445 lines
22 KiB
Plaintext
445 lines
22 KiB
Plaintext
------------------------------------------------------------------------
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-- decimal64.decTest -- decimal eight-byte format testcases --
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-- Copyright (c) IBM Corporation, 2000, 2003. 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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version: 2.39
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-- This set of tests is for the eight-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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-- 8 bits exponent continuation
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-- 50 bits coefficient continuation
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--
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-- Total exponent length 10 bits
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-- Total coefficient length 54 bits (16 digits)
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--
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-- Elimit = 767 (maximum encoded exponent)
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-- Emax = 384 (largest exponent value)
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-- Emin = -383 (smallest exponent value)
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-- bias = 398 (subtracted from encoded exponent) = -Etiny
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extended: 1
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precision: 16
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rounding: half_up
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maxExponent: 384
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minExponent: -383
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-- General testcases
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-- (mostly derived from the Strawman 4 document and examples)
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dece001 apply #A2300000000003D0 -> -7.50
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dece002 apply -7.50 -> #A2300000000003D0
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-- Normality
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dece010 apply 1234567890123456 -> #263934b9c1e28e56
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dece011 apply 1234567890123456.0 -> #263934b9c1e28e56 Rounded
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dece012 apply 1234567890123456.1 -> #263934b9c1e28e56 Rounded Inexact
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dece013 apply -1234567890123456 -> #a63934b9c1e28e56
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dece014 apply -1234567890123456.0 -> #a63934b9c1e28e56 Rounded
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dece015 apply -1234567890123456.1 -> #a63934b9c1e28e56 Rounded Inexact
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-- Nmax and similar
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dece022 apply 9.999999999999999E+384 -> #77fcff3fcff3fcff
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dece023 apply #77fcff3fcff3fcff -> 9.999999999999999E+384
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dece024 apply 1.234567890123456E+384 -> #47fd34b9c1e28e56
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dece025 apply #47fd34b9c1e28e56 -> 1.234567890123456E+384
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-- fold-downs (more below)
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dece030 apply 1.23E+384 -> #47fd300000000000 Clamped
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dece031 apply #47fd300000000000 -> 1.230000000000000E+384
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dece032 apply 1E+384 -> #47fc000000000000 Clamped
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dece033 apply #47fc000000000000 -> 1.000000000000000E+384
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-- overflows
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maxExponent: 999 -- set high so conversion causes the overflow
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minExponent: -999
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dece040 apply 10E+384 -> #7800000000000000 Overflow Rounded Inexact
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dece041 apply 1.000000000000000E+385 -> #7800000000000000 Overflow Rounded Inexact
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maxExponent: 384
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minExponent: -383
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dece051 apply 12345 -> #22380000000049c5
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dece052 apply #22380000000049c5 -> 12345
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dece053 apply 1234 -> #2238000000000534
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dece054 apply #2238000000000534 -> 1234
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dece055 apply 123 -> #22380000000000a3
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dece056 apply #22380000000000a3 -> 123
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dece057 apply 12 -> #2238000000000012
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dece058 apply #2238000000000012 -> 12
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dece059 apply 1 -> #2238000000000001
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dece060 apply #2238000000000001 -> 1
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dece061 apply 1.23 -> #22300000000000a3
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dece062 apply #22300000000000a3 -> 1.23
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dece063 apply 123.45 -> #22300000000049c5
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dece064 apply #22300000000049c5 -> 123.45
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-- Nmin and below
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dece071 apply 1E-383 -> #003c000000000001
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dece072 apply #003c000000000001 -> 1E-383
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dece073 apply 1.000000000000000E-383 -> #0400000000000000
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dece074 apply #0400000000000000 -> 1.000000000000000E-383
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dece075 apply 1.000000000000001E-383 -> #0400000000000001
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dece076 apply #0400000000000001 -> 1.000000000000001E-383
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dece077 apply 0.100000000000000E-383 -> #0000800000000000 Subnormal
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dece078 apply #0000800000000000 -> 1.00000000000000E-384 Subnormal
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dece079 apply 0.000000000000010E-383 -> #0000000000000010 Subnormal
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dece080 apply #0000000000000010 -> 1.0E-397 Subnormal
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dece081 apply 0.00000000000001E-383 -> #0004000000000001 Subnormal
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dece082 apply #0004000000000001 -> 1E-397 Subnormal
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dece083 apply 0.000000000000001E-383 -> #0000000000000001 Subnormal
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dece084 apply #0000000000000001 -> 1E-398 Subnormal
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-- underflows
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dece090 apply 1e-398 -> #0000000000000001 Subnormal
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dece091 apply 1.9e-398 -> #0000000000000002 Subnormal Underflow Inexact Rounded
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dece092 apply 1.1e-398 -> #0000000000000001 Subnormal Underflow Inexact Rounded
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dece093 apply 1.00000000001e-398 -> #0000000000000001 Subnormal Underflow Inexact Rounded
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dece094 apply 1.00000000000001e-398 -> #0000000000000001 Subnormal Underflow Inexact Rounded
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dece095 apply 1.000000000000001e-398 -> #0000000000000001 Subnormal Underflow Inexact Rounded
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dece096 apply 0.1e-398 -> #0000000000000000 Subnormal Underflow Inexact Rounded
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dece097 apply 0.00000000001e-398 -> #0000000000000000 Subnormal Underflow Inexact Rounded
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dece098 apply 0.00000000000001e-398 -> #0000000000000000 Subnormal Underflow Inexact Rounded
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dece099 apply 0.000000000000001e-398 -> #0000000000000000 Subnormal Underflow Inexact Rounded
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-- Same again, negatives
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-- Nmax and similar
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dece122 apply -9.999999999999999E+384 -> #f7fcff3fcff3fcff
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dece123 apply #f7fcff3fcff3fcff -> -9.999999999999999E+384
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dece124 apply -1.234567890123456E+384 -> #c7fd34b9c1e28e56
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dece125 apply #c7fd34b9c1e28e56 -> -1.234567890123456E+384
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-- fold-downs (more below)
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dece130 apply -1.23E+384 -> #c7fd300000000000 Clamped
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dece131 apply #c7fd300000000000 -> -1.230000000000000E+384
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dece132 apply -1E+384 -> #c7fc000000000000 Clamped
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dece133 apply #c7fc000000000000 -> -1.000000000000000E+384
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-- overflows
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maxExponent: 999 -- set high so conversion causes the overflow
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minExponent: -999
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dece140 apply -10E+384 -> #f800000000000000 Overflow Rounded Inexact
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dece141 apply -1.000000000000000E+385 -> #f800000000000000 Overflow Rounded Inexact
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maxExponent: 384
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minExponent: -383
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dece151 apply -12345 -> #a2380000000049c5
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dece152 apply #a2380000000049c5 -> -12345
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dece153 apply -1234 -> #a238000000000534
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dece154 apply #a238000000000534 -> -1234
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dece155 apply -123 -> #a2380000000000a3
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dece156 apply #a2380000000000a3 -> -123
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dece157 apply -12 -> #a238000000000012
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dece158 apply #a238000000000012 -> -12
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dece159 apply -1 -> #a238000000000001
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dece160 apply #a238000000000001 -> -1
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dece161 apply -1.23 -> #a2300000000000a3
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dece162 apply #a2300000000000a3 -> -1.23
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dece163 apply -123.45 -> #a2300000000049c5
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dece164 apply #a2300000000049c5 -> -123.45
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-- Nmin and below
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dece171 apply -1E-383 -> #803c000000000001
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dece172 apply #803c000000000001 -> -1E-383
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dece173 apply -1.000000000000000E-383 -> #8400000000000000
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dece174 apply #8400000000000000 -> -1.000000000000000E-383
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dece175 apply -1.000000000000001E-383 -> #8400000000000001
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dece176 apply #8400000000000001 -> -1.000000000000001E-383
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dece177 apply -0.100000000000000E-383 -> #8000800000000000 Subnormal
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dece178 apply #8000800000000000 -> -1.00000000000000E-384 Subnormal
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dece179 apply -0.000000000000010E-383 -> #8000000000000010 Subnormal
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dece180 apply #8000000000000010 -> -1.0E-397 Subnormal
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dece181 apply -0.00000000000001E-383 -> #8004000000000001 Subnormal
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dece182 apply #8004000000000001 -> -1E-397 Subnormal
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dece183 apply -0.000000000000001E-383 -> #8000000000000001 Subnormal
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dece184 apply #8000000000000001 -> -1E-398 Subnormal
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-- underflows
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dece189 apply -1e-398 -> #8000000000000001 Subnormal
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dece190 apply -1.0e-398 -> #8000000000000001 Subnormal Rounded
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dece191 apply -1.9e-398 -> #8000000000000002 Subnormal Underflow Inexact Rounded
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dece192 apply -1.1e-398 -> #8000000000000001 Subnormal Underflow Inexact Rounded
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dece193 apply -1.00000000001e-398 -> #8000000000000001 Subnormal Underflow Inexact Rounded
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dece194 apply -1.00000000000001e-398 -> #8000000000000001 Subnormal Underflow Inexact Rounded
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dece195 apply -1.000000000000001e-398 -> #8000000000000001 Subnormal Underflow Inexact Rounded
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dece196 apply -0.1e-398 -> #8000000000000000 Subnormal Underflow Inexact Rounded
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dece197 apply -0.00000000001e-398 -> #8000000000000000 Subnormal Underflow Inexact Rounded
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dece198 apply -0.00000000000001e-398 -> #8000000000000000 Subnormal Underflow Inexact Rounded
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dece199 apply -0.000000000000001e-398 -> #8000000000000000 Subnormal Underflow Inexact Rounded
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-- zeros
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dece401 apply 0E-500 -> #0000000000000000 Clamped
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dece402 apply 0E-400 -> #0000000000000000 Clamped
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dece403 apply 0E-398 -> #0000000000000000
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dece404 apply #0000000000000000 -> 0E-398
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dece405 apply 0.000000000000000E-383 -> #0000000000000000
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dece406 apply #0000000000000000 -> 0E-398
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dece407 apply 0E-2 -> #2230000000000000
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dece408 apply #2230000000000000 -> 0.00
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dece409 apply 0 -> #2238000000000000
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dece410 apply #2238000000000000 -> 0
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dece411 apply 0E+3 -> #2244000000000000
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dece412 apply #2244000000000000 -> 0E+3
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dece413 apply 0E+369 -> #43fc000000000000
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dece414 apply #43fc000000000000 -> 0E+369
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-- clamped zeros...
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dece415 apply 0E+370 -> #43fc000000000000 Clamped
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dece416 apply #43fc000000000000 -> 0E+369
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dece417 apply 0E+384 -> #43fc000000000000 Clamped
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dece418 apply #43fc000000000000 -> 0E+369
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dece419 apply 0E+400 -> #43fc000000000000 Clamped
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dece420 apply #43fc000000000000 -> 0E+369
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dece421 apply 0E+500 -> #43fc000000000000 Clamped
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dece422 apply #43fc000000000000 -> 0E+369
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-- negative zeros
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dece431 apply -0E-400 -> #8000000000000000 Clamped
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dece432 apply -0E-400 -> #8000000000000000 Clamped
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dece433 apply -0E-398 -> #8000000000000000
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dece434 apply #8000000000000000 -> -0E-398
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dece435 apply -0.000000000000000E-383 -> #8000000000000000
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dece436 apply #8000000000000000 -> -0E-398
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dece437 apply -0E-2 -> #a230000000000000
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dece438 apply #a230000000000000 -> -0.00
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dece439 apply -0 -> #a238000000000000
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dece440 apply #a238000000000000 -> -0
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dece441 apply -0E+3 -> #a244000000000000
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dece442 apply #a244000000000000 -> -0E+3
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dece443 apply -0E+369 -> #c3fc000000000000
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dece444 apply #c3fc000000000000 -> -0E+369
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-- clamped zeros...
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dece445 apply -0E+370 -> #c3fc000000000000 Clamped
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dece446 apply #c3fc000000000000 -> -0E+369
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dece447 apply -0E+384 -> #c3fc000000000000 Clamped
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dece448 apply #c3fc000000000000 -> -0E+369
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dece449 apply -0E+400 -> #c3fc000000000000 Clamped
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dece450 apply #c3fc000000000000 -> -0E+369
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dece451 apply -0E+500 -> #c3fc000000000000 Clamped
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dece452 apply #c3fc000000000000 -> -0E+369
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-- Specials
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dece500 apply Infinity -> #7800000000000000
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dece501 apply #7878787878787878 -> #7800000000000000
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dece502 apply #7800000000000000 -> Infinity
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dece503 apply #7979797979797979 -> #7800000000000000
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dece504 apply #7900000000000000 -> Infinity
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dece505 apply #7a7a7a7a7a7a7a7a -> #7800000000000000
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dece506 apply #7a00000000000000 -> Infinity
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dece507 apply #7b7b7b7b7b7b7b7b -> #7800000000000000
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dece508 apply #7b00000000000000 -> Infinity
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dece509 apply NaN -> #7c00000000000000
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dece510 apply #7c7c7c7c7c7c7c7c -> #7c007c7c7c7c7c7c
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dece511 apply #7c00000000000000 -> NaN
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dece512 apply #7d7d7d7d7d7d7d7d -> #7c017d7d7d7d7d7d
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dece513 apply #7d00000000000000 -> NaN
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dece514 apply #7e7e7e7e7e7e7e7e -> #7e007e7e7e7e7c7e
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dece515 apply #7e00000000000000 -> sNaN
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dece516 apply #7f7f7f7f7f7f7f7f -> #7e007f7f7f7f7c7f
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dece517 apply #7f00000000000000 -> sNaN
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dece518 apply #7fffffffffffffff -> sNaN999999999999999
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dece519 apply #7fffffffffffffff -> #7e00ff3fcff3fcff
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dece520 apply -Infinity -> #f800000000000000
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dece521 apply #f878787878787878 -> #f800000000000000
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dece522 apply #f800000000000000 -> -Infinity
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dece523 apply #f979797979797979 -> #f800000000000000
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dece524 apply #f900000000000000 -> -Infinity
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dece525 apply #fa7a7a7a7a7a7a7a -> #f800000000000000
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dece526 apply #fa00000000000000 -> -Infinity
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dece527 apply #fb7b7b7b7b7b7b7b -> #f800000000000000
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dece528 apply #fb00000000000000 -> -Infinity
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dece529 apply -NaN -> #fc00000000000000
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dece530 apply #fc7c7c7c7c7c7c7c -> #fc007c7c7c7c7c7c
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dece531 apply #fc00000000000000 -> -NaN
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dece532 apply #fd7d7d7d7d7d7d7d -> #fc017d7d7d7d7d7d
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dece533 apply #fd00000000000000 -> -NaN
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dece534 apply #fe7e7e7e7e7e7e7e -> #fe007e7e7e7e7c7e
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dece535 apply #fe00000000000000 -> -sNaN
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dece536 apply #ff7f7f7f7f7f7f7f -> #fe007f7f7f7f7c7f
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dece537 apply #ff00000000000000 -> -sNaN
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dece538 apply #ffffffffffffffff -> -sNaN999999999999999
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dece539 apply #ffffffffffffffff -> #fe00ff3fcff3fcff
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-- diagnostic NaNs
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dece540 apply NaN -> #7c00000000000000
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dece541 apply NaN0 -> #7c00000000000000
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dece542 apply NaN1 -> #7c00000000000001
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dece543 apply NaN12 -> #7c00000000000012
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dece544 apply NaN79 -> #7c00000000000079
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dece545 apply NaN12345 -> #7c000000000049c5
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dece546 apply NaN123456 -> #7c00000000028e56
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dece547 apply NaN799799 -> #7c000000000f7fdf
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dece548 apply NaN799799799799799 -> #7c03dff7fdff7fdf
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dece549 apply NaN999999999999999 -> #7c00ff3fcff3fcff
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dece550 apply NaN1234567890123456 -> #7c00000000000000 -- too many digits
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-- fold-down full sequence
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dece601 apply 1E+384 -> #47fc000000000000 Clamped
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dece602 apply #47fc000000000000 -> 1.000000000000000E+384
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dece603 apply 1E+383 -> #43fc800000000000 Clamped
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dece604 apply #43fc800000000000 -> 1.00000000000000E+383
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dece605 apply 1E+382 -> #43fc100000000000 Clamped
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dece606 apply #43fc100000000000 -> 1.0000000000000E+382
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dece607 apply 1E+381 -> #43fc010000000000 Clamped
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dece608 apply #43fc010000000000 -> 1.000000000000E+381
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dece609 apply 1E+380 -> #43fc002000000000 Clamped
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dece610 apply #43fc002000000000 -> 1.00000000000E+380
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dece611 apply 1E+379 -> #43fc000400000000 Clamped
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dece612 apply #43fc000400000000 -> 1.0000000000E+379
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dece613 apply 1E+378 -> #43fc000040000000 Clamped
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dece614 apply #43fc000040000000 -> 1.000000000E+378
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dece615 apply 1E+377 -> #43fc000008000000 Clamped
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dece616 apply #43fc000008000000 -> 1.00000000E+377
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dece617 apply 1E+376 -> #43fc000001000000 Clamped
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dece618 apply #43fc000001000000 -> 1.0000000E+376
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dece619 apply 1E+375 -> #43fc000000100000 Clamped
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dece620 apply #43fc000000100000 -> 1.000000E+375
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dece621 apply 1E+374 -> #43fc000000020000 Clamped
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dece622 apply #43fc000000020000 -> 1.00000E+374
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dece623 apply 1E+373 -> #43fc000000004000 Clamped
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dece624 apply #43fc000000004000 -> 1.0000E+373
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dece625 apply 1E+372 -> #43fc000000000400 Clamped
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dece626 apply #43fc000000000400 -> 1.000E+372
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dece627 apply 1E+371 -> #43fc000000000080 Clamped
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dece628 apply #43fc000000000080 -> 1.00E+371
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dece629 apply 1E+370 -> #43fc000000000010 Clamped
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dece630 apply #43fc000000000010 -> 1.0E+370
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dece631 apply 1E+369 -> #43fc000000000001
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dece632 apply #43fc000000000001 -> 1E+369
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dece633 apply 1E+368 -> #43f8000000000001
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dece634 apply #43f8000000000001 -> 1E+368
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-- same with 9s
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dece641 apply 9E+384 -> #77fc000000000000 Clamped
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dece642 apply #77fc000000000000 -> 9.000000000000000E+384
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dece643 apply 9E+383 -> #43fc8c0000000000 Clamped
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dece644 apply #43fc8c0000000000 -> 9.00000000000000E+383
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dece645 apply 9E+382 -> #43fc1a0000000000 Clamped
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dece646 apply #43fc1a0000000000 -> 9.0000000000000E+382
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dece647 apply 9E+381 -> #43fc090000000000 Clamped
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dece648 apply #43fc090000000000 -> 9.000000000000E+381
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dece649 apply 9E+380 -> #43fc002300000000 Clamped
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dece650 apply #43fc002300000000 -> 9.00000000000E+380
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dece651 apply 9E+379 -> #43fc000680000000 Clamped
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dece652 apply #43fc000680000000 -> 9.0000000000E+379
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dece653 apply 9E+378 -> #43fc000240000000 Clamped
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dece654 apply #43fc000240000000 -> 9.000000000E+378
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dece655 apply 9E+377 -> #43fc000008c00000 Clamped
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dece656 apply #43fc000008c00000 -> 9.00000000E+377
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dece657 apply 9E+376 -> #43fc000001a00000 Clamped
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dece658 apply #43fc000001a00000 -> 9.0000000E+376
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dece659 apply 9E+375 -> #43fc000000900000 Clamped
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dece660 apply #43fc000000900000 -> 9.000000E+375
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dece661 apply 9E+374 -> #43fc000000023000 Clamped
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dece662 apply #43fc000000023000 -> 9.00000E+374
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dece663 apply 9E+373 -> #43fc000000006800 Clamped
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dece664 apply #43fc000000006800 -> 9.0000E+373
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dece665 apply 9E+372 -> #43fc000000002400 Clamped
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dece666 apply #43fc000000002400 -> 9.000E+372
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dece667 apply 9E+371 -> #43fc00000000008c Clamped
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dece668 apply #43fc00000000008c -> 9.00E+371
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dece669 apply 9E+370 -> #43fc00000000001a Clamped
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dece670 apply #43fc00000000001a -> 9.0E+370
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dece671 apply 9E+369 -> #43fc000000000009
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dece672 apply #43fc000000000009 -> 9E+369
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dece673 apply 9E+368 -> #43f8000000000009
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dece674 apply #43f8000000000009 -> 9E+368
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-- Selected DPD codes
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dece700 apply #2238000000000000 -> 0
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dece701 apply #2238000000000009 -> 9
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dece702 apply #2238000000000010 -> 10
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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
|
|
|