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Diffstat (limited to 'lib/python2.7/test/decimaltestdata/dqFMA.decTest')
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diff --git a/lib/python2.7/test/decimaltestdata/dqFMA.decTest b/lib/python2.7/test/decimaltestdata/dqFMA.decTest new file mode 100644 index 0000000..d884553 --- /dev/null +++ b/lib/python2.7/test/decimaltestdata/dqFMA.decTest @@ -0,0 +1,1786 @@ +------------------------------------------------------------------------ +-- dqFMA.decTest -- decQuad Fused Multiply Add -- +-- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. -- +------------------------------------------------------------------------ +-- Please see the document "General Decimal Arithmetic Testcases" -- +-- at http://www2.hursley.ibm.com/decimal for the description of -- +-- these testcases. -- +-- -- +-- These testcases are experimental ('beta' versions), and they -- +-- may contain errors. They are offered on an as-is basis. In -- +-- particular, achieving the same results as the tests here is not -- +-- a guarantee that an implementation complies with any Standard -- +-- or specification. The tests are not exhaustive. -- +-- -- +-- Please send comments, suggestions, and corrections to the author: -- +-- Mike Cowlishaw, IBM Fellow -- +-- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK -- +-- mfc@uk.ibm.com -- +------------------------------------------------------------------------ +version: 2.59 + +extended: 1 +clamp: 1 +precision: 34 +maxExponent: 6144 +minExponent: -6143 +rounding: half_even + +-- These tests comprese three parts: +-- 1. Sanity checks and other three-operand tests (especially those +-- where the fused operation makes a difference) +-- 2. Multiply tests (third operand is neutral zero [0E+emax]) +-- 3. Addition tests (first operand is 1) +-- The multiply and addition tests are extensive because FMA may have +-- its own dedicated multiplication or addition routine(s), and they +-- also inherently check the left-to-right properties. + +-- Sanity checks +dqfma0001 fma 1 1 1 -> 2 +dqfma0002 fma 1 1 2 -> 3 +dqfma0003 fma 2 2 3 -> 7 +dqfma0004 fma 9 9 9 -> 90 +dqfma0005 fma -1 1 1 -> 0 +dqfma0006 fma -1 1 2 -> 1 +dqfma0007 fma -2 2 3 -> -1 +dqfma0008 fma -9 9 9 -> -72 +dqfma0011 fma 1 -1 1 -> 0 +dqfma0012 fma 1 -1 2 -> 1 +dqfma0013 fma 2 -2 3 -> -1 +dqfma0014 fma 9 -9 9 -> -72 +dqfma0015 fma 1 1 -1 -> 0 +dqfma0016 fma 1 1 -2 -> -1 +dqfma0017 fma 2 2 -3 -> 1 +dqfma0018 fma 9 9 -9 -> 72 + +-- non-integer exacts +dqfma0100 fma 25.2 63.6 -438 -> 1164.72 +dqfma0101 fma 0.301 0.380 334 -> 334.114380 +dqfma0102 fma 49.2 -4.8 23.3 -> -212.86 +dqfma0103 fma 4.22 0.079 -94.6 -> -94.26662 +dqfma0104 fma 903 0.797 0.887 -> 720.578 +dqfma0105 fma 6.13 -161 65.9 -> -921.03 +dqfma0106 fma 28.2 727 5.45 -> 20506.85 +dqfma0107 fma 4 605 688 -> 3108 +dqfma0108 fma 93.3 0.19 0.226 -> 17.953 +dqfma0109 fma 0.169 -341 5.61 -> -52.019 +dqfma0110 fma -72.2 30 -51.2 -> -2217.2 +dqfma0111 fma -0.409 13 20.4 -> 15.083 +dqfma0112 fma 317 77.0 19.0 -> 24428.0 +dqfma0113 fma 47 6.58 1.62 -> 310.88 +dqfma0114 fma 1.36 0.984 0.493 -> 1.83124 +dqfma0115 fma 72.7 274 1.56 -> 19921.36 +dqfma0116 fma 335 847 83 -> 283828 +dqfma0117 fma 666 0.247 25.4 -> 189.902 +dqfma0118 fma -3.87 3.06 78.0 -> 66.1578 +dqfma0119 fma 0.742 192 35.6 -> 178.064 +dqfma0120 fma -91.6 5.29 0.153 -> -484.411 + +-- cases where result is different from separate multiply + add; each +-- is preceded by the result of unfused multiply and add +-- [this is about 20% of all similar cases in general] +-- -> 4.500119002100000209469729375698778E+38 +dqfma0202 fma 68537985861355864457.5694 6565875762972086605.85969 35892634447236753.172812 -> 4.500119002100000209469729375698779E+38 Inexact Rounded +-- -> 5.996248469584594346858881620185514E+41 +dqfma0208 fma 89261822344727628571.9 6717595845654131383336.89 5061036497288796076266.11 -> 5.996248469584594346858881620185513E+41 Inexact Rounded +-- -> 1.899242968678256924021594770874070E+34 +dqfma0210 fma 320506237232448685.495971 59257597764017967.984448 3205615239077711589912.85 -> 1.899242968678256924021594770874071E+34 Inexact Rounded +-- -> 7.078596978842809537929699954860309E+37 +dqfma0215 fma 220247843259112263.17995 321392340287987979002.80 47533279819997167655440 -> 7.078596978842809537929699954860308E+37 Inexact Rounded +-- -> 1.224955667581427559754106862350743E+37 +dqfma0226 fma 23880729790368880412.1449 512947333827064719.55407 217117438419590824502.963 -> 1.224955667581427559754106862350744E+37 Inexact Rounded +-- -> -2.530094043253148806272276368579144E+42 +dqfma0229 fma 2539892357016099706.4126 -996142232667504817717435 53682082598315949425.937 -> -2.530094043253148806272276368579143E+42 Inexact Rounded +-- -> 1.713387085759711954319391412788454E+37 +dqfma0233 fma 4546339491341624464.0804 3768717864169205581 83578980278690395184.620 -> 1.713387085759711954319391412788453E+37 Inexact Rounded +-- -> 4.062275663405823716411579117771547E+35 +dqfma0235 fma 409242119433816131.42253 992633815166741501.477249 70179636544416756129546 -> 4.062275663405823716411579117771548E+35 Inexact Rounded +-- -> 6.002604327732568490562249875306823E+47 +dqfma0258 fma 817941336593541742159684 733867339769310729266598 78563844650942419311830.8 -> 6.002604327732568490562249875306822E+47 Inexact Rounded +-- -> -2.027022514381452197510103395283874E+39 +dqfma0264 fma 387617310169161270.737532 -5229442703414956061216.62 57665666816652967150473.5 -> -2.027022514381452197510103395283873E+39 Inexact Rounded +-- -> -7.856525039803554001144089842730361E+37 +dqfma0267 fma -847655845720565274701.210 92685316564117739.83984 22780950041376424429.5686 -> -7.856525039803554001144089842730360E+37 Inexact Rounded +-- -> 1.695515562011520746125607502237559E+38 +dqfma0268 fma 21590290365127685.3675 7853139227576541379426.8 -3275859437236180.761544 -> 1.695515562011520746125607502237558E+38 Inexact Rounded +-- -> -8.448422935783289219748115038014710E+38 +dqfma0269 fma -974320636272862697.971586 867109103641860247440.756 -9775170775902454762.98 -> -8.448422935783289219748115038014709E+38 Inexact Rounded + +-- Cases where multiply would overflow or underflow if separate +dqfma0300 fma 9e+6144 10 0 -> Infinity Overflow Inexact Rounded +dqfma0301 fma 1e+6144 10 0 -> Infinity Overflow Inexact Rounded +dqfma0302 fma 1e+6144 10 -1e+6144 -> 9.000000000000000000000000000000000E+6144 Clamped +dqfma0303 fma 1e+6144 10 -9e+6144 -> 1.000000000000000000000000000000000E+6144 Clamped +-- subnormal etc. +dqfma0305 fma 1e-6176 0.1 0 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped +dqfma0306 fma 1e-6176 0.1 1 -> 1.000000000000000000000000000000000 Inexact Rounded +dqfma0307 fma 1e-6176 0.1 1e-6176 -> 1E-6176 Underflow Subnormal Inexact Rounded + +-- Infinite combinations +dqfma0800 fma Inf Inf Inf -> Infinity +dqfma0801 fma Inf Inf -Inf -> NaN Invalid_operation +dqfma0802 fma Inf -Inf Inf -> NaN Invalid_operation +dqfma0803 fma Inf -Inf -Inf -> -Infinity +dqfma0804 fma -Inf Inf Inf -> NaN Invalid_operation +dqfma0805 fma -Inf Inf -Inf -> -Infinity +dqfma0806 fma -Inf -Inf Inf -> Infinity +dqfma0807 fma -Inf -Inf -Inf -> NaN Invalid_operation + +-- Triple NaN propagation +dqfma0900 fma NaN2 NaN3 NaN5 -> NaN2 +dqfma0901 fma 0 NaN3 NaN5 -> NaN3 +dqfma0902 fma 0 0 NaN5 -> NaN5 +-- first sNaN wins (consider qNaN from earlier sNaN being +-- overridden by an sNaN in third operand) +dqfma0903 fma sNaN1 sNaN2 sNaN3 -> NaN1 Invalid_operation +dqfma0904 fma 0 sNaN2 sNaN3 -> NaN2 Invalid_operation +dqfma0905 fma 0 0 sNaN3 -> NaN3 Invalid_operation +dqfma0906 fma sNaN1 sNaN2 sNaN3 -> NaN1 Invalid_operation +dqfma0907 fma NaN7 sNaN2 sNaN3 -> NaN2 Invalid_operation +dqfma0908 fma NaN7 NaN5 sNaN3 -> NaN3 Invalid_operation + +-- MULTIPLICATION TESTS ------------------------------------------------ +rounding: half_even + +-- sanity checks +dqfma2000 fma 2 2 0e+6144 -> 4 +dqfma2001 fma 2 3 0e+6144 -> 6 +dqfma2002 fma 5 1 0e+6144 -> 5 +dqfma2003 fma 5 2 0e+6144 -> 10 +dqfma2004 fma 1.20 2 0e+6144 -> 2.40 +dqfma2005 fma 1.20 0 0e+6144 -> 0.00 +dqfma2006 fma 1.20 -2 0e+6144 -> -2.40 +dqfma2007 fma -1.20 2 0e+6144 -> -2.40 +dqfma2008 fma -1.20 0 0e+6144 -> 0.00 +dqfma2009 fma -1.20 -2 0e+6144 -> 2.40 +dqfma2010 fma 5.09 7.1 0e+6144 -> 36.139 +dqfma2011 fma 2.5 4 0e+6144 -> 10.0 +dqfma2012 fma 2.50 4 0e+6144 -> 10.00 +dqfma2013 fma 1.23456789 1.0000000000000000000000000000 0e+6144 -> 1.234567890000000000000000000000000 Rounded +dqfma2015 fma 2.50 4 0e+6144 -> 10.00 +dqfma2016 fma 9.99999999999999999 9.99999999999999999 0e+6144 -> 99.99999999999999980000000000000000 Inexact Rounded +dqfma2017 fma 9.99999999999999999 -9.99999999999999999 0e+6144 -> -99.99999999999999980000000000000000 Inexact Rounded +dqfma2018 fma -9.99999999999999999 9.99999999999999999 0e+6144 -> -99.99999999999999980000000000000000 Inexact Rounded +dqfma2019 fma -9.99999999999999999 -9.99999999999999999 0e+6144 -> 99.99999999999999980000000000000000 Inexact Rounded + +-- zeros, etc. +dqfma2021 fma 0 0 0e+6144 -> 0 +dqfma2022 fma 0 -0 0e+6144 -> 0 +dqfma2023 fma -0 0 0e+6144 -> 0 +dqfma2024 fma -0 -0 0e+6144 -> 0 +dqfma2025 fma -0.0 -0.0 0e+6144 -> 0.00 +dqfma2026 fma -0.0 -0.0 0e+6144 -> 0.00 +dqfma2027 fma -0.0 -0.0 0e+6144 -> 0.00 +dqfma2028 fma -0.0 -0.0 0e+6144 -> 0.00 +dqfma2030 fma 5.00 1E-3 0e+6144 -> 0.00500 +dqfma2031 fma 00.00 0.000 0e+6144 -> 0.00000 +dqfma2032 fma 00.00 0E-3 0e+6144 -> 0.00000 -- rhs is 0 +dqfma2033 fma 0E-3 00.00 0e+6144 -> 0.00000 -- lhs is 0 +dqfma2034 fma -5.00 1E-3 0e+6144 -> -0.00500 +dqfma2035 fma -00.00 0.000 0e+6144 -> 0.00000 +dqfma2036 fma -00.00 0E-3 0e+6144 -> 0.00000 -- rhs is 0 +dqfma2037 fma -0E-3 00.00 0e+6144 -> 0.00000 -- lhs is 0 +dqfma2038 fma 5.00 -1E-3 0e+6144 -> -0.00500 +dqfma2039 fma 00.00 -0.000 0e+6144 -> 0.00000 +dqfma2040 fma 00.00 -0E-3 0e+6144 -> 0.00000 -- rhs is 0 +dqfma2041 fma 0E-3 -00.00 0e+6144 -> 0.00000 -- lhs is 0 +dqfma2042 fma -5.00 -1E-3 0e+6144 -> 0.00500 +dqfma2043 fma -00.00 -0.000 0e+6144 -> 0.00000 +dqfma2044 fma -00.00 -0E-3 0e+6144 -> 0.00000 -- rhs is 0 +dqfma2045 fma -0E-3 -00.00 0e+6144 -> 0.00000 -- lhs is 0 + +-- examples from decarith +dqfma2050 fma 1.20 3 0e+6144 -> 3.60 +dqfma2051 fma 7 3 0e+6144 -> 21 +dqfma2052 fma 0.9 0.8 0e+6144 -> 0.72 +dqfma2053 fma 0.9 -0 0e+6144 -> 0.0 +dqfma2054 fma 654321 654321 0e+6144 -> 428135971041 + +dqfma2060 fma 123.45 1e7 0e+6144 -> 1.2345E+9 +dqfma2061 fma 123.45 1e8 0e+6144 -> 1.2345E+10 +dqfma2062 fma 123.45 1e+9 0e+6144 -> 1.2345E+11 +dqfma2063 fma 123.45 1e10 0e+6144 -> 1.2345E+12 +dqfma2064 fma 123.45 1e11 0e+6144 -> 1.2345E+13 +dqfma2065 fma 123.45 1e12 0e+6144 -> 1.2345E+14 +dqfma2066 fma 123.45 1e13 0e+6144 -> 1.2345E+15 + + +-- test some intermediate lengths +-- 1234567890123456 +dqfma2080 fma 0.1 1230123456456789 0e+6144 -> 123012345645678.9 +dqfma2084 fma 0.1 1230123456456789 0e+6144 -> 123012345645678.9 +dqfma2090 fma 1230123456456789 0.1 0e+6144 -> 123012345645678.9 +dqfma2094 fma 1230123456456789 0.1 0e+6144 -> 123012345645678.9 + +-- test some more edge cases and carries +dqfma2101 fma 9 9 0e+6144 -> 81 +dqfma2102 fma 9 90 0e+6144 -> 810 +dqfma2103 fma 9 900 0e+6144 -> 8100 +dqfma2104 fma 9 9000 0e+6144 -> 81000 +dqfma2105 fma 9 90000 0e+6144 -> 810000 +dqfma2106 fma 9 900000 0e+6144 -> 8100000 +dqfma2107 fma 9 9000000 0e+6144 -> 81000000 +dqfma2108 fma 9 90000000 0e+6144 -> 810000000 +dqfma2109 fma 9 900000000 0e+6144 -> 8100000000 +dqfma2110 fma 9 9000000000 0e+6144 -> 81000000000 +dqfma2111 fma 9 90000000000 0e+6144 -> 810000000000 +dqfma2112 fma 9 900000000000 0e+6144 -> 8100000000000 +dqfma2113 fma 9 9000000000000 0e+6144 -> 81000000000000 +dqfma2114 fma 9 90000000000000 0e+6144 -> 810000000000000 +dqfma2115 fma 9 900000000000000 0e+6144 -> 8100000000000000 +--dqfma2116 fma 9 9000000000000000 0e+6144 -> 81000000000000000 +--dqfma2117 fma 9 90000000000000000 0e+6144 -> 810000000000000000 +--dqfma2118 fma 9 900000000000000000 0e+6144 -> 8100000000000000000 +--dqfma2119 fma 9 9000000000000000000 0e+6144 -> 81000000000000000000 +--dqfma2120 fma 9 90000000000000000000 0e+6144 -> 810000000000000000000 +--dqfma2121 fma 9 900000000000000000000 0e+6144 -> 8100000000000000000000 +--dqfma2122 fma 9 9000000000000000000000 0e+6144 -> 81000000000000000000000 +--dqfma2123 fma 9 90000000000000000000000 0e+6144 -> 810000000000000000000000 +-- test some more edge cases without carries +dqfma2131 fma 3 3 0e+6144 -> 9 +dqfma2132 fma 3 30 0e+6144 -> 90 +dqfma2133 fma 3 300 0e+6144 -> 900 +dqfma2134 fma 3 3000 0e+6144 -> 9000 +dqfma2135 fma 3 30000 0e+6144 -> 90000 +dqfma2136 fma 3 300000 0e+6144 -> 900000 +dqfma2137 fma 3 3000000 0e+6144 -> 9000000 +dqfma2138 fma 3 30000000 0e+6144 -> 90000000 +dqfma2139 fma 3 300000000 0e+6144 -> 900000000 +dqfma2140 fma 3 3000000000 0e+6144 -> 9000000000 +dqfma2141 fma 3 30000000000 0e+6144 -> 90000000000 +dqfma2142 fma 3 300000000000 0e+6144 -> 900000000000 +dqfma2143 fma 3 3000000000000 0e+6144 -> 9000000000000 +dqfma2144 fma 3 30000000000000 0e+6144 -> 90000000000000 +dqfma2145 fma 3 300000000000000 0e+6144 -> 900000000000000 +dqfma2146 fma 3 3000000000000000 0e+6144 -> 9000000000000000 +dqfma2147 fma 3 30000000000000000 0e+6144 -> 90000000000000000 +dqfma2148 fma 3 300000000000000000 0e+6144 -> 900000000000000000 +dqfma2149 fma 3 3000000000000000000 0e+6144 -> 9000000000000000000 +dqfma2150 fma 3 30000000000000000000 0e+6144 -> 90000000000000000000 +dqfma2151 fma 3 300000000000000000000 0e+6144 -> 900000000000000000000 +dqfma2152 fma 3 3000000000000000000000 0e+6144 -> 9000000000000000000000 +dqfma2153 fma 3 30000000000000000000000 0e+6144 -> 90000000000000000000000 + +dqfma2263 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0e+6144 -> 145433.2908011933696719165119928296 Inexact Rounded + +-- test some edge cases with exact rounding +dqfma2301 fma 900000000000000000 9 0e+6144 -> 8100000000000000000 +dqfma2302 fma 900000000000000000 90 0e+6144 -> 81000000000000000000 +dqfma2303 fma 900000000000000000 900 0e+6144 -> 810000000000000000000 +dqfma2304 fma 900000000000000000 9000 0e+6144 -> 8100000000000000000000 +dqfma2305 fma 900000000000000000 90000 0e+6144 -> 81000000000000000000000 +dqfma2306 fma 900000000000000000 900000 0e+6144 -> 810000000000000000000000 +dqfma2307 fma 900000000000000000 9000000 0e+6144 -> 8100000000000000000000000 +dqfma2308 fma 900000000000000000 90000000 0e+6144 -> 81000000000000000000000000 +dqfma2309 fma 900000000000000000 900000000 0e+6144 -> 810000000000000000000000000 +dqfma2310 fma 900000000000000000 9000000000 0e+6144 -> 8100000000000000000000000000 +dqfma2311 fma 900000000000000000 90000000000 0e+6144 -> 81000000000000000000000000000 +dqfma2312 fma 900000000000000000 900000000000 0e+6144 -> 810000000000000000000000000000 +dqfma2313 fma 900000000000000000 9000000000000 0e+6144 -> 8100000000000000000000000000000 +dqfma2314 fma 900000000000000000 90000000000000 0e+6144 -> 81000000000000000000000000000000 +dqfma2315 fma 900000000000000000 900000000000000 0e+6144 -> 810000000000000000000000000000000 +dqfma2316 fma 900000000000000000 9000000000000000 0e+6144 -> 8100000000000000000000000000000000 +dqfma2317 fma 9000000000000000000 9000000000000000 0e+6144 -> 8.100000000000000000000000000000000E+34 Rounded +dqfma2318 fma 90000000000000000000 9000000000000000 0e+6144 -> 8.100000000000000000000000000000000E+35 Rounded +dqfma2319 fma 900000000000000000000 9000000000000000 0e+6144 -> 8.100000000000000000000000000000000E+36 Rounded +dqfma2320 fma 9000000000000000000000 9000000000000000 0e+6144 -> 8.100000000000000000000000000000000E+37 Rounded +dqfma2321 fma 90000000000000000000000 9000000000000000 0e+6144 -> 8.100000000000000000000000000000000E+38 Rounded +dqfma2322 fma 900000000000000000000000 9000000000000000 0e+6144 -> 8.100000000000000000000000000000000E+39 Rounded +dqfma2323 fma 9000000000000000000000000 9000000000000000 0e+6144 -> 8.100000000000000000000000000000000E+40 Rounded + +-- tryzeros cases +dqfma2504 fma 0E-4260 1000E-4260 0e+6144 -> 0E-6176 Clamped +dqfma2505 fma 100E+4260 0E+4260 0e+6144 -> 0E+6111 Clamped + +-- mixed with zeros +dqfma2541 fma 0 -1 0e+6144 -> 0 +dqfma2542 fma -0 -1 0e+6144 -> 0 +dqfma2543 fma 0 1 0e+6144 -> 0 +dqfma2544 fma -0 1 0e+6144 -> 0 +dqfma2545 fma -1 0 0e+6144 -> 0 +dqfma2546 fma -1 -0 0e+6144 -> 0 +dqfma2547 fma 1 0 0e+6144 -> 0 +dqfma2548 fma 1 -0 0e+6144 -> 0 + +dqfma2551 fma 0.0 -1 0e+6144 -> 0.0 +dqfma2552 fma -0.0 -1 0e+6144 -> 0.0 +dqfma2553 fma 0.0 1 0e+6144 -> 0.0 +dqfma2554 fma -0.0 1 0e+6144 -> 0.0 +dqfma2555 fma -1.0 0 0e+6144 -> 0.0 +dqfma2556 fma -1.0 -0 0e+6144 -> 0.0 +dqfma2557 fma 1.0 0 0e+6144 -> 0.0 +dqfma2558 fma 1.0 -0 0e+6144 -> 0.0 + +dqfma2561 fma 0 -1.0 0e+6144 -> 0.0 +dqfma2562 fma -0 -1.0 0e+6144 -> 0.0 +dqfma2563 fma 0 1.0 0e+6144 -> 0.0 +dqfma2564 fma -0 1.0 0e+6144 -> 0.0 +dqfma2565 fma -1 0.0 0e+6144 -> 0.0 +dqfma2566 fma -1 -0.0 0e+6144 -> 0.0 +dqfma2567 fma 1 0.0 0e+6144 -> 0.0 +dqfma2568 fma 1 -0.0 0e+6144 -> 0.0 + +dqfma2571 fma 0.0 -1.0 0e+6144 -> 0.00 +dqfma2572 fma -0.0 -1.0 0e+6144 -> 0.00 +dqfma2573 fma 0.0 1.0 0e+6144 -> 0.00 +dqfma2574 fma -0.0 1.0 0e+6144 -> 0.00 +dqfma2575 fma -1.0 0.0 0e+6144 -> 0.00 +dqfma2576 fma -1.0 -0.0 0e+6144 -> 0.00 +dqfma2577 fma 1.0 0.0 0e+6144 -> 0.00 +dqfma2578 fma 1.0 -0.0 0e+6144 -> 0.00 +dqfma2579 fma 1.0 0.0 0e+6144 -> 0.00 +dqfma2530 fma -1.0 -0.0 0e+6144 -> 0.00 +dqfma2531 fma -1.0 0.0 0e+6144 -> 0.00 +dqfma2532 fma 1.0 -0.0 -0e+6144 -> -0.00 +dqfma2533 fma 1.0 0.0 -0e+6144 -> 0.00 +dqfma2534 fma -1.0 -0.0 -0e+6144 -> 0.00 +dqfma2535 fma -1.0 0.0 -0e+6144 -> -0.00 + + +-- Specials +dqfma2580 fma Inf -Inf 0e+6144 -> -Infinity +dqfma2581 fma Inf -1000 0e+6144 -> -Infinity +dqfma2582 fma Inf -1 0e+6144 -> -Infinity +dqfma2583 fma Inf -0 0e+6144 -> NaN Invalid_operation +dqfma2584 fma Inf 0 0e+6144 -> NaN Invalid_operation +dqfma2585 fma Inf 1 0e+6144 -> Infinity +dqfma2586 fma Inf 1000 0e+6144 -> Infinity +dqfma2587 fma Inf Inf 0e+6144 -> Infinity +dqfma2588 fma -1000 Inf 0e+6144 -> -Infinity +dqfma2589 fma -Inf Inf 0e+6144 -> -Infinity +dqfma2590 fma -1 Inf 0e+6144 -> -Infinity +dqfma2591 fma -0 Inf 0e+6144 -> NaN Invalid_operation +dqfma2592 fma 0 Inf 0e+6144 -> NaN Invalid_operation +dqfma2593 fma 1 Inf 0e+6144 -> Infinity +dqfma2594 fma 1000 Inf 0e+6144 -> Infinity +dqfma2595 fma Inf Inf 0e+6144 -> Infinity + +dqfma2600 fma -Inf -Inf 0e+6144 -> Infinity +dqfma2601 fma -Inf -1000 0e+6144 -> Infinity +dqfma2602 fma -Inf -1 0e+6144 -> Infinity +dqfma2603 fma -Inf -0 0e+6144 -> NaN Invalid_operation +dqfma2604 fma -Inf 0 0e+6144 -> NaN Invalid_operation +dqfma2605 fma -Inf 1 0e+6144 -> -Infinity +dqfma2606 fma -Inf 1000 0e+6144 -> -Infinity +dqfma2607 fma -Inf Inf 0e+6144 -> -Infinity +dqfma2608 fma -1000 Inf 0e+6144 -> -Infinity +dqfma2609 fma -Inf -Inf 0e+6144 -> Infinity +dqfma2610 fma -1 -Inf 0e+6144 -> Infinity +dqfma2611 fma -0 -Inf 0e+6144 -> NaN Invalid_operation +dqfma2612 fma 0 -Inf 0e+6144 -> NaN Invalid_operation +dqfma2613 fma 1 -Inf 0e+6144 -> -Infinity +dqfma2614 fma 1000 -Inf 0e+6144 -> -Infinity +dqfma2615 fma Inf -Inf 0e+6144 -> -Infinity + +dqfma2621 fma NaN -Inf 0e+6144 -> NaN +dqfma2622 fma NaN -1000 0e+6144 -> NaN +dqfma2623 fma NaN -1 0e+6144 -> NaN +dqfma2624 fma NaN -0 0e+6144 -> NaN +dqfma2625 fma NaN 0 0e+6144 -> NaN +dqfma2626 fma NaN 1 0e+6144 -> NaN +dqfma2627 fma NaN 1000 0e+6144 -> NaN +dqfma2628 fma NaN Inf 0e+6144 -> NaN +dqfma2629 fma NaN NaN 0e+6144 -> NaN +dqfma2630 fma -Inf NaN 0e+6144 -> NaN +dqfma2631 fma -1000 NaN 0e+6144 -> NaN +dqfma2632 fma -1 NaN 0e+6144 -> NaN +dqfma2633 fma -0 NaN 0e+6144 -> NaN +dqfma2634 fma 0 NaN 0e+6144 -> NaN +dqfma2635 fma 1 NaN 0e+6144 -> NaN +dqfma2636 fma 1000 NaN 0e+6144 -> NaN +dqfma2637 fma Inf NaN 0e+6144 -> NaN + +dqfma2641 fma sNaN -Inf 0e+6144 -> NaN Invalid_operation +dqfma2642 fma sNaN -1000 0e+6144 -> NaN Invalid_operation +dqfma2643 fma sNaN -1 0e+6144 -> NaN Invalid_operation +dqfma2644 fma sNaN -0 0e+6144 -> NaN Invalid_operation +dqfma2645 fma sNaN 0 0e+6144 -> NaN Invalid_operation +dqfma2646 fma sNaN 1 0e+6144 -> NaN Invalid_operation +dqfma2647 fma sNaN 1000 0e+6144 -> NaN Invalid_operation +dqfma2648 fma sNaN NaN 0e+6144 -> NaN Invalid_operation +dqfma2649 fma sNaN sNaN 0e+6144 -> NaN Invalid_operation +dqfma2650 fma NaN sNaN 0e+6144 -> NaN Invalid_operation +dqfma2651 fma -Inf sNaN 0e+6144 -> NaN Invalid_operation +dqfma2652 fma -1000 sNaN 0e+6144 -> NaN Invalid_operation +dqfma2653 fma -1 sNaN 0e+6144 -> NaN Invalid_operation +dqfma2654 fma -0 sNaN 0e+6144 -> NaN Invalid_operation +dqfma2655 fma 0 sNaN 0e+6144 -> NaN Invalid_operation +dqfma2656 fma 1 sNaN 0e+6144 -> NaN Invalid_operation +dqfma2657 fma 1000 sNaN 0e+6144 -> NaN Invalid_operation +dqfma2658 fma Inf sNaN 0e+6144 -> NaN Invalid_operation +dqfma2659 fma NaN sNaN 0e+6144 -> NaN Invalid_operation + +-- propagating NaNs +dqfma2661 fma NaN9 -Inf 0e+6144 -> NaN9 +dqfma2662 fma NaN8 999 0e+6144 -> NaN8 +dqfma2663 fma NaN71 Inf 0e+6144 -> NaN71 +dqfma2664 fma NaN6 NaN5 0e+6144 -> NaN6 +dqfma2665 fma -Inf NaN4 0e+6144 -> NaN4 +dqfma2666 fma -999 NaN33 0e+6144 -> NaN33 +dqfma2667 fma Inf NaN2 0e+6144 -> NaN2 + +dqfma2671 fma sNaN99 -Inf 0e+6144 -> NaN99 Invalid_operation +dqfma2672 fma sNaN98 -11 0e+6144 -> NaN98 Invalid_operation +dqfma2673 fma sNaN97 NaN 0e+6144 -> NaN97 Invalid_operation +dqfma2674 fma sNaN16 sNaN94 0e+6144 -> NaN16 Invalid_operation +dqfma2675 fma NaN95 sNaN93 0e+6144 -> NaN93 Invalid_operation +dqfma2676 fma -Inf sNaN92 0e+6144 -> NaN92 Invalid_operation +dqfma2677 fma 088 sNaN91 0e+6144 -> NaN91 Invalid_operation +dqfma2678 fma Inf sNaN90 0e+6144 -> NaN90 Invalid_operation +dqfma2679 fma NaN sNaN89 0e+6144 -> NaN89 Invalid_operation + +dqfma2681 fma -NaN9 -Inf 0e+6144 -> -NaN9 +dqfma2682 fma -NaN8 999 0e+6144 -> -NaN8 +dqfma2683 fma -NaN71 Inf 0e+6144 -> -NaN71 +dqfma2684 fma -NaN6 -NaN5 0e+6144 -> -NaN6 +dqfma2685 fma -Inf -NaN4 0e+6144 -> -NaN4 +dqfma2686 fma -999 -NaN33 0e+6144 -> -NaN33 +dqfma2687 fma Inf -NaN2 0e+6144 -> -NaN2 + +dqfma2691 fma -sNaN99 -Inf 0e+6144 -> -NaN99 Invalid_operation +dqfma2692 fma -sNaN98 -11 0e+6144 -> -NaN98 Invalid_operation +dqfma2693 fma -sNaN97 NaN 0e+6144 -> -NaN97 Invalid_operation +dqfma2694 fma -sNaN16 -sNaN94 0e+6144 -> -NaN16 Invalid_operation +dqfma2695 fma -NaN95 -sNaN93 0e+6144 -> -NaN93 Invalid_operation +dqfma2696 fma -Inf -sNaN92 0e+6144 -> -NaN92 Invalid_operation +dqfma2697 fma 088 -sNaN91 0e+6144 -> -NaN91 Invalid_operation +dqfma2698 fma Inf -sNaN90 0e+6144 -> -NaN90 Invalid_operation +dqfma2699 fma -NaN -sNaN89 0e+6144 -> -NaN89 Invalid_operation + +dqfma2701 fma -NaN -Inf 0e+6144 -> -NaN +dqfma2702 fma -NaN 999 0e+6144 -> -NaN +dqfma2703 fma -NaN Inf 0e+6144 -> -NaN +dqfma2704 fma -NaN -NaN 0e+6144 -> -NaN +dqfma2705 fma -Inf -NaN0 0e+6144 -> -NaN +dqfma2706 fma -999 -NaN 0e+6144 -> -NaN +dqfma2707 fma Inf -NaN 0e+6144 -> -NaN + +dqfma2711 fma -sNaN -Inf 0e+6144 -> -NaN Invalid_operation +dqfma2712 fma -sNaN -11 0e+6144 -> -NaN Invalid_operation +dqfma2713 fma -sNaN00 NaN 0e+6144 -> -NaN Invalid_operation +dqfma2714 fma -sNaN -sNaN 0e+6144 -> -NaN Invalid_operation +dqfma2715 fma -NaN -sNaN 0e+6144 -> -NaN Invalid_operation +dqfma2716 fma -Inf -sNaN 0e+6144 -> -NaN Invalid_operation +dqfma2717 fma 088 -sNaN 0e+6144 -> -NaN Invalid_operation +dqfma2718 fma Inf -sNaN 0e+6144 -> -NaN Invalid_operation +dqfma2719 fma -NaN -sNaN 0e+6144 -> -NaN Invalid_operation + +-- overflow and underflow tests .. note subnormal results +-- signs +dqfma2751 fma 1e+4277 1e+3311 0e+6144 -> Infinity Overflow Inexact Rounded +dqfma2752 fma 1e+4277 -1e+3311 0e+6144 -> -Infinity Overflow Inexact Rounded +dqfma2753 fma -1e+4277 1e+3311 0e+6144 -> -Infinity Overflow Inexact Rounded +dqfma2754 fma -1e+4277 -1e+3311 0e+6144 -> Infinity Overflow Inexact Rounded +dqfma2755 fma 1e-4277 1e-3311 0e+6144 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped +dqfma2756 fma 1e-4277 -1e-3311 0e+6144 -> -0E-6176 Underflow Subnormal Inexact Rounded Clamped +dqfma2757 fma -1e-4277 1e-3311 0e+6144 -> -0E-6176 Underflow Subnormal Inexact Rounded Clamped +dqfma2758 fma -1e-4277 -1e-3311 0e+6144 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped + +-- 'subnormal' boundary (all hard underflow or overflow in base arithemtic) +dqfma2760 fma 1e-6069 1e-101 0e+6144 -> 1E-6170 Subnormal +dqfma2761 fma 1e-6069 1e-102 0e+6144 -> 1E-6171 Subnormal +dqfma2762 fma 1e-6069 1e-103 0e+6144 -> 1E-6172 Subnormal +dqfma2763 fma 1e-6069 1e-104 0e+6144 -> 1E-6173 Subnormal +dqfma2764 fma 1e-6069 1e-105 0e+6144 -> 1E-6174 Subnormal +dqfma2765 fma 1e-6069 1e-106 0e+6144 -> 1E-6175 Subnormal +dqfma2766 fma 1e-6069 1e-107 0e+6144 -> 1E-6176 Subnormal +dqfma2767 fma 1e-6069 1e-108 0e+6144 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped +dqfma2768 fma 1e-6069 1e-109 0e+6144 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped +dqfma2769 fma 1e-6069 1e-110 0e+6144 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped +-- [no equivalent of 'subnormal' for overflow] +dqfma2770 fma 1e+40 1e+6101 0e+6144 -> 1.000000000000000000000000000000E+6141 Clamped +dqfma2771 fma 1e+40 1e+6102 0e+6144 -> 1.0000000000000000000000000000000E+6142 Clamped +dqfma2772 fma 1e+40 1e+6103 0e+6144 -> 1.00000000000000000000000000000000E+6143 Clamped +dqfma2773 fma 1e+40 1e+6104 0e+6144 -> 1.000000000000000000000000000000000E+6144 Clamped +dqfma2774 fma 1e+40 1e+6105 0e+6144 -> Infinity Overflow Inexact Rounded +dqfma2775 fma 1e+40 1e+6106 0e+6144 -> Infinity Overflow Inexact Rounded +dqfma2776 fma 1e+40 1e+6107 0e+6144 -> Infinity Overflow Inexact Rounded +dqfma2777 fma 1e+40 1e+6108 0e+6144 -> Infinity Overflow Inexact Rounded +dqfma2778 fma 1e+40 1e+6109 0e+6144 -> Infinity Overflow Inexact Rounded +dqfma2779 fma 1e+40 1e+6110 0e+6144 -> Infinity Overflow Inexact Rounded + +dqfma2801 fma 1.0000E-6172 1 0e+6144 -> 1.0000E-6172 Subnormal +dqfma2802 fma 1.000E-6172 1e-1 0e+6144 -> 1.000E-6173 Subnormal +dqfma2803 fma 1.00E-6172 1e-2 0e+6144 -> 1.00E-6174 Subnormal +dqfma2804 fma 1.0E-6172 1e-3 0e+6144 -> 1.0E-6175 Subnormal +dqfma2805 fma 1.0E-6172 1e-4 0e+6144 -> 1E-6176 Subnormal Rounded +dqfma2806 fma 1.3E-6172 1e-4 0e+6144 -> 1E-6176 Underflow Subnormal Inexact Rounded +dqfma2807 fma 1.5E-6172 1e-4 0e+6144 -> 2E-6176 Underflow Subnormal Inexact Rounded +dqfma2808 fma 1.7E-6172 1e-4 0e+6144 -> 2E-6176 Underflow Subnormal Inexact Rounded +dqfma2809 fma 2.3E-6172 1e-4 0e+6144 -> 2E-6176 Underflow Subnormal Inexact Rounded +dqfma2810 fma 2.5E-6172 1e-4 0e+6144 -> 2E-6176 Underflow Subnormal Inexact Rounded +dqfma2811 fma 2.7E-6172 1e-4 0e+6144 -> 3E-6176 Underflow Subnormal Inexact Rounded +dqfma2812 fma 1.49E-6172 1e-4 0e+6144 -> 1E-6176 Underflow Subnormal Inexact Rounded +dqfma2813 fma 1.50E-6172 1e-4 0e+6144 -> 2E-6176 Underflow Subnormal Inexact Rounded +dqfma2814 fma 1.51E-6172 1e-4 0e+6144 -> 2E-6176 Underflow Subnormal Inexact Rounded +dqfma2815 fma 2.49E-6172 1e-4 0e+6144 -> 2E-6176 Underflow Subnormal Inexact Rounded +dqfma2816 fma 2.50E-6172 1e-4 0e+6144 -> 2E-6176 Underflow Subnormal Inexact Rounded +dqfma2817 fma 2.51E-6172 1e-4 0e+6144 -> 3E-6176 Underflow Subnormal Inexact Rounded + +dqfma2818 fma 1E-6172 1e-4 0e+6144 -> 1E-6176 Subnormal +dqfma2819 fma 3E-6172 1e-5 0e+6144 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped +dqfma2820 fma 5E-6172 1e-5 0e+6144 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped +dqfma2821 fma 7E-6172 1e-5 0e+6144 -> 1E-6176 Underflow Subnormal Inexact Rounded +dqfma2822 fma 9E-6172 1e-5 0e+6144 -> 1E-6176 Underflow Subnormal Inexact Rounded +dqfma2823 fma 9.9E-6172 1e-5 0e+6144 -> 1E-6176 Underflow Subnormal Inexact Rounded + +dqfma2824 fma 1E-6172 -1e-4 0e+6144 -> -1E-6176 Subnormal +dqfma2825 fma 3E-6172 -1e-5 0e+6144 -> -0E-6176 Underflow Subnormal Inexact Rounded Clamped +dqfma2826 fma -5E-6172 1e-5 0e+6144 -> -0E-6176 Underflow Subnormal Inexact Rounded Clamped +dqfma2827 fma 7E-6172 -1e-5 0e+6144 -> -1E-6176 Underflow Subnormal Inexact Rounded +dqfma2828 fma -9E-6172 1e-5 0e+6144 -> -1E-6176 Underflow Subnormal Inexact Rounded +dqfma2829 fma 9.9E-6172 -1e-5 0e+6144 -> -1E-6176 Underflow Subnormal Inexact Rounded +dqfma2830 fma 3.0E-6172 -1e-5 0e+6144 -> -0E-6176 Underflow Subnormal Inexact Rounded Clamped + +dqfma2831 fma 1.0E-5977 1e-200 0e+6144 -> 0E-6176 Underflow Subnormal Inexact Rounded Clamped +dqfma2832 fma 1.0E-5977 1e-199 0e+6144 -> 1E-6176 Subnormal Rounded +dqfma2833 fma 1.0E-5977 1e-198 0e+6144 -> 1.0E-6175 Subnormal +dqfma2834 fma 2.0E-5977 2e-198 0e+6144 -> 4.0E-6175 Subnormal +dqfma2835 fma 4.0E-5977 4e-198 0e+6144 -> 1.60E-6174 Subnormal +dqfma2836 fma 10.0E-5977 10e-198 0e+6144 -> 1.000E-6173 Subnormal +dqfma2837 fma 30.0E-5977 30e-198 0e+6144 -> 9.000E-6173 Subnormal +dqfma2838 fma 40.0E-5982 40e-166 0e+6144 -> 1.6000E-6145 Subnormal +dqfma2839 fma 40.0E-5982 40e-165 0e+6144 -> 1.6000E-6144 Subnormal +dqfma2840 fma 40.0E-5982 40e-164 0e+6144 -> 1.6000E-6143 + +-- Long operand overflow may be a different path +dqfma2870 fma 100 9.999E+6143 0e+6144 -> Infinity Inexact Overflow Rounded +dqfma2871 fma 100 -9.999E+6143 0e+6144 -> -Infinity Inexact Overflow Rounded +dqfma2872 fma 9.999E+6143 100 0e+6144 -> Infinity Inexact Overflow Rounded +dqfma2873 fma -9.999E+6143 100 0e+6144 -> -Infinity Inexact Overflow Rounded + +-- check for double-rounded subnormals +dqfma2881 fma 1.2347E-6133 1.2347E-40 0e+6144 -> 1.524E-6173 Inexact Rounded Subnormal Underflow +dqfma2882 fma 1.234E-6133 1.234E-40 0e+6144 -> 1.523E-6173 Inexact Rounded Subnormal Underflow +dqfma2883 fma 1.23E-6133 1.23E-40 0e+6144 -> 1.513E-6173 Inexact Rounded Subnormal Underflow +dqfma2884 fma 1.2E-6133 1.2E-40 0e+6144 -> 1.44E-6173 Subnormal +dqfma2885 fma 1.2E-6133 1.2E-41 0e+6144 -> 1.44E-6174 Subnormal +dqfma2886 fma 1.2E-6133 1.2E-42 0e+6144 -> 1.4E-6175 Subnormal Inexact Rounded Underflow +dqfma2887 fma 1.2E-6133 1.3E-42 0e+6144 -> 1.6E-6175 Subnormal Inexact Rounded Underflow +dqfma2888 fma 1.3E-6133 1.3E-42 0e+6144 -> 1.7E-6175 Subnormal Inexact Rounded Underflow +dqfma2889 fma 1.3E-6133 1.3E-43 0e+6144 -> 2E-6176 Subnormal Inexact Rounded Underflow +dqfma2890 fma 1.3E-6134 1.3E-43 0e+6144 -> 0E-6176 Clamped Subnormal Inexact Rounded Underflow + +dqfma2891 fma 1.2345E-39 1.234E-6133 0e+6144 -> 1.5234E-6172 Inexact Rounded Subnormal Underflow +dqfma2892 fma 1.23456E-39 1.234E-6133 0e+6144 -> 1.5234E-6172 Inexact Rounded Subnormal Underflow +dqfma2893 fma 1.2345E-40 1.234E-6133 0e+6144 -> 1.523E-6173 Inexact Rounded Subnormal Underflow +dqfma2894 fma 1.23456E-40 1.234E-6133 0e+6144 -> 1.523E-6173 Inexact Rounded Subnormal Underflow +dqfma2895 fma 1.2345E-41 1.234E-6133 0e+6144 -> 1.52E-6174 Inexact Rounded Subnormal Underflow +dqfma2896 fma 1.23456E-41 1.234E-6133 0e+6144 -> 1.52E-6174 Inexact Rounded Subnormal Underflow + +-- Now explore the case where we get a normal result with Underflow +-- prove operands are exact +dqfma2906 fma 9.999999999999999999999999999999999E-6143 1 0e+6144 -> 9.999999999999999999999999999999999E-6143 +dqfma2907 fma 1 0.09999999999999999999999999999999999 0e+6144 -> 0.09999999999999999999999999999999999 +-- the next rounds to Nmin +dqfma2908 fma 9.999999999999999999999999999999999E-6143 0.09999999999999999999999999999999999 0e+6144 -> 1.000000000000000000000000000000000E-6143 Underflow Inexact Subnormal Rounded + +-- hugest +dqfma2909 fma 9999999999999999999999999999999999 9999999999999999999999999999999999 0e+6144 -> 9.999999999999999999999999999999998E+67 Inexact Rounded + +-- Examples from SQL proposal (Krishna Kulkarni) +precision: 34 +rounding: half_up +maxExponent: 6144 +minExponent: -6143 +dqfma21001 fma 130E-2 120E-2 0e+6144 -> 1.5600 +dqfma21002 fma 130E-2 12E-1 0e+6144 -> 1.560 +dqfma21003 fma 130E-2 1E0 0e+6144 -> 1.30 +dqfma21004 fma 1E2 1E4 0e+6144 -> 1E+6 + +-- Null tests +dqfma2990 fma 10 # 0e+6144 -> NaN Invalid_operation +dqfma2991 fma # 10 0e+6144 -> NaN Invalid_operation + + +-- ADDITION TESTS ------------------------------------------------------ +rounding: half_even + +-- [first group are 'quick confidence check'] +dqadd3001 fma 1 1 1 -> 2 +dqadd3002 fma 1 2 3 -> 5 +dqadd3003 fma 1 '5.75' '3.3' -> 9.05 +dqadd3004 fma 1 '5' '-3' -> 2 +dqadd3005 fma 1 '-5' '-3' -> -8 +dqadd3006 fma 1 '-7' '2.5' -> -4.5 +dqadd3007 fma 1 '0.7' '0.3' -> 1.0 +dqadd3008 fma 1 '1.25' '1.25' -> 2.50 +dqadd3009 fma 1 '1.23456789' '1.00000000' -> '2.23456789' +dqadd3010 fma 1 '1.23456789' '1.00000011' -> '2.23456800' + +-- 1234567890123456 1234567890123456 +dqadd3011 fma 1 '0.4444444444444444444444444444444446' '0.5555555555555555555555555555555555' -> '1.000000000000000000000000000000000' Inexact Rounded +dqadd3012 fma 1 '0.4444444444444444444444444444444445' '0.5555555555555555555555555555555555' -> '1.000000000000000000000000000000000' Rounded +dqadd3013 fma 1 '0.4444444444444444444444444444444444' '0.5555555555555555555555555555555555' -> '0.9999999999999999999999999999999999' +dqadd3014 fma 1 '4444444444444444444444444444444444' '0.49' -> '4444444444444444444444444444444444' Inexact Rounded +dqadd3015 fma 1 '4444444444444444444444444444444444' '0.499' -> '4444444444444444444444444444444444' Inexact Rounded +dqadd3016 fma 1 '4444444444444444444444444444444444' '0.4999' -> '4444444444444444444444444444444444' Inexact Rounded +dqadd3017 fma 1 '4444444444444444444444444444444444' '0.5000' -> '4444444444444444444444444444444444' Inexact Rounded +dqadd3018 fma 1 '4444444444444444444444444444444444' '0.5001' -> '4444444444444444444444444444444445' Inexact Rounded +dqadd3019 fma 1 '4444444444444444444444444444444444' '0.501' -> '4444444444444444444444444444444445' Inexact Rounded +dqadd3020 fma 1 '4444444444444444444444444444444444' '0.51' -> '4444444444444444444444444444444445' Inexact Rounded + +dqadd3021 fma 1 0 1 -> 1 +dqadd3022 fma 1 1 1 -> 2 +dqadd3023 fma 1 2 1 -> 3 +dqadd3024 fma 1 3 1 -> 4 +dqadd3025 fma 1 4 1 -> 5 +dqadd3026 fma 1 5 1 -> 6 +dqadd3027 fma 1 6 1 -> 7 +dqadd3028 fma 1 7 1 -> 8 +dqadd3029 fma 1 8 1 -> 9 +dqadd3030 fma 1 9 1 -> 10 + +-- some carrying effects +dqadd3031 fma 1 '0.9998' '0.0000' -> '0.9998' +dqadd3032 fma 1 '0.9998' '0.0001' -> '0.9999' +dqadd3033 fma 1 '0.9998' '0.0002' -> '1.0000' +dqadd3034 fma 1 '0.9998' '0.0003' -> '1.0001' + +dqadd3035 fma 1 '70' '10000e+34' -> '1.000000000000000000000000000000000E+38' Inexact Rounded +dqadd3036 fma 1 '700' '10000e+34' -> '1.000000000000000000000000000000000E+38' Inexact Rounded +dqadd3037 fma 1 '7000' '10000e+34' -> '1.000000000000000000000000000000000E+38' Inexact Rounded +dqadd3038 fma 1 '70000' '10000e+34' -> '1.000000000000000000000000000000001E+38' Inexact Rounded +dqadd3039 fma 1 '700000' '10000e+34' -> '1.000000000000000000000000000000007E+38' Rounded + +-- symmetry: +dqadd3040 fma 1 '10000e+34' '70' -> '1.000000000000000000000000000000000E+38' Inexact Rounded +dqadd3041 fma 1 '10000e+34' '700' -> '1.000000000000000000000000000000000E+38' Inexact Rounded +dqadd3042 fma 1 '10000e+34' '7000' -> '1.000000000000000000000000000000000E+38' Inexact Rounded +dqadd3044 fma 1 '10000e+34' '70000' -> '1.000000000000000000000000000000001E+38' Inexact Rounded +dqadd3045 fma 1 '10000e+34' '700000' -> '1.000000000000000000000000000000007E+38' Rounded + +-- same, without rounding +dqadd3046 fma 1 '10000e+9' '7' -> '10000000000007' +dqadd3047 fma 1 '10000e+9' '70' -> '10000000000070' +dqadd3048 fma 1 '10000e+9' '700' -> '10000000000700' +dqadd3049 fma 1 '10000e+9' '7000' -> '10000000007000' +dqadd3050 fma 1 '10000e+9' '70000' -> '10000000070000' +dqadd3051 fma 1 '10000e+9' '700000' -> '10000000700000' +dqadd3052 fma 1 '10000e+9' '7000000' -> '10000007000000' + +-- examples from decarith +dqadd3053 fma 1 '12' '7.00' -> '19.00' +dqadd3054 fma 1 '1.3' '-1.07' -> '0.23' +dqadd3055 fma 1 '1.3' '-1.30' -> '0.00' +dqadd3056 fma 1 '1.3' '-2.07' -> '-0.77' +dqadd3057 fma 1 '1E+2' '1E+4' -> '1.01E+4' + +-- leading zero preservation +dqadd3061 fma 1 1 '0.0001' -> '1.0001' +dqadd3062 fma 1 1 '0.00001' -> '1.00001' +dqadd3063 fma 1 1 '0.000001' -> '1.000001' +dqadd3064 fma 1 1 '0.0000001' -> '1.0000001' +dqadd3065 fma 1 1 '0.00000001' -> '1.00000001' + +-- some funny zeros [in case of bad signum] +dqadd3070 fma 1 1 0 -> 1 +dqadd3071 fma 1 1 0. -> 1 +dqadd3072 fma 1 1 .0 -> 1.0 +dqadd3073 fma 1 1 0.0 -> 1.0 +dqadd3074 fma 1 1 0.00 -> 1.00 +dqadd3075 fma 1 0 1 -> 1 +dqadd3076 fma 1 0. 1 -> 1 +dqadd3077 fma 1 .0 1 -> 1.0 +dqadd3078 fma 1 0.0 1 -> 1.0 +dqadd3079 fma 1 0.00 1 -> 1.00 + +-- some carries +dqadd3080 fma 1 999999998 1 -> 999999999 +dqadd3081 fma 1 999999999 1 -> 1000000000 +dqadd3082 fma 1 99999999 1 -> 100000000 +dqadd3083 fma 1 9999999 1 -> 10000000 +dqadd3084 fma 1 999999 1 -> 1000000 +dqadd3085 fma 1 99999 1 -> 100000 +dqadd3086 fma 1 9999 1 -> 10000 +dqadd3087 fma 1 999 1 -> 1000 +dqadd3088 fma 1 99 1 -> 100 +dqadd3089 fma 1 9 1 -> 10 + + +-- more LHS swaps +dqadd3090 fma 1 '-56267E-10' 0 -> '-0.0000056267' +dqadd3091 fma 1 '-56267E-6' 0 -> '-0.056267' +dqadd3092 fma 1 '-56267E-5' 0 -> '-0.56267' +dqadd3093 fma 1 '-56267E-4' 0 -> '-5.6267' +dqadd3094 fma 1 '-56267E-3' 0 -> '-56.267' +dqadd3095 fma 1 '-56267E-2' 0 -> '-562.67' +dqadd3096 fma 1 '-56267E-1' 0 -> '-5626.7' +dqadd3097 fma 1 '-56267E-0' 0 -> '-56267' +dqadd3098 fma 1 '-5E-10' 0 -> '-5E-10' +dqadd3099 fma 1 '-5E-7' 0 -> '-5E-7' +dqadd3100 fma 1 '-5E-6' 0 -> '-0.000005' +dqadd3101 fma 1 '-5E-5' 0 -> '-0.00005' +dqadd3102 fma 1 '-5E-4' 0 -> '-0.0005' +dqadd3103 fma 1 '-5E-1' 0 -> '-0.5' +dqadd3104 fma 1 '-5E0' 0 -> '-5' +dqadd3105 fma 1 '-5E1' 0 -> '-50' +dqadd3106 fma 1 '-5E5' 0 -> '-500000' +dqadd3107 fma 1 '-5E33' 0 -> '-5000000000000000000000000000000000' +dqadd3108 fma 1 '-5E34' 0 -> '-5.000000000000000000000000000000000E+34' Rounded +dqadd3109 fma 1 '-5E35' 0 -> '-5.000000000000000000000000000000000E+35' Rounded +dqadd3110 fma 1 '-5E36' 0 -> '-5.000000000000000000000000000000000E+36' Rounded +dqadd3111 fma 1 '-5E100' 0 -> '-5.000000000000000000000000000000000E+100' Rounded + +-- more RHS swaps +dqadd3113 fma 1 0 '-56267E-10' -> '-0.0000056267' +dqadd3114 fma 1 0 '-56267E-6' -> '-0.056267' +dqadd3116 fma 1 0 '-56267E-5' -> '-0.56267' +dqadd3117 fma 1 0 '-56267E-4' -> '-5.6267' +dqadd3119 fma 1 0 '-56267E-3' -> '-56.267' +dqadd3120 fma 1 0 '-56267E-2' -> '-562.67' +dqadd3121 fma 1 0 '-56267E-1' -> '-5626.7' +dqadd3122 fma 1 0 '-56267E-0' -> '-56267' +dqadd3123 fma 1 0 '-5E-10' -> '-5E-10' +dqadd3124 fma 1 0 '-5E-7' -> '-5E-7' +dqadd3125 fma 1 0 '-5E-6' -> '-0.000005' +dqadd3126 fma 1 0 '-5E-5' -> '-0.00005' +dqadd3127 fma 1 0 '-5E-4' -> '-0.0005' +dqadd3128 fma 1 0 '-5E-1' -> '-0.5' +dqadd3129 fma 1 0 '-5E0' -> '-5' +dqadd3130 fma 1 0 '-5E1' -> '-50' +dqadd3131 fma 1 0 '-5E5' -> '-500000' +dqadd3132 fma 1 0 '-5E33' -> '-5000000000000000000000000000000000' +dqadd3133 fma 1 0 '-5E34' -> '-5.000000000000000000000000000000000E+34' Rounded +dqadd3134 fma 1 0 '-5E35' -> '-5.000000000000000000000000000000000E+35' Rounded +dqadd3135 fma 1 0 '-5E36' -> '-5.000000000000000000000000000000000E+36' Rounded +dqadd3136 fma 1 0 '-5E100' -> '-5.000000000000000000000000000000000E+100' Rounded + +-- related +dqadd3137 fma 1 1 '0E-39' -> '1.000000000000000000000000000000000' Rounded +dqadd3138 fma 1 -1 '0E-39' -> '-1.000000000000000000000000000000000' Rounded +dqadd3139 fma 1 '0E-39' 1 -> '1.000000000000000000000000000000000' Rounded +dqadd3140 fma 1 '0E-39' -1 -> '-1.000000000000000000000000000000000' Rounded +dqadd3141 fma 1 1E+29 0.0000 -> '100000000000000000000000000000.0000' +dqadd3142 fma 1 1E+29 0.00000 -> '100000000000000000000000000000.0000' Rounded +dqadd3143 fma 1 0.000 1E+30 -> '1000000000000000000000000000000.000' +dqadd3144 fma 1 0.0000 1E+30 -> '1000000000000000000000000000000.000' Rounded + +-- [some of the next group are really constructor tests] +dqadd3146 fma 1 '00.0' 0 -> '0.0' +dqadd3147 fma 1 '0.00' 0 -> '0.00' +dqadd3148 fma 1 0 '0.00' -> '0.00' +dqadd3149 fma 1 0 '00.0' -> '0.0' +dqadd3150 fma 1 '00.0' '0.00' -> '0.00' +dqadd3151 fma 1 '0.00' '00.0' -> '0.00' +dqadd3152 fma 1 '3' '.3' -> '3.3' +dqadd3153 fma 1 '3.' '.3' -> '3.3' +dqadd3154 fma 1 '3.0' '.3' -> '3.3' +dqadd3155 fma 1 '3.00' '.3' -> '3.30' +dqadd3156 fma 1 '3' '3' -> '6' +dqadd3157 fma 1 '3' '+3' -> '6' +dqadd3158 fma 1 '3' '-3' -> '0' +dqadd3159 fma 1 '0.3' '-0.3' -> '0.0' +dqadd3160 fma 1 '0.03' '-0.03' -> '0.00' + +-- try borderline precision, with carries, etc. +dqadd3161 fma 1 '1E+12' '-1' -> '999999999999' +dqadd3162 fma 1 '1E+12' '1.11' -> '1000000000001.11' +dqadd3163 fma 1 '1.11' '1E+12' -> '1000000000001.11' +dqadd3164 fma 1 '-1' '1E+12' -> '999999999999' +dqadd3165 fma 1 '7E+12' '-1' -> '6999999999999' +dqadd3166 fma 1 '7E+12' '1.11' -> '7000000000001.11' +dqadd3167 fma 1 '1.11' '7E+12' -> '7000000000001.11' +dqadd3168 fma 1 '-1' '7E+12' -> '6999999999999' + +rounding: half_up +dqadd3170 fma 1 '4.444444444444444444444444444444444' '0.5555555555555555555555555555555567' -> '5.000000000000000000000000000000001' Inexact Rounded +dqadd3171 fma 1 '4.444444444444444444444444444444444' '0.5555555555555555555555555555555566' -> '5.000000000000000000000000000000001' Inexact Rounded +dqadd3172 fma 1 '4.444444444444444444444444444444444' '0.5555555555555555555555555555555565' -> '5.000000000000000000000000000000001' Inexact Rounded +dqadd3173 fma 1 '4.444444444444444444444444444444444' '0.5555555555555555555555555555555564' -> '5.000000000000000000000000000000000' Inexact Rounded +dqadd3174 fma 1 '4.444444444444444444444444444444444' '0.5555555555555555555555555555555553' -> '4.999999999999999999999999999999999' Inexact Rounded +dqadd3175 fma 1 '4.444444444444444444444444444444444' '0.5555555555555555555555555555555552' -> '4.999999999999999999999999999999999' Inexact Rounded +dqadd3176 fma 1 '4.444444444444444444444444444444444' '0.5555555555555555555555555555555551' -> '4.999999999999999999999999999999999' Inexact Rounded +dqadd3177 fma 1 '4.444444444444444444444444444444444' '0.5555555555555555555555555555555550' -> '4.999999999999999999999999999999999' Rounded +dqadd3178 fma 1 '4.444444444444444444444444444444444' '0.5555555555555555555555555555555545' -> '4.999999999999999999999999999999999' Inexact Rounded +dqadd3179 fma 1 '4.444444444444444444444444444444444' '0.5555555555555555555555555555555544' -> '4.999999999999999999999999999999998' Inexact Rounded +dqadd3180 fma 1 '4.444444444444444444444444444444444' '0.5555555555555555555555555555555543' -> '4.999999999999999999999999999999998' Inexact Rounded +dqadd3181 fma 1 '4.444444444444444444444444444444444' '0.5555555555555555555555555555555542' -> '4.999999999999999999999999999999998' Inexact Rounded +dqadd3182 fma 1 '4.444444444444444444444444444444444' '0.5555555555555555555555555555555541' -> '4.999999999999999999999999999999998' Inexact Rounded +dqadd3183 fma 1 '4.444444444444444444444444444444444' '0.5555555555555555555555555555555540' -> '4.999999999999999999999999999999998' Rounded + +-- and some more, including residue effects and different roundings +rounding: half_up +dqadd3200 fma 1 '1231234567890123456784560123456789' 0 -> '1231234567890123456784560123456789' +dqadd3201 fma 1 '1231234567890123456784560123456789' 0.000000001 -> '1231234567890123456784560123456789' Inexact Rounded +dqadd3202 fma 1 '1231234567890123456784560123456789' 0.000001 -> '1231234567890123456784560123456789' Inexact Rounded +dqadd3203 fma 1 '1231234567890123456784560123456789' 0.1 -> '1231234567890123456784560123456789' Inexact Rounded +dqadd3204 fma 1 '1231234567890123456784560123456789' 0.4 -> '1231234567890123456784560123456789' Inexact Rounded +dqadd3205 fma 1 '1231234567890123456784560123456789' 0.49 -> '1231234567890123456784560123456789' Inexact Rounded +dqadd3206 fma 1 '1231234567890123456784560123456789' 0.499999 -> '1231234567890123456784560123456789' Inexact Rounded +dqadd3207 fma 1 '1231234567890123456784560123456789' 0.499999999 -> '1231234567890123456784560123456789' Inexact Rounded +dqadd3208 fma 1 '1231234567890123456784560123456789' 0.5 -> '1231234567890123456784560123456790' Inexact Rounded +dqadd3209 fma 1 '1231234567890123456784560123456789' 0.500000001 -> '1231234567890123456784560123456790' Inexact Rounded +dqadd3210 fma 1 '1231234567890123456784560123456789' 0.500001 -> '1231234567890123456784560123456790' Inexact Rounded +dqadd3211 fma 1 '1231234567890123456784560123456789' 0.51 -> '1231234567890123456784560123456790' Inexact Rounded +dqadd3212 fma 1 '1231234567890123456784560123456789' 0.6 -> '1231234567890123456784560123456790' Inexact Rounded +dqadd3213 fma 1 '1231234567890123456784560123456789' 0.9 -> '1231234567890123456784560123456790' Inexact Rounded +dqadd3214 fma 1 '1231234567890123456784560123456789' 0.99999 -> '1231234567890123456784560123456790' Inexact Rounded +dqadd3215 fma 1 '1231234567890123456784560123456789' 0.999999999 -> '1231234567890123456784560123456790' Inexact Rounded +dqadd3216 fma 1 '1231234567890123456784560123456789' 1 -> '1231234567890123456784560123456790' +dqadd3217 fma 1 '1231234567890123456784560123456789' 1.000000001 -> '1231234567890123456784560123456790' Inexact Rounded +dqadd3218 fma 1 '1231234567890123456784560123456789' 1.00001 -> '1231234567890123456784560123456790' Inexact Rounded +dqadd3219 fma 1 '1231234567890123456784560123456789' 1.1 -> '1231234567890123456784560123456790' Inexact Rounded + +rounding: half_even +dqadd3220 fma 1 '1231234567890123456784560123456789' 0 -> '1231234567890123456784560123456789' +dqadd3221 fma 1 '1231234567890123456784560123456789' 0.000000001 -> '1231234567890123456784560123456789' Inexact Rounded +dqadd3222 fma 1 '1231234567890123456784560123456789' 0.000001 -> '1231234567890123456784560123456789' Inexact Rounded +dqadd3223 fma 1 '1231234567890123456784560123456789' 0.1 -> '1231234567890123456784560123456789' Inexact Rounded +dqadd3224 fma 1 '1231234567890123456784560123456789' 0.4 -> '1231234567890123456784560123456789' Inexact Rounded +dqadd3225 fma 1 '1231234567890123456784560123456789' 0.49 -> '1231234567890123456784560123456789' Inexact Rounded +dqadd3226 fma 1 '1231234567890123456784560123456789' 0.499999 -> '1231234567890123456784560123456789' Inexact Rounded +dqadd3227 fma 1 '1231234567890123456784560123456789' 0.499999999 -> '1231234567890123456784560123456789' Inexact Rounded +dqadd3228 fma 1 '1231234567890123456784560123456789' 0.5 -> '1231234567890123456784560123456790' Inexact Rounded +dqadd3229 fma 1 '1231234567890123456784560123456789' 0.500000001 -> '1231234567890123456784560123456790' Inexact Rounded +dqadd3230 fma 1 '1231234567890123456784560123456789' 0.500001 -> '1231234567890123456784560123456790' Inexact Rounded +dqadd3231 fma 1 '1231234567890123456784560123456789' 0.51 -> '1231234567890123456784560123456790' Inexact Rounded +dqadd3232 fma 1 '1231234567890123456784560123456789' 0.6 -> '1231234567890123456784560123456790' Inexact Rounded +dqadd3233 fma 1 '1231234567890123456784560123456789' 0.9 -> '1231234567890123456784560123456790' Inexact Rounded +dqadd3234 fma 1 '1231234567890123456784560123456789' 0.99999 -> '1231234567890123456784560123456790' Inexact Rounded +dqadd3235 fma 1 '1231234567890123456784560123456789' 0.999999999 -> '1231234567890123456784560123456790' Inexact Rounded +dqadd3236 fma 1 '1231234567890123456784560123456789' 1 -> '1231234567890123456784560123456790' +dqadd3237 fma 1 '1231234567890123456784560123456789' 1.00000001 -> '1231234567890123456784560123456790' Inexact Rounded +dqadd3238 fma 1 '1231234567890123456784560123456789' 1.00001 -> '1231234567890123456784560123456790' Inexact Rounded +dqadd3239 fma 1 '1231234567890123456784560123456789' 1.1 -> '1231234567890123456784560123456790' Inexact Rounded +-- critical few with even bottom digit... +dqadd3240 fma 1 '1231234567890123456784560123456788' 0.499999999 -> '1231234567890123456784560123456788' Inexact Rounded +dqadd3241 fma 1 '1231234567890123456784560123456788' 0.5 -> '1231234567890123456784560123456788' Inexact Rounded +dqadd3242 fma 1 '1231234567890123456784560123456788' 0.500000001 -> '1231234567890123456784560123456789' Inexact Rounded + +rounding: down +dqadd3250 fma 1 '1231234567890123456784560123456789' 0 -> '1231234567890123456784560123456789' +dqadd3251 fma 1 '1231234567890123456784560123456789' 0.000000001 -> '1231234567890123456784560123456789' Inexact Rounded +dqadd3252 fma 1 '1231234567890123456784560123456789' 0.000001 -> '1231234567890123456784560123456789' Inexact Rounded +dqadd3253 fma 1 '1231234567890123456784560123456789' 0.1 -> '1231234567890123456784560123456789' Inexact Rounded +dqadd3254 fma 1 '1231234567890123456784560123456789' 0.4 -> '1231234567890123456784560123456789' Inexact Rounded +dqadd3255 fma 1 '1231234567890123456784560123456789' 0.49 -> '1231234567890123456784560123456789' Inexact Rounded +dqadd3256 fma 1 '1231234567890123456784560123456789' 0.499999 -> '1231234567890123456784560123456789' Inexact Rounded +dqadd3257 fma 1 '1231234567890123456784560123456789' 0.499999999 -> '1231234567890123456784560123456789' Inexact Rounded +dqadd3258 fma 1 '1231234567890123456784560123456789' 0.5 -> '1231234567890123456784560123456789' Inexact Rounded +dqadd3259 fma 1 '1231234567890123456784560123456789' 0.500000001 -> '1231234567890123456784560123456789' Inexact Rounded +dqadd3260 fma 1 '1231234567890123456784560123456789' 0.500001 -> '1231234567890123456784560123456789' Inexact Rounded +dqadd3261 fma 1 '1231234567890123456784560123456789' 0.51 -> '1231234567890123456784560123456789' Inexact Rounded +dqadd3262 fma 1 '1231234567890123456784560123456789' 0.6 -> '1231234567890123456784560123456789' Inexact Rounded +dqadd3263 fma 1 '1231234567890123456784560123456789' 0.9 -> '1231234567890123456784560123456789' Inexact Rounded +dqadd3264 fma 1 '1231234567890123456784560123456789' 0.99999 -> '1231234567890123456784560123456789' Inexact Rounded +dqadd3265 fma 1 '1231234567890123456784560123456789' 0.999999999 -> '1231234567890123456784560123456789' Inexact Rounded +dqadd3266 fma 1 '1231234567890123456784560123456789' 1 -> '1231234567890123456784560123456790' +dqadd3267 fma 1 '1231234567890123456784560123456789' 1.00000001 -> '1231234567890123456784560123456790' Inexact Rounded +dqadd3268 fma 1 '1231234567890123456784560123456789' 1.00001 -> '1231234567890123456784560123456790' Inexact Rounded +dqadd3269 fma 1 '1231234567890123456784560123456789' 1.1 -> '1231234567890123456784560123456790' Inexact Rounded + +-- 1 in last place tests +rounding: half_up +dqadd3301 fma 1 -1 1 -> 0 +dqadd3302 fma 1 0 1 -> 1 +dqadd3303 fma 1 1 1 -> 2 +dqadd3304 fma 1 12 1 -> 13 +dqadd3305 fma 1 98 1 -> 99 +dqadd3306 fma 1 99 1 -> 100 +dqadd3307 fma 1 100 1 -> 101 +dqadd3308 fma 1 101 1 -> 102 +dqadd3309 fma 1 -1 -1 -> -2 +dqadd3310 fma 1 0 -1 -> -1 +dqadd3311 fma 1 1 -1 -> 0 +dqadd3312 fma 1 12 -1 -> 11 +dqadd3313 fma 1 98 -1 -> 97 +dqadd3314 fma 1 99 -1 -> 98 +dqadd3315 fma 1 100 -1 -> 99 +dqadd3316 fma 1 101 -1 -> 100 + +dqadd3321 fma 1 -0.01 0.01 -> 0.00 +dqadd3322 fma 1 0.00 0.01 -> 0.01 +dqadd3323 fma 1 0.01 0.01 -> 0.02 +dqadd3324 fma 1 0.12 0.01 -> 0.13 +dqadd3325 fma 1 0.98 0.01 -> 0.99 +dqadd3326 fma 1 0.99 0.01 -> 1.00 +dqadd3327 fma 1 1.00 0.01 -> 1.01 +dqadd3328 fma 1 1.01 0.01 -> 1.02 +dqadd3329 fma 1 -0.01 -0.01 -> -0.02 +dqadd3330 fma 1 0.00 -0.01 -> -0.01 +dqadd3331 fma 1 0.01 -0.01 -> 0.00 +dqadd3332 fma 1 0.12 -0.01 -> 0.11 +dqadd3333 fma 1 0.98 -0.01 -> 0.97 +dqadd3334 fma 1 0.99 -0.01 -> 0.98 +dqadd3335 fma 1 1.00 -0.01 -> 0.99 +dqadd3336 fma 1 1.01 -0.01 -> 1.00 + +-- some more cases where adding 0 affects the coefficient +dqadd3340 fma 1 1E+3 0 -> 1000 +dqadd3341 fma 1 1E+33 0 -> 1000000000000000000000000000000000 +dqadd3342 fma 1 1E+34 0 -> 1.000000000000000000000000000000000E+34 Rounded +dqadd3343 fma 1 1E+35 0 -> 1.000000000000000000000000000000000E+35 Rounded +-- which simply follow from these cases ... +dqadd3344 fma 1 1E+3 1 -> 1001 +dqadd3345 fma 1 1E+33 1 -> 1000000000000000000000000000000001 +dqadd3346 fma 1 1E+34 1 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd3347 fma 1 1E+35 1 -> 1.000000000000000000000000000000000E+35 Inexact Rounded +dqadd3348 fma 1 1E+3 7 -> 1007 +dqadd3349 fma 1 1E+33 7 -> 1000000000000000000000000000000007 +dqadd3350 fma 1 1E+34 7 -> 1.000000000000000000000000000000001E+34 Inexact Rounded +dqadd3351 fma 1 1E+35 7 -> 1.000000000000000000000000000000000E+35 Inexact Rounded + +-- tryzeros cases +rounding: half_up +dqadd3360 fma 1 0E+50 10000E+1 -> 1.0000E+5 +dqadd3361 fma 1 0E-50 10000E+1 -> 100000.0000000000000000000000000000 Rounded +dqadd3362 fma 1 10000E+1 0E-50 -> 100000.0000000000000000000000000000 Rounded +dqadd3363 fma 1 10000E+1 10000E-50 -> 100000.0000000000000000000000000000 Rounded Inexact +dqadd3364 fma 1 9.999999999999999999999999999999999E+6144 -9.999999999999999999999999999999999E+6144 -> 0E+6111 +-- 1 234567890123456789012345678901234 + +-- a curiosity from JSR 13 testing +rounding: half_down +dqadd3370 fma 1 999999999999999999999999999999999 815 -> 1000000000000000000000000000000814 +dqadd3371 fma 1 9999999999999999999999999999999999 815 -> 1.000000000000000000000000000000081E+34 Rounded Inexact +rounding: half_up +dqadd3372 fma 1 999999999999999999999999999999999 815 -> 1000000000000000000000000000000814 +dqadd3373 fma 1 9999999999999999999999999999999999 815 -> 1.000000000000000000000000000000081E+34 Rounded Inexact +rounding: half_even +dqadd3374 fma 1 999999999999999999999999999999999 815 -> 1000000000000000000000000000000814 +dqadd3375 fma 1 9999999999999999999999999999999999 815 -> 1.000000000000000000000000000000081E+34 Rounded Inexact + +-- ulp replacement tests +dqadd3400 fma 1 1 77e-32 -> 1.00000000000000000000000000000077 +dqadd3401 fma 1 1 77e-33 -> 1.000000000000000000000000000000077 +dqadd3402 fma 1 1 77e-34 -> 1.000000000000000000000000000000008 Inexact Rounded +dqadd3403 fma 1 1 77e-35 -> 1.000000000000000000000000000000001 Inexact Rounded +dqadd3404 fma 1 1 77e-36 -> 1.000000000000000000000000000000000 Inexact Rounded +dqadd3405 fma 1 1 77e-37 -> 1.000000000000000000000000000000000 Inexact Rounded +dqadd3406 fma 1 1 77e-299 -> 1.000000000000000000000000000000000 Inexact Rounded + +dqadd3410 fma 1 10 77e-32 -> 10.00000000000000000000000000000077 +dqadd3411 fma 1 10 77e-33 -> 10.00000000000000000000000000000008 Inexact Rounded +dqadd3412 fma 1 10 77e-34 -> 10.00000000000000000000000000000001 Inexact Rounded +dqadd3413 fma 1 10 77e-35 -> 10.00000000000000000000000000000000 Inexact Rounded +dqadd3414 fma 1 10 77e-36 -> 10.00000000000000000000000000000000 Inexact Rounded +dqadd3415 fma 1 10 77e-37 -> 10.00000000000000000000000000000000 Inexact Rounded +dqadd3416 fma 1 10 77e-299 -> 10.00000000000000000000000000000000 Inexact Rounded + +dqadd3420 fma 1 77e-32 1 -> 1.00000000000000000000000000000077 +dqadd3421 fma 1 77e-33 1 -> 1.000000000000000000000000000000077 +dqadd3422 fma 1 77e-34 1 -> 1.000000000000000000000000000000008 Inexact Rounded +dqadd3423 fma 1 77e-35 1 -> 1.000000000000000000000000000000001 Inexact Rounded +dqadd3424 fma 1 77e-36 1 -> 1.000000000000000000000000000000000 Inexact Rounded +dqadd3425 fma 1 77e-37 1 -> 1.000000000000000000000000000000000 Inexact Rounded +dqadd3426 fma 1 77e-299 1 -> 1.000000000000000000000000000000000 Inexact Rounded + +dqadd3430 fma 1 77e-32 10 -> 10.00000000000000000000000000000077 +dqadd3431 fma 1 77e-33 10 -> 10.00000000000000000000000000000008 Inexact Rounded +dqadd3432 fma 1 77e-34 10 -> 10.00000000000000000000000000000001 Inexact Rounded +dqadd3433 fma 1 77e-35 10 -> 10.00000000000000000000000000000000 Inexact Rounded +dqadd3434 fma 1 77e-36 10 -> 10.00000000000000000000000000000000 Inexact Rounded +dqadd3435 fma 1 77e-37 10 -> 10.00000000000000000000000000000000 Inexact Rounded +dqadd3436 fma 1 77e-299 10 -> 10.00000000000000000000000000000000 Inexact Rounded + +-- negative ulps +dqadd36440 fma 1 1 -77e-32 -> 0.99999999999999999999999999999923 +dqadd36441 fma 1 1 -77e-33 -> 0.999999999999999999999999999999923 +dqadd36442 fma 1 1 -77e-34 -> 0.9999999999999999999999999999999923 +dqadd36443 fma 1 1 -77e-35 -> 0.9999999999999999999999999999999992 Inexact Rounded +dqadd36444 fma 1 1 -77e-36 -> 0.9999999999999999999999999999999999 Inexact Rounded +dqadd36445 fma 1 1 -77e-37 -> 1.000000000000000000000000000000000 Inexact Rounded +dqadd36446 fma 1 1 -77e-99 -> 1.000000000000000000000000000000000 Inexact Rounded + +dqadd36450 fma 1 10 -77e-32 -> 9.99999999999999999999999999999923 +dqadd36451 fma 1 10 -77e-33 -> 9.999999999999999999999999999999923 +dqadd36452 fma 1 10 -77e-34 -> 9.999999999999999999999999999999992 Inexact Rounded +dqadd36453 fma 1 10 -77e-35 -> 9.999999999999999999999999999999999 Inexact Rounded +dqadd36454 fma 1 10 -77e-36 -> 10.00000000000000000000000000000000 Inexact Rounded +dqadd36455 fma 1 10 -77e-37 -> 10.00000000000000000000000000000000 Inexact Rounded +dqadd36456 fma 1 10 -77e-99 -> 10.00000000000000000000000000000000 Inexact Rounded + +dqadd36460 fma 1 -77e-32 1 -> 0.99999999999999999999999999999923 +dqadd36461 fma 1 -77e-33 1 -> 0.999999999999999999999999999999923 +dqadd36462 fma 1 -77e-34 1 -> 0.9999999999999999999999999999999923 +dqadd36463 fma 1 -77e-35 1 -> 0.9999999999999999999999999999999992 Inexact Rounded +dqadd36464 fma 1 -77e-36 1 -> 0.9999999999999999999999999999999999 Inexact Rounded +dqadd36465 fma 1 -77e-37 1 -> 1.000000000000000000000000000000000 Inexact Rounded +dqadd36466 fma 1 -77e-99 1 -> 1.000000000000000000000000000000000 Inexact Rounded + +dqadd36470 fma 1 -77e-32 10 -> 9.99999999999999999999999999999923 +dqadd36471 fma 1 -77e-33 10 -> 9.999999999999999999999999999999923 +dqadd36472 fma 1 -77e-34 10 -> 9.999999999999999999999999999999992 Inexact Rounded +dqadd36473 fma 1 -77e-35 10 -> 9.999999999999999999999999999999999 Inexact Rounded +dqadd36474 fma 1 -77e-36 10 -> 10.00000000000000000000000000000000 Inexact Rounded +dqadd36475 fma 1 -77e-37 10 -> 10.00000000000000000000000000000000 Inexact Rounded +dqadd36476 fma 1 -77e-99 10 -> 10.00000000000000000000000000000000 Inexact Rounded + +-- negative ulps +dqadd36480 fma 1 -1 77e-32 -> -0.99999999999999999999999999999923 +dqadd36481 fma 1 -1 77e-33 -> -0.999999999999999999999999999999923 +dqadd36482 fma 1 -1 77e-34 -> -0.9999999999999999999999999999999923 +dqadd36483 fma 1 -1 77e-35 -> -0.9999999999999999999999999999999992 Inexact Rounded +dqadd36484 fma 1 -1 77e-36 -> -0.9999999999999999999999999999999999 Inexact Rounded +dqadd36485 fma 1 -1 77e-37 -> -1.000000000000000000000000000000000 Inexact Rounded +dqadd36486 fma 1 -1 77e-99 -> -1.000000000000000000000000000000000 Inexact Rounded + +dqadd36490 fma 1 -10 77e-32 -> -9.99999999999999999999999999999923 +dqadd36491 fma 1 -10 77e-33 -> -9.999999999999999999999999999999923 +dqadd36492 fma 1 -10 77e-34 -> -9.999999999999999999999999999999992 Inexact Rounded +dqadd36493 fma 1 -10 77e-35 -> -9.999999999999999999999999999999999 Inexact Rounded +dqadd36494 fma 1 -10 77e-36 -> -10.00000000000000000000000000000000 Inexact Rounded +dqadd36495 fma 1 -10 77e-37 -> -10.00000000000000000000000000000000 Inexact Rounded +dqadd36496 fma 1 -10 77e-99 -> -10.00000000000000000000000000000000 Inexact Rounded + +dqadd36500 fma 1 77e-32 -1 -> -0.99999999999999999999999999999923 +dqadd36501 fma 1 77e-33 -1 -> -0.999999999999999999999999999999923 +dqadd36502 fma 1 77e-34 -1 -> -0.9999999999999999999999999999999923 +dqadd36503 fma 1 77e-35 -1 -> -0.9999999999999999999999999999999992 Inexact Rounded +dqadd36504 fma 1 77e-36 -1 -> -0.9999999999999999999999999999999999 Inexact Rounded +dqadd36505 fma 1 77e-37 -1 -> -1.000000000000000000000000000000000 Inexact Rounded +dqadd36506 fma 1 77e-99 -1 -> -1.000000000000000000000000000000000 Inexact Rounded + +dqadd36510 fma 1 77e-32 -10 -> -9.99999999999999999999999999999923 +dqadd36511 fma 1 77e-33 -10 -> -9.999999999999999999999999999999923 +dqadd36512 fma 1 77e-34 -10 -> -9.999999999999999999999999999999992 Inexact Rounded +dqadd36513 fma 1 77e-35 -10 -> -9.999999999999999999999999999999999 Inexact Rounded +dqadd36514 fma 1 77e-36 -10 -> -10.00000000000000000000000000000000 Inexact Rounded +dqadd36515 fma 1 77e-37 -10 -> -10.00000000000000000000000000000000 Inexact Rounded +dqadd36516 fma 1 77e-99 -10 -> -10.00000000000000000000000000000000 Inexact Rounded + +-- and some more residue effects and different roundings +rounding: half_up +dqadd36540 fma 1 '9876543219876543216543210123456789' 0 -> '9876543219876543216543210123456789' +dqadd36541 fma 1 '9876543219876543216543210123456789' 0.000000001 -> '9876543219876543216543210123456789' Inexact Rounded +dqadd36542 fma 1 '9876543219876543216543210123456789' 0.000001 -> '9876543219876543216543210123456789' Inexact Rounded +dqadd36543 fma 1 '9876543219876543216543210123456789' 0.1 -> '9876543219876543216543210123456789' Inexact Rounded +dqadd36544 fma 1 '9876543219876543216543210123456789' 0.4 -> '9876543219876543216543210123456789' Inexact Rounded +dqadd36545 fma 1 '9876543219876543216543210123456789' 0.49 -> '9876543219876543216543210123456789' Inexact Rounded +dqadd36546 fma 1 '9876543219876543216543210123456789' 0.499999 -> '9876543219876543216543210123456789' Inexact Rounded +dqadd36547 fma 1 '9876543219876543216543210123456789' 0.499999999 -> '9876543219876543216543210123456789' Inexact Rounded +dqadd36548 fma 1 '9876543219876543216543210123456789' 0.5 -> '9876543219876543216543210123456790' Inexact Rounded +dqadd36549 fma 1 '9876543219876543216543210123456789' 0.500000001 -> '9876543219876543216543210123456790' Inexact Rounded +dqadd36550 fma 1 '9876543219876543216543210123456789' 0.500001 -> '9876543219876543216543210123456790' Inexact Rounded +dqadd36551 fma 1 '9876543219876543216543210123456789' 0.51 -> '9876543219876543216543210123456790' Inexact Rounded +dqadd36552 fma 1 '9876543219876543216543210123456789' 0.6 -> '9876543219876543216543210123456790' Inexact Rounded +dqadd36553 fma 1 '9876543219876543216543210123456789' 0.9 -> '9876543219876543216543210123456790' Inexact Rounded +dqadd36554 fma 1 '9876543219876543216543210123456789' 0.99999 -> '9876543219876543216543210123456790' Inexact Rounded +dqadd36555 fma 1 '9876543219876543216543210123456789' 0.999999999 -> '9876543219876543216543210123456790' Inexact Rounded +dqadd36556 fma 1 '9876543219876543216543210123456789' 1 -> '9876543219876543216543210123456790' +dqadd36557 fma 1 '9876543219876543216543210123456789' 1.000000001 -> '9876543219876543216543210123456790' Inexact Rounded +dqadd36558 fma 1 '9876543219876543216543210123456789' 1.00001 -> '9876543219876543216543210123456790' Inexact Rounded +dqadd36559 fma 1 '9876543219876543216543210123456789' 1.1 -> '9876543219876543216543210123456790' Inexact Rounded + +rounding: half_even +dqadd36560 fma 1 '9876543219876543216543210123456789' 0 -> '9876543219876543216543210123456789' +dqadd36561 fma 1 '9876543219876543216543210123456789' 0.000000001 -> '9876543219876543216543210123456789' Inexact Rounded +dqadd36562 fma 1 '9876543219876543216543210123456789' 0.000001 -> '9876543219876543216543210123456789' Inexact Rounded +dqadd36563 fma 1 '9876543219876543216543210123456789' 0.1 -> '9876543219876543216543210123456789' Inexact Rounded +dqadd36564 fma 1 '9876543219876543216543210123456789' 0.4 -> '9876543219876543216543210123456789' Inexact Rounded +dqadd36565 fma 1 '9876543219876543216543210123456789' 0.49 -> '9876543219876543216543210123456789' Inexact Rounded +dqadd36566 fma 1 '9876543219876543216543210123456789' 0.499999 -> '9876543219876543216543210123456789' Inexact Rounded +dqadd36567 fma 1 '9876543219876543216543210123456789' 0.499999999 -> '9876543219876543216543210123456789' Inexact Rounded +dqadd36568 fma 1 '9876543219876543216543210123456789' 0.5 -> '9876543219876543216543210123456790' Inexact Rounded +dqadd36569 fma 1 '9876543219876543216543210123456789' 0.500000001 -> '9876543219876543216543210123456790' Inexact Rounded +dqadd36570 fma 1 '9876543219876543216543210123456789' 0.500001 -> '9876543219876543216543210123456790' Inexact Rounded +dqadd36571 fma 1 '9876543219876543216543210123456789' 0.51 -> '9876543219876543216543210123456790' Inexact Rounded +dqadd36572 fma 1 '9876543219876543216543210123456789' 0.6 -> '9876543219876543216543210123456790' Inexact Rounded +dqadd36573 fma 1 '9876543219876543216543210123456789' 0.9 -> '9876543219876543216543210123456790' Inexact Rounded +dqadd36574 fma 1 '9876543219876543216543210123456789' 0.99999 -> '9876543219876543216543210123456790' Inexact Rounded +dqadd36575 fma 1 '9876543219876543216543210123456789' 0.999999999 -> '9876543219876543216543210123456790' Inexact Rounded +dqadd36576 fma 1 '9876543219876543216543210123456789' 1 -> '9876543219876543216543210123456790' +dqadd36577 fma 1 '9876543219876543216543210123456789' 1.00000001 -> '9876543219876543216543210123456790' Inexact Rounded +dqadd36578 fma 1 '9876543219876543216543210123456789' 1.00001 -> '9876543219876543216543210123456790' Inexact Rounded +dqadd36579 fma 1 '9876543219876543216543210123456789' 1.1 -> '9876543219876543216543210123456790' Inexact Rounded + +-- critical few with even bottom digit... +dqadd37540 fma 1 '9876543219876543216543210123456788' 0.499999999 -> '9876543219876543216543210123456788' Inexact Rounded +dqadd37541 fma 1 '9876543219876543216543210123456788' 0.5 -> '9876543219876543216543210123456788' Inexact Rounded +dqadd37542 fma 1 '9876543219876543216543210123456788' 0.500000001 -> '9876543219876543216543210123456789' Inexact Rounded + +rounding: down +dqadd37550 fma 1 '9876543219876543216543210123456789' 0 -> '9876543219876543216543210123456789' +dqadd37551 fma 1 '9876543219876543216543210123456789' 0.000000001 -> '9876543219876543216543210123456789' Inexact Rounded +dqadd37552 fma 1 '9876543219876543216543210123456789' 0.000001 -> '9876543219876543216543210123456789' Inexact Rounded +dqadd37553 fma 1 '9876543219876543216543210123456789' 0.1 -> '9876543219876543216543210123456789' Inexact Rounded +dqadd37554 fma 1 '9876543219876543216543210123456789' 0.4 -> '9876543219876543216543210123456789' Inexact Rounded +dqadd37555 fma 1 '9876543219876543216543210123456789' 0.49 -> '9876543219876543216543210123456789' Inexact Rounded +dqadd37556 fma 1 '9876543219876543216543210123456789' 0.499999 -> '9876543219876543216543210123456789' Inexact Rounded +dqadd37557 fma 1 '9876543219876543216543210123456789' 0.499999999 -> '9876543219876543216543210123456789' Inexact Rounded +dqadd37558 fma 1 '9876543219876543216543210123456789' 0.5 -> '9876543219876543216543210123456789' Inexact Rounded +dqadd37559 fma 1 '9876543219876543216543210123456789' 0.500000001 -> '9876543219876543216543210123456789' Inexact Rounded +dqadd37560 fma 1 '9876543219876543216543210123456789' 0.500001 -> '9876543219876543216543210123456789' Inexact Rounded +dqadd37561 fma 1 '9876543219876543216543210123456789' 0.51 -> '9876543219876543216543210123456789' Inexact Rounded +dqadd37562 fma 1 '9876543219876543216543210123456789' 0.6 -> '9876543219876543216543210123456789' Inexact Rounded +dqadd37563 fma 1 '9876543219876543216543210123456789' 0.9 -> '9876543219876543216543210123456789' Inexact Rounded +dqadd37564 fma 1 '9876543219876543216543210123456789' 0.99999 -> '9876543219876543216543210123456789' Inexact Rounded +dqadd37565 fma 1 '9876543219876543216543210123456789' 0.999999999 -> '9876543219876543216543210123456789' Inexact Rounded +dqadd37566 fma 1 '9876543219876543216543210123456789' 1 -> '9876543219876543216543210123456790' +dqadd37567 fma 1 '9876543219876543216543210123456789' 1.00000001 -> '9876543219876543216543210123456790' Inexact Rounded +dqadd37568 fma 1 '9876543219876543216543210123456789' 1.00001 -> '9876543219876543216543210123456790' Inexact Rounded +dqadd37569 fma 1 '9876543219876543216543210123456789' 1.1 -> '9876543219876543216543210123456790' Inexact Rounded + +-- more zeros, etc. +rounding: half_even + +dqadd37701 fma 1 5.00 1.00E-3 -> 5.00100 +dqadd37702 fma 1 00.00 0.000 -> 0.000 +dqadd37703 fma 1 00.00 0E-3 -> 0.000 +dqadd37704 fma 1 0E-3 00.00 -> 0.000 + +dqadd37710 fma 1 0E+3 00.00 -> 0.00 +dqadd37711 fma 1 0E+3 00.0 -> 0.0 +dqadd37712 fma 1 0E+3 00. -> 0 +dqadd37713 fma 1 0E+3 00.E+1 -> 0E+1 +dqadd37714 fma 1 0E+3 00.E+2 -> 0E+2 +dqadd37715 fma 1 0E+3 00.E+3 -> 0E+3 +dqadd37716 fma 1 0E+3 00.E+4 -> 0E+3 +dqadd37717 fma 1 0E+3 00.E+5 -> 0E+3 +dqadd37718 fma 1 0E+3 -00.0 -> 0.0 +dqadd37719 fma 1 0E+3 -00. -> 0 +dqadd37731 fma 1 0E+3 -00.E+1 -> 0E+1 + +dqadd37720 fma 1 00.00 0E+3 -> 0.00 +dqadd37721 fma 1 00.0 0E+3 -> 0.0 +dqadd37722 fma 1 00. 0E+3 -> 0 +dqadd37723 fma 1 00.E+1 0E+3 -> 0E+1 +dqadd37724 fma 1 00.E+2 0E+3 -> 0E+2 +dqadd37725 fma 1 00.E+3 0E+3 -> 0E+3 +dqadd37726 fma 1 00.E+4 0E+3 -> 0E+3 +dqadd37727 fma 1 00.E+5 0E+3 -> 0E+3 +dqadd37728 fma 1 -00.00 0E+3 -> 0.00 +dqadd37729 fma 1 -00.0 0E+3 -> 0.0 +dqadd37730 fma 1 -00. 0E+3 -> 0 + +dqadd37732 fma 1 0 0 -> 0 +dqadd37733 fma 1 0 -0 -> 0 +dqadd37734 fma 1 -0 0 -> 0 +dqadd37735 fma 1 -0 -0 -> -0 -- IEEE 854 special case + +dqadd37736 fma 1 1 -1 -> 0 +dqadd37737 fma 1 -1 -1 -> -2 +dqadd37738 fma 1 1 1 -> 2 +dqadd37739 fma 1 -1 1 -> 0 + +dqadd37741 fma 1 0 -1 -> -1 +dqadd37742 fma 1 -0 -1 -> -1 +dqadd37743 fma 1 0 1 -> 1 +dqadd37744 fma 1 -0 1 -> 1 +dqadd37745 fma 1 -1 0 -> -1 +dqadd37746 fma 1 -1 -0 -> -1 +dqadd37747 fma 1 1 0 -> 1 +dqadd37748 fma 1 1 -0 -> 1 + +dqadd37751 fma 1 0.0 -1 -> -1.0 +dqadd37752 fma 1 -0.0 -1 -> -1.0 +dqadd37753 fma 1 0.0 1 -> 1.0 +dqadd37754 fma 1 -0.0 1 -> 1.0 +dqadd37755 fma 1 -1.0 0 -> -1.0 +dqadd37756 fma 1 -1.0 -0 -> -1.0 +dqadd37757 fma 1 1.0 0 -> 1.0 +dqadd37758 fma 1 1.0 -0 -> 1.0 + +dqadd37761 fma 1 0 -1.0 -> -1.0 +dqadd37762 fma 1 -0 -1.0 -> -1.0 +dqadd37763 fma 1 0 1.0 -> 1.0 +dqadd37764 fma 1 -0 1.0 -> 1.0 +dqadd37765 fma 1 -1 0.0 -> -1.0 +dqadd37766 fma 1 -1 -0.0 -> -1.0 +dqadd37767 fma 1 1 0.0 -> 1.0 +dqadd37768 fma 1 1 -0.0 -> 1.0 + +dqadd37771 fma 1 0.0 -1.0 -> -1.0 +dqadd37772 fma 1 -0.0 -1.0 -> -1.0 +dqadd37773 fma 1 0.0 1.0 -> 1.0 +dqadd37774 fma 1 -0.0 1.0 -> 1.0 +dqadd37775 fma 1 -1.0 0.0 -> -1.0 +dqadd37776 fma 1 -1.0 -0.0 -> -1.0 +dqadd37777 fma 1 1.0 0.0 -> 1.0 +dqadd37778 fma 1 1.0 -0.0 -> 1.0 + +-- Specials +dqadd37780 fma 1 -Inf -Inf -> -Infinity +dqadd37781 fma 1 -Inf -1000 -> -Infinity +dqadd37782 fma 1 -Inf -1 -> -Infinity +dqadd37783 fma 1 -Inf -0 -> -Infinity +dqadd37784 fma 1 -Inf 0 -> -Infinity +dqadd37785 fma 1 -Inf 1 -> -Infinity +dqadd37786 fma 1 -Inf 1000 -> -Infinity +dqadd37787 fma 1 -1000 -Inf -> -Infinity +dqadd37788 fma 1 -Inf -Inf -> -Infinity +dqadd37789 fma 1 -1 -Inf -> -Infinity +dqadd37790 fma 1 -0 -Inf -> -Infinity +dqadd37791 fma 1 0 -Inf -> -Infinity +dqadd37792 fma 1 1 -Inf -> -Infinity +dqadd37793 fma 1 1000 -Inf -> -Infinity +dqadd37794 fma 1 Inf -Inf -> NaN Invalid_operation + +dqadd37800 fma 1 Inf -Inf -> NaN Invalid_operation +dqadd37801 fma 1 Inf -1000 -> Infinity +dqadd37802 fma 1 Inf -1 -> Infinity +dqadd37803 fma 1 Inf -0 -> Infinity +dqadd37804 fma 1 Inf 0 -> Infinity +dqadd37805 fma 1 Inf 1 -> Infinity +dqadd37806 fma 1 Inf 1000 -> Infinity +dqadd37807 fma 1 Inf Inf -> Infinity +dqadd37808 fma 1 -1000 Inf -> Infinity +dqadd37809 fma 1 -Inf Inf -> NaN Invalid_operation +dqadd37810 fma 1 -1 Inf -> Infinity +dqadd37811 fma 1 -0 Inf -> Infinity +dqadd37812 fma 1 0 Inf -> Infinity +dqadd37813 fma 1 1 Inf -> Infinity +dqadd37814 fma 1 1000 Inf -> Infinity +dqadd37815 fma 1 Inf Inf -> Infinity + +dqadd37821 fma 1 NaN -Inf -> NaN +dqadd37822 fma 1 NaN -1000 -> NaN +dqadd37823 fma 1 NaN -1 -> NaN +dqadd37824 fma 1 NaN -0 -> NaN +dqadd37825 fma 1 NaN 0 -> NaN +dqadd37826 fma 1 NaN 1 -> NaN +dqadd37827 fma 1 NaN 1000 -> NaN +dqadd37828 fma 1 NaN Inf -> NaN +dqadd37829 fma 1 NaN NaN -> NaN +dqadd37830 fma 1 -Inf NaN -> NaN +dqadd37831 fma 1 -1000 NaN -> NaN +dqadd37832 fma 1 -1 NaN -> NaN +dqadd37833 fma 1 -0 NaN -> NaN +dqadd37834 fma 1 0 NaN -> NaN +dqadd37835 fma 1 1 NaN -> NaN +dqadd37836 fma 1 1000 NaN -> NaN +dqadd37837 fma 1 Inf NaN -> NaN + +dqadd37841 fma 1 sNaN -Inf -> NaN Invalid_operation +dqadd37842 fma 1 sNaN -1000 -> NaN Invalid_operation +dqadd37843 fma 1 sNaN -1 -> NaN Invalid_operation +dqadd37844 fma 1 sNaN -0 -> NaN Invalid_operation +dqadd37845 fma 1 sNaN 0 -> NaN Invalid_operation +dqadd37846 fma 1 sNaN 1 -> NaN Invalid_operation +dqadd37847 fma 1 sNaN 1000 -> NaN Invalid_operation +dqadd37848 fma 1 sNaN NaN -> NaN Invalid_operation +dqadd37849 fma 1 sNaN sNaN -> NaN Invalid_operation +dqadd37850 fma 1 NaN sNaN -> NaN Invalid_operation +dqadd37851 fma 1 -Inf sNaN -> NaN Invalid_operation +dqadd37852 fma 1 -1000 sNaN -> NaN Invalid_operation +dqadd37853 fma 1 -1 sNaN -> NaN Invalid_operation +dqadd37854 fma 1 -0 sNaN -> NaN Invalid_operation +dqadd37855 fma 1 0 sNaN -> NaN Invalid_operation +dqadd37856 fma 1 1 sNaN -> NaN Invalid_operation +dqadd37857 fma 1 1000 sNaN -> NaN Invalid_operation +dqadd37858 fma 1 Inf sNaN -> NaN Invalid_operation +dqadd37859 fma 1 NaN sNaN -> NaN Invalid_operation + +-- propagating NaNs +dqadd37861 fma 1 NaN1 -Inf -> NaN1 +dqadd37862 fma 1 +NaN2 -1000 -> NaN2 +dqadd37863 fma 1 NaN3 1000 -> NaN3 +dqadd37864 fma 1 NaN4 Inf -> NaN4 +dqadd37865 fma 1 NaN5 +NaN6 -> NaN5 +dqadd37866 fma 1 -Inf NaN7 -> NaN7 +dqadd37867 fma 1 -1000 NaN8 -> NaN8 +dqadd37868 fma 1 1000 NaN9 -> NaN9 +dqadd37869 fma 1 Inf +NaN10 -> NaN10 +dqadd37871 fma 1 sNaN11 -Inf -> NaN11 Invalid_operation +dqadd37872 fma 1 sNaN12 -1000 -> NaN12 Invalid_operation +dqadd37873 fma 1 sNaN13 1000 -> NaN13 Invalid_operation +dqadd37874 fma 1 sNaN14 NaN17 -> NaN14 Invalid_operation +dqadd37875 fma 1 sNaN15 sNaN18 -> NaN15 Invalid_operation +dqadd37876 fma 1 NaN16 sNaN19 -> NaN19 Invalid_operation +dqadd37877 fma 1 -Inf +sNaN20 -> NaN20 Invalid_operation +dqadd37878 fma 1 -1000 sNaN21 -> NaN21 Invalid_operation +dqadd37879 fma 1 1000 sNaN22 -> NaN22 Invalid_operation +dqadd37880 fma 1 Inf sNaN23 -> NaN23 Invalid_operation +dqadd37881 fma 1 +NaN25 +sNaN24 -> NaN24 Invalid_operation +dqadd37882 fma 1 -NaN26 NaN28 -> -NaN26 +dqadd37883 fma 1 -sNaN27 sNaN29 -> -NaN27 Invalid_operation +dqadd37884 fma 1 1000 -NaN30 -> -NaN30 +dqadd37885 fma 1 1000 -sNaN31 -> -NaN31 Invalid_operation + +-- Here we explore near the boundary of rounding a subnormal to Nmin +dqadd37575 fma 1 1E-6143 -1E-6176 -> 9.99999999999999999999999999999999E-6144 Subnormal +dqadd37576 fma 1 -1E-6143 +1E-6176 -> -9.99999999999999999999999999999999E-6144 Subnormal + +-- check overflow edge case +-- 1234567890123456 +dqadd37972 apply 9.999999999999999999999999999999999E+6144 -> 9.999999999999999999999999999999999E+6144 +dqadd37973 fma 1 9.999999999999999999999999999999999E+6144 1 -> 9.999999999999999999999999999999999E+6144 Inexact Rounded +dqadd37974 fma 1 9999999999999999999999999999999999E+6111 1 -> 9.999999999999999999999999999999999E+6144 Inexact Rounded +dqadd37975 fma 1 9999999999999999999999999999999999E+6111 1E+6111 -> Infinity Overflow Inexact Rounded +dqadd37976 fma 1 9999999999999999999999999999999999E+6111 9E+6110 -> Infinity Overflow Inexact Rounded +dqadd37977 fma 1 9999999999999999999999999999999999E+6111 8E+6110 -> Infinity Overflow Inexact Rounded +dqadd37978 fma 1 9999999999999999999999999999999999E+6111 7E+6110 -> Infinity Overflow Inexact Rounded +dqadd37979 fma 1 9999999999999999999999999999999999E+6111 6E+6110 -> Infinity Overflow Inexact Rounded +dqadd37980 fma 1 9999999999999999999999999999999999E+6111 5E+6110 -> Infinity Overflow Inexact Rounded +dqadd37981 fma 1 9999999999999999999999999999999999E+6111 4E+6110 -> 9.999999999999999999999999999999999E+6144 Inexact Rounded +dqadd37982 fma 1 9999999999999999999999999999999999E+6111 3E+6110 -> 9.999999999999999999999999999999999E+6144 Inexact Rounded +dqadd37983 fma 1 9999999999999999999999999999999999E+6111 2E+6110 -> 9.999999999999999999999999999999999E+6144 Inexact Rounded +dqadd37984 fma 1 9999999999999999999999999999999999E+6111 1E+6110 -> 9.999999999999999999999999999999999E+6144 Inexact Rounded + +dqadd37985 apply -9.999999999999999999999999999999999E+6144 -> -9.999999999999999999999999999999999E+6144 +dqadd37986 fma 1 -9.999999999999999999999999999999999E+6144 -1 -> -9.999999999999999999999999999999999E+6144 Inexact Rounded +dqadd37987 fma 1 -9999999999999999999999999999999999E+6111 -1 -> -9.999999999999999999999999999999999E+6144 Inexact Rounded +dqadd37988 fma 1 -9999999999999999999999999999999999E+6111 -1E+6111 -> -Infinity Overflow Inexact Rounded +dqadd37989 fma 1 -9999999999999999999999999999999999E+6111 -9E+6110 -> -Infinity Overflow Inexact Rounded +dqadd37990 fma 1 -9999999999999999999999999999999999E+6111 -8E+6110 -> -Infinity Overflow Inexact Rounded +dqadd37991 fma 1 -9999999999999999999999999999999999E+6111 -7E+6110 -> -Infinity Overflow Inexact Rounded +dqadd37992 fma 1 -9999999999999999999999999999999999E+6111 -6E+6110 -> -Infinity Overflow Inexact Rounded +dqadd37993 fma 1 -9999999999999999999999999999999999E+6111 -5E+6110 -> -Infinity Overflow Inexact Rounded +dqadd37994 fma 1 -9999999999999999999999999999999999E+6111 -4E+6110 -> -9.999999999999999999999999999999999E+6144 Inexact Rounded +dqadd37995 fma 1 -9999999999999999999999999999999999E+6111 -3E+6110 -> -9.999999999999999999999999999999999E+6144 Inexact Rounded +dqadd37996 fma 1 -9999999999999999999999999999999999E+6111 -2E+6110 -> -9.999999999999999999999999999999999E+6144 Inexact Rounded +dqadd37997 fma 1 -9999999999999999999999999999999999E+6111 -1E+6110 -> -9.999999999999999999999999999999999E+6144 Inexact Rounded + +-- And for round down full and subnormal results +rounding: down +dqadd371100 fma 1 1e+2 -1e-6143 -> 99.99999999999999999999999999999999 Rounded Inexact +dqadd371101 fma 1 1e+1 -1e-6143 -> 9.999999999999999999999999999999999 Rounded Inexact +dqadd371103 fma 1 +1 -1e-6143 -> 0.9999999999999999999999999999999999 Rounded Inexact +dqadd371104 fma 1 1e-1 -1e-6143 -> 0.09999999999999999999999999999999999 Rounded Inexact +dqadd371105 fma 1 1e-2 -1e-6143 -> 0.009999999999999999999999999999999999 Rounded Inexact +dqadd371106 fma 1 1e-3 -1e-6143 -> 0.0009999999999999999999999999999999999 Rounded Inexact +dqadd371107 fma 1 1e-4 -1e-6143 -> 0.00009999999999999999999999999999999999 Rounded Inexact +dqadd371108 fma 1 1e-5 -1e-6143 -> 0.000009999999999999999999999999999999999 Rounded Inexact +dqadd371109 fma 1 1e-6 -1e-6143 -> 9.999999999999999999999999999999999E-7 Rounded Inexact + +rounding: ceiling +dqadd371110 fma 1 -1e+2 +1e-6143 -> -99.99999999999999999999999999999999 Rounded Inexact +dqadd371111 fma 1 -1e+1 +1e-6143 -> -9.999999999999999999999999999999999 Rounded Inexact +dqadd371113 fma 1 -1 +1e-6143 -> -0.9999999999999999999999999999999999 Rounded Inexact +dqadd371114 fma 1 -1e-1 +1e-6143 -> -0.09999999999999999999999999999999999 Rounded Inexact +dqadd371115 fma 1 -1e-2 +1e-6143 -> -0.009999999999999999999999999999999999 Rounded Inexact +dqadd371116 fma 1 -1e-3 +1e-6143 -> -0.0009999999999999999999999999999999999 Rounded Inexact +dqadd371117 fma 1 -1e-4 +1e-6143 -> -0.00009999999999999999999999999999999999 Rounded Inexact +dqadd371118 fma 1 -1e-5 +1e-6143 -> -0.000009999999999999999999999999999999999 Rounded Inexact +dqadd371119 fma 1 -1e-6 +1e-6143 -> -9.999999999999999999999999999999999E-7 Rounded Inexact + +-- tests based on Gunnar Degnbol's edge case +rounding: half_even + +dqadd371300 fma 1 1E34 -0.5 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd371310 fma 1 1E34 -0.51 -> 9999999999999999999999999999999999 Inexact Rounded +dqadd371311 fma 1 1E34 -0.501 -> 9999999999999999999999999999999999 Inexact Rounded +dqadd371312 fma 1 1E34 -0.5001 -> 9999999999999999999999999999999999 Inexact Rounded +dqadd371313 fma 1 1E34 -0.50001 -> 9999999999999999999999999999999999 Inexact Rounded +dqadd371314 fma 1 1E34 -0.500001 -> 9999999999999999999999999999999999 Inexact Rounded +dqadd371315 fma 1 1E34 -0.5000001 -> 9999999999999999999999999999999999 Inexact Rounded +dqadd371316 fma 1 1E34 -0.50000001 -> 9999999999999999999999999999999999 Inexact Rounded +dqadd371317 fma 1 1E34 -0.500000001 -> 9999999999999999999999999999999999 Inexact Rounded +dqadd371318 fma 1 1E34 -0.5000000001 -> 9999999999999999999999999999999999 Inexact Rounded +dqadd371319 fma 1 1E34 -0.50000000001 -> 9999999999999999999999999999999999 Inexact Rounded +dqadd371320 fma 1 1E34 -0.500000000001 -> 9999999999999999999999999999999999 Inexact Rounded +dqadd371321 fma 1 1E34 -0.5000000000001 -> 9999999999999999999999999999999999 Inexact Rounded +dqadd371322 fma 1 1E34 -0.50000000000001 -> 9999999999999999999999999999999999 Inexact Rounded +dqadd371323 fma 1 1E34 -0.500000000000001 -> 9999999999999999999999999999999999 Inexact Rounded +dqadd371324 fma 1 1E34 -0.5000000000000001 -> 9999999999999999999999999999999999 Inexact Rounded +dqadd371325 fma 1 1E34 -0.5000000000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd371326 fma 1 1E34 -0.500000000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd371327 fma 1 1E34 -0.50000000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd371328 fma 1 1E34 -0.5000000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd371329 fma 1 1E34 -0.500000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd371330 fma 1 1E34 -0.50000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd371331 fma 1 1E34 -0.5000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd371332 fma 1 1E34 -0.500000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd371333 fma 1 1E34 -0.50000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd371334 fma 1 1E34 -0.5000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd371335 fma 1 1E34 -0.500000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd371336 fma 1 1E34 -0.50000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd371337 fma 1 1E34 -0.5000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd371338 fma 1 1E34 -0.500 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd371339 fma 1 1E34 -0.50 -> 1.000000000000000000000000000000000E+34 Inexact Rounded + +dqadd371340 fma 1 1E34 -5000000.000010001 -> 9999999999999999999999999995000000 Inexact Rounded +dqadd371341 fma 1 1E34 -5000000.000000001 -> 9999999999999999999999999995000000 Inexact Rounded + +dqadd371349 fma 1 9999999999999999999999999999999999 0.4 -> 9999999999999999999999999999999999 Inexact Rounded +dqadd371350 fma 1 9999999999999999999999999999999999 0.49 -> 9999999999999999999999999999999999 Inexact Rounded +dqadd371351 fma 1 9999999999999999999999999999999999 0.499 -> 9999999999999999999999999999999999 Inexact Rounded +dqadd371352 fma 1 9999999999999999999999999999999999 0.4999 -> 9999999999999999999999999999999999 Inexact Rounded +dqadd371353 fma 1 9999999999999999999999999999999999 0.49999 -> 9999999999999999999999999999999999 Inexact Rounded +dqadd371354 fma 1 9999999999999999999999999999999999 0.499999 -> 9999999999999999999999999999999999 Inexact Rounded +dqadd371355 fma 1 9999999999999999999999999999999999 0.4999999 -> 9999999999999999999999999999999999 Inexact Rounded +dqadd371356 fma 1 9999999999999999999999999999999999 0.49999999 -> 9999999999999999999999999999999999 Inexact Rounded +dqadd371357 fma 1 9999999999999999999999999999999999 0.499999999 -> 9999999999999999999999999999999999 Inexact Rounded +dqadd371358 fma 1 9999999999999999999999999999999999 0.4999999999 -> 9999999999999999999999999999999999 Inexact Rounded +dqadd371359 fma 1 9999999999999999999999999999999999 0.49999999999 -> 9999999999999999999999999999999999 Inexact Rounded +dqadd371360 fma 1 9999999999999999999999999999999999 0.499999999999 -> 9999999999999999999999999999999999 Inexact Rounded +dqadd371361 fma 1 9999999999999999999999999999999999 0.4999999999999 -> 9999999999999999999999999999999999 Inexact Rounded +dqadd371362 fma 1 9999999999999999999999999999999999 0.49999999999999 -> 9999999999999999999999999999999999 Inexact Rounded +dqadd371363 fma 1 9999999999999999999999999999999999 0.499999999999999 -> 9999999999999999999999999999999999 Inexact Rounded +dqadd371364 fma 1 9999999999999999999999999999999999 0.4999999999999999 -> 9999999999999999999999999999999999 Inexact Rounded +dqadd371365 fma 1 9999999999999999999999999999999999 0.5000000000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd371367 fma 1 9999999999999999999999999999999999 0.500000000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd371368 fma 1 9999999999999999999999999999999999 0.50000000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd371369 fma 1 9999999999999999999999999999999999 0.5000000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd371370 fma 1 9999999999999999999999999999999999 0.500000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd371371 fma 1 9999999999999999999999999999999999 0.50000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd371372 fma 1 9999999999999999999999999999999999 0.5000000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd371373 fma 1 9999999999999999999999999999999999 0.500000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd371374 fma 1 9999999999999999999999999999999999 0.50000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd371375 fma 1 9999999999999999999999999999999999 0.5000000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd371376 fma 1 9999999999999999999999999999999999 0.500000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd371377 fma 1 9999999999999999999999999999999999 0.50000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd371378 fma 1 9999999999999999999999999999999999 0.5000 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd371379 fma 1 9999999999999999999999999999999999 0.500 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd371380 fma 1 9999999999999999999999999999999999 0.50 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd371381 fma 1 9999999999999999999999999999999999 0.5 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd371382 fma 1 9999999999999999999999999999999999 0.5000000000000001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd371383 fma 1 9999999999999999999999999999999999 0.500000000000001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd371384 fma 1 9999999999999999999999999999999999 0.50000000000001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd371385 fma 1 9999999999999999999999999999999999 0.5000000000001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd371386 fma 1 9999999999999999999999999999999999 0.500000000001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd371387 fma 1 9999999999999999999999999999999999 0.50000000001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd371388 fma 1 9999999999999999999999999999999999 0.5000000001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd371389 fma 1 9999999999999999999999999999999999 0.500000001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd371390 fma 1 9999999999999999999999999999999999 0.50000001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd371391 fma 1 9999999999999999999999999999999999 0.5000001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd371392 fma 1 9999999999999999999999999999999999 0.500001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd371393 fma 1 9999999999999999999999999999999999 0.50001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd371394 fma 1 9999999999999999999999999999999999 0.5001 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd371395 fma 1 9999999999999999999999999999999999 0.501 -> 1.000000000000000000000000000000000E+34 Inexact Rounded +dqadd371396 fma 1 9999999999999999999999999999999999 0.51 -> 1.000000000000000000000000000000000E+34 Inexact Rounded + +-- More GD edge cases, where difference between the unadjusted +-- exponents is larger than the maximum precision and one side is 0 +dqadd371420 fma 1 0 1.123456789987654321123456789012345 -> 1.123456789987654321123456789012345 +dqadd371421 fma 1 0 1.123456789987654321123456789012345E-1 -> 0.1123456789987654321123456789012345 +dqadd371422 fma 1 0 1.123456789987654321123456789012345E-2 -> 0.01123456789987654321123456789012345 +dqadd371423 fma 1 0 1.123456789987654321123456789012345E-3 -> 0.001123456789987654321123456789012345 +dqadd371424 fma 1 0 1.123456789987654321123456789012345E-4 -> 0.0001123456789987654321123456789012345 +dqadd371425 fma 1 0 1.123456789987654321123456789012345E-5 -> 0.00001123456789987654321123456789012345 +dqadd371426 fma 1 0 1.123456789987654321123456789012345E-6 -> 0.000001123456789987654321123456789012345 +dqadd371427 fma 1 0 1.123456789987654321123456789012345E-7 -> 1.123456789987654321123456789012345E-7 +dqadd371428 fma 1 0 1.123456789987654321123456789012345E-8 -> 1.123456789987654321123456789012345E-8 +dqadd371429 fma 1 0 1.123456789987654321123456789012345E-9 -> 1.123456789987654321123456789012345E-9 +dqadd371430 fma 1 0 1.123456789987654321123456789012345E-10 -> 1.123456789987654321123456789012345E-10 +dqadd371431 fma 1 0 1.123456789987654321123456789012345E-11 -> 1.123456789987654321123456789012345E-11 +dqadd371432 fma 1 0 1.123456789987654321123456789012345E-12 -> 1.123456789987654321123456789012345E-12 +dqadd371433 fma 1 0 1.123456789987654321123456789012345E-13 -> 1.123456789987654321123456789012345E-13 +dqadd371434 fma 1 0 1.123456789987654321123456789012345E-14 -> 1.123456789987654321123456789012345E-14 +dqadd371435 fma 1 0 1.123456789987654321123456789012345E-15 -> 1.123456789987654321123456789012345E-15 +dqadd371436 fma 1 0 1.123456789987654321123456789012345E-16 -> 1.123456789987654321123456789012345E-16 +dqadd371437 fma 1 0 1.123456789987654321123456789012345E-17 -> 1.123456789987654321123456789012345E-17 +dqadd371438 fma 1 0 1.123456789987654321123456789012345E-18 -> 1.123456789987654321123456789012345E-18 +dqadd371439 fma 1 0 1.123456789987654321123456789012345E-19 -> 1.123456789987654321123456789012345E-19 +dqadd371440 fma 1 0 1.123456789987654321123456789012345E-20 -> 1.123456789987654321123456789012345E-20 +dqadd371441 fma 1 0 1.123456789987654321123456789012345E-21 -> 1.123456789987654321123456789012345E-21 +dqadd371442 fma 1 0 1.123456789987654321123456789012345E-22 -> 1.123456789987654321123456789012345E-22 +dqadd371443 fma 1 0 1.123456789987654321123456789012345E-23 -> 1.123456789987654321123456789012345E-23 +dqadd371444 fma 1 0 1.123456789987654321123456789012345E-24 -> 1.123456789987654321123456789012345E-24 +dqadd371445 fma 1 0 1.123456789987654321123456789012345E-25 -> 1.123456789987654321123456789012345E-25 +dqadd371446 fma 1 0 1.123456789987654321123456789012345E-26 -> 1.123456789987654321123456789012345E-26 +dqadd371447 fma 1 0 1.123456789987654321123456789012345E-27 -> 1.123456789987654321123456789012345E-27 +dqadd371448 fma 1 0 1.123456789987654321123456789012345E-28 -> 1.123456789987654321123456789012345E-28 +dqadd371449 fma 1 0 1.123456789987654321123456789012345E-29 -> 1.123456789987654321123456789012345E-29 +dqadd371450 fma 1 0 1.123456789987654321123456789012345E-30 -> 1.123456789987654321123456789012345E-30 +dqadd371451 fma 1 0 1.123456789987654321123456789012345E-31 -> 1.123456789987654321123456789012345E-31 +dqadd371452 fma 1 0 1.123456789987654321123456789012345E-32 -> 1.123456789987654321123456789012345E-32 +dqadd371453 fma 1 0 1.123456789987654321123456789012345E-33 -> 1.123456789987654321123456789012345E-33 +dqadd371454 fma 1 0 1.123456789987654321123456789012345E-34 -> 1.123456789987654321123456789012345E-34 +dqadd371455 fma 1 0 1.123456789987654321123456789012345E-35 -> 1.123456789987654321123456789012345E-35 +dqadd371456 fma 1 0 1.123456789987654321123456789012345E-36 -> 1.123456789987654321123456789012345E-36 + +-- same, reversed 0 +dqadd371460 fma 1 1.123456789987654321123456789012345 0 -> 1.123456789987654321123456789012345 +dqadd371461 fma 1 1.123456789987654321123456789012345E-1 0 -> 0.1123456789987654321123456789012345 +dqadd371462 fma 1 1.123456789987654321123456789012345E-2 0 -> 0.01123456789987654321123456789012345 +dqadd371463 fma 1 1.123456789987654321123456789012345E-3 0 -> 0.001123456789987654321123456789012345 +dqadd371464 fma 1 1.123456789987654321123456789012345E-4 0 -> 0.0001123456789987654321123456789012345 +dqadd371465 fma 1 1.123456789987654321123456789012345E-5 0 -> 0.00001123456789987654321123456789012345 +dqadd371466 fma 1 1.123456789987654321123456789012345E-6 0 -> 0.000001123456789987654321123456789012345 +dqadd371467 fma 1 1.123456789987654321123456789012345E-7 0 -> 1.123456789987654321123456789012345E-7 +dqadd371468 fma 1 1.123456789987654321123456789012345E-8 0 -> 1.123456789987654321123456789012345E-8 +dqadd371469 fma 1 1.123456789987654321123456789012345E-9 0 -> 1.123456789987654321123456789012345E-9 +dqadd371470 fma 1 1.123456789987654321123456789012345E-10 0 -> 1.123456789987654321123456789012345E-10 +dqadd371471 fma 1 1.123456789987654321123456789012345E-11 0 -> 1.123456789987654321123456789012345E-11 +dqadd371472 fma 1 1.123456789987654321123456789012345E-12 0 -> 1.123456789987654321123456789012345E-12 +dqadd371473 fma 1 1.123456789987654321123456789012345E-13 0 -> 1.123456789987654321123456789012345E-13 +dqadd371474 fma 1 1.123456789987654321123456789012345E-14 0 -> 1.123456789987654321123456789012345E-14 +dqadd371475 fma 1 1.123456789987654321123456789012345E-15 0 -> 1.123456789987654321123456789012345E-15 +dqadd371476 fma 1 1.123456789987654321123456789012345E-16 0 -> 1.123456789987654321123456789012345E-16 +dqadd371477 fma 1 1.123456789987654321123456789012345E-17 0 -> 1.123456789987654321123456789012345E-17 +dqadd371478 fma 1 1.123456789987654321123456789012345E-18 0 -> 1.123456789987654321123456789012345E-18 +dqadd371479 fma 1 1.123456789987654321123456789012345E-19 0 -> 1.123456789987654321123456789012345E-19 +dqadd371480 fma 1 1.123456789987654321123456789012345E-20 0 -> 1.123456789987654321123456789012345E-20 +dqadd371481 fma 1 1.123456789987654321123456789012345E-21 0 -> 1.123456789987654321123456789012345E-21 +dqadd371482 fma 1 1.123456789987654321123456789012345E-22 0 -> 1.123456789987654321123456789012345E-22 +dqadd371483 fma 1 1.123456789987654321123456789012345E-23 0 -> 1.123456789987654321123456789012345E-23 +dqadd371484 fma 1 1.123456789987654321123456789012345E-24 0 -> 1.123456789987654321123456789012345E-24 +dqadd371485 fma 1 1.123456789987654321123456789012345E-25 0 -> 1.123456789987654321123456789012345E-25 +dqadd371486 fma 1 1.123456789987654321123456789012345E-26 0 -> 1.123456789987654321123456789012345E-26 +dqadd371487 fma 1 1.123456789987654321123456789012345E-27 0 -> 1.123456789987654321123456789012345E-27 +dqadd371488 fma 1 1.123456789987654321123456789012345E-28 0 -> 1.123456789987654321123456789012345E-28 +dqadd371489 fma 1 1.123456789987654321123456789012345E-29 0 -> 1.123456789987654321123456789012345E-29 +dqadd371490 fma 1 1.123456789987654321123456789012345E-30 0 -> 1.123456789987654321123456789012345E-30 +dqadd371491 fma 1 1.123456789987654321123456789012345E-31 0 -> 1.123456789987654321123456789012345E-31 +dqadd371492 fma 1 1.123456789987654321123456789012345E-32 0 -> 1.123456789987654321123456789012345E-32 +dqadd371493 fma 1 1.123456789987654321123456789012345E-33 0 -> 1.123456789987654321123456789012345E-33 +dqadd371494 fma 1 1.123456789987654321123456789012345E-34 0 -> 1.123456789987654321123456789012345E-34 +dqadd371495 fma 1 1.123456789987654321123456789012345E-35 0 -> 1.123456789987654321123456789012345E-35 +dqadd371496 fma 1 1.123456789987654321123456789012345E-36 0 -> 1.123456789987654321123456789012345E-36 + +-- same, Es on the 0 +dqadd371500 fma 1 1.123456789987654321123456789012345 0E-0 -> 1.123456789987654321123456789012345 +dqadd371501 fma 1 1.123456789987654321123456789012345 0E-1 -> 1.123456789987654321123456789012345 +dqadd371502 fma 1 1.123456789987654321123456789012345 0E-2 -> 1.123456789987654321123456789012345 +dqadd371503 fma 1 1.123456789987654321123456789012345 0E-3 -> 1.123456789987654321123456789012345 +dqadd371504 fma 1 1.123456789987654321123456789012345 0E-4 -> 1.123456789987654321123456789012345 +dqadd371505 fma 1 1.123456789987654321123456789012345 0E-5 -> 1.123456789987654321123456789012345 +dqadd371506 fma 1 1.123456789987654321123456789012345 0E-6 -> 1.123456789987654321123456789012345 +dqadd371507 fma 1 1.123456789987654321123456789012345 0E-7 -> 1.123456789987654321123456789012345 +dqadd371508 fma 1 1.123456789987654321123456789012345 0E-8 -> 1.123456789987654321123456789012345 +dqadd371509 fma 1 1.123456789987654321123456789012345 0E-9 -> 1.123456789987654321123456789012345 +dqadd371510 fma 1 1.123456789987654321123456789012345 0E-10 -> 1.123456789987654321123456789012345 +dqadd371511 fma 1 1.123456789987654321123456789012345 0E-11 -> 1.123456789987654321123456789012345 +dqadd371512 fma 1 1.123456789987654321123456789012345 0E-12 -> 1.123456789987654321123456789012345 +dqadd371513 fma 1 1.123456789987654321123456789012345 0E-13 -> 1.123456789987654321123456789012345 +dqadd371514 fma 1 1.123456789987654321123456789012345 0E-14 -> 1.123456789987654321123456789012345 +dqadd371515 fma 1 1.123456789987654321123456789012345 0E-15 -> 1.123456789987654321123456789012345 +dqadd371516 fma 1 1.123456789987654321123456789012345 0E-16 -> 1.123456789987654321123456789012345 +dqadd371517 fma 1 1.123456789987654321123456789012345 0E-17 -> 1.123456789987654321123456789012345 +dqadd371518 fma 1 1.123456789987654321123456789012345 0E-18 -> 1.123456789987654321123456789012345 +dqadd371519 fma 1 1.123456789987654321123456789012345 0E-19 -> 1.123456789987654321123456789012345 +dqadd371520 fma 1 1.123456789987654321123456789012345 0E-20 -> 1.123456789987654321123456789012345 +dqadd371521 fma 1 1.123456789987654321123456789012345 0E-21 -> 1.123456789987654321123456789012345 +dqadd371522 fma 1 1.123456789987654321123456789012345 0E-22 -> 1.123456789987654321123456789012345 +dqadd371523 fma 1 1.123456789987654321123456789012345 0E-23 -> 1.123456789987654321123456789012345 +dqadd371524 fma 1 1.123456789987654321123456789012345 0E-24 -> 1.123456789987654321123456789012345 +dqadd371525 fma 1 1.123456789987654321123456789012345 0E-25 -> 1.123456789987654321123456789012345 +dqadd371526 fma 1 1.123456789987654321123456789012345 0E-26 -> 1.123456789987654321123456789012345 +dqadd371527 fma 1 1.123456789987654321123456789012345 0E-27 -> 1.123456789987654321123456789012345 +dqadd371528 fma 1 1.123456789987654321123456789012345 0E-28 -> 1.123456789987654321123456789012345 +dqadd371529 fma 1 1.123456789987654321123456789012345 0E-29 -> 1.123456789987654321123456789012345 +dqadd371530 fma 1 1.123456789987654321123456789012345 0E-30 -> 1.123456789987654321123456789012345 +dqadd371531 fma 1 1.123456789987654321123456789012345 0E-31 -> 1.123456789987654321123456789012345 +dqadd371532 fma 1 1.123456789987654321123456789012345 0E-32 -> 1.123456789987654321123456789012345 +dqadd371533 fma 1 1.123456789987654321123456789012345 0E-33 -> 1.123456789987654321123456789012345 +-- next four flag Rounded because the 0 extends the result +dqadd371534 fma 1 1.123456789987654321123456789012345 0E-34 -> 1.123456789987654321123456789012345 Rounded +dqadd371535 fma 1 1.123456789987654321123456789012345 0E-35 -> 1.123456789987654321123456789012345 Rounded +dqadd371536 fma 1 1.123456789987654321123456789012345 0E-36 -> 1.123456789987654321123456789012345 Rounded +dqadd371537 fma 1 1.123456789987654321123456789012345 0E-37 -> 1.123456789987654321123456789012345 Rounded + +-- sum of two opposite-sign operands is exactly 0 and floor => -0 +rounding: half_up +-- exact zeros from zeros +dqadd371600 fma 1 0 0E-19 -> 0E-19 +dqadd371601 fma 1 -0 0E-19 -> 0E-19 +dqadd371602 fma 1 0 -0E-19 -> 0E-19 +dqadd371603 fma 1 -0 -0E-19 -> -0E-19 +-- exact zeros from non-zeros +dqadd371611 fma 1 -11 11 -> 0 +dqadd371612 fma 1 11 -11 -> 0 +-- overflow +dqadd371613 fma 9E6144 10 1 -> Infinity Overflow Inexact Rounded +dqadd371614 fma -9E6144 10 1 -> -Infinity Overflow Inexact Rounded + +rounding: half_down +-- exact zeros from zeros +dqadd371620 fma 1 0 0E-19 -> 0E-19 +dqadd371621 fma 1 -0 0E-19 -> 0E-19 +dqadd371622 fma 1 0 -0E-19 -> 0E-19 +dqadd371623 fma 1 -0 -0E-19 -> -0E-19 +-- exact zeros from non-zeros +dqadd371631 fma 1 -11 11 -> 0 +dqadd371632 fma 1 11 -11 -> 0 +-- overflow +dqadd371633 fma 9E6144 10 1 -> Infinity Overflow Inexact Rounded +dqadd371634 fma -9E6144 10 1 -> -Infinity Overflow Inexact Rounded + +rounding: half_even +-- exact zeros from zeros +dqadd371640 fma 1 0 0E-19 -> 0E-19 +dqadd371641 fma 1 -0 0E-19 -> 0E-19 +dqadd371642 fma 1 0 -0E-19 -> 0E-19 +dqadd371643 fma 1 -0 -0E-19 -> -0E-19 +-- exact zeros from non-zeros +dqadd371651 fma 1 -11 11 -> 0 +dqadd371652 fma 1 11 -11 -> 0 +-- overflow +dqadd371653 fma 9E6144 10 1 -> Infinity Overflow Inexact Rounded +dqadd371654 fma -9E6144 10 1 -> -Infinity Overflow Inexact Rounded + +rounding: up +-- exact zeros from zeros +dqadd371660 fma 1 0 0E-19 -> 0E-19 +dqadd371661 fma 1 -0 0E-19 -> 0E-19 +dqadd371662 fma 1 0 -0E-19 -> 0E-19 +dqadd371663 fma 1 -0 -0E-19 -> -0E-19 +-- exact zeros from non-zeros +dqadd371671 fma 1 -11 11 -> 0 +dqadd371672 fma 1 11 -11 -> 0 +-- overflow +dqadd371673 fma 9E6144 10 1 -> Infinity Overflow Inexact Rounded +dqadd371674 fma -9E6144 10 1 -> -Infinity Overflow Inexact Rounded + +rounding: down +-- exact zeros from zeros +dqadd371680 fma 1 0 0E-19 -> 0E-19 +dqadd371681 fma 1 -0 0E-19 -> 0E-19 +dqadd371682 fma 1 0 -0E-19 -> 0E-19 +dqadd371683 fma 1 -0 -0E-19 -> -0E-19 +-- exact zeros from non-zeros +dqadd371691 fma 1 -11 11 -> 0 +dqadd371692 fma 1 11 -11 -> 0 +-- overflow +dqadd371693 fma 9E6144 10 1 -> 9.999999999999999999999999999999999E+6144 Overflow Inexact Rounded +dqadd371694 fma -9E6144 10 1 -> -9.999999999999999999999999999999999E+6144 Overflow Inexact Rounded + +rounding: ceiling +-- exact zeros from zeros +dqadd371700 fma 1 0 0E-19 -> 0E-19 +dqadd371701 fma 1 -0 0E-19 -> 0E-19 +dqadd371702 fma 1 0 -0E-19 -> 0E-19 +dqadd371703 fma 1 -0 -0E-19 -> -0E-19 +-- exact zeros from non-zeros +dqadd371711 fma 1 -11 11 -> 0 +dqadd371712 fma 1 11 -11 -> 0 +-- overflow +dqadd371713 fma 9E6144 10 1 -> Infinity Overflow Inexact Rounded +dqadd371714 fma -9E6144 10 1 -> -9.999999999999999999999999999999999E+6144 Overflow Inexact Rounded + +-- and the extra-special ugly case; unusual minuses marked by -- * +rounding: floor +-- exact zeros from zeros +dqadd371720 fma 1 0 0E-19 -> 0E-19 +dqadd371721 fma 1 -0 0E-19 -> -0E-19 -- * +dqadd371722 fma 1 0 -0E-19 -> -0E-19 -- * +dqadd371723 fma 1 -0 -0E-19 -> -0E-19 +-- exact zeros from non-zeros +dqadd371731 fma 1 -11 11 -> -0 -- * +dqadd371732 fma 1 11 -11 -> -0 -- * +-- overflow +dqadd371733 fma 9E6144 10 1 -> 9.999999999999999999999999999999999E+6144 Overflow Inexact Rounded +dqadd371734 fma -9E6144 10 1 -> -Infinity Overflow Inexact Rounded + +rounding: 05up +-- exact zeros from zeros +dqadd371740 fma 1 0 0E-19 -> 0E-19 +dqadd371741 fma 1 -0 0E-19 -> 0E-19 +dqadd371742 fma 1 0 -0E-19 -> 0E-19 +dqadd371743 fma 1 -0 -0E-19 -> -0E-19 +-- exact zeros from non-zeros +dqadd371751 fma 1 -11 11 -> 0 +dqadd371752 fma 1 11 -11 -> 0 +-- overflow +dqadd371753 fma 9E6144 10 1 -> 9.999999999999999999999999999999999E+6144 Overflow Inexact Rounded +dqadd371754 fma -9E6144 10 1 -> -9.999999999999999999999999999999999E+6144 Overflow Inexact Rounded + +-- Examples from SQL proposal (Krishna Kulkarni) +dqadd371761 fma 1 130E-2 120E-2 -> 2.50 +dqadd371762 fma 1 130E-2 12E-1 -> 2.50 +dqadd371763 fma 1 130E-2 1E0 -> 2.30 +dqadd371764 fma 1 1E2 1E4 -> 1.01E+4 +dqadd371765 fma 1 130E-2 -120E-2 -> 0.10 +dqadd371766 fma 1 130E-2 -12E-1 -> 0.10 +dqadd371767 fma 1 130E-2 -1E0 -> 0.30 +dqadd371768 fma 1 1E2 -1E4 -> -9.9E+3 + +-- Gappy coefficients; check residue handling even with full coefficient gap +rounding: half_even + +dqadd375001 fma 1 1239876543211234567894567890123456 1 -> 1239876543211234567894567890123457 +dqadd375002 fma 1 1239876543211234567894567890123456 0.6 -> 1239876543211234567894567890123457 Inexact Rounded +dqadd375003 fma 1 1239876543211234567894567890123456 0.06 -> 1239876543211234567894567890123456 Inexact Rounded +dqadd375004 fma 1 1239876543211234567894567890123456 6E-3 -> 1239876543211234567894567890123456 Inexact Rounded +dqadd375005 fma 1 1239876543211234567894567890123456 6E-4 -> 1239876543211234567894567890123456 Inexact Rounded +dqadd375006 fma 1 1239876543211234567894567890123456 6E-5 -> 1239876543211234567894567890123456 Inexact Rounded +dqadd375007 fma 1 1239876543211234567894567890123456 6E-6 -> 1239876543211234567894567890123456 Inexact Rounded +dqadd375008 fma 1 1239876543211234567894567890123456 6E-7 -> 1239876543211234567894567890123456 Inexact Rounded +dqadd375009 fma 1 1239876543211234567894567890123456 6E-8 -> 1239876543211234567894567890123456 Inexact Rounded +dqadd375010 fma 1 1239876543211234567894567890123456 6E-9 -> 1239876543211234567894567890123456 Inexact Rounded +dqadd375011 fma 1 1239876543211234567894567890123456 6E-10 -> 1239876543211234567894567890123456 Inexact Rounded +dqadd375012 fma 1 1239876543211234567894567890123456 6E-11 -> 1239876543211234567894567890123456 Inexact Rounded +dqadd375013 fma 1 1239876543211234567894567890123456 6E-12 -> 1239876543211234567894567890123456 Inexact Rounded +dqadd375014 fma 1 1239876543211234567894567890123456 6E-13 -> 1239876543211234567894567890123456 Inexact Rounded +dqadd375015 fma 1 1239876543211234567894567890123456 6E-14 -> 1239876543211234567894567890123456 Inexact Rounded +dqadd375016 fma 1 1239876543211234567894567890123456 6E-15 -> 1239876543211234567894567890123456 Inexact Rounded +dqadd375017 fma 1 1239876543211234567894567890123456 6E-16 -> 1239876543211234567894567890123456 Inexact Rounded +dqadd375018 fma 1 1239876543211234567894567890123456 6E-17 -> 1239876543211234567894567890123456 Inexact Rounded +dqadd375019 fma 1 1239876543211234567894567890123456 6E-18 -> 1239876543211234567894567890123456 Inexact Rounded +dqadd375020 fma 1 1239876543211234567894567890123456 6E-19 -> 1239876543211234567894567890123456 Inexact Rounded +dqadd375021 fma 1 1239876543211234567894567890123456 6E-20 -> 1239876543211234567894567890123456 Inexact Rounded + +-- widening second argument at gap +dqadd375030 fma 1 12398765432112345678945678 1 -> 12398765432112345678945679 +dqadd375031 fma 1 12398765432112345678945678 0.1 -> 12398765432112345678945678.1 +dqadd375032 fma 1 12398765432112345678945678 0.12 -> 12398765432112345678945678.12 +dqadd375033 fma 1 12398765432112345678945678 0.123 -> 12398765432112345678945678.123 +dqadd375034 fma 1 12398765432112345678945678 0.1234 -> 12398765432112345678945678.1234 +dqadd375035 fma 1 12398765432112345678945678 0.12345 -> 12398765432112345678945678.12345 +dqadd375036 fma 1 12398765432112345678945678 0.123456 -> 12398765432112345678945678.123456 +dqadd375037 fma 1 12398765432112345678945678 0.1234567 -> 12398765432112345678945678.1234567 +dqadd375038 fma 1 12398765432112345678945678 0.12345678 -> 12398765432112345678945678.12345678 +dqadd375039 fma 1 12398765432112345678945678 0.123456789 -> 12398765432112345678945678.12345679 Inexact Rounded +dqadd375040 fma 1 12398765432112345678945678 0.123456785 -> 12398765432112345678945678.12345678 Inexact Rounded +dqadd375041 fma 1 12398765432112345678945678 0.1234567850 -> 12398765432112345678945678.12345678 Inexact Rounded +dqadd375042 fma 1 12398765432112345678945678 0.1234567851 -> 12398765432112345678945678.12345679 Inexact Rounded +dqadd375043 fma 1 12398765432112345678945678 0.12345678501 -> 12398765432112345678945678.12345679 Inexact Rounded +dqadd375044 fma 1 12398765432112345678945678 0.123456785001 -> 12398765432112345678945678.12345679 Inexact Rounded +dqadd375045 fma 1 12398765432112345678945678 0.1234567850001 -> 12398765432112345678945678.12345679 Inexact Rounded +dqadd375046 fma 1 12398765432112345678945678 0.12345678500001 -> 12398765432112345678945678.12345679 Inexact Rounded +dqadd375047 fma 1 12398765432112345678945678 0.123456785000001 -> 12398765432112345678945678.12345679 Inexact Rounded +dqadd375048 fma 1 12398765432112345678945678 0.1234567850000001 -> 12398765432112345678945678.12345679 Inexact Rounded +dqadd375049 fma 1 12398765432112345678945678 0.1234567850000000 -> 12398765432112345678945678.12345678 Inexact Rounded +-- 90123456 +rounding: half_even +dqadd375050 fma 1 12398765432112345678945678 0.0234567750000000 -> 12398765432112345678945678.02345678 Inexact Rounded +dqadd375051 fma 1 12398765432112345678945678 0.0034567750000000 -> 12398765432112345678945678.00345678 Inexact Rounded +dqadd375052 fma 1 12398765432112345678945678 0.0004567750000000 -> 12398765432112345678945678.00045678 Inexact Rounded +dqadd375053 fma 1 12398765432112345678945678 0.0000567750000000 -> 12398765432112345678945678.00005678 Inexact Rounded +dqadd375054 fma 1 12398765432112345678945678 0.0000067750000000 -> 12398765432112345678945678.00000678 Inexact Rounded +dqadd375055 fma 1 12398765432112345678945678 0.0000007750000000 -> 12398765432112345678945678.00000078 Inexact Rounded +dqadd375056 fma 1 12398765432112345678945678 0.0000000750000000 -> 12398765432112345678945678.00000008 Inexact Rounded +dqadd375057 fma 1 12398765432112345678945678 0.0000000050000000 -> 12398765432112345678945678.00000000 Inexact Rounded +dqadd375060 fma 1 12398765432112345678945678 0.0234567750000001 -> 12398765432112345678945678.02345678 Inexact Rounded +dqadd375061 fma 1 12398765432112345678945678 0.0034567750000001 -> 12398765432112345678945678.00345678 Inexact Rounded +dqadd375062 fma 1 12398765432112345678945678 0.0004567750000001 -> 12398765432112345678945678.00045678 Inexact Rounded +dqadd375063 fma 1 12398765432112345678945678 0.0000567750000001 -> 12398765432112345678945678.00005678 Inexact Rounded +dqadd375064 fma 1 12398765432112345678945678 0.0000067750000001 -> 12398765432112345678945678.00000678 Inexact Rounded +dqadd375065 fma 1 12398765432112345678945678 0.0000007750000001 -> 12398765432112345678945678.00000078 Inexact Rounded +dqadd375066 fma 1 12398765432112345678945678 0.0000000750000001 -> 12398765432112345678945678.00000008 Inexact Rounded +dqadd375067 fma 1 12398765432112345678945678 0.0000000050000001 -> 12398765432112345678945678.00000001 Inexact Rounded +-- far-out residues (full coefficient gap is 16+15 digits) +rounding: up +dqadd375070 fma 1 12398765432112345678945678 1E-8 -> 12398765432112345678945678.00000001 +dqadd375071 fma 1 12398765432112345678945678 1E-9 -> 12398765432112345678945678.00000001 Inexact Rounded +dqadd375072 fma 1 12398765432112345678945678 1E-10 -> 12398765432112345678945678.00000001 Inexact Rounded +dqadd375073 fma 1 12398765432112345678945678 1E-11 -> 12398765432112345678945678.00000001 Inexact Rounded +dqadd375074 fma 1 12398765432112345678945678 1E-12 -> 12398765432112345678945678.00000001 Inexact Rounded +dqadd375075 fma 1 12398765432112345678945678 1E-13 -> 12398765432112345678945678.00000001 Inexact Rounded +dqadd375076 fma 1 12398765432112345678945678 1E-14 -> 12398765432112345678945678.00000001 Inexact Rounded +dqadd375077 fma 1 12398765432112345678945678 1E-15 -> 12398765432112345678945678.00000001 Inexact Rounded +dqadd375078 fma 1 12398765432112345678945678 1E-16 -> 12398765432112345678945678.00000001 Inexact Rounded +dqadd375079 fma 1 12398765432112345678945678 1E-17 -> 12398765432112345678945678.00000001 Inexact Rounded +dqadd375080 fma 1 12398765432112345678945678 1E-18 -> 12398765432112345678945678.00000001 Inexact Rounded +dqadd375081 fma 1 12398765432112345678945678 1E-19 -> 12398765432112345678945678.00000001 Inexact Rounded +dqadd375082 fma 1 12398765432112345678945678 1E-20 -> 12398765432112345678945678.00000001 Inexact Rounded +dqadd375083 fma 1 12398765432112345678945678 1E-25 -> 12398765432112345678945678.00000001 Inexact Rounded +dqadd375084 fma 1 12398765432112345678945678 1E-30 -> 12398765432112345678945678.00000001 Inexact Rounded +dqadd375085 fma 1 12398765432112345678945678 1E-31 -> 12398765432112345678945678.00000001 Inexact Rounded +dqadd375086 fma 1 12398765432112345678945678 1E-32 -> 12398765432112345678945678.00000001 Inexact Rounded +dqadd375087 fma 1 12398765432112345678945678 1E-33 -> 12398765432112345678945678.00000001 Inexact Rounded +dqadd375088 fma 1 12398765432112345678945678 1E-34 -> 12398765432112345678945678.00000001 Inexact Rounded +dqadd375089 fma 1 12398765432112345678945678 1E-35 -> 12398765432112345678945678.00000001 Inexact Rounded + +-- Destructive subtract (from remainder tests) + +-- +++ some of these will be off-by-one remainder vs remainderNear + +dqfma4000 fma -1234567890123456789012345678901233 1.000000000000000000000000000000001 1234567890123456789012345678901234 -> -0.234567890123456789012345678901233 +dqfma4001 fma -1234567890123456789012345678901222 1.00000000000000000000000000000001 1234567890123456789012345678901234 -> -0.34567890123456789012345678901222 +dqfma4002 fma -1234567890123456789012345678901111 1.0000000000000000000000000000001 1234567890123456789012345678901234 -> -0.4567890123456789012345678901111 +dqfma4003 fma -308641972530864197253086419725314 4.000000000000000000000000000000001 1234567890123456789012345678901255 -> -1.308641972530864197253086419725314 +dqfma4004 fma -308641972530864197253086419725308 4.000000000000000000000000000000001 1234567890123456789012345678901234 -> 1.691358027469135802746913580274692 +dqfma4005 fma -246913578024691357802469135780252 4.9999999999999999999999999999999 1234567890123456789012345678901234 -> -1.3086421975308642197530864219748 +dqfma4006 fma -246913578024691357802469135780247 4.99999999999999999999999999999999 1234567890123456789012345678901234 -> 1.46913578024691357802469135780247 +dqfma4007 fma -246913578024691357802469135780247 4.999999999999999999999999999999999 1234567890123456789012345678901234 -> -0.753086421975308642197530864219753 +dqfma4008 fma -246913578024691357802469135780247 5.000000000000000000000000000000001 1234567890123456789012345678901234 -> -1.246913578024691357802469135780247 +dqfma4009 fma -246913578024691357802469135780246 5.00000000000000000000000000000001 1234567890123456789012345678901234 -> 1.53086421975308642197530864219754 +dqfma4010 fma -246913578024691357802469135780242 5.0000000000000000000000000000001 1234567890123456789012345678901234 -> -0.6913578024691357802469135780242 +dqfma4011 fma -1234567890123456789012345678901232 1.000000000000000000000000000000001 1234567890123456789012345678901234 -> 0.765432109876543210987654321098768 +dqfma4012 fma -1234567890123456789012345678901221 1.00000000000000000000000000000001 1234567890123456789012345678901234 -> 0.65432109876543210987654321098779 +dqfma4013 fma -1234567890123456789012345678901110 1.0000000000000000000000000000001 1234567890123456789012345678901234 -> 0.5432109876543210987654321098890 +dqfma4014 fma -308641972530864197253086419725313 4.000000000000000000000000000000001 1234567890123456789012345678901255 -> 2.691358027469135802746913580274687 +dqfma4015 fma -308641972530864197253086419725308 4.000000000000000000000000000000001 1234567890123456789012345678901234 -> 1.691358027469135802746913580274692 +dqfma4016 fma -246913578024691357802469135780251 4.9999999999999999999999999999999 1234567890123456789012345678901234 -> 3.6913578024691357802469135780251 +dqfma4017 fma -246913578024691357802469135780247 4.99999999999999999999999999999999 1234567890123456789012345678901234 -> 1.46913578024691357802469135780247 +dqfma4018 fma -246913578024691357802469135780246 4.999999999999999999999999999999999 1234567890123456789012345678901234 -> 4.246913578024691357802469135780246 +dqfma4019 fma -246913578024691357802469135780241 5.0000000000000000000000000000001 1234567890123456789012345678901234 -> 4.3086421975308642197530864219759 + +-- Null tests +dqadd39990 fma 1 10 # -> NaN Invalid_operation +dqadd39991 fma 1 # 10 -> NaN Invalid_operation + + |