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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 deleted file mode 100644 index a8197ef..0000000 --- a/lib/python2.7/test/decimaltestdata/fma.decTest +++ /dev/null @@ -1,3426 +0,0 @@ ------------------------------------------------------------------------- --- 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 |