ddFMA.decTest | searchcode

/Lib/test/decimaltestdata/ddFMA.decTest

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Possible License(s): 0BSD, BSD-3-Clause

------------------------------------------------------------------------

-- 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: 2.58



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