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|
------------------------------------------------------------------------
-- ddEncode.decTest -- decimal eight-byte format testcases --
-- Copyright (c) IBM Corporation, 2000, 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 --
------------------------------------------------------------------------
-- [Previously called decimal64.decTest]
version: 2.57
-- 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
-- The testcases here have only exactly representable data on the
-- 'left-hand-side'; rounding from strings is tested in 'base'
-- testcase groups.
extended: 1
clamp: 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
-- derivative canonical plain strings
dece003 apply #A23c0000000003D0 -> -7.50E+3
dece004 apply -7.50E+3 -> #A23c0000000003D0
dece005 apply #A2380000000003D0 -> -750
dece006 apply -750 -> #A2380000000003D0
dece007 apply #A2340000000003D0 -> -75.0
dece008 apply -75.0 -> #A2340000000003D0
dece009 apply #A22c0000000003D0 -> -0.750
dece010 apply -0.750 -> #A22c0000000003D0
dece011 apply #A2280000000003D0 -> -0.0750
dece012 apply -0.0750 -> #A2280000000003D0
dece013 apply #A2200000000003D0 -> -0.000750
dece014 apply -0.000750 -> #A2200000000003D0
dece015 apply #A2180000000003D0 -> -0.00000750
dece016 apply -0.00000750 -> #A2180000000003D0
dece017 apply #A2140000000003D0 -> -7.50E-7
dece018 apply -7.50E-7 -> #A2140000000003D0
-- Normality
dece020 apply 1234567890123456 -> #263934b9c1e28e56
dece021 apply -1234567890123456 -> #a63934b9c1e28e56
dece022 apply 1234.567890123456 -> #260934b9c1e28e56
dece023 apply #260934b9c1e28e56 -> 1234.567890123456
dece024 apply 1111111111111111 -> #2638912449124491
dece025 apply 9999999999999999 -> #6e38ff3fcff3fcff
-- Nmax and similar
dece031 apply 9999999999999999E+369 -> #77fcff3fcff3fcff
dece032 apply 9.999999999999999E+384 -> #77fcff3fcff3fcff
dece033 apply #77fcff3fcff3fcff -> 9.999999999999999E+384
dece034 apply 1.234567890123456E+384 -> #47fd34b9c1e28e56
dece035 apply #47fd34b9c1e28e56 -> 1.234567890123456E+384
-- fold-downs (more below)
dece036 apply 1.23E+384 -> #47fd300000000000 Clamped
dece037 apply #47fd300000000000 -> 1.230000000000000E+384
decd038 apply 1E+384 -> #47fc000000000000 Clamped
decd039 apply #47fc000000000000 -> 1.000000000000000E+384
decd051 apply 12345 -> #22380000000049c5
decd052 apply #22380000000049c5 -> 12345
decd053 apply 1234 -> #2238000000000534
decd054 apply #2238000000000534 -> 1234
decd055 apply 123 -> #22380000000000a3
decd056 apply #22380000000000a3 -> 123
decd057 apply 12 -> #2238000000000012
decd058 apply #2238000000000012 -> 12
decd059 apply 1 -> #2238000000000001
decd060 apply #2238000000000001 -> 1
decd061 apply 1.23 -> #22300000000000a3
decd062 apply #22300000000000a3 -> 1.23
decd063 apply 123.45 -> #22300000000049c5
decd064 apply #22300000000049c5 -> 123.45
-- Nmin and below
decd071 apply 1E-383 -> #003c000000000001
decd072 apply #003c000000000001 -> 1E-383
decd073 apply 1.000000000000000E-383 -> #0400000000000000
decd074 apply #0400000000000000 -> 1.000000000000000E-383
decd075 apply 1.000000000000001E-383 -> #0400000000000001
decd076 apply #0400000000000001 -> 1.000000000000001E-383
decd077 apply 0.100000000000000E-383 -> #0000800000000000 Subnormal
decd078 apply #0000800000000000 -> 1.00000000000000E-384 Subnormal
decd079 apply 0.000000000000010E-383 -> #0000000000000010 Subnormal
decd080 apply #0000000000000010 -> 1.0E-397 Subnormal
decd081 apply 0.00000000000001E-383 -> #0004000000000001 Subnormal
decd082 apply #0004000000000001 -> 1E-397 Subnormal
decd083 apply 0.000000000000001E-383 -> #0000000000000001 Subnormal
decd084 apply #0000000000000001 -> 1E-398 Subnormal
-- next is smallest all-nines
decd085 apply 9999999999999999E-398 -> #6400ff3fcff3fcff
decd086 apply #6400ff3fcff3fcff -> 9.999999999999999E-383
-- and a problematic divide result
decd088 apply 1.111111111111111E-383 -> #0400912449124491
decd089 apply #0400912449124491 -> 1.111111111111111E-383
-- forties
decd090 apply 40 -> #2238000000000040
decd091 apply 39.99 -> #2230000000000cff
-- underflows cannot be tested as all LHS exact
-- Same again, negatives
-- Nmax and similar
decd122 apply -9.999999999999999E+384 -> #f7fcff3fcff3fcff
decd123 apply #f7fcff3fcff3fcff -> -9.999999999999999E+384
decd124 apply -1.234567890123456E+384 -> #c7fd34b9c1e28e56
decd125 apply #c7fd34b9c1e28e56 -> -1.234567890123456E+384
-- fold-downs (more below)
decd130 apply -1.23E+384 -> #c7fd300000000000 Clamped
decd131 apply #c7fd300000000000 -> -1.230000000000000E+384
decd132 apply -1E+384 -> #c7fc000000000000 Clamped
decd133 apply #c7fc000000000000 -> -1.000000000000000E+384
-- overflows
decd151 apply -12345 -> #a2380000000049c5
decd152 apply #a2380000000049c5 -> -12345
decd153 apply -1234 -> #a238000000000534
decd154 apply #a238000000000534 -> -1234
decd155 apply -123 -> #a2380000000000a3
decd156 apply #a2380000000000a3 -> -123
decd157 apply -12 -> #a238000000000012
decd158 apply #a238000000000012 -> -12
decd159 apply -1 -> #a238000000000001
decd160 apply #a238000000000001 -> -1
decd161 apply -1.23 -> #a2300000000000a3
decd162 apply #a2300000000000a3 -> -1.23
decd163 apply -123.45 -> #a2300000000049c5
decd164 apply #a2300000000049c5 -> -123.45
-- Nmin and below
decd171 apply -1E-383 -> #803c000000000001
decd172 apply #803c000000000001 -> -1E-383
decd173 apply -1.000000000000000E-383 -> #8400000000000000
decd174 apply #8400000000000000 -> -1.000000000000000E-383
decd175 apply -1.000000000000001E-383 -> #8400000000000001
decd176 apply #8400000000000001 -> -1.000000000000001E-383
decd177 apply -0.100000000000000E-383 -> #8000800000000000 Subnormal
decd178 apply #8000800000000000 -> -1.00000000000000E-384 Subnormal
decd179 apply -0.000000000000010E-383 -> #8000000000000010 Subnormal
decd180 apply #8000000000000010 -> -1.0E-397 Subnormal
decd181 apply -0.00000000000001E-383 -> #8004000000000001 Subnormal
decd182 apply #8004000000000001 -> -1E-397 Subnormal
decd183 apply -0.000000000000001E-383 -> #8000000000000001 Subnormal
decd184 apply #8000000000000001 -> -1E-398 Subnormal
-- next is smallest all-nines
decd185 apply -9999999999999999E-398 -> #e400ff3fcff3fcff
decd186 apply #e400ff3fcff3fcff -> -9.999999999999999E-383
-- and a tricky subnormal
decd187 apply 1.11111111111524E-384 -> #00009124491246a4 Subnormal
decd188 apply #00009124491246a4 -> 1.11111111111524E-384 Subnormal
-- near-underflows
decd189 apply -1e-398 -> #8000000000000001 Subnormal
decd190 apply -1.0e-398 -> #8000000000000001 Subnormal Rounded
-- zeros
decd401 apply 0E-500 -> #0000000000000000 Clamped
decd402 apply 0E-400 -> #0000000000000000 Clamped
decd403 apply 0E-398 -> #0000000000000000
decd404 apply #0000000000000000 -> 0E-398
decd405 apply 0.000000000000000E-383 -> #0000000000000000
decd406 apply #0000000000000000 -> 0E-398
decd407 apply 0E-2 -> #2230000000000000
decd408 apply #2230000000000000 -> 0.00
decd409 apply 0 -> #2238000000000000
decd410 apply #2238000000000000 -> 0
decd411 apply 0E+3 -> #2244000000000000
decd412 apply #2244000000000000 -> 0E+3
decd413 apply 0E+369 -> #43fc000000000000
decd414 apply #43fc000000000000 -> 0E+369
-- clamped zeros...
decd415 apply 0E+370 -> #43fc000000000000 Clamped
decd416 apply #43fc000000000000 -> 0E+369
decd417 apply 0E+384 -> #43fc000000000000 Clamped
decd418 apply #43fc000000000000 -> 0E+369
decd419 apply 0E+400 -> #43fc000000000000 Clamped
decd420 apply #43fc000000000000 -> 0E+369
decd421 apply 0E+500 -> #43fc000000000000 Clamped
decd422 apply #43fc000000000000 -> 0E+369
-- negative zeros
decd431 apply -0E-400 -> #8000000000000000 Clamped
decd432 apply -0E-400 -> #8000000000000000 Clamped
decd433 apply -0E-398 -> #8000000000000000
decd434 apply #8000000000000000 -> -0E-398
decd435 apply -0.000000000000000E-383 -> #8000000000000000
decd436 apply #8000000000000000 -> -0E-398
decd437 apply -0E-2 -> #a230000000000000
decd438 apply #a230000000000000 -> -0.00
decd439 apply -0 -> #a238000000000000
decd440 apply #a238000000000000 -> -0
decd441 apply -0E+3 -> #a244000000000000
decd442 apply #a244000000000000 -> -0E+3
decd443 apply -0E+369 -> #c3fc000000000000
decd444 apply #c3fc000000000000 -> -0E+369
-- clamped zeros...
decd445 apply -0E+370 -> #c3fc000000000000 Clamped
decd446 apply #c3fc000000000000 -> -0E+369
decd447 apply -0E+384 -> #c3fc000000000000 Clamped
decd448 apply #c3fc000000000000 -> -0E+369
decd449 apply -0E+400 -> #c3fc000000000000 Clamped
decd450 apply #c3fc000000000000 -> -0E+369
decd451 apply -0E+500 -> #c3fc000000000000 Clamped
decd452 apply #c3fc000000000000 -> -0E+369
-- exponents
decd460 apply #225c000000000007 -> 7E+9
decd461 apply 7E+9 -> #225c000000000007
decd462 apply #23c4000000000007 -> 7E+99
decd463 apply 7E+99 -> #23c4000000000007
-- Specials
decd500 apply Infinity -> #7800000000000000
decd501 apply #7878787878787878 -> #7800000000000000
decd502 apply #7800000000000000 -> Infinity
decd503 apply #7979797979797979 -> #7800000000000000
decd504 apply #7900000000000000 -> Infinity
decd505 apply #7a7a7a7a7a7a7a7a -> #7800000000000000
decd506 apply #7a00000000000000 -> Infinity
decd507 apply #7b7b7b7b7b7b7b7b -> #7800000000000000
decd508 apply #7b00000000000000 -> Infinity
decd509 apply NaN -> #7c00000000000000
decd510 apply #7c7c7c7c7c7c7c7c -> #7c007c7c7c7c7c7c
decd511 apply #7c00000000000000 -> NaN
decd512 apply #7d7d7d7d7d7d7d7d -> #7c017d7d7d7d7d7d
decd513 apply #7d00000000000000 -> NaN
decd514 apply #7e7e7e7e7e7e7e7e -> #7e007e7e7e7e7c7e
decd515 apply #7e00000000000000 -> sNaN
decd516 apply #7f7f7f7f7f7f7f7f -> #7e007f7f7f7f7c7f
decd517 apply #7f00000000000000 -> sNaN
decd518 apply #7fffffffffffffff -> sNaN999999999999999
decd519 apply #7fffffffffffffff -> #7e00ff3fcff3fcff
decd520 apply -Infinity -> #f800000000000000
decd521 apply #f878787878787878 -> #f800000000000000
decd522 apply #f800000000000000 -> -Infinity
decd523 apply #f979797979797979 -> #f800000000000000
decd524 apply #f900000000000000 -> -Infinity
decd525 apply #fa7a7a7a7a7a7a7a -> #f800000000000000
decd526 apply #fa00000000000000 -> -Infinity
decd527 apply #fb7b7b7b7b7b7b7b -> #f800000000000000
decd528 apply #fb00000000000000 -> -Infinity
decd529 apply -NaN -> #fc00000000000000
decd530 apply #fc7c7c7c7c7c7c7c -> #fc007c7c7c7c7c7c
decd531 apply #fc00000000000000 -> -NaN
decd532 apply #fd7d7d7d7d7d7d7d -> #fc017d7d7d7d7d7d
decd533 apply #fd00000000000000 -> -NaN
decd534 apply #fe7e7e7e7e7e7e7e -> #fe007e7e7e7e7c7e
decd535 apply #fe00000000000000 -> -sNaN
decd536 apply #ff7f7f7f7f7f7f7f -> #fe007f7f7f7f7c7f
decd537 apply #ff00000000000000 -> -sNaN
decd538 apply #ffffffffffffffff -> -sNaN999999999999999
decd539 apply #ffffffffffffffff -> #fe00ff3fcff3fcff
-- diagnostic NaNs
decd540 apply NaN -> #7c00000000000000
decd541 apply NaN0 -> #7c00000000000000
decd542 apply NaN1 -> #7c00000000000001
decd543 apply NaN12 -> #7c00000000000012
decd544 apply NaN79 -> #7c00000000000079
decd545 apply NaN12345 -> #7c000000000049c5
decd546 apply NaN123456 -> #7c00000000028e56
decd547 apply NaN799799 -> #7c000000000f7fdf
decd548 apply NaN799799799799799 -> #7c03dff7fdff7fdf
decd549 apply NaN999999999999999 -> #7c00ff3fcff3fcff
-- too many digits
-- fold-down full sequence
decd601 apply 1E+384 -> #47fc000000000000 Clamped
decd602 apply #47fc000000000000 -> 1.000000000000000E+384
decd603 apply 1E+383 -> #43fc800000000000 Clamped
decd604 apply #43fc800000000000 -> 1.00000000000000E+383
decd605 apply 1E+382 -> #43fc100000000000 Clamped
decd606 apply #43fc100000000000 -> 1.0000000000000E+382
decd607 apply 1E+381 -> #43fc010000000000 Clamped
decd608 apply #43fc010000000000 -> 1.000000000000E+381
decd609 apply 1E+380 -> #43fc002000000000 Clamped
decd610 apply #43fc002000000000 -> 1.00000000000E+380
decd611 apply 1E+379 -> #43fc000400000000 Clamped
decd612 apply #43fc000400000000 -> 1.0000000000E+379
decd613 apply 1E+378 -> #43fc000040000000 Clamped
decd614 apply #43fc000040000000 -> 1.000000000E+378
decd615 apply 1E+377 -> #43fc000008000000 Clamped
decd616 apply #43fc000008000000 -> 1.00000000E+377
decd617 apply 1E+376 -> #43fc000001000000 Clamped
decd618 apply #43fc000001000000 -> 1.0000000E+376
decd619 apply 1E+375 -> #43fc000000100000 Clamped
decd620 apply #43fc000000100000 -> 1.000000E+375
decd621 apply 1E+374 -> #43fc000000020000 Clamped
decd622 apply #43fc000000020000 -> 1.00000E+374
decd623 apply 1E+373 -> #43fc000000004000 Clamped
decd624 apply #43fc000000004000 -> 1.0000E+373
decd625 apply 1E+372 -> #43fc000000000400 Clamped
decd626 apply #43fc000000000400 -> 1.000E+372
decd627 apply 1E+371 -> #43fc000000000080 Clamped
decd628 apply #43fc000000000080 -> 1.00E+371
decd629 apply 1E+370 -> #43fc000000000010 Clamped
decd630 apply #43fc000000000010 -> 1.0E+370
decd631 apply 1E+369 -> #43fc000000000001
decd632 apply #43fc000000000001 -> 1E+369
decd633 apply 1E+368 -> #43f8000000000001
decd634 apply #43f8000000000001 -> 1E+368
-- same with 9s
decd641 apply 9E+384 -> #77fc000000000000 Clamped
decd642 apply #77fc000000000000 -> 9.000000000000000E+384
decd643 apply 9E+383 -> #43fc8c0000000000 Clamped
decd644 apply #43fc8c0000000000 -> 9.00000000000000E+383
decd645 apply 9E+382 -> #43fc1a0000000000 Clamped
decd646 apply #43fc1a0000000000 -> 9.0000000000000E+382
decd647 apply 9E+381 -> #43fc090000000000 Clamped
decd648 apply #43fc090000000000 -> 9.000000000000E+381
decd649 apply 9E+380 -> #43fc002300000000 Clamped
decd650 apply #43fc002300000000 -> 9.00000000000E+380
decd651 apply 9E+379 -> #43fc000680000000 Clamped
decd652 apply #43fc000680000000 -> 9.0000000000E+379
decd653 apply 9E+378 -> #43fc000240000000 Clamped
decd654 apply #43fc000240000000 -> 9.000000000E+378
decd655 apply 9E+377 -> #43fc000008c00000 Clamped
decd656 apply #43fc000008c00000 -> 9.00000000E+377
decd657 apply 9E+376 -> #43fc000001a00000 Clamped
decd658 apply #43fc000001a00000 -> 9.0000000E+376
decd659 apply 9E+375 -> #43fc000000900000 Clamped
decd660 apply #43fc000000900000 -> 9.000000E+375
decd661 apply 9E+374 -> #43fc000000023000 Clamped
decd662 apply #43fc000000023000 -> 9.00000E+374
decd663 apply 9E+373 -> #43fc000000006800 Clamped
decd664 apply #43fc000000006800 -> 9.0000E+373
decd665 apply 9E+372 -> #43fc000000002400 Clamped
decd666 apply #43fc000000002400 -> 9.000E+372
decd667 apply 9E+371 -> #43fc00000000008c Clamped
decd668 apply #43fc00000000008c -> 9.00E+371
decd669 apply 9E+370 -> #43fc00000000001a Clamped
decd670 apply #43fc00000000001a -> 9.0E+370
decd671 apply 9E+369 -> #43fc000000000009
decd672 apply #43fc000000000009 -> 9E+369
decd673 apply 9E+368 -> #43f8000000000009
decd674 apply #43f8000000000009 -> 9E+368
-- Selected DPD codes
decd700 apply #2238000000000000 -> 0
decd701 apply #2238000000000009 -> 9
decd702 apply #2238000000000010 -> 10
decd703 apply #2238000000000019 -> 19
decd704 apply #2238000000000020 -> 20
decd705 apply #2238000000000029 -> 29
decd706 apply #2238000000000030 -> 30
decd707 apply #2238000000000039 -> 39
decd708 apply #2238000000000040 -> 40
decd709 apply #2238000000000049 -> 49
decd710 apply #2238000000000050 -> 50
decd711 apply #2238000000000059 -> 59
decd712 apply #2238000000000060 -> 60
decd713 apply #2238000000000069 -> 69
decd714 apply #2238000000000070 -> 70
decd715 apply #2238000000000071 -> 71
decd716 apply #2238000000000072 -> 72
decd717 apply #2238000000000073 -> 73
decd718 apply #2238000000000074 -> 74
decd719 apply #2238000000000075 -> 75
decd720 apply #2238000000000076 -> 76
decd721 apply #2238000000000077 -> 77
decd722 apply #2238000000000078 -> 78
decd723 apply #2238000000000079 -> 79
decd725 apply #223800000000029e -> 994
decd726 apply #223800000000029f -> 995
decd727 apply #22380000000002a0 -> 520
decd728 apply #22380000000002a1 -> 521
-- from telco test data
decd730 apply #2238000000000188 -> 308
decd731 apply #22380000000001a3 -> 323
decd732 apply #223800000000002a -> 82
decd733 apply #22380000000001a9 -> 329
decd734 apply #2238000000000081 -> 101
decd735 apply #22380000000002a2 -> 522
-- DPD: one of each of the huffman groups
decd740 apply #22380000000003f7 -> 777
decd741 apply #22380000000003f8 -> 778
decd742 apply #22380000000003eb -> 787
decd743 apply #223800000000037d -> 877
decd744 apply #223800000000039f -> 997
decd745 apply #22380000000003bf -> 979
decd746 apply #22380000000003df -> 799
decd747 apply #223800000000006e -> 888
-- DPD all-highs cases (includes the 24 redundant codes)
decd750 apply #223800000000006e -> 888
decd751 apply #223800000000016e -> 888
decd752 apply #223800000000026e -> 888
decd753 apply #223800000000036e -> 888
decd754 apply #223800000000006f -> 889
decd755 apply #223800000000016f -> 889
decd756 apply #223800000000026f -> 889
decd757 apply #223800000000036f -> 889
decd760 apply #223800000000007e -> 898
decd761 apply #223800000000017e -> 898
decd762 apply #223800000000027e -> 898
decd763 apply #223800000000037e -> 898
decd764 apply #223800000000007f -> 899
decd765 apply #223800000000017f -> 899
decd766 apply #223800000000027f -> 899
decd767 apply #223800000000037f -> 899
decd770 apply #22380000000000ee -> 988
decd771 apply #22380000000001ee -> 988
decd772 apply #22380000000002ee -> 988
decd773 apply #22380000000003ee -> 988
decd774 apply #22380000000000ef -> 989
decd775 apply #22380000000001ef -> 989
decd776 apply #22380000000002ef -> 989
decd777 apply #22380000000003ef -> 989
decd780 apply #22380000000000fe -> 998
decd781 apply #22380000000001fe -> 998
decd782 apply #22380000000002fe -> 998
decd783 apply #22380000000003fe -> 998
decd784 apply #22380000000000ff -> 999
decd785 apply #22380000000001ff -> 999
decd786 apply #22380000000002ff -> 999
decd787 apply #22380000000003ff -> 999
-- values around [u]int32 edges (zeros done earlier)
decd800 apply -2147483646 -> #a23800008c78af46
decd801 apply -2147483647 -> #a23800008c78af47
decd802 apply -2147483648 -> #a23800008c78af48
decd803 apply -2147483649 -> #a23800008c78af49
decd804 apply 2147483646 -> #223800008c78af46
decd805 apply 2147483647 -> #223800008c78af47
decd806 apply 2147483648 -> #223800008c78af48
decd807 apply 2147483649 -> #223800008c78af49
decd808 apply 4294967294 -> #2238000115afb55a
decd809 apply 4294967295 -> #2238000115afb55b
decd810 apply 4294967296 -> #2238000115afb57a
decd811 apply 4294967297 -> #2238000115afb57b
decd820 apply #a23800008c78af46 -> -2147483646
decd821 apply #a23800008c78af47 -> -2147483647
decd822 apply #a23800008c78af48 -> -2147483648
decd823 apply #a23800008c78af49 -> -2147483649
decd824 apply #223800008c78af46 -> 2147483646
decd825 apply #223800008c78af47 -> 2147483647
decd826 apply #223800008c78af48 -> 2147483648
decd827 apply #223800008c78af49 -> 2147483649
decd828 apply #2238000115afb55a -> 4294967294
decd829 apply #2238000115afb55b -> 4294967295
decd830 apply #2238000115afb57a -> 4294967296
decd831 apply #2238000115afb57b -> 4294967297
-- for narrowing
decd840 apply #2870000000000000 -> 2.000000000000000E-99
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