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3427 lines
187 KiB
Plaintext
3427 lines
187 KiB
Plaintext
------------------------------------------------------------------------
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-- fma.decTest -- decimal fused multiply add --
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-- Copyright (c) IBM Corporation, 1981, 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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version: 2.58
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extended: 1
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precision: 9
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rounding: half_up
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maxExponent: 384
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minexponent: -383
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-- These tests comprese three parts:
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-- 1. Sanity checks and other three-operand tests (especially those
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-- where the fused operation makes a difference)
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-- 2. Multiply tests (third operand is neutral zero [0E+emax])
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-- 3. Addition tests (first operand is 1)
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-- The multiply and addition tests are extensive because FMA may have
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-- its own dedicated multiplication or addition routine(s), and they
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-- also inherently check the left-to-right properties.
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-- Sanity checks
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fmax0001 fma 1 1 1 -> 2
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fmax0002 fma 1 1 2 -> 3
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fmax0003 fma 2 2 3 -> 7
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fmax0004 fma 9 9 9 -> 90
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fmax0005 fma -1 1 1 -> 0
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fmax0006 fma -1 1 2 -> 1
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fmax0007 fma -2 2 3 -> -1
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fmax0008 fma -9 9 9 -> -72
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fmax0011 fma 1 -1 1 -> 0
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fmax0012 fma 1 -1 2 -> 1
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fmax0013 fma 2 -2 3 -> -1
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fmax0014 fma 9 -9 9 -> -72
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fmax0015 fma 1 1 -1 -> 0
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fmax0016 fma 1 1 -2 -> -1
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fmax0017 fma 2 2 -3 -> 1
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fmax0018 fma 9 9 -9 -> 72
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fmax0019 fma 3 5 7 -> 22
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fmax0029 fma 3 -5 7 -> -8
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-- non-integer exacts
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fma0100 fma 25.2 63.6 -438 -> 1164.72
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fma0101 fma 0.301 0.380 334 -> 334.114380
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fma0102 fma 49.2 -4.8 23.3 -> -212.86
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fma0103 fma 4.22 0.079 -94.6 -> -94.26662
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fma0104 fma 903 0.797 0.887 -> 720.578
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fma0105 fma 6.13 -161 65.9 -> -921.03
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fma0106 fma 28.2 727 5.45 -> 20506.85
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fma0107 fma 4 605 688 -> 3108
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fma0108 fma 93.3 0.19 0.226 -> 17.953
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fma0109 fma 0.169 -341 5.61 -> -52.019
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fma0110 fma -72.2 30 -51.2 -> -2217.2
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fma0111 fma -0.409 13 20.4 -> 15.083
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fma0112 fma 317 77.0 19.0 -> 24428.0
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fma0113 fma 47 6.58 1.62 -> 310.88
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fma0114 fma 1.36 0.984 0.493 -> 1.83124
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fma0115 fma 72.7 274 1.56 -> 19921.36
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fma0116 fma 335 847 83 -> 283828
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fma0117 fma 666 0.247 25.4 -> 189.902
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fma0118 fma -3.87 3.06 78.0 -> 66.1578
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fma0119 fma 0.742 192 35.6 -> 178.064
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fma0120 fma -91.6 5.29 0.153 -> -484.411
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-- cases where result is different from separate multiply + add; each
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-- is preceded by the result of unfused multiply and add
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-- [this is about 20% of all similar cases in general]
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-- 888565290 1557.96930 -86087.7578 -> 1.38435735E+12
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fma0201 fma 888565290 1557.96930 -86087.7578 -> 1.38435736E+12 Inexact Rounded
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-- -85519342.9 735155419 42010431 -> -6.28700084E+16
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fma0205 fma -85519342.9 735155419 42010431 -> -6.28700083E+16 Inexact Rounded
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-- -98025.5 -294603.472 10414348.2 -> 2.88890669E+10
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fma0208 fma -98025.5 -294603.472 10414348.2 -> 2.88890670E+10 Inexact Rounded
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-- 5967627.39 83526540.6 498494.810 -> 4.98455271E+14
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fma0211 fma 5967627.39 83526540.6 498494.810 -> 4.98455272E+14 Inexact Rounded
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-- 3456.9433 874.39518 197866.615 -> 3220601.18
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fma0216 fma 3456.9433 874.39518 197866.615 -> 3220601.17 Inexact Rounded
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-- 62769.8287 2096.98927 48.420317 -> 131627705
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fma0218 fma 62769.8287 2096.98927 48.420317 -> 131627706 Inexact Rounded
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-- -68.81500 59961113.9 -8988862 -> -4.13521291E+9
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fma0219 fma -68.81500 59961113.9 -8988862 -> -4.13521292E+9 Inexact Rounded
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-- 2126341.02 63491.5152 302427455 -> 1.35307040E+11
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fma0226 fma 2126341.02 63491.5152 302427455 -> 1.35307041E+11 Inexact Rounded
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-- Infinite combinations
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fmax0800 fma Inf Inf Inf -> Infinity
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fmax0801 fma Inf Inf -Inf -> NaN Invalid_operation
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fmax0802 fma Inf -Inf Inf -> NaN Invalid_operation
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fmax0803 fma Inf -Inf -Inf -> -Infinity
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fmax0804 fma -Inf Inf Inf -> NaN Invalid_operation
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fmax0805 fma -Inf Inf -Inf -> -Infinity
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fmax0806 fma -Inf -Inf Inf -> Infinity
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fmax0807 fma -Inf -Inf -Inf -> NaN Invalid_operation
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fmax0808 fma -Inf 0 1 -> NaN Invalid_operation
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fmax0809 fma -Inf 0 NaN -> NaN Invalid_operation
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-- Triple NaN propagation
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fmax0900 fma NaN2 NaN3 NaN5 -> NaN2
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fmax0901 fma 0 NaN3 NaN5 -> NaN3
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fmax0902 fma 0 0 NaN5 -> NaN5
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-- first sNaN wins (consider qNaN from earlier sNaN being
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-- overridden by an sNaN in third operand)
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fmax0903 fma sNaN1 sNaN2 sNaN3 -> NaN1 Invalid_operation
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fmax0904 fma 0 sNaN2 sNaN3 -> NaN2 Invalid_operation
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fmax0905 fma 0 0 sNaN3 -> NaN3 Invalid_operation
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fmax0906 fma sNaN1 sNaN2 sNaN3 -> NaN1 Invalid_operation
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fmax0907 fma NaN7 sNaN2 sNaN3 -> NaN2 Invalid_operation
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fmax0908 fma NaN7 NaN5 sNaN3 -> NaN3 Invalid_operation
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-- MULTIPLICATION TESTS ------------------------------------------------
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-- sanity checks (as base, above)
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fmax2000 fma 2 2 0E+999999 -> 4
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fmax2001 fma 2 3 0E+999999 -> 6
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fmax2002 fma 5 1 0E+999999 -> 5
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fmax2003 fma 5 2 0E+999999 -> 10
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fmax2004 fma 1.20 2 0E+999999 -> 2.40
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fmax2005 fma 1.20 0 0E+999999 -> 0.00
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fmax2006 fma 1.20 -2 0E+999999 -> -2.40
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fmax2007 fma -1.20 2 0E+999999 -> -2.40
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fmax2008 fma -1.20 0 0E+999999 -> 0.00
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fmax2009 fma -1.20 -2 0E+999999 -> 2.40
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fmax2010 fma 5.09 7.1 0E+999999 -> 36.139
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fmax2011 fma 2.5 4 0E+999999 -> 10.0
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fmax2012 fma 2.50 4 0E+999999 -> 10.00
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fmax2013 fma 1.23456789 1.00000000 0E+999999 -> 1.23456789 Rounded
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fmax2014 fma 9.999999999 9.999999999 0E+999999 -> 100.000000 Inexact Rounded
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fmax2015 fma 2.50 4 0E+999999 -> 10.00
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precision: 6
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fmax2016 fma 2.50 4 0E+999999 -> 10.00
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fmax2017 fma 9.999999 9.999999 0E+999999 -> 100.000 Inexact Rounded
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fmax2018 fma 9.999999 -9.999999 0E+999999 -> -100.000 Inexact Rounded
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fmax2019 fma -9.999999 9.999999 0E+999999 -> -100.000 Inexact Rounded
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fmax2020 fma -9.999999 -9.999999 0E+999999 -> 100.000 Inexact Rounded
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-- 1999.12.21: next one is a edge case if intermediate longs are used
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precision: 15
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fmax2059 fma 999999999999 9765625 0E+999999 -> 9.76562499999023E+18 Inexact Rounded
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precision: 30
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fmax2160 fma 999999999999 9765625 0E+999999 -> 9765624999990234375
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precision: 9
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-----
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-- zeros, etc.
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fmax2021 fma 0 0 0E+999999 -> 0
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fmax2022 fma 0 -0 0E+999999 -> 0
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fmax2023 fma -0 0 0E+999999 -> 0
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fmax2024 fma -0 -0 0E+999999 -> 0
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fmax2025 fma -0.0 -0.0 0E+999999 -> 0.00
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fmax2026 fma -0.0 -0.0 0E+999999 -> 0.00
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fmax2027 fma -0.0 -0.0 0E+999999 -> 0.00
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fmax2028 fma -0.0 -0.0 0E+999999 -> 0.00
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fmax2030 fma 5.00 1E-3 0E+999999 -> 0.00500
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fmax2031 fma 00.00 0.000 0E+999999 -> 0.00000
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fmax2032 fma 00.00 0E-3 0E+999999 -> 0.00000 -- rhs is 0
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fmax2033 fma 0E-3 00.00 0E+999999 -> 0.00000 -- lhs is 0
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fmax2034 fma -5.00 1E-3 0E+999999 -> -0.00500
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fmax2035 fma -00.00 0.000 0E+999999 -> 0.00000
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fmax2036 fma -00.00 0E-3 0E+999999 -> 0.00000 -- rhs is 0
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fmax2037 fma -0E-3 00.00 0E+999999 -> 0.00000 -- lhs is 0
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fmax2038 fma 5.00 -1E-3 0E+999999 -> -0.00500
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fmax2039 fma 00.00 -0.000 0E+999999 -> 0.00000
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fmax2040 fma 00.00 -0E-3 0E+999999 -> 0.00000 -- rhs is 0
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fmax2041 fma 0E-3 -00.00 0E+999999 -> 0.00000 -- lhs is 0
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fmax2042 fma -5.00 -1E-3 0E+999999 -> 0.00500
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fmax2043 fma -00.00 -0.000 0E+999999 -> 0.00000
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fmax2044 fma -00.00 -0E-3 0E+999999 -> 0.00000 -- rhs is 0
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fmax2045 fma -0E-3 -00.00 0E+999999 -> 0.00000 -- lhs is 0
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-- examples from decarith multiply
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fmax2050 fma 1.20 3 0E+999999 -> 3.60
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fmax2051 fma 7 3 0E+999999 -> 21
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fmax2052 fma 0.9 0.8 0E+999999 -> 0.72
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fmax2053 fma 0.9 -0 0E+999999 -> 0.0
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fmax2054 fma 654321 654321 0E+999999 -> 4.28135971E+11 Inexact Rounded
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fmax2060 fma 123.45 1e7 0E+999999 -> 1.2345E+9
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fmax2061 fma 123.45 1e8 0E+999999 -> 1.2345E+10
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fmax2062 fma 123.45 1e+9 0E+999999 -> 1.2345E+11
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fmax2063 fma 123.45 1e10 0E+999999 -> 1.2345E+12
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fmax2064 fma 123.45 1e11 0E+999999 -> 1.2345E+13
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fmax2065 fma 123.45 1e12 0E+999999 -> 1.2345E+14
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fmax2066 fma 123.45 1e13 0E+999999 -> 1.2345E+15
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-- test some intermediate lengths
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precision: 9
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fmax2080 fma 0.1 123456789 0E+999999 -> 12345678.9
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fmax2081 fma 0.1 1234567891 0E+999999 -> 123456789 Inexact Rounded
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fmax2082 fma 0.1 12345678912 0E+999999 -> 1.23456789E+9 Inexact Rounded
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fmax2083 fma 0.1 12345678912345 0E+999999 -> 1.23456789E+12 Inexact Rounded
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fmax2084 fma 0.1 123456789 0E+999999 -> 12345678.9
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precision: 8
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fmax2085 fma 0.1 12345678912 0E+999999 -> 1.2345679E+9 Inexact Rounded
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fmax2086 fma 0.1 12345678912345 0E+999999 -> 1.2345679E+12 Inexact Rounded
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precision: 7
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fmax2087 fma 0.1 12345678912 0E+999999 -> 1.234568E+9 Inexact Rounded
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fmax2088 fma 0.1 12345678912345 0E+999999 -> 1.234568E+12 Inexact Rounded
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precision: 9
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fmax2090 fma 123456789 0.1 0E+999999 -> 12345678.9
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fmax2091 fma 1234567891 0.1 0E+999999 -> 123456789 Inexact Rounded
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fmax2092 fma 12345678912 0.1 0E+999999 -> 1.23456789E+9 Inexact Rounded
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fmax2093 fma 12345678912345 0.1 0E+999999 -> 1.23456789E+12 Inexact Rounded
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fmax2094 fma 123456789 0.1 0E+999999 -> 12345678.9
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precision: 8
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fmax2095 fma 12345678912 0.1 0E+999999 -> 1.2345679E+9 Inexact Rounded
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fmax2096 fma 12345678912345 0.1 0E+999999 -> 1.2345679E+12 Inexact Rounded
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precision: 7
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fmax2097 fma 12345678912 0.1 0E+999999 -> 1.234568E+9 Inexact Rounded
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fmax2098 fma 12345678912345 0.1 0E+999999 -> 1.234568E+12 Inexact Rounded
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-- test some more edge cases and carries
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maxexponent: 9999
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minexponent: -9999
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precision: 33
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fmax2101 fma 9 9 0E+999999 -> 81
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fmax2102 fma 9 90 0E+999999 -> 810
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fmax2103 fma 9 900 0E+999999 -> 8100
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fmax2104 fma 9 9000 0E+999999 -> 81000
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fmax2105 fma 9 90000 0E+999999 -> 810000
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fmax2106 fma 9 900000 0E+999999 -> 8100000
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fmax2107 fma 9 9000000 0E+999999 -> 81000000
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fmax2108 fma 9 90000000 0E+999999 -> 810000000
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fmax2109 fma 9 900000000 0E+999999 -> 8100000000
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fmax2110 fma 9 9000000000 0E+999999 -> 81000000000
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fmax2111 fma 9 90000000000 0E+999999 -> 810000000000
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fmax2112 fma 9 900000000000 0E+999999 -> 8100000000000
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fmax2113 fma 9 9000000000000 0E+999999 -> 81000000000000
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fmax2114 fma 9 90000000000000 0E+999999 -> 810000000000000
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fmax2115 fma 9 900000000000000 0E+999999 -> 8100000000000000
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fmax2116 fma 9 9000000000000000 0E+999999 -> 81000000000000000
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fmax2117 fma 9 90000000000000000 0E+999999 -> 810000000000000000
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fmax2118 fma 9 900000000000000000 0E+999999 -> 8100000000000000000
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fmax2119 fma 9 9000000000000000000 0E+999999 -> 81000000000000000000
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fmax2120 fma 9 90000000000000000000 0E+999999 -> 810000000000000000000
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fmax2121 fma 9 900000000000000000000 0E+999999 -> 8100000000000000000000
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fmax2122 fma 9 9000000000000000000000 0E+999999 -> 81000000000000000000000
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fmax2123 fma 9 90000000000000000000000 0E+999999 -> 810000000000000000000000
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-- test some more edge cases without carries
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fmax2131 fma 3 3 0E+999999 -> 9
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fmax2132 fma 3 30 0E+999999 -> 90
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fmax2133 fma 3 300 0E+999999 -> 900
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fmax2134 fma 3 3000 0E+999999 -> 9000
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fmax2135 fma 3 30000 0E+999999 -> 90000
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fmax2136 fma 3 300000 0E+999999 -> 900000
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fmax2137 fma 3 3000000 0E+999999 -> 9000000
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fmax2138 fma 3 30000000 0E+999999 -> 90000000
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fmax2139 fma 3 300000000 0E+999999 -> 900000000
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fmax2140 fma 3 3000000000 0E+999999 -> 9000000000
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fmax2141 fma 3 30000000000 0E+999999 -> 90000000000
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fmax2142 fma 3 300000000000 0E+999999 -> 900000000000
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fmax2143 fma 3 3000000000000 0E+999999 -> 9000000000000
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fmax2144 fma 3 30000000000000 0E+999999 -> 90000000000000
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fmax2145 fma 3 300000000000000 0E+999999 -> 900000000000000
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fmax2146 fma 3 3000000000000000 0E+999999 -> 9000000000000000
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fmax2147 fma 3 30000000000000000 0E+999999 -> 90000000000000000
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fmax2148 fma 3 300000000000000000 0E+999999 -> 900000000000000000
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fmax2149 fma 3 3000000000000000000 0E+999999 -> 9000000000000000000
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fmax2150 fma 3 30000000000000000000 0E+999999 -> 90000000000000000000
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fmax2151 fma 3 300000000000000000000 0E+999999 -> 900000000000000000000
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fmax2152 fma 3 3000000000000000000000 0E+999999 -> 9000000000000000000000
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fmax2153 fma 3 30000000000000000000000 0E+999999 -> 90000000000000000000000
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maxexponent: 999999
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minexponent: -999999
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precision: 9
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-- test some cases that are close to exponent overflow/underflow
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fmax2170 fma 1 9e999999 0E+999999 -> 9E+999999
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fmax2171 fma 1 9.9e999999 0E+999999 -> 9.9E+999999
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fmax2172 fma 1 9.99e999999 0E+999999 -> 9.99E+999999
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fmax2173 fma 9e999999 1 0E+999999 -> 9E+999999
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fmax2174 fma 9.9e999999 1 0E+999999 -> 9.9E+999999
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fmax2176 fma 9.99e999999 1 0E+999999 -> 9.99E+999999
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fmax2177 fma 1 9.99999e999999 0E+999999 -> 9.99999E+999999
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fmax2178 fma 9.99999e999999 1 0E+999999 -> 9.99999E+999999
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fmax2180 fma 0.1 9e-999998 0E+999999 -> 9E-999999
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fmax2181 fma 0.1 99e-999998 0E+999999 -> 9.9E-999998
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fmax2182 fma 0.1 999e-999998 0E+999999 -> 9.99E-999997
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fmax2183 fma 0.1 9e-999998 0E+999999 -> 9E-999999
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fmax2184 fma 0.1 99e-999998 0E+999999 -> 9.9E-999998
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fmax2185 fma 0.1 999e-999998 0E+999999 -> 9.99E-999997
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fmax2186 fma 0.1 999e-999997 0E+999999 -> 9.99E-999996
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fmax2187 fma 0.1 9999e-999997 0E+999999 -> 9.999E-999995
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fmax2188 fma 0.1 99999e-999997 0E+999999 -> 9.9999E-999994
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fmax2190 fma 1 9e-999998 0E+999999 -> 9E-999998
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fmax2191 fma 1 99e-999998 0E+999999 -> 9.9E-999997
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fmax2192 fma 1 999e-999998 0E+999999 -> 9.99E-999996
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fmax2193 fma 9e-999998 1 0E+999999 -> 9E-999998
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fmax2194 fma 99e-999998 1 0E+999999 -> 9.9E-999997
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fmax2195 fma 999e-999998 1 0E+999999 -> 9.99E-999996
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-- long operand triangle
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precision: 33
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fmax2246 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.290801193369671916511992830 Inexact Rounded
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precision: 32
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fmax2247 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.29080119336967191651199283 Inexact Rounded
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precision: 31
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fmax2248 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.2908011933696719165119928 Inexact Rounded
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precision: 30
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fmax2249 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.290801193369671916511993 Inexact Rounded
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precision: 29
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fmax2250 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.29080119336967191651199 Inexact Rounded
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precision: 28
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fmax2251 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.2908011933696719165120 Inexact Rounded
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|
precision: 27
|
|
fmax2252 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.290801193369671916512 Inexact Rounded
|
|
precision: 26
|
|
fmax2253 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.29080119336967191651 Inexact Rounded
|
|
precision: 25
|
|
fmax2254 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.2908011933696719165 Inexact Rounded
|
|
precision: 24
|
|
fmax2255 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.290801193369671917 Inexact Rounded
|
|
precision: 23
|
|
fmax2256 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.29080119336967192 Inexact Rounded
|
|
precision: 22
|
|
fmax2257 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.2908011933696719 Inexact Rounded
|
|
precision: 21
|
|
fmax2258 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.290801193369672 Inexact Rounded
|
|
precision: 20
|
|
fmax2259 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.29080119336967 Inexact Rounded
|
|
precision: 19
|
|
fmax2260 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.2908011933697 Inexact Rounded
|
|
precision: 18
|
|
fmax2261 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.290801193370 Inexact Rounded
|
|
precision: 17
|
|
fmax2262 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.29080119337 Inexact Rounded
|
|
precision: 16
|
|
fmax2263 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.2908011934 Inexact Rounded
|
|
precision: 15
|
|
fmax2264 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.290801193 Inexact Rounded
|
|
precision: 14
|
|
fmax2265 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.29080119 Inexact Rounded
|
|
precision: 13
|
|
fmax2266 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.2908012 Inexact Rounded
|
|
precision: 12
|
|
fmax2267 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.290801 Inexact Rounded
|
|
precision: 11
|
|
fmax2268 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.29080 Inexact Rounded
|
|
precision: 10
|
|
fmax2269 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.2908 Inexact Rounded
|
|
precision: 9
|
|
fmax2270 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.291 Inexact Rounded
|
|
precision: 8
|
|
fmax2271 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.29 Inexact Rounded
|
|
precision: 7
|
|
fmax2272 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.3 Inexact Rounded
|
|
precision: 6
|
|
fmax2273 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433 Inexact Rounded
|
|
precision: 5
|
|
fmax2274 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 1.4543E+5 Inexact Rounded
|
|
precision: 4
|
|
fmax2275 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 1.454E+5 Inexact Rounded
|
|
precision: 3
|
|
fmax2276 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 1.45E+5 Inexact Rounded
|
|
precision: 2
|
|
fmax2277 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 1.5E+5 Inexact Rounded
|
|
precision: 1
|
|
fmax2278 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 1E+5 Inexact Rounded
|
|
|
|
-- test some edge cases with exact rounding
|
|
maxexponent: 9999
|
|
minexponent: -9999
|
|
precision: 9
|
|
fmax2301 fma 9 9 0E+999999 -> 81
|
|
fmax2302 fma 9 90 0E+999999 -> 810
|
|
fmax2303 fma 9 900 0E+999999 -> 8100
|
|
fmax2304 fma 9 9000 0E+999999 -> 81000
|
|
fmax2305 fma 9 90000 0E+999999 -> 810000
|
|
fmax2306 fma 9 900000 0E+999999 -> 8100000
|
|
fmax2307 fma 9 9000000 0E+999999 -> 81000000
|
|
fmax2308 fma 9 90000000 0E+999999 -> 810000000
|
|
fmax2309 fma 9 900000000 0E+999999 -> 8.10000000E+9 Rounded
|
|
fmax2310 fma 9 9000000000 0E+999999 -> 8.10000000E+10 Rounded
|
|
fmax2311 fma 9 90000000000 0E+999999 -> 8.10000000E+11 Rounded
|
|
fmax2312 fma 9 900000000000 0E+999999 -> 8.10000000E+12 Rounded
|
|
fmax2313 fma 9 9000000000000 0E+999999 -> 8.10000000E+13 Rounded
|
|
fmax2314 fma 9 90000000000000 0E+999999 -> 8.10000000E+14 Rounded
|
|
fmax2315 fma 9 900000000000000 0E+999999 -> 8.10000000E+15 Rounded
|
|
fmax2316 fma 9 9000000000000000 0E+999999 -> 8.10000000E+16 Rounded
|
|
fmax2317 fma 9 90000000000000000 0E+999999 -> 8.10000000E+17 Rounded
|
|
fmax2318 fma 9 900000000000000000 0E+999999 -> 8.10000000E+18 Rounded
|
|
fmax2319 fma 9 9000000000000000000 0E+999999 -> 8.10000000E+19 Rounded
|
|
fmax2320 fma 9 90000000000000000000 0E+999999 -> 8.10000000E+20 Rounded
|
|
fmax2321 fma 9 900000000000000000000 0E+999999 -> 8.10000000E+21 Rounded
|
|
fmax2322 fma 9 9000000000000000000000 0E+999999 -> 8.10000000E+22 Rounded
|
|
fmax2323 fma 9 90000000000000000000000 0E+999999 -> 8.10000000E+23 Rounded
|
|
|
|
-- fastpath breakers
|
|
precision: 29
|
|
fmax2330 fma 1.491824697641270317824852952837224 1.105170918075647624811707826490246514675628614562883537345747603 0E+999999 -> 1.6487212707001281468486507878 Inexact Rounded
|
|
precision: 55
|
|
fmax2331 fma 0.8958341352965282506768545828765117803873717284891040428 0.8958341352965282506768545828765117803873717284891040428 0E+999999 -> 0.8025187979624784829842553829934069955890983696752228299 Inexact Rounded
|
|
|
|
|
|
-- tryzeros cases
|
|
precision: 7
|
|
rounding: half_up
|
|
maxExponent: 92
|
|
minexponent: -92
|
|
fmax2504 fma 0E-60 1000E-60 0E+999999 -> 0E-98 Clamped
|
|
fmax2505 fma 100E+60 0E+60 0E+999999 -> 0E+92 Clamped
|
|
|
|
-- mixed with zeros
|
|
maxexponent: 999999
|
|
minexponent: -999999
|
|
precision: 9
|
|
fmax2541 fma 0 -1 0E+999999 -> 0
|
|
fmax2542 fma -0 -1 0E+999999 -> 0
|
|
fmax2543 fma 0 1 0E+999999 -> 0
|
|
fmax2544 fma -0 1 0E+999999 -> 0
|
|
fmax2545 fma -1 0 0E+999999 -> 0
|
|
fmax2546 fma -1 -0 0E+999999 -> 0
|
|
fmax2547 fma 1 0 0E+999999 -> 0
|
|
fmax2548 fma 1 -0 0E+999999 -> 0
|
|
|
|
fmax2551 fma 0.0 -1 0E+999999 -> 0.0
|
|
fmax2552 fma -0.0 -1 0E+999999 -> 0.0
|
|
fmax2553 fma 0.0 1 0E+999999 -> 0.0
|
|
fmax2554 fma -0.0 1 0E+999999 -> 0.0
|
|
fmax2555 fma -1.0 0 0E+999999 -> 0.0
|
|
fmax2556 fma -1.0 -0 0E+999999 -> 0.0
|
|
fmax2557 fma 1.0 0 0E+999999 -> 0.0
|
|
fmax2558 fma 1.0 -0 0E+999999 -> 0.0
|
|
|
|
fmax2561 fma 0 -1.0 0E+999999 -> 0.0
|
|
fmax2562 fma -0 -1.0 0E+999999 -> 0.0
|
|
fmax2563 fma 0 1.0 0E+999999 -> 0.0
|
|
fmax2564 fma -0 1.0 0E+999999 -> 0.0
|
|
fmax2565 fma -1 0.0 0E+999999 -> 0.0
|
|
fmax2566 fma -1 -0.0 0E+999999 -> 0.0
|
|
fmax2567 fma 1 0.0 0E+999999 -> 0.0
|
|
fmax2568 fma 1 -0.0 0E+999999 -> 0.0
|
|
|
|
fmax2571 fma 0.0 -1.0 0E+999999 -> 0.00
|
|
fmax2572 fma -0.0 -1.0 0E+999999 -> 0.00
|
|
fmax2573 fma 0.0 1.0 0E+999999 -> 0.00
|
|
fmax2574 fma -0.0 1.0 0E+999999 -> 0.00
|
|
fmax2575 fma -1.0 0.0 0E+999999 -> 0.00
|
|
fmax2576 fma -1.0 -0.0 0E+999999 -> 0.00
|
|
fmax2577 fma 1.0 0.0 0E+999999 -> 0.00
|
|
fmax2578 fma 1.0 -0.0 0E+999999 -> 0.00
|
|
|
|
|
|
-- Specials
|
|
fmax2580 fma Inf -Inf 0E+999999 -> -Infinity
|
|
fmax2581 fma Inf -1000 0E+999999 -> -Infinity
|
|
fmax2582 fma Inf -1 0E+999999 -> -Infinity
|
|
fmax2583 fma Inf -0 0E+999999 -> NaN Invalid_operation
|
|
fmax2584 fma Inf 0 0E+999999 -> NaN Invalid_operation
|
|
fmax2585 fma Inf 1 0E+999999 -> Infinity
|
|
fmax2586 fma Inf 1000 0E+999999 -> Infinity
|
|
fmax2587 fma Inf Inf 0E+999999 -> Infinity
|
|
fmax2588 fma -1000 Inf 0E+999999 -> -Infinity
|
|
fmax2589 fma -Inf Inf 0E+999999 -> -Infinity
|
|
fmax2590 fma -1 Inf 0E+999999 -> -Infinity
|
|
fmax2591 fma -0 Inf 0E+999999 -> NaN Invalid_operation
|
|
fmax2592 fma 0 Inf 0E+999999 -> NaN Invalid_operation
|
|
fmax2593 fma 1 Inf 0E+999999 -> Infinity
|
|
fmax2594 fma 1000 Inf 0E+999999 -> Infinity
|
|
fmax2595 fma Inf Inf 0E+999999 -> Infinity
|
|
|
|
fmax2600 fma -Inf -Inf 0E+999999 -> Infinity
|
|
fmax2601 fma -Inf -1000 0E+999999 -> Infinity
|
|
fmax2602 fma -Inf -1 0E+999999 -> Infinity
|
|
fmax2603 fma -Inf -0 0E+999999 -> NaN Invalid_operation
|
|
fmax2604 fma -Inf 0 0E+999999 -> NaN Invalid_operation
|
|
fmax2605 fma -Inf 1 0E+999999 -> -Infinity
|
|
fmax2606 fma -Inf 1000 0E+999999 -> -Infinity
|
|
fmax2607 fma -Inf Inf 0E+999999 -> -Infinity
|
|
fmax2608 fma -1000 Inf 0E+999999 -> -Infinity
|
|
fmax2609 fma -Inf -Inf 0E+999999 -> Infinity
|
|
fmax2610 fma -1 -Inf 0E+999999 -> Infinity
|
|
fmax2611 fma -0 -Inf 0E+999999 -> NaN Invalid_operation
|
|
fmax2612 fma 0 -Inf 0E+999999 -> NaN Invalid_operation
|
|
fmax2613 fma 1 -Inf 0E+999999 -> -Infinity
|
|
fmax2614 fma 1000 -Inf 0E+999999 -> -Infinity
|
|
fmax2615 fma Inf -Inf 0E+999999 -> -Infinity
|
|
|
|
fmax2621 fma NaN -Inf 0E+999999 -> NaN
|
|
fmax2622 fma NaN -1000 0E+999999 -> NaN
|
|
fmax2623 fma NaN -1 0E+999999 -> NaN
|
|
fmax2624 fma NaN -0 0E+999999 -> NaN
|
|
fmax2625 fma NaN 0 0E+999999 -> NaN
|
|
fmax2626 fma NaN 1 0E+999999 -> NaN
|
|
fmax2627 fma NaN 1000 0E+999999 -> NaN
|
|
fmax2628 fma NaN Inf 0E+999999 -> NaN
|
|
fmax2629 fma NaN NaN 0E+999999 -> NaN
|
|
fmax2630 fma -Inf NaN 0E+999999 -> NaN
|
|
fmax2631 fma -1000 NaN 0E+999999 -> NaN
|
|
fmax2632 fma -1 NaN 0E+999999 -> NaN
|
|
fmax2633 fma -0 NaN 0E+999999 -> NaN
|
|
fmax2634 fma 0 NaN 0E+999999 -> NaN
|
|
fmax2635 fma 1 NaN 0E+999999 -> NaN
|
|
fmax2636 fma 1000 NaN 0E+999999 -> NaN
|
|
fmax2637 fma Inf NaN 0E+999999 -> NaN
|
|
|
|
fmax2641 fma sNaN -Inf 0E+999999 -> NaN Invalid_operation
|
|
fmax2642 fma sNaN -1000 0E+999999 -> NaN Invalid_operation
|
|
fmax2643 fma sNaN -1 0E+999999 -> NaN Invalid_operation
|
|
fmax2644 fma sNaN -0 0E+999999 -> NaN Invalid_operation
|
|
fmax2645 fma sNaN 0 0E+999999 -> NaN Invalid_operation
|
|
fmax2646 fma sNaN 1 0E+999999 -> NaN Invalid_operation
|
|
fmax2647 fma sNaN 1000 0E+999999 -> NaN Invalid_operation
|
|
fmax2648 fma sNaN NaN 0E+999999 -> NaN Invalid_operation
|
|
fmax2649 fma sNaN sNaN 0E+999999 -> NaN Invalid_operation
|
|
fmax2650 fma NaN sNaN 0E+999999 -> NaN Invalid_operation
|
|
fmax2651 fma -Inf sNaN 0E+999999 -> NaN Invalid_operation
|
|
fmax2652 fma -1000 sNaN 0E+999999 -> NaN Invalid_operation
|
|
fmax2653 fma -1 sNaN 0E+999999 -> NaN Invalid_operation
|
|
fmax2654 fma -0 sNaN 0E+999999 -> NaN Invalid_operation
|
|
fmax2655 fma 0 sNaN 0E+999999 -> NaN Invalid_operation
|
|
fmax2656 fma 1 sNaN 0E+999999 -> NaN Invalid_operation
|
|
fmax2657 fma 1000 sNaN 0E+999999 -> NaN Invalid_operation
|
|
fmax2658 fma Inf sNaN 0E+999999 -> NaN Invalid_operation
|
|
fmax2659 fma NaN sNaN 0E+999999 -> NaN Invalid_operation
|
|
|
|
-- propagating NaNs
|
|
fmax2661 fma NaN9 -Inf 0E+999999 -> NaN9
|
|
fmax2662 fma NaN8 999 0E+999999 -> NaN8
|
|
fmax2663 fma NaN71 Inf 0E+999999 -> NaN71
|
|
fmax2664 fma NaN6 NaN5 0E+999999 -> NaN6
|
|
fmax2665 fma -Inf NaN4 0E+999999 -> NaN4
|
|
fmax2666 fma -999 NaN33 0E+999999 -> NaN33
|
|
fmax2667 fma Inf NaN2 0E+999999 -> NaN2
|
|
|
|
fmax2671 fma sNaN99 -Inf 0E+999999 -> NaN99 Invalid_operation
|
|
fmax2672 fma sNaN98 -11 0E+999999 -> NaN98 Invalid_operation
|
|
fmax2673 fma sNaN97 NaN 0E+999999 -> NaN97 Invalid_operation
|
|
fmax2674 fma sNaN16 sNaN94 0E+999999 -> NaN16 Invalid_operation
|
|
fmax2675 fma NaN95 sNaN93 0E+999999 -> NaN93 Invalid_operation
|
|
fmax2676 fma -Inf sNaN92 0E+999999 -> NaN92 Invalid_operation
|
|
fmax2677 fma 088 sNaN91 0E+999999 -> NaN91 Invalid_operation
|
|
fmax2678 fma Inf sNaN90 0E+999999 -> NaN90 Invalid_operation
|
|
fmax2679 fma NaN sNaN89 0E+999999 -> NaN89 Invalid_operation
|
|
|
|
fmax2681 fma -NaN9 -Inf 0E+999999 -> -NaN9
|
|
fmax2682 fma -NaN8 999 0E+999999 -> -NaN8
|
|
fmax2683 fma -NaN71 Inf 0E+999999 -> -NaN71
|
|
fmax2684 fma -NaN6 -NaN5 0E+999999 -> -NaN6
|
|
fmax2685 fma -Inf -NaN4 0E+999999 -> -NaN4
|
|
fmax2686 fma -999 -NaN33 0E+999999 -> -NaN33
|
|
fmax2687 fma Inf -NaN2 0E+999999 -> -NaN2
|
|
|
|
fmax2691 fma -sNaN99 -Inf 0E+999999 -> -NaN99 Invalid_operation
|
|
fmax2692 fma -sNaN98 -11 0E+999999 -> -NaN98 Invalid_operation
|
|
fmax2693 fma -sNaN97 NaN 0E+999999 -> -NaN97 Invalid_operation
|
|
fmax2694 fma -sNaN16 -sNaN94 0E+999999 -> -NaN16 Invalid_operation
|
|
fmax2695 fma -NaN95 -sNaN93 0E+999999 -> -NaN93 Invalid_operation
|
|
fmax2696 fma -Inf -sNaN92 0E+999999 -> -NaN92 Invalid_operation
|
|
fmax2697 fma 088 -sNaN91 0E+999999 -> -NaN91 Invalid_operation
|
|
fmax2698 fma Inf -sNaN90 0E+999999 -> -NaN90 Invalid_operation
|
|
fmax2699 fma -NaN -sNaN89 0E+999999 -> -NaN89 Invalid_operation
|
|
|
|
fmax2701 fma -NaN -Inf 0E+999999 -> -NaN
|
|
fmax2702 fma -NaN 999 0E+999999 -> -NaN
|
|
fmax2703 fma -NaN Inf 0E+999999 -> -NaN
|
|
fmax2704 fma -NaN -NaN 0E+999999 -> -NaN
|
|
fmax2705 fma -Inf -NaN0 0E+999999 -> -NaN
|
|
fmax2706 fma -999 -NaN 0E+999999 -> -NaN
|
|
fmax2707 fma Inf -NaN 0E+999999 -> -NaN
|
|
|
|
fmax2711 fma -sNaN -Inf 0E+999999 -> -NaN Invalid_operation
|
|
fmax2712 fma -sNaN -11 0E+999999 -> -NaN Invalid_operation
|
|
fmax2713 fma -sNaN00 NaN 0E+999999 -> -NaN Invalid_operation
|
|
fmax2714 fma -sNaN -sNaN 0E+999999 -> -NaN Invalid_operation
|
|
fmax2715 fma -NaN -sNaN 0E+999999 -> -NaN Invalid_operation
|
|
fmax2716 fma -Inf -sNaN 0E+999999 -> -NaN Invalid_operation
|
|
fmax2717 fma 088 -sNaN 0E+999999 -> -NaN Invalid_operation
|
|
fmax2718 fma Inf -sNaN 0E+999999 -> -NaN Invalid_operation
|
|
fmax2719 fma -NaN -sNaN 0E+999999 -> -NaN Invalid_operation
|
|
|
|
-- overflow and underflow tests .. note subnormal results
|
|
maxexponent: 999999
|
|
minexponent: -999999
|
|
fmax2730 fma +1.23456789012345E-0 9E+999999 0E+999999 -> Infinity Inexact Overflow Rounded
|
|
fmax2731 fma 9E+999999 +1.23456789012345E-0 0E+999999 -> Infinity Inexact Overflow Rounded
|
|
fmax2732 fma +0.100 9E-999999 0E+999999 -> 9.00E-1000000 Subnormal
|
|
fmax2733 fma 9E-999999 +0.100 0E+999999 -> 9.00E-1000000 Subnormal
|
|
fmax2735 fma -1.23456789012345E-0 9E+999999 0E+999999 -> -Infinity Inexact Overflow Rounded
|
|
fmax2736 fma 9E+999999 -1.23456789012345E-0 0E+999999 -> -Infinity Inexact Overflow Rounded
|
|
fmax2737 fma -0.100 9E-999999 0E+999999 -> -9.00E-1000000 Subnormal
|
|
fmax2738 fma 9E-999999 -0.100 0E+999999 -> -9.00E-1000000 Subnormal
|
|
|
|
-- signs
|
|
fmax2751 fma 1e+777777 1e+411111 0E+999999 -> Infinity Overflow Inexact Rounded
|
|
fmax2752 fma 1e+777777 -1e+411111 0E+999999 -> -Infinity Overflow Inexact Rounded
|
|
fmax2753 fma -1e+777777 1e+411111 0E+999999 -> -Infinity Overflow Inexact Rounded
|
|
fmax2754 fma -1e+777777 -1e+411111 0E+999999 -> Infinity Overflow Inexact Rounded
|
|
fmax2755 fma 1e-777777 1e-411111 0E+999999 -> 0E-1000007 Underflow Subnormal Inexact Rounded Clamped
|
|
fmax2756 fma 1e-777777 -1e-411111 0E+999999 -> -0E-1000007 Underflow Subnormal Inexact Rounded Clamped
|
|
fmax2757 fma -1e-777777 1e-411111 0E+999999 -> -0E-1000007 Underflow Subnormal Inexact Rounded Clamped
|
|
fmax2758 fma -1e-777777 -1e-411111 0E+999999 -> 0E-1000007 Underflow Subnormal Inexact Rounded Clamped
|
|
|
|
-- 'subnormal' boundary (all hard underflow or overflow in base arithemtic)
|
|
precision: 9
|
|
fmax2760 fma 1e-600000 1e-400001 0E+999999 -> 1E-1000001 Subnormal
|
|
fmax2761 fma 1e-600000 1e-400002 0E+999999 -> 1E-1000002 Subnormal
|
|
fmax2762 fma 1e-600000 1e-400003 0E+999999 -> 1E-1000003 Subnormal
|
|
fmax2763 fma 1e-600000 1e-400004 0E+999999 -> 1E-1000004 Subnormal
|
|
fmax2764 fma 1e-600000 1e-400005 0E+999999 -> 1E-1000005 Subnormal
|
|
fmax2765 fma 1e-600000 1e-400006 0E+999999 -> 1E-1000006 Subnormal
|
|
fmax2766 fma 1e-600000 1e-400007 0E+999999 -> 1E-1000007 Subnormal
|
|
fmax2767 fma 1e-600000 1e-400008 0E+999999 -> 0E-1000007 Underflow Subnormal Inexact Rounded Clamped
|
|
fmax2768 fma 1e-600000 1e-400009 0E+999999 -> 0E-1000007 Underflow Subnormal Inexact Rounded Clamped
|
|
fmax2769 fma 1e-600000 1e-400010 0E+999999 -> 0E-1000007 Underflow Subnormal Inexact Rounded Clamped
|
|
-- [no equivalent of 'subnormal' for overflow]
|
|
fmax2770 fma 1e+600000 1e+400001 0E+999999 -> Infinity Overflow Inexact Rounded
|
|
fmax2771 fma 1e+600000 1e+400002 0E+999999 -> Infinity Overflow Inexact Rounded
|
|
fmax2772 fma 1e+600000 1e+400003 0E+999999 -> Infinity Overflow Inexact Rounded
|
|
fmax2773 fma 1e+600000 1e+400004 0E+999999 -> Infinity Overflow Inexact Rounded
|
|
fmax2774 fma 1e+600000 1e+400005 0E+999999 -> Infinity Overflow Inexact Rounded
|
|
fmax2775 fma 1e+600000 1e+400006 0E+999999 -> Infinity Overflow Inexact Rounded
|
|
fmax2776 fma 1e+600000 1e+400007 0E+999999 -> Infinity Overflow Inexact Rounded
|
|
fmax2777 fma 1e+600000 1e+400008 0E+999999 -> Infinity Overflow Inexact Rounded
|
|
fmax2778 fma 1e+600000 1e+400009 0E+999999 -> Infinity Overflow Inexact Rounded
|
|
fmax2779 fma 1e+600000 1e+400010 0E+999999 -> Infinity Overflow Inexact Rounded
|
|
|
|
-- 'subnormal' test edge condition at higher precisions
|
|
precision: 99
|
|
fmax2780 fma 1e-600000 1e-400007 0E+999999 -> 1E-1000007 Subnormal
|
|
fmax2781 fma 1e-600000 1e-400008 0E+999999 -> 1E-1000008 Subnormal
|
|
fmax2782 fma 1e-600000 1e-400097 0E+999999 -> 1E-1000097 Subnormal
|
|
fmax2783 fma 1e-600000 1e-400098 0E+999999 -> 0E-1000097 Underflow Subnormal Inexact Rounded Clamped
|
|
precision: 999
|
|
fmax2784 fma 1e-600000 1e-400997 0E+999999 -> 1E-1000997 Subnormal
|
|
fmax2785 fma 1e-600000 1e-400998 0E+999999 -> 0E-1000997 Underflow Subnormal Inexact Rounded Clamped
|
|
|
|
-- test subnormals rounding
|
|
precision: 5
|
|
maxExponent: 999
|
|
minexponent: -999
|
|
rounding: half_even
|
|
|
|
fmax2801 fma 1.0000E-999 1 0E+999999 -> 1.0000E-999
|
|
fmax2802 fma 1.000E-999 1e-1 0E+999999 -> 1.000E-1000 Subnormal
|
|
fmax2803 fma 1.00E-999 1e-2 0E+999999 -> 1.00E-1001 Subnormal
|
|
fmax2804 fma 1.0E-999 1e-3 0E+999999 -> 1.0E-1002 Subnormal
|
|
fmax2805 fma 1.0E-999 1e-4 0E+999999 -> 1E-1003 Subnormal Rounded
|
|
fmax2806 fma 1.3E-999 1e-4 0E+999999 -> 1E-1003 Underflow Subnormal Inexact Rounded
|
|
fmax2807 fma 1.5E-999 1e-4 0E+999999 -> 2E-1003 Underflow Subnormal Inexact Rounded
|
|
fmax2808 fma 1.7E-999 1e-4 0E+999999 -> 2E-1003 Underflow Subnormal Inexact Rounded
|
|
fmax2809 fma 2.3E-999 1e-4 0E+999999 -> 2E-1003 Underflow Subnormal Inexact Rounded
|
|
fmax2810 fma 2.5E-999 1e-4 0E+999999 -> 2E-1003 Underflow Subnormal Inexact Rounded
|
|
fmax2811 fma 2.7E-999 1e-4 0E+999999 -> 3E-1003 Underflow Subnormal Inexact Rounded
|
|
fmax2812 fma 1.49E-999 1e-4 0E+999999 -> 1E-1003 Underflow Subnormal Inexact Rounded
|
|
fmax2813 fma 1.50E-999 1e-4 0E+999999 -> 2E-1003 Underflow Subnormal Inexact Rounded
|
|
fmax2814 fma 1.51E-999 1e-4 0E+999999 -> 2E-1003 Underflow Subnormal Inexact Rounded
|
|
fmax2815 fma 2.49E-999 1e-4 0E+999999 -> 2E-1003 Underflow Subnormal Inexact Rounded
|
|
fmax2816 fma 2.50E-999 1e-4 0E+999999 -> 2E-1003 Underflow Subnormal Inexact Rounded
|
|
fmax2817 fma 2.51E-999 1e-4 0E+999999 -> 3E-1003 Underflow Subnormal Inexact Rounded
|
|
|
|
fmax2818 fma 1E-999 1e-4 0E+999999 -> 1E-1003 Subnormal
|
|
fmax2819 fma 3E-999 1e-5 0E+999999 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped
|
|
fmax2820 fma 5E-999 1e-5 0E+999999 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped
|
|
fmax2821 fma 7E-999 1e-5 0E+999999 -> 1E-1003 Underflow Subnormal Inexact Rounded
|
|
fmax2822 fma 9E-999 1e-5 0E+999999 -> 1E-1003 Underflow Subnormal Inexact Rounded
|
|
fmax2823 fma 9.9E-999 1e-5 0E+999999 -> 1E-1003 Underflow Subnormal Inexact Rounded
|
|
|
|
fmax2824 fma 1E-999 -1e-4 0E+999999 -> -1E-1003 Subnormal
|
|
fmax2825 fma 3E-999 -1e-5 0E+999999 -> -0E-1003 Underflow Subnormal Inexact Rounded Clamped
|
|
fmax2826 fma -5E-999 1e-5 0E+999999 -> -0E-1003 Underflow Subnormal Inexact Rounded Clamped
|
|
fmax2827 fma 7E-999 -1e-5 0E+999999 -> -1E-1003 Underflow Subnormal Inexact Rounded
|
|
fmax2828 fma -9E-999 1e-5 0E+999999 -> -1E-1003 Underflow Subnormal Inexact Rounded
|
|
fmax2829 fma 9.9E-999 -1e-5 0E+999999 -> -1E-1003 Underflow Subnormal Inexact Rounded
|
|
fmax2830 fma 3.0E-999 -1e-5 0E+999999 -> -0E-1003 Underflow Subnormal Inexact Rounded Clamped
|
|
|
|
fmax2831 fma 1.0E-501 1e-501 0E+999999 -> 1.0E-1002 Subnormal
|
|
fmax2832 fma 2.0E-501 2e-501 0E+999999 -> 4.0E-1002 Subnormal
|
|
fmax2833 fma 4.0E-501 4e-501 0E+999999 -> 1.60E-1001 Subnormal
|
|
fmax2834 fma 10.0E-501 10e-501 0E+999999 -> 1.000E-1000 Subnormal
|
|
fmax2835 fma 30.0E-501 30e-501 0E+999999 -> 9.000E-1000 Subnormal
|
|
fmax2836 fma 40.0E-501 40e-501 0E+999999 -> 1.6000E-999
|
|
|
|
-- squares
|
|
fmax2840 fma 1E-502 1e-502 0E+999999 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped
|
|
fmax2841 fma 1E-501 1e-501 0E+999999 -> 1E-1002 Subnormal
|
|
fmax2842 fma 2E-501 2e-501 0E+999999 -> 4E-1002 Subnormal
|
|
fmax2843 fma 4E-501 4e-501 0E+999999 -> 1.6E-1001 Subnormal
|
|
fmax2844 fma 10E-501 10e-501 0E+999999 -> 1.00E-1000 Subnormal
|
|
fmax2845 fma 30E-501 30e-501 0E+999999 -> 9.00E-1000 Subnormal
|
|
fmax2846 fma 40E-501 40e-501 0E+999999 -> 1.600E-999
|
|
|
|
-- cubes
|
|
fmax2850 fma 1E-670 1e-335 0E+999999 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped
|
|
fmax2851 fma 1E-668 1e-334 0E+999999 -> 1E-1002 Subnormal
|
|
fmax2852 fma 4E-668 2e-334 0E+999999 -> 8E-1002 Subnormal
|
|
fmax2853 fma 9E-668 3e-334 0E+999999 -> 2.7E-1001 Subnormal
|
|
fmax2854 fma 16E-668 4e-334 0E+999999 -> 6.4E-1001 Subnormal
|
|
fmax2855 fma 25E-668 5e-334 0E+999999 -> 1.25E-1000 Subnormal
|
|
fmax2856 fma 10E-668 100e-334 0E+999999 -> 1.000E-999
|
|
|
|
-- test derived from result of 0.099 ** 999 at 15 digits with unlimited exponent
|
|
precision: 19
|
|
fmax2860 fma 6636851557994578716E-520 6636851557994578716E-520 0E+999999 -> 4.40477986028551E-1003 Underflow Subnormal Inexact Rounded
|
|
|
|
-- Long operand overflow may be a different path
|
|
precision: 3
|
|
maxExponent: 999999
|
|
minexponent: -999999
|
|
fmax2870 fma 1 9.999E+999999 0E+999999 -> Infinity Inexact Overflow Rounded
|
|
fmax2871 fma 1 -9.999E+999999 0E+999999 -> -Infinity Inexact Overflow Rounded
|
|
fmax2872 fma 9.999E+999999 1 0E+999999 -> Infinity Inexact Overflow Rounded
|
|
fmax2873 fma -9.999E+999999 1 0E+999999 -> -Infinity Inexact Overflow Rounded
|
|
|
|
-- check for double-rounded subnormals
|
|
precision: 5
|
|
maxexponent: 79
|
|
minexponent: -79
|
|
fmax2881 fma 1.2347E-40 1.2347E-40 0E+999999 -> 1.524E-80 Inexact Rounded Subnormal Underflow
|
|
fmax2882 fma 1.234E-40 1.234E-40 0E+999999 -> 1.523E-80 Inexact Rounded Subnormal Underflow
|
|
fmax2883 fma 1.23E-40 1.23E-40 0E+999999 -> 1.513E-80 Inexact Rounded Subnormal Underflow
|
|
fmax2884 fma 1.2E-40 1.2E-40 0E+999999 -> 1.44E-80 Subnormal
|
|
fmax2885 fma 1.2E-40 1.2E-41 0E+999999 -> 1.44E-81 Subnormal
|
|
fmax2886 fma 1.2E-40 1.2E-42 0E+999999 -> 1.4E-82 Subnormal Inexact Rounded Underflow
|
|
fmax2887 fma 1.2E-40 1.3E-42 0E+999999 -> 1.6E-82 Subnormal Inexact Rounded Underflow
|
|
fmax2888 fma 1.3E-40 1.3E-42 0E+999999 -> 1.7E-82 Subnormal Inexact Rounded Underflow
|
|
fmax2889 fma 1.3E-40 1.3E-43 0E+999999 -> 2E-83 Subnormal Inexact Rounded Underflow
|
|
fmax2890 fma 1.3E-41 1.3E-43 0E+999999 -> 0E-83 Clamped Subnormal Inexact Rounded Underflow
|
|
|
|
fmax2891 fma 1.2345E-39 1.234E-40 0E+999999 -> 1.5234E-79 Inexact Rounded
|
|
fmax2892 fma 1.23456E-39 1.234E-40 0E+999999 -> 1.5234E-79 Inexact Rounded
|
|
fmax2893 fma 1.2345E-40 1.234E-40 0E+999999 -> 1.523E-80 Inexact Rounded Subnormal Underflow
|
|
fmax2894 fma 1.23456E-40 1.234E-40 0E+999999 -> 1.523E-80 Inexact Rounded Subnormal Underflow
|
|
fmax2895 fma 1.2345E-41 1.234E-40 0E+999999 -> 1.52E-81 Inexact Rounded Subnormal Underflow
|
|
fmax2896 fma 1.23456E-41 1.234E-40 0E+999999 -> 1.52E-81 Inexact Rounded Subnormal Underflow
|
|
|
|
-- Now explore the case where we get a normal result with Underflow
|
|
precision: 16
|
|
rounding: half_up
|
|
maxExponent: 384
|
|
minExponent: -383
|
|
|
|
fmax2900 fma 0.3000000000E-191 0.3000000000E-191 0E+999999 -> 9.00000000000000E-384 Subnormal Rounded
|
|
fmax2901 fma 0.3000000001E-191 0.3000000001E-191 0E+999999 -> 9.00000000600000E-384 Underflow Inexact Subnormal Rounded
|
|
fmax2902 fma 9.999999999999999E-383 0.0999999999999 0E+999999 -> 9.99999999999000E-384 Underflow Inexact Subnormal Rounded
|
|
fmax2903 fma 9.999999999999999E-383 0.09999999999999 0E+999999 -> 9.99999999999900E-384 Underflow Inexact Subnormal Rounded
|
|
fmax2904 fma 9.999999999999999E-383 0.099999999999999 0E+999999 -> 9.99999999999990E-384 Underflow Inexact Subnormal Rounded
|
|
fmax2905 fma 9.999999999999999E-383 0.0999999999999999 0E+999999 -> 9.99999999999999E-384 Underflow Inexact Subnormal Rounded
|
|
-- prove operands are exact
|
|
fmax2906 fma 9.999999999999999E-383 1 0E+999999 -> 9.999999999999999E-383
|
|
fmax2907 fma 1 0.09999999999999999 0E+999999 -> 0.09999999999999999
|
|
-- the next rounds to Nmin
|
|
fmax2908 fma 9.999999999999999E-383 0.09999999999999999 0E+999999 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
|
|
fmax2909 fma 9.999999999999999E-383 0.099999999999999999 0E+999999 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
|
|
fmax2910 fma 9.999999999999999E-383 0.0999999999999999999 0E+999999 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
|
|
fmax2911 fma 9.999999999999999E-383 0.09999999999999999999 0E+999999 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
|
|
|
|
-- Examples from SQL proposal (Krishna Kulkarni)
|
|
precision: 34
|
|
rounding: half_up
|
|
maxExponent: 6144
|
|
minExponent: -6143
|
|
fmax2921 fma 130E-2 120E-2 0E+999999 -> 1.5600
|
|
fmax2922 fma 130E-2 12E-1 0E+999999 -> 1.560
|
|
fmax2923 fma 130E-2 1E0 0E+999999 -> 1.30
|
|
|
|
-- Null tests
|
|
fmax2990 fma # 10 0E+999999 -> NaN Invalid_operation
|
|
fmax2991 fma 10 # 0E+999999 -> NaN Invalid_operation
|
|
|
|
-- ADDITION TESTS ------------------------------------------------------
|
|
precision: 9
|
|
rounding: half_up
|
|
maxExponent: 384
|
|
minexponent: -383
|
|
|
|
-- [first group are 'quick confidence check']
|
|
fmax3001 fma 1 1 1 -> 2
|
|
fmax3002 fma 1 2 3 -> 5
|
|
fmax3003 fma 1 '5.75' '3.3' -> 9.05
|
|
fmax3004 fma 1 '5' '-3' -> 2
|
|
fmax3005 fma 1 '-5' '-3' -> -8
|
|
fmax3006 fma 1 '-7' '2.5' -> -4.5
|
|
fmax3007 fma 1 '0.7' '0.3' -> 1.0
|
|
fmax3008 fma 1 '1.25' '1.25' -> 2.50
|
|
fmax3009 fma 1 '1.23456789' '1.00000000' -> '2.23456789'
|
|
fmax3010 fma 1 '1.23456789' '1.00000011' -> '2.23456800'
|
|
|
|
fmax3011 fma 1 '0.4444444444' '0.5555555555' -> '1.00000000' Inexact Rounded
|
|
fmax3012 fma 1 '0.4444444440' '0.5555555555' -> '1.00000000' Inexact Rounded
|
|
fmax3013 fma 1 '0.4444444444' '0.5555555550' -> '0.999999999' Inexact Rounded
|
|
fmax3014 fma 1 '0.44444444449' '0' -> '0.444444444' Inexact Rounded
|
|
fmax3015 fma 1 '0.444444444499' '0' -> '0.444444444' Inexact Rounded
|
|
fmax3016 fma 1 '0.4444444444999' '0' -> '0.444444444' Inexact Rounded
|
|
fmax3017 fma 1 '0.4444444445000' '0' -> '0.444444445' Inexact Rounded
|
|
fmax3018 fma 1 '0.4444444445001' '0' -> '0.444444445' Inexact Rounded
|
|
fmax3019 fma 1 '0.444444444501' '0' -> '0.444444445' Inexact Rounded
|
|
fmax3020 fma 1 '0.44444444451' '0' -> '0.444444445' Inexact Rounded
|
|
|
|
fmax3021 fma 1 0 1 -> 1
|
|
fmax3022 fma 1 1 1 -> 2
|
|
fmax3023 fma 1 2 1 -> 3
|
|
fmax3024 fma 1 3 1 -> 4
|
|
fmax3025 fma 1 4 1 -> 5
|
|
fmax3026 fma 1 5 1 -> 6
|
|
fmax3027 fma 1 6 1 -> 7
|
|
fmax3028 fma 1 7 1 -> 8
|
|
fmax3029 fma 1 8 1 -> 9
|
|
fmax3030 fma 1 9 1 -> 10
|
|
|
|
-- some carrying effects
|
|
fmax3031 fma 1 '0.9998' '0.0000' -> '0.9998'
|
|
fmax3032 fma 1 '0.9998' '0.0001' -> '0.9999'
|
|
fmax3033 fma 1 '0.9998' '0.0002' -> '1.0000'
|
|
fmax3034 fma 1 '0.9998' '0.0003' -> '1.0001'
|
|
|
|
fmax3035 fma 1 '70' '10000e+9' -> '1.00000000E+13' Inexact Rounded
|
|
fmax3036 fma 1 '700' '10000e+9' -> '1.00000000E+13' Inexact Rounded
|
|
fmax3037 fma 1 '7000' '10000e+9' -> '1.00000000E+13' Inexact Rounded
|
|
fmax3038 fma 1 '70000' '10000e+9' -> '1.00000001E+13' Inexact Rounded
|
|
fmax3039 fma 1 '700000' '10000e+9' -> '1.00000007E+13' Rounded
|
|
|
|
-- symmetry:
|
|
fmax3040 fma 1 '10000e+9' '70' -> '1.00000000E+13' Inexact Rounded
|
|
fmax3041 fma 1 '10000e+9' '700' -> '1.00000000E+13' Inexact Rounded
|
|
fmax3042 fma 1 '10000e+9' '7000' -> '1.00000000E+13' Inexact Rounded
|
|
fmax3044 fma 1 '10000e+9' '70000' -> '1.00000001E+13' Inexact Rounded
|
|
fmax3045 fma 1 '10000e+9' '700000' -> '1.00000007E+13' Rounded
|
|
|
|
-- same, higher precision
|
|
precision: 15
|
|
fmax3046 fma 1 '10000e+9' '7' -> '10000000000007'
|
|
fmax3047 fma 1 '10000e+9' '70' -> '10000000000070'
|
|
fmax3048 fma 1 '10000e+9' '700' -> '10000000000700'
|
|
fmax3049 fma 1 '10000e+9' '7000' -> '10000000007000'
|
|
fmax3050 fma 1 '10000e+9' '70000' -> '10000000070000'
|
|
fmax3051 fma 1 '10000e+9' '700000' -> '10000000700000'
|
|
fmax3052 fma 1 '10000e+9' '7000000' -> '10000007000000'
|
|
|
|
-- examples from decarith
|
|
fmax3053 fma 1 '12' '7.00' -> '19.00'
|
|
fmax3054 fma 1 '1.3' '-1.07' -> '0.23'
|
|
fmax3055 fma 1 '1.3' '-1.30' -> '0.00'
|
|
fmax3056 fma 1 '1.3' '-2.07' -> '-0.77'
|
|
fmax3057 fma 1 '1E+2' '1E+4' -> '1.01E+4'
|
|
|
|
-- zero preservation
|
|
precision: 6
|
|
fmax3060 fma 1 '10000e+9' '70000' -> '1.00000E+13' Inexact Rounded
|
|
fmax3061 fma 1 1 '0.0001' -> '1.0001'
|
|
fmax3062 fma 1 1 '0.00001' -> '1.00001'
|
|
fmax3063 fma 1 1 '0.000001' -> '1.00000' Inexact Rounded
|
|
fmax3064 fma 1 1 '0.0000001' -> '1.00000' Inexact Rounded
|
|
fmax3065 fma 1 1 '0.00000001' -> '1.00000' Inexact Rounded
|
|
|
|
-- some funny zeros [in case of bad signum]
|
|
fmax3070 fma 1 1 0 -> 1
|
|
fmax3071 fma 1 1 0. -> 1
|
|
fmax3072 fma 1 1 .0 -> 1.0
|
|
fmax3073 fma 1 1 0.0 -> 1.0
|
|
fmax3074 fma 1 1 0.00 -> 1.00
|
|
fmax3075 fma 1 0 1 -> 1
|
|
fmax3076 fma 1 0. 1 -> 1
|
|
fmax3077 fma 1 .0 1 -> 1.0
|
|
fmax3078 fma 1 0.0 1 -> 1.0
|
|
fmax3079 fma 1 0.00 1 -> 1.00
|
|
|
|
precision: 9
|
|
|
|
-- some carries
|
|
fmax3080 fma 1 999999998 1 -> 999999999
|
|
fmax3081 fma 1 999999999 1 -> 1.00000000E+9 Rounded
|
|
fmax3082 fma 1 99999999 1 -> 100000000
|
|
fmax3083 fma 1 9999999 1 -> 10000000
|
|
fmax3084 fma 1 999999 1 -> 1000000
|
|
fmax3085 fma 1 99999 1 -> 100000
|
|
fmax3086 fma 1 9999 1 -> 10000
|
|
fmax3087 fma 1 999 1 -> 1000
|
|
fmax3088 fma 1 99 1 -> 100
|
|
fmax3089 fma 1 9 1 -> 10
|
|
|
|
|
|
-- more LHS swaps
|
|
fmax3090 fma 1 '-56267E-10' 0 -> '-0.0000056267'
|
|
fmax3091 fma 1 '-56267E-6' 0 -> '-0.056267'
|
|
fmax3092 fma 1 '-56267E-5' 0 -> '-0.56267'
|
|
fmax3093 fma 1 '-56267E-4' 0 -> '-5.6267'
|
|
fmax3094 fma 1 '-56267E-3' 0 -> '-56.267'
|
|
fmax3095 fma 1 '-56267E-2' 0 -> '-562.67'
|
|
fmax3096 fma 1 '-56267E-1' 0 -> '-5626.7'
|
|
fmax3097 fma 1 '-56267E-0' 0 -> '-56267'
|
|
fmax3098 fma 1 '-5E-10' 0 -> '-5E-10'
|
|
fmax3099 fma 1 '-5E-7' 0 -> '-5E-7'
|
|
fmax3100 fma 1 '-5E-6' 0 -> '-0.000005'
|
|
fmax3101 fma 1 '-5E-5' 0 -> '-0.00005'
|
|
fmax3102 fma 1 '-5E-4' 0 -> '-0.0005'
|
|
fmax3103 fma 1 '-5E-1' 0 -> '-0.5'
|
|
fmax3104 fma 1 '-5E0' 0 -> '-5'
|
|
fmax3105 fma 1 '-5E1' 0 -> '-50'
|
|
fmax3106 fma 1 '-5E5' 0 -> '-500000'
|
|
fmax3107 fma 1 '-5E8' 0 -> '-500000000'
|
|
fmax3108 fma 1 '-5E9' 0 -> '-5.00000000E+9' Rounded
|
|
fmax3109 fma 1 '-5E10' 0 -> '-5.00000000E+10' Rounded
|
|
fmax3110 fma 1 '-5E11' 0 -> '-5.00000000E+11' Rounded
|
|
fmax3111 fma 1 '-5E100' 0 -> '-5.00000000E+100' Rounded
|
|
|
|
-- more RHS swaps
|
|
fmax3113 fma 1 0 '-56267E-10' -> '-0.0000056267'
|
|
fmax3114 fma 1 0 '-56267E-6' -> '-0.056267'
|
|
fmax3116 fma 1 0 '-56267E-5' -> '-0.56267'
|
|
fmax3117 fma 1 0 '-56267E-4' -> '-5.6267'
|
|
fmax3119 fma 1 0 '-56267E-3' -> '-56.267'
|
|
fmax3120 fma 1 0 '-56267E-2' -> '-562.67'
|
|
fmax3121 fma 1 0 '-56267E-1' -> '-5626.7'
|
|
fmax3122 fma 1 0 '-56267E-0' -> '-56267'
|
|
fmax3123 fma 1 0 '-5E-10' -> '-5E-10'
|
|
fmax3124 fma 1 0 '-5E-7' -> '-5E-7'
|
|
fmax3125 fma 1 0 '-5E-6' -> '-0.000005'
|
|
fmax3126 fma 1 0 '-5E-5' -> '-0.00005'
|
|
fmax3127 fma 1 0 '-5E-4' -> '-0.0005'
|
|
fmax3128 fma 1 0 '-5E-1' -> '-0.5'
|
|
fmax3129 fma 1 0 '-5E0' -> '-5'
|
|
fmax3130 fma 1 0 '-5E1' -> '-50'
|
|
fmax3131 fma 1 0 '-5E5' -> '-500000'
|
|
fmax3132 fma 1 0 '-5E8' -> '-500000000'
|
|
fmax3133 fma 1 0 '-5E9' -> '-5.00000000E+9' Rounded
|
|
fmax3134 fma 1 0 '-5E10' -> '-5.00000000E+10' Rounded
|
|
fmax3135 fma 1 0 '-5E11' -> '-5.00000000E+11' Rounded
|
|
fmax3136 fma 1 0 '-5E100' -> '-5.00000000E+100' Rounded
|
|
|
|
-- related
|
|
fmax3137 fma 1 1 '0E-12' -> '1.00000000' Rounded
|
|
fmax3138 fma 1 -1 '0E-12' -> '-1.00000000' Rounded
|
|
fmax3139 fma 1 '0E-12' 1 -> '1.00000000' Rounded
|
|
fmax3140 fma 1 '0E-12' -1 -> '-1.00000000' Rounded
|
|
fmax3141 fma 1 1E+4 0.0000 -> '10000.0000'
|
|
fmax3142 fma 1 1E+4 0.00000 -> '10000.0000' Rounded
|
|
fmax3143 fma 1 0.000 1E+5 -> '100000.000'
|
|
fmax3144 fma 1 0.0000 1E+5 -> '100000.000' Rounded
|
|
|
|
-- [some of the next group are really constructor tests]
|
|
fmax3146 fma 1 '00.0' 0 -> '0.0'
|
|
fmax3147 fma 1 '0.00' 0 -> '0.00'
|
|
fmax3148 fma 1 0 '0.00' -> '0.00'
|
|
fmax3149 fma 1 0 '00.0' -> '0.0'
|
|
fmax3150 fma 1 '00.0' '0.00' -> '0.00'
|
|
fmax3151 fma 1 '0.00' '00.0' -> '0.00'
|
|
fmax3152 fma 1 '3' '.3' -> '3.3'
|
|
fmax3153 fma 1 '3.' '.3' -> '3.3'
|
|
fmax3154 fma 1 '3.0' '.3' -> '3.3'
|
|
fmax3155 fma 1 '3.00' '.3' -> '3.30'
|
|
fmax3156 fma 1 '3' '3' -> '6'
|
|
fmax3157 fma 1 '3' '+3' -> '6'
|
|
fmax3158 fma 1 '3' '-3' -> '0'
|
|
fmax3159 fma 1 '0.3' '-0.3' -> '0.0'
|
|
fmax3160 fma 1 '0.03' '-0.03' -> '0.00'
|
|
|
|
-- try borderline precision, with carries, etc.
|
|
precision: 15
|
|
fmax3161 fma 1 '1E+12' '-1' -> '999999999999'
|
|
fmax3162 fma 1 '1E+12' '1.11' -> '1000000000001.11'
|
|
fmax3163 fma 1 '1.11' '1E+12' -> '1000000000001.11'
|
|
fmax3164 fma 1 '-1' '1E+12' -> '999999999999'
|
|
fmax3165 fma 1 '7E+12' '-1' -> '6999999999999'
|
|
fmax3166 fma 1 '7E+12' '1.11' -> '7000000000001.11'
|
|
fmax3167 fma 1 '1.11' '7E+12' -> '7000000000001.11'
|
|
fmax3168 fma 1 '-1' '7E+12' -> '6999999999999'
|
|
|
|
-- 123456789012345 123456789012345 1 23456789012345
|
|
fmax3170 fma 1 '0.444444444444444' '0.555555555555563' -> '1.00000000000001' Inexact Rounded
|
|
fmax3171 fma 1 '0.444444444444444' '0.555555555555562' -> '1.00000000000001' Inexact Rounded
|
|
fmax3172 fma 1 '0.444444444444444' '0.555555555555561' -> '1.00000000000001' Inexact Rounded
|
|
fmax3173 fma 1 '0.444444444444444' '0.555555555555560' -> '1.00000000000000' Inexact Rounded
|
|
fmax3174 fma 1 '0.444444444444444' '0.555555555555559' -> '1.00000000000000' Inexact Rounded
|
|
fmax3175 fma 1 '0.444444444444444' '0.555555555555558' -> '1.00000000000000' Inexact Rounded
|
|
fmax3176 fma 1 '0.444444444444444' '0.555555555555557' -> '1.00000000000000' Inexact Rounded
|
|
fmax3177 fma 1 '0.444444444444444' '0.555555555555556' -> '1.00000000000000' Rounded
|
|
fmax3178 fma 1 '0.444444444444444' '0.555555555555555' -> '0.999999999999999'
|
|
fmax3179 fma 1 '0.444444444444444' '0.555555555555554' -> '0.999999999999998'
|
|
fmax3180 fma 1 '0.444444444444444' '0.555555555555553' -> '0.999999999999997'
|
|
fmax3181 fma 1 '0.444444444444444' '0.555555555555552' -> '0.999999999999996'
|
|
fmax3182 fma 1 '0.444444444444444' '0.555555555555551' -> '0.999999999999995'
|
|
fmax3183 fma 1 '0.444444444444444' '0.555555555555550' -> '0.999999999999994'
|
|
|
|
-- and some more, including residue effects and different roundings
|
|
precision: 9
|
|
rounding: half_up
|
|
fmax3200 fma 1 '123456789' 0 -> '123456789'
|
|
fmax3201 fma 1 '123456789' 0.000000001 -> '123456789' Inexact Rounded
|
|
fmax3202 fma 1 '123456789' 0.000001 -> '123456789' Inexact Rounded
|
|
fmax3203 fma 1 '123456789' 0.1 -> '123456789' Inexact Rounded
|
|
fmax3204 fma 1 '123456789' 0.4 -> '123456789' Inexact Rounded
|
|
fmax3205 fma 1 '123456789' 0.49 -> '123456789' Inexact Rounded
|
|
fmax3206 fma 1 '123456789' 0.499999 -> '123456789' Inexact Rounded
|
|
fmax3207 fma 1 '123456789' 0.499999999 -> '123456789' Inexact Rounded
|
|
fmax3208 fma 1 '123456789' 0.5 -> '123456790' Inexact Rounded
|
|
fmax3209 fma 1 '123456789' 0.500000001 -> '123456790' Inexact Rounded
|
|
fmax3210 fma 1 '123456789' 0.500001 -> '123456790' Inexact Rounded
|
|
fmax3211 fma 1 '123456789' 0.51 -> '123456790' Inexact Rounded
|
|
fmax3212 fma 1 '123456789' 0.6 -> '123456790' Inexact Rounded
|
|
fmax3213 fma 1 '123456789' 0.9 -> '123456790' Inexact Rounded
|
|
fmax3214 fma 1 '123456789' 0.99999 -> '123456790' Inexact Rounded
|
|
fmax3215 fma 1 '123456789' 0.999999999 -> '123456790' Inexact Rounded
|
|
fmax3216 fma 1 '123456789' 1 -> '123456790'
|
|
fmax3217 fma 1 '123456789' 1.000000001 -> '123456790' Inexact Rounded
|
|
fmax3218 fma 1 '123456789' 1.00001 -> '123456790' Inexact Rounded
|
|
fmax3219 fma 1 '123456789' 1.1 -> '123456790' Inexact Rounded
|
|
|
|
rounding: half_even
|
|
fmax3220 fma 1 '123456789' 0 -> '123456789'
|
|
fmax3221 fma 1 '123456789' 0.000000001 -> '123456789' Inexact Rounded
|
|
fmax3222 fma 1 '123456789' 0.000001 -> '123456789' Inexact Rounded
|
|
fmax3223 fma 1 '123456789' 0.1 -> '123456789' Inexact Rounded
|
|
fmax3224 fma 1 '123456789' 0.4 -> '123456789' Inexact Rounded
|
|
fmax3225 fma 1 '123456789' 0.49 -> '123456789' Inexact Rounded
|
|
fmax3226 fma 1 '123456789' 0.499999 -> '123456789' Inexact Rounded
|
|
fmax3227 fma 1 '123456789' 0.499999999 -> '123456789' Inexact Rounded
|
|
fmax3228 fma 1 '123456789' 0.5 -> '123456790' Inexact Rounded
|
|
fmax3229 fma 1 '123456789' 0.500000001 -> '123456790' Inexact Rounded
|
|
fmax3230 fma 1 '123456789' 0.500001 -> '123456790' Inexact Rounded
|
|
fmax3231 fma 1 '123456789' 0.51 -> '123456790' Inexact Rounded
|
|
fmax3232 fma 1 '123456789' 0.6 -> '123456790' Inexact Rounded
|
|
fmax3233 fma 1 '123456789' 0.9 -> '123456790' Inexact Rounded
|
|
fmax3234 fma 1 '123456789' 0.99999 -> '123456790' Inexact Rounded
|
|
fmax3235 fma 1 '123456789' 0.999999999 -> '123456790' Inexact Rounded
|
|
fmax3236 fma 1 '123456789' 1 -> '123456790'
|
|
fmax3237 fma 1 '123456789' 1.00000001 -> '123456790' Inexact Rounded
|
|
fmax3238 fma 1 '123456789' 1.00001 -> '123456790' Inexact Rounded
|
|
fmax3239 fma 1 '123456789' 1.1 -> '123456790' Inexact Rounded
|
|
-- critical few with even bottom digit...
|
|
fmax3240 fma 1 '123456788' 0.499999999 -> '123456788' Inexact Rounded
|
|
fmax3241 fma 1 '123456788' 0.5 -> '123456788' Inexact Rounded
|
|
fmax3242 fma 1 '123456788' 0.500000001 -> '123456789' Inexact Rounded
|
|
|
|
rounding: down
|
|
fmax3250 fma 1 '123456789' 0 -> '123456789'
|
|
fmax3251 fma 1 '123456789' 0.000000001 -> '123456789' Inexact Rounded
|
|
fmax3252 fma 1 '123456789' 0.000001 -> '123456789' Inexact Rounded
|
|
fmax3253 fma 1 '123456789' 0.1 -> '123456789' Inexact Rounded
|
|
fmax3254 fma 1 '123456789' 0.4 -> '123456789' Inexact Rounded
|
|
fmax3255 fma 1 '123456789' 0.49 -> '123456789' Inexact Rounded
|
|
fmax3256 fma 1 '123456789' 0.499999 -> '123456789' Inexact Rounded
|
|
fmax3257 fma 1 '123456789' 0.499999999 -> '123456789' Inexact Rounded
|
|
fmax3258 fma 1 '123456789' 0.5 -> '123456789' Inexact Rounded
|
|
fmax3259 fma 1 '123456789' 0.500000001 -> '123456789' Inexact Rounded
|
|
fmax3260 fma 1 '123456789' 0.500001 -> '123456789' Inexact Rounded
|
|
fmax3261 fma 1 '123456789' 0.51 -> '123456789' Inexact Rounded
|
|
fmax3262 fma 1 '123456789' 0.6 -> '123456789' Inexact Rounded
|
|
fmax3263 fma 1 '123456789' 0.9 -> '123456789' Inexact Rounded
|
|
fmax3264 fma 1 '123456789' 0.99999 -> '123456789' Inexact Rounded
|
|
fmax3265 fma 1 '123456789' 0.999999999 -> '123456789' Inexact Rounded
|
|
fmax3266 fma 1 '123456789' 1 -> '123456790'
|
|
fmax3267 fma 1 '123456789' 1.00000001 -> '123456790' Inexact Rounded
|
|
fmax3268 fma 1 '123456789' 1.00001 -> '123456790' Inexact Rounded
|
|
fmax3269 fma 1 '123456789' 1.1 -> '123456790' Inexact Rounded
|
|
|
|
-- input preparation tests (operands should not be rounded)
|
|
precision: 3
|
|
rounding: half_up
|
|
|
|
fmax3270 fma 1 '12345678900000' 9999999999999 -> '2.23E+13' Inexact Rounded
|
|
fmax3271 fma 1 '9999999999999' 12345678900000 -> '2.23E+13' Inexact Rounded
|
|
|
|
fmax3272 fma 1 '12E+3' '3444' -> '1.54E+4' Inexact Rounded
|
|
fmax3273 fma 1 '12E+3' '3446' -> '1.54E+4' Inexact Rounded
|
|
fmax3274 fma 1 '12E+3' '3449.9' -> '1.54E+4' Inexact Rounded
|
|
fmax3275 fma 1 '12E+3' '3450.0' -> '1.55E+4' Inexact Rounded
|
|
fmax3276 fma 1 '12E+3' '3450.1' -> '1.55E+4' Inexact Rounded
|
|
fmax3277 fma 1 '12E+3' '3454' -> '1.55E+4' Inexact Rounded
|
|
fmax3278 fma 1 '12E+3' '3456' -> '1.55E+4' Inexact Rounded
|
|
|
|
fmax3281 fma 1 '3444' '12E+3' -> '1.54E+4' Inexact Rounded
|
|
fmax3282 fma 1 '3446' '12E+3' -> '1.54E+4' Inexact Rounded
|
|
fmax3283 fma 1 '3449.9' '12E+3' -> '1.54E+4' Inexact Rounded
|
|
fmax3284 fma 1 '3450.0' '12E+3' -> '1.55E+4' Inexact Rounded
|
|
fmax3285 fma 1 '3450.1' '12E+3' -> '1.55E+4' Inexact Rounded
|
|
fmax3286 fma 1 '3454' '12E+3' -> '1.55E+4' Inexact Rounded
|
|
fmax3287 fma 1 '3456' '12E+3' -> '1.55E+4' Inexact Rounded
|
|
|
|
rounding: half_down
|
|
fmax3291 fma 1 '3444' '12E+3' -> '1.54E+4' Inexact Rounded
|
|
fmax3292 fma 1 '3446' '12E+3' -> '1.54E+4' Inexact Rounded
|
|
fmax3293 fma 1 '3449.9' '12E+3' -> '1.54E+4' Inexact Rounded
|
|
fmax3294 fma 1 '3450.0' '12E+3' -> '1.54E+4' Inexact Rounded
|
|
fmax3295 fma 1 '3450.1' '12E+3' -> '1.55E+4' Inexact Rounded
|
|
fmax3296 fma 1 '3454' '12E+3' -> '1.55E+4' Inexact Rounded
|
|
fmax3297 fma 1 '3456' '12E+3' -> '1.55E+4' Inexact Rounded
|
|
|
|
-- 1 in last place tests
|
|
rounding: half_up
|
|
fmax3301 fma 1 -1 1 -> 0
|
|
fmax3302 fma 1 0 1 -> 1
|
|
fmax3303 fma 1 1 1 -> 2
|
|
fmax3304 fma 1 12 1 -> 13
|
|
fmax3305 fma 1 98 1 -> 99
|
|
fmax3306 fma 1 99 1 -> 100
|
|
fmax3307 fma 1 100 1 -> 101
|
|
fmax3308 fma 1 101 1 -> 102
|
|
fmax3309 fma 1 -1 -1 -> -2
|
|
fmax3310 fma 1 0 -1 -> -1
|
|
fmax3311 fma 1 1 -1 -> 0
|
|
fmax3312 fma 1 12 -1 -> 11
|
|
fmax3313 fma 1 98 -1 -> 97
|
|
fmax3314 fma 1 99 -1 -> 98
|
|
fmax3315 fma 1 100 -1 -> 99
|
|
fmax3316 fma 1 101 -1 -> 100
|
|
|
|
fmax3321 fma 1 -0.01 0.01 -> 0.00
|
|
fmax3322 fma 1 0.00 0.01 -> 0.01
|
|
fmax3323 fma 1 0.01 0.01 -> 0.02
|
|
fmax3324 fma 1 0.12 0.01 -> 0.13
|
|
fmax3325 fma 1 0.98 0.01 -> 0.99
|
|
fmax3326 fma 1 0.99 0.01 -> 1.00
|
|
fmax3327 fma 1 1.00 0.01 -> 1.01
|
|
fmax3328 fma 1 1.01 0.01 -> 1.02
|
|
fmax3329 fma 1 -0.01 -0.01 -> -0.02
|
|
fmax3330 fma 1 0.00 -0.01 -> -0.01
|
|
fmax3331 fma 1 0.01 -0.01 -> 0.00
|
|
fmax3332 fma 1 0.12 -0.01 -> 0.11
|
|
fmax3333 fma 1 0.98 -0.01 -> 0.97
|
|
fmax3334 fma 1 0.99 -0.01 -> 0.98
|
|
fmax3335 fma 1 1.00 -0.01 -> 0.99
|
|
fmax3336 fma 1 1.01 -0.01 -> 1.00
|
|
|
|
-- some more cases where fma 1 ing 0 affects the coefficient
|
|
precision: 9
|
|
fmax3340 fma 1 1E+3 0 -> 1000
|
|
fmax3341 fma 1 1E+8 0 -> 100000000
|
|
fmax3342 fma 1 1E+9 0 -> 1.00000000E+9 Rounded
|
|
fmax3343 fma 1 1E+10 0 -> 1.00000000E+10 Rounded
|
|
-- which simply follow from these cases ...
|
|
fmax3344 fma 1 1E+3 1 -> 1001
|
|
fmax3345 fma 1 1E+8 1 -> 100000001
|
|
fmax3346 fma 1 1E+9 1 -> 1.00000000E+9 Inexact Rounded
|
|
fmax3347 fma 1 1E+10 1 -> 1.00000000E+10 Inexact Rounded
|
|
fmax3348 fma 1 1E+3 7 -> 1007
|
|
fmax3349 fma 1 1E+8 7 -> 100000007
|
|
fmax3350 fma 1 1E+9 7 -> 1.00000001E+9 Inexact Rounded
|
|
fmax3351 fma 1 1E+10 7 -> 1.00000000E+10 Inexact Rounded
|
|
|
|
-- tryzeros cases
|
|
precision: 7
|
|
rounding: half_up
|
|
maxExponent: 92
|
|
minexponent: -92
|
|
fmax3361 fma 1 0E+50 10000E+1 -> 1.0000E+5
|
|
fmax3362 fma 1 10000E+1 0E-50 -> 100000.0 Rounded
|
|
fmax3363 fma 1 10000E+1 10000E-50 -> 100000.0 Rounded Inexact
|
|
fmax3364 fma 1 9.999999E+92 -9.999999E+92 -> 0E+86
|
|
|
|
-- a curiosity from JSR 13 testing
|
|
rounding: half_down
|
|
precision: 10
|
|
fmax3370 fma 1 99999999 81512 -> 100081511
|
|
precision: 6
|
|
fmax3371 fma 1 99999999 81512 -> 1.00082E+8 Rounded Inexact
|
|
rounding: half_up
|
|
precision: 10
|
|
fmax3372 fma 1 99999999 81512 -> 100081511
|
|
precision: 6
|
|
fmax3373 fma 1 99999999 81512 -> 1.00082E+8 Rounded Inexact
|
|
rounding: half_even
|
|
precision: 10
|
|
fmax3374 fma 1 99999999 81512 -> 100081511
|
|
precision: 6
|
|
fmax3375 fma 1 99999999 81512 -> 1.00082E+8 Rounded Inexact
|
|
|
|
-- ulp replacement tests
|
|
precision: 9
|
|
maxexponent: 999999
|
|
minexponent: -999999
|
|
fmax3400 fma 1 1 77e-7 -> 1.0000077
|
|
fmax3401 fma 1 1 77e-8 -> 1.00000077
|
|
fmax3402 fma 1 1 77e-9 -> 1.00000008 Inexact Rounded
|
|
fmax3403 fma 1 1 77e-10 -> 1.00000001 Inexact Rounded
|
|
fmax3404 fma 1 1 77e-11 -> 1.00000000 Inexact Rounded
|
|
fmax3405 fma 1 1 77e-12 -> 1.00000000 Inexact Rounded
|
|
fmax3406 fma 1 1 77e-999 -> 1.00000000 Inexact Rounded
|
|
fmax3407 fma 1 1 77e-999999 -> 1.00000000 Inexact Rounded
|
|
|
|
fmax3410 fma 1 10 77e-7 -> 10.0000077
|
|
fmax3411 fma 1 10 77e-8 -> 10.0000008 Inexact Rounded
|
|
fmax3412 fma 1 10 77e-9 -> 10.0000001 Inexact Rounded
|
|
fmax3413 fma 1 10 77e-10 -> 10.0000000 Inexact Rounded
|
|
fmax3414 fma 1 10 77e-11 -> 10.0000000 Inexact Rounded
|
|
fmax3415 fma 1 10 77e-12 -> 10.0000000 Inexact Rounded
|
|
fmax3416 fma 1 10 77e-999 -> 10.0000000 Inexact Rounded
|
|
fmax3417 fma 1 10 77e-999999 -> 10.0000000 Inexact Rounded
|
|
|
|
fmax3420 fma 1 77e-7 1 -> 1.0000077
|
|
fmax3421 fma 1 77e-8 1 -> 1.00000077
|
|
fmax3422 fma 1 77e-9 1 -> 1.00000008 Inexact Rounded
|
|
fmax3423 fma 1 77e-10 1 -> 1.00000001 Inexact Rounded
|
|
fmax3424 fma 1 77e-11 1 -> 1.00000000 Inexact Rounded
|
|
fmax3425 fma 1 77e-12 1 -> 1.00000000 Inexact Rounded
|
|
fmax3426 fma 1 77e-999 1 -> 1.00000000 Inexact Rounded
|
|
fmax3427 fma 1 77e-999999 1 -> 1.00000000 Inexact Rounded
|
|
|
|
fmax3430 fma 1 77e-7 10 -> 10.0000077
|
|
fmax3431 fma 1 77e-8 10 -> 10.0000008 Inexact Rounded
|
|
fmax3432 fma 1 77e-9 10 -> 10.0000001 Inexact Rounded
|
|
fmax3433 fma 1 77e-10 10 -> 10.0000000 Inexact Rounded
|
|
fmax3434 fma 1 77e-11 10 -> 10.0000000 Inexact Rounded
|
|
fmax3435 fma 1 77e-12 10 -> 10.0000000 Inexact Rounded
|
|
fmax3436 fma 1 77e-999 10 -> 10.0000000 Inexact Rounded
|
|
fmax3437 fma 1 77e-999999 10 -> 10.0000000 Inexact Rounded
|
|
|
|
-- negative ulps
|
|
fmax3440 fma 1 1 -77e-7 -> 0.9999923
|
|
fmax3441 fma 1 1 -77e-8 -> 0.99999923
|
|
fmax3442 fma 1 1 -77e-9 -> 0.999999923
|
|
fmax3443 fma 1 1 -77e-10 -> 0.999999992 Inexact Rounded
|
|
fmax3444 fma 1 1 -77e-11 -> 0.999999999 Inexact Rounded
|
|
fmax3445 fma 1 1 -77e-12 -> 1.00000000 Inexact Rounded
|
|
fmax3446 fma 1 1 -77e-999 -> 1.00000000 Inexact Rounded
|
|
fmax3447 fma 1 1 -77e-999999 -> 1.00000000 Inexact Rounded
|
|
|
|
fmax3450 fma 1 10 -77e-7 -> 9.9999923
|
|
fmax3451 fma 1 10 -77e-8 -> 9.99999923
|
|
fmax3452 fma 1 10 -77e-9 -> 9.99999992 Inexact Rounded
|
|
fmax3453 fma 1 10 -77e-10 -> 9.99999999 Inexact Rounded
|
|
fmax3454 fma 1 10 -77e-11 -> 10.0000000 Inexact Rounded
|
|
fmax3455 fma 1 10 -77e-12 -> 10.0000000 Inexact Rounded
|
|
fmax3456 fma 1 10 -77e-999 -> 10.0000000 Inexact Rounded
|
|
fmax3457 fma 1 10 -77e-999999 -> 10.0000000 Inexact Rounded
|
|
|
|
fmax3460 fma 1 -77e-7 1 -> 0.9999923
|
|
fmax3461 fma 1 -77e-8 1 -> 0.99999923
|
|
fmax3462 fma 1 -77e-9 1 -> 0.999999923
|
|
fmax3463 fma 1 -77e-10 1 -> 0.999999992 Inexact Rounded
|
|
fmax3464 fma 1 -77e-11 1 -> 0.999999999 Inexact Rounded
|
|
fmax3465 fma 1 -77e-12 1 -> 1.00000000 Inexact Rounded
|
|
fmax3466 fma 1 -77e-999 1 -> 1.00000000 Inexact Rounded
|
|
fmax3467 fma 1 -77e-999999 1 -> 1.00000000 Inexact Rounded
|
|
|
|
fmax3470 fma 1 -77e-7 10 -> 9.9999923
|
|
fmax3471 fma 1 -77e-8 10 -> 9.99999923
|
|
fmax3472 fma 1 -77e-9 10 -> 9.99999992 Inexact Rounded
|
|
fmax3473 fma 1 -77e-10 10 -> 9.99999999 Inexact Rounded
|
|
fmax3474 fma 1 -77e-11 10 -> 10.0000000 Inexact Rounded
|
|
fmax3475 fma 1 -77e-12 10 -> 10.0000000 Inexact Rounded
|
|
fmax3476 fma 1 -77e-999 10 -> 10.0000000 Inexact Rounded
|
|
fmax3477 fma 1 -77e-999999 10 -> 10.0000000 Inexact Rounded
|
|
|
|
-- negative ulps
|
|
fmax3480 fma 1 -1 77e-7 -> -0.9999923
|
|
fmax3481 fma 1 -1 77e-8 -> -0.99999923
|
|
fmax3482 fma 1 -1 77e-9 -> -0.999999923
|
|
fmax3483 fma 1 -1 77e-10 -> -0.999999992 Inexact Rounded
|
|
fmax3484 fma 1 -1 77e-11 -> -0.999999999 Inexact Rounded
|
|
fmax3485 fma 1 -1 77e-12 -> -1.00000000 Inexact Rounded
|
|
fmax3486 fma 1 -1 77e-999 -> -1.00000000 Inexact Rounded
|
|
fmax3487 fma 1 -1 77e-999999 -> -1.00000000 Inexact Rounded
|
|
|
|
fmax3490 fma 1 -10 77e-7 -> -9.9999923
|
|
fmax3491 fma 1 -10 77e-8 -> -9.99999923
|
|
fmax3492 fma 1 -10 77e-9 -> -9.99999992 Inexact Rounded
|
|
fmax3493 fma 1 -10 77e-10 -> -9.99999999 Inexact Rounded
|
|
fmax3494 fma 1 -10 77e-11 -> -10.0000000 Inexact Rounded
|
|
fmax3495 fma 1 -10 77e-12 -> -10.0000000 Inexact Rounded
|
|
fmax3496 fma 1 -10 77e-999 -> -10.0000000 Inexact Rounded
|
|
fmax3497 fma 1 -10 77e-999999 -> -10.0000000 Inexact Rounded
|
|
|
|
fmax3500 fma 1 77e-7 -1 -> -0.9999923
|
|
fmax3501 fma 1 77e-8 -1 -> -0.99999923
|
|
fmax3502 fma 1 77e-9 -1 -> -0.999999923
|
|
fmax3503 fma 1 77e-10 -1 -> -0.999999992 Inexact Rounded
|
|
fmax3504 fma 1 77e-11 -1 -> -0.999999999 Inexact Rounded
|
|
fmax3505 fma 1 77e-12 -1 -> -1.00000000 Inexact Rounded
|
|
fmax3506 fma 1 77e-999 -1 -> -1.00000000 Inexact Rounded
|
|
fmax3507 fma 1 77e-999999 -1 -> -1.00000000 Inexact Rounded
|
|
|
|
fmax3510 fma 1 77e-7 -10 -> -9.9999923
|
|
fmax3511 fma 1 77e-8 -10 -> -9.99999923
|
|
fmax3512 fma 1 77e-9 -10 -> -9.99999992 Inexact Rounded
|
|
fmax3513 fma 1 77e-10 -10 -> -9.99999999 Inexact Rounded
|
|
fmax3514 fma 1 77e-11 -10 -> -10.0000000 Inexact Rounded
|
|
fmax3515 fma 1 77e-12 -10 -> -10.0000000 Inexact Rounded
|
|
fmax3516 fma 1 77e-999 -10 -> -10.0000000 Inexact Rounded
|
|
fmax3517 fma 1 77e-999999 -10 -> -10.0000000 Inexact Rounded
|
|
|
|
|
|
-- long operands
|
|
maxexponent: 999
|
|
minexponent: -999
|
|
precision: 9
|
|
fmax3521 fma 1 12345678000 0 -> 1.23456780E+10 Rounded
|
|
fmax3522 fma 1 0 12345678000 -> 1.23456780E+10 Rounded
|
|
fmax3523 fma 1 1234567800 0 -> 1.23456780E+9 Rounded
|
|
fmax3524 fma 1 0 1234567800 -> 1.23456780E+9 Rounded
|
|
fmax3525 fma 1 1234567890 0 -> 1.23456789E+9 Rounded
|
|
fmax3526 fma 1 0 1234567890 -> 1.23456789E+9 Rounded
|
|
fmax3527 fma 1 1234567891 0 -> 1.23456789E+9 Inexact Rounded
|
|
fmax3528 fma 1 0 1234567891 -> 1.23456789E+9 Inexact Rounded
|
|
fmax3529 fma 1 12345678901 0 -> 1.23456789E+10 Inexact Rounded
|
|
fmax3530 fma 1 0 12345678901 -> 1.23456789E+10 Inexact Rounded
|
|
fmax3531 fma 1 1234567896 0 -> 1.23456790E+9 Inexact Rounded
|
|
fmax3532 fma 1 0 1234567896 -> 1.23456790E+9 Inexact Rounded
|
|
|
|
precision: 15
|
|
-- still checking
|
|
fmax3541 fma 1 12345678000 0 -> 12345678000
|
|
fmax3542 fma 1 0 12345678000 -> 12345678000
|
|
fmax3543 fma 1 1234567800 0 -> 1234567800
|
|
fmax3544 fma 1 0 1234567800 -> 1234567800
|
|
fmax3545 fma 1 1234567890 0 -> 1234567890
|
|
fmax3546 fma 1 0 1234567890 -> 1234567890
|
|
fmax3547 fma 1 1234567891 0 -> 1234567891
|
|
fmax3548 fma 1 0 1234567891 -> 1234567891
|
|
fmax3549 fma 1 12345678901 0 -> 12345678901
|
|
fmax3550 fma 1 0 12345678901 -> 12345678901
|
|
fmax3551 fma 1 1234567896 0 -> 1234567896
|
|
fmax3552 fma 1 0 1234567896 -> 1234567896
|
|
|
|
-- verify a query
|
|
precision: 16
|
|
maxExponent: +394
|
|
minExponent: -393
|
|
rounding: down
|
|
fmax3561 fma 1 1e-398 9.000000000000000E+384 -> 9.000000000000000E+384 Inexact Rounded
|
|
fmax3562 fma 1 0 9.000000000000000E+384 -> 9.000000000000000E+384 Rounded
|
|
-- and using decimal64 bounds...
|
|
precision: 16
|
|
maxExponent: +384
|
|
minExponent: -383
|
|
rounding: down
|
|
fmax3563 fma 1 1e-388 9.000000000000000E+374 -> 9.000000000000000E+374 Inexact Rounded
|
|
fmax3564 fma 1 0 9.000000000000000E+374 -> 9.000000000000000E+374 Rounded
|
|
|
|
|
|
-- some more residue effects with extreme rounding
|
|
precision: 9
|
|
rounding: half_up
|
|
fmax3601 fma 1 123456789 0.000001 -> 123456789 Inexact Rounded
|
|
rounding: half_even
|
|
fmax3602 fma 1 123456789 0.000001 -> 123456789 Inexact Rounded
|
|
rounding: half_down
|
|
fmax3603 fma 1 123456789 0.000001 -> 123456789 Inexact Rounded
|
|
rounding: floor
|
|
fmax3604 fma 1 123456789 0.000001 -> 123456789 Inexact Rounded
|
|
rounding: ceiling
|
|
fmax3605 fma 1 123456789 0.000001 -> 123456790 Inexact Rounded
|
|
rounding: up
|
|
fmax3606 fma 1 123456789 0.000001 -> 123456790 Inexact Rounded
|
|
rounding: down
|
|
fmax3607 fma 1 123456789 0.000001 -> 123456789 Inexact Rounded
|
|
|
|
rounding: half_up
|
|
fmax3611 fma 1 123456789 -0.000001 -> 123456789 Inexact Rounded
|
|
rounding: half_even
|
|
fmax3612 fma 1 123456789 -0.000001 -> 123456789 Inexact Rounded
|
|
rounding: half_down
|
|
fmax3613 fma 1 123456789 -0.000001 -> 123456789 Inexact Rounded
|
|
rounding: floor
|
|
fmax3614 fma 1 123456789 -0.000001 -> 123456788 Inexact Rounded
|
|
rounding: ceiling
|
|
fmax3615 fma 1 123456789 -0.000001 -> 123456789 Inexact Rounded
|
|
rounding: up
|
|
fmax3616 fma 1 123456789 -0.000001 -> 123456789 Inexact Rounded
|
|
rounding: down
|
|
fmax3617 fma 1 123456789 -0.000001 -> 123456788 Inexact Rounded
|
|
|
|
rounding: half_up
|
|
fmax3621 fma 1 123456789 0.499999 -> 123456789 Inexact Rounded
|
|
rounding: half_even
|
|
fmax3622 fma 1 123456789 0.499999 -> 123456789 Inexact Rounded
|
|
rounding: half_down
|
|
fmax3623 fma 1 123456789 0.499999 -> 123456789 Inexact Rounded
|
|
rounding: floor
|
|
fmax3624 fma 1 123456789 0.499999 -> 123456789 Inexact Rounded
|
|
rounding: ceiling
|
|
fmax3625 fma 1 123456789 0.499999 -> 123456790 Inexact Rounded
|
|
rounding: up
|
|
fmax3626 fma 1 123456789 0.499999 -> 123456790 Inexact Rounded
|
|
rounding: down
|
|
fmax3627 fma 1 123456789 0.499999 -> 123456789 Inexact Rounded
|
|
|
|
rounding: half_up
|
|
fmax3631 fma 1 123456789 -0.499999 -> 123456789 Inexact Rounded
|
|
rounding: half_even
|
|
fmax3632 fma 1 123456789 -0.499999 -> 123456789 Inexact Rounded
|
|
rounding: half_down
|
|
fmax3633 fma 1 123456789 -0.499999 -> 123456789 Inexact Rounded
|
|
rounding: floor
|
|
fmax3634 fma 1 123456789 -0.499999 -> 123456788 Inexact Rounded
|
|
rounding: ceiling
|
|
fmax3635 fma 1 123456789 -0.499999 -> 123456789 Inexact Rounded
|
|
rounding: up
|
|
fmax3636 fma 1 123456789 -0.499999 -> 123456789 Inexact Rounded
|
|
rounding: down
|
|
fmax3637 fma 1 123456789 -0.499999 -> 123456788 Inexact Rounded
|
|
|
|
rounding: half_up
|
|
fmax3641 fma 1 123456789 0.500001 -> 123456790 Inexact Rounded
|
|
rounding: half_even
|
|
fmax3642 fma 1 123456789 0.500001 -> 123456790 Inexact Rounded
|
|
rounding: half_down
|
|
fmax3643 fma 1 123456789 0.500001 -> 123456790 Inexact Rounded
|
|
rounding: floor
|
|
fmax3644 fma 1 123456789 0.500001 -> 123456789 Inexact Rounded
|
|
rounding: ceiling
|
|
fmax3645 fma 1 123456789 0.500001 -> 123456790 Inexact Rounded
|
|
rounding: up
|
|
fmax3646 fma 1 123456789 0.500001 -> 123456790 Inexact Rounded
|
|
rounding: down
|
|
fmax3647 fma 1 123456789 0.500001 -> 123456789 Inexact Rounded
|
|
|
|
rounding: half_up
|
|
fmax3651 fma 1 123456789 -0.500001 -> 123456788 Inexact Rounded
|
|
rounding: half_even
|
|
fmax3652 fma 1 123456789 -0.500001 -> 123456788 Inexact Rounded
|
|
rounding: half_down
|
|
fmax3653 fma 1 123456789 -0.500001 -> 123456788 Inexact Rounded
|
|
rounding: floor
|
|
fmax3654 fma 1 123456789 -0.500001 -> 123456788 Inexact Rounded
|
|
rounding: ceiling
|
|
fmax3655 fma 1 123456789 -0.500001 -> 123456789 Inexact Rounded
|
|
rounding: up
|
|
fmax3656 fma 1 123456789 -0.500001 -> 123456789 Inexact Rounded
|
|
rounding: down
|
|
fmax3657 fma 1 123456789 -0.500001 -> 123456788 Inexact Rounded
|
|
|
|
-- long operand triangle
|
|
rounding: half_up
|
|
precision: 37
|
|
fmax3660 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337114834538
|
|
precision: 36
|
|
fmax3661 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711483454 Inexact Rounded
|
|
precision: 35
|
|
fmax3662 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371148345 Inexact Rounded
|
|
precision: 34
|
|
fmax3663 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337114835 Inexact Rounded
|
|
precision: 33
|
|
fmax3664 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711483 Inexact Rounded
|
|
precision: 32
|
|
fmax3665 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371148 Inexact Rounded
|
|
precision: 31
|
|
fmax3666 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337115 Inexact Rounded
|
|
precision: 30
|
|
fmax3667 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711 Inexact Rounded
|
|
precision: 29
|
|
fmax3668 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371 Inexact Rounded
|
|
precision: 28
|
|
fmax3669 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337 Inexact Rounded
|
|
precision: 27
|
|
fmax3670 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892234 Inexact Rounded
|
|
precision: 26
|
|
fmax3671 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223 Inexact Rounded
|
|
precision: 25
|
|
fmax3672 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922 Inexact Rounded
|
|
precision: 24
|
|
fmax3673 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892 Inexact Rounded
|
|
precision: 23
|
|
fmax3674 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389 Inexact Rounded
|
|
precision: 22
|
|
fmax3675 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023639 Inexact Rounded
|
|
precision: 21
|
|
fmax3676 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102364 Inexact Rounded
|
|
precision: 20
|
|
fmax3677 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236 Inexact Rounded
|
|
precision: 19
|
|
fmax3678 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211024 Inexact Rounded
|
|
precision: 18
|
|
fmax3679 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102 Inexact Rounded
|
|
precision: 17
|
|
fmax3680 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110 Inexact Rounded
|
|
precision: 16
|
|
fmax3681 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211 Inexact Rounded
|
|
precision: 15
|
|
fmax3682 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221 Inexact Rounded
|
|
precision: 14
|
|
fmax3683 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422 Inexact Rounded
|
|
precision: 13
|
|
fmax3684 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42 Inexact Rounded
|
|
precision: 12
|
|
fmax3685 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4 Inexact Rounded
|
|
precision: 11
|
|
fmax3686 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166 Inexact Rounded
|
|
precision: 10
|
|
fmax3687 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847117417E+10 Inexact Rounded
|
|
precision: 9
|
|
fmax3688 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.84711742E+10 Inexact Rounded
|
|
precision: 8
|
|
fmax3689 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8471174E+10 Inexact Rounded
|
|
precision: 7
|
|
fmax3690 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847117E+10 Inexact Rounded
|
|
precision: 6
|
|
fmax3691 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.84712E+10 Inexact Rounded
|
|
precision: 5
|
|
fmax3692 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8471E+10 Inexact Rounded
|
|
precision: 4
|
|
fmax3693 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847E+10 Inexact Rounded
|
|
precision: 3
|
|
fmax3694 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.85E+10 Inexact Rounded
|
|
precision: 2
|
|
fmax3695 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8E+10 Inexact Rounded
|
|
precision: 1
|
|
fmax3696 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 1E+11 Inexact Rounded
|
|
|
|
-- more zeros, etc.
|
|
rounding: half_up
|
|
precision: 9
|
|
|
|
fmax3701 fma 1 5.00 1.00E-3 -> 5.00100
|
|
fmax3702 fma 1 00.00 0.000 -> 0.000
|
|
fmax3703 fma 1 00.00 0E-3 -> 0.000
|
|
fmax3704 fma 1 0E-3 00.00 -> 0.000
|
|
|
|
fmax3710 fma 1 0E+3 00.00 -> 0.00
|
|
fmax3711 fma 1 0E+3 00.0 -> 0.0
|
|
fmax3712 fma 1 0E+3 00. -> 0
|
|
fmax3713 fma 1 0E+3 00.E+1 -> 0E+1
|
|
fmax3714 fma 1 0E+3 00.E+2 -> 0E+2
|
|
fmax3715 fma 1 0E+3 00.E+3 -> 0E+3
|
|
fmax3716 fma 1 0E+3 00.E+4 -> 0E+3
|
|
fmax3717 fma 1 0E+3 00.E+5 -> 0E+3
|
|
fmax3718 fma 1 0E+3 -00.0 -> 0.0
|
|
fmax3719 fma 1 0E+3 -00. -> 0
|
|
fmax3731 fma 1 0E+3 -00.E+1 -> 0E+1
|
|
|
|
fmax3720 fma 1 00.00 0E+3 -> 0.00
|
|
fmax3721 fma 1 00.0 0E+3 -> 0.0
|
|
fmax3722 fma 1 00. 0E+3 -> 0
|
|
fmax3723 fma 1 00.E+1 0E+3 -> 0E+1
|
|
fmax3724 fma 1 00.E+2 0E+3 -> 0E+2
|
|
fmax3725 fma 1 00.E+3 0E+3 -> 0E+3
|
|
fmax3726 fma 1 00.E+4 0E+3 -> 0E+3
|
|
fmax3727 fma 1 00.E+5 0E+3 -> 0E+3
|
|
fmax3728 fma 1 -00.00 0E+3 -> 0.00
|
|
fmax3729 fma 1 -00.0 0E+3 -> 0.0
|
|
fmax3730 fma 1 -00. 0E+3 -> 0
|
|
|
|
fmax3732 fma 1 0 0 -> 0
|
|
fmax3733 fma 1 0 -0 -> 0
|
|
fmax3734 fma 1 -0 0 -> 0
|
|
fmax3735 fma 1 -0 -0 -> -0 -- IEEE 854 special case
|
|
|
|
fmax3736 fma 1 1 -1 -> 0
|
|
fmax3737 fma 1 -1 -1 -> -2
|
|
fmax3738 fma 1 1 1 -> 2
|
|
fmax3739 fma 1 -1 1 -> 0
|
|
|
|
fmax3741 fma 1 0 -1 -> -1
|
|
fmax3742 fma 1 -0 -1 -> -1
|
|
fmax3743 fma 1 0 1 -> 1
|
|
fmax3744 fma 1 -0 1 -> 1
|
|
fmax3745 fma 1 -1 0 -> -1
|
|
fmax3746 fma 1 -1 -0 -> -1
|
|
fmax3747 fma 1 1 0 -> 1
|
|
fmax3748 fma 1 1 -0 -> 1
|
|
|
|
fmax3751 fma 1 0.0 -1 -> -1.0
|
|
fmax3752 fma 1 -0.0 -1 -> -1.0
|
|
fmax3753 fma 1 0.0 1 -> 1.0
|
|
fmax3754 fma 1 -0.0 1 -> 1.0
|
|
fmax3755 fma 1 -1.0 0 -> -1.0
|
|
fmax3756 fma 1 -1.0 -0 -> -1.0
|
|
fmax3757 fma 1 1.0 0 -> 1.0
|
|
fmax3758 fma 1 1.0 -0 -> 1.0
|
|
|
|
fmax3761 fma 1 0 -1.0 -> -1.0
|
|
fmax3762 fma 1 -0 -1.0 -> -1.0
|
|
fmax3763 fma 1 0 1.0 -> 1.0
|
|
fmax3764 fma 1 -0 1.0 -> 1.0
|
|
fmax3765 fma 1 -1 0.0 -> -1.0
|
|
fmax3766 fma 1 -1 -0.0 -> -1.0
|
|
fmax3767 fma 1 1 0.0 -> 1.0
|
|
fmax3768 fma 1 1 -0.0 -> 1.0
|
|
|
|
fmax3771 fma 1 0.0 -1.0 -> -1.0
|
|
fmax3772 fma 1 -0.0 -1.0 -> -1.0
|
|
fmax3773 fma 1 0.0 1.0 -> 1.0
|
|
fmax3774 fma 1 -0.0 1.0 -> 1.0
|
|
fmax3775 fma 1 -1.0 0.0 -> -1.0
|
|
fmax3776 fma 1 -1.0 -0.0 -> -1.0
|
|
fmax3777 fma 1 1.0 0.0 -> 1.0
|
|
fmax3778 fma 1 1.0 -0.0 -> 1.0
|
|
|
|
-- Specials
|
|
fmax3780 fma 1 -Inf -Inf -> -Infinity
|
|
fmax3781 fma 1 -Inf -1000 -> -Infinity
|
|
fmax3782 fma 1 -Inf -1 -> -Infinity
|
|
fmax3783 fma 1 -Inf -0 -> -Infinity
|
|
fmax3784 fma 1 -Inf 0 -> -Infinity
|
|
fmax3785 fma 1 -Inf 1 -> -Infinity
|
|
fmax3786 fma 1 -Inf 1000 -> -Infinity
|
|
fmax3787 fma 1 -1000 -Inf -> -Infinity
|
|
fmax3788 fma 1 -Inf -Inf -> -Infinity
|
|
fmax3789 fma 1 -1 -Inf -> -Infinity
|
|
fmax3790 fma 1 -0 -Inf -> -Infinity
|
|
fmax3791 fma 1 0 -Inf -> -Infinity
|
|
fmax3792 fma 1 1 -Inf -> -Infinity
|
|
fmax3793 fma 1 1000 -Inf -> -Infinity
|
|
fmax3794 fma 1 Inf -Inf -> NaN Invalid_operation
|
|
|
|
fmax3800 fma 1 Inf -Inf -> NaN Invalid_operation
|
|
fmax3801 fma 1 Inf -1000 -> Infinity
|
|
fmax3802 fma 1 Inf -1 -> Infinity
|
|
fmax3803 fma 1 Inf -0 -> Infinity
|
|
fmax3804 fma 1 Inf 0 -> Infinity
|
|
fmax3805 fma 1 Inf 1 -> Infinity
|
|
fmax3806 fma 1 Inf 1000 -> Infinity
|
|
fmax3807 fma 1 Inf Inf -> Infinity
|
|
fmax3808 fma 1 -1000 Inf -> Infinity
|
|
fmax3809 fma 1 -Inf Inf -> NaN Invalid_operation
|
|
fmax3810 fma 1 -1 Inf -> Infinity
|
|
fmax3811 fma 1 -0 Inf -> Infinity
|
|
fmax3812 fma 1 0 Inf -> Infinity
|
|
fmax3813 fma 1 1 Inf -> Infinity
|
|
fmax3814 fma 1 1000 Inf -> Infinity
|
|
fmax3815 fma 1 Inf Inf -> Infinity
|
|
|
|
fmax3821 fma 1 NaN -Inf -> NaN
|
|
fmax3822 fma 1 NaN -1000 -> NaN
|
|
fmax3823 fma 1 NaN -1 -> NaN
|
|
fmax3824 fma 1 NaN -0 -> NaN
|
|
fmax3825 fma 1 NaN 0 -> NaN
|
|
fmax3826 fma 1 NaN 1 -> NaN
|
|
fmax3827 fma 1 NaN 1000 -> NaN
|
|
fmax3828 fma 1 NaN Inf -> NaN
|
|
fmax3829 fma 1 NaN NaN -> NaN
|
|
fmax3830 fma 1 -Inf NaN -> NaN
|
|
fmax3831 fma 1 -1000 NaN -> NaN
|
|
fmax3832 fma 1 -1 NaN -> NaN
|
|
fmax3833 fma 1 -0 NaN -> NaN
|
|
fmax3834 fma 1 0 NaN -> NaN
|
|
fmax3835 fma 1 1 NaN -> NaN
|
|
fmax3836 fma 1 1000 NaN -> NaN
|
|
fmax3837 fma 1 Inf NaN -> NaN
|
|
|
|
fmax3841 fma 1 sNaN -Inf -> NaN Invalid_operation
|
|
fmax3842 fma 1 sNaN -1000 -> NaN Invalid_operation
|
|
fmax3843 fma 1 sNaN -1 -> NaN Invalid_operation
|
|
fmax3844 fma 1 sNaN -0 -> NaN Invalid_operation
|
|
fmax3845 fma 1 sNaN 0 -> NaN Invalid_operation
|
|
fmax3846 fma 1 sNaN 1 -> NaN Invalid_operation
|
|
fmax3847 fma 1 sNaN 1000 -> NaN Invalid_operation
|
|
fmax3848 fma 1 sNaN NaN -> NaN Invalid_operation
|
|
fmax3849 fma 1 sNaN sNaN -> NaN Invalid_operation
|
|
fmax3850 fma 1 NaN sNaN -> NaN Invalid_operation
|
|
fmax3851 fma 1 -Inf sNaN -> NaN Invalid_operation
|
|
fmax3852 fma 1 -1000 sNaN -> NaN Invalid_operation
|
|
fmax3853 fma 1 -1 sNaN -> NaN Invalid_operation
|
|
fmax3854 fma 1 -0 sNaN -> NaN Invalid_operation
|
|
fmax3855 fma 1 0 sNaN -> NaN Invalid_operation
|
|
fmax3856 fma 1 1 sNaN -> NaN Invalid_operation
|
|
fmax3857 fma 1 1000 sNaN -> NaN Invalid_operation
|
|
fmax3858 fma 1 Inf sNaN -> NaN Invalid_operation
|
|
fmax3859 fma 1 NaN sNaN -> NaN Invalid_operation
|
|
|
|
-- propagating NaNs
|
|
fmax3861 fma 1 NaN1 -Inf -> NaN1
|
|
fmax3862 fma 1 +NaN2 -1000 -> NaN2
|
|
fmax3863 fma 1 NaN3 1000 -> NaN3
|
|
fmax3864 fma 1 NaN4 Inf -> NaN4
|
|
fmax3865 fma 1 NaN5 +NaN6 -> NaN5
|
|
fmax3866 fma 1 -Inf NaN7 -> NaN7
|
|
fmax3867 fma 1 -1000 NaN8 -> NaN8
|
|
fmax3868 fma 1 1000 NaN9 -> NaN9
|
|
fmax3869 fma 1 Inf +NaN10 -> NaN10
|
|
fmax3871 fma 1 sNaN11 -Inf -> NaN11 Invalid_operation
|
|
fmax3872 fma 1 sNaN12 -1000 -> NaN12 Invalid_operation
|
|
fmax3873 fma 1 sNaN13 1000 -> NaN13 Invalid_operation
|
|
fmax3874 fma 1 sNaN14 NaN17 -> NaN14 Invalid_operation
|
|
fmax3875 fma 1 sNaN15 sNaN18 -> NaN15 Invalid_operation
|
|
fmax3876 fma 1 NaN16 sNaN19 -> NaN19 Invalid_operation
|
|
fmax3877 fma 1 -Inf +sNaN20 -> NaN20 Invalid_operation
|
|
fmax3878 fma 1 -1000 sNaN21 -> NaN21 Invalid_operation
|
|
fmax3879 fma 1 1000 sNaN22 -> NaN22 Invalid_operation
|
|
fmax3880 fma 1 Inf sNaN23 -> NaN23 Invalid_operation
|
|
fmax3881 fma 1 +NaN25 +sNaN24 -> NaN24 Invalid_operation
|
|
fmax3882 fma 1 -NaN26 NaN28 -> -NaN26
|
|
fmax3883 fma 1 -sNaN27 sNaN29 -> -NaN27 Invalid_operation
|
|
fmax3884 fma 1 1000 -NaN30 -> -NaN30
|
|
fmax3885 fma 1 1000 -sNaN31 -> -NaN31 Invalid_operation
|
|
|
|
-- overflow, underflow and subnormal tests
|
|
maxexponent: 999999
|
|
minexponent: -999999
|
|
precision: 9
|
|
fmax3890 fma 1 1E+999999 9E+999999 -> Infinity Overflow Inexact Rounded
|
|
fmax3891 fma 1 9E+999999 1E+999999 -> Infinity Overflow Inexact Rounded
|
|
fmax3892 fma 1 -1.1E-999999 1E-999999 -> -1E-1000000 Subnormal
|
|
fmax3893 fma 1 1E-999999 -1.1e-999999 -> -1E-1000000 Subnormal
|
|
fmax3894 fma 1 -1.0001E-999999 1E-999999 -> -1E-1000003 Subnormal
|
|
fmax3895 fma 1 1E-999999 -1.0001e-999999 -> -1E-1000003 Subnormal
|
|
fmax3896 fma 1 -1E+999999 -9E+999999 -> -Infinity Overflow Inexact Rounded
|
|
fmax3897 fma 1 -9E+999999 -1E+999999 -> -Infinity Overflow Inexact Rounded
|
|
fmax3898 fma 1 +1.1E-999999 -1E-999999 -> 1E-1000000 Subnormal
|
|
fmax3899 fma 1 -1E-999999 +1.1e-999999 -> 1E-1000000 Subnormal
|
|
fmax3900 fma 1 +1.0001E-999999 -1E-999999 -> 1E-1000003 Subnormal
|
|
fmax3901 fma 1 -1E-999999 +1.0001e-999999 -> 1E-1000003 Subnormal
|
|
fmax3902 fma 1 -1E+999999 +9E+999999 -> 8E+999999
|
|
fmax3903 fma 1 -9E+999999 +1E+999999 -> -8E+999999
|
|
|
|
precision: 3
|
|
fmax3904 fma 1 0 -9.999E+999999 -> -Infinity Inexact Overflow Rounded
|
|
fmax3905 fma 1 -9.999E+999999 0 -> -Infinity Inexact Overflow Rounded
|
|
fmax3906 fma 1 0 9.999E+999999 -> Infinity Inexact Overflow Rounded
|
|
fmax3907 fma 1 9.999E+999999 0 -> Infinity Inexact Overflow Rounded
|
|
|
|
precision: 3
|
|
maxexponent: 999
|
|
minexponent: -999
|
|
fmax3910 fma 1 1.00E-999 0 -> 1.00E-999
|
|
fmax3911 fma 1 0.1E-999 0 -> 1E-1000 Subnormal
|
|
fmax3912 fma 1 0.10E-999 0 -> 1.0E-1000 Subnormal
|
|
fmax3913 fma 1 0.100E-999 0 -> 1.0E-1000 Subnormal Rounded
|
|
fmax3914 fma 1 0.01E-999 0 -> 1E-1001 Subnormal
|
|
-- next is rounded to Nmin
|
|
fmax3915 fma 1 0.999E-999 0 -> 1.00E-999 Inexact Rounded Subnormal Underflow
|
|
fmax3916 fma 1 0.099E-999 0 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
|
|
fmax3917 fma 1 0.009E-999 0 -> 1E-1001 Inexact Rounded Subnormal Underflow
|
|
fmax3918 fma 1 0.001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
|
|
fmax3919 fma 1 0.0009E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
|
|
fmax3920 fma 1 0.0001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
|
|
|
|
fmax3930 fma 1 -1.00E-999 0 -> -1.00E-999
|
|
fmax3931 fma 1 -0.1E-999 0 -> -1E-1000 Subnormal
|
|
fmax3932 fma 1 -0.10E-999 0 -> -1.0E-1000 Subnormal
|
|
fmax3933 fma 1 -0.100E-999 0 -> -1.0E-1000 Subnormal Rounded
|
|
fmax3934 fma 1 -0.01E-999 0 -> -1E-1001 Subnormal
|
|
-- next is rounded to Nmin
|
|
fmax3935 fma 1 -0.999E-999 0 -> -1.00E-999 Inexact Rounded Subnormal Underflow
|
|
fmax3936 fma 1 -0.099E-999 0 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
|
|
fmax3937 fma 1 -0.009E-999 0 -> -1E-1001 Inexact Rounded Subnormal Underflow
|
|
fmax3938 fma 1 -0.001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
|
|
fmax3939 fma 1 -0.0009E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
|
|
fmax3940 fma 1 -0.0001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
|
|
|
|
-- some non-zero subnormal fma 1 s
|
|
fmax3950 fma 1 1.00E-999 0.1E-999 -> 1.10E-999
|
|
fmax3951 fma 1 0.1E-999 0.1E-999 -> 2E-1000 Subnormal
|
|
fmax3952 fma 1 0.10E-999 0.1E-999 -> 2.0E-1000 Subnormal
|
|
fmax3953 fma 1 0.100E-999 0.1E-999 -> 2.0E-1000 Subnormal Rounded
|
|
fmax3954 fma 1 0.01E-999 0.1E-999 -> 1.1E-1000 Subnormal
|
|
fmax3955 fma 1 0.999E-999 0.1E-999 -> 1.10E-999 Inexact Rounded
|
|
fmax3956 fma 1 0.099E-999 0.1E-999 -> 2.0E-1000 Inexact Rounded Subnormal Underflow
|
|
fmax3957 fma 1 0.009E-999 0.1E-999 -> 1.1E-1000 Inexact Rounded Subnormal Underflow
|
|
fmax3958 fma 1 0.001E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
|
|
fmax3959 fma 1 0.0009E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
|
|
fmax3960 fma 1 0.0001E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
|
|
-- negatives...
|
|
fmax3961 fma 1 1.00E-999 -0.1E-999 -> 9.0E-1000 Subnormal
|
|
fmax3962 fma 1 0.1E-999 -0.1E-999 -> 0E-1000
|
|
fmax3963 fma 1 0.10E-999 -0.1E-999 -> 0E-1001
|
|
fmax3964 fma 1 0.100E-999 -0.1E-999 -> 0E-1001 Clamped
|
|
fmax3965 fma 1 0.01E-999 -0.1E-999 -> -9E-1001 Subnormal
|
|
fmax3966 fma 1 0.999E-999 -0.1E-999 -> 9.0E-1000 Inexact Rounded Subnormal Underflow
|
|
fmax3967 fma 1 0.099E-999 -0.1E-999 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
|
|
fmax3968 fma 1 0.009E-999 -0.1E-999 -> -9E-1001 Inexact Rounded Subnormal Underflow
|
|
fmax3969 fma 1 0.001E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
|
|
fmax3970 fma 1 0.0009E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
|
|
fmax3971 fma 1 0.0001E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
|
|
|
|
-- some 'real' numbers
|
|
maxExponent: 384
|
|
minExponent: -383
|
|
precision: 8
|
|
fmax3566 fma 1 99999061735E-394 0E-394 -> 9.999906E-384 Inexact Rounded Underflow Subnormal
|
|
precision: 7
|
|
fmax3567 fma 1 99999061735E-394 0E-394 -> 9.99991E-384 Inexact Rounded Underflow Subnormal
|
|
precision: 6
|
|
fmax3568 fma 1 99999061735E-394 0E-394 -> 9.9999E-384 Inexact Rounded Underflow Subnormal
|
|
|
|
-- now the case where we can get underflow but the result is normal
|
|
-- [note this can't happen if the operands are also bounded, as we
|
|
-- cannot represent 1E-399, for example]
|
|
precision: 16
|
|
rounding: half_up
|
|
maxExponent: 384
|
|
minExponent: -383
|
|
|
|
fmax3571 fma 1 1E-383 0 -> 1E-383
|
|
fmax3572 fma 1 1E-384 0 -> 1E-384 Subnormal
|
|
fmax3573 fma 1 1E-383 1E-384 -> 1.1E-383
|
|
fmax3574 subtract 1E-383 1E-384 -> 9E-384 Subnormal
|
|
|
|
-- Here we explore the boundary of rounding a subnormal to Nmin
|
|
fmax3575 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal
|
|
fmax3576 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal
|
|
fmax3577 subtract 1E-383 1E-399 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
|
|
fmax3578 subtract 1E-383 1E-400 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
|
|
fmax3579 subtract 1E-383 1E-401 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
|
|
fmax3580 subtract 1E-383 1E-402 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
|
|
|
|
-- check for double-rounded subnormals
|
|
precision: 5
|
|
maxexponent: 79
|
|
minexponent: -79
|
|
-- Add: lhs and rhs 0
|
|
fmax31001 fma 1 1.52444E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow
|
|
fmax31002 fma 1 1.52445E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow
|
|
fmax31003 fma 1 1.52446E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow
|
|
fmax31004 fma 1 0 1.52444E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
|
|
fmax31005 fma 1 0 1.52445E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
|
|
fmax31006 fma 1 0 1.52446E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
|
|
|
|
-- Add: lhs >> rhs and vice versa
|
|
fmax31011 fma 1 1.52444E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow
|
|
fmax31012 fma 1 1.52445E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow
|
|
fmax31013 fma 1 1.52446E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow
|
|
fmax31014 fma 1 1E-100 1.52444E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
|
|
fmax31015 fma 1 1E-100 1.52445E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
|
|
fmax31016 fma 1 1E-100 1.52446E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
|
|
|
|
-- Add: lhs + rhs fma 1 ition carried out
|
|
fmax31021 fma 1 1.52443E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
|
|
fmax31022 fma 1 1.52444E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
|
|
fmax31023 fma 1 1.52445E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
|
|
fmax31024 fma 1 1.00001E-80 1.52443E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
|
|
fmax31025 fma 1 1.00001E-80 1.52444E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
|
|
fmax31026 fma 1 1.00001E-80 1.52445E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
|
|
|
|
-- And for round down full and subnormal results
|
|
precision: 16
|
|
maxExponent: +384
|
|
minExponent: -383
|
|
rounding: down
|
|
|
|
fmax31100 fma 1 1e+2 -1e-383 -> 99.99999999999999 Rounded Inexact
|
|
fmax31101 fma 1 1e+1 -1e-383 -> 9.999999999999999 Rounded Inexact
|
|
fmax31103 fma 1 +1 -1e-383 -> 0.9999999999999999 Rounded Inexact
|
|
fmax31104 fma 1 1e-1 -1e-383 -> 0.09999999999999999 Rounded Inexact
|
|
fmax31105 fma 1 1e-2 -1e-383 -> 0.009999999999999999 Rounded Inexact
|
|
fmax31106 fma 1 1e-3 -1e-383 -> 0.0009999999999999999 Rounded Inexact
|
|
fmax31107 fma 1 1e-4 -1e-383 -> 0.00009999999999999999 Rounded Inexact
|
|
fmax31108 fma 1 1e-5 -1e-383 -> 0.000009999999999999999 Rounded Inexact
|
|
fmax31109 fma 1 1e-6 -1e-383 -> 9.999999999999999E-7 Rounded Inexact
|
|
|
|
rounding: ceiling
|
|
fmax31110 fma 1 -1e+2 +1e-383 -> -99.99999999999999 Rounded Inexact
|
|
fmax31111 fma 1 -1e+1 +1e-383 -> -9.999999999999999 Rounded Inexact
|
|
fmax31113 fma 1 -1 +1e-383 -> -0.9999999999999999 Rounded Inexact
|
|
fmax31114 fma 1 -1e-1 +1e-383 -> -0.09999999999999999 Rounded Inexact
|
|
fmax31115 fma 1 -1e-2 +1e-383 -> -0.009999999999999999 Rounded Inexact
|
|
fmax31116 fma 1 -1e-3 +1e-383 -> -0.0009999999999999999 Rounded Inexact
|
|
fmax31117 fma 1 -1e-4 +1e-383 -> -0.00009999999999999999 Rounded Inexact
|
|
fmax31118 fma 1 -1e-5 +1e-383 -> -0.000009999999999999999 Rounded Inexact
|
|
fmax31119 fma 1 -1e-6 +1e-383 -> -9.999999999999999E-7 Rounded Inexact
|
|
|
|
rounding: down
|
|
precision: 7
|
|
maxExponent: +96
|
|
minExponent: -95
|
|
fmax31130 fma 1 1 -1e-200 -> 0.9999999 Rounded Inexact
|
|
-- subnormal boundary
|
|
fmax31131 fma 1 1.000000E-94 -1e-200 -> 9.999999E-95 Rounded Inexact
|
|
fmax31132 fma 1 1.000001E-95 -1e-200 -> 1.000000E-95 Rounded Inexact
|
|
fmax31133 fma 1 1.000000E-95 -1e-200 -> 9.99999E-96 Rounded Inexact Subnormal Underflow
|
|
fmax31134 fma 1 0.999999E-95 -1e-200 -> 9.99998E-96 Rounded Inexact Subnormal Underflow
|
|
fmax31135 fma 1 0.001000E-95 -1e-200 -> 9.99E-99 Rounded Inexact Subnormal Underflow
|
|
fmax31136 fma 1 0.000999E-95 -1e-200 -> 9.98E-99 Rounded Inexact Subnormal Underflow
|
|
fmax31137 fma 1 1.000000E-95 -1e-101 -> 9.99999E-96 Subnormal
|
|
fmax31138 fma 1 10000E-101 -1e-200 -> 9.999E-98 Subnormal Inexact Rounded Underflow
|
|
fmax31139 fma 1 1000E-101 -1e-200 -> 9.99E-99 Subnormal Inexact Rounded Underflow
|
|
fmax31140 fma 1 100E-101 -1e-200 -> 9.9E-100 Subnormal Inexact Rounded Underflow
|
|
fmax31141 fma 1 10E-101 -1e-200 -> 9E-101 Subnormal Inexact Rounded Underflow
|
|
fmax31142 fma 1 1E-101 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
|
|
fmax31143 fma 1 0E-101 -1e-200 -> -0E-101 Subnormal Inexact Rounded Underflow Clamped
|
|
fmax31144 fma 1 1E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
|
|
|
|
fmax31151 fma 1 10000E-102 -1e-200 -> 9.99E-99 Subnormal Inexact Rounded Underflow
|
|
fmax31152 fma 1 1000E-102 -1e-200 -> 9.9E-100 Subnormal Inexact Rounded Underflow
|
|
fmax31153 fma 1 100E-102 -1e-200 -> 9E-101 Subnormal Inexact Rounded Underflow
|
|
fmax31154 fma 1 10E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
|
|
fmax31155 fma 1 1E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
|
|
fmax31156 fma 1 0E-102 -1e-200 -> -0E-101 Subnormal Inexact Rounded Underflow Clamped
|
|
fmax31157 fma 1 1E-103 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
|
|
|
|
fmax31160 fma 1 100E-105 -1e-101 -> -0E-101 Subnormal Inexact Rounded Underflow Clamped
|
|
fmax31161 fma 1 100E-105 -1e-201 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
|
|
|
|
-- tests based on Gunnar Degnbol's edge case
|
|
precision: 15
|
|
rounding: half_up
|
|
maxExponent: 384
|
|
minexponent: -383
|
|
|
|
fmax31200 fma 1 1E15 -0.5 -> 1.00000000000000E+15 Inexact Rounded
|
|
fmax31201 fma 1 1E15 -0.50 -> 1.00000000000000E+15 Inexact Rounded
|
|
fmax31210 fma 1 1E15 -0.51 -> 999999999999999 Inexact Rounded
|
|
fmax31211 fma 1 1E15 -0.501 -> 999999999999999 Inexact Rounded
|
|
fmax31212 fma 1 1E15 -0.5001 -> 999999999999999 Inexact Rounded
|
|
fmax31213 fma 1 1E15 -0.50001 -> 999999999999999 Inexact Rounded
|
|
fmax31214 fma 1 1E15 -0.500001 -> 999999999999999 Inexact Rounded
|
|
fmax31215 fma 1 1E15 -0.5000001 -> 999999999999999 Inexact Rounded
|
|
fmax31216 fma 1 1E15 -0.50000001 -> 999999999999999 Inexact Rounded
|
|
fmax31217 fma 1 1E15 -0.500000001 -> 999999999999999 Inexact Rounded
|
|
fmax31218 fma 1 1E15 -0.5000000001 -> 999999999999999 Inexact Rounded
|
|
fmax31219 fma 1 1E15 -0.50000000001 -> 999999999999999 Inexact Rounded
|
|
fmax31220 fma 1 1E15 -0.500000000001 -> 999999999999999 Inexact Rounded
|
|
fmax31221 fma 1 1E15 -0.5000000000001 -> 999999999999999 Inexact Rounded
|
|
fmax31222 fma 1 1E15 -0.50000000000001 -> 999999999999999 Inexact Rounded
|
|
fmax31223 fma 1 1E15 -0.500000000000001 -> 999999999999999 Inexact Rounded
|
|
fmax31224 fma 1 1E15 -0.5000000000000001 -> 999999999999999 Inexact Rounded
|
|
fmax31225 fma 1 1E15 -0.5000000000000000 -> 1.00000000000000E+15 Inexact Rounded
|
|
fmax31230 fma 1 1E15 -5000000.000000001 -> 999999995000000 Inexact Rounded
|
|
|
|
precision: 16
|
|
|
|
fmax31300 fma 1 1E16 -0.5 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax31310 fma 1 1E16 -0.51 -> 9999999999999999 Inexact Rounded
|
|
fmax31311 fma 1 1E16 -0.501 -> 9999999999999999 Inexact Rounded
|
|
fmax31312 fma 1 1E16 -0.5001 -> 9999999999999999 Inexact Rounded
|
|
fmax31313 fma 1 1E16 -0.50001 -> 9999999999999999 Inexact Rounded
|
|
fmax31314 fma 1 1E16 -0.500001 -> 9999999999999999 Inexact Rounded
|
|
fmax31315 fma 1 1E16 -0.5000001 -> 9999999999999999 Inexact Rounded
|
|
fmax31316 fma 1 1E16 -0.50000001 -> 9999999999999999 Inexact Rounded
|
|
fmax31317 fma 1 1E16 -0.500000001 -> 9999999999999999 Inexact Rounded
|
|
fmax31318 fma 1 1E16 -0.5000000001 -> 9999999999999999 Inexact Rounded
|
|
fmax31319 fma 1 1E16 -0.50000000001 -> 9999999999999999 Inexact Rounded
|
|
fmax31320 fma 1 1E16 -0.500000000001 -> 9999999999999999 Inexact Rounded
|
|
fmax31321 fma 1 1E16 -0.5000000000001 -> 9999999999999999 Inexact Rounded
|
|
fmax31322 fma 1 1E16 -0.50000000000001 -> 9999999999999999 Inexact Rounded
|
|
fmax31323 fma 1 1E16 -0.500000000000001 -> 9999999999999999 Inexact Rounded
|
|
fmax31324 fma 1 1E16 -0.5000000000000001 -> 9999999999999999 Inexact Rounded
|
|
fmax31325 fma 1 1E16 -0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax31326 fma 1 1E16 -0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax31327 fma 1 1E16 -0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax31328 fma 1 1E16 -0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax31329 fma 1 1E16 -0.500000000000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax31330 fma 1 1E16 -0.50000000000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax31331 fma 1 1E16 -0.5000000000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax31332 fma 1 1E16 -0.500000000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax31333 fma 1 1E16 -0.50000000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax31334 fma 1 1E16 -0.5000000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax31335 fma 1 1E16 -0.500000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax31336 fma 1 1E16 -0.50000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax31337 fma 1 1E16 -0.5000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax31338 fma 1 1E16 -0.500 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax31339 fma 1 1E16 -0.50 -> 1.000000000000000E+16 Inexact Rounded
|
|
|
|
fmax31340 fma 1 1E16 -5000000.000010001 -> 9999999995000000 Inexact Rounded
|
|
fmax31341 fma 1 1E16 -5000000.000000001 -> 9999999995000000 Inexact Rounded
|
|
|
|
fmax31349 fma 1 9999999999999999 0.4 -> 9999999999999999 Inexact Rounded
|
|
fmax31350 fma 1 9999999999999999 0.49 -> 9999999999999999 Inexact Rounded
|
|
fmax31351 fma 1 9999999999999999 0.499 -> 9999999999999999 Inexact Rounded
|
|
fmax31352 fma 1 9999999999999999 0.4999 -> 9999999999999999 Inexact Rounded
|
|
fmax31353 fma 1 9999999999999999 0.49999 -> 9999999999999999 Inexact Rounded
|
|
fmax31354 fma 1 9999999999999999 0.499999 -> 9999999999999999 Inexact Rounded
|
|
fmax31355 fma 1 9999999999999999 0.4999999 -> 9999999999999999 Inexact Rounded
|
|
fmax31356 fma 1 9999999999999999 0.49999999 -> 9999999999999999 Inexact Rounded
|
|
fmax31357 fma 1 9999999999999999 0.499999999 -> 9999999999999999 Inexact Rounded
|
|
fmax31358 fma 1 9999999999999999 0.4999999999 -> 9999999999999999 Inexact Rounded
|
|
fmax31359 fma 1 9999999999999999 0.49999999999 -> 9999999999999999 Inexact Rounded
|
|
fmax31360 fma 1 9999999999999999 0.499999999999 -> 9999999999999999 Inexact Rounded
|
|
fmax31361 fma 1 9999999999999999 0.4999999999999 -> 9999999999999999 Inexact Rounded
|
|
fmax31362 fma 1 9999999999999999 0.49999999999999 -> 9999999999999999 Inexact Rounded
|
|
fmax31363 fma 1 9999999999999999 0.499999999999999 -> 9999999999999999 Inexact Rounded
|
|
fmax31364 fma 1 9999999999999999 0.4999999999999999 -> 9999999999999999 Inexact Rounded
|
|
fmax31365 fma 1 9999999999999999 0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax31367 fma 1 9999999999999999 0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax31368 fma 1 9999999999999999 0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax31369 fma 1 9999999999999999 0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax31370 fma 1 9999999999999999 0.500000000000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax31371 fma 1 9999999999999999 0.50000000000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax31372 fma 1 9999999999999999 0.5000000000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax31373 fma 1 9999999999999999 0.500000000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax31374 fma 1 9999999999999999 0.50000000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax31375 fma 1 9999999999999999 0.5000000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax31376 fma 1 9999999999999999 0.500000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax31377 fma 1 9999999999999999 0.50000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax31378 fma 1 9999999999999999 0.5000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax31379 fma 1 9999999999999999 0.500 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax31380 fma 1 9999999999999999 0.50 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax31381 fma 1 9999999999999999 0.5 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax31382 fma 1 9999999999999999 0.5000000000000001 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax31383 fma 1 9999999999999999 0.500000000000001 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax31384 fma 1 9999999999999999 0.50000000000001 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax31385 fma 1 9999999999999999 0.5000000000001 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax31386 fma 1 9999999999999999 0.500000000001 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax31387 fma 1 9999999999999999 0.50000000001 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax31388 fma 1 9999999999999999 0.5000000001 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax31389 fma 1 9999999999999999 0.500000001 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax31390 fma 1 9999999999999999 0.50000001 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax31391 fma 1 9999999999999999 0.5000001 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax31392 fma 1 9999999999999999 0.500001 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax31393 fma 1 9999999999999999 0.50001 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax31394 fma 1 9999999999999999 0.5001 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax31395 fma 1 9999999999999999 0.501 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax31396 fma 1 9999999999999999 0.51 -> 1.000000000000000E+16 Inexact Rounded
|
|
|
|
-- More GD edge cases, where difference between the unadjusted
|
|
-- exponents is larger than the maximum precision and one side is 0
|
|
precision: 15
|
|
rounding: half_up
|
|
maxExponent: 384
|
|
minexponent: -383
|
|
|
|
fmax31400 fma 1 0 1.23456789012345 -> 1.23456789012345
|
|
fmax31401 fma 1 0 1.23456789012345E-1 -> 0.123456789012345
|
|
fmax31402 fma 1 0 1.23456789012345E-2 -> 0.0123456789012345
|
|
fmax31403 fma 1 0 1.23456789012345E-3 -> 0.00123456789012345
|
|
fmax31404 fma 1 0 1.23456789012345E-4 -> 0.000123456789012345
|
|
fmax31405 fma 1 0 1.23456789012345E-5 -> 0.0000123456789012345
|
|
fmax31406 fma 1 0 1.23456789012345E-6 -> 0.00000123456789012345
|
|
fmax31407 fma 1 0 1.23456789012345E-7 -> 1.23456789012345E-7
|
|
fmax31408 fma 1 0 1.23456789012345E-8 -> 1.23456789012345E-8
|
|
fmax31409 fma 1 0 1.23456789012345E-9 -> 1.23456789012345E-9
|
|
fmax31410 fma 1 0 1.23456789012345E-10 -> 1.23456789012345E-10
|
|
fmax31411 fma 1 0 1.23456789012345E-11 -> 1.23456789012345E-11
|
|
fmax31412 fma 1 0 1.23456789012345E-12 -> 1.23456789012345E-12
|
|
fmax31413 fma 1 0 1.23456789012345E-13 -> 1.23456789012345E-13
|
|
fmax31414 fma 1 0 1.23456789012345E-14 -> 1.23456789012345E-14
|
|
fmax31415 fma 1 0 1.23456789012345E-15 -> 1.23456789012345E-15
|
|
fmax31416 fma 1 0 1.23456789012345E-16 -> 1.23456789012345E-16
|
|
fmax31417 fma 1 0 1.23456789012345E-17 -> 1.23456789012345E-17
|
|
fmax31418 fma 1 0 1.23456789012345E-18 -> 1.23456789012345E-18
|
|
fmax31419 fma 1 0 1.23456789012345E-19 -> 1.23456789012345E-19
|
|
|
|
-- same, precision 16..
|
|
precision: 16
|
|
fmax31420 fma 1 0 1.123456789012345 -> 1.123456789012345
|
|
fmax31421 fma 1 0 1.123456789012345E-1 -> 0.1123456789012345
|
|
fmax31422 fma 1 0 1.123456789012345E-2 -> 0.01123456789012345
|
|
fmax31423 fma 1 0 1.123456789012345E-3 -> 0.001123456789012345
|
|
fmax31424 fma 1 0 1.123456789012345E-4 -> 0.0001123456789012345
|
|
fmax31425 fma 1 0 1.123456789012345E-5 -> 0.00001123456789012345
|
|
fmax31426 fma 1 0 1.123456789012345E-6 -> 0.000001123456789012345
|
|
fmax31427 fma 1 0 1.123456789012345E-7 -> 1.123456789012345E-7
|
|
fmax31428 fma 1 0 1.123456789012345E-8 -> 1.123456789012345E-8
|
|
fmax31429 fma 1 0 1.123456789012345E-9 -> 1.123456789012345E-9
|
|
fmax31430 fma 1 0 1.123456789012345E-10 -> 1.123456789012345E-10
|
|
fmax31431 fma 1 0 1.123456789012345E-11 -> 1.123456789012345E-11
|
|
fmax31432 fma 1 0 1.123456789012345E-12 -> 1.123456789012345E-12
|
|
fmax31433 fma 1 0 1.123456789012345E-13 -> 1.123456789012345E-13
|
|
fmax31434 fma 1 0 1.123456789012345E-14 -> 1.123456789012345E-14
|
|
fmax31435 fma 1 0 1.123456789012345E-15 -> 1.123456789012345E-15
|
|
fmax31436 fma 1 0 1.123456789012345E-16 -> 1.123456789012345E-16
|
|
fmax31437 fma 1 0 1.123456789012345E-17 -> 1.123456789012345E-17
|
|
fmax31438 fma 1 0 1.123456789012345E-18 -> 1.123456789012345E-18
|
|
fmax31439 fma 1 0 1.123456789012345E-19 -> 1.123456789012345E-19
|
|
|
|
-- same, reversed 0
|
|
fmax31440 fma 1 1.123456789012345 0 -> 1.123456789012345
|
|
fmax31441 fma 1 1.123456789012345E-1 0 -> 0.1123456789012345
|
|
fmax31442 fma 1 1.123456789012345E-2 0 -> 0.01123456789012345
|
|
fmax31443 fma 1 1.123456789012345E-3 0 -> 0.001123456789012345
|
|
fmax31444 fma 1 1.123456789012345E-4 0 -> 0.0001123456789012345
|
|
fmax31445 fma 1 1.123456789012345E-5 0 -> 0.00001123456789012345
|
|
fmax31446 fma 1 1.123456789012345E-6 0 -> 0.000001123456789012345
|
|
fmax31447 fma 1 1.123456789012345E-7 0 -> 1.123456789012345E-7
|
|
fmax31448 fma 1 1.123456789012345E-8 0 -> 1.123456789012345E-8
|
|
fmax31449 fma 1 1.123456789012345E-9 0 -> 1.123456789012345E-9
|
|
fmax31450 fma 1 1.123456789012345E-10 0 -> 1.123456789012345E-10
|
|
fmax31451 fma 1 1.123456789012345E-11 0 -> 1.123456789012345E-11
|
|
fmax31452 fma 1 1.123456789012345E-12 0 -> 1.123456789012345E-12
|
|
fmax31453 fma 1 1.123456789012345E-13 0 -> 1.123456789012345E-13
|
|
fmax31454 fma 1 1.123456789012345E-14 0 -> 1.123456789012345E-14
|
|
fmax31455 fma 1 1.123456789012345E-15 0 -> 1.123456789012345E-15
|
|
fmax31456 fma 1 1.123456789012345E-16 0 -> 1.123456789012345E-16
|
|
fmax31457 fma 1 1.123456789012345E-17 0 -> 1.123456789012345E-17
|
|
fmax31458 fma 1 1.123456789012345E-18 0 -> 1.123456789012345E-18
|
|
fmax31459 fma 1 1.123456789012345E-19 0 -> 1.123456789012345E-19
|
|
|
|
-- same, Es on the 0
|
|
fmax31460 fma 1 1.123456789012345 0E-0 -> 1.123456789012345
|
|
fmax31461 fma 1 1.123456789012345 0E-1 -> 1.123456789012345
|
|
fmax31462 fma 1 1.123456789012345 0E-2 -> 1.123456789012345
|
|
fmax31463 fma 1 1.123456789012345 0E-3 -> 1.123456789012345
|
|
fmax31464 fma 1 1.123456789012345 0E-4 -> 1.123456789012345
|
|
fmax31465 fma 1 1.123456789012345 0E-5 -> 1.123456789012345
|
|
fmax31466 fma 1 1.123456789012345 0E-6 -> 1.123456789012345
|
|
fmax31467 fma 1 1.123456789012345 0E-7 -> 1.123456789012345
|
|
fmax31468 fma 1 1.123456789012345 0E-8 -> 1.123456789012345
|
|
fmax31469 fma 1 1.123456789012345 0E-9 -> 1.123456789012345
|
|
fmax31470 fma 1 1.123456789012345 0E-10 -> 1.123456789012345
|
|
fmax31471 fma 1 1.123456789012345 0E-11 -> 1.123456789012345
|
|
fmax31472 fma 1 1.123456789012345 0E-12 -> 1.123456789012345
|
|
fmax31473 fma 1 1.123456789012345 0E-13 -> 1.123456789012345
|
|
fmax31474 fma 1 1.123456789012345 0E-14 -> 1.123456789012345
|
|
fmax31475 fma 1 1.123456789012345 0E-15 -> 1.123456789012345
|
|
-- next four flag Rounded because the 0 extends the result
|
|
fmax31476 fma 1 1.123456789012345 0E-16 -> 1.123456789012345 Rounded
|
|
fmax31477 fma 1 1.123456789012345 0E-17 -> 1.123456789012345 Rounded
|
|
fmax31478 fma 1 1.123456789012345 0E-18 -> 1.123456789012345 Rounded
|
|
fmax31479 fma 1 1.123456789012345 0E-19 -> 1.123456789012345 Rounded
|
|
|
|
-- sum of two opposite-sign operands is exactly 0 and floor => -0
|
|
precision: 16
|
|
maxExponent: 384
|
|
minexponent: -383
|
|
|
|
rounding: half_up
|
|
-- exact zeros from zeros
|
|
fmax31500 fma 1 0 0E-19 -> 0E-19
|
|
fmax31501 fma 1 -0 0E-19 -> 0E-19
|
|
fmax31502 fma 1 0 -0E-19 -> 0E-19
|
|
fmax31503 fma 1 -0 -0E-19 -> -0E-19
|
|
fmax31504 fma 1 0E-400 0E-19 -> 0E-398 Clamped
|
|
fmax31505 fma 1 -0E-400 0E-19 -> 0E-398 Clamped
|
|
fmax31506 fma 1 0E-400 -0E-19 -> 0E-398 Clamped
|
|
fmax31507 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped
|
|
-- inexact zeros
|
|
fmax31511 fma 1 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
fmax31512 fma 1 -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
fmax31513 fma 1 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
fmax31514 fma 1 -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
-- some exact zeros from non-zeros
|
|
fmax31515 fma 1 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
fmax31516 fma 1 -1E-401 1E-401 -> 0E-398 Clamped
|
|
fmax31517 fma 1 1E-401 -1E-401 -> 0E-398 Clamped
|
|
fmax31518 fma 1 -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
|
|
rounding: half_down
|
|
-- exact zeros from zeros
|
|
fmax31520 fma 1 0 0E-19 -> 0E-19
|
|
fmax31521 fma 1 -0 0E-19 -> 0E-19
|
|
fmax31522 fma 1 0 -0E-19 -> 0E-19
|
|
fmax31523 fma 1 -0 -0E-19 -> -0E-19
|
|
fmax31524 fma 1 0E-400 0E-19 -> 0E-398 Clamped
|
|
fmax31525 fma 1 -0E-400 0E-19 -> 0E-398 Clamped
|
|
fmax31526 fma 1 0E-400 -0E-19 -> 0E-398 Clamped
|
|
fmax31527 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped
|
|
-- inexact zeros
|
|
fmax31531 fma 1 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
fmax31532 fma 1 -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
fmax31533 fma 1 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
fmax31534 fma 1 -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
-- some exact zeros from non-zeros
|
|
fmax31535 fma 1 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
fmax31536 fma 1 -1E-401 1E-401 -> 0E-398 Clamped
|
|
fmax31537 fma 1 1E-401 -1E-401 -> 0E-398 Clamped
|
|
fmax31538 fma 1 -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
|
|
rounding: half_even
|
|
-- exact zeros from zeros
|
|
fmax31540 fma 1 0 0E-19 -> 0E-19
|
|
fmax31541 fma 1 -0 0E-19 -> 0E-19
|
|
fmax31542 fma 1 0 -0E-19 -> 0E-19
|
|
fmax31543 fma 1 -0 -0E-19 -> -0E-19
|
|
fmax31544 fma 1 0E-400 0E-19 -> 0E-398 Clamped
|
|
fmax31545 fma 1 -0E-400 0E-19 -> 0E-398 Clamped
|
|
fmax31546 fma 1 0E-400 -0E-19 -> 0E-398 Clamped
|
|
fmax31547 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped
|
|
-- inexact zeros
|
|
fmax31551 fma 1 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
fmax31552 fma 1 -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
fmax31553 fma 1 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
fmax31554 fma 1 -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
-- some exact zeros from non-zeros
|
|
fmax31555 fma 1 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
fmax31556 fma 1 -1E-401 1E-401 -> 0E-398 Clamped
|
|
fmax31557 fma 1 1E-401 -1E-401 -> 0E-398 Clamped
|
|
fmax31558 fma 1 -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
|
|
rounding: up
|
|
-- exact zeros from zeros
|
|
fmax31560 fma 1 0 0E-19 -> 0E-19
|
|
fmax31561 fma 1 -0 0E-19 -> 0E-19
|
|
fmax31562 fma 1 0 -0E-19 -> 0E-19
|
|
fmax31563 fma 1 -0 -0E-19 -> -0E-19
|
|
fmax31564 fma 1 0E-400 0E-19 -> 0E-398 Clamped
|
|
fmax31565 fma 1 -0E-400 0E-19 -> 0E-398 Clamped
|
|
fmax31566 fma 1 0E-400 -0E-19 -> 0E-398 Clamped
|
|
fmax31567 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped
|
|
-- inexact zeros
|
|
fmax31571 fma 1 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
|
|
fmax31572 fma 1 -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
|
|
fmax31573 fma 1 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
|
|
fmax31574 fma 1 -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
|
|
-- some exact zeros from non-zeros
|
|
fmax31575 fma 1 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow
|
|
fmax31576 fma 1 -1E-401 1E-401 -> 0E-398 Clamped
|
|
fmax31577 fma 1 1E-401 -1E-401 -> 0E-398 Clamped
|
|
fmax31578 fma 1 -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow
|
|
|
|
rounding: down
|
|
-- exact zeros from zeros
|
|
fmax31580 fma 1 0 0E-19 -> 0E-19
|
|
fmax31581 fma 1 -0 0E-19 -> 0E-19
|
|
fmax31582 fma 1 0 -0E-19 -> 0E-19
|
|
fmax31583 fma 1 -0 -0E-19 -> -0E-19
|
|
fmax31584 fma 1 0E-400 0E-19 -> 0E-398 Clamped
|
|
fmax31585 fma 1 -0E-400 0E-19 -> 0E-398 Clamped
|
|
fmax31586 fma 1 0E-400 -0E-19 -> 0E-398 Clamped
|
|
fmax31587 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped
|
|
-- inexact zeros
|
|
fmax31591 fma 1 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
fmax31592 fma 1 -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
fmax31593 fma 1 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
fmax31594 fma 1 -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
-- some exact zeros from non-zeros
|
|
fmax31595 fma 1 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
fmax31596 fma 1 -1E-401 1E-401 -> 0E-398 Clamped
|
|
fmax31597 fma 1 1E-401 -1E-401 -> 0E-398 Clamped
|
|
fmax31598 fma 1 -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
|
|
rounding: ceiling
|
|
-- exact zeros from zeros
|
|
fmax31600 fma 1 0 0E-19 -> 0E-19
|
|
fmax31601 fma 1 -0 0E-19 -> 0E-19
|
|
fmax31602 fma 1 0 -0E-19 -> 0E-19
|
|
fmax31603 fma 1 -0 -0E-19 -> -0E-19
|
|
fmax31604 fma 1 0E-400 0E-19 -> 0E-398 Clamped
|
|
fmax31605 fma 1 -0E-400 0E-19 -> 0E-398 Clamped
|
|
fmax31606 fma 1 0E-400 -0E-19 -> 0E-398 Clamped
|
|
fmax31607 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped
|
|
-- inexact zeros
|
|
fmax31611 fma 1 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
|
|
fmax31612 fma 1 -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
|
|
fmax31613 fma 1 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
fmax31614 fma 1 -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
-- some exact zeros from non-zeros
|
|
fmax31615 fma 1 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow
|
|
fmax31616 fma 1 -1E-401 1E-401 -> 0E-398 Clamped
|
|
fmax31617 fma 1 1E-401 -1E-401 -> 0E-398 Clamped
|
|
fmax31618 fma 1 -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
|
|
-- and the extra-special ugly case; unusual minuses marked by -- *
|
|
rounding: floor
|
|
-- exact zeros from zeros
|
|
fmax31620 fma 1 0 0E-19 -> 0E-19
|
|
fmax31621 fma 1 -0 0E-19 -> -0E-19 -- *
|
|
fmax31622 fma 1 0 -0E-19 -> -0E-19 -- *
|
|
fmax31623 fma 1 -0 -0E-19 -> -0E-19
|
|
fmax31624 fma 1 0E-400 0E-19 -> 0E-398 Clamped
|
|
fmax31625 fma 1 -0E-400 0E-19 -> -0E-398 Clamped -- *
|
|
fmax31626 fma 1 0E-400 -0E-19 -> -0E-398 Clamped -- *
|
|
fmax31627 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped
|
|
-- inexact zeros
|
|
fmax31631 fma 1 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
fmax31632 fma 1 -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
fmax31633 fma 1 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
|
|
fmax31634 fma 1 -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
|
|
-- some exact zeros from non-zeros
|
|
fmax31635 fma 1 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
fmax31636 fma 1 -1E-401 1E-401 -> -0E-398 Clamped -- *
|
|
fmax31637 fma 1 1E-401 -1E-401 -> -0E-398 Clamped -- *
|
|
fmax31638 fma 1 -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow
|
|
|
|
-- BigDecimal problem testcases 2006.01.23
|
|
precision: 16
|
|
maxExponent: 384
|
|
minexponent: -383
|
|
|
|
rounding: down
|
|
precision: 7
|
|
fmax31651 fma 1 10001E+2 -2E+1 -> 1.00008E+6
|
|
precision: 6
|
|
fmax31652 fma 1 10001E+2 -2E+1 -> 1.00008E+6
|
|
precision: 5
|
|
fmax31653 fma 1 10001E+2 -2E+1 -> 1.0000E+6 Inexact Rounded
|
|
precision: 4
|
|
fmax31654 fma 1 10001E+2 -2E+1 -> 1.000E+6 Inexact Rounded
|
|
precision: 3
|
|
fmax31655 fma 1 10001E+2 -2E+1 -> 1.00E+6 Inexact Rounded
|
|
precision: 2
|
|
fmax31656 fma 1 10001E+2 -2E+1 -> 1.0E+6 Inexact Rounded
|
|
precision: 1
|
|
fmax31657 fma 1 10001E+2 -2E+1 -> 1E+6 Inexact Rounded
|
|
|
|
rounding: half_even
|
|
precision: 7
|
|
fmax31661 fma 1 10001E+2 -2E+1 -> 1.00008E+6
|
|
precision: 6
|
|
fmax31662 fma 1 10001E+2 -2E+1 -> 1.00008E+6
|
|
precision: 5
|
|
fmax31663 fma 1 10001E+2 -2E+1 -> 1.0001E+6 Inexact Rounded
|
|
precision: 4
|
|
fmax31664 fma 1 10001E+2 -2E+1 -> 1.000E+6 Inexact Rounded
|
|
precision: 3
|
|
fmax31665 fma 1 10001E+2 -2E+1 -> 1.00E+6 Inexact Rounded
|
|
precision: 2
|
|
fmax31666 fma 1 10001E+2 -2E+1 -> 1.0E+6 Inexact Rounded
|
|
precision: 1
|
|
fmax31667 fma 1 10001E+2 -2E+1 -> 1E+6 Inexact Rounded
|
|
|
|
rounding: up
|
|
precision: 7
|
|
fmax31671 fma 1 10001E+2 -2E+1 -> 1.00008E+6
|
|
precision: 6
|
|
fmax31672 fma 1 10001E+2 -2E+1 -> 1.00008E+6
|
|
precision: 5
|
|
fmax31673 fma 1 10001E+2 -2E+1 -> 1.0001E+6 Inexact Rounded
|
|
precision: 4
|
|
fmax31674 fma 1 10001E+2 -2E+1 -> 1.001E+6 Inexact Rounded
|
|
precision: 3
|
|
fmax31675 fma 1 10001E+2 -2E+1 -> 1.01E+6 Inexact Rounded
|
|
precision: 2
|
|
fmax31676 fma 1 10001E+2 -2E+1 -> 1.1E+6 Inexact Rounded
|
|
precision: 1
|
|
fmax31677 fma 1 10001E+2 -2E+1 -> 2E+6 Inexact Rounded
|
|
|
|
precision: 34
|
|
rounding: half_up
|
|
maxExponent: 6144
|
|
minExponent: -6143
|
|
-- Examples from SQL proposal (Krishna Kulkarni)
|
|
fmax31701 fma 1 130E-2 120E-2 -> 2.50
|
|
fmax31702 fma 1 130E-2 12E-1 -> 2.50
|
|
fmax31703 fma 1 130E-2 1E0 -> 2.30
|
|
fmax31704 fma 1 1E2 1E4 -> 1.01E+4
|
|
fmax31705 subtract 130E-2 120E-2 -> 0.10
|
|
fmax31706 subtract 130E-2 12E-1 -> 0.10
|
|
fmax31707 subtract 130E-2 1E0 -> 0.30
|
|
fmax31708 subtract 1E2 1E4 -> -9.9E+3
|
|
|
|
------------------------------------------------------------------------
|
|
-- Same as above, using decimal64 default parameters --
|
|
------------------------------------------------------------------------
|
|
precision: 16
|
|
rounding: half_even
|
|
maxExponent: 384
|
|
minexponent: -383
|
|
|
|
-- [first group are 'quick confidence check']
|
|
fmax36001 fma 1 1 1 -> 2
|
|
fmax36002 fma 1 2 3 -> 5
|
|
fmax36003 fma 1 '5.75' '3.3' -> 9.05
|
|
fmax36004 fma 1 '5' '-3' -> 2
|
|
fmax36005 fma 1 '-5' '-3' -> -8
|
|
fmax36006 fma 1 '-7' '2.5' -> -4.5
|
|
fmax36007 fma 1 '0.7' '0.3' -> 1.0
|
|
fmax36008 fma 1 '1.25' '1.25' -> 2.50
|
|
fmax36009 fma 1 '1.23456789' '1.00000000' -> '2.23456789'
|
|
fmax36010 fma 1 '1.23456789' '1.00000011' -> '2.23456800'
|
|
|
|
fmax36011 fma 1 '0.44444444444444444' '0.55555555555555555' -> '1.000000000000000' Inexact Rounded
|
|
fmax36012 fma 1 '0.44444444444444440' '0.55555555555555555' -> '1.000000000000000' Inexact Rounded
|
|
fmax36013 fma 1 '0.44444444444444444' '0.55555555555555550' -> '0.9999999999999999' Inexact Rounded
|
|
fmax36014 fma 1 '0.444444444444444449' '0' -> '0.4444444444444444' Inexact Rounded
|
|
fmax36015 fma 1 '0.4444444444444444499' '0' -> '0.4444444444444444' Inexact Rounded
|
|
fmax36016 fma 1 '0.44444444444444444999' '0' -> '0.4444444444444444' Inexact Rounded
|
|
fmax36017 fma 1 '0.44444444444444445000' '0' -> '0.4444444444444444' Inexact Rounded
|
|
fmax36018 fma 1 '0.44444444444444445001' '0' -> '0.4444444444444445' Inexact Rounded
|
|
fmax36019 fma 1 '0.4444444444444444501' '0' -> '0.4444444444444445' Inexact Rounded
|
|
fmax36020 fma 1 '0.444444444444444451' '0' -> '0.4444444444444445' Inexact Rounded
|
|
|
|
fmax36021 fma 1 0 1 -> 1
|
|
fmax36022 fma 1 1 1 -> 2
|
|
fmax36023 fma 1 2 1 -> 3
|
|
fmax36024 fma 1 3 1 -> 4
|
|
fmax36025 fma 1 4 1 -> 5
|
|
fmax36026 fma 1 5 1 -> 6
|
|
fmax36027 fma 1 6 1 -> 7
|
|
fmax36028 fma 1 7 1 -> 8
|
|
fmax36029 fma 1 8 1 -> 9
|
|
fmax36030 fma 1 9 1 -> 10
|
|
|
|
-- some carrying effects
|
|
fmax36031 fma 1 '0.9998' '0.0000' -> '0.9998'
|
|
fmax36032 fma 1 '0.9998' '0.0001' -> '0.9999'
|
|
fmax36033 fma 1 '0.9998' '0.0002' -> '1.0000'
|
|
fmax36034 fma 1 '0.9998' '0.0003' -> '1.0001'
|
|
|
|
fmax36035 fma 1 '70' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded
|
|
fmax36036 fma 1 '700' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded
|
|
fmax36037 fma 1 '7000' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded
|
|
fmax36038 fma 1 '70000' '10000e+16' -> '1.000000000000001E+20' Inexact Rounded
|
|
fmax36039 fma 1 '700000' '10000e+16' -> '1.000000000000007E+20' Rounded
|
|
|
|
-- symmetry:
|
|
fmax36040 fma 1 '10000e+16' '70' -> '1.000000000000000E+20' Inexact Rounded
|
|
fmax36041 fma 1 '10000e+16' '700' -> '1.000000000000000E+20' Inexact Rounded
|
|
fmax36042 fma 1 '10000e+16' '7000' -> '1.000000000000000E+20' Inexact Rounded
|
|
fmax36044 fma 1 '10000e+16' '70000' -> '1.000000000000001E+20' Inexact Rounded
|
|
fmax36045 fma 1 '10000e+16' '700000' -> '1.000000000000007E+20' Rounded
|
|
|
|
fmax36046 fma 1 '10000e+9' '7' -> '10000000000007'
|
|
fmax36047 fma 1 '10000e+9' '70' -> '10000000000070'
|
|
fmax36048 fma 1 '10000e+9' '700' -> '10000000000700'
|
|
fmax36049 fma 1 '10000e+9' '7000' -> '10000000007000'
|
|
fmax36050 fma 1 '10000e+9' '70000' -> '10000000070000'
|
|
fmax36051 fma 1 '10000e+9' '700000' -> '10000000700000'
|
|
|
|
-- examples from decarith
|
|
fmax36053 fma 1 '12' '7.00' -> '19.00'
|
|
fmax36054 fma 1 '1.3' '-1.07' -> '0.23'
|
|
fmax36055 fma 1 '1.3' '-1.30' -> '0.00'
|
|
fmax36056 fma 1 '1.3' '-2.07' -> '-0.77'
|
|
fmax36057 fma 1 '1E+2' '1E+4' -> '1.01E+4'
|
|
|
|
-- from above
|
|
fmax36061 fma 1 1 '0.1' -> '1.1'
|
|
fmax36062 fma 1 1 '0.01' -> '1.01'
|
|
fmax36063 fma 1 1 '0.001' -> '1.001'
|
|
fmax36064 fma 1 1 '0.0001' -> '1.0001'
|
|
fmax36065 fma 1 1 '0.00001' -> '1.00001'
|
|
fmax36066 fma 1 1 '0.000001' -> '1.000001'
|
|
fmax36067 fma 1 1 '0.0000001' -> '1.0000001'
|
|
fmax36068 fma 1 1 '0.00000001' -> '1.00000001'
|
|
|
|
-- some funny zeros [in case of bad signum]
|
|
fmax36070 fma 1 1 0 -> 1
|
|
fmax36071 fma 1 1 0. -> 1
|
|
fmax36072 fma 1 1 .0 -> 1.0
|
|
fmax36073 fma 1 1 0.0 -> 1.0
|
|
fmax36074 fma 1 1 0.00 -> 1.00
|
|
fmax36075 fma 1 0 1 -> 1
|
|
fmax36076 fma 1 0. 1 -> 1
|
|
fmax36077 fma 1 .0 1 -> 1.0
|
|
fmax36078 fma 1 0.0 1 -> 1.0
|
|
fmax36079 fma 1 0.00 1 -> 1.00
|
|
|
|
-- some carries
|
|
fmax36080 fma 1 9999999999999998 1 -> 9999999999999999
|
|
fmax36081 fma 1 9999999999999999 1 -> 1.000000000000000E+16 Rounded
|
|
fmax36082 fma 1 999999999999999 1 -> 1000000000000000
|
|
fmax36083 fma 1 9999999999999 1 -> 10000000000000
|
|
fmax36084 fma 1 99999999999 1 -> 100000000000
|
|
fmax36085 fma 1 999999999 1 -> 1000000000
|
|
fmax36086 fma 1 9999999 1 -> 10000000
|
|
fmax36087 fma 1 99999 1 -> 100000
|
|
fmax36088 fma 1 999 1 -> 1000
|
|
fmax36089 fma 1 9 1 -> 10
|
|
|
|
|
|
-- more LHS swaps
|
|
fmax36090 fma 1 '-56267E-10' 0 -> '-0.0000056267'
|
|
fmax36091 fma 1 '-56267E-6' 0 -> '-0.056267'
|
|
fmax36092 fma 1 '-56267E-5' 0 -> '-0.56267'
|
|
fmax36093 fma 1 '-56267E-4' 0 -> '-5.6267'
|
|
fmax36094 fma 1 '-56267E-3' 0 -> '-56.267'
|
|
fmax36095 fma 1 '-56267E-2' 0 -> '-562.67'
|
|
fmax36096 fma 1 '-56267E-1' 0 -> '-5626.7'
|
|
fmax36097 fma 1 '-56267E-0' 0 -> '-56267'
|
|
fmax36098 fma 1 '-5E-10' 0 -> '-5E-10'
|
|
fmax36099 fma 1 '-5E-7' 0 -> '-5E-7'
|
|
fmax36100 fma 1 '-5E-6' 0 -> '-0.000005'
|
|
fmax36101 fma 1 '-5E-5' 0 -> '-0.00005'
|
|
fmax36102 fma 1 '-5E-4' 0 -> '-0.0005'
|
|
fmax36103 fma 1 '-5E-1' 0 -> '-0.5'
|
|
fmax36104 fma 1 '-5E0' 0 -> '-5'
|
|
fmax36105 fma 1 '-5E1' 0 -> '-50'
|
|
fmax36106 fma 1 '-5E5' 0 -> '-500000'
|
|
fmax36107 fma 1 '-5E15' 0 -> '-5000000000000000'
|
|
fmax36108 fma 1 '-5E16' 0 -> '-5.000000000000000E+16' Rounded
|
|
fmax36109 fma 1 '-5E17' 0 -> '-5.000000000000000E+17' Rounded
|
|
fmax36110 fma 1 '-5E18' 0 -> '-5.000000000000000E+18' Rounded
|
|
fmax36111 fma 1 '-5E100' 0 -> '-5.000000000000000E+100' Rounded
|
|
|
|
-- more RHS swaps
|
|
fmax36113 fma 1 0 '-56267E-10' -> '-0.0000056267'
|
|
fmax36114 fma 1 0 '-56267E-6' -> '-0.056267'
|
|
fmax36116 fma 1 0 '-56267E-5' -> '-0.56267'
|
|
fmax36117 fma 1 0 '-56267E-4' -> '-5.6267'
|
|
fmax36119 fma 1 0 '-56267E-3' -> '-56.267'
|
|
fmax36120 fma 1 0 '-56267E-2' -> '-562.67'
|
|
fmax36121 fma 1 0 '-56267E-1' -> '-5626.7'
|
|
fmax36122 fma 1 0 '-56267E-0' -> '-56267'
|
|
fmax36123 fma 1 0 '-5E-10' -> '-5E-10'
|
|
fmax36124 fma 1 0 '-5E-7' -> '-5E-7'
|
|
fmax36125 fma 1 0 '-5E-6' -> '-0.000005'
|
|
fmax36126 fma 1 0 '-5E-5' -> '-0.00005'
|
|
fmax36127 fma 1 0 '-5E-4' -> '-0.0005'
|
|
fmax36128 fma 1 0 '-5E-1' -> '-0.5'
|
|
fmax36129 fma 1 0 '-5E0' -> '-5'
|
|
fmax36130 fma 1 0 '-5E1' -> '-50'
|
|
fmax36131 fma 1 0 '-5E5' -> '-500000'
|
|
fmax36132 fma 1 0 '-5E15' -> '-5000000000000000'
|
|
fmax36133 fma 1 0 '-5E16' -> '-5.000000000000000E+16' Rounded
|
|
fmax36134 fma 1 0 '-5E17' -> '-5.000000000000000E+17' Rounded
|
|
fmax36135 fma 1 0 '-5E18' -> '-5.000000000000000E+18' Rounded
|
|
fmax36136 fma 1 0 '-5E100' -> '-5.000000000000000E+100' Rounded
|
|
|
|
-- related
|
|
fmax36137 fma 1 1 '0E-19' -> '1.000000000000000' Rounded
|
|
fmax36138 fma 1 -1 '0E-19' -> '-1.000000000000000' Rounded
|
|
fmax36139 fma 1 '0E-19' 1 -> '1.000000000000000' Rounded
|
|
fmax36140 fma 1 '0E-19' -1 -> '-1.000000000000000' Rounded
|
|
fmax36141 fma 1 1E+11 0.0000 -> '100000000000.0000'
|
|
fmax36142 fma 1 1E+11 0.00000 -> '100000000000.0000' Rounded
|
|
fmax36143 fma 1 0.000 1E+12 -> '1000000000000.000'
|
|
fmax36144 fma 1 0.0000 1E+12 -> '1000000000000.000' Rounded
|
|
|
|
-- [some of the next group are really constructor tests]
|
|
fmax36146 fma 1 '00.0' 0 -> '0.0'
|
|
fmax36147 fma 1 '0.00' 0 -> '0.00'
|
|
fmax36148 fma 1 0 '0.00' -> '0.00'
|
|
fmax36149 fma 1 0 '00.0' -> '0.0'
|
|
fmax36150 fma 1 '00.0' '0.00' -> '0.00'
|
|
fmax36151 fma 1 '0.00' '00.0' -> '0.00'
|
|
fmax36152 fma 1 '3' '.3' -> '3.3'
|
|
fmax36153 fma 1 '3.' '.3' -> '3.3'
|
|
fmax36154 fma 1 '3.0' '.3' -> '3.3'
|
|
fmax36155 fma 1 '3.00' '.3' -> '3.30'
|
|
fmax36156 fma 1 '3' '3' -> '6'
|
|
fmax36157 fma 1 '3' '+3' -> '6'
|
|
fmax36158 fma 1 '3' '-3' -> '0'
|
|
fmax36159 fma 1 '0.3' '-0.3' -> '0.0'
|
|
fmax36160 fma 1 '0.03' '-0.03' -> '0.00'
|
|
|
|
-- try borderline precision, with carries, etc.
|
|
fmax36161 fma 1 '1E+13' '-1' -> '9999999999999'
|
|
fmax36162 fma 1 '1E+13' '1.11' -> '10000000000001.11'
|
|
fmax36163 fma 1 '1.11' '1E+13' -> '10000000000001.11'
|
|
fmax36164 fma 1 '-1' '1E+13' -> '9999999999999'
|
|
fmax36165 fma 1 '7E+13' '-1' -> '69999999999999'
|
|
fmax36166 fma 1 '7E+13' '1.11' -> '70000000000001.11'
|
|
fmax36167 fma 1 '1.11' '7E+13' -> '70000000000001.11'
|
|
fmax36168 fma 1 '-1' '7E+13' -> '69999999999999'
|
|
|
|
-- 1234567890123456 1234567890123456 1 234567890123456
|
|
fmax36170 fma 1 '0.4444444444444444' '0.5555555555555563' -> '1.000000000000001' Inexact Rounded
|
|
fmax36171 fma 1 '0.4444444444444444' '0.5555555555555562' -> '1.000000000000001' Inexact Rounded
|
|
fmax36172 fma 1 '0.4444444444444444' '0.5555555555555561' -> '1.000000000000000' Inexact Rounded
|
|
fmax36173 fma 1 '0.4444444444444444' '0.5555555555555560' -> '1.000000000000000' Inexact Rounded
|
|
fmax36174 fma 1 '0.4444444444444444' '0.5555555555555559' -> '1.000000000000000' Inexact Rounded
|
|
fmax36175 fma 1 '0.4444444444444444' '0.5555555555555558' -> '1.000000000000000' Inexact Rounded
|
|
fmax36176 fma 1 '0.4444444444444444' '0.5555555555555557' -> '1.000000000000000' Inexact Rounded
|
|
fmax36177 fma 1 '0.4444444444444444' '0.5555555555555556' -> '1.000000000000000' Rounded
|
|
fmax36178 fma 1 '0.4444444444444444' '0.5555555555555555' -> '0.9999999999999999'
|
|
fmax36179 fma 1 '0.4444444444444444' '0.5555555555555554' -> '0.9999999999999998'
|
|
fmax36180 fma 1 '0.4444444444444444' '0.5555555555555553' -> '0.9999999999999997'
|
|
fmax36181 fma 1 '0.4444444444444444' '0.5555555555555552' -> '0.9999999999999996'
|
|
fmax36182 fma 1 '0.4444444444444444' '0.5555555555555551' -> '0.9999999999999995'
|
|
fmax36183 fma 1 '0.4444444444444444' '0.5555555555555550' -> '0.9999999999999994'
|
|
|
|
-- and some more, including residue effects and different roundings
|
|
rounding: half_up
|
|
fmax36200 fma 1 '6543210123456789' 0 -> '6543210123456789'
|
|
fmax36201 fma 1 '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded
|
|
fmax36202 fma 1 '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded
|
|
fmax36203 fma 1 '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded
|
|
fmax36204 fma 1 '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded
|
|
fmax36205 fma 1 '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded
|
|
fmax36206 fma 1 '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded
|
|
fmax36207 fma 1 '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded
|
|
fmax36208 fma 1 '6543210123456789' 0.5 -> '6543210123456790' Inexact Rounded
|
|
fmax36209 fma 1 '6543210123456789' 0.500000001 -> '6543210123456790' Inexact Rounded
|
|
fmax36210 fma 1 '6543210123456789' 0.500001 -> '6543210123456790' Inexact Rounded
|
|
fmax36211 fma 1 '6543210123456789' 0.51 -> '6543210123456790' Inexact Rounded
|
|
fmax36212 fma 1 '6543210123456789' 0.6 -> '6543210123456790' Inexact Rounded
|
|
fmax36213 fma 1 '6543210123456789' 0.9 -> '6543210123456790' Inexact Rounded
|
|
fmax36214 fma 1 '6543210123456789' 0.99999 -> '6543210123456790' Inexact Rounded
|
|
fmax36215 fma 1 '6543210123456789' 0.999999 -> '6543210123456790' Inexact Rounded
|
|
fmax36216 fma 1 '6543210123456789' 1 -> '6543210123456790'
|
|
fmax36217 fma 1 '6543210123456789' 1.000000001 -> '6543210123456790' Inexact Rounded
|
|
fmax36218 fma 1 '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded
|
|
fmax36219 fma 1 '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded
|
|
|
|
rounding: half_even
|
|
fmax36220 fma 1 '6543210123456789' 0 -> '6543210123456789'
|
|
fmax36221 fma 1 '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded
|
|
fmax36222 fma 1 '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded
|
|
fmax36223 fma 1 '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded
|
|
fmax36224 fma 1 '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded
|
|
fmax36225 fma 1 '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded
|
|
fmax36226 fma 1 '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded
|
|
fmax36227 fma 1 '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded
|
|
fmax36228 fma 1 '6543210123456789' 0.5 -> '6543210123456790' Inexact Rounded
|
|
fmax36229 fma 1 '6543210123456789' 0.500000001 -> '6543210123456790' Inexact Rounded
|
|
fmax36230 fma 1 '6543210123456789' 0.500001 -> '6543210123456790' Inexact Rounded
|
|
fmax36231 fma 1 '6543210123456789' 0.51 -> '6543210123456790' Inexact Rounded
|
|
fmax36232 fma 1 '6543210123456789' 0.6 -> '6543210123456790' Inexact Rounded
|
|
fmax36233 fma 1 '6543210123456789' 0.9 -> '6543210123456790' Inexact Rounded
|
|
fmax36234 fma 1 '6543210123456789' 0.99999 -> '6543210123456790' Inexact Rounded
|
|
fmax36235 fma 1 '6543210123456789' 0.999999 -> '6543210123456790' Inexact Rounded
|
|
fmax36236 fma 1 '6543210123456789' 1 -> '6543210123456790'
|
|
fmax36237 fma 1 '6543210123456789' 1.00000001 -> '6543210123456790' Inexact Rounded
|
|
fmax36238 fma 1 '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded
|
|
fmax36239 fma 1 '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded
|
|
-- critical few with even bottom digit...
|
|
fmax36240 fma 1 '6543210123456788' 0.499999 -> '6543210123456788' Inexact Rounded
|
|
fmax36241 fma 1 '6543210123456788' 0.5 -> '6543210123456788' Inexact Rounded
|
|
fmax36242 fma 1 '6543210123456788' 0.500000001 -> '6543210123456789' Inexact Rounded
|
|
|
|
rounding: down
|
|
fmax36250 fma 1 '6543210123456789' 0 -> '6543210123456789'
|
|
fmax36251 fma 1 '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded
|
|
fmax36252 fma 1 '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded
|
|
fmax36253 fma 1 '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded
|
|
fmax36254 fma 1 '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded
|
|
fmax36255 fma 1 '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded
|
|
fmax36256 fma 1 '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded
|
|
fmax36257 fma 1 '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded
|
|
fmax36258 fma 1 '6543210123456789' 0.5 -> '6543210123456789' Inexact Rounded
|
|
fmax36259 fma 1 '6543210123456789' 0.500000001 -> '6543210123456789' Inexact Rounded
|
|
fmax36260 fma 1 '6543210123456789' 0.500001 -> '6543210123456789' Inexact Rounded
|
|
fmax36261 fma 1 '6543210123456789' 0.51 -> '6543210123456789' Inexact Rounded
|
|
fmax36262 fma 1 '6543210123456789' 0.6 -> '6543210123456789' Inexact Rounded
|
|
fmax36263 fma 1 '6543210123456789' 0.9 -> '6543210123456789' Inexact Rounded
|
|
fmax36264 fma 1 '6543210123456789' 0.99999 -> '6543210123456789' Inexact Rounded
|
|
fmax36265 fma 1 '6543210123456789' 0.999999 -> '6543210123456789' Inexact Rounded
|
|
fmax36266 fma 1 '6543210123456789' 1 -> '6543210123456790'
|
|
fmax36267 fma 1 '6543210123456789' 1.00000001 -> '6543210123456790' Inexact Rounded
|
|
fmax36268 fma 1 '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded
|
|
fmax36269 fma 1 '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded
|
|
|
|
-- 1 in last place tests
|
|
rounding: half_even
|
|
fmax36301 fma 1 -1 1 -> 0
|
|
fmax36302 fma 1 0 1 -> 1
|
|
fmax36303 fma 1 1 1 -> 2
|
|
fmax36304 fma 1 12 1 -> 13
|
|
fmax36305 fma 1 98 1 -> 99
|
|
fmax36306 fma 1 99 1 -> 100
|
|
fmax36307 fma 1 100 1 -> 101
|
|
fmax36308 fma 1 101 1 -> 102
|
|
fmax36309 fma 1 -1 -1 -> -2
|
|
fmax36310 fma 1 0 -1 -> -1
|
|
fmax36311 fma 1 1 -1 -> 0
|
|
fmax36312 fma 1 12 -1 -> 11
|
|
fmax36313 fma 1 98 -1 -> 97
|
|
fmax36314 fma 1 99 -1 -> 98
|
|
fmax36315 fma 1 100 -1 -> 99
|
|
fmax36316 fma 1 101 -1 -> 100
|
|
|
|
fmax36321 fma 1 -0.01 0.01 -> 0.00
|
|
fmax36322 fma 1 0.00 0.01 -> 0.01
|
|
fmax36323 fma 1 0.01 0.01 -> 0.02
|
|
fmax36324 fma 1 0.12 0.01 -> 0.13
|
|
fmax36325 fma 1 0.98 0.01 -> 0.99
|
|
fmax36326 fma 1 0.99 0.01 -> 1.00
|
|
fmax36327 fma 1 1.00 0.01 -> 1.01
|
|
fmax36328 fma 1 1.01 0.01 -> 1.02
|
|
fmax36329 fma 1 -0.01 -0.01 -> -0.02
|
|
fmax36330 fma 1 0.00 -0.01 -> -0.01
|
|
fmax36331 fma 1 0.01 -0.01 -> 0.00
|
|
fmax36332 fma 1 0.12 -0.01 -> 0.11
|
|
fmax36333 fma 1 0.98 -0.01 -> 0.97
|
|
fmax36334 fma 1 0.99 -0.01 -> 0.98
|
|
fmax36335 fma 1 1.00 -0.01 -> 0.99
|
|
fmax36336 fma 1 1.01 -0.01 -> 1.00
|
|
|
|
-- some more cases where fma 1 ing 0 affects the coefficient
|
|
fmax36340 fma 1 1E+3 0 -> 1000
|
|
fmax36341 fma 1 1E+15 0 -> 1000000000000000
|
|
fmax36342 fma 1 1E+16 0 -> 1.000000000000000E+16 Rounded
|
|
fmax36343 fma 1 1E+17 0 -> 1.000000000000000E+17 Rounded
|
|
-- which simply follow from these cases ...
|
|
fmax36344 fma 1 1E+3 1 -> 1001
|
|
fmax36345 fma 1 1E+15 1 -> 1000000000000001
|
|
fmax36346 fma 1 1E+16 1 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax36347 fma 1 1E+17 1 -> 1.000000000000000E+17 Inexact Rounded
|
|
fmax36348 fma 1 1E+3 7 -> 1007
|
|
fmax36349 fma 1 1E+15 7 -> 1000000000000007
|
|
fmax36350 fma 1 1E+16 7 -> 1.000000000000001E+16 Inexact Rounded
|
|
fmax36351 fma 1 1E+17 7 -> 1.000000000000000E+17 Inexact Rounded
|
|
|
|
-- tryzeros cases
|
|
fmax36361 fma 1 0E+50 10000E+1 -> 1.0000E+5
|
|
fmax36362 fma 1 10000E+1 0E-50 -> 100000.0000000000 Rounded
|
|
fmax36363 fma 1 10000E+1 10000E-50 -> 100000.0000000000 Rounded Inexact
|
|
fmax36364 fma 1 12.34 0e-398 -> 12.34000000000000 Rounded
|
|
|
|
-- ulp replacement tests
|
|
fmax36400 fma 1 1 77e-14 -> 1.00000000000077
|
|
fmax36401 fma 1 1 77e-15 -> 1.000000000000077
|
|
fmax36402 fma 1 1 77e-16 -> 1.000000000000008 Inexact Rounded
|
|
fmax36403 fma 1 1 77e-17 -> 1.000000000000001 Inexact Rounded
|
|
fmax36404 fma 1 1 77e-18 -> 1.000000000000000 Inexact Rounded
|
|
fmax36405 fma 1 1 77e-19 -> 1.000000000000000 Inexact Rounded
|
|
fmax36406 fma 1 1 77e-99 -> 1.000000000000000 Inexact Rounded
|
|
|
|
fmax36410 fma 1 10 77e-14 -> 10.00000000000077
|
|
fmax36411 fma 1 10 77e-15 -> 10.00000000000008 Inexact Rounded
|
|
fmax36412 fma 1 10 77e-16 -> 10.00000000000001 Inexact Rounded
|
|
fmax36413 fma 1 10 77e-17 -> 10.00000000000000 Inexact Rounded
|
|
fmax36414 fma 1 10 77e-18 -> 10.00000000000000 Inexact Rounded
|
|
fmax36415 fma 1 10 77e-19 -> 10.00000000000000 Inexact Rounded
|
|
fmax36416 fma 1 10 77e-99 -> 10.00000000000000 Inexact Rounded
|
|
|
|
fmax36420 fma 1 77e-14 1 -> 1.00000000000077
|
|
fmax36421 fma 1 77e-15 1 -> 1.000000000000077
|
|
fmax36422 fma 1 77e-16 1 -> 1.000000000000008 Inexact Rounded
|
|
fmax36423 fma 1 77e-17 1 -> 1.000000000000001 Inexact Rounded
|
|
fmax36424 fma 1 77e-18 1 -> 1.000000000000000 Inexact Rounded
|
|
fmax36425 fma 1 77e-19 1 -> 1.000000000000000 Inexact Rounded
|
|
fmax36426 fma 1 77e-99 1 -> 1.000000000000000 Inexact Rounded
|
|
|
|
fmax36430 fma 1 77e-14 10 -> 10.00000000000077
|
|
fmax36431 fma 1 77e-15 10 -> 10.00000000000008 Inexact Rounded
|
|
fmax36432 fma 1 77e-16 10 -> 10.00000000000001 Inexact Rounded
|
|
fmax36433 fma 1 77e-17 10 -> 10.00000000000000 Inexact Rounded
|
|
fmax36434 fma 1 77e-18 10 -> 10.00000000000000 Inexact Rounded
|
|
fmax36435 fma 1 77e-19 10 -> 10.00000000000000 Inexact Rounded
|
|
fmax36436 fma 1 77e-99 10 -> 10.00000000000000 Inexact Rounded
|
|
|
|
-- negative ulps
|
|
fmax36440 fma 1 1 -77e-14 -> 0.99999999999923
|
|
fmax36441 fma 1 1 -77e-15 -> 0.999999999999923
|
|
fmax36442 fma 1 1 -77e-16 -> 0.9999999999999923
|
|
fmax36443 fma 1 1 -77e-17 -> 0.9999999999999992 Inexact Rounded
|
|
fmax36444 fma 1 1 -77e-18 -> 0.9999999999999999 Inexact Rounded
|
|
fmax36445 fma 1 1 -77e-19 -> 1.000000000000000 Inexact Rounded
|
|
fmax36446 fma 1 1 -77e-99 -> 1.000000000000000 Inexact Rounded
|
|
|
|
fmax36450 fma 1 10 -77e-14 -> 9.99999999999923
|
|
fmax36451 fma 1 10 -77e-15 -> 9.999999999999923
|
|
fmax36452 fma 1 10 -77e-16 -> 9.999999999999992 Inexact Rounded
|
|
fmax36453 fma 1 10 -77e-17 -> 9.999999999999999 Inexact Rounded
|
|
fmax36454 fma 1 10 -77e-18 -> 10.00000000000000 Inexact Rounded
|
|
fmax36455 fma 1 10 -77e-19 -> 10.00000000000000 Inexact Rounded
|
|
fmax36456 fma 1 10 -77e-99 -> 10.00000000000000 Inexact Rounded
|
|
|
|
fmax36460 fma 1 -77e-14 1 -> 0.99999999999923
|
|
fmax36461 fma 1 -77e-15 1 -> 0.999999999999923
|
|
fmax36462 fma 1 -77e-16 1 -> 0.9999999999999923
|
|
fmax36463 fma 1 -77e-17 1 -> 0.9999999999999992 Inexact Rounded
|
|
fmax36464 fma 1 -77e-18 1 -> 0.9999999999999999 Inexact Rounded
|
|
fmax36465 fma 1 -77e-19 1 -> 1.000000000000000 Inexact Rounded
|
|
fmax36466 fma 1 -77e-99 1 -> 1.000000000000000 Inexact Rounded
|
|
|
|
fmax36470 fma 1 -77e-14 10 -> 9.99999999999923
|
|
fmax36471 fma 1 -77e-15 10 -> 9.999999999999923
|
|
fmax36472 fma 1 -77e-16 10 -> 9.999999999999992 Inexact Rounded
|
|
fmax36473 fma 1 -77e-17 10 -> 9.999999999999999 Inexact Rounded
|
|
fmax36474 fma 1 -77e-18 10 -> 10.00000000000000 Inexact Rounded
|
|
fmax36475 fma 1 -77e-19 10 -> 10.00000000000000 Inexact Rounded
|
|
fmax36476 fma 1 -77e-99 10 -> 10.00000000000000 Inexact Rounded
|
|
|
|
-- negative ulps
|
|
fmax36480 fma 1 -1 77e-14 -> -0.99999999999923
|
|
fmax36481 fma 1 -1 77e-15 -> -0.999999999999923
|
|
fmax36482 fma 1 -1 77e-16 -> -0.9999999999999923
|
|
fmax36483 fma 1 -1 77e-17 -> -0.9999999999999992 Inexact Rounded
|
|
fmax36484 fma 1 -1 77e-18 -> -0.9999999999999999 Inexact Rounded
|
|
fmax36485 fma 1 -1 77e-19 -> -1.000000000000000 Inexact Rounded
|
|
fmax36486 fma 1 -1 77e-99 -> -1.000000000000000 Inexact Rounded
|
|
|
|
fmax36490 fma 1 -10 77e-14 -> -9.99999999999923
|
|
fmax36491 fma 1 -10 77e-15 -> -9.999999999999923
|
|
fmax36492 fma 1 -10 77e-16 -> -9.999999999999992 Inexact Rounded
|
|
fmax36493 fma 1 -10 77e-17 -> -9.999999999999999 Inexact Rounded
|
|
fmax36494 fma 1 -10 77e-18 -> -10.00000000000000 Inexact Rounded
|
|
fmax36495 fma 1 -10 77e-19 -> -10.00000000000000 Inexact Rounded
|
|
fmax36496 fma 1 -10 77e-99 -> -10.00000000000000 Inexact Rounded
|
|
|
|
fmax36500 fma 1 77e-14 -1 -> -0.99999999999923
|
|
fmax36501 fma 1 77e-15 -1 -> -0.999999999999923
|
|
fmax36502 fma 1 77e-16 -1 -> -0.9999999999999923
|
|
fmax36503 fma 1 77e-17 -1 -> -0.9999999999999992 Inexact Rounded
|
|
fmax36504 fma 1 77e-18 -1 -> -0.9999999999999999 Inexact Rounded
|
|
fmax36505 fma 1 77e-19 -1 -> -1.000000000000000 Inexact Rounded
|
|
fmax36506 fma 1 77e-99 -1 -> -1.000000000000000 Inexact Rounded
|
|
|
|
fmax36510 fma 1 77e-14 -10 -> -9.99999999999923
|
|
fmax36511 fma 1 77e-15 -10 -> -9.999999999999923
|
|
fmax36512 fma 1 77e-16 -10 -> -9.999999999999992 Inexact Rounded
|
|
fmax36513 fma 1 77e-17 -10 -> -9.999999999999999 Inexact Rounded
|
|
fmax36514 fma 1 77e-18 -10 -> -10.00000000000000 Inexact Rounded
|
|
fmax36515 fma 1 77e-19 -10 -> -10.00000000000000 Inexact Rounded
|
|
fmax36516 fma 1 77e-99 -10 -> -10.00000000000000 Inexact Rounded
|
|
|
|
|
|
-- long operands
|
|
fmax36521 fma 1 101234562345678000 0 -> 1.012345623456780E+17 Rounded
|
|
fmax36522 fma 1 0 101234562345678000 -> 1.012345623456780E+17 Rounded
|
|
fmax36523 fma 1 10123456234567800 0 -> 1.012345623456780E+16 Rounded
|
|
fmax36524 fma 1 0 10123456234567800 -> 1.012345623456780E+16 Rounded
|
|
fmax36525 fma 1 10123456234567890 0 -> 1.012345623456789E+16 Rounded
|
|
fmax36526 fma 1 0 10123456234567890 -> 1.012345623456789E+16 Rounded
|
|
fmax36527 fma 1 10123456234567891 0 -> 1.012345623456789E+16 Inexact Rounded
|
|
fmax36528 fma 1 0 10123456234567891 -> 1.012345623456789E+16 Inexact Rounded
|
|
fmax36529 fma 1 101234562345678901 0 -> 1.012345623456789E+17 Inexact Rounded
|
|
fmax36530 fma 1 0 101234562345678901 -> 1.012345623456789E+17 Inexact Rounded
|
|
fmax36531 fma 1 10123456234567896 0 -> 1.012345623456790E+16 Inexact Rounded
|
|
fmax36532 fma 1 0 10123456234567896 -> 1.012345623456790E+16 Inexact Rounded
|
|
|
|
-- verify a query
|
|
rounding: down
|
|
fmax36561 fma 1 1e-398 9.000000000000000E+384 -> 9.000000000000000E+384 Inexact Rounded
|
|
fmax36562 fma 1 0 9.000000000000000E+384 -> 9.000000000000000E+384 Rounded
|
|
-- and using decimal64 bounds...
|
|
rounding: down
|
|
fmax36563 fma 1 1e-388 9.000000000000000E+374 -> 9.000000000000000E+374 Inexact Rounded
|
|
fmax36564 fma 1 0 9.000000000000000E+374 -> 9.000000000000000E+374 Rounded
|
|
|
|
-- more zeros, etc.
|
|
rounding: half_even
|
|
|
|
fmax36701 fma 1 5.00 1.00E-3 -> 5.00100
|
|
fmax36702 fma 1 00.00 0.000 -> 0.000
|
|
fmax36703 fma 1 00.00 0E-3 -> 0.000
|
|
fmax36704 fma 1 0E-3 00.00 -> 0.000
|
|
|
|
fmax36710 fma 1 0E+3 00.00 -> 0.00
|
|
fmax36711 fma 1 0E+3 00.0 -> 0.0
|
|
fmax36712 fma 1 0E+3 00. -> 0
|
|
fmax36713 fma 1 0E+3 00.E+1 -> 0E+1
|
|
fmax36714 fma 1 0E+3 00.E+2 -> 0E+2
|
|
fmax36715 fma 1 0E+3 00.E+3 -> 0E+3
|
|
fmax36716 fma 1 0E+3 00.E+4 -> 0E+3
|
|
fmax36717 fma 1 0E+3 00.E+5 -> 0E+3
|
|
fmax36718 fma 1 0E+3 -00.0 -> 0.0
|
|
fmax36719 fma 1 0E+3 -00. -> 0
|
|
fmax36731 fma 1 0E+3 -00.E+1 -> 0E+1
|
|
|
|
fmax36720 fma 1 00.00 0E+3 -> 0.00
|
|
fmax36721 fma 1 00.0 0E+3 -> 0.0
|
|
fmax36722 fma 1 00. 0E+3 -> 0
|
|
fmax36723 fma 1 00.E+1 0E+3 -> 0E+1
|
|
fmax36724 fma 1 00.E+2 0E+3 -> 0E+2
|
|
fmax36725 fma 1 00.E+3 0E+3 -> 0E+3
|
|
fmax36726 fma 1 00.E+4 0E+3 -> 0E+3
|
|
fmax36727 fma 1 00.E+5 0E+3 -> 0E+3
|
|
fmax36728 fma 1 -00.00 0E+3 -> 0.00
|
|
fmax36729 fma 1 -00.0 0E+3 -> 0.0
|
|
fmax36730 fma 1 -00. 0E+3 -> 0
|
|
|
|
fmax36732 fma 1 0 0 -> 0
|
|
fmax36733 fma 1 0 -0 -> 0
|
|
fmax36734 fma 1 -0 0 -> 0
|
|
fmax36735 fma 1 -0 -0 -> -0 -- IEEE 854 special case
|
|
|
|
fmax36736 fma 1 1 -1 -> 0
|
|
fmax36737 fma 1 -1 -1 -> -2
|
|
fmax36738 fma 1 1 1 -> 2
|
|
fmax36739 fma 1 -1 1 -> 0
|
|
|
|
fmax36741 fma 1 0 -1 -> -1
|
|
fmax36742 fma 1 -0 -1 -> -1
|
|
fmax36743 fma 1 0 1 -> 1
|
|
fmax36744 fma 1 -0 1 -> 1
|
|
fmax36745 fma 1 -1 0 -> -1
|
|
fmax36746 fma 1 -1 -0 -> -1
|
|
fmax36747 fma 1 1 0 -> 1
|
|
fmax36748 fma 1 1 -0 -> 1
|
|
|
|
fmax36751 fma 1 0.0 -1 -> -1.0
|
|
fmax36752 fma 1 -0.0 -1 -> -1.0
|
|
fmax36753 fma 1 0.0 1 -> 1.0
|
|
fmax36754 fma 1 -0.0 1 -> 1.0
|
|
fmax36755 fma 1 -1.0 0 -> -1.0
|
|
fmax36756 fma 1 -1.0 -0 -> -1.0
|
|
fmax36757 fma 1 1.0 0 -> 1.0
|
|
fmax36758 fma 1 1.0 -0 -> 1.0
|
|
|
|
fmax36761 fma 1 0 -1.0 -> -1.0
|
|
fmax36762 fma 1 -0 -1.0 -> -1.0
|
|
fmax36763 fma 1 0 1.0 -> 1.0
|
|
fmax36764 fma 1 -0 1.0 -> 1.0
|
|
fmax36765 fma 1 -1 0.0 -> -1.0
|
|
fmax36766 fma 1 -1 -0.0 -> -1.0
|
|
fmax36767 fma 1 1 0.0 -> 1.0
|
|
fmax36768 fma 1 1 -0.0 -> 1.0
|
|
|
|
fmax36771 fma 1 0.0 -1.0 -> -1.0
|
|
fmax36772 fma 1 -0.0 -1.0 -> -1.0
|
|
fmax36773 fma 1 0.0 1.0 -> 1.0
|
|
fmax36774 fma 1 -0.0 1.0 -> 1.0
|
|
fmax36775 fma 1 -1.0 0.0 -> -1.0
|
|
fmax36776 fma 1 -1.0 -0.0 -> -1.0
|
|
fmax36777 fma 1 1.0 0.0 -> 1.0
|
|
fmax36778 fma 1 1.0 -0.0 -> 1.0
|
|
|
|
-- Specials
|
|
fmax36780 fma 1 -Inf -Inf -> -Infinity
|
|
fmax36781 fma 1 -Inf -1000 -> -Infinity
|
|
fmax36782 fma 1 -Inf -1 -> -Infinity
|
|
fmax36783 fma 1 -Inf -0 -> -Infinity
|
|
fmax36784 fma 1 -Inf 0 -> -Infinity
|
|
fmax36785 fma 1 -Inf 1 -> -Infinity
|
|
fmax36786 fma 1 -Inf 1000 -> -Infinity
|
|
fmax36787 fma 1 -1000 -Inf -> -Infinity
|
|
fmax36788 fma 1 -Inf -Inf -> -Infinity
|
|
fmax36789 fma 1 -1 -Inf -> -Infinity
|
|
fmax36790 fma 1 -0 -Inf -> -Infinity
|
|
fmax36791 fma 1 0 -Inf -> -Infinity
|
|
fmax36792 fma 1 1 -Inf -> -Infinity
|
|
fmax36793 fma 1 1000 -Inf -> -Infinity
|
|
fmax36794 fma 1 Inf -Inf -> NaN Invalid_operation
|
|
|
|
fmax36800 fma 1 Inf -Inf -> NaN Invalid_operation
|
|
fmax36801 fma 1 Inf -1000 -> Infinity
|
|
fmax36802 fma 1 Inf -1 -> Infinity
|
|
fmax36803 fma 1 Inf -0 -> Infinity
|
|
fmax36804 fma 1 Inf 0 -> Infinity
|
|
fmax36805 fma 1 Inf 1 -> Infinity
|
|
fmax36806 fma 1 Inf 1000 -> Infinity
|
|
fmax36807 fma 1 Inf Inf -> Infinity
|
|
fmax36808 fma 1 -1000 Inf -> Infinity
|
|
fmax36809 fma 1 -Inf Inf -> NaN Invalid_operation
|
|
fmax36810 fma 1 -1 Inf -> Infinity
|
|
fmax36811 fma 1 -0 Inf -> Infinity
|
|
fmax36812 fma 1 0 Inf -> Infinity
|
|
fmax36813 fma 1 1 Inf -> Infinity
|
|
fmax36814 fma 1 1000 Inf -> Infinity
|
|
fmax36815 fma 1 Inf Inf -> Infinity
|
|
|
|
fmax36821 fma 1 NaN -Inf -> NaN
|
|
fmax36822 fma 1 NaN -1000 -> NaN
|
|
fmax36823 fma 1 NaN -1 -> NaN
|
|
fmax36824 fma 1 NaN -0 -> NaN
|
|
fmax36825 fma 1 NaN 0 -> NaN
|
|
fmax36826 fma 1 NaN 1 -> NaN
|
|
fmax36827 fma 1 NaN 1000 -> NaN
|
|
fmax36828 fma 1 NaN Inf -> NaN
|
|
fmax36829 fma 1 NaN NaN -> NaN
|
|
fmax36830 fma 1 -Inf NaN -> NaN
|
|
fmax36831 fma 1 -1000 NaN -> NaN
|
|
fmax36832 fma 1 -1 NaN -> NaN
|
|
fmax36833 fma 1 -0 NaN -> NaN
|
|
fmax36834 fma 1 0 NaN -> NaN
|
|
fmax36835 fma 1 1 NaN -> NaN
|
|
fmax36836 fma 1 1000 NaN -> NaN
|
|
fmax36837 fma 1 Inf NaN -> NaN
|
|
|
|
fmax36841 fma 1 sNaN -Inf -> NaN Invalid_operation
|
|
fmax36842 fma 1 sNaN -1000 -> NaN Invalid_operation
|
|
fmax36843 fma 1 sNaN -1 -> NaN Invalid_operation
|
|
fmax36844 fma 1 sNaN -0 -> NaN Invalid_operation
|
|
fmax36845 fma 1 sNaN 0 -> NaN Invalid_operation
|
|
fmax36846 fma 1 sNaN 1 -> NaN Invalid_operation
|
|
fmax36847 fma 1 sNaN 1000 -> NaN Invalid_operation
|
|
fmax36848 fma 1 sNaN NaN -> NaN Invalid_operation
|
|
fmax36849 fma 1 sNaN sNaN -> NaN Invalid_operation
|
|
fmax36850 fma 1 NaN sNaN -> NaN Invalid_operation
|
|
fmax36851 fma 1 -Inf sNaN -> NaN Invalid_operation
|
|
fmax36852 fma 1 -1000 sNaN -> NaN Invalid_operation
|
|
fmax36853 fma 1 -1 sNaN -> NaN Invalid_operation
|
|
fmax36854 fma 1 -0 sNaN -> NaN Invalid_operation
|
|
fmax36855 fma 1 0 sNaN -> NaN Invalid_operation
|
|
fmax36856 fma 1 1 sNaN -> NaN Invalid_operation
|
|
fmax36857 fma 1 1000 sNaN -> NaN Invalid_operation
|
|
fmax36858 fma 1 Inf sNaN -> NaN Invalid_operation
|
|
fmax36859 fma 1 NaN sNaN -> NaN Invalid_operation
|
|
|
|
-- propagating NaNs
|
|
fmax36861 fma 1 NaN1 -Inf -> NaN1
|
|
fmax36862 fma 1 +NaN2 -1000 -> NaN2
|
|
fmax36863 fma 1 NaN3 1000 -> NaN3
|
|
fmax36864 fma 1 NaN4 Inf -> NaN4
|
|
fmax36865 fma 1 NaN5 +NaN6 -> NaN5
|
|
fmax36866 fma 1 -Inf NaN7 -> NaN7
|
|
fmax36867 fma 1 -1000 NaN8 -> NaN8
|
|
fmax36868 fma 1 1000 NaN9 -> NaN9
|
|
fmax36869 fma 1 Inf +NaN10 -> NaN10
|
|
fmax36871 fma 1 sNaN11 -Inf -> NaN11 Invalid_operation
|
|
fmax36872 fma 1 sNaN12 -1000 -> NaN12 Invalid_operation
|
|
fmax36873 fma 1 sNaN13 1000 -> NaN13 Invalid_operation
|
|
fmax36874 fma 1 sNaN14 NaN17 -> NaN14 Invalid_operation
|
|
fmax36875 fma 1 sNaN15 sNaN18 -> NaN15 Invalid_operation
|
|
fmax36876 fma 1 NaN16 sNaN19 -> NaN19 Invalid_operation
|
|
fmax36877 fma 1 -Inf +sNaN20 -> NaN20 Invalid_operation
|
|
fmax36878 fma 1 -1000 sNaN21 -> NaN21 Invalid_operation
|
|
fmax36879 fma 1 1000 sNaN22 -> NaN22 Invalid_operation
|
|
fmax36880 fma 1 Inf sNaN23 -> NaN23 Invalid_operation
|
|
fmax36881 fma 1 +NaN25 +sNaN24 -> NaN24 Invalid_operation
|
|
fmax36882 fma 1 -NaN26 NaN28 -> -NaN26
|
|
fmax36883 fma 1 -sNaN27 sNaN29 -> -NaN27 Invalid_operation
|
|
fmax36884 fma 1 1000 -NaN30 -> -NaN30
|
|
fmax36885 fma 1 1000 -sNaN31 -> -NaN31 Invalid_operation
|
|
|
|
-- now the case where we can get underflow but the result is normal
|
|
-- [note this can't happen if the operands are also bounded, as we
|
|
-- cannot represent 1E-399, for example]
|
|
|
|
fmax36571 fma 1 1E-383 0 -> 1E-383
|
|
fmax36572 fma 1 1E-384 0 -> 1E-384 Subnormal
|
|
fmax36573 fma 1 1E-383 1E-384 -> 1.1E-383
|
|
fmax36574 subtract 1E-383 1E-384 -> 9E-384 Subnormal
|
|
|
|
-- Here we explore the boundary of rounding a subnormal to Nmin
|
|
fmax36575 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal
|
|
fmax36576 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal
|
|
fmax36577 subtract 1E-383 1E-399 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
|
|
fmax36578 subtract 1E-383 1E-400 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
|
|
fmax36579 subtract 1E-383 1E-401 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
|
|
fmax36580 subtract 1E-383 1E-402 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
|
|
|
|
-- check overflow edge case
|
|
-- 1234567890123456
|
|
fmax36972 apply 9.999999999999999E+384 -> 9.999999999999999E+384
|
|
fmax36973 fma 1 9.999999999999999E+384 1 -> 9.999999999999999E+384 Inexact Rounded
|
|
fmax36974 fma 1 9999999999999999E+369 1 -> 9.999999999999999E+384 Inexact Rounded
|
|
fmax36975 fma 1 9999999999999999E+369 1E+369 -> Infinity Overflow Inexact Rounded
|
|
fmax36976 fma 1 9999999999999999E+369 9E+368 -> Infinity Overflow Inexact Rounded
|
|
fmax36977 fma 1 9999999999999999E+369 8E+368 -> Infinity Overflow Inexact Rounded
|
|
fmax36978 fma 1 9999999999999999E+369 7E+368 -> Infinity Overflow Inexact Rounded
|
|
fmax36979 fma 1 9999999999999999E+369 6E+368 -> Infinity Overflow Inexact Rounded
|
|
fmax36980 fma 1 9999999999999999E+369 5E+368 -> Infinity Overflow Inexact Rounded
|
|
fmax36981 fma 1 9999999999999999E+369 4E+368 -> 9.999999999999999E+384 Inexact Rounded
|
|
fmax36982 fma 1 9999999999999999E+369 3E+368 -> 9.999999999999999E+384 Inexact Rounded
|
|
fmax36983 fma 1 9999999999999999E+369 2E+368 -> 9.999999999999999E+384 Inexact Rounded
|
|
fmax36984 fma 1 9999999999999999E+369 1E+368 -> 9.999999999999999E+384 Inexact Rounded
|
|
|
|
fmax36985 apply -9.999999999999999E+384 -> -9.999999999999999E+384
|
|
fmax36986 fma 1 -9.999999999999999E+384 -1 -> -9.999999999999999E+384 Inexact Rounded
|
|
fmax36987 fma 1 -9999999999999999E+369 -1 -> -9.999999999999999E+384 Inexact Rounded
|
|
fmax36988 fma 1 -9999999999999999E+369 -1E+369 -> -Infinity Overflow Inexact Rounded
|
|
fmax36989 fma 1 -9999999999999999E+369 -9E+368 -> -Infinity Overflow Inexact Rounded
|
|
fmax36990 fma 1 -9999999999999999E+369 -8E+368 -> -Infinity Overflow Inexact Rounded
|
|
fmax36991 fma 1 -9999999999999999E+369 -7E+368 -> -Infinity Overflow Inexact Rounded
|
|
fmax36992 fma 1 -9999999999999999E+369 -6E+368 -> -Infinity Overflow Inexact Rounded
|
|
fmax36993 fma 1 -9999999999999999E+369 -5E+368 -> -Infinity Overflow Inexact Rounded
|
|
fmax36994 fma 1 -9999999999999999E+369 -4E+368 -> -9.999999999999999E+384 Inexact Rounded
|
|
fmax36995 fma 1 -9999999999999999E+369 -3E+368 -> -9.999999999999999E+384 Inexact Rounded
|
|
fmax36996 fma 1 -9999999999999999E+369 -2E+368 -> -9.999999999999999E+384 Inexact Rounded
|
|
fmax36997 fma 1 -9999999999999999E+369 -1E+368 -> -9.999999999999999E+384 Inexact Rounded
|
|
|
|
-- And for round down full and subnormal results
|
|
rounding: down
|
|
fmax361100 fma 1 1e+2 -1e-383 -> 99.99999999999999 Rounded Inexact
|
|
fmax361101 fma 1 1e+1 -1e-383 -> 9.999999999999999 Rounded Inexact
|
|
fmax361103 fma 1 +1 -1e-383 -> 0.9999999999999999 Rounded Inexact
|
|
fmax361104 fma 1 1e-1 -1e-383 -> 0.09999999999999999 Rounded Inexact
|
|
fmax361105 fma 1 1e-2 -1e-383 -> 0.009999999999999999 Rounded Inexact
|
|
fmax361106 fma 1 1e-3 -1e-383 -> 0.0009999999999999999 Rounded Inexact
|
|
fmax361107 fma 1 1e-4 -1e-383 -> 0.00009999999999999999 Rounded Inexact
|
|
fmax361108 fma 1 1e-5 -1e-383 -> 0.000009999999999999999 Rounded Inexact
|
|
fmax361109 fma 1 1e-6 -1e-383 -> 9.999999999999999E-7 Rounded Inexact
|
|
|
|
rounding: ceiling
|
|
fmax361110 fma 1 -1e+2 +1e-383 -> -99.99999999999999 Rounded Inexact
|
|
fmax361111 fma 1 -1e+1 +1e-383 -> -9.999999999999999 Rounded Inexact
|
|
fmax361113 fma 1 -1 +1e-383 -> -0.9999999999999999 Rounded Inexact
|
|
fmax361114 fma 1 -1e-1 +1e-383 -> -0.09999999999999999 Rounded Inexact
|
|
fmax361115 fma 1 -1e-2 +1e-383 -> -0.009999999999999999 Rounded Inexact
|
|
fmax361116 fma 1 -1e-3 +1e-383 -> -0.0009999999999999999 Rounded Inexact
|
|
fmax361117 fma 1 -1e-4 +1e-383 -> -0.00009999999999999999 Rounded Inexact
|
|
fmax361118 fma 1 -1e-5 +1e-383 -> -0.000009999999999999999 Rounded Inexact
|
|
fmax361119 fma 1 -1e-6 +1e-383 -> -9.999999999999999E-7 Rounded Inexact
|
|
|
|
-- tests based on Gunnar Degnbol's edge case
|
|
rounding: half_even
|
|
|
|
fmax361300 fma 1 1E16 -0.5 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax361310 fma 1 1E16 -0.51 -> 9999999999999999 Inexact Rounded
|
|
fmax361311 fma 1 1E16 -0.501 -> 9999999999999999 Inexact Rounded
|
|
fmax361312 fma 1 1E16 -0.5001 -> 9999999999999999 Inexact Rounded
|
|
fmax361313 fma 1 1E16 -0.50001 -> 9999999999999999 Inexact Rounded
|
|
fmax361314 fma 1 1E16 -0.500001 -> 9999999999999999 Inexact Rounded
|
|
fmax361315 fma 1 1E16 -0.5000001 -> 9999999999999999 Inexact Rounded
|
|
fmax361316 fma 1 1E16 -0.50000001 -> 9999999999999999 Inexact Rounded
|
|
fmax361317 fma 1 1E16 -0.500000001 -> 9999999999999999 Inexact Rounded
|
|
fmax361318 fma 1 1E16 -0.5000000001 -> 9999999999999999 Inexact Rounded
|
|
fmax361319 fma 1 1E16 -0.50000000001 -> 9999999999999999 Inexact Rounded
|
|
fmax361320 fma 1 1E16 -0.500000000001 -> 9999999999999999 Inexact Rounded
|
|
fmax361321 fma 1 1E16 -0.5000000000001 -> 9999999999999999 Inexact Rounded
|
|
fmax361322 fma 1 1E16 -0.50000000000001 -> 9999999999999999 Inexact Rounded
|
|
fmax361323 fma 1 1E16 -0.500000000000001 -> 9999999999999999 Inexact Rounded
|
|
fmax361324 fma 1 1E16 -0.5000000000000001 -> 9999999999999999 Inexact Rounded
|
|
fmax361325 fma 1 1E16 -0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax361326 fma 1 1E16 -0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax361327 fma 1 1E16 -0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax361328 fma 1 1E16 -0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax361329 fma 1 1E16 -0.500000000000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax361330 fma 1 1E16 -0.50000000000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax361331 fma 1 1E16 -0.5000000000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax361332 fma 1 1E16 -0.500000000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax361333 fma 1 1E16 -0.50000000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax361334 fma 1 1E16 -0.5000000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax361335 fma 1 1E16 -0.500000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax361336 fma 1 1E16 -0.50000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax361337 fma 1 1E16 -0.5000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax361338 fma 1 1E16 -0.500 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax361339 fma 1 1E16 -0.50 -> 1.000000000000000E+16 Inexact Rounded
|
|
|
|
fmax361340 fma 1 1E16 -5000000.000010001 -> 9999999995000000 Inexact Rounded
|
|
fmax361341 fma 1 1E16 -5000000.000000001 -> 9999999995000000 Inexact Rounded
|
|
|
|
fmax361349 fma 1 9999999999999999 0.4 -> 9999999999999999 Inexact Rounded
|
|
fmax361350 fma 1 9999999999999999 0.49 -> 9999999999999999 Inexact Rounded
|
|
fmax361351 fma 1 9999999999999999 0.499 -> 9999999999999999 Inexact Rounded
|
|
fmax361352 fma 1 9999999999999999 0.4999 -> 9999999999999999 Inexact Rounded
|
|
fmax361353 fma 1 9999999999999999 0.49999 -> 9999999999999999 Inexact Rounded
|
|
fmax361354 fma 1 9999999999999999 0.499999 -> 9999999999999999 Inexact Rounded
|
|
fmax361355 fma 1 9999999999999999 0.4999999 -> 9999999999999999 Inexact Rounded
|
|
fmax361356 fma 1 9999999999999999 0.49999999 -> 9999999999999999 Inexact Rounded
|
|
fmax361357 fma 1 9999999999999999 0.499999999 -> 9999999999999999 Inexact Rounded
|
|
fmax361358 fma 1 9999999999999999 0.4999999999 -> 9999999999999999 Inexact Rounded
|
|
fmax361359 fma 1 9999999999999999 0.49999999999 -> 9999999999999999 Inexact Rounded
|
|
fmax361360 fma 1 9999999999999999 0.499999999999 -> 9999999999999999 Inexact Rounded
|
|
fmax361361 fma 1 9999999999999999 0.4999999999999 -> 9999999999999999 Inexact Rounded
|
|
fmax361362 fma 1 9999999999999999 0.49999999999999 -> 9999999999999999 Inexact Rounded
|
|
fmax361363 fma 1 9999999999999999 0.499999999999999 -> 9999999999999999 Inexact Rounded
|
|
fmax361364 fma 1 9999999999999999 0.4999999999999999 -> 9999999999999999 Inexact Rounded
|
|
fmax361365 fma 1 9999999999999999 0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax361367 fma 1 9999999999999999 0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax361368 fma 1 9999999999999999 0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax361369 fma 1 9999999999999999 0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax361370 fma 1 9999999999999999 0.500000000000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax361371 fma 1 9999999999999999 0.50000000000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax361372 fma 1 9999999999999999 0.5000000000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax361373 fma 1 9999999999999999 0.500000000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax361374 fma 1 9999999999999999 0.50000000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax361375 fma 1 9999999999999999 0.5000000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax361376 fma 1 9999999999999999 0.500000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax361377 fma 1 9999999999999999 0.50000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax361378 fma 1 9999999999999999 0.5000 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax361379 fma 1 9999999999999999 0.500 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax361380 fma 1 9999999999999999 0.50 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax361381 fma 1 9999999999999999 0.5 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax361382 fma 1 9999999999999999 0.5000000000000001 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax361383 fma 1 9999999999999999 0.500000000000001 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax361384 fma 1 9999999999999999 0.50000000000001 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax361385 fma 1 9999999999999999 0.5000000000001 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax361386 fma 1 9999999999999999 0.500000000001 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax361387 fma 1 9999999999999999 0.50000000001 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax361388 fma 1 9999999999999999 0.5000000001 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax361389 fma 1 9999999999999999 0.500000001 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax361390 fma 1 9999999999999999 0.50000001 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax361391 fma 1 9999999999999999 0.5000001 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax361392 fma 1 9999999999999999 0.500001 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax361393 fma 1 9999999999999999 0.50001 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax361394 fma 1 9999999999999999 0.5001 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax361395 fma 1 9999999999999999 0.501 -> 1.000000000000000E+16 Inexact Rounded
|
|
fmax361396 fma 1 9999999999999999 0.51 -> 1.000000000000000E+16 Inexact Rounded
|
|
|
|
-- More GD edge cases, where difference between the unadjusted
|
|
-- exponents is larger than the maximum precision and one side is 0
|
|
fmax361420 fma 1 0 1.123456789012345 -> 1.123456789012345
|
|
fmax361421 fma 1 0 1.123456789012345E-1 -> 0.1123456789012345
|
|
fmax361422 fma 1 0 1.123456789012345E-2 -> 0.01123456789012345
|
|
fmax361423 fma 1 0 1.123456789012345E-3 -> 0.001123456789012345
|
|
fmax361424 fma 1 0 1.123456789012345E-4 -> 0.0001123456789012345
|
|
fmax361425 fma 1 0 1.123456789012345E-5 -> 0.00001123456789012345
|
|
fmax361426 fma 1 0 1.123456789012345E-6 -> 0.000001123456789012345
|
|
fmax361427 fma 1 0 1.123456789012345E-7 -> 1.123456789012345E-7
|
|
fmax361428 fma 1 0 1.123456789012345E-8 -> 1.123456789012345E-8
|
|
fmax361429 fma 1 0 1.123456789012345E-9 -> 1.123456789012345E-9
|
|
fmax361430 fma 1 0 1.123456789012345E-10 -> 1.123456789012345E-10
|
|
fmax361431 fma 1 0 1.123456789012345E-11 -> 1.123456789012345E-11
|
|
fmax361432 fma 1 0 1.123456789012345E-12 -> 1.123456789012345E-12
|
|
fmax361433 fma 1 0 1.123456789012345E-13 -> 1.123456789012345E-13
|
|
fmax361434 fma 1 0 1.123456789012345E-14 -> 1.123456789012345E-14
|
|
fmax361435 fma 1 0 1.123456789012345E-15 -> 1.123456789012345E-15
|
|
fmax361436 fma 1 0 1.123456789012345E-16 -> 1.123456789012345E-16
|
|
fmax361437 fma 1 0 1.123456789012345E-17 -> 1.123456789012345E-17
|
|
fmax361438 fma 1 0 1.123456789012345E-18 -> 1.123456789012345E-18
|
|
fmax361439 fma 1 0 1.123456789012345E-19 -> 1.123456789012345E-19
|
|
|
|
-- same, reversed 0
|
|
fmax361440 fma 1 1.123456789012345 0 -> 1.123456789012345
|
|
fmax361441 fma 1 1.123456789012345E-1 0 -> 0.1123456789012345
|
|
fmax361442 fma 1 1.123456789012345E-2 0 -> 0.01123456789012345
|
|
fmax361443 fma 1 1.123456789012345E-3 0 -> 0.001123456789012345
|
|
fmax361444 fma 1 1.123456789012345E-4 0 -> 0.0001123456789012345
|
|
fmax361445 fma 1 1.123456789012345E-5 0 -> 0.00001123456789012345
|
|
fmax361446 fma 1 1.123456789012345E-6 0 -> 0.000001123456789012345
|
|
fmax361447 fma 1 1.123456789012345E-7 0 -> 1.123456789012345E-7
|
|
fmax361448 fma 1 1.123456789012345E-8 0 -> 1.123456789012345E-8
|
|
fmax361449 fma 1 1.123456789012345E-9 0 -> 1.123456789012345E-9
|
|
fmax361450 fma 1 1.123456789012345E-10 0 -> 1.123456789012345E-10
|
|
fmax361451 fma 1 1.123456789012345E-11 0 -> 1.123456789012345E-11
|
|
fmax361452 fma 1 1.123456789012345E-12 0 -> 1.123456789012345E-12
|
|
fmax361453 fma 1 1.123456789012345E-13 0 -> 1.123456789012345E-13
|
|
fmax361454 fma 1 1.123456789012345E-14 0 -> 1.123456789012345E-14
|
|
fmax361455 fma 1 1.123456789012345E-15 0 -> 1.123456789012345E-15
|
|
fmax361456 fma 1 1.123456789012345E-16 0 -> 1.123456789012345E-16
|
|
fmax361457 fma 1 1.123456789012345E-17 0 -> 1.123456789012345E-17
|
|
fmax361458 fma 1 1.123456789012345E-18 0 -> 1.123456789012345E-18
|
|
fmax361459 fma 1 1.123456789012345E-19 0 -> 1.123456789012345E-19
|
|
|
|
-- same, Es on the 0
|
|
fmax361460 fma 1 1.123456789012345 0E-0 -> 1.123456789012345
|
|
fmax361461 fma 1 1.123456789012345 0E-1 -> 1.123456789012345
|
|
fmax361462 fma 1 1.123456789012345 0E-2 -> 1.123456789012345
|
|
fmax361463 fma 1 1.123456789012345 0E-3 -> 1.123456789012345
|
|
fmax361464 fma 1 1.123456789012345 0E-4 -> 1.123456789012345
|
|
fmax361465 fma 1 1.123456789012345 0E-5 -> 1.123456789012345
|
|
fmax361466 fma 1 1.123456789012345 0E-6 -> 1.123456789012345
|
|
fmax361467 fma 1 1.123456789012345 0E-7 -> 1.123456789012345
|
|
fmax361468 fma 1 1.123456789012345 0E-8 -> 1.123456789012345
|
|
fmax361469 fma 1 1.123456789012345 0E-9 -> 1.123456789012345
|
|
fmax361470 fma 1 1.123456789012345 0E-10 -> 1.123456789012345
|
|
fmax361471 fma 1 1.123456789012345 0E-11 -> 1.123456789012345
|
|
fmax361472 fma 1 1.123456789012345 0E-12 -> 1.123456789012345
|
|
fmax361473 fma 1 1.123456789012345 0E-13 -> 1.123456789012345
|
|
fmax361474 fma 1 1.123456789012345 0E-14 -> 1.123456789012345
|
|
fmax361475 fma 1 1.123456789012345 0E-15 -> 1.123456789012345
|
|
-- next four flag Rounded because the 0 extends the result
|
|
fmax361476 fma 1 1.123456789012345 0E-16 -> 1.123456789012345 Rounded
|
|
fmax361477 fma 1 1.123456789012345 0E-17 -> 1.123456789012345 Rounded
|
|
fmax361478 fma 1 1.123456789012345 0E-18 -> 1.123456789012345 Rounded
|
|
fmax361479 fma 1 1.123456789012345 0E-19 -> 1.123456789012345 Rounded
|
|
|
|
-- sum of two opposite-sign operands is exactly 0 and floor => -0
|
|
rounding: half_up
|
|
-- exact zeros from zeros
|
|
fmax361500 fma 1 0 0E-19 -> 0E-19
|
|
fmax361501 fma 1 -0 0E-19 -> 0E-19
|
|
fmax361502 fma 1 0 -0E-19 -> 0E-19
|
|
fmax361503 fma 1 -0 -0E-19 -> -0E-19
|
|
fmax361504 fma 1 0E-400 0E-19 -> 0E-398 Clamped
|
|
fmax361505 fma 1 -0E-400 0E-19 -> 0E-398 Clamped
|
|
fmax361506 fma 1 0E-400 -0E-19 -> 0E-398 Clamped
|
|
fmax361507 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped
|
|
-- inexact zeros
|
|
fmax361511 fma 1 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
fmax361512 fma 1 -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
fmax361513 fma 1 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
fmax361514 fma 1 -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
-- some exact zeros from non-zeros
|
|
fmax361515 fma 1 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
fmax361516 fma 1 -1E-401 1E-401 -> 0E-398 Clamped
|
|
fmax361517 fma 1 1E-401 -1E-401 -> 0E-398 Clamped
|
|
fmax361518 fma 1 -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
|
|
rounding: half_down
|
|
-- exact zeros from zeros
|
|
fmax361520 fma 1 0 0E-19 -> 0E-19
|
|
fmax361521 fma 1 -0 0E-19 -> 0E-19
|
|
fmax361522 fma 1 0 -0E-19 -> 0E-19
|
|
fmax361523 fma 1 -0 -0E-19 -> -0E-19
|
|
fmax361524 fma 1 0E-400 0E-19 -> 0E-398 Clamped
|
|
fmax361525 fma 1 -0E-400 0E-19 -> 0E-398 Clamped
|
|
fmax361526 fma 1 0E-400 -0E-19 -> 0E-398 Clamped
|
|
fmax361527 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped
|
|
-- inexact zeros
|
|
fmax361531 fma 1 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
fmax361532 fma 1 -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
fmax361533 fma 1 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
fmax361534 fma 1 -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
-- some exact zeros from non-zeros
|
|
fmax361535 fma 1 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
fmax361536 fma 1 -1E-401 1E-401 -> 0E-398 Clamped
|
|
fmax361537 fma 1 1E-401 -1E-401 -> 0E-398 Clamped
|
|
fmax361538 fma 1 -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
|
|
rounding: half_even
|
|
-- exact zeros from zeros
|
|
fmax361540 fma 1 0 0E-19 -> 0E-19
|
|
fmax361541 fma 1 -0 0E-19 -> 0E-19
|
|
fmax361542 fma 1 0 -0E-19 -> 0E-19
|
|
fmax361543 fma 1 -0 -0E-19 -> -0E-19
|
|
fmax361544 fma 1 0E-400 0E-19 -> 0E-398 Clamped
|
|
fmax361545 fma 1 -0E-400 0E-19 -> 0E-398 Clamped
|
|
fmax361546 fma 1 0E-400 -0E-19 -> 0E-398 Clamped
|
|
fmax361547 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped
|
|
-- inexact zeros
|
|
fmax361551 fma 1 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
fmax361552 fma 1 -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
fmax361553 fma 1 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
fmax361554 fma 1 -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
-- some exact zeros from non-zeros
|
|
fmax361555 fma 1 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
fmax361556 fma 1 -1E-401 1E-401 -> 0E-398 Clamped
|
|
fmax361557 fma 1 1E-401 -1E-401 -> 0E-398 Clamped
|
|
fmax361558 fma 1 -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
|
|
rounding: up
|
|
-- exact zeros from zeros
|
|
fmax361560 fma 1 0 0E-19 -> 0E-19
|
|
fmax361561 fma 1 -0 0E-19 -> 0E-19
|
|
fmax361562 fma 1 0 -0E-19 -> 0E-19
|
|
fmax361563 fma 1 -0 -0E-19 -> -0E-19
|
|
fmax361564 fma 1 0E-400 0E-19 -> 0E-398 Clamped
|
|
fmax361565 fma 1 -0E-400 0E-19 -> 0E-398 Clamped
|
|
fmax361566 fma 1 0E-400 -0E-19 -> 0E-398 Clamped
|
|
fmax361567 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped
|
|
-- inexact zeros
|
|
fmax361571 fma 1 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
|
|
fmax361572 fma 1 -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
|
|
fmax361573 fma 1 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
|
|
fmax361574 fma 1 -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
|
|
-- some exact zeros from non-zeros
|
|
fmax361575 fma 1 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow
|
|
fmax361576 fma 1 -1E-401 1E-401 -> 0E-398 Clamped
|
|
fmax361577 fma 1 1E-401 -1E-401 -> 0E-398 Clamped
|
|
fmax361578 fma 1 -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow
|
|
|
|
rounding: down
|
|
-- exact zeros from zeros
|
|
fmax361580 fma 1 0 0E-19 -> 0E-19
|
|
fmax361581 fma 1 -0 0E-19 -> 0E-19
|
|
fmax361582 fma 1 0 -0E-19 -> 0E-19
|
|
fmax361583 fma 1 -0 -0E-19 -> -0E-19
|
|
fmax361584 fma 1 0E-400 0E-19 -> 0E-398 Clamped
|
|
fmax361585 fma 1 -0E-400 0E-19 -> 0E-398 Clamped
|
|
fmax361586 fma 1 0E-400 -0E-19 -> 0E-398 Clamped
|
|
fmax361587 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped
|
|
-- inexact zeros
|
|
fmax361591 fma 1 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
fmax361592 fma 1 -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
fmax361593 fma 1 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
fmax361594 fma 1 -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
-- some exact zeros from non-zeros
|
|
fmax361595 fma 1 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
fmax361596 fma 1 -1E-401 1E-401 -> 0E-398 Clamped
|
|
fmax361597 fma 1 1E-401 -1E-401 -> 0E-398 Clamped
|
|
fmax361598 fma 1 -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
|
|
rounding: ceiling
|
|
-- exact zeros from zeros
|
|
fmax361600 fma 1 0 0E-19 -> 0E-19
|
|
fmax361601 fma 1 -0 0E-19 -> 0E-19
|
|
fmax361602 fma 1 0 -0E-19 -> 0E-19
|
|
fmax361603 fma 1 -0 -0E-19 -> -0E-19
|
|
fmax361604 fma 1 0E-400 0E-19 -> 0E-398 Clamped
|
|
fmax361605 fma 1 -0E-400 0E-19 -> 0E-398 Clamped
|
|
fmax361606 fma 1 0E-400 -0E-19 -> 0E-398 Clamped
|
|
fmax361607 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped
|
|
-- inexact zeros
|
|
fmax361611 fma 1 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
|
|
fmax361612 fma 1 -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
|
|
fmax361613 fma 1 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
fmax361614 fma 1 -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
-- some exact zeros from non-zeros
|
|
fmax361615 fma 1 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow
|
|
fmax361616 fma 1 -1E-401 1E-401 -> 0E-398 Clamped
|
|
fmax361617 fma 1 1E-401 -1E-401 -> 0E-398 Clamped
|
|
fmax361618 fma 1 -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
|
|
-- and the extra-special ugly case; unusual minuses marked by -- *
|
|
rounding: floor
|
|
-- exact zeros from zeros
|
|
fmax361620 fma 1 0 0E-19 -> 0E-19
|
|
fmax361621 fma 1 -0 0E-19 -> -0E-19 -- *
|
|
fmax361622 fma 1 0 -0E-19 -> -0E-19 -- *
|
|
fmax361623 fma 1 -0 -0E-19 -> -0E-19
|
|
fmax361624 fma 1 0E-400 0E-19 -> 0E-398 Clamped
|
|
fmax361625 fma 1 -0E-400 0E-19 -> -0E-398 Clamped -- *
|
|
fmax361626 fma 1 0E-400 -0E-19 -> -0E-398 Clamped -- *
|
|
fmax361627 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped
|
|
-- inexact zeros
|
|
fmax361631 fma 1 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
fmax361632 fma 1 -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
|
|
fmax361633 fma 1 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
|
|
fmax361634 fma 1 -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
|
|
-- some exact zeros from non-zeros
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|
fmax361635 fma 1 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
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|
fmax361636 fma 1 -1E-401 1E-401 -> -0E-398 Clamped -- *
|
|
fmax361637 fma 1 1E-401 -1E-401 -> -0E-398 Clamped -- *
|
|
fmax361638 fma 1 -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow
|
|
|
|
-- Examples from SQL proposal (Krishna Kulkarni)
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|
fmax361701 fma 1 130E-2 120E-2 -> 2.50
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|
fmax361702 fma 1 130E-2 12E-1 -> 2.50
|
|
fmax361703 fma 1 130E-2 1E0 -> 2.30
|
|
fmax361704 fma 1 1E2 1E4 -> 1.01E+4
|
|
fmax361705 subtract 130E-2 120E-2 -> 0.10
|
|
fmax361706 subtract 130E-2 12E-1 -> 0.10
|
|
fmax361707 subtract 130E-2 1E0 -> 0.30
|
|
fmax361708 subtract 1E2 1E4 -> -9.9E+3
|
|
|
|
-- Gappy coefficients; check residue handling even with full coefficient gap
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|
rounding: half_even
|
|
|
|
fmax362001 fma 1 1234567890123456 1 -> 1234567890123457
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|
fmax362002 fma 1 1234567890123456 0.6 -> 1234567890123457 Inexact Rounded
|
|
fmax362003 fma 1 1234567890123456 0.06 -> 1234567890123456 Inexact Rounded
|
|
fmax362004 fma 1 1234567890123456 6E-3 -> 1234567890123456 Inexact Rounded
|
|
fmax362005 fma 1 1234567890123456 6E-4 -> 1234567890123456 Inexact Rounded
|
|
fmax362006 fma 1 1234567890123456 6E-5 -> 1234567890123456 Inexact Rounded
|
|
fmax362007 fma 1 1234567890123456 6E-6 -> 1234567890123456 Inexact Rounded
|
|
fmax362008 fma 1 1234567890123456 6E-7 -> 1234567890123456 Inexact Rounded
|
|
fmax362009 fma 1 1234567890123456 6E-8 -> 1234567890123456 Inexact Rounded
|
|
fmax362010 fma 1 1234567890123456 6E-9 -> 1234567890123456 Inexact Rounded
|
|
fmax362011 fma 1 1234567890123456 6E-10 -> 1234567890123456 Inexact Rounded
|
|
fmax362012 fma 1 1234567890123456 6E-11 -> 1234567890123456 Inexact Rounded
|
|
fmax362013 fma 1 1234567890123456 6E-12 -> 1234567890123456 Inexact Rounded
|
|
fmax362014 fma 1 1234567890123456 6E-13 -> 1234567890123456 Inexact Rounded
|
|
fmax362015 fma 1 1234567890123456 6E-14 -> 1234567890123456 Inexact Rounded
|
|
fmax362016 fma 1 1234567890123456 6E-15 -> 1234567890123456 Inexact Rounded
|
|
fmax362017 fma 1 1234567890123456 6E-16 -> 1234567890123456 Inexact Rounded
|
|
fmax362018 fma 1 1234567890123456 6E-17 -> 1234567890123456 Inexact Rounded
|
|
fmax362019 fma 1 1234567890123456 6E-18 -> 1234567890123456 Inexact Rounded
|
|
fmax362020 fma 1 1234567890123456 6E-19 -> 1234567890123456 Inexact Rounded
|
|
fmax362021 fma 1 1234567890123456 6E-20 -> 1234567890123456 Inexact Rounded
|
|
|
|
-- widening second argument at gap
|
|
fmax362030 fma 1 12345678 1 -> 12345679
|
|
fmax362031 fma 1 12345678 0.1 -> 12345678.1
|
|
fmax362032 fma 1 12345678 0.12 -> 12345678.12
|
|
fmax362033 fma 1 12345678 0.123 -> 12345678.123
|
|
fmax362034 fma 1 12345678 0.1234 -> 12345678.1234
|
|
fmax362035 fma 1 12345678 0.12345 -> 12345678.12345
|
|
fmax362036 fma 1 12345678 0.123456 -> 12345678.123456
|
|
fmax362037 fma 1 12345678 0.1234567 -> 12345678.1234567
|
|
fmax362038 fma 1 12345678 0.12345678 -> 12345678.12345678
|
|
fmax362039 fma 1 12345678 0.123456789 -> 12345678.12345679 Inexact Rounded
|
|
fmax362040 fma 1 12345678 0.123456785 -> 12345678.12345678 Inexact Rounded
|
|
fmax362041 fma 1 12345678 0.1234567850 -> 12345678.12345678 Inexact Rounded
|
|
fmax362042 fma 1 12345678 0.1234567851 -> 12345678.12345679 Inexact Rounded
|
|
fmax362043 fma 1 12345678 0.12345678501 -> 12345678.12345679 Inexact Rounded
|
|
fmax362044 fma 1 12345678 0.123456785001 -> 12345678.12345679 Inexact Rounded
|
|
fmax362045 fma 1 12345678 0.1234567850001 -> 12345678.12345679 Inexact Rounded
|
|
fmax362046 fma 1 12345678 0.12345678500001 -> 12345678.12345679 Inexact Rounded
|
|
fmax362047 fma 1 12345678 0.123456785000001 -> 12345678.12345679 Inexact Rounded
|
|
fmax362048 fma 1 12345678 0.1234567850000001 -> 12345678.12345679 Inexact Rounded
|
|
fmax362049 fma 1 12345678 0.1234567850000000 -> 12345678.12345678 Inexact Rounded
|
|
-- 90123456
|
|
rounding: half_even
|
|
fmax362050 fma 1 12345678 0.0234567750000000 -> 12345678.02345678 Inexact Rounded
|
|
fmax362051 fma 1 12345678 0.0034567750000000 -> 12345678.00345678 Inexact Rounded
|
|
fmax362052 fma 1 12345678 0.0004567750000000 -> 12345678.00045678 Inexact Rounded
|
|
fmax362053 fma 1 12345678 0.0000567750000000 -> 12345678.00005678 Inexact Rounded
|
|
fmax362054 fma 1 12345678 0.0000067750000000 -> 12345678.00000678 Inexact Rounded
|
|
fmax362055 fma 1 12345678 0.0000007750000000 -> 12345678.00000078 Inexact Rounded
|
|
fmax362056 fma 1 12345678 0.0000000750000000 -> 12345678.00000008 Inexact Rounded
|
|
fmax362057 fma 1 12345678 0.0000000050000000 -> 12345678.00000000 Inexact Rounded
|
|
fmax362060 fma 1 12345678 0.0234567750000001 -> 12345678.02345678 Inexact Rounded
|
|
fmax362061 fma 1 12345678 0.0034567750000001 -> 12345678.00345678 Inexact Rounded
|
|
fmax362062 fma 1 12345678 0.0004567750000001 -> 12345678.00045678 Inexact Rounded
|
|
fmax362063 fma 1 12345678 0.0000567750000001 -> 12345678.00005678 Inexact Rounded
|
|
fmax362064 fma 1 12345678 0.0000067750000001 -> 12345678.00000678 Inexact Rounded
|
|
fmax362065 fma 1 12345678 0.0000007750000001 -> 12345678.00000078 Inexact Rounded
|
|
fmax362066 fma 1 12345678 0.0000000750000001 -> 12345678.00000008 Inexact Rounded
|
|
fmax362067 fma 1 12345678 0.0000000050000001 -> 12345678.00000001 Inexact Rounded
|
|
-- far-out residues (full coefficient gap is 16+15 digits)
|
|
rounding: up
|
|
fmax362070 fma 1 12345678 1E-8 -> 12345678.00000001
|
|
fmax362071 fma 1 12345678 1E-9 -> 12345678.00000001 Inexact Rounded
|
|
fmax362072 fma 1 12345678 1E-10 -> 12345678.00000001 Inexact Rounded
|
|
fmax362073 fma 1 12345678 1E-11 -> 12345678.00000001 Inexact Rounded
|
|
fmax362074 fma 1 12345678 1E-12 -> 12345678.00000001 Inexact Rounded
|
|
fmax362075 fma 1 12345678 1E-13 -> 12345678.00000001 Inexact Rounded
|
|
fmax362076 fma 1 12345678 1E-14 -> 12345678.00000001 Inexact Rounded
|
|
fmax362077 fma 1 12345678 1E-15 -> 12345678.00000001 Inexact Rounded
|
|
fmax362078 fma 1 12345678 1E-16 -> 12345678.00000001 Inexact Rounded
|
|
fmax362079 fma 1 12345678 1E-17 -> 12345678.00000001 Inexact Rounded
|
|
fmax362080 fma 1 12345678 1E-18 -> 12345678.00000001 Inexact Rounded
|
|
fmax362081 fma 1 12345678 1E-19 -> 12345678.00000001 Inexact Rounded
|
|
fmax362082 fma 1 12345678 1E-20 -> 12345678.00000001 Inexact Rounded
|
|
fmax362083 fma 1 12345678 1E-25 -> 12345678.00000001 Inexact Rounded
|
|
fmax362084 fma 1 12345678 1E-30 -> 12345678.00000001 Inexact Rounded
|
|
fmax362085 fma 1 12345678 1E-31 -> 12345678.00000001 Inexact Rounded
|
|
fmax362086 fma 1 12345678 1E-32 -> 12345678.00000001 Inexact Rounded
|
|
fmax362087 fma 1 12345678 1E-33 -> 12345678.00000001 Inexact Rounded
|
|
fmax362088 fma 1 12345678 1E-34 -> 12345678.00000001 Inexact Rounded
|
|
fmax362089 fma 1 12345678 1E-35 -> 12345678.00000001 Inexact Rounded
|
|
|
|
-- payload decapitate x3
|
|
precision: 5
|
|
fmax363000 fma 1 1 sNaN1234567890 -> NaN67890 Invalid_operation
|
|
fmax363001 fma 1 -sNaN1234512345 1 -> -NaN12345 Invalid_operation
|
|
fmax363002 fma sNaN1234554321 1 1 -> NaN54321 Invalid_operation
|
|
|
|
-- Null tests
|
|
fmax39990 fma 1 10 # -> NaN Invalid_operation
|
|
fmax39991 fma 1 # 10 -> NaN Invalid_operation
|