blob: b0a81ca17910d2bf3b3c8ab9fed065b570780f71 [file] [log] [blame]
Thomas Wouters1b7f8912007-09-19 03:06:30 +00001------------------------------------------------------------------------
2-- fma.decTest -- decimal fused multiply add --
Benjamin Petersonf17ff4e2008-07-31 16:32:12 +00003-- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. --
Thomas Wouters1b7f8912007-09-19 03:06:30 +00004------------------------------------------------------------------------
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------------------------------------------------------------------------
Mark Dickinson8a546532009-10-08 16:30:38 +000020version: 2.59
Thomas Wouters1b7f8912007-09-19 03:06:30 +000021
22extended: 1
23precision: 9
24rounding: half_up
25maxExponent: 384
26minexponent: -383
27
28-- These tests comprese three parts:
29-- 1. Sanity checks and other three-operand tests (especially those
30-- where the fused operation makes a difference)
31-- 2. Multiply tests (third operand is neutral zero [0E+emax])
32-- 3. Addition tests (first operand is 1)
33-- The multiply and addition tests are extensive because FMA may have
34-- its own dedicated multiplication or addition routine(s), and they
35-- also inherently check the left-to-right properties.
36
37-- Sanity checks
38fmax0001 fma 1 1 1 -> 2
39fmax0002 fma 1 1 2 -> 3
40fmax0003 fma 2 2 3 -> 7
41fmax0004 fma 9 9 9 -> 90
42fmax0005 fma -1 1 1 -> 0
43fmax0006 fma -1 1 2 -> 1
44fmax0007 fma -2 2 3 -> -1
45fmax0008 fma -9 9 9 -> -72
46fmax0011 fma 1 -1 1 -> 0
47fmax0012 fma 1 -1 2 -> 1
48fmax0013 fma 2 -2 3 -> -1
49fmax0014 fma 9 -9 9 -> -72
50fmax0015 fma 1 1 -1 -> 0
51fmax0016 fma 1 1 -2 -> -1
52fmax0017 fma 2 2 -3 -> 1
53fmax0018 fma 9 9 -9 -> 72
54fmax0019 fma 3 5 7 -> 22
55fmax0029 fma 3 -5 7 -> -8
56
57-- non-integer exacts
58fma0100 fma 25.2 63.6 -438 -> 1164.72
59fma0101 fma 0.301 0.380 334 -> 334.114380
60fma0102 fma 49.2 -4.8 23.3 -> -212.86
61fma0103 fma 4.22 0.079 -94.6 -> -94.26662
62fma0104 fma 903 0.797 0.887 -> 720.578
63fma0105 fma 6.13 -161 65.9 -> -921.03
64fma0106 fma 28.2 727 5.45 -> 20506.85
65fma0107 fma 4 605 688 -> 3108
66fma0108 fma 93.3 0.19 0.226 -> 17.953
67fma0109 fma 0.169 -341 5.61 -> -52.019
68fma0110 fma -72.2 30 -51.2 -> -2217.2
69fma0111 fma -0.409 13 20.4 -> 15.083
70fma0112 fma 317 77.0 19.0 -> 24428.0
71fma0113 fma 47 6.58 1.62 -> 310.88
72fma0114 fma 1.36 0.984 0.493 -> 1.83124
73fma0115 fma 72.7 274 1.56 -> 19921.36
74fma0116 fma 335 847 83 -> 283828
75fma0117 fma 666 0.247 25.4 -> 189.902
76fma0118 fma -3.87 3.06 78.0 -> 66.1578
77fma0119 fma 0.742 192 35.6 -> 178.064
78fma0120 fma -91.6 5.29 0.153 -> -484.411
79
80-- cases where result is different from separate multiply + add; each
81-- is preceded by the result of unfused multiply and add
82-- [this is about 20% of all similar cases in general]
83-- 888565290 1557.96930 -86087.7578 -> 1.38435735E+12
84fma0201 fma 888565290 1557.96930 -86087.7578 -> 1.38435736E+12 Inexact Rounded
85-- -85519342.9 735155419 42010431 -> -6.28700084E+16
86fma0205 fma -85519342.9 735155419 42010431 -> -6.28700083E+16 Inexact Rounded
87-- -98025.5 -294603.472 10414348.2 -> 2.88890669E+10
88fma0208 fma -98025.5 -294603.472 10414348.2 -> 2.88890670E+10 Inexact Rounded
89-- 5967627.39 83526540.6 498494.810 -> 4.98455271E+14
90fma0211 fma 5967627.39 83526540.6 498494.810 -> 4.98455272E+14 Inexact Rounded
91-- 3456.9433 874.39518 197866.615 -> 3220601.18
92fma0216 fma 3456.9433 874.39518 197866.615 -> 3220601.17 Inexact Rounded
93-- 62769.8287 2096.98927 48.420317 -> 131627705
94fma0218 fma 62769.8287 2096.98927 48.420317 -> 131627706 Inexact Rounded
95-- -68.81500 59961113.9 -8988862 -> -4.13521291E+9
96fma0219 fma -68.81500 59961113.9 -8988862 -> -4.13521292E+9 Inexact Rounded
97-- 2126341.02 63491.5152 302427455 -> 1.35307040E+11
98fma0226 fma 2126341.02 63491.5152 302427455 -> 1.35307041E+11 Inexact Rounded
99
100
101-- Infinite combinations
102fmax0800 fma Inf Inf Inf -> Infinity
103fmax0801 fma Inf Inf -Inf -> NaN Invalid_operation
104fmax0802 fma Inf -Inf Inf -> NaN Invalid_operation
105fmax0803 fma Inf -Inf -Inf -> -Infinity
106fmax0804 fma -Inf Inf Inf -> NaN Invalid_operation
107fmax0805 fma -Inf Inf -Inf -> -Infinity
108fmax0806 fma -Inf -Inf Inf -> Infinity
109fmax0807 fma -Inf -Inf -Inf -> NaN Invalid_operation
110fmax0808 fma -Inf 0 1 -> NaN Invalid_operation
111fmax0809 fma -Inf 0 NaN -> NaN Invalid_operation
112
113-- Triple NaN propagation
114fmax0900 fma NaN2 NaN3 NaN5 -> NaN2
115fmax0901 fma 0 NaN3 NaN5 -> NaN3
116fmax0902 fma 0 0 NaN5 -> NaN5
117-- first sNaN wins (consider qNaN from earlier sNaN being
118-- overridden by an sNaN in third operand)
119fmax0903 fma sNaN1 sNaN2 sNaN3 -> NaN1 Invalid_operation
120fmax0904 fma 0 sNaN2 sNaN3 -> NaN2 Invalid_operation
121fmax0905 fma 0 0 sNaN3 -> NaN3 Invalid_operation
122fmax0906 fma sNaN1 sNaN2 sNaN3 -> NaN1 Invalid_operation
123fmax0907 fma NaN7 sNaN2 sNaN3 -> NaN2 Invalid_operation
124fmax0908 fma NaN7 NaN5 sNaN3 -> NaN3 Invalid_operation
125
126-- MULTIPLICATION TESTS ------------------------------------------------
127-- sanity checks (as base, above)
128fmax2000 fma 2 2 0E+999999 -> 4
129fmax2001 fma 2 3 0E+999999 -> 6
130fmax2002 fma 5 1 0E+999999 -> 5
131fmax2003 fma 5 2 0E+999999 -> 10
132fmax2004 fma 1.20 2 0E+999999 -> 2.40
133fmax2005 fma 1.20 0 0E+999999 -> 0.00
134fmax2006 fma 1.20 -2 0E+999999 -> -2.40
135fmax2007 fma -1.20 2 0E+999999 -> -2.40
136fmax2008 fma -1.20 0 0E+999999 -> 0.00
137fmax2009 fma -1.20 -2 0E+999999 -> 2.40
138fmax2010 fma 5.09 7.1 0E+999999 -> 36.139
139fmax2011 fma 2.5 4 0E+999999 -> 10.0
140fmax2012 fma 2.50 4 0E+999999 -> 10.00
141fmax2013 fma 1.23456789 1.00000000 0E+999999 -> 1.23456789 Rounded
142fmax2014 fma 9.999999999 9.999999999 0E+999999 -> 100.000000 Inexact Rounded
143fmax2015 fma 2.50 4 0E+999999 -> 10.00
144precision: 6
145fmax2016 fma 2.50 4 0E+999999 -> 10.00
146fmax2017 fma 9.999999 9.999999 0E+999999 -> 100.000 Inexact Rounded
147fmax2018 fma 9.999999 -9.999999 0E+999999 -> -100.000 Inexact Rounded
148fmax2019 fma -9.999999 9.999999 0E+999999 -> -100.000 Inexact Rounded
149fmax2020 fma -9.999999 -9.999999 0E+999999 -> 100.000 Inexact Rounded
150
151-- 1999.12.21: next one is a edge case if intermediate longs are used
152precision: 15
153fmax2059 fma 999999999999 9765625 0E+999999 -> 9.76562499999023E+18 Inexact Rounded
154precision: 30
155fmax2160 fma 999999999999 9765625 0E+999999 -> 9765624999990234375
156precision: 9
157-----
158
159-- zeros, etc.
160fmax2021 fma 0 0 0E+999999 -> 0
161fmax2022 fma 0 -0 0E+999999 -> 0
162fmax2023 fma -0 0 0E+999999 -> 0
163fmax2024 fma -0 -0 0E+999999 -> 0
164fmax2025 fma -0.0 -0.0 0E+999999 -> 0.00
165fmax2026 fma -0.0 -0.0 0E+999999 -> 0.00
166fmax2027 fma -0.0 -0.0 0E+999999 -> 0.00
167fmax2028 fma -0.0 -0.0 0E+999999 -> 0.00
168fmax2030 fma 5.00 1E-3 0E+999999 -> 0.00500
169fmax2031 fma 00.00 0.000 0E+999999 -> 0.00000
170fmax2032 fma 00.00 0E-3 0E+999999 -> 0.00000 -- rhs is 0
171fmax2033 fma 0E-3 00.00 0E+999999 -> 0.00000 -- lhs is 0
172fmax2034 fma -5.00 1E-3 0E+999999 -> -0.00500
173fmax2035 fma -00.00 0.000 0E+999999 -> 0.00000
174fmax2036 fma -00.00 0E-3 0E+999999 -> 0.00000 -- rhs is 0
175fmax2037 fma -0E-3 00.00 0E+999999 -> 0.00000 -- lhs is 0
176fmax2038 fma 5.00 -1E-3 0E+999999 -> -0.00500
177fmax2039 fma 00.00 -0.000 0E+999999 -> 0.00000
178fmax2040 fma 00.00 -0E-3 0E+999999 -> 0.00000 -- rhs is 0
179fmax2041 fma 0E-3 -00.00 0E+999999 -> 0.00000 -- lhs is 0
180fmax2042 fma -5.00 -1E-3 0E+999999 -> 0.00500
181fmax2043 fma -00.00 -0.000 0E+999999 -> 0.00000
182fmax2044 fma -00.00 -0E-3 0E+999999 -> 0.00000 -- rhs is 0
183fmax2045 fma -0E-3 -00.00 0E+999999 -> 0.00000 -- lhs is 0
184
185-- examples from decarith multiply
186fmax2050 fma 1.20 3 0E+999999 -> 3.60
187fmax2051 fma 7 3 0E+999999 -> 21
188fmax2052 fma 0.9 0.8 0E+999999 -> 0.72
189fmax2053 fma 0.9 -0 0E+999999 -> 0.0
190fmax2054 fma 654321 654321 0E+999999 -> 4.28135971E+11 Inexact Rounded
191
192fmax2060 fma 123.45 1e7 0E+999999 -> 1.2345E+9
193fmax2061 fma 123.45 1e8 0E+999999 -> 1.2345E+10
194fmax2062 fma 123.45 1e+9 0E+999999 -> 1.2345E+11
195fmax2063 fma 123.45 1e10 0E+999999 -> 1.2345E+12
196fmax2064 fma 123.45 1e11 0E+999999 -> 1.2345E+13
197fmax2065 fma 123.45 1e12 0E+999999 -> 1.2345E+14
198fmax2066 fma 123.45 1e13 0E+999999 -> 1.2345E+15
199
200
201-- test some intermediate lengths
202precision: 9
203fmax2080 fma 0.1 123456789 0E+999999 -> 12345678.9
204fmax2081 fma 0.1 1234567891 0E+999999 -> 123456789 Inexact Rounded
205fmax2082 fma 0.1 12345678912 0E+999999 -> 1.23456789E+9 Inexact Rounded
206fmax2083 fma 0.1 12345678912345 0E+999999 -> 1.23456789E+12 Inexact Rounded
207fmax2084 fma 0.1 123456789 0E+999999 -> 12345678.9
208precision: 8
209fmax2085 fma 0.1 12345678912 0E+999999 -> 1.2345679E+9 Inexact Rounded
210fmax2086 fma 0.1 12345678912345 0E+999999 -> 1.2345679E+12 Inexact Rounded
211precision: 7
212fmax2087 fma 0.1 12345678912 0E+999999 -> 1.234568E+9 Inexact Rounded
213fmax2088 fma 0.1 12345678912345 0E+999999 -> 1.234568E+12 Inexact Rounded
214
215precision: 9
216fmax2090 fma 123456789 0.1 0E+999999 -> 12345678.9
217fmax2091 fma 1234567891 0.1 0E+999999 -> 123456789 Inexact Rounded
218fmax2092 fma 12345678912 0.1 0E+999999 -> 1.23456789E+9 Inexact Rounded
219fmax2093 fma 12345678912345 0.1 0E+999999 -> 1.23456789E+12 Inexact Rounded
220fmax2094 fma 123456789 0.1 0E+999999 -> 12345678.9
221precision: 8
222fmax2095 fma 12345678912 0.1 0E+999999 -> 1.2345679E+9 Inexact Rounded
223fmax2096 fma 12345678912345 0.1 0E+999999 -> 1.2345679E+12 Inexact Rounded
224precision: 7
225fmax2097 fma 12345678912 0.1 0E+999999 -> 1.234568E+9 Inexact Rounded
226fmax2098 fma 12345678912345 0.1 0E+999999 -> 1.234568E+12 Inexact Rounded
227
228-- test some more edge cases and carries
229maxexponent: 9999
230minexponent: -9999
231precision: 33
232fmax2101 fma 9 9 0E+999999 -> 81
233fmax2102 fma 9 90 0E+999999 -> 810
234fmax2103 fma 9 900 0E+999999 -> 8100
235fmax2104 fma 9 9000 0E+999999 -> 81000
236fmax2105 fma 9 90000 0E+999999 -> 810000
237fmax2106 fma 9 900000 0E+999999 -> 8100000
238fmax2107 fma 9 9000000 0E+999999 -> 81000000
239fmax2108 fma 9 90000000 0E+999999 -> 810000000
240fmax2109 fma 9 900000000 0E+999999 -> 8100000000
241fmax2110 fma 9 9000000000 0E+999999 -> 81000000000
242fmax2111 fma 9 90000000000 0E+999999 -> 810000000000
243fmax2112 fma 9 900000000000 0E+999999 -> 8100000000000
244fmax2113 fma 9 9000000000000 0E+999999 -> 81000000000000
245fmax2114 fma 9 90000000000000 0E+999999 -> 810000000000000
246fmax2115 fma 9 900000000000000 0E+999999 -> 8100000000000000
247fmax2116 fma 9 9000000000000000 0E+999999 -> 81000000000000000
248fmax2117 fma 9 90000000000000000 0E+999999 -> 810000000000000000
249fmax2118 fma 9 900000000000000000 0E+999999 -> 8100000000000000000
250fmax2119 fma 9 9000000000000000000 0E+999999 -> 81000000000000000000
251fmax2120 fma 9 90000000000000000000 0E+999999 -> 810000000000000000000
252fmax2121 fma 9 900000000000000000000 0E+999999 -> 8100000000000000000000
253fmax2122 fma 9 9000000000000000000000 0E+999999 -> 81000000000000000000000
254fmax2123 fma 9 90000000000000000000000 0E+999999 -> 810000000000000000000000
255-- test some more edge cases without carries
256fmax2131 fma 3 3 0E+999999 -> 9
257fmax2132 fma 3 30 0E+999999 -> 90
258fmax2133 fma 3 300 0E+999999 -> 900
259fmax2134 fma 3 3000 0E+999999 -> 9000
260fmax2135 fma 3 30000 0E+999999 -> 90000
261fmax2136 fma 3 300000 0E+999999 -> 900000
262fmax2137 fma 3 3000000 0E+999999 -> 9000000
263fmax2138 fma 3 30000000 0E+999999 -> 90000000
264fmax2139 fma 3 300000000 0E+999999 -> 900000000
265fmax2140 fma 3 3000000000 0E+999999 -> 9000000000
266fmax2141 fma 3 30000000000 0E+999999 -> 90000000000
267fmax2142 fma 3 300000000000 0E+999999 -> 900000000000
268fmax2143 fma 3 3000000000000 0E+999999 -> 9000000000000
269fmax2144 fma 3 30000000000000 0E+999999 -> 90000000000000
270fmax2145 fma 3 300000000000000 0E+999999 -> 900000000000000
271fmax2146 fma 3 3000000000000000 0E+999999 -> 9000000000000000
272fmax2147 fma 3 30000000000000000 0E+999999 -> 90000000000000000
273fmax2148 fma 3 300000000000000000 0E+999999 -> 900000000000000000
274fmax2149 fma 3 3000000000000000000 0E+999999 -> 9000000000000000000
275fmax2150 fma 3 30000000000000000000 0E+999999 -> 90000000000000000000
276fmax2151 fma 3 300000000000000000000 0E+999999 -> 900000000000000000000
277fmax2152 fma 3 3000000000000000000000 0E+999999 -> 9000000000000000000000
278fmax2153 fma 3 30000000000000000000000 0E+999999 -> 90000000000000000000000
279
280maxexponent: 999999
281minexponent: -999999
282precision: 9
283-- test some cases that are close to exponent overflow/underflow
284fmax2170 fma 1 9e999999 0E+999999 -> 9E+999999
285fmax2171 fma 1 9.9e999999 0E+999999 -> 9.9E+999999
286fmax2172 fma 1 9.99e999999 0E+999999 -> 9.99E+999999
287fmax2173 fma 9e999999 1 0E+999999 -> 9E+999999
288fmax2174 fma 9.9e999999 1 0E+999999 -> 9.9E+999999
289fmax2176 fma 9.99e999999 1 0E+999999 -> 9.99E+999999
290fmax2177 fma 1 9.99999e999999 0E+999999 -> 9.99999E+999999
291fmax2178 fma 9.99999e999999 1 0E+999999 -> 9.99999E+999999
292
293fmax2180 fma 0.1 9e-999998 0E+999999 -> 9E-999999
294fmax2181 fma 0.1 99e-999998 0E+999999 -> 9.9E-999998
295fmax2182 fma 0.1 999e-999998 0E+999999 -> 9.99E-999997
296
297fmax2183 fma 0.1 9e-999998 0E+999999 -> 9E-999999
298fmax2184 fma 0.1 99e-999998 0E+999999 -> 9.9E-999998
299fmax2185 fma 0.1 999e-999998 0E+999999 -> 9.99E-999997
300fmax2186 fma 0.1 999e-999997 0E+999999 -> 9.99E-999996
301fmax2187 fma 0.1 9999e-999997 0E+999999 -> 9.999E-999995
302fmax2188 fma 0.1 99999e-999997 0E+999999 -> 9.9999E-999994
303
304fmax2190 fma 1 9e-999998 0E+999999 -> 9E-999998
305fmax2191 fma 1 99e-999998 0E+999999 -> 9.9E-999997
306fmax2192 fma 1 999e-999998 0E+999999 -> 9.99E-999996
307fmax2193 fma 9e-999998 1 0E+999999 -> 9E-999998
308fmax2194 fma 99e-999998 1 0E+999999 -> 9.9E-999997
309fmax2195 fma 999e-999998 1 0E+999999 -> 9.99E-999996
310
311-- long operand triangle
312precision: 33
313fmax2246 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.290801193369671916511992830 Inexact Rounded
314precision: 32
315fmax2247 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.29080119336967191651199283 Inexact Rounded
316precision: 31
317fmax2248 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.2908011933696719165119928 Inexact Rounded
318precision: 30
319fmax2249 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.290801193369671916511993 Inexact Rounded
320precision: 29
321fmax2250 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.29080119336967191651199 Inexact Rounded
322precision: 28
323fmax2251 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.2908011933696719165120 Inexact Rounded
324precision: 27
325fmax2252 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.290801193369671916512 Inexact Rounded
326precision: 26
327fmax2253 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.29080119336967191651 Inexact Rounded
328precision: 25
329fmax2254 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.2908011933696719165 Inexact Rounded
330precision: 24
331fmax2255 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.290801193369671917 Inexact Rounded
332precision: 23
333fmax2256 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.29080119336967192 Inexact Rounded
334precision: 22
335fmax2257 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.2908011933696719 Inexact Rounded
336precision: 21
337fmax2258 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.290801193369672 Inexact Rounded
338precision: 20
339fmax2259 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.29080119336967 Inexact Rounded
340precision: 19
341fmax2260 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.2908011933697 Inexact Rounded
342precision: 18
343fmax2261 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.290801193370 Inexact Rounded
344precision: 17
345fmax2262 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.29080119337 Inexact Rounded
346precision: 16
347fmax2263 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.2908011934 Inexact Rounded
348precision: 15
349fmax2264 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.290801193 Inexact Rounded
350precision: 14
351fmax2265 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.29080119 Inexact Rounded
352precision: 13
353fmax2266 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.2908012 Inexact Rounded
354precision: 12
355fmax2267 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.290801 Inexact Rounded
356precision: 11
357fmax2268 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.29080 Inexact Rounded
358precision: 10
359fmax2269 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.2908 Inexact Rounded
360precision: 9
361fmax2270 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.291 Inexact Rounded
362precision: 8
363fmax2271 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.29 Inexact Rounded
364precision: 7
365fmax2272 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.3 Inexact Rounded
366precision: 6
367fmax2273 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433 Inexact Rounded
368precision: 5
369fmax2274 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 1.4543E+5 Inexact Rounded
370precision: 4
371fmax2275 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 1.454E+5 Inexact Rounded
372precision: 3
373fmax2276 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 1.45E+5 Inexact Rounded
374precision: 2
375fmax2277 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 1.5E+5 Inexact Rounded
376precision: 1
377fmax2278 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 1E+5 Inexact Rounded
378
379-- test some edge cases with exact rounding
380maxexponent: 9999
381minexponent: -9999
382precision: 9
383fmax2301 fma 9 9 0E+999999 -> 81
384fmax2302 fma 9 90 0E+999999 -> 810
385fmax2303 fma 9 900 0E+999999 -> 8100
386fmax2304 fma 9 9000 0E+999999 -> 81000
387fmax2305 fma 9 90000 0E+999999 -> 810000
388fmax2306 fma 9 900000 0E+999999 -> 8100000
389fmax2307 fma 9 9000000 0E+999999 -> 81000000
390fmax2308 fma 9 90000000 0E+999999 -> 810000000
391fmax2309 fma 9 900000000 0E+999999 -> 8.10000000E+9 Rounded
392fmax2310 fma 9 9000000000 0E+999999 -> 8.10000000E+10 Rounded
393fmax2311 fma 9 90000000000 0E+999999 -> 8.10000000E+11 Rounded
394fmax2312 fma 9 900000000000 0E+999999 -> 8.10000000E+12 Rounded
395fmax2313 fma 9 9000000000000 0E+999999 -> 8.10000000E+13 Rounded
396fmax2314 fma 9 90000000000000 0E+999999 -> 8.10000000E+14 Rounded
397fmax2315 fma 9 900000000000000 0E+999999 -> 8.10000000E+15 Rounded
398fmax2316 fma 9 9000000000000000 0E+999999 -> 8.10000000E+16 Rounded
399fmax2317 fma 9 90000000000000000 0E+999999 -> 8.10000000E+17 Rounded
400fmax2318 fma 9 900000000000000000 0E+999999 -> 8.10000000E+18 Rounded
401fmax2319 fma 9 9000000000000000000 0E+999999 -> 8.10000000E+19 Rounded
402fmax2320 fma 9 90000000000000000000 0E+999999 -> 8.10000000E+20 Rounded
403fmax2321 fma 9 900000000000000000000 0E+999999 -> 8.10000000E+21 Rounded
404fmax2322 fma 9 9000000000000000000000 0E+999999 -> 8.10000000E+22 Rounded
405fmax2323 fma 9 90000000000000000000000 0E+999999 -> 8.10000000E+23 Rounded
406
407-- fastpath breakers
408precision: 29
409fmax2330 fma 1.491824697641270317824852952837224 1.105170918075647624811707826490246514675628614562883537345747603 0E+999999 -> 1.6487212707001281468486507878 Inexact Rounded
410precision: 55
411fmax2331 fma 0.8958341352965282506768545828765117803873717284891040428 0.8958341352965282506768545828765117803873717284891040428 0E+999999 -> 0.8025187979624784829842553829934069955890983696752228299 Inexact Rounded
412
413
414-- tryzeros cases
415precision: 7
416rounding: half_up
417maxExponent: 92
418minexponent: -92
419fmax2504 fma 0E-60 1000E-60 0E+999999 -> 0E-98 Clamped
420fmax2505 fma 100E+60 0E+60 0E+999999 -> 0E+92 Clamped
421
422-- mixed with zeros
423maxexponent: 999999
424minexponent: -999999
425precision: 9
426fmax2541 fma 0 -1 0E+999999 -> 0
427fmax2542 fma -0 -1 0E+999999 -> 0
428fmax2543 fma 0 1 0E+999999 -> 0
429fmax2544 fma -0 1 0E+999999 -> 0
430fmax2545 fma -1 0 0E+999999 -> 0
431fmax2546 fma -1 -0 0E+999999 -> 0
432fmax2547 fma 1 0 0E+999999 -> 0
433fmax2548 fma 1 -0 0E+999999 -> 0
434
435fmax2551 fma 0.0 -1 0E+999999 -> 0.0
436fmax2552 fma -0.0 -1 0E+999999 -> 0.0
437fmax2553 fma 0.0 1 0E+999999 -> 0.0
438fmax2554 fma -0.0 1 0E+999999 -> 0.0
439fmax2555 fma -1.0 0 0E+999999 -> 0.0
440fmax2556 fma -1.0 -0 0E+999999 -> 0.0
441fmax2557 fma 1.0 0 0E+999999 -> 0.0
442fmax2558 fma 1.0 -0 0E+999999 -> 0.0
443
444fmax2561 fma 0 -1.0 0E+999999 -> 0.0
445fmax2562 fma -0 -1.0 0E+999999 -> 0.0
446fmax2563 fma 0 1.0 0E+999999 -> 0.0
447fmax2564 fma -0 1.0 0E+999999 -> 0.0
448fmax2565 fma -1 0.0 0E+999999 -> 0.0
449fmax2566 fma -1 -0.0 0E+999999 -> 0.0
450fmax2567 fma 1 0.0 0E+999999 -> 0.0
451fmax2568 fma 1 -0.0 0E+999999 -> 0.0
452
453fmax2571 fma 0.0 -1.0 0E+999999 -> 0.00
454fmax2572 fma -0.0 -1.0 0E+999999 -> 0.00
455fmax2573 fma 0.0 1.0 0E+999999 -> 0.00
456fmax2574 fma -0.0 1.0 0E+999999 -> 0.00
457fmax2575 fma -1.0 0.0 0E+999999 -> 0.00
458fmax2576 fma -1.0 -0.0 0E+999999 -> 0.00
459fmax2577 fma 1.0 0.0 0E+999999 -> 0.00
460fmax2578 fma 1.0 -0.0 0E+999999 -> 0.00
461
462
463-- Specials
464fmax2580 fma Inf -Inf 0E+999999 -> -Infinity
465fmax2581 fma Inf -1000 0E+999999 -> -Infinity
466fmax2582 fma Inf -1 0E+999999 -> -Infinity
467fmax2583 fma Inf -0 0E+999999 -> NaN Invalid_operation
468fmax2584 fma Inf 0 0E+999999 -> NaN Invalid_operation
469fmax2585 fma Inf 1 0E+999999 -> Infinity
470fmax2586 fma Inf 1000 0E+999999 -> Infinity
471fmax2587 fma Inf Inf 0E+999999 -> Infinity
472fmax2588 fma -1000 Inf 0E+999999 -> -Infinity
473fmax2589 fma -Inf Inf 0E+999999 -> -Infinity
474fmax2590 fma -1 Inf 0E+999999 -> -Infinity
475fmax2591 fma -0 Inf 0E+999999 -> NaN Invalid_operation
476fmax2592 fma 0 Inf 0E+999999 -> NaN Invalid_operation
477fmax2593 fma 1 Inf 0E+999999 -> Infinity
478fmax2594 fma 1000 Inf 0E+999999 -> Infinity
479fmax2595 fma Inf Inf 0E+999999 -> Infinity
480
481fmax2600 fma -Inf -Inf 0E+999999 -> Infinity
482fmax2601 fma -Inf -1000 0E+999999 -> Infinity
483fmax2602 fma -Inf -1 0E+999999 -> Infinity
484fmax2603 fma -Inf -0 0E+999999 -> NaN Invalid_operation
485fmax2604 fma -Inf 0 0E+999999 -> NaN Invalid_operation
486fmax2605 fma -Inf 1 0E+999999 -> -Infinity
487fmax2606 fma -Inf 1000 0E+999999 -> -Infinity
488fmax2607 fma -Inf Inf 0E+999999 -> -Infinity
489fmax2608 fma -1000 Inf 0E+999999 -> -Infinity
490fmax2609 fma -Inf -Inf 0E+999999 -> Infinity
491fmax2610 fma -1 -Inf 0E+999999 -> Infinity
492fmax2611 fma -0 -Inf 0E+999999 -> NaN Invalid_operation
493fmax2612 fma 0 -Inf 0E+999999 -> NaN Invalid_operation
494fmax2613 fma 1 -Inf 0E+999999 -> -Infinity
495fmax2614 fma 1000 -Inf 0E+999999 -> -Infinity
496fmax2615 fma Inf -Inf 0E+999999 -> -Infinity
497
498fmax2621 fma NaN -Inf 0E+999999 -> NaN
499fmax2622 fma NaN -1000 0E+999999 -> NaN
500fmax2623 fma NaN -1 0E+999999 -> NaN
501fmax2624 fma NaN -0 0E+999999 -> NaN
502fmax2625 fma NaN 0 0E+999999 -> NaN
503fmax2626 fma NaN 1 0E+999999 -> NaN
504fmax2627 fma NaN 1000 0E+999999 -> NaN
505fmax2628 fma NaN Inf 0E+999999 -> NaN
506fmax2629 fma NaN NaN 0E+999999 -> NaN
507fmax2630 fma -Inf NaN 0E+999999 -> NaN
508fmax2631 fma -1000 NaN 0E+999999 -> NaN
509fmax2632 fma -1 NaN 0E+999999 -> NaN
510fmax2633 fma -0 NaN 0E+999999 -> NaN
511fmax2634 fma 0 NaN 0E+999999 -> NaN
512fmax2635 fma 1 NaN 0E+999999 -> NaN
513fmax2636 fma 1000 NaN 0E+999999 -> NaN
514fmax2637 fma Inf NaN 0E+999999 -> NaN
515
516fmax2641 fma sNaN -Inf 0E+999999 -> NaN Invalid_operation
517fmax2642 fma sNaN -1000 0E+999999 -> NaN Invalid_operation
518fmax2643 fma sNaN -1 0E+999999 -> NaN Invalid_operation
519fmax2644 fma sNaN -0 0E+999999 -> NaN Invalid_operation
520fmax2645 fma sNaN 0 0E+999999 -> NaN Invalid_operation
521fmax2646 fma sNaN 1 0E+999999 -> NaN Invalid_operation
522fmax2647 fma sNaN 1000 0E+999999 -> NaN Invalid_operation
523fmax2648 fma sNaN NaN 0E+999999 -> NaN Invalid_operation
524fmax2649 fma sNaN sNaN 0E+999999 -> NaN Invalid_operation
525fmax2650 fma NaN sNaN 0E+999999 -> NaN Invalid_operation
526fmax2651 fma -Inf sNaN 0E+999999 -> NaN Invalid_operation
527fmax2652 fma -1000 sNaN 0E+999999 -> NaN Invalid_operation
528fmax2653 fma -1 sNaN 0E+999999 -> NaN Invalid_operation
529fmax2654 fma -0 sNaN 0E+999999 -> NaN Invalid_operation
530fmax2655 fma 0 sNaN 0E+999999 -> NaN Invalid_operation
531fmax2656 fma 1 sNaN 0E+999999 -> NaN Invalid_operation
532fmax2657 fma 1000 sNaN 0E+999999 -> NaN Invalid_operation
533fmax2658 fma Inf sNaN 0E+999999 -> NaN Invalid_operation
534fmax2659 fma NaN sNaN 0E+999999 -> NaN Invalid_operation
535
536-- propagating NaNs
537fmax2661 fma NaN9 -Inf 0E+999999 -> NaN9
538fmax2662 fma NaN8 999 0E+999999 -> NaN8
539fmax2663 fma NaN71 Inf 0E+999999 -> NaN71
540fmax2664 fma NaN6 NaN5 0E+999999 -> NaN6
541fmax2665 fma -Inf NaN4 0E+999999 -> NaN4
542fmax2666 fma -999 NaN33 0E+999999 -> NaN33
543fmax2667 fma Inf NaN2 0E+999999 -> NaN2
544
545fmax2671 fma sNaN99 -Inf 0E+999999 -> NaN99 Invalid_operation
546fmax2672 fma sNaN98 -11 0E+999999 -> NaN98 Invalid_operation
547fmax2673 fma sNaN97 NaN 0E+999999 -> NaN97 Invalid_operation
548fmax2674 fma sNaN16 sNaN94 0E+999999 -> NaN16 Invalid_operation
549fmax2675 fma NaN95 sNaN93 0E+999999 -> NaN93 Invalid_operation
550fmax2676 fma -Inf sNaN92 0E+999999 -> NaN92 Invalid_operation
551fmax2677 fma 088 sNaN91 0E+999999 -> NaN91 Invalid_operation
552fmax2678 fma Inf sNaN90 0E+999999 -> NaN90 Invalid_operation
553fmax2679 fma NaN sNaN89 0E+999999 -> NaN89 Invalid_operation
554
555fmax2681 fma -NaN9 -Inf 0E+999999 -> -NaN9
556fmax2682 fma -NaN8 999 0E+999999 -> -NaN8
557fmax2683 fma -NaN71 Inf 0E+999999 -> -NaN71
558fmax2684 fma -NaN6 -NaN5 0E+999999 -> -NaN6
559fmax2685 fma -Inf -NaN4 0E+999999 -> -NaN4
560fmax2686 fma -999 -NaN33 0E+999999 -> -NaN33
561fmax2687 fma Inf -NaN2 0E+999999 -> -NaN2
562
563fmax2691 fma -sNaN99 -Inf 0E+999999 -> -NaN99 Invalid_operation
564fmax2692 fma -sNaN98 -11 0E+999999 -> -NaN98 Invalid_operation
565fmax2693 fma -sNaN97 NaN 0E+999999 -> -NaN97 Invalid_operation
566fmax2694 fma -sNaN16 -sNaN94 0E+999999 -> -NaN16 Invalid_operation
567fmax2695 fma -NaN95 -sNaN93 0E+999999 -> -NaN93 Invalid_operation
568fmax2696 fma -Inf -sNaN92 0E+999999 -> -NaN92 Invalid_operation
569fmax2697 fma 088 -sNaN91 0E+999999 -> -NaN91 Invalid_operation
570fmax2698 fma Inf -sNaN90 0E+999999 -> -NaN90 Invalid_operation
571fmax2699 fma -NaN -sNaN89 0E+999999 -> -NaN89 Invalid_operation
572
573fmax2701 fma -NaN -Inf 0E+999999 -> -NaN
574fmax2702 fma -NaN 999 0E+999999 -> -NaN
575fmax2703 fma -NaN Inf 0E+999999 -> -NaN
576fmax2704 fma -NaN -NaN 0E+999999 -> -NaN
577fmax2705 fma -Inf -NaN0 0E+999999 -> -NaN
578fmax2706 fma -999 -NaN 0E+999999 -> -NaN
579fmax2707 fma Inf -NaN 0E+999999 -> -NaN
580
581fmax2711 fma -sNaN -Inf 0E+999999 -> -NaN Invalid_operation
582fmax2712 fma -sNaN -11 0E+999999 -> -NaN Invalid_operation
583fmax2713 fma -sNaN00 NaN 0E+999999 -> -NaN Invalid_operation
584fmax2714 fma -sNaN -sNaN 0E+999999 -> -NaN Invalid_operation
585fmax2715 fma -NaN -sNaN 0E+999999 -> -NaN Invalid_operation
586fmax2716 fma -Inf -sNaN 0E+999999 -> -NaN Invalid_operation
587fmax2717 fma 088 -sNaN 0E+999999 -> -NaN Invalid_operation
588fmax2718 fma Inf -sNaN 0E+999999 -> -NaN Invalid_operation
589fmax2719 fma -NaN -sNaN 0E+999999 -> -NaN Invalid_operation
590
591-- overflow and underflow tests .. note subnormal results
592maxexponent: 999999
593minexponent: -999999
594fmax2730 fma +1.23456789012345E-0 9E+999999 0E+999999 -> Infinity Inexact Overflow Rounded
595fmax2731 fma 9E+999999 +1.23456789012345E-0 0E+999999 -> Infinity Inexact Overflow Rounded
596fmax2732 fma +0.100 9E-999999 0E+999999 -> 9.00E-1000000 Subnormal
597fmax2733 fma 9E-999999 +0.100 0E+999999 -> 9.00E-1000000 Subnormal
598fmax2735 fma -1.23456789012345E-0 9E+999999 0E+999999 -> -Infinity Inexact Overflow Rounded
599fmax2736 fma 9E+999999 -1.23456789012345E-0 0E+999999 -> -Infinity Inexact Overflow Rounded
600fmax2737 fma -0.100 9E-999999 0E+999999 -> -9.00E-1000000 Subnormal
601fmax2738 fma 9E-999999 -0.100 0E+999999 -> -9.00E-1000000 Subnormal
602
603-- signs
604fmax2751 fma 1e+777777 1e+411111 0E+999999 -> Infinity Overflow Inexact Rounded
605fmax2752 fma 1e+777777 -1e+411111 0E+999999 -> -Infinity Overflow Inexact Rounded
606fmax2753 fma -1e+777777 1e+411111 0E+999999 -> -Infinity Overflow Inexact Rounded
607fmax2754 fma -1e+777777 -1e+411111 0E+999999 -> Infinity Overflow Inexact Rounded
608fmax2755 fma 1e-777777 1e-411111 0E+999999 -> 0E-1000007 Underflow Subnormal Inexact Rounded Clamped
609fmax2756 fma 1e-777777 -1e-411111 0E+999999 -> -0E-1000007 Underflow Subnormal Inexact Rounded Clamped
610fmax2757 fma -1e-777777 1e-411111 0E+999999 -> -0E-1000007 Underflow Subnormal Inexact Rounded Clamped
611fmax2758 fma -1e-777777 -1e-411111 0E+999999 -> 0E-1000007 Underflow Subnormal Inexact Rounded Clamped
612
613-- 'subnormal' boundary (all hard underflow or overflow in base arithemtic)
614precision: 9
615fmax2760 fma 1e-600000 1e-400001 0E+999999 -> 1E-1000001 Subnormal
616fmax2761 fma 1e-600000 1e-400002 0E+999999 -> 1E-1000002 Subnormal
617fmax2762 fma 1e-600000 1e-400003 0E+999999 -> 1E-1000003 Subnormal
618fmax2763 fma 1e-600000 1e-400004 0E+999999 -> 1E-1000004 Subnormal
619fmax2764 fma 1e-600000 1e-400005 0E+999999 -> 1E-1000005 Subnormal
620fmax2765 fma 1e-600000 1e-400006 0E+999999 -> 1E-1000006 Subnormal
621fmax2766 fma 1e-600000 1e-400007 0E+999999 -> 1E-1000007 Subnormal
622fmax2767 fma 1e-600000 1e-400008 0E+999999 -> 0E-1000007 Underflow Subnormal Inexact Rounded Clamped
623fmax2768 fma 1e-600000 1e-400009 0E+999999 -> 0E-1000007 Underflow Subnormal Inexact Rounded Clamped
624fmax2769 fma 1e-600000 1e-400010 0E+999999 -> 0E-1000007 Underflow Subnormal Inexact Rounded Clamped
625-- [no equivalent of 'subnormal' for overflow]
626fmax2770 fma 1e+600000 1e+400001 0E+999999 -> Infinity Overflow Inexact Rounded
627fmax2771 fma 1e+600000 1e+400002 0E+999999 -> Infinity Overflow Inexact Rounded
628fmax2772 fma 1e+600000 1e+400003 0E+999999 -> Infinity Overflow Inexact Rounded
629fmax2773 fma 1e+600000 1e+400004 0E+999999 -> Infinity Overflow Inexact Rounded
630fmax2774 fma 1e+600000 1e+400005 0E+999999 -> Infinity Overflow Inexact Rounded
631fmax2775 fma 1e+600000 1e+400006 0E+999999 -> Infinity Overflow Inexact Rounded
632fmax2776 fma 1e+600000 1e+400007 0E+999999 -> Infinity Overflow Inexact Rounded
633fmax2777 fma 1e+600000 1e+400008 0E+999999 -> Infinity Overflow Inexact Rounded
634fmax2778 fma 1e+600000 1e+400009 0E+999999 -> Infinity Overflow Inexact Rounded
635fmax2779 fma 1e+600000 1e+400010 0E+999999 -> Infinity Overflow Inexact Rounded
636
637-- 'subnormal' test edge condition at higher precisions
638precision: 99
639fmax2780 fma 1e-600000 1e-400007 0E+999999 -> 1E-1000007 Subnormal
640fmax2781 fma 1e-600000 1e-400008 0E+999999 -> 1E-1000008 Subnormal
641fmax2782 fma 1e-600000 1e-400097 0E+999999 -> 1E-1000097 Subnormal
642fmax2783 fma 1e-600000 1e-400098 0E+999999 -> 0E-1000097 Underflow Subnormal Inexact Rounded Clamped
643precision: 999
644fmax2784 fma 1e-600000 1e-400997 0E+999999 -> 1E-1000997 Subnormal
645fmax2785 fma 1e-600000 1e-400998 0E+999999 -> 0E-1000997 Underflow Subnormal Inexact Rounded Clamped
646
647-- test subnormals rounding
648precision: 5
649maxExponent: 999
650minexponent: -999
651rounding: half_even
652
653fmax2801 fma 1.0000E-999 1 0E+999999 -> 1.0000E-999
654fmax2802 fma 1.000E-999 1e-1 0E+999999 -> 1.000E-1000 Subnormal
655fmax2803 fma 1.00E-999 1e-2 0E+999999 -> 1.00E-1001 Subnormal
656fmax2804 fma 1.0E-999 1e-3 0E+999999 -> 1.0E-1002 Subnormal
657fmax2805 fma 1.0E-999 1e-4 0E+999999 -> 1E-1003 Subnormal Rounded
658fmax2806 fma 1.3E-999 1e-4 0E+999999 -> 1E-1003 Underflow Subnormal Inexact Rounded
659fmax2807 fma 1.5E-999 1e-4 0E+999999 -> 2E-1003 Underflow Subnormal Inexact Rounded
660fmax2808 fma 1.7E-999 1e-4 0E+999999 -> 2E-1003 Underflow Subnormal Inexact Rounded
661fmax2809 fma 2.3E-999 1e-4 0E+999999 -> 2E-1003 Underflow Subnormal Inexact Rounded
662fmax2810 fma 2.5E-999 1e-4 0E+999999 -> 2E-1003 Underflow Subnormal Inexact Rounded
663fmax2811 fma 2.7E-999 1e-4 0E+999999 -> 3E-1003 Underflow Subnormal Inexact Rounded
664fmax2812 fma 1.49E-999 1e-4 0E+999999 -> 1E-1003 Underflow Subnormal Inexact Rounded
665fmax2813 fma 1.50E-999 1e-4 0E+999999 -> 2E-1003 Underflow Subnormal Inexact Rounded
666fmax2814 fma 1.51E-999 1e-4 0E+999999 -> 2E-1003 Underflow Subnormal Inexact Rounded
667fmax2815 fma 2.49E-999 1e-4 0E+999999 -> 2E-1003 Underflow Subnormal Inexact Rounded
668fmax2816 fma 2.50E-999 1e-4 0E+999999 -> 2E-1003 Underflow Subnormal Inexact Rounded
669fmax2817 fma 2.51E-999 1e-4 0E+999999 -> 3E-1003 Underflow Subnormal Inexact Rounded
670
671fmax2818 fma 1E-999 1e-4 0E+999999 -> 1E-1003 Subnormal
672fmax2819 fma 3E-999 1e-5 0E+999999 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped
673fmax2820 fma 5E-999 1e-5 0E+999999 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped
674fmax2821 fma 7E-999 1e-5 0E+999999 -> 1E-1003 Underflow Subnormal Inexact Rounded
675fmax2822 fma 9E-999 1e-5 0E+999999 -> 1E-1003 Underflow Subnormal Inexact Rounded
676fmax2823 fma 9.9E-999 1e-5 0E+999999 -> 1E-1003 Underflow Subnormal Inexact Rounded
677
678fmax2824 fma 1E-999 -1e-4 0E+999999 -> -1E-1003 Subnormal
679fmax2825 fma 3E-999 -1e-5 0E+999999 -> -0E-1003 Underflow Subnormal Inexact Rounded Clamped
680fmax2826 fma -5E-999 1e-5 0E+999999 -> -0E-1003 Underflow Subnormal Inexact Rounded Clamped
681fmax2827 fma 7E-999 -1e-5 0E+999999 -> -1E-1003 Underflow Subnormal Inexact Rounded
682fmax2828 fma -9E-999 1e-5 0E+999999 -> -1E-1003 Underflow Subnormal Inexact Rounded
683fmax2829 fma 9.9E-999 -1e-5 0E+999999 -> -1E-1003 Underflow Subnormal Inexact Rounded
684fmax2830 fma 3.0E-999 -1e-5 0E+999999 -> -0E-1003 Underflow Subnormal Inexact Rounded Clamped
685
686fmax2831 fma 1.0E-501 1e-501 0E+999999 -> 1.0E-1002 Subnormal
687fmax2832 fma 2.0E-501 2e-501 0E+999999 -> 4.0E-1002 Subnormal
688fmax2833 fma 4.0E-501 4e-501 0E+999999 -> 1.60E-1001 Subnormal
689fmax2834 fma 10.0E-501 10e-501 0E+999999 -> 1.000E-1000 Subnormal
690fmax2835 fma 30.0E-501 30e-501 0E+999999 -> 9.000E-1000 Subnormal
691fmax2836 fma 40.0E-501 40e-501 0E+999999 -> 1.6000E-999
692
693-- squares
694fmax2840 fma 1E-502 1e-502 0E+999999 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped
695fmax2841 fma 1E-501 1e-501 0E+999999 -> 1E-1002 Subnormal
696fmax2842 fma 2E-501 2e-501 0E+999999 -> 4E-1002 Subnormal
697fmax2843 fma 4E-501 4e-501 0E+999999 -> 1.6E-1001 Subnormal
698fmax2844 fma 10E-501 10e-501 0E+999999 -> 1.00E-1000 Subnormal
699fmax2845 fma 30E-501 30e-501 0E+999999 -> 9.00E-1000 Subnormal
700fmax2846 fma 40E-501 40e-501 0E+999999 -> 1.600E-999
701
702-- cubes
703fmax2850 fma 1E-670 1e-335 0E+999999 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped
704fmax2851 fma 1E-668 1e-334 0E+999999 -> 1E-1002 Subnormal
705fmax2852 fma 4E-668 2e-334 0E+999999 -> 8E-1002 Subnormal
706fmax2853 fma 9E-668 3e-334 0E+999999 -> 2.7E-1001 Subnormal
707fmax2854 fma 16E-668 4e-334 0E+999999 -> 6.4E-1001 Subnormal
708fmax2855 fma 25E-668 5e-334 0E+999999 -> 1.25E-1000 Subnormal
709fmax2856 fma 10E-668 100e-334 0E+999999 -> 1.000E-999
710
711-- test derived from result of 0.099 ** 999 at 15 digits with unlimited exponent
712precision: 19
713fmax2860 fma 6636851557994578716E-520 6636851557994578716E-520 0E+999999 -> 4.40477986028551E-1003 Underflow Subnormal Inexact Rounded
714
715-- Long operand overflow may be a different path
716precision: 3
717maxExponent: 999999
718minexponent: -999999
719fmax2870 fma 1 9.999E+999999 0E+999999 -> Infinity Inexact Overflow Rounded
720fmax2871 fma 1 -9.999E+999999 0E+999999 -> -Infinity Inexact Overflow Rounded
721fmax2872 fma 9.999E+999999 1 0E+999999 -> Infinity Inexact Overflow Rounded
722fmax2873 fma -9.999E+999999 1 0E+999999 -> -Infinity Inexact Overflow Rounded
723
724-- check for double-rounded subnormals
725precision: 5
726maxexponent: 79
727minexponent: -79
728fmax2881 fma 1.2347E-40 1.2347E-40 0E+999999 -> 1.524E-80 Inexact Rounded Subnormal Underflow
729fmax2882 fma 1.234E-40 1.234E-40 0E+999999 -> 1.523E-80 Inexact Rounded Subnormal Underflow
730fmax2883 fma 1.23E-40 1.23E-40 0E+999999 -> 1.513E-80 Inexact Rounded Subnormal Underflow
731fmax2884 fma 1.2E-40 1.2E-40 0E+999999 -> 1.44E-80 Subnormal
732fmax2885 fma 1.2E-40 1.2E-41 0E+999999 -> 1.44E-81 Subnormal
733fmax2886 fma 1.2E-40 1.2E-42 0E+999999 -> 1.4E-82 Subnormal Inexact Rounded Underflow
734fmax2887 fma 1.2E-40 1.3E-42 0E+999999 -> 1.6E-82 Subnormal Inexact Rounded Underflow
735fmax2888 fma 1.3E-40 1.3E-42 0E+999999 -> 1.7E-82 Subnormal Inexact Rounded Underflow
736fmax2889 fma 1.3E-40 1.3E-43 0E+999999 -> 2E-83 Subnormal Inexact Rounded Underflow
737fmax2890 fma 1.3E-41 1.3E-43 0E+999999 -> 0E-83 Clamped Subnormal Inexact Rounded Underflow
738
739fmax2891 fma 1.2345E-39 1.234E-40 0E+999999 -> 1.5234E-79 Inexact Rounded
740fmax2892 fma 1.23456E-39 1.234E-40 0E+999999 -> 1.5234E-79 Inexact Rounded
741fmax2893 fma 1.2345E-40 1.234E-40 0E+999999 -> 1.523E-80 Inexact Rounded Subnormal Underflow
742fmax2894 fma 1.23456E-40 1.234E-40 0E+999999 -> 1.523E-80 Inexact Rounded Subnormal Underflow
743fmax2895 fma 1.2345E-41 1.234E-40 0E+999999 -> 1.52E-81 Inexact Rounded Subnormal Underflow
744fmax2896 fma 1.23456E-41 1.234E-40 0E+999999 -> 1.52E-81 Inexact Rounded Subnormal Underflow
745
746-- Now explore the case where we get a normal result with Underflow
747precision: 16
748rounding: half_up
749maxExponent: 384
750minExponent: -383
751
752fmax2900 fma 0.3000000000E-191 0.3000000000E-191 0E+999999 -> 9.00000000000000E-384 Subnormal Rounded
753fmax2901 fma 0.3000000001E-191 0.3000000001E-191 0E+999999 -> 9.00000000600000E-384 Underflow Inexact Subnormal Rounded
754fmax2902 fma 9.999999999999999E-383 0.0999999999999 0E+999999 -> 9.99999999999000E-384 Underflow Inexact Subnormal Rounded
755fmax2903 fma 9.999999999999999E-383 0.09999999999999 0E+999999 -> 9.99999999999900E-384 Underflow Inexact Subnormal Rounded
756fmax2904 fma 9.999999999999999E-383 0.099999999999999 0E+999999 -> 9.99999999999990E-384 Underflow Inexact Subnormal Rounded
757fmax2905 fma 9.999999999999999E-383 0.0999999999999999 0E+999999 -> 9.99999999999999E-384 Underflow Inexact Subnormal Rounded
758-- prove operands are exact
759fmax2906 fma 9.999999999999999E-383 1 0E+999999 -> 9.999999999999999E-383
760fmax2907 fma 1 0.09999999999999999 0E+999999 -> 0.09999999999999999
761-- the next rounds to Nmin
762fmax2908 fma 9.999999999999999E-383 0.09999999999999999 0E+999999 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
763fmax2909 fma 9.999999999999999E-383 0.099999999999999999 0E+999999 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
764fmax2910 fma 9.999999999999999E-383 0.0999999999999999999 0E+999999 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
765fmax2911 fma 9.999999999999999E-383 0.09999999999999999999 0E+999999 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
766
767-- Examples from SQL proposal (Krishna Kulkarni)
768precision: 34
769rounding: half_up
770maxExponent: 6144
771minExponent: -6143
772fmax2921 fma 130E-2 120E-2 0E+999999 -> 1.5600
773fmax2922 fma 130E-2 12E-1 0E+999999 -> 1.560
774fmax2923 fma 130E-2 1E0 0E+999999 -> 1.30
775
776-- Null tests
777fmax2990 fma # 10 0E+999999 -> NaN Invalid_operation
778fmax2991 fma 10 # 0E+999999 -> NaN Invalid_operation
779
780-- ADDITION TESTS ------------------------------------------------------
781precision: 9
782rounding: half_up
783maxExponent: 384
784minexponent: -383
785
786-- [first group are 'quick confidence check']
787fmax3001 fma 1 1 1 -> 2
788fmax3002 fma 1 2 3 -> 5
789fmax3003 fma 1 '5.75' '3.3' -> 9.05
790fmax3004 fma 1 '5' '-3' -> 2
791fmax3005 fma 1 '-5' '-3' -> -8
792fmax3006 fma 1 '-7' '2.5' -> -4.5
793fmax3007 fma 1 '0.7' '0.3' -> 1.0
794fmax3008 fma 1 '1.25' '1.25' -> 2.50
795fmax3009 fma 1 '1.23456789' '1.00000000' -> '2.23456789'
796fmax3010 fma 1 '1.23456789' '1.00000011' -> '2.23456800'
797
798fmax3011 fma 1 '0.4444444444' '0.5555555555' -> '1.00000000' Inexact Rounded
799fmax3012 fma 1 '0.4444444440' '0.5555555555' -> '1.00000000' Inexact Rounded
800fmax3013 fma 1 '0.4444444444' '0.5555555550' -> '0.999999999' Inexact Rounded
801fmax3014 fma 1 '0.44444444449' '0' -> '0.444444444' Inexact Rounded
802fmax3015 fma 1 '0.444444444499' '0' -> '0.444444444' Inexact Rounded
803fmax3016 fma 1 '0.4444444444999' '0' -> '0.444444444' Inexact Rounded
804fmax3017 fma 1 '0.4444444445000' '0' -> '0.444444445' Inexact Rounded
805fmax3018 fma 1 '0.4444444445001' '0' -> '0.444444445' Inexact Rounded
806fmax3019 fma 1 '0.444444444501' '0' -> '0.444444445' Inexact Rounded
807fmax3020 fma 1 '0.44444444451' '0' -> '0.444444445' Inexact Rounded
808
809fmax3021 fma 1 0 1 -> 1
810fmax3022 fma 1 1 1 -> 2
811fmax3023 fma 1 2 1 -> 3
812fmax3024 fma 1 3 1 -> 4
813fmax3025 fma 1 4 1 -> 5
814fmax3026 fma 1 5 1 -> 6
815fmax3027 fma 1 6 1 -> 7
816fmax3028 fma 1 7 1 -> 8
817fmax3029 fma 1 8 1 -> 9
818fmax3030 fma 1 9 1 -> 10
819
820-- some carrying effects
821fmax3031 fma 1 '0.9998' '0.0000' -> '0.9998'
822fmax3032 fma 1 '0.9998' '0.0001' -> '0.9999'
823fmax3033 fma 1 '0.9998' '0.0002' -> '1.0000'
824fmax3034 fma 1 '0.9998' '0.0003' -> '1.0001'
825
826fmax3035 fma 1 '70' '10000e+9' -> '1.00000000E+13' Inexact Rounded
827fmax3036 fma 1 '700' '10000e+9' -> '1.00000000E+13' Inexact Rounded
828fmax3037 fma 1 '7000' '10000e+9' -> '1.00000000E+13' Inexact Rounded
829fmax3038 fma 1 '70000' '10000e+9' -> '1.00000001E+13' Inexact Rounded
830fmax3039 fma 1 '700000' '10000e+9' -> '1.00000007E+13' Rounded
831
832-- symmetry:
833fmax3040 fma 1 '10000e+9' '70' -> '1.00000000E+13' Inexact Rounded
834fmax3041 fma 1 '10000e+9' '700' -> '1.00000000E+13' Inexact Rounded
835fmax3042 fma 1 '10000e+9' '7000' -> '1.00000000E+13' Inexact Rounded
836fmax3044 fma 1 '10000e+9' '70000' -> '1.00000001E+13' Inexact Rounded
837fmax3045 fma 1 '10000e+9' '700000' -> '1.00000007E+13' Rounded
838
839-- same, higher precision
840precision: 15
841fmax3046 fma 1 '10000e+9' '7' -> '10000000000007'
842fmax3047 fma 1 '10000e+9' '70' -> '10000000000070'
843fmax3048 fma 1 '10000e+9' '700' -> '10000000000700'
844fmax3049 fma 1 '10000e+9' '7000' -> '10000000007000'
845fmax3050 fma 1 '10000e+9' '70000' -> '10000000070000'
846fmax3051 fma 1 '10000e+9' '700000' -> '10000000700000'
847fmax3052 fma 1 '10000e+9' '7000000' -> '10000007000000'
848
849-- examples from decarith
850fmax3053 fma 1 '12' '7.00' -> '19.00'
851fmax3054 fma 1 '1.3' '-1.07' -> '0.23'
852fmax3055 fma 1 '1.3' '-1.30' -> '0.00'
853fmax3056 fma 1 '1.3' '-2.07' -> '-0.77'
854fmax3057 fma 1 '1E+2' '1E+4' -> '1.01E+4'
855
856-- zero preservation
857precision: 6
858fmax3060 fma 1 '10000e+9' '70000' -> '1.00000E+13' Inexact Rounded
859fmax3061 fma 1 1 '0.0001' -> '1.0001'
860fmax3062 fma 1 1 '0.00001' -> '1.00001'
861fmax3063 fma 1 1 '0.000001' -> '1.00000' Inexact Rounded
862fmax3064 fma 1 1 '0.0000001' -> '1.00000' Inexact Rounded
863fmax3065 fma 1 1 '0.00000001' -> '1.00000' Inexact Rounded
864
865-- some funny zeros [in case of bad signum]
866fmax3070 fma 1 1 0 -> 1
867fmax3071 fma 1 1 0. -> 1
868fmax3072 fma 1 1 .0 -> 1.0
869fmax3073 fma 1 1 0.0 -> 1.0
870fmax3074 fma 1 1 0.00 -> 1.00
871fmax3075 fma 1 0 1 -> 1
872fmax3076 fma 1 0. 1 -> 1
873fmax3077 fma 1 .0 1 -> 1.0
874fmax3078 fma 1 0.0 1 -> 1.0
875fmax3079 fma 1 0.00 1 -> 1.00
876
877precision: 9
878
879-- some carries
880fmax3080 fma 1 999999998 1 -> 999999999
881fmax3081 fma 1 999999999 1 -> 1.00000000E+9 Rounded
882fmax3082 fma 1 99999999 1 -> 100000000
883fmax3083 fma 1 9999999 1 -> 10000000
884fmax3084 fma 1 999999 1 -> 1000000
885fmax3085 fma 1 99999 1 -> 100000
886fmax3086 fma 1 9999 1 -> 10000
887fmax3087 fma 1 999 1 -> 1000
888fmax3088 fma 1 99 1 -> 100
889fmax3089 fma 1 9 1 -> 10
890
891
892-- more LHS swaps
893fmax3090 fma 1 '-56267E-10' 0 -> '-0.0000056267'
894fmax3091 fma 1 '-56267E-6' 0 -> '-0.056267'
895fmax3092 fma 1 '-56267E-5' 0 -> '-0.56267'
896fmax3093 fma 1 '-56267E-4' 0 -> '-5.6267'
897fmax3094 fma 1 '-56267E-3' 0 -> '-56.267'
898fmax3095 fma 1 '-56267E-2' 0 -> '-562.67'
899fmax3096 fma 1 '-56267E-1' 0 -> '-5626.7'
900fmax3097 fma 1 '-56267E-0' 0 -> '-56267'
901fmax3098 fma 1 '-5E-10' 0 -> '-5E-10'
902fmax3099 fma 1 '-5E-7' 0 -> '-5E-7'
903fmax3100 fma 1 '-5E-6' 0 -> '-0.000005'
904fmax3101 fma 1 '-5E-5' 0 -> '-0.00005'
905fmax3102 fma 1 '-5E-4' 0 -> '-0.0005'
906fmax3103 fma 1 '-5E-1' 0 -> '-0.5'
907fmax3104 fma 1 '-5E0' 0 -> '-5'
908fmax3105 fma 1 '-5E1' 0 -> '-50'
909fmax3106 fma 1 '-5E5' 0 -> '-500000'
910fmax3107 fma 1 '-5E8' 0 -> '-500000000'
911fmax3108 fma 1 '-5E9' 0 -> '-5.00000000E+9' Rounded
912fmax3109 fma 1 '-5E10' 0 -> '-5.00000000E+10' Rounded
913fmax3110 fma 1 '-5E11' 0 -> '-5.00000000E+11' Rounded
914fmax3111 fma 1 '-5E100' 0 -> '-5.00000000E+100' Rounded
915
916-- more RHS swaps
917fmax3113 fma 1 0 '-56267E-10' -> '-0.0000056267'
918fmax3114 fma 1 0 '-56267E-6' -> '-0.056267'
919fmax3116 fma 1 0 '-56267E-5' -> '-0.56267'
920fmax3117 fma 1 0 '-56267E-4' -> '-5.6267'
921fmax3119 fma 1 0 '-56267E-3' -> '-56.267'
922fmax3120 fma 1 0 '-56267E-2' -> '-562.67'
923fmax3121 fma 1 0 '-56267E-1' -> '-5626.7'
924fmax3122 fma 1 0 '-56267E-0' -> '-56267'
925fmax3123 fma 1 0 '-5E-10' -> '-5E-10'
926fmax3124 fma 1 0 '-5E-7' -> '-5E-7'
927fmax3125 fma 1 0 '-5E-6' -> '-0.000005'
928fmax3126 fma 1 0 '-5E-5' -> '-0.00005'
929fmax3127 fma 1 0 '-5E-4' -> '-0.0005'
930fmax3128 fma 1 0 '-5E-1' -> '-0.5'
931fmax3129 fma 1 0 '-5E0' -> '-5'
932fmax3130 fma 1 0 '-5E1' -> '-50'
933fmax3131 fma 1 0 '-5E5' -> '-500000'
934fmax3132 fma 1 0 '-5E8' -> '-500000000'
935fmax3133 fma 1 0 '-5E9' -> '-5.00000000E+9' Rounded
936fmax3134 fma 1 0 '-5E10' -> '-5.00000000E+10' Rounded
937fmax3135 fma 1 0 '-5E11' -> '-5.00000000E+11' Rounded
938fmax3136 fma 1 0 '-5E100' -> '-5.00000000E+100' Rounded
939
940-- related
941fmax3137 fma 1 1 '0E-12' -> '1.00000000' Rounded
942fmax3138 fma 1 -1 '0E-12' -> '-1.00000000' Rounded
943fmax3139 fma 1 '0E-12' 1 -> '1.00000000' Rounded
944fmax3140 fma 1 '0E-12' -1 -> '-1.00000000' Rounded
945fmax3141 fma 1 1E+4 0.0000 -> '10000.0000'
946fmax3142 fma 1 1E+4 0.00000 -> '10000.0000' Rounded
947fmax3143 fma 1 0.000 1E+5 -> '100000.000'
948fmax3144 fma 1 0.0000 1E+5 -> '100000.000' Rounded
949
950-- [some of the next group are really constructor tests]
951fmax3146 fma 1 '00.0' 0 -> '0.0'
952fmax3147 fma 1 '0.00' 0 -> '0.00'
953fmax3148 fma 1 0 '0.00' -> '0.00'
954fmax3149 fma 1 0 '00.0' -> '0.0'
955fmax3150 fma 1 '00.0' '0.00' -> '0.00'
956fmax3151 fma 1 '0.00' '00.0' -> '0.00'
957fmax3152 fma 1 '3' '.3' -> '3.3'
958fmax3153 fma 1 '3.' '.3' -> '3.3'
959fmax3154 fma 1 '3.0' '.3' -> '3.3'
960fmax3155 fma 1 '3.00' '.3' -> '3.30'
961fmax3156 fma 1 '3' '3' -> '6'
962fmax3157 fma 1 '3' '+3' -> '6'
963fmax3158 fma 1 '3' '-3' -> '0'
964fmax3159 fma 1 '0.3' '-0.3' -> '0.0'
965fmax3160 fma 1 '0.03' '-0.03' -> '0.00'
966
967-- try borderline precision, with carries, etc.
968precision: 15
969fmax3161 fma 1 '1E+12' '-1' -> '999999999999'
970fmax3162 fma 1 '1E+12' '1.11' -> '1000000000001.11'
971fmax3163 fma 1 '1.11' '1E+12' -> '1000000000001.11'
972fmax3164 fma 1 '-1' '1E+12' -> '999999999999'
973fmax3165 fma 1 '7E+12' '-1' -> '6999999999999'
974fmax3166 fma 1 '7E+12' '1.11' -> '7000000000001.11'
975fmax3167 fma 1 '1.11' '7E+12' -> '7000000000001.11'
976fmax3168 fma 1 '-1' '7E+12' -> '6999999999999'
977
978-- 123456789012345 123456789012345 1 23456789012345
979fmax3170 fma 1 '0.444444444444444' '0.555555555555563' -> '1.00000000000001' Inexact Rounded
980fmax3171 fma 1 '0.444444444444444' '0.555555555555562' -> '1.00000000000001' Inexact Rounded
981fmax3172 fma 1 '0.444444444444444' '0.555555555555561' -> '1.00000000000001' Inexact Rounded
982fmax3173 fma 1 '0.444444444444444' '0.555555555555560' -> '1.00000000000000' Inexact Rounded
983fmax3174 fma 1 '0.444444444444444' '0.555555555555559' -> '1.00000000000000' Inexact Rounded
984fmax3175 fma 1 '0.444444444444444' '0.555555555555558' -> '1.00000000000000' Inexact Rounded
985fmax3176 fma 1 '0.444444444444444' '0.555555555555557' -> '1.00000000000000' Inexact Rounded
986fmax3177 fma 1 '0.444444444444444' '0.555555555555556' -> '1.00000000000000' Rounded
987fmax3178 fma 1 '0.444444444444444' '0.555555555555555' -> '0.999999999999999'
988fmax3179 fma 1 '0.444444444444444' '0.555555555555554' -> '0.999999999999998'
989fmax3180 fma 1 '0.444444444444444' '0.555555555555553' -> '0.999999999999997'
990fmax3181 fma 1 '0.444444444444444' '0.555555555555552' -> '0.999999999999996'
991fmax3182 fma 1 '0.444444444444444' '0.555555555555551' -> '0.999999999999995'
992fmax3183 fma 1 '0.444444444444444' '0.555555555555550' -> '0.999999999999994'
993
994-- and some more, including residue effects and different roundings
995precision: 9
996rounding: half_up
997fmax3200 fma 1 '123456789' 0 -> '123456789'
998fmax3201 fma 1 '123456789' 0.000000001 -> '123456789' Inexact Rounded
999fmax3202 fma 1 '123456789' 0.000001 -> '123456789' Inexact Rounded
1000fmax3203 fma 1 '123456789' 0.1 -> '123456789' Inexact Rounded
1001fmax3204 fma 1 '123456789' 0.4 -> '123456789' Inexact Rounded
1002fmax3205 fma 1 '123456789' 0.49 -> '123456789' Inexact Rounded
1003fmax3206 fma 1 '123456789' 0.499999 -> '123456789' Inexact Rounded
1004fmax3207 fma 1 '123456789' 0.499999999 -> '123456789' Inexact Rounded
1005fmax3208 fma 1 '123456789' 0.5 -> '123456790' Inexact Rounded
1006fmax3209 fma 1 '123456789' 0.500000001 -> '123456790' Inexact Rounded
1007fmax3210 fma 1 '123456789' 0.500001 -> '123456790' Inexact Rounded
1008fmax3211 fma 1 '123456789' 0.51 -> '123456790' Inexact Rounded
1009fmax3212 fma 1 '123456789' 0.6 -> '123456790' Inexact Rounded
1010fmax3213 fma 1 '123456789' 0.9 -> '123456790' Inexact Rounded
1011fmax3214 fma 1 '123456789' 0.99999 -> '123456790' Inexact Rounded
1012fmax3215 fma 1 '123456789' 0.999999999 -> '123456790' Inexact Rounded
1013fmax3216 fma 1 '123456789' 1 -> '123456790'
1014fmax3217 fma 1 '123456789' 1.000000001 -> '123456790' Inexact Rounded
1015fmax3218 fma 1 '123456789' 1.00001 -> '123456790' Inexact Rounded
1016fmax3219 fma 1 '123456789' 1.1 -> '123456790' Inexact Rounded
1017
1018rounding: half_even
1019fmax3220 fma 1 '123456789' 0 -> '123456789'
1020fmax3221 fma 1 '123456789' 0.000000001 -> '123456789' Inexact Rounded
1021fmax3222 fma 1 '123456789' 0.000001 -> '123456789' Inexact Rounded
1022fmax3223 fma 1 '123456789' 0.1 -> '123456789' Inexact Rounded
1023fmax3224 fma 1 '123456789' 0.4 -> '123456789' Inexact Rounded
1024fmax3225 fma 1 '123456789' 0.49 -> '123456789' Inexact Rounded
1025fmax3226 fma 1 '123456789' 0.499999 -> '123456789' Inexact Rounded
1026fmax3227 fma 1 '123456789' 0.499999999 -> '123456789' Inexact Rounded
1027fmax3228 fma 1 '123456789' 0.5 -> '123456790' Inexact Rounded
1028fmax3229 fma 1 '123456789' 0.500000001 -> '123456790' Inexact Rounded
1029fmax3230 fma 1 '123456789' 0.500001 -> '123456790' Inexact Rounded
1030fmax3231 fma 1 '123456789' 0.51 -> '123456790' Inexact Rounded
1031fmax3232 fma 1 '123456789' 0.6 -> '123456790' Inexact Rounded
1032fmax3233 fma 1 '123456789' 0.9 -> '123456790' Inexact Rounded
1033fmax3234 fma 1 '123456789' 0.99999 -> '123456790' Inexact Rounded
1034fmax3235 fma 1 '123456789' 0.999999999 -> '123456790' Inexact Rounded
1035fmax3236 fma 1 '123456789' 1 -> '123456790'
1036fmax3237 fma 1 '123456789' 1.00000001 -> '123456790' Inexact Rounded
1037fmax3238 fma 1 '123456789' 1.00001 -> '123456790' Inexact Rounded
1038fmax3239 fma 1 '123456789' 1.1 -> '123456790' Inexact Rounded
1039-- critical few with even bottom digit...
1040fmax3240 fma 1 '123456788' 0.499999999 -> '123456788' Inexact Rounded
1041fmax3241 fma 1 '123456788' 0.5 -> '123456788' Inexact Rounded
1042fmax3242 fma 1 '123456788' 0.500000001 -> '123456789' Inexact Rounded
1043
1044rounding: down
1045fmax3250 fma 1 '123456789' 0 -> '123456789'
1046fmax3251 fma 1 '123456789' 0.000000001 -> '123456789' Inexact Rounded
1047fmax3252 fma 1 '123456789' 0.000001 -> '123456789' Inexact Rounded
1048fmax3253 fma 1 '123456789' 0.1 -> '123456789' Inexact Rounded
1049fmax3254 fma 1 '123456789' 0.4 -> '123456789' Inexact Rounded
1050fmax3255 fma 1 '123456789' 0.49 -> '123456789' Inexact Rounded
1051fmax3256 fma 1 '123456789' 0.499999 -> '123456789' Inexact Rounded
1052fmax3257 fma 1 '123456789' 0.499999999 -> '123456789' Inexact Rounded
1053fmax3258 fma 1 '123456789' 0.5 -> '123456789' Inexact Rounded
1054fmax3259 fma 1 '123456789' 0.500000001 -> '123456789' Inexact Rounded
1055fmax3260 fma 1 '123456789' 0.500001 -> '123456789' Inexact Rounded
1056fmax3261 fma 1 '123456789' 0.51 -> '123456789' Inexact Rounded
1057fmax3262 fma 1 '123456789' 0.6 -> '123456789' Inexact Rounded
1058fmax3263 fma 1 '123456789' 0.9 -> '123456789' Inexact Rounded
1059fmax3264 fma 1 '123456789' 0.99999 -> '123456789' Inexact Rounded
1060fmax3265 fma 1 '123456789' 0.999999999 -> '123456789' Inexact Rounded
1061fmax3266 fma 1 '123456789' 1 -> '123456790'
1062fmax3267 fma 1 '123456789' 1.00000001 -> '123456790' Inexact Rounded
1063fmax3268 fma 1 '123456789' 1.00001 -> '123456790' Inexact Rounded
1064fmax3269 fma 1 '123456789' 1.1 -> '123456790' Inexact Rounded
1065
1066-- input preparation tests (operands should not be rounded)
1067precision: 3
1068rounding: half_up
1069
1070fmax3270 fma 1 '12345678900000' 9999999999999 -> '2.23E+13' Inexact Rounded
1071fmax3271 fma 1 '9999999999999' 12345678900000 -> '2.23E+13' Inexact Rounded
1072
1073fmax3272 fma 1 '12E+3' '3444' -> '1.54E+4' Inexact Rounded
1074fmax3273 fma 1 '12E+3' '3446' -> '1.54E+4' Inexact Rounded
1075fmax3274 fma 1 '12E+3' '3449.9' -> '1.54E+4' Inexact Rounded
1076fmax3275 fma 1 '12E+3' '3450.0' -> '1.55E+4' Inexact Rounded
1077fmax3276 fma 1 '12E+3' '3450.1' -> '1.55E+4' Inexact Rounded
1078fmax3277 fma 1 '12E+3' '3454' -> '1.55E+4' Inexact Rounded
1079fmax3278 fma 1 '12E+3' '3456' -> '1.55E+4' Inexact Rounded
1080
1081fmax3281 fma 1 '3444' '12E+3' -> '1.54E+4' Inexact Rounded
1082fmax3282 fma 1 '3446' '12E+3' -> '1.54E+4' Inexact Rounded
1083fmax3283 fma 1 '3449.9' '12E+3' -> '1.54E+4' Inexact Rounded
1084fmax3284 fma 1 '3450.0' '12E+3' -> '1.55E+4' Inexact Rounded
1085fmax3285 fma 1 '3450.1' '12E+3' -> '1.55E+4' Inexact Rounded
1086fmax3286 fma 1 '3454' '12E+3' -> '1.55E+4' Inexact Rounded
1087fmax3287 fma 1 '3456' '12E+3' -> '1.55E+4' Inexact Rounded
1088
1089rounding: half_down
1090fmax3291 fma 1 '3444' '12E+3' -> '1.54E+4' Inexact Rounded
1091fmax3292 fma 1 '3446' '12E+3' -> '1.54E+4' Inexact Rounded
1092fmax3293 fma 1 '3449.9' '12E+3' -> '1.54E+4' Inexact Rounded
1093fmax3294 fma 1 '3450.0' '12E+3' -> '1.54E+4' Inexact Rounded
1094fmax3295 fma 1 '3450.1' '12E+3' -> '1.55E+4' Inexact Rounded
1095fmax3296 fma 1 '3454' '12E+3' -> '1.55E+4' Inexact Rounded
1096fmax3297 fma 1 '3456' '12E+3' -> '1.55E+4' Inexact Rounded
1097
1098-- 1 in last place tests
1099rounding: half_up
1100fmax3301 fma 1 -1 1 -> 0
1101fmax3302 fma 1 0 1 -> 1
1102fmax3303 fma 1 1 1 -> 2
1103fmax3304 fma 1 12 1 -> 13
1104fmax3305 fma 1 98 1 -> 99
1105fmax3306 fma 1 99 1 -> 100
1106fmax3307 fma 1 100 1 -> 101
1107fmax3308 fma 1 101 1 -> 102
1108fmax3309 fma 1 -1 -1 -> -2
1109fmax3310 fma 1 0 -1 -> -1
1110fmax3311 fma 1 1 -1 -> 0
1111fmax3312 fma 1 12 -1 -> 11
1112fmax3313 fma 1 98 -1 -> 97
1113fmax3314 fma 1 99 -1 -> 98
1114fmax3315 fma 1 100 -1 -> 99
1115fmax3316 fma 1 101 -1 -> 100
1116
1117fmax3321 fma 1 -0.01 0.01 -> 0.00
1118fmax3322 fma 1 0.00 0.01 -> 0.01
1119fmax3323 fma 1 0.01 0.01 -> 0.02
1120fmax3324 fma 1 0.12 0.01 -> 0.13
1121fmax3325 fma 1 0.98 0.01 -> 0.99
1122fmax3326 fma 1 0.99 0.01 -> 1.00
1123fmax3327 fma 1 1.00 0.01 -> 1.01
1124fmax3328 fma 1 1.01 0.01 -> 1.02
1125fmax3329 fma 1 -0.01 -0.01 -> -0.02
1126fmax3330 fma 1 0.00 -0.01 -> -0.01
1127fmax3331 fma 1 0.01 -0.01 -> 0.00
1128fmax3332 fma 1 0.12 -0.01 -> 0.11
1129fmax3333 fma 1 0.98 -0.01 -> 0.97
1130fmax3334 fma 1 0.99 -0.01 -> 0.98
1131fmax3335 fma 1 1.00 -0.01 -> 0.99
1132fmax3336 fma 1 1.01 -0.01 -> 1.00
1133
1134-- some more cases where fma 1 ing 0 affects the coefficient
1135precision: 9
1136fmax3340 fma 1 1E+3 0 -> 1000
1137fmax3341 fma 1 1E+8 0 -> 100000000
1138fmax3342 fma 1 1E+9 0 -> 1.00000000E+9 Rounded
1139fmax3343 fma 1 1E+10 0 -> 1.00000000E+10 Rounded
1140-- which simply follow from these cases ...
1141fmax3344 fma 1 1E+3 1 -> 1001
1142fmax3345 fma 1 1E+8 1 -> 100000001
1143fmax3346 fma 1 1E+9 1 -> 1.00000000E+9 Inexact Rounded
1144fmax3347 fma 1 1E+10 1 -> 1.00000000E+10 Inexact Rounded
1145fmax3348 fma 1 1E+3 7 -> 1007
1146fmax3349 fma 1 1E+8 7 -> 100000007
1147fmax3350 fma 1 1E+9 7 -> 1.00000001E+9 Inexact Rounded
1148fmax3351 fma 1 1E+10 7 -> 1.00000000E+10 Inexact Rounded
1149
1150-- tryzeros cases
1151precision: 7
1152rounding: half_up
1153maxExponent: 92
1154minexponent: -92
1155fmax3361 fma 1 0E+50 10000E+1 -> 1.0000E+5
1156fmax3362 fma 1 10000E+1 0E-50 -> 100000.0 Rounded
1157fmax3363 fma 1 10000E+1 10000E-50 -> 100000.0 Rounded Inexact
1158fmax3364 fma 1 9.999999E+92 -9.999999E+92 -> 0E+86
1159
1160-- a curiosity from JSR 13 testing
1161rounding: half_down
1162precision: 10
1163fmax3370 fma 1 99999999 81512 -> 100081511
1164precision: 6
1165fmax3371 fma 1 99999999 81512 -> 1.00082E+8 Rounded Inexact
1166rounding: half_up
1167precision: 10
1168fmax3372 fma 1 99999999 81512 -> 100081511
1169precision: 6
1170fmax3373 fma 1 99999999 81512 -> 1.00082E+8 Rounded Inexact
1171rounding: half_even
1172precision: 10
1173fmax3374 fma 1 99999999 81512 -> 100081511
1174precision: 6
1175fmax3375 fma 1 99999999 81512 -> 1.00082E+8 Rounded Inexact
1176
1177-- ulp replacement tests
1178precision: 9
1179maxexponent: 999999
1180minexponent: -999999
1181fmax3400 fma 1 1 77e-7 -> 1.0000077
1182fmax3401 fma 1 1 77e-8 -> 1.00000077
1183fmax3402 fma 1 1 77e-9 -> 1.00000008 Inexact Rounded
1184fmax3403 fma 1 1 77e-10 -> 1.00000001 Inexact Rounded
1185fmax3404 fma 1 1 77e-11 -> 1.00000000 Inexact Rounded
1186fmax3405 fma 1 1 77e-12 -> 1.00000000 Inexact Rounded
1187fmax3406 fma 1 1 77e-999 -> 1.00000000 Inexact Rounded
1188fmax3407 fma 1 1 77e-999999 -> 1.00000000 Inexact Rounded
1189
1190fmax3410 fma 1 10 77e-7 -> 10.0000077
1191fmax3411 fma 1 10 77e-8 -> 10.0000008 Inexact Rounded
1192fmax3412 fma 1 10 77e-9 -> 10.0000001 Inexact Rounded
1193fmax3413 fma 1 10 77e-10 -> 10.0000000 Inexact Rounded
1194fmax3414 fma 1 10 77e-11 -> 10.0000000 Inexact Rounded
1195fmax3415 fma 1 10 77e-12 -> 10.0000000 Inexact Rounded
1196fmax3416 fma 1 10 77e-999 -> 10.0000000 Inexact Rounded
1197fmax3417 fma 1 10 77e-999999 -> 10.0000000 Inexact Rounded
1198
1199fmax3420 fma 1 77e-7 1 -> 1.0000077
1200fmax3421 fma 1 77e-8 1 -> 1.00000077
1201fmax3422 fma 1 77e-9 1 -> 1.00000008 Inexact Rounded
1202fmax3423 fma 1 77e-10 1 -> 1.00000001 Inexact Rounded
1203fmax3424 fma 1 77e-11 1 -> 1.00000000 Inexact Rounded
1204fmax3425 fma 1 77e-12 1 -> 1.00000000 Inexact Rounded
1205fmax3426 fma 1 77e-999 1 -> 1.00000000 Inexact Rounded
1206fmax3427 fma 1 77e-999999 1 -> 1.00000000 Inexact Rounded
1207
1208fmax3430 fma 1 77e-7 10 -> 10.0000077
1209fmax3431 fma 1 77e-8 10 -> 10.0000008 Inexact Rounded
1210fmax3432 fma 1 77e-9 10 -> 10.0000001 Inexact Rounded
1211fmax3433 fma 1 77e-10 10 -> 10.0000000 Inexact Rounded
1212fmax3434 fma 1 77e-11 10 -> 10.0000000 Inexact Rounded
1213fmax3435 fma 1 77e-12 10 -> 10.0000000 Inexact Rounded
1214fmax3436 fma 1 77e-999 10 -> 10.0000000 Inexact Rounded
1215fmax3437 fma 1 77e-999999 10 -> 10.0000000 Inexact Rounded
1216
1217-- negative ulps
1218fmax3440 fma 1 1 -77e-7 -> 0.9999923
1219fmax3441 fma 1 1 -77e-8 -> 0.99999923
1220fmax3442 fma 1 1 -77e-9 -> 0.999999923
1221fmax3443 fma 1 1 -77e-10 -> 0.999999992 Inexact Rounded
1222fmax3444 fma 1 1 -77e-11 -> 0.999999999 Inexact Rounded
1223fmax3445 fma 1 1 -77e-12 -> 1.00000000 Inexact Rounded
1224fmax3446 fma 1 1 -77e-999 -> 1.00000000 Inexact Rounded
1225fmax3447 fma 1 1 -77e-999999 -> 1.00000000 Inexact Rounded
1226
1227fmax3450 fma 1 10 -77e-7 -> 9.9999923
1228fmax3451 fma 1 10 -77e-8 -> 9.99999923
1229fmax3452 fma 1 10 -77e-9 -> 9.99999992 Inexact Rounded
1230fmax3453 fma 1 10 -77e-10 -> 9.99999999 Inexact Rounded
1231fmax3454 fma 1 10 -77e-11 -> 10.0000000 Inexact Rounded
1232fmax3455 fma 1 10 -77e-12 -> 10.0000000 Inexact Rounded
1233fmax3456 fma 1 10 -77e-999 -> 10.0000000 Inexact Rounded
1234fmax3457 fma 1 10 -77e-999999 -> 10.0000000 Inexact Rounded
1235
1236fmax3460 fma 1 -77e-7 1 -> 0.9999923
1237fmax3461 fma 1 -77e-8 1 -> 0.99999923
1238fmax3462 fma 1 -77e-9 1 -> 0.999999923
1239fmax3463 fma 1 -77e-10 1 -> 0.999999992 Inexact Rounded
1240fmax3464 fma 1 -77e-11 1 -> 0.999999999 Inexact Rounded
1241fmax3465 fma 1 -77e-12 1 -> 1.00000000 Inexact Rounded
1242fmax3466 fma 1 -77e-999 1 -> 1.00000000 Inexact Rounded
1243fmax3467 fma 1 -77e-999999 1 -> 1.00000000 Inexact Rounded
1244
1245fmax3470 fma 1 -77e-7 10 -> 9.9999923
1246fmax3471 fma 1 -77e-8 10 -> 9.99999923
1247fmax3472 fma 1 -77e-9 10 -> 9.99999992 Inexact Rounded
1248fmax3473 fma 1 -77e-10 10 -> 9.99999999 Inexact Rounded
1249fmax3474 fma 1 -77e-11 10 -> 10.0000000 Inexact Rounded
1250fmax3475 fma 1 -77e-12 10 -> 10.0000000 Inexact Rounded
1251fmax3476 fma 1 -77e-999 10 -> 10.0000000 Inexact Rounded
1252fmax3477 fma 1 -77e-999999 10 -> 10.0000000 Inexact Rounded
1253
1254-- negative ulps
1255fmax3480 fma 1 -1 77e-7 -> -0.9999923
1256fmax3481 fma 1 -1 77e-8 -> -0.99999923
1257fmax3482 fma 1 -1 77e-9 -> -0.999999923
1258fmax3483 fma 1 -1 77e-10 -> -0.999999992 Inexact Rounded
1259fmax3484 fma 1 -1 77e-11 -> -0.999999999 Inexact Rounded
1260fmax3485 fma 1 -1 77e-12 -> -1.00000000 Inexact Rounded
1261fmax3486 fma 1 -1 77e-999 -> -1.00000000 Inexact Rounded
1262fmax3487 fma 1 -1 77e-999999 -> -1.00000000 Inexact Rounded
1263
1264fmax3490 fma 1 -10 77e-7 -> -9.9999923
1265fmax3491 fma 1 -10 77e-8 -> -9.99999923
1266fmax3492 fma 1 -10 77e-9 -> -9.99999992 Inexact Rounded
1267fmax3493 fma 1 -10 77e-10 -> -9.99999999 Inexact Rounded
1268fmax3494 fma 1 -10 77e-11 -> -10.0000000 Inexact Rounded
1269fmax3495 fma 1 -10 77e-12 -> -10.0000000 Inexact Rounded
1270fmax3496 fma 1 -10 77e-999 -> -10.0000000 Inexact Rounded
1271fmax3497 fma 1 -10 77e-999999 -> -10.0000000 Inexact Rounded
1272
1273fmax3500 fma 1 77e-7 -1 -> -0.9999923
1274fmax3501 fma 1 77e-8 -1 -> -0.99999923
1275fmax3502 fma 1 77e-9 -1 -> -0.999999923
1276fmax3503 fma 1 77e-10 -1 -> -0.999999992 Inexact Rounded
1277fmax3504 fma 1 77e-11 -1 -> -0.999999999 Inexact Rounded
1278fmax3505 fma 1 77e-12 -1 -> -1.00000000 Inexact Rounded
1279fmax3506 fma 1 77e-999 -1 -> -1.00000000 Inexact Rounded
1280fmax3507 fma 1 77e-999999 -1 -> -1.00000000 Inexact Rounded
1281
1282fmax3510 fma 1 77e-7 -10 -> -9.9999923
1283fmax3511 fma 1 77e-8 -10 -> -9.99999923
1284fmax3512 fma 1 77e-9 -10 -> -9.99999992 Inexact Rounded
1285fmax3513 fma 1 77e-10 -10 -> -9.99999999 Inexact Rounded
1286fmax3514 fma 1 77e-11 -10 -> -10.0000000 Inexact Rounded
1287fmax3515 fma 1 77e-12 -10 -> -10.0000000 Inexact Rounded
1288fmax3516 fma 1 77e-999 -10 -> -10.0000000 Inexact Rounded
1289fmax3517 fma 1 77e-999999 -10 -> -10.0000000 Inexact Rounded
1290
1291
1292-- long operands
1293maxexponent: 999
1294minexponent: -999
1295precision: 9
1296fmax3521 fma 1 12345678000 0 -> 1.23456780E+10 Rounded
1297fmax3522 fma 1 0 12345678000 -> 1.23456780E+10 Rounded
1298fmax3523 fma 1 1234567800 0 -> 1.23456780E+9 Rounded
1299fmax3524 fma 1 0 1234567800 -> 1.23456780E+9 Rounded
1300fmax3525 fma 1 1234567890 0 -> 1.23456789E+9 Rounded
1301fmax3526 fma 1 0 1234567890 -> 1.23456789E+9 Rounded
1302fmax3527 fma 1 1234567891 0 -> 1.23456789E+9 Inexact Rounded
1303fmax3528 fma 1 0 1234567891 -> 1.23456789E+9 Inexact Rounded
1304fmax3529 fma 1 12345678901 0 -> 1.23456789E+10 Inexact Rounded
1305fmax3530 fma 1 0 12345678901 -> 1.23456789E+10 Inexact Rounded
1306fmax3531 fma 1 1234567896 0 -> 1.23456790E+9 Inexact Rounded
1307fmax3532 fma 1 0 1234567896 -> 1.23456790E+9 Inexact Rounded
1308
1309precision: 15
1310-- still checking
1311fmax3541 fma 1 12345678000 0 -> 12345678000
1312fmax3542 fma 1 0 12345678000 -> 12345678000
1313fmax3543 fma 1 1234567800 0 -> 1234567800
1314fmax3544 fma 1 0 1234567800 -> 1234567800
1315fmax3545 fma 1 1234567890 0 -> 1234567890
1316fmax3546 fma 1 0 1234567890 -> 1234567890
1317fmax3547 fma 1 1234567891 0 -> 1234567891
1318fmax3548 fma 1 0 1234567891 -> 1234567891
1319fmax3549 fma 1 12345678901 0 -> 12345678901
1320fmax3550 fma 1 0 12345678901 -> 12345678901
1321fmax3551 fma 1 1234567896 0 -> 1234567896
1322fmax3552 fma 1 0 1234567896 -> 1234567896
1323
1324-- verify a query
1325precision: 16
1326maxExponent: +394
1327minExponent: -393
1328rounding: down
1329fmax3561 fma 1 1e-398 9.000000000000000E+384 -> 9.000000000000000E+384 Inexact Rounded
1330fmax3562 fma 1 0 9.000000000000000E+384 -> 9.000000000000000E+384 Rounded
1331-- and using decimal64 bounds...
1332precision: 16
1333maxExponent: +384
1334minExponent: -383
1335rounding: down
1336fmax3563 fma 1 1e-388 9.000000000000000E+374 -> 9.000000000000000E+374 Inexact Rounded
1337fmax3564 fma 1 0 9.000000000000000E+374 -> 9.000000000000000E+374 Rounded
1338
1339
1340-- some more residue effects with extreme rounding
1341precision: 9
1342rounding: half_up
1343fmax3601 fma 1 123456789 0.000001 -> 123456789 Inexact Rounded
1344rounding: half_even
1345fmax3602 fma 1 123456789 0.000001 -> 123456789 Inexact Rounded
1346rounding: half_down
1347fmax3603 fma 1 123456789 0.000001 -> 123456789 Inexact Rounded
1348rounding: floor
1349fmax3604 fma 1 123456789 0.000001 -> 123456789 Inexact Rounded
1350rounding: ceiling
1351fmax3605 fma 1 123456789 0.000001 -> 123456790 Inexact Rounded
1352rounding: up
1353fmax3606 fma 1 123456789 0.000001 -> 123456790 Inexact Rounded
1354rounding: down
1355fmax3607 fma 1 123456789 0.000001 -> 123456789 Inexact Rounded
1356
1357rounding: half_up
1358fmax3611 fma 1 123456789 -0.000001 -> 123456789 Inexact Rounded
1359rounding: half_even
1360fmax3612 fma 1 123456789 -0.000001 -> 123456789 Inexact Rounded
1361rounding: half_down
1362fmax3613 fma 1 123456789 -0.000001 -> 123456789 Inexact Rounded
1363rounding: floor
1364fmax3614 fma 1 123456789 -0.000001 -> 123456788 Inexact Rounded
1365rounding: ceiling
1366fmax3615 fma 1 123456789 -0.000001 -> 123456789 Inexact Rounded
1367rounding: up
1368fmax3616 fma 1 123456789 -0.000001 -> 123456789 Inexact Rounded
1369rounding: down
1370fmax3617 fma 1 123456789 -0.000001 -> 123456788 Inexact Rounded
1371
1372rounding: half_up
1373fmax3621 fma 1 123456789 0.499999 -> 123456789 Inexact Rounded
1374rounding: half_even
1375fmax3622 fma 1 123456789 0.499999 -> 123456789 Inexact Rounded
1376rounding: half_down
1377fmax3623 fma 1 123456789 0.499999 -> 123456789 Inexact Rounded
1378rounding: floor
1379fmax3624 fma 1 123456789 0.499999 -> 123456789 Inexact Rounded
1380rounding: ceiling
1381fmax3625 fma 1 123456789 0.499999 -> 123456790 Inexact Rounded
1382rounding: up
1383fmax3626 fma 1 123456789 0.499999 -> 123456790 Inexact Rounded
1384rounding: down
1385fmax3627 fma 1 123456789 0.499999 -> 123456789 Inexact Rounded
1386
1387rounding: half_up
1388fmax3631 fma 1 123456789 -0.499999 -> 123456789 Inexact Rounded
1389rounding: half_even
1390fmax3632 fma 1 123456789 -0.499999 -> 123456789 Inexact Rounded
1391rounding: half_down
1392fmax3633 fma 1 123456789 -0.499999 -> 123456789 Inexact Rounded
1393rounding: floor
1394fmax3634 fma 1 123456789 -0.499999 -> 123456788 Inexact Rounded
1395rounding: ceiling
1396fmax3635 fma 1 123456789 -0.499999 -> 123456789 Inexact Rounded
1397rounding: up
1398fmax3636 fma 1 123456789 -0.499999 -> 123456789 Inexact Rounded
1399rounding: down
1400fmax3637 fma 1 123456789 -0.499999 -> 123456788 Inexact Rounded
1401
1402rounding: half_up
1403fmax3641 fma 1 123456789 0.500001 -> 123456790 Inexact Rounded
1404rounding: half_even
1405fmax3642 fma 1 123456789 0.500001 -> 123456790 Inexact Rounded
1406rounding: half_down
1407fmax3643 fma 1 123456789 0.500001 -> 123456790 Inexact Rounded
1408rounding: floor
1409fmax3644 fma 1 123456789 0.500001 -> 123456789 Inexact Rounded
1410rounding: ceiling
1411fmax3645 fma 1 123456789 0.500001 -> 123456790 Inexact Rounded
1412rounding: up
1413fmax3646 fma 1 123456789 0.500001 -> 123456790 Inexact Rounded
1414rounding: down
1415fmax3647 fma 1 123456789 0.500001 -> 123456789 Inexact Rounded
1416
1417rounding: half_up
1418fmax3651 fma 1 123456789 -0.500001 -> 123456788 Inexact Rounded
1419rounding: half_even
1420fmax3652 fma 1 123456789 -0.500001 -> 123456788 Inexact Rounded
1421rounding: half_down
1422fmax3653 fma 1 123456789 -0.500001 -> 123456788 Inexact Rounded
1423rounding: floor
1424fmax3654 fma 1 123456789 -0.500001 -> 123456788 Inexact Rounded
1425rounding: ceiling
1426fmax3655 fma 1 123456789 -0.500001 -> 123456789 Inexact Rounded
1427rounding: up
1428fmax3656 fma 1 123456789 -0.500001 -> 123456789 Inexact Rounded
1429rounding: down
1430fmax3657 fma 1 123456789 -0.500001 -> 123456788 Inexact Rounded
1431
1432-- long operand triangle
1433rounding: half_up
1434precision: 37
1435fmax3660 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337114834538
1436precision: 36
1437fmax3661 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711483454 Inexact Rounded
1438precision: 35
1439fmax3662 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371148345 Inexact Rounded
1440precision: 34
1441fmax3663 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337114835 Inexact Rounded
1442precision: 33
1443fmax3664 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711483 Inexact Rounded
1444precision: 32
1445fmax3665 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371148 Inexact Rounded
1446precision: 31
1447fmax3666 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337115 Inexact Rounded
1448precision: 30
1449fmax3667 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711 Inexact Rounded
1450precision: 29
1451fmax3668 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371 Inexact Rounded
1452precision: 28
1453fmax3669 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337 Inexact Rounded
1454precision: 27
1455fmax3670 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892234 Inexact Rounded
1456precision: 26
1457fmax3671 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223 Inexact Rounded
1458precision: 25
1459fmax3672 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922 Inexact Rounded
1460precision: 24
1461fmax3673 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892 Inexact Rounded
1462precision: 23
1463fmax3674 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389 Inexact Rounded
1464precision: 22
1465fmax3675 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023639 Inexact Rounded
1466precision: 21
1467fmax3676 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102364 Inexact Rounded
1468precision: 20
1469fmax3677 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236 Inexact Rounded
1470precision: 19
1471fmax3678 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211024 Inexact Rounded
1472precision: 18
1473fmax3679 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102 Inexact Rounded
1474precision: 17
1475fmax3680 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110 Inexact Rounded
1476precision: 16
1477fmax3681 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211 Inexact Rounded
1478precision: 15
1479fmax3682 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221 Inexact Rounded
1480precision: 14
1481fmax3683 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422 Inexact Rounded
1482precision: 13
1483fmax3684 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42 Inexact Rounded
1484precision: 12
1485fmax3685 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4 Inexact Rounded
1486precision: 11
1487fmax3686 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166 Inexact Rounded
1488precision: 10
1489fmax3687 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847117417E+10 Inexact Rounded
1490precision: 9
1491fmax3688 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.84711742E+10 Inexact Rounded
1492precision: 8
1493fmax3689 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8471174E+10 Inexact Rounded
1494precision: 7
1495fmax3690 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847117E+10 Inexact Rounded
1496precision: 6
1497fmax3691 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.84712E+10 Inexact Rounded
1498precision: 5
1499fmax3692 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8471E+10 Inexact Rounded
1500precision: 4
1501fmax3693 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847E+10 Inexact Rounded
1502precision: 3
1503fmax3694 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.85E+10 Inexact Rounded
1504precision: 2
1505fmax3695 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8E+10 Inexact Rounded
1506precision: 1
1507fmax3696 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 1E+11 Inexact Rounded
1508
1509-- more zeros, etc.
1510rounding: half_up
1511precision: 9
1512
1513fmax3701 fma 1 5.00 1.00E-3 -> 5.00100
1514fmax3702 fma 1 00.00 0.000 -> 0.000
1515fmax3703 fma 1 00.00 0E-3 -> 0.000
1516fmax3704 fma 1 0E-3 00.00 -> 0.000
1517
1518fmax3710 fma 1 0E+3 00.00 -> 0.00
1519fmax3711 fma 1 0E+3 00.0 -> 0.0
1520fmax3712 fma 1 0E+3 00. -> 0
1521fmax3713 fma 1 0E+3 00.E+1 -> 0E+1
1522fmax3714 fma 1 0E+3 00.E+2 -> 0E+2
1523fmax3715 fma 1 0E+3 00.E+3 -> 0E+3
1524fmax3716 fma 1 0E+3 00.E+4 -> 0E+3
1525fmax3717 fma 1 0E+3 00.E+5 -> 0E+3
1526fmax3718 fma 1 0E+3 -00.0 -> 0.0
1527fmax3719 fma 1 0E+3 -00. -> 0
1528fmax3731 fma 1 0E+3 -00.E+1 -> 0E+1
1529
1530fmax3720 fma 1 00.00 0E+3 -> 0.00
1531fmax3721 fma 1 00.0 0E+3 -> 0.0
1532fmax3722 fma 1 00. 0E+3 -> 0
1533fmax3723 fma 1 00.E+1 0E+3 -> 0E+1
1534fmax3724 fma 1 00.E+2 0E+3 -> 0E+2
1535fmax3725 fma 1 00.E+3 0E+3 -> 0E+3
1536fmax3726 fma 1 00.E+4 0E+3 -> 0E+3
1537fmax3727 fma 1 00.E+5 0E+3 -> 0E+3
1538fmax3728 fma 1 -00.00 0E+3 -> 0.00
1539fmax3729 fma 1 -00.0 0E+3 -> 0.0
1540fmax3730 fma 1 -00. 0E+3 -> 0
1541
1542fmax3732 fma 1 0 0 -> 0
1543fmax3733 fma 1 0 -0 -> 0
1544fmax3734 fma 1 -0 0 -> 0
1545fmax3735 fma 1 -0 -0 -> -0 -- IEEE 854 special case
1546
1547fmax3736 fma 1 1 -1 -> 0
1548fmax3737 fma 1 -1 -1 -> -2
1549fmax3738 fma 1 1 1 -> 2
1550fmax3739 fma 1 -1 1 -> 0
1551
1552fmax3741 fma 1 0 -1 -> -1
1553fmax3742 fma 1 -0 -1 -> -1
1554fmax3743 fma 1 0 1 -> 1
1555fmax3744 fma 1 -0 1 -> 1
1556fmax3745 fma 1 -1 0 -> -1
1557fmax3746 fma 1 -1 -0 -> -1
1558fmax3747 fma 1 1 0 -> 1
1559fmax3748 fma 1 1 -0 -> 1
1560
1561fmax3751 fma 1 0.0 -1 -> -1.0
1562fmax3752 fma 1 -0.0 -1 -> -1.0
1563fmax3753 fma 1 0.0 1 -> 1.0
1564fmax3754 fma 1 -0.0 1 -> 1.0
1565fmax3755 fma 1 -1.0 0 -> -1.0
1566fmax3756 fma 1 -1.0 -0 -> -1.0
1567fmax3757 fma 1 1.0 0 -> 1.0
1568fmax3758 fma 1 1.0 -0 -> 1.0
1569
1570fmax3761 fma 1 0 -1.0 -> -1.0
1571fmax3762 fma 1 -0 -1.0 -> -1.0
1572fmax3763 fma 1 0 1.0 -> 1.0
1573fmax3764 fma 1 -0 1.0 -> 1.0
1574fmax3765 fma 1 -1 0.0 -> -1.0
1575fmax3766 fma 1 -1 -0.0 -> -1.0
1576fmax3767 fma 1 1 0.0 -> 1.0
1577fmax3768 fma 1 1 -0.0 -> 1.0
1578
1579fmax3771 fma 1 0.0 -1.0 -> -1.0
1580fmax3772 fma 1 -0.0 -1.0 -> -1.0
1581fmax3773 fma 1 0.0 1.0 -> 1.0
1582fmax3774 fma 1 -0.0 1.0 -> 1.0
1583fmax3775 fma 1 -1.0 0.0 -> -1.0
1584fmax3776 fma 1 -1.0 -0.0 -> -1.0
1585fmax3777 fma 1 1.0 0.0 -> 1.0
1586fmax3778 fma 1 1.0 -0.0 -> 1.0
1587
1588-- Specials
1589fmax3780 fma 1 -Inf -Inf -> -Infinity
1590fmax3781 fma 1 -Inf -1000 -> -Infinity
1591fmax3782 fma 1 -Inf -1 -> -Infinity
1592fmax3783 fma 1 -Inf -0 -> -Infinity
1593fmax3784 fma 1 -Inf 0 -> -Infinity
1594fmax3785 fma 1 -Inf 1 -> -Infinity
1595fmax3786 fma 1 -Inf 1000 -> -Infinity
1596fmax3787 fma 1 -1000 -Inf -> -Infinity
1597fmax3788 fma 1 -Inf -Inf -> -Infinity
1598fmax3789 fma 1 -1 -Inf -> -Infinity
1599fmax3790 fma 1 -0 -Inf -> -Infinity
1600fmax3791 fma 1 0 -Inf -> -Infinity
1601fmax3792 fma 1 1 -Inf -> -Infinity
1602fmax3793 fma 1 1000 -Inf -> -Infinity
1603fmax3794 fma 1 Inf -Inf -> NaN Invalid_operation
1604
1605fmax3800 fma 1 Inf -Inf -> NaN Invalid_operation
1606fmax3801 fma 1 Inf -1000 -> Infinity
1607fmax3802 fma 1 Inf -1 -> Infinity
1608fmax3803 fma 1 Inf -0 -> Infinity
1609fmax3804 fma 1 Inf 0 -> Infinity
1610fmax3805 fma 1 Inf 1 -> Infinity
1611fmax3806 fma 1 Inf 1000 -> Infinity
1612fmax3807 fma 1 Inf Inf -> Infinity
1613fmax3808 fma 1 -1000 Inf -> Infinity
1614fmax3809 fma 1 -Inf Inf -> NaN Invalid_operation
1615fmax3810 fma 1 -1 Inf -> Infinity
1616fmax3811 fma 1 -0 Inf -> Infinity
1617fmax3812 fma 1 0 Inf -> Infinity
1618fmax3813 fma 1 1 Inf -> Infinity
1619fmax3814 fma 1 1000 Inf -> Infinity
1620fmax3815 fma 1 Inf Inf -> Infinity
1621
1622fmax3821 fma 1 NaN -Inf -> NaN
1623fmax3822 fma 1 NaN -1000 -> NaN
1624fmax3823 fma 1 NaN -1 -> NaN
1625fmax3824 fma 1 NaN -0 -> NaN
1626fmax3825 fma 1 NaN 0 -> NaN
1627fmax3826 fma 1 NaN 1 -> NaN
1628fmax3827 fma 1 NaN 1000 -> NaN
1629fmax3828 fma 1 NaN Inf -> NaN
1630fmax3829 fma 1 NaN NaN -> NaN
1631fmax3830 fma 1 -Inf NaN -> NaN
1632fmax3831 fma 1 -1000 NaN -> NaN
1633fmax3832 fma 1 -1 NaN -> NaN
1634fmax3833 fma 1 -0 NaN -> NaN
1635fmax3834 fma 1 0 NaN -> NaN
1636fmax3835 fma 1 1 NaN -> NaN
1637fmax3836 fma 1 1000 NaN -> NaN
1638fmax3837 fma 1 Inf NaN -> NaN
1639
1640fmax3841 fma 1 sNaN -Inf -> NaN Invalid_operation
1641fmax3842 fma 1 sNaN -1000 -> NaN Invalid_operation
1642fmax3843 fma 1 sNaN -1 -> NaN Invalid_operation
1643fmax3844 fma 1 sNaN -0 -> NaN Invalid_operation
1644fmax3845 fma 1 sNaN 0 -> NaN Invalid_operation
1645fmax3846 fma 1 sNaN 1 -> NaN Invalid_operation
1646fmax3847 fma 1 sNaN 1000 -> NaN Invalid_operation
1647fmax3848 fma 1 sNaN NaN -> NaN Invalid_operation
1648fmax3849 fma 1 sNaN sNaN -> NaN Invalid_operation
1649fmax3850 fma 1 NaN sNaN -> NaN Invalid_operation
1650fmax3851 fma 1 -Inf sNaN -> NaN Invalid_operation
1651fmax3852 fma 1 -1000 sNaN -> NaN Invalid_operation
1652fmax3853 fma 1 -1 sNaN -> NaN Invalid_operation
1653fmax3854 fma 1 -0 sNaN -> NaN Invalid_operation
1654fmax3855 fma 1 0 sNaN -> NaN Invalid_operation
1655fmax3856 fma 1 1 sNaN -> NaN Invalid_operation
1656fmax3857 fma 1 1000 sNaN -> NaN Invalid_operation
1657fmax3858 fma 1 Inf sNaN -> NaN Invalid_operation
1658fmax3859 fma 1 NaN sNaN -> NaN Invalid_operation
1659
1660-- propagating NaNs
1661fmax3861 fma 1 NaN1 -Inf -> NaN1
1662fmax3862 fma 1 +NaN2 -1000 -> NaN2
1663fmax3863 fma 1 NaN3 1000 -> NaN3
1664fmax3864 fma 1 NaN4 Inf -> NaN4
1665fmax3865 fma 1 NaN5 +NaN6 -> NaN5
1666fmax3866 fma 1 -Inf NaN7 -> NaN7
1667fmax3867 fma 1 -1000 NaN8 -> NaN8
1668fmax3868 fma 1 1000 NaN9 -> NaN9
1669fmax3869 fma 1 Inf +NaN10 -> NaN10
1670fmax3871 fma 1 sNaN11 -Inf -> NaN11 Invalid_operation
1671fmax3872 fma 1 sNaN12 -1000 -> NaN12 Invalid_operation
1672fmax3873 fma 1 sNaN13 1000 -> NaN13 Invalid_operation
1673fmax3874 fma 1 sNaN14 NaN17 -> NaN14 Invalid_operation
1674fmax3875 fma 1 sNaN15 sNaN18 -> NaN15 Invalid_operation
1675fmax3876 fma 1 NaN16 sNaN19 -> NaN19 Invalid_operation
1676fmax3877 fma 1 -Inf +sNaN20 -> NaN20 Invalid_operation
1677fmax3878 fma 1 -1000 sNaN21 -> NaN21 Invalid_operation
1678fmax3879 fma 1 1000 sNaN22 -> NaN22 Invalid_operation
1679fmax3880 fma 1 Inf sNaN23 -> NaN23 Invalid_operation
1680fmax3881 fma 1 +NaN25 +sNaN24 -> NaN24 Invalid_operation
1681fmax3882 fma 1 -NaN26 NaN28 -> -NaN26
1682fmax3883 fma 1 -sNaN27 sNaN29 -> -NaN27 Invalid_operation
1683fmax3884 fma 1 1000 -NaN30 -> -NaN30
1684fmax3885 fma 1 1000 -sNaN31 -> -NaN31 Invalid_operation
1685
1686-- overflow, underflow and subnormal tests
1687maxexponent: 999999
1688minexponent: -999999
1689precision: 9
1690fmax3890 fma 1 1E+999999 9E+999999 -> Infinity Overflow Inexact Rounded
1691fmax3891 fma 1 9E+999999 1E+999999 -> Infinity Overflow Inexact Rounded
1692fmax3892 fma 1 -1.1E-999999 1E-999999 -> -1E-1000000 Subnormal
1693fmax3893 fma 1 1E-999999 -1.1e-999999 -> -1E-1000000 Subnormal
1694fmax3894 fma 1 -1.0001E-999999 1E-999999 -> -1E-1000003 Subnormal
1695fmax3895 fma 1 1E-999999 -1.0001e-999999 -> -1E-1000003 Subnormal
1696fmax3896 fma 1 -1E+999999 -9E+999999 -> -Infinity Overflow Inexact Rounded
1697fmax3897 fma 1 -9E+999999 -1E+999999 -> -Infinity Overflow Inexact Rounded
1698fmax3898 fma 1 +1.1E-999999 -1E-999999 -> 1E-1000000 Subnormal
1699fmax3899 fma 1 -1E-999999 +1.1e-999999 -> 1E-1000000 Subnormal
1700fmax3900 fma 1 +1.0001E-999999 -1E-999999 -> 1E-1000003 Subnormal
1701fmax3901 fma 1 -1E-999999 +1.0001e-999999 -> 1E-1000003 Subnormal
1702fmax3902 fma 1 -1E+999999 +9E+999999 -> 8E+999999
1703fmax3903 fma 1 -9E+999999 +1E+999999 -> -8E+999999
1704
1705precision: 3
1706fmax3904 fma 1 0 -9.999E+999999 -> -Infinity Inexact Overflow Rounded
1707fmax3905 fma 1 -9.999E+999999 0 -> -Infinity Inexact Overflow Rounded
1708fmax3906 fma 1 0 9.999E+999999 -> Infinity Inexact Overflow Rounded
1709fmax3907 fma 1 9.999E+999999 0 -> Infinity Inexact Overflow Rounded
1710
1711precision: 3
1712maxexponent: 999
1713minexponent: -999
1714fmax3910 fma 1 1.00E-999 0 -> 1.00E-999
1715fmax3911 fma 1 0.1E-999 0 -> 1E-1000 Subnormal
1716fmax3912 fma 1 0.10E-999 0 -> 1.0E-1000 Subnormal
1717fmax3913 fma 1 0.100E-999 0 -> 1.0E-1000 Subnormal Rounded
1718fmax3914 fma 1 0.01E-999 0 -> 1E-1001 Subnormal
1719-- next is rounded to Nmin
1720fmax3915 fma 1 0.999E-999 0 -> 1.00E-999 Inexact Rounded Subnormal Underflow
1721fmax3916 fma 1 0.099E-999 0 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
1722fmax3917 fma 1 0.009E-999 0 -> 1E-1001 Inexact Rounded Subnormal Underflow
1723fmax3918 fma 1 0.001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
1724fmax3919 fma 1 0.0009E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
1725fmax3920 fma 1 0.0001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
1726
1727fmax3930 fma 1 -1.00E-999 0 -> -1.00E-999
1728fmax3931 fma 1 -0.1E-999 0 -> -1E-1000 Subnormal
1729fmax3932 fma 1 -0.10E-999 0 -> -1.0E-1000 Subnormal
1730fmax3933 fma 1 -0.100E-999 0 -> -1.0E-1000 Subnormal Rounded
1731fmax3934 fma 1 -0.01E-999 0 -> -1E-1001 Subnormal
1732-- next is rounded to Nmin
1733fmax3935 fma 1 -0.999E-999 0 -> -1.00E-999 Inexact Rounded Subnormal Underflow
1734fmax3936 fma 1 -0.099E-999 0 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
1735fmax3937 fma 1 -0.009E-999 0 -> -1E-1001 Inexact Rounded Subnormal Underflow
1736fmax3938 fma 1 -0.001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
1737fmax3939 fma 1 -0.0009E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
1738fmax3940 fma 1 -0.0001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
1739
1740-- some non-zero subnormal fma 1 s
1741fmax3950 fma 1 1.00E-999 0.1E-999 -> 1.10E-999
1742fmax3951 fma 1 0.1E-999 0.1E-999 -> 2E-1000 Subnormal
1743fmax3952 fma 1 0.10E-999 0.1E-999 -> 2.0E-1000 Subnormal
1744fmax3953 fma 1 0.100E-999 0.1E-999 -> 2.0E-1000 Subnormal Rounded
1745fmax3954 fma 1 0.01E-999 0.1E-999 -> 1.1E-1000 Subnormal
1746fmax3955 fma 1 0.999E-999 0.1E-999 -> 1.10E-999 Inexact Rounded
1747fmax3956 fma 1 0.099E-999 0.1E-999 -> 2.0E-1000 Inexact Rounded Subnormal Underflow
1748fmax3957 fma 1 0.009E-999 0.1E-999 -> 1.1E-1000 Inexact Rounded Subnormal Underflow
1749fmax3958 fma 1 0.001E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
1750fmax3959 fma 1 0.0009E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
1751fmax3960 fma 1 0.0001E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
1752-- negatives...
1753fmax3961 fma 1 1.00E-999 -0.1E-999 -> 9.0E-1000 Subnormal
1754fmax3962 fma 1 0.1E-999 -0.1E-999 -> 0E-1000
1755fmax3963 fma 1 0.10E-999 -0.1E-999 -> 0E-1001
1756fmax3964 fma 1 0.100E-999 -0.1E-999 -> 0E-1001 Clamped
1757fmax3965 fma 1 0.01E-999 -0.1E-999 -> -9E-1001 Subnormal
1758fmax3966 fma 1 0.999E-999 -0.1E-999 -> 9.0E-1000 Inexact Rounded Subnormal Underflow
1759fmax3967 fma 1 0.099E-999 -0.1E-999 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
1760fmax3968 fma 1 0.009E-999 -0.1E-999 -> -9E-1001 Inexact Rounded Subnormal Underflow
1761fmax3969 fma 1 0.001E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
1762fmax3970 fma 1 0.0009E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
1763fmax3971 fma 1 0.0001E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
1764
1765-- some 'real' numbers
1766maxExponent: 384
1767minExponent: -383
1768precision: 8
1769fmax3566 fma 1 99999061735E-394 0E-394 -> 9.999906E-384 Inexact Rounded Underflow Subnormal
1770precision: 7
1771fmax3567 fma 1 99999061735E-394 0E-394 -> 9.99991E-384 Inexact Rounded Underflow Subnormal
1772precision: 6
1773fmax3568 fma 1 99999061735E-394 0E-394 -> 9.9999E-384 Inexact Rounded Underflow Subnormal
1774
1775-- now the case where we can get underflow but the result is normal
1776-- [note this can't happen if the operands are also bounded, as we
1777-- cannot represent 1E-399, for example]
1778precision: 16
1779rounding: half_up
1780maxExponent: 384
1781minExponent: -383
1782
1783fmax3571 fma 1 1E-383 0 -> 1E-383
1784fmax3572 fma 1 1E-384 0 -> 1E-384 Subnormal
1785fmax3573 fma 1 1E-383 1E-384 -> 1.1E-383
1786fmax3574 subtract 1E-383 1E-384 -> 9E-384 Subnormal
1787
1788-- Here we explore the boundary of rounding a subnormal to Nmin
1789fmax3575 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal
1790fmax3576 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal
1791fmax3577 subtract 1E-383 1E-399 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
1792fmax3578 subtract 1E-383 1E-400 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
1793fmax3579 subtract 1E-383 1E-401 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
1794fmax3580 subtract 1E-383 1E-402 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
1795
1796-- check for double-rounded subnormals
1797precision: 5
1798maxexponent: 79
1799minexponent: -79
1800-- Add: lhs and rhs 0
1801fmax31001 fma 1 1.52444E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1802fmax31002 fma 1 1.52445E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1803fmax31003 fma 1 1.52446E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1804fmax31004 fma 1 0 1.52444E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1805fmax31005 fma 1 0 1.52445E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1806fmax31006 fma 1 0 1.52446E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1807
1808-- Add: lhs >> rhs and vice versa
1809fmax31011 fma 1 1.52444E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1810fmax31012 fma 1 1.52445E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1811fmax31013 fma 1 1.52446E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1812fmax31014 fma 1 1E-100 1.52444E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1813fmax31015 fma 1 1E-100 1.52445E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1814fmax31016 fma 1 1E-100 1.52446E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1815
1816-- Add: lhs + rhs fma 1 ition carried out
1817fmax31021 fma 1 1.52443E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
1818fmax31022 fma 1 1.52444E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
1819fmax31023 fma 1 1.52445E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
1820fmax31024 fma 1 1.00001E-80 1.52443E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
1821fmax31025 fma 1 1.00001E-80 1.52444E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
1822fmax31026 fma 1 1.00001E-80 1.52445E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
1823
1824-- And for round down full and subnormal results
1825precision: 16
1826maxExponent: +384
1827minExponent: -383
1828rounding: down
1829
1830fmax31100 fma 1 1e+2 -1e-383 -> 99.99999999999999 Rounded Inexact
1831fmax31101 fma 1 1e+1 -1e-383 -> 9.999999999999999 Rounded Inexact
1832fmax31103 fma 1 +1 -1e-383 -> 0.9999999999999999 Rounded Inexact
1833fmax31104 fma 1 1e-1 -1e-383 -> 0.09999999999999999 Rounded Inexact
1834fmax31105 fma 1 1e-2 -1e-383 -> 0.009999999999999999 Rounded Inexact
1835fmax31106 fma 1 1e-3 -1e-383 -> 0.0009999999999999999 Rounded Inexact
1836fmax31107 fma 1 1e-4 -1e-383 -> 0.00009999999999999999 Rounded Inexact
1837fmax31108 fma 1 1e-5 -1e-383 -> 0.000009999999999999999 Rounded Inexact
1838fmax31109 fma 1 1e-6 -1e-383 -> 9.999999999999999E-7 Rounded Inexact
1839
1840rounding: ceiling
1841fmax31110 fma 1 -1e+2 +1e-383 -> -99.99999999999999 Rounded Inexact
1842fmax31111 fma 1 -1e+1 +1e-383 -> -9.999999999999999 Rounded Inexact
1843fmax31113 fma 1 -1 +1e-383 -> -0.9999999999999999 Rounded Inexact
1844fmax31114 fma 1 -1e-1 +1e-383 -> -0.09999999999999999 Rounded Inexact
1845fmax31115 fma 1 -1e-2 +1e-383 -> -0.009999999999999999 Rounded Inexact
1846fmax31116 fma 1 -1e-3 +1e-383 -> -0.0009999999999999999 Rounded Inexact
1847fmax31117 fma 1 -1e-4 +1e-383 -> -0.00009999999999999999 Rounded Inexact
1848fmax31118 fma 1 -1e-5 +1e-383 -> -0.000009999999999999999 Rounded Inexact
1849fmax31119 fma 1 -1e-6 +1e-383 -> -9.999999999999999E-7 Rounded Inexact
1850
1851rounding: down
1852precision: 7
1853maxExponent: +96
1854minExponent: -95
1855fmax31130 fma 1 1 -1e-200 -> 0.9999999 Rounded Inexact
1856-- subnormal boundary
1857fmax31131 fma 1 1.000000E-94 -1e-200 -> 9.999999E-95 Rounded Inexact
1858fmax31132 fma 1 1.000001E-95 -1e-200 -> 1.000000E-95 Rounded Inexact
1859fmax31133 fma 1 1.000000E-95 -1e-200 -> 9.99999E-96 Rounded Inexact Subnormal Underflow
1860fmax31134 fma 1 0.999999E-95 -1e-200 -> 9.99998E-96 Rounded Inexact Subnormal Underflow
1861fmax31135 fma 1 0.001000E-95 -1e-200 -> 9.99E-99 Rounded Inexact Subnormal Underflow
1862fmax31136 fma 1 0.000999E-95 -1e-200 -> 9.98E-99 Rounded Inexact Subnormal Underflow
1863fmax31137 fma 1 1.000000E-95 -1e-101 -> 9.99999E-96 Subnormal
1864fmax31138 fma 1 10000E-101 -1e-200 -> 9.999E-98 Subnormal Inexact Rounded Underflow
1865fmax31139 fma 1 1000E-101 -1e-200 -> 9.99E-99 Subnormal Inexact Rounded Underflow
1866fmax31140 fma 1 100E-101 -1e-200 -> 9.9E-100 Subnormal Inexact Rounded Underflow
1867fmax31141 fma 1 10E-101 -1e-200 -> 9E-101 Subnormal Inexact Rounded Underflow
1868fmax31142 fma 1 1E-101 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
1869fmax31143 fma 1 0E-101 -1e-200 -> -0E-101 Subnormal Inexact Rounded Underflow Clamped
1870fmax31144 fma 1 1E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
1871
1872fmax31151 fma 1 10000E-102 -1e-200 -> 9.99E-99 Subnormal Inexact Rounded Underflow
1873fmax31152 fma 1 1000E-102 -1e-200 -> 9.9E-100 Subnormal Inexact Rounded Underflow
1874fmax31153 fma 1 100E-102 -1e-200 -> 9E-101 Subnormal Inexact Rounded Underflow
1875fmax31154 fma 1 10E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
1876fmax31155 fma 1 1E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
1877fmax31156 fma 1 0E-102 -1e-200 -> -0E-101 Subnormal Inexact Rounded Underflow Clamped
1878fmax31157 fma 1 1E-103 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
1879
1880fmax31160 fma 1 100E-105 -1e-101 -> -0E-101 Subnormal Inexact Rounded Underflow Clamped
1881fmax31161 fma 1 100E-105 -1e-201 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
1882
1883-- tests based on Gunnar Degnbol's edge case
1884precision: 15
1885rounding: half_up
1886maxExponent: 384
1887minexponent: -383
1888
1889fmax31200 fma 1 1E15 -0.5 -> 1.00000000000000E+15 Inexact Rounded
1890fmax31201 fma 1 1E15 -0.50 -> 1.00000000000000E+15 Inexact Rounded
1891fmax31210 fma 1 1E15 -0.51 -> 999999999999999 Inexact Rounded
1892fmax31211 fma 1 1E15 -0.501 -> 999999999999999 Inexact Rounded
1893fmax31212 fma 1 1E15 -0.5001 -> 999999999999999 Inexact Rounded
1894fmax31213 fma 1 1E15 -0.50001 -> 999999999999999 Inexact Rounded
1895fmax31214 fma 1 1E15 -0.500001 -> 999999999999999 Inexact Rounded
1896fmax31215 fma 1 1E15 -0.5000001 -> 999999999999999 Inexact Rounded
1897fmax31216 fma 1 1E15 -0.50000001 -> 999999999999999 Inexact Rounded
1898fmax31217 fma 1 1E15 -0.500000001 -> 999999999999999 Inexact Rounded
1899fmax31218 fma 1 1E15 -0.5000000001 -> 999999999999999 Inexact Rounded
1900fmax31219 fma 1 1E15 -0.50000000001 -> 999999999999999 Inexact Rounded
1901fmax31220 fma 1 1E15 -0.500000000001 -> 999999999999999 Inexact Rounded
1902fmax31221 fma 1 1E15 -0.5000000000001 -> 999999999999999 Inexact Rounded
1903fmax31222 fma 1 1E15 -0.50000000000001 -> 999999999999999 Inexact Rounded
1904fmax31223 fma 1 1E15 -0.500000000000001 -> 999999999999999 Inexact Rounded
1905fmax31224 fma 1 1E15 -0.5000000000000001 -> 999999999999999 Inexact Rounded
1906fmax31225 fma 1 1E15 -0.5000000000000000 -> 1.00000000000000E+15 Inexact Rounded
1907fmax31230 fma 1 1E15 -5000000.000000001 -> 999999995000000 Inexact Rounded
1908
1909precision: 16
1910
1911fmax31300 fma 1 1E16 -0.5 -> 1.000000000000000E+16 Inexact Rounded
1912fmax31310 fma 1 1E16 -0.51 -> 9999999999999999 Inexact Rounded
1913fmax31311 fma 1 1E16 -0.501 -> 9999999999999999 Inexact Rounded
1914fmax31312 fma 1 1E16 -0.5001 -> 9999999999999999 Inexact Rounded
1915fmax31313 fma 1 1E16 -0.50001 -> 9999999999999999 Inexact Rounded
1916fmax31314 fma 1 1E16 -0.500001 -> 9999999999999999 Inexact Rounded
1917fmax31315 fma 1 1E16 -0.5000001 -> 9999999999999999 Inexact Rounded
1918fmax31316 fma 1 1E16 -0.50000001 -> 9999999999999999 Inexact Rounded
1919fmax31317 fma 1 1E16 -0.500000001 -> 9999999999999999 Inexact Rounded
1920fmax31318 fma 1 1E16 -0.5000000001 -> 9999999999999999 Inexact Rounded
1921fmax31319 fma 1 1E16 -0.50000000001 -> 9999999999999999 Inexact Rounded
1922fmax31320 fma 1 1E16 -0.500000000001 -> 9999999999999999 Inexact Rounded
1923fmax31321 fma 1 1E16 -0.5000000000001 -> 9999999999999999 Inexact Rounded
1924fmax31322 fma 1 1E16 -0.50000000000001 -> 9999999999999999 Inexact Rounded
1925fmax31323 fma 1 1E16 -0.500000000000001 -> 9999999999999999 Inexact Rounded
1926fmax31324 fma 1 1E16 -0.5000000000000001 -> 9999999999999999 Inexact Rounded
1927fmax31325 fma 1 1E16 -0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded
1928fmax31326 fma 1 1E16 -0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded
1929fmax31327 fma 1 1E16 -0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded
1930fmax31328 fma 1 1E16 -0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded
1931fmax31329 fma 1 1E16 -0.500000000000 -> 1.000000000000000E+16 Inexact Rounded
1932fmax31330 fma 1 1E16 -0.50000000000 -> 1.000000000000000E+16 Inexact Rounded
1933fmax31331 fma 1 1E16 -0.5000000000 -> 1.000000000000000E+16 Inexact Rounded
1934fmax31332 fma 1 1E16 -0.500000000 -> 1.000000000000000E+16 Inexact Rounded
1935fmax31333 fma 1 1E16 -0.50000000 -> 1.000000000000000E+16 Inexact Rounded
1936fmax31334 fma 1 1E16 -0.5000000 -> 1.000000000000000E+16 Inexact Rounded
1937fmax31335 fma 1 1E16 -0.500000 -> 1.000000000000000E+16 Inexact Rounded
1938fmax31336 fma 1 1E16 -0.50000 -> 1.000000000000000E+16 Inexact Rounded
1939fmax31337 fma 1 1E16 -0.5000 -> 1.000000000000000E+16 Inexact Rounded
1940fmax31338 fma 1 1E16 -0.500 -> 1.000000000000000E+16 Inexact Rounded
1941fmax31339 fma 1 1E16 -0.50 -> 1.000000000000000E+16 Inexact Rounded
1942
1943fmax31340 fma 1 1E16 -5000000.000010001 -> 9999999995000000 Inexact Rounded
1944fmax31341 fma 1 1E16 -5000000.000000001 -> 9999999995000000 Inexact Rounded
1945
1946fmax31349 fma 1 9999999999999999 0.4 -> 9999999999999999 Inexact Rounded
1947fmax31350 fma 1 9999999999999999 0.49 -> 9999999999999999 Inexact Rounded
1948fmax31351 fma 1 9999999999999999 0.499 -> 9999999999999999 Inexact Rounded
1949fmax31352 fma 1 9999999999999999 0.4999 -> 9999999999999999 Inexact Rounded
1950fmax31353 fma 1 9999999999999999 0.49999 -> 9999999999999999 Inexact Rounded
1951fmax31354 fma 1 9999999999999999 0.499999 -> 9999999999999999 Inexact Rounded
1952fmax31355 fma 1 9999999999999999 0.4999999 -> 9999999999999999 Inexact Rounded
1953fmax31356 fma 1 9999999999999999 0.49999999 -> 9999999999999999 Inexact Rounded
1954fmax31357 fma 1 9999999999999999 0.499999999 -> 9999999999999999 Inexact Rounded
1955fmax31358 fma 1 9999999999999999 0.4999999999 -> 9999999999999999 Inexact Rounded
1956fmax31359 fma 1 9999999999999999 0.49999999999 -> 9999999999999999 Inexact Rounded
1957fmax31360 fma 1 9999999999999999 0.499999999999 -> 9999999999999999 Inexact Rounded
1958fmax31361 fma 1 9999999999999999 0.4999999999999 -> 9999999999999999 Inexact Rounded
1959fmax31362 fma 1 9999999999999999 0.49999999999999 -> 9999999999999999 Inexact Rounded
1960fmax31363 fma 1 9999999999999999 0.499999999999999 -> 9999999999999999 Inexact Rounded
1961fmax31364 fma 1 9999999999999999 0.4999999999999999 -> 9999999999999999 Inexact Rounded
1962fmax31365 fma 1 9999999999999999 0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded
1963fmax31367 fma 1 9999999999999999 0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded
1964fmax31368 fma 1 9999999999999999 0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded
1965fmax31369 fma 1 9999999999999999 0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded
1966fmax31370 fma 1 9999999999999999 0.500000000000 -> 1.000000000000000E+16 Inexact Rounded
1967fmax31371 fma 1 9999999999999999 0.50000000000 -> 1.000000000000000E+16 Inexact Rounded
1968fmax31372 fma 1 9999999999999999 0.5000000000 -> 1.000000000000000E+16 Inexact Rounded
1969fmax31373 fma 1 9999999999999999 0.500000000 -> 1.000000000000000E+16 Inexact Rounded
1970fmax31374 fma 1 9999999999999999 0.50000000 -> 1.000000000000000E+16 Inexact Rounded
1971fmax31375 fma 1 9999999999999999 0.5000000 -> 1.000000000000000E+16 Inexact Rounded
1972fmax31376 fma 1 9999999999999999 0.500000 -> 1.000000000000000E+16 Inexact Rounded
1973fmax31377 fma 1 9999999999999999 0.50000 -> 1.000000000000000E+16 Inexact Rounded
1974fmax31378 fma 1 9999999999999999 0.5000 -> 1.000000000000000E+16 Inexact Rounded
1975fmax31379 fma 1 9999999999999999 0.500 -> 1.000000000000000E+16 Inexact Rounded
1976fmax31380 fma 1 9999999999999999 0.50 -> 1.000000000000000E+16 Inexact Rounded
1977fmax31381 fma 1 9999999999999999 0.5 -> 1.000000000000000E+16 Inexact Rounded
1978fmax31382 fma 1 9999999999999999 0.5000000000000001 -> 1.000000000000000E+16 Inexact Rounded
1979fmax31383 fma 1 9999999999999999 0.500000000000001 -> 1.000000000000000E+16 Inexact Rounded
1980fmax31384 fma 1 9999999999999999 0.50000000000001 -> 1.000000000000000E+16 Inexact Rounded
1981fmax31385 fma 1 9999999999999999 0.5000000000001 -> 1.000000000000000E+16 Inexact Rounded
1982fmax31386 fma 1 9999999999999999 0.500000000001 -> 1.000000000000000E+16 Inexact Rounded
1983fmax31387 fma 1 9999999999999999 0.50000000001 -> 1.000000000000000E+16 Inexact Rounded
1984fmax31388 fma 1 9999999999999999 0.5000000001 -> 1.000000000000000E+16 Inexact Rounded
1985fmax31389 fma 1 9999999999999999 0.500000001 -> 1.000000000000000E+16 Inexact Rounded
1986fmax31390 fma 1 9999999999999999 0.50000001 -> 1.000000000000000E+16 Inexact Rounded
1987fmax31391 fma 1 9999999999999999 0.5000001 -> 1.000000000000000E+16 Inexact Rounded
1988fmax31392 fma 1 9999999999999999 0.500001 -> 1.000000000000000E+16 Inexact Rounded
1989fmax31393 fma 1 9999999999999999 0.50001 -> 1.000000000000000E+16 Inexact Rounded
1990fmax31394 fma 1 9999999999999999 0.5001 -> 1.000000000000000E+16 Inexact Rounded
1991fmax31395 fma 1 9999999999999999 0.501 -> 1.000000000000000E+16 Inexact Rounded
1992fmax31396 fma 1 9999999999999999 0.51 -> 1.000000000000000E+16 Inexact Rounded
1993
1994-- More GD edge cases, where difference between the unadjusted
1995-- exponents is larger than the maximum precision and one side is 0
1996precision: 15
1997rounding: half_up
1998maxExponent: 384
1999minexponent: -383
2000
2001fmax31400 fma 1 0 1.23456789012345 -> 1.23456789012345
2002fmax31401 fma 1 0 1.23456789012345E-1 -> 0.123456789012345
2003fmax31402 fma 1 0 1.23456789012345E-2 -> 0.0123456789012345
2004fmax31403 fma 1 0 1.23456789012345E-3 -> 0.00123456789012345
2005fmax31404 fma 1 0 1.23456789012345E-4 -> 0.000123456789012345
2006fmax31405 fma 1 0 1.23456789012345E-5 -> 0.0000123456789012345
2007fmax31406 fma 1 0 1.23456789012345E-6 -> 0.00000123456789012345
2008fmax31407 fma 1 0 1.23456789012345E-7 -> 1.23456789012345E-7
2009fmax31408 fma 1 0 1.23456789012345E-8 -> 1.23456789012345E-8
2010fmax31409 fma 1 0 1.23456789012345E-9 -> 1.23456789012345E-9
2011fmax31410 fma 1 0 1.23456789012345E-10 -> 1.23456789012345E-10
2012fmax31411 fma 1 0 1.23456789012345E-11 -> 1.23456789012345E-11
2013fmax31412 fma 1 0 1.23456789012345E-12 -> 1.23456789012345E-12
2014fmax31413 fma 1 0 1.23456789012345E-13 -> 1.23456789012345E-13
2015fmax31414 fma 1 0 1.23456789012345E-14 -> 1.23456789012345E-14
2016fmax31415 fma 1 0 1.23456789012345E-15 -> 1.23456789012345E-15
2017fmax31416 fma 1 0 1.23456789012345E-16 -> 1.23456789012345E-16
2018fmax31417 fma 1 0 1.23456789012345E-17 -> 1.23456789012345E-17
2019fmax31418 fma 1 0 1.23456789012345E-18 -> 1.23456789012345E-18
2020fmax31419 fma 1 0 1.23456789012345E-19 -> 1.23456789012345E-19
2021
2022-- same, precision 16..
2023precision: 16
2024fmax31420 fma 1 0 1.123456789012345 -> 1.123456789012345
2025fmax31421 fma 1 0 1.123456789012345E-1 -> 0.1123456789012345
2026fmax31422 fma 1 0 1.123456789012345E-2 -> 0.01123456789012345
2027fmax31423 fma 1 0 1.123456789012345E-3 -> 0.001123456789012345
2028fmax31424 fma 1 0 1.123456789012345E-4 -> 0.0001123456789012345
2029fmax31425 fma 1 0 1.123456789012345E-5 -> 0.00001123456789012345
2030fmax31426 fma 1 0 1.123456789012345E-6 -> 0.000001123456789012345
2031fmax31427 fma 1 0 1.123456789012345E-7 -> 1.123456789012345E-7
2032fmax31428 fma 1 0 1.123456789012345E-8 -> 1.123456789012345E-8
2033fmax31429 fma 1 0 1.123456789012345E-9 -> 1.123456789012345E-9
2034fmax31430 fma 1 0 1.123456789012345E-10 -> 1.123456789012345E-10
2035fmax31431 fma 1 0 1.123456789012345E-11 -> 1.123456789012345E-11
2036fmax31432 fma 1 0 1.123456789012345E-12 -> 1.123456789012345E-12
2037fmax31433 fma 1 0 1.123456789012345E-13 -> 1.123456789012345E-13
2038fmax31434 fma 1 0 1.123456789012345E-14 -> 1.123456789012345E-14
2039fmax31435 fma 1 0 1.123456789012345E-15 -> 1.123456789012345E-15
2040fmax31436 fma 1 0 1.123456789012345E-16 -> 1.123456789012345E-16
2041fmax31437 fma 1 0 1.123456789012345E-17 -> 1.123456789012345E-17
2042fmax31438 fma 1 0 1.123456789012345E-18 -> 1.123456789012345E-18
2043fmax31439 fma 1 0 1.123456789012345E-19 -> 1.123456789012345E-19
2044
2045-- same, reversed 0
2046fmax31440 fma 1 1.123456789012345 0 -> 1.123456789012345
2047fmax31441 fma 1 1.123456789012345E-1 0 -> 0.1123456789012345
2048fmax31442 fma 1 1.123456789012345E-2 0 -> 0.01123456789012345
2049fmax31443 fma 1 1.123456789012345E-3 0 -> 0.001123456789012345
2050fmax31444 fma 1 1.123456789012345E-4 0 -> 0.0001123456789012345
2051fmax31445 fma 1 1.123456789012345E-5 0 -> 0.00001123456789012345
2052fmax31446 fma 1 1.123456789012345E-6 0 -> 0.000001123456789012345
2053fmax31447 fma 1 1.123456789012345E-7 0 -> 1.123456789012345E-7
2054fmax31448 fma 1 1.123456789012345E-8 0 -> 1.123456789012345E-8
2055fmax31449 fma 1 1.123456789012345E-9 0 -> 1.123456789012345E-9
2056fmax31450 fma 1 1.123456789012345E-10 0 -> 1.123456789012345E-10
2057fmax31451 fma 1 1.123456789012345E-11 0 -> 1.123456789012345E-11
2058fmax31452 fma 1 1.123456789012345E-12 0 -> 1.123456789012345E-12
2059fmax31453 fma 1 1.123456789012345E-13 0 -> 1.123456789012345E-13
2060fmax31454 fma 1 1.123456789012345E-14 0 -> 1.123456789012345E-14
2061fmax31455 fma 1 1.123456789012345E-15 0 -> 1.123456789012345E-15
2062fmax31456 fma 1 1.123456789012345E-16 0 -> 1.123456789012345E-16
2063fmax31457 fma 1 1.123456789012345E-17 0 -> 1.123456789012345E-17
2064fmax31458 fma 1 1.123456789012345E-18 0 -> 1.123456789012345E-18
2065fmax31459 fma 1 1.123456789012345E-19 0 -> 1.123456789012345E-19
2066
2067-- same, Es on the 0
2068fmax31460 fma 1 1.123456789012345 0E-0 -> 1.123456789012345
2069fmax31461 fma 1 1.123456789012345 0E-1 -> 1.123456789012345
2070fmax31462 fma 1 1.123456789012345 0E-2 -> 1.123456789012345
2071fmax31463 fma 1 1.123456789012345 0E-3 -> 1.123456789012345
2072fmax31464 fma 1 1.123456789012345 0E-4 -> 1.123456789012345
2073fmax31465 fma 1 1.123456789012345 0E-5 -> 1.123456789012345
2074fmax31466 fma 1 1.123456789012345 0E-6 -> 1.123456789012345
2075fmax31467 fma 1 1.123456789012345 0E-7 -> 1.123456789012345
2076fmax31468 fma 1 1.123456789012345 0E-8 -> 1.123456789012345
2077fmax31469 fma 1 1.123456789012345 0E-9 -> 1.123456789012345
2078fmax31470 fma 1 1.123456789012345 0E-10 -> 1.123456789012345
2079fmax31471 fma 1 1.123456789012345 0E-11 -> 1.123456789012345
2080fmax31472 fma 1 1.123456789012345 0E-12 -> 1.123456789012345
2081fmax31473 fma 1 1.123456789012345 0E-13 -> 1.123456789012345
2082fmax31474 fma 1 1.123456789012345 0E-14 -> 1.123456789012345
2083fmax31475 fma 1 1.123456789012345 0E-15 -> 1.123456789012345
2084-- next four flag Rounded because the 0 extends the result
2085fmax31476 fma 1 1.123456789012345 0E-16 -> 1.123456789012345 Rounded
2086fmax31477 fma 1 1.123456789012345 0E-17 -> 1.123456789012345 Rounded
2087fmax31478 fma 1 1.123456789012345 0E-18 -> 1.123456789012345 Rounded
2088fmax31479 fma 1 1.123456789012345 0E-19 -> 1.123456789012345 Rounded
2089
2090-- sum of two opposite-sign operands is exactly 0 and floor => -0
2091precision: 16
2092maxExponent: 384
2093minexponent: -383
2094
2095rounding: half_up
2096-- exact zeros from zeros
2097fmax31500 fma 1 0 0E-19 -> 0E-19
2098fmax31501 fma 1 -0 0E-19 -> 0E-19
2099fmax31502 fma 1 0 -0E-19 -> 0E-19
2100fmax31503 fma 1 -0 -0E-19 -> -0E-19
2101fmax31504 fma 1 0E-400 0E-19 -> 0E-398 Clamped
2102fmax31505 fma 1 -0E-400 0E-19 -> 0E-398 Clamped
2103fmax31506 fma 1 0E-400 -0E-19 -> 0E-398 Clamped
2104fmax31507 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped
2105-- inexact zeros
2106fmax31511 fma 1 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2107fmax31512 fma 1 -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2108fmax31513 fma 1 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2109fmax31514 fma 1 -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2110-- some exact zeros from non-zeros
2111fmax31515 fma 1 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2112fmax31516 fma 1 -1E-401 1E-401 -> 0E-398 Clamped
2113fmax31517 fma 1 1E-401 -1E-401 -> 0E-398 Clamped
2114fmax31518 fma 1 -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2115
2116rounding: half_down
2117-- exact zeros from zeros
2118fmax31520 fma 1 0 0E-19 -> 0E-19
2119fmax31521 fma 1 -0 0E-19 -> 0E-19
2120fmax31522 fma 1 0 -0E-19 -> 0E-19
2121fmax31523 fma 1 -0 -0E-19 -> -0E-19
2122fmax31524 fma 1 0E-400 0E-19 -> 0E-398 Clamped
2123fmax31525 fma 1 -0E-400 0E-19 -> 0E-398 Clamped
2124fmax31526 fma 1 0E-400 -0E-19 -> 0E-398 Clamped
2125fmax31527 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped
2126-- inexact zeros
2127fmax31531 fma 1 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2128fmax31532 fma 1 -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2129fmax31533 fma 1 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2130fmax31534 fma 1 -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2131-- some exact zeros from non-zeros
2132fmax31535 fma 1 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2133fmax31536 fma 1 -1E-401 1E-401 -> 0E-398 Clamped
2134fmax31537 fma 1 1E-401 -1E-401 -> 0E-398 Clamped
2135fmax31538 fma 1 -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2136
2137rounding: half_even
2138-- exact zeros from zeros
2139fmax31540 fma 1 0 0E-19 -> 0E-19
2140fmax31541 fma 1 -0 0E-19 -> 0E-19
2141fmax31542 fma 1 0 -0E-19 -> 0E-19
2142fmax31543 fma 1 -0 -0E-19 -> -0E-19
2143fmax31544 fma 1 0E-400 0E-19 -> 0E-398 Clamped
2144fmax31545 fma 1 -0E-400 0E-19 -> 0E-398 Clamped
2145fmax31546 fma 1 0E-400 -0E-19 -> 0E-398 Clamped
2146fmax31547 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped
2147-- inexact zeros
2148fmax31551 fma 1 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2149fmax31552 fma 1 -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2150fmax31553 fma 1 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2151fmax31554 fma 1 -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2152-- some exact zeros from non-zeros
2153fmax31555 fma 1 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2154fmax31556 fma 1 -1E-401 1E-401 -> 0E-398 Clamped
2155fmax31557 fma 1 1E-401 -1E-401 -> 0E-398 Clamped
2156fmax31558 fma 1 -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2157
2158rounding: up
2159-- exact zeros from zeros
2160fmax31560 fma 1 0 0E-19 -> 0E-19
2161fmax31561 fma 1 -0 0E-19 -> 0E-19
2162fmax31562 fma 1 0 -0E-19 -> 0E-19
2163fmax31563 fma 1 -0 -0E-19 -> -0E-19
2164fmax31564 fma 1 0E-400 0E-19 -> 0E-398 Clamped
2165fmax31565 fma 1 -0E-400 0E-19 -> 0E-398 Clamped
2166fmax31566 fma 1 0E-400 -0E-19 -> 0E-398 Clamped
2167fmax31567 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped
2168-- inexact zeros
2169fmax31571 fma 1 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
2170fmax31572 fma 1 -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
2171fmax31573 fma 1 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
2172fmax31574 fma 1 -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
2173-- some exact zeros from non-zeros
2174fmax31575 fma 1 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow
2175fmax31576 fma 1 -1E-401 1E-401 -> 0E-398 Clamped
2176fmax31577 fma 1 1E-401 -1E-401 -> 0E-398 Clamped
2177fmax31578 fma 1 -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow
2178
2179rounding: down
2180-- exact zeros from zeros
2181fmax31580 fma 1 0 0E-19 -> 0E-19
2182fmax31581 fma 1 -0 0E-19 -> 0E-19
2183fmax31582 fma 1 0 -0E-19 -> 0E-19
2184fmax31583 fma 1 -0 -0E-19 -> -0E-19
2185fmax31584 fma 1 0E-400 0E-19 -> 0E-398 Clamped
2186fmax31585 fma 1 -0E-400 0E-19 -> 0E-398 Clamped
2187fmax31586 fma 1 0E-400 -0E-19 -> 0E-398 Clamped
2188fmax31587 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped
2189-- inexact zeros
2190fmax31591 fma 1 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2191fmax31592 fma 1 -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2192fmax31593 fma 1 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2193fmax31594 fma 1 -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2194-- some exact zeros from non-zeros
2195fmax31595 fma 1 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2196fmax31596 fma 1 -1E-401 1E-401 -> 0E-398 Clamped
2197fmax31597 fma 1 1E-401 -1E-401 -> 0E-398 Clamped
2198fmax31598 fma 1 -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2199
2200rounding: ceiling
2201-- exact zeros from zeros
2202fmax31600 fma 1 0 0E-19 -> 0E-19
2203fmax31601 fma 1 -0 0E-19 -> 0E-19
2204fmax31602 fma 1 0 -0E-19 -> 0E-19
2205fmax31603 fma 1 -0 -0E-19 -> -0E-19
2206fmax31604 fma 1 0E-400 0E-19 -> 0E-398 Clamped
2207fmax31605 fma 1 -0E-400 0E-19 -> 0E-398 Clamped
2208fmax31606 fma 1 0E-400 -0E-19 -> 0E-398 Clamped
2209fmax31607 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped
2210-- inexact zeros
2211fmax31611 fma 1 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
2212fmax31612 fma 1 -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
2213fmax31613 fma 1 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2214fmax31614 fma 1 -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2215-- some exact zeros from non-zeros
2216fmax31615 fma 1 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow
2217fmax31616 fma 1 -1E-401 1E-401 -> 0E-398 Clamped
2218fmax31617 fma 1 1E-401 -1E-401 -> 0E-398 Clamped
2219fmax31618 fma 1 -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2220
2221-- and the extra-special ugly case; unusual minuses marked by -- *
2222rounding: floor
2223-- exact zeros from zeros
2224fmax31620 fma 1 0 0E-19 -> 0E-19
2225fmax31621 fma 1 -0 0E-19 -> -0E-19 -- *
2226fmax31622 fma 1 0 -0E-19 -> -0E-19 -- *
2227fmax31623 fma 1 -0 -0E-19 -> -0E-19
2228fmax31624 fma 1 0E-400 0E-19 -> 0E-398 Clamped
2229fmax31625 fma 1 -0E-400 0E-19 -> -0E-398 Clamped -- *
2230fmax31626 fma 1 0E-400 -0E-19 -> -0E-398 Clamped -- *
2231fmax31627 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped
2232-- inexact zeros
2233fmax31631 fma 1 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2234fmax31632 fma 1 -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2235fmax31633 fma 1 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
2236fmax31634 fma 1 -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
2237-- some exact zeros from non-zeros
2238fmax31635 fma 1 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2239fmax31636 fma 1 -1E-401 1E-401 -> -0E-398 Clamped -- *
2240fmax31637 fma 1 1E-401 -1E-401 -> -0E-398 Clamped -- *
2241fmax31638 fma 1 -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow
2242
2243-- BigDecimal problem testcases 2006.01.23
2244precision: 16
2245maxExponent: 384
2246minexponent: -383
2247
2248rounding: down
2249precision: 7
2250fmax31651 fma 1 10001E+2 -2E+1 -> 1.00008E+6
2251precision: 6
2252fmax31652 fma 1 10001E+2 -2E+1 -> 1.00008E+6
2253precision: 5
2254fmax31653 fma 1 10001E+2 -2E+1 -> 1.0000E+6 Inexact Rounded
2255precision: 4
2256fmax31654 fma 1 10001E+2 -2E+1 -> 1.000E+6 Inexact Rounded
2257precision: 3
2258fmax31655 fma 1 10001E+2 -2E+1 -> 1.00E+6 Inexact Rounded
2259precision: 2
2260fmax31656 fma 1 10001E+2 -2E+1 -> 1.0E+6 Inexact Rounded
2261precision: 1
2262fmax31657 fma 1 10001E+2 -2E+1 -> 1E+6 Inexact Rounded
2263
2264rounding: half_even
2265precision: 7
2266fmax31661 fma 1 10001E+2 -2E+1 -> 1.00008E+6
2267precision: 6
2268fmax31662 fma 1 10001E+2 -2E+1 -> 1.00008E+6
2269precision: 5
2270fmax31663 fma 1 10001E+2 -2E+1 -> 1.0001E+6 Inexact Rounded
2271precision: 4
2272fmax31664 fma 1 10001E+2 -2E+1 -> 1.000E+6 Inexact Rounded
2273precision: 3
2274fmax31665 fma 1 10001E+2 -2E+1 -> 1.00E+6 Inexact Rounded
2275precision: 2
2276fmax31666 fma 1 10001E+2 -2E+1 -> 1.0E+6 Inexact Rounded
2277precision: 1
2278fmax31667 fma 1 10001E+2 -2E+1 -> 1E+6 Inexact Rounded
2279
2280rounding: up
2281precision: 7
2282fmax31671 fma 1 10001E+2 -2E+1 -> 1.00008E+6
2283precision: 6
2284fmax31672 fma 1 10001E+2 -2E+1 -> 1.00008E+6
2285precision: 5
2286fmax31673 fma 1 10001E+2 -2E+1 -> 1.0001E+6 Inexact Rounded
2287precision: 4
2288fmax31674 fma 1 10001E+2 -2E+1 -> 1.001E+6 Inexact Rounded
2289precision: 3
2290fmax31675 fma 1 10001E+2 -2E+1 -> 1.01E+6 Inexact Rounded
2291precision: 2
2292fmax31676 fma 1 10001E+2 -2E+1 -> 1.1E+6 Inexact Rounded
2293precision: 1
2294fmax31677 fma 1 10001E+2 -2E+1 -> 2E+6 Inexact Rounded
2295
2296precision: 34
2297rounding: half_up
2298maxExponent: 6144
2299minExponent: -6143
2300-- Examples from SQL proposal (Krishna Kulkarni)
2301fmax31701 fma 1 130E-2 120E-2 -> 2.50
2302fmax31702 fma 1 130E-2 12E-1 -> 2.50
2303fmax31703 fma 1 130E-2 1E0 -> 2.30
2304fmax31704 fma 1 1E2 1E4 -> 1.01E+4
2305fmax31705 subtract 130E-2 120E-2 -> 0.10
2306fmax31706 subtract 130E-2 12E-1 -> 0.10
2307fmax31707 subtract 130E-2 1E0 -> 0.30
2308fmax31708 subtract 1E2 1E4 -> -9.9E+3
2309
2310------------------------------------------------------------------------
2311-- Same as above, using decimal64 default parameters --
2312------------------------------------------------------------------------
2313precision: 16
2314rounding: half_even
2315maxExponent: 384
2316minexponent: -383
2317
2318-- [first group are 'quick confidence check']
2319fmax36001 fma 1 1 1 -> 2
2320fmax36002 fma 1 2 3 -> 5
2321fmax36003 fma 1 '5.75' '3.3' -> 9.05
2322fmax36004 fma 1 '5' '-3' -> 2
2323fmax36005 fma 1 '-5' '-3' -> -8
2324fmax36006 fma 1 '-7' '2.5' -> -4.5
2325fmax36007 fma 1 '0.7' '0.3' -> 1.0
2326fmax36008 fma 1 '1.25' '1.25' -> 2.50
2327fmax36009 fma 1 '1.23456789' '1.00000000' -> '2.23456789'
2328fmax36010 fma 1 '1.23456789' '1.00000011' -> '2.23456800'
2329
2330fmax36011 fma 1 '0.44444444444444444' '0.55555555555555555' -> '1.000000000000000' Inexact Rounded
2331fmax36012 fma 1 '0.44444444444444440' '0.55555555555555555' -> '1.000000000000000' Inexact Rounded
2332fmax36013 fma 1 '0.44444444444444444' '0.55555555555555550' -> '0.9999999999999999' Inexact Rounded
2333fmax36014 fma 1 '0.444444444444444449' '0' -> '0.4444444444444444' Inexact Rounded
2334fmax36015 fma 1 '0.4444444444444444499' '0' -> '0.4444444444444444' Inexact Rounded
2335fmax36016 fma 1 '0.44444444444444444999' '0' -> '0.4444444444444444' Inexact Rounded
2336fmax36017 fma 1 '0.44444444444444445000' '0' -> '0.4444444444444444' Inexact Rounded
2337fmax36018 fma 1 '0.44444444444444445001' '0' -> '0.4444444444444445' Inexact Rounded
2338fmax36019 fma 1 '0.4444444444444444501' '0' -> '0.4444444444444445' Inexact Rounded
2339fmax36020 fma 1 '0.444444444444444451' '0' -> '0.4444444444444445' Inexact Rounded
2340
2341fmax36021 fma 1 0 1 -> 1
2342fmax36022 fma 1 1 1 -> 2
2343fmax36023 fma 1 2 1 -> 3
2344fmax36024 fma 1 3 1 -> 4
2345fmax36025 fma 1 4 1 -> 5
2346fmax36026 fma 1 5 1 -> 6
2347fmax36027 fma 1 6 1 -> 7
2348fmax36028 fma 1 7 1 -> 8
2349fmax36029 fma 1 8 1 -> 9
2350fmax36030 fma 1 9 1 -> 10
2351
2352-- some carrying effects
2353fmax36031 fma 1 '0.9998' '0.0000' -> '0.9998'
2354fmax36032 fma 1 '0.9998' '0.0001' -> '0.9999'
2355fmax36033 fma 1 '0.9998' '0.0002' -> '1.0000'
2356fmax36034 fma 1 '0.9998' '0.0003' -> '1.0001'
2357
2358fmax36035 fma 1 '70' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded
2359fmax36036 fma 1 '700' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded
2360fmax36037 fma 1 '7000' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded
2361fmax36038 fma 1 '70000' '10000e+16' -> '1.000000000000001E+20' Inexact Rounded
2362fmax36039 fma 1 '700000' '10000e+16' -> '1.000000000000007E+20' Rounded
2363
2364-- symmetry:
2365fmax36040 fma 1 '10000e+16' '70' -> '1.000000000000000E+20' Inexact Rounded
2366fmax36041 fma 1 '10000e+16' '700' -> '1.000000000000000E+20' Inexact Rounded
2367fmax36042 fma 1 '10000e+16' '7000' -> '1.000000000000000E+20' Inexact Rounded
2368fmax36044 fma 1 '10000e+16' '70000' -> '1.000000000000001E+20' Inexact Rounded
2369fmax36045 fma 1 '10000e+16' '700000' -> '1.000000000000007E+20' Rounded
2370
2371fmax36046 fma 1 '10000e+9' '7' -> '10000000000007'
2372fmax36047 fma 1 '10000e+9' '70' -> '10000000000070'
2373fmax36048 fma 1 '10000e+9' '700' -> '10000000000700'
2374fmax36049 fma 1 '10000e+9' '7000' -> '10000000007000'
2375fmax36050 fma 1 '10000e+9' '70000' -> '10000000070000'
2376fmax36051 fma 1 '10000e+9' '700000' -> '10000000700000'
2377
2378-- examples from decarith
2379fmax36053 fma 1 '12' '7.00' -> '19.00'
2380fmax36054 fma 1 '1.3' '-1.07' -> '0.23'
2381fmax36055 fma 1 '1.3' '-1.30' -> '0.00'
2382fmax36056 fma 1 '1.3' '-2.07' -> '-0.77'
2383fmax36057 fma 1 '1E+2' '1E+4' -> '1.01E+4'
2384
2385-- from above
2386fmax36061 fma 1 1 '0.1' -> '1.1'
2387fmax36062 fma 1 1 '0.01' -> '1.01'
2388fmax36063 fma 1 1 '0.001' -> '1.001'
2389fmax36064 fma 1 1 '0.0001' -> '1.0001'
2390fmax36065 fma 1 1 '0.00001' -> '1.00001'
2391fmax36066 fma 1 1 '0.000001' -> '1.000001'
2392fmax36067 fma 1 1 '0.0000001' -> '1.0000001'
2393fmax36068 fma 1 1 '0.00000001' -> '1.00000001'
2394
2395-- some funny zeros [in case of bad signum]
2396fmax36070 fma 1 1 0 -> 1
2397fmax36071 fma 1 1 0. -> 1
2398fmax36072 fma 1 1 .0 -> 1.0
2399fmax36073 fma 1 1 0.0 -> 1.0
2400fmax36074 fma 1 1 0.00 -> 1.00
2401fmax36075 fma 1 0 1 -> 1
2402fmax36076 fma 1 0. 1 -> 1
2403fmax36077 fma 1 .0 1 -> 1.0
2404fmax36078 fma 1 0.0 1 -> 1.0
2405fmax36079 fma 1 0.00 1 -> 1.00
2406
2407-- some carries
2408fmax36080 fma 1 9999999999999998 1 -> 9999999999999999
2409fmax36081 fma 1 9999999999999999 1 -> 1.000000000000000E+16 Rounded
2410fmax36082 fma 1 999999999999999 1 -> 1000000000000000
2411fmax36083 fma 1 9999999999999 1 -> 10000000000000
2412fmax36084 fma 1 99999999999 1 -> 100000000000
2413fmax36085 fma 1 999999999 1 -> 1000000000
2414fmax36086 fma 1 9999999 1 -> 10000000
2415fmax36087 fma 1 99999 1 -> 100000
2416fmax36088 fma 1 999 1 -> 1000
2417fmax36089 fma 1 9 1 -> 10
2418
2419
2420-- more LHS swaps
2421fmax36090 fma 1 '-56267E-10' 0 -> '-0.0000056267'
2422fmax36091 fma 1 '-56267E-6' 0 -> '-0.056267'
2423fmax36092 fma 1 '-56267E-5' 0 -> '-0.56267'
2424fmax36093 fma 1 '-56267E-4' 0 -> '-5.6267'
2425fmax36094 fma 1 '-56267E-3' 0 -> '-56.267'
2426fmax36095 fma 1 '-56267E-2' 0 -> '-562.67'
2427fmax36096 fma 1 '-56267E-1' 0 -> '-5626.7'
2428fmax36097 fma 1 '-56267E-0' 0 -> '-56267'
2429fmax36098 fma 1 '-5E-10' 0 -> '-5E-10'
2430fmax36099 fma 1 '-5E-7' 0 -> '-5E-7'
2431fmax36100 fma 1 '-5E-6' 0 -> '-0.000005'
2432fmax36101 fma 1 '-5E-5' 0 -> '-0.00005'
2433fmax36102 fma 1 '-5E-4' 0 -> '-0.0005'
2434fmax36103 fma 1 '-5E-1' 0 -> '-0.5'
2435fmax36104 fma 1 '-5E0' 0 -> '-5'
2436fmax36105 fma 1 '-5E1' 0 -> '-50'
2437fmax36106 fma 1 '-5E5' 0 -> '-500000'
2438fmax36107 fma 1 '-5E15' 0 -> '-5000000000000000'
2439fmax36108 fma 1 '-5E16' 0 -> '-5.000000000000000E+16' Rounded
2440fmax36109 fma 1 '-5E17' 0 -> '-5.000000000000000E+17' Rounded
2441fmax36110 fma 1 '-5E18' 0 -> '-5.000000000000000E+18' Rounded
2442fmax36111 fma 1 '-5E100' 0 -> '-5.000000000000000E+100' Rounded
2443
2444-- more RHS swaps
2445fmax36113 fma 1 0 '-56267E-10' -> '-0.0000056267'
2446fmax36114 fma 1 0 '-56267E-6' -> '-0.056267'
2447fmax36116 fma 1 0 '-56267E-5' -> '-0.56267'
2448fmax36117 fma 1 0 '-56267E-4' -> '-5.6267'
2449fmax36119 fma 1 0 '-56267E-3' -> '-56.267'
2450fmax36120 fma 1 0 '-56267E-2' -> '-562.67'
2451fmax36121 fma 1 0 '-56267E-1' -> '-5626.7'
2452fmax36122 fma 1 0 '-56267E-0' -> '-56267'
2453fmax36123 fma 1 0 '-5E-10' -> '-5E-10'
2454fmax36124 fma 1 0 '-5E-7' -> '-5E-7'
2455fmax36125 fma 1 0 '-5E-6' -> '-0.000005'
2456fmax36126 fma 1 0 '-5E-5' -> '-0.00005'
2457fmax36127 fma 1 0 '-5E-4' -> '-0.0005'
2458fmax36128 fma 1 0 '-5E-1' -> '-0.5'
2459fmax36129 fma 1 0 '-5E0' -> '-5'
2460fmax36130 fma 1 0 '-5E1' -> '-50'
2461fmax36131 fma 1 0 '-5E5' -> '-500000'
2462fmax36132 fma 1 0 '-5E15' -> '-5000000000000000'
2463fmax36133 fma 1 0 '-5E16' -> '-5.000000000000000E+16' Rounded
2464fmax36134 fma 1 0 '-5E17' -> '-5.000000000000000E+17' Rounded
2465fmax36135 fma 1 0 '-5E18' -> '-5.000000000000000E+18' Rounded
2466fmax36136 fma 1 0 '-5E100' -> '-5.000000000000000E+100' Rounded
2467
2468-- related
2469fmax36137 fma 1 1 '0E-19' -> '1.000000000000000' Rounded
2470fmax36138 fma 1 -1 '0E-19' -> '-1.000000000000000' Rounded
2471fmax36139 fma 1 '0E-19' 1 -> '1.000000000000000' Rounded
2472fmax36140 fma 1 '0E-19' -1 -> '-1.000000000000000' Rounded
2473fmax36141 fma 1 1E+11 0.0000 -> '100000000000.0000'
2474fmax36142 fma 1 1E+11 0.00000 -> '100000000000.0000' Rounded
2475fmax36143 fma 1 0.000 1E+12 -> '1000000000000.000'
2476fmax36144 fma 1 0.0000 1E+12 -> '1000000000000.000' Rounded
2477
2478-- [some of the next group are really constructor tests]
2479fmax36146 fma 1 '00.0' 0 -> '0.0'
2480fmax36147 fma 1 '0.00' 0 -> '0.00'
2481fmax36148 fma 1 0 '0.00' -> '0.00'
2482fmax36149 fma 1 0 '00.0' -> '0.0'
2483fmax36150 fma 1 '00.0' '0.00' -> '0.00'
2484fmax36151 fma 1 '0.00' '00.0' -> '0.00'
2485fmax36152 fma 1 '3' '.3' -> '3.3'
2486fmax36153 fma 1 '3.' '.3' -> '3.3'
2487fmax36154 fma 1 '3.0' '.3' -> '3.3'
2488fmax36155 fma 1 '3.00' '.3' -> '3.30'
2489fmax36156 fma 1 '3' '3' -> '6'
2490fmax36157 fma 1 '3' '+3' -> '6'
2491fmax36158 fma 1 '3' '-3' -> '0'
2492fmax36159 fma 1 '0.3' '-0.3' -> '0.0'
2493fmax36160 fma 1 '0.03' '-0.03' -> '0.00'
2494
2495-- try borderline precision, with carries, etc.
2496fmax36161 fma 1 '1E+13' '-1' -> '9999999999999'
2497fmax36162 fma 1 '1E+13' '1.11' -> '10000000000001.11'
2498fmax36163 fma 1 '1.11' '1E+13' -> '10000000000001.11'
2499fmax36164 fma 1 '-1' '1E+13' -> '9999999999999'
2500fmax36165 fma 1 '7E+13' '-1' -> '69999999999999'
2501fmax36166 fma 1 '7E+13' '1.11' -> '70000000000001.11'
2502fmax36167 fma 1 '1.11' '7E+13' -> '70000000000001.11'
2503fmax36168 fma 1 '-1' '7E+13' -> '69999999999999'
2504
2505-- 1234567890123456 1234567890123456 1 234567890123456
2506fmax36170 fma 1 '0.4444444444444444' '0.5555555555555563' -> '1.000000000000001' Inexact Rounded
2507fmax36171 fma 1 '0.4444444444444444' '0.5555555555555562' -> '1.000000000000001' Inexact Rounded
2508fmax36172 fma 1 '0.4444444444444444' '0.5555555555555561' -> '1.000000000000000' Inexact Rounded
2509fmax36173 fma 1 '0.4444444444444444' '0.5555555555555560' -> '1.000000000000000' Inexact Rounded
2510fmax36174 fma 1 '0.4444444444444444' '0.5555555555555559' -> '1.000000000000000' Inexact Rounded
2511fmax36175 fma 1 '0.4444444444444444' '0.5555555555555558' -> '1.000000000000000' Inexact Rounded
2512fmax36176 fma 1 '0.4444444444444444' '0.5555555555555557' -> '1.000000000000000' Inexact Rounded
2513fmax36177 fma 1 '0.4444444444444444' '0.5555555555555556' -> '1.000000000000000' Rounded
2514fmax36178 fma 1 '0.4444444444444444' '0.5555555555555555' -> '0.9999999999999999'
2515fmax36179 fma 1 '0.4444444444444444' '0.5555555555555554' -> '0.9999999999999998'
2516fmax36180 fma 1 '0.4444444444444444' '0.5555555555555553' -> '0.9999999999999997'
2517fmax36181 fma 1 '0.4444444444444444' '0.5555555555555552' -> '0.9999999999999996'
2518fmax36182 fma 1 '0.4444444444444444' '0.5555555555555551' -> '0.9999999999999995'
2519fmax36183 fma 1 '0.4444444444444444' '0.5555555555555550' -> '0.9999999999999994'
2520
2521-- and some more, including residue effects and different roundings
2522rounding: half_up
2523fmax36200 fma 1 '6543210123456789' 0 -> '6543210123456789'
2524fmax36201 fma 1 '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded
2525fmax36202 fma 1 '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded
2526fmax36203 fma 1 '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded
2527fmax36204 fma 1 '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded
2528fmax36205 fma 1 '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded
2529fmax36206 fma 1 '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded
2530fmax36207 fma 1 '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded
2531fmax36208 fma 1 '6543210123456789' 0.5 -> '6543210123456790' Inexact Rounded
2532fmax36209 fma 1 '6543210123456789' 0.500000001 -> '6543210123456790' Inexact Rounded
2533fmax36210 fma 1 '6543210123456789' 0.500001 -> '6543210123456790' Inexact Rounded
2534fmax36211 fma 1 '6543210123456789' 0.51 -> '6543210123456790' Inexact Rounded
2535fmax36212 fma 1 '6543210123456789' 0.6 -> '6543210123456790' Inexact Rounded
2536fmax36213 fma 1 '6543210123456789' 0.9 -> '6543210123456790' Inexact Rounded
2537fmax36214 fma 1 '6543210123456789' 0.99999 -> '6543210123456790' Inexact Rounded
2538fmax36215 fma 1 '6543210123456789' 0.999999 -> '6543210123456790' Inexact Rounded
2539fmax36216 fma 1 '6543210123456789' 1 -> '6543210123456790'
2540fmax36217 fma 1 '6543210123456789' 1.000000001 -> '6543210123456790' Inexact Rounded
2541fmax36218 fma 1 '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded
2542fmax36219 fma 1 '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded
2543
2544rounding: half_even
2545fmax36220 fma 1 '6543210123456789' 0 -> '6543210123456789'
2546fmax36221 fma 1 '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded
2547fmax36222 fma 1 '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded
2548fmax36223 fma 1 '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded
2549fmax36224 fma 1 '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded
2550fmax36225 fma 1 '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded
2551fmax36226 fma 1 '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded
2552fmax36227 fma 1 '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded
2553fmax36228 fma 1 '6543210123456789' 0.5 -> '6543210123456790' Inexact Rounded
2554fmax36229 fma 1 '6543210123456789' 0.500000001 -> '6543210123456790' Inexact Rounded
2555fmax36230 fma 1 '6543210123456789' 0.500001 -> '6543210123456790' Inexact Rounded
2556fmax36231 fma 1 '6543210123456789' 0.51 -> '6543210123456790' Inexact Rounded
2557fmax36232 fma 1 '6543210123456789' 0.6 -> '6543210123456790' Inexact Rounded
2558fmax36233 fma 1 '6543210123456789' 0.9 -> '6543210123456790' Inexact Rounded
2559fmax36234 fma 1 '6543210123456789' 0.99999 -> '6543210123456790' Inexact Rounded
2560fmax36235 fma 1 '6543210123456789' 0.999999 -> '6543210123456790' Inexact Rounded
2561fmax36236 fma 1 '6543210123456789' 1 -> '6543210123456790'
2562fmax36237 fma 1 '6543210123456789' 1.00000001 -> '6543210123456790' Inexact Rounded
2563fmax36238 fma 1 '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded
2564fmax36239 fma 1 '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded
2565-- critical few with even bottom digit...
2566fmax36240 fma 1 '6543210123456788' 0.499999 -> '6543210123456788' Inexact Rounded
2567fmax36241 fma 1 '6543210123456788' 0.5 -> '6543210123456788' Inexact Rounded
2568fmax36242 fma 1 '6543210123456788' 0.500000001 -> '6543210123456789' Inexact Rounded
2569
2570rounding: down
2571fmax36250 fma 1 '6543210123456789' 0 -> '6543210123456789'
2572fmax36251 fma 1 '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded
2573fmax36252 fma 1 '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded
2574fmax36253 fma 1 '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded
2575fmax36254 fma 1 '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded
2576fmax36255 fma 1 '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded
2577fmax36256 fma 1 '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded
2578fmax36257 fma 1 '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded
2579fmax36258 fma 1 '6543210123456789' 0.5 -> '6543210123456789' Inexact Rounded
2580fmax36259 fma 1 '6543210123456789' 0.500000001 -> '6543210123456789' Inexact Rounded
2581fmax36260 fma 1 '6543210123456789' 0.500001 -> '6543210123456789' Inexact Rounded
2582fmax36261 fma 1 '6543210123456789' 0.51 -> '6543210123456789' Inexact Rounded
2583fmax36262 fma 1 '6543210123456789' 0.6 -> '6543210123456789' Inexact Rounded
2584fmax36263 fma 1 '6543210123456789' 0.9 -> '6543210123456789' Inexact Rounded
2585fmax36264 fma 1 '6543210123456789' 0.99999 -> '6543210123456789' Inexact Rounded
2586fmax36265 fma 1 '6543210123456789' 0.999999 -> '6543210123456789' Inexact Rounded
2587fmax36266 fma 1 '6543210123456789' 1 -> '6543210123456790'
2588fmax36267 fma 1 '6543210123456789' 1.00000001 -> '6543210123456790' Inexact Rounded
2589fmax36268 fma 1 '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded
2590fmax36269 fma 1 '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded
2591
2592-- 1 in last place tests
2593rounding: half_even
2594fmax36301 fma 1 -1 1 -> 0
2595fmax36302 fma 1 0 1 -> 1
2596fmax36303 fma 1 1 1 -> 2
2597fmax36304 fma 1 12 1 -> 13
2598fmax36305 fma 1 98 1 -> 99
2599fmax36306 fma 1 99 1 -> 100
2600fmax36307 fma 1 100 1 -> 101
2601fmax36308 fma 1 101 1 -> 102
2602fmax36309 fma 1 -1 -1 -> -2
2603fmax36310 fma 1 0 -1 -> -1
2604fmax36311 fma 1 1 -1 -> 0
2605fmax36312 fma 1 12 -1 -> 11
2606fmax36313 fma 1 98 -1 -> 97
2607fmax36314 fma 1 99 -1 -> 98
2608fmax36315 fma 1 100 -1 -> 99
2609fmax36316 fma 1 101 -1 -> 100
2610
2611fmax36321 fma 1 -0.01 0.01 -> 0.00
2612fmax36322 fma 1 0.00 0.01 -> 0.01
2613fmax36323 fma 1 0.01 0.01 -> 0.02
2614fmax36324 fma 1 0.12 0.01 -> 0.13
2615fmax36325 fma 1 0.98 0.01 -> 0.99
2616fmax36326 fma 1 0.99 0.01 -> 1.00
2617fmax36327 fma 1 1.00 0.01 -> 1.01
2618fmax36328 fma 1 1.01 0.01 -> 1.02
2619fmax36329 fma 1 -0.01 -0.01 -> -0.02
2620fmax36330 fma 1 0.00 -0.01 -> -0.01
2621fmax36331 fma 1 0.01 -0.01 -> 0.00
2622fmax36332 fma 1 0.12 -0.01 -> 0.11
2623fmax36333 fma 1 0.98 -0.01 -> 0.97
2624fmax36334 fma 1 0.99 -0.01 -> 0.98
2625fmax36335 fma 1 1.00 -0.01 -> 0.99
2626fmax36336 fma 1 1.01 -0.01 -> 1.00
2627
2628-- some more cases where fma 1 ing 0 affects the coefficient
2629fmax36340 fma 1 1E+3 0 -> 1000
2630fmax36341 fma 1 1E+15 0 -> 1000000000000000
2631fmax36342 fma 1 1E+16 0 -> 1.000000000000000E+16 Rounded
2632fmax36343 fma 1 1E+17 0 -> 1.000000000000000E+17 Rounded
2633-- which simply follow from these cases ...
2634fmax36344 fma 1 1E+3 1 -> 1001
2635fmax36345 fma 1 1E+15 1 -> 1000000000000001
2636fmax36346 fma 1 1E+16 1 -> 1.000000000000000E+16 Inexact Rounded
2637fmax36347 fma 1 1E+17 1 -> 1.000000000000000E+17 Inexact Rounded
2638fmax36348 fma 1 1E+3 7 -> 1007
2639fmax36349 fma 1 1E+15 7 -> 1000000000000007
2640fmax36350 fma 1 1E+16 7 -> 1.000000000000001E+16 Inexact Rounded
2641fmax36351 fma 1 1E+17 7 -> 1.000000000000000E+17 Inexact Rounded
2642
2643-- tryzeros cases
2644fmax36361 fma 1 0E+50 10000E+1 -> 1.0000E+5
2645fmax36362 fma 1 10000E+1 0E-50 -> 100000.0000000000 Rounded
2646fmax36363 fma 1 10000E+1 10000E-50 -> 100000.0000000000 Rounded Inexact
2647fmax36364 fma 1 12.34 0e-398 -> 12.34000000000000 Rounded
2648
2649-- ulp replacement tests
2650fmax36400 fma 1 1 77e-14 -> 1.00000000000077
2651fmax36401 fma 1 1 77e-15 -> 1.000000000000077
2652fmax36402 fma 1 1 77e-16 -> 1.000000000000008 Inexact Rounded
2653fmax36403 fma 1 1 77e-17 -> 1.000000000000001 Inexact Rounded
2654fmax36404 fma 1 1 77e-18 -> 1.000000000000000 Inexact Rounded
2655fmax36405 fma 1 1 77e-19 -> 1.000000000000000 Inexact Rounded
2656fmax36406 fma 1 1 77e-99 -> 1.000000000000000 Inexact Rounded
2657
2658fmax36410 fma 1 10 77e-14 -> 10.00000000000077
2659fmax36411 fma 1 10 77e-15 -> 10.00000000000008 Inexact Rounded
2660fmax36412 fma 1 10 77e-16 -> 10.00000000000001 Inexact Rounded
2661fmax36413 fma 1 10 77e-17 -> 10.00000000000000 Inexact Rounded
2662fmax36414 fma 1 10 77e-18 -> 10.00000000000000 Inexact Rounded
2663fmax36415 fma 1 10 77e-19 -> 10.00000000000000 Inexact Rounded
2664fmax36416 fma 1 10 77e-99 -> 10.00000000000000 Inexact Rounded
2665
2666fmax36420 fma 1 77e-14 1 -> 1.00000000000077
2667fmax36421 fma 1 77e-15 1 -> 1.000000000000077
2668fmax36422 fma 1 77e-16 1 -> 1.000000000000008 Inexact Rounded
2669fmax36423 fma 1 77e-17 1 -> 1.000000000000001 Inexact Rounded
2670fmax36424 fma 1 77e-18 1 -> 1.000000000000000 Inexact Rounded
2671fmax36425 fma 1 77e-19 1 -> 1.000000000000000 Inexact Rounded
2672fmax36426 fma 1 77e-99 1 -> 1.000000000000000 Inexact Rounded
2673
2674fmax36430 fma 1 77e-14 10 -> 10.00000000000077
2675fmax36431 fma 1 77e-15 10 -> 10.00000000000008 Inexact Rounded
2676fmax36432 fma 1 77e-16 10 -> 10.00000000000001 Inexact Rounded
2677fmax36433 fma 1 77e-17 10 -> 10.00000000000000 Inexact Rounded
2678fmax36434 fma 1 77e-18 10 -> 10.00000000000000 Inexact Rounded
2679fmax36435 fma 1 77e-19 10 -> 10.00000000000000 Inexact Rounded
2680fmax36436 fma 1 77e-99 10 -> 10.00000000000000 Inexact Rounded
2681
2682-- negative ulps
2683fmax36440 fma 1 1 -77e-14 -> 0.99999999999923
2684fmax36441 fma 1 1 -77e-15 -> 0.999999999999923
2685fmax36442 fma 1 1 -77e-16 -> 0.9999999999999923
2686fmax36443 fma 1 1 -77e-17 -> 0.9999999999999992 Inexact Rounded
2687fmax36444 fma 1 1 -77e-18 -> 0.9999999999999999 Inexact Rounded
2688fmax36445 fma 1 1 -77e-19 -> 1.000000000000000 Inexact Rounded
2689fmax36446 fma 1 1 -77e-99 -> 1.000000000000000 Inexact Rounded
2690
2691fmax36450 fma 1 10 -77e-14 -> 9.99999999999923
2692fmax36451 fma 1 10 -77e-15 -> 9.999999999999923
2693fmax36452 fma 1 10 -77e-16 -> 9.999999999999992 Inexact Rounded
2694fmax36453 fma 1 10 -77e-17 -> 9.999999999999999 Inexact Rounded
2695fmax36454 fma 1 10 -77e-18 -> 10.00000000000000 Inexact Rounded
2696fmax36455 fma 1 10 -77e-19 -> 10.00000000000000 Inexact Rounded
2697fmax36456 fma 1 10 -77e-99 -> 10.00000000000000 Inexact Rounded
2698
2699fmax36460 fma 1 -77e-14 1 -> 0.99999999999923
2700fmax36461 fma 1 -77e-15 1 -> 0.999999999999923
2701fmax36462 fma 1 -77e-16 1 -> 0.9999999999999923
2702fmax36463 fma 1 -77e-17 1 -> 0.9999999999999992 Inexact Rounded
2703fmax36464 fma 1 -77e-18 1 -> 0.9999999999999999 Inexact Rounded
2704fmax36465 fma 1 -77e-19 1 -> 1.000000000000000 Inexact Rounded
2705fmax36466 fma 1 -77e-99 1 -> 1.000000000000000 Inexact Rounded
2706
2707fmax36470 fma 1 -77e-14 10 -> 9.99999999999923
2708fmax36471 fma 1 -77e-15 10 -> 9.999999999999923
2709fmax36472 fma 1 -77e-16 10 -> 9.999999999999992 Inexact Rounded
2710fmax36473 fma 1 -77e-17 10 -> 9.999999999999999 Inexact Rounded
2711fmax36474 fma 1 -77e-18 10 -> 10.00000000000000 Inexact Rounded
2712fmax36475 fma 1 -77e-19 10 -> 10.00000000000000 Inexact Rounded
2713fmax36476 fma 1 -77e-99 10 -> 10.00000000000000 Inexact Rounded
2714
2715-- negative ulps
2716fmax36480 fma 1 -1 77e-14 -> -0.99999999999923
2717fmax36481 fma 1 -1 77e-15 -> -0.999999999999923
2718fmax36482 fma 1 -1 77e-16 -> -0.9999999999999923
2719fmax36483 fma 1 -1 77e-17 -> -0.9999999999999992 Inexact Rounded
2720fmax36484 fma 1 -1 77e-18 -> -0.9999999999999999 Inexact Rounded
2721fmax36485 fma 1 -1 77e-19 -> -1.000000000000000 Inexact Rounded
2722fmax36486 fma 1 -1 77e-99 -> -1.000000000000000 Inexact Rounded
2723
2724fmax36490 fma 1 -10 77e-14 -> -9.99999999999923
2725fmax36491 fma 1 -10 77e-15 -> -9.999999999999923
2726fmax36492 fma 1 -10 77e-16 -> -9.999999999999992 Inexact Rounded
2727fmax36493 fma 1 -10 77e-17 -> -9.999999999999999 Inexact Rounded
2728fmax36494 fma 1 -10 77e-18 -> -10.00000000000000 Inexact Rounded
2729fmax36495 fma 1 -10 77e-19 -> -10.00000000000000 Inexact Rounded
2730fmax36496 fma 1 -10 77e-99 -> -10.00000000000000 Inexact Rounded
2731
2732fmax36500 fma 1 77e-14 -1 -> -0.99999999999923
2733fmax36501 fma 1 77e-15 -1 -> -0.999999999999923
2734fmax36502 fma 1 77e-16 -1 -> -0.9999999999999923
2735fmax36503 fma 1 77e-17 -1 -> -0.9999999999999992 Inexact Rounded
2736fmax36504 fma 1 77e-18 -1 -> -0.9999999999999999 Inexact Rounded
2737fmax36505 fma 1 77e-19 -1 -> -1.000000000000000 Inexact Rounded
2738fmax36506 fma 1 77e-99 -1 -> -1.000000000000000 Inexact Rounded
2739
2740fmax36510 fma 1 77e-14 -10 -> -9.99999999999923
2741fmax36511 fma 1 77e-15 -10 -> -9.999999999999923
2742fmax36512 fma 1 77e-16 -10 -> -9.999999999999992 Inexact Rounded
2743fmax36513 fma 1 77e-17 -10 -> -9.999999999999999 Inexact Rounded
2744fmax36514 fma 1 77e-18 -10 -> -10.00000000000000 Inexact Rounded
2745fmax36515 fma 1 77e-19 -10 -> -10.00000000000000 Inexact Rounded
2746fmax36516 fma 1 77e-99 -10 -> -10.00000000000000 Inexact Rounded
2747
2748
2749-- long operands
2750fmax36521 fma 1 101234562345678000 0 -> 1.012345623456780E+17 Rounded
2751fmax36522 fma 1 0 101234562345678000 -> 1.012345623456780E+17 Rounded
2752fmax36523 fma 1 10123456234567800 0 -> 1.012345623456780E+16 Rounded
2753fmax36524 fma 1 0 10123456234567800 -> 1.012345623456780E+16 Rounded
2754fmax36525 fma 1 10123456234567890 0 -> 1.012345623456789E+16 Rounded
2755fmax36526 fma 1 0 10123456234567890 -> 1.012345623456789E+16 Rounded
2756fmax36527 fma 1 10123456234567891 0 -> 1.012345623456789E+16 Inexact Rounded
2757fmax36528 fma 1 0 10123456234567891 -> 1.012345623456789E+16 Inexact Rounded
2758fmax36529 fma 1 101234562345678901 0 -> 1.012345623456789E+17 Inexact Rounded
2759fmax36530 fma 1 0 101234562345678901 -> 1.012345623456789E+17 Inexact Rounded
2760fmax36531 fma 1 10123456234567896 0 -> 1.012345623456790E+16 Inexact Rounded
2761fmax36532 fma 1 0 10123456234567896 -> 1.012345623456790E+16 Inexact Rounded
2762
2763-- verify a query
2764rounding: down
2765fmax36561 fma 1 1e-398 9.000000000000000E+384 -> 9.000000000000000E+384 Inexact Rounded
2766fmax36562 fma 1 0 9.000000000000000E+384 -> 9.000000000000000E+384 Rounded
2767-- and using decimal64 bounds...
2768rounding: down
2769fmax36563 fma 1 1e-388 9.000000000000000E+374 -> 9.000000000000000E+374 Inexact Rounded
2770fmax36564 fma 1 0 9.000000000000000E+374 -> 9.000000000000000E+374 Rounded
2771
2772-- more zeros, etc.
2773rounding: half_even
2774
2775fmax36701 fma 1 5.00 1.00E-3 -> 5.00100
2776fmax36702 fma 1 00.00 0.000 -> 0.000
2777fmax36703 fma 1 00.00 0E-3 -> 0.000
2778fmax36704 fma 1 0E-3 00.00 -> 0.000
2779
2780fmax36710 fma 1 0E+3 00.00 -> 0.00
2781fmax36711 fma 1 0E+3 00.0 -> 0.0
2782fmax36712 fma 1 0E+3 00. -> 0
2783fmax36713 fma 1 0E+3 00.E+1 -> 0E+1
2784fmax36714 fma 1 0E+3 00.E+2 -> 0E+2
2785fmax36715 fma 1 0E+3 00.E+3 -> 0E+3
2786fmax36716 fma 1 0E+3 00.E+4 -> 0E+3
2787fmax36717 fma 1 0E+3 00.E+5 -> 0E+3
2788fmax36718 fma 1 0E+3 -00.0 -> 0.0
2789fmax36719 fma 1 0E+3 -00. -> 0
2790fmax36731 fma 1 0E+3 -00.E+1 -> 0E+1
2791
2792fmax36720 fma 1 00.00 0E+3 -> 0.00
2793fmax36721 fma 1 00.0 0E+3 -> 0.0
2794fmax36722 fma 1 00. 0E+3 -> 0
2795fmax36723 fma 1 00.E+1 0E+3 -> 0E+1
2796fmax36724 fma 1 00.E+2 0E+3 -> 0E+2
2797fmax36725 fma 1 00.E+3 0E+3 -> 0E+3
2798fmax36726 fma 1 00.E+4 0E+3 -> 0E+3
2799fmax36727 fma 1 00.E+5 0E+3 -> 0E+3
2800fmax36728 fma 1 -00.00 0E+3 -> 0.00
2801fmax36729 fma 1 -00.0 0E+3 -> 0.0
2802fmax36730 fma 1 -00. 0E+3 -> 0
2803
2804fmax36732 fma 1 0 0 -> 0
2805fmax36733 fma 1 0 -0 -> 0
2806fmax36734 fma 1 -0 0 -> 0
2807fmax36735 fma 1 -0 -0 -> -0 -- IEEE 854 special case
2808
2809fmax36736 fma 1 1 -1 -> 0
2810fmax36737 fma 1 -1 -1 -> -2
2811fmax36738 fma 1 1 1 -> 2
2812fmax36739 fma 1 -1 1 -> 0
2813
2814fmax36741 fma 1 0 -1 -> -1
2815fmax36742 fma 1 -0 -1 -> -1
2816fmax36743 fma 1 0 1 -> 1
2817fmax36744 fma 1 -0 1 -> 1
2818fmax36745 fma 1 -1 0 -> -1
2819fmax36746 fma 1 -1 -0 -> -1
2820fmax36747 fma 1 1 0 -> 1
2821fmax36748 fma 1 1 -0 -> 1
2822
2823fmax36751 fma 1 0.0 -1 -> -1.0
2824fmax36752 fma 1 -0.0 -1 -> -1.0
2825fmax36753 fma 1 0.0 1 -> 1.0
2826fmax36754 fma 1 -0.0 1 -> 1.0
2827fmax36755 fma 1 -1.0 0 -> -1.0
2828fmax36756 fma 1 -1.0 -0 -> -1.0
2829fmax36757 fma 1 1.0 0 -> 1.0
2830fmax36758 fma 1 1.0 -0 -> 1.0
2831
2832fmax36761 fma 1 0 -1.0 -> -1.0
2833fmax36762 fma 1 -0 -1.0 -> -1.0
2834fmax36763 fma 1 0 1.0 -> 1.0
2835fmax36764 fma 1 -0 1.0 -> 1.0
2836fmax36765 fma 1 -1 0.0 -> -1.0
2837fmax36766 fma 1 -1 -0.0 -> -1.0
2838fmax36767 fma 1 1 0.0 -> 1.0
2839fmax36768 fma 1 1 -0.0 -> 1.0
2840
2841fmax36771 fma 1 0.0 -1.0 -> -1.0
2842fmax36772 fma 1 -0.0 -1.0 -> -1.0
2843fmax36773 fma 1 0.0 1.0 -> 1.0
2844fmax36774 fma 1 -0.0 1.0 -> 1.0
2845fmax36775 fma 1 -1.0 0.0 -> -1.0
2846fmax36776 fma 1 -1.0 -0.0 -> -1.0
2847fmax36777 fma 1 1.0 0.0 -> 1.0
2848fmax36778 fma 1 1.0 -0.0 -> 1.0
2849
2850-- Specials
2851fmax36780 fma 1 -Inf -Inf -> -Infinity
2852fmax36781 fma 1 -Inf -1000 -> -Infinity
2853fmax36782 fma 1 -Inf -1 -> -Infinity
2854fmax36783 fma 1 -Inf -0 -> -Infinity
2855fmax36784 fma 1 -Inf 0 -> -Infinity
2856fmax36785 fma 1 -Inf 1 -> -Infinity
2857fmax36786 fma 1 -Inf 1000 -> -Infinity
2858fmax36787 fma 1 -1000 -Inf -> -Infinity
2859fmax36788 fma 1 -Inf -Inf -> -Infinity
2860fmax36789 fma 1 -1 -Inf -> -Infinity
2861fmax36790 fma 1 -0 -Inf -> -Infinity
2862fmax36791 fma 1 0 -Inf -> -Infinity
2863fmax36792 fma 1 1 -Inf -> -Infinity
2864fmax36793 fma 1 1000 -Inf -> -Infinity
2865fmax36794 fma 1 Inf -Inf -> NaN Invalid_operation
2866
2867fmax36800 fma 1 Inf -Inf -> NaN Invalid_operation
2868fmax36801 fma 1 Inf -1000 -> Infinity
2869fmax36802 fma 1 Inf -1 -> Infinity
2870fmax36803 fma 1 Inf -0 -> Infinity
2871fmax36804 fma 1 Inf 0 -> Infinity
2872fmax36805 fma 1 Inf 1 -> Infinity
2873fmax36806 fma 1 Inf 1000 -> Infinity
2874fmax36807 fma 1 Inf Inf -> Infinity
2875fmax36808 fma 1 -1000 Inf -> Infinity
2876fmax36809 fma 1 -Inf Inf -> NaN Invalid_operation
2877fmax36810 fma 1 -1 Inf -> Infinity
2878fmax36811 fma 1 -0 Inf -> Infinity
2879fmax36812 fma 1 0 Inf -> Infinity
2880fmax36813 fma 1 1 Inf -> Infinity
2881fmax36814 fma 1 1000 Inf -> Infinity
2882fmax36815 fma 1 Inf Inf -> Infinity
2883
2884fmax36821 fma 1 NaN -Inf -> NaN
2885fmax36822 fma 1 NaN -1000 -> NaN
2886fmax36823 fma 1 NaN -1 -> NaN
2887fmax36824 fma 1 NaN -0 -> NaN
2888fmax36825 fma 1 NaN 0 -> NaN
2889fmax36826 fma 1 NaN 1 -> NaN
2890fmax36827 fma 1 NaN 1000 -> NaN
2891fmax36828 fma 1 NaN Inf -> NaN
2892fmax36829 fma 1 NaN NaN -> NaN
2893fmax36830 fma 1 -Inf NaN -> NaN
2894fmax36831 fma 1 -1000 NaN -> NaN
2895fmax36832 fma 1 -1 NaN -> NaN
2896fmax36833 fma 1 -0 NaN -> NaN
2897fmax36834 fma 1 0 NaN -> NaN
2898fmax36835 fma 1 1 NaN -> NaN
2899fmax36836 fma 1 1000 NaN -> NaN
2900fmax36837 fma 1 Inf NaN -> NaN
2901
2902fmax36841 fma 1 sNaN -Inf -> NaN Invalid_operation
2903fmax36842 fma 1 sNaN -1000 -> NaN Invalid_operation
2904fmax36843 fma 1 sNaN -1 -> NaN Invalid_operation
2905fmax36844 fma 1 sNaN -0 -> NaN Invalid_operation
2906fmax36845 fma 1 sNaN 0 -> NaN Invalid_operation
2907fmax36846 fma 1 sNaN 1 -> NaN Invalid_operation
2908fmax36847 fma 1 sNaN 1000 -> NaN Invalid_operation
2909fmax36848 fma 1 sNaN NaN -> NaN Invalid_operation
2910fmax36849 fma 1 sNaN sNaN -> NaN Invalid_operation
2911fmax36850 fma 1 NaN sNaN -> NaN Invalid_operation
2912fmax36851 fma 1 -Inf sNaN -> NaN Invalid_operation
2913fmax36852 fma 1 -1000 sNaN -> NaN Invalid_operation
2914fmax36853 fma 1 -1 sNaN -> NaN Invalid_operation
2915fmax36854 fma 1 -0 sNaN -> NaN Invalid_operation
2916fmax36855 fma 1 0 sNaN -> NaN Invalid_operation
2917fmax36856 fma 1 1 sNaN -> NaN Invalid_operation
2918fmax36857 fma 1 1000 sNaN -> NaN Invalid_operation
2919fmax36858 fma 1 Inf sNaN -> NaN Invalid_operation
2920fmax36859 fma 1 NaN sNaN -> NaN Invalid_operation
2921
2922-- propagating NaNs
2923fmax36861 fma 1 NaN1 -Inf -> NaN1
2924fmax36862 fma 1 +NaN2 -1000 -> NaN2
2925fmax36863 fma 1 NaN3 1000 -> NaN3
2926fmax36864 fma 1 NaN4 Inf -> NaN4
2927fmax36865 fma 1 NaN5 +NaN6 -> NaN5
2928fmax36866 fma 1 -Inf NaN7 -> NaN7
2929fmax36867 fma 1 -1000 NaN8 -> NaN8
2930fmax36868 fma 1 1000 NaN9 -> NaN9
2931fmax36869 fma 1 Inf +NaN10 -> NaN10
2932fmax36871 fma 1 sNaN11 -Inf -> NaN11 Invalid_operation
2933fmax36872 fma 1 sNaN12 -1000 -> NaN12 Invalid_operation
2934fmax36873 fma 1 sNaN13 1000 -> NaN13 Invalid_operation
2935fmax36874 fma 1 sNaN14 NaN17 -> NaN14 Invalid_operation
2936fmax36875 fma 1 sNaN15 sNaN18 -> NaN15 Invalid_operation
2937fmax36876 fma 1 NaN16 sNaN19 -> NaN19 Invalid_operation
2938fmax36877 fma 1 -Inf +sNaN20 -> NaN20 Invalid_operation
2939fmax36878 fma 1 -1000 sNaN21 -> NaN21 Invalid_operation
2940fmax36879 fma 1 1000 sNaN22 -> NaN22 Invalid_operation
2941fmax36880 fma 1 Inf sNaN23 -> NaN23 Invalid_operation
2942fmax36881 fma 1 +NaN25 +sNaN24 -> NaN24 Invalid_operation
2943fmax36882 fma 1 -NaN26 NaN28 -> -NaN26
2944fmax36883 fma 1 -sNaN27 sNaN29 -> -NaN27 Invalid_operation
2945fmax36884 fma 1 1000 -NaN30 -> -NaN30
2946fmax36885 fma 1 1000 -sNaN31 -> -NaN31 Invalid_operation
2947
2948-- now the case where we can get underflow but the result is normal
2949-- [note this can't happen if the operands are also bounded, as we
2950-- cannot represent 1E-399, for example]
2951
2952fmax36571 fma 1 1E-383 0 -> 1E-383
2953fmax36572 fma 1 1E-384 0 -> 1E-384 Subnormal
2954fmax36573 fma 1 1E-383 1E-384 -> 1.1E-383
2955fmax36574 subtract 1E-383 1E-384 -> 9E-384 Subnormal
2956
2957-- Here we explore the boundary of rounding a subnormal to Nmin
2958fmax36575 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal
2959fmax36576 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal
2960fmax36577 subtract 1E-383 1E-399 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
2961fmax36578 subtract 1E-383 1E-400 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
2962fmax36579 subtract 1E-383 1E-401 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
2963fmax36580 subtract 1E-383 1E-402 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
2964
2965-- check overflow edge case
2966-- 1234567890123456
2967fmax36972 apply 9.999999999999999E+384 -> 9.999999999999999E+384
2968fmax36973 fma 1 9.999999999999999E+384 1 -> 9.999999999999999E+384 Inexact Rounded
2969fmax36974 fma 1 9999999999999999E+369 1 -> 9.999999999999999E+384 Inexact Rounded
2970fmax36975 fma 1 9999999999999999E+369 1E+369 -> Infinity Overflow Inexact Rounded
2971fmax36976 fma 1 9999999999999999E+369 9E+368 -> Infinity Overflow Inexact Rounded
2972fmax36977 fma 1 9999999999999999E+369 8E+368 -> Infinity Overflow Inexact Rounded
2973fmax36978 fma 1 9999999999999999E+369 7E+368 -> Infinity Overflow Inexact Rounded
2974fmax36979 fma 1 9999999999999999E+369 6E+368 -> Infinity Overflow Inexact Rounded
2975fmax36980 fma 1 9999999999999999E+369 5E+368 -> Infinity Overflow Inexact Rounded
2976fmax36981 fma 1 9999999999999999E+369 4E+368 -> 9.999999999999999E+384 Inexact Rounded
2977fmax36982 fma 1 9999999999999999E+369 3E+368 -> 9.999999999999999E+384 Inexact Rounded
2978fmax36983 fma 1 9999999999999999E+369 2E+368 -> 9.999999999999999E+384 Inexact Rounded
2979fmax36984 fma 1 9999999999999999E+369 1E+368 -> 9.999999999999999E+384 Inexact Rounded
2980
2981fmax36985 apply -9.999999999999999E+384 -> -9.999999999999999E+384
2982fmax36986 fma 1 -9.999999999999999E+384 -1 -> -9.999999999999999E+384 Inexact Rounded
2983fmax36987 fma 1 -9999999999999999E+369 -1 -> -9.999999999999999E+384 Inexact Rounded
2984fmax36988 fma 1 -9999999999999999E+369 -1E+369 -> -Infinity Overflow Inexact Rounded
2985fmax36989 fma 1 -9999999999999999E+369 -9E+368 -> -Infinity Overflow Inexact Rounded
2986fmax36990 fma 1 -9999999999999999E+369 -8E+368 -> -Infinity Overflow Inexact Rounded
2987fmax36991 fma 1 -9999999999999999E+369 -7E+368 -> -Infinity Overflow Inexact Rounded
2988fmax36992 fma 1 -9999999999999999E+369 -6E+368 -> -Infinity Overflow Inexact Rounded
2989fmax36993 fma 1 -9999999999999999E+369 -5E+368 -> -Infinity Overflow Inexact Rounded
2990fmax36994 fma 1 -9999999999999999E+369 -4E+368 -> -9.999999999999999E+384 Inexact Rounded
2991fmax36995 fma 1 -9999999999999999E+369 -3E+368 -> -9.999999999999999E+384 Inexact Rounded
2992fmax36996 fma 1 -9999999999999999E+369 -2E+368 -> -9.999999999999999E+384 Inexact Rounded
2993fmax36997 fma 1 -9999999999999999E+369 -1E+368 -> -9.999999999999999E+384 Inexact Rounded
2994
2995-- And for round down full and subnormal results
2996rounding: down
2997fmax361100 fma 1 1e+2 -1e-383 -> 99.99999999999999 Rounded Inexact
2998fmax361101 fma 1 1e+1 -1e-383 -> 9.999999999999999 Rounded Inexact
2999fmax361103 fma 1 +1 -1e-383 -> 0.9999999999999999 Rounded Inexact
3000fmax361104 fma 1 1e-1 -1e-383 -> 0.09999999999999999 Rounded Inexact
3001fmax361105 fma 1 1e-2 -1e-383 -> 0.009999999999999999 Rounded Inexact
3002fmax361106 fma 1 1e-3 -1e-383 -> 0.0009999999999999999 Rounded Inexact
3003fmax361107 fma 1 1e-4 -1e-383 -> 0.00009999999999999999 Rounded Inexact
3004fmax361108 fma 1 1e-5 -1e-383 -> 0.000009999999999999999 Rounded Inexact
3005fmax361109 fma 1 1e-6 -1e-383 -> 9.999999999999999E-7 Rounded Inexact
3006
3007rounding: ceiling
3008fmax361110 fma 1 -1e+2 +1e-383 -> -99.99999999999999 Rounded Inexact
3009fmax361111 fma 1 -1e+1 +1e-383 -> -9.999999999999999 Rounded Inexact
3010fmax361113 fma 1 -1 +1e-383 -> -0.9999999999999999 Rounded Inexact
3011fmax361114 fma 1 -1e-1 +1e-383 -> -0.09999999999999999 Rounded Inexact
3012fmax361115 fma 1 -1e-2 +1e-383 -> -0.009999999999999999 Rounded Inexact
3013fmax361116 fma 1 -1e-3 +1e-383 -> -0.0009999999999999999 Rounded Inexact
3014fmax361117 fma 1 -1e-4 +1e-383 -> -0.00009999999999999999 Rounded Inexact
3015fmax361118 fma 1 -1e-5 +1e-383 -> -0.000009999999999999999 Rounded Inexact
3016fmax361119 fma 1 -1e-6 +1e-383 -> -9.999999999999999E-7 Rounded Inexact
3017
3018-- tests based on Gunnar Degnbol's edge case
3019rounding: half_even
3020
3021fmax361300 fma 1 1E16 -0.5 -> 1.000000000000000E+16 Inexact Rounded
3022fmax361310 fma 1 1E16 -0.51 -> 9999999999999999 Inexact Rounded
3023fmax361311 fma 1 1E16 -0.501 -> 9999999999999999 Inexact Rounded
3024fmax361312 fma 1 1E16 -0.5001 -> 9999999999999999 Inexact Rounded
3025fmax361313 fma 1 1E16 -0.50001 -> 9999999999999999 Inexact Rounded
3026fmax361314 fma 1 1E16 -0.500001 -> 9999999999999999 Inexact Rounded
3027fmax361315 fma 1 1E16 -0.5000001 -> 9999999999999999 Inexact Rounded
3028fmax361316 fma 1 1E16 -0.50000001 -> 9999999999999999 Inexact Rounded
3029fmax361317 fma 1 1E16 -0.500000001 -> 9999999999999999 Inexact Rounded
3030fmax361318 fma 1 1E16 -0.5000000001 -> 9999999999999999 Inexact Rounded
3031fmax361319 fma 1 1E16 -0.50000000001 -> 9999999999999999 Inexact Rounded
3032fmax361320 fma 1 1E16 -0.500000000001 -> 9999999999999999 Inexact Rounded
3033fmax361321 fma 1 1E16 -0.5000000000001 -> 9999999999999999 Inexact Rounded
3034fmax361322 fma 1 1E16 -0.50000000000001 -> 9999999999999999 Inexact Rounded
3035fmax361323 fma 1 1E16 -0.500000000000001 -> 9999999999999999 Inexact Rounded
3036fmax361324 fma 1 1E16 -0.5000000000000001 -> 9999999999999999 Inexact Rounded
3037fmax361325 fma 1 1E16 -0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded
3038fmax361326 fma 1 1E16 -0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded
3039fmax361327 fma 1 1E16 -0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded
3040fmax361328 fma 1 1E16 -0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded
3041fmax361329 fma 1 1E16 -0.500000000000 -> 1.000000000000000E+16 Inexact Rounded
3042fmax361330 fma 1 1E16 -0.50000000000 -> 1.000000000000000E+16 Inexact Rounded
3043fmax361331 fma 1 1E16 -0.5000000000 -> 1.000000000000000E+16 Inexact Rounded
3044fmax361332 fma 1 1E16 -0.500000000 -> 1.000000000000000E+16 Inexact Rounded
3045fmax361333 fma 1 1E16 -0.50000000 -> 1.000000000000000E+16 Inexact Rounded
3046fmax361334 fma 1 1E16 -0.5000000 -> 1.000000000000000E+16 Inexact Rounded
3047fmax361335 fma 1 1E16 -0.500000 -> 1.000000000000000E+16 Inexact Rounded
3048fmax361336 fma 1 1E16 -0.50000 -> 1.000000000000000E+16 Inexact Rounded
3049fmax361337 fma 1 1E16 -0.5000 -> 1.000000000000000E+16 Inexact Rounded
3050fmax361338 fma 1 1E16 -0.500 -> 1.000000000000000E+16 Inexact Rounded
3051fmax361339 fma 1 1E16 -0.50 -> 1.000000000000000E+16 Inexact Rounded
3052
3053fmax361340 fma 1 1E16 -5000000.000010001 -> 9999999995000000 Inexact Rounded
3054fmax361341 fma 1 1E16 -5000000.000000001 -> 9999999995000000 Inexact Rounded
3055
3056fmax361349 fma 1 9999999999999999 0.4 -> 9999999999999999 Inexact Rounded
3057fmax361350 fma 1 9999999999999999 0.49 -> 9999999999999999 Inexact Rounded
3058fmax361351 fma 1 9999999999999999 0.499 -> 9999999999999999 Inexact Rounded
3059fmax361352 fma 1 9999999999999999 0.4999 -> 9999999999999999 Inexact Rounded
3060fmax361353 fma 1 9999999999999999 0.49999 -> 9999999999999999 Inexact Rounded
3061fmax361354 fma 1 9999999999999999 0.499999 -> 9999999999999999 Inexact Rounded
3062fmax361355 fma 1 9999999999999999 0.4999999 -> 9999999999999999 Inexact Rounded
3063fmax361356 fma 1 9999999999999999 0.49999999 -> 9999999999999999 Inexact Rounded
3064fmax361357 fma 1 9999999999999999 0.499999999 -> 9999999999999999 Inexact Rounded
3065fmax361358 fma 1 9999999999999999 0.4999999999 -> 9999999999999999 Inexact Rounded
3066fmax361359 fma 1 9999999999999999 0.49999999999 -> 9999999999999999 Inexact Rounded
3067fmax361360 fma 1 9999999999999999 0.499999999999 -> 9999999999999999 Inexact Rounded
3068fmax361361 fma 1 9999999999999999 0.4999999999999 -> 9999999999999999 Inexact Rounded
3069fmax361362 fma 1 9999999999999999 0.49999999999999 -> 9999999999999999 Inexact Rounded
3070fmax361363 fma 1 9999999999999999 0.499999999999999 -> 9999999999999999 Inexact Rounded
3071fmax361364 fma 1 9999999999999999 0.4999999999999999 -> 9999999999999999 Inexact Rounded
3072fmax361365 fma 1 9999999999999999 0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded
3073fmax361367 fma 1 9999999999999999 0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded
3074fmax361368 fma 1 9999999999999999 0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded
3075fmax361369 fma 1 9999999999999999 0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded
3076fmax361370 fma 1 9999999999999999 0.500000000000 -> 1.000000000000000E+16 Inexact Rounded
3077fmax361371 fma 1 9999999999999999 0.50000000000 -> 1.000000000000000E+16 Inexact Rounded
3078fmax361372 fma 1 9999999999999999 0.5000000000 -> 1.000000000000000E+16 Inexact Rounded
3079fmax361373 fma 1 9999999999999999 0.500000000 -> 1.000000000000000E+16 Inexact Rounded
3080fmax361374 fma 1 9999999999999999 0.50000000 -> 1.000000000000000E+16 Inexact Rounded
3081fmax361375 fma 1 9999999999999999 0.5000000 -> 1.000000000000000E+16 Inexact Rounded
3082fmax361376 fma 1 9999999999999999 0.500000 -> 1.000000000000000E+16 Inexact Rounded
3083fmax361377 fma 1 9999999999999999 0.50000 -> 1.000000000000000E+16 Inexact Rounded
3084fmax361378 fma 1 9999999999999999 0.5000 -> 1.000000000000000E+16 Inexact Rounded
3085fmax361379 fma 1 9999999999999999 0.500 -> 1.000000000000000E+16 Inexact Rounded
3086fmax361380 fma 1 9999999999999999 0.50 -> 1.000000000000000E+16 Inexact Rounded
3087fmax361381 fma 1 9999999999999999 0.5 -> 1.000000000000000E+16 Inexact Rounded
3088fmax361382 fma 1 9999999999999999 0.5000000000000001 -> 1.000000000000000E+16 Inexact Rounded
3089fmax361383 fma 1 9999999999999999 0.500000000000001 -> 1.000000000000000E+16 Inexact Rounded
3090fmax361384 fma 1 9999999999999999 0.50000000000001 -> 1.000000000000000E+16 Inexact Rounded
3091fmax361385 fma 1 9999999999999999 0.5000000000001 -> 1.000000000000000E+16 Inexact Rounded
3092fmax361386 fma 1 9999999999999999 0.500000000001 -> 1.000000000000000E+16 Inexact Rounded
3093fmax361387 fma 1 9999999999999999 0.50000000001 -> 1.000000000000000E+16 Inexact Rounded
3094fmax361388 fma 1 9999999999999999 0.5000000001 -> 1.000000000000000E+16 Inexact Rounded
3095fmax361389 fma 1 9999999999999999 0.500000001 -> 1.000000000000000E+16 Inexact Rounded
3096fmax361390 fma 1 9999999999999999 0.50000001 -> 1.000000000000000E+16 Inexact Rounded
3097fmax361391 fma 1 9999999999999999 0.5000001 -> 1.000000000000000E+16 Inexact Rounded
3098fmax361392 fma 1 9999999999999999 0.500001 -> 1.000000000000000E+16 Inexact Rounded
3099fmax361393 fma 1 9999999999999999 0.50001 -> 1.000000000000000E+16 Inexact Rounded
3100fmax361394 fma 1 9999999999999999 0.5001 -> 1.000000000000000E+16 Inexact Rounded
3101fmax361395 fma 1 9999999999999999 0.501 -> 1.000000000000000E+16 Inexact Rounded
3102fmax361396 fma 1 9999999999999999 0.51 -> 1.000000000000000E+16 Inexact Rounded
3103
3104-- More GD edge cases, where difference between the unadjusted
3105-- exponents is larger than the maximum precision and one side is 0
3106fmax361420 fma 1 0 1.123456789012345 -> 1.123456789012345
3107fmax361421 fma 1 0 1.123456789012345E-1 -> 0.1123456789012345
3108fmax361422 fma 1 0 1.123456789012345E-2 -> 0.01123456789012345
3109fmax361423 fma 1 0 1.123456789012345E-3 -> 0.001123456789012345
3110fmax361424 fma 1 0 1.123456789012345E-4 -> 0.0001123456789012345
3111fmax361425 fma 1 0 1.123456789012345E-5 -> 0.00001123456789012345
3112fmax361426 fma 1 0 1.123456789012345E-6 -> 0.000001123456789012345
3113fmax361427 fma 1 0 1.123456789012345E-7 -> 1.123456789012345E-7
3114fmax361428 fma 1 0 1.123456789012345E-8 -> 1.123456789012345E-8
3115fmax361429 fma 1 0 1.123456789012345E-9 -> 1.123456789012345E-9
3116fmax361430 fma 1 0 1.123456789012345E-10 -> 1.123456789012345E-10
3117fmax361431 fma 1 0 1.123456789012345E-11 -> 1.123456789012345E-11
3118fmax361432 fma 1 0 1.123456789012345E-12 -> 1.123456789012345E-12
3119fmax361433 fma 1 0 1.123456789012345E-13 -> 1.123456789012345E-13
3120fmax361434 fma 1 0 1.123456789012345E-14 -> 1.123456789012345E-14
3121fmax361435 fma 1 0 1.123456789012345E-15 -> 1.123456789012345E-15
3122fmax361436 fma 1 0 1.123456789012345E-16 -> 1.123456789012345E-16
3123fmax361437 fma 1 0 1.123456789012345E-17 -> 1.123456789012345E-17
3124fmax361438 fma 1 0 1.123456789012345E-18 -> 1.123456789012345E-18
3125fmax361439 fma 1 0 1.123456789012345E-19 -> 1.123456789012345E-19
3126
3127-- same, reversed 0
3128fmax361440 fma 1 1.123456789012345 0 -> 1.123456789012345
3129fmax361441 fma 1 1.123456789012345E-1 0 -> 0.1123456789012345
3130fmax361442 fma 1 1.123456789012345E-2 0 -> 0.01123456789012345
3131fmax361443 fma 1 1.123456789012345E-3 0 -> 0.001123456789012345
3132fmax361444 fma 1 1.123456789012345E-4 0 -> 0.0001123456789012345
3133fmax361445 fma 1 1.123456789012345E-5 0 -> 0.00001123456789012345
3134fmax361446 fma 1 1.123456789012345E-6 0 -> 0.000001123456789012345
3135fmax361447 fma 1 1.123456789012345E-7 0 -> 1.123456789012345E-7
3136fmax361448 fma 1 1.123456789012345E-8 0 -> 1.123456789012345E-8
3137fmax361449 fma 1 1.123456789012345E-9 0 -> 1.123456789012345E-9
3138fmax361450 fma 1 1.123456789012345E-10 0 -> 1.123456789012345E-10
3139fmax361451 fma 1 1.123456789012345E-11 0 -> 1.123456789012345E-11
3140fmax361452 fma 1 1.123456789012345E-12 0 -> 1.123456789012345E-12
3141fmax361453 fma 1 1.123456789012345E-13 0 -> 1.123456789012345E-13
3142fmax361454 fma 1 1.123456789012345E-14 0 -> 1.123456789012345E-14
3143fmax361455 fma 1 1.123456789012345E-15 0 -> 1.123456789012345E-15
3144fmax361456 fma 1 1.123456789012345E-16 0 -> 1.123456789012345E-16
3145fmax361457 fma 1 1.123456789012345E-17 0 -> 1.123456789012345E-17
3146fmax361458 fma 1 1.123456789012345E-18 0 -> 1.123456789012345E-18
3147fmax361459 fma 1 1.123456789012345E-19 0 -> 1.123456789012345E-19
3148
3149-- same, Es on the 0
3150fmax361460 fma 1 1.123456789012345 0E-0 -> 1.123456789012345
3151fmax361461 fma 1 1.123456789012345 0E-1 -> 1.123456789012345
3152fmax361462 fma 1 1.123456789012345 0E-2 -> 1.123456789012345
3153fmax361463 fma 1 1.123456789012345 0E-3 -> 1.123456789012345
3154fmax361464 fma 1 1.123456789012345 0E-4 -> 1.123456789012345
3155fmax361465 fma 1 1.123456789012345 0E-5 -> 1.123456789012345
3156fmax361466 fma 1 1.123456789012345 0E-6 -> 1.123456789012345
3157fmax361467 fma 1 1.123456789012345 0E-7 -> 1.123456789012345
3158fmax361468 fma 1 1.123456789012345 0E-8 -> 1.123456789012345
3159fmax361469 fma 1 1.123456789012345 0E-9 -> 1.123456789012345
3160fmax361470 fma 1 1.123456789012345 0E-10 -> 1.123456789012345
3161fmax361471 fma 1 1.123456789012345 0E-11 -> 1.123456789012345
3162fmax361472 fma 1 1.123456789012345 0E-12 -> 1.123456789012345
3163fmax361473 fma 1 1.123456789012345 0E-13 -> 1.123456789012345
3164fmax361474 fma 1 1.123456789012345 0E-14 -> 1.123456789012345
3165fmax361475 fma 1 1.123456789012345 0E-15 -> 1.123456789012345
3166-- next four flag Rounded because the 0 extends the result
3167fmax361476 fma 1 1.123456789012345 0E-16 -> 1.123456789012345 Rounded
3168fmax361477 fma 1 1.123456789012345 0E-17 -> 1.123456789012345 Rounded
3169fmax361478 fma 1 1.123456789012345 0E-18 -> 1.123456789012345 Rounded
3170fmax361479 fma 1 1.123456789012345 0E-19 -> 1.123456789012345 Rounded
3171
3172-- sum of two opposite-sign operands is exactly 0 and floor => -0
3173rounding: half_up
3174-- exact zeros from zeros
3175fmax361500 fma 1 0 0E-19 -> 0E-19
3176fmax361501 fma 1 -0 0E-19 -> 0E-19
3177fmax361502 fma 1 0 -0E-19 -> 0E-19
3178fmax361503 fma 1 -0 -0E-19 -> -0E-19
3179fmax361504 fma 1 0E-400 0E-19 -> 0E-398 Clamped
3180fmax361505 fma 1 -0E-400 0E-19 -> 0E-398 Clamped
3181fmax361506 fma 1 0E-400 -0E-19 -> 0E-398 Clamped
3182fmax361507 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped
3183-- inexact zeros
3184fmax361511 fma 1 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
3185fmax361512 fma 1 -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
3186fmax361513 fma 1 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
3187fmax361514 fma 1 -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
3188-- some exact zeros from non-zeros
3189fmax361515 fma 1 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
3190fmax361516 fma 1 -1E-401 1E-401 -> 0E-398 Clamped
3191fmax361517 fma 1 1E-401 -1E-401 -> 0E-398 Clamped
3192fmax361518 fma 1 -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
3193
3194rounding: half_down
3195-- exact zeros from zeros
3196fmax361520 fma 1 0 0E-19 -> 0E-19
3197fmax361521 fma 1 -0 0E-19 -> 0E-19
3198fmax361522 fma 1 0 -0E-19 -> 0E-19
3199fmax361523 fma 1 -0 -0E-19 -> -0E-19
3200fmax361524 fma 1 0E-400 0E-19 -> 0E-398 Clamped
3201fmax361525 fma 1 -0E-400 0E-19 -> 0E-398 Clamped
3202fmax361526 fma 1 0E-400 -0E-19 -> 0E-398 Clamped
3203fmax361527 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped
3204-- inexact zeros
3205fmax361531 fma 1 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
3206fmax361532 fma 1 -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
3207fmax361533 fma 1 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
3208fmax361534 fma 1 -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
3209-- some exact zeros from non-zeros
3210fmax361535 fma 1 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
3211fmax361536 fma 1 -1E-401 1E-401 -> 0E-398 Clamped
3212fmax361537 fma 1 1E-401 -1E-401 -> 0E-398 Clamped
3213fmax361538 fma 1 -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
3214
3215rounding: half_even
3216-- exact zeros from zeros
3217fmax361540 fma 1 0 0E-19 -> 0E-19
3218fmax361541 fma 1 -0 0E-19 -> 0E-19
3219fmax361542 fma 1 0 -0E-19 -> 0E-19
3220fmax361543 fma 1 -0 -0E-19 -> -0E-19
3221fmax361544 fma 1 0E-400 0E-19 -> 0E-398 Clamped
3222fmax361545 fma 1 -0E-400 0E-19 -> 0E-398 Clamped
3223fmax361546 fma 1 0E-400 -0E-19 -> 0E-398 Clamped
3224fmax361547 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped
3225-- inexact zeros
3226fmax361551 fma 1 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
3227fmax361552 fma 1 -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
3228fmax361553 fma 1 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
3229fmax361554 fma 1 -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
3230-- some exact zeros from non-zeros
3231fmax361555 fma 1 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
3232fmax361556 fma 1 -1E-401 1E-401 -> 0E-398 Clamped
3233fmax361557 fma 1 1E-401 -1E-401 -> 0E-398 Clamped
3234fmax361558 fma 1 -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
3235
3236rounding: up
3237-- exact zeros from zeros
3238fmax361560 fma 1 0 0E-19 -> 0E-19
3239fmax361561 fma 1 -0 0E-19 -> 0E-19
3240fmax361562 fma 1 0 -0E-19 -> 0E-19
3241fmax361563 fma 1 -0 -0E-19 -> -0E-19
3242fmax361564 fma 1 0E-400 0E-19 -> 0E-398 Clamped
3243fmax361565 fma 1 -0E-400 0E-19 -> 0E-398 Clamped
3244fmax361566 fma 1 0E-400 -0E-19 -> 0E-398 Clamped
3245fmax361567 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped
3246-- inexact zeros
3247fmax361571 fma 1 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
3248fmax361572 fma 1 -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
3249fmax361573 fma 1 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
3250fmax361574 fma 1 -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
3251-- some exact zeros from non-zeros
3252fmax361575 fma 1 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow
3253fmax361576 fma 1 -1E-401 1E-401 -> 0E-398 Clamped
3254fmax361577 fma 1 1E-401 -1E-401 -> 0E-398 Clamped
3255fmax361578 fma 1 -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow
3256
3257rounding: down
3258-- exact zeros from zeros
3259fmax361580 fma 1 0 0E-19 -> 0E-19
3260fmax361581 fma 1 -0 0E-19 -> 0E-19
3261fmax361582 fma 1 0 -0E-19 -> 0E-19
3262fmax361583 fma 1 -0 -0E-19 -> -0E-19
3263fmax361584 fma 1 0E-400 0E-19 -> 0E-398 Clamped
3264fmax361585 fma 1 -0E-400 0E-19 -> 0E-398 Clamped
3265fmax361586 fma 1 0E-400 -0E-19 -> 0E-398 Clamped
3266fmax361587 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped
3267-- inexact zeros
3268fmax361591 fma 1 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
3269fmax361592 fma 1 -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
3270fmax361593 fma 1 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
3271fmax361594 fma 1 -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
3272-- some exact zeros from non-zeros
3273fmax361595 fma 1 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
3274fmax361596 fma 1 -1E-401 1E-401 -> 0E-398 Clamped
3275fmax361597 fma 1 1E-401 -1E-401 -> 0E-398 Clamped
3276fmax361598 fma 1 -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
3277
3278rounding: ceiling
3279-- exact zeros from zeros
3280fmax361600 fma 1 0 0E-19 -> 0E-19
3281fmax361601 fma 1 -0 0E-19 -> 0E-19
3282fmax361602 fma 1 0 -0E-19 -> 0E-19
3283fmax361603 fma 1 -0 -0E-19 -> -0E-19
3284fmax361604 fma 1 0E-400 0E-19 -> 0E-398 Clamped
3285fmax361605 fma 1 -0E-400 0E-19 -> 0E-398 Clamped
3286fmax361606 fma 1 0E-400 -0E-19 -> 0E-398 Clamped
3287fmax361607 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped
3288-- inexact zeros
3289fmax361611 fma 1 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
3290fmax361612 fma 1 -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
3291fmax361613 fma 1 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
3292fmax361614 fma 1 -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
3293-- some exact zeros from non-zeros
3294fmax361615 fma 1 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow
3295fmax361616 fma 1 -1E-401 1E-401 -> 0E-398 Clamped
3296fmax361617 fma 1 1E-401 -1E-401 -> 0E-398 Clamped
3297fmax361618 fma 1 -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
3298
3299-- and the extra-special ugly case; unusual minuses marked by -- *
3300rounding: floor
3301-- exact zeros from zeros
3302fmax361620 fma 1 0 0E-19 -> 0E-19
3303fmax361621 fma 1 -0 0E-19 -> -0E-19 -- *
3304fmax361622 fma 1 0 -0E-19 -> -0E-19 -- *
3305fmax361623 fma 1 -0 -0E-19 -> -0E-19
3306fmax361624 fma 1 0E-400 0E-19 -> 0E-398 Clamped
3307fmax361625 fma 1 -0E-400 0E-19 -> -0E-398 Clamped -- *
3308fmax361626 fma 1 0E-400 -0E-19 -> -0E-398 Clamped -- *
3309fmax361627 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped
3310-- inexact zeros
3311fmax361631 fma 1 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
3312fmax361632 fma 1 -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
3313fmax361633 fma 1 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
3314fmax361634 fma 1 -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
3315-- some exact zeros from non-zeros
3316fmax361635 fma 1 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
3317fmax361636 fma 1 -1E-401 1E-401 -> -0E-398 Clamped -- *
3318fmax361637 fma 1 1E-401 -1E-401 -> -0E-398 Clamped -- *
3319fmax361638 fma 1 -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow
3320
3321-- Examples from SQL proposal (Krishna Kulkarni)
3322fmax361701 fma 1 130E-2 120E-2 -> 2.50
3323fmax361702 fma 1 130E-2 12E-1 -> 2.50
3324fmax361703 fma 1 130E-2 1E0 -> 2.30
3325fmax361704 fma 1 1E2 1E4 -> 1.01E+4
3326fmax361705 subtract 130E-2 120E-2 -> 0.10
3327fmax361706 subtract 130E-2 12E-1 -> 0.10
3328fmax361707 subtract 130E-2 1E0 -> 0.30
3329fmax361708 subtract 1E2 1E4 -> -9.9E+3
3330
3331-- Gappy coefficients; check residue handling even with full coefficient gap
3332rounding: half_even
3333
3334fmax362001 fma 1 1234567890123456 1 -> 1234567890123457
3335fmax362002 fma 1 1234567890123456 0.6 -> 1234567890123457 Inexact Rounded
3336fmax362003 fma 1 1234567890123456 0.06 -> 1234567890123456 Inexact Rounded
3337fmax362004 fma 1 1234567890123456 6E-3 -> 1234567890123456 Inexact Rounded
3338fmax362005 fma 1 1234567890123456 6E-4 -> 1234567890123456 Inexact Rounded
3339fmax362006 fma 1 1234567890123456 6E-5 -> 1234567890123456 Inexact Rounded
3340fmax362007 fma 1 1234567890123456 6E-6 -> 1234567890123456 Inexact Rounded
3341fmax362008 fma 1 1234567890123456 6E-7 -> 1234567890123456 Inexact Rounded
3342fmax362009 fma 1 1234567890123456 6E-8 -> 1234567890123456 Inexact Rounded
3343fmax362010 fma 1 1234567890123456 6E-9 -> 1234567890123456 Inexact Rounded
3344fmax362011 fma 1 1234567890123456 6E-10 -> 1234567890123456 Inexact Rounded
3345fmax362012 fma 1 1234567890123456 6E-11 -> 1234567890123456 Inexact Rounded
3346fmax362013 fma 1 1234567890123456 6E-12 -> 1234567890123456 Inexact Rounded
3347fmax362014 fma 1 1234567890123456 6E-13 -> 1234567890123456 Inexact Rounded
3348fmax362015 fma 1 1234567890123456 6E-14 -> 1234567890123456 Inexact Rounded
3349fmax362016 fma 1 1234567890123456 6E-15 -> 1234567890123456 Inexact Rounded
3350fmax362017 fma 1 1234567890123456 6E-16 -> 1234567890123456 Inexact Rounded
3351fmax362018 fma 1 1234567890123456 6E-17 -> 1234567890123456 Inexact Rounded
3352fmax362019 fma 1 1234567890123456 6E-18 -> 1234567890123456 Inexact Rounded
3353fmax362020 fma 1 1234567890123456 6E-19 -> 1234567890123456 Inexact Rounded
3354fmax362021 fma 1 1234567890123456 6E-20 -> 1234567890123456 Inexact Rounded
3355
3356-- widening second argument at gap
3357fmax362030 fma 1 12345678 1 -> 12345679
3358fmax362031 fma 1 12345678 0.1 -> 12345678.1
3359fmax362032 fma 1 12345678 0.12 -> 12345678.12
3360fmax362033 fma 1 12345678 0.123 -> 12345678.123
3361fmax362034 fma 1 12345678 0.1234 -> 12345678.1234
3362fmax362035 fma 1 12345678 0.12345 -> 12345678.12345
3363fmax362036 fma 1 12345678 0.123456 -> 12345678.123456
3364fmax362037 fma 1 12345678 0.1234567 -> 12345678.1234567
3365fmax362038 fma 1 12345678 0.12345678 -> 12345678.12345678
3366fmax362039 fma 1 12345678 0.123456789 -> 12345678.12345679 Inexact Rounded
3367fmax362040 fma 1 12345678 0.123456785 -> 12345678.12345678 Inexact Rounded
3368fmax362041 fma 1 12345678 0.1234567850 -> 12345678.12345678 Inexact Rounded
3369fmax362042 fma 1 12345678 0.1234567851 -> 12345678.12345679 Inexact Rounded
3370fmax362043 fma 1 12345678 0.12345678501 -> 12345678.12345679 Inexact Rounded
3371fmax362044 fma 1 12345678 0.123456785001 -> 12345678.12345679 Inexact Rounded
3372fmax362045 fma 1 12345678 0.1234567850001 -> 12345678.12345679 Inexact Rounded
3373fmax362046 fma 1 12345678 0.12345678500001 -> 12345678.12345679 Inexact Rounded
3374fmax362047 fma 1 12345678 0.123456785000001 -> 12345678.12345679 Inexact Rounded
3375fmax362048 fma 1 12345678 0.1234567850000001 -> 12345678.12345679 Inexact Rounded
3376fmax362049 fma 1 12345678 0.1234567850000000 -> 12345678.12345678 Inexact Rounded
3377-- 90123456
3378rounding: half_even
3379fmax362050 fma 1 12345678 0.0234567750000000 -> 12345678.02345678 Inexact Rounded
3380fmax362051 fma 1 12345678 0.0034567750000000 -> 12345678.00345678 Inexact Rounded
3381fmax362052 fma 1 12345678 0.0004567750000000 -> 12345678.00045678 Inexact Rounded
3382fmax362053 fma 1 12345678 0.0000567750000000 -> 12345678.00005678 Inexact Rounded
3383fmax362054 fma 1 12345678 0.0000067750000000 -> 12345678.00000678 Inexact Rounded
3384fmax362055 fma 1 12345678 0.0000007750000000 -> 12345678.00000078 Inexact Rounded
3385fmax362056 fma 1 12345678 0.0000000750000000 -> 12345678.00000008 Inexact Rounded
3386fmax362057 fma 1 12345678 0.0000000050000000 -> 12345678.00000000 Inexact Rounded
3387fmax362060 fma 1 12345678 0.0234567750000001 -> 12345678.02345678 Inexact Rounded
3388fmax362061 fma 1 12345678 0.0034567750000001 -> 12345678.00345678 Inexact Rounded
3389fmax362062 fma 1 12345678 0.0004567750000001 -> 12345678.00045678 Inexact Rounded
3390fmax362063 fma 1 12345678 0.0000567750000001 -> 12345678.00005678 Inexact Rounded
3391fmax362064 fma 1 12345678 0.0000067750000001 -> 12345678.00000678 Inexact Rounded
3392fmax362065 fma 1 12345678 0.0000007750000001 -> 12345678.00000078 Inexact Rounded
3393fmax362066 fma 1 12345678 0.0000000750000001 -> 12345678.00000008 Inexact Rounded
3394fmax362067 fma 1 12345678 0.0000000050000001 -> 12345678.00000001 Inexact Rounded
3395-- far-out residues (full coefficient gap is 16+15 digits)
3396rounding: up
3397fmax362070 fma 1 12345678 1E-8 -> 12345678.00000001
3398fmax362071 fma 1 12345678 1E-9 -> 12345678.00000001 Inexact Rounded
3399fmax362072 fma 1 12345678 1E-10 -> 12345678.00000001 Inexact Rounded
3400fmax362073 fma 1 12345678 1E-11 -> 12345678.00000001 Inexact Rounded
3401fmax362074 fma 1 12345678 1E-12 -> 12345678.00000001 Inexact Rounded
3402fmax362075 fma 1 12345678 1E-13 -> 12345678.00000001 Inexact Rounded
3403fmax362076 fma 1 12345678 1E-14 -> 12345678.00000001 Inexact Rounded
3404fmax362077 fma 1 12345678 1E-15 -> 12345678.00000001 Inexact Rounded
3405fmax362078 fma 1 12345678 1E-16 -> 12345678.00000001 Inexact Rounded
3406fmax362079 fma 1 12345678 1E-17 -> 12345678.00000001 Inexact Rounded
3407fmax362080 fma 1 12345678 1E-18 -> 12345678.00000001 Inexact Rounded
3408fmax362081 fma 1 12345678 1E-19 -> 12345678.00000001 Inexact Rounded
3409fmax362082 fma 1 12345678 1E-20 -> 12345678.00000001 Inexact Rounded
3410fmax362083 fma 1 12345678 1E-25 -> 12345678.00000001 Inexact Rounded
3411fmax362084 fma 1 12345678 1E-30 -> 12345678.00000001 Inexact Rounded
3412fmax362085 fma 1 12345678 1E-31 -> 12345678.00000001 Inexact Rounded
3413fmax362086 fma 1 12345678 1E-32 -> 12345678.00000001 Inexact Rounded
3414fmax362087 fma 1 12345678 1E-33 -> 12345678.00000001 Inexact Rounded
3415fmax362088 fma 1 12345678 1E-34 -> 12345678.00000001 Inexact Rounded
3416fmax362089 fma 1 12345678 1E-35 -> 12345678.00000001 Inexact Rounded
3417
3418-- payload decapitate x3
3419precision: 5
3420fmax363000 fma 1 1 sNaN1234567890 -> NaN67890 Invalid_operation
3421fmax363001 fma 1 -sNaN1234512345 1 -> -NaN12345 Invalid_operation
3422fmax363002 fma sNaN1234554321 1 1 -> NaN54321 Invalid_operation
3423
3424-- Null tests
3425fmax39990 fma 1 10 # -> NaN Invalid_operation
3426fmax39991 fma 1 # 10 -> NaN Invalid_operation