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Diffstat (limited to 'lib/python2.7/test/decimaltestdata/fma.decTest')
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diff --git a/lib/python2.7/test/decimaltestdata/fma.decTest b/lib/python2.7/test/decimaltestdata/fma.decTest new file mode 100644 index 0000000..a8197ef --- /dev/null +++ b/lib/python2.7/test/decimaltestdata/fma.decTest @@ -0,0 +1,3426 @@ +------------------------------------------------------------------------ +-- fma.decTest -- decimal 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 +precision: 9 +rounding: half_up +maxExponent: 384 +minexponent: -383 + +-- 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 +fmax0001 fma 1 1 1 -> 2 +fmax0002 fma 1 1 2 -> 3 +fmax0003 fma 2 2 3 -> 7 +fmax0004 fma 9 9 9 -> 90 +fmax0005 fma -1 1 1 -> 0 +fmax0006 fma -1 1 2 -> 1 +fmax0007 fma -2 2 3 -> -1 +fmax0008 fma -9 9 9 -> -72 +fmax0011 fma 1 -1 1 -> 0 +fmax0012 fma 1 -1 2 -> 1 +fmax0013 fma 2 -2 3 -> -1 +fmax0014 fma 9 -9 9 -> -72 +fmax0015 fma 1 1 -1 -> 0 +fmax0016 fma 1 1 -2 -> -1 +fmax0017 fma 2 2 -3 -> 1 +fmax0018 fma 9 9 -9 -> 72 +fmax0019 fma 3 5 7 -> 22 +fmax0029 fma 3 -5 7 -> -8 + +-- non-integer exacts +fma0100 fma 25.2 63.6 -438 -> 1164.72 +fma0101 fma 0.301 0.380 334 -> 334.114380 +fma0102 fma 49.2 -4.8 23.3 -> -212.86 +fma0103 fma 4.22 0.079 -94.6 -> -94.26662 +fma0104 fma 903 0.797 0.887 -> 720.578 +fma0105 fma 6.13 -161 65.9 -> -921.03 +fma0106 fma 28.2 727 5.45 -> 20506.85 +fma0107 fma 4 605 688 -> 3108 +fma0108 fma 93.3 0.19 0.226 -> 17.953 +fma0109 fma 0.169 -341 5.61 -> -52.019 +fma0110 fma -72.2 30 -51.2 -> -2217.2 +fma0111 fma -0.409 13 20.4 -> 15.083 +fma0112 fma 317 77.0 19.0 -> 24428.0 +fma0113 fma 47 6.58 1.62 -> 310.88 +fma0114 fma 1.36 0.984 0.493 -> 1.83124 +fma0115 fma 72.7 274 1.56 -> 19921.36 +fma0116 fma 335 847 83 -> 283828 +fma0117 fma 666 0.247 25.4 -> 189.902 +fma0118 fma -3.87 3.06 78.0 -> 66.1578 +fma0119 fma 0.742 192 35.6 -> 178.064 +fma0120 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] +-- 888565290 1557.96930 -86087.7578 -> 1.38435735E+12 +fma0201 fma 888565290 1557.96930 -86087.7578 -> 1.38435736E+12 Inexact Rounded +-- -85519342.9 735155419 42010431 -> -6.28700084E+16 +fma0205 fma -85519342.9 735155419 42010431 -> -6.28700083E+16 Inexact Rounded +-- -98025.5 -294603.472 10414348.2 -> 2.88890669E+10 +fma0208 fma -98025.5 -294603.472 10414348.2 -> 2.88890670E+10 Inexact Rounded +-- 5967627.39 83526540.6 498494.810 -> 4.98455271E+14 +fma0211 fma 5967627.39 83526540.6 498494.810 -> 4.98455272E+14 Inexact Rounded +-- 3456.9433 874.39518 197866.615 -> 3220601.18 +fma0216 fma 3456.9433 874.39518 197866.615 -> 3220601.17 Inexact Rounded +-- 62769.8287 2096.98927 48.420317 -> 131627705 +fma0218 fma 62769.8287 2096.98927 48.420317 -> 131627706 Inexact Rounded +-- -68.81500 59961113.9 -8988862 -> -4.13521291E+9 +fma0219 fma -68.81500 59961113.9 -8988862 -> -4.13521292E+9 Inexact Rounded +-- 2126341.02 63491.5152 302427455 -> 1.35307040E+11 +fma0226 fma 2126341.02 63491.5152 302427455 -> 1.35307041E+11 Inexact Rounded + + +-- Infinite combinations +fmax0800 fma Inf Inf Inf -> Infinity +fmax0801 fma Inf Inf -Inf -> NaN Invalid_operation +fmax0802 fma Inf -Inf Inf -> NaN Invalid_operation +fmax0803 fma Inf -Inf -Inf -> -Infinity +fmax0804 fma -Inf Inf Inf -> NaN Invalid_operation +fmax0805 fma -Inf Inf -Inf -> -Infinity +fmax0806 fma -Inf -Inf Inf -> Infinity +fmax0807 fma -Inf -Inf -Inf -> NaN Invalid_operation +fmax0808 fma -Inf 0 1 -> NaN Invalid_operation +fmax0809 fma -Inf 0 NaN -> NaN Invalid_operation + +-- Triple NaN propagation +fmax0900 fma NaN2 NaN3 NaN5 -> NaN2 +fmax0901 fma 0 NaN3 NaN5 -> NaN3 +fmax0902 fma 0 0 NaN5 -> NaN5 +-- first sNaN wins (consider qNaN from earlier sNaN being +-- overridden by an sNaN in third operand) +fmax0903 fma sNaN1 sNaN2 sNaN3 -> NaN1 Invalid_operation +fmax0904 fma 0 sNaN2 sNaN3 -> NaN2 Invalid_operation +fmax0905 fma 0 0 sNaN3 -> NaN3 Invalid_operation +fmax0906 fma sNaN1 sNaN2 sNaN3 -> NaN1 Invalid_operation +fmax0907 fma NaN7 sNaN2 sNaN3 -> NaN2 Invalid_operation +fmax0908 fma NaN7 NaN5 sNaN3 -> NaN3 Invalid_operation + +-- MULTIPLICATION TESTS ------------------------------------------------ +-- sanity checks (as base, above) +fmax2000 fma 2 2 0E+999999 -> 4 +fmax2001 fma 2 3 0E+999999 -> 6 +fmax2002 fma 5 1 0E+999999 -> 5 +fmax2003 fma 5 2 0E+999999 -> 10 +fmax2004 fma 1.20 2 0E+999999 -> 2.40 +fmax2005 fma 1.20 0 0E+999999 -> 0.00 +fmax2006 fma 1.20 -2 0E+999999 -> -2.40 +fmax2007 fma -1.20 2 0E+999999 -> -2.40 +fmax2008 fma -1.20 0 0E+999999 -> 0.00 +fmax2009 fma -1.20 -2 0E+999999 -> 2.40 +fmax2010 fma 5.09 7.1 0E+999999 -> 36.139 +fmax2011 fma 2.5 4 0E+999999 -> 10.0 +fmax2012 fma 2.50 4 0E+999999 -> 10.00 +fmax2013 fma 1.23456789 1.00000000 0E+999999 -> 1.23456789 Rounded +fmax2014 fma 9.999999999 9.999999999 0E+999999 -> 100.000000 Inexact Rounded +fmax2015 fma 2.50 4 0E+999999 -> 10.00 +precision: 6 +fmax2016 fma 2.50 4 0E+999999 -> 10.00 +fmax2017 fma 9.999999 9.999999 0E+999999 -> 100.000 Inexact Rounded +fmax2018 fma 9.999999 -9.999999 0E+999999 -> -100.000 Inexact Rounded +fmax2019 fma -9.999999 9.999999 0E+999999 -> -100.000 Inexact Rounded +fmax2020 fma -9.999999 -9.999999 0E+999999 -> 100.000 Inexact Rounded + +-- 1999.12.21: next one is a edge case if intermediate longs are used +precision: 15 +fmax2059 fma 999999999999 9765625 0E+999999 -> 9.76562499999023E+18 Inexact Rounded +precision: 30 +fmax2160 fma 999999999999 9765625 0E+999999 -> 9765624999990234375 +precision: 9 +----- + +-- zeros, etc. +fmax2021 fma 0 0 0E+999999 -> 0 +fmax2022 fma 0 -0 0E+999999 -> 0 +fmax2023 fma -0 0 0E+999999 -> 0 +fmax2024 fma -0 -0 0E+999999 -> 0 +fmax2025 fma -0.0 -0.0 0E+999999 -> 0.00 +fmax2026 fma -0.0 -0.0 0E+999999 -> 0.00 +fmax2027 fma -0.0 -0.0 0E+999999 -> 0.00 +fmax2028 fma -0.0 -0.0 0E+999999 -> 0.00 +fmax2030 fma 5.00 1E-3 0E+999999 -> 0.00500 +fmax2031 fma 00.00 0.000 0E+999999 -> 0.00000 +fmax2032 fma 00.00 0E-3 0E+999999 -> 0.00000 -- rhs is 0 +fmax2033 fma 0E-3 00.00 0E+999999 -> 0.00000 -- lhs is 0 +fmax2034 fma -5.00 1E-3 0E+999999 -> -0.00500 +fmax2035 fma -00.00 0.000 0E+999999 -> 0.00000 +fmax2036 fma -00.00 0E-3 0E+999999 -> 0.00000 -- rhs is 0 +fmax2037 fma -0E-3 00.00 0E+999999 -> 0.00000 -- lhs is 0 +fmax2038 fma 5.00 -1E-3 0E+999999 -> -0.00500 +fmax2039 fma 00.00 -0.000 0E+999999 -> 0.00000 +fmax2040 fma 00.00 -0E-3 0E+999999 -> 0.00000 -- rhs is 0 +fmax2041 fma 0E-3 -00.00 0E+999999 -> 0.00000 -- lhs is 0 +fmax2042 fma -5.00 -1E-3 0E+999999 -> 0.00500 +fmax2043 fma -00.00 -0.000 0E+999999 -> 0.00000 +fmax2044 fma -00.00 -0E-3 0E+999999 -> 0.00000 -- rhs is 0 +fmax2045 fma -0E-3 -00.00 0E+999999 -> 0.00000 -- lhs is 0 + +-- examples from decarith multiply +fmax2050 fma 1.20 3 0E+999999 -> 3.60 +fmax2051 fma 7 3 0E+999999 -> 21 +fmax2052 fma 0.9 0.8 0E+999999 -> 0.72 +fmax2053 fma 0.9 -0 0E+999999 -> 0.0 +fmax2054 fma 654321 654321 0E+999999 -> 4.28135971E+11 Inexact Rounded + +fmax2060 fma 123.45 1e7 0E+999999 -> 1.2345E+9 +fmax2061 fma 123.45 1e8 0E+999999 -> 1.2345E+10 +fmax2062 fma 123.45 1e+9 0E+999999 -> 1.2345E+11 +fmax2063 fma 123.45 1e10 0E+999999 -> 1.2345E+12 +fmax2064 fma 123.45 1e11 0E+999999 -> 1.2345E+13 +fmax2065 fma 123.45 1e12 0E+999999 -> 1.2345E+14 +fmax2066 fma 123.45 1e13 0E+999999 -> 1.2345E+15 + + +-- test some intermediate lengths +precision: 9 +fmax2080 fma 0.1 123456789 0E+999999 -> 12345678.9 +fmax2081 fma 0.1 1234567891 0E+999999 -> 123456789 Inexact Rounded +fmax2082 fma 0.1 12345678912 0E+999999 -> 1.23456789E+9 Inexact Rounded +fmax2083 fma 0.1 12345678912345 0E+999999 -> 1.23456789E+12 Inexact Rounded +fmax2084 fma 0.1 123456789 0E+999999 -> 12345678.9 +precision: 8 +fmax2085 fma 0.1 12345678912 0E+999999 -> 1.2345679E+9 Inexact Rounded +fmax2086 fma 0.1 12345678912345 0E+999999 -> 1.2345679E+12 Inexact Rounded +precision: 7 +fmax2087 fma 0.1 12345678912 0E+999999 -> 1.234568E+9 Inexact Rounded +fmax2088 fma 0.1 12345678912345 0E+999999 -> 1.234568E+12 Inexact Rounded + +precision: 9 +fmax2090 fma 123456789 0.1 0E+999999 -> 12345678.9 +fmax2091 fma 1234567891 0.1 0E+999999 -> 123456789 Inexact Rounded +fmax2092 fma 12345678912 0.1 0E+999999 -> 1.23456789E+9 Inexact Rounded +fmax2093 fma 12345678912345 0.1 0E+999999 -> 1.23456789E+12 Inexact Rounded +fmax2094 fma 123456789 0.1 0E+999999 -> 12345678.9 +precision: 8 +fmax2095 fma 12345678912 0.1 0E+999999 -> 1.2345679E+9 Inexact Rounded +fmax2096 fma 12345678912345 0.1 0E+999999 -> 1.2345679E+12 Inexact Rounded +precision: 7 +fmax2097 fma 12345678912 0.1 0E+999999 -> 1.234568E+9 Inexact Rounded +fmax2098 fma 12345678912345 0.1 0E+999999 -> 1.234568E+12 Inexact Rounded + +-- test some more edge cases and carries +maxexponent: 9999 +minexponent: -9999 +precision: 33 +fmax2101 fma 9 9 0E+999999 -> 81 +fmax2102 fma 9 90 0E+999999 -> 810 +fmax2103 fma 9 900 0E+999999 -> 8100 +fmax2104 fma 9 9000 0E+999999 -> 81000 +fmax2105 fma 9 90000 0E+999999 -> 810000 +fmax2106 fma 9 900000 0E+999999 -> 8100000 +fmax2107 fma 9 9000000 0E+999999 -> 81000000 +fmax2108 fma 9 90000000 0E+999999 -> 810000000 +fmax2109 fma 9 900000000 0E+999999 -> 8100000000 +fmax2110 fma 9 9000000000 0E+999999 -> 81000000000 +fmax2111 fma 9 90000000000 0E+999999 -> 810000000000 +fmax2112 fma 9 900000000000 0E+999999 -> 8100000000000 +fmax2113 fma 9 9000000000000 0E+999999 -> 81000000000000 +fmax2114 fma 9 90000000000000 0E+999999 -> 810000000000000 +fmax2115 fma 9 900000000000000 0E+999999 -> 8100000000000000 +fmax2116 fma 9 9000000000000000 0E+999999 -> 81000000000000000 +fmax2117 fma 9 90000000000000000 0E+999999 -> 810000000000000000 +fmax2118 fma 9 900000000000000000 0E+999999 -> 8100000000000000000 +fmax2119 fma 9 9000000000000000000 0E+999999 -> 81000000000000000000 +fmax2120 fma 9 90000000000000000000 0E+999999 -> 810000000000000000000 +fmax2121 fma 9 900000000000000000000 0E+999999 -> 8100000000000000000000 +fmax2122 fma 9 9000000000000000000000 0E+999999 -> 81000000000000000000000 +fmax2123 fma 9 90000000000000000000000 0E+999999 -> 810000000000000000000000 +-- test some more edge cases without carries +fmax2131 fma 3 3 0E+999999 -> 9 +fmax2132 fma 3 30 0E+999999 -> 90 +fmax2133 fma 3 300 0E+999999 -> 900 +fmax2134 fma 3 3000 0E+999999 -> 9000 +fmax2135 fma 3 30000 0E+999999 -> 90000 +fmax2136 fma 3 300000 0E+999999 -> 900000 +fmax2137 fma 3 3000000 0E+999999 -> 9000000 +fmax2138 fma 3 30000000 0E+999999 -> 90000000 +fmax2139 fma 3 300000000 0E+999999 -> 900000000 +fmax2140 fma 3 3000000000 0E+999999 -> 9000000000 +fmax2141 fma 3 30000000000 0E+999999 -> 90000000000 +fmax2142 fma 3 300000000000 0E+999999 -> 900000000000 +fmax2143 fma 3 3000000000000 0E+999999 -> 9000000000000 +fmax2144 fma 3 30000000000000 0E+999999 -> 90000000000000 +fmax2145 fma 3 300000000000000 0E+999999 -> 900000000000000 +fmax2146 fma 3 3000000000000000 0E+999999 -> 9000000000000000 +fmax2147 fma 3 30000000000000000 0E+999999 -> 90000000000000000 +fmax2148 fma 3 300000000000000000 0E+999999 -> 900000000000000000 +fmax2149 fma 3 3000000000000000000 0E+999999 -> 9000000000000000000 +fmax2150 fma 3 30000000000000000000 0E+999999 -> 90000000000000000000 +fmax2151 fma 3 300000000000000000000 0E+999999 -> 900000000000000000000 +fmax2152 fma 3 3000000000000000000000 0E+999999 -> 9000000000000000000000 +fmax2153 fma 3 30000000000000000000000 0E+999999 -> 90000000000000000000000 + +maxexponent: 999999 +minexponent: -999999 +precision: 9 +-- test some cases that are close to exponent overflow/underflow +fmax2170 fma 1 9e999999 0E+999999 -> 9E+999999 +fmax2171 fma 1 9.9e999999 0E+999999 -> 9.9E+999999 +fmax2172 fma 1 9.99e999999 0E+999999 -> 9.99E+999999 +fmax2173 fma 9e999999 1 0E+999999 -> 9E+999999 +fmax2174 fma 9.9e999999 1 0E+999999 -> 9.9E+999999 +fmax2176 fma 9.99e999999 1 0E+999999 -> 9.99E+999999 +fmax2177 fma 1 9.99999e999999 0E+999999 -> 9.99999E+999999 +fmax2178 fma 9.99999e999999 1 0E+999999 -> 9.99999E+999999 + +fmax2180 fma 0.1 9e-999998 0E+999999 -> 9E-999999 +fmax2181 fma 0.1 99e-999998 0E+999999 -> 9.9E-999998 +fmax2182 fma 0.1 999e-999998 0E+999999 -> 9.99E-999997 + +fmax2183 fma 0.1 9e-999998 0E+999999 -> 9E-999999 +fmax2184 fma 0.1 99e-999998 0E+999999 -> 9.9E-999998 +fmax2185 fma 0.1 999e-999998 0E+999999 -> 9.99E-999997 +fmax2186 fma 0.1 999e-999997 0E+999999 -> 9.99E-999996 +fmax2187 fma 0.1 9999e-999997 0E+999999 -> 9.999E-999995 +fmax2188 fma 0.1 99999e-999997 0E+999999 -> 9.9999E-999994 + +fmax2190 fma 1 9e-999998 0E+999999 -> 9E-999998 +fmax2191 fma 1 99e-999998 0E+999999 -> 9.9E-999997 +fmax2192 fma 1 999e-999998 0E+999999 -> 9.99E-999996 +fmax2193 fma 9e-999998 1 0E+999999 -> 9E-999998 +fmax2194 fma 99e-999998 1 0E+999999 -> 9.9E-999997 +fmax2195 fma 999e-999998 1 0E+999999 -> 9.99E-999996 + +-- long operand triangle +precision: 33 +fmax2246 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.290801193369671916511992830 Inexact Rounded +precision: 32 +fmax2247 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.29080119336967191651199283 Inexact Rounded +precision: 31 +fmax2248 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.2908011933696719165119928 Inexact Rounded +precision: 30 +fmax2249 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.290801193369671916511993 Inexact Rounded +precision: 29 +fmax2250 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.29080119336967191651199 Inexact Rounded +precision: 28 +fmax2251 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.2908011933696719165120 Inexact Rounded +precision: 27 +fmax2252 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.290801193369671916512 Inexact Rounded +precision: 26 +fmax2253 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.29080119336967191651 Inexact Rounded +precision: 25 +fmax2254 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.2908011933696719165 Inexact Rounded +precision: 24 +fmax2255 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.290801193369671917 Inexact Rounded +precision: 23 +fmax2256 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.29080119336967192 Inexact Rounded +precision: 22 +fmax2257 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.2908011933696719 Inexact Rounded +precision: 21 +fmax2258 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.290801193369672 Inexact Rounded +precision: 20 +fmax2259 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.29080119336967 Inexact Rounded +precision: 19 +fmax2260 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.2908011933697 Inexact Rounded +precision: 18 +fmax2261 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.290801193370 Inexact Rounded +precision: 17 +fmax2262 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.29080119337 Inexact Rounded +precision: 16 +fmax2263 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.2908011934 Inexact Rounded +precision: 15 +fmax2264 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.290801193 Inexact Rounded +precision: 14 +fmax2265 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.29080119 Inexact Rounded +precision: 13 +fmax2266 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.2908012 Inexact Rounded +precision: 12 +fmax2267 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.290801 Inexact Rounded +precision: 11 +fmax2268 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.29080 Inexact Rounded +precision: 10 +fmax2269 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.2908 Inexact Rounded +precision: 9 +fmax2270 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.291 Inexact Rounded +precision: 8 +fmax2271 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.29 Inexact Rounded +precision: 7 +fmax2272 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.3 Inexact Rounded +precision: 6 +fmax2273 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433 Inexact Rounded +precision: 5 +fmax2274 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 1.4543E+5 Inexact Rounded +precision: 4 +fmax2275 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 1.454E+5 Inexact Rounded +precision: 3 +fmax2276 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 1.45E+5 Inexact Rounded +precision: 2 +fmax2277 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 1.5E+5 Inexact Rounded +precision: 1 +fmax2278 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 1E+5 Inexact Rounded + +-- test some edge cases with exact rounding +maxexponent: 9999 +minexponent: -9999 +precision: 9 +fmax2301 fma 9 9 0E+999999 -> 81 +fmax2302 fma 9 90 0E+999999 -> 810 +fmax2303 fma 9 900 0E+999999 -> 8100 +fmax2304 fma 9 9000 0E+999999 -> 81000 +fmax2305 fma 9 90000 0E+999999 -> 810000 +fmax2306 fma 9 900000 0E+999999 -> 8100000 +fmax2307 fma 9 9000000 0E+999999 -> 81000000 +fmax2308 fma 9 90000000 0E+999999 -> 810000000 +fmax2309 fma 9 900000000 0E+999999 -> 8.10000000E+9 Rounded +fmax2310 fma 9 9000000000 0E+999999 -> 8.10000000E+10 Rounded +fmax2311 fma 9 90000000000 0E+999999 -> 8.10000000E+11 Rounded +fmax2312 fma 9 900000000000 0E+999999 -> 8.10000000E+12 Rounded +fmax2313 fma 9 9000000000000 0E+999999 -> 8.10000000E+13 Rounded +fmax2314 fma 9 90000000000000 0E+999999 -> 8.10000000E+14 Rounded +fmax2315 fma 9 900000000000000 0E+999999 -> 8.10000000E+15 Rounded +fmax2316 fma 9 9000000000000000 0E+999999 -> 8.10000000E+16 Rounded +fmax2317 fma 9 90000000000000000 0E+999999 -> 8.10000000E+17 Rounded +fmax2318 fma 9 900000000000000000 0E+999999 -> 8.10000000E+18 Rounded +fmax2319 fma 9 9000000000000000000 0E+999999 -> 8.10000000E+19 Rounded +fmax2320 fma 9 90000000000000000000 0E+999999 -> 8.10000000E+20 Rounded +fmax2321 fma 9 900000000000000000000 0E+999999 -> 8.10000000E+21 Rounded +fmax2322 fma 9 9000000000000000000000 0E+999999 -> 8.10000000E+22 Rounded +fmax2323 fma 9 90000000000000000000000 0E+999999 -> 8.10000000E+23 Rounded + +-- fastpath breakers +precision: 29 +fmax2330 fma 1.491824697641270317824852952837224 1.105170918075647624811707826490246514675628614562883537345747603 0E+999999 -> 1.6487212707001281468486507878 Inexact Rounded +precision: 55 +fmax2331 fma 0.8958341352965282506768545828765117803873717284891040428 0.8958341352965282506768545828765117803873717284891040428 0E+999999 -> 0.8025187979624784829842553829934069955890983696752228299 Inexact Rounded + + +-- tryzeros cases +precision: 7 +rounding: half_up +maxExponent: 92 +minexponent: -92 +fmax2504 fma 0E-60 1000E-60 0E+999999 -> 0E-98 Clamped +fmax2505 fma 100E+60 0E+60 0E+999999 -> 0E+92 Clamped + +-- mixed with zeros +maxexponent: 999999 +minexponent: -999999 +precision: 9 +fmax2541 fma 0 -1 0E+999999 -> 0 +fmax2542 fma -0 -1 0E+999999 -> 0 +fmax2543 fma 0 1 0E+999999 -> 0 +fmax2544 fma -0 1 0E+999999 -> 0 +fmax2545 fma -1 0 0E+999999 -> 0 +fmax2546 fma -1 -0 0E+999999 -> 0 +fmax2547 fma 1 0 0E+999999 -> 0 +fmax2548 fma 1 -0 0E+999999 -> 0 + +fmax2551 fma 0.0 -1 0E+999999 -> 0.0 +fmax2552 fma -0.0 -1 0E+999999 -> 0.0 +fmax2553 fma 0.0 1 0E+999999 -> 0.0 +fmax2554 fma -0.0 1 0E+999999 -> 0.0 +fmax2555 fma -1.0 0 0E+999999 -> 0.0 +fmax2556 fma -1.0 -0 0E+999999 -> 0.0 +fmax2557 fma 1.0 0 0E+999999 -> 0.0 +fmax2558 fma 1.0 -0 0E+999999 -> 0.0 + +fmax2561 fma 0 -1.0 0E+999999 -> 0.0 +fmax2562 fma -0 -1.0 0E+999999 -> 0.0 +fmax2563 fma 0 1.0 0E+999999 -> 0.0 +fmax2564 fma -0 1.0 0E+999999 -> 0.0 +fmax2565 fma -1 0.0 0E+999999 -> 0.0 +fmax2566 fma -1 -0.0 0E+999999 -> 0.0 +fmax2567 fma 1 0.0 0E+999999 -> 0.0 +fmax2568 fma 1 -0.0 0E+999999 -> 0.0 + +fmax2571 fma 0.0 -1.0 0E+999999 -> 0.00 +fmax2572 fma -0.0 -1.0 0E+999999 -> 0.00 +fmax2573 fma 0.0 1.0 0E+999999 -> 0.00 +fmax2574 fma -0.0 1.0 0E+999999 -> 0.00 +fmax2575 fma -1.0 0.0 0E+999999 -> 0.00 +fmax2576 fma -1.0 -0.0 0E+999999 -> 0.00 +fmax2577 fma 1.0 0.0 0E+999999 -> 0.00 +fmax2578 fma 1.0 -0.0 0E+999999 -> 0.00 + + +-- Specials +fmax2580 fma Inf -Inf 0E+999999 -> -Infinity +fmax2581 fma Inf -1000 0E+999999 -> -Infinity +fmax2582 fma Inf -1 0E+999999 -> -Infinity +fmax2583 fma Inf -0 0E+999999 -> NaN Invalid_operation +fmax2584 fma Inf 0 0E+999999 -> NaN Invalid_operation +fmax2585 fma Inf 1 0E+999999 -> Infinity +fmax2586 fma Inf 1000 0E+999999 -> Infinity +fmax2587 fma Inf Inf 0E+999999 -> Infinity +fmax2588 fma -1000 Inf 0E+999999 -> -Infinity +fmax2589 fma -Inf Inf 0E+999999 -> -Infinity +fmax2590 fma -1 Inf 0E+999999 -> -Infinity +fmax2591 fma -0 Inf 0E+999999 -> NaN Invalid_operation +fmax2592 fma 0 Inf 0E+999999 -> NaN Invalid_operation +fmax2593 fma 1 Inf 0E+999999 -> Infinity +fmax2594 fma 1000 Inf 0E+999999 -> Infinity +fmax2595 fma Inf Inf 0E+999999 -> Infinity + +fmax2600 fma -Inf -Inf 0E+999999 -> Infinity +fmax2601 fma -Inf -1000 0E+999999 -> Infinity +fmax2602 fma -Inf -1 0E+999999 -> Infinity +fmax2603 fma -Inf -0 0E+999999 -> NaN Invalid_operation +fmax2604 fma -Inf 0 0E+999999 -> NaN Invalid_operation +fmax2605 fma -Inf 1 0E+999999 -> -Infinity +fmax2606 fma -Inf 1000 0E+999999 -> -Infinity +fmax2607 fma -Inf Inf 0E+999999 -> -Infinity +fmax2608 fma -1000 Inf 0E+999999 -> -Infinity +fmax2609 fma -Inf -Inf 0E+999999 -> Infinity +fmax2610 fma -1 -Inf 0E+999999 -> Infinity +fmax2611 fma -0 -Inf 0E+999999 -> NaN Invalid_operation +fmax2612 fma 0 -Inf 0E+999999 -> NaN Invalid_operation +fmax2613 fma 1 -Inf 0E+999999 -> -Infinity +fmax2614 fma 1000 -Inf 0E+999999 -> -Infinity +fmax2615 fma Inf -Inf 0E+999999 -> -Infinity + +fmax2621 fma NaN -Inf 0E+999999 -> NaN +fmax2622 fma NaN -1000 0E+999999 -> NaN +fmax2623 fma NaN -1 0E+999999 -> NaN +fmax2624 fma NaN -0 0E+999999 -> NaN +fmax2625 fma NaN 0 0E+999999 -> NaN +fmax2626 fma NaN 1 0E+999999 -> NaN +fmax2627 fma NaN 1000 0E+999999 -> NaN +fmax2628 fma NaN Inf 0E+999999 -> NaN +fmax2629 fma NaN NaN 0E+999999 -> NaN +fmax2630 fma -Inf NaN 0E+999999 -> NaN +fmax2631 fma -1000 NaN 0E+999999 -> NaN +fmax2632 fma -1 NaN 0E+999999 -> NaN +fmax2633 fma -0 NaN 0E+999999 -> NaN +fmax2634 fma 0 NaN 0E+999999 -> NaN +fmax2635 fma 1 NaN 0E+999999 -> NaN +fmax2636 fma 1000 NaN 0E+999999 -> NaN +fmax2637 fma Inf NaN 0E+999999 -> NaN + +fmax2641 fma sNaN -Inf 0E+999999 -> NaN Invalid_operation +fmax2642 fma sNaN -1000 0E+999999 -> NaN Invalid_operation +fmax2643 fma sNaN -1 0E+999999 -> NaN Invalid_operation +fmax2644 fma sNaN -0 0E+999999 -> NaN Invalid_operation +fmax2645 fma sNaN 0 0E+999999 -> NaN Invalid_operation +fmax2646 fma sNaN 1 0E+999999 -> NaN Invalid_operation +fmax2647 fma sNaN 1000 0E+999999 -> NaN Invalid_operation +fmax2648 fma sNaN NaN 0E+999999 -> NaN Invalid_operation +fmax2649 fma sNaN sNaN 0E+999999 -> NaN Invalid_operation +fmax2650 fma NaN sNaN 0E+999999 -> NaN Invalid_operation +fmax2651 fma -Inf sNaN 0E+999999 -> NaN Invalid_operation +fmax2652 fma -1000 sNaN 0E+999999 -> NaN Invalid_operation +fmax2653 fma -1 sNaN 0E+999999 -> NaN Invalid_operation +fmax2654 fma -0 sNaN 0E+999999 -> NaN Invalid_operation +fmax2655 fma 0 sNaN 0E+999999 -> NaN Invalid_operation +fmax2656 fma 1 sNaN 0E+999999 -> NaN Invalid_operation +fmax2657 fma 1000 sNaN 0E+999999 -> NaN Invalid_operation +fmax2658 fma Inf sNaN 0E+999999 -> NaN Invalid_operation +fmax2659 fma NaN sNaN 0E+999999 -> NaN Invalid_operation + +-- propagating NaNs +fmax2661 fma NaN9 -Inf 0E+999999 -> NaN9 +fmax2662 fma NaN8 999 0E+999999 -> NaN8 +fmax2663 fma NaN71 Inf 0E+999999 -> NaN71 +fmax2664 fma NaN6 NaN5 0E+999999 -> NaN6 +fmax2665 fma -Inf NaN4 0E+999999 -> NaN4 +fmax2666 fma -999 NaN33 0E+999999 -> NaN33 +fmax2667 fma Inf NaN2 0E+999999 -> NaN2 + +fmax2671 fma sNaN99 -Inf 0E+999999 -> NaN99 Invalid_operation +fmax2672 fma sNaN98 -11 0E+999999 -> NaN98 Invalid_operation +fmax2673 fma sNaN97 NaN 0E+999999 -> NaN97 Invalid_operation +fmax2674 fma sNaN16 sNaN94 0E+999999 -> NaN16 Invalid_operation +fmax2675 fma NaN95 sNaN93 0E+999999 -> NaN93 Invalid_operation +fmax2676 fma -Inf sNaN92 0E+999999 -> NaN92 Invalid_operation +fmax2677 fma 088 sNaN91 0E+999999 -> NaN91 Invalid_operation +fmax2678 fma Inf sNaN90 0E+999999 -> NaN90 Invalid_operation +fmax2679 fma NaN sNaN89 0E+999999 -> NaN89 Invalid_operation + +fmax2681 fma -NaN9 -Inf 0E+999999 -> -NaN9 +fmax2682 fma -NaN8 999 0E+999999 -> -NaN8 +fmax2683 fma -NaN71 Inf 0E+999999 -> -NaN71 +fmax2684 fma -NaN6 -NaN5 0E+999999 -> -NaN6 +fmax2685 fma -Inf -NaN4 0E+999999 -> -NaN4 +fmax2686 fma -999 -NaN33 0E+999999 -> -NaN33 +fmax2687 fma Inf -NaN2 0E+999999 -> -NaN2 + +fmax2691 fma -sNaN99 -Inf 0E+999999 -> -NaN99 Invalid_operation +fmax2692 fma -sNaN98 -11 0E+999999 -> -NaN98 Invalid_operation +fmax2693 fma -sNaN97 NaN 0E+999999 -> -NaN97 Invalid_operation +fmax2694 fma -sNaN16 -sNaN94 0E+999999 -> -NaN16 Invalid_operation +fmax2695 fma -NaN95 -sNaN93 0E+999999 -> -NaN93 Invalid_operation +fmax2696 fma -Inf -sNaN92 0E+999999 -> -NaN92 Invalid_operation +fmax2697 fma 088 -sNaN91 0E+999999 -> -NaN91 Invalid_operation +fmax2698 fma Inf -sNaN90 0E+999999 -> -NaN90 Invalid_operation +fmax2699 fma -NaN -sNaN89 0E+999999 -> -NaN89 Invalid_operation + +fmax2701 fma -NaN -Inf 0E+999999 -> -NaN +fmax2702 fma -NaN 999 0E+999999 -> -NaN +fmax2703 fma -NaN Inf 0E+999999 -> -NaN +fmax2704 fma -NaN -NaN 0E+999999 -> -NaN +fmax2705 fma -Inf -NaN0 0E+999999 -> -NaN +fmax2706 fma -999 -NaN 0E+999999 -> -NaN +fmax2707 fma Inf -NaN 0E+999999 -> -NaN + +fmax2711 fma -sNaN -Inf 0E+999999 -> -NaN Invalid_operation +fmax2712 fma -sNaN -11 0E+999999 -> -NaN Invalid_operation +fmax2713 fma -sNaN00 NaN 0E+999999 -> -NaN Invalid_operation +fmax2714 fma -sNaN -sNaN 0E+999999 -> -NaN Invalid_operation +fmax2715 fma -NaN -sNaN 0E+999999 -> -NaN Invalid_operation +fmax2716 fma -Inf -sNaN 0E+999999 -> -NaN Invalid_operation +fmax2717 fma 088 -sNaN 0E+999999 -> -NaN Invalid_operation +fmax2718 fma Inf -sNaN 0E+999999 -> -NaN Invalid_operation +fmax2719 fma -NaN -sNaN 0E+999999 -> -NaN Invalid_operation + +-- overflow and underflow tests .. note subnormal results +maxexponent: 999999 +minexponent: -999999 +fmax2730 fma +1.23456789012345E-0 9E+999999 0E+999999 -> Infinity Inexact Overflow Rounded +fmax2731 fma 9E+999999 +1.23456789012345E-0 0E+999999 -> Infinity Inexact Overflow Rounded +fmax2732 fma +0.100 9E-999999 0E+999999 -> 9.00E-1000000 Subnormal +fmax2733 fma 9E-999999 +0.100 0E+999999 -> 9.00E-1000000 Subnormal +fmax2735 fma -1.23456789012345E-0 9E+999999 0E+999999 -> -Infinity Inexact Overflow Rounded +fmax2736 fma 9E+999999 -1.23456789012345E-0 0E+999999 -> -Infinity Inexact Overflow Rounded +fmax2737 fma -0.100 9E-999999 0E+999999 -> -9.00E-1000000 Subnormal +fmax2738 fma 9E-999999 -0.100 0E+999999 -> -9.00E-1000000 Subnormal + +-- signs +fmax2751 fma 1e+777777 1e+411111 0E+999999 -> Infinity Overflow Inexact Rounded +fmax2752 fma 1e+777777 -1e+411111 0E+999999 -> -Infinity Overflow Inexact Rounded +fmax2753 fma -1e+777777 1e+411111 0E+999999 -> -Infinity Overflow Inexact Rounded +fmax2754 fma -1e+777777 -1e+411111 0E+999999 -> Infinity Overflow Inexact Rounded +fmax2755 fma 1e-777777 1e-411111 0E+999999 -> 0E-1000007 Underflow Subnormal Inexact Rounded Clamped +fmax2756 fma 1e-777777 -1e-411111 0E+999999 -> -0E-1000007 Underflow Subnormal Inexact Rounded Clamped +fmax2757 fma -1e-777777 1e-411111 0E+999999 -> -0E-1000007 Underflow Subnormal Inexact Rounded Clamped +fmax2758 fma -1e-777777 -1e-411111 0E+999999 -> 0E-1000007 Underflow Subnormal Inexact Rounded Clamped + +-- 'subnormal' boundary (all hard underflow or overflow in base arithemtic) +precision: 9 +fmax2760 fma 1e-600000 1e-400001 0E+999999 -> 1E-1000001 Subnormal +fmax2761 fma 1e-600000 1e-400002 0E+999999 -> 1E-1000002 Subnormal +fmax2762 fma 1e-600000 1e-400003 0E+999999 -> 1E-1000003 Subnormal +fmax2763 fma 1e-600000 1e-400004 0E+999999 -> 1E-1000004 Subnormal +fmax2764 fma 1e-600000 1e-400005 0E+999999 -> 1E-1000005 Subnormal +fmax2765 fma 1e-600000 1e-400006 0E+999999 -> 1E-1000006 Subnormal +fmax2766 fma 1e-600000 1e-400007 0E+999999 -> 1E-1000007 Subnormal +fmax2767 fma 1e-600000 1e-400008 0E+999999 -> 0E-1000007 Underflow Subnormal Inexact Rounded Clamped +fmax2768 fma 1e-600000 1e-400009 0E+999999 -> 0E-1000007 Underflow Subnormal Inexact Rounded Clamped +fmax2769 fma 1e-600000 1e-400010 0E+999999 -> 0E-1000007 Underflow Subnormal Inexact Rounded Clamped +-- [no equivalent of 'subnormal' for overflow] +fmax2770 fma 1e+600000 1e+400001 0E+999999 -> Infinity Overflow Inexact Rounded +fmax2771 fma 1e+600000 1e+400002 0E+999999 -> Infinity Overflow Inexact Rounded +fmax2772 fma 1e+600000 1e+400003 0E+999999 -> Infinity Overflow Inexact Rounded +fmax2773 fma 1e+600000 1e+400004 0E+999999 -> Infinity Overflow Inexact Rounded +fmax2774 fma 1e+600000 1e+400005 0E+999999 -> Infinity Overflow Inexact Rounded +fmax2775 fma 1e+600000 1e+400006 0E+999999 -> Infinity Overflow Inexact Rounded +fmax2776 fma 1e+600000 1e+400007 0E+999999 -> Infinity Overflow Inexact Rounded +fmax2777 fma 1e+600000 1e+400008 0E+999999 -> Infinity Overflow Inexact Rounded +fmax2778 fma 1e+600000 1e+400009 0E+999999 -> Infinity Overflow Inexact Rounded +fmax2779 fma 1e+600000 1e+400010 0E+999999 -> Infinity Overflow Inexact Rounded + +-- 'subnormal' test edge condition at higher precisions +precision: 99 +fmax2780 fma 1e-600000 1e-400007 0E+999999 -> 1E-1000007 Subnormal +fmax2781 fma 1e-600000 1e-400008 0E+999999 -> 1E-1000008 Subnormal +fmax2782 fma 1e-600000 1e-400097 0E+999999 -> 1E-1000097 Subnormal +fmax2783 fma 1e-600000 1e-400098 0E+999999 -> 0E-1000097 Underflow Subnormal Inexact Rounded Clamped +precision: 999 +fmax2784 fma 1e-600000 1e-400997 0E+999999 -> 1E-1000997 Subnormal +fmax2785 fma 1e-600000 1e-400998 0E+999999 -> 0E-1000997 Underflow Subnormal Inexact Rounded Clamped + +-- test subnormals rounding +precision: 5 +maxExponent: 999 +minexponent: -999 +rounding: half_even + +fmax2801 fma 1.0000E-999 1 0E+999999 -> 1.0000E-999 +fmax2802 fma 1.000E-999 1e-1 0E+999999 -> 1.000E-1000 Subnormal +fmax2803 fma 1.00E-999 1e-2 0E+999999 -> 1.00E-1001 Subnormal +fmax2804 fma 1.0E-999 1e-3 0E+999999 -> 1.0E-1002 Subnormal +fmax2805 fma 1.0E-999 1e-4 0E+999999 -> 1E-1003 Subnormal Rounded +fmax2806 fma 1.3E-999 1e-4 0E+999999 -> 1E-1003 Underflow Subnormal Inexact Rounded +fmax2807 fma 1.5E-999 1e-4 0E+999999 -> 2E-1003 Underflow Subnormal Inexact Rounded +fmax2808 fma 1.7E-999 1e-4 0E+999999 -> 2E-1003 Underflow Subnormal Inexact Rounded +fmax2809 fma 2.3E-999 1e-4 0E+999999 -> 2E-1003 Underflow Subnormal Inexact Rounded +fmax2810 fma 2.5E-999 1e-4 0E+999999 -> 2E-1003 Underflow Subnormal Inexact Rounded +fmax2811 fma 2.7E-999 1e-4 0E+999999 -> 3E-1003 Underflow Subnormal Inexact Rounded +fmax2812 fma 1.49E-999 1e-4 0E+999999 -> 1E-1003 Underflow Subnormal Inexact Rounded +fmax2813 fma 1.50E-999 1e-4 0E+999999 -> 2E-1003 Underflow Subnormal Inexact Rounded +fmax2814 fma 1.51E-999 1e-4 0E+999999 -> 2E-1003 Underflow Subnormal Inexact Rounded +fmax2815 fma 2.49E-999 1e-4 0E+999999 -> 2E-1003 Underflow Subnormal Inexact Rounded +fmax2816 fma 2.50E-999 1e-4 0E+999999 -> 2E-1003 Underflow Subnormal Inexact Rounded +fmax2817 fma 2.51E-999 1e-4 0E+999999 -> 3E-1003 Underflow Subnormal Inexact Rounded + +fmax2818 fma 1E-999 1e-4 0E+999999 -> 1E-1003 Subnormal +fmax2819 fma 3E-999 1e-5 0E+999999 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped +fmax2820 fma 5E-999 1e-5 0E+999999 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped +fmax2821 fma 7E-999 1e-5 0E+999999 -> 1E-1003 Underflow Subnormal Inexact Rounded +fmax2822 fma 9E-999 1e-5 0E+999999 -> 1E-1003 Underflow Subnormal Inexact Rounded +fmax2823 fma 9.9E-999 1e-5 0E+999999 -> 1E-1003 Underflow Subnormal Inexact Rounded + +fmax2824 fma 1E-999 -1e-4 0E+999999 -> -1E-1003 Subnormal +fmax2825 fma 3E-999 -1e-5 0E+999999 -> -0E-1003 Underflow Subnormal Inexact Rounded Clamped +fmax2826 fma -5E-999 1e-5 0E+999999 -> -0E-1003 Underflow Subnormal Inexact Rounded Clamped +fmax2827 fma 7E-999 -1e-5 0E+999999 -> -1E-1003 Underflow Subnormal Inexact Rounded +fmax2828 fma -9E-999 1e-5 0E+999999 -> -1E-1003 Underflow Subnormal Inexact Rounded +fmax2829 fma 9.9E-999 -1e-5 0E+999999 -> -1E-1003 Underflow Subnormal Inexact Rounded +fmax2830 fma 3.0E-999 -1e-5 0E+999999 -> -0E-1003 Underflow Subnormal Inexact Rounded Clamped + +fmax2831 fma 1.0E-501 1e-501 0E+999999 -> 1.0E-1002 Subnormal +fmax2832 fma 2.0E-501 2e-501 0E+999999 -> 4.0E-1002 Subnormal +fmax2833 fma 4.0E-501 4e-501 0E+999999 -> 1.60E-1001 Subnormal +fmax2834 fma 10.0E-501 10e-501 0E+999999 -> 1.000E-1000 Subnormal +fmax2835 fma 30.0E-501 30e-501 0E+999999 -> 9.000E-1000 Subnormal +fmax2836 fma 40.0E-501 40e-501 0E+999999 -> 1.6000E-999 + +-- squares +fmax2840 fma 1E-502 1e-502 0E+999999 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped +fmax2841 fma 1E-501 1e-501 0E+999999 -> 1E-1002 Subnormal +fmax2842 fma 2E-501 2e-501 0E+999999 -> 4E-1002 Subnormal +fmax2843 fma 4E-501 4e-501 0E+999999 -> 1.6E-1001 Subnormal +fmax2844 fma 10E-501 10e-501 0E+999999 -> 1.00E-1000 Subnormal +fmax2845 fma 30E-501 30e-501 0E+999999 -> 9.00E-1000 Subnormal +fmax2846 fma 40E-501 40e-501 0E+999999 -> 1.600E-999 + +-- cubes +fmax2850 fma 1E-670 1e-335 0E+999999 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped +fmax2851 fma 1E-668 1e-334 0E+999999 -> 1E-1002 Subnormal +fmax2852 fma 4E-668 2e-334 0E+999999 -> 8E-1002 Subnormal +fmax2853 fma 9E-668 3e-334 0E+999999 -> 2.7E-1001 Subnormal +fmax2854 fma 16E-668 4e-334 0E+999999 -> 6.4E-1001 Subnormal +fmax2855 fma 25E-668 5e-334 0E+999999 -> 1.25E-1000 Subnormal +fmax2856 fma 10E-668 100e-334 0E+999999 -> 1.000E-999 + +-- test derived from result of 0.099 ** 999 at 15 digits with unlimited exponent +precision: 19 +fmax2860 fma 6636851557994578716E-520 6636851557994578716E-520 0E+999999 -> 4.40477986028551E-1003 Underflow Subnormal Inexact Rounded + +-- Long operand overflow may be a different path +precision: 3 +maxExponent: 999999 +minexponent: -999999 +fmax2870 fma 1 9.999E+999999 0E+999999 -> Infinity Inexact Overflow Rounded +fmax2871 fma 1 -9.999E+999999 0E+999999 -> -Infinity Inexact Overflow Rounded +fmax2872 fma 9.999E+999999 1 0E+999999 -> Infinity Inexact Overflow Rounded +fmax2873 fma -9.999E+999999 1 0E+999999 -> -Infinity Inexact Overflow Rounded + +-- check for double-rounded subnormals +precision: 5 +maxexponent: 79 +minexponent: -79 +fmax2881 fma 1.2347E-40 1.2347E-40 0E+999999 -> 1.524E-80 Inexact Rounded Subnormal Underflow +fmax2882 fma 1.234E-40 1.234E-40 0E+999999 -> 1.523E-80 Inexact Rounded Subnormal Underflow +fmax2883 fma 1.23E-40 1.23E-40 0E+999999 -> 1.513E-80 Inexact Rounded Subnormal Underflow +fmax2884 fma 1.2E-40 1.2E-40 0E+999999 -> 1.44E-80 Subnormal +fmax2885 fma 1.2E-40 1.2E-41 0E+999999 -> 1.44E-81 Subnormal +fmax2886 fma 1.2E-40 1.2E-42 0E+999999 -> 1.4E-82 Subnormal Inexact Rounded Underflow +fmax2887 fma 1.2E-40 1.3E-42 0E+999999 -> 1.6E-82 Subnormal Inexact Rounded Underflow +fmax2888 fma 1.3E-40 1.3E-42 0E+999999 -> 1.7E-82 Subnormal Inexact Rounded Underflow +fmax2889 fma 1.3E-40 1.3E-43 0E+999999 -> 2E-83 Subnormal Inexact Rounded Underflow +fmax2890 fma 1.3E-41 1.3E-43 0E+999999 -> 0E-83 Clamped Subnormal Inexact Rounded Underflow + +fmax2891 fma 1.2345E-39 1.234E-40 0E+999999 -> 1.5234E-79 Inexact Rounded +fmax2892 fma 1.23456E-39 1.234E-40 0E+999999 -> 1.5234E-79 Inexact Rounded +fmax2893 fma 1.2345E-40 1.234E-40 0E+999999 -> 1.523E-80 Inexact Rounded Subnormal Underflow +fmax2894 fma 1.23456E-40 1.234E-40 0E+999999 -> 1.523E-80 Inexact Rounded Subnormal Underflow +fmax2895 fma 1.2345E-41 1.234E-40 0E+999999 -> 1.52E-81 Inexact Rounded Subnormal Underflow +fmax2896 fma 1.23456E-41 1.234E-40 0E+999999 -> 1.52E-81 Inexact Rounded Subnormal Underflow + +-- Now explore the case where we get a normal result with Underflow +precision: 16 +rounding: half_up +maxExponent: 384 +minExponent: -383 + +fmax2900 fma 0.3000000000E-191 0.3000000000E-191 0E+999999 -> 9.00000000000000E-384 Subnormal Rounded +fmax2901 fma 0.3000000001E-191 0.3000000001E-191 0E+999999 -> 9.00000000600000E-384 Underflow Inexact Subnormal Rounded +fmax2902 fma 9.999999999999999E-383 0.0999999999999 0E+999999 -> 9.99999999999000E-384 Underflow Inexact Subnormal Rounded +fmax2903 fma 9.999999999999999E-383 0.09999999999999 0E+999999 -> 9.99999999999900E-384 Underflow Inexact Subnormal Rounded +fmax2904 fma 9.999999999999999E-383 0.099999999999999 0E+999999 -> 9.99999999999990E-384 Underflow Inexact Subnormal Rounded +fmax2905 fma 9.999999999999999E-383 0.0999999999999999 0E+999999 -> 9.99999999999999E-384 Underflow Inexact Subnormal Rounded +-- prove operands are exact +fmax2906 fma 9.999999999999999E-383 1 0E+999999 -> 9.999999999999999E-383 +fmax2907 fma 1 0.09999999999999999 0E+999999 -> 0.09999999999999999 +-- the next rounds to Nmin +fmax2908 fma 9.999999999999999E-383 0.09999999999999999 0E+999999 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded +fmax2909 fma 9.999999999999999E-383 0.099999999999999999 0E+999999 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded +fmax2910 fma 9.999999999999999E-383 0.0999999999999999999 0E+999999 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded +fmax2911 fma 9.999999999999999E-383 0.09999999999999999999 0E+999999 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded + +-- Examples from SQL proposal (Krishna Kulkarni) +precision: 34 +rounding: half_up +maxExponent: 6144 +minExponent: -6143 +fmax2921 fma 130E-2 120E-2 0E+999999 -> 1.5600 +fmax2922 fma 130E-2 12E-1 0E+999999 -> 1.560 +fmax2923 fma 130E-2 1E0 0E+999999 -> 1.30 + +-- Null tests +fmax2990 fma # 10 0E+999999 -> NaN Invalid_operation +fmax2991 fma 10 # 0E+999999 -> NaN Invalid_operation + +-- ADDITION TESTS ------------------------------------------------------ +precision: 9 +rounding: half_up +maxExponent: 384 +minexponent: -383 + +-- [first group are 'quick confidence check'] +fmax3001 fma 1 1 1 -> 2 +fmax3002 fma 1 2 3 -> 5 +fmax3003 fma 1 '5.75' '3.3' -> 9.05 +fmax3004 fma 1 '5' '-3' -> 2 +fmax3005 fma 1 '-5' '-3' -> -8 +fmax3006 fma 1 '-7' '2.5' -> -4.5 +fmax3007 fma 1 '0.7' '0.3' -> 1.0 +fmax3008 fma 1 '1.25' '1.25' -> 2.50 +fmax3009 fma 1 '1.23456789' '1.00000000' -> '2.23456789' +fmax3010 fma 1 '1.23456789' '1.00000011' -> '2.23456800' + +fmax3011 fma 1 '0.4444444444' '0.5555555555' -> '1.00000000' Inexact Rounded +fmax3012 fma 1 '0.4444444440' '0.5555555555' -> '1.00000000' Inexact Rounded +fmax3013 fma 1 '0.4444444444' '0.5555555550' -> '0.999999999' Inexact Rounded +fmax3014 fma 1 '0.44444444449' '0' -> '0.444444444' Inexact Rounded +fmax3015 fma 1 '0.444444444499' '0' -> '0.444444444' Inexact Rounded +fmax3016 fma 1 '0.4444444444999' '0' -> '0.444444444' Inexact Rounded +fmax3017 fma 1 '0.4444444445000' '0' -> '0.444444445' Inexact Rounded +fmax3018 fma 1 '0.4444444445001' '0' -> '0.444444445' Inexact Rounded +fmax3019 fma 1 '0.444444444501' '0' -> '0.444444445' Inexact Rounded +fmax3020 fma 1 '0.44444444451' '0' -> '0.444444445' Inexact Rounded + +fmax3021 fma 1 0 1 -> 1 +fmax3022 fma 1 1 1 -> 2 +fmax3023 fma 1 2 1 -> 3 +fmax3024 fma 1 3 1 -> 4 +fmax3025 fma 1 4 1 -> 5 +fmax3026 fma 1 5 1 -> 6 +fmax3027 fma 1 6 1 -> 7 +fmax3028 fma 1 7 1 -> 8 +fmax3029 fma 1 8 1 -> 9 +fmax3030 fma 1 9 1 -> 10 + +-- some carrying effects +fmax3031 fma 1 '0.9998' '0.0000' -> '0.9998' +fmax3032 fma 1 '0.9998' '0.0001' -> '0.9999' +fmax3033 fma 1 '0.9998' '0.0002' -> '1.0000' +fmax3034 fma 1 '0.9998' '0.0003' -> '1.0001' + +fmax3035 fma 1 '70' '10000e+9' -> '1.00000000E+13' Inexact Rounded +fmax3036 fma 1 '700' '10000e+9' -> '1.00000000E+13' Inexact Rounded +fmax3037 fma 1 '7000' '10000e+9' -> '1.00000000E+13' Inexact Rounded +fmax3038 fma 1 '70000' '10000e+9' -> '1.00000001E+13' Inexact Rounded +fmax3039 fma 1 '700000' '10000e+9' -> '1.00000007E+13' Rounded + +-- symmetry: +fmax3040 fma 1 '10000e+9' '70' -> '1.00000000E+13' Inexact Rounded +fmax3041 fma 1 '10000e+9' '700' -> '1.00000000E+13' Inexact Rounded +fmax3042 fma 1 '10000e+9' '7000' -> '1.00000000E+13' Inexact Rounded +fmax3044 fma 1 '10000e+9' '70000' -> '1.00000001E+13' Inexact Rounded +fmax3045 fma 1 '10000e+9' '700000' -> '1.00000007E+13' Rounded + +-- same, higher precision +precision: 15 +fmax3046 fma 1 '10000e+9' '7' -> '10000000000007' +fmax3047 fma 1 '10000e+9' '70' -> '10000000000070' +fmax3048 fma 1 '10000e+9' '700' -> '10000000000700' +fmax3049 fma 1 '10000e+9' '7000' -> '10000000007000' +fmax3050 fma 1 '10000e+9' '70000' -> '10000000070000' +fmax3051 fma 1 '10000e+9' '700000' -> '10000000700000' +fmax3052 fma 1 '10000e+9' '7000000' -> '10000007000000' + +-- examples from decarith +fmax3053 fma 1 '12' '7.00' -> '19.00' +fmax3054 fma 1 '1.3' '-1.07' -> '0.23' +fmax3055 fma 1 '1.3' '-1.30' -> '0.00' +fmax3056 fma 1 '1.3' '-2.07' -> '-0.77' +fmax3057 fma 1 '1E+2' '1E+4' -> '1.01E+4' + +-- zero preservation +precision: 6 +fmax3060 fma 1 '10000e+9' '70000' -> '1.00000E+13' Inexact Rounded +fmax3061 fma 1 1 '0.0001' -> '1.0001' +fmax3062 fma 1 1 '0.00001' -> '1.00001' +fmax3063 fma 1 1 '0.000001' -> '1.00000' Inexact Rounded +fmax3064 fma 1 1 '0.0000001' -> '1.00000' Inexact Rounded +fmax3065 fma 1 1 '0.00000001' -> '1.00000' Inexact Rounded + +-- some funny zeros [in case of bad signum] +fmax3070 fma 1 1 0 -> 1 +fmax3071 fma 1 1 0. -> 1 +fmax3072 fma 1 1 .0 -> 1.0 +fmax3073 fma 1 1 0.0 -> 1.0 +fmax3074 fma 1 1 0.00 -> 1.00 +fmax3075 fma 1 0 1 -> 1 +fmax3076 fma 1 0. 1 -> 1 +fmax3077 fma 1 .0 1 -> 1.0 +fmax3078 fma 1 0.0 1 -> 1.0 +fmax3079 fma 1 0.00 1 -> 1.00 + +precision: 9 + +-- some carries +fmax3080 fma 1 999999998 1 -> 999999999 +fmax3081 fma 1 999999999 1 -> 1.00000000E+9 Rounded +fmax3082 fma 1 99999999 1 -> 100000000 +fmax3083 fma 1 9999999 1 -> 10000000 +fmax3084 fma 1 999999 1 -> 1000000 +fmax3085 fma 1 99999 1 -> 100000 +fmax3086 fma 1 9999 1 -> 10000 +fmax3087 fma 1 999 1 -> 1000 +fmax3088 fma 1 99 1 -> 100 +fmax3089 fma 1 9 1 -> 10 + + +-- more LHS swaps +fmax3090 fma 1 '-56267E-10' 0 -> '-0.0000056267' +fmax3091 fma 1 '-56267E-6' 0 -> '-0.056267' +fmax3092 fma 1 '-56267E-5' 0 -> '-0.56267' +fmax3093 fma 1 '-56267E-4' 0 -> '-5.6267' +fmax3094 fma 1 '-56267E-3' 0 -> '-56.267' +fmax3095 fma 1 '-56267E-2' 0 -> '-562.67' +fmax3096 fma 1 '-56267E-1' 0 -> '-5626.7' +fmax3097 fma 1 '-56267E-0' 0 -> '-56267' +fmax3098 fma 1 '-5E-10' 0 -> '-5E-10' +fmax3099 fma 1 '-5E-7' 0 -> '-5E-7' +fmax3100 fma 1 '-5E-6' 0 -> '-0.000005' +fmax3101 fma 1 '-5E-5' 0 -> '-0.00005' +fmax3102 fma 1 '-5E-4' 0 -> '-0.0005' +fmax3103 fma 1 '-5E-1' 0 -> '-0.5' +fmax3104 fma 1 '-5E0' 0 -> '-5' +fmax3105 fma 1 '-5E1' 0 -> '-50' +fmax3106 fma 1 '-5E5' 0 -> '-500000' +fmax3107 fma 1 '-5E8' 0 -> '-500000000' +fmax3108 fma 1 '-5E9' 0 -> '-5.00000000E+9' Rounded +fmax3109 fma 1 '-5E10' 0 -> '-5.00000000E+10' Rounded +fmax3110 fma 1 '-5E11' 0 -> '-5.00000000E+11' Rounded +fmax3111 fma 1 '-5E100' 0 -> '-5.00000000E+100' Rounded + +-- more RHS swaps +fmax3113 fma 1 0 '-56267E-10' -> '-0.0000056267' +fmax3114 fma 1 0 '-56267E-6' -> '-0.056267' +fmax3116 fma 1 0 '-56267E-5' -> '-0.56267' +fmax3117 fma 1 0 '-56267E-4' -> '-5.6267' +fmax3119 fma 1 0 '-56267E-3' -> '-56.267' +fmax3120 fma 1 0 '-56267E-2' -> '-562.67' +fmax3121 fma 1 0 '-56267E-1' -> '-5626.7' +fmax3122 fma 1 0 '-56267E-0' -> '-56267' +fmax3123 fma 1 0 '-5E-10' -> '-5E-10' +fmax3124 fma 1 0 '-5E-7' -> '-5E-7' +fmax3125 fma 1 0 '-5E-6' -> '-0.000005' +fmax3126 fma 1 0 '-5E-5' -> '-0.00005' +fmax3127 fma 1 0 '-5E-4' -> '-0.0005' +fmax3128 fma 1 0 '-5E-1' -> '-0.5' +fmax3129 fma 1 0 '-5E0' -> '-5' +fmax3130 fma 1 0 '-5E1' -> '-50' +fmax3131 fma 1 0 '-5E5' -> '-500000' +fmax3132 fma 1 0 '-5E8' -> '-500000000' +fmax3133 fma 1 0 '-5E9' -> '-5.00000000E+9' Rounded +fmax3134 fma 1 0 '-5E10' -> '-5.00000000E+10' Rounded +fmax3135 fma 1 0 '-5E11' -> '-5.00000000E+11' Rounded +fmax3136 fma 1 0 '-5E100' -> '-5.00000000E+100' Rounded + +-- related +fmax3137 fma 1 1 '0E-12' -> '1.00000000' Rounded +fmax3138 fma 1 -1 '0E-12' -> '-1.00000000' Rounded +fmax3139 fma 1 '0E-12' 1 -> '1.00000000' Rounded +fmax3140 fma 1 '0E-12' -1 -> '-1.00000000' Rounded +fmax3141 fma 1 1E+4 0.0000 -> '10000.0000' +fmax3142 fma 1 1E+4 0.00000 -> '10000.0000' Rounded +fmax3143 fma 1 0.000 1E+5 -> '100000.000' +fmax3144 fma 1 0.0000 1E+5 -> '100000.000' Rounded + +-- [some of the next group are really constructor tests] +fmax3146 fma 1 '00.0' 0 -> '0.0' +fmax3147 fma 1 '0.00' 0 -> '0.00' +fmax3148 fma 1 0 '0.00' -> '0.00' +fmax3149 fma 1 0 '00.0' -> '0.0' +fmax3150 fma 1 '00.0' '0.00' -> '0.00' +fmax3151 fma 1 '0.00' '00.0' -> '0.00' +fmax3152 fma 1 '3' '.3' -> '3.3' +fmax3153 fma 1 '3.' '.3' -> '3.3' +fmax3154 fma 1 '3.0' '.3' -> '3.3' +fmax3155 fma 1 '3.00' '.3' -> '3.30' +fmax3156 fma 1 '3' '3' -> '6' +fmax3157 fma 1 '3' '+3' -> '6' +fmax3158 fma 1 '3' '-3' -> '0' +fmax3159 fma 1 '0.3' '-0.3' -> '0.0' +fmax3160 fma 1 '0.03' '-0.03' -> '0.00' + +-- try borderline precision, with carries, etc. +precision: 15 +fmax3161 fma 1 '1E+12' '-1' -> '999999999999' +fmax3162 fma 1 '1E+12' '1.11' -> '1000000000001.11' +fmax3163 fma 1 '1.11' '1E+12' -> '1000000000001.11' +fmax3164 fma 1 '-1' '1E+12' -> '999999999999' +fmax3165 fma 1 '7E+12' '-1' -> '6999999999999' +fmax3166 fma 1 '7E+12' '1.11' -> '7000000000001.11' +fmax3167 fma 1 '1.11' '7E+12' -> '7000000000001.11' +fmax3168 fma 1 '-1' '7E+12' -> '6999999999999' + +-- 123456789012345 123456789012345 1 23456789012345 +fmax3170 fma 1 '0.444444444444444' '0.555555555555563' -> '1.00000000000001' Inexact Rounded +fmax3171 fma 1 '0.444444444444444' '0.555555555555562' -> '1.00000000000001' Inexact Rounded +fmax3172 fma 1 '0.444444444444444' '0.555555555555561' -> '1.00000000000001' Inexact Rounded +fmax3173 fma 1 '0.444444444444444' '0.555555555555560' -> '1.00000000000000' Inexact Rounded +fmax3174 fma 1 '0.444444444444444' '0.555555555555559' -> '1.00000000000000' Inexact Rounded +fmax3175 fma 1 '0.444444444444444' '0.555555555555558' -> '1.00000000000000' Inexact Rounded +fmax3176 fma 1 '0.444444444444444' '0.555555555555557' -> '1.00000000000000' Inexact Rounded +fmax3177 fma 1 '0.444444444444444' '0.555555555555556' -> '1.00000000000000' Rounded +fmax3178 fma 1 '0.444444444444444' '0.555555555555555' -> '0.999999999999999' +fmax3179 fma 1 '0.444444444444444' '0.555555555555554' -> '0.999999999999998' +fmax3180 fma 1 '0.444444444444444' '0.555555555555553' -> '0.999999999999997' +fmax3181 fma 1 '0.444444444444444' '0.555555555555552' -> '0.999999999999996' +fmax3182 fma 1 '0.444444444444444' '0.555555555555551' -> '0.999999999999995' +fmax3183 fma 1 '0.444444444444444' '0.555555555555550' -> '0.999999999999994' + +-- and some more, including residue effects and different roundings +precision: 9 +rounding: half_up +fmax3200 fma 1 '123456789' 0 -> '123456789' +fmax3201 fma 1 '123456789' 0.000000001 -> '123456789' Inexact Rounded +fmax3202 fma 1 '123456789' 0.000001 -> '123456789' Inexact Rounded +fmax3203 fma 1 '123456789' 0.1 -> '123456789' Inexact Rounded +fmax3204 fma 1 '123456789' 0.4 -> '123456789' Inexact Rounded +fmax3205 fma 1 '123456789' 0.49 -> '123456789' Inexact Rounded +fmax3206 fma 1 '123456789' 0.499999 -> '123456789' Inexact Rounded +fmax3207 fma 1 '123456789' 0.499999999 -> '123456789' Inexact Rounded +fmax3208 fma 1 '123456789' 0.5 -> '123456790' Inexact Rounded +fmax3209 fma 1 '123456789' 0.500000001 -> '123456790' Inexact Rounded +fmax3210 fma 1 '123456789' 0.500001 -> '123456790' Inexact Rounded +fmax3211 fma 1 '123456789' 0.51 -> '123456790' Inexact Rounded +fmax3212 fma 1 '123456789' 0.6 -> '123456790' Inexact Rounded +fmax3213 fma 1 '123456789' 0.9 -> '123456790' Inexact Rounded +fmax3214 fma 1 '123456789' 0.99999 -> '123456790' Inexact Rounded +fmax3215 fma 1 '123456789' 0.999999999 -> '123456790' Inexact Rounded +fmax3216 fma 1 '123456789' 1 -> '123456790' +fmax3217 fma 1 '123456789' 1.000000001 -> '123456790' Inexact Rounded +fmax3218 fma 1 '123456789' 1.00001 -> '123456790' Inexact Rounded +fmax3219 fma 1 '123456789' 1.1 -> '123456790' Inexact Rounded + +rounding: half_even +fmax3220 fma 1 '123456789' 0 -> '123456789' +fmax3221 fma 1 '123456789' 0.000000001 -> '123456789' Inexact Rounded +fmax3222 fma 1 '123456789' 0.000001 -> '123456789' Inexact Rounded +fmax3223 fma 1 '123456789' 0.1 -> '123456789' Inexact Rounded +fmax3224 fma 1 '123456789' 0.4 -> '123456789' Inexact Rounded +fmax3225 fma 1 '123456789' 0.49 -> '123456789' Inexact Rounded +fmax3226 fma 1 '123456789' 0.499999 -> '123456789' Inexact Rounded +fmax3227 fma 1 '123456789' 0.499999999 -> '123456789' Inexact Rounded +fmax3228 fma 1 '123456789' 0.5 -> '123456790' Inexact Rounded +fmax3229 fma 1 '123456789' 0.500000001 -> '123456790' Inexact Rounded +fmax3230 fma 1 '123456789' 0.500001 -> '123456790' Inexact Rounded +fmax3231 fma 1 '123456789' 0.51 -> '123456790' Inexact Rounded +fmax3232 fma 1 '123456789' 0.6 -> '123456790' Inexact Rounded +fmax3233 fma 1 '123456789' 0.9 -> '123456790' Inexact Rounded +fmax3234 fma 1 '123456789' 0.99999 -> '123456790' Inexact Rounded +fmax3235 fma 1 '123456789' 0.999999999 -> '123456790' Inexact Rounded +fmax3236 fma 1 '123456789' 1 -> '123456790' +fmax3237 fma 1 '123456789' 1.00000001 -> '123456790' Inexact Rounded +fmax3238 fma 1 '123456789' 1.00001 -> '123456790' Inexact Rounded +fmax3239 fma 1 '123456789' 1.1 -> '123456790' Inexact Rounded +-- critical few with even bottom digit... +fmax3240 fma 1 '123456788' 0.499999999 -> '123456788' Inexact Rounded +fmax3241 fma 1 '123456788' 0.5 -> '123456788' Inexact Rounded +fmax3242 fma 1 '123456788' 0.500000001 -> '123456789' Inexact Rounded + +rounding: down +fmax3250 fma 1 '123456789' 0 -> '123456789' +fmax3251 fma 1 '123456789' 0.000000001 -> '123456789' Inexact Rounded +fmax3252 fma 1 '123456789' 0.000001 -> '123456789' Inexact Rounded +fmax3253 fma 1 '123456789' 0.1 -> '123456789' Inexact Rounded +fmax3254 fma 1 '123456789' 0.4 -> '123456789' Inexact Rounded +fmax3255 fma 1 '123456789' 0.49 -> '123456789' Inexact Rounded +fmax3256 fma 1 '123456789' 0.499999 -> '123456789' Inexact Rounded +fmax3257 fma 1 '123456789' 0.499999999 -> '123456789' Inexact Rounded +fmax3258 fma 1 '123456789' 0.5 -> '123456789' Inexact Rounded +fmax3259 fma 1 '123456789' 0.500000001 -> '123456789' Inexact Rounded +fmax3260 fma 1 '123456789' 0.500001 -> '123456789' Inexact Rounded +fmax3261 fma 1 '123456789' 0.51 -> '123456789' Inexact Rounded +fmax3262 fma 1 '123456789' 0.6 -> '123456789' Inexact Rounded +fmax3263 fma 1 '123456789' 0.9 -> '123456789' Inexact Rounded +fmax3264 fma 1 '123456789' 0.99999 -> '123456789' Inexact Rounded +fmax3265 fma 1 '123456789' 0.999999999 -> '123456789' Inexact Rounded +fmax3266 fma 1 '123456789' 1 -> '123456790' +fmax3267 fma 1 '123456789' 1.00000001 -> '123456790' Inexact Rounded +fmax3268 fma 1 '123456789' 1.00001 -> '123456790' Inexact Rounded +fmax3269 fma 1 '123456789' 1.1 -> '123456790' Inexact Rounded + +-- input preparation tests (operands should not be rounded) +precision: 3 +rounding: half_up + +fmax3270 fma 1 '12345678900000' 9999999999999 -> '2.23E+13' Inexact Rounded +fmax3271 fma 1 '9999999999999' 12345678900000 -> '2.23E+13' Inexact Rounded + +fmax3272 fma 1 '12E+3' '3444' -> '1.54E+4' Inexact Rounded +fmax3273 fma 1 '12E+3' '3446' -> '1.54E+4' Inexact Rounded +fmax3274 fma 1 '12E+3' '3449.9' -> '1.54E+4' Inexact Rounded +fmax3275 fma 1 '12E+3' '3450.0' -> '1.55E+4' Inexact Rounded +fmax3276 fma 1 '12E+3' '3450.1' -> '1.55E+4' Inexact Rounded +fmax3277 fma 1 '12E+3' '3454' -> '1.55E+4' Inexact Rounded +fmax3278 fma 1 '12E+3' '3456' -> '1.55E+4' Inexact Rounded + +fmax3281 fma 1 '3444' '12E+3' -> '1.54E+4' Inexact Rounded +fmax3282 fma 1 '3446' '12E+3' -> '1.54E+4' Inexact Rounded +fmax3283 fma 1 '3449.9' '12E+3' -> '1.54E+4' Inexact Rounded +fmax3284 fma 1 '3450.0' '12E+3' -> '1.55E+4' Inexact Rounded +fmax3285 fma 1 '3450.1' '12E+3' -> '1.55E+4' Inexact Rounded +fmax3286 fma 1 '3454' '12E+3' -> '1.55E+4' Inexact Rounded +fmax3287 fma 1 '3456' '12E+3' -> '1.55E+4' Inexact Rounded + +rounding: half_down +fmax3291 fma 1 '3444' '12E+3' -> '1.54E+4' Inexact Rounded +fmax3292 fma 1 '3446' '12E+3' -> '1.54E+4' Inexact Rounded +fmax3293 fma 1 '3449.9' '12E+3' -> '1.54E+4' Inexact Rounded +fmax3294 fma 1 '3450.0' '12E+3' -> '1.54E+4' Inexact Rounded +fmax3295 fma 1 '3450.1' '12E+3' -> '1.55E+4' Inexact Rounded +fmax3296 fma 1 '3454' '12E+3' -> '1.55E+4' Inexact Rounded +fmax3297 fma 1 '3456' '12E+3' -> '1.55E+4' Inexact Rounded + +-- 1 in last place tests +rounding: half_up +fmax3301 fma 1 -1 1 -> 0 +fmax3302 fma 1 0 1 -> 1 +fmax3303 fma 1 1 1 -> 2 +fmax3304 fma 1 12 1 -> 13 +fmax3305 fma 1 98 1 -> 99 +fmax3306 fma 1 99 1 -> 100 +fmax3307 fma 1 100 1 -> 101 +fmax3308 fma 1 101 1 -> 102 +fmax3309 fma 1 -1 -1 -> -2 +fmax3310 fma 1 0 -1 -> -1 +fmax3311 fma 1 1 -1 -> 0 +fmax3312 fma 1 12 -1 -> 11 +fmax3313 fma 1 98 -1 -> 97 +fmax3314 fma 1 99 -1 -> 98 +fmax3315 fma 1 100 -1 -> 99 +fmax3316 fma 1 101 -1 -> 100 + +fmax3321 fma 1 -0.01 0.01 -> 0.00 +fmax3322 fma 1 0.00 0.01 -> 0.01 +fmax3323 fma 1 0.01 0.01 -> 0.02 +fmax3324 fma 1 0.12 0.01 -> 0.13 +fmax3325 fma 1 0.98 0.01 -> 0.99 +fmax3326 fma 1 0.99 0.01 -> 1.00 +fmax3327 fma 1 1.00 0.01 -> 1.01 +fmax3328 fma 1 1.01 0.01 -> 1.02 +fmax3329 fma 1 -0.01 -0.01 -> -0.02 +fmax3330 fma 1 0.00 -0.01 -> -0.01 +fmax3331 fma 1 0.01 -0.01 -> 0.00 +fmax3332 fma 1 0.12 -0.01 -> 0.11 +fmax3333 fma 1 0.98 -0.01 -> 0.97 +fmax3334 fma 1 0.99 -0.01 -> 0.98 +fmax3335 fma 1 1.00 -0.01 -> 0.99 +fmax3336 fma 1 1.01 -0.01 -> 1.00 + +-- some more cases where fma 1 ing 0 affects the coefficient +precision: 9 +fmax3340 fma 1 1E+3 0 -> 1000 +fmax3341 fma 1 1E+8 0 -> 100000000 +fmax3342 fma 1 1E+9 0 -> 1.00000000E+9 Rounded +fmax3343 fma 1 1E+10 0 -> 1.00000000E+10 Rounded +-- which simply follow from these cases ... +fmax3344 fma 1 1E+3 1 -> 1001 +fmax3345 fma 1 1E+8 1 -> 100000001 +fmax3346 fma 1 1E+9 1 -> 1.00000000E+9 Inexact Rounded +fmax3347 fma 1 1E+10 1 -> 1.00000000E+10 Inexact Rounded +fmax3348 fma 1 1E+3 7 -> 1007 +fmax3349 fma 1 1E+8 7 -> 100000007 +fmax3350 fma 1 1E+9 7 -> 1.00000001E+9 Inexact Rounded +fmax3351 fma 1 1E+10 7 -> 1.00000000E+10 Inexact Rounded + +-- tryzeros cases +precision: 7 +rounding: half_up +maxExponent: 92 +minexponent: -92 +fmax3361 fma 1 0E+50 10000E+1 -> 1.0000E+5 +fmax3362 fma 1 10000E+1 0E-50 -> 100000.0 Rounded +fmax3363 fma 1 10000E+1 10000E-50 -> 100000.0 Rounded Inexact +fmax3364 fma 1 9.999999E+92 -9.999999E+92 -> 0E+86 + +-- a curiosity from JSR 13 testing +rounding: half_down +precision: 10 +fmax3370 fma 1 99999999 81512 -> 100081511 +precision: 6 +fmax3371 fma 1 99999999 81512 -> 1.00082E+8 Rounded Inexact +rounding: half_up +precision: 10 +fmax3372 fma 1 99999999 81512 -> 100081511 +precision: 6 +fmax3373 fma 1 99999999 81512 -> 1.00082E+8 Rounded Inexact +rounding: half_even +precision: 10 +fmax3374 fma 1 99999999 81512 -> 100081511 +precision: 6 +fmax3375 fma 1 99999999 81512 -> 1.00082E+8 Rounded Inexact + +-- ulp replacement tests +precision: 9 +maxexponent: 999999 +minexponent: -999999 +fmax3400 fma 1 1 77e-7 -> 1.0000077 +fmax3401 fma 1 1 77e-8 -> 1.00000077 +fmax3402 fma 1 1 77e-9 -> 1.00000008 Inexact Rounded +fmax3403 fma 1 1 77e-10 -> 1.00000001 Inexact Rounded +fmax3404 fma 1 1 77e-11 -> 1.00000000 Inexact Rounded +fmax3405 fma 1 1 77e-12 -> 1.00000000 Inexact Rounded +fmax3406 fma 1 1 77e-999 -> 1.00000000 Inexact Rounded +fmax3407 fma 1 1 77e-999999 -> 1.00000000 Inexact Rounded + +fmax3410 fma 1 10 77e-7 -> 10.0000077 +fmax3411 fma 1 10 77e-8 -> 10.0000008 Inexact Rounded +fmax3412 fma 1 10 77e-9 -> 10.0000001 Inexact Rounded +fmax3413 fma 1 10 77e-10 -> 10.0000000 Inexact Rounded +fmax3414 fma 1 10 77e-11 -> 10.0000000 Inexact Rounded +fmax3415 fma 1 10 77e-12 -> 10.0000000 Inexact Rounded +fmax3416 fma 1 10 77e-999 -> 10.0000000 Inexact Rounded +fmax3417 fma 1 10 77e-999999 -> 10.0000000 Inexact Rounded + +fmax3420 fma 1 77e-7 1 -> 1.0000077 +fmax3421 fma 1 77e-8 1 -> 1.00000077 +fmax3422 fma 1 77e-9 1 -> 1.00000008 Inexact Rounded +fmax3423 fma 1 77e-10 1 -> 1.00000001 Inexact Rounded +fmax3424 fma 1 77e-11 1 -> 1.00000000 Inexact Rounded +fmax3425 fma 1 77e-12 1 -> 1.00000000 Inexact Rounded +fmax3426 fma 1 77e-999 1 -> 1.00000000 Inexact Rounded +fmax3427 fma 1 77e-999999 1 -> 1.00000000 Inexact Rounded + +fmax3430 fma 1 77e-7 10 -> 10.0000077 +fmax3431 fma 1 77e-8 10 -> 10.0000008 Inexact Rounded +fmax3432 fma 1 77e-9 10 -> 10.0000001 Inexact Rounded +fmax3433 fma 1 77e-10 10 -> 10.0000000 Inexact Rounded +fmax3434 fma 1 77e-11 10 -> 10.0000000 Inexact Rounded +fmax3435 fma 1 77e-12 10 -> 10.0000000 Inexact Rounded +fmax3436 fma 1 77e-999 10 -> 10.0000000 Inexact Rounded +fmax3437 fma 1 77e-999999 10 -> 10.0000000 Inexact Rounded + +-- negative ulps +fmax3440 fma 1 1 -77e-7 -> 0.9999923 +fmax3441 fma 1 1 -77e-8 -> 0.99999923 +fmax3442 fma 1 1 -77e-9 -> 0.999999923 +fmax3443 fma 1 1 -77e-10 -> 0.999999992 Inexact Rounded +fmax3444 fma 1 1 -77e-11 -> 0.999999999 Inexact Rounded +fmax3445 fma 1 1 -77e-12 -> 1.00000000 Inexact Rounded +fmax3446 fma 1 1 -77e-999 -> 1.00000000 Inexact Rounded +fmax3447 fma 1 1 -77e-999999 -> 1.00000000 Inexact Rounded + +fmax3450 fma 1 10 -77e-7 -> 9.9999923 +fmax3451 fma 1 10 -77e-8 -> 9.99999923 +fmax3452 fma 1 10 -77e-9 -> 9.99999992 Inexact Rounded +fmax3453 fma 1 10 -77e-10 -> 9.99999999 Inexact Rounded +fmax3454 fma 1 10 -77e-11 -> 10.0000000 Inexact Rounded +fmax3455 fma 1 10 -77e-12 -> 10.0000000 Inexact Rounded +fmax3456 fma 1 10 -77e-999 -> 10.0000000 Inexact Rounded +fmax3457 fma 1 10 -77e-999999 -> 10.0000000 Inexact Rounded + +fmax3460 fma 1 -77e-7 1 -> 0.9999923 +fmax3461 fma 1 -77e-8 1 -> 0.99999923 +fmax3462 fma 1 -77e-9 1 -> 0.999999923 +fmax3463 fma 1 -77e-10 1 -> 0.999999992 Inexact Rounded +fmax3464 fma 1 -77e-11 1 -> 0.999999999 Inexact Rounded +fmax3465 fma 1 -77e-12 1 -> 1.00000000 Inexact Rounded +fmax3466 fma 1 -77e-999 1 -> 1.00000000 Inexact Rounded +fmax3467 fma 1 -77e-999999 1 -> 1.00000000 Inexact Rounded + +fmax3470 fma 1 -77e-7 10 -> 9.9999923 +fmax3471 fma 1 -77e-8 10 -> 9.99999923 +fmax3472 fma 1 -77e-9 10 -> 9.99999992 Inexact Rounded +fmax3473 fma 1 -77e-10 10 -> 9.99999999 Inexact Rounded +fmax3474 fma 1 -77e-11 10 -> 10.0000000 Inexact Rounded +fmax3475 fma 1 -77e-12 10 -> 10.0000000 Inexact Rounded +fmax3476 fma 1 -77e-999 10 -> 10.0000000 Inexact Rounded +fmax3477 fma 1 -77e-999999 10 -> 10.0000000 Inexact Rounded + +-- negative ulps +fmax3480 fma 1 -1 77e-7 -> -0.9999923 +fmax3481 fma 1 -1 77e-8 -> -0.99999923 +fmax3482 fma 1 -1 77e-9 -> -0.999999923 +fmax3483 fma 1 -1 77e-10 -> -0.999999992 Inexact Rounded +fmax3484 fma 1 -1 77e-11 -> -0.999999999 Inexact Rounded +fmax3485 fma 1 -1 77e-12 -> -1.00000000 Inexact Rounded +fmax3486 fma 1 -1 77e-999 -> -1.00000000 Inexact Rounded +fmax3487 fma 1 -1 77e-999999 -> -1.00000000 Inexact Rounded + +fmax3490 fma 1 -10 77e-7 -> -9.9999923 +fmax3491 fma 1 -10 77e-8 -> -9.99999923 +fmax3492 fma 1 -10 77e-9 -> -9.99999992 Inexact Rounded +fmax3493 fma 1 -10 77e-10 -> -9.99999999 Inexact Rounded +fmax3494 fma 1 -10 77e-11 -> -10.0000000 Inexact Rounded +fmax3495 fma 1 -10 77e-12 -> -10.0000000 Inexact Rounded +fmax3496 fma 1 -10 77e-999 -> -10.0000000 Inexact Rounded +fmax3497 fma 1 -10 77e-999999 -> -10.0000000 Inexact Rounded + +fmax3500 fma 1 77e-7 -1 -> -0.9999923 +fmax3501 fma 1 77e-8 -1 -> -0.99999923 +fmax3502 fma 1 77e-9 -1 -> -0.999999923 +fmax3503 fma 1 77e-10 -1 -> -0.999999992 Inexact Rounded +fmax3504 fma 1 77e-11 -1 -> -0.999999999 Inexact Rounded +fmax3505 fma 1 77e-12 -1 -> -1.00000000 Inexact Rounded +fmax3506 fma 1 77e-999 -1 -> -1.00000000 Inexact Rounded +fmax3507 fma 1 77e-999999 -1 -> -1.00000000 Inexact Rounded + +fmax3510 fma 1 77e-7 -10 -> -9.9999923 +fmax3511 fma 1 77e-8 -10 -> -9.99999923 +fmax3512 fma 1 77e-9 -10 -> -9.99999992 Inexact Rounded +fmax3513 fma 1 77e-10 -10 -> -9.99999999 Inexact Rounded +fmax3514 fma 1 77e-11 -10 -> -10.0000000 Inexact Rounded +fmax3515 fma 1 77e-12 -10 -> -10.0000000 Inexact Rounded +fmax3516 fma 1 77e-999 -10 -> -10.0000000 Inexact Rounded +fmax3517 fma 1 77e-999999 -10 -> -10.0000000 Inexact Rounded + + +-- long operands +maxexponent: 999 +minexponent: -999 +precision: 9 +fmax3521 fma 1 12345678000 0 -> 1.23456780E+10 Rounded +fmax3522 fma 1 0 12345678000 -> 1.23456780E+10 Rounded +fmax3523 fma 1 1234567800 0 -> 1.23456780E+9 Rounded +fmax3524 fma 1 0 1234567800 -> 1.23456780E+9 Rounded +fmax3525 fma 1 1234567890 0 -> 1.23456789E+9 Rounded +fmax3526 fma 1 0 1234567890 -> 1.23456789E+9 Rounded +fmax3527 fma 1 1234567891 0 -> 1.23456789E+9 Inexact Rounded +fmax3528 fma 1 0 1234567891 -> 1.23456789E+9 Inexact Rounded +fmax3529 fma 1 12345678901 0 -> 1.23456789E+10 Inexact Rounded +fmax3530 fma 1 0 12345678901 -> 1.23456789E+10 Inexact Rounded +fmax3531 fma 1 1234567896 0 -> 1.23456790E+9 Inexact Rounded +fmax3532 fma 1 0 1234567896 -> 1.23456790E+9 Inexact Rounded + +precision: 15 +-- still checking +fmax3541 fma 1 12345678000 0 -> 12345678000 +fmax3542 fma 1 0 12345678000 -> 12345678000 +fmax3543 fma 1 1234567800 0 -> 1234567800 +fmax3544 fma 1 0 1234567800 -> 1234567800 +fmax3545 fma 1 1234567890 0 -> 1234567890 +fmax3546 fma 1 0 1234567890 -> 1234567890 +fmax3547 fma 1 1234567891 0 -> 1234567891 +fmax3548 fma 1 0 1234567891 -> 1234567891 +fmax3549 fma 1 12345678901 0 -> 12345678901 +fmax3550 fma 1 0 12345678901 -> 12345678901 +fmax3551 fma 1 1234567896 0 -> 1234567896 +fmax3552 fma 1 0 1234567896 -> 1234567896 + +-- verify a query +precision: 16 +maxExponent: +394 +minExponent: -393 +rounding: down +fmax3561 fma 1 1e-398 9.000000000000000E+384 -> 9.000000000000000E+384 Inexact Rounded +fmax3562 fma 1 0 9.000000000000000E+384 -> 9.000000000000000E+384 Rounded +-- and using decimal64 bounds... +precision: 16 +maxExponent: +384 +minExponent: -383 +rounding: down +fmax3563 fma 1 1e-388 9.000000000000000E+374 -> 9.000000000000000E+374 Inexact Rounded +fmax3564 fma 1 0 9.000000000000000E+374 -> 9.000000000000000E+374 Rounded + + +-- some more residue effects with extreme rounding +precision: 9 +rounding: half_up +fmax3601 fma 1 123456789 0.000001 -> 123456789 Inexact Rounded +rounding: half_even +fmax3602 fma 1 123456789 0.000001 -> 123456789 Inexact Rounded +rounding: half_down +fmax3603 fma 1 123456789 0.000001 -> 123456789 Inexact Rounded +rounding: floor +fmax3604 fma 1 123456789 0.000001 -> 123456789 Inexact Rounded +rounding: ceiling +fmax3605 fma 1 123456789 0.000001 -> 123456790 Inexact Rounded +rounding: up +fmax3606 fma 1 123456789 0.000001 -> 123456790 Inexact Rounded +rounding: down +fmax3607 fma 1 123456789 0.000001 -> 123456789 Inexact Rounded + +rounding: half_up +fmax3611 fma 1 123456789 -0.000001 -> 123456789 Inexact Rounded +rounding: half_even +fmax3612 fma 1 123456789 -0.000001 -> 123456789 Inexact Rounded +rounding: half_down +fmax3613 fma 1 123456789 -0.000001 -> 123456789 Inexact Rounded +rounding: floor +fmax3614 fma 1 123456789 -0.000001 -> 123456788 Inexact Rounded +rounding: ceiling +fmax3615 fma 1 123456789 -0.000001 -> 123456789 Inexact Rounded +rounding: up +fmax3616 fma 1 123456789 -0.000001 -> 123456789 Inexact Rounded +rounding: down +fmax3617 fma 1 123456789 -0.000001 -> 123456788 Inexact Rounded + +rounding: half_up +fmax3621 fma 1 123456789 0.499999 -> 123456789 Inexact Rounded +rounding: half_even +fmax3622 fma 1 123456789 0.499999 -> 123456789 Inexact Rounded +rounding: half_down +fmax3623 fma 1 123456789 0.499999 -> 123456789 Inexact Rounded +rounding: floor +fmax3624 fma 1 123456789 0.499999 -> 123456789 Inexact Rounded +rounding: ceiling +fmax3625 fma 1 123456789 0.499999 -> 123456790 Inexact Rounded +rounding: up +fmax3626 fma 1 123456789 0.499999 -> 123456790 Inexact Rounded +rounding: down +fmax3627 fma 1 123456789 0.499999 -> 123456789 Inexact Rounded + +rounding: half_up +fmax3631 fma 1 123456789 -0.499999 -> 123456789 Inexact Rounded +rounding: half_even +fmax3632 fma 1 123456789 -0.499999 -> 123456789 Inexact Rounded +rounding: half_down +fmax3633 fma 1 123456789 -0.499999 -> 123456789 Inexact Rounded +rounding: floor +fmax3634 fma 1 123456789 -0.499999 -> 123456788 Inexact Rounded +rounding: ceiling +fmax3635 fma 1 123456789 -0.499999 -> 123456789 Inexact Rounded +rounding: up +fmax3636 fma 1 123456789 -0.499999 -> 123456789 Inexact Rounded +rounding: down +fmax3637 fma 1 123456789 -0.499999 -> 123456788 Inexact Rounded + +rounding: half_up +fmax3641 fma 1 123456789 0.500001 -> 123456790 Inexact Rounded +rounding: half_even +fmax3642 fma 1 123456789 0.500001 -> 123456790 Inexact Rounded +rounding: half_down +fmax3643 fma 1 123456789 0.500001 -> 123456790 Inexact Rounded +rounding: floor +fmax3644 fma 1 123456789 0.500001 -> 123456789 Inexact Rounded +rounding: ceiling +fmax3645 fma 1 123456789 0.500001 -> 123456790 Inexact Rounded +rounding: up +fmax3646 fma 1 123456789 0.500001 -> 123456790 Inexact Rounded +rounding: down +fmax3647 fma 1 123456789 0.500001 -> 123456789 Inexact Rounded + +rounding: half_up +fmax3651 fma 1 123456789 -0.500001 -> 123456788 Inexact Rounded +rounding: half_even +fmax3652 fma 1 123456789 -0.500001 -> 123456788 Inexact Rounded +rounding: half_down +fmax3653 fma 1 123456789 -0.500001 -> 123456788 Inexact Rounded +rounding: floor +fmax3654 fma 1 123456789 -0.500001 -> 123456788 Inexact Rounded +rounding: ceiling +fmax3655 fma 1 123456789 -0.500001 -> 123456789 Inexact Rounded +rounding: up +fmax3656 fma 1 123456789 -0.500001 -> 123456789 Inexact Rounded +rounding: down +fmax3657 fma 1 123456789 -0.500001 -> 123456788 Inexact Rounded + +-- long operand triangle +rounding: half_up +precision: 37 +fmax3660 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337114834538 +precision: 36 +fmax3661 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711483454 Inexact Rounded +precision: 35 +fmax3662 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371148345 Inexact Rounded +precision: 34 +fmax3663 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337114835 Inexact Rounded +precision: 33 +fmax3664 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711483 Inexact Rounded +precision: 32 +fmax3665 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371148 Inexact Rounded +precision: 31 +fmax3666 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337115 Inexact Rounded +precision: 30 +fmax3667 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711 Inexact Rounded +precision: 29 +fmax3668 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371 Inexact Rounded +precision: 28 +fmax3669 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337 Inexact Rounded +precision: 27 +fmax3670 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892234 Inexact Rounded +precision: 26 +fmax3671 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223 Inexact Rounded +precision: 25 +fmax3672 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922 Inexact Rounded +precision: 24 +fmax3673 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892 Inexact Rounded +precision: 23 +fmax3674 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389 Inexact Rounded +precision: 22 +fmax3675 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023639 Inexact Rounded +precision: 21 +fmax3676 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102364 Inexact Rounded +precision: 20 +fmax3677 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236 Inexact Rounded +precision: 19 +fmax3678 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211024 Inexact Rounded +precision: 18 +fmax3679 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102 Inexact Rounded +precision: 17 +fmax3680 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110 Inexact Rounded +precision: 16 +fmax3681 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211 Inexact Rounded +precision: 15 +fmax3682 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221 Inexact Rounded +precision: 14 +fmax3683 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422 Inexact Rounded +precision: 13 +fmax3684 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42 Inexact Rounded +precision: 12 +fmax3685 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4 Inexact Rounded +precision: 11 +fmax3686 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166 Inexact Rounded +precision: 10 +fmax3687 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847117417E+10 Inexact Rounded +precision: 9 +fmax3688 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.84711742E+10 Inexact Rounded +precision: 8 +fmax3689 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8471174E+10 Inexact Rounded +precision: 7 +fmax3690 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847117E+10 Inexact Rounded +precision: 6 +fmax3691 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.84712E+10 Inexact Rounded +precision: 5 +fmax3692 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8471E+10 Inexact Rounded +precision: 4 +fmax3693 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847E+10 Inexact Rounded +precision: 3 +fmax3694 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.85E+10 Inexact Rounded +precision: 2 +fmax3695 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8E+10 Inexact Rounded +precision: 1 +fmax3696 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 1E+11 Inexact Rounded + +-- more zeros, etc. +rounding: half_up +precision: 9 + +fmax3701 fma 1 5.00 1.00E-3 -> 5.00100 +fmax3702 fma 1 00.00 0.000 -> 0.000 +fmax3703 fma 1 00.00 0E-3 -> 0.000 +fmax3704 fma 1 0E-3 00.00 -> 0.000 + +fmax3710 fma 1 0E+3 00.00 -> 0.00 +fmax3711 fma 1 0E+3 00.0 -> 0.0 +fmax3712 fma 1 0E+3 00. -> 0 +fmax3713 fma 1 0E+3 00.E+1 -> 0E+1 +fmax3714 fma 1 0E+3 00.E+2 -> 0E+2 +fmax3715 fma 1 0E+3 00.E+3 -> 0E+3 +fmax3716 fma 1 0E+3 00.E+4 -> 0E+3 +fmax3717 fma 1 0E+3 00.E+5 -> 0E+3 +fmax3718 fma 1 0E+3 -00.0 -> 0.0 +fmax3719 fma 1 0E+3 -00. -> 0 +fmax3731 fma 1 0E+3 -00.E+1 -> 0E+1 + +fmax3720 fma 1 00.00 0E+3 -> 0.00 +fmax3721 fma 1 00.0 0E+3 -> 0.0 +fmax3722 fma 1 00. 0E+3 -> 0 +fmax3723 fma 1 00.E+1 0E+3 -> 0E+1 +fmax3724 fma 1 00.E+2 0E+3 -> 0E+2 +fmax3725 fma 1 00.E+3 0E+3 -> 0E+3 +fmax3726 fma 1 00.E+4 0E+3 -> 0E+3 +fmax3727 fma 1 00.E+5 0E+3 -> 0E+3 +fmax3728 fma 1 -00.00 0E+3 -> 0.00 +fmax3729 fma 1 -00.0 0E+3 -> 0.0 +fmax3730 fma 1 -00. 0E+3 -> 0 + +fmax3732 fma 1 0 0 -> 0 +fmax3733 fma 1 0 -0 -> 0 +fmax3734 fma 1 -0 0 -> 0 +fmax3735 fma 1 -0 -0 -> -0 -- IEEE 854 special case + +fmax3736 fma 1 1 -1 -> 0 +fmax3737 fma 1 -1 -1 -> -2 +fmax3738 fma 1 1 1 -> 2 +fmax3739 fma 1 -1 1 -> 0 + +fmax3741 fma 1 0 -1 -> -1 +fmax3742 fma 1 -0 -1 -> -1 +fmax3743 fma 1 0 1 -> 1 +fmax3744 fma 1 -0 1 -> 1 +fmax3745 fma 1 -1 0 -> -1 +fmax3746 fma 1 -1 -0 -> -1 +fmax3747 fma 1 1 0 -> 1 +fmax3748 fma 1 1 -0 -> 1 + +fmax3751 fma 1 0.0 -1 -> -1.0 +fmax3752 fma 1 -0.0 -1 -> -1.0 +fmax3753 fma 1 0.0 1 -> 1.0 +fmax3754 fma 1 -0.0 1 -> 1.0 +fmax3755 fma 1 -1.0 0 -> -1.0 +fmax3756 fma 1 -1.0 -0 -> -1.0 +fmax3757 fma 1 1.0 0 -> 1.0 +fmax3758 fma 1 1.0 -0 -> 1.0 + +fmax3761 fma 1 0 -1.0 -> -1.0 +fmax3762 fma 1 -0 -1.0 -> -1.0 +fmax3763 fma 1 0 1.0 -> 1.0 +fmax3764 fma 1 -0 1.0 -> 1.0 +fmax3765 fma 1 -1 0.0 -> -1.0 +fmax3766 fma 1 -1 -0.0 -> -1.0 +fmax3767 fma 1 1 0.0 -> 1.0 +fmax3768 fma 1 1 -0.0 -> 1.0 + +fmax3771 fma 1 0.0 -1.0 -> -1.0 +fmax3772 fma 1 -0.0 -1.0 -> -1.0 +fmax3773 fma 1 0.0 1.0 -> 1.0 +fmax3774 fma 1 -0.0 1.0 -> 1.0 +fmax3775 fma 1 -1.0 0.0 -> -1.0 +fmax3776 fma 1 -1.0 -0.0 -> -1.0 +fmax3777 fma 1 1.0 0.0 -> 1.0 +fmax3778 fma 1 1.0 -0.0 -> 1.0 + +-- Specials +fmax3780 fma 1 -Inf -Inf -> -Infinity +fmax3781 fma 1 -Inf -1000 -> -Infinity +fmax3782 fma 1 -Inf -1 -> -Infinity +fmax3783 fma 1 -Inf -0 -> -Infinity +fmax3784 fma 1 -Inf 0 -> -Infinity +fmax3785 fma 1 -Inf 1 -> -Infinity +fmax3786 fma 1 -Inf 1000 -> -Infinity +fmax3787 fma 1 -1000 -Inf -> -Infinity +fmax3788 fma 1 -Inf -Inf -> -Infinity +fmax3789 fma 1 -1 -Inf -> -Infinity +fmax3790 fma 1 -0 -Inf -> -Infinity +fmax3791 fma 1 0 -Inf -> -Infinity +fmax3792 fma 1 1 -Inf -> -Infinity +fmax3793 fma 1 1000 -Inf -> -Infinity +fmax3794 fma 1 Inf -Inf -> NaN Invalid_operation + +fmax3800 fma 1 Inf -Inf -> NaN Invalid_operation +fmax3801 fma 1 Inf -1000 -> Infinity +fmax3802 fma 1 Inf -1 -> Infinity +fmax3803 fma 1 Inf -0 -> Infinity +fmax3804 fma 1 Inf 0 -> Infinity +fmax3805 fma 1 Inf 1 -> Infinity +fmax3806 fma 1 Inf 1000 -> Infinity +fmax3807 fma 1 Inf Inf -> Infinity +fmax3808 fma 1 -1000 Inf -> Infinity +fmax3809 fma 1 -Inf Inf -> NaN Invalid_operation +fmax3810 fma 1 -1 Inf -> Infinity +fmax3811 fma 1 -0 Inf -> Infinity +fmax3812 fma 1 0 Inf -> Infinity +fmax3813 fma 1 1 Inf -> Infinity +fmax3814 fma 1 1000 Inf -> Infinity +fmax3815 fma 1 Inf Inf -> Infinity + +fmax3821 fma 1 NaN -Inf -> NaN +fmax3822 fma 1 NaN -1000 -> NaN +fmax3823 fma 1 NaN -1 -> NaN +fmax3824 fma 1 NaN -0 -> NaN +fmax3825 fma 1 NaN 0 -> NaN +fmax3826 fma 1 NaN 1 -> NaN +fmax3827 fma 1 NaN 1000 -> NaN +fmax3828 fma 1 NaN Inf -> NaN +fmax3829 fma 1 NaN NaN -> NaN +fmax3830 fma 1 -Inf NaN -> NaN +fmax3831 fma 1 -1000 NaN -> NaN +fmax3832 fma 1 -1 NaN -> NaN +fmax3833 fma 1 -0 NaN -> NaN +fmax3834 fma 1 0 NaN -> NaN +fmax3835 fma 1 1 NaN -> NaN +fmax3836 fma 1 1000 NaN -> NaN +fmax3837 fma 1 Inf NaN -> NaN + +fmax3841 fma 1 sNaN -Inf -> NaN Invalid_operation +fmax3842 fma 1 sNaN -1000 -> NaN Invalid_operation +fmax3843 fma 1 sNaN -1 -> NaN Invalid_operation +fmax3844 fma 1 sNaN -0 -> NaN Invalid_operation +fmax3845 fma 1 sNaN 0 -> NaN Invalid_operation +fmax3846 fma 1 sNaN 1 -> NaN Invalid_operation +fmax3847 fma 1 sNaN 1000 -> NaN Invalid_operation +fmax3848 fma 1 sNaN NaN -> NaN Invalid_operation +fmax3849 fma 1 sNaN sNaN -> NaN Invalid_operation +fmax3850 fma 1 NaN sNaN -> NaN Invalid_operation +fmax3851 fma 1 -Inf sNaN -> NaN Invalid_operation +fmax3852 fma 1 -1000 sNaN -> NaN Invalid_operation +fmax3853 fma 1 -1 sNaN -> NaN Invalid_operation +fmax3854 fma 1 -0 sNaN -> NaN Invalid_operation +fmax3855 fma 1 0 sNaN -> NaN Invalid_operation +fmax3856 fma 1 1 sNaN -> NaN Invalid_operation +fmax3857 fma 1 1000 sNaN -> NaN Invalid_operation +fmax3858 fma 1 Inf sNaN -> NaN Invalid_operation +fmax3859 fma 1 NaN sNaN -> NaN Invalid_operation + +-- propagating NaNs +fmax3861 fma 1 NaN1 -Inf -> NaN1 +fmax3862 fma 1 +NaN2 -1000 -> NaN2 +fmax3863 fma 1 NaN3 1000 -> NaN3 +fmax3864 fma 1 NaN4 Inf -> NaN4 +fmax3865 fma 1 NaN5 +NaN6 -> NaN5 +fmax3866 fma 1 -Inf NaN7 -> NaN7 +fmax3867 fma 1 -1000 NaN8 -> NaN8 +fmax3868 fma 1 1000 NaN9 -> NaN9 +fmax3869 fma 1 Inf +NaN10 -> NaN10 +fmax3871 fma 1 sNaN11 -Inf -> NaN11 Invalid_operation +fmax3872 fma 1 sNaN12 -1000 -> NaN12 Invalid_operation +fmax3873 fma 1 sNaN13 1000 -> NaN13 Invalid_operation +fmax3874 fma 1 sNaN14 NaN17 -> NaN14 Invalid_operation +fmax3875 fma 1 sNaN15 sNaN18 -> NaN15 Invalid_operation +fmax3876 fma 1 NaN16 sNaN19 -> NaN19 Invalid_operation +fmax3877 fma 1 -Inf +sNaN20 -> NaN20 Invalid_operation +fmax3878 fma 1 -1000 sNaN21 -> NaN21 Invalid_operation +fmax3879 fma 1 1000 sNaN22 -> NaN22 Invalid_operation +fmax3880 fma 1 Inf sNaN23 -> NaN23 Invalid_operation +fmax3881 fma 1 +NaN25 +sNaN24 -> NaN24 Invalid_operation +fmax3882 fma 1 -NaN26 NaN28 -> -NaN26 +fmax3883 fma 1 -sNaN27 sNaN29 -> -NaN27 Invalid_operation +fmax3884 fma 1 1000 -NaN30 -> -NaN30 +fmax3885 fma 1 1000 -sNaN31 -> -NaN31 Invalid_operation + +-- overflow, underflow and subnormal tests +maxexponent: 999999 +minexponent: -999999 +precision: 9 +fmax3890 fma 1 1E+999999 9E+999999 -> Infinity Overflow Inexact Rounded +fmax3891 fma 1 9E+999999 1E+999999 -> Infinity Overflow Inexact Rounded +fmax3892 fma 1 -1.1E-999999 1E-999999 -> -1E-1000000 Subnormal +fmax3893 fma 1 1E-999999 -1.1e-999999 -> -1E-1000000 Subnormal +fmax3894 fma 1 -1.0001E-999999 1E-999999 -> -1E-1000003 Subnormal +fmax3895 fma 1 1E-999999 -1.0001e-999999 -> -1E-1000003 Subnormal +fmax3896 fma 1 -1E+999999 -9E+999999 -> -Infinity Overflow Inexact Rounded +fmax3897 fma 1 -9E+999999 -1E+999999 -> -Infinity Overflow Inexact Rounded +fmax3898 fma 1 +1.1E-999999 -1E-999999 -> 1E-1000000 Subnormal +fmax3899 fma 1 -1E-999999 +1.1e-999999 -> 1E-1000000 Subnormal +fmax3900 fma 1 +1.0001E-999999 -1E-999999 -> 1E-1000003 Subnormal +fmax3901 fma 1 -1E-999999 +1.0001e-999999 -> 1E-1000003 Subnormal +fmax3902 fma 1 -1E+999999 +9E+999999 -> 8E+999999 +fmax3903 fma 1 -9E+999999 +1E+999999 -> -8E+999999 + +precision: 3 +fmax3904 fma 1 0 -9.999E+999999 -> -Infinity Inexact Overflow Rounded +fmax3905 fma 1 -9.999E+999999 0 -> -Infinity Inexact Overflow Rounded +fmax3906 fma 1 0 9.999E+999999 -> Infinity Inexact Overflow Rounded +fmax3907 fma 1 9.999E+999999 0 -> Infinity Inexact Overflow Rounded + +precision: 3 +maxexponent: 999 +minexponent: -999 +fmax3910 fma 1 1.00E-999 0 -> 1.00E-999 +fmax3911 fma 1 0.1E-999 0 -> 1E-1000 Subnormal +fmax3912 fma 1 0.10E-999 0 -> 1.0E-1000 Subnormal +fmax3913 fma 1 0.100E-999 0 -> 1.0E-1000 Subnormal Rounded +fmax3914 fma 1 0.01E-999 0 -> 1E-1001 Subnormal +-- next is rounded to Nmin +fmax3915 fma 1 0.999E-999 0 -> 1.00E-999 Inexact Rounded Subnormal Underflow +fmax3916 fma 1 0.099E-999 0 -> 1.0E-1000 Inexact Rounded Subnormal Underflow +fmax3917 fma 1 0.009E-999 0 -> 1E-1001 Inexact Rounded Subnormal Underflow +fmax3918 fma 1 0.001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped +fmax3919 fma 1 0.0009E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped +fmax3920 fma 1 0.0001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped + +fmax3930 fma 1 -1.00E-999 0 -> -1.00E-999 +fmax3931 fma 1 -0.1E-999 0 -> -1E-1000 Subnormal +fmax3932 fma 1 -0.10E-999 0 -> -1.0E-1000 Subnormal +fmax3933 fma 1 -0.100E-999 0 -> -1.0E-1000 Subnormal Rounded +fmax3934 fma 1 -0.01E-999 0 -> -1E-1001 Subnormal +-- next is rounded to Nmin +fmax3935 fma 1 -0.999E-999 0 -> -1.00E-999 Inexact Rounded Subnormal Underflow +fmax3936 fma 1 -0.099E-999 0 -> -1.0E-1000 Inexact Rounded Subnormal Underflow +fmax3937 fma 1 -0.009E-999 0 -> -1E-1001 Inexact Rounded Subnormal Underflow +fmax3938 fma 1 -0.001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped +fmax3939 fma 1 -0.0009E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped +fmax3940 fma 1 -0.0001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped + +-- some non-zero subnormal fma 1 s +fmax3950 fma 1 1.00E-999 0.1E-999 -> 1.10E-999 +fmax3951 fma 1 0.1E-999 0.1E-999 -> 2E-1000 Subnormal +fmax3952 fma 1 0.10E-999 0.1E-999 -> 2.0E-1000 Subnormal +fmax3953 fma 1 0.100E-999 0.1E-999 -> 2.0E-1000 Subnormal Rounded +fmax3954 fma 1 0.01E-999 0.1E-999 -> 1.1E-1000 Subnormal +fmax3955 fma 1 0.999E-999 0.1E-999 -> 1.10E-999 Inexact Rounded +fmax3956 fma 1 0.099E-999 0.1E-999 -> 2.0E-1000 Inexact Rounded Subnormal Underflow +fmax3957 fma 1 0.009E-999 0.1E-999 -> 1.1E-1000 Inexact Rounded Subnormal Underflow +fmax3958 fma 1 0.001E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow +fmax3959 fma 1 0.0009E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow +fmax3960 fma 1 0.0001E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow +-- negatives... +fmax3961 fma 1 1.00E-999 -0.1E-999 -> 9.0E-1000 Subnormal +fmax3962 fma 1 0.1E-999 -0.1E-999 -> 0E-1000 +fmax3963 fma 1 0.10E-999 -0.1E-999 -> 0E-1001 +fmax3964 fma 1 0.100E-999 -0.1E-999 -> 0E-1001 Clamped +fmax3965 fma 1 0.01E-999 -0.1E-999 -> -9E-1001 Subnormal +fmax3966 fma 1 0.999E-999 -0.1E-999 -> 9.0E-1000 Inexact Rounded Subnormal Underflow +fmax3967 fma 1 0.099E-999 -0.1E-999 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped +fmax3968 fma 1 0.009E-999 -0.1E-999 -> -9E-1001 Inexact Rounded Subnormal Underflow +fmax3969 fma 1 0.001E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow +fmax3970 fma 1 0.0009E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow +fmax3971 fma 1 0.0001E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow + +-- some 'real' numbers +maxExponent: 384 +minExponent: -383 +precision: 8 +fmax3566 fma 1 99999061735E-394 0E-394 -> 9.999906E-384 Inexact Rounded Underflow Subnormal +precision: 7 +fmax3567 fma 1 99999061735E-394 0E-394 -> 9.99991E-384 Inexact Rounded Underflow Subnormal +precision: 6 +fmax3568 fma 1 99999061735E-394 0E-394 -> 9.9999E-384 Inexact Rounded Underflow Subnormal + +-- now the case where we can get underflow but the result is normal +-- [note this can't happen if the operands are also bounded, as we +-- cannot represent 1E-399, for example] +precision: 16 +rounding: half_up +maxExponent: 384 +minExponent: -383 + +fmax3571 fma 1 1E-383 0 -> 1E-383 +fmax3572 fma 1 1E-384 0 -> 1E-384 Subnormal +fmax3573 fma 1 1E-383 1E-384 -> 1.1E-383 +fmax3574 subtract 1E-383 1E-384 -> 9E-384 Subnormal + +-- Here we explore the boundary of rounding a subnormal to Nmin +fmax3575 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal +fmax3576 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal +fmax3577 subtract 1E-383 1E-399 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded +fmax3578 subtract 1E-383 1E-400 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded +fmax3579 subtract 1E-383 1E-401 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded +fmax3580 subtract 1E-383 1E-402 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded + +-- check for double-rounded subnormals +precision: 5 +maxexponent: 79 +minexponent: -79 +-- Add: lhs and rhs 0 +fmax31001 fma 1 1.52444E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow +fmax31002 fma 1 1.52445E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow +fmax31003 fma 1 1.52446E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow +fmax31004 fma 1 0 1.52444E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow +fmax31005 fma 1 0 1.52445E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow +fmax31006 fma 1 0 1.52446E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow + +-- Add: lhs >> rhs and vice versa +fmax31011 fma 1 1.52444E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow +fmax31012 fma 1 1.52445E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow +fmax31013 fma 1 1.52446E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow +fmax31014 fma 1 1E-100 1.52444E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow +fmax31015 fma 1 1E-100 1.52445E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow +fmax31016 fma 1 1E-100 1.52446E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow + +-- Add: lhs + rhs fma 1 ition carried out +fmax31021 fma 1 1.52443E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow +fmax31022 fma 1 1.52444E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow +fmax31023 fma 1 1.52445E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow +fmax31024 fma 1 1.00001E-80 1.52443E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow +fmax31025 fma 1 1.00001E-80 1.52444E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow +fmax31026 fma 1 1.00001E-80 1.52445E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow + +-- And for round down full and subnormal results +precision: 16 +maxExponent: +384 +minExponent: -383 +rounding: down + +fmax31100 fma 1 1e+2 -1e-383 -> 99.99999999999999 Rounded Inexact +fmax31101 fma 1 1e+1 -1e-383 -> 9.999999999999999 Rounded Inexact +fmax31103 fma 1 +1 -1e-383 -> 0.9999999999999999 Rounded Inexact +fmax31104 fma 1 1e-1 -1e-383 -> 0.09999999999999999 Rounded Inexact +fmax31105 fma 1 1e-2 -1e-383 -> 0.009999999999999999 Rounded Inexact +fmax31106 fma 1 1e-3 -1e-383 -> 0.0009999999999999999 Rounded Inexact +fmax31107 fma 1 1e-4 -1e-383 -> 0.00009999999999999999 Rounded Inexact +fmax31108 fma 1 1e-5 -1e-383 -> 0.000009999999999999999 Rounded Inexact +fmax31109 fma 1 1e-6 -1e-383 -> 9.999999999999999E-7 Rounded Inexact + +rounding: ceiling +fmax31110 fma 1 -1e+2 +1e-383 -> -99.99999999999999 Rounded Inexact +fmax31111 fma 1 -1e+1 +1e-383 -> -9.999999999999999 Rounded Inexact +fmax31113 fma 1 -1 +1e-383 -> -0.9999999999999999 Rounded Inexact +fmax31114 fma 1 -1e-1 +1e-383 -> -0.09999999999999999 Rounded Inexact +fmax31115 fma 1 -1e-2 +1e-383 -> -0.009999999999999999 Rounded Inexact +fmax31116 fma 1 -1e-3 +1e-383 -> -0.0009999999999999999 Rounded Inexact +fmax31117 fma 1 -1e-4 +1e-383 -> -0.00009999999999999999 Rounded Inexact +fmax31118 fma 1 -1e-5 +1e-383 -> -0.000009999999999999999 Rounded Inexact +fmax31119 fma 1 -1e-6 +1e-383 -> -9.999999999999999E-7 Rounded Inexact + +rounding: down +precision: 7 +maxExponent: +96 +minExponent: -95 +fmax31130 fma 1 1 -1e-200 -> 0.9999999 Rounded Inexact +-- subnormal boundary +fmax31131 fma 1 1.000000E-94 -1e-200 -> 9.999999E-95 Rounded Inexact +fmax31132 fma 1 1.000001E-95 -1e-200 -> 1.000000E-95 Rounded Inexact +fmax31133 fma 1 1.000000E-95 -1e-200 -> 9.99999E-96 Rounded Inexact Subnormal Underflow +fmax31134 fma 1 0.999999E-95 -1e-200 -> 9.99998E-96 Rounded Inexact Subnormal Underflow +fmax31135 fma 1 0.001000E-95 -1e-200 -> 9.99E-99 Rounded Inexact Subnormal Underflow +fmax31136 fma 1 0.000999E-95 -1e-200 -> 9.98E-99 Rounded Inexact Subnormal Underflow +fmax31137 fma 1 1.000000E-95 -1e-101 -> 9.99999E-96 Subnormal +fmax31138 fma 1 10000E-101 -1e-200 -> 9.999E-98 Subnormal Inexact Rounded Underflow +fmax31139 fma 1 1000E-101 -1e-200 -> 9.99E-99 Subnormal Inexact Rounded Underflow +fmax31140 fma 1 100E-101 -1e-200 -> 9.9E-100 Subnormal Inexact Rounded Underflow +fmax31141 fma 1 10E-101 -1e-200 -> 9E-101 Subnormal Inexact Rounded Underflow +fmax31142 fma 1 1E-101 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped +fmax31143 fma 1 0E-101 -1e-200 -> -0E-101 Subnormal Inexact Rounded Underflow Clamped +fmax31144 fma 1 1E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped + +fmax31151 fma 1 10000E-102 -1e-200 -> 9.99E-99 Subnormal Inexact Rounded Underflow +fmax31152 fma 1 1000E-102 -1e-200 -> 9.9E-100 Subnormal Inexact Rounded Underflow +fmax31153 fma 1 100E-102 -1e-200 -> 9E-101 Subnormal Inexact Rounded Underflow +fmax31154 fma 1 10E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped +fmax31155 fma 1 1E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped +fmax31156 fma 1 0E-102 -1e-200 -> -0E-101 Subnormal Inexact Rounded Underflow Clamped +fmax31157 fma 1 1E-103 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped + +fmax31160 fma 1 100E-105 -1e-101 -> -0E-101 Subnormal Inexact Rounded Underflow Clamped +fmax31161 fma 1 100E-105 -1e-201 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped + +-- tests based on Gunnar Degnbol's edge case +precision: 15 +rounding: half_up +maxExponent: 384 +minexponent: -383 + +fmax31200 fma 1 1E15 -0.5 -> 1.00000000000000E+15 Inexact Rounded +fmax31201 fma 1 1E15 -0.50 -> 1.00000000000000E+15 Inexact Rounded +fmax31210 fma 1 1E15 -0.51 -> 999999999999999 Inexact Rounded +fmax31211 fma 1 1E15 -0.501 -> 999999999999999 Inexact Rounded +fmax31212 fma 1 1E15 -0.5001 -> 999999999999999 Inexact Rounded +fmax31213 fma 1 1E15 -0.50001 -> 999999999999999 Inexact Rounded +fmax31214 fma 1 1E15 -0.500001 -> 999999999999999 Inexact Rounded +fmax31215 fma 1 1E15 -0.5000001 -> 999999999999999 Inexact Rounded +fmax31216 fma 1 1E15 -0.50000001 -> 999999999999999 Inexact Rounded +fmax31217 fma 1 1E15 -0.500000001 -> 999999999999999 Inexact Rounded +fmax31218 fma 1 1E15 -0.5000000001 -> 999999999999999 Inexact Rounded +fmax31219 fma 1 1E15 -0.50000000001 -> 999999999999999 Inexact Rounded +fmax31220 fma 1 1E15 -0.500000000001 -> 999999999999999 Inexact Rounded +fmax31221 fma 1 1E15 -0.5000000000001 -> 999999999999999 Inexact Rounded +fmax31222 fma 1 1E15 -0.50000000000001 -> 999999999999999 Inexact Rounded +fmax31223 fma 1 1E15 -0.500000000000001 -> 999999999999999 Inexact Rounded +fmax31224 fma 1 1E15 -0.5000000000000001 -> 999999999999999 Inexact Rounded +fmax31225 fma 1 1E15 -0.5000000000000000 -> 1.00000000000000E+15 Inexact Rounded +fmax31230 fma 1 1E15 -5000000.000000001 -> 999999995000000 Inexact Rounded + +precision: 16 + +fmax31300 fma 1 1E16 -0.5 -> 1.000000000000000E+16 Inexact Rounded +fmax31310 fma 1 1E16 -0.51 -> 9999999999999999 Inexact Rounded +fmax31311 fma 1 1E16 -0.501 -> 9999999999999999 Inexact Rounded +fmax31312 fma 1 1E16 -0.5001 -> 9999999999999999 Inexact Rounded +fmax31313 fma 1 1E16 -0.50001 -> 9999999999999999 Inexact Rounded +fmax31314 fma 1 1E16 -0.500001 -> 9999999999999999 Inexact Rounded +fmax31315 fma 1 1E16 -0.5000001 -> 9999999999999999 Inexact Rounded +fmax31316 fma 1 1E16 -0.50000001 -> 9999999999999999 Inexact Rounded +fmax31317 fma 1 1E16 -0.500000001 -> 9999999999999999 Inexact Rounded +fmax31318 fma 1 1E16 -0.5000000001 -> 9999999999999999 Inexact Rounded +fmax31319 fma 1 1E16 -0.50000000001 -> 9999999999999999 Inexact Rounded +fmax31320 fma 1 1E16 -0.500000000001 -> 9999999999999999 Inexact Rounded +fmax31321 fma 1 1E16 -0.5000000000001 -> 9999999999999999 Inexact Rounded +fmax31322 fma 1 1E16 -0.50000000000001 -> 9999999999999999 Inexact Rounded +fmax31323 fma 1 1E16 -0.500000000000001 -> 9999999999999999 Inexact Rounded +fmax31324 fma 1 1E16 -0.5000000000000001 -> 9999999999999999 Inexact Rounded +fmax31325 fma 1 1E16 -0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded +fmax31326 fma 1 1E16 -0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded +fmax31327 fma 1 1E16 -0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded +fmax31328 fma 1 1E16 -0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded +fmax31329 fma 1 1E16 -0.500000000000 -> 1.000000000000000E+16 Inexact Rounded +fmax31330 fma 1 1E16 -0.50000000000 -> 1.000000000000000E+16 Inexact Rounded +fmax31331 fma 1 1E16 -0.5000000000 -> 1.000000000000000E+16 Inexact Rounded +fmax31332 fma 1 1E16 -0.500000000 -> 1.000000000000000E+16 Inexact Rounded +fmax31333 fma 1 1E16 -0.50000000 -> 1.000000000000000E+16 Inexact Rounded +fmax31334 fma 1 1E16 -0.5000000 -> 1.000000000000000E+16 Inexact Rounded +fmax31335 fma 1 1E16 -0.500000 -> 1.000000000000000E+16 Inexact Rounded +fmax31336 fma 1 1E16 -0.50000 -> 1.000000000000000E+16 Inexact Rounded +fmax31337 fma 1 1E16 -0.5000 -> 1.000000000000000E+16 Inexact Rounded +fmax31338 fma 1 1E16 -0.500 -> 1.000000000000000E+16 Inexact Rounded +fmax31339 fma 1 1E16 -0.50 -> 1.000000000000000E+16 Inexact Rounded + +fmax31340 fma 1 1E16 -5000000.000010001 -> 9999999995000000 Inexact Rounded +fmax31341 fma 1 1E16 -5000000.000000001 -> 9999999995000000 Inexact Rounded + +fmax31349 fma 1 9999999999999999 0.4 -> 9999999999999999 Inexact Rounded +fmax31350 fma 1 9999999999999999 0.49 -> 9999999999999999 Inexact Rounded +fmax31351 fma 1 9999999999999999 0.499 -> 9999999999999999 Inexact Rounded +fmax31352 fma 1 9999999999999999 0.4999 -> 9999999999999999 Inexact Rounded +fmax31353 fma 1 9999999999999999 0.49999 -> 9999999999999999 Inexact Rounded +fmax31354 fma 1 9999999999999999 0.499999 -> 9999999999999999 Inexact Rounded +fmax31355 fma 1 9999999999999999 0.4999999 -> 9999999999999999 Inexact Rounded +fmax31356 fma 1 9999999999999999 0.49999999 -> 9999999999999999 Inexact Rounded +fmax31357 fma 1 9999999999999999 0.499999999 -> 9999999999999999 Inexact Rounded +fmax31358 fma 1 9999999999999999 0.4999999999 -> 9999999999999999 Inexact Rounded +fmax31359 fma 1 9999999999999999 0.49999999999 -> 9999999999999999 Inexact Rounded +fmax31360 fma 1 9999999999999999 0.499999999999 -> 9999999999999999 Inexact Rounded +fmax31361 fma 1 9999999999999999 0.4999999999999 -> 9999999999999999 Inexact Rounded +fmax31362 fma 1 9999999999999999 0.49999999999999 -> 9999999999999999 Inexact Rounded +fmax31363 fma 1 9999999999999999 0.499999999999999 -> 9999999999999999 Inexact Rounded +fmax31364 fma 1 9999999999999999 0.4999999999999999 -> 9999999999999999 Inexact Rounded +fmax31365 fma 1 9999999999999999 0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded +fmax31367 fma 1 9999999999999999 0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded +fmax31368 fma 1 9999999999999999 0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded +fmax31369 fma 1 9999999999999999 0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded +fmax31370 fma 1 9999999999999999 0.500000000000 -> 1.000000000000000E+16 Inexact Rounded +fmax31371 fma 1 9999999999999999 0.50000000000 -> 1.000000000000000E+16 Inexact Rounded +fmax31372 fma 1 9999999999999999 0.5000000000 -> 1.000000000000000E+16 Inexact Rounded +fmax31373 fma 1 9999999999999999 0.500000000 -> 1.000000000000000E+16 Inexact Rounded +fmax31374 fma 1 9999999999999999 0.50000000 -> 1.000000000000000E+16 Inexact Rounded +fmax31375 fma 1 9999999999999999 0.5000000 -> 1.000000000000000E+16 Inexact Rounded +fmax31376 fma 1 9999999999999999 0.500000 -> 1.000000000000000E+16 Inexact Rounded +fmax31377 fma 1 9999999999999999 0.50000 -> 1.000000000000000E+16 Inexact Rounded +fmax31378 fma 1 9999999999999999 0.5000 -> 1.000000000000000E+16 Inexact Rounded +fmax31379 fma 1 9999999999999999 0.500 -> 1.000000000000000E+16 Inexact Rounded +fmax31380 fma 1 9999999999999999 0.50 -> 1.000000000000000E+16 Inexact Rounded +fmax31381 fma 1 9999999999999999 0.5 -> 1.000000000000000E+16 Inexact Rounded +fmax31382 fma 1 9999999999999999 0.5000000000000001 -> 1.000000000000000E+16 Inexact Rounded +fmax31383 fma 1 9999999999999999 0.500000000000001 -> 1.000000000000000E+16 Inexact Rounded +fmax31384 fma 1 9999999999999999 0.50000000000001 -> 1.000000000000000E+16 Inexact Rounded +fmax31385 fma 1 9999999999999999 0.5000000000001 -> 1.000000000000000E+16 Inexact Rounded +fmax31386 fma 1 9999999999999999 0.500000000001 -> 1.000000000000000E+16 Inexact Rounded +fmax31387 fma 1 9999999999999999 0.50000000001 -> 1.000000000000000E+16 Inexact Rounded +fmax31388 fma 1 9999999999999999 0.5000000001 -> 1.000000000000000E+16 Inexact Rounded +fmax31389 fma 1 9999999999999999 0.500000001 -> 1.000000000000000E+16 Inexact Rounded +fmax31390 fma 1 9999999999999999 0.50000001 -> 1.000000000000000E+16 Inexact Rounded +fmax31391 fma 1 9999999999999999 0.5000001 -> 1.000000000000000E+16 Inexact Rounded +fmax31392 fma 1 9999999999999999 0.500001 -> 1.000000000000000E+16 Inexact Rounded +fmax31393 fma 1 9999999999999999 0.50001 -> 1.000000000000000E+16 Inexact Rounded +fmax31394 fma 1 9999999999999999 0.5001 -> 1.000000000000000E+16 Inexact Rounded +fmax31395 fma 1 9999999999999999 0.501 -> 1.000000000000000E+16 Inexact Rounded +fmax31396 fma 1 9999999999999999 0.51 -> 1.000000000000000E+16 Inexact Rounded + +-- More GD edge cases, where difference between the unadjusted +-- exponents is larger than the maximum precision and one side is 0 +precision: 15 +rounding: half_up +maxExponent: 384 +minexponent: -383 + +fmax31400 fma 1 0 1.23456789012345 -> 1.23456789012345 +fmax31401 fma 1 0 1.23456789012345E-1 -> 0.123456789012345 +fmax31402 fma 1 0 1.23456789012345E-2 -> 0.0123456789012345 +fmax31403 fma 1 0 1.23456789012345E-3 -> 0.00123456789012345 +fmax31404 fma 1 0 1.23456789012345E-4 -> 0.000123456789012345 +fmax31405 fma 1 0 1.23456789012345E-5 -> 0.0000123456789012345 +fmax31406 fma 1 0 1.23456789012345E-6 -> 0.00000123456789012345 +fmax31407 fma 1 0 1.23456789012345E-7 -> 1.23456789012345E-7 +fmax31408 fma 1 0 1.23456789012345E-8 -> 1.23456789012345E-8 +fmax31409 fma 1 0 1.23456789012345E-9 -> 1.23456789012345E-9 +fmax31410 fma 1 0 1.23456789012345E-10 -> 1.23456789012345E-10 +fmax31411 fma 1 0 1.23456789012345E-11 -> 1.23456789012345E-11 +fmax31412 fma 1 0 1.23456789012345E-12 -> 1.23456789012345E-12 +fmax31413 fma 1 0 1.23456789012345E-13 -> 1.23456789012345E-13 +fmax31414 fma 1 0 1.23456789012345E-14 -> 1.23456789012345E-14 +fmax31415 fma 1 0 1.23456789012345E-15 -> 1.23456789012345E-15 +fmax31416 fma 1 0 1.23456789012345E-16 -> 1.23456789012345E-16 +fmax31417 fma 1 0 1.23456789012345E-17 -> 1.23456789012345E-17 +fmax31418 fma 1 0 1.23456789012345E-18 -> 1.23456789012345E-18 +fmax31419 fma 1 0 1.23456789012345E-19 -> 1.23456789012345E-19 + +-- same, precision 16.. +precision: 16 +fmax31420 fma 1 0 1.123456789012345 -> 1.123456789012345 +fmax31421 fma 1 0 1.123456789012345E-1 -> 0.1123456789012345 +fmax31422 fma 1 0 1.123456789012345E-2 -> 0.01123456789012345 +fmax31423 fma 1 0 1.123456789012345E-3 -> 0.001123456789012345 +fmax31424 fma 1 0 1.123456789012345E-4 -> 0.0001123456789012345 +fmax31425 fma 1 0 1.123456789012345E-5 -> 0.00001123456789012345 +fmax31426 fma 1 0 1.123456789012345E-6 -> 0.000001123456789012345 +fmax31427 fma 1 0 1.123456789012345E-7 -> 1.123456789012345E-7 +fmax31428 fma 1 0 1.123456789012345E-8 -> 1.123456789012345E-8 +fmax31429 fma 1 0 1.123456789012345E-9 -> 1.123456789012345E-9 +fmax31430 fma 1 0 1.123456789012345E-10 -> 1.123456789012345E-10 +fmax31431 fma 1 0 1.123456789012345E-11 -> 1.123456789012345E-11 +fmax31432 fma 1 0 1.123456789012345E-12 -> 1.123456789012345E-12 +fmax31433 fma 1 0 1.123456789012345E-13 -> 1.123456789012345E-13 +fmax31434 fma 1 0 1.123456789012345E-14 -> 1.123456789012345E-14 +fmax31435 fma 1 0 1.123456789012345E-15 -> 1.123456789012345E-15 +fmax31436 fma 1 0 1.123456789012345E-16 -> 1.123456789012345E-16 +fmax31437 fma 1 0 1.123456789012345E-17 -> 1.123456789012345E-17 +fmax31438 fma 1 0 1.123456789012345E-18 -> 1.123456789012345E-18 +fmax31439 fma 1 0 1.123456789012345E-19 -> 1.123456789012345E-19 + +-- same, reversed 0 +fmax31440 fma 1 1.123456789012345 0 -> 1.123456789012345 +fmax31441 fma 1 1.123456789012345E-1 0 -> 0.1123456789012345 +fmax31442 fma 1 1.123456789012345E-2 0 -> 0.01123456789012345 +fmax31443 fma 1 1.123456789012345E-3 0 -> 0.001123456789012345 +fmax31444 fma 1 1.123456789012345E-4 0 -> 0.0001123456789012345 +fmax31445 fma 1 1.123456789012345E-5 0 -> 0.00001123456789012345 +fmax31446 fma 1 1.123456789012345E-6 0 -> 0.000001123456789012345 +fmax31447 fma 1 1.123456789012345E-7 0 -> 1.123456789012345E-7 +fmax31448 fma 1 1.123456789012345E-8 0 -> 1.123456789012345E-8 +fmax31449 fma 1 1.123456789012345E-9 0 -> 1.123456789012345E-9 +fmax31450 fma 1 1.123456789012345E-10 0 -> 1.123456789012345E-10 +fmax31451 fma 1 1.123456789012345E-11 0 -> 1.123456789012345E-11 +fmax31452 fma 1 1.123456789012345E-12 0 -> 1.123456789012345E-12 +fmax31453 fma 1 1.123456789012345E-13 0 -> 1.123456789012345E-13 +fmax31454 fma 1 1.123456789012345E-14 0 -> 1.123456789012345E-14 +fmax31455 fma 1 1.123456789012345E-15 0 -> 1.123456789012345E-15 +fmax31456 fma 1 1.123456789012345E-16 0 -> 1.123456789012345E-16 +fmax31457 fma 1 1.123456789012345E-17 0 -> 1.123456789012345E-17 +fmax31458 fma 1 1.123456789012345E-18 0 -> 1.123456789012345E-18 +fmax31459 fma 1 1.123456789012345E-19 0 -> 1.123456789012345E-19 + +-- same, Es on the 0 +fmax31460 fma 1 1.123456789012345 0E-0 -> 1.123456789012345 +fmax31461 fma 1 1.123456789012345 0E-1 -> 1.123456789012345 +fmax31462 fma 1 1.123456789012345 0E-2 -> 1.123456789012345 +fmax31463 fma 1 1.123456789012345 0E-3 -> 1.123456789012345 +fmax31464 fma 1 1.123456789012345 0E-4 -> 1.123456789012345 +fmax31465 fma 1 1.123456789012345 0E-5 -> 1.123456789012345 +fmax31466 fma 1 1.123456789012345 0E-6 -> 1.123456789012345 +fmax31467 fma 1 1.123456789012345 0E-7 -> 1.123456789012345 +fmax31468 fma 1 1.123456789012345 0E-8 -> 1.123456789012345 +fmax31469 fma 1 1.123456789012345 0E-9 -> 1.123456789012345 +fmax31470 fma 1 1.123456789012345 0E-10 -> 1.123456789012345 +fmax31471 fma 1 1.123456789012345 0E-11 -> 1.123456789012345 +fmax31472 fma 1 1.123456789012345 0E-12 -> 1.123456789012345 +fmax31473 fma 1 1.123456789012345 0E-13 -> 1.123456789012345 +fmax31474 fma 1 1.123456789012345 0E-14 -> 1.123456789012345 +fmax31475 fma 1 1.123456789012345 0E-15 -> 1.123456789012345 +-- next four flag Rounded because the 0 extends the result +fmax31476 fma 1 1.123456789012345 0E-16 -> 1.123456789012345 Rounded +fmax31477 fma 1 1.123456789012345 0E-17 -> 1.123456789012345 Rounded +fmax31478 fma 1 1.123456789012345 0E-18 -> 1.123456789012345 Rounded +fmax31479 fma 1 1.123456789012345 0E-19 -> 1.123456789012345 Rounded + +-- sum of two opposite-sign operands is exactly 0 and floor => -0 +precision: 16 +maxExponent: 384 +minexponent: -383 + +rounding: half_up +-- exact zeros from zeros +fmax31500 fma 1 0 0E-19 -> 0E-19 +fmax31501 fma 1 -0 0E-19 -> 0E-19 +fmax31502 fma 1 0 -0E-19 -> 0E-19 +fmax31503 fma 1 -0 -0E-19 -> -0E-19 +fmax31504 fma 1 0E-400 0E-19 -> 0E-398 Clamped +fmax31505 fma 1 -0E-400 0E-19 -> 0E-398 Clamped +fmax31506 fma 1 0E-400 -0E-19 -> 0E-398 Clamped +fmax31507 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped +-- inexact zeros +fmax31511 fma 1 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped +fmax31512 fma 1 -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped +fmax31513 fma 1 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped +fmax31514 fma 1 -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped +-- some exact zeros from non-zeros +fmax31515 fma 1 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped +fmax31516 fma 1 -1E-401 1E-401 -> 0E-398 Clamped +fmax31517 fma 1 1E-401 -1E-401 -> 0E-398 Clamped +fmax31518 fma 1 -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped + +rounding: half_down +-- exact zeros from zeros +fmax31520 fma 1 0 0E-19 -> 0E-19 +fmax31521 fma 1 -0 0E-19 -> 0E-19 +fmax31522 fma 1 0 -0E-19 -> 0E-19 +fmax31523 fma 1 -0 -0E-19 -> -0E-19 +fmax31524 fma 1 0E-400 0E-19 -> 0E-398 Clamped +fmax31525 fma 1 -0E-400 0E-19 -> 0E-398 Clamped +fmax31526 fma 1 0E-400 -0E-19 -> 0E-398 Clamped +fmax31527 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped +-- inexact zeros +fmax31531 fma 1 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped +fmax31532 fma 1 -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped +fmax31533 fma 1 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped +fmax31534 fma 1 -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped +-- some exact zeros from non-zeros +fmax31535 fma 1 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped +fmax31536 fma 1 -1E-401 1E-401 -> 0E-398 Clamped +fmax31537 fma 1 1E-401 -1E-401 -> 0E-398 Clamped +fmax31538 fma 1 -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped + +rounding: half_even +-- exact zeros from zeros +fmax31540 fma 1 0 0E-19 -> 0E-19 +fmax31541 fma 1 -0 0E-19 -> 0E-19 +fmax31542 fma 1 0 -0E-19 -> 0E-19 +fmax31543 fma 1 -0 -0E-19 -> -0E-19 +fmax31544 fma 1 0E-400 0E-19 -> 0E-398 Clamped +fmax31545 fma 1 -0E-400 0E-19 -> 0E-398 Clamped +fmax31546 fma 1 0E-400 -0E-19 -> 0E-398 Clamped +fmax31547 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped +-- inexact zeros +fmax31551 fma 1 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped +fmax31552 fma 1 -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped +fmax31553 fma 1 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped +fmax31554 fma 1 -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped +-- some exact zeros from non-zeros +fmax31555 fma 1 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped +fmax31556 fma 1 -1E-401 1E-401 -> 0E-398 Clamped +fmax31557 fma 1 1E-401 -1E-401 -> 0E-398 Clamped +fmax31558 fma 1 -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped + +rounding: up +-- exact zeros from zeros +fmax31560 fma 1 0 0E-19 -> 0E-19 +fmax31561 fma 1 -0 0E-19 -> 0E-19 +fmax31562 fma 1 0 -0E-19 -> 0E-19 +fmax31563 fma 1 -0 -0E-19 -> -0E-19 +fmax31564 fma 1 0E-400 0E-19 -> 0E-398 Clamped +fmax31565 fma 1 -0E-400 0E-19 -> 0E-398 Clamped +fmax31566 fma 1 0E-400 -0E-19 -> 0E-398 Clamped +fmax31567 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped +-- inexact zeros +fmax31571 fma 1 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow +fmax31572 fma 1 -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow +fmax31573 fma 1 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow +fmax31574 fma 1 -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow +-- some exact zeros from non-zeros +fmax31575 fma 1 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow +fmax31576 fma 1 -1E-401 1E-401 -> 0E-398 Clamped +fmax31577 fma 1 1E-401 -1E-401 -> 0E-398 Clamped +fmax31578 fma 1 -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow + +rounding: down +-- exact zeros from zeros +fmax31580 fma 1 0 0E-19 -> 0E-19 +fmax31581 fma 1 -0 0E-19 -> 0E-19 +fmax31582 fma 1 0 -0E-19 -> 0E-19 +fmax31583 fma 1 -0 -0E-19 -> -0E-19 +fmax31584 fma 1 0E-400 0E-19 -> 0E-398 Clamped +fmax31585 fma 1 -0E-400 0E-19 -> 0E-398 Clamped +fmax31586 fma 1 0E-400 -0E-19 -> 0E-398 Clamped +fmax31587 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped +-- inexact zeros +fmax31591 fma 1 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped +fmax31592 fma 1 -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped +fmax31593 fma 1 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped +fmax31594 fma 1 -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped +-- some exact zeros from non-zeros +fmax31595 fma 1 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped +fmax31596 fma 1 -1E-401 1E-401 -> 0E-398 Clamped +fmax31597 fma 1 1E-401 -1E-401 -> 0E-398 Clamped +fmax31598 fma 1 -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped + +rounding: ceiling +-- exact zeros from zeros +fmax31600 fma 1 0 0E-19 -> 0E-19 +fmax31601 fma 1 -0 0E-19 -> 0E-19 +fmax31602 fma 1 0 -0E-19 -> 0E-19 +fmax31603 fma 1 -0 -0E-19 -> -0E-19 +fmax31604 fma 1 0E-400 0E-19 -> 0E-398 Clamped +fmax31605 fma 1 -0E-400 0E-19 -> 0E-398 Clamped +fmax31606 fma 1 0E-400 -0E-19 -> 0E-398 Clamped +fmax31607 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped +-- inexact zeros +fmax31611 fma 1 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow +fmax31612 fma 1 -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow +fmax31613 fma 1 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped +fmax31614 fma 1 -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped +-- some exact zeros from non-zeros +fmax31615 fma 1 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow +fmax31616 fma 1 -1E-401 1E-401 -> 0E-398 Clamped +fmax31617 fma 1 1E-401 -1E-401 -> 0E-398 Clamped +fmax31618 fma 1 -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped + +-- and the extra-special ugly case; unusual minuses marked by -- * +rounding: floor +-- exact zeros from zeros +fmax31620 fma 1 0 0E-19 -> 0E-19 +fmax31621 fma 1 -0 0E-19 -> -0E-19 -- * +fmax31622 fma 1 0 -0E-19 -> -0E-19 -- * +fmax31623 fma 1 -0 -0E-19 -> -0E-19 +fmax31624 fma 1 0E-400 0E-19 -> 0E-398 Clamped +fmax31625 fma 1 -0E-400 0E-19 -> -0E-398 Clamped -- * +fmax31626 fma 1 0E-400 -0E-19 -> -0E-398 Clamped -- * +fmax31627 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped +-- inexact zeros +fmax31631 fma 1 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped +fmax31632 fma 1 -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped +fmax31633 fma 1 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow +fmax31634 fma 1 -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow +-- some exact zeros from non-zeros +fmax31635 fma 1 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped +fmax31636 fma 1 -1E-401 1E-401 -> -0E-398 Clamped -- * +fmax31637 fma 1 1E-401 -1E-401 -> -0E-398 Clamped -- * +fmax31638 fma 1 -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow + +-- BigDecimal problem testcases 2006.01.23 +precision: 16 +maxExponent: 384 +minexponent: -383 + +rounding: down +precision: 7 +fmax31651 fma 1 10001E+2 -2E+1 -> 1.00008E+6 +precision: 6 +fmax31652 fma 1 10001E+2 -2E+1 -> 1.00008E+6 +precision: 5 +fmax31653 fma 1 10001E+2 -2E+1 -> 1.0000E+6 Inexact Rounded +precision: 4 +fmax31654 fma 1 10001E+2 -2E+1 -> 1.000E+6 Inexact Rounded +precision: 3 +fmax31655 fma 1 10001E+2 -2E+1 -> 1.00E+6 Inexact Rounded +precision: 2 +fmax31656 fma 1 10001E+2 -2E+1 -> 1.0E+6 Inexact Rounded +precision: 1 +fmax31657 fma 1 10001E+2 -2E+1 -> 1E+6 Inexact Rounded + +rounding: half_even +precision: 7 +fmax31661 fma 1 10001E+2 -2E+1 -> 1.00008E+6 +precision: 6 +fmax31662 fma 1 10001E+2 -2E+1 -> 1.00008E+6 +precision: 5 +fmax31663 fma 1 10001E+2 -2E+1 -> 1.0001E+6 Inexact Rounded +precision: 4 +fmax31664 fma 1 10001E+2 -2E+1 -> 1.000E+6 Inexact Rounded +precision: 3 +fmax31665 fma 1 10001E+2 -2E+1 -> 1.00E+6 Inexact Rounded +precision: 2 +fmax31666 fma 1 10001E+2 -2E+1 -> 1.0E+6 Inexact Rounded +precision: 1 +fmax31667 fma 1 10001E+2 -2E+1 -> 1E+6 Inexact Rounded + +rounding: up +precision: 7 +fmax31671 fma 1 10001E+2 -2E+1 -> 1.00008E+6 +precision: 6 +fmax31672 fma 1 10001E+2 -2E+1 -> 1.00008E+6 +precision: 5 +fmax31673 fma 1 10001E+2 -2E+1 -> 1.0001E+6 Inexact Rounded +precision: 4 +fmax31674 fma 1 10001E+2 -2E+1 -> 1.001E+6 Inexact Rounded +precision: 3 +fmax31675 fma 1 10001E+2 -2E+1 -> 1.01E+6 Inexact Rounded +precision: 2 +fmax31676 fma 1 10001E+2 -2E+1 -> 1.1E+6 Inexact Rounded +precision: 1 +fmax31677 fma 1 10001E+2 -2E+1 -> 2E+6 Inexact Rounded + +precision: 34 +rounding: half_up +maxExponent: 6144 +minExponent: -6143 +-- Examples from SQL proposal (Krishna Kulkarni) +fmax31701 fma 1 130E-2 120E-2 -> 2.50 +fmax31702 fma 1 130E-2 12E-1 -> 2.50 +fmax31703 fma 1 130E-2 1E0 -> 2.30 +fmax31704 fma 1 1E2 1E4 -> 1.01E+4 +fmax31705 subtract 130E-2 120E-2 -> 0.10 +fmax31706 subtract 130E-2 12E-1 -> 0.10 +fmax31707 subtract 130E-2 1E0 -> 0.30 +fmax31708 subtract 1E2 1E4 -> -9.9E+3 + +------------------------------------------------------------------------ +-- Same as above, using decimal64 default parameters -- +------------------------------------------------------------------------ +precision: 16 +rounding: half_even +maxExponent: 384 +minexponent: -383 + +-- [first group are 'quick confidence check'] +fmax36001 fma 1 1 1 -> 2 +fmax36002 fma 1 2 3 -> 5 +fmax36003 fma 1 '5.75' '3.3' -> 9.05 +fmax36004 fma 1 '5' '-3' -> 2 +fmax36005 fma 1 '-5' '-3' -> -8 +fmax36006 fma 1 '-7' '2.5' -> -4.5 +fmax36007 fma 1 '0.7' '0.3' -> 1.0 +fmax36008 fma 1 '1.25' '1.25' -> 2.50 +fmax36009 fma 1 '1.23456789' '1.00000000' -> '2.23456789' +fmax36010 fma 1 '1.23456789' '1.00000011' -> '2.23456800' + +fmax36011 fma 1 '0.44444444444444444' '0.55555555555555555' -> '1.000000000000000' Inexact Rounded +fmax36012 fma 1 '0.44444444444444440' '0.55555555555555555' -> '1.000000000000000' Inexact Rounded +fmax36013 fma 1 '0.44444444444444444' '0.55555555555555550' -> '0.9999999999999999' Inexact Rounded +fmax36014 fma 1 '0.444444444444444449' '0' -> '0.4444444444444444' Inexact Rounded +fmax36015 fma 1 '0.4444444444444444499' '0' -> '0.4444444444444444' Inexact Rounded +fmax36016 fma 1 '0.44444444444444444999' '0' -> '0.4444444444444444' Inexact Rounded +fmax36017 fma 1 '0.44444444444444445000' '0' -> '0.4444444444444444' Inexact Rounded +fmax36018 fma 1 '0.44444444444444445001' '0' -> '0.4444444444444445' Inexact Rounded +fmax36019 fma 1 '0.4444444444444444501' '0' -> '0.4444444444444445' Inexact Rounded +fmax36020 fma 1 '0.444444444444444451' '0' -> '0.4444444444444445' Inexact Rounded + +fmax36021 fma 1 0 1 -> 1 +fmax36022 fma 1 1 1 -> 2 +fmax36023 fma 1 2 1 -> 3 +fmax36024 fma 1 3 1 -> 4 +fmax36025 fma 1 4 1 -> 5 +fmax36026 fma 1 5 1 -> 6 +fmax36027 fma 1 6 1 -> 7 +fmax36028 fma 1 7 1 -> 8 +fmax36029 fma 1 8 1 -> 9 +fmax36030 fma 1 9 1 -> 10 + +-- some carrying effects +fmax36031 fma 1 '0.9998' '0.0000' -> '0.9998' +fmax36032 fma 1 '0.9998' '0.0001' -> '0.9999' +fmax36033 fma 1 '0.9998' '0.0002' -> '1.0000' +fmax36034 fma 1 '0.9998' '0.0003' -> '1.0001' + +fmax36035 fma 1 '70' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded +fmax36036 fma 1 '700' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded +fmax36037 fma 1 '7000' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded +fmax36038 fma 1 '70000' '10000e+16' -> '1.000000000000001E+20' Inexact Rounded +fmax36039 fma 1 '700000' '10000e+16' -> '1.000000000000007E+20' Rounded + +-- symmetry: +fmax36040 fma 1 '10000e+16' '70' -> '1.000000000000000E+20' Inexact Rounded +fmax36041 fma 1 '10000e+16' '700' -> '1.000000000000000E+20' Inexact Rounded +fmax36042 fma 1 '10000e+16' '7000' -> '1.000000000000000E+20' Inexact Rounded +fmax36044 fma 1 '10000e+16' '70000' -> '1.000000000000001E+20' Inexact Rounded +fmax36045 fma 1 '10000e+16' '700000' -> '1.000000000000007E+20' Rounded + +fmax36046 fma 1 '10000e+9' '7' -> '10000000000007' +fmax36047 fma 1 '10000e+9' '70' -> '10000000000070' +fmax36048 fma 1 '10000e+9' '700' -> '10000000000700' +fmax36049 fma 1 '10000e+9' '7000' -> '10000000007000' +fmax36050 fma 1 '10000e+9' '70000' -> '10000000070000' +fmax36051 fma 1 '10000e+9' '700000' -> '10000000700000' + +-- examples from decarith +fmax36053 fma 1 '12' '7.00' -> '19.00' +fmax36054 fma 1 '1.3' '-1.07' -> '0.23' +fmax36055 fma 1 '1.3' '-1.30' -> '0.00' +fmax36056 fma 1 '1.3' '-2.07' -> '-0.77' +fmax36057 fma 1 '1E+2' '1E+4' -> '1.01E+4' + +-- from above +fmax36061 fma 1 1 '0.1' -> '1.1' +fmax36062 fma 1 1 '0.01' -> '1.01' +fmax36063 fma 1 1 '0.001' -> '1.001' +fmax36064 fma 1 1 '0.0001' -> '1.0001' +fmax36065 fma 1 1 '0.00001' -> '1.00001' +fmax36066 fma 1 1 '0.000001' -> '1.000001' +fmax36067 fma 1 1 '0.0000001' -> '1.0000001' +fmax36068 fma 1 1 '0.00000001' -> '1.00000001' + +-- some funny zeros [in case of bad signum] +fmax36070 fma 1 1 0 -> 1 +fmax36071 fma 1 1 0. -> 1 +fmax36072 fma 1 1 .0 -> 1.0 +fmax36073 fma 1 1 0.0 -> 1.0 +fmax36074 fma 1 1 0.00 -> 1.00 +fmax36075 fma 1 0 1 -> 1 +fmax36076 fma 1 0. 1 -> 1 +fmax36077 fma 1 .0 1 -> 1.0 +fmax36078 fma 1 0.0 1 -> 1.0 +fmax36079 fma 1 0.00 1 -> 1.00 + +-- some carries +fmax36080 fma 1 9999999999999998 1 -> 9999999999999999 +fmax36081 fma 1 9999999999999999 1 -> 1.000000000000000E+16 Rounded +fmax36082 fma 1 999999999999999 1 -> 1000000000000000 +fmax36083 fma 1 9999999999999 1 -> 10000000000000 +fmax36084 fma 1 99999999999 1 -> 100000000000 +fmax36085 fma 1 999999999 1 -> 1000000000 +fmax36086 fma 1 9999999 1 -> 10000000 +fmax36087 fma 1 99999 1 -> 100000 +fmax36088 fma 1 999 1 -> 1000 +fmax36089 fma 1 9 1 -> 10 + + +-- more LHS swaps +fmax36090 fma 1 '-56267E-10' 0 -> '-0.0000056267' +fmax36091 fma 1 '-56267E-6' 0 -> '-0.056267' +fmax36092 fma 1 '-56267E-5' 0 -> '-0.56267' +fmax36093 fma 1 '-56267E-4' 0 -> '-5.6267' +fmax36094 fma 1 '-56267E-3' 0 -> '-56.267' +fmax36095 fma 1 '-56267E-2' 0 -> '-562.67' +fmax36096 fma 1 '-56267E-1' 0 -> '-5626.7' +fmax36097 fma 1 '-56267E-0' 0 -> '-56267' +fmax36098 fma 1 '-5E-10' 0 -> '-5E-10' +fmax36099 fma 1 '-5E-7' 0 -> '-5E-7' +fmax36100 fma 1 '-5E-6' 0 -> '-0.000005' +fmax36101 fma 1 '-5E-5' 0 -> '-0.00005' +fmax36102 fma 1 '-5E-4' 0 -> '-0.0005' +fmax36103 fma 1 '-5E-1' 0 -> '-0.5' +fmax36104 fma 1 '-5E0' 0 -> '-5' +fmax36105 fma 1 '-5E1' 0 -> '-50' +fmax36106 fma 1 '-5E5' 0 -> '-500000' +fmax36107 fma 1 '-5E15' 0 -> '-5000000000000000' +fmax36108 fma 1 '-5E16' 0 -> '-5.000000000000000E+16' Rounded +fmax36109 fma 1 '-5E17' 0 -> '-5.000000000000000E+17' Rounded +fmax36110 fma 1 '-5E18' 0 -> '-5.000000000000000E+18' Rounded +fmax36111 fma 1 '-5E100' 0 -> '-5.000000000000000E+100' Rounded + +-- more RHS swaps +fmax36113 fma 1 0 '-56267E-10' -> '-0.0000056267' +fmax36114 fma 1 0 '-56267E-6' -> '-0.056267' +fmax36116 fma 1 0 '-56267E-5' -> '-0.56267' +fmax36117 fma 1 0 '-56267E-4' -> '-5.6267' +fmax36119 fma 1 0 '-56267E-3' -> '-56.267' +fmax36120 fma 1 0 '-56267E-2' -> '-562.67' +fmax36121 fma 1 0 '-56267E-1' -> '-5626.7' +fmax36122 fma 1 0 '-56267E-0' -> '-56267' +fmax36123 fma 1 0 '-5E-10' -> '-5E-10' +fmax36124 fma 1 0 '-5E-7' -> '-5E-7' +fmax36125 fma 1 0 '-5E-6' -> '-0.000005' +fmax36126 fma 1 0 '-5E-5' -> '-0.00005' +fmax36127 fma 1 0 '-5E-4' -> '-0.0005' +fmax36128 fma 1 0 '-5E-1' -> '-0.5' +fmax36129 fma 1 0 '-5E0' -> '-5' +fmax36130 fma 1 0 '-5E1' -> '-50' +fmax36131 fma 1 0 '-5E5' -> '-500000' +fmax36132 fma 1 0 '-5E15' -> '-5000000000000000' +fmax36133 fma 1 0 '-5E16' -> '-5.000000000000000E+16' Rounded +fmax36134 fma 1 0 '-5E17' -> '-5.000000000000000E+17' Rounded +fmax36135 fma 1 0 '-5E18' -> '-5.000000000000000E+18' Rounded +fmax36136 fma 1 0 '-5E100' -> '-5.000000000000000E+100' Rounded + +-- related +fmax36137 fma 1 1 '0E-19' -> '1.000000000000000' Rounded +fmax36138 fma 1 -1 '0E-19' -> '-1.000000000000000' Rounded +fmax36139 fma 1 '0E-19' 1 -> '1.000000000000000' Rounded +fmax36140 fma 1 '0E-19' -1 -> '-1.000000000000000' Rounded +fmax36141 fma 1 1E+11 0.0000 -> '100000000000.0000' +fmax36142 fma 1 1E+11 0.00000 -> '100000000000.0000' Rounded +fmax36143 fma 1 0.000 1E+12 -> '1000000000000.000' +fmax36144 fma 1 0.0000 1E+12 -> '1000000000000.000' Rounded + +-- [some of the next group are really constructor tests] +fmax36146 fma 1 '00.0' 0 -> '0.0' +fmax36147 fma 1 '0.00' 0 -> '0.00' +fmax36148 fma 1 0 '0.00' -> '0.00' +fmax36149 fma 1 0 '00.0' -> '0.0' +fmax36150 fma 1 '00.0' '0.00' -> '0.00' +fmax36151 fma 1 '0.00' '00.0' -> '0.00' +fmax36152 fma 1 '3' '.3' -> '3.3' +fmax36153 fma 1 '3.' '.3' -> '3.3' +fmax36154 fma 1 '3.0' '.3' -> '3.3' +fmax36155 fma 1 '3.00' '.3' -> '3.30' +fmax36156 fma 1 '3' '3' -> '6' +fmax36157 fma 1 '3' '+3' -> '6' +fmax36158 fma 1 '3' '-3' -> '0' +fmax36159 fma 1 '0.3' '-0.3' -> '0.0' +fmax36160 fma 1 '0.03' '-0.03' -> '0.00' + +-- try borderline precision, with carries, etc. +fmax36161 fma 1 '1E+13' '-1' -> '9999999999999' +fmax36162 fma 1 '1E+13' '1.11' -> '10000000000001.11' +fmax36163 fma 1 '1.11' '1E+13' -> '10000000000001.11' +fmax36164 fma 1 '-1' '1E+13' -> '9999999999999' +fmax36165 fma 1 '7E+13' '-1' -> '69999999999999' +fmax36166 fma 1 '7E+13' '1.11' -> '70000000000001.11' +fmax36167 fma 1 '1.11' '7E+13' -> '70000000000001.11' +fmax36168 fma 1 '-1' '7E+13' -> '69999999999999' + +-- 1234567890123456 1234567890123456 1 234567890123456 +fmax36170 fma 1 '0.4444444444444444' '0.5555555555555563' -> '1.000000000000001' Inexact Rounded +fmax36171 fma 1 '0.4444444444444444' '0.5555555555555562' -> '1.000000000000001' Inexact Rounded +fmax36172 fma 1 '0.4444444444444444' '0.5555555555555561' -> '1.000000000000000' Inexact Rounded +fmax36173 fma 1 '0.4444444444444444' '0.5555555555555560' -> '1.000000000000000' Inexact Rounded +fmax36174 fma 1 '0.4444444444444444' '0.5555555555555559' -> '1.000000000000000' Inexact Rounded +fmax36175 fma 1 '0.4444444444444444' '0.5555555555555558' -> '1.000000000000000' Inexact Rounded +fmax36176 fma 1 '0.4444444444444444' '0.5555555555555557' -> '1.000000000000000' Inexact Rounded +fmax36177 fma 1 '0.4444444444444444' '0.5555555555555556' -> '1.000000000000000' Rounded +fmax36178 fma 1 '0.4444444444444444' '0.5555555555555555' -> '0.9999999999999999' +fmax36179 fma 1 '0.4444444444444444' '0.5555555555555554' -> '0.9999999999999998' +fmax36180 fma 1 '0.4444444444444444' '0.5555555555555553' -> '0.9999999999999997' +fmax36181 fma 1 '0.4444444444444444' '0.5555555555555552' -> '0.9999999999999996' +fmax36182 fma 1 '0.4444444444444444' '0.5555555555555551' -> '0.9999999999999995' +fmax36183 fma 1 '0.4444444444444444' '0.5555555555555550' -> '0.9999999999999994' + +-- and some more, including residue effects and different roundings +rounding: half_up +fmax36200 fma 1 '6543210123456789' 0 -> '6543210123456789' +fmax36201 fma 1 '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded +fmax36202 fma 1 '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded +fmax36203 fma 1 '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded +fmax36204 fma 1 '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded +fmax36205 fma 1 '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded +fmax36206 fma 1 '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded +fmax36207 fma 1 '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded +fmax36208 fma 1 '6543210123456789' 0.5 -> '6543210123456790' Inexact Rounded +fmax36209 fma 1 '6543210123456789' 0.500000001 -> '6543210123456790' Inexact Rounded +fmax36210 fma 1 '6543210123456789' 0.500001 -> '6543210123456790' Inexact Rounded +fmax36211 fma 1 '6543210123456789' 0.51 -> '6543210123456790' Inexact Rounded +fmax36212 fma 1 '6543210123456789' 0.6 -> '6543210123456790' Inexact Rounded +fmax36213 fma 1 '6543210123456789' 0.9 -> '6543210123456790' Inexact Rounded +fmax36214 fma 1 '6543210123456789' 0.99999 -> '6543210123456790' Inexact Rounded +fmax36215 fma 1 '6543210123456789' 0.999999 -> '6543210123456790' Inexact Rounded +fmax36216 fma 1 '6543210123456789' 1 -> '6543210123456790' +fmax36217 fma 1 '6543210123456789' 1.000000001 -> '6543210123456790' Inexact Rounded +fmax36218 fma 1 '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded +fmax36219 fma 1 '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded + +rounding: half_even +fmax36220 fma 1 '6543210123456789' 0 -> '6543210123456789' +fmax36221 fma 1 '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded +fmax36222 fma 1 '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded +fmax36223 fma 1 '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded +fmax36224 fma 1 '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded +fmax36225 fma 1 '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded +fmax36226 fma 1 '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded +fmax36227 fma 1 '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded +fmax36228 fma 1 '6543210123456789' 0.5 -> '6543210123456790' Inexact Rounded +fmax36229 fma 1 '6543210123456789' 0.500000001 -> '6543210123456790' Inexact Rounded +fmax36230 fma 1 '6543210123456789' 0.500001 -> '6543210123456790' Inexact Rounded +fmax36231 fma 1 '6543210123456789' 0.51 -> '6543210123456790' Inexact Rounded +fmax36232 fma 1 '6543210123456789' 0.6 -> '6543210123456790' Inexact Rounded +fmax36233 fma 1 '6543210123456789' 0.9 -> '6543210123456790' Inexact Rounded +fmax36234 fma 1 '6543210123456789' 0.99999 -> '6543210123456790' Inexact Rounded +fmax36235 fma 1 '6543210123456789' 0.999999 -> '6543210123456790' Inexact Rounded +fmax36236 fma 1 '6543210123456789' 1 -> '6543210123456790' +fmax36237 fma 1 '6543210123456789' 1.00000001 -> '6543210123456790' Inexact Rounded +fmax36238 fma 1 '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded +fmax36239 fma 1 '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded +-- critical few with even bottom digit... +fmax36240 fma 1 '6543210123456788' 0.499999 -> '6543210123456788' Inexact Rounded +fmax36241 fma 1 '6543210123456788' 0.5 -> '6543210123456788' Inexact Rounded +fmax36242 fma 1 '6543210123456788' 0.500000001 -> '6543210123456789' Inexact Rounded + +rounding: down +fmax36250 fma 1 '6543210123456789' 0 -> '6543210123456789' +fmax36251 fma 1 '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded +fmax36252 fma 1 '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded +fmax36253 fma 1 '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded +fmax36254 fma 1 '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded +fmax36255 fma 1 '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded +fmax36256 fma 1 '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded +fmax36257 fma 1 '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded +fmax36258 fma 1 '6543210123456789' 0.5 -> '6543210123456789' Inexact Rounded +fmax36259 fma 1 '6543210123456789' 0.500000001 -> '6543210123456789' Inexact Rounded +fmax36260 fma 1 '6543210123456789' 0.500001 -> '6543210123456789' Inexact Rounded +fmax36261 fma 1 '6543210123456789' 0.51 -> '6543210123456789' Inexact Rounded +fmax36262 fma 1 '6543210123456789' 0.6 -> '6543210123456789' Inexact Rounded +fmax36263 fma 1 '6543210123456789' 0.9 -> '6543210123456789' Inexact Rounded +fmax36264 fma 1 '6543210123456789' 0.99999 -> '6543210123456789' Inexact Rounded +fmax36265 fma 1 '6543210123456789' 0.999999 -> '6543210123456789' Inexact Rounded +fmax36266 fma 1 '6543210123456789' 1 -> '6543210123456790' +fmax36267 fma 1 '6543210123456789' 1.00000001 -> '6543210123456790' Inexact Rounded +fmax36268 fma 1 '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded +fmax36269 fma 1 '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded + +-- 1 in last place tests +rounding: half_even +fmax36301 fma 1 -1 1 -> 0 +fmax36302 fma 1 0 1 -> 1 +fmax36303 fma 1 1 1 -> 2 +fmax36304 fma 1 12 1 -> 13 +fmax36305 fma 1 98 1 -> 99 +fmax36306 fma 1 99 1 -> 100 +fmax36307 fma 1 100 1 -> 101 +fmax36308 fma 1 101 1 -> 102 +fmax36309 fma 1 -1 -1 -> -2 +fmax36310 fma 1 0 -1 -> -1 +fmax36311 fma 1 1 -1 -> 0 +fmax36312 fma 1 12 -1 -> 11 +fmax36313 fma 1 98 -1 -> 97 +fmax36314 fma 1 99 -1 -> 98 +fmax36315 fma 1 100 -1 -> 99 +fmax36316 fma 1 101 -1 -> 100 + +fmax36321 fma 1 -0.01 0.01 -> 0.00 +fmax36322 fma 1 0.00 0.01 -> 0.01 +fmax36323 fma 1 0.01 0.01 -> 0.02 +fmax36324 fma 1 0.12 0.01 -> 0.13 +fmax36325 fma 1 0.98 0.01 -> 0.99 +fmax36326 fma 1 0.99 0.01 -> 1.00 +fmax36327 fma 1 1.00 0.01 -> 1.01 +fmax36328 fma 1 1.01 0.01 -> 1.02 +fmax36329 fma 1 -0.01 -0.01 -> -0.02 +fmax36330 fma 1 0.00 -0.01 -> -0.01 +fmax36331 fma 1 0.01 -0.01 -> 0.00 +fmax36332 fma 1 0.12 -0.01 -> 0.11 +fmax36333 fma 1 0.98 -0.01 -> 0.97 +fmax36334 fma 1 0.99 -0.01 -> 0.98 +fmax36335 fma 1 1.00 -0.01 -> 0.99 +fmax36336 fma 1 1.01 -0.01 -> 1.00 + +-- some more cases where fma 1 ing 0 affects the coefficient +fmax36340 fma 1 1E+3 0 -> 1000 +fmax36341 fma 1 1E+15 0 -> 1000000000000000 +fmax36342 fma 1 1E+16 0 -> 1.000000000000000E+16 Rounded +fmax36343 fma 1 1E+17 0 -> 1.000000000000000E+17 Rounded +-- which simply follow from these cases ... +fmax36344 fma 1 1E+3 1 -> 1001 +fmax36345 fma 1 1E+15 1 -> 1000000000000001 +fmax36346 fma 1 1E+16 1 -> 1.000000000000000E+16 Inexact Rounded +fmax36347 fma 1 1E+17 1 -> 1.000000000000000E+17 Inexact Rounded +fmax36348 fma 1 1E+3 7 -> 1007 +fmax36349 fma 1 1E+15 7 -> 1000000000000007 +fmax36350 fma 1 1E+16 7 -> 1.000000000000001E+16 Inexact Rounded +fmax36351 fma 1 1E+17 7 -> 1.000000000000000E+17 Inexact Rounded + +-- tryzeros cases +fmax36361 fma 1 0E+50 10000E+1 -> 1.0000E+5 +fmax36362 fma 1 10000E+1 0E-50 -> 100000.0000000000 Rounded +fmax36363 fma 1 10000E+1 10000E-50 -> 100000.0000000000 Rounded Inexact +fmax36364 fma 1 12.34 0e-398 -> 12.34000000000000 Rounded + +-- ulp replacement tests +fmax36400 fma 1 1 77e-14 -> 1.00000000000077 +fmax36401 fma 1 1 77e-15 -> 1.000000000000077 +fmax36402 fma 1 1 77e-16 -> 1.000000000000008 Inexact Rounded +fmax36403 fma 1 1 77e-17 -> 1.000000000000001 Inexact Rounded +fmax36404 fma 1 1 77e-18 -> 1.000000000000000 Inexact Rounded +fmax36405 fma 1 1 77e-19 -> 1.000000000000000 Inexact Rounded +fmax36406 fma 1 1 77e-99 -> 1.000000000000000 Inexact Rounded + +fmax36410 fma 1 10 77e-14 -> 10.00000000000077 +fmax36411 fma 1 10 77e-15 -> 10.00000000000008 Inexact Rounded +fmax36412 fma 1 10 77e-16 -> 10.00000000000001 Inexact Rounded +fmax36413 fma 1 10 77e-17 -> 10.00000000000000 Inexact Rounded +fmax36414 fma 1 10 77e-18 -> 10.00000000000000 Inexact Rounded +fmax36415 fma 1 10 77e-19 -> 10.00000000000000 Inexact Rounded +fmax36416 fma 1 10 77e-99 -> 10.00000000000000 Inexact Rounded + +fmax36420 fma 1 77e-14 1 -> 1.00000000000077 +fmax36421 fma 1 77e-15 1 -> 1.000000000000077 +fmax36422 fma 1 77e-16 1 -> 1.000000000000008 Inexact Rounded +fmax36423 fma 1 77e-17 1 -> 1.000000000000001 Inexact Rounded +fmax36424 fma 1 77e-18 1 -> 1.000000000000000 Inexact Rounded +fmax36425 fma 1 77e-19 1 -> 1.000000000000000 Inexact Rounded +fmax36426 fma 1 77e-99 1 -> 1.000000000000000 Inexact Rounded + +fmax36430 fma 1 77e-14 10 -> 10.00000000000077 +fmax36431 fma 1 77e-15 10 -> 10.00000000000008 Inexact Rounded +fmax36432 fma 1 77e-16 10 -> 10.00000000000001 Inexact Rounded +fmax36433 fma 1 77e-17 10 -> 10.00000000000000 Inexact Rounded +fmax36434 fma 1 77e-18 10 -> 10.00000000000000 Inexact Rounded +fmax36435 fma 1 77e-19 10 -> 10.00000000000000 Inexact Rounded +fmax36436 fma 1 77e-99 10 -> 10.00000000000000 Inexact Rounded + +-- negative ulps +fmax36440 fma 1 1 -77e-14 -> 0.99999999999923 +fmax36441 fma 1 1 -77e-15 -> 0.999999999999923 +fmax36442 fma 1 1 -77e-16 -> 0.9999999999999923 +fmax36443 fma 1 1 -77e-17 -> 0.9999999999999992 Inexact Rounded +fmax36444 fma 1 1 -77e-18 -> 0.9999999999999999 Inexact Rounded +fmax36445 fma 1 1 -77e-19 -> 1.000000000000000 Inexact Rounded +fmax36446 fma 1 1 -77e-99 -> 1.000000000000000 Inexact Rounded + +fmax36450 fma 1 10 -77e-14 -> 9.99999999999923 +fmax36451 fma 1 10 -77e-15 -> 9.999999999999923 +fmax36452 fma 1 10 -77e-16 -> 9.999999999999992 Inexact Rounded +fmax36453 fma 1 10 -77e-17 -> 9.999999999999999 Inexact Rounded +fmax36454 fma 1 10 -77e-18 -> 10.00000000000000 Inexact Rounded +fmax36455 fma 1 10 -77e-19 -> 10.00000000000000 Inexact Rounded +fmax36456 fma 1 10 -77e-99 -> 10.00000000000000 Inexact Rounded + +fmax36460 fma 1 -77e-14 1 -> 0.99999999999923 +fmax36461 fma 1 -77e-15 1 -> 0.999999999999923 +fmax36462 fma 1 -77e-16 1 -> 0.9999999999999923 +fmax36463 fma 1 -77e-17 1 -> 0.9999999999999992 Inexact Rounded +fmax36464 fma 1 -77e-18 1 -> 0.9999999999999999 Inexact Rounded +fmax36465 fma 1 -77e-19 1 -> 1.000000000000000 Inexact Rounded +fmax36466 fma 1 -77e-99 1 -> 1.000000000000000 Inexact Rounded + +fmax36470 fma 1 -77e-14 10 -> 9.99999999999923 +fmax36471 fma 1 -77e-15 10 -> 9.999999999999923 +fmax36472 fma 1 -77e-16 10 -> 9.999999999999992 Inexact Rounded +fmax36473 fma 1 -77e-17 10 -> 9.999999999999999 Inexact Rounded +fmax36474 fma 1 -77e-18 10 -> 10.00000000000000 Inexact Rounded +fmax36475 fma 1 -77e-19 10 -> 10.00000000000000 Inexact Rounded +fmax36476 fma 1 -77e-99 10 -> 10.00000000000000 Inexact Rounded + +-- negative ulps +fmax36480 fma 1 -1 77e-14 -> -0.99999999999923 +fmax36481 fma 1 -1 77e-15 -> -0.999999999999923 +fmax36482 fma 1 -1 77e-16 -> -0.9999999999999923 +fmax36483 fma 1 -1 77e-17 -> -0.9999999999999992 Inexact Rounded +fmax36484 fma 1 -1 77e-18 -> -0.9999999999999999 Inexact Rounded +fmax36485 fma 1 -1 77e-19 -> -1.000000000000000 Inexact Rounded +fmax36486 fma 1 -1 77e-99 -> -1.000000000000000 Inexact Rounded + +fmax36490 fma 1 -10 77e-14 -> -9.99999999999923 +fmax36491 fma 1 -10 77e-15 -> -9.999999999999923 +fmax36492 fma 1 -10 77e-16 -> -9.999999999999992 Inexact Rounded +fmax36493 fma 1 -10 77e-17 -> -9.999999999999999 Inexact Rounded +fmax36494 fma 1 -10 77e-18 -> -10.00000000000000 Inexact Rounded +fmax36495 fma 1 -10 77e-19 -> -10.00000000000000 Inexact Rounded +fmax36496 fma 1 -10 77e-99 -> -10.00000000000000 Inexact Rounded + +fmax36500 fma 1 77e-14 -1 -> -0.99999999999923 +fmax36501 fma 1 77e-15 -1 -> -0.999999999999923 +fmax36502 fma 1 77e-16 -1 -> -0.9999999999999923 +fmax36503 fma 1 77e-17 -1 -> -0.9999999999999992 Inexact Rounded +fmax36504 fma 1 77e-18 -1 -> -0.9999999999999999 Inexact Rounded +fmax36505 fma 1 77e-19 -1 -> -1.000000000000000 Inexact Rounded +fmax36506 fma 1 77e-99 -1 -> -1.000000000000000 Inexact Rounded + +fmax36510 fma 1 77e-14 -10 -> -9.99999999999923 +fmax36511 fma 1 77e-15 -10 -> -9.999999999999923 +fmax36512 fma 1 77e-16 -10 -> -9.999999999999992 Inexact Rounded +fmax36513 fma 1 77e-17 -10 -> -9.999999999999999 Inexact Rounded +fmax36514 fma 1 77e-18 -10 -> -10.00000000000000 Inexact Rounded +fmax36515 fma 1 77e-19 -10 -> -10.00000000000000 Inexact Rounded +fmax36516 fma 1 77e-99 -10 -> -10.00000000000000 Inexact Rounded + + +-- long operands +fmax36521 fma 1 101234562345678000 0 -> 1.012345623456780E+17 Rounded +fmax36522 fma 1 0 101234562345678000 -> 1.012345623456780E+17 Rounded +fmax36523 fma 1 10123456234567800 0 -> 1.012345623456780E+16 Rounded +fmax36524 fma 1 0 10123456234567800 -> 1.012345623456780E+16 Rounded +fmax36525 fma 1 10123456234567890 0 -> 1.012345623456789E+16 Rounded +fmax36526 fma 1 0 10123456234567890 -> 1.012345623456789E+16 Rounded +fmax36527 fma 1 10123456234567891 0 -> 1.012345623456789E+16 Inexact Rounded +fmax36528 fma 1 0 10123456234567891 -> 1.012345623456789E+16 Inexact Rounded +fmax36529 fma 1 101234562345678901 0 -> 1.012345623456789E+17 Inexact Rounded +fmax36530 fma 1 0 101234562345678901 -> 1.012345623456789E+17 Inexact Rounded +fmax36531 fma 1 10123456234567896 0 -> 1.012345623456790E+16 Inexact Rounded +fmax36532 fma 1 0 10123456234567896 -> 1.012345623456790E+16 Inexact Rounded + +-- verify a query +rounding: down +fmax36561 fma 1 1e-398 9.000000000000000E+384 -> 9.000000000000000E+384 Inexact Rounded +fmax36562 fma 1 0 9.000000000000000E+384 -> 9.000000000000000E+384 Rounded +-- and using decimal64 bounds... +rounding: down +fmax36563 fma 1 1e-388 9.000000000000000E+374 -> 9.000000000000000E+374 Inexact Rounded +fmax36564 fma 1 0 9.000000000000000E+374 -> 9.000000000000000E+374 Rounded + +-- more zeros, etc. +rounding: half_even + +fmax36701 fma 1 5.00 1.00E-3 -> 5.00100 +fmax36702 fma 1 00.00 0.000 -> 0.000 +fmax36703 fma 1 00.00 0E-3 -> 0.000 +fmax36704 fma 1 0E-3 00.00 -> 0.000 + +fmax36710 fma 1 0E+3 00.00 -> 0.00 +fmax36711 fma 1 0E+3 00.0 -> 0.0 +fmax36712 fma 1 0E+3 00. -> 0 +fmax36713 fma 1 0E+3 00.E+1 -> 0E+1 +fmax36714 fma 1 0E+3 00.E+2 -> 0E+2 +fmax36715 fma 1 0E+3 00.E+3 -> 0E+3 +fmax36716 fma 1 0E+3 00.E+4 -> 0E+3 +fmax36717 fma 1 0E+3 00.E+5 -> 0E+3 +fmax36718 fma 1 0E+3 -00.0 -> 0.0 +fmax36719 fma 1 0E+3 -00. -> 0 +fmax36731 fma 1 0E+3 -00.E+1 -> 0E+1 + +fmax36720 fma 1 00.00 0E+3 -> 0.00 +fmax36721 fma 1 00.0 0E+3 -> 0.0 +fmax36722 fma 1 00. 0E+3 -> 0 +fmax36723 fma 1 00.E+1 0E+3 -> 0E+1 +fmax36724 fma 1 00.E+2 0E+3 -> 0E+2 +fmax36725 fma 1 00.E+3 0E+3 -> 0E+3 +fmax36726 fma 1 00.E+4 0E+3 -> 0E+3 +fmax36727 fma 1 00.E+5 0E+3 -> 0E+3 +fmax36728 fma 1 -00.00 0E+3 -> 0.00 +fmax36729 fma 1 -00.0 0E+3 -> 0.0 +fmax36730 fma 1 -00. 0E+3 -> 0 + +fmax36732 fma 1 0 0 -> 0 +fmax36733 fma 1 0 -0 -> 0 +fmax36734 fma 1 -0 0 -> 0 +fmax36735 fma 1 -0 -0 -> -0 -- IEEE 854 special case + +fmax36736 fma 1 1 -1 -> 0 +fmax36737 fma 1 -1 -1 -> -2 +fmax36738 fma 1 1 1 -> 2 +fmax36739 fma 1 -1 1 -> 0 + +fmax36741 fma 1 0 -1 -> -1 +fmax36742 fma 1 -0 -1 -> -1 +fmax36743 fma 1 0 1 -> 1 +fmax36744 fma 1 -0 1 -> 1 +fmax36745 fma 1 -1 0 -> -1 +fmax36746 fma 1 -1 -0 -> -1 +fmax36747 fma 1 1 0 -> 1 +fmax36748 fma 1 1 -0 -> 1 + +fmax36751 fma 1 0.0 -1 -> -1.0 +fmax36752 fma 1 -0.0 -1 -> -1.0 +fmax36753 fma 1 0.0 1 -> 1.0 +fmax36754 fma 1 -0.0 1 -> 1.0 +fmax36755 fma 1 -1.0 0 -> -1.0 +fmax36756 fma 1 -1.0 -0 -> -1.0 +fmax36757 fma 1 1.0 0 -> 1.0 +fmax36758 fma 1 1.0 -0 -> 1.0 + +fmax36761 fma 1 0 -1.0 -> -1.0 +fmax36762 fma 1 -0 -1.0 -> -1.0 +fmax36763 fma 1 0 1.0 -> 1.0 +fmax36764 fma 1 -0 1.0 -> 1.0 +fmax36765 fma 1 -1 0.0 -> -1.0 +fmax36766 fma 1 -1 -0.0 -> -1.0 +fmax36767 fma 1 1 0.0 -> 1.0 +fmax36768 fma 1 1 -0.0 -> 1.0 + +fmax36771 fma 1 0.0 -1.0 -> -1.0 +fmax36772 fma 1 -0.0 -1.0 -> -1.0 +fmax36773 fma 1 0.0 1.0 -> 1.0 +fmax36774 fma 1 -0.0 1.0 -> 1.0 +fmax36775 fma 1 -1.0 0.0 -> -1.0 +fmax36776 fma 1 -1.0 -0.0 -> -1.0 +fmax36777 fma 1 1.0 0.0 -> 1.0 +fmax36778 fma 1 1.0 -0.0 -> 1.0 + +-- Specials +fmax36780 fma 1 -Inf -Inf -> -Infinity +fmax36781 fma 1 -Inf -1000 -> -Infinity +fmax36782 fma 1 -Inf -1 -> -Infinity +fmax36783 fma 1 -Inf -0 -> -Infinity +fmax36784 fma 1 -Inf 0 -> -Infinity +fmax36785 fma 1 -Inf 1 -> -Infinity +fmax36786 fma 1 -Inf 1000 -> -Infinity +fmax36787 fma 1 -1000 -Inf -> -Infinity +fmax36788 fma 1 -Inf -Inf -> -Infinity +fmax36789 fma 1 -1 -Inf -> -Infinity +fmax36790 fma 1 -0 -Inf -> -Infinity +fmax36791 fma 1 0 -Inf -> -Infinity +fmax36792 fma 1 1 -Inf -> -Infinity +fmax36793 fma 1 1000 -Inf -> -Infinity +fmax36794 fma 1 Inf -Inf -> NaN Invalid_operation + +fmax36800 fma 1 Inf -Inf -> NaN Invalid_operation +fmax36801 fma 1 Inf -1000 -> Infinity +fmax36802 fma 1 Inf -1 -> Infinity +fmax36803 fma 1 Inf -0 -> Infinity +fmax36804 fma 1 Inf 0 -> Infinity +fmax36805 fma 1 Inf 1 -> Infinity +fmax36806 fma 1 Inf 1000 -> Infinity +fmax36807 fma 1 Inf Inf -> Infinity +fmax36808 fma 1 -1000 Inf -> Infinity +fmax36809 fma 1 -Inf Inf -> NaN Invalid_operation +fmax36810 fma 1 -1 Inf -> Infinity +fmax36811 fma 1 -0 Inf -> Infinity +fmax36812 fma 1 0 Inf -> Infinity +fmax36813 fma 1 1 Inf -> Infinity +fmax36814 fma 1 1000 Inf -> Infinity +fmax36815 fma 1 Inf Inf -> Infinity + +fmax36821 fma 1 NaN -Inf -> NaN +fmax36822 fma 1 NaN -1000 -> NaN +fmax36823 fma 1 NaN -1 -> NaN +fmax36824 fma 1 NaN -0 -> NaN +fmax36825 fma 1 NaN 0 -> NaN +fmax36826 fma 1 NaN 1 -> NaN +fmax36827 fma 1 NaN 1000 -> NaN +fmax36828 fma 1 NaN Inf -> NaN +fmax36829 fma 1 NaN NaN -> NaN +fmax36830 fma 1 -Inf NaN -> NaN +fmax36831 fma 1 -1000 NaN -> NaN +fmax36832 fma 1 -1 NaN -> NaN +fmax36833 fma 1 -0 NaN -> NaN +fmax36834 fma 1 0 NaN -> NaN +fmax36835 fma 1 1 NaN -> NaN +fmax36836 fma 1 1000 NaN -> NaN +fmax36837 fma 1 Inf NaN -> NaN + +fmax36841 fma 1 sNaN -Inf -> NaN Invalid_operation +fmax36842 fma 1 sNaN -1000 -> NaN Invalid_operation +fmax36843 fma 1 sNaN -1 -> NaN Invalid_operation +fmax36844 fma 1 sNaN -0 -> NaN Invalid_operation +fmax36845 fma 1 sNaN 0 -> NaN Invalid_operation +fmax36846 fma 1 sNaN 1 -> NaN Invalid_operation +fmax36847 fma 1 sNaN 1000 -> NaN Invalid_operation +fmax36848 fma 1 sNaN NaN -> NaN Invalid_operation +fmax36849 fma 1 sNaN sNaN -> NaN Invalid_operation +fmax36850 fma 1 NaN sNaN -> NaN Invalid_operation +fmax36851 fma 1 -Inf sNaN -> NaN Invalid_operation +fmax36852 fma 1 -1000 sNaN -> NaN Invalid_operation +fmax36853 fma 1 -1 sNaN -> NaN Invalid_operation +fmax36854 fma 1 -0 sNaN -> NaN Invalid_operation +fmax36855 fma 1 0 sNaN -> NaN Invalid_operation +fmax36856 fma 1 1 sNaN -> NaN Invalid_operation +fmax36857 fma 1 1000 sNaN -> NaN Invalid_operation +fmax36858 fma 1 Inf sNaN -> NaN Invalid_operation +fmax36859 fma 1 NaN sNaN -> NaN Invalid_operation + +-- propagating NaNs +fmax36861 fma 1 NaN1 -Inf -> NaN1 +fmax36862 fma 1 +NaN2 -1000 -> NaN2 +fmax36863 fma 1 NaN3 1000 -> NaN3 +fmax36864 fma 1 NaN4 Inf -> NaN4 +fmax36865 fma 1 NaN5 +NaN6 -> NaN5 +fmax36866 fma 1 -Inf NaN7 -> NaN7 +fmax36867 fma 1 -1000 NaN8 -> NaN8 +fmax36868 fma 1 1000 NaN9 -> NaN9 +fmax36869 fma 1 Inf +NaN10 -> NaN10 +fmax36871 fma 1 sNaN11 -Inf -> NaN11 Invalid_operation +fmax36872 fma 1 sNaN12 -1000 -> NaN12 Invalid_operation +fmax36873 fma 1 sNaN13 1000 -> NaN13 Invalid_operation +fmax36874 fma 1 sNaN14 NaN17 -> NaN14 Invalid_operation +fmax36875 fma 1 sNaN15 sNaN18 -> NaN15 Invalid_operation +fmax36876 fma 1 NaN16 sNaN19 -> NaN19 Invalid_operation +fmax36877 fma 1 -Inf +sNaN20 -> NaN20 Invalid_operation +fmax36878 fma 1 -1000 sNaN21 -> NaN21 Invalid_operation +fmax36879 fma 1 1000 sNaN22 -> NaN22 Invalid_operation +fmax36880 fma 1 Inf sNaN23 -> NaN23 Invalid_operation +fmax36881 fma 1 +NaN25 +sNaN24 -> NaN24 Invalid_operation +fmax36882 fma 1 -NaN26 NaN28 -> -NaN26 +fmax36883 fma 1 -sNaN27 sNaN29 -> -NaN27 Invalid_operation +fmax36884 fma 1 1000 -NaN30 -> -NaN30 +fmax36885 fma 1 1000 -sNaN31 -> -NaN31 Invalid_operation + +-- now the case where we can get underflow but the result is normal +-- [note this can't happen if the operands are also bounded, as we +-- cannot represent 1E-399, for example] + +fmax36571 fma 1 1E-383 0 -> 1E-383 +fmax36572 fma 1 1E-384 0 -> 1E-384 Subnormal +fmax36573 fma 1 1E-383 1E-384 -> 1.1E-383 +fmax36574 subtract 1E-383 1E-384 -> 9E-384 Subnormal + +-- Here we explore the boundary of rounding a subnormal to Nmin +fmax36575 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal +fmax36576 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal +fmax36577 subtract 1E-383 1E-399 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded +fmax36578 subtract 1E-383 1E-400 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded +fmax36579 subtract 1E-383 1E-401 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded +fmax36580 subtract 1E-383 1E-402 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded + +-- check overflow edge case +-- 1234567890123456 +fmax36972 apply 9.999999999999999E+384 -> 9.999999999999999E+384 +fmax36973 fma 1 9.999999999999999E+384 1 -> 9.999999999999999E+384 Inexact Rounded +fmax36974 fma 1 9999999999999999E+369 1 -> 9.999999999999999E+384 Inexact Rounded +fmax36975 fma 1 9999999999999999E+369 1E+369 -> Infinity Overflow Inexact Rounded +fmax36976 fma 1 9999999999999999E+369 9E+368 -> Infinity Overflow Inexact Rounded +fmax36977 fma 1 9999999999999999E+369 8E+368 -> Infinity Overflow Inexact Rounded +fmax36978 fma 1 9999999999999999E+369 7E+368 -> Infinity Overflow Inexact Rounded +fmax36979 fma 1 9999999999999999E+369 6E+368 -> Infinity Overflow Inexact Rounded +fmax36980 fma 1 9999999999999999E+369 5E+368 -> Infinity Overflow Inexact Rounded +fmax36981 fma 1 9999999999999999E+369 4E+368 -> 9.999999999999999E+384 Inexact Rounded +fmax36982 fma 1 9999999999999999E+369 3E+368 -> 9.999999999999999E+384 Inexact Rounded +fmax36983 fma 1 9999999999999999E+369 2E+368 -> 9.999999999999999E+384 Inexact Rounded +fmax36984 fma 1 9999999999999999E+369 1E+368 -> 9.999999999999999E+384 Inexact Rounded + +fmax36985 apply -9.999999999999999E+384 -> -9.999999999999999E+384 +fmax36986 fma 1 -9.999999999999999E+384 -1 -> -9.999999999999999E+384 Inexact Rounded +fmax36987 fma 1 -9999999999999999E+369 -1 -> -9.999999999999999E+384 Inexact Rounded +fmax36988 fma 1 -9999999999999999E+369 -1E+369 -> -Infinity Overflow Inexact Rounded +fmax36989 fma 1 -9999999999999999E+369 -9E+368 -> -Infinity Overflow Inexact Rounded +fmax36990 fma 1 -9999999999999999E+369 -8E+368 -> -Infinity Overflow Inexact Rounded +fmax36991 fma 1 -9999999999999999E+369 -7E+368 -> -Infinity Overflow Inexact Rounded +fmax36992 fma 1 -9999999999999999E+369 -6E+368 -> -Infinity Overflow Inexact Rounded +fmax36993 fma 1 -9999999999999999E+369 -5E+368 -> -Infinity Overflow Inexact Rounded +fmax36994 fma 1 -9999999999999999E+369 -4E+368 -> -9.999999999999999E+384 Inexact Rounded +fmax36995 fma 1 -9999999999999999E+369 -3E+368 -> -9.999999999999999E+384 Inexact Rounded +fmax36996 fma 1 -9999999999999999E+369 -2E+368 -> -9.999999999999999E+384 Inexact Rounded +fmax36997 fma 1 -9999999999999999E+369 -1E+368 -> -9.999999999999999E+384 Inexact Rounded + +-- And for round down full and subnormal results +rounding: down +fmax361100 fma 1 1e+2 -1e-383 -> 99.99999999999999 Rounded Inexact +fmax361101 fma 1 1e+1 -1e-383 -> 9.999999999999999 Rounded Inexact +fmax361103 fma 1 +1 -1e-383 -> 0.9999999999999999 Rounded Inexact +fmax361104 fma 1 1e-1 -1e-383 -> 0.09999999999999999 Rounded Inexact +fmax361105 fma 1 1e-2 -1e-383 -> 0.009999999999999999 Rounded Inexact +fmax361106 fma 1 1e-3 -1e-383 -> 0.0009999999999999999 Rounded Inexact +fmax361107 fma 1 1e-4 -1e-383 -> 0.00009999999999999999 Rounded Inexact +fmax361108 fma 1 1e-5 -1e-383 -> 0.000009999999999999999 Rounded Inexact +fmax361109 fma 1 1e-6 -1e-383 -> 9.999999999999999E-7 Rounded Inexact + +rounding: ceiling +fmax361110 fma 1 -1e+2 +1e-383 -> -99.99999999999999 Rounded Inexact +fmax361111 fma 1 -1e+1 +1e-383 -> -9.999999999999999 Rounded Inexact +fmax361113 fma 1 -1 +1e-383 -> -0.9999999999999999 Rounded Inexact +fmax361114 fma 1 -1e-1 +1e-383 -> -0.09999999999999999 Rounded Inexact +fmax361115 fma 1 -1e-2 +1e-383 -> -0.009999999999999999 Rounded Inexact +fmax361116 fma 1 -1e-3 +1e-383 -> -0.0009999999999999999 Rounded Inexact +fmax361117 fma 1 -1e-4 +1e-383 -> -0.00009999999999999999 Rounded Inexact +fmax361118 fma 1 -1e-5 +1e-383 -> -0.000009999999999999999 Rounded Inexact +fmax361119 fma 1 -1e-6 +1e-383 -> -9.999999999999999E-7 Rounded Inexact + +-- tests based on Gunnar Degnbol's edge case +rounding: half_even + +fmax361300 fma 1 1E16 -0.5 -> 1.000000000000000E+16 Inexact Rounded +fmax361310 fma 1 1E16 -0.51 -> 9999999999999999 Inexact Rounded +fmax361311 fma 1 1E16 -0.501 -> 9999999999999999 Inexact Rounded +fmax361312 fma 1 1E16 -0.5001 -> 9999999999999999 Inexact Rounded +fmax361313 fma 1 1E16 -0.50001 -> 9999999999999999 Inexact Rounded +fmax361314 fma 1 1E16 -0.500001 -> 9999999999999999 Inexact Rounded +fmax361315 fma 1 1E16 -0.5000001 -> 9999999999999999 Inexact Rounded +fmax361316 fma 1 1E16 -0.50000001 -> 9999999999999999 Inexact Rounded +fmax361317 fma 1 1E16 -0.500000001 -> 9999999999999999 Inexact Rounded +fmax361318 fma 1 1E16 -0.5000000001 -> 9999999999999999 Inexact Rounded +fmax361319 fma 1 1E16 -0.50000000001 -> 9999999999999999 Inexact Rounded +fmax361320 fma 1 1E16 -0.500000000001 -> 9999999999999999 Inexact Rounded +fmax361321 fma 1 1E16 -0.5000000000001 -> 9999999999999999 Inexact Rounded +fmax361322 fma 1 1E16 -0.50000000000001 -> 9999999999999999 Inexact Rounded +fmax361323 fma 1 1E16 -0.500000000000001 -> 9999999999999999 Inexact Rounded +fmax361324 fma 1 1E16 -0.5000000000000001 -> 9999999999999999 Inexact Rounded +fmax361325 fma 1 1E16 -0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded +fmax361326 fma 1 1E16 -0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded +fmax361327 fma 1 1E16 -0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded +fmax361328 fma 1 1E16 -0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded +fmax361329 fma 1 1E16 -0.500000000000 -> 1.000000000000000E+16 Inexact Rounded +fmax361330 fma 1 1E16 -0.50000000000 -> 1.000000000000000E+16 Inexact Rounded +fmax361331 fma 1 1E16 -0.5000000000 -> 1.000000000000000E+16 Inexact Rounded +fmax361332 fma 1 1E16 -0.500000000 -> 1.000000000000000E+16 Inexact Rounded +fmax361333 fma 1 1E16 -0.50000000 -> 1.000000000000000E+16 Inexact Rounded +fmax361334 fma 1 1E16 -0.5000000 -> 1.000000000000000E+16 Inexact Rounded +fmax361335 fma 1 1E16 -0.500000 -> 1.000000000000000E+16 Inexact Rounded +fmax361336 fma 1 1E16 -0.50000 -> 1.000000000000000E+16 Inexact Rounded +fmax361337 fma 1 1E16 -0.5000 -> 1.000000000000000E+16 Inexact Rounded +fmax361338 fma 1 1E16 -0.500 -> 1.000000000000000E+16 Inexact Rounded +fmax361339 fma 1 1E16 -0.50 -> 1.000000000000000E+16 Inexact Rounded + +fmax361340 fma 1 1E16 -5000000.000010001 -> 9999999995000000 Inexact Rounded +fmax361341 fma 1 1E16 -5000000.000000001 -> 9999999995000000 Inexact Rounded + +fmax361349 fma 1 9999999999999999 0.4 -> 9999999999999999 Inexact Rounded +fmax361350 fma 1 9999999999999999 0.49 -> 9999999999999999 Inexact Rounded +fmax361351 fma 1 9999999999999999 0.499 -> 9999999999999999 Inexact Rounded +fmax361352 fma 1 9999999999999999 0.4999 -> 9999999999999999 Inexact Rounded +fmax361353 fma 1 9999999999999999 0.49999 -> 9999999999999999 Inexact Rounded +fmax361354 fma 1 9999999999999999 0.499999 -> 9999999999999999 Inexact Rounded +fmax361355 fma 1 9999999999999999 0.4999999 -> 9999999999999999 Inexact Rounded +fmax361356 fma 1 9999999999999999 0.49999999 -> 9999999999999999 Inexact Rounded +fmax361357 fma 1 9999999999999999 0.499999999 -> 9999999999999999 Inexact Rounded +fmax361358 fma 1 9999999999999999 0.4999999999 -> 9999999999999999 Inexact Rounded +fmax361359 fma 1 9999999999999999 0.49999999999 -> 9999999999999999 Inexact Rounded +fmax361360 fma 1 9999999999999999 0.499999999999 -> 9999999999999999 Inexact Rounded +fmax361361 fma 1 9999999999999999 0.4999999999999 -> 9999999999999999 Inexact Rounded +fmax361362 fma 1 9999999999999999 0.49999999999999 -> 9999999999999999 Inexact Rounded +fmax361363 fma 1 9999999999999999 0.499999999999999 -> 9999999999999999 Inexact Rounded +fmax361364 fma 1 9999999999999999 0.4999999999999999 -> 9999999999999999 Inexact Rounded +fmax361365 fma 1 9999999999999999 0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded +fmax361367 fma 1 9999999999999999 0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded +fmax361368 fma 1 9999999999999999 0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded +fmax361369 fma 1 9999999999999999 0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded +fmax361370 fma 1 9999999999999999 0.500000000000 -> 1.000000000000000E+16 Inexact Rounded +fmax361371 fma 1 9999999999999999 0.50000000000 -> 1.000000000000000E+16 Inexact Rounded +fmax361372 fma 1 9999999999999999 0.5000000000 -> 1.000000000000000E+16 Inexact Rounded +fmax361373 fma 1 9999999999999999 0.500000000 -> 1.000000000000000E+16 Inexact Rounded +fmax361374 fma 1 9999999999999999 0.50000000 -> 1.000000000000000E+16 Inexact Rounded +fmax361375 fma 1 9999999999999999 0.5000000 -> 1.000000000000000E+16 Inexact Rounded +fmax361376 fma 1 9999999999999999 0.500000 -> 1.000000000000000E+16 Inexact Rounded +fmax361377 fma 1 9999999999999999 0.50000 -> 1.000000000000000E+16 Inexact Rounded +fmax361378 fma 1 9999999999999999 0.5000 -> 1.000000000000000E+16 Inexact Rounded +fmax361379 fma 1 9999999999999999 0.500 -> 1.000000000000000E+16 Inexact Rounded +fmax361380 fma 1 9999999999999999 0.50 -> 1.000000000000000E+16 Inexact Rounded +fmax361381 fma 1 9999999999999999 0.5 -> 1.000000000000000E+16 Inexact Rounded +fmax361382 fma 1 9999999999999999 0.5000000000000001 -> 1.000000000000000E+16 Inexact Rounded +fmax361383 fma 1 9999999999999999 0.500000000000001 -> 1.000000000000000E+16 Inexact Rounded +fmax361384 fma 1 9999999999999999 0.50000000000001 -> 1.000000000000000E+16 Inexact Rounded +fmax361385 fma 1 9999999999999999 0.5000000000001 -> 1.000000000000000E+16 Inexact Rounded +fmax361386 fma 1 9999999999999999 0.500000000001 -> 1.000000000000000E+16 Inexact Rounded +fmax361387 fma 1 9999999999999999 0.50000000001 -> 1.000000000000000E+16 Inexact Rounded +fmax361388 fma 1 9999999999999999 0.5000000001 -> 1.000000000000000E+16 Inexact Rounded +fmax361389 fma 1 9999999999999999 0.500000001 -> 1.000000000000000E+16 Inexact Rounded +fmax361390 fma 1 9999999999999999 0.50000001 -> 1.000000000000000E+16 Inexact Rounded +fmax361391 fma 1 9999999999999999 0.5000001 -> 1.000000000000000E+16 Inexact Rounded +fmax361392 fma 1 9999999999999999 0.500001 -> 1.000000000000000E+16 Inexact Rounded +fmax361393 fma 1 9999999999999999 0.50001 -> 1.000000000000000E+16 Inexact Rounded +fmax361394 fma 1 9999999999999999 0.5001 -> 1.000000000000000E+16 Inexact Rounded +fmax361395 fma 1 9999999999999999 0.501 -> 1.000000000000000E+16 Inexact Rounded +fmax361396 fma 1 9999999999999999 0.51 -> 1.000000000000000E+16 Inexact Rounded + +-- More GD edge cases, where difference between the unadjusted +-- exponents is larger than the maximum precision and one side is 0 +fmax361420 fma 1 0 1.123456789012345 -> 1.123456789012345 +fmax361421 fma 1 0 1.123456789012345E-1 -> 0.1123456789012345 +fmax361422 fma 1 0 1.123456789012345E-2 -> 0.01123456789012345 +fmax361423 fma 1 0 1.123456789012345E-3 -> 0.001123456789012345 +fmax361424 fma 1 0 1.123456789012345E-4 -> 0.0001123456789012345 +fmax361425 fma 1 0 1.123456789012345E-5 -> 0.00001123456789012345 +fmax361426 fma 1 0 1.123456789012345E-6 -> 0.000001123456789012345 +fmax361427 fma 1 0 1.123456789012345E-7 -> 1.123456789012345E-7 +fmax361428 fma 1 0 1.123456789012345E-8 -> 1.123456789012345E-8 +fmax361429 fma 1 0 1.123456789012345E-9 -> 1.123456789012345E-9 +fmax361430 fma 1 0 1.123456789012345E-10 -> 1.123456789012345E-10 +fmax361431 fma 1 0 1.123456789012345E-11 -> 1.123456789012345E-11 +fmax361432 fma 1 0 1.123456789012345E-12 -> 1.123456789012345E-12 +fmax361433 fma 1 0 1.123456789012345E-13 -> 1.123456789012345E-13 +fmax361434 fma 1 0 1.123456789012345E-14 -> 1.123456789012345E-14 +fmax361435 fma 1 0 1.123456789012345E-15 -> 1.123456789012345E-15 +fmax361436 fma 1 0 1.123456789012345E-16 -> 1.123456789012345E-16 +fmax361437 fma 1 0 1.123456789012345E-17 -> 1.123456789012345E-17 +fmax361438 fma 1 0 1.123456789012345E-18 -> 1.123456789012345E-18 +fmax361439 fma 1 0 1.123456789012345E-19 -> 1.123456789012345E-19 + +-- same, reversed 0 +fmax361440 fma 1 1.123456789012345 0 -> 1.123456789012345 +fmax361441 fma 1 1.123456789012345E-1 0 -> 0.1123456789012345 +fmax361442 fma 1 1.123456789012345E-2 0 -> 0.01123456789012345 +fmax361443 fma 1 1.123456789012345E-3 0 -> 0.001123456789012345 +fmax361444 fma 1 1.123456789012345E-4 0 -> 0.0001123456789012345 +fmax361445 fma 1 1.123456789012345E-5 0 -> 0.00001123456789012345 +fmax361446 fma 1 1.123456789012345E-6 0 -> 0.000001123456789012345 +fmax361447 fma 1 1.123456789012345E-7 0 -> 1.123456789012345E-7 +fmax361448 fma 1 1.123456789012345E-8 0 -> 1.123456789012345E-8 +fmax361449 fma 1 1.123456789012345E-9 0 -> 1.123456789012345E-9 +fmax361450 fma 1 1.123456789012345E-10 0 -> 1.123456789012345E-10 +fmax361451 fma 1 1.123456789012345E-11 0 -> 1.123456789012345E-11 +fmax361452 fma 1 1.123456789012345E-12 0 -> 1.123456789012345E-12 +fmax361453 fma 1 1.123456789012345E-13 0 -> 1.123456789012345E-13 +fmax361454 fma 1 1.123456789012345E-14 0 -> 1.123456789012345E-14 +fmax361455 fma 1 1.123456789012345E-15 0 -> 1.123456789012345E-15 +fmax361456 fma 1 1.123456789012345E-16 0 -> 1.123456789012345E-16 +fmax361457 fma 1 1.123456789012345E-17 0 -> 1.123456789012345E-17 +fmax361458 fma 1 1.123456789012345E-18 0 -> 1.123456789012345E-18 +fmax361459 fma 1 1.123456789012345E-19 0 -> 1.123456789012345E-19 + +-- same, Es on the 0 +fmax361460 fma 1 1.123456789012345 0E-0 -> 1.123456789012345 +fmax361461 fma 1 1.123456789012345 0E-1 -> 1.123456789012345 +fmax361462 fma 1 1.123456789012345 0E-2 -> 1.123456789012345 +fmax361463 fma 1 1.123456789012345 0E-3 -> 1.123456789012345 +fmax361464 fma 1 1.123456789012345 0E-4 -> 1.123456789012345 +fmax361465 fma 1 1.123456789012345 0E-5 -> 1.123456789012345 +fmax361466 fma 1 1.123456789012345 0E-6 -> 1.123456789012345 +fmax361467 fma 1 1.123456789012345 0E-7 -> 1.123456789012345 +fmax361468 fma 1 1.123456789012345 0E-8 -> 1.123456789012345 +fmax361469 fma 1 1.123456789012345 0E-9 -> 1.123456789012345 +fmax361470 fma 1 1.123456789012345 0E-10 -> 1.123456789012345 +fmax361471 fma 1 1.123456789012345 0E-11 -> 1.123456789012345 +fmax361472 fma 1 1.123456789012345 0E-12 -> 1.123456789012345 +fmax361473 fma 1 1.123456789012345 0E-13 -> 1.123456789012345 +fmax361474 fma 1 1.123456789012345 0E-14 -> 1.123456789012345 +fmax361475 fma 1 1.123456789012345 0E-15 -> 1.123456789012345 +-- next four flag Rounded because the 0 extends the result +fmax361476 fma 1 1.123456789012345 0E-16 -> 1.123456789012345 Rounded +fmax361477 fma 1 1.123456789012345 0E-17 -> 1.123456789012345 Rounded +fmax361478 fma 1 1.123456789012345 0E-18 -> 1.123456789012345 Rounded +fmax361479 fma 1 1.123456789012345 0E-19 -> 1.123456789012345 Rounded + +-- sum of two opposite-sign operands is exactly 0 and floor => -0 +rounding: half_up +-- exact zeros from zeros +fmax361500 fma 1 0 0E-19 -> 0E-19 +fmax361501 fma 1 -0 0E-19 -> 0E-19 +fmax361502 fma 1 0 -0E-19 -> 0E-19 +fmax361503 fma 1 -0 -0E-19 -> -0E-19 +fmax361504 fma 1 0E-400 0E-19 -> 0E-398 Clamped +fmax361505 fma 1 -0E-400 0E-19 -> 0E-398 Clamped +fmax361506 fma 1 0E-400 -0E-19 -> 0E-398 Clamped +fmax361507 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped +-- inexact zeros +fmax361511 fma 1 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped +fmax361512 fma 1 -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped +fmax361513 fma 1 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped +fmax361514 fma 1 -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped +-- some exact zeros from non-zeros +fmax361515 fma 1 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped +fmax361516 fma 1 -1E-401 1E-401 -> 0E-398 Clamped +fmax361517 fma 1 1E-401 -1E-401 -> 0E-398 Clamped +fmax361518 fma 1 -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped + +rounding: half_down +-- exact zeros from zeros +fmax361520 fma 1 0 0E-19 -> 0E-19 +fmax361521 fma 1 -0 0E-19 -> 0E-19 +fmax361522 fma 1 0 -0E-19 -> 0E-19 +fmax361523 fma 1 -0 -0E-19 -> -0E-19 +fmax361524 fma 1 0E-400 0E-19 -> 0E-398 Clamped +fmax361525 fma 1 -0E-400 0E-19 -> 0E-398 Clamped +fmax361526 fma 1 0E-400 -0E-19 -> 0E-398 Clamped +fmax361527 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped +-- inexact zeros +fmax361531 fma 1 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped +fmax361532 fma 1 -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped +fmax361533 fma 1 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped +fmax361534 fma 1 -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped +-- some exact zeros from non-zeros +fmax361535 fma 1 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped +fmax361536 fma 1 -1E-401 1E-401 -> 0E-398 Clamped +fmax361537 fma 1 1E-401 -1E-401 -> 0E-398 Clamped +fmax361538 fma 1 -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped + +rounding: half_even +-- exact zeros from zeros +fmax361540 fma 1 0 0E-19 -> 0E-19 +fmax361541 fma 1 -0 0E-19 -> 0E-19 +fmax361542 fma 1 0 -0E-19 -> 0E-19 +fmax361543 fma 1 -0 -0E-19 -> -0E-19 +fmax361544 fma 1 0E-400 0E-19 -> 0E-398 Clamped +fmax361545 fma 1 -0E-400 0E-19 -> 0E-398 Clamped +fmax361546 fma 1 0E-400 -0E-19 -> 0E-398 Clamped +fmax361547 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped +-- inexact zeros +fmax361551 fma 1 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped +fmax361552 fma 1 -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped +fmax361553 fma 1 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped +fmax361554 fma 1 -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped +-- some exact zeros from non-zeros +fmax361555 fma 1 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped +fmax361556 fma 1 -1E-401 1E-401 -> 0E-398 Clamped +fmax361557 fma 1 1E-401 -1E-401 -> 0E-398 Clamped +fmax361558 fma 1 -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped + +rounding: up +-- exact zeros from zeros +fmax361560 fma 1 0 0E-19 -> 0E-19 +fmax361561 fma 1 -0 0E-19 -> 0E-19 +fmax361562 fma 1 0 -0E-19 -> 0E-19 +fmax361563 fma 1 -0 -0E-19 -> -0E-19 +fmax361564 fma 1 0E-400 0E-19 -> 0E-398 Clamped +fmax361565 fma 1 -0E-400 0E-19 -> 0E-398 Clamped +fmax361566 fma 1 0E-400 -0E-19 -> 0E-398 Clamped +fmax361567 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped +-- inexact zeros +fmax361571 fma 1 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow +fmax361572 fma 1 -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow +fmax361573 fma 1 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow +fmax361574 fma 1 -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow +-- some exact zeros from non-zeros +fmax361575 fma 1 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow +fmax361576 fma 1 -1E-401 1E-401 -> 0E-398 Clamped +fmax361577 fma 1 1E-401 -1E-401 -> 0E-398 Clamped +fmax361578 fma 1 -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow + +rounding: down +-- exact zeros from zeros +fmax361580 fma 1 0 0E-19 -> 0E-19 +fmax361581 fma 1 -0 0E-19 -> 0E-19 +fmax361582 fma 1 0 -0E-19 -> 0E-19 +fmax361583 fma 1 -0 -0E-19 -> -0E-19 +fmax361584 fma 1 0E-400 0E-19 -> 0E-398 Clamped +fmax361585 fma 1 -0E-400 0E-19 -> 0E-398 Clamped +fmax361586 fma 1 0E-400 -0E-19 -> 0E-398 Clamped +fmax361587 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped +-- inexact zeros +fmax361591 fma 1 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped +fmax361592 fma 1 -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped +fmax361593 fma 1 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped +fmax361594 fma 1 -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped +-- some exact zeros from non-zeros +fmax361595 fma 1 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped +fmax361596 fma 1 -1E-401 1E-401 -> 0E-398 Clamped +fmax361597 fma 1 1E-401 -1E-401 -> 0E-398 Clamped +fmax361598 fma 1 -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped + +rounding: ceiling +-- exact zeros from zeros +fmax361600 fma 1 0 0E-19 -> 0E-19 +fmax361601 fma 1 -0 0E-19 -> 0E-19 +fmax361602 fma 1 0 -0E-19 -> 0E-19 +fmax361603 fma 1 -0 -0E-19 -> -0E-19 +fmax361604 fma 1 0E-400 0E-19 -> 0E-398 Clamped +fmax361605 fma 1 -0E-400 0E-19 -> 0E-398 Clamped +fmax361606 fma 1 0E-400 -0E-19 -> 0E-398 Clamped +fmax361607 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped +-- inexact zeros +fmax361611 fma 1 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow +fmax361612 fma 1 -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow +fmax361613 fma 1 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped +fmax361614 fma 1 -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped +-- some exact zeros from non-zeros +fmax361615 fma 1 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow +fmax361616 fma 1 -1E-401 1E-401 -> 0E-398 Clamped +fmax361617 fma 1 1E-401 -1E-401 -> 0E-398 Clamped +fmax361618 fma 1 -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped + +-- and the extra-special ugly case; unusual minuses marked by -- * +rounding: floor +-- exact zeros from zeros +fmax361620 fma 1 0 0E-19 -> 0E-19 +fmax361621 fma 1 -0 0E-19 -> -0E-19 -- * +fmax361622 fma 1 0 -0E-19 -> -0E-19 -- * +fmax361623 fma 1 -0 -0E-19 -> -0E-19 +fmax361624 fma 1 0E-400 0E-19 -> 0E-398 Clamped +fmax361625 fma 1 -0E-400 0E-19 -> -0E-398 Clamped -- * +fmax361626 fma 1 0E-400 -0E-19 -> -0E-398 Clamped -- * +fmax361627 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped +-- inexact zeros +fmax361631 fma 1 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped +fmax361632 fma 1 -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped +fmax361633 fma 1 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow +fmax361634 fma 1 -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow +-- some exact zeros from non-zeros +fmax361635 fma 1 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped +fmax361636 fma 1 -1E-401 1E-401 -> -0E-398 Clamped -- * +fmax361637 fma 1 1E-401 -1E-401 -> -0E-398 Clamped -- * +fmax361638 fma 1 -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow + +-- Examples from SQL proposal (Krishna Kulkarni) +fmax361701 fma 1 130E-2 120E-2 -> 2.50 +fmax361702 fma 1 130E-2 12E-1 -> 2.50 +fmax361703 fma 1 130E-2 1E0 -> 2.30 +fmax361704 fma 1 1E2 1E4 -> 1.01E+4 +fmax361705 subtract 130E-2 120E-2 -> 0.10 +fmax361706 subtract 130E-2 12E-1 -> 0.10 +fmax361707 subtract 130E-2 1E0 -> 0.30 +fmax361708 subtract 1E2 1E4 -> -9.9E+3 + +-- Gappy coefficients; check residue handling even with full coefficient gap +rounding: half_even + +fmax362001 fma 1 1234567890123456 1 -> 1234567890123457 +fmax362002 fma 1 1234567890123456 0.6 -> 1234567890123457 Inexact Rounded +fmax362003 fma 1 1234567890123456 0.06 -> 1234567890123456 Inexact Rounded +fmax362004 fma 1 1234567890123456 6E-3 -> 1234567890123456 Inexact Rounded +fmax362005 fma 1 1234567890123456 6E-4 -> 1234567890123456 Inexact Rounded +fmax362006 fma 1 1234567890123456 6E-5 -> 1234567890123456 Inexact Rounded +fmax362007 fma 1 1234567890123456 6E-6 -> 1234567890123456 Inexact Rounded +fmax362008 fma 1 1234567890123456 6E-7 -> 1234567890123456 Inexact Rounded +fmax362009 fma 1 1234567890123456 6E-8 -> 1234567890123456 Inexact Rounded +fmax362010 fma 1 1234567890123456 6E-9 -> 1234567890123456 Inexact Rounded +fmax362011 fma 1 1234567890123456 6E-10 -> 1234567890123456 Inexact Rounded +fmax362012 fma 1 1234567890123456 6E-11 -> 1234567890123456 Inexact Rounded +fmax362013 fma 1 1234567890123456 6E-12 -> 1234567890123456 Inexact Rounded +fmax362014 fma 1 1234567890123456 6E-13 -> 1234567890123456 Inexact Rounded +fmax362015 fma 1 1234567890123456 6E-14 -> 1234567890123456 Inexact Rounded +fmax362016 fma 1 1234567890123456 6E-15 -> 1234567890123456 Inexact Rounded +fmax362017 fma 1 1234567890123456 6E-16 -> 1234567890123456 Inexact Rounded +fmax362018 fma 1 1234567890123456 6E-17 -> 1234567890123456 Inexact Rounded +fmax362019 fma 1 1234567890123456 6E-18 -> 1234567890123456 Inexact Rounded +fmax362020 fma 1 1234567890123456 6E-19 -> 1234567890123456 Inexact Rounded +fmax362021 fma 1 1234567890123456 6E-20 -> 1234567890123456 Inexact Rounded + +-- widening second argument at gap +fmax362030 fma 1 12345678 1 -> 12345679 +fmax362031 fma 1 12345678 0.1 -> 12345678.1 +fmax362032 fma 1 12345678 0.12 -> 12345678.12 +fmax362033 fma 1 12345678 0.123 -> 12345678.123 +fmax362034 fma 1 12345678 0.1234 -> 12345678.1234 +fmax362035 fma 1 12345678 0.12345 -> 12345678.12345 +fmax362036 fma 1 12345678 0.123456 -> 12345678.123456 +fmax362037 fma 1 12345678 0.1234567 -> 12345678.1234567 +fmax362038 fma 1 12345678 0.12345678 -> 12345678.12345678 +fmax362039 fma 1 12345678 0.123456789 -> 12345678.12345679 Inexact Rounded +fmax362040 fma 1 12345678 0.123456785 -> 12345678.12345678 Inexact Rounded +fmax362041 fma 1 12345678 0.1234567850 -> 12345678.12345678 Inexact Rounded +fmax362042 fma 1 12345678 0.1234567851 -> 12345678.12345679 Inexact Rounded +fmax362043 fma 1 12345678 0.12345678501 -> 12345678.12345679 Inexact Rounded +fmax362044 fma 1 12345678 0.123456785001 -> 12345678.12345679 Inexact Rounded +fmax362045 fma 1 12345678 0.1234567850001 -> 12345678.12345679 Inexact Rounded +fmax362046 fma 1 12345678 0.12345678500001 -> 12345678.12345679 Inexact Rounded +fmax362047 fma 1 12345678 0.123456785000001 -> 12345678.12345679 Inexact Rounded +fmax362048 fma 1 12345678 0.1234567850000001 -> 12345678.12345679 Inexact Rounded +fmax362049 fma 1 12345678 0.1234567850000000 -> 12345678.12345678 Inexact Rounded +-- 90123456 +rounding: half_even +fmax362050 fma 1 12345678 0.0234567750000000 -> 12345678.02345678 Inexact Rounded +fmax362051 fma 1 12345678 0.0034567750000000 -> 12345678.00345678 Inexact Rounded +fmax362052 fma 1 12345678 0.0004567750000000 -> 12345678.00045678 Inexact Rounded +fmax362053 fma 1 12345678 0.0000567750000000 -> 12345678.00005678 Inexact Rounded +fmax362054 fma 1 12345678 0.0000067750000000 -> 12345678.00000678 Inexact Rounded +fmax362055 fma 1 12345678 0.0000007750000000 -> 12345678.00000078 Inexact Rounded +fmax362056 fma 1 12345678 0.0000000750000000 -> 12345678.00000008 Inexact Rounded +fmax362057 fma 1 12345678 0.0000000050000000 -> 12345678.00000000 Inexact Rounded +fmax362060 fma 1 12345678 0.0234567750000001 -> 12345678.02345678 Inexact Rounded +fmax362061 fma 1 12345678 0.0034567750000001 -> 12345678.00345678 Inexact Rounded +fmax362062 fma 1 12345678 0.0004567750000001 -> 12345678.00045678 Inexact Rounded +fmax362063 fma 1 12345678 0.0000567750000001 -> 12345678.00005678 Inexact Rounded +fmax362064 fma 1 12345678 0.0000067750000001 -> 12345678.00000678 Inexact Rounded +fmax362065 fma 1 12345678 0.0000007750000001 -> 12345678.00000078 Inexact Rounded +fmax362066 fma 1 12345678 0.0000000750000001 -> 12345678.00000008 Inexact Rounded +fmax362067 fma 1 12345678 0.0000000050000001 -> 12345678.00000001 Inexact Rounded +-- far-out residues (full coefficient gap is 16+15 digits) +rounding: up +fmax362070 fma 1 12345678 1E-8 -> 12345678.00000001 +fmax362071 fma 1 12345678 1E-9 -> 12345678.00000001 Inexact Rounded +fmax362072 fma 1 12345678 1E-10 -> 12345678.00000001 Inexact Rounded +fmax362073 fma 1 12345678 1E-11 -> 12345678.00000001 Inexact Rounded +fmax362074 fma 1 12345678 1E-12 -> 12345678.00000001 Inexact Rounded +fmax362075 fma 1 12345678 1E-13 -> 12345678.00000001 Inexact Rounded +fmax362076 fma 1 12345678 1E-14 -> 12345678.00000001 Inexact Rounded +fmax362077 fma 1 12345678 1E-15 -> 12345678.00000001 Inexact Rounded +fmax362078 fma 1 12345678 1E-16 -> 12345678.00000001 Inexact Rounded +fmax362079 fma 1 12345678 1E-17 -> 12345678.00000001 Inexact Rounded +fmax362080 fma 1 12345678 1E-18 -> 12345678.00000001 Inexact Rounded +fmax362081 fma 1 12345678 1E-19 -> 12345678.00000001 Inexact Rounded +fmax362082 fma 1 12345678 1E-20 -> 12345678.00000001 Inexact Rounded +fmax362083 fma 1 12345678 1E-25 -> 12345678.00000001 Inexact Rounded +fmax362084 fma 1 12345678 1E-30 -> 12345678.00000001 Inexact Rounded +fmax362085 fma 1 12345678 1E-31 -> 12345678.00000001 Inexact Rounded +fmax362086 fma 1 12345678 1E-32 -> 12345678.00000001 Inexact Rounded +fmax362087 fma 1 12345678 1E-33 -> 12345678.00000001 Inexact Rounded +fmax362088 fma 1 12345678 1E-34 -> 12345678.00000001 Inexact Rounded +fmax362089 fma 1 12345678 1E-35 -> 12345678.00000001 Inexact Rounded + +-- payload decapitate x3 +precision: 5 +fmax363000 fma 1 1 sNaN1234567890 -> NaN67890 Invalid_operation +fmax363001 fma 1 -sNaN1234512345 1 -> -NaN12345 Invalid_operation +fmax363002 fma sNaN1234554321 1 1 -> NaN54321 Invalid_operation + +-- Null tests +fmax39990 fma 1 10 # -> NaN Invalid_operation +fmax39991 fma 1 # 10 -> NaN Invalid_operation |