223800000000029f       -> 995
dece732 apply   #22380000000002a0       -> 520
dece733 apply   #22380000000002a1       -> 521

-- DPD: one of each of the huffman groups
dece740 apply   #22380000000003f7       -> 777
dece741 apply   #22380000000003f8       -> 778
dece742 apply   #22380000000003eb       -> 787
dece743 apply   #223800000000037d       -> 877
dece744 apply   #223800000000039f       -> 997
dece745 apply   #22380000000003bf       -> 979
dece746 apply   #22380000000003df       -> 799
dece747 apply   #223800000000006e       -> 888


-- DPD all-highs cases (includes the 24 redundant codes)
dece750 apply   #223800000000006e       -> 888
dece751 apply   #223800000000016e       -> 888
dece752 apply   #223800000000026e       -> 888
dece753 apply   #223800000000036e       -> 888
dece754 apply   #223800000000006f       -> 889
dece755 apply   #223800000000016f       -> 889
dece756 apply   #223800000000026f       -> 889
dece757 apply   #223800000000036f       -> 889

dece760 apply   #223800000000007e       -> 898
dece761 apply   #223800000000017e       -> 898
dece762 apply   #223800000000027e       -> 898
dece763 apply   #223800000000037e       -> 898
dece764 apply   #223800000000007f       -> 899
dece765 apply   #223800000000017f       -> 899
dece766 apply   #223800000000027f       -> 899
dece767 apply   #223800000000037f       -> 899

dece770 apply   #22380000000000ee       -> 988
dece771 apply   #22380000000001ee       -> 988
dece772 apply   #22380000000002ee       -> 988
dece773 apply   #22380000000003ee       -> 988
dece774 apply   #22380000000000ef       -> 989
dece775 apply   #22380000000001ef       -> 989
dece776 apply   #22380000000002ef       -> 989
dece777 apply   #22380000000003ef       -> 989

dece780 apply   #22380000000000fe       -> 998
dece781 apply   #22380000000001fe       -> 998
dece782 apply   #22380000000002fe       -> 998
dece783 apply   #22380000000003fe       -> 998
dece784 apply   #22380000000000ff       -> 999
dece785 apply   #22380000000001ff       -> 999
dece786 apply   #22380000000002ff       -> 999
dece787 apply   #22380000000003ff       -> 999