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✏️ ddFMA.decTest
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------------------------------------------------------------------------ -- 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
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