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373 lines
16 KiB
373 lines
16 KiB
------------------------------------------------------------------------
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-- dsEncode.decTest -- decimal four-byte format testcases --
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-- Copyright (c) IBM Corporation, 2000, 2008. All rights reserved. --
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------------------------------------------------------------------------
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-- Please see the document "General Decimal Arithmetic Testcases" --
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-- at http://www2.hursley.ibm.com/decimal for the description of --
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-- these testcases. --
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-- --
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-- These testcases are experimental ('beta' versions), and they --
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-- may contain errors. They are offered on an as-is basis. In --
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-- particular, achieving the same results as the tests here is not --
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-- a guarantee that an implementation complies with any Standard --
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-- or specification. The tests are not exhaustive. --
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-- --
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-- Please send comments, suggestions, and corrections to the author: --
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-- Mike Cowlishaw, IBM Fellow --
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-- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK --
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-- mfc@uk.ibm.com --
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------------------------------------------------------------------------
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-- [Previously called decimal32.decTest]
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version: 2.59
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-- This set of tests is for the four-byte concrete representation.
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-- Its characteristics are:
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--
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-- 1 bit sign
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-- 5 bits combination field
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-- 6 bits exponent continuation
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-- 20 bits coefficient continuation
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--
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-- Total exponent length 8 bits
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-- Total coefficient length 24 bits (7 digits)
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--
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-- Elimit = 191 (maximum encoded exponent)
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-- Emax = 96 (largest exponent value)
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-- Emin = -95 (smallest exponent value)
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-- bias = 101 (subtracted from encoded exponent) = -Etiny
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-- The testcases here have only exactly representable data on the
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-- 'left-hand-side'; rounding from strings is tested in 'base'
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-- testcase groups.
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extended: 1
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clamp: 1
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precision: 7
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rounding: half_up
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maxExponent: 96
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minExponent: -95
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-- General testcases
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-- (mostly derived from the Strawman 4 document and examples)
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decs001 apply #A23003D0 -> -7.50
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decs002 apply -7.50 -> #A23003D0
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-- derivative canonical plain strings
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decs003 apply #A26003D0 -> -7.50E+3
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decs004 apply -7.50E+3 -> #A26003D0
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decs005 apply #A25003D0 -> -750
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decs006 apply -750 -> #A25003D0
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decs007 apply #A24003D0 -> -75.0
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decs008 apply -75.0 -> #A24003D0
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decs009 apply #A22003D0 -> -0.750
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decs010 apply -0.750 -> #A22003D0
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decs011 apply #A21003D0 -> -0.0750
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decs012 apply -0.0750 -> #A21003D0
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decs013 apply #A1f003D0 -> -0.000750
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decs014 apply -0.000750 -> #A1f003D0
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decs015 apply #A1d003D0 -> -0.00000750
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decs016 apply -0.00000750 -> #A1d003D0
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decs017 apply #A1c003D0 -> -7.50E-7
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decs018 apply -7.50E-7 -> #A1c003D0
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-- Normality
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decs020 apply 1234567 -> #2654d2e7
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decs021 apply -1234567 -> #a654d2e7
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decs022 apply 1111111 -> #26524491
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-- Nmax and similar
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decs031 apply 9.999999E+96 -> #77f3fcff
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decs032 apply #77f3fcff -> 9.999999E+96
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decs033 apply 1.234567E+96 -> #47f4d2e7
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decs034 apply #47f4d2e7 -> 1.234567E+96
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-- fold-downs (more below)
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decs035 apply 1.23E+96 -> #47f4c000 Clamped
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decs036 apply #47f4c000 -> 1.230000E+96
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decs037 apply 1E+96 -> #47f00000 Clamped
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decs038 apply #47f00000 -> 1.000000E+96
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decs051 apply 12345 -> #225049c5
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decs052 apply #225049c5 -> 12345
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decs053 apply 1234 -> #22500534
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decs054 apply #22500534 -> 1234
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decs055 apply 123 -> #225000a3
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decs056 apply #225000a3 -> 123
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decs057 apply 12 -> #22500012
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decs058 apply #22500012 -> 12
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decs059 apply 1 -> #22500001
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decs060 apply #22500001 -> 1
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decs061 apply 1.23 -> #223000a3
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decs062 apply #223000a3 -> 1.23
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decs063 apply 123.45 -> #223049c5
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decs064 apply #223049c5 -> 123.45
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-- Nmin and below
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decs071 apply 1E-95 -> #00600001
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decs072 apply #00600001 -> 1E-95
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decs073 apply 1.000000E-95 -> #04000000
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decs074 apply #04000000 -> 1.000000E-95
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decs075 apply 1.000001E-95 -> #04000001
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decs076 apply #04000001 -> 1.000001E-95
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decs077 apply 0.100000E-95 -> #00020000 Subnormal
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decs07x apply 1.00000E-96 -> 1.00000E-96 Subnormal
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decs078 apply #00020000 -> 1.00000E-96 Subnormal
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decs079 apply 0.000010E-95 -> #00000010 Subnormal
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decs080 apply #00000010 -> 1.0E-100 Subnormal
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decs081 apply 0.000001E-95 -> #00000001 Subnormal
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decs082 apply #00000001 -> 1E-101 Subnormal
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decs083 apply 1e-101 -> #00000001 Subnormal
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decs084 apply #00000001 -> 1E-101 Subnormal
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decs08x apply 1e-101 -> 1E-101 Subnormal
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-- underflows cannot be tested; just check edge case
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decs090 apply 1e-101 -> #00000001 Subnormal
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-- same again, negatives --
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-- Nmax and similar
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decs122 apply -9.999999E+96 -> #f7f3fcff
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decs123 apply #f7f3fcff -> -9.999999E+96
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decs124 apply -1.234567E+96 -> #c7f4d2e7
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decs125 apply #c7f4d2e7 -> -1.234567E+96
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-- fold-downs (more below)
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decs130 apply -1.23E+96 -> #c7f4c000 Clamped
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decs131 apply #c7f4c000 -> -1.230000E+96
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decs132 apply -1E+96 -> #c7f00000 Clamped
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decs133 apply #c7f00000 -> -1.000000E+96
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decs151 apply -12345 -> #a25049c5
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decs152 apply #a25049c5 -> -12345
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decs153 apply -1234 -> #a2500534
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decs154 apply #a2500534 -> -1234
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decs155 apply -123 -> #a25000a3
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decs156 apply #a25000a3 -> -123
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decs157 apply -12 -> #a2500012
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decs158 apply #a2500012 -> -12
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decs159 apply -1 -> #a2500001
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decs160 apply #a2500001 -> -1
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decs161 apply -1.23 -> #a23000a3
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decs162 apply #a23000a3 -> -1.23
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decs163 apply -123.45 -> #a23049c5
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decs164 apply #a23049c5 -> -123.45
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-- Nmin and below
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decs171 apply -1E-95 -> #80600001
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decs172 apply #80600001 -> -1E-95
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decs173 apply -1.000000E-95 -> #84000000
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decs174 apply #84000000 -> -1.000000E-95
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decs175 apply -1.000001E-95 -> #84000001
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decs176 apply #84000001 -> -1.000001E-95
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decs177 apply -0.100000E-95 -> #80020000 Subnormal
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decs178 apply #80020000 -> -1.00000E-96 Subnormal
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decs179 apply -0.000010E-95 -> #80000010 Subnormal
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decs180 apply #80000010 -> -1.0E-100 Subnormal
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decs181 apply -0.000001E-95 -> #80000001 Subnormal
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decs182 apply #80000001 -> -1E-101 Subnormal
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decs183 apply -1e-101 -> #80000001 Subnormal
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decs184 apply #80000001 -> -1E-101 Subnormal
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-- underflow edge case
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decs190 apply -1e-101 -> #80000001 Subnormal
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-- zeros
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decs400 apply 0E-400 -> #00000000 Clamped
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decs401 apply 0E-101 -> #00000000
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decs402 apply #00000000 -> 0E-101
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decs403 apply 0.000000E-95 -> #00000000
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decs404 apply #00000000 -> 0E-101
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decs405 apply 0E-2 -> #22300000
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decs406 apply #22300000 -> 0.00
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decs407 apply 0 -> #22500000
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decs408 apply #22500000 -> 0
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decs409 apply 0E+3 -> #22800000
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decs410 apply #22800000 -> 0E+3
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decs411 apply 0E+90 -> #43f00000
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decs412 apply #43f00000 -> 0E+90
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-- clamped zeros...
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decs413 apply 0E+91 -> #43f00000 Clamped
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decs414 apply #43f00000 -> 0E+90
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decs415 apply 0E+96 -> #43f00000 Clamped
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decs416 apply #43f00000 -> 0E+90
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decs417 apply 0E+400 -> #43f00000 Clamped
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decs418 apply #43f00000 -> 0E+90
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-- negative zeros
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decs420 apply -0E-400 -> #80000000 Clamped
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decs421 apply -0E-101 -> #80000000
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decs422 apply #80000000 -> -0E-101
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decs423 apply -0.000000E-95 -> #80000000
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decs424 apply #80000000 -> -0E-101
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decs425 apply -0E-2 -> #a2300000
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decs426 apply #a2300000 -> -0.00
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decs427 apply -0 -> #a2500000
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decs428 apply #a2500000 -> -0
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decs429 apply -0E+3 -> #a2800000
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decs430 apply #a2800000 -> -0E+3
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decs431 apply -0E+90 -> #c3f00000
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decs432 apply #c3f00000 -> -0E+90
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-- clamped zeros...
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decs433 apply -0E+91 -> #c3f00000 Clamped
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decs434 apply #c3f00000 -> -0E+90
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decs435 apply -0E+96 -> #c3f00000 Clamped
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decs436 apply #c3f00000 -> -0E+90
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decs437 apply -0E+400 -> #c3f00000 Clamped
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decs438 apply #c3f00000 -> -0E+90
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-- Specials
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decs500 apply Infinity -> #78000000
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decs501 apply #78787878 -> #78000000
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decs502 apply #78000000 -> Infinity
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decs503 apply #79797979 -> #78000000
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decs504 apply #79000000 -> Infinity
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decs505 apply #7a7a7a7a -> #78000000
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decs506 apply #7a000000 -> Infinity
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decs507 apply #7b7b7b7b -> #78000000
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decs508 apply #7b000000 -> Infinity
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decs509 apply #7c7c7c7c -> #7c0c7c7c
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decs510 apply NaN -> #7c000000
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decs511 apply #7c000000 -> NaN
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decs512 apply #7d7d7d7d -> #7c0d7d7d
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decs513 apply #7d000000 -> NaN
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decs514 apply #7e7e7e7e -> #7e0e7c7e
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decs515 apply #7e000000 -> sNaN
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decs516 apply #7f7f7f7f -> #7e0f7c7f
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decs517 apply #7f000000 -> sNaN
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decs518 apply #7fffffff -> sNaN999999
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decs519 apply #7fffffff -> #7e03fcff
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decs520 apply -Infinity -> #f8000000
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decs521 apply #f8787878 -> #f8000000
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decs522 apply #f8000000 -> -Infinity
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decs523 apply #f9797979 -> #f8000000
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decs524 apply #f9000000 -> -Infinity
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decs525 apply #fa7a7a7a -> #f8000000
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decs526 apply #fa000000 -> -Infinity
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decs527 apply #fb7b7b7b -> #f8000000
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decs528 apply #fb000000 -> -Infinity
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decs529 apply -NaN -> #fc000000
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decs530 apply #fc7c7c7c -> #fc0c7c7c
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decs531 apply #fc000000 -> -NaN
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decs532 apply #fd7d7d7d -> #fc0d7d7d
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decs533 apply #fd000000 -> -NaN
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decs534 apply #fe7e7e7e -> #fe0e7c7e
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decs535 apply #fe000000 -> -sNaN
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decs536 apply #ff7f7f7f -> #fe0f7c7f
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decs537 apply #ff000000 -> -sNaN
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decs538 apply #ffffffff -> -sNaN999999
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decs539 apply #ffffffff -> #fe03fcff
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-- diagnostic NaNs
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decs540 apply NaN -> #7c000000
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decs541 apply NaN0 -> #7c000000
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decs542 apply NaN1 -> #7c000001
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decs543 apply NaN12 -> #7c000012
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decs544 apply NaN79 -> #7c000079
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decs545 apply NaN12345 -> #7c0049c5
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decs546 apply NaN123456 -> #7c028e56
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decs547 apply NaN799799 -> #7c0f7fdf
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decs548 apply NaN999999 -> #7c03fcff
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-- fold-down full sequence
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decs601 apply 1E+96 -> #47f00000 Clamped
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decs602 apply #47f00000 -> 1.000000E+96
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decs603 apply 1E+95 -> #43f20000 Clamped
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decs604 apply #43f20000 -> 1.00000E+95
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decs605 apply 1E+94 -> #43f04000 Clamped
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decs606 apply #43f04000 -> 1.0000E+94
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decs607 apply 1E+93 -> #43f00400 Clamped
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decs608 apply #43f00400 -> 1.000E+93
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decs609 apply 1E+92 -> #43f00080 Clamped
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decs610 apply #43f00080 -> 1.00E+92
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decs611 apply 1E+91 -> #43f00010 Clamped
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decs612 apply #43f00010 -> 1.0E+91
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decs613 apply 1E+90 -> #43f00001
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decs614 apply #43f00001 -> 1E+90
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-- Selected DPD codes
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decs700 apply #22500000 -> 0
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decs701 apply #22500009 -> 9
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decs702 apply #22500010 -> 10
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decs703 apply #22500019 -> 19
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decs704 apply #22500020 -> 20
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decs705 apply #22500029 -> 29
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decs706 apply #22500030 -> 30
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decs707 apply #22500039 -> 39
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decs708 apply #22500040 -> 40
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decs709 apply #22500049 -> 49
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decs710 apply #22500050 -> 50
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decs711 apply #22500059 -> 59
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decs712 apply #22500060 -> 60
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decs713 apply #22500069 -> 69
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decs714 apply #22500070 -> 70
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decs715 apply #22500071 -> 71
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decs716 apply #22500072 -> 72
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decs717 apply #22500073 -> 73
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decs718 apply #22500074 -> 74
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decs719 apply #22500075 -> 75
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decs720 apply #22500076 -> 76
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decs721 apply #22500077 -> 77
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decs722 apply #22500078 -> 78
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decs723 apply #22500079 -> 79
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decs730 apply #2250029e -> 994
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decs731 apply #2250029f -> 995
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decs732 apply #225002a0 -> 520
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decs733 apply #225002a1 -> 521
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-- DPD: one of each of the huffman groups
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decs740 apply #225003f7 -> 777
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decs741 apply #225003f8 -> 778
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decs742 apply #225003eb -> 787
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decs743 apply #2250037d -> 877
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decs744 apply #2250039f -> 997
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decs745 apply #225003bf -> 979
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decs746 apply #225003df -> 799
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decs747 apply #2250006e -> 888
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-- DPD all-highs cases (includes the 24 redundant codes)
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decs750 apply #2250006e -> 888
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decs751 apply #2250016e -> 888
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decs752 apply #2250026e -> 888
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decs753 apply #2250036e -> 888
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decs754 apply #2250006f -> 889
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decs755 apply #2250016f -> 889
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decs756 apply #2250026f -> 889
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decs757 apply #2250036f -> 889
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decs760 apply #2250007e -> 898
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decs761 apply #2250017e -> 898
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decs762 apply #2250027e -> 898
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decs763 apply #2250037e -> 898
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decs764 apply #2250007f -> 899
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decs765 apply #2250017f -> 899
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decs766 apply #2250027f -> 899
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decs767 apply #2250037f -> 899
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decs770 apply #225000ee -> 988
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decs771 apply #225001ee -> 988
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decs772 apply #225002ee -> 988
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decs773 apply #225003ee -> 988
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decs774 apply #225000ef -> 989
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decs775 apply #225001ef -> 989
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decs776 apply #225002ef -> 989
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decs777 apply #225003ef -> 989
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decs780 apply #225000fe -> 998
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decs781 apply #225001fe -> 998
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decs782 apply #225002fe -> 998
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decs783 apply #225003fe -> 998
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decs784 apply #225000ff -> 999
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decs785 apply #225001ff -> 999
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decs786 apply #225002ff -> 999
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decs787 apply #225003ff -> 999
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-- narrowing case
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decs790 apply 2.00E-99 -> #00000100 Subnormal
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decs791 apply #00000100 -> 2.00E-99 Subnormal
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