source: python/trunk/Lib/test/decimaltestdata/ddFMA.decTest

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1------------------------------------------------------------------------
2-- ddFMA.decTest -- decDouble Fused Multiply Add --
3-- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. --
4------------------------------------------------------------------------
5-- Please see the document "General Decimal Arithmetic Testcases" --
6-- at http://www2.hursley.ibm.com/decimal for the description of --
7-- these testcases. --
8-- --
9-- These testcases are experimental ('beta' versions), and they --
10-- may contain errors. They are offered on an as-is basis. In --
11-- particular, achieving the same results as the tests here is not --
12-- a guarantee that an implementation complies with any Standard --
13-- or specification. The tests are not exhaustive. --
14-- --
15-- Please send comments, suggestions, and corrections to the author: --
16-- Mike Cowlishaw, IBM Fellow --
17-- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK --
18-- mfc@uk.ibm.com --
19------------------------------------------------------------------------
20version: 2.59
21
22precision: 16
23maxExponent: 384
24minExponent: -383
25extended: 1
26clamp: 1
27rounding: half_even
28
29-- These tests comprese three parts:
30-- 1. Sanity checks and other three-operand tests (especially those
31-- where the fused operation makes a difference)
32-- 2. Multiply tests (third operand is neutral zero [0E+emax])
33-- 3. Addition tests (first operand is 1)
34-- The multiply and addition tests are extensive because FMA may have
35-- its own dedicated multiplication or addition routine(s), and they
36-- also inherently check the left-to-right properties.
37
38-- Sanity checks
39ddfma0001 fma 1 1 1 -> 2
40ddfma0002 fma 1 1 2 -> 3
41ddfma0003 fma 2 2 3 -> 7
42ddfma0004 fma 9 9 9 -> 90
43ddfma0005 fma -1 1 1 -> 0
44ddfma0006 fma -1 1 2 -> 1
45ddfma0007 fma -2 2 3 -> -1
46ddfma0008 fma -9 9 9 -> -72
47ddfma0011 fma 1 -1 1 -> 0
48ddfma0012 fma 1 -1 2 -> 1
49ddfma0013 fma 2 -2 3 -> -1
50ddfma0014 fma 9 -9 9 -> -72
51ddfma0015 fma 1 1 -1 -> 0
52ddfma0016 fma 1 1 -2 -> -1
53ddfma0017 fma 2 2 -3 -> 1
54ddfma0018 fma 9 9 -9 -> 72
55
56-- non-integer exacts
57ddfma0100 fma 25.2 63.6 -438 -> 1164.72
58ddfma0101 fma 0.301 0.380 334 -> 334.114380
59ddfma0102 fma 49.2 -4.8 23.3 -> -212.86
60ddfma0103 fma 4.22 0.079 -94.6 -> -94.26662
61ddfma0104 fma 903 0.797 0.887 -> 720.578
62ddfma0105 fma 6.13 -161 65.9 -> -921.03
63ddfma0106 fma 28.2 727 5.45 -> 20506.85
64ddfma0107 fma 4 605 688 -> 3108
65ddfma0108 fma 93.3 0.19 0.226 -> 17.953
66ddfma0109 fma 0.169 -341 5.61 -> -52.019
67ddfma0110 fma -72.2 30 -51.2 -> -2217.2
68ddfma0111 fma -0.409 13 20.4 -> 15.083
69ddfma0112 fma 317 77.0 19.0 -> 24428.0
70ddfma0113 fma 47 6.58 1.62 -> 310.88
71ddfma0114 fma 1.36 0.984 0.493 -> 1.83124
72ddfma0115 fma 72.7 274 1.56 -> 19921.36
73ddfma0116 fma 335 847 83 -> 283828
74ddfma0117 fma 666 0.247 25.4 -> 189.902
75ddfma0118 fma -3.87 3.06 78.0 -> 66.1578
76ddfma0119 fma 0.742 192 35.6 -> 178.064
77ddfma0120 fma -91.6 5.29 0.153 -> -484.411
78
79-- cases where result is different from separate multiply + add; each
80-- is preceded by the result of unfused multiply and add
81-- [this is about 20% of all similar cases in general]
82-- -> 7.123356429257969E+16
83ddfma0201 fma 27583489.6645 2582471078.04 2593183.42371 -> 7.123356429257970E+16 Inexact Rounded
84-- -> 22813275328.80506
85ddfma0208 fma 24280.355566 939577.397653 2032.013252 -> 22813275328.80507 Inexact Rounded
86-- -> -2.030397734278062E+16
87ddfma0209 fma 7848976432 -2586831.2281 137903.517909 -> -2.030397734278061E+16 Inexact Rounded
88-- -> 2040774094814.077
89ddfma0217 fma 56890.388731 35872030.4255 339337.123410 -> 2040774094814.078 Inexact Rounded
90-- -> 2.714469575205049E+18
91ddfma0220 fma 7533543.57445 360317763928 5073392.31638 -> 2.714469575205050E+18 Inexact Rounded
92-- -> 1.011676297716716E+19
93ddfma0223 fma 739945255.563 13672312784.1 -994381.53572 -> 1.011676297716715E+19 Inexact Rounded
94-- -> -2.914135721455315E+23
95ddfma0224 fma -413510957218 704729988550 9234162614.0 -> -2.914135721455314E+23 Inexact Rounded
96-- -> 2.620119863365786E+17
97ddfma0226 fma 437484.00601 598906432790 894450638.442 -> 2.620119863365787E+17 Inexact Rounded
98-- -> 1.272647995808178E+19
99ddfma0253 fma 73287556929 173651305.784 -358312568.389 -> 1.272647995808177E+19 Inexact Rounded
100-- -> -1.753769320861851E+18
101ddfma0257 fma 203258304486 -8628278.8066 153127.446727 -> -1.753769320861850E+18 Inexact Rounded
102-- -> -1.550737835263346E+17
103ddfma0260 fma 42560533.1774 -3643605282.86 178277.96377 -> -1.550737835263347E+17 Inexact Rounded
104-- -> 2.897624620576005E+22
105ddfma0269 fma 142656587375 203118879670 604576103991 -> 2.897624620576004E+22 Inexact Rounded
106
107-- Cases where multiply would overflow or underflow if separate
108fma0300 fma 9e+384 10 0 -> Infinity Overflow Inexact Rounded
109fma0301 fma 1e+384 10 0 -> Infinity Overflow Inexact Rounded
110fma0302 fma 1e+384 10 -1e+384 -> 9.000000000000000E+384 Clamped
111fma0303 fma 1e+384 10 -9e+384 -> 1.000000000000000E+384 Clamped
112-- subnormal etc.
113fma0305 fma 1e-398 0.1 0 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped
114fma0306 fma 1e-398 0.1 1 -> 1.000000000000000 Inexact Rounded
115fma0307 fma 1e-398 0.1 1e-398 -> 1E-398 Underflow Subnormal Inexact Rounded
116
117-- Infinite combinations
118ddfma0800 fma Inf Inf Inf -> Infinity
119ddfma0801 fma Inf Inf -Inf -> NaN Invalid_operation
120ddfma0802 fma Inf -Inf Inf -> NaN Invalid_operation
121ddfma0803 fma Inf -Inf -Inf -> -Infinity
122ddfma0804 fma -Inf Inf Inf -> NaN Invalid_operation
123ddfma0805 fma -Inf Inf -Inf -> -Infinity
124ddfma0806 fma -Inf -Inf Inf -> Infinity
125ddfma0807 fma -Inf -Inf -Inf -> NaN Invalid_operation
126
127-- Triple NaN propagation
128ddfma0900 fma NaN2 NaN3 NaN5 -> NaN2
129ddfma0901 fma 0 NaN3 NaN5 -> NaN3
130ddfma0902 fma 0 0 NaN5 -> NaN5
131-- first sNaN wins (consider qNaN from earlier sNaN being
132-- overridden by an sNaN in third operand)
133ddfma0903 fma sNaN1 sNaN2 sNaN3 -> NaN1 Invalid_operation
134ddfma0904 fma 0 sNaN2 sNaN3 -> NaN2 Invalid_operation
135ddfma0905 fma 0 0 sNaN3 -> NaN3 Invalid_operation
136ddfma0906 fma sNaN1 sNaN2 sNaN3 -> NaN1 Invalid_operation
137ddfma0907 fma NaN7 sNaN2 sNaN3 -> NaN2 Invalid_operation
138ddfma0908 fma NaN7 NaN5 sNaN3 -> NaN3 Invalid_operation
139
140-- MULTIPLICATION TESTS ------------------------------------------------
141
142-- sanity checks
143ddfma2000 fma 2 2 0e+384 -> 4
144ddfma2001 fma 2 3 0e+384 -> 6
145ddfma2002 fma 5 1 0e+384 -> 5
146ddfma2003 fma 5 2 0e+384 -> 10
147ddfma2004 fma 1.20 2 0e+384 -> 2.40
148ddfma2005 fma 1.20 0 0e+384 -> 0.00
149ddfma2006 fma 1.20 -2 0e+384 -> -2.40
150ddfma2007 fma -1.20 2 0e+384 -> -2.40
151ddfma2008 fma -1.20 0 0e+384 -> 0.00
152ddfma2009 fma -1.20 -2 0e+384 -> 2.40
153ddfma2010 fma 5.09 7.1 0e+384 -> 36.139
154ddfma2011 fma 2.5 4 0e+384 -> 10.0
155ddfma2012 fma 2.50 4 0e+384 -> 10.00
156ddfma2013 fma 1.23456789 1.00000000 0e+384 -> 1.234567890000000 Rounded
157ddfma2015 fma 2.50 4 0e+384 -> 10.00
158ddfma2016 fma 9.999999999 9.999999999 0e+384 -> 99.99999998000000 Inexact Rounded
159ddfma2017 fma 9.999999999 -9.999999999 0e+384 -> -99.99999998000000 Inexact Rounded
160ddfma2018 fma -9.999999999 9.999999999 0e+384 -> -99.99999998000000 Inexact Rounded
161ddfma2019 fma -9.999999999 -9.999999999 0e+384 -> 99.99999998000000 Inexact Rounded
162
163-- zeros, etc.
164ddfma2021 fma 0 0 0e+384 -> 0
165ddfma2022 fma 0 -0 0e+384 -> 0
166ddfma2023 fma -0 0 0e+384 -> 0
167ddfma2024 fma -0 -0 0e+384 -> 0
168ddfma2025 fma -0.0 -0.0 0e+384 -> 0.00
169ddfma2026 fma -0.0 -0.0 0e+384 -> 0.00
170ddfma2027 fma -0.0 -0.0 0e+384 -> 0.00
171ddfma2028 fma -0.0 -0.0 0e+384 -> 0.00
172ddfma2030 fma 5.00 1E-3 0e+384 -> 0.00500
173ddfma2031 fma 00.00 0.000 0e+384 -> 0.00000
174ddfma2032 fma 00.00 0E-3 0e+384 -> 0.00000 -- rhs is 0
175ddfma2033 fma 0E-3 00.00 0e+384 -> 0.00000 -- lhs is 0
176ddfma2034 fma -5.00 1E-3 0e+384 -> -0.00500
177ddfma2035 fma -00.00 0.000 0e+384 -> 0.00000
178ddfma2036 fma -00.00 0E-3 0e+384 -> 0.00000 -- rhs is 0
179ddfma2037 fma -0E-3 00.00 0e+384 -> 0.00000 -- lhs is 0
180ddfma2038 fma 5.00 -1E-3 0e+384 -> -0.00500
181ddfma2039 fma 00.00 -0.000 0e+384 -> 0.00000
182ddfma2040 fma 00.00 -0E-3 0e+384 -> 0.00000 -- rhs is 0
183ddfma2041 fma 0E-3 -00.00 0e+384 -> 0.00000 -- lhs is 0
184ddfma2042 fma -5.00 -1E-3 0e+384 -> 0.00500
185ddfma2043 fma -00.00 -0.000 0e+384 -> 0.00000
186ddfma2044 fma -00.00 -0E-3 0e+384 -> 0.00000 -- rhs is 0
187ddfma2045 fma -0E-3 -00.00 -0e+384 -> 0.00000 -- lhs is 0
188ddfma2046 fma -0E-3 00.00 -0e+384 -> -0.00000
189ddfma2047 fma 0E-3 -00.00 -0e+384 -> -0.00000
190ddfma2048 fma 0E-3 00.00 -0e+384 -> 0.00000
191
192-- examples from decarith
193ddfma2050 fma 1.20 3 0e+384 -> 3.60
194ddfma2051 fma 7 3 0e+384 -> 21
195ddfma2052 fma 0.9 0.8 0e+384 -> 0.72
196ddfma2053 fma 0.9 -0 0e+384 -> 0.0
197ddfma2054 fma 654321 654321 0e+384 -> 428135971041
198
199ddfma2060 fma 123.45 1e7 0e+384 -> 1.2345E+9
200ddfma2061 fma 123.45 1e8 0e+384 -> 1.2345E+10
201ddfma2062 fma 123.45 1e+9 0e+384 -> 1.2345E+11
202ddfma2063 fma 123.45 1e10 0e+384 -> 1.2345E+12
203ddfma2064 fma 123.45 1e11 0e+384 -> 1.2345E+13
204ddfma2065 fma 123.45 1e12 0e+384 -> 1.2345E+14
205ddfma2066 fma 123.45 1e13 0e+384 -> 1.2345E+15
206
207
208-- test some intermediate lengths
209-- 1234567890123456
210ddfma2080 fma 0.1 1230123456456789 0e+384 -> 123012345645678.9
211ddfma2084 fma 0.1 1230123456456789 0e+384 -> 123012345645678.9
212ddfma2090 fma 1230123456456789 0.1 0e+384 -> 123012345645678.9
213ddfma2094 fma 1230123456456789 0.1 0e+384 -> 123012345645678.9
214
215-- test some more edge cases and carries
216ddfma2101 fma 9 9 0e+384 -> 81
217ddfma2102 fma 9 90 0e+384 -> 810
218ddfma2103 fma 9 900 0e+384 -> 8100
219ddfma2104 fma 9 9000 0e+384 -> 81000
220ddfma2105 fma 9 90000 0e+384 -> 810000
221ddfma2106 fma 9 900000 0e+384 -> 8100000
222ddfma2107 fma 9 9000000 0e+384 -> 81000000
223ddfma2108 fma 9 90000000 0e+384 -> 810000000
224ddfma2109 fma 9 900000000 0e+384 -> 8100000000
225ddfma2110 fma 9 9000000000 0e+384 -> 81000000000
226ddfma2111 fma 9 90000000000 0e+384 -> 810000000000
227ddfma2112 fma 9 900000000000 0e+384 -> 8100000000000
228ddfma2113 fma 9 9000000000000 0e+384 -> 81000000000000
229ddfma2114 fma 9 90000000000000 0e+384 -> 810000000000000
230ddfma2115 fma 9 900000000000000 0e+384 -> 8100000000000000
231--ddfma2116 fma 9 9000000000000000 0e+384 -> 81000000000000000
232--ddfma2117 fma 9 90000000000000000 0e+384 -> 810000000000000000
233--ddfma2118 fma 9 900000000000000000 0e+384 -> 8100000000000000000
234--ddfma2119 fma 9 9000000000000000000 0e+384 -> 81000000000000000000
235--ddfma2120 fma 9 90000000000000000000 0e+384 -> 810000000000000000000
236--ddfma2121 fma 9 900000000000000000000 0e+384 -> 8100000000000000000000
237--ddfma2122 fma 9 9000000000000000000000 0e+384 -> 81000000000000000000000
238--ddfma2123 fma 9 90000000000000000000000 0e+384 -> 810000000000000000000000
239-- test some more edge cases without carries
240ddfma2131 fma 3 3 0e+384 -> 9
241ddfma2132 fma 3 30 0e+384 -> 90
242ddfma2133 fma 3 300 0e+384 -> 900
243ddfma2134 fma 3 3000 0e+384 -> 9000
244ddfma2135 fma 3 30000 0e+384 -> 90000
245ddfma2136 fma 3 300000 0e+384 -> 900000
246ddfma2137 fma 3 3000000 0e+384 -> 9000000
247ddfma2138 fma 3 30000000 0e+384 -> 90000000
248ddfma2139 fma 3 300000000 0e+384 -> 900000000
249ddfma2140 fma 3 3000000000 0e+384 -> 9000000000
250ddfma2141 fma 3 30000000000 0e+384 -> 90000000000
251ddfma2142 fma 3 300000000000 0e+384 -> 900000000000
252ddfma2143 fma 3 3000000000000 0e+384 -> 9000000000000
253ddfma2144 fma 3 30000000000000 0e+384 -> 90000000000000
254ddfma2145 fma 3 300000000000000 0e+384 -> 900000000000000
255
256-- test some edge cases with exact rounding
257ddfma2301 fma 9 9 0e+384 -> 81
258ddfma2302 fma 9 90 0e+384 -> 810
259ddfma2303 fma 9 900 0e+384 -> 8100
260ddfma2304 fma 9 9000 0e+384 -> 81000
261ddfma2305 fma 9 90000 0e+384 -> 810000
262ddfma2306 fma 9 900000 0e+384 -> 8100000
263ddfma2307 fma 9 9000000 0e+384 -> 81000000
264ddfma2308 fma 9 90000000 0e+384 -> 810000000
265ddfma2309 fma 9 900000000 0e+384 -> 8100000000
266ddfma2310 fma 9 9000000000 0e+384 -> 81000000000
267ddfma2311 fma 9 90000000000 0e+384 -> 810000000000
268ddfma2312 fma 9 900000000000 0e+384 -> 8100000000000
269ddfma2313 fma 9 9000000000000 0e+384 -> 81000000000000
270ddfma2314 fma 9 90000000000000 0e+384 -> 810000000000000
271ddfma2315 fma 9 900000000000000 0e+384 -> 8100000000000000
272ddfma2316 fma 9 9000000000000000 0e+384 -> 8.100000000000000E+16 Rounded
273ddfma2317 fma 90 9000000000000000 0e+384 -> 8.100000000000000E+17 Rounded
274ddfma2318 fma 900 9000000000000000 0e+384 -> 8.100000000000000E+18 Rounded
275ddfma2319 fma 9000 9000000000000000 0e+384 -> 8.100000000000000E+19 Rounded
276ddfma2320 fma 90000 9000000000000000 0e+384 -> 8.100000000000000E+20 Rounded
277ddfma2321 fma 900000 9000000000000000 0e+384 -> 8.100000000000000E+21 Rounded
278ddfma2322 fma 9000000 9000000000000000 0e+384 -> 8.100000000000000E+22 Rounded
279ddfma2323 fma 90000000 9000000000000000 0e+384 -> 8.100000000000000E+23 Rounded
280
281-- tryzeros cases
282ddfma2504 fma 0E-260 1000E-260 0e+384 -> 0E-398 Clamped
283ddfma2505 fma 100E+260 0E+260 0e+384 -> 0E+369 Clamped
284
285-- mixed with zeros
286ddfma2541 fma 0 -1 0e+384 -> 0
287ddfma2542 fma -0 -1 0e+384 -> 0
288ddfma2543 fma 0 1 0e+384 -> 0
289ddfma2544 fma -0 1 0e+384 -> 0
290ddfma2545 fma -1 0 0e+384 -> 0
291ddfma2546 fma -1 -0 0e+384 -> 0
292ddfma2547 fma 1 0 0e+384 -> 0
293ddfma2548 fma 1 -0 0e+384 -> 0
294
295ddfma2551 fma 0.0 -1 0e+384 -> 0.0
296ddfma2552 fma -0.0 -1 0e+384 -> 0.0
297ddfma2553 fma 0.0 1 0e+384 -> 0.0
298ddfma2554 fma -0.0 1 0e+384 -> 0.0
299ddfma2555 fma -1.0 0 0e+384 -> 0.0
300ddfma2556 fma -1.0 -0 0e+384 -> 0.0
301ddfma2557 fma 1.0 0 0e+384 -> 0.0
302ddfma2558 fma 1.0 -0 0e+384 -> 0.0
303
304ddfma2561 fma 0 -1.0 0e+384 -> 0.0
305ddfma2562 fma -0 -1.0 0e+384 -> 0.0
306ddfma2563 fma 0 1.0 0e+384 -> 0.0
307ddfma2564 fma -0 1.0 0e+384 -> 0.0
308ddfma2565 fma -1 0.0 0e+384 -> 0.0
309ddfma2566 fma -1 -0.0 0e+384 -> 0.0
310ddfma2567 fma 1 0.0 0e+384 -> 0.0
311ddfma2568 fma 1 -0.0 0e+384 -> 0.0
312
313ddfma2571 fma 0.0 -1.0 0e+384 -> 0.00
314ddfma2572 fma -0.0 -1.0 0e+384 -> 0.00
315ddfma2573 fma 0.0 1.0 0e+384 -> 0.00
316ddfma2574 fma -0.0 1.0 0e+384 -> 0.00
317ddfma2575 fma -1.0 0.0 0e+384 -> 0.00
318ddfma2576 fma -1.0 -0.0 0e+384 -> 0.00
319ddfma2577 fma 1.0 0.0 0e+384 -> 0.00
320ddfma2578 fma 1.0 -0.0 0e+384 -> 0.00
321
322-- Specials
323ddfma2580 fma Inf -Inf 0e+384 -> -Infinity
324ddfma2581 fma Inf -1000 0e+384 -> -Infinity
325ddfma2582 fma Inf -1 0e+384 -> -Infinity
326ddfma2583 fma Inf -0 0e+384 -> NaN Invalid_operation
327ddfma2584 fma Inf 0 0e+384 -> NaN Invalid_operation
328ddfma2585 fma Inf 1 0e+384 -> Infinity
329ddfma2586 fma Inf 1000 0e+384 -> Infinity
330ddfma2587 fma Inf Inf 0e+384 -> Infinity
331ddfma2588 fma -1000 Inf 0e+384 -> -Infinity
332ddfma2589 fma -Inf Inf 0e+384 -> -Infinity
333ddfma2590 fma -1 Inf 0e+384 -> -Infinity
334ddfma2591 fma -0 Inf 0e+384 -> NaN Invalid_operation
335ddfma2592 fma 0 Inf 0e+384 -> NaN Invalid_operation
336ddfma2593 fma 1 Inf 0e+384 -> Infinity
337ddfma2594 fma 1000 Inf 0e+384 -> Infinity
338ddfma2595 fma Inf Inf 0e+384 -> Infinity
339
340ddfma2600 fma -Inf -Inf 0e+384 -> Infinity
341ddfma2601 fma -Inf -1000 0e+384 -> Infinity
342ddfma2602 fma -Inf -1 0e+384 -> Infinity
343ddfma2603 fma -Inf -0 0e+384 -> NaN Invalid_operation
344ddfma2604 fma -Inf 0 0e+384 -> NaN Invalid_operation
345ddfma2605 fma -Inf 1 0e+384 -> -Infinity
346ddfma2606 fma -Inf 1000 0e+384 -> -Infinity
347ddfma2607 fma -Inf Inf 0e+384 -> -Infinity
348ddfma2608 fma -1000 Inf 0e+384 -> -Infinity
349ddfma2609 fma -Inf -Inf 0e+384 -> Infinity
350ddfma2610 fma -1 -Inf 0e+384 -> Infinity
351ddfma2611 fma -0 -Inf 0e+384 -> NaN Invalid_operation
352ddfma2612 fma 0 -Inf 0e+384 -> NaN Invalid_operation
353ddfma2613 fma 1 -Inf 0e+384 -> -Infinity
354ddfma2614 fma 1000 -Inf 0e+384 -> -Infinity
355ddfma2615 fma Inf -Inf 0e+384 -> -Infinity
356
357ddfma2621 fma NaN -Inf 0e+384 -> NaN
358ddfma2622 fma NaN -1000 0e+384 -> NaN
359ddfma2623 fma NaN -1 0e+384 -> NaN
360ddfma2624 fma NaN -0 0e+384 -> NaN
361ddfma2625 fma NaN 0 0e+384 -> NaN
362ddfma2626 fma NaN 1 0e+384 -> NaN
363ddfma2627 fma NaN 1000 0e+384 -> NaN
364ddfma2628 fma NaN Inf 0e+384 -> NaN
365ddfma2629 fma NaN NaN 0e+384 -> NaN
366ddfma2630 fma -Inf NaN 0e+384 -> NaN
367ddfma2631 fma -1000 NaN 0e+384 -> NaN
368ddfma2632 fma -1 NaN 0e+384 -> NaN
369ddfma2633 fma -0 NaN 0e+384 -> NaN
370ddfma2634 fma 0 NaN 0e+384 -> NaN
371ddfma2635 fma 1 NaN 0e+384 -> NaN
372ddfma2636 fma 1000 NaN 0e+384 -> NaN
373ddfma2637 fma Inf NaN 0e+384 -> NaN
374
375ddfma2641 fma sNaN -Inf 0e+384 -> NaN Invalid_operation
376ddfma2642 fma sNaN -1000 0e+384 -> NaN Invalid_operation
377ddfma2643 fma sNaN -1 0e+384 -> NaN Invalid_operation
378ddfma2644 fma sNaN -0 0e+384 -> NaN Invalid_operation
379ddfma2645 fma sNaN 0 0e+384 -> NaN Invalid_operation
380ddfma2646 fma sNaN 1 0e+384 -> NaN Invalid_operation
381ddfma2647 fma sNaN 1000 0e+384 -> NaN Invalid_operation
382ddfma2648 fma sNaN NaN 0e+384 -> NaN Invalid_operation
383ddfma2649 fma sNaN sNaN 0e+384 -> NaN Invalid_operation
384ddfma2650 fma NaN sNaN 0e+384 -> NaN Invalid_operation
385ddfma2651 fma -Inf sNaN 0e+384 -> NaN Invalid_operation
386ddfma2652 fma -1000 sNaN 0e+384 -> NaN Invalid_operation
387ddfma2653 fma -1 sNaN 0e+384 -> NaN Invalid_operation
388ddfma2654 fma -0 sNaN 0e+384 -> NaN Invalid_operation
389ddfma2655 fma 0 sNaN 0e+384 -> NaN Invalid_operation
390ddfma2656 fma 1 sNaN 0e+384 -> NaN Invalid_operation
391ddfma2657 fma 1000 sNaN 0e+384 -> NaN Invalid_operation
392ddfma2658 fma Inf sNaN 0e+384 -> NaN Invalid_operation
393ddfma2659 fma NaN sNaN 0e+384 -> NaN Invalid_operation
394
395-- propagating NaNs
396ddfma2661 fma NaN9 -Inf 0e+384 -> NaN9
397ddfma2662 fma NaN8 999 0e+384 -> NaN8
398ddfma2663 fma NaN71 Inf 0e+384 -> NaN71
399ddfma2664 fma NaN6 NaN5 0e+384 -> NaN6
400ddfma2665 fma -Inf NaN4 0e+384 -> NaN4
401ddfma2666 fma -999 NaN33 0e+384 -> NaN33
402ddfma2667 fma Inf NaN2 0e+384 -> NaN2
403
404ddfma2671 fma sNaN99 -Inf 0e+384 -> NaN99 Invalid_operation
405ddfma2672 fma sNaN98 -11 0e+384 -> NaN98 Invalid_operation
406ddfma2673 fma sNaN97 NaN 0e+384 -> NaN97 Invalid_operation
407ddfma2674 fma sNaN16 sNaN94 0e+384 -> NaN16 Invalid_operation
408ddfma2675 fma NaN95 sNaN93 0e+384 -> NaN93 Invalid_operation
409ddfma2676 fma -Inf sNaN92 0e+384 -> NaN92 Invalid_operation
410ddfma2677 fma 088 sNaN91 0e+384 -> NaN91 Invalid_operation
411ddfma2678 fma Inf sNaN90 0e+384 -> NaN90 Invalid_operation
412ddfma2679 fma NaN sNaN89 0e+384 -> NaN89 Invalid_operation
413
414ddfma2681 fma -NaN9 -Inf 0e+384 -> -NaN9
415ddfma2682 fma -NaN8 999 0e+384 -> -NaN8
416ddfma2683 fma -NaN71 Inf 0e+384 -> -NaN71
417ddfma2684 fma -NaN6 -NaN5 0e+384 -> -NaN6
418ddfma2685 fma -Inf -NaN4 0e+384 -> -NaN4
419ddfma2686 fma -999 -NaN33 0e+384 -> -NaN33
420ddfma2687 fma Inf -NaN2 0e+384 -> -NaN2
421
422ddfma2691 fma -sNaN99 -Inf 0e+384 -> -NaN99 Invalid_operation
423ddfma2692 fma -sNaN98 -11 0e+384 -> -NaN98 Invalid_operation
424ddfma2693 fma -sNaN97 NaN 0e+384 -> -NaN97 Invalid_operation
425ddfma2694 fma -sNaN16 -sNaN94 0e+384 -> -NaN16 Invalid_operation
426ddfma2695 fma -NaN95 -sNaN93 0e+384 -> -NaN93 Invalid_operation
427ddfma2696 fma -Inf -sNaN92 0e+384 -> -NaN92 Invalid_operation
428ddfma2697 fma 088 -sNaN91 0e+384 -> -NaN91 Invalid_operation
429ddfma2698 fma Inf -sNaN90 0e+384 -> -NaN90 Invalid_operation
430ddfma2699 fma -NaN -sNaN89 0e+384 -> -NaN89 Invalid_operation
431
432ddfma2701 fma -NaN -Inf 0e+384 -> -NaN
433ddfma2702 fma -NaN 999 0e+384 -> -NaN
434ddfma2703 fma -NaN Inf 0e+384 -> -NaN
435ddfma2704 fma -NaN -NaN 0e+384 -> -NaN
436ddfma2705 fma -Inf -NaN0 0e+384 -> -NaN
437ddfma2706 fma -999 -NaN 0e+384 -> -NaN
438ddfma2707 fma Inf -NaN 0e+384 -> -NaN
439
440ddfma2711 fma -sNaN -Inf 0e+384 -> -NaN Invalid_operation
441ddfma2712 fma -sNaN -11 0e+384 -> -NaN Invalid_operation
442ddfma2713 fma -sNaN00 NaN 0e+384 -> -NaN Invalid_operation
443ddfma2714 fma -sNaN -sNaN 0e+384 -> -NaN Invalid_operation
444ddfma2715 fma -NaN -sNaN 0e+384 -> -NaN Invalid_operation
445ddfma2716 fma -Inf -sNaN 0e+384 -> -NaN Invalid_operation
446ddfma2717 fma 088 -sNaN 0e+384 -> -NaN Invalid_operation
447ddfma2718 fma Inf -sNaN 0e+384 -> -NaN Invalid_operation
448ddfma2719 fma -NaN -sNaN 0e+384 -> -NaN Invalid_operation
449
450-- overflow and underflow tests .. note subnormal results
451-- signs
452ddfma2751 fma 1e+277 1e+311 0e+384 -> Infinity Overflow Inexact Rounded
453ddfma2752 fma 1e+277 -1e+311 0e+384 -> -Infinity Overflow Inexact Rounded
454ddfma2753 fma -1e+277 1e+311 0e+384 -> -Infinity Overflow Inexact Rounded
455ddfma2754 fma -1e+277 -1e+311 0e+384 -> Infinity Overflow Inexact Rounded
456ddfma2755 fma 1e-277 1e-311 0e+384 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped
457ddfma2756 fma 1e-277 -1e-311 0e+384 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped
458ddfma2757 fma -1e-277 1e-311 0e+384 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped
459ddfma2758 fma -1e-277 -1e-311 0e+384 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped
460
461-- 'subnormal' boundary (all hard underflow or overflow in base arithemtic)
462ddfma2760 fma 1e-291 1e-101 0e+384 -> 1E-392 Subnormal
463ddfma2761 fma 1e-291 1e-102 0e+384 -> 1E-393 Subnormal
464ddfma2762 fma 1e-291 1e-103 0e+384 -> 1E-394 Subnormal
465ddfma2763 fma 1e-291 1e-104 0e+384 -> 1E-395 Subnormal
466ddfma2764 fma 1e-291 1e-105 0e+384 -> 1E-396 Subnormal
467ddfma2765 fma 1e-291 1e-106 0e+384 -> 1E-397 Subnormal
468ddfma2766 fma 1e-291 1e-107 0e+384 -> 1E-398 Subnormal
469ddfma2767 fma 1e-291 1e-108 0e+384 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped
470ddfma2768 fma 1e-291 1e-109 0e+384 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped
471ddfma2769 fma 1e-291 1e-110 0e+384 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped
472-- [no equivalent of 'subnormal' for overflow]
473ddfma2770 fma 1e+60 1e+321 0e+384 -> 1.000000000000E+381 Clamped
474ddfma2771 fma 1e+60 1e+322 0e+384 -> 1.0000000000000E+382 Clamped
475ddfma2772 fma 1e+60 1e+323 0e+384 -> 1.00000000000000E+383 Clamped
476ddfma2773 fma 1e+60 1e+324 0e+384 -> 1.000000000000000E+384 Clamped
477ddfma2774 fma 1e+60 1e+325 0e+384 -> Infinity Overflow Inexact Rounded
478ddfma2775 fma 1e+60 1e+326 0e+384 -> Infinity Overflow Inexact Rounded
479ddfma2776 fma 1e+60 1e+327 0e+384 -> Infinity Overflow Inexact Rounded
480ddfma2777 fma 1e+60 1e+328 0e+384 -> Infinity Overflow Inexact Rounded
481ddfma2778 fma 1e+60 1e+329 0e+384 -> Infinity Overflow Inexact Rounded
482ddfma2779 fma 1e+60 1e+330 0e+384 -> Infinity Overflow Inexact Rounded
483
484ddfma2801 fma 1.0000E-394 1 0e+384 -> 1.0000E-394 Subnormal
485ddfma2802 fma 1.000E-394 1e-1 0e+384 -> 1.000E-395 Subnormal
486ddfma2803 fma 1.00E-394 1e-2 0e+384 -> 1.00E-396 Subnormal
487ddfma2804 fma 1.0E-394 1e-3 0e+384 -> 1.0E-397 Subnormal
488ddfma2805 fma 1.0E-394 1e-4 0e+384 -> 1E-398 Subnormal Rounded
489ddfma2806 fma 1.3E-394 1e-4 0e+384 -> 1E-398 Underflow Subnormal Inexact Rounded
490ddfma2807 fma 1.5E-394 1e-4 0e+384 -> 2E-398 Underflow Subnormal Inexact Rounded
491ddfma2808 fma 1.7E-394 1e-4 0e+384 -> 2E-398 Underflow Subnormal Inexact Rounded
492ddfma2809 fma 2.3E-394 1e-4 0e+384 -> 2E-398 Underflow Subnormal Inexact Rounded
493ddfma2810 fma 2.5E-394 1e-4 0e+384 -> 2E-398 Underflow Subnormal Inexact Rounded
494ddfma2811 fma 2.7E-394 1e-4 0e+384 -> 3E-398 Underflow Subnormal Inexact Rounded
495ddfma2812 fma 1.49E-394 1e-4 0e+384 -> 1E-398 Underflow Subnormal Inexact Rounded
496ddfma2813 fma 1.50E-394 1e-4 0e+384 -> 2E-398 Underflow Subnormal Inexact Rounded
497ddfma2814 fma 1.51E-394 1e-4 0e+384 -> 2E-398 Underflow Subnormal Inexact Rounded
498ddfma2815 fma 2.49E-394 1e-4 0e+384 -> 2E-398 Underflow Subnormal Inexact Rounded
499ddfma2816 fma 2.50E-394 1e-4 0e+384 -> 2E-398 Underflow Subnormal Inexact Rounded
500ddfma2817 fma 2.51E-394 1e-4 0e+384 -> 3E-398 Underflow Subnormal Inexact Rounded
501
502ddfma2818 fma 1E-394 1e-4 0e+384 -> 1E-398 Subnormal
503ddfma2819 fma 3E-394 1e-5 0e+384 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped
504ddfma2820 fma 5E-394 1e-5 0e+384 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped
505ddfma2821 fma 7E-394 1e-5 0e+384 -> 1E-398 Underflow Subnormal Inexact Rounded
506ddfma2822 fma 9E-394 1e-5 0e+384 -> 1E-398 Underflow Subnormal Inexact Rounded
507ddfma2823 fma 9.9E-394 1e-5 0e+384 -> 1E-398 Underflow Subnormal Inexact Rounded
508
509ddfma2824 fma 1E-394 -1e-4 0e+384 -> -1E-398 Subnormal
510ddfma2825 fma 3E-394 -1e-5 0e+384 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped
511ddfma2826 fma -5E-394 1e-5 0e+384 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped
512ddfma2827 fma 7E-394 -1e-5 0e+384 -> -1E-398 Underflow Subnormal Inexact Rounded
513ddfma2828 fma -9E-394 1e-5 0e+384 -> -1E-398 Underflow Subnormal Inexact Rounded
514ddfma2829 fma 9.9E-394 -1e-5 0e+384 -> -1E-398 Underflow Subnormal Inexact Rounded
515ddfma2830 fma 3.0E-394 -1e-5 0e+384 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped
516
517ddfma2831 fma 1.0E-199 1e-200 0e+384 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped
518ddfma2832 fma 1.0E-199 1e-199 0e+384 -> 1E-398 Subnormal Rounded
519ddfma2833 fma 1.0E-199 1e-198 0e+384 -> 1.0E-397 Subnormal
520ddfma2834 fma 2.0E-199 2e-198 0e+384 -> 4.0E-397 Subnormal
521ddfma2835 fma 4.0E-199 4e-198 0e+384 -> 1.60E-396 Subnormal
522ddfma2836 fma 10.0E-199 10e-198 0e+384 -> 1.000E-395 Subnormal
523ddfma2837 fma 30.0E-199 30e-198 0e+384 -> 9.000E-395 Subnormal
524ddfma2838 fma 40.0E-199 40e-188 0e+384 -> 1.6000E-384 Subnormal
525ddfma2839 fma 40.0E-199 40e-187 0e+384 -> 1.6000E-383
526ddfma2840 fma 40.0E-199 40e-186 0e+384 -> 1.6000E-382
527
528-- Long operand overflow may be a different path
529ddfma2870 fma 100 9.999E+383 0e+384 -> Infinity Inexact Overflow Rounded
530ddfma2871 fma 100 -9.999E+383 0e+384 -> -Infinity Inexact Overflow Rounded
531ddfma2872 fma 9.999E+383 100 0e+384 -> Infinity Inexact Overflow Rounded
532ddfma2873 fma -9.999E+383 100 0e+384 -> -Infinity Inexact Overflow Rounded
533
534-- check for double-rounded subnormals
535ddfma2881 fma 1.2347E-355 1.2347E-40 0e+384 -> 1.524E-395 Inexact Rounded Subnormal Underflow
536ddfma2882 fma 1.234E-355 1.234E-40 0e+384 -> 1.523E-395 Inexact Rounded Subnormal Underflow
537ddfma2883 fma 1.23E-355 1.23E-40 0e+384 -> 1.513E-395 Inexact Rounded Subnormal Underflow
538ddfma2884 fma 1.2E-355 1.2E-40 0e+384 -> 1.44E-395 Subnormal
539ddfma2885 fma 1.2E-355 1.2E-41 0e+384 -> 1.44E-396 Subnormal
540ddfma2886 fma 1.2E-355 1.2E-42 0e+384 -> 1.4E-397 Subnormal Inexact Rounded Underflow
541ddfma2887 fma 1.2E-355 1.3E-42 0e+384 -> 1.6E-397 Subnormal Inexact Rounded Underflow
542ddfma2888 fma 1.3E-355 1.3E-42 0e+384 -> 1.7E-397 Subnormal Inexact Rounded Underflow
543ddfma2889 fma 1.3E-355 1.3E-43 0e+384 -> 2E-398 Subnormal Inexact Rounded Underflow
544ddfma2890 fma 1.3E-356 1.3E-43 0e+384 -> 0E-398 Clamped Subnormal Inexact Rounded Underflow
545
546ddfma2891 fma 1.2345E-39 1.234E-355 0e+384 -> 1.5234E-394 Inexact Rounded Subnormal Underflow
547ddfma2892 fma 1.23456E-39 1.234E-355 0e+384 -> 1.5234E-394 Inexact Rounded Subnormal Underflow
548ddfma2893 fma 1.2345E-40 1.234E-355 0e+384 -> 1.523E-395 Inexact Rounded Subnormal Underflow
549ddfma2894 fma 1.23456E-40 1.234E-355 0e+384 -> 1.523E-395 Inexact Rounded Subnormal Underflow
550ddfma2895 fma 1.2345E-41 1.234E-355 0e+384 -> 1.52E-396 Inexact Rounded Subnormal Underflow
551ddfma2896 fma 1.23456E-41 1.234E-355 0e+384 -> 1.52E-396 Inexact Rounded Subnormal Underflow
552
553-- Now explore the case where we get a normal result with Underflow
554ddfma2900 fma 0.3000000000E-191 0.3000000000E-191 0e+384 -> 9.00000000000000E-384 Subnormal Rounded
555ddfma2901 fma 0.3000000001E-191 0.3000000001E-191 0e+384 -> 9.00000000600000E-384 Underflow Inexact Subnormal Rounded
556ddfma2902 fma 9.999999999999999E-383 0.0999999999999 0e+384 -> 9.99999999999000E-384 Underflow Inexact Subnormal Rounded
557ddfma2903 fma 9.999999999999999E-383 0.09999999999999 0e+384 -> 9.99999999999900E-384 Underflow Inexact Subnormal Rounded
558ddfma2904 fma 9.999999999999999E-383 0.099999999999999 0e+384 -> 9.99999999999990E-384 Underflow Inexact Subnormal Rounded
559ddfma2905 fma 9.999999999999999E-383 0.0999999999999999 0e+384 -> 9.99999999999999E-384 Underflow Inexact Subnormal Rounded
560-- prove operands are exact
561ddfma2906 fma 9.999999999999999E-383 1 0e+384 -> 9.999999999999999E-383
562ddfma2907 fma 1 0.09999999999999999 0e+384 -> 0.09999999999999999
563-- the next rounds to Nmin
564ddfma2908 fma 9.999999999999999E-383 0.09999999999999999 0e+384 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
565
566-- hugest
567ddfma2909 fma 9999999999999999 9999999999999999 0e+384 -> 9.999999999999998E+31 Inexact Rounded
568
569-- Null tests
570ddfma2990 fma 10 # 0e+384 -> NaN Invalid_operation
571ddfma2991 fma # 10 0e+384 -> NaN Invalid_operation
572
573
574-- ADDITION TESTS ------------------------------------------------------
575
576-- [first group are 'quick confidence check']
577ddfma3001 fma 1 1 1 -> 2
578ddfma3002 fma 1 2 3 -> 5
579ddfma3003 fma 1 '5.75' '3.3' -> 9.05
580ddfma3004 fma 1 '5' '-3' -> 2
581ddfma3005 fma 1 '-5' '-3' -> -8
582ddfma3006 fma 1 '-7' '2.5' -> -4.5
583ddfma3007 fma 1 '0.7' '0.3' -> 1.0
584ddfma3008 fma 1 '1.25' '1.25' -> 2.50
585ddfma3009 fma 1 '1.23456789' '1.00000000' -> '2.23456789'
586ddfma3010 fma 1 '1.23456789' '1.00000011' -> '2.23456800'
587
588-- 1234567890123456 1234567890123456
589ddfma3011 fma 1 '0.4444444444444446' '0.5555555555555555' -> '1.000000000000000' Inexact Rounded
590ddfma3012 fma 1 '0.4444444444444445' '0.5555555555555555' -> '1.000000000000000' Rounded
591ddfma3013 fma 1 '0.4444444444444444' '0.5555555555555555' -> '0.9999999999999999'
592ddfma3014 fma 1 '4444444444444444' '0.49' -> '4444444444444444' Inexact Rounded
593ddfma3015 fma 1 '4444444444444444' '0.499' -> '4444444444444444' Inexact Rounded
594ddfma3016 fma 1 '4444444444444444' '0.4999' -> '4444444444444444' Inexact Rounded
595ddfma3017 fma 1 '4444444444444444' '0.5000' -> '4444444444444444' Inexact Rounded
596ddfma3018 fma 1 '4444444444444444' '0.5001' -> '4444444444444445' Inexact Rounded
597ddfma3019 fma 1 '4444444444444444' '0.501' -> '4444444444444445' Inexact Rounded
598ddfma3020 fma 1 '4444444444444444' '0.51' -> '4444444444444445' Inexact Rounded
599
600ddfma3021 fma 1 0 1 -> 1
601ddfma3022 fma 1 1 1 -> 2
602ddfma3023 fma 1 2 1 -> 3
603ddfma3024 fma 1 3 1 -> 4
604ddfma3025 fma 1 4 1 -> 5
605ddfma3026 fma 1 5 1 -> 6
606ddfma3027 fma 1 6 1 -> 7
607ddfma3028 fma 1 7 1 -> 8
608ddfma3029 fma 1 8 1 -> 9
609ddfma3030 fma 1 9 1 -> 10
610
611-- some carrying effects
612ddfma3031 fma 1 '0.9998' '0.0000' -> '0.9998'
613ddfma3032 fma 1 '0.9998' '0.0001' -> '0.9999'
614ddfma3033 fma 1 '0.9998' '0.0002' -> '1.0000'
615ddfma3034 fma 1 '0.9998' '0.0003' -> '1.0001'
616
617ddfma3035 fma 1 '70' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded
618ddfma3036 fma 1 '700' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded
619ddfma3037 fma 1 '7000' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded
620ddfma3038 fma 1 '70000' '10000e+16' -> '1.000000000000001E+20' Inexact Rounded
621ddfma3039 fma 1 '700000' '10000e+16' -> '1.000000000000007E+20' Rounded
622
623-- symmetry:
624ddfma3040 fma 1 '10000e+16' '70' -> '1.000000000000000E+20' Inexact Rounded
625ddfma3041 fma 1 '10000e+16' '700' -> '1.000000000000000E+20' Inexact Rounded
626ddfma3042 fma 1 '10000e+16' '7000' -> '1.000000000000000E+20' Inexact Rounded
627ddfma3044 fma 1 '10000e+16' '70000' -> '1.000000000000001E+20' Inexact Rounded
628ddfma3045 fma 1 '10000e+16' '700000' -> '1.000000000000007E+20' Rounded
629
630-- same, without rounding
631ddfma3046 fma 1 '10000e+9' '7' -> '10000000000007'
632ddfma3047 fma 1 '10000e+9' '70' -> '10000000000070'
633ddfma3048 fma 1 '10000e+9' '700' -> '10000000000700'
634ddfma3049 fma 1 '10000e+9' '7000' -> '10000000007000'
635ddfma3050 fma 1 '10000e+9' '70000' -> '10000000070000'
636ddfma3051 fma 1 '10000e+9' '700000' -> '10000000700000'
637ddfma3052 fma 1 '10000e+9' '7000000' -> '10000007000000'
638
639-- examples from decarith
640ddfma3053 fma 1 '12' '7.00' -> '19.00'
641ddfma3054 fma 1 '1.3' '-1.07' -> '0.23'
642ddfma3055 fma 1 '1.3' '-1.30' -> '0.00'
643ddfma3056 fma 1 '1.3' '-2.07' -> '-0.77'
644ddfma3057 fma 1 '1E+2' '1E+4' -> '1.01E+4'
645
646-- leading zero preservation
647ddfma3061 fma 1 1 '0.0001' -> '1.0001'
648ddfma3062 fma 1 1 '0.00001' -> '1.00001'
649ddfma3063 fma 1 1 '0.000001' -> '1.000001'
650ddfma3064 fma 1 1 '0.0000001' -> '1.0000001'
651ddfma3065 fma 1 1 '0.00000001' -> '1.00000001'
652
653-- some funny zeros [in case of bad signum]
654ddfma3070 fma 1 1 0 -> 1
655ddfma3071 fma 1 1 0. -> 1
656ddfma3072 fma 1 1 .0 -> 1.0
657ddfma3073 fma 1 1 0.0 -> 1.0
658ddfma3074 fma 1 1 0.00 -> 1.00
659ddfma3075 fma 1 0 1 -> 1
660ddfma3076 fma 1 0. 1 -> 1
661ddfma3077 fma 1 .0 1 -> 1.0
662ddfma3078 fma 1 0.0 1 -> 1.0
663ddfma3079 fma 1 0.00 1 -> 1.00
664
665-- some carries
666ddfma3080 fma 1 999999998 1 -> 999999999
667ddfma3081 fma 1 999999999 1 -> 1000000000
668ddfma3082 fma 1 99999999 1 -> 100000000
669ddfma3083 fma 1 9999999 1 -> 10000000
670ddfma3084 fma 1 999999 1 -> 1000000
671ddfma3085 fma 1 99999 1 -> 100000
672ddfma3086 fma 1 9999 1 -> 10000
673ddfma3087 fma 1 999 1 -> 1000
674ddfma3088 fma 1 99 1 -> 100
675ddfma3089 fma 1 9 1 -> 10
676
677
678-- more LHS swaps
679ddfma3090 fma 1 '-56267E-10' 0 -> '-0.0000056267'
680ddfma3091 fma 1 '-56267E-6' 0 -> '-0.056267'
681ddfma3092 fma 1 '-56267E-5' 0 -> '-0.56267'
682ddfma3093 fma 1 '-56267E-4' 0 -> '-5.6267'
683ddfma3094 fma 1 '-56267E-3' 0 -> '-56.267'
684ddfma3095 fma 1 '-56267E-2' 0 -> '-562.67'
685ddfma3096 fma 1 '-56267E-1' 0 -> '-5626.7'
686ddfma3097 fma 1 '-56267E-0' 0 -> '-56267'
687ddfma3098 fma 1 '-5E-10' 0 -> '-5E-10'
688ddfma3099 fma 1 '-5E-7' 0 -> '-5E-7'
689ddfma3100 fma 1 '-5E-6' 0 -> '-0.000005'
690ddfma3101 fma 1 '-5E-5' 0 -> '-0.00005'
691ddfma3102 fma 1 '-5E-4' 0 -> '-0.0005'
692ddfma3103 fma 1 '-5E-1' 0 -> '-0.5'
693ddfma3104 fma 1 '-5E0' 0 -> '-5'
694ddfma3105 fma 1 '-5E1' 0 -> '-50'
695ddfma3106 fma 1 '-5E5' 0 -> '-500000'
696ddfma3107 fma 1 '-5E15' 0 -> '-5000000000000000'
697ddfma3108 fma 1 '-5E16' 0 -> '-5.000000000000000E+16' Rounded
698ddfma3109 fma 1 '-5E17' 0 -> '-5.000000000000000E+17' Rounded
699ddfma3110 fma 1 '-5E18' 0 -> '-5.000000000000000E+18' Rounded
700ddfma3111 fma 1 '-5E100' 0 -> '-5.000000000000000E+100' Rounded
701
702-- more RHS swaps
703ddfma3113 fma 1 0 '-56267E-10' -> '-0.0000056267'
704ddfma3114 fma 1 0 '-56267E-6' -> '-0.056267'
705ddfma3116 fma 1 0 '-56267E-5' -> '-0.56267'
706ddfma3117 fma 1 0 '-56267E-4' -> '-5.6267'
707ddfma3119 fma 1 0 '-56267E-3' -> '-56.267'
708ddfma3120 fma 1 0 '-56267E-2' -> '-562.67'
709ddfma3121 fma 1 0 '-56267E-1' -> '-5626.7'
710ddfma3122 fma 1 0 '-56267E-0' -> '-56267'
711ddfma3123 fma 1 0 '-5E-10' -> '-5E-10'
712ddfma3124 fma 1 0 '-5E-7' -> '-5E-7'
713ddfma3125 fma 1 0 '-5E-6' -> '-0.000005'
714ddfma3126 fma 1 0 '-5E-5' -> '-0.00005'
715ddfma3127 fma 1 0 '-5E-4' -> '-0.0005'
716ddfma3128 fma 1 0 '-5E-1' -> '-0.5'
717ddfma3129 fma 1 0 '-5E0' -> '-5'
718ddfma3130 fma 1 0 '-5E1' -> '-50'
719ddfma3131 fma 1 0 '-5E5' -> '-500000'
720ddfma3132 fma 1 0 '-5E15' -> '-5000000000000000'
721ddfma3133 fma 1 0 '-5E16' -> '-5.000000000000000E+16' Rounded
722ddfma3134 fma 1 0 '-5E17' -> '-5.000000000000000E+17' Rounded
723ddfma3135 fma 1 0 '-5E18' -> '-5.000000000000000E+18' Rounded
724ddfma3136 fma 1 0 '-5E100' -> '-5.000000000000000E+100' Rounded
725
726-- related
727ddfma3137 fma 1 1 '0E-19' -> '1.000000000000000' Rounded
728ddfma3138 fma 1 -1 '0E-19' -> '-1.000000000000000' Rounded
729ddfma3139 fma 1 '0E-19' 1 -> '1.000000000000000' Rounded
730ddfma3140 fma 1 '0E-19' -1 -> '-1.000000000000000' Rounded
731ddfma3141 fma 1 1E+11 0.0000 -> '100000000000.0000'
732ddfma3142 fma 1 1E+11 0.00000 -> '100000000000.0000' Rounded
733ddfma3143 fma 1 0.000 1E+12 -> '1000000000000.000'
734ddfma3144 fma 1 0.0000 1E+12 -> '1000000000000.000' Rounded
735
736-- [some of the next group are really constructor tests]
737ddfma3146 fma 1 '00.0' 0 -> '0.0'
738ddfma3147 fma 1 '0.00' 0 -> '0.00'
739ddfma3148 fma 1 0 '0.00' -> '0.00'
740ddfma3149 fma 1 0 '00.0' -> '0.0'
741ddfma3150 fma 1 '00.0' '0.00' -> '0.00'
742ddfma3151 fma 1 '0.00' '00.0' -> '0.00'
743ddfma3152 fma 1 '3' '.3' -> '3.3'
744ddfma3153 fma 1 '3.' '.3' -> '3.3'
745ddfma3154 fma 1 '3.0' '.3' -> '3.3'
746ddfma3155 fma 1 '3.00' '.3' -> '3.30'
747ddfma3156 fma 1 '3' '3' -> '6'
748ddfma3157 fma 1 '3' '+3' -> '6'
749ddfma3158 fma 1 '3' '-3' -> '0'
750ddfma3159 fma 1 '0.3' '-0.3' -> '0.0'
751ddfma3160 fma 1 '0.03' '-0.03' -> '0.00'
752
753-- try borderline precision, with carries, etc.
754ddfma3161 fma 1 '1E+12' '-1' -> '999999999999'
755ddfma3162 fma 1 '1E+12' '1.11' -> '1000000000001.11'
756ddfma3163 fma 1 '1.11' '1E+12' -> '1000000000001.11'
757ddfma3164 fma 1 '-1' '1E+12' -> '999999999999'
758ddfma3165 fma 1 '7E+12' '-1' -> '6999999999999'
759ddfma3166 fma 1 '7E+12' '1.11' -> '7000000000001.11'
760ddfma3167 fma 1 '1.11' '7E+12' -> '7000000000001.11'
761ddfma3168 fma 1 '-1' '7E+12' -> '6999999999999'
762
763rounding: half_up
764-- 1.234567890123456 1234567890123456 1 234567890123456
765ddfma3170 fma 1 '4.444444444444444' '0.5555555555555567' -> '5.000000000000001' Inexact Rounded
766ddfma3171 fma 1 '4.444444444444444' '0.5555555555555566' -> '5.000000000000001' Inexact Rounded
767ddfma3172 fma 1 '4.444444444444444' '0.5555555555555565' -> '5.000000000000001' Inexact Rounded
768ddfma3173 fma 1 '4.444444444444444' '0.5555555555555564' -> '5.000000000000000' Inexact Rounded
769ddfma3174 fma 1 '4.444444444444444' '0.5555555555555553' -> '4.999999999999999' Inexact Rounded
770ddfma3175 fma 1 '4.444444444444444' '0.5555555555555552' -> '4.999999999999999' Inexact Rounded
771ddfma3176 fma 1 '4.444444444444444' '0.5555555555555551' -> '4.999999999999999' Inexact Rounded
772ddfma3177 fma 1 '4.444444444444444' '0.5555555555555550' -> '4.999999999999999' Rounded
773ddfma3178 fma 1 '4.444444444444444' '0.5555555555555545' -> '4.999999999999999' Inexact Rounded
774ddfma3179 fma 1 '4.444444444444444' '0.5555555555555544' -> '4.999999999999998' Inexact Rounded
775ddfma3180 fma 1 '4.444444444444444' '0.5555555555555543' -> '4.999999999999998' Inexact Rounded
776ddfma3181 fma 1 '4.444444444444444' '0.5555555555555542' -> '4.999999999999998' Inexact Rounded
777ddfma3182 fma 1 '4.444444444444444' '0.5555555555555541' -> '4.999999999999998' Inexact Rounded
778ddfma3183 fma 1 '4.444444444444444' '0.5555555555555540' -> '4.999999999999998' Rounded
779
780-- and some more, including residue effects and different roundings
781rounding: half_up
782ddfma3200 fma 1 '1234560123456789' 0 -> '1234560123456789'
783ddfma3201 fma 1 '1234560123456789' 0.000000001 -> '1234560123456789' Inexact Rounded
784ddfma3202 fma 1 '1234560123456789' 0.000001 -> '1234560123456789' Inexact Rounded
785ddfma3203 fma 1 '1234560123456789' 0.1 -> '1234560123456789' Inexact Rounded
786ddfma3204 fma 1 '1234560123456789' 0.4 -> '1234560123456789' Inexact Rounded
787ddfma3205 fma 1 '1234560123456789' 0.49 -> '1234560123456789' Inexact Rounded
788ddfma3206 fma 1 '1234560123456789' 0.499999 -> '1234560123456789' Inexact Rounded
789ddfma3207 fma 1 '1234560123456789' 0.499999999 -> '1234560123456789' Inexact Rounded
790ddfma3208 fma 1 '1234560123456789' 0.5 -> '1234560123456790' Inexact Rounded
791ddfma3209 fma 1 '1234560123456789' 0.500000001 -> '1234560123456790' Inexact Rounded
792ddfma3210 fma 1 '1234560123456789' 0.500001 -> '1234560123456790' Inexact Rounded
793ddfma3211 fma 1 '1234560123456789' 0.51 -> '1234560123456790' Inexact Rounded
794ddfma3212 fma 1 '1234560123456789' 0.6 -> '1234560123456790' Inexact Rounded
795ddfma3213 fma 1 '1234560123456789' 0.9 -> '1234560123456790' Inexact Rounded
796ddfma3214 fma 1 '1234560123456789' 0.99999 -> '1234560123456790' Inexact Rounded
797ddfma3215 fma 1 '1234560123456789' 0.999999999 -> '1234560123456790' Inexact Rounded
798ddfma3216 fma 1 '1234560123456789' 1 -> '1234560123456790'
799ddfma3217 fma 1 '1234560123456789' 1.000000001 -> '1234560123456790' Inexact Rounded
800ddfma3218 fma 1 '1234560123456789' 1.00001 -> '1234560123456790' Inexact Rounded
801ddfma3219 fma 1 '1234560123456789' 1.1 -> '1234560123456790' Inexact Rounded
802
803rounding: half_even
804ddfma3220 fma 1 '1234560123456789' 0 -> '1234560123456789'
805ddfma3221 fma 1 '1234560123456789' 0.000000001 -> '1234560123456789' Inexact Rounded
806ddfma3222 fma 1 '1234560123456789' 0.000001 -> '1234560123456789' Inexact Rounded
807ddfma3223 fma 1 '1234560123456789' 0.1 -> '1234560123456789' Inexact Rounded
808ddfma3224 fma 1 '1234560123456789' 0.4 -> '1234560123456789' Inexact Rounded
809ddfma3225 fma 1 '1234560123456789' 0.49 -> '1234560123456789' Inexact Rounded
810ddfma3226 fma 1 '1234560123456789' 0.499999 -> '1234560123456789' Inexact Rounded
811ddfma3227 fma 1 '1234560123456789' 0.499999999 -> '1234560123456789' Inexact Rounded
812ddfma3228 fma 1 '1234560123456789' 0.5 -> '1234560123456790' Inexact Rounded
813ddfma3229 fma 1 '1234560123456789' 0.500000001 -> '1234560123456790' Inexact Rounded
814ddfma3230 fma 1 '1234560123456789' 0.500001 -> '1234560123456790' Inexact Rounded
815ddfma3231 fma 1 '1234560123456789' 0.51 -> '1234560123456790' Inexact Rounded
816ddfma3232 fma 1 '1234560123456789' 0.6 -> '1234560123456790' Inexact Rounded
817ddfma3233 fma 1 '1234560123456789' 0.9 -> '1234560123456790' Inexact Rounded
818ddfma3234 fma 1 '1234560123456789' 0.99999 -> '1234560123456790' Inexact Rounded
819ddfma3235 fma 1 '1234560123456789' 0.999999999 -> '1234560123456790' Inexact Rounded
820ddfma3236 fma 1 '1234560123456789' 1 -> '1234560123456790'
821ddfma3237 fma 1 '1234560123456789' 1.00000001 -> '1234560123456790' Inexact Rounded
822ddfma3238 fma 1 '1234560123456789' 1.00001 -> '1234560123456790' Inexact Rounded
823ddfma3239 fma 1 '1234560123456789' 1.1 -> '1234560123456790' Inexact Rounded
824-- critical few with even bottom digit...
825ddfma3240 fma 1 '1234560123456788' 0.499999999 -> '1234560123456788' Inexact Rounded
826ddfma3241 fma 1 '1234560123456788' 0.5 -> '1234560123456788' Inexact Rounded
827ddfma3242 fma 1 '1234560123456788' 0.500000001 -> '1234560123456789' Inexact Rounded
828
829rounding: down
830ddfma3250 fma 1 '1234560123456789' 0 -> '1234560123456789'
831ddfma3251 fma 1 '1234560123456789' 0.000000001 -> '1234560123456789' Inexact Rounded
832ddfma3252 fma 1 '1234560123456789' 0.000001 -> '1234560123456789' Inexact Rounded
833ddfma3253 fma 1 '1234560123456789' 0.1 -> '1234560123456789' Inexact Rounded
834ddfma3254 fma 1 '1234560123456789' 0.4 -> '1234560123456789' Inexact Rounded
835ddfma3255 fma 1 '1234560123456789' 0.49 -> '1234560123456789' Inexact Rounded
836ddfma3256 fma 1 '1234560123456789' 0.499999 -> '1234560123456789' Inexact Rounded
837ddfma3257 fma 1 '1234560123456789' 0.499999999 -> '1234560123456789' Inexact Rounded
838ddfma3258 fma 1 '1234560123456789' 0.5 -> '1234560123456789' Inexact Rounded
839ddfma3259 fma 1 '1234560123456789' 0.500000001 -> '1234560123456789' Inexact Rounded
840ddfma3260 fma 1 '1234560123456789' 0.500001 -> '1234560123456789' Inexact Rounded
841ddfma3261 fma 1 '1234560123456789' 0.51 -> '1234560123456789' Inexact Rounded
842ddfma3262 fma 1 '1234560123456789' 0.6 -> '1234560123456789' Inexact Rounded
843ddfma3263 fma 1 '1234560123456789' 0.9 -> '1234560123456789' Inexact Rounded
844ddfma3264 fma 1 '1234560123456789' 0.99999 -> '1234560123456789' Inexact Rounded
845ddfma3265 fma 1 '1234560123456789' 0.999999999 -> '1234560123456789' Inexact Rounded
846ddfma3266 fma 1 '1234560123456789' 1 -> '1234560123456790'
847ddfma3267 fma 1 '1234560123456789' 1.00000001 -> '1234560123456790' Inexact Rounded
848ddfma3268 fma 1 '1234560123456789' 1.00001 -> '1234560123456790' Inexact Rounded
849ddfma3269 fma 1 '1234560123456789' 1.1 -> '1234560123456790' Inexact Rounded
850
851-- 1 in last place tests
852rounding: half_up
853ddfma3301 fma 1 -1 1 -> 0
854ddfma3302 fma 1 0 1 -> 1
855ddfma3303 fma 1 1 1 -> 2
856ddfma3304 fma 1 12 1 -> 13
857ddfma3305 fma 1 98 1 -> 99
858ddfma3306 fma 1 99 1 -> 100
859ddfma3307 fma 1 100 1 -> 101
860ddfma3308 fma 1 101 1 -> 102
861ddfma3309 fma 1 -1 -1 -> -2
862ddfma3310 fma 1 0 -1 -> -1
863ddfma3311 fma 1 1 -1 -> 0
864ddfma3312 fma 1 12 -1 -> 11
865ddfma3313 fma 1 98 -1 -> 97
866ddfma3314 fma 1 99 -1 -> 98
867ddfma3315 fma 1 100 -1 -> 99
868ddfma3316 fma 1 101 -1 -> 100
869
870ddfma3321 fma 1 -0.01 0.01 -> 0.00
871ddfma3322 fma 1 0.00 0.01 -> 0.01
872ddfma3323 fma 1 0.01 0.01 -> 0.02
873ddfma3324 fma 1 0.12 0.01 -> 0.13
874ddfma3325 fma 1 0.98 0.01 -> 0.99
875ddfma3326 fma 1 0.99 0.01 -> 1.00
876ddfma3327 fma 1 1.00 0.01 -> 1.01
877ddfma3328 fma 1 1.01 0.01 -> 1.02
878ddfma3329 fma 1 -0.01 -0.01 -> -0.02
879ddfma3330 fma 1 0.00 -0.01 -> -0.01
880ddfma3331 fma 1 0.01 -0.01 -> 0.00
881ddfma3332 fma 1 0.12 -0.01 -> 0.11
882ddfma3333 fma 1 0.98 -0.01 -> 0.97
883ddfma3334 fma 1 0.99 -0.01 -> 0.98
884ddfma3335 fma 1 1.00 -0.01 -> 0.99
885ddfma3336 fma 1 1.01 -0.01 -> 1.00
886
887-- some more cases where adding 0 affects the coefficient
888ddfma3340 fma 1 1E+3 0 -> 1000
889ddfma3341 fma 1 1E+15 0 -> 1000000000000000
890ddfma3342 fma 1 1E+16 0 -> 1.000000000000000E+16 Rounded
891ddfma3343 fma 1 1E+20 0 -> 1.000000000000000E+20 Rounded
892-- which simply follow from these cases ...
893ddfma3344 fma 1 1E+3 1 -> 1001
894ddfma3345 fma 1 1E+15 1 -> 1000000000000001
895ddfma3346 fma 1 1E+16 1 -> 1.000000000000000E+16 Inexact Rounded
896ddfma3347 fma 1 1E+20 1 -> 1.000000000000000E+20 Inexact Rounded
897ddfma3348 fma 1 1E+3 7 -> 1007
898ddfma3349 fma 1 1E+15 7 -> 1000000000000007
899ddfma3350 fma 1 1E+16 7 -> 1.000000000000001E+16 Inexact Rounded
900ddfma3351 fma 1 1E+20 7 -> 1.000000000000000E+20 Inexact Rounded
901
902-- tryzeros cases
903rounding: half_up
904ddfma3360 fma 1 0E+50 10000E+1 -> 1.0000E+5
905ddfma3361 fma 1 0E-50 10000E+1 -> 100000.0000000000 Rounded
906ddfma3362 fma 1 10000E+1 0E-50 -> 100000.0000000000 Rounded
907ddfma3363 fma 1 10000E+1 10000E-50 -> 100000.0000000000 Rounded Inexact
908ddfma3364 fma 1 9.999999999999999E+384 -9.999999999999999E+384 -> 0E+369
909
910-- a curiosity from JSR 13 testing
911rounding: half_down
912ddfma3370 fma 1 999999999999999 815 -> 1000000000000814
913ddfma3371 fma 1 9999999999999999 815 -> 1.000000000000081E+16 Rounded Inexact
914rounding: half_up
915ddfma3372 fma 1 999999999999999 815 -> 1000000000000814
916ddfma3373 fma 1 9999999999999999 815 -> 1.000000000000081E+16 Rounded Inexact
917rounding: half_even
918ddfma3374 fma 1 999999999999999 815 -> 1000000000000814
919ddfma3375 fma 1 9999999999999999 815 -> 1.000000000000081E+16 Rounded Inexact
920
921-- ulp replacement tests
922ddfma3400 fma 1 1 77e-14 -> 1.00000000000077
923ddfma3401 fma 1 1 77e-15 -> 1.000000000000077
924ddfma3402 fma 1 1 77e-16 -> 1.000000000000008 Inexact Rounded
925ddfma3403 fma 1 1 77e-17 -> 1.000000000000001 Inexact Rounded
926ddfma3404 fma 1 1 77e-18 -> 1.000000000000000 Inexact Rounded
927ddfma3405 fma 1 1 77e-19 -> 1.000000000000000 Inexact Rounded
928ddfma3406 fma 1 1 77e-299 -> 1.000000000000000 Inexact Rounded
929
930ddfma3410 fma 1 10 77e-14 -> 10.00000000000077
931ddfma3411 fma 1 10 77e-15 -> 10.00000000000008 Inexact Rounded
932ddfma3412 fma 1 10 77e-16 -> 10.00000000000001 Inexact Rounded
933ddfma3413 fma 1 10 77e-17 -> 10.00000000000000 Inexact Rounded
934ddfma3414 fma 1 10 77e-18 -> 10.00000000000000 Inexact Rounded
935ddfma3415 fma 1 10 77e-19 -> 10.00000000000000 Inexact Rounded
936ddfma3416 fma 1 10 77e-299 -> 10.00000000000000 Inexact Rounded
937
938ddfma3420 fma 1 77e-14 1 -> 1.00000000000077
939ddfma3421 fma 1 77e-15 1 -> 1.000000000000077
940ddfma3422 fma 1 77e-16 1 -> 1.000000000000008 Inexact Rounded
941ddfma3423 fma 1 77e-17 1 -> 1.000000000000001 Inexact Rounded
942ddfma3424 fma 1 77e-18 1 -> 1.000000000000000 Inexact Rounded
943ddfma3425 fma 1 77e-19 1 -> 1.000000000000000 Inexact Rounded
944ddfma3426 fma 1 77e-299 1 -> 1.000000000000000 Inexact Rounded
945
946ddfma3430 fma 1 77e-14 10 -> 10.00000000000077
947ddfma3431 fma 1 77e-15 10 -> 10.00000000000008 Inexact Rounded
948ddfma3432 fma 1 77e-16 10 -> 10.00000000000001 Inexact Rounded
949ddfma3433 fma 1 77e-17 10 -> 10.00000000000000 Inexact Rounded
950ddfma3434 fma 1 77e-18 10 -> 10.00000000000000 Inexact Rounded
951ddfma3435 fma 1 77e-19 10 -> 10.00000000000000 Inexact Rounded
952ddfma3436 fma 1 77e-299 10 -> 10.00000000000000 Inexact Rounded
953
954-- negative ulps
955ddfma36440 fma 1 1 -77e-14 -> 0.99999999999923
956ddfma36441 fma 1 1 -77e-15 -> 0.999999999999923
957ddfma36442 fma 1 1 -77e-16 -> 0.9999999999999923
958ddfma36443 fma 1 1 -77e-17 -> 0.9999999999999992 Inexact Rounded
959ddfma36444 fma 1 1 -77e-18 -> 0.9999999999999999 Inexact Rounded
960ddfma36445 fma 1 1 -77e-19 -> 1.000000000000000 Inexact Rounded
961ddfma36446 fma 1 1 -77e-99 -> 1.000000000000000 Inexact Rounded
962
963ddfma36450 fma 1 10 -77e-14 -> 9.99999999999923
964ddfma36451 fma 1 10 -77e-15 -> 9.999999999999923
965ddfma36452 fma 1 10 -77e-16 -> 9.999999999999992 Inexact Rounded
966ddfma36453 fma 1 10 -77e-17 -> 9.999999999999999 Inexact Rounded
967ddfma36454 fma 1 10 -77e-18 -> 10.00000000000000 Inexact Rounded
968ddfma36455 fma 1 10 -77e-19 -> 10.00000000000000 Inexact Rounded
969ddfma36456 fma 1 10 -77e-99 -> 10.00000000000000 Inexact Rounded
970
971ddfma36460 fma 1 -77e-14 1 -> 0.99999999999923
972ddfma36461 fma 1 -77e-15 1 -> 0.999999999999923
973ddfma36462 fma 1 -77e-16 1 -> 0.9999999999999923
974ddfma36463 fma 1 -77e-17 1 -> 0.9999999999999992 Inexact Rounded
975ddfma36464 fma 1 -77e-18 1 -> 0.9999999999999999 Inexact Rounded
976ddfma36465 fma 1 -77e-19 1 -> 1.000000000000000 Inexact Rounded
977ddfma36466 fma 1 -77e-99 1 -> 1.000000000000000 Inexact Rounded
978
979ddfma36470 fma 1 -77e-14 10 -> 9.99999999999923
980ddfma36471 fma 1 -77e-15 10 -> 9.999999999999923
981ddfma36472 fma 1 -77e-16 10 -> 9.999999999999992 Inexact Rounded
982ddfma36473 fma 1 -77e-17 10 -> 9.999999999999999 Inexact Rounded
983ddfma36474 fma 1 -77e-18 10 -> 10.00000000000000 Inexact Rounded
984ddfma36475 fma 1 -77e-19 10 -> 10.00000000000000 Inexact Rounded
985ddfma36476 fma 1 -77e-99 10 -> 10.00000000000000 Inexact Rounded
986
987-- negative ulps
988ddfma36480 fma 1 -1 77e-14 -> -0.99999999999923
989ddfma36481 fma 1 -1 77e-15 -> -0.999999999999923
990ddfma36482 fma 1 -1 77e-16 -> -0.9999999999999923
991ddfma36483 fma 1 -1 77e-17 -> -0.9999999999999992 Inexact Rounded
992ddfma36484 fma 1 -1 77e-18 -> -0.9999999999999999 Inexact Rounded
993ddfma36485 fma 1 -1 77e-19 -> -1.000000000000000 Inexact Rounded
994ddfma36486 fma 1 -1 77e-99 -> -1.000000000000000 Inexact Rounded
995
996ddfma36490 fma 1 -10 77e-14 -> -9.99999999999923
997ddfma36491 fma 1 -10 77e-15 -> -9.999999999999923
998ddfma36492 fma 1 -10 77e-16 -> -9.999999999999992 Inexact Rounded
999ddfma36493 fma 1 -10 77e-17 -> -9.999999999999999 Inexact Rounded
1000ddfma36494 fma 1 -10 77e-18 -> -10.00000000000000 Inexact Rounded
1001ddfma36495 fma 1 -10 77e-19 -> -10.00000000000000 Inexact Rounded
1002ddfma36496 fma 1 -10 77e-99 -> -10.00000000000000 Inexact Rounded
1003
1004ddfma36500 fma 1 77e-14 -1 -> -0.99999999999923
1005ddfma36501 fma 1 77e-15 -1 -> -0.999999999999923
1006ddfma36502 fma 1 77e-16 -1 -> -0.9999999999999923
1007ddfma36503 fma 1 77e-17 -1 -> -0.9999999999999992 Inexact Rounded
1008ddfma36504 fma 1 77e-18 -1 -> -0.9999999999999999 Inexact Rounded
1009ddfma36505 fma 1 77e-19 -1 -> -1.000000000000000 Inexact Rounded
1010ddfma36506 fma 1 77e-99 -1 -> -1.000000000000000 Inexact Rounded
1011
1012ddfma36510 fma 1 77e-14 -10 -> -9.99999999999923
1013ddfma36511 fma 1 77e-15 -10 -> -9.999999999999923
1014ddfma36512 fma 1 77e-16 -10 -> -9.999999999999992 Inexact Rounded
1015ddfma36513 fma 1 77e-17 -10 -> -9.999999999999999 Inexact Rounded
1016ddfma36514 fma 1 77e-18 -10 -> -10.00000000000000 Inexact Rounded
1017ddfma36515 fma 1 77e-19 -10 -> -10.00000000000000 Inexact Rounded
1018ddfma36516 fma 1 77e-99 -10 -> -10.00000000000000 Inexact Rounded
1019
1020-- and a couple more with longer RHS
1021ddfma36520 fma 1 1 -7777e-16 -> 0.9999999999992223
1022ddfma36521 fma 1 1 -7777e-17 -> 0.9999999999999222 Inexact Rounded
1023ddfma36522 fma 1 1 -7777e-18 -> 0.9999999999999922 Inexact Rounded
1024ddfma36523 fma 1 1 -7777e-19 -> 0.9999999999999992 Inexact Rounded
1025ddfma36524 fma 1 1 -7777e-20 -> 0.9999999999999999 Inexact Rounded
1026ddfma36525 fma 1 1 -7777e-21 -> 1.000000000000000 Inexact Rounded
1027ddfma36526 fma 1 1 -7777e-22 -> 1.000000000000000 Inexact Rounded
1028
1029
1030-- and some more residue effects and different roundings
1031rounding: half_up
1032ddfma36540 fma 1 '6543210123456789' 0 -> '6543210123456789'
1033ddfma36541 fma 1 '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded
1034ddfma36542 fma 1 '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded
1035ddfma36543 fma 1 '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded
1036ddfma36544 fma 1 '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded
1037ddfma36545 fma 1 '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded
1038ddfma36546 fma 1 '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded
1039ddfma36547 fma 1 '6543210123456789' 0.499999999 -> '6543210123456789' Inexact Rounded
1040ddfma36548 fma 1 '6543210123456789' 0.5 -> '6543210123456790' Inexact Rounded
1041ddfma36549 fma 1 '6543210123456789' 0.500000001 -> '6543210123456790' Inexact Rounded
1042ddfma36550 fma 1 '6543210123456789' 0.500001 -> '6543210123456790' Inexact Rounded
1043ddfma36551 fma 1 '6543210123456789' 0.51 -> '6543210123456790' Inexact Rounded
1044ddfma36552 fma 1 '6543210123456789' 0.6 -> '6543210123456790' Inexact Rounded
1045ddfma36553 fma 1 '6543210123456789' 0.9 -> '6543210123456790' Inexact Rounded
1046ddfma36554 fma 1 '6543210123456789' 0.99999 -> '6543210123456790' Inexact Rounded
1047ddfma36555 fma 1 '6543210123456789' 0.999999999 -> '6543210123456790' Inexact Rounded
1048ddfma36556 fma 1 '6543210123456789' 1 -> '6543210123456790'
1049ddfma36557 fma 1 '6543210123456789' 1.000000001 -> '6543210123456790' Inexact Rounded
1050ddfma36558 fma 1 '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded
1051ddfma36559 fma 1 '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded
1052
1053rounding: half_even
1054ddfma36560 fma 1 '6543210123456789' 0 -> '6543210123456789'
1055ddfma36561 fma 1 '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded
1056ddfma36562 fma 1 '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded
1057ddfma36563 fma 1 '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded
1058ddfma36564 fma 1 '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded
1059ddfma36565 fma 1 '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded
1060ddfma36566 fma 1 '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded
1061ddfma36567 fma 1 '6543210123456789' 0.499999999 -> '6543210123456789' Inexact Rounded
1062ddfma36568 fma 1 '6543210123456789' 0.5 -> '6543210123456790' Inexact Rounded
1063ddfma36569 fma 1 '6543210123456789' 0.500000001 -> '6543210123456790' Inexact Rounded
1064ddfma36570 fma 1 '6543210123456789' 0.500001 -> '6543210123456790' Inexact Rounded
1065ddfma36571 fma 1 '6543210123456789' 0.51 -> '6543210123456790' Inexact Rounded
1066ddfma36572 fma 1 '6543210123456789' 0.6 -> '6543210123456790' Inexact Rounded
1067ddfma36573 fma 1 '6543210123456789' 0.9 -> '6543210123456790' Inexact Rounded
1068ddfma36574 fma 1 '6543210123456789' 0.99999 -> '6543210123456790' Inexact Rounded
1069ddfma36575 fma 1 '6543210123456789' 0.999999999 -> '6543210123456790' Inexact Rounded
1070ddfma36576 fma 1 '6543210123456789' 1 -> '6543210123456790'
1071ddfma36577 fma 1 '6543210123456789' 1.00000001 -> '6543210123456790' Inexact Rounded
1072ddfma36578 fma 1 '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded
1073ddfma36579 fma 1 '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded
1074
1075-- critical few with even bottom digit...
1076ddfma37540 fma 1 '6543210123456788' 0.499999999 -> '6543210123456788' Inexact Rounded
1077ddfma37541 fma 1 '6543210123456788' 0.5 -> '6543210123456788' Inexact Rounded
1078ddfma37542 fma 1 '6543210123456788' 0.500000001 -> '6543210123456789' Inexact Rounded
1079
1080rounding: down
1081ddfma37550 fma 1 '6543210123456789' 0 -> '6543210123456789'
1082ddfma37551 fma 1 '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded
1083ddfma37552 fma 1 '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded
1084ddfma37553 fma 1 '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded
1085ddfma37554 fma 1 '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded
1086ddfma37555 fma 1 '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded
1087ddfma37556 fma 1 '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded
1088ddfma37557 fma 1 '6543210123456789' 0.499999999 -> '6543210123456789' Inexact Rounded
1089ddfma37558 fma 1 '6543210123456789' 0.5 -> '6543210123456789' Inexact Rounded
1090ddfma37559 fma 1 '6543210123456789' 0.500000001 -> '6543210123456789' Inexact Rounded
1091ddfma37560 fma 1 '6543210123456789' 0.500001 -> '6543210123456789' Inexact Rounded
1092ddfma37561 fma 1 '6543210123456789' 0.51 -> '6543210123456789' Inexact Rounded
1093ddfma37562 fma 1 '6543210123456789' 0.6 -> '6543210123456789' Inexact Rounded
1094ddfma37563 fma 1 '6543210123456789' 0.9 -> '6543210123456789' Inexact Rounded
1095ddfma37564 fma 1 '6543210123456789' 0.99999 -> '6543210123456789' Inexact Rounded
1096ddfma37565 fma 1 '6543210123456789' 0.999999999 -> '6543210123456789' Inexact Rounded
1097ddfma37566 fma 1 '6543210123456789' 1 -> '6543210123456790'
1098ddfma37567 fma 1 '6543210123456789' 1.00000001 -> '6543210123456790' Inexact Rounded
1099ddfma37568 fma 1 '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded
1100ddfma37569 fma 1 '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded
1101
1102
1103-- verify a query
1104rounding: down
1105ddfma37661 fma 1 1e-398 9.000000000000000E+384 -> 9.000000000000000E+384 Inexact Rounded
1106ddfma37662 fma 1 0 9.000000000000000E+384 -> 9.000000000000000E+384 Rounded
1107ddfma37663 fma 1 1e-388 9.000000000000000E+374 -> 9.000000000000000E+374 Inexact Rounded
1108ddfma37664 fma 1 0 9.000000000000000E+374 -> 9.000000000000000E+374 Rounded
1109
1110-- more zeros, etc.
1111rounding: half_even
1112
1113ddfma37701 fma 1 5.00 1.00E-3 -> 5.00100
1114ddfma37702 fma 1 00.00 0.000 -> 0.000
1115ddfma37703 fma 1 00.00 0E-3 -> 0.000
1116ddfma37704 fma 1 0E-3 00.00 -> 0.000
1117
1118ddfma37710 fma 1 0E+3 00.00 -> 0.00
1119ddfma37711 fma 1 0E+3 00.0 -> 0.0
1120ddfma37712 fma 1 0E+3 00. -> 0
1121ddfma37713 fma 1 0E+3 00.E+1 -> 0E+1
1122ddfma37714 fma 1 0E+3 00.E+2 -> 0E+2
1123ddfma37715 fma 1 0E+3 00.E+3 -> 0E+3
1124ddfma37716 fma 1 0E+3 00.E+4 -> 0E+3
1125ddfma37717 fma 1 0E+3 00.E+5 -> 0E+3
1126ddfma37718 fma 1 0E+3 -00.0 -> 0.0
1127ddfma37719 fma 1 0E+3 -00. -> 0
1128ddfma37731 fma 1 0E+3 -00.E+1 -> 0E+1
1129
1130ddfma37720 fma 1 00.00 0E+3 -> 0.00
1131ddfma37721 fma 1 00.0 0E+3 -> 0.0
1132ddfma37722 fma 1 00. 0E+3 -> 0
1133ddfma37723 fma 1 00.E+1 0E+3 -> 0E+1
1134ddfma37724 fma 1 00.E+2 0E+3 -> 0E+2
1135ddfma37725 fma 1 00.E+3 0E+3 -> 0E+3
1136ddfma37726 fma 1 00.E+4 0E+3 -> 0E+3
1137ddfma37727 fma 1 00.E+5 0E+3 -> 0E+3
1138ddfma37728 fma 1 -00.00 0E+3 -> 0.00
1139ddfma37729 fma 1 -00.0 0E+3 -> 0.0
1140ddfma37730 fma 1 -00. 0E+3 -> 0
1141
1142ddfma37732 fma 1 0 0 -> 0
1143ddfma37733 fma 1 0 -0 -> 0
1144ddfma37734 fma 1 -0 0 -> 0
1145ddfma37735 fma 1 -0 -0 -> -0 -- IEEE 854 special case
1146
1147ddfma37736 fma 1 1 -1 -> 0
1148ddfma37737 fma 1 -1 -1 -> -2
1149ddfma37738 fma 1 1 1 -> 2
1150ddfma37739 fma 1 -1 1 -> 0
1151
1152ddfma37741 fma 1 0 -1 -> -1
1153ddfma37742 fma 1 -0 -1 -> -1
1154ddfma37743 fma 1 0 1 -> 1
1155ddfma37744 fma 1 -0 1 -> 1
1156ddfma37745 fma 1 -1 0 -> -1
1157ddfma37746 fma 1 -1 -0 -> -1
1158ddfma37747 fma 1 1 0 -> 1
1159ddfma37748 fma 1 1 -0 -> 1
1160
1161ddfma37751 fma 1 0.0 -1 -> -1.0
1162ddfma37752 fma 1 -0.0 -1 -> -1.0
1163ddfma37753 fma 1 0.0 1 -> 1.0
1164ddfma37754 fma 1 -0.0 1 -> 1.0
1165ddfma37755 fma 1 -1.0 0 -> -1.0
1166ddfma37756 fma 1 -1.0 -0 -> -1.0
1167ddfma37757 fma 1 1.0 0 -> 1.0
1168ddfma37758 fma 1 1.0 -0 -> 1.0
1169
1170ddfma37761 fma 1 0 -1.0 -> -1.0
1171ddfma37762 fma 1 -0 -1.0 -> -1.0
1172ddfma37763 fma 1 0 1.0 -> 1.0
1173ddfma37764 fma 1 -0 1.0 -> 1.0
1174ddfma37765 fma 1 -1 0.0 -> -1.0
1175ddfma37766 fma 1 -1 -0.0 -> -1.0
1176ddfma37767 fma 1 1 0.0 -> 1.0
1177ddfma37768 fma 1 1 -0.0 -> 1.0
1178
1179ddfma37771 fma 1 0.0 -1.0 -> -1.0
1180ddfma37772 fma 1 -0.0 -1.0 -> -1.0
1181ddfma37773 fma 1 0.0 1.0 -> 1.0
1182ddfma37774 fma 1 -0.0 1.0 -> 1.0
1183ddfma37775 fma 1 -1.0 0.0 -> -1.0
1184ddfma37776 fma 1 -1.0 -0.0 -> -1.0
1185ddfma37777 fma 1 1.0 0.0 -> 1.0
1186ddfma37778 fma 1 1.0 -0.0 -> 1.0
1187
1188-- Specials
1189ddfma37780 fma 1 -Inf -Inf -> -Infinity
1190ddfma37781 fma 1 -Inf -1000 -> -Infinity
1191ddfma37782 fma 1 -Inf -1 -> -Infinity
1192ddfma37783 fma 1 -Inf -0 -> -Infinity
1193ddfma37784 fma 1 -Inf 0 -> -Infinity
1194ddfma37785 fma 1 -Inf 1 -> -Infinity
1195ddfma37786 fma 1 -Inf 1000 -> -Infinity
1196ddfma37787 fma 1 -1000 -Inf -> -Infinity
1197ddfma37788 fma 1 -Inf -Inf -> -Infinity
1198ddfma37789 fma 1 -1 -Inf -> -Infinity
1199ddfma37790 fma 1 -0 -Inf -> -Infinity
1200ddfma37791 fma 1 0 -Inf -> -Infinity
1201ddfma37792 fma 1 1 -Inf -> -Infinity
1202ddfma37793 fma 1 1000 -Inf -> -Infinity
1203ddfma37794 fma 1 Inf -Inf -> NaN Invalid_operation
1204
1205ddfma37800 fma 1 Inf -Inf -> NaN Invalid_operation
1206ddfma37801 fma 1 Inf -1000 -> Infinity
1207ddfma37802 fma 1 Inf -1 -> Infinity
1208ddfma37803 fma 1 Inf -0 -> Infinity
1209ddfma37804 fma 1 Inf 0 -> Infinity
1210ddfma37805 fma 1 Inf 1 -> Infinity
1211ddfma37806 fma 1 Inf 1000 -> Infinity
1212ddfma37807 fma 1 Inf Inf -> Infinity
1213ddfma37808 fma 1 -1000 Inf -> Infinity
1214ddfma37809 fma 1 -Inf Inf -> NaN Invalid_operation
1215ddfma37810 fma 1 -1 Inf -> Infinity
1216ddfma37811 fma 1 -0 Inf -> Infinity
1217ddfma37812 fma 1 0 Inf -> Infinity
1218ddfma37813 fma 1 1 Inf -> Infinity
1219ddfma37814 fma 1 1000 Inf -> Infinity
1220ddfma37815 fma 1 Inf Inf -> Infinity
1221
1222ddfma37821 fma 1 NaN -Inf -> NaN
1223ddfma37822 fma 1 NaN -1000 -> NaN
1224ddfma37823 fma 1 NaN -1 -> NaN
1225ddfma37824 fma 1 NaN -0 -> NaN
1226ddfma37825 fma 1 NaN 0 -> NaN
1227ddfma37826 fma 1 NaN 1 -> NaN
1228ddfma37827 fma 1 NaN 1000 -> NaN
1229ddfma37828 fma 1 NaN Inf -> NaN
1230ddfma37829 fma 1 NaN NaN -> NaN
1231ddfma37830 fma 1 -Inf NaN -> NaN
1232ddfma37831 fma 1 -1000 NaN -> NaN
1233ddfma37832 fma 1 -1 NaN -> NaN
1234ddfma37833 fma 1 -0 NaN -> NaN
1235ddfma37834 fma 1 0 NaN -> NaN
1236ddfma37835 fma 1 1 NaN -> NaN
1237ddfma37836 fma 1 1000 NaN -> NaN
1238ddfma37837 fma 1 Inf NaN -> NaN
1239
1240ddfma37841 fma 1 sNaN -Inf -> NaN Invalid_operation
1241ddfma37842 fma 1 sNaN -1000 -> NaN Invalid_operation
1242ddfma37843 fma 1 sNaN -1 -> NaN Invalid_operation
1243ddfma37844 fma 1 sNaN -0 -> NaN Invalid_operation
1244ddfma37845 fma 1 sNaN 0 -> NaN Invalid_operation
1245ddfma37846 fma 1 sNaN 1 -> NaN Invalid_operation
1246ddfma37847 fma 1 sNaN 1000 -> NaN Invalid_operation
1247ddfma37848 fma 1 sNaN NaN -> NaN Invalid_operation
1248ddfma37849 fma 1 sNaN sNaN -> NaN Invalid_operation
1249ddfma37850 fma 1 NaN sNaN -> NaN Invalid_operation
1250ddfma37851 fma 1 -Inf sNaN -> NaN Invalid_operation
1251ddfma37852 fma 1 -1000 sNaN -> NaN Invalid_operation
1252ddfma37853 fma 1 -1 sNaN -> NaN Invalid_operation
1253ddfma37854 fma 1 -0 sNaN -> NaN Invalid_operation
1254ddfma37855 fma 1 0 sNaN -> NaN Invalid_operation
1255ddfma37856 fma 1 1 sNaN -> NaN Invalid_operation
1256ddfma37857 fma 1 1000 sNaN -> NaN Invalid_operation
1257ddfma37858 fma 1 Inf sNaN -> NaN Invalid_operation
1258ddfma37859 fma 1 NaN sNaN -> NaN Invalid_operation
1259
1260-- propagating NaNs
1261ddfma37861 fma 1 NaN1 -Inf -> NaN1
1262ddfma37862 fma 1 +NaN2 -1000 -> NaN2
1263ddfma37863 fma 1 NaN3 1000 -> NaN3
1264ddfma37864 fma 1 NaN4 Inf -> NaN4
1265ddfma37865 fma 1 NaN5 +NaN6 -> NaN5
1266ddfma37866 fma 1 -Inf NaN7 -> NaN7
1267ddfma37867 fma 1 -1000 NaN8 -> NaN8
1268ddfma37868 fma 1 1000 NaN9 -> NaN9
1269ddfma37869 fma 1 Inf +NaN10 -> NaN10
1270ddfma37871 fma 1 sNaN11 -Inf -> NaN11 Invalid_operation
1271ddfma37872 fma 1 sNaN12 -1000 -> NaN12 Invalid_operation
1272ddfma37873 fma 1 sNaN13 1000 -> NaN13 Invalid_operation
1273ddfma37874 fma 1 sNaN14 NaN17 -> NaN14 Invalid_operation
1274ddfma37875 fma 1 sNaN15 sNaN18 -> NaN15 Invalid_operation
1275ddfma37876 fma 1 NaN16 sNaN19 -> NaN19 Invalid_operation
1276ddfma37877 fma 1 -Inf +sNaN20 -> NaN20 Invalid_operation
1277ddfma37878 fma 1 -1000 sNaN21 -> NaN21 Invalid_operation
1278ddfma37879 fma 1 1000 sNaN22 -> NaN22 Invalid_operation
1279ddfma37880 fma 1 Inf sNaN23 -> NaN23 Invalid_operation
1280ddfma37881 fma 1 +NaN25 +sNaN24 -> NaN24 Invalid_operation
1281ddfma37882 fma 1 -NaN26 NaN28 -> -NaN26
1282ddfma37883 fma 1 -sNaN27 sNaN29 -> -NaN27 Invalid_operation
1283ddfma37884 fma 1 1000 -NaN30 -> -NaN30
1284ddfma37885 fma 1 1000 -sNaN31 -> -NaN31 Invalid_operation
1285
1286-- Here we explore near the boundary of rounding a subnormal to Nmin
1287ddfma37575 fma 1 1E-383 -1E-398 -> 9.99999999999999E-384 Subnormal
1288ddfma37576 fma 1 -1E-383 +1E-398 -> -9.99999999999999E-384 Subnormal
1289
1290-- check overflow edge case
1291-- 1234567890123456
1292ddfma37972 apply 9.999999999999999E+384 -> 9.999999999999999E+384
1293ddfma37973 fma 1 9.999999999999999E+384 1 -> 9.999999999999999E+384 Inexact Rounded
1294ddfma37974 fma 1 9999999999999999E+369 1 -> 9.999999999999999E+384 Inexact Rounded
1295ddfma37975 fma 1 9999999999999999E+369 1E+369 -> Infinity Overflow Inexact Rounded
1296ddfma37976 fma 1 9999999999999999E+369 9E+368 -> Infinity Overflow Inexact Rounded
1297ddfma37977 fma 1 9999999999999999E+369 8E+368 -> Infinity Overflow Inexact Rounded
1298ddfma37978 fma 1 9999999999999999E+369 7E+368 -> Infinity Overflow Inexact Rounded
1299ddfma37979 fma 1 9999999999999999E+369 6E+368 -> Infinity Overflow Inexact Rounded
1300ddfma37980 fma 1 9999999999999999E+369 5E+368 -> Infinity Overflow Inexact Rounded
1301ddfma37981 fma 1 9999999999999999E+369 4E+368 -> 9.999999999999999E+384 Inexact Rounded
1302ddfma37982 fma 1 9999999999999999E+369 3E+368 -> 9.999999999999999E+384 Inexact Rounded
1303ddfma37983 fma 1 9999999999999999E+369 2E+368 -> 9.999999999999999E+384 Inexact Rounded
1304ddfma37984 fma 1 9999999999999999E+369 1E+368 -> 9.999999999999999E+384 Inexact Rounded
1305
1306ddfma37985 apply -9.999999999999999E+384 -> -9.999999999999999E+384
1307ddfma37986 fma 1 -9.999999999999999E+384 -1 -> -9.999999999999999E+384 Inexact Rounded
1308ddfma37987 fma 1 -9999999999999999E+369 -1 -> -9.999999999999999E+384 Inexact Rounded
1309ddfma37988 fma 1 -9999999999999999E+369 -1E+369 -> -Infinity Overflow Inexact Rounded
1310ddfma37989 fma 1 -9999999999999999E+369 -9E+368 -> -Infinity Overflow Inexact Rounded
1311ddfma37990 fma 1 -9999999999999999E+369 -8E+368 -> -Infinity Overflow Inexact Rounded
1312ddfma37991 fma 1 -9999999999999999E+369 -7E+368 -> -Infinity Overflow Inexact Rounded
1313ddfma37992 fma 1 -9999999999999999E+369 -6E+368 -> -Infinity Overflow Inexact Rounded
1314ddfma37993 fma 1 -9999999999999999E+369 -5E+368 -> -Infinity Overflow Inexact Rounded
1315ddfma37994 fma 1 -9999999999999999E+369 -4E+368 -> -9.999999999999999E+384 Inexact Rounded
1316ddfma37995 fma 1 -9999999999999999E+369 -3E+368 -> -9.999999999999999E+384 Inexact Rounded
1317ddfma37996 fma 1 -9999999999999999E+369 -2E+368 -> -9.999999999999999E+384 Inexact Rounded
1318ddfma37997 fma 1 -9999999999999999E+369 -1E+368 -> -9.999999999999999E+384 Inexact Rounded
1319
1320-- And for round down full and subnormal results
1321rounding: down
1322ddfma371100 fma 1 1e+2 -1e-383 -> 99.99999999999999 Rounded Inexact
1323ddfma371101 fma 1 1e+1 -1e-383 -> 9.999999999999999 Rounded Inexact
1324ddfma371103 fma 1 +1 -1e-383 -> 0.9999999999999999 Rounded Inexact
1325ddfma371104 fma 1 1e-1 -1e-383 -> 0.09999999999999999 Rounded Inexact
1326ddfma371105 fma 1 1e-2 -1e-383 -> 0.009999999999999999 Rounded Inexact
1327ddfma371106 fma 1 1e-3 -1e-383 -> 0.0009999999999999999 Rounded Inexact
1328ddfma371107 fma 1 1e-4 -1e-383 -> 0.00009999999999999999 Rounded Inexact
1329ddfma371108 fma 1 1e-5 -1e-383 -> 0.000009999999999999999 Rounded Inexact
1330ddfma371109 fma 1 1e-6 -1e-383 -> 9.999999999999999E-7 Rounded Inexact
1331
1332rounding: ceiling
1333ddfma371110 fma 1 -1e+2 +1e-383 -> -99.99999999999999 Rounded Inexact
1334ddfma371111 fma 1 -1e+1 +1e-383 -> -9.999999999999999 Rounded Inexact
1335ddfma371113 fma 1 -1 +1e-383 -> -0.9999999999999999 Rounded Inexact
1336ddfma371114 fma 1 -1e-1 +1e-383 -> -0.09999999999999999 Rounded Inexact
1337ddfma371115 fma 1 -1e-2 +1e-383 -> -0.009999999999999999 Rounded Inexact
1338ddfma371116 fma 1 -1e-3 +1e-383 -> -0.0009999999999999999 Rounded Inexact
1339ddfma371117 fma 1 -1e-4 +1e-383 -> -0.00009999999999999999 Rounded Inexact
1340ddfma371118 fma 1 -1e-5 +1e-383 -> -0.000009999999999999999 Rounded Inexact
1341ddfma371119 fma 1 -1e-6 +1e-383 -> -9.999999999999999E-7 Rounded Inexact
1342
1343-- tests based on Gunnar Degnbol's edge case
1344rounding: half_even
1345
1346ddfma371300 fma 1 1E16 -0.5 -> 1.000000000000000E+16 Inexact Rounded
1347ddfma371310 fma 1 1E16 -0.51 -> 9999999999999999 Inexact Rounded
1348ddfma371311 fma 1 1E16 -0.501 -> 9999999999999999 Inexact Rounded
1349ddfma371312 fma 1 1E16 -0.5001 -> 9999999999999999 Inexact Rounded
1350ddfma371313 fma 1 1E16 -0.50001 -> 9999999999999999 Inexact Rounded
1351ddfma371314 fma 1 1E16 -0.500001 -> 9999999999999999 Inexact Rounded
1352ddfma371315 fma 1 1E16 -0.5000001 -> 9999999999999999 Inexact Rounded
1353ddfma371316 fma 1 1E16 -0.50000001 -> 9999999999999999 Inexact Rounded
1354ddfma371317 fma 1 1E16 -0.500000001 -> 9999999999999999 Inexact Rounded
1355ddfma371318 fma 1 1E16 -0.5000000001 -> 9999999999999999 Inexact Rounded
1356ddfma371319 fma 1 1E16 -0.50000000001 -> 9999999999999999 Inexact Rounded
1357ddfma371320 fma 1 1E16 -0.500000000001 -> 9999999999999999 Inexact Rounded
1358ddfma371321 fma 1 1E16 -0.5000000000001 -> 9999999999999999 Inexact Rounded
1359ddfma371322 fma 1 1E16 -0.50000000000001 -> 9999999999999999 Inexact Rounded
1360ddfma371323 fma 1 1E16 -0.500000000000001 -> 9999999999999999 Inexact Rounded
1361ddfma371324 fma 1 1E16 -0.5000000000000001 -> 9999999999999999 Inexact Rounded
1362ddfma371325 fma 1 1E16 -0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded
1363ddfma371326 fma 1 1E16 -0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded
1364ddfma371327 fma 1 1E16 -0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded
1365ddfma371328 fma 1 1E16 -0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded
1366ddfma371329 fma 1 1E16 -0.500000000000 -> 1.000000000000000E+16 Inexact Rounded
1367ddfma371330 fma 1 1E16 -0.50000000000 -> 1.000000000000000E+16 Inexact Rounded
1368ddfma371331 fma 1 1E16 -0.5000000000 -> 1.000000000000000E+16 Inexact Rounded
1369ddfma371332 fma 1 1E16 -0.500000000 -> 1.000000000000000E+16 Inexact Rounded
1370ddfma371333 fma 1 1E16 -0.50000000 -> 1.000000000000000E+16 Inexact Rounded
1371ddfma371334 fma 1 1E16 -0.5000000 -> 1.000000000000000E+16 Inexact Rounded
1372ddfma371335 fma 1 1E16 -0.500000 -> 1.000000000000000E+16 Inexact Rounded
1373ddfma371336 fma 1 1E16 -0.50000 -> 1.000000000000000E+16 Inexact Rounded
1374ddfma371337 fma 1 1E16 -0.5000 -> 1.000000000000000E+16 Inexact Rounded
1375ddfma371338 fma 1 1E16 -0.500 -> 1.000000000000000E+16 Inexact Rounded
1376ddfma371339 fma 1 1E16 -0.50 -> 1.000000000000000E+16 Inexact Rounded
1377
1378ddfma371340 fma 1 1E16 -5000000.000010001 -> 9999999995000000 Inexact Rounded
1379ddfma371341 fma 1 1E16 -5000000.000000001 -> 9999999995000000 Inexact Rounded
1380
1381ddfma371349 fma 1 9999999999999999 0.4 -> 9999999999999999 Inexact Rounded
1382ddfma371350 fma 1 9999999999999999 0.49 -> 9999999999999999 Inexact Rounded
1383ddfma371351 fma 1 9999999999999999 0.499 -> 9999999999999999 Inexact Rounded
1384ddfma371352 fma 1 9999999999999999 0.4999 -> 9999999999999999 Inexact Rounded
1385ddfma371353 fma 1 9999999999999999 0.49999 -> 9999999999999999 Inexact Rounded
1386ddfma371354 fma 1 9999999999999999 0.499999 -> 9999999999999999 Inexact Rounded
1387ddfma371355 fma 1 9999999999999999 0.4999999 -> 9999999999999999 Inexact Rounded
1388ddfma371356 fma 1 9999999999999999 0.49999999 -> 9999999999999999 Inexact Rounded
1389ddfma371357 fma 1 9999999999999999 0.499999999 -> 9999999999999999 Inexact Rounded
1390ddfma371358 fma 1 9999999999999999 0.4999999999 -> 9999999999999999 Inexact Rounded
1391ddfma371359 fma 1 9999999999999999 0.49999999999 -> 9999999999999999 Inexact Rounded
1392ddfma371360 fma 1 9999999999999999 0.499999999999 -> 9999999999999999 Inexact Rounded
1393ddfma371361 fma 1 9999999999999999 0.4999999999999 -> 9999999999999999 Inexact Rounded
1394ddfma371362 fma 1 9999999999999999 0.49999999999999 -> 9999999999999999 Inexact Rounded
1395ddfma371363 fma 1 9999999999999999 0.499999999999999 -> 9999999999999999 Inexact Rounded
1396ddfma371364 fma 1 9999999999999999 0.4999999999999999 -> 9999999999999999 Inexact Rounded
1397ddfma371365 fma 1 9999999999999999 0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded
1398ddfma371367 fma 1 9999999999999999 0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded
1399ddfma371368 fma 1 9999999999999999 0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded
1400ddfma371369 fma 1 9999999999999999 0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded
1401ddfma371370 fma 1 9999999999999999 0.500000000000 -> 1.000000000000000E+16 Inexact Rounded
1402ddfma371371 fma 1 9999999999999999 0.50000000000 -> 1.000000000000000E+16 Inexact Rounded
1403ddfma371372 fma 1 9999999999999999 0.5000000000 -> 1.000000000000000E+16 Inexact Rounded
1404ddfma371373 fma 1 9999999999999999 0.500000000 -> 1.000000000000000E+16 Inexact Rounded
1405ddfma371374 fma 1 9999999999999999 0.50000000 -> 1.000000000000000E+16 Inexact Rounded
1406ddfma371375 fma 1 9999999999999999 0.5000000 -> 1.000000000000000E+16 Inexact Rounded
1407ddfma371376 fma 1 9999999999999999 0.500000 -> 1.000000000000000E+16 Inexact Rounded
1408ddfma371377 fma 1 9999999999999999 0.50000 -> 1.000000000000000E+16 Inexact Rounded
1409ddfma371378 fma 1 9999999999999999 0.5000 -> 1.000000000000000E+16 Inexact Rounded
1410ddfma371379 fma 1 9999999999999999 0.500 -> 1.000000000000000E+16 Inexact Rounded
1411ddfma371380 fma 1 9999999999999999 0.50 -> 1.000000000000000E+16 Inexact Rounded
1412ddfma371381 fma 1 9999999999999999 0.5 -> 1.000000000000000E+16 Inexact Rounded
1413ddfma371382 fma 1 9999999999999999 0.5000000000000001 -> 1.000000000000000E+16 Inexact Rounded
1414ddfma371383 fma 1 9999999999999999 0.500000000000001 -> 1.000000000000000E+16 Inexact Rounded
1415ddfma371384 fma 1 9999999999999999 0.50000000000001 -> 1.000000000000000E+16 Inexact Rounded
1416ddfma371385 fma 1 9999999999999999 0.5000000000001 -> 1.000000000000000E+16 Inexact Rounded
1417ddfma371386 fma 1 9999999999999999 0.500000000001 -> 1.000000000000000E+16 Inexact Rounded
1418ddfma371387 fma 1 9999999999999999 0.50000000001 -> 1.000000000000000E+16 Inexact Rounded
1419ddfma371388 fma 1 9999999999999999 0.5000000001 -> 1.000000000000000E+16 Inexact Rounded
1420ddfma371389 fma 1 9999999999999999 0.500000001 -> 1.000000000000000E+16 Inexact Rounded
1421ddfma371390 fma 1 9999999999999999 0.50000001 -> 1.000000000000000E+16 Inexact Rounded
1422ddfma371391 fma 1 9999999999999999 0.5000001 -> 1.000000000000000E+16 Inexact Rounded
1423ddfma371392 fma 1 9999999999999999 0.500001 -> 1.000000000000000E+16 Inexact Rounded
1424ddfma371393 fma 1 9999999999999999 0.50001 -> 1.000000000000000E+16 Inexact Rounded
1425ddfma371394 fma 1 9999999999999999 0.5001 -> 1.000000000000000E+16 Inexact Rounded
1426ddfma371395 fma 1 9999999999999999 0.501 -> 1.000000000000000E+16 Inexact Rounded
1427ddfma371396 fma 1 9999999999999999 0.51 -> 1.000000000000000E+16 Inexact Rounded
1428
1429-- More GD edge cases, where difference between the unadjusted
1430-- exponents is larger than the maximum precision and one side is 0
1431ddfma371420 fma 1 0 1.123456789012345 -> 1.123456789012345
1432ddfma371421 fma 1 0 1.123456789012345E-1 -> 0.1123456789012345
1433ddfma371422 fma 1 0 1.123456789012345E-2 -> 0.01123456789012345
1434ddfma371423 fma 1 0 1.123456789012345E-3 -> 0.001123456789012345
1435ddfma371424 fma 1 0 1.123456789012345E-4 -> 0.0001123456789012345
1436ddfma371425 fma 1 0 1.123456789012345E-5 -> 0.00001123456789012345
1437ddfma371426 fma 1 0 1.123456789012345E-6 -> 0.000001123456789012345
1438ddfma371427 fma 1 0 1.123456789012345E-7 -> 1.123456789012345E-7
1439ddfma371428 fma 1 0 1.123456789012345E-8 -> 1.123456789012345E-8
1440ddfma371429 fma 1 0 1.123456789012345E-9 -> 1.123456789012345E-9
1441ddfma371430 fma 1 0 1.123456789012345E-10 -> 1.123456789012345E-10
1442ddfma371431 fma 1 0 1.123456789012345E-11 -> 1.123456789012345E-11
1443ddfma371432 fma 1 0 1.123456789012345E-12 -> 1.123456789012345E-12
1444ddfma371433 fma 1 0 1.123456789012345E-13 -> 1.123456789012345E-13
1445ddfma371434 fma 1 0 1.123456789012345E-14 -> 1.123456789012345E-14
1446ddfma371435 fma 1 0 1.123456789012345E-15 -> 1.123456789012345E-15
1447ddfma371436 fma 1 0 1.123456789012345E-16 -> 1.123456789012345E-16
1448ddfma371437 fma 1 0 1.123456789012345E-17 -> 1.123456789012345E-17
1449ddfma371438 fma 1 0 1.123456789012345E-18 -> 1.123456789012345E-18
1450ddfma371439 fma 1 0 1.123456789012345E-19 -> 1.123456789012345E-19
1451
1452-- same, reversed 0
1453ddfma371440 fma 1 1.123456789012345 0 -> 1.123456789012345
1454ddfma371441 fma 1 1.123456789012345E-1 0 -> 0.1123456789012345
1455ddfma371442 fma 1 1.123456789012345E-2 0 -> 0.01123456789012345
1456ddfma371443 fma 1 1.123456789012345E-3 0 -> 0.001123456789012345
1457ddfma371444 fma 1 1.123456789012345E-4 0 -> 0.0001123456789012345
1458ddfma371445 fma 1 1.123456789012345E-5 0 -> 0.00001123456789012345
1459ddfma371446 fma 1 1.123456789012345E-6 0 -> 0.000001123456789012345
1460ddfma371447 fma 1 1.123456789012345E-7 0 -> 1.123456789012345E-7
1461ddfma371448 fma 1 1.123456789012345E-8 0 -> 1.123456789012345E-8
1462ddfma371449 fma 1 1.123456789012345E-9 0 -> 1.123456789012345E-9
1463ddfma371450 fma 1 1.123456789012345E-10 0 -> 1.123456789012345E-10
1464ddfma371451 fma 1 1.123456789012345E-11 0 -> 1.123456789012345E-11
1465ddfma371452 fma 1 1.123456789012345E-12 0 -> 1.123456789012345E-12
1466ddfma371453 fma 1 1.123456789012345E-13 0 -> 1.123456789012345E-13
1467ddfma371454 fma 1 1.123456789012345E-14 0 -> 1.123456789012345E-14
1468ddfma371455 fma 1 1.123456789012345E-15 0 -> 1.123456789012345E-15
1469ddfma371456 fma 1 1.123456789012345E-16 0 -> 1.123456789012345E-16
1470ddfma371457 fma 1 1.123456789012345E-17 0 -> 1.123456789012345E-17
1471ddfma371458 fma 1 1.123456789012345E-18 0 -> 1.123456789012345E-18
1472ddfma371459 fma 1 1.123456789012345E-19 0 -> 1.123456789012345E-19
1473
1474-- same, Es on the 0
1475ddfma371460 fma 1 1.123456789012345 0E-0 -> 1.123456789012345
1476ddfma371461 fma 1 1.123456789012345 0E-1 -> 1.123456789012345
1477ddfma371462 fma 1 1.123456789012345 0E-2 -> 1.123456789012345
1478ddfma371463 fma 1 1.123456789012345 0E-3 -> 1.123456789012345
1479ddfma371464 fma 1 1.123456789012345 0E-4 -> 1.123456789012345
1480ddfma371465 fma 1 1.123456789012345 0E-5 -> 1.123456789012345
1481ddfma371466 fma 1 1.123456789012345 0E-6 -> 1.123456789012345
1482ddfma371467 fma 1 1.123456789012345 0E-7 -> 1.123456789012345
1483ddfma371468 fma 1 1.123456789012345 0E-8 -> 1.123456789012345
1484ddfma371469 fma 1 1.123456789012345 0E-9 -> 1.123456789012345
1485ddfma371470 fma 1 1.123456789012345 0E-10 -> 1.123456789012345
1486ddfma371471 fma 1 1.123456789012345 0E-11 -> 1.123456789012345
1487ddfma371472 fma 1 1.123456789012345 0E-12 -> 1.123456789012345
1488ddfma371473 fma 1 1.123456789012345 0E-13 -> 1.123456789012345
1489ddfma371474 fma 1 1.123456789012345 0E-14 -> 1.123456789012345
1490ddfma371475 fma 1 1.123456789012345 0E-15 -> 1.123456789012345
1491-- next four flag Rounded because the 0 extends the result
1492ddfma371476 fma 1 1.123456789012345 0E-16 -> 1.123456789012345 Rounded
1493ddfma371477 fma 1 1.123456789012345 0E-17 -> 1.123456789012345 Rounded
1494ddfma371478 fma 1 1.123456789012345 0E-18 -> 1.123456789012345 Rounded
1495ddfma371479 fma 1 1.123456789012345 0E-19 -> 1.123456789012345 Rounded
1496
1497-- sum of two opposite-sign operands is exactly 0 and floor => -0
1498rounding: half_up
1499-- exact zeros from zeros
1500ddfma371500 fma 1 0 0E-19 -> 0E-19
1501ddfma371501 fma 1 -0 0E-19 -> 0E-19
1502ddfma371502 fma 1 0 -0E-19 -> 0E-19
1503ddfma371503 fma 1 -0 -0E-19 -> -0E-19
1504-- exact zeros from non-zeros
1505ddfma371511 fma 1 -11 11 -> 0
1506ddfma371512 fma 1 11 -11 -> 0
1507
1508rounding: half_down
1509-- exact zeros from zeros
1510ddfma371520 fma 1 0 0E-19 -> 0E-19
1511ddfma371521 fma 1 -0 0E-19 -> 0E-19
1512ddfma371522 fma 1 0 -0E-19 -> 0E-19
1513ddfma371523 fma 1 -0 -0E-19 -> -0E-19
1514-- exact zeros from non-zeros
1515ddfma371531 fma 1 -11 11 -> 0
1516ddfma371532 fma 1 11 -11 -> 0
1517
1518rounding: half_even
1519-- exact zeros from zeros
1520ddfma371540 fma 1 0 0E-19 -> 0E-19
1521ddfma371541 fma 1 -0 0E-19 -> 0E-19
1522ddfma371542 fma 1 0 -0E-19 -> 0E-19
1523ddfma371543 fma 1 -0 -0E-19 -> -0E-19
1524-- exact zeros from non-zeros
1525ddfma371551 fma 1 -11 11 -> 0
1526ddfma371552 fma 1 11 -11 -> 0
1527
1528rounding: up
1529-- exact zeros from zeros
1530ddfma371560 fma 1 0 0E-19 -> 0E-19
1531ddfma371561 fma 1 -0 0E-19 -> 0E-19
1532ddfma371562 fma 1 0 -0E-19 -> 0E-19
1533ddfma371563 fma 1 -0 -0E-19 -> -0E-19
1534-- exact zeros from non-zeros
1535ddfma371571 fma 1 -11 11 -> 0
1536ddfma371572 fma 1 11 -11 -> 0
1537
1538rounding: down
1539-- exact zeros from zeros
1540ddfma371580 fma 1 0 0E-19 -> 0E-19
1541ddfma371581 fma 1 -0 0E-19 -> 0E-19
1542ddfma371582 fma 1 0 -0E-19 -> 0E-19
1543ddfma371583 fma 1 -0 -0E-19 -> -0E-19
1544-- exact zeros from non-zeros
1545ddfma371591 fma 1 -11 11 -> 0
1546ddfma371592 fma 1 11 -11 -> 0
1547
1548rounding: ceiling
1549-- exact zeros from zeros
1550ddfma371600 fma 1 0 0E-19 -> 0E-19
1551ddfma371601 fma 1 -0 0E-19 -> 0E-19
1552ddfma371602 fma 1 0 -0E-19 -> 0E-19
1553ddfma371603 fma 1 -0 -0E-19 -> -0E-19
1554-- exact zeros from non-zeros
1555ddfma371611 fma 1 -11 11 -> 0
1556ddfma371612 fma 1 11 -11 -> 0
1557
1558-- and the extra-special ugly case; unusual minuses marked by -- *
1559rounding: floor
1560-- exact zeros from zeros
1561ddfma371620 fma 1 0 0E-19 -> 0E-19
1562ddfma371621 fma 1 -0 0E-19 -> -0E-19 -- *
1563ddfma371622 fma 1 0 -0E-19 -> -0E-19 -- *
1564ddfma371623 fma 1 -0 -0E-19 -> -0E-19
1565-- exact zeros from non-zeros
1566ddfma371631 fma 1 -11 11 -> -0 -- *
1567ddfma371632 fma 1 11 -11 -> -0 -- *
1568
1569-- Examples from SQL proposal (Krishna Kulkarni)
1570ddfma371701 fma 1 130E-2 120E-2 -> 2.50
1571ddfma371702 fma 1 130E-2 12E-1 -> 2.50
1572ddfma371703 fma 1 130E-2 1E0 -> 2.30
1573ddfma371704 fma 1 1E2 1E4 -> 1.01E+4
1574ddfma371705 fma 1 130E-2 -120E-2 -> 0.10
1575ddfma371706 fma 1 130E-2 -12E-1 -> 0.10
1576ddfma371707 fma 1 130E-2 -1E0 -> 0.30
1577ddfma371708 fma 1 1E2 -1E4 -> -9.9E+3
1578
1579-- Gappy coefficients; check residue handling even with full coefficient gap
1580rounding: half_even
1581
1582ddfma375001 fma 1 1234567890123456 1 -> 1234567890123457
1583ddfma375002 fma 1 1234567890123456 0.6 -> 1234567890123457 Inexact Rounded
1584ddfma375003 fma 1 1234567890123456 0.06 -> 1234567890123456 Inexact Rounded
1585ddfma375004 fma 1 1234567890123456 6E-3 -> 1234567890123456 Inexact Rounded
1586ddfma375005 fma 1 1234567890123456 6E-4 -> 1234567890123456 Inexact Rounded
1587ddfma375006 fma 1 1234567890123456 6E-5 -> 1234567890123456 Inexact Rounded
1588ddfma375007 fma 1 1234567890123456 6E-6 -> 1234567890123456 Inexact Rounded
1589ddfma375008 fma 1 1234567890123456 6E-7 -> 1234567890123456 Inexact Rounded
1590ddfma375009 fma 1 1234567890123456 6E-8 -> 1234567890123456 Inexact Rounded
1591ddfma375010 fma 1 1234567890123456 6E-9 -> 1234567890123456 Inexact Rounded
1592ddfma375011 fma 1 1234567890123456 6E-10 -> 1234567890123456 Inexact Rounded
1593ddfma375012 fma 1 1234567890123456 6E-11 -> 1234567890123456 Inexact Rounded
1594ddfma375013 fma 1 1234567890123456 6E-12 -> 1234567890123456 Inexact Rounded
1595ddfma375014 fma 1 1234567890123456 6E-13 -> 1234567890123456 Inexact Rounded
1596ddfma375015 fma 1 1234567890123456 6E-14 -> 1234567890123456 Inexact Rounded
1597ddfma375016 fma 1 1234567890123456 6E-15 -> 1234567890123456 Inexact Rounded
1598ddfma375017 fma 1 1234567890123456 6E-16 -> 1234567890123456 Inexact Rounded
1599ddfma375018 fma 1 1234567890123456 6E-17 -> 1234567890123456 Inexact Rounded
1600ddfma375019 fma 1 1234567890123456 6E-18 -> 1234567890123456 Inexact Rounded
1601ddfma375020 fma 1 1234567890123456 6E-19 -> 1234567890123456 Inexact Rounded
1602ddfma375021 fma 1 1234567890123456 6E-20 -> 1234567890123456 Inexact Rounded
1603
1604-- widening second argument at gap
1605ddfma375030 fma 1 12345678 1 -> 12345679
1606ddfma375031 fma 1 12345678 0.1 -> 12345678.1
1607ddfma375032 fma 1 12345678 0.12 -> 12345678.12
1608ddfma375033 fma 1 12345678 0.123 -> 12345678.123
1609ddfma375034 fma 1 12345678 0.1234 -> 12345678.1234
1610ddfma375035 fma 1 12345678 0.12345 -> 12345678.12345
1611ddfma375036 fma 1 12345678 0.123456 -> 12345678.123456
1612ddfma375037 fma 1 12345678 0.1234567 -> 12345678.1234567
1613ddfma375038 fma 1 12345678 0.12345678 -> 12345678.12345678
1614ddfma375039 fma 1 12345678 0.123456789 -> 12345678.12345679 Inexact Rounded
1615ddfma375040 fma 1 12345678 0.123456785 -> 12345678.12345678 Inexact Rounded
1616ddfma375041 fma 1 12345678 0.1234567850 -> 12345678.12345678 Inexact Rounded
1617ddfma375042 fma 1 12345678 0.1234567851 -> 12345678.12345679 Inexact Rounded
1618ddfma375043 fma 1 12345678 0.12345678501 -> 12345678.12345679 Inexact Rounded
1619ddfma375044 fma 1 12345678 0.123456785001 -> 12345678.12345679 Inexact Rounded
1620ddfma375045 fma 1 12345678 0.1234567850001 -> 12345678.12345679 Inexact Rounded
1621ddfma375046 fma 1 12345678 0.12345678500001 -> 12345678.12345679 Inexact Rounded
1622ddfma375047 fma 1 12345678 0.123456785000001 -> 12345678.12345679 Inexact Rounded
1623ddfma375048 fma 1 12345678 0.1234567850000001 -> 12345678.12345679 Inexact Rounded
1624ddfma375049 fma 1 12345678 0.1234567850000000 -> 12345678.12345678 Inexact Rounded
1625-- 90123456
1626rounding: half_even
1627ddfma375050 fma 1 12345678 0.0234567750000000 -> 12345678.02345678 Inexact Rounded
1628ddfma375051 fma 1 12345678 0.0034567750000000 -> 12345678.00345678 Inexact Rounded
1629ddfma375052 fma 1 12345678 0.0004567750000000 -> 12345678.00045678 Inexact Rounded
1630ddfma375053 fma 1 12345678 0.0000567750000000 -> 12345678.00005678 Inexact Rounded
1631ddfma375054 fma 1 12345678 0.0000067750000000 -> 12345678.00000678 Inexact Rounded
1632ddfma375055 fma 1 12345678 0.0000007750000000 -> 12345678.00000078 Inexact Rounded
1633ddfma375056 fma 1 12345678 0.0000000750000000 -> 12345678.00000008 Inexact Rounded
1634ddfma375057 fma 1 12345678 0.0000000050000000 -> 12345678.00000000 Inexact Rounded
1635ddfma375060 fma 1 12345678 0.0234567750000001 -> 12345678.02345678 Inexact Rounded
1636ddfma375061 fma 1 12345678 0.0034567750000001 -> 12345678.00345678 Inexact Rounded
1637ddfma375062 fma 1 12345678 0.0004567750000001 -> 12345678.00045678 Inexact Rounded
1638ddfma375063 fma 1 12345678 0.0000567750000001 -> 12345678.00005678 Inexact Rounded
1639ddfma375064 fma 1 12345678 0.0000067750000001 -> 12345678.00000678 Inexact Rounded
1640ddfma375065 fma 1 12345678 0.0000007750000001 -> 12345678.00000078 Inexact Rounded
1641ddfma375066 fma 1 12345678 0.0000000750000001 -> 12345678.00000008 Inexact Rounded
1642ddfma375067 fma 1 12345678 0.0000000050000001 -> 12345678.00000001 Inexact Rounded
1643-- far-out residues (full coefficient gap is 16+15 digits)
1644rounding: up
1645ddfma375070 fma 1 12345678 1E-8 -> 12345678.00000001
1646ddfma375071 fma 1 12345678 1E-9 -> 12345678.00000001 Inexact Rounded
1647ddfma375072 fma 1 12345678 1E-10 -> 12345678.00000001 Inexact Rounded
1648ddfma375073 fma 1 12345678 1E-11 -> 12345678.00000001 Inexact Rounded
1649ddfma375074 fma 1 12345678 1E-12 -> 12345678.00000001 Inexact Rounded
1650ddfma375075 fma 1 12345678 1E-13 -> 12345678.00000001 Inexact Rounded
1651ddfma375076 fma 1 12345678 1E-14 -> 12345678.00000001 Inexact Rounded
1652ddfma375077 fma 1 12345678 1E-15 -> 12345678.00000001 Inexact Rounded
1653ddfma375078 fma 1 12345678 1E-16 -> 12345678.00000001 Inexact Rounded
1654ddfma375079 fma 1 12345678 1E-17 -> 12345678.00000001 Inexact Rounded
1655ddfma375080 fma 1 12345678 1E-18 -> 12345678.00000001 Inexact Rounded
1656ddfma375081 fma 1 12345678 1E-19 -> 12345678.00000001 Inexact Rounded
1657ddfma375082 fma 1 12345678 1E-20 -> 12345678.00000001 Inexact Rounded
1658ddfma375083 fma 1 12345678 1E-25 -> 12345678.00000001 Inexact Rounded
1659ddfma375084 fma 1 12345678 1E-30 -> 12345678.00000001 Inexact Rounded
1660ddfma375085 fma 1 12345678 1E-31 -> 12345678.00000001 Inexact Rounded
1661ddfma375086 fma 1 12345678 1E-32 -> 12345678.00000001 Inexact Rounded
1662ddfma375087 fma 1 12345678 1E-33 -> 12345678.00000001 Inexact Rounded
1663ddfma375088 fma 1 12345678 1E-34 -> 12345678.00000001 Inexact Rounded
1664ddfma375089 fma 1 12345678 1E-35 -> 12345678.00000001 Inexact Rounded
1665
1666-- desctructive subtraction (from remainder tests)
1667
1668-- +++ some of these will be off-by-one remainder vs remainderNear
1669
1670ddfma4000 fma -1234567890123454 1.000000000000001 1234567890123456 -> 0.765432109876546
1671ddfma4001 fma -1234567890123443 1.00000000000001 1234567890123456 -> 0.65432109876557
1672ddfma4002 fma -1234567890123332 1.0000000000001 1234567890123456 -> 0.5432109876668
1673ddfma4003 fma -308641972530863 4.000000000000001 1234567890123455 -> 2.691358027469137
1674ddfma4004 fma -308641972530863 4.000000000000001 1234567890123456 -> 3.691358027469137
1675ddfma4005 fma -246913578024696 4.9999999999999 1234567890123456 -> 0.6913578024696
1676ddfma4006 fma -246913578024691 4.99999999999999 1234567890123456 -> 3.46913578024691
1677ddfma4007 fma -246913578024691 4.999999999999999 1234567890123456 -> 1.246913578024691
1678ddfma4008 fma -246913578024691 5.000000000000001 1234567890123456 -> 0.753086421975309
1679ddfma4009 fma -246913578024690 5.00000000000001 1234567890123456 -> 3.53086421975310
1680ddfma4010 fma -246913578024686 5.0000000000001 1234567890123456 -> 1.3086421975314
1681ddfma4011 fma -1234567890123455 1.000000000000001 1234567890123456 -> -0.234567890123455
1682ddfma4012 fma -1234567890123444 1.00000000000001 1234567890123456 -> -0.34567890123444
1683ddfma4013 fma -1234567890123333 1.0000000000001 1234567890123456 -> -0.4567890123333
1684ddfma4014 fma -308641972530864 4.000000000000001 1234567890123455 -> -1.308641972530864
1685ddfma4015 fma -308641972530864 4.000000000000001 1234567890123456 -> -0.308641972530864
1686ddfma4016 fma -246913578024696 4.9999999999999 1234567890123456 -> 0.6913578024696
1687ddfma4017 fma -246913578024692 4.99999999999999 1234567890123456 -> -1.53086421975308
1688ddfma4018 fma -246913578024691 4.999999999999999 1234567890123456 -> 1.246913578024691
1689ddfma4019 fma -246913578024691 5.000000000000001 1234567890123456 -> 0.753086421975309
1690ddfma4020 fma -246913578024691 5.00000000000001 1234567890123456 -> -1.46913578024691
1691ddfma4021 fma -246913578024686 5.0000000000001 1234567890123456 -> 1.3086421975314
1692
1693
1694-- Null tests
1695ddfma39990 fma 1 10 # -> NaN Invalid_operation
1696ddfma39991 fma 1 # 10 -> NaN Invalid_operation
1697
1698
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