1------------------------------------------------------------------------ 2-- dqFMA.decTest -- decQuad Fused Multiply Add -- 3-- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. -- 4------------------------------------------------------------------------ 5-- Please see the document "General Decimal Arithmetic Testcases" -- 6-- at http://www2.hursley.ibm.com/decimal for the description of -- 7-- these testcases. -- 8-- -- 9-- These testcases are experimental ('beta' versions), and they -- 10-- may contain errors. They are offered on an as-is basis. In -- 11-- particular, achieving the same results as the tests here is not -- 12-- a guarantee that an implementation complies with any Standard -- 13-- or specification. The tests are not exhaustive. -- 14-- -- 15-- Please send comments, suggestions, and corrections to the author: -- 16-- Mike Cowlishaw, IBM Fellow -- 17-- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK -- 18-- mfc@uk.ibm.com -- 19------------------------------------------------------------------------ 20version: 2.59 21 22extended: 1 23clamp: 1 24precision: 34 25maxExponent: 6144 26minExponent: -6143 27rounding: half_even 28 29-- These tests comprise three parts: 30-- 1. Sanity checks and other three-operand tests (especially those 31-- where the fused operation makes a difference) 32-- 2. Multiply tests (third operand is neutral zero [0E+emax]) 33-- 3. Addition tests (first operand is 1) 34-- The multiply and addition tests are extensive because FMA may have 35-- its own dedicated multiplication or addition routine(s), and they 36-- also inherently check the left-to-right properties. 37 38-- Sanity checks 39dqfma0001 fma 1 1 1 -> 2 40dqfma0002 fma 1 1 2 -> 3 41dqfma0003 fma 2 2 3 -> 7 42dqfma0004 fma 9 9 9 -> 90 43dqfma0005 fma -1 1 1 -> 0 44dqfma0006 fma -1 1 2 -> 1 45dqfma0007 fma -2 2 3 -> -1 46dqfma0008 fma -9 9 9 -> -72 47dqfma0011 fma 1 -1 1 -> 0 48dqfma0012 fma 1 -1 2 -> 1 49dqfma0013 fma 2 -2 3 -> -1 50dqfma0014 fma 9 -9 9 -> -72 51dqfma0015 fma 1 1 -1 -> 0 52dqfma0016 fma 1 1 -2 -> -1 53dqfma0017 fma 2 2 -3 -> 1 54dqfma0018 fma 9 9 -9 -> 72 55 56-- non-integer exacts 57dqfma0100 fma 25.2 63.6 -438 -> 1164.72 58dqfma0101 fma 0.301 0.380 334 -> 334.114380 59dqfma0102 fma 49.2 -4.8 23.3 -> -212.86 60dqfma0103 fma 4.22 0.079 -94.6 -> -94.26662 61dqfma0104 fma 903 0.797 0.887 -> 720.578 62dqfma0105 fma 6.13 -161 65.9 -> -921.03 63dqfma0106 fma 28.2 727 5.45 -> 20506.85 64dqfma0107 fma 4 605 688 -> 3108 65dqfma0108 fma 93.3 0.19 0.226 -> 17.953 66dqfma0109 fma 0.169 -341 5.61 -> -52.019 67dqfma0110 fma -72.2 30 -51.2 -> -2217.2 68dqfma0111 fma -0.409 13 20.4 -> 15.083 69dqfma0112 fma 317 77.0 19.0 -> 24428.0 70dqfma0113 fma 47 6.58 1.62 -> 310.88 71dqfma0114 fma 1.36 0.984 0.493 -> 1.83124 72dqfma0115 fma 72.7 274 1.56 -> 19921.36 73dqfma0116 fma 335 847 83 -> 283828 74dqfma0117 fma 666 0.247 25.4 -> 189.902 75dqfma0118 fma -3.87 3.06 78.0 -> 66.1578 76dqfma0119 fma 0.742 192 35.6 -> 178.064 77dqfma0120 fma -91.6 5.29 0.153 -> -484.411 78 79-- cases where result is different from separate multiply + add; each 80-- is preceded by the result of unfused multiply and add 81-- [this is about 20% of all similar cases in general] 82-- -> 4.500119002100000209469729375698778E+38 83dqfma0202 fma 68537985861355864457.5694 6565875762972086605.85969 35892634447236753.172812 -> 4.500119002100000209469729375698779E+38 Inexact Rounded 84-- -> 5.996248469584594346858881620185514E+41 85dqfma0208 fma 89261822344727628571.9 6717595845654131383336.89 5061036497288796076266.11 -> 5.996248469584594346858881620185513E+41 Inexact Rounded 86-- -> 1.899242968678256924021594770874070E+34 87dqfma0210 fma 320506237232448685.495971 59257597764017967.984448 3205615239077711589912.85 -> 1.899242968678256924021594770874071E+34 Inexact Rounded 88-- -> 7.078596978842809537929699954860309E+37 89dqfma0215 fma 220247843259112263.17995 321392340287987979002.80 47533279819997167655440 -> 7.078596978842809537929699954860308E+37 Inexact Rounded 90-- -> 1.224955667581427559754106862350743E+37 91dqfma0226 fma 23880729790368880412.1449 512947333827064719.55407 217117438419590824502.963 -> 1.224955667581427559754106862350744E+37 Inexact Rounded 92-- -> -2.530094043253148806272276368579144E+42 93dqfma0229 fma 2539892357016099706.4126 -996142232667504817717435 53682082598315949425.937 -> -2.530094043253148806272276368579143E+42 Inexact Rounded 94-- -> 1.713387085759711954319391412788454E+37 95dqfma0233 fma 4546339491341624464.0804 3768717864169205581 83578980278690395184.620 -> 1.713387085759711954319391412788453E+37 Inexact Rounded 96-- -> 4.062275663405823716411579117771547E+35 97dqfma0235 fma 409242119433816131.42253 992633815166741501.477249 70179636544416756129546 -> 4.062275663405823716411579117771548E+35 Inexact Rounded 98-- -> 6.002604327732568490562249875306823E+47 99dqfma0258 fma 817941336593541742159684 733867339769310729266598 78563844650942419311830.8 -> 6.002604327732568490562249875306822E+47 Inexact Rounded 100-- -> -2.027022514381452197510103395283874E+39 101dqfma0264 fma 387617310169161270.737532 -5229442703414956061216.62 57665666816652967150473.5 -> -2.027022514381452197510103395283873E+39 Inexact Rounded 102-- -> -7.856525039803554001144089842730361E+37 103dqfma0267 fma -847655845720565274701.210 92685316564117739.83984 22780950041376424429.5686 -> -7.856525039803554001144089842730360E+37 Inexact Rounded 104-- -> 1.695515562011520746125607502237559E+38 105dqfma0268 fma 21590290365127685.3675 7853139227576541379426.8 -3275859437236180.761544 -> 1.695515562011520746125607502237558E+38 Inexact Rounded 106-- -> -8.448422935783289219748115038014710E+38 107dqfma0269 fma -974320636272862697.971586 867109103641860247440.756 -9775170775902454762.98 -> -8.448422935783289219748115038014709E+38 Inexact Rounded 108 109-- Cases where multiply would overflow or underflow if separate 110dqfma0300 fma 9e+6144 10 0 -> Infinity Overflow Inexact Rounded 111dqfma0301 fma 1e+6144 10 0 -> Infinity Overflow Inexact Rounded 112dqfma0302 fma 1e+6144 10 -1e+6144 -> 9.000000000000000000000000000000000E+6144 Clamped 113dqfma0303 fma 1e+6144 10 -9e+6144 -> 1.000000000000000000000000000000000E+6144 Clamped 114-- subnormal etc. 115dqfma0305 fma 1e-6176 0.1 0 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped 116dqfma0306 fma 1e-6176 0.1 1 -> 1.000000000000000000000000000000000 Inexact Rounded 117dqfma0307 fma 1e-6176 0.1 1e-6176 -> 1E-6176 Underflow Subnormal Inexact Rounded 118 119-- Infinite combinations 120dqfma0800 fma Inf Inf Inf -> Infinity 121dqfma0801 fma Inf Inf -Inf -> NaN Invalid_operation 122dqfma0802 fma Inf -Inf Inf -> NaN Invalid_operation 123dqfma0803 fma Inf -Inf -Inf -> -Infinity 124dqfma0804 fma -Inf Inf Inf -> NaN Invalid_operation 125dqfma0805 fma -Inf Inf -Inf -> -Infinity 126dqfma0806 fma -Inf -Inf Inf -> Infinity 127dqfma0807 fma -Inf -Inf -Inf -> NaN Invalid_operation 128 129-- Triple NaN propagation 130dqfma0900 fma NaN2 NaN3 NaN5 -> NaN2 131dqfma0901 fma 0 NaN3 NaN5 -> NaN3 132dqfma0902 fma 0 0 NaN5 -> NaN5 133-- first sNaN wins (consider qNaN from earlier sNaN being 134-- overridden by an sNaN in third operand) 135dqfma0903 fma sNaN1 sNaN2 sNaN3 -> NaN1 Invalid_operation 136dqfma0904 fma 0 sNaN2 sNaN3 -> NaN2 Invalid_operation 137dqfma0905 fma 0 0 sNaN3 -> NaN3 Invalid_operation 138dqfma0906 fma sNaN1 sNaN2 sNaN3 -> NaN1 Invalid_operation 139dqfma0907 fma NaN7 sNaN2 sNaN3 -> NaN2 Invalid_operation 140dqfma0908 fma NaN7 NaN5 sNaN3 -> NaN3 Invalid_operation 141 142-- MULTIPLICATION TESTS ------------------------------------------------ 143rounding: half_even 144 145-- sanity checks 146dqfma2000 fma 2 2 0e+6144 -> 4 147dqfma2001 fma 2 3 0e+6144 -> 6 148dqfma2002 fma 5 1 0e+6144 -> 5 149dqfma2003 fma 5 2 0e+6144 -> 10 150dqfma2004 fma 1.20 2 0e+6144 -> 2.40 151dqfma2005 fma 1.20 0 0e+6144 -> 0.00 152dqfma2006 fma 1.20 -2 0e+6144 -> -2.40 153dqfma2007 fma -1.20 2 0e+6144 -> -2.40 154dqfma2008 fma -1.20 0 0e+6144 -> 0.00 155dqfma2009 fma -1.20 -2 0e+6144 -> 2.40 156dqfma2010 fma 5.09 7.1 0e+6144 -> 36.139 157dqfma2011 fma 2.5 4 0e+6144 -> 10.0 158dqfma2012 fma 2.50 4 0e+6144 -> 10.00 159dqfma2013 fma 1.23456789 1.0000000000000000000000000000 0e+6144 -> 1.234567890000000000000000000000000 Rounded 160dqfma2015 fma 2.50 4 0e+6144 -> 10.00 161dqfma2016 fma 9.99999999999999999 9.99999999999999999 0e+6144 -> 99.99999999999999980000000000000000 Inexact Rounded 162dqfma2017 fma 9.99999999999999999 -9.99999999999999999 0e+6144 -> -99.99999999999999980000000000000000 Inexact Rounded 163dqfma2018 fma -9.99999999999999999 9.99999999999999999 0e+6144 -> -99.99999999999999980000000000000000 Inexact Rounded 164dqfma2019 fma -9.99999999999999999 -9.99999999999999999 0e+6144 -> 99.99999999999999980000000000000000 Inexact Rounded 165 166-- zeros, etc. 167dqfma2021 fma 0 0 0e+6144 -> 0 168dqfma2022 fma 0 -0 0e+6144 -> 0 169dqfma2023 fma -0 0 0e+6144 -> 0 170dqfma2024 fma -0 -0 0e+6144 -> 0 171dqfma2025 fma -0.0 -0.0 0e+6144 -> 0.00 172dqfma2026 fma -0.0 -0.0 0e+6144 -> 0.00 173dqfma2027 fma -0.0 -0.0 0e+6144 -> 0.00 174dqfma2028 fma -0.0 -0.0 0e+6144 -> 0.00 175dqfma2030 fma 5.00 1E-3 0e+6144 -> 0.00500 176dqfma2031 fma 00.00 0.000 0e+6144 -> 0.00000 177dqfma2032 fma 00.00 0E-3 0e+6144 -> 0.00000 -- rhs is 0 178dqfma2033 fma 0E-3 00.00 0e+6144 -> 0.00000 -- lhs is 0 179dqfma2034 fma -5.00 1E-3 0e+6144 -> -0.00500 180dqfma2035 fma -00.00 0.000 0e+6144 -> 0.00000 181dqfma2036 fma -00.00 0E-3 0e+6144 -> 0.00000 -- rhs is 0 182dqfma2037 fma -0E-3 00.00 0e+6144 -> 0.00000 -- lhs is 0 183dqfma2038 fma 5.00 -1E-3 0e+6144 -> -0.00500 184dqfma2039 fma 00.00 -0.000 0e+6144 -> 0.00000 185dqfma2040 fma 00.00 -0E-3 0e+6144 -> 0.00000 -- rhs is 0 186dqfma2041 fma 0E-3 -00.00 0e+6144 -> 0.00000 -- lhs is 0 187dqfma2042 fma -5.00 -1E-3 0e+6144 -> 0.00500 188dqfma2043 fma -00.00 -0.000 0e+6144 -> 0.00000 189dqfma2044 fma -00.00 -0E-3 0e+6144 -> 0.00000 -- rhs is 0 190dqfma2045 fma -0E-3 -00.00 0e+6144 -> 0.00000 -- lhs is 0 191 192-- examples from decarith 193dqfma2050 fma 1.20 3 0e+6144 -> 3.60 194dqfma2051 fma 7 3 0e+6144 -> 21 195dqfma2052 fma 0.9 0.8 0e+6144 -> 0.72 196dqfma2053 fma 0.9 -0 0e+6144 -> 0.0 197dqfma2054 fma 654321 654321 0e+6144 -> 428135971041 198 199dqfma2060 fma 123.45 1e7 0e+6144 -> 1.2345E+9 200dqfma2061 fma 123.45 1e8 0e+6144 -> 1.2345E+10 201dqfma2062 fma 123.45 1e+9 0e+6144 -> 1.2345E+11 202dqfma2063 fma 123.45 1e10 0e+6144 -> 1.2345E+12 203dqfma2064 fma 123.45 1e11 0e+6144 -> 1.2345E+13 204dqfma2065 fma 123.45 1e12 0e+6144 -> 1.2345E+14 205dqfma2066 fma 123.45 1e13 0e+6144 -> 1.2345E+15 206 207 208-- test some intermediate lengths 209-- 1234567890123456 210dqfma2080 fma 0.1 1230123456456789 0e+6144 -> 123012345645678.9 211dqfma2084 fma 0.1 1230123456456789 0e+6144 -> 123012345645678.9 212dqfma2090 fma 1230123456456789 0.1 0e+6144 -> 123012345645678.9 213dqfma2094 fma 1230123456456789 0.1 0e+6144 -> 123012345645678.9 214 215-- test some more edge cases and carries 216dqfma2101 fma 9 9 0e+6144 -> 81 217dqfma2102 fma 9 90 0e+6144 -> 810 218dqfma2103 fma 9 900 0e+6144 -> 8100 219dqfma2104 fma 9 9000 0e+6144 -> 81000 220dqfma2105 fma 9 90000 0e+6144 -> 810000 221dqfma2106 fma 9 900000 0e+6144 -> 8100000 222dqfma2107 fma 9 9000000 0e+6144 -> 81000000 223dqfma2108 fma 9 90000000 0e+6144 -> 810000000 224dqfma2109 fma 9 900000000 0e+6144 -> 8100000000 225dqfma2110 fma 9 9000000000 0e+6144 -> 81000000000 226dqfma2111 fma 9 90000000000 0e+6144 -> 810000000000 227dqfma2112 fma 9 900000000000 0e+6144 -> 8100000000000 228dqfma2113 fma 9 9000000000000 0e+6144 -> 81000000000000 229dqfma2114 fma 9 90000000000000 0e+6144 -> 810000000000000 230dqfma2115 fma 9 900000000000000 0e+6144 -> 8100000000000000 231--dqfma2116 fma 9 9000000000000000 0e+6144 -> 81000000000000000 232--dqfma2117 fma 9 90000000000000000 0e+6144 -> 810000000000000000 233--dqfma2118 fma 9 900000000000000000 0e+6144 -> 8100000000000000000 234--dqfma2119 fma 9 9000000000000000000 0e+6144 -> 81000000000000000000 235--dqfma2120 fma 9 90000000000000000000 0e+6144 -> 810000000000000000000 236--dqfma2121 fma 9 900000000000000000000 0e+6144 -> 8100000000000000000000 237--dqfma2122 fma 9 9000000000000000000000 0e+6144 -> 81000000000000000000000 238--dqfma2123 fma 9 90000000000000000000000 0e+6144 -> 810000000000000000000000 239-- test some more edge cases without carries 240dqfma2131 fma 3 3 0e+6144 -> 9 241dqfma2132 fma 3 30 0e+6144 -> 90 242dqfma2133 fma 3 300 0e+6144 -> 900 243dqfma2134 fma 3 3000 0e+6144 -> 9000 244dqfma2135 fma 3 30000 0e+6144 -> 90000 245dqfma2136 fma 3 300000 0e+6144 -> 900000 246dqfma2137 fma 3 3000000 0e+6144 -> 9000000 247dqfma2138 fma 3 30000000 0e+6144 -> 90000000 248dqfma2139 fma 3 300000000 0e+6144 -> 900000000 249dqfma2140 fma 3 3000000000 0e+6144 -> 9000000000 250dqfma2141 fma 3 30000000000 0e+6144 -> 90000000000 251dqfma2142 fma 3 300000000000 0e+6144 -> 900000000000 252dqfma2143 fma 3 3000000000000 0e+6144 -> 9000000000000 253dqfma2144 fma 3 30000000000000 0e+6144 -> 90000000000000 254dqfma2145 fma 3 300000000000000 0e+6144 -> 900000000000000 255dqfma2146 fma 3 3000000000000000 0e+6144 -> 9000000000000000 256dqfma2147 fma 3 30000000000000000 0e+6144 -> 90000000000000000 257dqfma2148 fma 3 300000000000000000 0e+6144 -> 900000000000000000 258dqfma2149 fma 3 3000000000000000000 0e+6144 -> 9000000000000000000 259dqfma2150 fma 3 30000000000000000000 0e+6144 -> 90000000000000000000 260dqfma2151 fma 3 300000000000000000000 0e+6144 -> 900000000000000000000 261dqfma2152 fma 3 3000000000000000000000 0e+6144 -> 9000000000000000000000 262dqfma2153 fma 3 30000000000000000000000 0e+6144 -> 90000000000000000000000 263 264dqfma2263 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0e+6144 -> 145433.2908011933696719165119928296 Inexact Rounded 265 266-- test some edge cases with exact rounding 267dqfma2301 fma 900000000000000000 9 0e+6144 -> 8100000000000000000 268dqfma2302 fma 900000000000000000 90 0e+6144 -> 81000000000000000000 269dqfma2303 fma 900000000000000000 900 0e+6144 -> 810000000000000000000 270dqfma2304 fma 900000000000000000 9000 0e+6144 -> 8100000000000000000000 271dqfma2305 fma 900000000000000000 90000 0e+6144 -> 81000000000000000000000 272dqfma2306 fma 900000000000000000 900000 0e+6144 -> 810000000000000000000000 273dqfma2307 fma 900000000000000000 9000000 0e+6144 -> 8100000000000000000000000 274dqfma2308 fma 900000000000000000 90000000 0e+6144 -> 81000000000000000000000000 275dqfma2309 fma 900000000000000000 900000000 0e+6144 -> 810000000000000000000000000 276dqfma2310 fma 900000000000000000 9000000000 0e+6144 -> 8100000000000000000000000000 277dqfma2311 fma 900000000000000000 90000000000 0e+6144 -> 81000000000000000000000000000 278dqfma2312 fma 900000000000000000 900000000000 0e+6144 -> 810000000000000000000000000000 279dqfma2313 fma 900000000000000000 9000000000000 0e+6144 -> 8100000000000000000000000000000 280dqfma2314 fma 900000000000000000 90000000000000 0e+6144 -> 81000000000000000000000000000000 281dqfma2315 fma 900000000000000000 900000000000000 0e+6144 -> 810000000000000000000000000000000 282dqfma2316 fma 900000000000000000 9000000000000000 0e+6144 -> 8100000000000000000000000000000000 283dqfma2317 fma 9000000000000000000 9000000000000000 0e+6144 -> 8.100000000000000000000000000000000E+34 Rounded 284dqfma2318 fma 90000000000000000000 9000000000000000 0e+6144 -> 8.100000000000000000000000000000000E+35 Rounded 285dqfma2319 fma 900000000000000000000 9000000000000000 0e+6144 -> 8.100000000000000000000000000000000E+36 Rounded 286dqfma2320 fma 9000000000000000000000 9000000000000000 0e+6144 -> 8.100000000000000000000000000000000E+37 Rounded 287dqfma2321 fma 90000000000000000000000 9000000000000000 0e+6144 -> 8.100000000000000000000000000000000E+38 Rounded 288dqfma2322 fma 900000000000000000000000 9000000000000000 0e+6144 -> 8.100000000000000000000000000000000E+39 Rounded 289dqfma2323 fma 9000000000000000000000000 9000000000000000 0e+6144 -> 8.100000000000000000000000000000000E+40 Rounded 290 291-- tryzeros cases 292dqfma2504 fma 0E-4260 1000E-4260 0e+6144 -> 0E-6176 Clamped 293dqfma2505 fma 100E+4260 0E+4260 0e+6144 -> 0E+6111 Clamped 294 295-- mixed with zeros 296dqfma2541 fma 0 -1 0e+6144 -> 0 297dqfma2542 fma -0 -1 0e+6144 -> 0 298dqfma2543 fma 0 1 0e+6144 -> 0 299dqfma2544 fma -0 1 0e+6144 -> 0 300dqfma2545 fma -1 0 0e+6144 -> 0 301dqfma2546 fma -1 -0 0e+6144 -> 0 302dqfma2547 fma 1 0 0e+6144 -> 0 303dqfma2548 fma 1 -0 0e+6144 -> 0 304 305dqfma2551 fma 0.0 -1 0e+6144 -> 0.0 306dqfma2552 fma -0.0 -1 0e+6144 -> 0.0 307dqfma2553 fma 0.0 1 0e+6144 -> 0.0 308dqfma2554 fma -0.0 1 0e+6144 -> 0.0 309dqfma2555 fma -1.0 0 0e+6144 -> 0.0 310dqfma2556 fma -1.0 -0 0e+6144 -> 0.0 311dqfma2557 fma 1.0 0 0e+6144 -> 0.0 312dqfma2558 fma 1.0 -0 0e+6144 -> 0.0 313 314dqfma2561 fma 0 -1.0 0e+6144 -> 0.0 315dqfma2562 fma -0 -1.0 0e+6144 -> 0.0 316dqfma2563 fma 0 1.0 0e+6144 -> 0.0 317dqfma2564 fma -0 1.0 0e+6144 -> 0.0 318dqfma2565 fma -1 0.0 0e+6144 -> 0.0 319dqfma2566 fma -1 -0.0 0e+6144 -> 0.0 320dqfma2567 fma 1 0.0 0e+6144 -> 0.0 321dqfma2568 fma 1 -0.0 0e+6144 -> 0.0 322 323dqfma2571 fma 0.0 -1.0 0e+6144 -> 0.00 324dqfma2572 fma -0.0 -1.0 0e+6144 -> 0.00 325dqfma2573 fma 0.0 1.0 0e+6144 -> 0.00 326dqfma2574 fma -0.0 1.0 0e+6144 -> 0.00 327dqfma2575 fma -1.0 0.0 0e+6144 -> 0.00 328dqfma2576 fma -1.0 -0.0 0e+6144 -> 0.00 329dqfma2577 fma 1.0 0.0 0e+6144 -> 0.00 330dqfma2578 fma 1.0 -0.0 0e+6144 -> 0.00 331dqfma2579 fma 1.0 0.0 0e+6144 -> 0.00 332dqfma2530 fma -1.0 -0.0 0e+6144 -> 0.00 333dqfma2531 fma -1.0 0.0 0e+6144 -> 0.00 334dqfma2532 fma 1.0 -0.0 -0e+6144 -> -0.00 335dqfma2533 fma 1.0 0.0 -0e+6144 -> 0.00 336dqfma2534 fma -1.0 -0.0 -0e+6144 -> 0.00 337dqfma2535 fma -1.0 0.0 -0e+6144 -> -0.00 338 339 340-- Specials 341dqfma2580 fma Inf -Inf 0e+6144 -> -Infinity 342dqfma2581 fma Inf -1000 0e+6144 -> -Infinity 343dqfma2582 fma Inf -1 0e+6144 -> -Infinity 344dqfma2583 fma Inf -0 0e+6144 -> NaN Invalid_operation 345dqfma2584 fma Inf 0 0e+6144 -> NaN Invalid_operation 346dqfma2585 fma Inf 1 0e+6144 -> Infinity 347dqfma2586 fma Inf 1000 0e+6144 -> Infinity 348dqfma2587 fma Inf Inf 0e+6144 -> Infinity 349dqfma2588 fma -1000 Inf 0e+6144 -> -Infinity 350dqfma2589 fma -Inf Inf 0e+6144 -> -Infinity 351dqfma2590 fma -1 Inf 0e+6144 -> -Infinity 352dqfma2591 fma -0 Inf 0e+6144 -> NaN Invalid_operation 353dqfma2592 fma 0 Inf 0e+6144 -> NaN Invalid_operation 354dqfma2593 fma 1 Inf 0e+6144 -> Infinity 355dqfma2594 fma 1000 Inf 0e+6144 -> Infinity 356dqfma2595 fma Inf Inf 0e+6144 -> Infinity 357 358dqfma2600 fma -Inf -Inf 0e+6144 -> Infinity 359dqfma2601 fma -Inf -1000 0e+6144 -> Infinity 360dqfma2602 fma -Inf -1 0e+6144 -> Infinity 361dqfma2603 fma -Inf -0 0e+6144 -> NaN Invalid_operation 362dqfma2604 fma -Inf 0 0e+6144 -> NaN Invalid_operation 363dqfma2605 fma -Inf 1 0e+6144 -> -Infinity 364dqfma2606 fma -Inf 1000 0e+6144 -> -Infinity 365dqfma2607 fma -Inf Inf 0e+6144 -> -Infinity 366dqfma2608 fma -1000 Inf 0e+6144 -> -Infinity 367dqfma2609 fma -Inf -Inf 0e+6144 -> Infinity 368dqfma2610 fma -1 -Inf 0e+6144 -> Infinity 369dqfma2611 fma -0 -Inf 0e+6144 -> NaN Invalid_operation 370dqfma2612 fma 0 -Inf 0e+6144 -> NaN Invalid_operation 371dqfma2613 fma 1 -Inf 0e+6144 -> -Infinity 372dqfma2614 fma 1000 -Inf 0e+6144 -> -Infinity 373dqfma2615 fma Inf -Inf 0e+6144 -> -Infinity 374 375dqfma2621 fma NaN -Inf 0e+6144 -> NaN 376dqfma2622 fma NaN -1000 0e+6144 -> NaN 377dqfma2623 fma NaN -1 0e+6144 -> NaN 378dqfma2624 fma NaN -0 0e+6144 -> NaN 379dqfma2625 fma NaN 0 0e+6144 -> NaN 380dqfma2626 fma NaN 1 0e+6144 -> NaN 381dqfma2627 fma NaN 1000 0e+6144 -> NaN 382dqfma2628 fma NaN Inf 0e+6144 -> NaN 383dqfma2629 fma NaN NaN 0e+6144 -> NaN 384dqfma2630 fma -Inf NaN 0e+6144 -> NaN 385dqfma2631 fma -1000 NaN 0e+6144 -> NaN 386dqfma2632 fma -1 NaN 0e+6144 -> NaN 387dqfma2633 fma -0 NaN 0e+6144 -> NaN 388dqfma2634 fma 0 NaN 0e+6144 -> NaN 389dqfma2635 fma 1 NaN 0e+6144 -> NaN 390dqfma2636 fma 1000 NaN 0e+6144 -> NaN 391dqfma2637 fma Inf NaN 0e+6144 -> NaN 392 393dqfma2641 fma sNaN -Inf 0e+6144 -> NaN Invalid_operation 394dqfma2642 fma sNaN -1000 0e+6144 -> NaN Invalid_operation 395dqfma2643 fma sNaN -1 0e+6144 -> NaN Invalid_operation 396dqfma2644 fma sNaN -0 0e+6144 -> NaN Invalid_operation 397dqfma2645 fma sNaN 0 0e+6144 -> NaN Invalid_operation 398dqfma2646 fma sNaN 1 0e+6144 -> NaN Invalid_operation 399dqfma2647 fma sNaN 1000 0e+6144 -> NaN Invalid_operation 400dqfma2648 fma sNaN NaN 0e+6144 -> NaN Invalid_operation 401dqfma2649 fma sNaN sNaN 0e+6144 -> NaN Invalid_operation 402dqfma2650 fma NaN sNaN 0e+6144 -> NaN Invalid_operation 403dqfma2651 fma -Inf sNaN 0e+6144 -> NaN Invalid_operation 404dqfma2652 fma -1000 sNaN 0e+6144 -> NaN Invalid_operation 405dqfma2653 fma -1 sNaN 0e+6144 -> NaN Invalid_operation 406dqfma2654 fma -0 sNaN 0e+6144 -> NaN Invalid_operation 407dqfma2655 fma 0 sNaN 0e+6144 -> NaN Invalid_operation 408dqfma2656 fma 1 sNaN 0e+6144 -> NaN Invalid_operation 409dqfma2657 fma 1000 sNaN 0e+6144 -> NaN Invalid_operation 410dqfma2658 fma Inf sNaN 0e+6144 -> NaN Invalid_operation 411dqfma2659 fma NaN sNaN 0e+6144 -> NaN Invalid_operation 412 413-- propagating NaNs 414dqfma2661 fma NaN9 -Inf 0e+6144 -> NaN9 415dqfma2662 fma NaN8 999 0e+6144 -> NaN8 416dqfma2663 fma NaN71 Inf 0e+6144 -> NaN71 417dqfma2664 fma NaN6 NaN5 0e+6144 -> NaN6 418dqfma2665 fma -Inf NaN4 0e+6144 -> NaN4 419dqfma2666 fma -999 NaN33 0e+6144 -> NaN33 420dqfma2667 fma Inf NaN2 0e+6144 -> NaN2 421 422dqfma2671 fma sNaN99 -Inf 0e+6144 -> NaN99 Invalid_operation 423dqfma2672 fma sNaN98 -11 0e+6144 -> NaN98 Invalid_operation 424dqfma2673 fma sNaN97 NaN 0e+6144 -> NaN97 Invalid_operation 425dqfma2674 fma sNaN16 sNaN94 0e+6144 -> NaN16 Invalid_operation 426dqfma2675 fma NaN95 sNaN93 0e+6144 -> NaN93 Invalid_operation 427dqfma2676 fma -Inf sNaN92 0e+6144 -> NaN92 Invalid_operation 428dqfma2677 fma 088 sNaN91 0e+6144 -> NaN91 Invalid_operation 429dqfma2678 fma Inf sNaN90 0e+6144 -> NaN90 Invalid_operation 430dqfma2679 fma NaN sNaN89 0e+6144 -> NaN89 Invalid_operation 431 432dqfma2681 fma -NaN9 -Inf 0e+6144 -> -NaN9 433dqfma2682 fma -NaN8 999 0e+6144 -> -NaN8 434dqfma2683 fma -NaN71 Inf 0e+6144 -> -NaN71 435dqfma2684 fma -NaN6 -NaN5 0e+6144 -> -NaN6 436dqfma2685 fma -Inf -NaN4 0e+6144 -> -NaN4 437dqfma2686 fma -999 -NaN33 0e+6144 -> -NaN33 438dqfma2687 fma Inf -NaN2 0e+6144 -> -NaN2 439 440dqfma2691 fma -sNaN99 -Inf 0e+6144 -> -NaN99 Invalid_operation 441dqfma2692 fma -sNaN98 -11 0e+6144 -> -NaN98 Invalid_operation 442dqfma2693 fma -sNaN97 NaN 0e+6144 -> -NaN97 Invalid_operation 443dqfma2694 fma -sNaN16 -sNaN94 0e+6144 -> -NaN16 Invalid_operation 444dqfma2695 fma -NaN95 -sNaN93 0e+6144 -> -NaN93 Invalid_operation 445dqfma2696 fma -Inf -sNaN92 0e+6144 -> -NaN92 Invalid_operation 446dqfma2697 fma 088 -sNaN91 0e+6144 -> -NaN91 Invalid_operation 447dqfma2698 fma Inf -sNaN90 0e+6144 -> -NaN90 Invalid_operation 448dqfma2699 fma -NaN -sNaN89 0e+6144 -> -NaN89 Invalid_operation 449 450dqfma2701 fma -NaN -Inf 0e+6144 -> -NaN 451dqfma2702 fma -NaN 999 0e+6144 -> -NaN 452dqfma2703 fma -NaN Inf 0e+6144 -> -NaN 453dqfma2704 fma -NaN -NaN 0e+6144 -> -NaN 454dqfma2705 fma -Inf -NaN0 0e+6144 -> -NaN 455dqfma2706 fma -999 -NaN 0e+6144 -> -NaN 456dqfma2707 fma Inf -NaN 0e+6144 -> -NaN 457 458dqfma2711 fma -sNaN -Inf 0e+6144 -> -NaN Invalid_operation 459dqfma2712 fma -sNaN -11 0e+6144 -> -NaN Invalid_operation 460dqfma2713 fma -sNaN00 NaN 0e+6144 -> -NaN Invalid_operation 461dqfma2714 fma -sNaN -sNaN 0e+6144 -> -NaN Invalid_operation 462dqfma2715 fma -NaN -sNaN 0e+6144 -> -NaN Invalid_operation 463dqfma2716 fma -Inf -sNaN 0e+6144 -> -NaN Invalid_operation 464dqfma2717 fma 088 -sNaN 0e+6144 -> -NaN Invalid_operation 465dqfma2718 fma Inf -sNaN 0e+6144 -> -NaN Invalid_operation 466dqfma2719 fma -NaN -sNaN 0e+6144 -> -NaN Invalid_operation 467 468-- overflow and underflow tests .. note subnormal results 469-- signs 470dqfma2751 fma 1e+4277 1e+3311 0e+6144 -> Infinity Overflow Inexact Rounded 471dqfma2752 fma 1e+4277 -1e+3311 0e+6144 -> -Infinity Overflow Inexact Rounded 472dqfma2753 fma -1e+4277 1e+3311 0e+6144 -> -Infinity Overflow Inexact Rounded 473dqfma2754 fma -1e+4277 -1e+3311 0e+6144 -> Infinity Overflow Inexact Rounded 474dqfma2755 fma 1e-4277 1e-3311 0e+6144 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped 475dqfma2756 fma 1e-4277 -1e-3311 0e+6144 -> -0E-6176 Underflow Subnormal Inexact Rounded Clamped 476dqfma2757 fma -1e-4277 1e-3311 0e+6144 -> -0E-6176 Underflow Subnormal Inexact Rounded Clamped 477dqfma2758 fma -1e-4277 -1e-3311 0e+6144 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped 478 479-- 'subnormal' boundary (all hard underflow or overflow in base arithmetic) 480dqfma2760 fma 1e-6069 1e-101 0e+6144 -> 1E-6170 Subnormal 481dqfma2761 fma 1e-6069 1e-102 0e+6144 -> 1E-6171 Subnormal 482dqfma2762 fma 1e-6069 1e-103 0e+6144 -> 1E-6172 Subnormal 483dqfma2763 fma 1e-6069 1e-104 0e+6144 -> 1E-6173 Subnormal 484dqfma2764 fma 1e-6069 1e-105 0e+6144 -> 1E-6174 Subnormal 485dqfma2765 fma 1e-6069 1e-106 0e+6144 -> 1E-6175 Subnormal 486dqfma2766 fma 1e-6069 1e-107 0e+6144 -> 1E-6176 Subnormal 487dqfma2767 fma 1e-6069 1e-108 0e+6144 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped 488dqfma2768 fma 1e-6069 1e-109 0e+6144 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped 489dqfma2769 fma 1e-6069 1e-110 0e+6144 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped 490-- [no equivalent of 'subnormal' for overflow] 491dqfma2770 fma 1e+40 1e+6101 0e+6144 -> 1.000000000000000000000000000000E+6141 Clamped 492dqfma2771 fma 1e+40 1e+6102 0e+6144 -> 1.0000000000000000000000000000000E+6142 Clamped 493dqfma2772 fma 1e+40 1e+6103 0e+6144 -> 1.00000000000000000000000000000000E+6143 Clamped 494dqfma2773 fma 1e+40 1e+6104 0e+6144 -> 1.000000000000000000000000000000000E+6144 Clamped 495dqfma2774 fma 1e+40 1e+6105 0e+6144 -> Infinity Overflow Inexact Rounded 496dqfma2775 fma 1e+40 1e+6106 0e+6144 -> Infinity Overflow Inexact Rounded 497dqfma2776 fma 1e+40 1e+6107 0e+6144 -> Infinity Overflow Inexact Rounded 498dqfma2777 fma 1e+40 1e+6108 0e+6144 -> Infinity Overflow Inexact Rounded 499dqfma2778 fma 1e+40 1e+6109 0e+6144 -> Infinity Overflow Inexact Rounded 500dqfma2779 fma 1e+40 1e+6110 0e+6144 -> Infinity Overflow Inexact Rounded 501 502dqfma2801 fma 1.0000E-6172 1 0e+6144 -> 1.0000E-6172 Subnormal 503dqfma2802 fma 1.000E-6172 1e-1 0e+6144 -> 1.000E-6173 Subnormal 504dqfma2803 fma 1.00E-6172 1e-2 0e+6144 -> 1.00E-6174 Subnormal 505dqfma2804 fma 1.0E-6172 1e-3 0e+6144 -> 1.0E-6175 Subnormal 506dqfma2805 fma 1.0E-6172 1e-4 0e+6144 -> 1E-6176 Subnormal Rounded 507dqfma2806 fma 1.3E-6172 1e-4 0e+6144 -> 1E-6176 Underflow Subnormal Inexact Rounded 508dqfma2807 fma 1.5E-6172 1e-4 0e+6144 -> 2E-6176 Underflow Subnormal Inexact Rounded 509dqfma2808 fma 1.7E-6172 1e-4 0e+6144 -> 2E-6176 Underflow Subnormal Inexact Rounded 510dqfma2809 fma 2.3E-6172 1e-4 0e+6144 -> 2E-6176 Underflow Subnormal Inexact Rounded 511dqfma2810 fma 2.5E-6172 1e-4 0e+6144 -> 2E-6176 Underflow Subnormal Inexact Rounded 512dqfma2811 fma 2.7E-6172 1e-4 0e+6144 -> 3E-6176 Underflow Subnormal Inexact Rounded 513dqfma2812 fma 1.49E-6172 1e-4 0e+6144 -> 1E-6176 Underflow Subnormal Inexact Rounded 514dqfma2813 fma 1.50E-6172 1e-4 0e+6144 -> 2E-6176 Underflow Subnormal Inexact Rounded 515dqfma2814 fma 1.51E-6172 1e-4 0e+6144 -> 2E-6176 Underflow Subnormal Inexact Rounded 516dqfma2815 fma 2.49E-6172 1e-4 0e+6144 -> 2E-6176 Underflow Subnormal Inexact Rounded 517dqfma2816 fma 2.50E-6172 1e-4 0e+6144 -> 2E-6176 Underflow Subnormal Inexact Rounded 518dqfma2817 fma 2.51E-6172 1e-4 0e+6144 -> 3E-6176 Underflow Subnormal Inexact Rounded 519 520dqfma2818 fma 1E-6172 1e-4 0e+6144 -> 1E-6176 Subnormal 521dqfma2819 fma 3E-6172 1e-5 0e+6144 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped 522dqfma2820 fma 5E-6172 1e-5 0e+6144 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped 523dqfma2821 fma 7E-6172 1e-5 0e+6144 -> 1E-6176 Underflow Subnormal Inexact Rounded 524dqfma2822 fma 9E-6172 1e-5 0e+6144 -> 1E-6176 Underflow Subnormal Inexact Rounded 525dqfma2823 fma 9.9E-6172 1e-5 0e+6144 -> 1E-6176 Underflow Subnormal Inexact Rounded 526 527dqfma2824 fma 1E-6172 -1e-4 0e+6144 -> -1E-6176 Subnormal 528dqfma2825 fma 3E-6172 -1e-5 0e+6144 -> -0E-6176 Underflow Subnormal Inexact Rounded Clamped 529dqfma2826 fma -5E-6172 1e-5 0e+6144 -> -0E-6176 Underflow Subnormal Inexact Rounded Clamped 530dqfma2827 fma 7E-6172 -1e-5 0e+6144 -> -1E-6176 Underflow Subnormal Inexact Rounded 531dqfma2828 fma -9E-6172 1e-5 0e+6144 -> -1E-6176 Underflow Subnormal Inexact Rounded 532dqfma2829 fma 9.9E-6172 -1e-5 0e+6144 -> -1E-6176 Underflow Subnormal Inexact Rounded 533dqfma2830 fma 3.0E-6172 -1e-5 0e+6144 -> -0E-6176 Underflow Subnormal Inexact Rounded Clamped 534 535dqfma2831 fma 1.0E-5977 1e-200 0e+6144 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped 536dqfma2832 fma 1.0E-5977 1e-199 0e+6144 -> 1E-6176 Subnormal Rounded 537dqfma2833 fma 1.0E-5977 1e-198 0e+6144 -> 1.0E-6175 Subnormal 538dqfma2834 fma 2.0E-5977 2e-198 0e+6144 -> 4.0E-6175 Subnormal 539dqfma2835 fma 4.0E-5977 4e-198 0e+6144 -> 1.60E-6174 Subnormal 540dqfma2836 fma 10.0E-5977 10e-198 0e+6144 -> 1.000E-6173 Subnormal 541dqfma2837 fma 30.0E-5977 30e-198 0e+6144 -> 9.000E-6173 Subnormal 542dqfma2838 fma 40.0E-5982 40e-166 0e+6144 -> 1.6000E-6145 Subnormal 543dqfma2839 fma 40.0E-5982 40e-165 0e+6144 -> 1.6000E-6144 Subnormal 544dqfma2840 fma 40.0E-5982 40e-164 0e+6144 -> 1.6000E-6143 545 546-- Long operand overflow may be a different path 547dqfma2870 fma 100 9.999E+6143 0e+6144 -> Infinity Inexact Overflow Rounded 548dqfma2871 fma 100 -9.999E+6143 0e+6144 -> -Infinity Inexact Overflow Rounded 549dqfma2872 fma 9.999E+6143 100 0e+6144 -> Infinity Inexact Overflow Rounded 550dqfma2873 fma -9.999E+6143 100 0e+6144 -> -Infinity Inexact Overflow Rounded 551 552-- check for double-rounded subnormals 553dqfma2881 fma 1.2347E-6133 1.2347E-40 0e+6144 -> 1.524E-6173 Inexact Rounded Subnormal Underflow 554dqfma2882 fma 1.234E-6133 1.234E-40 0e+6144 -> 1.523E-6173 Inexact Rounded Subnormal Underflow 555dqfma2883 fma 1.23E-6133 1.23E-40 0e+6144 -> 1.513E-6173 Inexact Rounded Subnormal Underflow 556dqfma2884 fma 1.2E-6133 1.2E-40 0e+6144 -> 1.44E-6173 Subnormal 557dqfma2885 fma 1.2E-6133 1.2E-41 0e+6144 -> 1.44E-6174 Subnormal 558dqfma2886 fma 1.2E-6133 1.2E-42 0e+6144 -> 1.4E-6175 Subnormal Inexact Rounded Underflow 559dqfma2887 fma 1.2E-6133 1.3E-42 0e+6144 -> 1.6E-6175 Subnormal Inexact Rounded Underflow 560dqfma2888 fma 1.3E-6133 1.3E-42 0e+6144 -> 1.7E-6175 Subnormal Inexact Rounded Underflow 561dqfma2889 fma 1.3E-6133 1.3E-43 0e+6144 -> 2E-6176 Subnormal Inexact Rounded Underflow 562dqfma2890 fma 1.3E-6134 1.3E-43 0e+6144 -> 0E-6176 Clamped Subnormal Inexact Rounded Underflow 563 564dqfma2891 fma 1.2345E-39 1.234E-6133 0e+6144 -> 1.5234E-6172 Inexact Rounded Subnormal Underflow 565dqfma2892 fma 1.23456E-39 1.234E-6133 0e+6144 -> 1.5234E-6172 Inexact Rounded Subnormal Underflow 566dqfma2893 fma 1.2345E-40 1.234E-6133 0e+6144 -> 1.523E-6173 Inexact Rounded Subnormal Underflow 567dqfma2894 fma 1.23456E-40 1.234E-6133 0e+6144 -> 1.523E-6173 Inexact Rounded Subnormal Underflow 568dqfma2895 fma 1.2345E-41 1.234E-6133 0e+6144 -> 1.52E-6174 Inexact Rounded Subnormal Underflow 569dqfma2896 fma 1.23456E-41 1.234E-6133 0e+6144 -> 1.52E-6174 Inexact Rounded Subnormal Underflow 570 571-- Now explore the case where we get a normal result with Underflow 572-- prove operands are exact 573dqfma2906 fma 9.999999999999999999999999999999999E-6143 1 0e+6144 -> 9.999999999999999999999999999999999E-6143 574dqfma2907 fma 1 0.09999999999999999999999999999999999 0e+6144 -> 0.09999999999999999999999999999999999 575-- the next rounds to Nmin 576dqfma2908 fma 9.999999999999999999999999999999999E-6143 0.09999999999999999999999999999999999 0e+6144 -> 1.000000000000000000000000000000000E-6143 Underflow Inexact Subnormal Rounded 577 578-- hugest 579dqfma2909 fma 9999999999999999999999999999999999 9999999999999999999999999999999999 0e+6144 -> 9.999999999999999999999999999999998E+67 Inexact Rounded 580 581-- Examples from SQL proposal (Krishna Kulkarni) 582precision: 34 583rounding: half_up 584maxExponent: 6144 585minExponent: -6143 586dqfma21001 fma 130E-2 120E-2 0e+6144 -> 1.5600 587dqfma21002 fma 130E-2 12E-1 0e+6144 -> 1.560 588dqfma21003 fma 130E-2 1E0 0e+6144 -> 1.30 589dqfma21004 fma 1E2 1E4 0e+6144 -> 1E+6 590 591-- Null tests 592dqfma2990 fma 10 # 0e+6144 -> NaN Invalid_operation 593dqfma2991 fma # 10 0e+6144 -> NaN Invalid_operation 594 595 596-- ADDITION TESTS ------------------------------------------------------ 597rounding: half_even 598 599-- [first group are 'quick confidence check'] 600dqadd3001 fma 1 1 1 -> 2 601dqadd3002 fma 1 2 3 -> 5 602dqadd3003 fma 1 '5.75' '3.3' -> 9.05 603dqadd3004 fma 1 '5' '-3' -> 2 604dqadd3005 fma 1 '-5' '-3' -> -8 605dqadd3006 fma 1 '-7' '2.5' -> -4.5 606dqadd3007 fma 1 '0.7' '0.3' -> 1.0 607dqadd3008 fma 1 '1.25' '1.25' -> 2.50 608dqadd3009 fma 1 '1.23456789' '1.00000000' -> '2.23456789' 609dqadd3010 fma 1 '1.23456789' '1.00000011' -> '2.23456800' 610 611-- 1234567890123456 1234567890123456 612dqadd3011 fma 1 '0.4444444444444444444444444444444446' '0.5555555555555555555555555555555555' -> '1.000000000000000000000000000000000' Inexact Rounded 613dqadd3012 fma 1 '0.4444444444444444444444444444444445' '0.5555555555555555555555555555555555' -> '1.000000000000000000000000000000000' Rounded 614dqadd3013 fma 1 '0.4444444444444444444444444444444444' '0.5555555555555555555555555555555555' -> '0.9999999999999999999999999999999999' 615dqadd3014 fma 1 '4444444444444444444444444444444444' '0.49' -> '4444444444444444444444444444444444' Inexact Rounded 616dqadd3015 fma 1 '4444444444444444444444444444444444' '0.499' -> '4444444444444444444444444444444444' Inexact Rounded 617dqadd3016 fma 1 '4444444444444444444444444444444444' '0.4999' -> '4444444444444444444444444444444444' Inexact Rounded 618dqadd3017 fma 1 '4444444444444444444444444444444444' '0.5000' -> '4444444444444444444444444444444444' Inexact Rounded 619dqadd3018 fma 1 '4444444444444444444444444444444444' '0.5001' -> '4444444444444444444444444444444445' Inexact Rounded 620dqadd3019 fma 1 '4444444444444444444444444444444444' '0.501' -> '4444444444444444444444444444444445' Inexact Rounded 621dqadd3020 fma 1 '4444444444444444444444444444444444' '0.51' -> '4444444444444444444444444444444445' Inexact Rounded 622 623dqadd3021 fma 1 0 1 -> 1 624dqadd3022 fma 1 1 1 -> 2 625dqadd3023 fma 1 2 1 -> 3 626dqadd3024 fma 1 3 1 -> 4 627dqadd3025 fma 1 4 1 -> 5 628dqadd3026 fma 1 5 1 -> 6 629dqadd3027 fma 1 6 1 -> 7 630dqadd3028 fma 1 7 1 -> 8 631dqadd3029 fma 1 8 1 -> 9 632dqadd3030 fma 1 9 1 -> 10 633 634-- some carrying effects 635dqadd3031 fma 1 '0.9998' '0.0000' -> '0.9998' 636dqadd3032 fma 1 '0.9998' '0.0001' -> '0.9999' 637dqadd3033 fma 1 '0.9998' '0.0002' -> '1.0000' 638dqadd3034 fma 1 '0.9998' '0.0003' -> '1.0001' 639 640dqadd3035 fma 1 '70' '10000e+34' -> '1.000000000000000000000000000000000E+38' Inexact Rounded 641dqadd3036 fma 1 '700' '10000e+34' -> '1.000000000000000000000000000000000E+38' Inexact Rounded 642dqadd3037 fma 1 '7000' '10000e+34' -> '1.000000000000000000000000000000000E+38' Inexact Rounded 643dqadd3038 fma 1 '70000' '10000e+34' -> '1.000000000000000000000000000000001E+38' Inexact Rounded 644dqadd3039 fma 1 '700000' '10000e+34' -> '1.000000000000000000000000000000007E+38' Rounded 645 646-- symmetry: 647dqadd3040 fma 1 '10000e+34' '70' -> '1.000000000000000000000000000000000E+38' Inexact Rounded 648dqadd3041 fma 1 '10000e+34' '700' -> '1.000000000000000000000000000000000E+38' Inexact Rounded 649dqadd3042 fma 1 '10000e+34' '7000' -> '1.000000000000000000000000000000000E+38' Inexact Rounded 650dqadd3044 fma 1 '10000e+34' '70000' -> '1.000000000000000000000000000000001E+38' Inexact Rounded 651dqadd3045 fma 1 '10000e+34' '700000' -> '1.000000000000000000000000000000007E+38' Rounded 652 653-- same, without rounding 654dqadd3046 fma 1 '10000e+9' '7' -> '10000000000007' 655dqadd3047 fma 1 '10000e+9' '70' -> '10000000000070' 656dqadd3048 fma 1 '10000e+9' '700' -> '10000000000700' 657dqadd3049 fma 1 '10000e+9' '7000' -> '10000000007000' 658dqadd3050 fma 1 '10000e+9' '70000' -> '10000000070000' 659dqadd3051 fma 1 '10000e+9' '700000' -> '10000000700000' 660dqadd3052 fma 1 '10000e+9' '7000000' -> '10000007000000' 661 662-- examples from decarith 663dqadd3053 fma 1 '12' '7.00' -> '19.00' 664dqadd3054 fma 1 '1.3' '-1.07' -> '0.23' 665dqadd3055 fma 1 '1.3' '-1.30' -> '0.00' 666dqadd3056 fma 1 '1.3' '-2.07' -> '-0.77' 667dqadd3057 fma 1 '1E+2' '1E+4' -> '1.01E+4' 668 669-- leading zero preservation 670dqadd3061 fma 1 1 '0.0001' -> '1.0001' 671dqadd3062 fma 1 1 '0.00001' -> '1.00001' 672dqadd3063 fma 1 1 '0.000001' -> '1.000001' 673dqadd3064 fma 1 1 '0.0000001' -> '1.0000001' 674dqadd3065 fma 1 1 '0.00000001' -> '1.00000001' 675 676-- some funny zeros [in case of bad signum] 677dqadd3070 fma 1 1 0 -> 1 678dqadd3071 fma 1 1 0. -> 1 679dqadd3072 fma 1 1 .0 -> 1.0 680dqadd3073 fma 1 1 0.0 -> 1.0 681dqadd3074 fma 1 1 0.00 -> 1.00 682dqadd3075 fma 1 0 1 -> 1 683dqadd3076 fma 1 0. 1 -> 1 684dqadd3077 fma 1 .0 1 -> 1.0 685dqadd3078 fma 1 0.0 1 -> 1.0 686dqadd3079 fma 1 0.00 1 -> 1.00 687 688-- some carries 689dqadd3080 fma 1 999999998 1 -> 999999999 690dqadd3081 fma 1 999999999 1 -> 1000000000 691dqadd3082 fma 1 99999999 1 -> 100000000 692dqadd3083 fma 1 9999999 1 -> 10000000 693dqadd3084 fma 1 999999 1 -> 1000000 694dqadd3085 fma 1 99999 1 -> 100000 695dqadd3086 fma 1 9999 1 -> 10000 696dqadd3087 fma 1 999 1 -> 1000 697dqadd3088 fma 1 99 1 -> 100 698dqadd3089 fma 1 9 1 -> 10 699 700 701-- more LHS swaps 702dqadd3090 fma 1 '-56267E-10' 0 -> '-0.0000056267' 703dqadd3091 fma 1 '-56267E-6' 0 -> '-0.056267' 704dqadd3092 fma 1 '-56267E-5' 0 -> '-0.56267' 705dqadd3093 fma 1 '-56267E-4' 0 -> '-5.6267' 706dqadd3094 fma 1 '-56267E-3' 0 -> '-56.267' 707dqadd3095 fma 1 '-56267E-2' 0 -> '-562.67' 708dqadd3096 fma 1 '-56267E-1' 0 -> '-5626.7' 709dqadd3097 fma 1 '-56267E-0' 0 -> '-56267' 710dqadd3098 fma 1 '-5E-10' 0 -> '-5E-10' 711dqadd3099 fma 1 '-5E-7' 0 -> '-5E-7' 712dqadd3100 fma 1 '-5E-6' 0 -> '-0.000005' 713dqadd3101 fma 1 '-5E-5' 0 -> '-0.00005' 714dqadd3102 fma 1 '-5E-4' 0 -> '-0.0005' 715dqadd3103 fma 1 '-5E-1' 0 -> '-0.5' 716dqadd3104 fma 1 '-5E0' 0 -> '-5' 717dqadd3105 fma 1 '-5E1' 0 -> '-50' 718dqadd3106 fma 1 '-5E5' 0 -> '-500000' 719dqadd3107 fma 1 '-5E33' 0 -> '-5000000000000000000000000000000000' 720dqadd3108 fma 1 '-5E34' 0 -> '-5.000000000000000000000000000000000E+34' Rounded 721dqadd3109 fma 1 '-5E35' 0 -> '-5.000000000000000000000000000000000E+35' Rounded 722dqadd3110 fma 1 '-5E36' 0 -> '-5.000000000000000000000000000000000E+36' Rounded 723dqadd3111 fma 1 '-5E100' 0 -> '-5.000000000000000000000000000000000E+100' Rounded 724 725-- more RHS swaps 726dqadd3113 fma 1 0 '-56267E-10' -> '-0.0000056267' 727dqadd3114 fma 1 0 '-56267E-6' -> '-0.056267' 728dqadd3116 fma 1 0 '-56267E-5' -> '-0.56267' 729dqadd3117 fma 1 0 '-56267E-4' -> '-5.6267' 730dqadd3119 fma 1 0 '-56267E-3' -> '-56.267' 731dqadd3120 fma 1 0 '-56267E-2' -> '-562.67' 732dqadd3121 fma 1 0 '-56267E-1' -> '-5626.7' 733dqadd3122 fma 1 0 '-56267E-0' -> '-56267' 734dqadd3123 fma 1 0 '-5E-10' -> '-5E-10' 735dqadd3124 fma 1 0 '-5E-7' -> '-5E-7' 736dqadd3125 fma 1 0 '-5E-6' -> '-0.000005' 737dqadd3126 fma 1 0 '-5E-5' -> '-0.00005' 738dqadd3127 fma 1 0 '-5E-4' -> '-0.0005' 739dqadd3128 fma 1 0 '-5E-1' -> '-0.5' 740dqadd3129 fma 1 0 '-5E0' -> '-5' 741dqadd3130 fma 1 0 '-5E1' -> '-50' 742dqadd3131 fma 1 0 '-5E5' -> '-500000' 743dqadd3132 fma 1 0 '-5E33' -> '-5000000000000000000000000000000000' 744dqadd3133 fma 1 0 '-5E34' -> '-5.000000000000000000000000000000000E+34' Rounded 745dqadd3134 fma 1 0 '-5E35' -> '-5.000000000000000000000000000000000E+35' Rounded 746dqadd3135 fma 1 0 '-5E36' -> '-5.000000000000000000000000000000000E+36' Rounded 747dqadd3136 fma 1 0 '-5E100' -> '-5.000000000000000000000000000000000E+100' Rounded 748 749-- related 750dqadd3137 fma 1 1 '0E-39' -> '1.000000000000000000000000000000000' Rounded 751dqadd3138 fma 1 -1 '0E-39' -> '-1.000000000000000000000000000000000' Rounded 752dqadd3139 fma 1 '0E-39' 1 -> '1.000000000000000000000000000000000' Rounded 753dqadd3140 fma 1 '0E-39' -1 -> '-1.000000000000000000000000000000000' Rounded 754dqadd3141 fma 1 1E+29 0.0000 -> '100000000000000000000000000000.0000' 755dqadd3142 fma 1 1E+29 0.00000 -> '100000000000000000000000000000.0000' Rounded 756dqadd3143 fma 1 0.000 1E+30 -> '1000000000000000000000000000000.000' 757dqadd3144 fma 1 0.0000 1E+30 -> '1000000000000000000000000000000.000' Rounded 758 759-- [some of the next group are really constructor tests] 760dqadd3146 fma 1 '00.0' 0 -> '0.0' 761dqadd3147 fma 1 '0.00' 0 -> '0.00' 762dqadd3148 fma 1 0 '0.00' -> '0.00' 763dqadd3149 fma 1 0 '00.0' -> '0.0' 764dqadd3150 fma 1 '00.0' '0.00' -> '0.00' 765dqadd3151 fma 1 '0.00' '00.0' -> '0.00' 766dqadd3152 fma 1 '3' '.3' -> '3.3' 767dqadd3153 fma 1 '3.' '.3' -> '3.3' 768dqadd3154 fma 1 '3.0' '.3' -> '3.3' 769dqadd3155 fma 1 '3.00' '.3' -> '3.30' 770dqadd3156 fma 1 '3' '3' -> '6' 771dqadd3157 fma 1 '3' '+3' -> '6' 772dqadd3158 fma 1 '3' '-3' -> '0' 773dqadd3159 fma 1 '0.3' '-0.3' -> '0.0' 774dqadd3160 fma 1 '0.03' '-0.03' -> '0.00' 775 776-- try borderline precision, with carries, etc. 777dqadd3161 fma 1 '1E+12' '-1' -> '999999999999' 778dqadd3162 fma 1 '1E+12' '1.11' -> '1000000000001.11' 779dqadd3163 fma 1 '1.11' '1E+12' -> '1000000000001.11' 780dqadd3164 fma 1 '-1' '1E+12' -> '999999999999' 781dqadd3165 fma 1 '7E+12' '-1' -> '6999999999999' 782dqadd3166 fma 1 '7E+12' '1.11' -> '7000000000001.11' 783dqadd3167 fma 1 '1.11' '7E+12' -> '7000000000001.11' 784dqadd3168 fma 1 '-1' '7E+12' -> '6999999999999' 785 786rounding: half_up 787dqadd3170 fma 1 '4.444444444444444444444444444444444' '0.5555555555555555555555555555555567' -> '5.000000000000000000000000000000001' Inexact Rounded 788dqadd3171 fma 1 '4.444444444444444444444444444444444' '0.5555555555555555555555555555555566' -> '5.000000000000000000000000000000001' Inexact Rounded 789dqadd3172 fma 1 '4.444444444444444444444444444444444' '0.5555555555555555555555555555555565' -> '5.000000000000000000000000000000001' Inexact Rounded 790dqadd3173 fma 1 '4.444444444444444444444444444444444' '0.5555555555555555555555555555555564' -> '5.000000000000000000000000000000000' Inexact Rounded 791dqadd3174 fma 1 '4.444444444444444444444444444444444' '0.5555555555555555555555555555555553' -> '4.999999999999999999999999999999999' Inexact Rounded 792dqadd3175 fma 1 '4.444444444444444444444444444444444' '0.5555555555555555555555555555555552' -> '4.999999999999999999999999999999999' Inexact Rounded 793dqadd3176 fma 1 '4.444444444444444444444444444444444' '0.5555555555555555555555555555555551' -> '4.999999999999999999999999999999999' Inexact Rounded 794dqadd3177 fma 1 '4.444444444444444444444444444444444' '0.5555555555555555555555555555555550' -> '4.999999999999999999999999999999999' Rounded 795dqadd3178 fma 1 '4.444444444444444444444444444444444' '0.5555555555555555555555555555555545' -> '4.999999999999999999999999999999999' Inexact Rounded 796dqadd3179 fma 1 '4.444444444444444444444444444444444' '0.5555555555555555555555555555555544' -> '4.999999999999999999999999999999998' Inexact Rounded 797dqadd3180 fma 1 '4.444444444444444444444444444444444' '0.5555555555555555555555555555555543' -> '4.999999999999999999999999999999998' Inexact Rounded 798dqadd3181 fma 1 '4.444444444444444444444444444444444' '0.5555555555555555555555555555555542' -> '4.999999999999999999999999999999998' Inexact Rounded 799dqadd3182 fma 1 '4.444444444444444444444444444444444' '0.5555555555555555555555555555555541' -> '4.999999999999999999999999999999998' Inexact Rounded 800dqadd3183 fma 1 '4.444444444444444444444444444444444' '0.5555555555555555555555555555555540' -> '4.999999999999999999999999999999998' Rounded 801 802-- and some more, including residue effects and different roundings 803rounding: half_up 804dqadd3200 fma 1 '1231234567890123456784560123456789' 0 -> '1231234567890123456784560123456789' 805dqadd3201 fma 1 '1231234567890123456784560123456789' 0.000000001 -> '1231234567890123456784560123456789' Inexact Rounded 806dqadd3202 fma 1 '1231234567890123456784560123456789' 0.000001 -> '1231234567890123456784560123456789' Inexact Rounded 807dqadd3203 fma 1 '1231234567890123456784560123456789' 0.1 -> '1231234567890123456784560123456789' Inexact Rounded 808dqadd3204 fma 1 '1231234567890123456784560123456789' 0.4 -> '1231234567890123456784560123456789' Inexact Rounded 809dqadd3205 fma 1 '1231234567890123456784560123456789' 0.49 -> '1231234567890123456784560123456789' Inexact Rounded 810dqadd3206 fma 1 '1231234567890123456784560123456789' 0.499999 -> '1231234567890123456784560123456789' Inexact Rounded 811dqadd3207 fma 1 '1231234567890123456784560123456789' 0.499999999 -> '1231234567890123456784560123456789' Inexact Rounded 812dqadd3208 fma 1 '1231234567890123456784560123456789' 0.5 -> '1231234567890123456784560123456790' Inexact Rounded 813dqadd3209 fma 1 '1231234567890123456784560123456789' 0.500000001 -> '1231234567890123456784560123456790' Inexact Rounded 814dqadd3210 fma 1 '1231234567890123456784560123456789' 0.500001 -> '1231234567890123456784560123456790' Inexact Rounded 815dqadd3211 fma 1 '1231234567890123456784560123456789' 0.51 -> '1231234567890123456784560123456790' Inexact Rounded 816dqadd3212 fma 1 '1231234567890123456784560123456789' 0.6 -> '1231234567890123456784560123456790' Inexact Rounded 817dqadd3213 fma 1 '1231234567890123456784560123456789' 0.9 -> '1231234567890123456784560123456790' Inexact Rounded 818dqadd3214 fma 1 '1231234567890123456784560123456789' 0.99999 -> '1231234567890123456784560123456790' Inexact Rounded 819dqadd3215 fma 1 '1231234567890123456784560123456789' 0.999999999 -> '1231234567890123456784560123456790' Inexact Rounded 820dqadd3216 fma 1 '1231234567890123456784560123456789' 1 -> '1231234567890123456784560123456790' 821dqadd3217 fma 1 '1231234567890123456784560123456789' 1.000000001 -> '1231234567890123456784560123456790' Inexact Rounded 822dqadd3218 fma 1 '1231234567890123456784560123456789' 1.00001 -> '1231234567890123456784560123456790' Inexact Rounded 823dqadd3219 fma 1 '1231234567890123456784560123456789' 1.1 -> '1231234567890123456784560123456790' Inexact Rounded 824 825rounding: half_even 826dqadd3220 fma 1 '1231234567890123456784560123456789' 0 -> '1231234567890123456784560123456789' 827dqadd3221 fma 1 '1231234567890123456784560123456789' 0.000000001 -> '1231234567890123456784560123456789' Inexact Rounded 828dqadd3222 fma 1 '1231234567890123456784560123456789' 0.000001 -> '1231234567890123456784560123456789' Inexact Rounded 829dqadd3223 fma 1 '1231234567890123456784560123456789' 0.1 -> '1231234567890123456784560123456789' Inexact Rounded 830dqadd3224 fma 1 '1231234567890123456784560123456789' 0.4 -> '1231234567890123456784560123456789' Inexact Rounded 831dqadd3225 fma 1 '1231234567890123456784560123456789' 0.49 -> '1231234567890123456784560123456789' Inexact Rounded 832dqadd3226 fma 1 '1231234567890123456784560123456789' 0.499999 -> '1231234567890123456784560123456789' Inexact Rounded 833dqadd3227 fma 1 '1231234567890123456784560123456789' 0.499999999 -> '1231234567890123456784560123456789' Inexact Rounded 834dqadd3228 fma 1 '1231234567890123456784560123456789' 0.5 -> '1231234567890123456784560123456790' Inexact Rounded 835dqadd3229 fma 1 '1231234567890123456784560123456789' 0.500000001 -> '1231234567890123456784560123456790' Inexact Rounded 836dqadd3230 fma 1 '1231234567890123456784560123456789' 0.500001 -> '1231234567890123456784560123456790' Inexact Rounded 837dqadd3231 fma 1 '1231234567890123456784560123456789' 0.51 -> '1231234567890123456784560123456790' Inexact Rounded 838dqadd3232 fma 1 '1231234567890123456784560123456789' 0.6 -> '1231234567890123456784560123456790' Inexact Rounded 839dqadd3233 fma 1 '1231234567890123456784560123456789' 0.9 -> '1231234567890123456784560123456790' Inexact Rounded 840dqadd3234 fma 1 '1231234567890123456784560123456789' 0.99999 -> '1231234567890123456784560123456790' Inexact Rounded 841dqadd3235 fma 1 '1231234567890123456784560123456789' 0.999999999 -> '1231234567890123456784560123456790' Inexact Rounded 842dqadd3236 fma 1 '1231234567890123456784560123456789' 1 -> '1231234567890123456784560123456790' 843dqadd3237 fma 1 '1231234567890123456784560123456789' 1.00000001 -> '1231234567890123456784560123456790' Inexact Rounded 844dqadd3238 fma 1 '1231234567890123456784560123456789' 1.00001 -> '1231234567890123456784560123456790' Inexact Rounded 845dqadd3239 fma 1 '1231234567890123456784560123456789' 1.1 -> '1231234567890123456784560123456790' Inexact Rounded 846-- critical few with even bottom digit... 847dqadd3240 fma 1 '1231234567890123456784560123456788' 0.499999999 -> '1231234567890123456784560123456788' Inexact Rounded 848dqadd3241 fma 1 '1231234567890123456784560123456788' 0.5 -> '1231234567890123456784560123456788' Inexact Rounded 849dqadd3242 fma 1 '1231234567890123456784560123456788' 0.500000001 -> '1231234567890123456784560123456789' Inexact Rounded 850 851rounding: down 852dqadd3250 fma 1 '1231234567890123456784560123456789' 0 -> '1231234567890123456784560123456789' 853dqadd3251 fma 1 '1231234567890123456784560123456789' 0.000000001 -> '1231234567890123456784560123456789' Inexact Rounded 854dqadd3252 fma 1 '1231234567890123456784560123456789' 0.000001 -> '1231234567890123456784560123456789' Inexact Rounded 855dqadd3253 fma 1 '1231234567890123456784560123456789' 0.1 -> '1231234567890123456784560123456789' Inexact Rounded 856dqadd3254 fma 1 '1231234567890123456784560123456789' 0.4 -> '1231234567890123456784560123456789' Inexact Rounded 857dqadd3255 fma 1 '1231234567890123456784560123456789' 0.49 -> '1231234567890123456784560123456789' Inexact Rounded 858dqadd3256 fma 1 '1231234567890123456784560123456789' 0.499999 -> '1231234567890123456784560123456789' Inexact Rounded 859dqadd3257 fma 1 '1231234567890123456784560123456789' 0.499999999 -> '1231234567890123456784560123456789' Inexact Rounded 860dqadd3258 fma 1 '1231234567890123456784560123456789' 0.5 -> '1231234567890123456784560123456789' Inexact Rounded 861dqadd3259 fma 1 '1231234567890123456784560123456789' 0.500000001 -> '1231234567890123456784560123456789' Inexact Rounded 862dqadd3260 fma 1 '1231234567890123456784560123456789' 0.500001 -> '1231234567890123456784560123456789' Inexact Rounded 863dqadd3261 fma 1 '1231234567890123456784560123456789' 0.51 -> '1231234567890123456784560123456789' Inexact Rounded 864dqadd3262 fma 1 '1231234567890123456784560123456789' 0.6 -> '1231234567890123456784560123456789' Inexact Rounded 865dqadd3263 fma 1 '1231234567890123456784560123456789' 0.9 -> '1231234567890123456784560123456789' Inexact Rounded 866dqadd3264 fma 1 '1231234567890123456784560123456789' 0.99999 -> '1231234567890123456784560123456789' Inexact Rounded 867dqadd3265 fma 1 '1231234567890123456784560123456789' 0.999999999 -> '1231234567890123456784560123456789' Inexact Rounded 868dqadd3266 fma 1 '1231234567890123456784560123456789' 1 -> '1231234567890123456784560123456790' 869dqadd3267 fma 1 '1231234567890123456784560123456789' 1.00000001 -> '1231234567890123456784560123456790' Inexact Rounded 870dqadd3268 fma 1 '1231234567890123456784560123456789' 1.00001 -> '1231234567890123456784560123456790' Inexact Rounded 871dqadd3269 fma 1 '1231234567890123456784560123456789' 1.1 -> '1231234567890123456784560123456790' Inexact Rounded 872 873-- 1 in last place tests 874rounding: half_up 875dqadd3301 fma 1 -1 1 -> 0 876dqadd3302 fma 1 0 1 -> 1 877dqadd3303 fma 1 1 1 -> 2 878dqadd3304 fma 1 12 1 -> 13 879dqadd3305 fma 1 98 1 -> 99 880dqadd3306 fma 1 99 1 -> 100 881dqadd3307 fma 1 100 1 -> 101 882dqadd3308 fma 1 101 1 -> 102 883dqadd3309 fma 1 -1 -1 -> -2 884dqadd3310 fma 1 0 -1 -> -1 885dqadd3311 fma 1 1 -1 -> 0 886dqadd3312 fma 1 12 -1 -> 11 887dqadd3313 fma 1 98 -1 -> 97 888dqadd3314 fma 1 99 -1 -> 98 889dqadd3315 fma 1 100 -1 -> 99 890dqadd3316 fma 1 101 -1 -> 100 891 892dqadd3321 fma 1 -0.01 0.01 -> 0.00 893dqadd3322 fma 1 0.00 0.01 -> 0.01 894dqadd3323 fma 1 0.01 0.01 -> 0.02 895dqadd3324 fma 1 0.12 0.01 -> 0.13 896dqadd3325 fma 1 0.98 0.01 -> 0.99 897dqadd3326 fma 1 0.99 0.01 -> 1.00 898dqadd3327 fma 1 1.00 0.01 -> 1.01 899dqadd3328 fma 1 1.01 0.01 -> 1.02 900dqadd3329 fma 1 -0.01 -0.01 -> -0.02 901dqadd3330 fma 1 0.00 -0.01 -> -0.01 902dqadd3331 fma 1 0.01 -0.01 -> 0.00 903dqadd3332 fma 1 0.12 -0.01 -> 0.11 904dqadd3333 fma 1 0.98 -0.01 -> 0.97 905dqadd3334 fma 1 0.99 -0.01 -> 0.98 906dqadd3335 fma 1 1.00 -0.01 -> 0.99 907dqadd3336 fma 1 1.01 -0.01 -> 1.00 908 909-- some more cases where adding 0 affects the coefficient 910dqadd3340 fma 1 1E+3 0 -> 1000 911dqadd3341 fma 1 1E+33 0 -> 1000000000000000000000000000000000 912dqadd3342 fma 1 1E+34 0 -> 1.000000000000000000000000000000000E+34 Rounded 913dqadd3343 fma 1 1E+35 0 -> 1.000000000000000000000000000000000E+35 Rounded 914-- which simply follow from these cases ... 915dqadd3344 fma 1 1E+3 1 -> 1001 916dqadd3345 fma 1 1E+33 1 -> 1000000000000000000000000000000001 917dqadd3346 fma 1 1E+34 1 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 918dqadd3347 fma 1 1E+35 1 -> 1.000000000000000000000000000000000E+35 Inexact Rounded 919dqadd3348 fma 1 1E+3 7 -> 1007 920dqadd3349 fma 1 1E+33 7 -> 1000000000000000000000000000000007 921dqadd3350 fma 1 1E+34 7 -> 1.000000000000000000000000000000001E+34 Inexact Rounded 922dqadd3351 fma 1 1E+35 7 -> 1.000000000000000000000000000000000E+35 Inexact Rounded 923 924-- tryzeros cases 925rounding: half_up 926dqadd3360 fma 1 0E+50 10000E+1 -> 1.0000E+5 927dqadd3361 fma 1 0E-50 10000E+1 -> 100000.0000000000000000000000000000 Rounded 928dqadd3362 fma 1 10000E+1 0E-50 -> 100000.0000000000000000000000000000 Rounded 929dqadd3363 fma 1 10000E+1 10000E-50 -> 100000.0000000000000000000000000000 Rounded Inexact 930dqadd3364 fma 1 9.999999999999999999999999999999999E+6144 -9.999999999999999999999999999999999E+6144 -> 0E+6111 931-- 1 234567890123456789012345678901234 932 933-- a curiosity from JSR 13 testing 934rounding: half_down 935dqadd3370 fma 1 999999999999999999999999999999999 815 -> 1000000000000000000000000000000814 936dqadd3371 fma 1 9999999999999999999999999999999999 815 -> 1.000000000000000000000000000000081E+34 Rounded Inexact 937rounding: half_up 938dqadd3372 fma 1 999999999999999999999999999999999 815 -> 1000000000000000000000000000000814 939dqadd3373 fma 1 9999999999999999999999999999999999 815 -> 1.000000000000000000000000000000081E+34 Rounded Inexact 940rounding: half_even 941dqadd3374 fma 1 999999999999999999999999999999999 815 -> 1000000000000000000000000000000814 942dqadd3375 fma 1 9999999999999999999999999999999999 815 -> 1.000000000000000000000000000000081E+34 Rounded Inexact 943 944-- ulp replacement tests 945dqadd3400 fma 1 1 77e-32 -> 1.00000000000000000000000000000077 946dqadd3401 fma 1 1 77e-33 -> 1.000000000000000000000000000000077 947dqadd3402 fma 1 1 77e-34 -> 1.000000000000000000000000000000008 Inexact Rounded 948dqadd3403 fma 1 1 77e-35 -> 1.000000000000000000000000000000001 Inexact Rounded 949dqadd3404 fma 1 1 77e-36 -> 1.000000000000000000000000000000000 Inexact Rounded 950dqadd3405 fma 1 1 77e-37 -> 1.000000000000000000000000000000000 Inexact Rounded 951dqadd3406 fma 1 1 77e-299 -> 1.000000000000000000000000000000000 Inexact Rounded 952 953dqadd3410 fma 1 10 77e-32 -> 10.00000000000000000000000000000077 954dqadd3411 fma 1 10 77e-33 -> 10.00000000000000000000000000000008 Inexact Rounded 955dqadd3412 fma 1 10 77e-34 -> 10.00000000000000000000000000000001 Inexact Rounded 956dqadd3413 fma 1 10 77e-35 -> 10.00000000000000000000000000000000 Inexact Rounded 957dqadd3414 fma 1 10 77e-36 -> 10.00000000000000000000000000000000 Inexact Rounded 958dqadd3415 fma 1 10 77e-37 -> 10.00000000000000000000000000000000 Inexact Rounded 959dqadd3416 fma 1 10 77e-299 -> 10.00000000000000000000000000000000 Inexact Rounded 960 961dqadd3420 fma 1 77e-32 1 -> 1.00000000000000000000000000000077 962dqadd3421 fma 1 77e-33 1 -> 1.000000000000000000000000000000077 963dqadd3422 fma 1 77e-34 1 -> 1.000000000000000000000000000000008 Inexact Rounded 964dqadd3423 fma 1 77e-35 1 -> 1.000000000000000000000000000000001 Inexact Rounded 965dqadd3424 fma 1 77e-36 1 -> 1.000000000000000000000000000000000 Inexact Rounded 966dqadd3425 fma 1 77e-37 1 -> 1.000000000000000000000000000000000 Inexact Rounded 967dqadd3426 fma 1 77e-299 1 -> 1.000000000000000000000000000000000 Inexact Rounded 968 969dqadd3430 fma 1 77e-32 10 -> 10.00000000000000000000000000000077 970dqadd3431 fma 1 77e-33 10 -> 10.00000000000000000000000000000008 Inexact Rounded 971dqadd3432 fma 1 77e-34 10 -> 10.00000000000000000000000000000001 Inexact Rounded 972dqadd3433 fma 1 77e-35 10 -> 10.00000000000000000000000000000000 Inexact Rounded 973dqadd3434 fma 1 77e-36 10 -> 10.00000000000000000000000000000000 Inexact Rounded 974dqadd3435 fma 1 77e-37 10 -> 10.00000000000000000000000000000000 Inexact Rounded 975dqadd3436 fma 1 77e-299 10 -> 10.00000000000000000000000000000000 Inexact Rounded 976 977-- negative ulps 978dqadd36440 fma 1 1 -77e-32 -> 0.99999999999999999999999999999923 979dqadd36441 fma 1 1 -77e-33 -> 0.999999999999999999999999999999923 980dqadd36442 fma 1 1 -77e-34 -> 0.9999999999999999999999999999999923 981dqadd36443 fma 1 1 -77e-35 -> 0.9999999999999999999999999999999992 Inexact Rounded 982dqadd36444 fma 1 1 -77e-36 -> 0.9999999999999999999999999999999999 Inexact Rounded 983dqadd36445 fma 1 1 -77e-37 -> 1.000000000000000000000000000000000 Inexact Rounded 984dqadd36446 fma 1 1 -77e-99 -> 1.000000000000000000000000000000000 Inexact Rounded 985 986dqadd36450 fma 1 10 -77e-32 -> 9.99999999999999999999999999999923 987dqadd36451 fma 1 10 -77e-33 -> 9.999999999999999999999999999999923 988dqadd36452 fma 1 10 -77e-34 -> 9.999999999999999999999999999999992 Inexact Rounded 989dqadd36453 fma 1 10 -77e-35 -> 9.999999999999999999999999999999999 Inexact Rounded 990dqadd36454 fma 1 10 -77e-36 -> 10.00000000000000000000000000000000 Inexact Rounded 991dqadd36455 fma 1 10 -77e-37 -> 10.00000000000000000000000000000000 Inexact Rounded 992dqadd36456 fma 1 10 -77e-99 -> 10.00000000000000000000000000000000 Inexact Rounded 993 994dqadd36460 fma 1 -77e-32 1 -> 0.99999999999999999999999999999923 995dqadd36461 fma 1 -77e-33 1 -> 0.999999999999999999999999999999923 996dqadd36462 fma 1 -77e-34 1 -> 0.9999999999999999999999999999999923 997dqadd36463 fma 1 -77e-35 1 -> 0.9999999999999999999999999999999992 Inexact Rounded 998dqadd36464 fma 1 -77e-36 1 -> 0.9999999999999999999999999999999999 Inexact Rounded 999dqadd36465 fma 1 -77e-37 1 -> 1.000000000000000000000000000000000 Inexact Rounded 1000dqadd36466 fma 1 -77e-99 1 -> 1.000000000000000000000000000000000 Inexact Rounded 1001 1002dqadd36470 fma 1 -77e-32 10 -> 9.99999999999999999999999999999923 1003dqadd36471 fma 1 -77e-33 10 -> 9.999999999999999999999999999999923 1004dqadd36472 fma 1 -77e-34 10 -> 9.999999999999999999999999999999992 Inexact Rounded 1005dqadd36473 fma 1 -77e-35 10 -> 9.999999999999999999999999999999999 Inexact Rounded 1006dqadd36474 fma 1 -77e-36 10 -> 10.00000000000000000000000000000000 Inexact Rounded 1007dqadd36475 fma 1 -77e-37 10 -> 10.00000000000000000000000000000000 Inexact Rounded 1008dqadd36476 fma 1 -77e-99 10 -> 10.00000000000000000000000000000000 Inexact Rounded 1009 1010-- negative ulps 1011dqadd36480 fma 1 -1 77e-32 -> -0.99999999999999999999999999999923 1012dqadd36481 fma 1 -1 77e-33 -> -0.999999999999999999999999999999923 1013dqadd36482 fma 1 -1 77e-34 -> -0.9999999999999999999999999999999923 1014dqadd36483 fma 1 -1 77e-35 -> -0.9999999999999999999999999999999992 Inexact Rounded 1015dqadd36484 fma 1 -1 77e-36 -> -0.9999999999999999999999999999999999 Inexact Rounded 1016dqadd36485 fma 1 -1 77e-37 -> -1.000000000000000000000000000000000 Inexact Rounded 1017dqadd36486 fma 1 -1 77e-99 -> -1.000000000000000000000000000000000 Inexact Rounded 1018 1019dqadd36490 fma 1 -10 77e-32 -> -9.99999999999999999999999999999923 1020dqadd36491 fma 1 -10 77e-33 -> -9.999999999999999999999999999999923 1021dqadd36492 fma 1 -10 77e-34 -> -9.999999999999999999999999999999992 Inexact Rounded 1022dqadd36493 fma 1 -10 77e-35 -> -9.999999999999999999999999999999999 Inexact Rounded 1023dqadd36494 fma 1 -10 77e-36 -> -10.00000000000000000000000000000000 Inexact Rounded 1024dqadd36495 fma 1 -10 77e-37 -> -10.00000000000000000000000000000000 Inexact Rounded 1025dqadd36496 fma 1 -10 77e-99 -> -10.00000000000000000000000000000000 Inexact Rounded 1026 1027dqadd36500 fma 1 77e-32 -1 -> -0.99999999999999999999999999999923 1028dqadd36501 fma 1 77e-33 -1 -> -0.999999999999999999999999999999923 1029dqadd36502 fma 1 77e-34 -1 -> -0.9999999999999999999999999999999923 1030dqadd36503 fma 1 77e-35 -1 -> -0.9999999999999999999999999999999992 Inexact Rounded 1031dqadd36504 fma 1 77e-36 -1 -> -0.9999999999999999999999999999999999 Inexact Rounded 1032dqadd36505 fma 1 77e-37 -1 -> -1.000000000000000000000000000000000 Inexact Rounded 1033dqadd36506 fma 1 77e-99 -1 -> -1.000000000000000000000000000000000 Inexact Rounded 1034 1035dqadd36510 fma 1 77e-32 -10 -> -9.99999999999999999999999999999923 1036dqadd36511 fma 1 77e-33 -10 -> -9.999999999999999999999999999999923 1037dqadd36512 fma 1 77e-34 -10 -> -9.999999999999999999999999999999992 Inexact Rounded 1038dqadd36513 fma 1 77e-35 -10 -> -9.999999999999999999999999999999999 Inexact Rounded 1039dqadd36514 fma 1 77e-36 -10 -> -10.00000000000000000000000000000000 Inexact Rounded 1040dqadd36515 fma 1 77e-37 -10 -> -10.00000000000000000000000000000000 Inexact Rounded 1041dqadd36516 fma 1 77e-99 -10 -> -10.00000000000000000000000000000000 Inexact Rounded 1042 1043-- and some more residue effects and different roundings 1044rounding: half_up 1045dqadd36540 fma 1 '9876543219876543216543210123456789' 0 -> '9876543219876543216543210123456789' 1046dqadd36541 fma 1 '9876543219876543216543210123456789' 0.000000001 -> '9876543219876543216543210123456789' Inexact Rounded 1047dqadd36542 fma 1 '9876543219876543216543210123456789' 0.000001 -> '9876543219876543216543210123456789' Inexact Rounded 1048dqadd36543 fma 1 '9876543219876543216543210123456789' 0.1 -> '9876543219876543216543210123456789' Inexact Rounded 1049dqadd36544 fma 1 '9876543219876543216543210123456789' 0.4 -> '9876543219876543216543210123456789' Inexact Rounded 1050dqadd36545 fma 1 '9876543219876543216543210123456789' 0.49 -> '9876543219876543216543210123456789' Inexact Rounded 1051dqadd36546 fma 1 '9876543219876543216543210123456789' 0.499999 -> '9876543219876543216543210123456789' Inexact Rounded 1052dqadd36547 fma 1 '9876543219876543216543210123456789' 0.499999999 -> '9876543219876543216543210123456789' Inexact Rounded 1053dqadd36548 fma 1 '9876543219876543216543210123456789' 0.5 -> '9876543219876543216543210123456790' Inexact Rounded 1054dqadd36549 fma 1 '9876543219876543216543210123456789' 0.500000001 -> '9876543219876543216543210123456790' Inexact Rounded 1055dqadd36550 fma 1 '9876543219876543216543210123456789' 0.500001 -> '9876543219876543216543210123456790' Inexact Rounded 1056dqadd36551 fma 1 '9876543219876543216543210123456789' 0.51 -> '9876543219876543216543210123456790' Inexact Rounded 1057dqadd36552 fma 1 '9876543219876543216543210123456789' 0.6 -> '9876543219876543216543210123456790' Inexact Rounded 1058dqadd36553 fma 1 '9876543219876543216543210123456789' 0.9 -> '9876543219876543216543210123456790' Inexact Rounded 1059dqadd36554 fma 1 '9876543219876543216543210123456789' 0.99999 -> '9876543219876543216543210123456790' Inexact Rounded 1060dqadd36555 fma 1 '9876543219876543216543210123456789' 0.999999999 -> '9876543219876543216543210123456790' Inexact Rounded 1061dqadd36556 fma 1 '9876543219876543216543210123456789' 1 -> '9876543219876543216543210123456790' 1062dqadd36557 fma 1 '9876543219876543216543210123456789' 1.000000001 -> '9876543219876543216543210123456790' Inexact Rounded 1063dqadd36558 fma 1 '9876543219876543216543210123456789' 1.00001 -> '9876543219876543216543210123456790' Inexact Rounded 1064dqadd36559 fma 1 '9876543219876543216543210123456789' 1.1 -> '9876543219876543216543210123456790' Inexact Rounded 1065 1066rounding: half_even 1067dqadd36560 fma 1 '9876543219876543216543210123456789' 0 -> '9876543219876543216543210123456789' 1068dqadd36561 fma 1 '9876543219876543216543210123456789' 0.000000001 -> '9876543219876543216543210123456789' Inexact Rounded 1069dqadd36562 fma 1 '9876543219876543216543210123456789' 0.000001 -> '9876543219876543216543210123456789' Inexact Rounded 1070dqadd36563 fma 1 '9876543219876543216543210123456789' 0.1 -> '9876543219876543216543210123456789' Inexact Rounded 1071dqadd36564 fma 1 '9876543219876543216543210123456789' 0.4 -> '9876543219876543216543210123456789' Inexact Rounded 1072dqadd36565 fma 1 '9876543219876543216543210123456789' 0.49 -> '9876543219876543216543210123456789' Inexact Rounded 1073dqadd36566 fma 1 '9876543219876543216543210123456789' 0.499999 -> '9876543219876543216543210123456789' Inexact Rounded 1074dqadd36567 fma 1 '9876543219876543216543210123456789' 0.499999999 -> '9876543219876543216543210123456789' Inexact Rounded 1075dqadd36568 fma 1 '9876543219876543216543210123456789' 0.5 -> '9876543219876543216543210123456790' Inexact Rounded 1076dqadd36569 fma 1 '9876543219876543216543210123456789' 0.500000001 -> '9876543219876543216543210123456790' Inexact Rounded 1077dqadd36570 fma 1 '9876543219876543216543210123456789' 0.500001 -> '9876543219876543216543210123456790' Inexact Rounded 1078dqadd36571 fma 1 '9876543219876543216543210123456789' 0.51 -> '9876543219876543216543210123456790' Inexact Rounded 1079dqadd36572 fma 1 '9876543219876543216543210123456789' 0.6 -> '9876543219876543216543210123456790' Inexact Rounded 1080dqadd36573 fma 1 '9876543219876543216543210123456789' 0.9 -> '9876543219876543216543210123456790' Inexact Rounded 1081dqadd36574 fma 1 '9876543219876543216543210123456789' 0.99999 -> '9876543219876543216543210123456790' Inexact Rounded 1082dqadd36575 fma 1 '9876543219876543216543210123456789' 0.999999999 -> '9876543219876543216543210123456790' Inexact Rounded 1083dqadd36576 fma 1 '9876543219876543216543210123456789' 1 -> '9876543219876543216543210123456790' 1084dqadd36577 fma 1 '9876543219876543216543210123456789' 1.00000001 -> '9876543219876543216543210123456790' Inexact Rounded 1085dqadd36578 fma 1 '9876543219876543216543210123456789' 1.00001 -> '9876543219876543216543210123456790' Inexact Rounded 1086dqadd36579 fma 1 '9876543219876543216543210123456789' 1.1 -> '9876543219876543216543210123456790' Inexact Rounded 1087 1088-- critical few with even bottom digit... 1089dqadd37540 fma 1 '9876543219876543216543210123456788' 0.499999999 -> '9876543219876543216543210123456788' Inexact Rounded 1090dqadd37541 fma 1 '9876543219876543216543210123456788' 0.5 -> '9876543219876543216543210123456788' Inexact Rounded 1091dqadd37542 fma 1 '9876543219876543216543210123456788' 0.500000001 -> '9876543219876543216543210123456789' Inexact Rounded 1092 1093rounding: down 1094dqadd37550 fma 1 '9876543219876543216543210123456789' 0 -> '9876543219876543216543210123456789' 1095dqadd37551 fma 1 '9876543219876543216543210123456789' 0.000000001 -> '9876543219876543216543210123456789' Inexact Rounded 1096dqadd37552 fma 1 '9876543219876543216543210123456789' 0.000001 -> '9876543219876543216543210123456789' Inexact Rounded 1097dqadd37553 fma 1 '9876543219876543216543210123456789' 0.1 -> '9876543219876543216543210123456789' Inexact Rounded 1098dqadd37554 fma 1 '9876543219876543216543210123456789' 0.4 -> '9876543219876543216543210123456789' Inexact Rounded 1099dqadd37555 fma 1 '9876543219876543216543210123456789' 0.49 -> '9876543219876543216543210123456789' Inexact Rounded 1100dqadd37556 fma 1 '9876543219876543216543210123456789' 0.499999 -> '9876543219876543216543210123456789' Inexact Rounded 1101dqadd37557 fma 1 '9876543219876543216543210123456789' 0.499999999 -> '9876543219876543216543210123456789' Inexact Rounded 1102dqadd37558 fma 1 '9876543219876543216543210123456789' 0.5 -> '9876543219876543216543210123456789' Inexact Rounded 1103dqadd37559 fma 1 '9876543219876543216543210123456789' 0.500000001 -> '9876543219876543216543210123456789' Inexact Rounded 1104dqadd37560 fma 1 '9876543219876543216543210123456789' 0.500001 -> '9876543219876543216543210123456789' Inexact Rounded 1105dqadd37561 fma 1 '9876543219876543216543210123456789' 0.51 -> '9876543219876543216543210123456789' Inexact Rounded 1106dqadd37562 fma 1 '9876543219876543216543210123456789' 0.6 -> '9876543219876543216543210123456789' Inexact Rounded 1107dqadd37563 fma 1 '9876543219876543216543210123456789' 0.9 -> '9876543219876543216543210123456789' Inexact Rounded 1108dqadd37564 fma 1 '9876543219876543216543210123456789' 0.99999 -> '9876543219876543216543210123456789' Inexact Rounded 1109dqadd37565 fma 1 '9876543219876543216543210123456789' 0.999999999 -> '9876543219876543216543210123456789' Inexact Rounded 1110dqadd37566 fma 1 '9876543219876543216543210123456789' 1 -> '9876543219876543216543210123456790' 1111dqadd37567 fma 1 '9876543219876543216543210123456789' 1.00000001 -> '9876543219876543216543210123456790' Inexact Rounded 1112dqadd37568 fma 1 '9876543219876543216543210123456789' 1.00001 -> '9876543219876543216543210123456790' Inexact Rounded 1113dqadd37569 fma 1 '9876543219876543216543210123456789' 1.1 -> '9876543219876543216543210123456790' Inexact Rounded 1114 1115-- more zeros, etc. 1116rounding: half_even 1117 1118dqadd37701 fma 1 5.00 1.00E-3 -> 5.00100 1119dqadd37702 fma 1 00.00 0.000 -> 0.000 1120dqadd37703 fma 1 00.00 0E-3 -> 0.000 1121dqadd37704 fma 1 0E-3 00.00 -> 0.000 1122 1123dqadd37710 fma 1 0E+3 00.00 -> 0.00 1124dqadd37711 fma 1 0E+3 00.0 -> 0.0 1125dqadd37712 fma 1 0E+3 00. -> 0 1126dqadd37713 fma 1 0E+3 00.E+1 -> 0E+1 1127dqadd37714 fma 1 0E+3 00.E+2 -> 0E+2 1128dqadd37715 fma 1 0E+3 00.E+3 -> 0E+3 1129dqadd37716 fma 1 0E+3 00.E+4 -> 0E+3 1130dqadd37717 fma 1 0E+3 00.E+5 -> 0E+3 1131dqadd37718 fma 1 0E+3 -00.0 -> 0.0 1132dqadd37719 fma 1 0E+3 -00. -> 0 1133dqadd37731 fma 1 0E+3 -00.E+1 -> 0E+1 1134 1135dqadd37720 fma 1 00.00 0E+3 -> 0.00 1136dqadd37721 fma 1 00.0 0E+3 -> 0.0 1137dqadd37722 fma 1 00. 0E+3 -> 0 1138dqadd37723 fma 1 00.E+1 0E+3 -> 0E+1 1139dqadd37724 fma 1 00.E+2 0E+3 -> 0E+2 1140dqadd37725 fma 1 00.E+3 0E+3 -> 0E+3 1141dqadd37726 fma 1 00.E+4 0E+3 -> 0E+3 1142dqadd37727 fma 1 00.E+5 0E+3 -> 0E+3 1143dqadd37728 fma 1 -00.00 0E+3 -> 0.00 1144dqadd37729 fma 1 -00.0 0E+3 -> 0.0 1145dqadd37730 fma 1 -00. 0E+3 -> 0 1146 1147dqadd37732 fma 1 0 0 -> 0 1148dqadd37733 fma 1 0 -0 -> 0 1149dqadd37734 fma 1 -0 0 -> 0 1150dqadd37735 fma 1 -0 -0 -> -0 -- IEEE 854 special case 1151 1152dqadd37736 fma 1 1 -1 -> 0 1153dqadd37737 fma 1 -1 -1 -> -2 1154dqadd37738 fma 1 1 1 -> 2 1155dqadd37739 fma 1 -1 1 -> 0 1156 1157dqadd37741 fma 1 0 -1 -> -1 1158dqadd37742 fma 1 -0 -1 -> -1 1159dqadd37743 fma 1 0 1 -> 1 1160dqadd37744 fma 1 -0 1 -> 1 1161dqadd37745 fma 1 -1 0 -> -1 1162dqadd37746 fma 1 -1 -0 -> -1 1163dqadd37747 fma 1 1 0 -> 1 1164dqadd37748 fma 1 1 -0 -> 1 1165 1166dqadd37751 fma 1 0.0 -1 -> -1.0 1167dqadd37752 fma 1 -0.0 -1 -> -1.0 1168dqadd37753 fma 1 0.0 1 -> 1.0 1169dqadd37754 fma 1 -0.0 1 -> 1.0 1170dqadd37755 fma 1 -1.0 0 -> -1.0 1171dqadd37756 fma 1 -1.0 -0 -> -1.0 1172dqadd37757 fma 1 1.0 0 -> 1.0 1173dqadd37758 fma 1 1.0 -0 -> 1.0 1174 1175dqadd37761 fma 1 0 -1.0 -> -1.0 1176dqadd37762 fma 1 -0 -1.0 -> -1.0 1177dqadd37763 fma 1 0 1.0 -> 1.0 1178dqadd37764 fma 1 -0 1.0 -> 1.0 1179dqadd37765 fma 1 -1 0.0 -> -1.0 1180dqadd37766 fma 1 -1 -0.0 -> -1.0 1181dqadd37767 fma 1 1 0.0 -> 1.0 1182dqadd37768 fma 1 1 -0.0 -> 1.0 1183 1184dqadd37771 fma 1 0.0 -1.0 -> -1.0 1185dqadd37772 fma 1 -0.0 -1.0 -> -1.0 1186dqadd37773 fma 1 0.0 1.0 -> 1.0 1187dqadd37774 fma 1 -0.0 1.0 -> 1.0 1188dqadd37775 fma 1 -1.0 0.0 -> -1.0 1189dqadd37776 fma 1 -1.0 -0.0 -> -1.0 1190dqadd37777 fma 1 1.0 0.0 -> 1.0 1191dqadd37778 fma 1 1.0 -0.0 -> 1.0 1192 1193-- Specials 1194dqadd37780 fma 1 -Inf -Inf -> -Infinity 1195dqadd37781 fma 1 -Inf -1000 -> -Infinity 1196dqadd37782 fma 1 -Inf -1 -> -Infinity 1197dqadd37783 fma 1 -Inf -0 -> -Infinity 1198dqadd37784 fma 1 -Inf 0 -> -Infinity 1199dqadd37785 fma 1 -Inf 1 -> -Infinity 1200dqadd37786 fma 1 -Inf 1000 -> -Infinity 1201dqadd37787 fma 1 -1000 -Inf -> -Infinity 1202dqadd37788 fma 1 -Inf -Inf -> -Infinity 1203dqadd37789 fma 1 -1 -Inf -> -Infinity 1204dqadd37790 fma 1 -0 -Inf -> -Infinity 1205dqadd37791 fma 1 0 -Inf -> -Infinity 1206dqadd37792 fma 1 1 -Inf -> -Infinity 1207dqadd37793 fma 1 1000 -Inf -> -Infinity 1208dqadd37794 fma 1 Inf -Inf -> NaN Invalid_operation 1209 1210dqadd37800 fma 1 Inf -Inf -> NaN Invalid_operation 1211dqadd37801 fma 1 Inf -1000 -> Infinity 1212dqadd37802 fma 1 Inf -1 -> Infinity 1213dqadd37803 fma 1 Inf -0 -> Infinity 1214dqadd37804 fma 1 Inf 0 -> Infinity 1215dqadd37805 fma 1 Inf 1 -> Infinity 1216dqadd37806 fma 1 Inf 1000 -> Infinity 1217dqadd37807 fma 1 Inf Inf -> Infinity 1218dqadd37808 fma 1 -1000 Inf -> Infinity 1219dqadd37809 fma 1 -Inf Inf -> NaN Invalid_operation 1220dqadd37810 fma 1 -1 Inf -> Infinity 1221dqadd37811 fma 1 -0 Inf -> Infinity 1222dqadd37812 fma 1 0 Inf -> Infinity 1223dqadd37813 fma 1 1 Inf -> Infinity 1224dqadd37814 fma 1 1000 Inf -> Infinity 1225dqadd37815 fma 1 Inf Inf -> Infinity 1226 1227dqadd37821 fma 1 NaN -Inf -> NaN 1228dqadd37822 fma 1 NaN -1000 -> NaN 1229dqadd37823 fma 1 NaN -1 -> NaN 1230dqadd37824 fma 1 NaN -0 -> NaN 1231dqadd37825 fma 1 NaN 0 -> NaN 1232dqadd37826 fma 1 NaN 1 -> NaN 1233dqadd37827 fma 1 NaN 1000 -> NaN 1234dqadd37828 fma 1 NaN Inf -> NaN 1235dqadd37829 fma 1 NaN NaN -> NaN 1236dqadd37830 fma 1 -Inf NaN -> NaN 1237dqadd37831 fma 1 -1000 NaN -> NaN 1238dqadd37832 fma 1 -1 NaN -> NaN 1239dqadd37833 fma 1 -0 NaN -> NaN 1240dqadd37834 fma 1 0 NaN -> NaN 1241dqadd37835 fma 1 1 NaN -> NaN 1242dqadd37836 fma 1 1000 NaN -> NaN 1243dqadd37837 fma 1 Inf NaN -> NaN 1244 1245dqadd37841 fma 1 sNaN -Inf -> NaN Invalid_operation 1246dqadd37842 fma 1 sNaN -1000 -> NaN Invalid_operation 1247dqadd37843 fma 1 sNaN -1 -> NaN Invalid_operation 1248dqadd37844 fma 1 sNaN -0 -> NaN Invalid_operation 1249dqadd37845 fma 1 sNaN 0 -> NaN Invalid_operation 1250dqadd37846 fma 1 sNaN 1 -> NaN Invalid_operation 1251dqadd37847 fma 1 sNaN 1000 -> NaN Invalid_operation 1252dqadd37848 fma 1 sNaN NaN -> NaN Invalid_operation 1253dqadd37849 fma 1 sNaN sNaN -> NaN Invalid_operation 1254dqadd37850 fma 1 NaN sNaN -> NaN Invalid_operation 1255dqadd37851 fma 1 -Inf sNaN -> NaN Invalid_operation 1256dqadd37852 fma 1 -1000 sNaN -> NaN Invalid_operation 1257dqadd37853 fma 1 -1 sNaN -> NaN Invalid_operation 1258dqadd37854 fma 1 -0 sNaN -> NaN Invalid_operation 1259dqadd37855 fma 1 0 sNaN -> NaN Invalid_operation 1260dqadd37856 fma 1 1 sNaN -> NaN Invalid_operation 1261dqadd37857 fma 1 1000 sNaN -> NaN Invalid_operation 1262dqadd37858 fma 1 Inf sNaN -> NaN Invalid_operation 1263dqadd37859 fma 1 NaN sNaN -> NaN Invalid_operation 1264 1265-- propagating NaNs 1266dqadd37861 fma 1 NaN1 -Inf -> NaN1 1267dqadd37862 fma 1 +NaN2 -1000 -> NaN2 1268dqadd37863 fma 1 NaN3 1000 -> NaN3 1269dqadd37864 fma 1 NaN4 Inf -> NaN4 1270dqadd37865 fma 1 NaN5 +NaN6 -> NaN5 1271dqadd37866 fma 1 -Inf NaN7 -> NaN7 1272dqadd37867 fma 1 -1000 NaN8 -> NaN8 1273dqadd37868 fma 1 1000 NaN9 -> NaN9 1274dqadd37869 fma 1 Inf +NaN10 -> NaN10 1275dqadd37871 fma 1 sNaN11 -Inf -> NaN11 Invalid_operation 1276dqadd37872 fma 1 sNaN12 -1000 -> NaN12 Invalid_operation 1277dqadd37873 fma 1 sNaN13 1000 -> NaN13 Invalid_operation 1278dqadd37874 fma 1 sNaN14 NaN17 -> NaN14 Invalid_operation 1279dqadd37875 fma 1 sNaN15 sNaN18 -> NaN15 Invalid_operation 1280dqadd37876 fma 1 NaN16 sNaN19 -> NaN19 Invalid_operation 1281dqadd37877 fma 1 -Inf +sNaN20 -> NaN20 Invalid_operation 1282dqadd37878 fma 1 -1000 sNaN21 -> NaN21 Invalid_operation 1283dqadd37879 fma 1 1000 sNaN22 -> NaN22 Invalid_operation 1284dqadd37880 fma 1 Inf sNaN23 -> NaN23 Invalid_operation 1285dqadd37881 fma 1 +NaN25 +sNaN24 -> NaN24 Invalid_operation 1286dqadd37882 fma 1 -NaN26 NaN28 -> -NaN26 1287dqadd37883 fma 1 -sNaN27 sNaN29 -> -NaN27 Invalid_operation 1288dqadd37884 fma 1 1000 -NaN30 -> -NaN30 1289dqadd37885 fma 1 1000 -sNaN31 -> -NaN31 Invalid_operation 1290 1291-- Here we explore near the boundary of rounding a subnormal to Nmin 1292dqadd37575 fma 1 1E-6143 -1E-6176 -> 9.99999999999999999999999999999999E-6144 Subnormal 1293dqadd37576 fma 1 -1E-6143 +1E-6176 -> -9.99999999999999999999999999999999E-6144 Subnormal 1294 1295-- check overflow edge case 1296-- 1234567890123456 1297dqadd37972 apply 9.999999999999999999999999999999999E+6144 -> 9.999999999999999999999999999999999E+6144 1298dqadd37973 fma 1 9.999999999999999999999999999999999E+6144 1 -> 9.999999999999999999999999999999999E+6144 Inexact Rounded 1299dqadd37974 fma 1 9999999999999999999999999999999999E+6111 1 -> 9.999999999999999999999999999999999E+6144 Inexact Rounded 1300dqadd37975 fma 1 9999999999999999999999999999999999E+6111 1E+6111 -> Infinity Overflow Inexact Rounded 1301dqadd37976 fma 1 9999999999999999999999999999999999E+6111 9E+6110 -> Infinity Overflow Inexact Rounded 1302dqadd37977 fma 1 9999999999999999999999999999999999E+6111 8E+6110 -> Infinity Overflow Inexact Rounded 1303dqadd37978 fma 1 9999999999999999999999999999999999E+6111 7E+6110 -> Infinity Overflow Inexact Rounded 1304dqadd37979 fma 1 9999999999999999999999999999999999E+6111 6E+6110 -> Infinity Overflow Inexact Rounded 1305dqadd37980 fma 1 9999999999999999999999999999999999E+6111 5E+6110 -> Infinity Overflow Inexact Rounded 1306dqadd37981 fma 1 9999999999999999999999999999999999E+6111 4E+6110 -> 9.999999999999999999999999999999999E+6144 Inexact Rounded 1307dqadd37982 fma 1 9999999999999999999999999999999999E+6111 3E+6110 -> 9.999999999999999999999999999999999E+6144 Inexact Rounded 1308dqadd37983 fma 1 9999999999999999999999999999999999E+6111 2E+6110 -> 9.999999999999999999999999999999999E+6144 Inexact Rounded 1309dqadd37984 fma 1 9999999999999999999999999999999999E+6111 1E+6110 -> 9.999999999999999999999999999999999E+6144 Inexact Rounded 1310 1311dqadd37985 apply -9.999999999999999999999999999999999E+6144 -> -9.999999999999999999999999999999999E+6144 1312dqadd37986 fma 1 -9.999999999999999999999999999999999E+6144 -1 -> -9.999999999999999999999999999999999E+6144 Inexact Rounded 1313dqadd37987 fma 1 -9999999999999999999999999999999999E+6111 -1 -> -9.999999999999999999999999999999999E+6144 Inexact Rounded 1314dqadd37988 fma 1 -9999999999999999999999999999999999E+6111 -1E+6111 -> -Infinity Overflow Inexact Rounded 1315dqadd37989 fma 1 -9999999999999999999999999999999999E+6111 -9E+6110 -> -Infinity Overflow Inexact Rounded 1316dqadd37990 fma 1 -9999999999999999999999999999999999E+6111 -8E+6110 -> -Infinity Overflow Inexact Rounded 1317dqadd37991 fma 1 -9999999999999999999999999999999999E+6111 -7E+6110 -> -Infinity Overflow Inexact Rounded 1318dqadd37992 fma 1 -9999999999999999999999999999999999E+6111 -6E+6110 -> -Infinity Overflow Inexact Rounded 1319dqadd37993 fma 1 -9999999999999999999999999999999999E+6111 -5E+6110 -> -Infinity Overflow Inexact Rounded 1320dqadd37994 fma 1 -9999999999999999999999999999999999E+6111 -4E+6110 -> -9.999999999999999999999999999999999E+6144 Inexact Rounded 1321dqadd37995 fma 1 -9999999999999999999999999999999999E+6111 -3E+6110 -> -9.999999999999999999999999999999999E+6144 Inexact Rounded 1322dqadd37996 fma 1 -9999999999999999999999999999999999E+6111 -2E+6110 -> -9.999999999999999999999999999999999E+6144 Inexact Rounded 1323dqadd37997 fma 1 -9999999999999999999999999999999999E+6111 -1E+6110 -> -9.999999999999999999999999999999999E+6144 Inexact Rounded 1324 1325-- And for round down full and subnormal results 1326rounding: down 1327dqadd371100 fma 1 1e+2 -1e-6143 -> 99.99999999999999999999999999999999 Rounded Inexact 1328dqadd371101 fma 1 1e+1 -1e-6143 -> 9.999999999999999999999999999999999 Rounded Inexact 1329dqadd371103 fma 1 +1 -1e-6143 -> 0.9999999999999999999999999999999999 Rounded Inexact 1330dqadd371104 fma 1 1e-1 -1e-6143 -> 0.09999999999999999999999999999999999 Rounded Inexact 1331dqadd371105 fma 1 1e-2 -1e-6143 -> 0.009999999999999999999999999999999999 Rounded Inexact 1332dqadd371106 fma 1 1e-3 -1e-6143 -> 0.0009999999999999999999999999999999999 Rounded Inexact 1333dqadd371107 fma 1 1e-4 -1e-6143 -> 0.00009999999999999999999999999999999999 Rounded Inexact 1334dqadd371108 fma 1 1e-5 -1e-6143 -> 0.000009999999999999999999999999999999999 Rounded Inexact 1335dqadd371109 fma 1 1e-6 -1e-6143 -> 9.999999999999999999999999999999999E-7 Rounded Inexact 1336 1337rounding: ceiling 1338dqadd371110 fma 1 -1e+2 +1e-6143 -> -99.99999999999999999999999999999999 Rounded Inexact 1339dqadd371111 fma 1 -1e+1 +1e-6143 -> -9.999999999999999999999999999999999 Rounded Inexact 1340dqadd371113 fma 1 -1 +1e-6143 -> -0.9999999999999999999999999999999999 Rounded Inexact 1341dqadd371114 fma 1 -1e-1 +1e-6143 -> -0.09999999999999999999999999999999999 Rounded Inexact 1342dqadd371115 fma 1 -1e-2 +1e-6143 -> -0.009999999999999999999999999999999999 Rounded Inexact 1343dqadd371116 fma 1 -1e-3 +1e-6143 -> -0.0009999999999999999999999999999999999 Rounded Inexact 1344dqadd371117 fma 1 -1e-4 +1e-6143 -> -0.00009999999999999999999999999999999999 Rounded Inexact 1345dqadd371118 fma 1 -1e-5 +1e-6143 -> -0.000009999999999999999999999999999999999 Rounded Inexact 1346dqadd371119 fma 1 -1e-6 +1e-6143 -> -9.999999999999999999999999999999999E-7 Rounded Inexact 1347 1348-- tests based on Gunnar Degnbol's edge case 1349rounding: half_even 1350 1351dqadd371300 fma 1 1E34 -0.5 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1352dqadd371310 fma 1 1E34 -0.51 -> 9999999999999999999999999999999999 Inexact Rounded 1353dqadd371311 fma 1 1E34 -0.501 -> 9999999999999999999999999999999999 Inexact Rounded 1354dqadd371312 fma 1 1E34 -0.5001 -> 9999999999999999999999999999999999 Inexact Rounded 1355dqadd371313 fma 1 1E34 -0.50001 -> 9999999999999999999999999999999999 Inexact Rounded 1356dqadd371314 fma 1 1E34 -0.500001 -> 9999999999999999999999999999999999 Inexact Rounded 1357dqadd371315 fma 1 1E34 -0.5000001 -> 9999999999999999999999999999999999 Inexact Rounded 1358dqadd371316 fma 1 1E34 -0.50000001 -> 9999999999999999999999999999999999 Inexact Rounded 1359dqadd371317 fma 1 1E34 -0.500000001 -> 9999999999999999999999999999999999 Inexact Rounded 1360dqadd371318 fma 1 1E34 -0.5000000001 -> 9999999999999999999999999999999999 Inexact Rounded 1361dqadd371319 fma 1 1E34 -0.50000000001 -> 9999999999999999999999999999999999 Inexact Rounded 1362dqadd371320 fma 1 1E34 -0.500000000001 -> 9999999999999999999999999999999999 Inexact Rounded 1363dqadd371321 fma 1 1E34 -0.5000000000001 -> 9999999999999999999999999999999999 Inexact Rounded 1364dqadd371322 fma 1 1E34 -0.50000000000001 -> 9999999999999999999999999999999999 Inexact Rounded 1365dqadd371323 fma 1 1E34 -0.500000000000001 -> 9999999999999999999999999999999999 Inexact Rounded 1366dqadd371324 fma 1 1E34 -0.5000000000000001 -> 9999999999999999999999999999999999 Inexact Rounded 1367dqadd371325 fma 1 1E34 -0.5000000000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1368dqadd371326 fma 1 1E34 -0.500000000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1369dqadd371327 fma 1 1E34 -0.50000000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1370dqadd371328 fma 1 1E34 -0.5000000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1371dqadd371329 fma 1 1E34 -0.500000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1372dqadd371330 fma 1 1E34 -0.50000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1373dqadd371331 fma 1 1E34 -0.5000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1374dqadd371332 fma 1 1E34 -0.500000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1375dqadd371333 fma 1 1E34 -0.50000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1376dqadd371334 fma 1 1E34 -0.5000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1377dqadd371335 fma 1 1E34 -0.500000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1378dqadd371336 fma 1 1E34 -0.50000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1379dqadd371337 fma 1 1E34 -0.5000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1380dqadd371338 fma 1 1E34 -0.500 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1381dqadd371339 fma 1 1E34 -0.50 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1382 1383dqadd371340 fma 1 1E34 -5000000.000010001 -> 9999999999999999999999999995000000 Inexact Rounded 1384dqadd371341 fma 1 1E34 -5000000.000000001 -> 9999999999999999999999999995000000 Inexact Rounded 1385 1386dqadd371349 fma 1 9999999999999999999999999999999999 0.4 -> 9999999999999999999999999999999999 Inexact Rounded 1387dqadd371350 fma 1 9999999999999999999999999999999999 0.49 -> 9999999999999999999999999999999999 Inexact Rounded 1388dqadd371351 fma 1 9999999999999999999999999999999999 0.499 -> 9999999999999999999999999999999999 Inexact Rounded 1389dqadd371352 fma 1 9999999999999999999999999999999999 0.4999 -> 9999999999999999999999999999999999 Inexact Rounded 1390dqadd371353 fma 1 9999999999999999999999999999999999 0.49999 -> 9999999999999999999999999999999999 Inexact Rounded 1391dqadd371354 fma 1 9999999999999999999999999999999999 0.499999 -> 9999999999999999999999999999999999 Inexact Rounded 1392dqadd371355 fma 1 9999999999999999999999999999999999 0.4999999 -> 9999999999999999999999999999999999 Inexact Rounded 1393dqadd371356 fma 1 9999999999999999999999999999999999 0.49999999 -> 9999999999999999999999999999999999 Inexact Rounded 1394dqadd371357 fma 1 9999999999999999999999999999999999 0.499999999 -> 9999999999999999999999999999999999 Inexact Rounded 1395dqadd371358 fma 1 9999999999999999999999999999999999 0.4999999999 -> 9999999999999999999999999999999999 Inexact Rounded 1396dqadd371359 fma 1 9999999999999999999999999999999999 0.49999999999 -> 9999999999999999999999999999999999 Inexact Rounded 1397dqadd371360 fma 1 9999999999999999999999999999999999 0.499999999999 -> 9999999999999999999999999999999999 Inexact Rounded 1398dqadd371361 fma 1 9999999999999999999999999999999999 0.4999999999999 -> 9999999999999999999999999999999999 Inexact Rounded 1399dqadd371362 fma 1 9999999999999999999999999999999999 0.49999999999999 -> 9999999999999999999999999999999999 Inexact Rounded 1400dqadd371363 fma 1 9999999999999999999999999999999999 0.499999999999999 -> 9999999999999999999999999999999999 Inexact Rounded 1401dqadd371364 fma 1 9999999999999999999999999999999999 0.4999999999999999 -> 9999999999999999999999999999999999 Inexact Rounded 1402dqadd371365 fma 1 9999999999999999999999999999999999 0.5000000000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1403dqadd371367 fma 1 9999999999999999999999999999999999 0.500000000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1404dqadd371368 fma 1 9999999999999999999999999999999999 0.50000000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1405dqadd371369 fma 1 9999999999999999999999999999999999 0.5000000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1406dqadd371370 fma 1 9999999999999999999999999999999999 0.500000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1407dqadd371371 fma 1 9999999999999999999999999999999999 0.50000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1408dqadd371372 fma 1 9999999999999999999999999999999999 0.5000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1409dqadd371373 fma 1 9999999999999999999999999999999999 0.500000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1410dqadd371374 fma 1 9999999999999999999999999999999999 0.50000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1411dqadd371375 fma 1 9999999999999999999999999999999999 0.5000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1412dqadd371376 fma 1 9999999999999999999999999999999999 0.500000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1413dqadd371377 fma 1 9999999999999999999999999999999999 0.50000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1414dqadd371378 fma 1 9999999999999999999999999999999999 0.5000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1415dqadd371379 fma 1 9999999999999999999999999999999999 0.500 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1416dqadd371380 fma 1 9999999999999999999999999999999999 0.50 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1417dqadd371381 fma 1 9999999999999999999999999999999999 0.5 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1418dqadd371382 fma 1 9999999999999999999999999999999999 0.5000000000000001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1419dqadd371383 fma 1 9999999999999999999999999999999999 0.500000000000001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1420dqadd371384 fma 1 9999999999999999999999999999999999 0.50000000000001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1421dqadd371385 fma 1 9999999999999999999999999999999999 0.5000000000001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1422dqadd371386 fma 1 9999999999999999999999999999999999 0.500000000001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1423dqadd371387 fma 1 9999999999999999999999999999999999 0.50000000001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1424dqadd371388 fma 1 9999999999999999999999999999999999 0.5000000001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1425dqadd371389 fma 1 9999999999999999999999999999999999 0.500000001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1426dqadd371390 fma 1 9999999999999999999999999999999999 0.50000001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1427dqadd371391 fma 1 9999999999999999999999999999999999 0.5000001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1428dqadd371392 fma 1 9999999999999999999999999999999999 0.500001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1429dqadd371393 fma 1 9999999999999999999999999999999999 0.50001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1430dqadd371394 fma 1 9999999999999999999999999999999999 0.5001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1431dqadd371395 fma 1 9999999999999999999999999999999999 0.501 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1432dqadd371396 fma 1 9999999999999999999999999999999999 0.51 -> 1.000000000000000000000000000000000E+34 Inexact Rounded 1433 1434-- More GD edge cases, where difference between the unadjusted 1435-- exponents is larger than the maximum precision and one side is 0 1436dqadd371420 fma 1 0 1.123456789987654321123456789012345 -> 1.123456789987654321123456789012345 1437dqadd371421 fma 1 0 1.123456789987654321123456789012345E-1 -> 0.1123456789987654321123456789012345 1438dqadd371422 fma 1 0 1.123456789987654321123456789012345E-2 -> 0.01123456789987654321123456789012345 1439dqadd371423 fma 1 0 1.123456789987654321123456789012345E-3 -> 0.001123456789987654321123456789012345 1440dqadd371424 fma 1 0 1.123456789987654321123456789012345E-4 -> 0.0001123456789987654321123456789012345 1441dqadd371425 fma 1 0 1.123456789987654321123456789012345E-5 -> 0.00001123456789987654321123456789012345 1442dqadd371426 fma 1 0 1.123456789987654321123456789012345E-6 -> 0.000001123456789987654321123456789012345 1443dqadd371427 fma 1 0 1.123456789987654321123456789012345E-7 -> 1.123456789987654321123456789012345E-7 1444dqadd371428 fma 1 0 1.123456789987654321123456789012345E-8 -> 1.123456789987654321123456789012345E-8 1445dqadd371429 fma 1 0 1.123456789987654321123456789012345E-9 -> 1.123456789987654321123456789012345E-9 1446dqadd371430 fma 1 0 1.123456789987654321123456789012345E-10 -> 1.123456789987654321123456789012345E-10 1447dqadd371431 fma 1 0 1.123456789987654321123456789012345E-11 -> 1.123456789987654321123456789012345E-11 1448dqadd371432 fma 1 0 1.123456789987654321123456789012345E-12 -> 1.123456789987654321123456789012345E-12 1449dqadd371433 fma 1 0 1.123456789987654321123456789012345E-13 -> 1.123456789987654321123456789012345E-13 1450dqadd371434 fma 1 0 1.123456789987654321123456789012345E-14 -> 1.123456789987654321123456789012345E-14 1451dqadd371435 fma 1 0 1.123456789987654321123456789012345E-15 -> 1.123456789987654321123456789012345E-15 1452dqadd371436 fma 1 0 1.123456789987654321123456789012345E-16 -> 1.123456789987654321123456789012345E-16 1453dqadd371437 fma 1 0 1.123456789987654321123456789012345E-17 -> 1.123456789987654321123456789012345E-17 1454dqadd371438 fma 1 0 1.123456789987654321123456789012345E-18 -> 1.123456789987654321123456789012345E-18 1455dqadd371439 fma 1 0 1.123456789987654321123456789012345E-19 -> 1.123456789987654321123456789012345E-19 1456dqadd371440 fma 1 0 1.123456789987654321123456789012345E-20 -> 1.123456789987654321123456789012345E-20 1457dqadd371441 fma 1 0 1.123456789987654321123456789012345E-21 -> 1.123456789987654321123456789012345E-21 1458dqadd371442 fma 1 0 1.123456789987654321123456789012345E-22 -> 1.123456789987654321123456789012345E-22 1459dqadd371443 fma 1 0 1.123456789987654321123456789012345E-23 -> 1.123456789987654321123456789012345E-23 1460dqadd371444 fma 1 0 1.123456789987654321123456789012345E-24 -> 1.123456789987654321123456789012345E-24 1461dqadd371445 fma 1 0 1.123456789987654321123456789012345E-25 -> 1.123456789987654321123456789012345E-25 1462dqadd371446 fma 1 0 1.123456789987654321123456789012345E-26 -> 1.123456789987654321123456789012345E-26 1463dqadd371447 fma 1 0 1.123456789987654321123456789012345E-27 -> 1.123456789987654321123456789012345E-27 1464dqadd371448 fma 1 0 1.123456789987654321123456789012345E-28 -> 1.123456789987654321123456789012345E-28 1465dqadd371449 fma 1 0 1.123456789987654321123456789012345E-29 -> 1.123456789987654321123456789012345E-29 1466dqadd371450 fma 1 0 1.123456789987654321123456789012345E-30 -> 1.123456789987654321123456789012345E-30 1467dqadd371451 fma 1 0 1.123456789987654321123456789012345E-31 -> 1.123456789987654321123456789012345E-31 1468dqadd371452 fma 1 0 1.123456789987654321123456789012345E-32 -> 1.123456789987654321123456789012345E-32 1469dqadd371453 fma 1 0 1.123456789987654321123456789012345E-33 -> 1.123456789987654321123456789012345E-33 1470dqadd371454 fma 1 0 1.123456789987654321123456789012345E-34 -> 1.123456789987654321123456789012345E-34 1471dqadd371455 fma 1 0 1.123456789987654321123456789012345E-35 -> 1.123456789987654321123456789012345E-35 1472dqadd371456 fma 1 0 1.123456789987654321123456789012345E-36 -> 1.123456789987654321123456789012345E-36 1473 1474-- same, reversed 0 1475dqadd371460 fma 1 1.123456789987654321123456789012345 0 -> 1.123456789987654321123456789012345 1476dqadd371461 fma 1 1.123456789987654321123456789012345E-1 0 -> 0.1123456789987654321123456789012345 1477dqadd371462 fma 1 1.123456789987654321123456789012345E-2 0 -> 0.01123456789987654321123456789012345 1478dqadd371463 fma 1 1.123456789987654321123456789012345E-3 0 -> 0.001123456789987654321123456789012345 1479dqadd371464 fma 1 1.123456789987654321123456789012345E-4 0 -> 0.0001123456789987654321123456789012345 1480dqadd371465 fma 1 1.123456789987654321123456789012345E-5 0 -> 0.00001123456789987654321123456789012345 1481dqadd371466 fma 1 1.123456789987654321123456789012345E-6 0 -> 0.000001123456789987654321123456789012345 1482dqadd371467 fma 1 1.123456789987654321123456789012345E-7 0 -> 1.123456789987654321123456789012345E-7 1483dqadd371468 fma 1 1.123456789987654321123456789012345E-8 0 -> 1.123456789987654321123456789012345E-8 1484dqadd371469 fma 1 1.123456789987654321123456789012345E-9 0 -> 1.123456789987654321123456789012345E-9 1485dqadd371470 fma 1 1.123456789987654321123456789012345E-10 0 -> 1.123456789987654321123456789012345E-10 1486dqadd371471 fma 1 1.123456789987654321123456789012345E-11 0 -> 1.123456789987654321123456789012345E-11 1487dqadd371472 fma 1 1.123456789987654321123456789012345E-12 0 -> 1.123456789987654321123456789012345E-12 1488dqadd371473 fma 1 1.123456789987654321123456789012345E-13 0 -> 1.123456789987654321123456789012345E-13 1489dqadd371474 fma 1 1.123456789987654321123456789012345E-14 0 -> 1.123456789987654321123456789012345E-14 1490dqadd371475 fma 1 1.123456789987654321123456789012345E-15 0 -> 1.123456789987654321123456789012345E-15 1491dqadd371476 fma 1 1.123456789987654321123456789012345E-16 0 -> 1.123456789987654321123456789012345E-16 1492dqadd371477 fma 1 1.123456789987654321123456789012345E-17 0 -> 1.123456789987654321123456789012345E-17 1493dqadd371478 fma 1 1.123456789987654321123456789012345E-18 0 -> 1.123456789987654321123456789012345E-18 1494dqadd371479 fma 1 1.123456789987654321123456789012345E-19 0 -> 1.123456789987654321123456789012345E-19 1495dqadd371480 fma 1 1.123456789987654321123456789012345E-20 0 -> 1.123456789987654321123456789012345E-20 1496dqadd371481 fma 1 1.123456789987654321123456789012345E-21 0 -> 1.123456789987654321123456789012345E-21 1497dqadd371482 fma 1 1.123456789987654321123456789012345E-22 0 -> 1.123456789987654321123456789012345E-22 1498dqadd371483 fma 1 1.123456789987654321123456789012345E-23 0 -> 1.123456789987654321123456789012345E-23 1499dqadd371484 fma 1 1.123456789987654321123456789012345E-24 0 -> 1.123456789987654321123456789012345E-24 1500dqadd371485 fma 1 1.123456789987654321123456789012345E-25 0 -> 1.123456789987654321123456789012345E-25 1501dqadd371486 fma 1 1.123456789987654321123456789012345E-26 0 -> 1.123456789987654321123456789012345E-26 1502dqadd371487 fma 1 1.123456789987654321123456789012345E-27 0 -> 1.123456789987654321123456789012345E-27 1503dqadd371488 fma 1 1.123456789987654321123456789012345E-28 0 -> 1.123456789987654321123456789012345E-28 1504dqadd371489 fma 1 1.123456789987654321123456789012345E-29 0 -> 1.123456789987654321123456789012345E-29 1505dqadd371490 fma 1 1.123456789987654321123456789012345E-30 0 -> 1.123456789987654321123456789012345E-30 1506dqadd371491 fma 1 1.123456789987654321123456789012345E-31 0 -> 1.123456789987654321123456789012345E-31 1507dqadd371492 fma 1 1.123456789987654321123456789012345E-32 0 -> 1.123456789987654321123456789012345E-32 1508dqadd371493 fma 1 1.123456789987654321123456789012345E-33 0 -> 1.123456789987654321123456789012345E-33 1509dqadd371494 fma 1 1.123456789987654321123456789012345E-34 0 -> 1.123456789987654321123456789012345E-34 1510dqadd371495 fma 1 1.123456789987654321123456789012345E-35 0 -> 1.123456789987654321123456789012345E-35 1511dqadd371496 fma 1 1.123456789987654321123456789012345E-36 0 -> 1.123456789987654321123456789012345E-36 1512 1513-- same, Es on the 0 1514dqadd371500 fma 1 1.123456789987654321123456789012345 0E-0 -> 1.123456789987654321123456789012345 1515dqadd371501 fma 1 1.123456789987654321123456789012345 0E-1 -> 1.123456789987654321123456789012345 1516dqadd371502 fma 1 1.123456789987654321123456789012345 0E-2 -> 1.123456789987654321123456789012345 1517dqadd371503 fma 1 1.123456789987654321123456789012345 0E-3 -> 1.123456789987654321123456789012345 1518dqadd371504 fma 1 1.123456789987654321123456789012345 0E-4 -> 1.123456789987654321123456789012345 1519dqadd371505 fma 1 1.123456789987654321123456789012345 0E-5 -> 1.123456789987654321123456789012345 1520dqadd371506 fma 1 1.123456789987654321123456789012345 0E-6 -> 1.123456789987654321123456789012345 1521dqadd371507 fma 1 1.123456789987654321123456789012345 0E-7 -> 1.123456789987654321123456789012345 1522dqadd371508 fma 1 1.123456789987654321123456789012345 0E-8 -> 1.123456789987654321123456789012345 1523dqadd371509 fma 1 1.123456789987654321123456789012345 0E-9 -> 1.123456789987654321123456789012345 1524dqadd371510 fma 1 1.123456789987654321123456789012345 0E-10 -> 1.123456789987654321123456789012345 1525dqadd371511 fma 1 1.123456789987654321123456789012345 0E-11 -> 1.123456789987654321123456789012345 1526dqadd371512 fma 1 1.123456789987654321123456789012345 0E-12 -> 1.123456789987654321123456789012345 1527dqadd371513 fma 1 1.123456789987654321123456789012345 0E-13 -> 1.123456789987654321123456789012345 1528dqadd371514 fma 1 1.123456789987654321123456789012345 0E-14 -> 1.123456789987654321123456789012345 1529dqadd371515 fma 1 1.123456789987654321123456789012345 0E-15 -> 1.123456789987654321123456789012345 1530dqadd371516 fma 1 1.123456789987654321123456789012345 0E-16 -> 1.123456789987654321123456789012345 1531dqadd371517 fma 1 1.123456789987654321123456789012345 0E-17 -> 1.123456789987654321123456789012345 1532dqadd371518 fma 1 1.123456789987654321123456789012345 0E-18 -> 1.123456789987654321123456789012345 1533dqadd371519 fma 1 1.123456789987654321123456789012345 0E-19 -> 1.123456789987654321123456789012345 1534dqadd371520 fma 1 1.123456789987654321123456789012345 0E-20 -> 1.123456789987654321123456789012345 1535dqadd371521 fma 1 1.123456789987654321123456789012345 0E-21 -> 1.123456789987654321123456789012345 1536dqadd371522 fma 1 1.123456789987654321123456789012345 0E-22 -> 1.123456789987654321123456789012345 1537dqadd371523 fma 1 1.123456789987654321123456789012345 0E-23 -> 1.123456789987654321123456789012345 1538dqadd371524 fma 1 1.123456789987654321123456789012345 0E-24 -> 1.123456789987654321123456789012345 1539dqadd371525 fma 1 1.123456789987654321123456789012345 0E-25 -> 1.123456789987654321123456789012345 1540dqadd371526 fma 1 1.123456789987654321123456789012345 0E-26 -> 1.123456789987654321123456789012345 1541dqadd371527 fma 1 1.123456789987654321123456789012345 0E-27 -> 1.123456789987654321123456789012345 1542dqadd371528 fma 1 1.123456789987654321123456789012345 0E-28 -> 1.123456789987654321123456789012345 1543dqadd371529 fma 1 1.123456789987654321123456789012345 0E-29 -> 1.123456789987654321123456789012345 1544dqadd371530 fma 1 1.123456789987654321123456789012345 0E-30 -> 1.123456789987654321123456789012345 1545dqadd371531 fma 1 1.123456789987654321123456789012345 0E-31 -> 1.123456789987654321123456789012345 1546dqadd371532 fma 1 1.123456789987654321123456789012345 0E-32 -> 1.123456789987654321123456789012345 1547dqadd371533 fma 1 1.123456789987654321123456789012345 0E-33 -> 1.123456789987654321123456789012345 1548-- next four flag Rounded because the 0 extends the result 1549dqadd371534 fma 1 1.123456789987654321123456789012345 0E-34 -> 1.123456789987654321123456789012345 Rounded 1550dqadd371535 fma 1 1.123456789987654321123456789012345 0E-35 -> 1.123456789987654321123456789012345 Rounded 1551dqadd371536 fma 1 1.123456789987654321123456789012345 0E-36 -> 1.123456789987654321123456789012345 Rounded 1552dqadd371537 fma 1 1.123456789987654321123456789012345 0E-37 -> 1.123456789987654321123456789012345 Rounded 1553 1554-- sum of two opposite-sign operands is exactly 0 and floor => -0 1555rounding: half_up 1556-- exact zeros from zeros 1557dqadd371600 fma 1 0 0E-19 -> 0E-19 1558dqadd371601 fma 1 -0 0E-19 -> 0E-19 1559dqadd371602 fma 1 0 -0E-19 -> 0E-19 1560dqadd371603 fma 1 -0 -0E-19 -> -0E-19 1561-- exact zeros from non-zeros 1562dqadd371611 fma 1 -11 11 -> 0 1563dqadd371612 fma 1 11 -11 -> 0 1564-- overflow 1565dqadd371613 fma 9E6144 10 1 -> Infinity Overflow Inexact Rounded 1566dqadd371614 fma -9E6144 10 1 -> -Infinity Overflow Inexact Rounded 1567 1568rounding: half_down 1569-- exact zeros from zeros 1570dqadd371620 fma 1 0 0E-19 -> 0E-19 1571dqadd371621 fma 1 -0 0E-19 -> 0E-19 1572dqadd371622 fma 1 0 -0E-19 -> 0E-19 1573dqadd371623 fma 1 -0 -0E-19 -> -0E-19 1574-- exact zeros from non-zeros 1575dqadd371631 fma 1 -11 11 -> 0 1576dqadd371632 fma 1 11 -11 -> 0 1577-- overflow 1578dqadd371633 fma 9E6144 10 1 -> Infinity Overflow Inexact Rounded 1579dqadd371634 fma -9E6144 10 1 -> -Infinity Overflow Inexact Rounded 1580 1581rounding: half_even 1582-- exact zeros from zeros 1583dqadd371640 fma 1 0 0E-19 -> 0E-19 1584dqadd371641 fma 1 -0 0E-19 -> 0E-19 1585dqadd371642 fma 1 0 -0E-19 -> 0E-19 1586dqadd371643 fma 1 -0 -0E-19 -> -0E-19 1587-- exact zeros from non-zeros 1588dqadd371651 fma 1 -11 11 -> 0 1589dqadd371652 fma 1 11 -11 -> 0 1590-- overflow 1591dqadd371653 fma 9E6144 10 1 -> Infinity Overflow Inexact Rounded 1592dqadd371654 fma -9E6144 10 1 -> -Infinity Overflow Inexact Rounded 1593 1594rounding: up 1595-- exact zeros from zeros 1596dqadd371660 fma 1 0 0E-19 -> 0E-19 1597dqadd371661 fma 1 -0 0E-19 -> 0E-19 1598dqadd371662 fma 1 0 -0E-19 -> 0E-19 1599dqadd371663 fma 1 -0 -0E-19 -> -0E-19 1600-- exact zeros from non-zeros 1601dqadd371671 fma 1 -11 11 -> 0 1602dqadd371672 fma 1 11 -11 -> 0 1603-- overflow 1604dqadd371673 fma 9E6144 10 1 -> Infinity Overflow Inexact Rounded 1605dqadd371674 fma -9E6144 10 1 -> -Infinity Overflow Inexact Rounded 1606 1607rounding: down 1608-- exact zeros from zeros 1609dqadd371680 fma 1 0 0E-19 -> 0E-19 1610dqadd371681 fma 1 -0 0E-19 -> 0E-19 1611dqadd371682 fma 1 0 -0E-19 -> 0E-19 1612dqadd371683 fma 1 -0 -0E-19 -> -0E-19 1613-- exact zeros from non-zeros 1614dqadd371691 fma 1 -11 11 -> 0 1615dqadd371692 fma 1 11 -11 -> 0 1616-- overflow 1617dqadd371693 fma 9E6144 10 1 -> 9.999999999999999999999999999999999E+6144 Overflow Inexact Rounded 1618dqadd371694 fma -9E6144 10 1 -> -9.999999999999999999999999999999999E+6144 Overflow Inexact Rounded 1619 1620rounding: ceiling 1621-- exact zeros from zeros 1622dqadd371700 fma 1 0 0E-19 -> 0E-19 1623dqadd371701 fma 1 -0 0E-19 -> 0E-19 1624dqadd371702 fma 1 0 -0E-19 -> 0E-19 1625dqadd371703 fma 1 -0 -0E-19 -> -0E-19 1626-- exact zeros from non-zeros 1627dqadd371711 fma 1 -11 11 -> 0 1628dqadd371712 fma 1 11 -11 -> 0 1629-- overflow 1630dqadd371713 fma 9E6144 10 1 -> Infinity Overflow Inexact Rounded 1631dqadd371714 fma -9E6144 10 1 -> -9.999999999999999999999999999999999E+6144 Overflow Inexact Rounded 1632 1633-- and the extra-special ugly case; unusual minuses marked by -- * 1634rounding: floor 1635-- exact zeros from zeros 1636dqadd371720 fma 1 0 0E-19 -> 0E-19 1637dqadd371721 fma 1 -0 0E-19 -> -0E-19 -- * 1638dqadd371722 fma 1 0 -0E-19 -> -0E-19 -- * 1639dqadd371723 fma 1 -0 -0E-19 -> -0E-19 1640-- exact zeros from non-zeros 1641dqadd371731 fma 1 -11 11 -> -0 -- * 1642dqadd371732 fma 1 11 -11 -> -0 -- * 1643-- overflow 1644dqadd371733 fma 9E6144 10 1 -> 9.999999999999999999999999999999999E+6144 Overflow Inexact Rounded 1645dqadd371734 fma -9E6144 10 1 -> -Infinity Overflow Inexact Rounded 1646 1647rounding: 05up 1648-- exact zeros from zeros 1649dqadd371740 fma 1 0 0E-19 -> 0E-19 1650dqadd371741 fma 1 -0 0E-19 -> 0E-19 1651dqadd371742 fma 1 0 -0E-19 -> 0E-19 1652dqadd371743 fma 1 -0 -0E-19 -> -0E-19 1653-- exact zeros from non-zeros 1654dqadd371751 fma 1 -11 11 -> 0 1655dqadd371752 fma 1 11 -11 -> 0 1656-- overflow 1657dqadd371753 fma 9E6144 10 1 -> 9.999999999999999999999999999999999E+6144 Overflow Inexact Rounded 1658dqadd371754 fma -9E6144 10 1 -> -9.999999999999999999999999999999999E+6144 Overflow Inexact Rounded 1659 1660-- Examples from SQL proposal (Krishna Kulkarni) 1661dqadd371761 fma 1 130E-2 120E-2 -> 2.50 1662dqadd371762 fma 1 130E-2 12E-1 -> 2.50 1663dqadd371763 fma 1 130E-2 1E0 -> 2.30 1664dqadd371764 fma 1 1E2 1E4 -> 1.01E+4 1665dqadd371765 fma 1 130E-2 -120E-2 -> 0.10 1666dqadd371766 fma 1 130E-2 -12E-1 -> 0.10 1667dqadd371767 fma 1 130E-2 -1E0 -> 0.30 1668dqadd371768 fma 1 1E2 -1E4 -> -9.9E+3 1669 1670-- Gappy coefficients; check residue handling even with full coefficient gap 1671rounding: half_even 1672 1673dqadd375001 fma 1 1239876543211234567894567890123456 1 -> 1239876543211234567894567890123457 1674dqadd375002 fma 1 1239876543211234567894567890123456 0.6 -> 1239876543211234567894567890123457 Inexact Rounded 1675dqadd375003 fma 1 1239876543211234567894567890123456 0.06 -> 1239876543211234567894567890123456 Inexact Rounded 1676dqadd375004 fma 1 1239876543211234567894567890123456 6E-3 -> 1239876543211234567894567890123456 Inexact Rounded 1677dqadd375005 fma 1 1239876543211234567894567890123456 6E-4 -> 1239876543211234567894567890123456 Inexact Rounded 1678dqadd375006 fma 1 1239876543211234567894567890123456 6E-5 -> 1239876543211234567894567890123456 Inexact Rounded 1679dqadd375007 fma 1 1239876543211234567894567890123456 6E-6 -> 1239876543211234567894567890123456 Inexact Rounded 1680dqadd375008 fma 1 1239876543211234567894567890123456 6E-7 -> 1239876543211234567894567890123456 Inexact Rounded 1681dqadd375009 fma 1 1239876543211234567894567890123456 6E-8 -> 1239876543211234567894567890123456 Inexact Rounded 1682dqadd375010 fma 1 1239876543211234567894567890123456 6E-9 -> 1239876543211234567894567890123456 Inexact Rounded 1683dqadd375011 fma 1 1239876543211234567894567890123456 6E-10 -> 1239876543211234567894567890123456 Inexact Rounded 1684dqadd375012 fma 1 1239876543211234567894567890123456 6E-11 -> 1239876543211234567894567890123456 Inexact Rounded 1685dqadd375013 fma 1 1239876543211234567894567890123456 6E-12 -> 1239876543211234567894567890123456 Inexact Rounded 1686dqadd375014 fma 1 1239876543211234567894567890123456 6E-13 -> 1239876543211234567894567890123456 Inexact Rounded 1687dqadd375015 fma 1 1239876543211234567894567890123456 6E-14 -> 1239876543211234567894567890123456 Inexact Rounded 1688dqadd375016 fma 1 1239876543211234567894567890123456 6E-15 -> 1239876543211234567894567890123456 Inexact Rounded 1689dqadd375017 fma 1 1239876543211234567894567890123456 6E-16 -> 1239876543211234567894567890123456 Inexact Rounded 1690dqadd375018 fma 1 1239876543211234567894567890123456 6E-17 -> 1239876543211234567894567890123456 Inexact Rounded 1691dqadd375019 fma 1 1239876543211234567894567890123456 6E-18 -> 1239876543211234567894567890123456 Inexact Rounded 1692dqadd375020 fma 1 1239876543211234567894567890123456 6E-19 -> 1239876543211234567894567890123456 Inexact Rounded 1693dqadd375021 fma 1 1239876543211234567894567890123456 6E-20 -> 1239876543211234567894567890123456 Inexact Rounded 1694 1695-- widening second argument at gap 1696dqadd375030 fma 1 12398765432112345678945678 1 -> 12398765432112345678945679 1697dqadd375031 fma 1 12398765432112345678945678 0.1 -> 12398765432112345678945678.1 1698dqadd375032 fma 1 12398765432112345678945678 0.12 -> 12398765432112345678945678.12 1699dqadd375033 fma 1 12398765432112345678945678 0.123 -> 12398765432112345678945678.123 1700dqadd375034 fma 1 12398765432112345678945678 0.1234 -> 12398765432112345678945678.1234 1701dqadd375035 fma 1 12398765432112345678945678 0.12345 -> 12398765432112345678945678.12345 1702dqadd375036 fma 1 12398765432112345678945678 0.123456 -> 12398765432112345678945678.123456 1703dqadd375037 fma 1 12398765432112345678945678 0.1234567 -> 12398765432112345678945678.1234567 1704dqadd375038 fma 1 12398765432112345678945678 0.12345678 -> 12398765432112345678945678.12345678 1705dqadd375039 fma 1 12398765432112345678945678 0.123456789 -> 12398765432112345678945678.12345679 Inexact Rounded 1706dqadd375040 fma 1 12398765432112345678945678 0.123456785 -> 12398765432112345678945678.12345678 Inexact Rounded 1707dqadd375041 fma 1 12398765432112345678945678 0.1234567850 -> 12398765432112345678945678.12345678 Inexact Rounded 1708dqadd375042 fma 1 12398765432112345678945678 0.1234567851 -> 12398765432112345678945678.12345679 Inexact Rounded 1709dqadd375043 fma 1 12398765432112345678945678 0.12345678501 -> 12398765432112345678945678.12345679 Inexact Rounded 1710dqadd375044 fma 1 12398765432112345678945678 0.123456785001 -> 12398765432112345678945678.12345679 Inexact Rounded 1711dqadd375045 fma 1 12398765432112345678945678 0.1234567850001 -> 12398765432112345678945678.12345679 Inexact Rounded 1712dqadd375046 fma 1 12398765432112345678945678 0.12345678500001 -> 12398765432112345678945678.12345679 Inexact Rounded 1713dqadd375047 fma 1 12398765432112345678945678 0.123456785000001 -> 12398765432112345678945678.12345679 Inexact Rounded 1714dqadd375048 fma 1 12398765432112345678945678 0.1234567850000001 -> 12398765432112345678945678.12345679 Inexact Rounded 1715dqadd375049 fma 1 12398765432112345678945678 0.1234567850000000 -> 12398765432112345678945678.12345678 Inexact Rounded 1716-- 90123456 1717rounding: half_even 1718dqadd375050 fma 1 12398765432112345678945678 0.0234567750000000 -> 12398765432112345678945678.02345678 Inexact Rounded 1719dqadd375051 fma 1 12398765432112345678945678 0.0034567750000000 -> 12398765432112345678945678.00345678 Inexact Rounded 1720dqadd375052 fma 1 12398765432112345678945678 0.0004567750000000 -> 12398765432112345678945678.00045678 Inexact Rounded 1721dqadd375053 fma 1 12398765432112345678945678 0.0000567750000000 -> 12398765432112345678945678.00005678 Inexact Rounded 1722dqadd375054 fma 1 12398765432112345678945678 0.0000067750000000 -> 12398765432112345678945678.00000678 Inexact Rounded 1723dqadd375055 fma 1 12398765432112345678945678 0.0000007750000000 -> 12398765432112345678945678.00000078 Inexact Rounded 1724dqadd375056 fma 1 12398765432112345678945678 0.0000000750000000 -> 12398765432112345678945678.00000008 Inexact Rounded 1725dqadd375057 fma 1 12398765432112345678945678 0.0000000050000000 -> 12398765432112345678945678.00000000 Inexact Rounded 1726dqadd375060 fma 1 12398765432112345678945678 0.0234567750000001 -> 12398765432112345678945678.02345678 Inexact Rounded 1727dqadd375061 fma 1 12398765432112345678945678 0.0034567750000001 -> 12398765432112345678945678.00345678 Inexact Rounded 1728dqadd375062 fma 1 12398765432112345678945678 0.0004567750000001 -> 12398765432112345678945678.00045678 Inexact Rounded 1729dqadd375063 fma 1 12398765432112345678945678 0.0000567750000001 -> 12398765432112345678945678.00005678 Inexact Rounded 1730dqadd375064 fma 1 12398765432112345678945678 0.0000067750000001 -> 12398765432112345678945678.00000678 Inexact Rounded 1731dqadd375065 fma 1 12398765432112345678945678 0.0000007750000001 -> 12398765432112345678945678.00000078 Inexact Rounded 1732dqadd375066 fma 1 12398765432112345678945678 0.0000000750000001 -> 12398765432112345678945678.00000008 Inexact Rounded 1733dqadd375067 fma 1 12398765432112345678945678 0.0000000050000001 -> 12398765432112345678945678.00000001 Inexact Rounded 1734-- far-out residues (full coefficient gap is 16+15 digits) 1735rounding: up 1736dqadd375070 fma 1 12398765432112345678945678 1E-8 -> 12398765432112345678945678.00000001 1737dqadd375071 fma 1 12398765432112345678945678 1E-9 -> 12398765432112345678945678.00000001 Inexact Rounded 1738dqadd375072 fma 1 12398765432112345678945678 1E-10 -> 12398765432112345678945678.00000001 Inexact Rounded 1739dqadd375073 fma 1 12398765432112345678945678 1E-11 -> 12398765432112345678945678.00000001 Inexact Rounded 1740dqadd375074 fma 1 12398765432112345678945678 1E-12 -> 12398765432112345678945678.00000001 Inexact Rounded 1741dqadd375075 fma 1 12398765432112345678945678 1E-13 -> 12398765432112345678945678.00000001 Inexact Rounded 1742dqadd375076 fma 1 12398765432112345678945678 1E-14 -> 12398765432112345678945678.00000001 Inexact Rounded 1743dqadd375077 fma 1 12398765432112345678945678 1E-15 -> 12398765432112345678945678.00000001 Inexact Rounded 1744dqadd375078 fma 1 12398765432112345678945678 1E-16 -> 12398765432112345678945678.00000001 Inexact Rounded 1745dqadd375079 fma 1 12398765432112345678945678 1E-17 -> 12398765432112345678945678.00000001 Inexact Rounded 1746dqadd375080 fma 1 12398765432112345678945678 1E-18 -> 12398765432112345678945678.00000001 Inexact Rounded 1747dqadd375081 fma 1 12398765432112345678945678 1E-19 -> 12398765432112345678945678.00000001 Inexact Rounded 1748dqadd375082 fma 1 12398765432112345678945678 1E-20 -> 12398765432112345678945678.00000001 Inexact Rounded 1749dqadd375083 fma 1 12398765432112345678945678 1E-25 -> 12398765432112345678945678.00000001 Inexact Rounded 1750dqadd375084 fma 1 12398765432112345678945678 1E-30 -> 12398765432112345678945678.00000001 Inexact Rounded 1751dqadd375085 fma 1 12398765432112345678945678 1E-31 -> 12398765432112345678945678.00000001 Inexact Rounded 1752dqadd375086 fma 1 12398765432112345678945678 1E-32 -> 12398765432112345678945678.00000001 Inexact Rounded 1753dqadd375087 fma 1 12398765432112345678945678 1E-33 -> 12398765432112345678945678.00000001 Inexact Rounded 1754dqadd375088 fma 1 12398765432112345678945678 1E-34 -> 12398765432112345678945678.00000001 Inexact Rounded 1755dqadd375089 fma 1 12398765432112345678945678 1E-35 -> 12398765432112345678945678.00000001 Inexact Rounded 1756 1757-- Destructive subtract (from remainder tests) 1758 1759-- +++ some of these will be off-by-one remainder vs remainderNear 1760 1761dqfma4000 fma -1234567890123456789012345678901233 1.000000000000000000000000000000001 1234567890123456789012345678901234 -> -0.234567890123456789012345678901233 1762dqfma4001 fma -1234567890123456789012345678901222 1.00000000000000000000000000000001 1234567890123456789012345678901234 -> -0.34567890123456789012345678901222 1763dqfma4002 fma -1234567890123456789012345678901111 1.0000000000000000000000000000001 1234567890123456789012345678901234 -> -0.4567890123456789012345678901111 1764dqfma4003 fma -308641972530864197253086419725314 4.000000000000000000000000000000001 1234567890123456789012345678901255 -> -1.308641972530864197253086419725314 1765dqfma4004 fma -308641972530864197253086419725308 4.000000000000000000000000000000001 1234567890123456789012345678901234 -> 1.691358027469135802746913580274692 1766dqfma4005 fma -246913578024691357802469135780252 4.9999999999999999999999999999999 1234567890123456789012345678901234 -> -1.3086421975308642197530864219748 1767dqfma4006 fma -246913578024691357802469135780247 4.99999999999999999999999999999999 1234567890123456789012345678901234 -> 1.46913578024691357802469135780247 1768dqfma4007 fma -246913578024691357802469135780247 4.999999999999999999999999999999999 1234567890123456789012345678901234 -> -0.753086421975308642197530864219753 1769dqfma4008 fma -246913578024691357802469135780247 5.000000000000000000000000000000001 1234567890123456789012345678901234 -> -1.246913578024691357802469135780247 1770dqfma4009 fma -246913578024691357802469135780246 5.00000000000000000000000000000001 1234567890123456789012345678901234 -> 1.53086421975308642197530864219754 1771dqfma4010 fma -246913578024691357802469135780242 5.0000000000000000000000000000001 1234567890123456789012345678901234 -> -0.6913578024691357802469135780242 1772dqfma4011 fma -1234567890123456789012345678901232 1.000000000000000000000000000000001 1234567890123456789012345678901234 -> 0.765432109876543210987654321098768 1773dqfma4012 fma -1234567890123456789012345678901221 1.00000000000000000000000000000001 1234567890123456789012345678901234 -> 0.65432109876543210987654321098779 1774dqfma4013 fma -1234567890123456789012345678901110 1.0000000000000000000000000000001 1234567890123456789012345678901234 -> 0.5432109876543210987654321098890 1775dqfma4014 fma -308641972530864197253086419725313 4.000000000000000000000000000000001 1234567890123456789012345678901255 -> 2.691358027469135802746913580274687 1776dqfma4015 fma -308641972530864197253086419725308 4.000000000000000000000000000000001 1234567890123456789012345678901234 -> 1.691358027469135802746913580274692 1777dqfma4016 fma -246913578024691357802469135780251 4.9999999999999999999999999999999 1234567890123456789012345678901234 -> 3.6913578024691357802469135780251 1778dqfma4017 fma -246913578024691357802469135780247 4.99999999999999999999999999999999 1234567890123456789012345678901234 -> 1.46913578024691357802469135780247 1779dqfma4018 fma -246913578024691357802469135780246 4.999999999999999999999999999999999 1234567890123456789012345678901234 -> 4.246913578024691357802469135780246 1780dqfma4019 fma -246913578024691357802469135780241 5.0000000000000000000000000000001 1234567890123456789012345678901234 -> 4.3086421975308642197530864219759 1781 1782-- Null tests 1783dqadd39990 fma 1 10 # -> NaN Invalid_operation 1784dqadd39991 fma 1 # 10 -> NaN Invalid_operation 1785 1786 1787