| ------------------------------------------------------------------------ |
| -- ddFMA.decTest -- decDouble 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 |
| |
| precision: 16 |
| maxExponent: 384 |
| minExponent: -383 |
| extended: 1 |
| clamp: 1 |
| rounding: half_even |
| |
| -- These tests comprese three parts: |
| -- 1. Sanity checks and other three-operand tests (especially those |
| -- where the fused operation makes a difference) |
| -- 2. Multiply tests (third operand is neutral zero [0E+emax]) |
| -- 3. Addition tests (first operand is 1) |
| -- The multiply and addition tests are extensive because FMA may have |
| -- its own dedicated multiplication or addition routine(s), and they |
| -- also inherently check the left-to-right properties. |
| |
| -- Sanity checks |
| ddfma0001 fma 1 1 1 -> 2 |
| ddfma0002 fma 1 1 2 -> 3 |
| ddfma0003 fma 2 2 3 -> 7 |
| ddfma0004 fma 9 9 9 -> 90 |
| ddfma0005 fma -1 1 1 -> 0 |
| ddfma0006 fma -1 1 2 -> 1 |
| ddfma0007 fma -2 2 3 -> -1 |
| ddfma0008 fma -9 9 9 -> -72 |
| ddfma0011 fma 1 -1 1 -> 0 |
| ddfma0012 fma 1 -1 2 -> 1 |
| ddfma0013 fma 2 -2 3 -> -1 |
| ddfma0014 fma 9 -9 9 -> -72 |
| ddfma0015 fma 1 1 -1 -> 0 |
| ddfma0016 fma 1 1 -2 -> -1 |
| ddfma0017 fma 2 2 -3 -> 1 |
| ddfma0018 fma 9 9 -9 -> 72 |
| |
| -- non-integer exacts |
| ddfma0100 fma 25.2 63.6 -438 -> 1164.72 |
| ddfma0101 fma 0.301 0.380 334 -> 334.114380 |
| ddfma0102 fma 49.2 -4.8 23.3 -> -212.86 |
| ddfma0103 fma 4.22 0.079 -94.6 -> -94.26662 |
| ddfma0104 fma 903 0.797 0.887 -> 720.578 |
| ddfma0105 fma 6.13 -161 65.9 -> -921.03 |
| ddfma0106 fma 28.2 727 5.45 -> 20506.85 |
| ddfma0107 fma 4 605 688 -> 3108 |
| ddfma0108 fma 93.3 0.19 0.226 -> 17.953 |
| ddfma0109 fma 0.169 -341 5.61 -> -52.019 |
| ddfma0110 fma -72.2 30 -51.2 -> -2217.2 |
| ddfma0111 fma -0.409 13 20.4 -> 15.083 |
| ddfma0112 fma 317 77.0 19.0 -> 24428.0 |
| ddfma0113 fma 47 6.58 1.62 -> 310.88 |
| ddfma0114 fma 1.36 0.984 0.493 -> 1.83124 |
| ddfma0115 fma 72.7 274 1.56 -> 19921.36 |
| ddfma0116 fma 335 847 83 -> 283828 |
| ddfma0117 fma 666 0.247 25.4 -> 189.902 |
| ddfma0118 fma -3.87 3.06 78.0 -> 66.1578 |
| ddfma0119 fma 0.742 192 35.6 -> 178.064 |
| ddfma0120 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] |
| -- -> 7.123356429257969E+16 |
| ddfma0201 fma 27583489.6645 2582471078.04 2593183.42371 -> 7.123356429257970E+16 Inexact Rounded |
| -- -> 22813275328.80506 |
| ddfma0208 fma 24280.355566 939577.397653 2032.013252 -> 22813275328.80507 Inexact Rounded |
| -- -> -2.030397734278062E+16 |
| ddfma0209 fma 7848976432 -2586831.2281 137903.517909 -> -2.030397734278061E+16 Inexact Rounded |
| -- -> 2040774094814.077 |
| ddfma0217 fma 56890.388731 35872030.4255 339337.123410 -> 2040774094814.078 Inexact Rounded |
| -- -> 2.714469575205049E+18 |
| ddfma0220 fma 7533543.57445 360317763928 5073392.31638 -> 2.714469575205050E+18 Inexact Rounded |
| -- -> 1.011676297716716E+19 |
| ddfma0223 fma 739945255.563 13672312784.1 -994381.53572 -> 1.011676297716715E+19 Inexact Rounded |
| -- -> -2.914135721455315E+23 |
| ddfma0224 fma -413510957218 704729988550 9234162614.0 -> -2.914135721455314E+23 Inexact Rounded |
| -- -> 2.620119863365786E+17 |
| ddfma0226 fma 437484.00601 598906432790 894450638.442 -> 2.620119863365787E+17 Inexact Rounded |
| -- -> 1.272647995808178E+19 |
| ddfma0253 fma 73287556929 173651305.784 -358312568.389 -> 1.272647995808177E+19 Inexact Rounded |
| -- -> -1.753769320861851E+18 |
| ddfma0257 fma 203258304486 -8628278.8066 153127.446727 -> -1.753769320861850E+18 Inexact Rounded |
| -- -> -1.550737835263346E+17 |
| ddfma0260 fma 42560533.1774 -3643605282.86 178277.96377 -> -1.550737835263347E+17 Inexact Rounded |
| -- -> 2.897624620576005E+22 |
| ddfma0269 fma 142656587375 203118879670 604576103991 -> 2.897624620576004E+22 Inexact Rounded |
| |
| -- Cases where multiply would overflow or underflow if separate |
| fma0300 fma 9e+384 10 0 -> Infinity Overflow Inexact Rounded |
| fma0301 fma 1e+384 10 0 -> Infinity Overflow Inexact Rounded |
| fma0302 fma 1e+384 10 -1e+384 -> 9.000000000000000E+384 Clamped |
| fma0303 fma 1e+384 10 -9e+384 -> 1.000000000000000E+384 Clamped |
| -- subnormal etc. |
| fma0305 fma 1e-398 0.1 0 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped |
| fma0306 fma 1e-398 0.1 1 -> 1.000000000000000 Inexact Rounded |
| fma0307 fma 1e-398 0.1 1e-398 -> 1E-398 Underflow Subnormal Inexact Rounded |
| |
| -- Infinite combinations |
| ddfma0800 fma Inf Inf Inf -> Infinity |
| ddfma0801 fma Inf Inf -Inf -> NaN Invalid_operation |
| ddfma0802 fma Inf -Inf Inf -> NaN Invalid_operation |
| ddfma0803 fma Inf -Inf -Inf -> -Infinity |
| ddfma0804 fma -Inf Inf Inf -> NaN Invalid_operation |
| ddfma0805 fma -Inf Inf -Inf -> -Infinity |
| ddfma0806 fma -Inf -Inf Inf -> Infinity |
| ddfma0807 fma -Inf -Inf -Inf -> NaN Invalid_operation |
| |
| -- Triple NaN propagation |
| ddfma0900 fma NaN2 NaN3 NaN5 -> NaN2 |
| ddfma0901 fma 0 NaN3 NaN5 -> NaN3 |
| ddfma0902 fma 0 0 NaN5 -> NaN5 |
| -- first sNaN wins (consider qNaN from earlier sNaN being |
| -- overridden by an sNaN in third operand) |
| ddfma0903 fma sNaN1 sNaN2 sNaN3 -> NaN1 Invalid_operation |
| ddfma0904 fma 0 sNaN2 sNaN3 -> NaN2 Invalid_operation |
| ddfma0905 fma 0 0 sNaN3 -> NaN3 Invalid_operation |
| ddfma0906 fma sNaN1 sNaN2 sNaN3 -> NaN1 Invalid_operation |
| ddfma0907 fma NaN7 sNaN2 sNaN3 -> NaN2 Invalid_operation |
| ddfma0908 fma NaN7 NaN5 sNaN3 -> NaN3 Invalid_operation |
| |
| -- MULTIPLICATION TESTS ------------------------------------------------ |
| |
| -- sanity checks |
| ddfma2000 fma 2 2 0e+384 -> 4 |
| ddfma2001 fma 2 3 0e+384 -> 6 |
| ddfma2002 fma 5 1 0e+384 -> 5 |
| ddfma2003 fma 5 2 0e+384 -> 10 |
| ddfma2004 fma 1.20 2 0e+384 -> 2.40 |
| ddfma2005 fma 1.20 0 0e+384 -> 0.00 |
| ddfma2006 fma 1.20 -2 0e+384 -> -2.40 |
| ddfma2007 fma -1.20 2 0e+384 -> -2.40 |
| ddfma2008 fma -1.20 0 0e+384 -> 0.00 |
| ddfma2009 fma -1.20 -2 0e+384 -> 2.40 |
| ddfma2010 fma 5.09 7.1 0e+384 -> 36.139 |
| ddfma2011 fma 2.5 4 0e+384 -> 10.0 |
| ddfma2012 fma 2.50 4 0e+384 -> 10.00 |
| ddfma2013 fma 1.23456789 1.00000000 0e+384 -> 1.234567890000000 Rounded |
| ddfma2015 fma 2.50 4 0e+384 -> 10.00 |
| ddfma2016 fma 9.999999999 9.999999999 0e+384 -> 99.99999998000000 Inexact Rounded |
| ddfma2017 fma 9.999999999 -9.999999999 0e+384 -> -99.99999998000000 Inexact Rounded |
| ddfma2018 fma -9.999999999 9.999999999 0e+384 -> -99.99999998000000 Inexact Rounded |
| ddfma2019 fma -9.999999999 -9.999999999 0e+384 -> 99.99999998000000 Inexact Rounded |
| |
| -- zeros, etc. |
| ddfma2021 fma 0 0 0e+384 -> 0 |
| ddfma2022 fma 0 -0 0e+384 -> 0 |
| ddfma2023 fma -0 0 0e+384 -> 0 |
| ddfma2024 fma -0 -0 0e+384 -> 0 |
| ddfma2025 fma -0.0 -0.0 0e+384 -> 0.00 |
| ddfma2026 fma -0.0 -0.0 0e+384 -> 0.00 |
| ddfma2027 fma -0.0 -0.0 0e+384 -> 0.00 |
| ddfma2028 fma -0.0 -0.0 0e+384 -> 0.00 |
| ddfma2030 fma 5.00 1E-3 0e+384 -> 0.00500 |
| ddfma2031 fma 00.00 0.000 0e+384 -> 0.00000 |
| ddfma2032 fma 00.00 0E-3 0e+384 -> 0.00000 -- rhs is 0 |
| ddfma2033 fma 0E-3 00.00 0e+384 -> 0.00000 -- lhs is 0 |
| ddfma2034 fma -5.00 1E-3 0e+384 -> -0.00500 |
| ddfma2035 fma -00.00 0.000 0e+384 -> 0.00000 |
| ddfma2036 fma -00.00 0E-3 0e+384 -> 0.00000 -- rhs is 0 |
| ddfma2037 fma -0E-3 00.00 0e+384 -> 0.00000 -- lhs is 0 |
| ddfma2038 fma 5.00 -1E-3 0e+384 -> -0.00500 |
| ddfma2039 fma 00.00 -0.000 0e+384 -> 0.00000 |
| ddfma2040 fma 00.00 -0E-3 0e+384 -> 0.00000 -- rhs is 0 |
| ddfma2041 fma 0E-3 -00.00 0e+384 -> 0.00000 -- lhs is 0 |
| ddfma2042 fma -5.00 -1E-3 0e+384 -> 0.00500 |
| ddfma2043 fma -00.00 -0.000 0e+384 -> 0.00000 |
| ddfma2044 fma -00.00 -0E-3 0e+384 -> 0.00000 -- rhs is 0 |
| ddfma2045 fma -0E-3 -00.00 -0e+384 -> 0.00000 -- lhs is 0 |
| ddfma2046 fma -0E-3 00.00 -0e+384 -> -0.00000 |
| ddfma2047 fma 0E-3 -00.00 -0e+384 -> -0.00000 |
| ddfma2048 fma 0E-3 00.00 -0e+384 -> 0.00000 |
| |
| -- examples from decarith |
| ddfma2050 fma 1.20 3 0e+384 -> 3.60 |
| ddfma2051 fma 7 3 0e+384 -> 21 |
| ddfma2052 fma 0.9 0.8 0e+384 -> 0.72 |
| ddfma2053 fma 0.9 -0 0e+384 -> 0.0 |
| ddfma2054 fma 654321 654321 0e+384 -> 428135971041 |
| |
| ddfma2060 fma 123.45 1e7 0e+384 -> 1.2345E+9 |
| ddfma2061 fma 123.45 1e8 0e+384 -> 1.2345E+10 |
| ddfma2062 fma 123.45 1e+9 0e+384 -> 1.2345E+11 |
| ddfma2063 fma 123.45 1e10 0e+384 -> 1.2345E+12 |
| ddfma2064 fma 123.45 1e11 0e+384 -> 1.2345E+13 |
| ddfma2065 fma 123.45 1e12 0e+384 -> 1.2345E+14 |
| ddfma2066 fma 123.45 1e13 0e+384 -> 1.2345E+15 |
| |
| |
| -- test some intermediate lengths |
| -- 1234567890123456 |
| ddfma2080 fma 0.1 1230123456456789 0e+384 -> 123012345645678.9 |
| ddfma2084 fma 0.1 1230123456456789 0e+384 -> 123012345645678.9 |
| ddfma2090 fma 1230123456456789 0.1 0e+384 -> 123012345645678.9 |
| ddfma2094 fma 1230123456456789 0.1 0e+384 -> 123012345645678.9 |
| |
| -- test some more edge cases and carries |
| ddfma2101 fma 9 9 0e+384 -> 81 |
| ddfma2102 fma 9 90 0e+384 -> 810 |
| ddfma2103 fma 9 900 0e+384 -> 8100 |
| ddfma2104 fma 9 9000 0e+384 -> 81000 |
| ddfma2105 fma 9 90000 0e+384 -> 810000 |
| ddfma2106 fma 9 900000 0e+384 -> 8100000 |
| ddfma2107 fma 9 9000000 0e+384 -> 81000000 |
| ddfma2108 fma 9 90000000 0e+384 -> 810000000 |
| ddfma2109 fma 9 900000000 0e+384 -> 8100000000 |
| ddfma2110 fma 9 9000000000 0e+384 -> 81000000000 |
| ddfma2111 fma 9 90000000000 0e+384 -> 810000000000 |
| ddfma2112 fma 9 900000000000 0e+384 -> 8100000000000 |
| ddfma2113 fma 9 9000000000000 0e+384 -> 81000000000000 |
| ddfma2114 fma 9 90000000000000 0e+384 -> 810000000000000 |
| ddfma2115 fma 9 900000000000000 0e+384 -> 8100000000000000 |
| --ddfma2116 fma 9 9000000000000000 0e+384 -> 81000000000000000 |
| --ddfma2117 fma 9 90000000000000000 0e+384 -> 810000000000000000 |
| --ddfma2118 fma 9 900000000000000000 0e+384 -> 8100000000000000000 |
| --ddfma2119 fma 9 9000000000000000000 0e+384 -> 81000000000000000000 |
| --ddfma2120 fma 9 90000000000000000000 0e+384 -> 810000000000000000000 |
| --ddfma2121 fma 9 900000000000000000000 0e+384 -> 8100000000000000000000 |
| --ddfma2122 fma 9 9000000000000000000000 0e+384 -> 81000000000000000000000 |
| --ddfma2123 fma 9 90000000000000000000000 0e+384 -> 810000000000000000000000 |
| -- test some more edge cases without carries |
| ddfma2131 fma 3 3 0e+384 -> 9 |
| ddfma2132 fma 3 30 0e+384 -> 90 |
| ddfma2133 fma 3 300 0e+384 -> 900 |
| ddfma2134 fma 3 3000 0e+384 -> 9000 |
| ddfma2135 fma 3 30000 0e+384 -> 90000 |
| ddfma2136 fma 3 300000 0e+384 -> 900000 |
| ddfma2137 fma 3 3000000 0e+384 -> 9000000 |
| ddfma2138 fma 3 30000000 0e+384 -> 90000000 |
| ddfma2139 fma 3 300000000 0e+384 -> 900000000 |
| ddfma2140 fma 3 3000000000 0e+384 -> 9000000000 |
| ddfma2141 fma 3 30000000000 0e+384 -> 90000000000 |
| ddfma2142 fma 3 300000000000 0e+384 -> 900000000000 |
| ddfma2143 fma 3 3000000000000 0e+384 -> 9000000000000 |
| ddfma2144 fma 3 30000000000000 0e+384 -> 90000000000000 |
| ddfma2145 fma 3 300000000000000 0e+384 -> 900000000000000 |
| |
| -- test some edge cases with exact rounding |
| ddfma2301 fma 9 9 0e+384 -> 81 |
| ddfma2302 fma 9 90 0e+384 -> 810 |
| ddfma2303 fma 9 900 0e+384 -> 8100 |
| ddfma2304 fma 9 9000 0e+384 -> 81000 |
| ddfma2305 fma 9 90000 0e+384 -> 810000 |
| ddfma2306 fma 9 900000 0e+384 -> 8100000 |
| ddfma2307 fma 9 9000000 0e+384 -> 81000000 |
| ddfma2308 fma 9 90000000 0e+384 -> 810000000 |
| ddfma2309 fma 9 900000000 0e+384 -> 8100000000 |
| ddfma2310 fma 9 9000000000 0e+384 -> 81000000000 |
| ddfma2311 fma 9 90000000000 0e+384 -> 810000000000 |
| ddfma2312 fma 9 900000000000 0e+384 -> 8100000000000 |
| ddfma2313 fma 9 9000000000000 0e+384 -> 81000000000000 |
| ddfma2314 fma 9 90000000000000 0e+384 -> 810000000000000 |
| ddfma2315 fma 9 900000000000000 0e+384 -> 8100000000000000 |
| ddfma2316 fma 9 9000000000000000 0e+384 -> 8.100000000000000E+16 Rounded |
| ddfma2317 fma 90 9000000000000000 0e+384 -> 8.100000000000000E+17 Rounded |
| ddfma2318 fma 900 9000000000000000 0e+384 -> 8.100000000000000E+18 Rounded |
| ddfma2319 fma 9000 9000000000000000 0e+384 -> 8.100000000000000E+19 Rounded |
| ddfma2320 fma 90000 9000000000000000 0e+384 -> 8.100000000000000E+20 Rounded |
| ddfma2321 fma 900000 9000000000000000 0e+384 -> 8.100000000000000E+21 Rounded |
| ddfma2322 fma 9000000 9000000000000000 0e+384 -> 8.100000000000000E+22 Rounded |
| ddfma2323 fma 90000000 9000000000000000 0e+384 -> 8.100000000000000E+23 Rounded |
| |
| -- tryzeros cases |
| ddfma2504 fma 0E-260 1000E-260 0e+384 -> 0E-398 Clamped |
| ddfma2505 fma 100E+260 0E+260 0e+384 -> 0E+369 Clamped |
| |
| -- mixed with zeros |
| ddfma2541 fma 0 -1 0e+384 -> 0 |
| ddfma2542 fma -0 -1 0e+384 -> 0 |
| ddfma2543 fma 0 1 0e+384 -> 0 |
| ddfma2544 fma -0 1 0e+384 -> 0 |
| ddfma2545 fma -1 0 0e+384 -> 0 |
| ddfma2546 fma -1 -0 0e+384 -> 0 |
| ddfma2547 fma 1 0 0e+384 -> 0 |
| ddfma2548 fma 1 -0 0e+384 -> 0 |
| |
| ddfma2551 fma 0.0 -1 0e+384 -> 0.0 |
| ddfma2552 fma -0.0 -1 0e+384 -> 0.0 |
| ddfma2553 fma 0.0 1 0e+384 -> 0.0 |
| ddfma2554 fma -0.0 1 0e+384 -> 0.0 |
| ddfma2555 fma -1.0 0 0e+384 -> 0.0 |
| ddfma2556 fma -1.0 -0 0e+384 -> 0.0 |
| ddfma2557 fma 1.0 0 0e+384 -> 0.0 |
| ddfma2558 fma 1.0 -0 0e+384 -> 0.0 |
| |
| ddfma2561 fma 0 -1.0 0e+384 -> 0.0 |
| ddfma2562 fma -0 -1.0 0e+384 -> 0.0 |
| ddfma2563 fma 0 1.0 0e+384 -> 0.0 |
| ddfma2564 fma -0 1.0 0e+384 -> 0.0 |
| ddfma2565 fma -1 0.0 0e+384 -> 0.0 |
| ddfma2566 fma -1 -0.0 0e+384 -> 0.0 |
| ddfma2567 fma 1 0.0 0e+384 -> 0.0 |
| ddfma2568 fma 1 -0.0 0e+384 -> 0.0 |
| |
| ddfma2571 fma 0.0 -1.0 0e+384 -> 0.00 |
| ddfma2572 fma -0.0 -1.0 0e+384 -> 0.00 |
| ddfma2573 fma 0.0 1.0 0e+384 -> 0.00 |
| ddfma2574 fma -0.0 1.0 0e+384 -> 0.00 |
| ddfma2575 fma -1.0 0.0 0e+384 -> 0.00 |
| ddfma2576 fma -1.0 -0.0 0e+384 -> 0.00 |
| ddfma2577 fma 1.0 0.0 0e+384 -> 0.00 |
| ddfma2578 fma 1.0 -0.0 0e+384 -> 0.00 |
| |
| -- Specials |
| ddfma2580 fma Inf -Inf 0e+384 -> -Infinity |
| ddfma2581 fma Inf -1000 0e+384 -> -Infinity |
| ddfma2582 fma Inf -1 0e+384 -> -Infinity |
| ddfma2583 fma Inf -0 0e+384 -> NaN Invalid_operation |
| ddfma2584 fma Inf 0 0e+384 -> NaN Invalid_operation |
| ddfma2585 fma Inf 1 0e+384 -> Infinity |
| ddfma2586 fma Inf 1000 0e+384 -> Infinity |
| ddfma2587 fma Inf Inf 0e+384 -> Infinity |
| ddfma2588 fma -1000 Inf 0e+384 -> -Infinity |
| ddfma2589 fma -Inf Inf 0e+384 -> -Infinity |
| ddfma2590 fma -1 Inf 0e+384 -> -Infinity |
| ddfma2591 fma -0 Inf 0e+384 -> NaN Invalid_operation |
| ddfma2592 fma 0 Inf 0e+384 -> NaN Invalid_operation |
| ddfma2593 fma 1 Inf 0e+384 -> Infinity |
| ddfma2594 fma 1000 Inf 0e+384 -> Infinity |
| ddfma2595 fma Inf Inf 0e+384 -> Infinity |
| |
| ddfma2600 fma -Inf -Inf 0e+384 -> Infinity |
| ddfma2601 fma -Inf -1000 0e+384 -> Infinity |
| ddfma2602 fma -Inf -1 0e+384 -> Infinity |
| ddfma2603 fma -Inf -0 0e+384 -> NaN Invalid_operation |
| ddfma2604 fma -Inf 0 0e+384 -> NaN Invalid_operation |
| ddfma2605 fma -Inf 1 0e+384 -> -Infinity |
| ddfma2606 fma -Inf 1000 0e+384 -> -Infinity |
| ddfma2607 fma -Inf Inf 0e+384 -> -Infinity |
| ddfma2608 fma -1000 Inf 0e+384 -> -Infinity |
| ddfma2609 fma -Inf -Inf 0e+384 -> Infinity |
| ddfma2610 fma -1 -Inf 0e+384 -> Infinity |
| ddfma2611 fma -0 -Inf 0e+384 -> NaN Invalid_operation |
| ddfma2612 fma 0 -Inf 0e+384 -> NaN Invalid_operation |
| ddfma2613 fma 1 -Inf 0e+384 -> -Infinity |
| ddfma2614 fma 1000 -Inf 0e+384 -> -Infinity |
| ddfma2615 fma Inf -Inf 0e+384 -> -Infinity |
| |
| ddfma2621 fma NaN -Inf 0e+384 -> NaN |
| ddfma2622 fma NaN -1000 0e+384 -> NaN |
| ddfma2623 fma NaN -1 0e+384 -> NaN |
| ddfma2624 fma NaN -0 0e+384 -> NaN |
| ddfma2625 fma NaN 0 0e+384 -> NaN |
| ddfma2626 fma NaN 1 0e+384 -> NaN |
| ddfma2627 fma NaN 1000 0e+384 -> NaN |
| ddfma2628 fma NaN Inf 0e+384 -> NaN |
| ddfma2629 fma NaN NaN 0e+384 -> NaN |
| ddfma2630 fma -Inf NaN 0e+384 -> NaN |
| ddfma2631 fma -1000 NaN 0e+384 -> NaN |
| ddfma2632 fma -1 NaN 0e+384 -> NaN |
| ddfma2633 fma -0 NaN 0e+384 -> NaN |
| ddfma2634 fma 0 NaN 0e+384 -> NaN |
| ddfma2635 fma 1 NaN 0e+384 -> NaN |
| ddfma2636 fma 1000 NaN 0e+384 -> NaN |
| ddfma2637 fma Inf NaN 0e+384 -> NaN |
| |
| ddfma2641 fma sNaN -Inf 0e+384 -> NaN Invalid_operation |
| ddfma2642 fma sNaN -1000 0e+384 -> NaN Invalid_operation |
| ddfma2643 fma sNaN -1 0e+384 -> NaN Invalid_operation |
| ddfma2644 fma sNaN -0 0e+384 -> NaN Invalid_operation |
| ddfma2645 fma sNaN 0 0e+384 -> NaN Invalid_operation |
| ddfma2646 fma sNaN 1 0e+384 -> NaN Invalid_operation |
| ddfma2647 fma sNaN 1000 0e+384 -> NaN Invalid_operation |
| ddfma2648 fma sNaN NaN 0e+384 -> NaN Invalid_operation |
| ddfma2649 fma sNaN sNaN 0e+384 -> NaN Invalid_operation |
| ddfma2650 fma NaN sNaN 0e+384 -> NaN Invalid_operation |
| ddfma2651 fma -Inf sNaN 0e+384 -> NaN Invalid_operation |
| ddfma2652 fma -1000 sNaN 0e+384 -> NaN Invalid_operation |
| ddfma2653 fma -1 sNaN 0e+384 -> NaN Invalid_operation |
| ddfma2654 fma -0 sNaN 0e+384 -> NaN Invalid_operation |
| ddfma2655 fma 0 sNaN 0e+384 -> NaN Invalid_operation |
| ddfma2656 fma 1 sNaN 0e+384 -> NaN Invalid_operation |
| ddfma2657 fma 1000 sNaN 0e+384 -> NaN Invalid_operation |
| ddfma2658 fma Inf sNaN 0e+384 -> NaN Invalid_operation |
| ddfma2659 fma NaN sNaN 0e+384 -> NaN Invalid_operation |
| |
| -- propagating NaNs |
| ddfma2661 fma NaN9 -Inf 0e+384 -> NaN9 |
| ddfma2662 fma NaN8 999 0e+384 -> NaN8 |
| ddfma2663 fma NaN71 Inf 0e+384 -> NaN71 |
| ddfma2664 fma NaN6 NaN5 0e+384 -> NaN6 |
| ddfma2665 fma -Inf NaN4 0e+384 -> NaN4 |
| ddfma2666 fma -999 NaN33 0e+384 -> NaN33 |
| ddfma2667 fma Inf NaN2 0e+384 -> NaN2 |
| |
| ddfma2671 fma sNaN99 -Inf 0e+384 -> NaN99 Invalid_operation |
| ddfma2672 fma sNaN98 -11 0e+384 -> NaN98 Invalid_operation |
| ddfma2673 fma sNaN97 NaN 0e+384 -> NaN97 Invalid_operation |
| ddfma2674 fma sNaN16 sNaN94 0e+384 -> NaN16 Invalid_operation |
| ddfma2675 fma NaN95 sNaN93 0e+384 -> NaN93 Invalid_operation |
| ddfma2676 fma -Inf sNaN92 0e+384 -> NaN92 Invalid_operation |
| ddfma2677 fma 088 sNaN91 0e+384 -> NaN91 Invalid_operation |
| ddfma2678 fma Inf sNaN90 0e+384 -> NaN90 Invalid_operation |
| ddfma2679 fma NaN sNaN89 0e+384 -> NaN89 Invalid_operation |
| |
| ddfma2681 fma -NaN9 -Inf 0e+384 -> -NaN9 |
| ddfma2682 fma -NaN8 999 0e+384 -> -NaN8 |
| ddfma2683 fma -NaN71 Inf 0e+384 -> -NaN71 |
| ddfma2684 fma -NaN6 -NaN5 0e+384 -> -NaN6 |
| ddfma2685 fma -Inf -NaN4 0e+384 -> -NaN4 |
| ddfma2686 fma -999 -NaN33 0e+384 -> -NaN33 |
| ddfma2687 fma Inf -NaN2 0e+384 -> -NaN2 |
| |
| ddfma2691 fma -sNaN99 -Inf 0e+384 -> -NaN99 Invalid_operation |
| ddfma2692 fma -sNaN98 -11 0e+384 -> -NaN98 Invalid_operation |
| ddfma2693 fma -sNaN97 NaN 0e+384 -> -NaN97 Invalid_operation |
| ddfma2694 fma -sNaN16 -sNaN94 0e+384 -> -NaN16 Invalid_operation |
| ddfma2695 fma -NaN95 -sNaN93 0e+384 -> -NaN93 Invalid_operation |
| ddfma2696 fma -Inf -sNaN92 0e+384 -> -NaN92 Invalid_operation |
| ddfma2697 fma 088 -sNaN91 0e+384 -> -NaN91 Invalid_operation |
| ddfma2698 fma Inf -sNaN90 0e+384 -> -NaN90 Invalid_operation |
| ddfma2699 fma -NaN -sNaN89 0e+384 -> -NaN89 Invalid_operation |
| |
| ddfma2701 fma -NaN -Inf 0e+384 -> -NaN |
| ddfma2702 fma -NaN 999 0e+384 -> -NaN |
| ddfma2703 fma -NaN Inf 0e+384 -> -NaN |
| ddfma2704 fma -NaN -NaN 0e+384 -> -NaN |
| ddfma2705 fma -Inf -NaN0 0e+384 -> -NaN |
| ddfma2706 fma -999 -NaN 0e+384 -> -NaN |
| ddfma2707 fma Inf -NaN 0e+384 -> -NaN |
| |
| ddfma2711 fma -sNaN -Inf 0e+384 -> -NaN Invalid_operation |
| ddfma2712 fma -sNaN -11 0e+384 -> -NaN Invalid_operation |
| ddfma2713 fma -sNaN00 NaN 0e+384 -> -NaN Invalid_operation |
| ddfma2714 fma -sNaN -sNaN 0e+384 -> -NaN Invalid_operation |
| ddfma2715 fma -NaN -sNaN 0e+384 -> -NaN Invalid_operation |
| ddfma2716 fma -Inf -sNaN 0e+384 -> -NaN Invalid_operation |
| ddfma2717 fma 088 -sNaN 0e+384 -> -NaN Invalid_operation |
| ddfma2718 fma Inf -sNaN 0e+384 -> -NaN Invalid_operation |
| ddfma2719 fma -NaN -sNaN 0e+384 -> -NaN Invalid_operation |
| |
| -- overflow and underflow tests .. note subnormal results |
| -- signs |
| ddfma2751 fma 1e+277 1e+311 0e+384 -> Infinity Overflow Inexact Rounded |
| ddfma2752 fma 1e+277 -1e+311 0e+384 -> -Infinity Overflow Inexact Rounded |
| ddfma2753 fma -1e+277 1e+311 0e+384 -> -Infinity Overflow Inexact Rounded |
| ddfma2754 fma -1e+277 -1e+311 0e+384 -> Infinity Overflow Inexact Rounded |
| ddfma2755 fma 1e-277 1e-311 0e+384 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped |
| ddfma2756 fma 1e-277 -1e-311 0e+384 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped |
| ddfma2757 fma -1e-277 1e-311 0e+384 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped |
| ddfma2758 fma -1e-277 -1e-311 0e+384 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped |
| |
| -- 'subnormal' boundary (all hard underflow or overflow in base arithemtic) |
| ddfma2760 fma 1e-291 1e-101 0e+384 -> 1E-392 Subnormal |
| ddfma2761 fma 1e-291 1e-102 0e+384 -> 1E-393 Subnormal |
| ddfma2762 fma 1e-291 1e-103 0e+384 -> 1E-394 Subnormal |
| ddfma2763 fma 1e-291 1e-104 0e+384 -> 1E-395 Subnormal |
| ddfma2764 fma 1e-291 1e-105 0e+384 -> 1E-396 Subnormal |
| ddfma2765 fma 1e-291 1e-106 0e+384 -> 1E-397 Subnormal |
| ddfma2766 fma 1e-291 1e-107 0e+384 -> 1E-398 Subnormal |
| ddfma2767 fma 1e-291 1e-108 0e+384 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped |
| ddfma2768 fma 1e-291 1e-109 0e+384 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped |
| ddfma2769 fma 1e-291 1e-110 0e+384 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped |
| -- [no equivalent of 'subnormal' for overflow] |
| ddfma2770 fma 1e+60 1e+321 0e+384 -> 1.000000000000E+381 Clamped |
| ddfma2771 fma 1e+60 1e+322 0e+384 -> 1.0000000000000E+382 Clamped |
| ddfma2772 fma 1e+60 1e+323 0e+384 -> 1.00000000000000E+383 Clamped |
| ddfma2773 fma 1e+60 1e+324 0e+384 -> 1.000000000000000E+384 Clamped |
| ddfma2774 fma 1e+60 1e+325 0e+384 -> Infinity Overflow Inexact Rounded |
| ddfma2775 fma 1e+60 1e+326 0e+384 -> Infinity Overflow Inexact Rounded |
| ddfma2776 fma 1e+60 1e+327 0e+384 -> Infinity Overflow Inexact Rounded |
| ddfma2777 fma 1e+60 1e+328 0e+384 -> Infinity Overflow Inexact Rounded |
| ddfma2778 fma 1e+60 1e+329 0e+384 -> Infinity Overflow Inexact Rounded |
| ddfma2779 fma 1e+60 1e+330 0e+384 -> Infinity Overflow Inexact Rounded |
| |
| ddfma2801 fma 1.0000E-394 1 0e+384 -> 1.0000E-394 Subnormal |
| ddfma2802 fma 1.000E-394 1e-1 0e+384 -> 1.000E-395 Subnormal |
| ddfma2803 fma 1.00E-394 1e-2 0e+384 -> 1.00E-396 Subnormal |
| ddfma2804 fma 1.0E-394 1e-3 0e+384 -> 1.0E-397 Subnormal |
| ddfma2805 fma 1.0E-394 1e-4 0e+384 -> 1E-398 Subnormal Rounded |
| ddfma2806 fma 1.3E-394 1e-4 0e+384 -> 1E-398 Underflow Subnormal Inexact Rounded |
| ddfma2807 fma 1.5E-394 1e-4 0e+384 -> 2E-398 Underflow Subnormal Inexact Rounded |
| ddfma2808 fma 1.7E-394 1e-4 0e+384 -> 2E-398 Underflow Subnormal Inexact Rounded |
| ddfma2809 fma 2.3E-394 1e-4 0e+384 -> 2E-398 Underflow Subnormal Inexact Rounded |
| ddfma2810 fma 2.5E-394 1e-4 0e+384 -> 2E-398 Underflow Subnormal Inexact Rounded |
| ddfma2811 fma 2.7E-394 1e-4 0e+384 -> 3E-398 Underflow Subnormal Inexact Rounded |
| ddfma2812 fma 1.49E-394 1e-4 0e+384 -> 1E-398 Underflow Subnormal Inexact Rounded |
| ddfma2813 fma 1.50E-394 1e-4 0e+384 -> 2E-398 Underflow Subnormal Inexact Rounded |
| ddfma2814 fma 1.51E-394 1e-4 0e+384 -> 2E-398 Underflow Subnormal Inexact Rounded |
| ddfma2815 fma 2.49E-394 1e-4 0e+384 -> 2E-398 Underflow Subnormal Inexact Rounded |
| ddfma2816 fma 2.50E-394 1e-4 0e+384 -> 2E-398 Underflow Subnormal Inexact Rounded |
| ddfma2817 fma 2.51E-394 1e-4 0e+384 -> 3E-398 Underflow Subnormal Inexact Rounded |
| |
| ddfma2818 fma 1E-394 1e-4 0e+384 -> 1E-398 Subnormal |
| ddfma2819 fma 3E-394 1e-5 0e+384 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped |
| ddfma2820 fma 5E-394 1e-5 0e+384 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped |
| ddfma2821 fma 7E-394 1e-5 0e+384 -> 1E-398 Underflow Subnormal Inexact Rounded |
| ddfma2822 fma 9E-394 1e-5 0e+384 -> 1E-398 Underflow Subnormal Inexact Rounded |
| ddfma2823 fma 9.9E-394 1e-5 0e+384 -> 1E-398 Underflow Subnormal Inexact Rounded |
| |
| ddfma2824 fma 1E-394 -1e-4 0e+384 -> -1E-398 Subnormal |
| ddfma2825 fma 3E-394 -1e-5 0e+384 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped |
| ddfma2826 fma -5E-394 1e-5 0e+384 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped |
| ddfma2827 fma 7E-394 -1e-5 0e+384 -> -1E-398 Underflow Subnormal Inexact Rounded |
| ddfma2828 fma -9E-394 1e-5 0e+384 -> -1E-398 Underflow Subnormal Inexact Rounded |
| ddfma2829 fma 9.9E-394 -1e-5 0e+384 -> -1E-398 Underflow Subnormal Inexact Rounded |
| ddfma2830 fma 3.0E-394 -1e-5 0e+384 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped |
| |
| ddfma2831 fma 1.0E-199 1e-200 0e+384 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped |
| ddfma2832 fma 1.0E-199 1e-199 0e+384 -> 1E-398 Subnormal Rounded |
| ddfma2833 fma 1.0E-199 1e-198 0e+384 -> 1.0E-397 Subnormal |
| ddfma2834 fma 2.0E-199 2e-198 0e+384 -> 4.0E-397 Subnormal |
| ddfma2835 fma 4.0E-199 4e-198 0e+384 -> 1.60E-396 Subnormal |
| ddfma2836 fma 10.0E-199 10e-198 0e+384 -> 1.000E-395 Subnormal |
| ddfma2837 fma 30.0E-199 30e-198 0e+384 -> 9.000E-395 Subnormal |
| ddfma2838 fma 40.0E-199 40e-188 0e+384 -> 1.6000E-384 Subnormal |
| ddfma2839 fma 40.0E-199 40e-187 0e+384 -> 1.6000E-383 |
| ddfma2840 fma 40.0E-199 40e-186 0e+384 -> 1.6000E-382 |
| |
| -- Long operand overflow may be a different path |
| ddfma2870 fma 100 9.999E+383 0e+384 -> Infinity Inexact Overflow Rounded |
| ddfma2871 fma 100 -9.999E+383 0e+384 -> -Infinity Inexact Overflow Rounded |
| ddfma2872 fma 9.999E+383 100 0e+384 -> Infinity Inexact Overflow Rounded |
| ddfma2873 fma -9.999E+383 100 0e+384 -> -Infinity Inexact Overflow Rounded |
| |
| -- check for double-rounded subnormals |
| ddfma2881 fma 1.2347E-355 1.2347E-40 0e+384 -> 1.524E-395 Inexact Rounded Subnormal Underflow |
| ddfma2882 fma 1.234E-355 1.234E-40 0e+384 -> 1.523E-395 Inexact Rounded Subnormal Underflow |
| ddfma2883 fma 1.23E-355 1.23E-40 0e+384 -> 1.513E-395 Inexact Rounded Subnormal Underflow |
| ddfma2884 fma 1.2E-355 1.2E-40 0e+384 -> 1.44E-395 Subnormal |
| ddfma2885 fma 1.2E-355 1.2E-41 0e+384 -> 1.44E-396 Subnormal |
| ddfma2886 fma 1.2E-355 1.2E-42 0e+384 -> 1.4E-397 Subnormal Inexact Rounded Underflow |
| ddfma2887 fma 1.2E-355 1.3E-42 0e+384 -> 1.6E-397 Subnormal Inexact Rounded Underflow |
| ddfma2888 fma 1.3E-355 1.3E-42 0e+384 -> 1.7E-397 Subnormal Inexact Rounded Underflow |
| ddfma2889 fma 1.3E-355 1.3E-43 0e+384 -> 2E-398 Subnormal Inexact Rounded Underflow |
| ddfma2890 fma 1.3E-356 1.3E-43 0e+384 -> 0E-398 Clamped Subnormal Inexact Rounded Underflow |
| |
| ddfma2891 fma 1.2345E-39 1.234E-355 0e+384 -> 1.5234E-394 Inexact Rounded Subnormal Underflow |
| ddfma2892 fma 1.23456E-39 1.234E-355 0e+384 -> 1.5234E-394 Inexact Rounded Subnormal Underflow |
| ddfma2893 fma 1.2345E-40 1.234E-355 0e+384 -> 1.523E-395 Inexact Rounded Subnormal Underflow |
| ddfma2894 fma 1.23456E-40 1.234E-355 0e+384 -> 1.523E-395 Inexact Rounded Subnormal Underflow |
| ddfma2895 fma 1.2345E-41 1.234E-355 0e+384 -> 1.52E-396 Inexact Rounded Subnormal Underflow |
| ddfma2896 fma 1.23456E-41 1.234E-355 0e+384 -> 1.52E-396 Inexact Rounded Subnormal Underflow |
| |
| -- Now explore the case where we get a normal result with Underflow |
| ddfma2900 fma 0.3000000000E-191 0.3000000000E-191 0e+384 -> 9.00000000000000E-384 Subnormal Rounded |
| ddfma2901 fma 0.3000000001E-191 0.3000000001E-191 0e+384 -> 9.00000000600000E-384 Underflow Inexact Subnormal Rounded |
| ddfma2902 fma 9.999999999999999E-383 0.0999999999999 0e+384 -> 9.99999999999000E-384 Underflow Inexact Subnormal Rounded |
| ddfma2903 fma 9.999999999999999E-383 0.09999999999999 0e+384 -> 9.99999999999900E-384 Underflow Inexact Subnormal Rounded |
| ddfma2904 fma 9.999999999999999E-383 0.099999999999999 0e+384 -> 9.99999999999990E-384 Underflow Inexact Subnormal Rounded |
| ddfma2905 fma 9.999999999999999E-383 0.0999999999999999 0e+384 -> 9.99999999999999E-384 Underflow Inexact Subnormal Rounded |
| -- prove operands are exact |
| ddfma2906 fma 9.999999999999999E-383 1 0e+384 -> 9.999999999999999E-383 |
| ddfma2907 fma 1 0.09999999999999999 0e+384 -> 0.09999999999999999 |
| -- the next rounds to Nmin |
| ddfma2908 fma 9.999999999999999E-383 0.09999999999999999 0e+384 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded |
| |
| -- hugest |
| ddfma2909 fma 9999999999999999 9999999999999999 0e+384 -> 9.999999999999998E+31 Inexact Rounded |
| |
| -- Null tests |
| ddfma2990 fma 10 # 0e+384 -> NaN Invalid_operation |
| ddfma2991 fma # 10 0e+384 -> NaN Invalid_operation |
| |
| |
| -- ADDITION TESTS ------------------------------------------------------ |
| |
| -- [first group are 'quick confidence check'] |
| ddfma3001 fma 1 1 1 -> 2 |
| ddfma3002 fma 1 2 3 -> 5 |
| ddfma3003 fma 1 '5.75' '3.3' -> 9.05 |
| ddfma3004 fma 1 '5' '-3' -> 2 |
| ddfma3005 fma 1 '-5' '-3' -> -8 |
| ddfma3006 fma 1 '-7' '2.5' -> -4.5 |
| ddfma3007 fma 1 '0.7' '0.3' -> 1.0 |
| ddfma3008 fma 1 '1.25' '1.25' -> 2.50 |
| ddfma3009 fma 1 '1.23456789' '1.00000000' -> '2.23456789' |
| ddfma3010 fma 1 '1.23456789' '1.00000011' -> '2.23456800' |
| |
| -- 1234567890123456 1234567890123456 |
| ddfma3011 fma 1 '0.4444444444444446' '0.5555555555555555' -> '1.000000000000000' Inexact Rounded |
| ddfma3012 fma 1 '0.4444444444444445' '0.5555555555555555' -> '1.000000000000000' Rounded |
| ddfma3013 fma 1 '0.4444444444444444' '0.5555555555555555' -> '0.9999999999999999' |
| ddfma3014 fma 1 '4444444444444444' '0.49' -> '4444444444444444' Inexact Rounded |
| ddfma3015 fma 1 '4444444444444444' '0.499' -> '4444444444444444' Inexact Rounded |
| ddfma3016 fma 1 '4444444444444444' '0.4999' -> '4444444444444444' Inexact Rounded |
| ddfma3017 fma 1 '4444444444444444' '0.5000' -> '4444444444444444' Inexact Rounded |
| ddfma3018 fma 1 '4444444444444444' '0.5001' -> '4444444444444445' Inexact Rounded |
| ddfma3019 fma 1 '4444444444444444' '0.501' -> '4444444444444445' Inexact Rounded |
| ddfma3020 fma 1 '4444444444444444' '0.51' -> '4444444444444445' Inexact Rounded |
| |
| ddfma3021 fma 1 0 1 -> 1 |
| ddfma3022 fma 1 1 1 -> 2 |
| ddfma3023 fma 1 2 1 -> 3 |
| ddfma3024 fma 1 3 1 -> 4 |
| ddfma3025 fma 1 4 1 -> 5 |
| ddfma3026 fma 1 5 1 -> 6 |
| ddfma3027 fma 1 6 1 -> 7 |
| ddfma3028 fma 1 7 1 -> 8 |
| ddfma3029 fma 1 8 1 -> 9 |
| ddfma3030 fma 1 9 1 -> 10 |
| |
| -- some carrying effects |
| ddfma3031 fma 1 '0.9998' '0.0000' -> '0.9998' |
| ddfma3032 fma 1 '0.9998' '0.0001' -> '0.9999' |
| ddfma3033 fma 1 '0.9998' '0.0002' -> '1.0000' |
| ddfma3034 fma 1 '0.9998' '0.0003' -> '1.0001' |
| |
| ddfma3035 fma 1 '70' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded |
| ddfma3036 fma 1 '700' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded |
| ddfma3037 fma 1 '7000' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded |
| ddfma3038 fma 1 '70000' '10000e+16' -> '1.000000000000001E+20' Inexact Rounded |
| ddfma3039 fma 1 '700000' '10000e+16' -> '1.000000000000007E+20' Rounded |
| |
| -- symmetry: |
| ddfma3040 fma 1 '10000e+16' '70' -> '1.000000000000000E+20' Inexact Rounded |
| ddfma3041 fma 1 '10000e+16' '700' -> '1.000000000000000E+20' Inexact Rounded |
| ddfma3042 fma 1 '10000e+16' '7000' -> '1.000000000000000E+20' Inexact Rounded |
| ddfma3044 fma 1 '10000e+16' '70000' -> '1.000000000000001E+20' Inexact Rounded |
| ddfma3045 fma 1 '10000e+16' '700000' -> '1.000000000000007E+20' Rounded |
| |
| -- same, without rounding |
| ddfma3046 fma 1 '10000e+9' '7' -> '10000000000007' |
| ddfma3047 fma 1 '10000e+9' '70' -> '10000000000070' |
| ddfma3048 fma 1 '10000e+9' '700' -> '10000000000700' |
| ddfma3049 fma 1 '10000e+9' '7000' -> '10000000007000' |
| ddfma3050 fma 1 '10000e+9' '70000' -> '10000000070000' |
| ddfma3051 fma 1 '10000e+9' '700000' -> '10000000700000' |
| ddfma3052 fma 1 '10000e+9' '7000000' -> '10000007000000' |
| |
| -- examples from decarith |
| ddfma3053 fma 1 '12' '7.00' -> '19.00' |
| ddfma3054 fma 1 '1.3' '-1.07' -> '0.23' |
| ddfma3055 fma 1 '1.3' '-1.30' -> '0.00' |
| ddfma3056 fma 1 '1.3' '-2.07' -> '-0.77' |
| ddfma3057 fma 1 '1E+2' '1E+4' -> '1.01E+4' |
| |
| -- leading zero preservation |
| ddfma3061 fma 1 1 '0.0001' -> '1.0001' |
| ddfma3062 fma 1 1 '0.00001' -> '1.00001' |
| ddfma3063 fma 1 1 '0.000001' -> '1.000001' |
| ddfma3064 fma 1 1 '0.0000001' -> '1.0000001' |
| ddfma3065 fma 1 1 '0.00000001' -> '1.00000001' |
| |
| -- some funny zeros [in case of bad signum] |
| ddfma3070 fma 1 1 0 -> 1 |
| ddfma3071 fma 1 1 0. -> 1 |
| ddfma3072 fma 1 1 .0 -> 1.0 |
| ddfma3073 fma 1 1 0.0 -> 1.0 |
| ddfma3074 fma 1 1 0.00 -> 1.00 |
| ddfma3075 fma 1 0 1 -> 1 |
| ddfma3076 fma 1 0. 1 -> 1 |
| ddfma3077 fma 1 .0 1 -> 1.0 |
| ddfma3078 fma 1 0.0 1 -> 1.0 |
| ddfma3079 fma 1 0.00 1 -> 1.00 |
| |
| -- some carries |
| ddfma3080 fma 1 999999998 1 -> 999999999 |
| ddfma3081 fma 1 999999999 1 -> 1000000000 |
| ddfma3082 fma 1 99999999 1 -> 100000000 |
| ddfma3083 fma 1 9999999 1 -> 10000000 |
| ddfma3084 fma 1 999999 1 -> 1000000 |
| ddfma3085 fma 1 99999 1 -> 100000 |
| ddfma3086 fma 1 9999 1 -> 10000 |
| ddfma3087 fma 1 999 1 -> 1000 |
| ddfma3088 fma 1 99 1 -> 100 |
| ddfma3089 fma 1 9 1 -> 10 |
| |
| |
| -- more LHS swaps |
| ddfma3090 fma 1 '-56267E-10' 0 -> '-0.0000056267' |
| ddfma3091 fma 1 '-56267E-6' 0 -> '-0.056267' |
| ddfma3092 fma 1 '-56267E-5' 0 -> '-0.56267' |
| ddfma3093 fma 1 '-56267E-4' 0 -> '-5.6267' |
| ddfma3094 fma 1 '-56267E-3' 0 -> '-56.267' |
| ddfma3095 fma 1 '-56267E-2' 0 -> '-562.67' |
| ddfma3096 fma 1 '-56267E-1' 0 -> '-5626.7' |
| ddfma3097 fma 1 '-56267E-0' 0 -> '-56267' |
| ddfma3098 fma 1 '-5E-10' 0 -> '-5E-10' |
| ddfma3099 fma 1 '-5E-7' 0 -> '-5E-7' |
| ddfma3100 fma 1 '-5E-6' 0 -> '-0.000005' |
| ddfma3101 fma 1 '-5E-5' 0 -> '-0.00005' |
| ddfma3102 fma 1 '-5E-4' 0 -> '-0.0005' |
| ddfma3103 fma 1 '-5E-1' 0 -> '-0.5' |
| ddfma3104 fma 1 '-5E0' 0 -> '-5' |
| ddfma3105 fma 1 '-5E1' 0 -> '-50' |
| ddfma3106 fma 1 '-5E5' 0 -> '-500000' |
| ddfma3107 fma 1 '-5E15' 0 -> '-5000000000000000' |
| ddfma3108 fma 1 '-5E16' 0 -> '-5.000000000000000E+16' Rounded |
| ddfma3109 fma 1 '-5E17' 0 -> '-5.000000000000000E+17' Rounded |
| ddfma3110 fma 1 '-5E18' 0 -> '-5.000000000000000E+18' Rounded |
| ddfma3111 fma 1 '-5E100' 0 -> '-5.000000000000000E+100' Rounded |
| |
| -- more RHS swaps |
| ddfma3113 fma 1 0 '-56267E-10' -> '-0.0000056267' |
| ddfma3114 fma 1 0 '-56267E-6' -> '-0.056267' |
| ddfma3116 fma 1 0 '-56267E-5' -> '-0.56267' |
| ddfma3117 fma 1 0 '-56267E-4' -> '-5.6267' |
| ddfma3119 fma 1 0 '-56267E-3' -> '-56.267' |
| ddfma3120 fma 1 0 '-56267E-2' -> '-562.67' |
| ddfma3121 fma 1 0 '-56267E-1' -> '-5626.7' |
| ddfma3122 fma 1 0 '-56267E-0' -> '-56267' |
| ddfma3123 fma 1 0 '-5E-10' -> '-5E-10' |
| ddfma3124 fma 1 0 '-5E-7' -> '-5E-7' |
| ddfma3125 fma 1 0 '-5E-6' -> '-0.000005' |
| ddfma3126 fma 1 0 '-5E-5' -> '-0.00005' |
| ddfma3127 fma 1 0 '-5E-4' -> '-0.0005' |
| ddfma3128 fma 1 0 '-5E-1' -> '-0.5' |
| ddfma3129 fma 1 0 '-5E0' -> '-5' |
| ddfma3130 fma 1 0 '-5E1' -> '-50' |
| ddfma3131 fma 1 0 '-5E5' -> '-500000' |
| ddfma3132 fma 1 0 '-5E15' -> '-5000000000000000' |
| ddfma3133 fma 1 0 '-5E16' -> '-5.000000000000000E+16' Rounded |
| ddfma3134 fma 1 0 '-5E17' -> '-5.000000000000000E+17' Rounded |
| ddfma3135 fma 1 0 '-5E18' -> '-5.000000000000000E+18' Rounded |
| ddfma3136 fma 1 0 '-5E100' -> '-5.000000000000000E+100' Rounded |
| |
| -- related |
| ddfma3137 fma 1 1 '0E-19' -> '1.000000000000000' Rounded |
| ddfma3138 fma 1 -1 '0E-19' -> '-1.000000000000000' Rounded |
| ddfma3139 fma 1 '0E-19' 1 -> '1.000000000000000' Rounded |
| ddfma3140 fma 1 '0E-19' -1 -> '-1.000000000000000' Rounded |
| ddfma3141 fma 1 1E+11 0.0000 -> '100000000000.0000' |
| ddfma3142 fma 1 1E+11 0.00000 -> '100000000000.0000' Rounded |
| ddfma3143 fma 1 0.000 1E+12 -> '1000000000000.000' |
| ddfma3144 fma 1 0.0000 1E+12 -> '1000000000000.000' Rounded |
| |
| -- [some of the next group are really constructor tests] |
| ddfma3146 fma 1 '00.0' 0 -> '0.0' |
| ddfma3147 fma 1 '0.00' 0 -> '0.00' |
| ddfma3148 fma 1 0 '0.00' -> '0.00' |
| ddfma3149 fma 1 0 '00.0' -> '0.0' |
| ddfma3150 fma 1 '00.0' '0.00' -> '0.00' |
| ddfma3151 fma 1 '0.00' '00.0' -> '0.00' |
| ddfma3152 fma 1 '3' '.3' -> '3.3' |
| ddfma3153 fma 1 '3.' '.3' -> '3.3' |
| ddfma3154 fma 1 '3.0' '.3' -> '3.3' |
| ddfma3155 fma 1 '3.00' '.3' -> '3.30' |
| ddfma3156 fma 1 '3' '3' -> '6' |
| ddfma3157 fma 1 '3' '+3' -> '6' |
| ddfma3158 fma 1 '3' '-3' -> '0' |
| ddfma3159 fma 1 '0.3' '-0.3' -> '0.0' |
| ddfma3160 fma 1 '0.03' '-0.03' -> '0.00' |
| |
| -- try borderline precision, with carries, etc. |
| ddfma3161 fma 1 '1E+12' '-1' -> '999999999999' |
| ddfma3162 fma 1 '1E+12' '1.11' -> '1000000000001.11' |
| ddfma3163 fma 1 '1.11' '1E+12' -> '1000000000001.11' |
| ddfma3164 fma 1 '-1' '1E+12' -> '999999999999' |
| ddfma3165 fma 1 '7E+12' '-1' -> '6999999999999' |
| ddfma3166 fma 1 '7E+12' '1.11' -> '7000000000001.11' |
| ddfma3167 fma 1 '1.11' '7E+12' -> '7000000000001.11' |
| ddfma3168 fma 1 '-1' '7E+12' -> '6999999999999' |
| |
| rounding: half_up |
| -- 1.234567890123456 1234567890123456 1 234567890123456 |
| ddfma3170 fma 1 '4.444444444444444' '0.5555555555555567' -> '5.000000000000001' Inexact Rounded |
| ddfma3171 fma 1 '4.444444444444444' '0.5555555555555566' -> '5.000000000000001' Inexact Rounded |
| ddfma3172 fma 1 '4.444444444444444' '0.5555555555555565' -> '5.000000000000001' Inexact Rounded |
| ddfma3173 fma 1 '4.444444444444444' '0.5555555555555564' -> '5.000000000000000' Inexact Rounded |
| ddfma3174 fma 1 '4.444444444444444' '0.5555555555555553' -> '4.999999999999999' Inexact Rounded |
| ddfma3175 fma 1 '4.444444444444444' '0.5555555555555552' -> '4.999999999999999' Inexact Rounded |
| ddfma3176 fma 1 '4.444444444444444' '0.5555555555555551' -> '4.999999999999999' Inexact Rounded |
| ddfma3177 fma 1 '4.444444444444444' '0.5555555555555550' -> '4.999999999999999' Rounded |
| ddfma3178 fma 1 '4.444444444444444' '0.5555555555555545' -> '4.999999999999999' Inexact Rounded |
| ddfma3179 fma 1 '4.444444444444444' '0.5555555555555544' -> '4.999999999999998' Inexact Rounded |
| ddfma3180 fma 1 '4.444444444444444' '0.5555555555555543' -> '4.999999999999998' Inexact Rounded |
| ddfma3181 fma 1 '4.444444444444444' '0.5555555555555542' -> '4.999999999999998' Inexact Rounded |
| ddfma3182 fma 1 '4.444444444444444' '0.5555555555555541' -> '4.999999999999998' Inexact Rounded |
| ddfma3183 fma 1 '4.444444444444444' '0.5555555555555540' -> '4.999999999999998' Rounded |
| |
| -- and some more, including residue effects and different roundings |
| rounding: half_up |
| ddfma3200 fma 1 '1234560123456789' 0 -> '1234560123456789' |
| ddfma3201 fma 1 '1234560123456789' 0.000000001 -> '1234560123456789' Inexact Rounded |
| ddfma3202 fma 1 '1234560123456789' 0.000001 -> '1234560123456789' Inexact Rounded |
| ddfma3203 fma 1 '1234560123456789' 0.1 -> '1234560123456789' Inexact Rounded |
| ddfma3204 fma 1 '1234560123456789' 0.4 -> '1234560123456789' Inexact Rounded |
| ddfma3205 fma 1 '1234560123456789' 0.49 -> '1234560123456789' Inexact Rounded |
| ddfma3206 fma 1 '1234560123456789' 0.499999 -> '1234560123456789' Inexact Rounded |
| ddfma3207 fma 1 '1234560123456789' 0.499999999 -> '1234560123456789' Inexact Rounded |
| ddfma3208 fma 1 '1234560123456789' 0.5 -> '1234560123456790' Inexact Rounded |
| ddfma3209 fma 1 '1234560123456789' 0.500000001 -> '1234560123456790' Inexact Rounded |
| ddfma3210 fma 1 '1234560123456789' 0.500001 -> '1234560123456790' Inexact Rounded |
| ddfma3211 fma 1 '1234560123456789' 0.51 -> '1234560123456790' Inexact Rounded |
| ddfma3212 fma 1 '1234560123456789' 0.6 -> '1234560123456790' Inexact Rounded |
| ddfma3213 fma 1 '1234560123456789' 0.9 -> '1234560123456790' Inexact Rounded |
| ddfma3214 fma 1 '1234560123456789' 0.99999 -> '1234560123456790' Inexact Rounded |
| ddfma3215 fma 1 '1234560123456789' 0.999999999 -> '1234560123456790' Inexact Rounded |
| ddfma3216 fma 1 '1234560123456789' 1 -> '1234560123456790' |
| ddfma3217 fma 1 '1234560123456789' 1.000000001 -> '1234560123456790' Inexact Rounded |
| ddfma3218 fma 1 '1234560123456789' 1.00001 -> '1234560123456790' Inexact Rounded |
| ddfma3219 fma 1 '1234560123456789' 1.1 -> '1234560123456790' Inexact Rounded |
| |
| rounding: half_even |
| ddfma3220 fma 1 '1234560123456789' 0 -> '1234560123456789' |
| ddfma3221 fma 1 '1234560123456789' 0.000000001 -> '1234560123456789' Inexact Rounded |
| ddfma3222 fma 1 '1234560123456789' 0.000001 -> '1234560123456789' Inexact Rounded |
| ddfma3223 fma 1 '1234560123456789' 0.1 -> '1234560123456789' Inexact Rounded |
| ddfma3224 fma 1 '1234560123456789' 0.4 -> '1234560123456789' Inexact Rounded |
| ddfma3225 fma 1 '1234560123456789' 0.49 -> '1234560123456789' Inexact Rounded |
| ddfma3226 fma 1 '1234560123456789' 0.499999 -> '1234560123456789' Inexact Rounded |
| ddfma3227 fma 1 '1234560123456789' 0.499999999 -> '1234560123456789' Inexact Rounded |
| ddfma3228 fma 1 '1234560123456789' 0.5 -> '1234560123456790' Inexact Rounded |
| ddfma3229 fma 1 '1234560123456789' 0.500000001 -> '1234560123456790' Inexact Rounded |
| ddfma3230 fma 1 '1234560123456789' 0.500001 -> '1234560123456790' Inexact Rounded |
| ddfma3231 fma 1 '1234560123456789' 0.51 -> '1234560123456790' Inexact Rounded |
| ddfma3232 fma 1 '1234560123456789' 0.6 -> '1234560123456790' Inexact Rounded |
| ddfma3233 fma 1 '1234560123456789' 0.9 -> '1234560123456790' Inexact Rounded |
| ddfma3234 fma 1 '1234560123456789' 0.99999 -> '1234560123456790' Inexact Rounded |
| ddfma3235 fma 1 '1234560123456789' 0.999999999 -> '1234560123456790' Inexact Rounded |
| ddfma3236 fma 1 '1234560123456789' 1 -> '1234560123456790' |
| ddfma3237 fma 1 '1234560123456789' 1.00000001 -> '1234560123456790' Inexact Rounded |
| ddfma3238 fma 1 '1234560123456789' 1.00001 -> '1234560123456790' Inexact Rounded |
| ddfma3239 fma 1 '1234560123456789' 1.1 -> '1234560123456790' Inexact Rounded |
| -- critical few with even bottom digit... |
| ddfma3240 fma 1 '1234560123456788' 0.499999999 -> '1234560123456788' Inexact Rounded |
| ddfma3241 fma 1 '1234560123456788' 0.5 -> '1234560123456788' Inexact Rounded |
| ddfma3242 fma 1 '1234560123456788' 0.500000001 -> '1234560123456789' Inexact Rounded |
| |
| rounding: down |
| ddfma3250 fma 1 '1234560123456789' 0 -> '1234560123456789' |
| ddfma3251 fma 1 '1234560123456789' 0.000000001 -> '1234560123456789' Inexact Rounded |
| ddfma3252 fma 1 '1234560123456789' 0.000001 -> '1234560123456789' Inexact Rounded |
| ddfma3253 fma 1 '1234560123456789' 0.1 -> '1234560123456789' Inexact Rounded |
| ddfma3254 fma 1 '1234560123456789' 0.4 -> '1234560123456789' Inexact Rounded |
| ddfma3255 fma 1 '1234560123456789' 0.49 -> '1234560123456789' Inexact Rounded |
| ddfma3256 fma 1 '1234560123456789' 0.499999 -> '1234560123456789' Inexact Rounded |
| ddfma3257 fma 1 '1234560123456789' 0.499999999 -> '1234560123456789' Inexact Rounded |
| ddfma3258 fma 1 '1234560123456789' 0.5 -> '1234560123456789' Inexact Rounded |
| ddfma3259 fma 1 '1234560123456789' 0.500000001 -> '1234560123456789' Inexact Rounded |
| ddfma3260 fma 1 '1234560123456789' 0.500001 -> '1234560123456789' Inexact Rounded |
| ddfma3261 fma 1 '1234560123456789' 0.51 -> '1234560123456789' Inexact Rounded |
| ddfma3262 fma 1 '1234560123456789' 0.6 -> '1234560123456789' Inexact Rounded |
| ddfma3263 fma 1 '1234560123456789' 0.9 -> '1234560123456789' Inexact Rounded |
| ddfma3264 fma 1 '1234560123456789' 0.99999 -> '1234560123456789' Inexact Rounded |
| ddfma3265 fma 1 '1234560123456789' 0.999999999 -> '1234560123456789' Inexact Rounded |
| ddfma3266 fma 1 '1234560123456789' 1 -> '1234560123456790' |
| ddfma3267 fma 1 '1234560123456789' 1.00000001 -> '1234560123456790' Inexact Rounded |
| ddfma3268 fma 1 '1234560123456789' 1.00001 -> '1234560123456790' Inexact Rounded |
| ddfma3269 fma 1 '1234560123456789' 1.1 -> '1234560123456790' Inexact Rounded |
| |
| -- 1 in last place tests |
| rounding: half_up |
| ddfma3301 fma 1 -1 1 -> 0 |
| ddfma3302 fma 1 0 1 -> 1 |
| ddfma3303 fma 1 1 1 -> 2 |
| ddfma3304 fma 1 12 1 -> 13 |
| ddfma3305 fma 1 98 1 -> 99 |
| ddfma3306 fma 1 99 1 -> 100 |
| ddfma3307 fma 1 100 1 -> 101 |
| ddfma3308 fma 1 101 1 -> 102 |
| ddfma3309 fma 1 -1 -1 -> -2 |
| ddfma3310 fma 1 0 -1 -> -1 |
| ddfma3311 fma 1 1 -1 -> 0 |
| ddfma3312 fma 1 12 -1 -> 11 |
| ddfma3313 fma 1 98 -1 -> 97 |
| ddfma3314 fma 1 99 -1 -> 98 |
| ddfma3315 fma 1 100 -1 -> 99 |
| ddfma3316 fma 1 101 -1 -> 100 |
| |
| ddfma3321 fma 1 -0.01 0.01 -> 0.00 |
| ddfma3322 fma 1 0.00 0.01 -> 0.01 |
| ddfma3323 fma 1 0.01 0.01 -> 0.02 |
| ddfma3324 fma 1 0.12 0.01 -> 0.13 |
| ddfma3325 fma 1 0.98 0.01 -> 0.99 |
| ddfma3326 fma 1 0.99 0.01 -> 1.00 |
| ddfma3327 fma 1 1.00 0.01 -> 1.01 |
| ddfma3328 fma 1 1.01 0.01 -> 1.02 |
| ddfma3329 fma 1 -0.01 -0.01 -> -0.02 |
| ddfma3330 fma 1 0.00 -0.01 -> -0.01 |
| ddfma3331 fma 1 0.01 -0.01 -> 0.00 |
| ddfma3332 fma 1 0.12 -0.01 -> 0.11 |
| ddfma3333 fma 1 0.98 -0.01 -> 0.97 |
| ddfma3334 fma 1 0.99 -0.01 -> 0.98 |
| ddfma3335 fma 1 1.00 -0.01 -> 0.99 |
| ddfma3336 fma 1 1.01 -0.01 -> 1.00 |
| |
| -- some more cases where adding 0 affects the coefficient |
| ddfma3340 fma 1 1E+3 0 -> 1000 |
| ddfma3341 fma 1 1E+15 0 -> 1000000000000000 |
| ddfma3342 fma 1 1E+16 0 -> 1.000000000000000E+16 Rounded |
| ddfma3343 fma 1 1E+20 0 -> 1.000000000000000E+20 Rounded |
| -- which simply follow from these cases ... |
| ddfma3344 fma 1 1E+3 1 -> 1001 |
| ddfma3345 fma 1 1E+15 1 -> 1000000000000001 |
| ddfma3346 fma 1 1E+16 1 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma3347 fma 1 1E+20 1 -> 1.000000000000000E+20 Inexact Rounded |
| ddfma3348 fma 1 1E+3 7 -> 1007 |
| ddfma3349 fma 1 1E+15 7 -> 1000000000000007 |
| ddfma3350 fma 1 1E+16 7 -> 1.000000000000001E+16 Inexact Rounded |
| ddfma3351 fma 1 1E+20 7 -> 1.000000000000000E+20 Inexact Rounded |
| |
| -- tryzeros cases |
| rounding: half_up |
| ddfma3360 fma 1 0E+50 10000E+1 -> 1.0000E+5 |
| ddfma3361 fma 1 0E-50 10000E+1 -> 100000.0000000000 Rounded |
| ddfma3362 fma 1 10000E+1 0E-50 -> 100000.0000000000 Rounded |
| ddfma3363 fma 1 10000E+1 10000E-50 -> 100000.0000000000 Rounded Inexact |
| ddfma3364 fma 1 9.999999999999999E+384 -9.999999999999999E+384 -> 0E+369 |
| |
| -- a curiosity from JSR 13 testing |
| rounding: half_down |
| ddfma3370 fma 1 999999999999999 815 -> 1000000000000814 |
| ddfma3371 fma 1 9999999999999999 815 -> 1.000000000000081E+16 Rounded Inexact |
| rounding: half_up |
| ddfma3372 fma 1 999999999999999 815 -> 1000000000000814 |
| ddfma3373 fma 1 9999999999999999 815 -> 1.000000000000081E+16 Rounded Inexact |
| rounding: half_even |
| ddfma3374 fma 1 999999999999999 815 -> 1000000000000814 |
| ddfma3375 fma 1 9999999999999999 815 -> 1.000000000000081E+16 Rounded Inexact |
| |
| -- ulp replacement tests |
| ddfma3400 fma 1 1 77e-14 -> 1.00000000000077 |
| ddfma3401 fma 1 1 77e-15 -> 1.000000000000077 |
| ddfma3402 fma 1 1 77e-16 -> 1.000000000000008 Inexact Rounded |
| ddfma3403 fma 1 1 77e-17 -> 1.000000000000001 Inexact Rounded |
| ddfma3404 fma 1 1 77e-18 -> 1.000000000000000 Inexact Rounded |
| ddfma3405 fma 1 1 77e-19 -> 1.000000000000000 Inexact Rounded |
| ddfma3406 fma 1 1 77e-299 -> 1.000000000000000 Inexact Rounded |
| |
| ddfma3410 fma 1 10 77e-14 -> 10.00000000000077 |
| ddfma3411 fma 1 10 77e-15 -> 10.00000000000008 Inexact Rounded |
| ddfma3412 fma 1 10 77e-16 -> 10.00000000000001 Inexact Rounded |
| ddfma3413 fma 1 10 77e-17 -> 10.00000000000000 Inexact Rounded |
| ddfma3414 fma 1 10 77e-18 -> 10.00000000000000 Inexact Rounded |
| ddfma3415 fma 1 10 77e-19 -> 10.00000000000000 Inexact Rounded |
| ddfma3416 fma 1 10 77e-299 -> 10.00000000000000 Inexact Rounded |
| |
| ddfma3420 fma 1 77e-14 1 -> 1.00000000000077 |
| ddfma3421 fma 1 77e-15 1 -> 1.000000000000077 |
| ddfma3422 fma 1 77e-16 1 -> 1.000000000000008 Inexact Rounded |
| ddfma3423 fma 1 77e-17 1 -> 1.000000000000001 Inexact Rounded |
| ddfma3424 fma 1 77e-18 1 -> 1.000000000000000 Inexact Rounded |
| ddfma3425 fma 1 77e-19 1 -> 1.000000000000000 Inexact Rounded |
| ddfma3426 fma 1 77e-299 1 -> 1.000000000000000 Inexact Rounded |
| |
| ddfma3430 fma 1 77e-14 10 -> 10.00000000000077 |
| ddfma3431 fma 1 77e-15 10 -> 10.00000000000008 Inexact Rounded |
| ddfma3432 fma 1 77e-16 10 -> 10.00000000000001 Inexact Rounded |
| ddfma3433 fma 1 77e-17 10 -> 10.00000000000000 Inexact Rounded |
| ddfma3434 fma 1 77e-18 10 -> 10.00000000000000 Inexact Rounded |
| ddfma3435 fma 1 77e-19 10 -> 10.00000000000000 Inexact Rounded |
| ddfma3436 fma 1 77e-299 10 -> 10.00000000000000 Inexact Rounded |
| |
| -- negative ulps |
| ddfma36440 fma 1 1 -77e-14 -> 0.99999999999923 |
| ddfma36441 fma 1 1 -77e-15 -> 0.999999999999923 |
| ddfma36442 fma 1 1 -77e-16 -> 0.9999999999999923 |
| ddfma36443 fma 1 1 -77e-17 -> 0.9999999999999992 Inexact Rounded |
| ddfma36444 fma 1 1 -77e-18 -> 0.9999999999999999 Inexact Rounded |
| ddfma36445 fma 1 1 -77e-19 -> 1.000000000000000 Inexact Rounded |
| ddfma36446 fma 1 1 -77e-99 -> 1.000000000000000 Inexact Rounded |
| |
| ddfma36450 fma 1 10 -77e-14 -> 9.99999999999923 |
| ddfma36451 fma 1 10 -77e-15 -> 9.999999999999923 |
| ddfma36452 fma 1 10 -77e-16 -> 9.999999999999992 Inexact Rounded |
| ddfma36453 fma 1 10 -77e-17 -> 9.999999999999999 Inexact Rounded |
| ddfma36454 fma 1 10 -77e-18 -> 10.00000000000000 Inexact Rounded |
| ddfma36455 fma 1 10 -77e-19 -> 10.00000000000000 Inexact Rounded |
| ddfma36456 fma 1 10 -77e-99 -> 10.00000000000000 Inexact Rounded |
| |
| ddfma36460 fma 1 -77e-14 1 -> 0.99999999999923 |
| ddfma36461 fma 1 -77e-15 1 -> 0.999999999999923 |
| ddfma36462 fma 1 -77e-16 1 -> 0.9999999999999923 |
| ddfma36463 fma 1 -77e-17 1 -> 0.9999999999999992 Inexact Rounded |
| ddfma36464 fma 1 -77e-18 1 -> 0.9999999999999999 Inexact Rounded |
| ddfma36465 fma 1 -77e-19 1 -> 1.000000000000000 Inexact Rounded |
| ddfma36466 fma 1 -77e-99 1 -> 1.000000000000000 Inexact Rounded |
| |
| ddfma36470 fma 1 -77e-14 10 -> 9.99999999999923 |
| ddfma36471 fma 1 -77e-15 10 -> 9.999999999999923 |
| ddfma36472 fma 1 -77e-16 10 -> 9.999999999999992 Inexact Rounded |
| ddfma36473 fma 1 -77e-17 10 -> 9.999999999999999 Inexact Rounded |
| ddfma36474 fma 1 -77e-18 10 -> 10.00000000000000 Inexact Rounded |
| ddfma36475 fma 1 -77e-19 10 -> 10.00000000000000 Inexact Rounded |
| ddfma36476 fma 1 -77e-99 10 -> 10.00000000000000 Inexact Rounded |
| |
| -- negative ulps |
| ddfma36480 fma 1 -1 77e-14 -> -0.99999999999923 |
| ddfma36481 fma 1 -1 77e-15 -> -0.999999999999923 |
| ddfma36482 fma 1 -1 77e-16 -> -0.9999999999999923 |
| ddfma36483 fma 1 -1 77e-17 -> -0.9999999999999992 Inexact Rounded |
| ddfma36484 fma 1 -1 77e-18 -> -0.9999999999999999 Inexact Rounded |
| ddfma36485 fma 1 -1 77e-19 -> -1.000000000000000 Inexact Rounded |
| ddfma36486 fma 1 -1 77e-99 -> -1.000000000000000 Inexact Rounded |
| |
| ddfma36490 fma 1 -10 77e-14 -> -9.99999999999923 |
| ddfma36491 fma 1 -10 77e-15 -> -9.999999999999923 |
| ddfma36492 fma 1 -10 77e-16 -> -9.999999999999992 Inexact Rounded |
| ddfma36493 fma 1 -10 77e-17 -> -9.999999999999999 Inexact Rounded |
| ddfma36494 fma 1 -10 77e-18 -> -10.00000000000000 Inexact Rounded |
| ddfma36495 fma 1 -10 77e-19 -> -10.00000000000000 Inexact Rounded |
| ddfma36496 fma 1 -10 77e-99 -> -10.00000000000000 Inexact Rounded |
| |
| ddfma36500 fma 1 77e-14 -1 -> -0.99999999999923 |
| ddfma36501 fma 1 77e-15 -1 -> -0.999999999999923 |
| ddfma36502 fma 1 77e-16 -1 -> -0.9999999999999923 |
| ddfma36503 fma 1 77e-17 -1 -> -0.9999999999999992 Inexact Rounded |
| ddfma36504 fma 1 77e-18 -1 -> -0.9999999999999999 Inexact Rounded |
| ddfma36505 fma 1 77e-19 -1 -> -1.000000000000000 Inexact Rounded |
| ddfma36506 fma 1 77e-99 -1 -> -1.000000000000000 Inexact Rounded |
| |
| ddfma36510 fma 1 77e-14 -10 -> -9.99999999999923 |
| ddfma36511 fma 1 77e-15 -10 -> -9.999999999999923 |
| ddfma36512 fma 1 77e-16 -10 -> -9.999999999999992 Inexact Rounded |
| ddfma36513 fma 1 77e-17 -10 -> -9.999999999999999 Inexact Rounded |
| ddfma36514 fma 1 77e-18 -10 -> -10.00000000000000 Inexact Rounded |
| ddfma36515 fma 1 77e-19 -10 -> -10.00000000000000 Inexact Rounded |
| ddfma36516 fma 1 77e-99 -10 -> -10.00000000000000 Inexact Rounded |
| |
| -- and a couple more with longer RHS |
| ddfma36520 fma 1 1 -7777e-16 -> 0.9999999999992223 |
| ddfma36521 fma 1 1 -7777e-17 -> 0.9999999999999222 Inexact Rounded |
| ddfma36522 fma 1 1 -7777e-18 -> 0.9999999999999922 Inexact Rounded |
| ddfma36523 fma 1 1 -7777e-19 -> 0.9999999999999992 Inexact Rounded |
| ddfma36524 fma 1 1 -7777e-20 -> 0.9999999999999999 Inexact Rounded |
| ddfma36525 fma 1 1 -7777e-21 -> 1.000000000000000 Inexact Rounded |
| ddfma36526 fma 1 1 -7777e-22 -> 1.000000000000000 Inexact Rounded |
| |
| |
| -- and some more residue effects and different roundings |
| rounding: half_up |
| ddfma36540 fma 1 '6543210123456789' 0 -> '6543210123456789' |
| ddfma36541 fma 1 '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded |
| ddfma36542 fma 1 '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded |
| ddfma36543 fma 1 '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded |
| ddfma36544 fma 1 '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded |
| ddfma36545 fma 1 '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded |
| ddfma36546 fma 1 '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded |
| ddfma36547 fma 1 '6543210123456789' 0.499999999 -> '6543210123456789' Inexact Rounded |
| ddfma36548 fma 1 '6543210123456789' 0.5 -> '6543210123456790' Inexact Rounded |
| ddfma36549 fma 1 '6543210123456789' 0.500000001 -> '6543210123456790' Inexact Rounded |
| ddfma36550 fma 1 '6543210123456789' 0.500001 -> '6543210123456790' Inexact Rounded |
| ddfma36551 fma 1 '6543210123456789' 0.51 -> '6543210123456790' Inexact Rounded |
| ddfma36552 fma 1 '6543210123456789' 0.6 -> '6543210123456790' Inexact Rounded |
| ddfma36553 fma 1 '6543210123456789' 0.9 -> '6543210123456790' Inexact Rounded |
| ddfma36554 fma 1 '6543210123456789' 0.99999 -> '6543210123456790' Inexact Rounded |
| ddfma36555 fma 1 '6543210123456789' 0.999999999 -> '6543210123456790' Inexact Rounded |
| ddfma36556 fma 1 '6543210123456789' 1 -> '6543210123456790' |
| ddfma36557 fma 1 '6543210123456789' 1.000000001 -> '6543210123456790' Inexact Rounded |
| ddfma36558 fma 1 '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded |
| ddfma36559 fma 1 '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded |
| |
| rounding: half_even |
| ddfma36560 fma 1 '6543210123456789' 0 -> '6543210123456789' |
| ddfma36561 fma 1 '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded |
| ddfma36562 fma 1 '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded |
| ddfma36563 fma 1 '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded |
| ddfma36564 fma 1 '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded |
| ddfma36565 fma 1 '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded |
| ddfma36566 fma 1 '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded |
| ddfma36567 fma 1 '6543210123456789' 0.499999999 -> '6543210123456789' Inexact Rounded |
| ddfma36568 fma 1 '6543210123456789' 0.5 -> '6543210123456790' Inexact Rounded |
| ddfma36569 fma 1 '6543210123456789' 0.500000001 -> '6543210123456790' Inexact Rounded |
| ddfma36570 fma 1 '6543210123456789' 0.500001 -> '6543210123456790' Inexact Rounded |
| ddfma36571 fma 1 '6543210123456789' 0.51 -> '6543210123456790' Inexact Rounded |
| ddfma36572 fma 1 '6543210123456789' 0.6 -> '6543210123456790' Inexact Rounded |
| ddfma36573 fma 1 '6543210123456789' 0.9 -> '6543210123456790' Inexact Rounded |
| ddfma36574 fma 1 '6543210123456789' 0.99999 -> '6543210123456790' Inexact Rounded |
| ddfma36575 fma 1 '6543210123456789' 0.999999999 -> '6543210123456790' Inexact Rounded |
| ddfma36576 fma 1 '6543210123456789' 1 -> '6543210123456790' |
| ddfma36577 fma 1 '6543210123456789' 1.00000001 -> '6543210123456790' Inexact Rounded |
| ddfma36578 fma 1 '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded |
| ddfma36579 fma 1 '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded |
| |
| -- critical few with even bottom digit... |
| ddfma37540 fma 1 '6543210123456788' 0.499999999 -> '6543210123456788' Inexact Rounded |
| ddfma37541 fma 1 '6543210123456788' 0.5 -> '6543210123456788' Inexact Rounded |
| ddfma37542 fma 1 '6543210123456788' 0.500000001 -> '6543210123456789' Inexact Rounded |
| |
| rounding: down |
| ddfma37550 fma 1 '6543210123456789' 0 -> '6543210123456789' |
| ddfma37551 fma 1 '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded |
| ddfma37552 fma 1 '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded |
| ddfma37553 fma 1 '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded |
| ddfma37554 fma 1 '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded |
| ddfma37555 fma 1 '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded |
| ddfma37556 fma 1 '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded |
| ddfma37557 fma 1 '6543210123456789' 0.499999999 -> '6543210123456789' Inexact Rounded |
| ddfma37558 fma 1 '6543210123456789' 0.5 -> '6543210123456789' Inexact Rounded |
| ddfma37559 fma 1 '6543210123456789' 0.500000001 -> '6543210123456789' Inexact Rounded |
| ddfma37560 fma 1 '6543210123456789' 0.500001 -> '6543210123456789' Inexact Rounded |
| ddfma37561 fma 1 '6543210123456789' 0.51 -> '6543210123456789' Inexact Rounded |
| ddfma37562 fma 1 '6543210123456789' 0.6 -> '6543210123456789' Inexact Rounded |
| ddfma37563 fma 1 '6543210123456789' 0.9 -> '6543210123456789' Inexact Rounded |
| ddfma37564 fma 1 '6543210123456789' 0.99999 -> '6543210123456789' Inexact Rounded |
| ddfma37565 fma 1 '6543210123456789' 0.999999999 -> '6543210123456789' Inexact Rounded |
| ddfma37566 fma 1 '6543210123456789' 1 -> '6543210123456790' |
| ddfma37567 fma 1 '6543210123456789' 1.00000001 -> '6543210123456790' Inexact Rounded |
| ddfma37568 fma 1 '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded |
| ddfma37569 fma 1 '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded |
| |
| |
| -- verify a query |
| rounding: down |
| ddfma37661 fma 1 1e-398 9.000000000000000E+384 -> 9.000000000000000E+384 Inexact Rounded |
| ddfma37662 fma 1 0 9.000000000000000E+384 -> 9.000000000000000E+384 Rounded |
| ddfma37663 fma 1 1e-388 9.000000000000000E+374 -> 9.000000000000000E+374 Inexact Rounded |
| ddfma37664 fma 1 0 9.000000000000000E+374 -> 9.000000000000000E+374 Rounded |
| |
| -- more zeros, etc. |
| rounding: half_even |
| |
| ddfma37701 fma 1 5.00 1.00E-3 -> 5.00100 |
| ddfma37702 fma 1 00.00 0.000 -> 0.000 |
| ddfma37703 fma 1 00.00 0E-3 -> 0.000 |
| ddfma37704 fma 1 0E-3 00.00 -> 0.000 |
| |
| ddfma37710 fma 1 0E+3 00.00 -> 0.00 |
| ddfma37711 fma 1 0E+3 00.0 -> 0.0 |
| ddfma37712 fma 1 0E+3 00. -> 0 |
| ddfma37713 fma 1 0E+3 00.E+1 -> 0E+1 |
| ddfma37714 fma 1 0E+3 00.E+2 -> 0E+2 |
| ddfma37715 fma 1 0E+3 00.E+3 -> 0E+3 |
| ddfma37716 fma 1 0E+3 00.E+4 -> 0E+3 |
| ddfma37717 fma 1 0E+3 00.E+5 -> 0E+3 |
| ddfma37718 fma 1 0E+3 -00.0 -> 0.0 |
| ddfma37719 fma 1 0E+3 -00. -> 0 |
| ddfma37731 fma 1 0E+3 -00.E+1 -> 0E+1 |
| |
| ddfma37720 fma 1 00.00 0E+3 -> 0.00 |
| ddfma37721 fma 1 00.0 0E+3 -> 0.0 |
| ddfma37722 fma 1 00. 0E+3 -> 0 |
| ddfma37723 fma 1 00.E+1 0E+3 -> 0E+1 |
| ddfma37724 fma 1 00.E+2 0E+3 -> 0E+2 |
| ddfma37725 fma 1 00.E+3 0E+3 -> 0E+3 |
| ddfma37726 fma 1 00.E+4 0E+3 -> 0E+3 |
| ddfma37727 fma 1 00.E+5 0E+3 -> 0E+3 |
| ddfma37728 fma 1 -00.00 0E+3 -> 0.00 |
| ddfma37729 fma 1 -00.0 0E+3 -> 0.0 |
| ddfma37730 fma 1 -00. 0E+3 -> 0 |
| |
| ddfma37732 fma 1 0 0 -> 0 |
| ddfma37733 fma 1 0 -0 -> 0 |
| ddfma37734 fma 1 -0 0 -> 0 |
| ddfma37735 fma 1 -0 -0 -> -0 -- IEEE 854 special case |
| |
| ddfma37736 fma 1 1 -1 -> 0 |
| ddfma37737 fma 1 -1 -1 -> -2 |
| ddfma37738 fma 1 1 1 -> 2 |
| ddfma37739 fma 1 -1 1 -> 0 |
| |
| ddfma37741 fma 1 0 -1 -> -1 |
| ddfma37742 fma 1 -0 -1 -> -1 |
| ddfma37743 fma 1 0 1 -> 1 |
| ddfma37744 fma 1 -0 1 -> 1 |
| ddfma37745 fma 1 -1 0 -> -1 |
| ddfma37746 fma 1 -1 -0 -> -1 |
| ddfma37747 fma 1 1 0 -> 1 |
| ddfma37748 fma 1 1 -0 -> 1 |
| |
| ddfma37751 fma 1 0.0 -1 -> -1.0 |
| ddfma37752 fma 1 -0.0 -1 -> -1.0 |
| ddfma37753 fma 1 0.0 1 -> 1.0 |
| ddfma37754 fma 1 -0.0 1 -> 1.0 |
| ddfma37755 fma 1 -1.0 0 -> -1.0 |
| ddfma37756 fma 1 -1.0 -0 -> -1.0 |
| ddfma37757 fma 1 1.0 0 -> 1.0 |
| ddfma37758 fma 1 1.0 -0 -> 1.0 |
| |
| ddfma37761 fma 1 0 -1.0 -> -1.0 |
| ddfma37762 fma 1 -0 -1.0 -> -1.0 |
| ddfma37763 fma 1 0 1.0 -> 1.0 |
| ddfma37764 fma 1 -0 1.0 -> 1.0 |
| ddfma37765 fma 1 -1 0.0 -> -1.0 |
| ddfma37766 fma 1 -1 -0.0 -> -1.0 |
| ddfma37767 fma 1 1 0.0 -> 1.0 |
| ddfma37768 fma 1 1 -0.0 -> 1.0 |
| |
| ddfma37771 fma 1 0.0 -1.0 -> -1.0 |
| ddfma37772 fma 1 -0.0 -1.0 -> -1.0 |
| ddfma37773 fma 1 0.0 1.0 -> 1.0 |
| ddfma37774 fma 1 -0.0 1.0 -> 1.0 |
| ddfma37775 fma 1 -1.0 0.0 -> -1.0 |
| ddfma37776 fma 1 -1.0 -0.0 -> -1.0 |
| ddfma37777 fma 1 1.0 0.0 -> 1.0 |
| ddfma37778 fma 1 1.0 -0.0 -> 1.0 |
| |
| -- Specials |
| ddfma37780 fma 1 -Inf -Inf -> -Infinity |
| ddfma37781 fma 1 -Inf -1000 -> -Infinity |
| ddfma37782 fma 1 -Inf -1 -> -Infinity |
| ddfma37783 fma 1 -Inf -0 -> -Infinity |
| ddfma37784 fma 1 -Inf 0 -> -Infinity |
| ddfma37785 fma 1 -Inf 1 -> -Infinity |
| ddfma37786 fma 1 -Inf 1000 -> -Infinity |
| ddfma37787 fma 1 -1000 -Inf -> -Infinity |
| ddfma37788 fma 1 -Inf -Inf -> -Infinity |
| ddfma37789 fma 1 -1 -Inf -> -Infinity |
| ddfma37790 fma 1 -0 -Inf -> -Infinity |
| ddfma37791 fma 1 0 -Inf -> -Infinity |
| ddfma37792 fma 1 1 -Inf -> -Infinity |
| ddfma37793 fma 1 1000 -Inf -> -Infinity |
| ddfma37794 fma 1 Inf -Inf -> NaN Invalid_operation |
| |
| ddfma37800 fma 1 Inf -Inf -> NaN Invalid_operation |
| ddfma37801 fma 1 Inf -1000 -> Infinity |
| ddfma37802 fma 1 Inf -1 -> Infinity |
| ddfma37803 fma 1 Inf -0 -> Infinity |
| ddfma37804 fma 1 Inf 0 -> Infinity |
| ddfma37805 fma 1 Inf 1 -> Infinity |
| ddfma37806 fma 1 Inf 1000 -> Infinity |
| ddfma37807 fma 1 Inf Inf -> Infinity |
| ddfma37808 fma 1 -1000 Inf -> Infinity |
| ddfma37809 fma 1 -Inf Inf -> NaN Invalid_operation |
| ddfma37810 fma 1 -1 Inf -> Infinity |
| ddfma37811 fma 1 -0 Inf -> Infinity |
| ddfma37812 fma 1 0 Inf -> Infinity |
| ddfma37813 fma 1 1 Inf -> Infinity |
| ddfma37814 fma 1 1000 Inf -> Infinity |
| ddfma37815 fma 1 Inf Inf -> Infinity |
| |
| ddfma37821 fma 1 NaN -Inf -> NaN |
| ddfma37822 fma 1 NaN -1000 -> NaN |
| ddfma37823 fma 1 NaN -1 -> NaN |
| ddfma37824 fma 1 NaN -0 -> NaN |
| ddfma37825 fma 1 NaN 0 -> NaN |
| ddfma37826 fma 1 NaN 1 -> NaN |
| ddfma37827 fma 1 NaN 1000 -> NaN |
| ddfma37828 fma 1 NaN Inf -> NaN |
| ddfma37829 fma 1 NaN NaN -> NaN |
| ddfma37830 fma 1 -Inf NaN -> NaN |
| ddfma37831 fma 1 -1000 NaN -> NaN |
| ddfma37832 fma 1 -1 NaN -> NaN |
| ddfma37833 fma 1 -0 NaN -> NaN |
| ddfma37834 fma 1 0 NaN -> NaN |
| ddfma37835 fma 1 1 NaN -> NaN |
| ddfma37836 fma 1 1000 NaN -> NaN |
| ddfma37837 fma 1 Inf NaN -> NaN |
| |
| ddfma37841 fma 1 sNaN -Inf -> NaN Invalid_operation |
| ddfma37842 fma 1 sNaN -1000 -> NaN Invalid_operation |
| ddfma37843 fma 1 sNaN -1 -> NaN Invalid_operation |
| ddfma37844 fma 1 sNaN -0 -> NaN Invalid_operation |
| ddfma37845 fma 1 sNaN 0 -> NaN Invalid_operation |
| ddfma37846 fma 1 sNaN 1 -> NaN Invalid_operation |
| ddfma37847 fma 1 sNaN 1000 -> NaN Invalid_operation |
| ddfma37848 fma 1 sNaN NaN -> NaN Invalid_operation |
| ddfma37849 fma 1 sNaN sNaN -> NaN Invalid_operation |
| ddfma37850 fma 1 NaN sNaN -> NaN Invalid_operation |
| ddfma37851 fma 1 -Inf sNaN -> NaN Invalid_operation |
| ddfma37852 fma 1 -1000 sNaN -> NaN Invalid_operation |
| ddfma37853 fma 1 -1 sNaN -> NaN Invalid_operation |
| ddfma37854 fma 1 -0 sNaN -> NaN Invalid_operation |
| ddfma37855 fma 1 0 sNaN -> NaN Invalid_operation |
| ddfma37856 fma 1 1 sNaN -> NaN Invalid_operation |
| ddfma37857 fma 1 1000 sNaN -> NaN Invalid_operation |
| ddfma37858 fma 1 Inf sNaN -> NaN Invalid_operation |
| ddfma37859 fma 1 NaN sNaN -> NaN Invalid_operation |
| |
| -- propagating NaNs |
| ddfma37861 fma 1 NaN1 -Inf -> NaN1 |
| ddfma37862 fma 1 +NaN2 -1000 -> NaN2 |
| ddfma37863 fma 1 NaN3 1000 -> NaN3 |
| ddfma37864 fma 1 NaN4 Inf -> NaN4 |
| ddfma37865 fma 1 NaN5 +NaN6 -> NaN5 |
| ddfma37866 fma 1 -Inf NaN7 -> NaN7 |
| ddfma37867 fma 1 -1000 NaN8 -> NaN8 |
| ddfma37868 fma 1 1000 NaN9 -> NaN9 |
| ddfma37869 fma 1 Inf +NaN10 -> NaN10 |
| ddfma37871 fma 1 sNaN11 -Inf -> NaN11 Invalid_operation |
| ddfma37872 fma 1 sNaN12 -1000 -> NaN12 Invalid_operation |
| ddfma37873 fma 1 sNaN13 1000 -> NaN13 Invalid_operation |
| ddfma37874 fma 1 sNaN14 NaN17 -> NaN14 Invalid_operation |
| ddfma37875 fma 1 sNaN15 sNaN18 -> NaN15 Invalid_operation |
| ddfma37876 fma 1 NaN16 sNaN19 -> NaN19 Invalid_operation |
| ddfma37877 fma 1 -Inf +sNaN20 -> NaN20 Invalid_operation |
| ddfma37878 fma 1 -1000 sNaN21 -> NaN21 Invalid_operation |
| ddfma37879 fma 1 1000 sNaN22 -> NaN22 Invalid_operation |
| ddfma37880 fma 1 Inf sNaN23 -> NaN23 Invalid_operation |
| ddfma37881 fma 1 +NaN25 +sNaN24 -> NaN24 Invalid_operation |
| ddfma37882 fma 1 -NaN26 NaN28 -> -NaN26 |
| ddfma37883 fma 1 -sNaN27 sNaN29 -> -NaN27 Invalid_operation |
| ddfma37884 fma 1 1000 -NaN30 -> -NaN30 |
| ddfma37885 fma 1 1000 -sNaN31 -> -NaN31 Invalid_operation |
| |
| -- Here we explore near the boundary of rounding a subnormal to Nmin |
| ddfma37575 fma 1 1E-383 -1E-398 -> 9.99999999999999E-384 Subnormal |
| ddfma37576 fma 1 -1E-383 +1E-398 -> -9.99999999999999E-384 Subnormal |
| |
| -- check overflow edge case |
| -- 1234567890123456 |
| ddfma37972 apply 9.999999999999999E+384 -> 9.999999999999999E+384 |
| ddfma37973 fma 1 9.999999999999999E+384 1 -> 9.999999999999999E+384 Inexact Rounded |
| ddfma37974 fma 1 9999999999999999E+369 1 -> 9.999999999999999E+384 Inexact Rounded |
| ddfma37975 fma 1 9999999999999999E+369 1E+369 -> Infinity Overflow Inexact Rounded |
| ddfma37976 fma 1 9999999999999999E+369 9E+368 -> Infinity Overflow Inexact Rounded |
| ddfma37977 fma 1 9999999999999999E+369 8E+368 -> Infinity Overflow Inexact Rounded |
| ddfma37978 fma 1 9999999999999999E+369 7E+368 -> Infinity Overflow Inexact Rounded |
| ddfma37979 fma 1 9999999999999999E+369 6E+368 -> Infinity Overflow Inexact Rounded |
| ddfma37980 fma 1 9999999999999999E+369 5E+368 -> Infinity Overflow Inexact Rounded |
| ddfma37981 fma 1 9999999999999999E+369 4E+368 -> 9.999999999999999E+384 Inexact Rounded |
| ddfma37982 fma 1 9999999999999999E+369 3E+368 -> 9.999999999999999E+384 Inexact Rounded |
| ddfma37983 fma 1 9999999999999999E+369 2E+368 -> 9.999999999999999E+384 Inexact Rounded |
| ddfma37984 fma 1 9999999999999999E+369 1E+368 -> 9.999999999999999E+384 Inexact Rounded |
| |
| ddfma37985 apply -9.999999999999999E+384 -> -9.999999999999999E+384 |
| ddfma37986 fma 1 -9.999999999999999E+384 -1 -> -9.999999999999999E+384 Inexact Rounded |
| ddfma37987 fma 1 -9999999999999999E+369 -1 -> -9.999999999999999E+384 Inexact Rounded |
| ddfma37988 fma 1 -9999999999999999E+369 -1E+369 -> -Infinity Overflow Inexact Rounded |
| ddfma37989 fma 1 -9999999999999999E+369 -9E+368 -> -Infinity Overflow Inexact Rounded |
| ddfma37990 fma 1 -9999999999999999E+369 -8E+368 -> -Infinity Overflow Inexact Rounded |
| ddfma37991 fma 1 -9999999999999999E+369 -7E+368 -> -Infinity Overflow Inexact Rounded |
| ddfma37992 fma 1 -9999999999999999E+369 -6E+368 -> -Infinity Overflow Inexact Rounded |
| ddfma37993 fma 1 -9999999999999999E+369 -5E+368 -> -Infinity Overflow Inexact Rounded |
| ddfma37994 fma 1 -9999999999999999E+369 -4E+368 -> -9.999999999999999E+384 Inexact Rounded |
| ddfma37995 fma 1 -9999999999999999E+369 -3E+368 -> -9.999999999999999E+384 Inexact Rounded |
| ddfma37996 fma 1 -9999999999999999E+369 -2E+368 -> -9.999999999999999E+384 Inexact Rounded |
| ddfma37997 fma 1 -9999999999999999E+369 -1E+368 -> -9.999999999999999E+384 Inexact Rounded |
| |
| -- And for round down full and subnormal results |
| rounding: down |
| ddfma371100 fma 1 1e+2 -1e-383 -> 99.99999999999999 Rounded Inexact |
| ddfma371101 fma 1 1e+1 -1e-383 -> 9.999999999999999 Rounded Inexact |
| ddfma371103 fma 1 +1 -1e-383 -> 0.9999999999999999 Rounded Inexact |
| ddfma371104 fma 1 1e-1 -1e-383 -> 0.09999999999999999 Rounded Inexact |
| ddfma371105 fma 1 1e-2 -1e-383 -> 0.009999999999999999 Rounded Inexact |
| ddfma371106 fma 1 1e-3 -1e-383 -> 0.0009999999999999999 Rounded Inexact |
| ddfma371107 fma 1 1e-4 -1e-383 -> 0.00009999999999999999 Rounded Inexact |
| ddfma371108 fma 1 1e-5 -1e-383 -> 0.000009999999999999999 Rounded Inexact |
| ddfma371109 fma 1 1e-6 -1e-383 -> 9.999999999999999E-7 Rounded Inexact |
| |
| rounding: ceiling |
| ddfma371110 fma 1 -1e+2 +1e-383 -> -99.99999999999999 Rounded Inexact |
| ddfma371111 fma 1 -1e+1 +1e-383 -> -9.999999999999999 Rounded Inexact |
| ddfma371113 fma 1 -1 +1e-383 -> -0.9999999999999999 Rounded Inexact |
| ddfma371114 fma 1 -1e-1 +1e-383 -> -0.09999999999999999 Rounded Inexact |
| ddfma371115 fma 1 -1e-2 +1e-383 -> -0.009999999999999999 Rounded Inexact |
| ddfma371116 fma 1 -1e-3 +1e-383 -> -0.0009999999999999999 Rounded Inexact |
| ddfma371117 fma 1 -1e-4 +1e-383 -> -0.00009999999999999999 Rounded Inexact |
| ddfma371118 fma 1 -1e-5 +1e-383 -> -0.000009999999999999999 Rounded Inexact |
| ddfma371119 fma 1 -1e-6 +1e-383 -> -9.999999999999999E-7 Rounded Inexact |
| |
| -- tests based on Gunnar Degnbol's edge case |
| rounding: half_even |
| |
| ddfma371300 fma 1 1E16 -0.5 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma371310 fma 1 1E16 -0.51 -> 9999999999999999 Inexact Rounded |
| ddfma371311 fma 1 1E16 -0.501 -> 9999999999999999 Inexact Rounded |
| ddfma371312 fma 1 1E16 -0.5001 -> 9999999999999999 Inexact Rounded |
| ddfma371313 fma 1 1E16 -0.50001 -> 9999999999999999 Inexact Rounded |
| ddfma371314 fma 1 1E16 -0.500001 -> 9999999999999999 Inexact Rounded |
| ddfma371315 fma 1 1E16 -0.5000001 -> 9999999999999999 Inexact Rounded |
| ddfma371316 fma 1 1E16 -0.50000001 -> 9999999999999999 Inexact Rounded |
| ddfma371317 fma 1 1E16 -0.500000001 -> 9999999999999999 Inexact Rounded |
| ddfma371318 fma 1 1E16 -0.5000000001 -> 9999999999999999 Inexact Rounded |
| ddfma371319 fma 1 1E16 -0.50000000001 -> 9999999999999999 Inexact Rounded |
| ddfma371320 fma 1 1E16 -0.500000000001 -> 9999999999999999 Inexact Rounded |
| ddfma371321 fma 1 1E16 -0.5000000000001 -> 9999999999999999 Inexact Rounded |
| ddfma371322 fma 1 1E16 -0.50000000000001 -> 9999999999999999 Inexact Rounded |
| ddfma371323 fma 1 1E16 -0.500000000000001 -> 9999999999999999 Inexact Rounded |
| ddfma371324 fma 1 1E16 -0.5000000000000001 -> 9999999999999999 Inexact Rounded |
| ddfma371325 fma 1 1E16 -0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma371326 fma 1 1E16 -0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma371327 fma 1 1E16 -0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma371328 fma 1 1E16 -0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma371329 fma 1 1E16 -0.500000000000 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma371330 fma 1 1E16 -0.50000000000 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma371331 fma 1 1E16 -0.5000000000 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma371332 fma 1 1E16 -0.500000000 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma371333 fma 1 1E16 -0.50000000 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma371334 fma 1 1E16 -0.5000000 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma371335 fma 1 1E16 -0.500000 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma371336 fma 1 1E16 -0.50000 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma371337 fma 1 1E16 -0.5000 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma371338 fma 1 1E16 -0.500 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma371339 fma 1 1E16 -0.50 -> 1.000000000000000E+16 Inexact Rounded |
| |
| ddfma371340 fma 1 1E16 -5000000.000010001 -> 9999999995000000 Inexact Rounded |
| ddfma371341 fma 1 1E16 -5000000.000000001 -> 9999999995000000 Inexact Rounded |
| |
| ddfma371349 fma 1 9999999999999999 0.4 -> 9999999999999999 Inexact Rounded |
| ddfma371350 fma 1 9999999999999999 0.49 -> 9999999999999999 Inexact Rounded |
| ddfma371351 fma 1 9999999999999999 0.499 -> 9999999999999999 Inexact Rounded |
| ddfma371352 fma 1 9999999999999999 0.4999 -> 9999999999999999 Inexact Rounded |
| ddfma371353 fma 1 9999999999999999 0.49999 -> 9999999999999999 Inexact Rounded |
| ddfma371354 fma 1 9999999999999999 0.499999 -> 9999999999999999 Inexact Rounded |
| ddfma371355 fma 1 9999999999999999 0.4999999 -> 9999999999999999 Inexact Rounded |
| ddfma371356 fma 1 9999999999999999 0.49999999 -> 9999999999999999 Inexact Rounded |
| ddfma371357 fma 1 9999999999999999 0.499999999 -> 9999999999999999 Inexact Rounded |
| ddfma371358 fma 1 9999999999999999 0.4999999999 -> 9999999999999999 Inexact Rounded |
| ddfma371359 fma 1 9999999999999999 0.49999999999 -> 9999999999999999 Inexact Rounded |
| ddfma371360 fma 1 9999999999999999 0.499999999999 -> 9999999999999999 Inexact Rounded |
| ddfma371361 fma 1 9999999999999999 0.4999999999999 -> 9999999999999999 Inexact Rounded |
| ddfma371362 fma 1 9999999999999999 0.49999999999999 -> 9999999999999999 Inexact Rounded |
| ddfma371363 fma 1 9999999999999999 0.499999999999999 -> 9999999999999999 Inexact Rounded |
| ddfma371364 fma 1 9999999999999999 0.4999999999999999 -> 9999999999999999 Inexact Rounded |
| ddfma371365 fma 1 9999999999999999 0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma371367 fma 1 9999999999999999 0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma371368 fma 1 9999999999999999 0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma371369 fma 1 9999999999999999 0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma371370 fma 1 9999999999999999 0.500000000000 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma371371 fma 1 9999999999999999 0.50000000000 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma371372 fma 1 9999999999999999 0.5000000000 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma371373 fma 1 9999999999999999 0.500000000 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma371374 fma 1 9999999999999999 0.50000000 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma371375 fma 1 9999999999999999 0.5000000 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma371376 fma 1 9999999999999999 0.500000 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma371377 fma 1 9999999999999999 0.50000 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma371378 fma 1 9999999999999999 0.5000 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma371379 fma 1 9999999999999999 0.500 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma371380 fma 1 9999999999999999 0.50 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma371381 fma 1 9999999999999999 0.5 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma371382 fma 1 9999999999999999 0.5000000000000001 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma371383 fma 1 9999999999999999 0.500000000000001 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma371384 fma 1 9999999999999999 0.50000000000001 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma371385 fma 1 9999999999999999 0.5000000000001 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma371386 fma 1 9999999999999999 0.500000000001 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma371387 fma 1 9999999999999999 0.50000000001 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma371388 fma 1 9999999999999999 0.5000000001 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma371389 fma 1 9999999999999999 0.500000001 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma371390 fma 1 9999999999999999 0.50000001 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma371391 fma 1 9999999999999999 0.5000001 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma371392 fma 1 9999999999999999 0.500001 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma371393 fma 1 9999999999999999 0.50001 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma371394 fma 1 9999999999999999 0.5001 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma371395 fma 1 9999999999999999 0.501 -> 1.000000000000000E+16 Inexact Rounded |
| ddfma371396 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 |
| ddfma371420 fma 1 0 1.123456789012345 -> 1.123456789012345 |
| ddfma371421 fma 1 0 1.123456789012345E-1 -> 0.1123456789012345 |
| ddfma371422 fma 1 0 1.123456789012345E-2 -> 0.01123456789012345 |
| ddfma371423 fma 1 0 1.123456789012345E-3 -> 0.001123456789012345 |
| ddfma371424 fma 1 0 1.123456789012345E-4 -> 0.0001123456789012345 |
| ddfma371425 fma 1 0 1.123456789012345E-5 -> 0.00001123456789012345 |
| ddfma371426 fma 1 0 1.123456789012345E-6 -> 0.000001123456789012345 |
| ddfma371427 fma 1 0 1.123456789012345E-7 -> 1.123456789012345E-7 |
| ddfma371428 fma 1 0 1.123456789012345E-8 -> 1.123456789012345E-8 |
| ddfma371429 fma 1 0 1.123456789012345E-9 -> 1.123456789012345E-9 |
| ddfma371430 fma 1 0 1.123456789012345E-10 -> 1.123456789012345E-10 |
| ddfma371431 fma 1 0 1.123456789012345E-11 -> 1.123456789012345E-11 |
| ddfma371432 fma 1 0 1.123456789012345E-12 -> 1.123456789012345E-12 |
| ddfma371433 fma 1 0 1.123456789012345E-13 -> 1.123456789012345E-13 |
| ddfma371434 fma 1 0 1.123456789012345E-14 -> 1.123456789012345E-14 |
| ddfma371435 fma 1 0 1.123456789012345E-15 -> 1.123456789012345E-15 |
| ddfma371436 fma 1 0 1.123456789012345E-16 -> 1.123456789012345E-16 |
| ddfma371437 fma 1 0 1.123456789012345E-17 -> 1.123456789012345E-17 |
| ddfma371438 fma 1 0 1.123456789012345E-18 -> 1.123456789012345E-18 |
| ddfma371439 fma 1 0 1.123456789012345E-19 -> 1.123456789012345E-19 |
| |
| -- same, reversed 0 |
| ddfma371440 fma 1 1.123456789012345 0 -> 1.123456789012345 |
| ddfma371441 fma 1 1.123456789012345E-1 0 -> 0.1123456789012345 |
| ddfma371442 fma 1 1.123456789012345E-2 0 -> 0.01123456789012345 |
| ddfma371443 fma 1 1.123456789012345E-3 0 -> 0.001123456789012345 |
| ddfma371444 fma 1 1.123456789012345E-4 0 -> 0.0001123456789012345 |
| ddfma371445 fma 1 1.123456789012345E-5 0 -> 0.00001123456789012345 |
| ddfma371446 fma 1 1.123456789012345E-6 0 -> 0.000001123456789012345 |
| ddfma371447 fma 1 1.123456789012345E-7 0 -> 1.123456789012345E-7 |
| ddfma371448 fma 1 1.123456789012345E-8 0 -> 1.123456789012345E-8 |
| ddfma371449 fma 1 1.123456789012345E-9 0 -> 1.123456789012345E-9 |
| ddfma371450 fma 1 1.123456789012345E-10 0 -> 1.123456789012345E-10 |
| ddfma371451 fma 1 1.123456789012345E-11 0 -> 1.123456789012345E-11 |
| ddfma371452 fma 1 1.123456789012345E-12 0 -> 1.123456789012345E-12 |
| ddfma371453 fma 1 1.123456789012345E-13 0 -> 1.123456789012345E-13 |
| ddfma371454 fma 1 1.123456789012345E-14 0 -> 1.123456789012345E-14 |
| ddfma371455 fma 1 1.123456789012345E-15 0 -> 1.123456789012345E-15 |
| ddfma371456 fma 1 1.123456789012345E-16 0 -> 1.123456789012345E-16 |
| ddfma371457 fma 1 1.123456789012345E-17 0 -> 1.123456789012345E-17 |
| ddfma371458 fma 1 1.123456789012345E-18 0 -> 1.123456789012345E-18 |
| ddfma371459 fma 1 1.123456789012345E-19 0 -> 1.123456789012345E-19 |
| |
| -- same, Es on the 0 |
| ddfma371460 fma 1 1.123456789012345 0E-0 -> 1.123456789012345 |
| ddfma371461 fma 1 1.123456789012345 0E-1 -> 1.123456789012345 |
| ddfma371462 fma 1 1.123456789012345 0E-2 -> 1.123456789012345 |
| ddfma371463 fma 1 1.123456789012345 0E-3 -> 1.123456789012345 |
| ddfma371464 fma 1 1.123456789012345 0E-4 -> 1.123456789012345 |
| ddfma371465 fma 1 1.123456789012345 0E-5 -> 1.123456789012345 |
| ddfma371466 fma 1 1.123456789012345 0E-6 -> 1.123456789012345 |
| ddfma371467 fma 1 1.123456789012345 0E-7 -> 1.123456789012345 |
| ddfma371468 fma 1 1.123456789012345 0E-8 -> 1.123456789012345 |
| ddfma371469 fma 1 1.123456789012345 0E-9 -> 1.123456789012345 |
| ddfma371470 fma 1 1.123456789012345 0E-10 -> 1.123456789012345 |
| ddfma371471 fma 1 1.123456789012345 0E-11 -> 1.123456789012345 |
| ddfma371472 fma 1 1.123456789012345 0E-12 -> 1.123456789012345 |
| ddfma371473 fma 1 1.123456789012345 0E-13 -> 1.123456789012345 |
| ddfma371474 fma 1 1.123456789012345 0E-14 -> 1.123456789012345 |
| ddfma371475 fma 1 1.123456789012345 0E-15 -> 1.123456789012345 |
| -- next four flag Rounded because the 0 extends the result |
| ddfma371476 fma 1 1.123456789012345 0E-16 -> 1.123456789012345 Rounded |
| ddfma371477 fma 1 1.123456789012345 0E-17 -> 1.123456789012345 Rounded |
| ddfma371478 fma 1 1.123456789012345 0E-18 -> 1.123456789012345 Rounded |
| ddfma371479 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 |
| ddfma371500 fma 1 0 0E-19 -> 0E-19 |
| ddfma371501 fma 1 -0 0E-19 -> 0E-19 |
| ddfma371502 fma 1 0 -0E-19 -> 0E-19 |
| ddfma371503 fma 1 -0 -0E-19 -> -0E-19 |
| -- exact zeros from non-zeros |
| ddfma371511 fma 1 -11 11 -> 0 |
| ddfma371512 fma 1 11 -11 -> 0 |
| |
| rounding: half_down |
| -- exact zeros from zeros |
| ddfma371520 fma 1 0 0E-19 -> 0E-19 |
| ddfma371521 fma 1 -0 0E-19 -> 0E-19 |
| ddfma371522 fma 1 0 -0E-19 -> 0E-19 |
| ddfma371523 fma 1 -0 -0E-19 -> -0E-19 |
| -- exact zeros from non-zeros |
| ddfma371531 fma 1 -11 11 -> 0 |
| ddfma371532 fma 1 11 -11 -> 0 |
| |
| rounding: half_even |
| -- exact zeros from zeros |
| ddfma371540 fma 1 0 0E-19 -> 0E-19 |
| ddfma371541 fma 1 -0 0E-19 -> 0E-19 |
| ddfma371542 fma 1 0 -0E-19 -> 0E-19 |
| ddfma371543 fma 1 -0 -0E-19 -> -0E-19 |
| -- exact zeros from non-zeros |
| ddfma371551 fma 1 -11 11 -> 0 |
| ddfma371552 fma 1 11 -11 -> 0 |
| |
| rounding: up |
| -- exact zeros from zeros |
| ddfma371560 fma 1 0 0E-19 -> 0E-19 |
| ddfma371561 fma 1 -0 0E-19 -> 0E-19 |
| ddfma371562 fma 1 0 -0E-19 -> 0E-19 |
| ddfma371563 fma 1 -0 -0E-19 -> -0E-19 |
| -- exact zeros from non-zeros |
| ddfma371571 fma 1 -11 11 -> 0 |
| ddfma371572 fma 1 11 -11 -> 0 |
| |
| rounding: down |
| -- exact zeros from zeros |
| ddfma371580 fma 1 0 0E-19 -> 0E-19 |
| ddfma371581 fma 1 -0 0E-19 -> 0E-19 |
| ddfma371582 fma 1 0 -0E-19 -> 0E-19 |
| ddfma371583 fma 1 -0 -0E-19 -> -0E-19 |
| -- exact zeros from non-zeros |
| ddfma371591 fma 1 -11 11 -> 0 |
| ddfma371592 fma 1 11 -11 -> 0 |
| |
| rounding: ceiling |
| -- exact zeros from zeros |
| ddfma371600 fma 1 0 0E-19 -> 0E-19 |
| ddfma371601 fma 1 -0 0E-19 -> 0E-19 |
| ddfma371602 fma 1 0 -0E-19 -> 0E-19 |
| ddfma371603 fma 1 -0 -0E-19 -> -0E-19 |
| -- exact zeros from non-zeros |
| ddfma371611 fma 1 -11 11 -> 0 |
| ddfma371612 fma 1 11 -11 -> 0 |
| |
| -- and the extra-special ugly case; unusual minuses marked by -- * |
| rounding: floor |
| -- exact zeros from zeros |
| ddfma371620 fma 1 0 0E-19 -> 0E-19 |
| ddfma371621 fma 1 -0 0E-19 -> -0E-19 -- * |
| ddfma371622 fma 1 0 -0E-19 -> -0E-19 -- * |
| ddfma371623 fma 1 -0 -0E-19 -> -0E-19 |
| -- exact zeros from non-zeros |
| ddfma371631 fma 1 -11 11 -> -0 -- * |
| ddfma371632 fma 1 11 -11 -> -0 -- * |
| |
| -- Examples from SQL proposal (Krishna Kulkarni) |
| ddfma371701 fma 1 130E-2 120E-2 -> 2.50 |
| ddfma371702 fma 1 130E-2 12E-1 -> 2.50 |
| ddfma371703 fma 1 130E-2 1E0 -> 2.30 |
| ddfma371704 fma 1 1E2 1E4 -> 1.01E+4 |
| ddfma371705 fma 1 130E-2 -120E-2 -> 0.10 |
| ddfma371706 fma 1 130E-2 -12E-1 -> 0.10 |
| ddfma371707 fma 1 130E-2 -1E0 -> 0.30 |
| ddfma371708 fma 1 1E2 -1E4 -> -9.9E+3 |
| |
| -- Gappy coefficients; check residue handling even with full coefficient gap |
| rounding: half_even |
| |
| ddfma375001 fma 1 1234567890123456 1 -> 1234567890123457 |
| ddfma375002 fma 1 1234567890123456 0.6 -> 1234567890123457 Inexact Rounded |
| ddfma375003 fma 1 1234567890123456 0.06 -> 1234567890123456 Inexact Rounded |
| ddfma375004 fma 1 1234567890123456 6E-3 -> 1234567890123456 Inexact Rounded |
| ddfma375005 fma 1 1234567890123456 6E-4 -> 1234567890123456 Inexact Rounded |
| ddfma375006 fma 1 1234567890123456 6E-5 -> 1234567890123456 Inexact Rounded |
| ddfma375007 fma 1 1234567890123456 6E-6 -> 1234567890123456 Inexact Rounded |
| ddfma375008 fma 1 1234567890123456 6E-7 -> 1234567890123456 Inexact Rounded |
| ddfma375009 fma 1 1234567890123456 6E-8 -> 1234567890123456 Inexact Rounded |
| ddfma375010 fma 1 1234567890123456 6E-9 -> 1234567890123456 Inexact Rounded |
| ddfma375011 fma 1 1234567890123456 6E-10 -> 1234567890123456 Inexact Rounded |
| ddfma375012 fma 1 1234567890123456 6E-11 -> 1234567890123456 Inexact Rounded |
| ddfma375013 fma 1 1234567890123456 6E-12 -> 1234567890123456 Inexact Rounded |
| ddfma375014 fma 1 1234567890123456 6E-13 -> 1234567890123456 Inexact Rounded |
| ddfma375015 fma 1 1234567890123456 6E-14 -> 1234567890123456 Inexact Rounded |
| ddfma375016 fma 1 1234567890123456 6E-15 -> 1234567890123456 Inexact Rounded |
| ddfma375017 fma 1 1234567890123456 6E-16 -> 1234567890123456 Inexact Rounded |
| ddfma375018 fma 1 1234567890123456 6E-17 -> 1234567890123456 Inexact Rounded |
| ddfma375019 fma 1 1234567890123456 6E-18 -> 1234567890123456 Inexact Rounded |
| ddfma375020 fma 1 1234567890123456 6E-19 -> 1234567890123456 Inexact Rounded |
| ddfma375021 fma 1 1234567890123456 6E-20 -> 1234567890123456 Inexact Rounded |
| |
| -- widening second argument at gap |
| ddfma375030 fma 1 12345678 1 -> 12345679 |
| ddfma375031 fma 1 12345678 0.1 -> 12345678.1 |
| ddfma375032 fma 1 12345678 0.12 -> 12345678.12 |
| ddfma375033 fma 1 12345678 0.123 -> 12345678.123 |
| ddfma375034 fma 1 12345678 0.1234 -> 12345678.1234 |
| ddfma375035 fma 1 12345678 0.12345 -> 12345678.12345 |
| ddfma375036 fma 1 12345678 0.123456 -> 12345678.123456 |
| ddfma375037 fma 1 12345678 0.1234567 -> 12345678.1234567 |
| ddfma375038 fma 1 12345678 0.12345678 -> 12345678.12345678 |
| ddfma375039 fma 1 12345678 0.123456789 -> 12345678.12345679 Inexact Rounded |
| ddfma375040 fma 1 12345678 0.123456785 -> 12345678.12345678 Inexact Rounded |
| ddfma375041 fma 1 12345678 0.1234567850 -> 12345678.12345678 Inexact Rounded |
| ddfma375042 fma 1 12345678 0.1234567851 -> 12345678.12345679 Inexact Rounded |
| ddfma375043 fma 1 12345678 0.12345678501 -> 12345678.12345679 Inexact Rounded |
| ddfma375044 fma 1 12345678 0.123456785001 -> 12345678.12345679 Inexact Rounded |
| ddfma375045 fma 1 12345678 0.1234567850001 -> 12345678.12345679 Inexact Rounded |
| ddfma375046 fma 1 12345678 0.12345678500001 -> 12345678.12345679 Inexact Rounded |
| ddfma375047 fma 1 12345678 0.123456785000001 -> 12345678.12345679 Inexact Rounded |
| ddfma375048 fma 1 12345678 0.1234567850000001 -> 12345678.12345679 Inexact Rounded |
| ddfma375049 fma 1 12345678 0.1234567850000000 -> 12345678.12345678 Inexact Rounded |
| -- 90123456 |
| rounding: half_even |
| ddfma375050 fma 1 12345678 0.0234567750000000 -> 12345678.02345678 Inexact Rounded |
| ddfma375051 fma 1 12345678 0.0034567750000000 -> 12345678.00345678 Inexact Rounded |
| ddfma375052 fma 1 12345678 0.0004567750000000 -> 12345678.00045678 Inexact Rounded |
| ddfma375053 fma 1 12345678 0.0000567750000000 -> 12345678.00005678 Inexact Rounded |
| ddfma375054 fma 1 12345678 0.0000067750000000 -> 12345678.00000678 Inexact Rounded |
| ddfma375055 fma 1 12345678 0.0000007750000000 -> 12345678.00000078 Inexact Rounded |
| ddfma375056 fma 1 12345678 0.0000000750000000 -> 12345678.00000008 Inexact Rounded |
| ddfma375057 fma 1 12345678 0.0000000050000000 -> 12345678.00000000 Inexact Rounded |
| ddfma375060 fma 1 12345678 0.0234567750000001 -> 12345678.02345678 Inexact Rounded |
| ddfma375061 fma 1 12345678 0.0034567750000001 -> 12345678.00345678 Inexact Rounded |
| ddfma375062 fma 1 12345678 0.0004567750000001 -> 12345678.00045678 Inexact Rounded |
| ddfma375063 fma 1 12345678 0.0000567750000001 -> 12345678.00005678 Inexact Rounded |
| ddfma375064 fma 1 12345678 0.0000067750000001 -> 12345678.00000678 Inexact Rounded |
| ddfma375065 fma 1 12345678 0.0000007750000001 -> 12345678.00000078 Inexact Rounded |
| ddfma375066 fma 1 12345678 0.0000000750000001 -> 12345678.00000008 Inexact Rounded |
| ddfma375067 fma 1 12345678 0.0000000050000001 -> 12345678.00000001 Inexact Rounded |
| -- far-out residues (full coefficient gap is 16+15 digits) |
| rounding: up |
| ddfma375070 fma 1 12345678 1E-8 -> 12345678.00000001 |
| ddfma375071 fma 1 12345678 1E-9 -> 12345678.00000001 Inexact Rounded |
| ddfma375072 fma 1 12345678 1E-10 -> 12345678.00000001 Inexact Rounded |
| ddfma375073 fma 1 12345678 1E-11 -> 12345678.00000001 Inexact Rounded |
| ddfma375074 fma 1 12345678 1E-12 -> 12345678.00000001 Inexact Rounded |
| ddfma375075 fma 1 12345678 1E-13 -> 12345678.00000001 Inexact Rounded |
| ddfma375076 fma 1 12345678 1E-14 -> 12345678.00000001 Inexact Rounded |
| ddfma375077 fma 1 12345678 1E-15 -> 12345678.00000001 Inexact Rounded |
| ddfma375078 fma 1 12345678 1E-16 -> 12345678.00000001 Inexact Rounded |
| ddfma375079 fma 1 12345678 1E-17 -> 12345678.00000001 Inexact Rounded |
| ddfma375080 fma 1 12345678 1E-18 -> 12345678.00000001 Inexact Rounded |
| ddfma375081 fma 1 12345678 1E-19 -> 12345678.00000001 Inexact Rounded |
| ddfma375082 fma 1 12345678 1E-20 -> 12345678.00000001 Inexact Rounded |
| ddfma375083 fma 1 12345678 1E-25 -> 12345678.00000001 Inexact Rounded |
| ddfma375084 fma 1 12345678 1E-30 -> 12345678.00000001 Inexact Rounded |
| ddfma375085 fma 1 12345678 1E-31 -> 12345678.00000001 Inexact Rounded |
| ddfma375086 fma 1 12345678 1E-32 -> 12345678.00000001 Inexact Rounded |
| ddfma375087 fma 1 12345678 1E-33 -> 12345678.00000001 Inexact Rounded |
| ddfma375088 fma 1 12345678 1E-34 -> 12345678.00000001 Inexact Rounded |
| ddfma375089 fma 1 12345678 1E-35 -> 12345678.00000001 Inexact Rounded |
| |
| -- desctructive subtraction (from remainder tests) |
| |
| -- +++ some of these will be off-by-one remainder vs remainderNear |
| |
| ddfma4000 fma -1234567890123454 1.000000000000001 1234567890123456 -> 0.765432109876546 |
| ddfma4001 fma -1234567890123443 1.00000000000001 1234567890123456 -> 0.65432109876557 |
| ddfma4002 fma -1234567890123332 1.0000000000001 1234567890123456 -> 0.5432109876668 |
| ddfma4003 fma -308641972530863 4.000000000000001 1234567890123455 -> 2.691358027469137 |
| ddfma4004 fma -308641972530863 4.000000000000001 1234567890123456 -> 3.691358027469137 |
| ddfma4005 fma -246913578024696 4.9999999999999 1234567890123456 -> 0.6913578024696 |
| ddfma4006 fma -246913578024691 4.99999999999999 1234567890123456 -> 3.46913578024691 |
| ddfma4007 fma -246913578024691 4.999999999999999 1234567890123456 -> 1.246913578024691 |
| ddfma4008 fma -246913578024691 5.000000000000001 1234567890123456 -> 0.753086421975309 |
| ddfma4009 fma -246913578024690 5.00000000000001 1234567890123456 -> 3.53086421975310 |
| ddfma4010 fma -246913578024686 5.0000000000001 1234567890123456 -> 1.3086421975314 |
| ddfma4011 fma -1234567890123455 1.000000000000001 1234567890123456 -> -0.234567890123455 |
| ddfma4012 fma -1234567890123444 1.00000000000001 1234567890123456 -> -0.34567890123444 |
| ddfma4013 fma -1234567890123333 1.0000000000001 1234567890123456 -> -0.4567890123333 |
| ddfma4014 fma -308641972530864 4.000000000000001 1234567890123455 -> -1.308641972530864 |
| ddfma4015 fma -308641972530864 4.000000000000001 1234567890123456 -> -0.308641972530864 |
| ddfma4016 fma -246913578024696 4.9999999999999 1234567890123456 -> 0.6913578024696 |
| ddfma4017 fma -246913578024692 4.99999999999999 1234567890123456 -> -1.53086421975308 |
| ddfma4018 fma -246913578024691 4.999999999999999 1234567890123456 -> 1.246913578024691 |
| ddfma4019 fma -246913578024691 5.000000000000001 1234567890123456 -> 0.753086421975309 |
| ddfma4020 fma -246913578024691 5.00000000000001 1234567890123456 -> -1.46913578024691 |
| ddfma4021 fma -246913578024686 5.0000000000001 1234567890123456 -> 1.3086421975314 |
| |
| |
| -- Null tests |
| ddfma39990 fma 1 10 # -> NaN Invalid_operation |
| ddfma39991 fma 1 # 10 -> NaN Invalid_operation |
| |
| |
