| ------------------------------------------------------------------------ |
| -- 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 |
