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1 ------------------------------------------------------------------------
2 -- fma.decTest -- decimal fused multiply add --
3 -- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. --
4 ------------------------------------------------------------------------
5 -- Please see the document "General Decimal Arithmetic Testcases" --
6 -- at http://www2.hursley.ibm.com/decimal for the description of --
7 -- these testcases. --
8 -- --
9 -- These testcases are experimental ('beta' versions), and they --
10 -- may contain errors. They are offered on an as-is basis. In --
11 -- particular, achieving the same results as the tests here is not --
12 -- a guarantee that an implementation complies with any Standard --
13 -- or specification. The tests are not exhaustive. --
14 -- --
15 -- Please send comments, suggestions, and corrections to the author: --
16 -- Mike Cowlishaw, IBM Fellow --
17 -- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK --
18 -- mfc@uk.ibm.com --
19 ------------------------------------------------------------------------
20 version: 2.59
21
22 extended: 1
23 precision: 9
24 rounding: half_up
25 maxExponent: 384
26 minexponent: -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
38 fmax0001 fma 1 1 1 -> 2
39 fmax0002 fma 1 1 2 -> 3
40 fmax0003 fma 2 2 3 -> 7
41 fmax0004 fma 9 9 9 -> 90
42 fmax0005 fma -1 1 1 -> 0
43 fmax0006 fma -1 1 2 -> 1
44 fmax0007 fma -2 2 3 -> -1
45 fmax0008 fma -9 9 9 -> -72
46 fmax0011 fma 1 -1 1 -> 0
47 fmax0012 fma 1 -1 2 -> 1
48 fmax0013 fma 2 -2 3 -> -1
49 fmax0014 fma 9 -9 9 -> -72
50 fmax0015 fma 1 1 -1 -> 0
51 fmax0016 fma 1 1 -2 -> -1
52 fmax0017 fma 2 2 -3 -> 1
53 fmax0018 fma 9 9 -9 -> 72
54 fmax0019 fma 3 5 7 -> 22
55 fmax0029 fma 3 -5 7 -> -8
56
57 -- non-integer exacts
58 fma0100 fma 25.2 63.6 -438 -> 1164.72
59 fma0101 fma 0.301 0.380 334 -> 334.114380
60 fma0102 fma 49.2 -4.8 23.3 -> -212.86
61 fma0103 fma 4.22 0.079 -94.6 -> -94.26662
62 fma0104 fma 903 0.797 0.887 -> 720.578
63 fma0105 fma 6.13 -161 65.9 -> -921.03
64 fma0106 fma 28.2 727 5.45 -> 20506.85
65 fma0107 fma 4 605 688 -> 3108
66 fma0108 fma 93.3 0.19 0.226 -> 17.953
67 fma0109 fma 0.169 -341 5.61 -> -52.019
68 fma0110 fma -72.2 30 -51.2 -> -2217.2
69 fma0111 fma -0.409 13 20.4 -> 15.083
70 fma0112 fma 317 77.0 19.0 -> 24428.0
71 fma0113 fma 47 6.58 1.62 -> 310.88
72 fma0114 fma 1.36 0.984 0.493 -> 1.83124
73 fma0115 fma 72.7 274 1.56 -> 19921.36
74 fma0116 fma 335 847 83 -> 283828
75 fma0117 fma 666 0.247 25.4 -> 189.902
76 fma0118 fma -3.87 3.06 78.0 -> 66.1578
77 fma0119 fma 0.742 192 35.6 -> 178.064
78 fma0120 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
84 fma0201 fma 888565290 1557.96930 -86087.7578 -> 1.38435736E+12 Inexact Rounded
85 -- -85519342.9 735155419 42010431 -> -6.28700084E+16
86 fma0205 fma -85519342.9 735155419 42010431 -> -6.28700083E+16 Inexact Rounded
87 -- -98025.5 -294603.472 10414348.2 -> 2.88890669E+10
88 fma0208 fma -98025.5 -294603.472 10414348.2 -> 2.88890670E+10 Inexact Rounded
89 -- 5967627.39 83526540.6 498494.810 -> 4.98455271E+14
90 fma0211 fma 5967627.39 83526540.6 498494.810 -> 4.98455272E+14 Inexact Rounded
91 -- 3456.9433 874.39518 197866.615 -> 3220601.18
92 fma0216 fma 3456.9433 874.39518 197866.615 -> 3220601.17 Inexact Rounded
93 -- 62769.8287 2096.98927 48.420317 -> 131627705
94 fma0218 fma 62769.8287 2096.98927 48.420317 -> 131627706 Inexact Rounded
95 -- -68.81500 59961113.9 -8988862 -> -4.13521291E+9
96 fma0219 fma -68.81500 59961113.9 -8988862 -> -4.13521292E+9 Inexact Rounded
97 -- 2126341.02 63491.5152 302427455 -> 1.35307040E+11
98 fma0226 fma 2126341.02 63491.5152 302427455 -> 1.35307041E+11 Inexact Rounded
99
100
101 -- Infinite combinations
102 fmax0800 fma Inf Inf Inf -> Infinity
103 fmax0801 fma Inf Inf -Inf -> NaN Invalid_operation
104 fmax0802 fma Inf -Inf Inf -> NaN Invalid_operation
105 fmax0803 fma Inf -Inf -Inf -> -Infinity
106 fmax0804 fma -Inf Inf Inf -> NaN Invalid_operation
107 fmax0805 fma -Inf Inf -Inf -> -Infinity
108 fmax0806 fma -Inf -Inf Inf -> Infinity
109 fmax0807 fma -Inf -Inf -Inf -> NaN Invalid_operation
110 fmax0808 fma -Inf 0 1 -> NaN Invalid_operation
111 fmax0809 fma -Inf 0 NaN -> NaN Invalid_operation
112
113 -- Triple NaN propagation
114 fmax0900 fma NaN2 NaN3 NaN5 -> NaN2
115 fmax0901 fma 0 NaN3 NaN5 -> NaN3
116 fmax0902 fma 0 0 NaN5 -> NaN5
117 -- first sNaN wins (consider qNaN from earlier sNaN being
118 -- overridden by an sNaN in third operand)
119 fmax0903 fma sNaN1 sNaN2 sNaN3 -> NaN1 Invalid_operation
120 fmax0904 fma 0 sNaN2 sNaN3 -> NaN2 Invalid_operation
121 fmax0905 fma 0 0 sNaN3 -> NaN3 Invalid_operation
122 fmax0906 fma sNaN1 sNaN2 sNaN3 -> NaN1 Invalid_operation
123 fmax0907 fma NaN7 sNaN2 sNaN3 -> NaN2 Invalid_operation
124 fmax0908 fma NaN7 NaN5 sNaN3 -> NaN3 Invalid_operation
125
126 -- MULTIPLICATION TESTS ------------------------------------------------
127 -- sanity checks (as base, above)
128 fmax2000 fma 2 2 0E+999999 -> 4
129 fmax2001 fma 2 3 0E+999999 -> 6
130 fmax2002 fma 5 1 0E+999999 -> 5
131 fmax2003 fma 5 2 0E+999999 -> 10
132 fmax2004 fma 1.20 2 0E+999999 -> 2.40
133 fmax2005 fma 1.20 0 0E+999999 -> 0.00
134 fmax2006 fma 1.20 -2 0E+999999 -> -2.40
135 fmax2007 fma -1.20 2 0E+999999 -> -2.40
136 fmax2008 fma -1.20 0 0E+999999 -> 0.00
137 fmax2009 fma -1.20 -2 0E+999999 -> 2.40
138 fmax2010 fma 5.09 7.1 0E+999999 -> 36.139
139 fmax2011 fma 2.5 4 0E+999999 -> 10.0
140 fmax2012 fma 2.50 4 0E+999999 -> 10.00
141 fmax2013 fma 1.23456789 1.00000000 0E+999999 -> 1.23456789 Rounded
142 fmax2014 fma 9.999999999 9.999999999 0E+999999 -> 100.000000 Inexact Rounded
143 fmax2015 fma 2.50 4 0E+999999 -> 10.00
144 precision: 6
145 fmax2016 fma 2.50 4 0E+999999 -> 10.00
146 fmax2017 fma 9.999999 9.999999 0E+999999 -> 100.000 Inexact Rounded
147 fmax2018 fma 9.999999 -9.999999 0E+999999 -> -100.000 Inexact Rounded
148 fmax2019 fma -9.999999 9.999999 0E+999999 -> -100.000 Inexact Rounded
149 fmax2020 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
152 precision: 15
153 fmax2059 fma 999999999999 9765625 0E+999999 -> 9.76562499999023E+18 Inexact Rounded
154 precision: 30
155 fmax2160 fma 999999999999 9765625 0E+999999 -> 9765624999990234375
156 precision: 9
157 -----
158
159 -- zeros, etc.
160 fmax2021 fma 0 0 0E+999999 -> 0
161 fmax2022 fma 0 -0 0E+999999 -> 0
162 fmax2023 fma -0 0 0E+999999 -> 0
163 fmax2024 fma -0 -0 0E+999999 -> 0
164 fmax2025 fma -0.0 -0.0 0E+999999 -> 0.00
165 fmax2026 fma -0.0 -0.0 0E+999999 -> 0.00
166 fmax2027 fma -0.0 -0.0 0E+999999 -> 0.00
167 fmax2028 fma -0.0 -0.0 0E+999999 -> 0.00
168 fmax2030 fma 5.00 1E-3 0E+999999 -> 0.00500
169 fmax2031 fma 00.00 0.000 0E+999999 -> 0.00000
170 fmax2032 fma 00.00 0E-3 0E+999999 -> 0.00000 -- rhs is 0
171 fmax2033 fma 0E-3 00.00 0E+999999 -> 0.00000 -- lhs is 0
172 fmax2034 fma -5.00 1E-3 0E+999999 -> -0.00500
173 fmax2035 fma -00.00 0.000 0E+999999 -> 0.00000
174 fmax2036 fma -00.00 0E-3 0E+999999 -> 0.00000 -- rhs is 0
175 fmax2037 fma -0E-3 00.00 0E+999999 -> 0.00000 -- lhs is 0
176 fmax2038 fma 5.00 -1E-3 0E+999999 -> -0.00500
177 fmax2039 fma 00.00 -0.000 0E+999999 -> 0.00000
178 fmax2040 fma 00.00 -0E-3 0E+999999 -> 0.00000 -- rhs is 0
179 fmax2041 fma 0E-3 -00.00 0E+999999 -> 0.00000 -- lhs is 0
180 fmax2042 fma -5.00 -1E-3 0E+999999 -> 0.00500
181 fmax2043 fma -00.00 -0.000 0E+999999 -> 0.00000
182 fmax2044 fma -00.00 -0E-3 0E+999999 -> 0.00000 -- rhs is 0
183 fmax2045 fma -0E-3 -00.00 0E+999999 -> 0.00000 -- lhs is 0
184
185 -- examples from decarith multiply
186 fmax2050 fma 1.20 3 0E+999999 -> 3.60
187 fmax2051 fma 7 3 0E+999999 -> 21
188 fmax2052 fma 0.9 0.8 0E+999999 -> 0.72
189 fmax2053 fma 0.9 -0 0E+999999 -> 0.0
190 fmax2054 fma 654321 654321 0E+999999 -> 4.28135971E+11 Inexact Rounded
191
192 fmax2060 fma 123.45 1e7 0E+999999 -> 1.2345E+9
193 fmax2061 fma 123.45 1e8 0E+999999 -> 1.2345E+10
194 fmax2062 fma 123.45 1e+9 0E+999999 -> 1.2345E+11
195 fmax2063 fma 123.45 1e10 0E+999999 -> 1.2345E+12
196 fmax2064 fma 123.45 1e11 0E+999999 -> 1.2345E+13
197 fmax2065 fma 123.45 1e12 0E+999999 -> 1.2345E+14
198 fmax2066 fma 123.45 1e13 0E+999999 -> 1.2345E+15
199
200
201 -- test some intermediate lengths
202 precision: 9
203 fmax2080 fma 0.1 123456789 0E+999999 -> 12345678.9
204 fmax2081 fma 0.1 1234567891 0E+999999 -> 123456789 Inexact Rounded
205 fmax2082 fma 0.1 12345678912 0E+999999 -> 1.23456789E+9 Inexact Rounded
206 fmax2083 fma 0.1 12345678912345 0E+999999 -> 1.23456789E+12 Inexact Rounded
207 fmax2084 fma 0.1 123456789 0E+999999 -> 12345678.9
208 precision: 8
209 fmax2085 fma 0.1 12345678912 0E+999999 -> 1.2345679E+9 Inexact Rounded
210 fmax2086 fma 0.1 12345678912345 0E+999999 -> 1.2345679E+12 Inexact Rounded
211 precision: 7
212 fmax2087 fma 0.1 12345678912 0E+999999 -> 1.234568E+9 Inexact Rounded
213 fmax2088 fma 0.1 12345678912345 0E+999999 -> 1.234568E+12 Inexact Rounded
214
215 precision: 9
216 fmax2090 fma 123456789 0.1 0E+999999 -> 12345678.9
217 fmax2091 fma 1234567891 0.1 0E+999999 -> 123456789 Inexact Rounded
218 fmax2092 fma 12345678912 0.1 0E+999999 -> 1.23456789E+9 Inexact Rounded
219 fmax2093 fma 12345678912345 0.1 0E+999999 -> 1.23456789E+12 Inexact Rounded
220 fmax2094 fma 123456789 0.1 0E+999999 -> 12345678.9
221 precision: 8
222 fmax2095 fma 12345678912 0.1 0E+999999 -> 1.2345679E+9 Inexact Rounded
223 fmax2096 fma 12345678912345 0.1 0E+999999 -> 1.2345679E+12 Inexact Rounded
224 precision: 7
225 fmax2097 fma 12345678912 0.1 0E+999999 -> 1.234568E+9 Inexact Rounded
226 fmax2098 fma 12345678912345 0.1 0E+999999 -> 1.234568E+12 Inexact Rounded
227
228 -- test some more edge cases and carries
229 maxexponent: 9999
230 minexponent: -9999
231 precision: 33
232 fmax2101 fma 9 9 0E+999999 -> 81
233 fmax2102 fma 9 90 0E+999999 -> 810
234 fmax2103 fma 9 900 0E+999999 -> 8100
235 fmax2104 fma 9 9000 0E+999999 -> 81000
236 fmax2105 fma 9 90000 0E+999999 -> 810000
237 fmax2106 fma 9 900000 0E+999999 -> 8100000
238 fmax2107 fma 9 9000000 0E+999999 -> 81000000
239 fmax2108 fma 9 90000000 0E+999999 -> 810000000
240 fmax2109 fma 9 900000000 0E+999999 -> 8100000000
241 fmax2110 fma 9 9000000000 0E+999999 -> 81000000000
242 fmax2111 fma 9 90000000000 0E+999999 -> 810000000000
243 fmax2112 fma 9 900000000000 0E+999999 -> 8100000000000
244 fmax2113 fma 9 9000000000000 0E+999999 -> 81000000000000
245 fmax2114 fma 9 90000000000000 0E+999999 -> 810000000000000
246 fmax2115 fma 9 900000000000000 0E+999999 -> 8100000000000000
247 fmax2116 fma 9 9000000000000000 0E+999999 -> 81000000000000000
248 fmax2117 fma 9 90000000000000000 0E+999999 -> 810000000000000000
249 fmax2118 fma 9 900000000000000000 0E+999999 -> 8100000000000000000
250 fmax2119 fma 9 9000000000000000000 0E+999999 -> 81000000000000000000
251 fmax2120 fma 9 90000000000000000000 0E+999999 -> 810000000000000000000
252 fmax2121 fma 9 900000000000000000000 0E+999999 -> 8100000000000000000000
253 fmax2122 fma 9 9000000000000000000000 0E+999999 -> 81000000000000000000000
254 fmax2123 fma 9 90000000000000000000000 0E+999999 -> 810000000000000000000000
255 -- test some more edge cases without carries
256 fmax2131 fma 3 3 0E+999999 -> 9
257 fmax2132 fma 3 30 0E+999999 -> 90
258 fmax2133 fma 3 300 0E+999999 -> 900
259 fmax2134 fma 3 3000 0E+999999 -> 9000
260 fmax2135 fma 3 30000 0E+999999 -> 90000
261 fmax2136 fma 3 300000 0E+999999 -> 900000
262 fmax2137 fma 3 3000000 0E+999999 -> 9000000
263 fmax2138 fma 3 30000000 0E+999999 -> 90000000
264 fmax2139 fma 3 300000000 0E+999999 -> 900000000
265 fmax2140 fma 3 3000000000 0E+999999 -> 9000000000
266 fmax2141 fma 3 30000000000 0E+999999 -> 90000000000
267 fmax2142 fma 3 300000000000 0E+999999 -> 900000000000
268 fmax2143 fma 3 3000000000000 0E+999999 -> 9000000000000
269 fmax2144 fma 3 30000000000000 0E+999999 -> 90000000000000
270 fmax2145 fma 3 300000000000000 0E+999999 -> 900000000000000
271 fmax2146 fma 3 3000000000000000 0E+999999 -> 9000000000000000
272 fmax2147 fma 3 30000000000000000 0E+999999 -> 90000000000000000
273 fmax2148 fma 3 300000000000000000 0E+999999 -> 900000000000000000
274 fmax2149 fma 3 3000000000000000000 0E+999999 -> 9000000000000000000
275 fmax2150 fma 3 30000000000000000000 0E+999999 -> 90000000000000000000
276 fmax2151 fma 3 300000000000000000000 0E+999999 -> 900000000000000000000
277 fmax2152 fma 3 3000000000000000000000 0E+999999 -> 9000000000000000000000
278 fmax2153 fma 3 30000000000000000000000 0E+999999 -> 90000000000000000000000
279
280 maxexponent: 999999
281 minexponent: -999999
282 precision: 9
283 -- test some cases that are close to exponent overflow/underflow
284 fmax2170 fma 1 9e999999 0E+999999 -> 9E+999999
285 fmax2171 fma 1 9.9e999999 0E+999999 -> 9.9E+999999
286 fmax2172 fma 1 9.99e999999 0E+999999 -> 9.99E+999999
287 fmax2173 fma 9e999999 1 0E+999999 -> 9E+999999
288 fmax2174 fma 9.9e999999 1 0E+999999 -> 9.9E+999999
289 fmax2176 fma 9.99e999999 1 0E+999999 -> 9.99E+999999
290 fmax2177 fma 1 9.99999e999999 0E+999999 -> 9.99999E+999999
291 fmax2178 fma 9.99999e999999 1 0E+999999 -> 9.99999E+999999
292
293 fmax2180 fma 0.1 9e-999998 0E+999999 -> 9E-999999
294 fmax2181 fma 0.1 99e-999998 0E+999999 -> 9.9E-999998
295 fmax2182 fma 0.1 999e-999998 0E+999999 -> 9.99E-999997
296
297 fmax2183 fma 0.1 9e-999998 0E+999999 -> 9E-999999
298 fmax2184 fma 0.1 99e-999998 0E+999999 -> 9.9E-999998
299 fmax2185 fma 0.1 999e-999998 0E+999999 -> 9.99E-999997
300 fmax2186 fma 0.1 999e-999997 0E+999999 -> 9.99E-999996
301 fmax2187 fma 0.1 9999e-999997 0E+999999 -> 9.999E-999995
302 fmax2188 fma 0.1 99999e-999997 0E+999999 -> 9.9999E-999994
303
304 fmax2190 fma 1 9e-999998 0E+999999 -> 9E-999998
305 fmax2191 fma 1 99e-999998 0E+999999 -> 9.9E-999997
306 fmax2192 fma 1 999e-999998 0E+999999 -> 9.99E-999996
307 fmax2193 fma 9e-999998 1 0E+999999 -> 9E-999998
308 fmax2194 fma 99e-999998 1 0E+999999 -> 9.9E-999997
309 fmax2195 fma 999e-999998 1 0E+999999 -> 9.99E-999996
310
311 -- long operand triangle
312 precision: 33
313 fmax2246 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.290801193369671916511992830 Inexact Rounded
314 precision: 32
315 fmax2247 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.29080119336967191651199283 Inexact Rounded
316 precision: 31
317 fmax2248 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.2908011933696719165119928 Inexact Rounded
318 precision: 30
319 fmax2249 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.290801193369671916511993 Inexact Rounded
320 precision: 29
321 fmax2250 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.29080119336967191651199 Inexact Rounded
322 precision: 28
323 fmax2251 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.2908011933696719165120 Inexact Rounded
324 precision: 27
325 fmax2252 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.290801193369671916512 Inexact Rounded
326 precision: 26
327 fmax2253 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.29080119336967191651 Inexact Rounded
328 precision: 25
329 fmax2254 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.2908011933696719165 Inexact Rounded
330 precision: 24
331 fmax2255 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.290801193369671917 Inexact Rounded
332 precision: 23
333 fmax2256 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.29080119336967192 Inexact Rounded
334 precision: 22
335 fmax2257 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.2908011933696719 Inexact Rounded
336 precision: 21
337 fmax2258 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.290801193369672 Inexact Rounded
338 precision: 20
339 fmax2259 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.29080119336967 Inexact Rounded
340 precision: 19
341 fmax2260 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.2908011933697 Inexact Rounded
342 precision: 18
343 fmax2261 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.290801193370 Inexact Rounded
344 precision: 17
345 fmax2262 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.29080119337 Inexact Rounded
346 precision: 16
347 fmax2263 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.2908011934 Inexact Rounded
348 precision: 15
349 fmax2264 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.290801193 Inexact Rounded
350 precision: 14
351 fmax2265 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.29080119 Inexact Rounded
352 precision: 13
353 fmax2266 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.2908012 Inexact Rounded
354 precision: 12
355 fmax2267 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.290801 Inexact Rounded
356 precision: 11
357 fmax2268 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.29080 Inexact Rounded
358 precision: 10
359 fmax2269 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.2908 Inexact Rounded
360 precision: 9
361 fmax2270 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.291 Inexact Rounded
362 precision: 8
363 fmax2271 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.29 Inexact Rounded
364 precision: 7
365 fmax2272 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433.3 Inexact Rounded
366 precision: 6
367 fmax2273 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 145433 Inexact Rounded
368 precision: 5
369 fmax2274 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 1.4543E+5 Inexact Rounded
370 precision: 4
371 fmax2275 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 1.454E+5 Inexact Rounded
372 precision: 3
373 fmax2276 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 1.45E+5 Inexact Rounded
374 precision: 2
375 fmax2277 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 1.5E+5 Inexact Rounded
376 precision: 1
377 fmax2278 fma 30269.587755640502150977251770554 4.8046009735990873395936309640543 0E+999999 -> 1E+5 Inexact Rounded
378
379 -- test some edge cases with exact rounding
380 maxexponent: 9999
381 minexponent: -9999
382 precision: 9
383 fmax2301 fma 9 9 0E+999999 -> 81
384 fmax2302 fma 9 90 0E+999999 -> 810
385 fmax2303 fma 9 900 0E+999999 -> 8100
386 fmax2304 fma 9 9000 0E+999999 -> 81000
387 fmax2305 fma 9 90000 0E+999999 -> 810000
388 fmax2306 fma 9 900000 0E+999999 -> 8100000
389 fmax2307 fma 9 9000000 0E+999999 -> 81000000
390 fmax2308 fma 9 90000000 0E+999999 -> 810000000
391 fmax2309 fma 9 900000000 0E+999999 -> 8.10000000E+9 Rounded
392 fmax2310 fma 9 9000000000 0E+999999 -> 8.10000000E+10 Rounded
393 fmax2311 fma 9 90000000000 0E+999999 -> 8.10000000E+11 Rounded
394 fmax2312 fma 9 900000000000 0E+999999 -> 8.10000000E+12 Rounded
395 fmax2313 fma 9 9000000000000 0E+999999 -> 8.10000000E+13 Rounded
396 fmax2314 fma 9 90000000000000 0E+999999 -> 8.10000000E+14 Rounded
397 fmax2315 fma 9 900000000000000 0E+999999 -> 8.10000000E+15 Rounded
398 fmax2316 fma 9 9000000000000000 0E+999999 -> 8.10000000E+16 Rounded
399 fmax2317 fma 9 90000000000000000 0E+999999 -> 8.10000000E+17 Rounded
400 fmax2318 fma 9 900000000000000000 0E+999999 -> 8.10000000E+18 Rounded
401 fmax2319 fma 9 9000000000000000000 0E+999999 -> 8.10000000E+19 Rounded
402 fmax2320 fma 9 90000000000000000000 0E+999999 -> 8.10000000E+20 Rounded
403 fmax2321 fma 9 900000000000000000000 0E+999999 -> 8.10000000E+21 Rounded
404 fmax2322 fma 9 9000000000000000000000 0E+999999 -> 8.10000000E+22 Rounded
405 fmax2323 fma 9 90000000000000000000000 0E+999999 -> 8.10000000E+23 Rounded
406
407 -- fastpath breakers
408 precision: 29
409 fmax2330 fma 1.491824697641270317824852952837224 1.105170918075647624811707826490246514675628614562883537345747603 0E+999999 -> 1.6487212707001281468486507878 Inexact Rounded
410 precision: 55
411 fmax2331 fma 0.8958341352965282506768545828765117803873717284891040428 0.8958341352965282506768545828765117803873717284891040428 0E+999999 -> 0.8025187979624784829842553829934069955890983696752228299 Inexact Rounded
412
413
414 -- tryzeros cases
415 precision: 7
416 rounding: half_up
417 maxExponent: 92
418 minexponent: -92
419 fmax2504 fma 0E-60 1000E-60 0E+999999 -> 0E-98 Clamped
420 fmax2505 fma 100E+60 0E+60 0E+999999 -> 0E+92 Clamped
421
422 -- mixed with zeros
423 maxexponent: 999999
424 minexponent: -999999
425 precision: 9
426 fmax2541 fma 0 -1 0E+999999 -> 0
427 fmax2542 fma -0 -1 0E+999999 -> 0
428 fmax2543 fma 0 1 0E+999999 -> 0
429 fmax2544 fma -0 1 0E+999999 -> 0
430 fmax2545 fma -1 0 0E+999999 -> 0
431 fmax2546 fma -1 -0 0E+999999 -> 0
432 fmax2547 fma 1 0 0E+999999 -> 0
433 fmax2548 fma 1 -0 0E+999999 -> 0
434
435 fmax2551 fma 0.0 -1 0E+999999 -> 0.0
436 fmax2552 fma -0.0 -1 0E+999999 -> 0.0
437 fmax2553 fma 0.0 1 0E+999999 -> 0.0
438 fmax2554 fma -0.0 1 0E+999999 -> 0.0
439 fmax2555 fma -1.0 0 0E+999999 -> 0.0
440 fmax2556 fma -1.0 -0 0E+999999 -> 0.0
441 fmax2557 fma 1.0 0 0E+999999 -> 0.0
442 fmax2558 fma 1.0 -0 0E+999999 -> 0.0
443
444 fmax2561 fma 0 -1.0 0E+999999 -> 0.0
445 fmax2562 fma -0 -1.0 0E+999999 -> 0.0
446 fmax2563 fma 0 1.0 0E+999999 -> 0.0
447 fmax2564 fma -0 1.0 0E+999999 -> 0.0
448 fmax2565 fma -1 0.0 0E+999999 -> 0.0
449 fmax2566 fma -1 -0.0 0E+999999 -> 0.0
450 fmax2567 fma 1 0.0 0E+999999 -> 0.0
451 fmax2568 fma 1 -0.0 0E+999999 -> 0.0
452
453 fmax2571 fma 0.0 -1.0 0E+999999 -> 0.00
454 fmax2572 fma -0.0 -1.0 0E+999999 -> 0.00
455 fmax2573 fma 0.0 1.0 0E+999999 -> 0.00
456 fmax2574 fma -0.0 1.0 0E+999999 -> 0.00
457 fmax2575 fma -1.0 0.0 0E+999999 -> 0.00
458 fmax2576 fma -1.0 -0.0 0E+999999 -> 0.00
459 fmax2577 fma 1.0 0.0 0E+999999 -> 0.00
460 fmax2578 fma 1.0 -0.0 0E+999999 -> 0.00
461
462
463 -- Specials
464 fmax2580 fma Inf -Inf 0E+999999 -> -Infinity
465 fmax2581 fma Inf -1000 0E+999999 -> -Infinity
466 fmax2582 fma Inf -1 0E+999999 -> -Infinity
467 fmax2583 fma Inf -0 0E+999999 -> NaN Invalid_operation
468 fmax2584 fma Inf 0 0E+999999 -> NaN Invalid_operation
469 fmax2585 fma Inf 1 0E+999999 -> Infinity
470 fmax2586 fma Inf 1000 0E+999999 -> Infinity
471 fmax2587 fma Inf Inf 0E+999999 -> Infinity
472 fmax2588 fma -1000 Inf 0E+999999 -> -Infinity
473 fmax2589 fma -Inf Inf 0E+999999 -> -Infinity
474 fmax2590 fma -1 Inf 0E+999999 -> -Infinity
475 fmax2591 fma -0 Inf 0E+999999 -> NaN Invalid_operation
476 fmax2592 fma 0 Inf 0E+999999 -> NaN Invalid_operation
477 fmax2593 fma 1 Inf 0E+999999 -> Infinity
478 fmax2594 fma 1000 Inf 0E+999999 -> Infinity
479 fmax2595 fma Inf Inf 0E+999999 -> Infinity
480
481 fmax2600 fma -Inf -Inf 0E+999999 -> Infinity
482 fmax2601 fma -Inf -1000 0E+999999 -> Infinity
483 fmax2602 fma -Inf -1 0E+999999 -> Infinity
484 fmax2603 fma -Inf -0 0E+999999 -> NaN Invalid_operation
485 fmax2604 fma -Inf 0 0E+999999 -> NaN Invalid_operation
486 fmax2605 fma -Inf 1 0E+999999 -> -Infinity
487 fmax2606 fma -Inf 1000 0E+999999 -> -Infinity
488 fmax2607 fma -Inf Inf 0E+999999 -> -Infinity
489 fmax2608 fma -1000 Inf 0E+999999 -> -Infinity
490 fmax2609 fma -Inf -Inf 0E+999999 -> Infinity
491 fmax2610 fma -1 -Inf 0E+999999 -> Infinity
492 fmax2611 fma -0 -Inf 0E+999999 -> NaN Invalid_operation
493 fmax2612 fma 0 -Inf 0E+999999 -> NaN Invalid_operation
494 fmax2613 fma 1 -Inf 0E+999999 -> -Infinity
495 fmax2614 fma 1000 -Inf 0E+999999 -> -Infinity
496 fmax2615 fma Inf -Inf 0E+999999 -> -Infinity
497
498 fmax2621 fma NaN -Inf 0E+999999 -> NaN
499 fmax2622 fma NaN -1000 0E+999999 -> NaN
500 fmax2623 fma NaN -1 0E+999999 -> NaN
501 fmax2624 fma NaN -0 0E+999999 -> NaN
502 fmax2625 fma NaN 0 0E+999999 -> NaN
503 fmax2626 fma NaN 1 0E+999999 -> NaN
504 fmax2627 fma NaN 1000 0E+999999 -> NaN
505 fmax2628 fma NaN Inf 0E+999999 -> NaN
506 fmax2629 fma NaN NaN 0E+999999 -> NaN
507 fmax2630 fma -Inf NaN 0E+999999 -> NaN
508 fmax2631 fma -1000 NaN 0E+999999 -> NaN
509 fmax2632 fma -1 NaN 0E+999999 -> NaN
510 fmax2633 fma -0 NaN 0E+999999 -> NaN
511 fmax2634 fma 0 NaN 0E+999999 -> NaN
512 fmax2635 fma 1 NaN 0E+999999 -> NaN
513 fmax2636 fma 1000 NaN 0E+999999 -> NaN
514 fmax2637 fma Inf NaN 0E+999999 -> NaN
515
516 fmax2641 fma sNaN -Inf 0E+999999 -> NaN Invalid_operation
517 fmax2642 fma sNaN -1000 0E+999999 -> NaN Invalid_operation
518 fmax2643 fma sNaN -1 0E+999999 -> NaN Invalid_operation
519 fmax2644 fma sNaN -0 0E+999999 -> NaN Invalid_operation
520 fmax2645 fma sNaN 0 0E+999999 -> NaN Invalid_operation
521 fmax2646 fma sNaN 1 0E+999999 -> NaN Invalid_operation
522 fmax2647 fma sNaN 1000 0E+999999 -> NaN Invalid_operation
523 fmax2648 fma sNaN NaN 0E+999999 -> NaN Invalid_operation
524 fmax2649 fma sNaN sNaN 0E+999999 -> NaN Invalid_operation
525 fmax2650 fma NaN sNaN 0E+999999 -> NaN Invalid_operation
526 fmax2651 fma -Inf sNaN 0E+999999 -> NaN Invalid_operation
527 fmax2652 fma -1000 sNaN 0E+999999 -> NaN Invalid_operation
528 fmax2653 fma -1 sNaN 0E+999999 -> NaN Invalid_operation
529 fmax2654 fma -0 sNaN 0E+999999 -> NaN Invalid_operation
530 fmax2655 fma 0 sNaN 0E+999999 -> NaN Invalid_operation
531 fmax2656 fma 1 sNaN 0E+999999 -> NaN Invalid_operation
532 fmax2657 fma 1000 sNaN 0E+999999 -> NaN Invalid_operation
533 fmax2658 fma Inf sNaN 0E+999999 -> NaN Invalid_operation
534 fmax2659 fma NaN sNaN 0E+999999 -> NaN Invalid_operation
535
536 -- propagating NaNs
537 fmax2661 fma NaN9 -Inf 0E+999999 -> NaN9
538 fmax2662 fma NaN8 999 0E+999999 -> NaN8
539 fmax2663 fma NaN71 Inf 0E+999999 -> NaN71
540 fmax2664 fma NaN6 NaN5 0E+999999 -> NaN6
541 fmax2665 fma -Inf NaN4 0E+999999 -> NaN4
542 fmax2666 fma -999 NaN33 0E+999999 -> NaN33
543 fmax2667 fma Inf NaN2 0E+999999 -> NaN2
544
545 fmax2671 fma sNaN99 -Inf 0E+999999 -> NaN99 Invalid_operation
546 fmax2672 fma sNaN98 -11 0E+999999 -> NaN98 Invalid_operation
547 fmax2673 fma sNaN97 NaN 0E+999999 -> NaN97 Invalid_operation
548 fmax2674 fma sNaN16 sNaN94 0E+999999 -> NaN16 Invalid_operation
549 fmax2675 fma NaN95 sNaN93 0E+999999 -> NaN93 Invalid_operation
550 fmax2676 fma -Inf sNaN92 0E+999999 -> NaN92 Invalid_operation
551 fmax2677 fma 088 sNaN91 0E+999999 -> NaN91 Invalid_operation
552 fmax2678 fma Inf sNaN90 0E+999999 -> NaN90 Invalid_operation
553 fmax2679 fma NaN sNaN89 0E+999999 -> NaN89 Invalid_operation
554
555 fmax2681 fma -NaN9 -Inf 0E+999999 -> -NaN9
556 fmax2682 fma -NaN8 999 0E+999999 -> -NaN8
557 fmax2683 fma -NaN71 Inf 0E+999999 -> -NaN71
558 fmax2684 fma -NaN6 -NaN5 0E+999999 -> -NaN6
559 fmax2685 fma -Inf -NaN4 0E+999999 -> -NaN4
560 fmax2686 fma -999 -NaN33 0E+999999 -> -NaN33
561 fmax2687 fma Inf -NaN2 0E+999999 -> -NaN2
562
563 fmax2691 fma -sNaN99 -Inf 0E+999999 -> -NaN99 Invalid_operation
564 fmax2692 fma -sNaN98 -11 0E+999999 -> -NaN98 Invalid_operation
565 fmax2693 fma -sNaN97 NaN 0E+999999 -> -NaN97 Invalid_operation
566 fmax2694 fma -sNaN16 -sNaN94 0E+999999 -> -NaN16 Invalid_operation
567 fmax2695 fma -NaN95 -sNaN93 0E+999999 -> -NaN93 Invalid_operation
568 fmax2696 fma -Inf -sNaN92 0E+999999 -> -NaN92 Invalid_operation
569 fmax2697 fma 088 -sNaN91 0E+999999 -> -NaN91 Invalid_operation
570 fmax2698 fma Inf -sNaN90 0E+999999 -> -NaN90 Invalid_operation
571 fmax2699 fma -NaN -sNaN89 0E+999999 -> -NaN89 Invalid_operation
572
573 fmax2701 fma -NaN -Inf 0E+999999 -> -NaN
574 fmax2702 fma -NaN 999 0E+999999 -> -NaN
575 fmax2703 fma -NaN Inf 0E+999999 -> -NaN
576 fmax2704 fma -NaN -NaN 0E+999999 -> -NaN
577 fmax2705 fma -Inf -NaN0 0E+999999 -> -NaN
578 fmax2706 fma -999 -NaN 0E+999999 -> -NaN
579 fmax2707 fma Inf -NaN 0E+999999 -> -NaN
580
581 fmax2711 fma -sNaN -Inf 0E+999999 -> -NaN Invalid_operation
582 fmax2712 fma -sNaN -11 0E+999999 -> -NaN Invalid_operation
583 fmax2713 fma -sNaN00 NaN 0E+999999 -> -NaN Invalid_operation
584 fmax2714 fma -sNaN -sNaN 0E+999999 -> -NaN Invalid_operation
585 fmax2715 fma -NaN -sNaN 0E+999999 -> -NaN Invalid_operation
586 fmax2716 fma -Inf -sNaN 0E+999999 -> -NaN Invalid_operation
587 fmax2717 fma 088 -sNaN 0E+999999 -> -NaN Invalid_operation
588 fmax2718 fma Inf -sNaN 0E+999999 -> -NaN Invalid_operation
589 fmax2719 fma -NaN -sNaN 0E+999999 -> -NaN Invalid_operation
590
591 -- overflow and underflow tests .. note subnormal results
592 maxexponent: 999999
593 minexponent: -999999
594 fmax2730 fma +1.23456789012345E-0 9E+999999 0E+999999 -> Infinity Inexact Overflow Rounded
595 fmax2731 fma 9E+999999 +1.23456789012345E-0 0E+999999 -> Infinity Inexact Overflow Rounded
596 fmax2732 fma +0.100 9E-999999 0E+999999 -> 9.00E-1000000 Subnormal
597 fmax2733 fma 9E-999999 +0.100 0E+999999 -> 9.00E-1000000 Subnormal
598 fmax2735 fma -1.23456789012345E-0 9E+999999 0E+999999 -> -Infinity Inexact Overflow Rounded
599 fmax2736 fma 9E+999999 -1.23456789012345E-0 0E+999999 -> -Infinity Inexact Overflow Rounded
600 fmax2737 fma -0.100 9E-999999 0E+999999 -> -9.00E-1000000 Subnormal
601 fmax2738 fma 9E-999999 -0.100 0E+999999 -> -9.00E-1000000 Subnormal
602
603 -- signs
604 fmax2751 fma 1e+777777 1e+411111 0E+999999 -> Infinity Overflow Inexact Rounded
605 fmax2752 fma 1e+777777 -1e+411111 0E+999999 -> -Infinity Overflow Inexact Rounded
606 fmax2753 fma -1e+777777 1e+411111 0E+999999 -> -Infinity Overflow Inexact Rounded
607 fmax2754 fma -1e+777777 -1e+411111 0E+999999 -> Infinity Overflow Inexact Rounded
608 fmax2755 fma 1e-777777 1e-411111 0E+999999 -> 0E-1000007 Underflow Subnormal Inexact Rounded Clamped
609 fmax2756 fma 1e-777777 -1e-411111 0E+999999 -> -0E-1000007 Underflow Subnormal Inexact Rounded Clamped
610 fmax2757 fma -1e-777777 1e-411111 0E+999999 -> -0E-1000007 Underflow Subnormal Inexact Rounded Clamped
611 fmax2758 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)
614 precision: 9
615 fmax2760 fma 1e-600000 1e-400001 0E+999999 -> 1E-1000001 Subnormal
616 fmax2761 fma 1e-600000 1e-400002 0E+999999 -> 1E-1000002 Subnormal
617 fmax2762 fma 1e-600000 1e-400003 0E+999999 -> 1E-1000003 Subnormal
618 fmax2763 fma 1e-600000 1e-400004 0E+999999 -> 1E-1000004 Subnormal
619 fmax2764 fma 1e-600000 1e-400005 0E+999999 -> 1E-1000005 Subnormal
620 fmax2765 fma 1e-600000 1e-400006 0E+999999 -> 1E-1000006 Subnormal
621 fmax2766 fma 1e-600000 1e-400007 0E+999999 -> 1E-1000007 Subnormal
622 fmax2767 fma 1e-600000 1e-400008 0E+999999 -> 0E-1000007 Underflow Subnormal Inexact Rounded Clamped
623 fmax2768 fma 1e-600000 1e-400009 0E+999999 -> 0E-1000007 Underflow Subnormal Inexact Rounded Clamped
624 fmax2769 fma 1e-600000 1e-400010 0E+999999 -> 0E-1000007 Underflow Subnormal Inexact Rounded Clamped
625 -- [no equivalent of 'subnormal' for overflow]
626 fmax2770 fma 1e+600000 1e+400001 0E+999999 -> Infinity Overflow Inexact Rounded
627 fmax2771 fma 1e+600000 1e+400002 0E+999999 -> Infinity Overflow Inexact Rounded
628 fmax2772 fma 1e+600000 1e+400003 0E+999999 -> Infinity Overflow Inexact Rounded
629 fmax2773 fma 1e+600000 1e+400004 0E+999999 -> Infinity Overflow Inexact Rounded
630 fmax2774 fma 1e+600000 1e+400005 0E+999999 -> Infinity Overflow Inexact Rounded
631 fmax2775 fma 1e+600000 1e+400006 0E+999999 -> Infinity Overflow Inexact Rounded
632 fmax2776 fma 1e+600000 1e+400007 0E+999999 -> Infinity Overflow Inexact Rounded
633 fmax2777 fma 1e+600000 1e+400008 0E+999999 -> Infinity Overflow Inexact Rounded
634 fmax2778 fma 1e+600000 1e+400009 0E+999999 -> Infinity Overflow Inexact Rounded
635 fmax2779 fma 1e+600000 1e+400010 0E+999999 -> Infinity Overflow Inexact Rounded
636
637 -- 'subnormal' test edge condition at higher precisions
638 precision: 99
639 fmax2780 fma 1e-600000 1e-400007 0E+999999 -> 1E-1000007 Subnormal
640 fmax2781 fma 1e-600000 1e-400008 0E+999999 -> 1E-1000008 Subnormal
641 fmax2782 fma 1e-600000 1e-400097 0E+999999 -> 1E-1000097 Subnormal
642 fmax2783 fma 1e-600000 1e-400098 0E+999999 -> 0E-1000097 Underflow Subnormal Inexact Rounded Clamped
643 precision: 999
644 fmax2784 fma 1e-600000 1e-400997 0E+999999 -> 1E-1000997 Subnormal
645 fmax2785 fma 1e-600000 1e-400998 0E+999999 -> 0E-1000997 Underflow Subnormal Inexact Rounded Clamped
646
647 -- test subnormals rounding
648 precision: 5
649 maxExponent: 999
650 minexponent: -999
651 rounding: half_even
652
653 fmax2801 fma 1.0000E-999 1 0E+999999 -> 1.0000E-999
654 fmax2802 fma 1.000E-999 1e-1 0E+999999 -> 1.000E-1000 Subnormal
655 fmax2803 fma 1.00E-999 1e-2 0E+999999 -> 1.00E-1001 Subnormal
656 fmax2804 fma 1.0E-999 1e-3 0E+999999 -> 1.0E-1002 Subnormal
657 fmax2805 fma 1.0E-999 1e-4 0E+999999 -> 1E-1003 Subnormal Rounded
658 fmax2806 fma 1.3E-999 1e-4 0E+999999 -> 1E-1003 Underflow Subnormal Inexact Rounded
659 fmax2807 fma 1.5E-999 1e-4 0E+999999 -> 2E-1003 Underflow Subnormal Inexact Rounded
660 fmax2808 fma 1.7E-999 1e-4 0E+999999 -> 2E-1003 Underflow Subnormal Inexact Rounded
661 fmax2809 fma 2.3E-999 1e-4 0E+999999 -> 2E-1003 Underflow Subnormal Inexact Rounded
662 fmax2810 fma 2.5E-999 1e-4 0E+999999 -> 2E-1003 Underflow Subnormal Inexact Rounded
663 fmax2811 fma 2.7E-999 1e-4 0E+999999 -> 3E-1003 Underflow Subnormal Inexact Rounded
664 fmax2812 fma 1.49E-999 1e-4 0E+999999 -> 1E-1003 Underflow Subnormal Inexact Rounded
665 fmax2813 fma 1.50E-999 1e-4 0E+999999 -> 2E-1003 Underflow Subnormal Inexact Rounded
666 fmax2814 fma 1.51E-999 1e-4 0E+999999 -> 2E-1003 Underflow Subnormal Inexact Rounded
667 fmax2815 fma 2.49E-999 1e-4 0E+999999 -> 2E-1003 Underflow Subnormal Inexact Rounded
668 fmax2816 fma 2.50E-999 1e-4 0E+999999 -> 2E-1003 Underflow Subnormal Inexact Rounded
669 fmax2817 fma 2.51E-999 1e-4 0E+999999 -> 3E-1003 Underflow Subnormal Inexact Rounded
670
671 fmax2818 fma 1E-999 1e-4 0E+999999 -> 1E-1003 Subnormal
672 fmax2819 fma 3E-999 1e-5 0E+999999 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped
673 fmax2820 fma 5E-999 1e-5 0E+999999 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped
674 fmax2821 fma 7E-999 1e-5 0E+999999 -> 1E-1003 Underflow Subnormal Inexact Rounded
675 fmax2822 fma 9E-999 1e-5 0E+999999 -> 1E-1003 Underflow Subnormal Inexact Rounded
676 fmax2823 fma 9.9E-999 1e-5 0E+999999 -> 1E-1003 Underflow Subnormal Inexact Rounded
677
678 fmax2824 fma 1E-999 -1e-4 0E+999999 -> -1E-1003 Subnormal
679 fmax2825 fma 3E-999 -1e-5 0E+999999 -> -0E-1003 Underflow Subnormal Inexact Rounded Clamped
680 fmax2826 fma -5E-999 1e-5 0E+999999 -> -0E-1003 Underflow Subnormal Inexact Rounded Clamped
681 fmax2827 fma 7E-999 -1e-5 0E+999999 -> -1E-1003 Underflow Subnormal Inexact Rounded
682 fmax2828 fma -9E-999 1e-5 0E+999999 -> -1E-1003 Underflow Subnormal Inexact Rounded
683 fmax2829 fma 9.9E-999 -1e-5 0E+999999 -> -1E-1003 Underflow Subnormal Inexact Rounded
684 fmax2830 fma 3.0E-999 -1e-5 0E+999999 -> -0E-1003 Underflow Subnormal Inexact Rounded Clamped
685
686 fmax2831 fma 1.0E-501 1e-501 0E+999999 -> 1.0E-1002 Subnormal
687 fmax2832 fma 2.0E-501 2e-501 0E+999999 -> 4.0E-1002 Subnormal
688 fmax2833 fma 4.0E-501 4e-501 0E+999999 -> 1.60E-1001 Subnormal
689 fmax2834 fma 10.0E-501 10e-501 0E+999999 -> 1.000E-1000 Subnormal
690 fmax2835 fma 30.0E-501 30e-501 0E+999999 -> 9.000E-1000 Subnormal
691 fmax2836 fma 40.0E-501 40e-501 0E+999999 -> 1.6000E-999
692
693 -- squares
694 fmax2840 fma 1E-502 1e-502 0E+999999 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped
695 fmax2841 fma 1E-501 1e-501 0E+999999 -> 1E-1002 Subnormal
696 fmax2842 fma 2E-501 2e-501 0E+999999 -> 4E-1002 Subnormal
697 fmax2843 fma 4E-501 4e-501 0E+999999 -> 1.6E-1001 Subnormal
698 fmax2844 fma 10E-501 10e-501 0E+999999 -> 1.00E-1000 Subnormal
699 fmax2845 fma 30E-501 30e-501 0E+999999 -> 9.00E-1000 Subnormal
700 fmax2846 fma 40E-501 40e-501 0E+999999 -> 1.600E-999
701
702 -- cubes
703 fmax2850 fma 1E-670 1e-335 0E+999999 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped
704 fmax2851 fma 1E-668 1e-334 0E+999999 -> 1E-1002 Subnormal
705 fmax2852 fma 4E-668 2e-334 0E+999999 -> 8E-1002 Subnormal
706 fmax2853 fma 9E-668 3e-334 0E+999999 -> 2.7E-1001 Subnormal
707 fmax2854 fma 16E-668 4e-334 0E+999999 -> 6.4E-1001 Subnormal
708 fmax2855 fma 25E-668 5e-334 0E+999999 -> 1.25E-1000 Subnormal
709 fmax2856 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
712 precision: 19
713 fmax2860 fma 6636851557994578716E-520 6636851557994578716E-520 0E+999999 -> 4.40477986028551E-1003 Underflow Subnormal Inexact Rounded
714
715 -- Long operand overflow may be a different path
716 precision: 3
717 maxExponent: 999999
718 minexponent: -999999
719 fmax2870 fma 1 9.999E+999999 0E+999999 -> Infinity Inexact Overflow Rounded
720 fmax2871 fma 1 -9.999E+999999 0E+999999 -> -Infinity Inexact Overflow Rounded
721 fmax2872 fma 9.999E+999999 1 0E+999999 -> Infinity Inexact Overflow Rounded
722 fmax2873 fma -9.999E+999999 1 0E+999999 -> -Infinity Inexact Overflow Rounded
723
724 -- check for double-rounded subnormals
725 precision: 5
726 maxexponent: 79
727 minexponent: -79
728 fmax2881 fma 1.2347E-40 1.2347E-40 0E+999999 -> 1.524E-80 Inexact Rounded Subnormal Underflow
729 fmax2882 fma 1.234E-40 1.234E-40 0E+999999 -> 1.523E-80 Inexact Rounded Subnormal Underflow
730 fmax2883 fma 1.23E-40 1.23E-40 0E+999999 -> 1.513E-80 Inexact Rounded Subnormal Underflow
731 fmax2884 fma 1.2E-40 1.2E-40 0E+999999 -> 1.44E-80 Subnormal
732 fmax2885 fma 1.2E-40 1.2E-41 0E+999999 -> 1.44E-81 Subnormal
733 fmax2886 fma 1.2E-40 1.2E-42 0E+999999 -> 1.4E-82 Subnormal Inexact Rounded Underflow
734 fmax2887 fma 1.2E-40 1.3E-42 0E+999999 -> 1.6E-82 Subnormal Inexact Rounded Underflow
735 fmax2888 fma 1.3E-40 1.3E-42 0E+999999 -> 1.7E-82 Subnormal Inexact Rounded Underflow
736 fmax2889 fma 1.3E-40 1.3E-43 0E+999999 -> 2E-83 Subnormal Inexact Rounded Underflow
737 fmax2890 fma 1.3E-41 1.3E-43 0E+999999 -> 0E-83 Clamped Subnormal Inexact Rounded Underflow
738
739 fmax2891 fma 1.2345E-39 1.234E-40 0E+999999 -> 1.5234E-79 Inexact Rounded
740 fmax2892 fma 1.23456E-39 1.234E-40 0E+999999 -> 1.5234E-79 Inexact Rounded
741 fmax2893 fma 1.2345E-40 1.234E-40 0E+999999 -> 1.523E-80 Inexact Rounded Subnormal Underflow
742 fmax2894 fma 1.23456E-40 1.234E-40 0E+999999 -> 1.523E-80 Inexact Rounded Subnormal Underflow
743 fmax2895 fma 1.2345E-41 1.234E-40 0E+999999 -> 1.52E-81 Inexact Rounded Subnormal Underflow
744 fmax2896 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
747 precision: 16
748 rounding: half_up
749 maxExponent: 384
750 minExponent: -383
751
752 fmax2900 fma 0.3000000000E-191 0.3000000000E-191 0E+999999 -> 9.00000000000000E-384 Subnormal Rounded
753 fmax2901 fma 0.3000000001E-191 0.3000000001E-191 0E+999999 -> 9.00000000600000E-384 Underflow Inexact Subnormal Rounded
754 fmax2902 fma 9.999999999999999E-383 0.0999999999999 0E+999999 -> 9.99999999999000E-384 Underflow Inexact Subnormal Rounded
755 fmax2903 fma 9.999999999999999E-383 0.09999999999999 0E+999999 -> 9.99999999999900E-384 Underflow Inexact Subnormal Rounded
756 fmax2904 fma 9.999999999999999E-383 0.099999999999999 0E+999999 -> 9.99999999999990E-384 Underflow Inexact Subnormal Rounded
757 fmax2905 fma 9.999999999999999E-383 0.0999999999999999 0E+999999 -> 9.99999999999999E-384 Underflow Inexact Subnormal Rounded
758 -- prove operands are exact
759 fmax2906 fma 9.999999999999999E-383 1 0E+999999 -> 9.999999999999999E-383
760 fmax2907 fma 1 0.09999999999999999 0E+999999 -> 0.09999999999999999
761 -- the next rounds to Nmin
762 fmax2908 fma 9.999999999999999E-383 0.09999999999999999 0E+999999 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
763 fmax2909 fma 9.999999999999999E-383 0.099999999999999999 0E+999999 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
764 fmax2910 fma 9.999999999999999E-383 0.0999999999999999999 0E+999999 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
765 fmax2911 fma 9.999999999999999E-383 0.09999999999999999999 0E+999999 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
766
767 -- Examples from SQL proposal (Krishna Kulkarni)
768 precision: 34
769 rounding: half_up
770 maxExponent: 6144
771 minExponent: -6143
772 fmax2921 fma 130E-2 120E-2 0E+999999 -> 1.5600
773 fmax2922 fma 130E-2 12E-1 0E+999999 -> 1.560
774 fmax2923 fma 130E-2 1E0 0E+999999 -> 1.30
775
776 -- Null tests
777 fmax2990 fma # 10 0E+999999 -> NaN Invalid_operation
778 fmax2991 fma 10 # 0E+999999 -> NaN Invalid_operation
779
780 -- ADDITION TESTS ------------------------------------------------------
781 precision: 9
782 rounding: half_up
783 maxExponent: 384
784 minexponent: -383
785
786 -- [first group are 'quick confidence check']
787 fmax3001 fma 1 1 1 -> 2
788 fmax3002 fma 1 2 3 -> 5
789 fmax3003 fma 1 '5.75' '3.3' -> 9.05
790 fmax3004 fma 1 '5' '-3' -> 2
791 fmax3005 fma 1 '-5' '-3' -> -8
792 fmax3006 fma 1 '-7' '2.5' -> -4.5
793 fmax3007 fma 1 '0.7' '0.3' -> 1.0
794 fmax3008 fma 1 '1.25' '1.25' -> 2.50
795 fmax3009 fma 1 '1.23456789' '1.00000000' -> '2.23456789'
796 fmax3010 fma 1 '1.23456789' '1.00000011' -> '2.23456800'
797
798 fmax3011 fma 1 '0.4444444444' '0.5555555555' -> '1.00000000' Inexact Rounded
799 fmax3012 fma 1 '0.4444444440' '0.5555555555' -> '1.00000000' Inexact Rounded
800 fmax3013 fma 1 '0.4444444444' '0.5555555550' -> '0.999999999' Inexact Rounded
801 fmax3014 fma 1 '0.44444444449' '0' -> '0.444444444' Inexact Rounded
802 fmax3015 fma 1 '0.444444444499' '0' -> '0.444444444' Inexact Rounded
803 fmax3016 fma 1 '0.4444444444999' '0' -> '0.444444444' Inexact Rounded
804 fmax3017 fma 1 '0.4444444445000' '0' -> '0.444444445' Inexact Rounded
805 fmax3018 fma 1 '0.4444444445001' '0' -> '0.444444445' Inexact Rounded
806 fmax3019 fma 1 '0.444444444501' '0' -> '0.444444445' Inexact Rounded
807 fmax3020 fma 1 '0.44444444451' '0' -> '0.444444445' Inexact Rounded
808
809 fmax3021 fma 1 0 1 -> 1
810 fmax3022 fma 1 1 1 -> 2
811 fmax3023 fma 1 2 1 -> 3
812 fmax3024 fma 1 3 1 -> 4
813 fmax3025 fma 1 4 1 -> 5
814 fmax3026 fma 1 5 1 -> 6
815 fmax3027 fma 1 6 1 -> 7
816 fmax3028 fma 1 7 1 -> 8
817 fmax3029 fma 1 8 1 -> 9
818 fmax3030 fma 1 9 1 -> 10
819
820 -- some carrying effects
821 fmax3031 fma 1 '0.9998' '0.0000' -> '0.9998'
822 fmax3032 fma 1 '0.9998' '0.0001' -> '0.9999'
823 fmax3033 fma 1 '0.9998' '0.0002' -> '1.0000'
824 fmax3034 fma 1 '0.9998' '0.0003' -> '1.0001'
825
826 fmax3035 fma 1 '70' '10000e+9' -> '1.00000000E+13' Inexact Rounded
827 fmax3036 fma 1 '700' '10000e+9' -> '1.00000000E+13' Inexact Rounded
828 fmax3037 fma 1 '7000' '10000e+9' -> '1.00000000E+13' Inexact Rounded
829 fmax3038 fma 1 '70000' '10000e+9' -> '1.00000001E+13' Inexact Rounded
830 fmax3039 fma 1 '700000' '10000e+9' -> '1.00000007E+13' Rounded
831
832 -- symmetry:
833 fmax3040 fma 1 '10000e+9' '70' -> '1.00000000E+13' Inexact Rounded
834 fmax3041 fma 1 '10000e+9' '700' -> '1.00000000E+13' Inexact Rounded
835 fmax3042 fma 1 '10000e+9' '7000' -> '1.00000000E+13' Inexact Rounded
836 fmax3044 fma 1 '10000e+9' '70000' -> '1.00000001E+13' Inexact Rounded
837 fmax3045 fma 1 '10000e+9' '700000' -> '1.00000007E+13' Rounded
838
839 -- same, higher precision
840 precision: 15
841 fmax3046 fma 1 '10000e+9' '7' -> '10000000000007'
842 fmax3047 fma 1 '10000e+9' '70' -> '10000000000070'
843 fmax3048 fma 1 '10000e+9' '700' -> '10000000000700'
844 fmax3049 fma 1 '10000e+9' '7000' -> '10000000007000'
845 fmax3050 fma 1 '10000e+9' '70000' -> '10000000070000'
846 fmax3051 fma 1 '10000e+9' '700000' -> '10000000700000'
847 fmax3052 fma 1 '10000e+9' '7000000' -> '10000007000000'
848
849 -- examples from decarith
850 fmax3053 fma 1 '12' '7.00' -> '19.00'
851 fmax3054 fma 1 '1.3' '-1.07' -> '0.23'
852 fmax3055 fma 1 '1.3' '-1.30' -> '0.00'
853 fmax3056 fma 1 '1.3' '-2.07' -> '-0.77'
854 fmax3057 fma 1 '1E+2' '1E+4' -> '1.01E+4'
855
856 -- zero preservation
857 precision: 6
858 fmax3060 fma 1 '10000e+9' '70000' -> '1.00000E+13' Inexact Rounded
859 fmax3061 fma 1 1 '0.0001' -> '1.0001'
860 fmax3062 fma 1 1 '0.00001' -> '1.00001'
861 fmax3063 fma 1 1 '0.000001' -> '1.00000' Inexact Rounded
862 fmax3064 fma 1 1 '0.0000001' -> '1.00000' Inexact Rounded
863 fmax3065 fma 1 1 '0.00000001' -> '1.00000' Inexact Rounded
864
865 -- some funny zeros [in case of bad signum]
866 fmax3070 fma 1 1 0 -> 1
867 fmax3071 fma 1 1 0. -> 1
868 fmax3072 fma 1 1 .0 -> 1.0
869 fmax3073 fma 1 1 0.0 -> 1.0
870 fmax3074 fma 1 1 0.00 -> 1.00
871 fmax3075 fma 1 0 1 -> 1
872 fmax3076 fma 1 0. 1 -> 1
873 fmax3077 fma 1 .0 1 -> 1.0
874 fmax3078 fma 1 0.0 1 -> 1.0
875 fmax3079 fma 1 0.00 1 -> 1.00
876
877 precision: 9
878
879 -- some carries
880 fmax3080 fma 1 999999998 1 -> 999999999
881 fmax3081 fma 1 999999999 1 -> 1.00000000E+9 Rounded
882 fmax3082 fma 1 99999999 1 -> 100000000
883 fmax3083 fma 1 9999999 1 -> 10000000
884 fmax3084 fma 1 999999 1 -> 1000000
885 fmax3085 fma 1 99999 1 -> 100000
886 fmax3086 fma 1 9999 1 -> 10000
887 fmax3087 fma 1 999 1 -> 1000
888 fmax3088 fma 1 99 1 -> 100
889 fmax3089 fma 1 9 1 -> 10
890
891
892 -- more LHS swaps
893 fmax3090 fma 1 '-56267E-10' 0 -> '-0.0000056267'
894 fmax3091 fma 1 '-56267E-6' 0 -> '-0.056267'
895 fmax3092 fma 1 '-56267E-5' 0 -> '-0.56267'
896 fmax3093 fma 1 '-56267E-4' 0 -> '-5.6267'
897 fmax3094 fma 1 '-56267E-3' 0 -> '-56.267'
898 fmax3095 fma 1 '-56267E-2' 0 -> '-562.67'
899 fmax3096 fma 1 '-56267E-1' 0 -> '-5626.7'
900 fmax3097 fma 1 '-56267E-0' 0 -> '-56267'
901 fmax3098 fma 1 '-5E-10' 0 -> '-5E-10'
902 fmax3099 fma 1 '-5E-7' 0 -> '-5E-7'
903 fmax3100 fma 1 '-5E-6' 0 -> '-0.000005'
904 fmax3101 fma 1 '-5E-5' 0 -> '-0.00005'
905 fmax3102 fma 1 '-5E-4' 0 -> '-0.0005'
906 fmax3103 fma 1 '-5E-1' 0 -> '-0.5'
907 fmax3104 fma 1 '-5E0' 0 -> '-5'
908 fmax3105 fma 1 '-5E1' 0 -> '-50'
909 fmax3106 fma 1 '-5E5' 0 -> '-500000'
910 fmax3107 fma 1 '-5E8' 0 -> '-500000000'
911 fmax3108 fma 1 '-5E9' 0 -> '-5.00000000E+9' Rounded
912 fmax3109 fma 1 '-5E10' 0 -> '-5.00000000E+10' Rounded
913 fmax3110 fma 1 '-5E11' 0 -> '-5.00000000E+11' Rounded
914 fmax3111 fma 1 '-5E100' 0 -> '-5.00000000E+100' Rounded
915
916 -- more RHS swaps
917 fmax3113 fma 1 0 '-56267E-10' -> '-0.0000056267'
918 fmax3114 fma 1 0 '-56267E-6' -> '-0.056267'
919 fmax3116 fma 1 0 '-56267E-5' -> '-0.56267'
920 fmax3117 fma 1 0 '-56267E-4' -> '-5.6267'
921 fmax3119 fma 1 0 '-56267E-3' -> '-56.267'
922 fmax3120 fma 1 0 '-56267E-2' -> '-562.67'
923 fmax3121 fma 1 0 '-56267E-1' -> '-5626.7'
924 fmax3122 fma 1 0 '-56267E-0' -> '-56267'
925 fmax3123 fma 1 0 '-5E-10' -> '-5E-10'
926 fmax3124 fma 1 0 '-5E-7' -> '-5E-7'
927 fmax3125 fma 1 0 '-5E-6' -> '-0.000005'
928 fmax3126 fma 1 0 '-5E-5' -> '-0.00005'
929 fmax3127 fma 1 0 '-5E-4' -> '-0.0005'
930 fmax3128 fma 1 0 '-5E-1' -> '-0.5'
931 fmax3129 fma 1 0 '-5E0' -> '-5'
932 fmax3130 fma 1 0 '-5E1' -> '-50'
933 fmax3131 fma 1 0 '-5E5' -> '-500000'
934 fmax3132 fma 1 0 '-5E8' -> '-500000000'
935 fmax3133 fma 1 0 '-5E9' -> '-5.00000000E+9' Rounded
936 fmax3134 fma 1 0 '-5E10' -> '-5.00000000E+10' Rounded
937 fmax3135 fma 1 0 '-5E11' -> '-5.00000000E+11' Rounded
938 fmax3136 fma 1 0 '-5E100' -> '-5.00000000E+100' Rounded
939
940 -- related
941 fmax3137 fma 1 1 '0E-12' -> '1.00000000' Rounded
942 fmax3138 fma 1 -1 '0E-12' -> '-1.00000000' Rounded
943 fmax3139 fma 1 '0E-12' 1 -> '1.00000000' Rounded
944 fmax3140 fma 1 '0E-12' -1 -> '-1.00000000' Rounded
945 fmax3141 fma 1 1E+4 0.0000 -> '10000.0000'
946 fmax3142 fma 1 1E+4 0.00000 -> '10000.0000' Rounded
947 fmax3143 fma 1 0.000 1E+5 -> '100000.000'
948 fmax3144 fma 1 0.0000 1E+5 -> '100000.000' Rounded
949
950 -- [some of the next group are really constructor tests]
951 fmax3146 fma 1 '00.0' 0 -> '0.0'
952 fmax3147 fma 1 '0.00' 0 -> '0.00'
953 fmax3148 fma 1 0 '0.00' -> '0.00'
954 fmax3149 fma 1 0 '00.0' -> '0.0'
955 fmax3150 fma 1 '00.0' '0.00' -> '0.00'
956 fmax3151 fma 1 '0.00' '00.0' -> '0.00'
957 fmax3152 fma 1 '3' '.3' -> '3.3'
958 fmax3153 fma 1 '3.' '.3' -> '3.3'
959 fmax3154 fma 1 '3.0' '.3' -> '3.3'
960 fmax3155 fma 1 '3.00' '.3' -> '3.30'
961 fmax3156 fma 1 '3' '3' -> '6'
962 fmax3157 fma 1 '3' '+3' -> '6'
963 fmax3158 fma 1 '3' '-3' -> '0'
964 fmax3159 fma 1 '0.3' '-0.3' -> '0.0'
965 fmax3160 fma 1 '0.03' '-0.03' -> '0.00'
966
967 -- try borderline precision, with carries, etc.
968 precision: 15
969 fmax3161 fma 1 '1E+12' '-1' -> '999999999999'
970 fmax3162 fma 1 '1E+12' '1.11' -> '1000000000001.11'
971 fmax3163 fma 1 '1.11' '1E+12' -> '1000000000001.11'
972 fmax3164 fma 1 '-1' '1E+12' -> '999999999999'
973 fmax3165 fma 1 '7E+12' '-1' -> '6999999999999'
974 fmax3166 fma 1 '7E+12' '1.11' -> '7000000000001.11'
975 fmax3167 fma 1 '1.11' '7E+12' -> '7000000000001.11'
976 fmax3168 fma 1 '-1' '7E+12' -> '6999999999999'
977
978 -- 123456789012345 123456789012345 1 23456789012345
979 fmax3170 fma 1 '0.444444444444444' '0.555555555555563' -> '1.00000000000001' Inexact Rounded
980 fmax3171 fma 1 '0.444444444444444' '0.555555555555562' -> '1.00000000000001' Inexact Rounded
981 fmax3172 fma 1 '0.444444444444444' '0.555555555555561' -> '1.00000000000001' Inexact Rounded
982 fmax3173 fma 1 '0.444444444444444' '0.555555555555560' -> '1.00000000000000' Inexact Rounded
983 fmax3174 fma 1 '0.444444444444444' '0.555555555555559' -> '1.00000000000000' Inexact Rounded
984 fmax3175 fma 1 '0.444444444444444' '0.555555555555558' -> '1.00000000000000' Inexact Rounded
985 fmax3176 fma 1 '0.444444444444444' '0.555555555555557' -> '1.00000000000000' Inexact Rounded
986 fmax3177 fma 1 '0.444444444444444' '0.555555555555556' -> '1.00000000000000' Rounded
987 fmax3178 fma 1 '0.444444444444444' '0.555555555555555' -> '0.999999999999999'
988 fmax3179 fma 1 '0.444444444444444' '0.555555555555554' -> '0.999999999999998'
989 fmax3180 fma 1 '0.444444444444444' '0.555555555555553' -> '0.999999999999997'
990 fmax3181 fma 1 '0.444444444444444' '0.555555555555552' -> '0.999999999999996'
991 fmax3182 fma 1 '0.444444444444444' '0.555555555555551' -> '0.999999999999995'
992 fmax3183 fma 1 '0.444444444444444' '0.555555555555550' -> '0.999999999999994'
993
994 -- and some more, including residue effects and different roundings
995 precision: 9
996 rounding: half_up
997 fmax3200 fma 1 '123456789' 0 -> '123456789'
998 fmax3201 fma 1 '123456789' 0.000000001 -> '123456789' Inexact Rounded
999 fmax3202 fma 1 '123456789' 0.000001 -> '123456789' Inexact Rounded
1000 fmax3203 fma 1 '123456789' 0.1 -> '123456789' Inexact Rounded
1001 fmax3204 fma 1 '123456789' 0.4 -> '123456789' Inexact Rounded
1002 fmax3205 fma 1 '123456789' 0.49 -> '123456789' Inexact Rounded
1003 fmax3206 fma 1 '123456789' 0.499999 -> '123456789' Inexact Rounded
1004 fmax3207 fma 1 '123456789' 0.499999999 -> '123456789' Inexact Rounded
1005 fmax3208 fma 1 '123456789' 0.5 -> '123456790' Inexact Rounded
1006 fmax3209 fma 1 '123456789' 0.500000001 -> '123456790' Inexact Rounded
1007 fmax3210 fma 1 '123456789' 0.500001 -> '123456790' Inexact Rounded
1008 fmax3211 fma 1 '123456789' 0.51 -> '123456790' Inexact Rounded
1009 fmax3212 fma 1 '123456789' 0.6 -> '123456790' Inexact Rounded
1010 fmax3213 fma 1 '123456789' 0.9 -> '123456790' Inexact Rounded
1011 fmax3214 fma 1 '123456789' 0.99999 -> '123456790' Inexact Rounded
1012 fmax3215 fma 1 '123456789' 0.999999999 -> '123456790' Inexact Rounded
1013 fmax3216 fma 1 '123456789' 1 -> '123456790'
1014 fmax3217 fma 1 '123456789' 1.000000001 -> '123456790' Inexact Rounded
1015 fmax3218 fma 1 '123456789' 1.00001 -> '123456790' Inexact Rounded
1016 fmax3219 fma 1 '123456789' 1.1 -> '123456790' Inexact Rounded
1017
1018 rounding: half_even
1019 fmax3220 fma 1 '123456789' 0 -> '123456789'
1020 fmax3221 fma 1 '123456789' 0.000000001 -> '123456789' Inexact Rounded
1021 fmax3222 fma 1 '123456789' 0.000001 -> '123456789' Inexact Rounded
1022 fmax3223 fma 1 '123456789' 0.1 -> '123456789' Inexact Rounded
1023 fmax3224 fma 1 '123456789' 0.4 -> '123456789' Inexact Rounded
1024 fmax3225 fma 1 '123456789' 0.49 -> '123456789' Inexact Rounded
1025 fmax3226 fma 1 '123456789' 0.499999 -> '123456789' Inexact Rounded
1026 fmax3227 fma 1 '123456789' 0.499999999 -> '123456789' Inexact Rounded
1027 fmax3228 fma 1 '123456789' 0.5 -> '123456790' Inexact Rounded
1028 fmax3229 fma 1 '123456789' 0.500000001 -> '123456790' Inexact Rounded
1029 fmax3230 fma 1 '123456789' 0.500001 -> '123456790' Inexact Rounded
1030 fmax3231 fma 1 '123456789' 0.51 -> '123456790' Inexact Rounded
1031 fmax3232 fma 1 '123456789' 0.6 -> '123456790' Inexact Rounded
1032 fmax3233 fma 1 '123456789' 0.9 -> '123456790' Inexact Rounded
1033 fmax3234 fma 1 '123456789' 0.99999 -> '123456790' Inexact Rounded
1034 fmax3235 fma 1 '123456789' 0.999999999 -> '123456790' Inexact Rounded
1035 fmax3236 fma 1 '123456789' 1 -> '123456790'
1036 fmax3237 fma 1 '123456789' 1.00000001 -> '123456790' Inexact Rounded
1037 fmax3238 fma 1 '123456789' 1.00001 -> '123456790' Inexact Rounded
1038 fmax3239 fma 1 '123456789' 1.1 -> '123456790' Inexact Rounded
1039 -- critical few with even bottom digit...
1040 fmax3240 fma 1 '123456788' 0.499999999 -> '123456788' Inexact Rounded
1041 fmax3241 fma 1 '123456788' 0.5 -> '123456788' Inexact Rounded
1042 fmax3242 fma 1 '123456788' 0.500000001 -> '123456789' Inexact Rounded
1043
1044 rounding: down
1045 fmax3250 fma 1 '123456789' 0 -> '123456789'
1046 fmax3251 fma 1 '123456789' 0.000000001 -> '123456789' Inexact Rounded
1047 fmax3252 fma 1 '123456789' 0.000001 -> '123456789' Inexact Rounded
1048 fmax3253 fma 1 '123456789' 0.1 -> '123456789' Inexact Rounded
1049 fmax3254 fma 1 '123456789' 0.4 -> '123456789' Inexact Rounded
1050 fmax3255 fma 1 '123456789' 0.49 -> '123456789' Inexact Rounded
1051 fmax3256 fma 1 '123456789' 0.499999 -> '123456789' Inexact Rounded
1052 fmax3257 fma 1 '123456789' 0.499999999 -> '123456789' Inexact Rounded
1053 fmax3258 fma 1 '123456789' 0.5 -> '123456789' Inexact Rounded
1054 fmax3259 fma 1 '123456789' 0.500000001 -> '123456789' Inexact Rounded
1055 fmax3260 fma 1 '123456789' 0.500001 -> '123456789' Inexact Rounded
1056 fmax3261 fma 1 '123456789' 0.51 -> '123456789' Inexact Rounded
1057 fmax3262 fma 1 '123456789' 0.6 -> '123456789' Inexact Rounded
1058 fmax3263 fma 1 '123456789' 0.9 -> '123456789' Inexact Rounded
1059 fmax3264 fma 1 '123456789' 0.99999 -> '123456789' Inexact Rounded
1060 fmax3265 fma 1 '123456789' 0.999999999 -> '123456789' Inexact Rounded
1061 fmax3266 fma 1 '123456789' 1 -> '123456790'
1062 fmax3267 fma 1 '123456789' 1.00000001 -> '123456790' Inexact Rounded
1063 fmax3268 fma 1 '123456789' 1.00001 -> '123456790' Inexact Rounded
1064 fmax3269 fma 1 '123456789' 1.1 -> '123456790' Inexact Rounded
1065
1066 -- input preparation tests (operands should not be rounded)
1067 precision: 3
1068 rounding: half_up
1069
1070 fmax3270 fma 1 '12345678900000' 9999999999999 -> '2.23E+13' Inexact Rounded
1071 fmax3271 fma 1 '9999999999999' 12345678900000 -> '2.23E+13' Inexact Rounded
1072
1073 fmax3272 fma 1 '12E+3' '3444' -> '1.54E+4' Inexact Rounded
1074 fmax3273 fma 1 '12E+3' '3446' -> '1.54E+4' Inexact Rounded
1075 fmax3274 fma 1 '12E+3' '3449.9' -> '1.54E+4' Inexact Rounded
1076 fmax3275 fma 1 '12E+3' '3450.0' -> '1.55E+4' Inexact Rounded
1077 fmax3276 fma 1 '12E+3' '3450.1' -> '1.55E+4' Inexact Rounded
1078 fmax3277 fma 1 '12E+3' '3454' -> '1.55E+4' Inexact Rounded
1079 fmax3278 fma 1 '12E+3' '3456' -> '1.55E+4' Inexact Rounded
1080
1081 fmax3281 fma 1 '3444' '12E+3' -> '1.54E+4' Inexact Rounded
1082 fmax3282 fma 1 '3446' '12E+3' -> '1.54E+4' Inexact Rounded
1083 fmax3283 fma 1 '3449.9' '12E+3' -> '1.54E+4' Inexact Rounded
1084 fmax3284 fma 1 '3450.0' '12E+3' -> '1.55E+4' Inexact Rounded
1085 fmax3285 fma 1 '3450.1' '12E+3' -> '1.55E+4' Inexact Rounded
1086 fmax3286 fma 1 '3454' '12E+3' -> '1.55E+4' Inexact Rounded
1087 fmax3287 fma 1 '3456' '12E+3' -> '1.55E+4' Inexact Rounded
1088
1089 rounding: half_down
1090 fmax3291 fma 1 '3444' '12E+3' -> '1.54E+4' Inexact Rounded
1091 fmax3292 fma 1 '3446' '12E+3' -> '1.54E+4' Inexact Rounded
1092 fmax3293 fma 1 '3449.9' '12E+3' -> '1.54E+4' Inexact Rounded
1093 fmax3294 fma 1 '3450.0' '12E+3' -> '1.54E+4' Inexact Rounded
1094 fmax3295 fma 1 '3450.1' '12E+3' -> '1.55E+4' Inexact Rounded
1095 fmax3296 fma 1 '3454' '12E+3' -> '1.55E+4' Inexact Rounded
1096 fmax3297 fma 1 '3456' '12E+3' -> '1.55E+4' Inexact Rounded
1097
1098 -- 1 in last place tests
1099 rounding: half_up
1100 fmax3301 fma 1 -1 1 -> 0
1101 fmax3302 fma 1 0 1 -> 1
1102 fmax3303 fma 1 1 1 -> 2
1103 fmax3304 fma 1 12 1 -> 13
1104 fmax3305 fma 1 98 1 -> 99
1105 fmax3306 fma 1 99 1 -> 100
1106 fmax3307 fma 1 100 1 -> 101
1107 fmax3308 fma 1 101 1 -> 102
1108 fmax3309 fma 1 -1 -1 -> -2
1109 fmax3310 fma 1 0 -1 -> -1
1110 fmax3311 fma 1 1 -1 -> 0
1111 fmax3312 fma 1 12 -1 -> 11
1112 fmax3313 fma 1 98 -1 -> 97
1113 fmax3314 fma 1 99 -1 -> 98
1114 fmax3315 fma 1 100 -1 -> 99
1115 fmax3316 fma 1 101 -1 -> 100
1116
1117 fmax3321 fma 1 -0.01 0.01 -> 0.00
1118 fmax3322 fma 1 0.00 0.01 -> 0.01
1119 fmax3323 fma 1 0.01 0.01 -> 0.02
1120 fmax3324 fma 1 0.12 0.01 -> 0.13
1121 fmax3325 fma 1 0.98 0.01 -> 0.99
1122 fmax3326 fma 1 0.99 0.01 -> 1.00
1123 fmax3327 fma 1 1.00 0.01 -> 1.01
1124 fmax3328 fma 1 1.01 0.01 -> 1.02
1125 fmax3329 fma 1 -0.01 -0.01 -> -0.02
1126 fmax3330 fma 1 0.00 -0.01 -> -0.01
1127 fmax3331 fma 1 0.01 -0.01 -> 0.00
1128 fmax3332 fma 1 0.12 -0.01 -> 0.11
1129 fmax3333 fma 1 0.98 -0.01 -> 0.97
1130 fmax3334 fma 1 0.99 -0.01 -> 0.98
1131 fmax3335 fma 1 1.00 -0.01 -> 0.99
1132 fmax3336 fma 1 1.01 -0.01 -> 1.00
1133
1134 -- some more cases where fma 1 ing 0 affects the coefficient
1135 precision: 9
1136 fmax3340 fma 1 1E+3 0 -> 1000
1137 fmax3341 fma 1 1E+8 0 -> 100000000
1138 fmax3342 fma 1 1E+9 0 -> 1.00000000E+9 Rounded
1139 fmax3343 fma 1 1E+10 0 -> 1.00000000E+10 Rounded
1140 -- which simply follow from these cases ...
1141 fmax3344 fma 1 1E+3 1 -> 1001
1142 fmax3345 fma 1 1E+8 1 -> 100000001
1143 fmax3346 fma 1 1E+9 1 -> 1.00000000E+9 Inexact Rounded
1144 fmax3347 fma 1 1E+10 1 -> 1.00000000E+10 Inexact Rounded
1145 fmax3348 fma 1 1E+3 7 -> 1007
1146 fmax3349 fma 1 1E+8 7 -> 100000007
1147 fmax3350 fma 1 1E+9 7 -> 1.00000001E+9 Inexact Rounded
1148 fmax3351 fma 1 1E+10 7 -> 1.00000000E+10 Inexact Rounded
1149
1150 -- tryzeros cases
1151 precision: 7
1152 rounding: half_up
1153 maxExponent: 92
1154 minexponent: -92
1155 fmax3361 fma 1 0E+50 10000E+1 -> 1.0000E+5
1156 fmax3362 fma 1 10000E+1 0E-50 -> 100000.0 Rounded
1157 fmax3363 fma 1 10000E+1 10000E-50 -> 100000.0 Rounded Inexact
1158 fmax3364 fma 1 9.999999E+92 -9.999999E+92 -> 0E+86
1159
1160 -- a curiosity from JSR 13 testing
1161 rounding: half_down
1162 precision: 10
1163 fmax3370 fma 1 99999999 81512 -> 100081511
1164 precision: 6
1165 fmax3371 fma 1 99999999 81512 -> 1.00082E+8 Rounded Inexact
1166 rounding: half_up
1167 precision: 10
1168 fmax3372 fma 1 99999999 81512 -> 100081511
1169 precision: 6
1170 fmax3373 fma 1 99999999 81512 -> 1.00082E+8 Rounded Inexact
1171 rounding: half_even
1172 precision: 10
1173 fmax3374 fma 1 99999999 81512 -> 100081511
1174 precision: 6
1175 fmax3375 fma 1 99999999 81512 -> 1.00082E+8 Rounded Inexact
1176
1177 -- ulp replacement tests
1178 precision: 9
1179 maxexponent: 999999
1180 minexponent: -999999
1181 fmax3400 fma 1 1 77e-7 -> 1.0000077
1182 fmax3401 fma 1 1 77e-8 -> 1.00000077
1183 fmax3402 fma 1 1 77e-9 -> 1.00000008 Inexact Rounded
1184 fmax3403 fma 1 1 77e-10 -> 1.00000001 Inexact Rounded
1185 fmax3404 fma 1 1 77e-11 -> 1.00000000 Inexact Rounded
1186 fmax3405 fma 1 1 77e-12 -> 1.00000000 Inexact Rounded
1187 fmax3406 fma 1 1 77e-999 -> 1.00000000 Inexact Rounded
1188 fmax3407 fma 1 1 77e-999999 -> 1.00000000 Inexact Rounded
1189
1190 fmax3410 fma 1 10 77e-7 -> 10.0000077
1191 fmax3411 fma 1 10 77e-8 -> 10.0000008 Inexact Rounded
1192 fmax3412 fma 1 10 77e-9 -> 10.0000001 Inexact Rounded
1193 fmax3413 fma 1 10 77e-10 -> 10.0000000 Inexact Rounded
1194 fmax3414 fma 1 10 77e-11 -> 10.0000000 Inexact Rounded
1195 fmax3415 fma 1 10 77e-12 -> 10.0000000 Inexact Rounded
1196 fmax3416 fma 1 10 77e-999 -> 10.0000000 Inexact Rounded
1197 fmax3417 fma 1 10 77e-999999 -> 10.0000000 Inexact Rounded
1198
1199 fmax3420 fma 1 77e-7 1 -> 1.0000077
1200 fmax3421 fma 1 77e-8 1 -> 1.00000077
1201 fmax3422 fma 1 77e-9 1 -> 1.00000008 Inexact Rounded
1202 fmax3423 fma 1 77e-10 1 -> 1.00000001 Inexact Rounded
1203 fmax3424 fma 1 77e-11 1 -> 1.00000000 Inexact Rounded
1204 fmax3425 fma 1 77e-12 1 -> 1.00000000 Inexact Rounded
1205 fmax3426 fma 1 77e-999 1 -> 1.00000000 Inexact Rounded
1206 fmax3427 fma 1 77e-999999 1 -> 1.00000000 Inexact Rounded
1207
1208 fmax3430 fma 1 77e-7 10 -> 10.0000077
1209 fmax3431 fma 1 77e-8 10 -> 10.0000008 Inexact Rounded
1210 fmax3432 fma 1 77e-9 10 -> 10.0000001 Inexact Rounded
1211 fmax3433 fma 1 77e-10 10 -> 10.0000000 Inexact Rounded
1212 fmax3434 fma 1 77e-11 10 -> 10.0000000 Inexact Rounded
1213 fmax3435 fma 1 77e-12 10 -> 10.0000000 Inexact Rounded
1214 fmax3436 fma 1 77e-999 10 -> 10.0000000 Inexact Rounded
1215 fmax3437 fma 1 77e-999999 10 -> 10.0000000 Inexact Rounded
1216
1217 -- negative ulps
1218 fmax3440 fma 1 1 -77e-7 -> 0.9999923
1219 fmax3441 fma 1 1 -77e-8 -> 0.99999923
1220 fmax3442 fma 1 1 -77e-9 -> 0.999999923
1221 fmax3443 fma 1 1 -77e-10 -> 0.999999992 Inexact Rounded
1222 fmax3444 fma 1 1 -77e-11 -> 0.999999999 Inexact Rounded
1223 fmax3445 fma 1 1 -77e-12 -> 1.00000000 Inexact Rounded
1224 fmax3446 fma 1 1 -77e-999 -> 1.00000000 Inexact Rounded
1225 fmax3447 fma 1 1 -77e-999999 -> 1.00000000 Inexact Rounded
1226
1227 fmax3450 fma 1 10 -77e-7 -> 9.9999923
1228 fmax3451 fma 1 10 -77e-8 -> 9.99999923
1229 fmax3452 fma 1 10 -77e-9 -> 9.99999992 Inexact Rounded
1230 fmax3453 fma 1 10 -77e-10 -> 9.99999999 Inexact Rounded
1231 fmax3454 fma 1 10 -77e-11 -> 10.0000000 Inexact Rounded
1232 fmax3455 fma 1 10 -77e-12 -> 10.0000000 Inexact Rounded
1233 fmax3456 fma 1 10 -77e-999 -> 10.0000000 Inexact Rounded
1234 fmax3457 fma 1 10 -77e-999999 -> 10.0000000 Inexact Rounded
1235
1236 fmax3460 fma 1 -77e-7 1 -> 0.9999923
1237 fmax3461 fma 1 -77e-8 1 -> 0.99999923
1238 fmax3462 fma 1 -77e-9 1 -> 0.999999923
1239 fmax3463 fma 1 -77e-10 1 -> 0.999999992 Inexact Rounded
1240 fmax3464 fma 1 -77e-11 1 -> 0.999999999 Inexact Rounded
1241 fmax3465 fma 1 -77e-12 1 -> 1.00000000 Inexact Rounded
1242 fmax3466 fma 1 -77e-999 1 -> 1.00000000 Inexact Rounded
1243 fmax3467 fma 1 -77e-999999 1 -> 1.00000000 Inexact Rounded
1244
1245 fmax3470 fma 1 -77e-7 10 -> 9.9999923
1246 fmax3471 fma 1 -77e-8 10 -> 9.99999923
1247 fmax3472 fma 1 -77e-9 10 -> 9.99999992 Inexact Rounded
1248 fmax3473 fma 1 -77e-10 10 -> 9.99999999 Inexact Rounded
1249 fmax3474 fma 1 -77e-11 10 -> 10.0000000 Inexact Rounded
1250 fmax3475 fma 1 -77e-12 10 -> 10.0000000 Inexact Rounded
1251 fmax3476 fma 1 -77e-999 10 -> 10.0000000 Inexact Rounded
1252 fmax3477 fma 1 -77e-999999 10 -> 10.0000000 Inexact Rounded
1253
1254 -- negative ulps
1255 fmax3480 fma 1 -1 77e-7 -> -0.9999923
1256 fmax3481 fma 1 -1 77e-8 -> -0.99999923
1257 fmax3482 fma 1 -1 77e-9 -> -0.999999923
1258 fmax3483 fma 1 -1 77e-10 -> -0.999999992 Inexact Rounded
1259 fmax3484 fma 1 -1 77e-11 -> -0.999999999 Inexact Rounded
1260 fmax3485 fma 1 -1 77e-12 -> -1.00000000 Inexact Rounded
1261 fmax3486 fma 1 -1 77e-999 -> -1.00000000 Inexact Rounded
1262 fmax3487 fma 1 -1 77e-999999 -> -1.00000000 Inexact Rounded
1263
1264 fmax3490 fma 1 -10 77e-7 -> -9.9999923
1265 fmax3491 fma 1 -10 77e-8 -> -9.99999923
1266 fmax3492 fma 1 -10 77e-9 -> -9.99999992 Inexact Rounded
1267 fmax3493 fma 1 -10 77e-10 -> -9.99999999 Inexact Rounded
1268 fmax3494 fma 1 -10 77e-11 -> -10.0000000 Inexact Rounded
1269 fmax3495 fma 1 -10 77e-12 -> -10.0000000 Inexact Rounded
1270 fmax3496 fma 1 -10 77e-999 -> -10.0000000 Inexact Rounded
1271 fmax3497 fma 1 -10 77e-999999 -> -10.0000000 Inexact Rounded
1272
1273 fmax3500 fma 1 77e-7 -1 -> -0.9999923
1274 fmax3501 fma 1 77e-8 -1 -> -0.99999923
1275 fmax3502 fma 1 77e-9 -1 -> -0.999999923
1276 fmax3503 fma 1 77e-10 -1 -> -0.999999992 Inexact Rounded
1277 fmax3504 fma 1 77e-11 -1 -> -0.999999999 Inexact Rounded
1278 fmax3505 fma 1 77e-12 -1 -> -1.00000000 Inexact Rounded
1279 fmax3506 fma 1 77e-999 -1 -> -1.00000000 Inexact Rounded
1280 fmax3507 fma 1 77e-999999 -1 -> -1.00000000 Inexact Rounded
1281
1282 fmax3510 fma 1 77e-7 -10 -> -9.9999923
1283 fmax3511 fma 1 77e-8 -10 -> -9.99999923
1284 fmax3512 fma 1 77e-9 -10 -> -9.99999992 Inexact Rounded
1285 fmax3513 fma 1 77e-10 -10 -> -9.99999999 Inexact Rounded
1286 fmax3514 fma 1 77e-11 -10 -> -10.0000000 Inexact Rounded
1287 fmax3515 fma 1 77e-12 -10 -> -10.0000000 Inexact Rounded
1288 fmax3516 fma 1 77e-999 -10 -> -10.0000000 Inexact Rounded
1289 fmax3517 fma 1 77e-999999 -10 -> -10.0000000 Inexact Rounded
1290
1291
1292 -- long operands
1293 maxexponent: 999
1294 minexponent: -999
1295 precision: 9
1296 fmax3521 fma 1 12345678000 0 -> 1.23456780E+10 Rounded
1297 fmax3522 fma 1 0 12345678000 -> 1.23456780E+10 Rounded
1298 fmax3523 fma 1 1234567800 0 -> 1.23456780E+9 Rounded
1299 fmax3524 fma 1 0 1234567800 -> 1.23456780E+9 Rounded
1300 fmax3525 fma 1 1234567890 0 -> 1.23456789E+9 Rounded
1301 fmax3526 fma 1 0 1234567890 -> 1.23456789E+9 Rounded
1302 fmax3527 fma 1 1234567891 0 -> 1.23456789E+9 Inexact Rounded
1303 fmax3528 fma 1 0 1234567891 -> 1.23456789E+9 Inexact Rounded
1304 fmax3529 fma 1 12345678901 0 -> 1.23456789E+10 Inexact Rounded
1305 fmax3530 fma 1 0 12345678901 -> 1.23456789E+10 Inexact Rounded
1306 fmax3531 fma 1 1234567896 0 -> 1.23456790E+9 Inexact Rounded
1307 fmax3532 fma 1 0 1234567896 -> 1.23456790E+9 Inexact Rounded
1308
1309 precision: 15
1310 -- still checking
1311 fmax3541 fma 1 12345678000 0 -> 12345678000
1312 fmax3542 fma 1 0 12345678000 -> 12345678000
1313 fmax3543 fma 1 1234567800 0 -> 1234567800
1314 fmax3544 fma 1 0 1234567800 -> 1234567800
1315 fmax3545 fma 1 1234567890 0 -> 1234567890
1316 fmax3546 fma 1 0 1234567890 -> 1234567890
1317 fmax3547 fma 1 1234567891 0 -> 1234567891
1318 fmax3548 fma 1 0 1234567891 -> 1234567891
1319 fmax3549 fma 1 12345678901 0 -> 12345678901
1320 fmax3550 fma 1 0 12345678901 -> 12345678901
1321 fmax3551 fma 1 1234567896 0 -> 1234567896
1322 fmax3552 fma 1 0 1234567896 -> 1234567896
1323
1324 -- verify a query
1325 precision: 16
1326 maxExponent: +394
1327 minExponent: -393
1328 rounding: down
1329 fmax3561 fma 1 1e-398 9.000000000000000E+384 -> 9.000000000000000E+384 Inexact Rounded
1330 fmax3562 fma 1 0 9.000000000000000E+384 -> 9.000000000000000E+384 Rounded
1331 -- and using decimal64 bounds...
1332 precision: 16
1333 maxExponent: +384
1334 minExponent: -383
1335 rounding: down
1336 fmax3563 fma 1 1e-388 9.000000000000000E+374 -> 9.000000000000000E+374 Inexact Rounded
1337 fmax3564 fma 1 0 9.000000000000000E+374 -> 9.000000000000000E+374 Rounded
1338
1339
1340 -- some more residue effects with extreme rounding
1341 precision: 9
1342 rounding: half_up
1343 fmax3601 fma 1 123456789 0.000001 -> 123456789 Inexact Rounded
1344 rounding: half_even
1345 fmax3602 fma 1 123456789 0.000001 -> 123456789 Inexact Rounded
1346 rounding: half_down
1347 fmax3603 fma 1 123456789 0.000001 -> 123456789 Inexact Rounded
1348 rounding: floor
1349 fmax3604 fma 1 123456789 0.000001 -> 123456789 Inexact Rounded
1350 rounding: ceiling
1351 fmax3605 fma 1 123456789 0.000001 -> 123456790 Inexact Rounded
1352 rounding: up
1353 fmax3606 fma 1 123456789 0.000001 -> 123456790 Inexact Rounded
1354 rounding: down
1355 fmax3607 fma 1 123456789 0.000001 -> 123456789 Inexact Rounded
1356
1357 rounding: half_up
1358 fmax3611 fma 1 123456789 -0.000001 -> 123456789 Inexact Rounded
1359 rounding: half_even
1360 fmax3612 fma 1 123456789 -0.000001 -> 123456789 Inexact Rounded
1361 rounding: half_down
1362 fmax3613 fma 1 123456789 -0.000001 -> 123456789 Inexact Rounded
1363 rounding: floor
1364 fmax3614 fma 1 123456789 -0.000001 -> 123456788 Inexact Rounded
1365 rounding: ceiling
1366 fmax3615 fma 1 123456789 -0.000001 -> 123456789 Inexact Rounded
1367 rounding: up
1368 fmax3616 fma 1 123456789 -0.000001 -> 123456789 Inexact Rounded
1369 rounding: down
1370 fmax3617 fma 1 123456789 -0.000001 -> 123456788 Inexact Rounded
1371
1372 rounding: half_up
1373 fmax3621 fma 1 123456789 0.499999 -> 123456789 Inexact Rounded
1374 rounding: half_even
1375 fmax3622 fma 1 123456789 0.499999 -> 123456789 Inexact Rounded
1376 rounding: half_down
1377 fmax3623 fma 1 123456789 0.499999 -> 123456789 Inexact Rounded
1378 rounding: floor
1379 fmax3624 fma 1 123456789 0.499999 -> 123456789 Inexact Rounded
1380 rounding: ceiling
1381 fmax3625 fma 1 123456789 0.499999 -> 123456790 Inexact Rounded
1382 rounding: up
1383 fmax3626 fma 1 123456789 0.499999 -> 123456790 Inexact Rounded
1384 rounding: down
1385 fmax3627 fma 1 123456789 0.499999 -> 123456789 Inexact Rounded
1386
1387 rounding: half_up
1388 fmax3631 fma 1 123456789 -0.499999 -> 123456789 Inexact Rounded
1389 rounding: half_even
1390 fmax3632 fma 1 123456789 -0.499999 -> 123456789 Inexact Rounded
1391 rounding: half_down
1392 fmax3633 fma 1 123456789 -0.499999 -> 123456789 Inexact Rounded
1393 rounding: floor
1394 fmax3634 fma 1 123456789 -0.499999 -> 123456788 Inexact Rounded
1395 rounding: ceiling
1396 fmax3635 fma 1 123456789 -0.499999 -> 123456789 Inexact Rounded
1397 rounding: up
1398 fmax3636 fma 1 123456789 -0.499999 -> 123456789 Inexact Rounded
1399 rounding: down
1400 fmax3637 fma 1 123456789 -0.499999 -> 123456788 Inexact Rounded
1401
1402 rounding: half_up
1403 fmax3641 fma 1 123456789 0.500001 -> 123456790 Inexact Rounded
1404 rounding: half_even
1405 fmax3642 fma 1 123456789 0.500001 -> 123456790 Inexact Rounded
1406 rounding: half_down
1407 fmax3643 fma 1 123456789 0.500001 -> 123456790 Inexact Rounded
1408 rounding: floor
1409 fmax3644 fma 1 123456789 0.500001 -> 123456789 Inexact Rounded
1410 rounding: ceiling
1411 fmax3645 fma 1 123456789 0.500001 -> 123456790 Inexact Rounded
1412 rounding: up
1413 fmax3646 fma 1 123456789 0.500001 -> 123456790 Inexact Rounded
1414 rounding: down
1415 fmax3647 fma 1 123456789 0.500001 -> 123456789 Inexact Rounded
1416
1417 rounding: half_up
1418 fmax3651 fma 1 123456789 -0.500001 -> 123456788 Inexact Rounded
1419 rounding: half_even
1420 fmax3652 fma 1 123456789 -0.500001 -> 123456788 Inexact Rounded
1421 rounding: half_down
1422 fmax3653 fma 1 123456789 -0.500001 -> 123456788 Inexact Rounded
1423 rounding: floor
1424 fmax3654 fma 1 123456789 -0.500001 -> 123456788 Inexact Rounded
1425 rounding: ceiling
1426 fmax3655 fma 1 123456789 -0.500001 -> 123456789 Inexact Rounded
1427 rounding: up
1428 fmax3656 fma 1 123456789 -0.500001 -> 123456789 Inexact Rounded
1429 rounding: down
1430 fmax3657 fma 1 123456789 -0.500001 -> 123456788 Inexact Rounded
1431
1432 -- long operand triangle
1433 rounding: half_up
1434 precision: 37
1435 fmax3660 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337114834538
1436 precision: 36
1437 fmax3661 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711483454 Inexact Rounded
1438 precision: 35
1439 fmax3662 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371148345 Inexact Rounded
1440 precision: 34
1441 fmax3663 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337114835 Inexact Rounded
1442 precision: 33
1443 fmax3664 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711483 Inexact Rounded
1444 precision: 32
1445 fmax3665 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371148 Inexact Rounded
1446 precision: 31
1447 fmax3666 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337115 Inexact Rounded
1448 precision: 30
1449 fmax3667 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711 Inexact Rounded
1450 precision: 29
1451 fmax3668 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371 Inexact Rounded
1452 precision: 28
1453 fmax3669 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337 Inexact Rounded
1454 precision: 27
1455 fmax3670 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892234 Inexact Rounded
1456 precision: 26
1457 fmax3671 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223 Inexact Rounded
1458 precision: 25
1459 fmax3672 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922 Inexact Rounded
1460 precision: 24
1461 fmax3673 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892 Inexact Rounded
1462 precision: 23
1463 fmax3674 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389 Inexact Rounded
1464 precision: 22
1465 fmax3675 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023639 Inexact Rounded
1466 precision: 21
1467 fmax3676 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102364 Inexact Rounded
1468 precision: 20
1469 fmax3677 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236 Inexact Rounded
1470 precision: 19
1471 fmax3678 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211024 Inexact Rounded
1472 precision: 18
1473 fmax3679 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102 Inexact Rounded
1474 precision: 17
1475 fmax3680 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110 Inexact Rounded
1476 precision: 16
1477 fmax3681 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211 Inexact Rounded
1478 precision: 15
1479 fmax3682 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221 Inexact Rounded
1480 precision: 14
1481 fmax3683 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422 Inexact Rounded
1482 precision: 13
1483 fmax3684 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42 Inexact Rounded
1484 precision: 12
1485 fmax3685 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4 Inexact Rounded
1486 precision: 11
1487 fmax3686 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166 Inexact Rounded
1488 precision: 10
1489 fmax3687 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847117417E+10 Inexact Rounded
1490 precision: 9
1491 fmax3688 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.84711742E+10 Inexact Rounded
1492 precision: 8
1493 fmax3689 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8471174E+10 Inexact Rounded
1494 precision: 7
1495 fmax3690 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847117E+10 Inexact Rounded
1496 precision: 6
1497 fmax3691 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.84712E+10 Inexact Rounded
1498 precision: 5
1499 fmax3692 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8471E+10 Inexact Rounded
1500 precision: 4
1501 fmax3693 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847E+10 Inexact Rounded
1502 precision: 3
1503 fmax3694 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.85E+10 Inexact Rounded
1504 precision: 2
1505 fmax3695 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8E+10 Inexact Rounded
1506 precision: 1
1507 fmax3696 fma 1 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 1E+11 Inexact Rounded
1508
1509 -- more zeros, etc.
1510 rounding: half_up
1511 precision: 9
1512
1513 fmax3701 fma 1 5.00 1.00E-3 -> 5.00100
1514 fmax3702 fma 1 00.00 0.000 -> 0.000
1515 fmax3703 fma 1 00.00 0E-3 -> 0.000
1516 fmax3704 fma 1 0E-3 00.00 -> 0.000
1517
1518 fmax3710 fma 1 0E+3 00.00 -> 0.00
1519 fmax3711 fma 1 0E+3 00.0 -> 0.0
1520 fmax3712 fma 1 0E+3 00. -> 0
1521 fmax3713 fma 1 0E+3 00.E+1 -> 0E+1
1522 fmax3714 fma 1 0E+3 00.E+2 -> 0E+2
1523 fmax3715 fma 1 0E+3 00.E+3 -> 0E+3
1524 fmax3716 fma 1 0E+3 00.E+4 -> 0E+3
1525 fmax3717 fma 1 0E+3 00.E+5 -> 0E+3
1526 fmax3718 fma 1 0E+3 -00.0 -> 0.0
1527 fmax3719 fma 1 0E+3 -00. -> 0
1528 fmax3731 fma 1 0E+3 -00.E+1 -> 0E+1
1529
1530 fmax3720 fma 1 00.00 0E+3 -> 0.00
1531 fmax3721 fma 1 00.0 0E+3 -> 0.0
1532 fmax3722 fma 1 00. 0E+3 -> 0
1533 fmax3723 fma 1 00.E+1 0E+3 -> 0E+1
1534 fmax3724 fma 1 00.E+2 0E+3 -> 0E+2
1535 fmax3725 fma 1 00.E+3 0E+3 -> 0E+3
1536 fmax3726 fma 1 00.E+4 0E+3 -> 0E+3
1537 fmax3727 fma 1 00.E+5 0E+3 -> 0E+3
1538 fmax3728 fma 1 -00.00 0E+3 -> 0.00
1539 fmax3729 fma 1 -00.0 0E+3 -> 0.0
1540 fmax3730 fma 1 -00. 0E+3 -> 0
1541
1542 fmax3732 fma 1 0 0 -> 0
1543 fmax3733 fma 1 0 -0 -> 0
1544 fmax3734 fma 1 -0 0 -> 0
1545 fmax3735 fma 1 -0 -0 -> -0 -- IEEE 854 special case
1546
1547 fmax3736 fma 1 1 -1 -> 0
1548 fmax3737 fma 1 -1 -1 -> -2
1549 fmax3738 fma 1 1 1 -> 2
1550 fmax3739 fma 1 -1 1 -> 0
1551
1552 fmax3741 fma 1 0 -1 -> -1
1553 fmax3742 fma 1 -0 -1 -> -1
1554 fmax3743 fma 1 0 1 -> 1
1555 fmax3744 fma 1 -0 1 -> 1
1556 fmax3745 fma 1 -1 0 -> -1
1557 fmax3746 fma 1 -1 -0 -> -1
1558 fmax3747 fma 1 1 0 -> 1
1559 fmax3748 fma 1 1 -0 -> 1
1560
1561 fmax3751 fma 1 0.0 -1 -> -1.0
1562 fmax3752 fma 1 -0.0 -1 -> -1.0
1563 fmax3753 fma 1 0.0 1 -> 1.0
1564 fmax3754 fma 1 -0.0 1 -> 1.0
1565 fmax3755 fma 1 -1.0 0 -> -1.0
1566 fmax3756 fma 1 -1.0 -0 -> -1.0
1567 fmax3757 fma 1 1.0 0 -> 1.0
1568 fmax3758 fma 1 1.0 -0 -> 1.0
1569
1570 fmax3761 fma 1 0 -1.0 -> -1.0
1571 fmax3762 fma 1 -0 -1.0 -> -1.0
1572 fmax3763 fma 1 0 1.0 -> 1.0
1573 fmax3764 fma 1 -0 1.0 -> 1.0
1574 fmax3765 fma 1 -1 0.0 -> -1.0
1575 fmax3766 fma 1 -1 -0.0 -> -1.0
1576 fmax3767 fma 1 1 0.0 -> 1.0
1577 fmax3768 fma 1 1 -0.0 -> 1.0
1578
1579 fmax3771 fma 1 0.0 -1.0 -> -1.0
1580 fmax3772 fma 1 -0.0 -1.0 -> -1.0
1581 fmax3773 fma 1 0.0 1.0 -> 1.0
1582 fmax3774 fma 1 -0.0 1.0 -> 1.0
1583 fmax3775 fma 1 -1.0 0.0 -> -1.0
1584 fmax3776 fma 1 -1.0 -0.0 -> -1.0
1585 fmax3777 fma 1 1.0 0.0 -> 1.0
1586 fmax3778 fma 1 1.0 -0.0 -> 1.0
1587
1588 -- Specials
1589 fmax3780 fma 1 -Inf -Inf -> -Infinity
1590 fmax3781 fma 1 -Inf -1000 -> -Infinity
1591 fmax3782 fma 1 -Inf -1 -> -Infinity
1592 fmax3783 fma 1 -Inf -0 -> -Infinity
1593 fmax3784 fma 1 -Inf 0 -> -Infinity
1594 fmax3785 fma 1 -Inf 1 -> -Infinity
1595 fmax3786 fma 1 -Inf 1000 -> -Infinity
1596 fmax3787 fma 1 -1000 -Inf -> -Infinity
1597 fmax3788 fma 1 -Inf -Inf -> -Infinity
1598 fmax3789 fma 1 -1 -Inf -> -Infinity
1599 fmax3790 fma 1 -0 -Inf -> -Infinity
1600 fmax3791 fma 1 0 -Inf -> -Infinity
1601 fmax3792 fma 1 1 -Inf -> -Infinity
1602 fmax3793 fma 1 1000 -Inf -> -Infinity
1603 fmax3794 fma 1 Inf -Inf -> NaN Invalid_operation
1604
1605 fmax3800 fma 1 Inf -Inf -> NaN Invalid_operation
1606 fmax3801 fma 1 Inf -1000 -> Infinity
1607 fmax3802 fma 1 Inf -1 -> Infinity
1608 fmax3803 fma 1 Inf -0 -> Infinity
1609 fmax3804 fma 1 Inf 0 -> Infinity
1610 fmax3805 fma 1 Inf 1 -> Infinity
1611 fmax3806 fma 1 Inf 1000 -> Infinity
1612 fmax3807 fma 1 Inf Inf -> Infinity
1613 fmax3808 fma 1 -1000 Inf -> Infinity
1614 fmax3809 fma 1 -Inf Inf -> NaN Invalid_operation
1615 fmax3810 fma 1 -1 Inf -> Infinity
1616 fmax3811 fma 1 -0 Inf -> Infinity
1617 fmax3812 fma 1 0 Inf -> Infinity
1618 fmax3813 fma 1 1 Inf -> Infinity
1619 fmax3814 fma 1 1000 Inf -> Infinity
1620 fmax3815 fma 1 Inf Inf -> Infinity
1621
1622 fmax3821 fma 1 NaN -Inf -> NaN
1623 fmax3822 fma 1 NaN -1000 -> NaN
1624 fmax3823 fma 1 NaN -1 -> NaN
1625 fmax3824 fma 1 NaN -0 -> NaN
1626 fmax3825 fma 1 NaN 0 -> NaN
1627 fmax3826 fma 1 NaN 1 -> NaN
1628 fmax3827 fma 1 NaN 1000 -> NaN
1629 fmax3828 fma 1 NaN Inf -> NaN
1630 fmax3829 fma 1 NaN NaN -> NaN
1631 fmax3830 fma 1 -Inf NaN -> NaN
1632 fmax3831 fma 1 -1000 NaN -> NaN
1633 fmax3832 fma 1 -1 NaN -> NaN
1634 fmax3833 fma 1 -0 NaN -> NaN
1635 fmax3834 fma 1 0 NaN -> NaN
1636 fmax3835 fma 1 1 NaN -> NaN
1637 fmax3836 fma 1 1000 NaN -> NaN
1638 fmax3837 fma 1 Inf NaN -> NaN
1639
1640 fmax3841 fma 1 sNaN -Inf -> NaN Invalid_operation
1641 fmax3842 fma 1 sNaN -1000 -> NaN Invalid_operation
1642 fmax3843 fma 1 sNaN -1 -> NaN Invalid_operation
1643 fmax3844 fma 1 sNaN -0 -> NaN Invalid_operation
1644 fmax3845 fma 1 sNaN 0 -> NaN Invalid_operation
1645 fmax3846 fma 1 sNaN 1 -> NaN Invalid_operation
1646 fmax3847 fma 1 sNaN 1000 -> NaN Invalid_operation
1647 fmax3848 fma 1 sNaN NaN -> NaN Invalid_operation
1648 fmax3849 fma 1 sNaN sNaN -> NaN Invalid_operation
1649 fmax3850 fma 1 NaN sNaN -> NaN Invalid_operation
1650 fmax3851 fma 1 -Inf sNaN -> NaN Invalid_operation
1651 fmax3852 fma 1 -1000 sNaN -> NaN Invalid_operation
1652 fmax3853 fma 1 -1 sNaN -> NaN Invalid_operation
1653 fmax3854 fma 1 -0 sNaN -> NaN Invalid_operation
1654 fmax3855 fma 1 0 sNaN -> NaN Invalid_operation
1655 fmax3856 fma 1 1 sNaN -> NaN Invalid_operation
1656 fmax3857 fma 1 1000 sNaN -> NaN Invalid_operation
1657 fmax3858 fma 1 Inf sNaN -> NaN Invalid_operation
1658 fmax3859 fma 1 NaN sNaN -> NaN Invalid_operation
1659
1660 -- propagating NaNs
1661 fmax3861 fma 1 NaN1 -Inf -> NaN1
1662 fmax3862 fma 1 +NaN2 -1000 -> NaN2
1663 fmax3863 fma 1 NaN3 1000 -> NaN3
1664 fmax3864 fma 1 NaN4 Inf -> NaN4
1665 fmax3865 fma 1 NaN5 +NaN6 -> NaN5
1666 fmax3866 fma 1 -Inf NaN7 -> NaN7
1667 fmax3867 fma 1 -1000 NaN8 -> NaN8
1668 fmax3868 fma 1 1000 NaN9 -> NaN9
1669 fmax3869 fma 1 Inf +NaN10 -> NaN10
1670 fmax3871 fma 1 sNaN11 -Inf -> NaN11 Invalid_operation
1671 fmax3872 fma 1 sNaN12 -1000 -> NaN12 Invalid_operation
1672 fmax3873 fma 1 sNaN13 1000 -> NaN13 Invalid_operation
1673 fmax3874 fma 1 sNaN14 NaN17 -> NaN14 Invalid_operation
1674 fmax3875 fma 1 sNaN15 sNaN18 -> NaN15 Invalid_operation
1675 fmax3876 fma 1 NaN16 sNaN19 -> NaN19 Invalid_operation
1676 fmax3877 fma 1 -Inf +sNaN20 -> NaN20 Invalid_operation
1677 fmax3878 fma 1 -1000 sNaN21 -> NaN21 Invalid_operation
1678 fmax3879 fma 1 1000 sNaN22 -> NaN22 Invalid_operation
1679 fmax3880 fma 1 Inf sNaN23 -> NaN23 Invalid_operation
1680 fmax3881 fma 1 +NaN25 +sNaN24 -> NaN24 Invalid_operation
1681 fmax3882 fma 1 -NaN26 NaN28 -> -NaN26
1682 fmax3883 fma 1 -sNaN27 sNaN29 -> -NaN27 Invalid_operation
1683 fmax3884 fma 1 1000 -NaN30 -> -NaN30
1684 fmax3885 fma 1 1000 -sNaN31 -> -NaN31 Invalid_operation
1685
1686 -- overflow, underflow and subnormal tests
1687 maxexponent: 999999
1688 minexponent: -999999
1689 precision: 9
1690 fmax3890 fma 1 1E+999999 9E+999999 -> Infinity Overflow Inexact Rounded
1691 fmax3891 fma 1 9E+999999 1E+999999 -> Infinity Overflow Inexact Rounded
1692 fmax3892 fma 1 -1.1E-999999 1E-999999 -> -1E-1000000 Subnormal
1693 fmax3893 fma 1 1E-999999 -1.1e-999999 -> -1E-1000000 Subnormal
1694 fmax3894 fma 1 -1.0001E-999999 1E-999999 -> -1E-1000003 Subnormal
1695 fmax3895 fma 1 1E-999999 -1.0001e-999999 -> -1E-1000003 Subnormal
1696 fmax3896 fma 1 -1E+999999 -9E+999999 -> -Infinity Overflow Inexact Rounded
1697 fmax3897 fma 1 -9E+999999 -1E+999999 -> -Infinity Overflow Inexact Rounded
1698 fmax3898 fma 1 +1.1E-999999 -1E-999999 -> 1E-1000000 Subnormal
1699 fmax3899 fma 1 -1E-999999 +1.1e-999999 -> 1E-1000000 Subnormal
1700 fmax3900 fma 1 +1.0001E-999999 -1E-999999 -> 1E-1000003 Subnormal
1701 fmax3901 fma 1 -1E-999999 +1.0001e-999999 -> 1E-1000003 Subnormal
1702 fmax3902 fma 1 -1E+999999 +9E+999999 -> 8E+999999
1703 fmax3903 fma 1 -9E+999999 +1E+999999 -> -8E+999999
1704
1705 precision: 3
1706 fmax3904 fma 1 0 -9.999E+999999 -> -Infinity Inexact Overflow Rounded
1707 fmax3905 fma 1 -9.999E+999999 0 -> -Infinity Inexact Overflow Rounded
1708 fmax3906 fma 1 0 9.999E+999999 -> Infinity Inexact Overflow Rounded
1709 fmax3907 fma 1 9.999E+999999 0 -> Infinity Inexact Overflow Rounded
1710
1711 precision: 3
1712 maxexponent: 999
1713 minexponent: -999
1714 fmax3910 fma 1 1.00E-999 0 -> 1.00E-999
1715 fmax3911 fma 1 0.1E-999 0 -> 1E-1000 Subnormal
1716 fmax3912 fma 1 0.10E-999 0 -> 1.0E-1000 Subnormal
1717 fmax3913 fma 1 0.100E-999 0 -> 1.0E-1000 Subnormal Rounded
1718 fmax3914 fma 1 0.01E-999 0 -> 1E-1001 Subnormal
1719 -- next is rounded to Nmin
1720 fmax3915 fma 1 0.999E-999 0 -> 1.00E-999 Inexact Rounded Subnormal Underflow
1721 fmax3916 fma 1 0.099E-999 0 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
1722 fmax3917 fma 1 0.009E-999 0 -> 1E-1001 Inexact Rounded Subnormal Underflow
1723 fmax3918 fma 1 0.001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
1724 fmax3919 fma 1 0.0009E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
1725 fmax3920 fma 1 0.0001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped
1726
1727 fmax3930 fma 1 -1.00E-999 0 -> -1.00E-999
1728 fmax3931 fma 1 -0.1E-999 0 -> -1E-1000 Subnormal
1729 fmax3932 fma 1 -0.10E-999 0 -> -1.0E-1000 Subnormal
1730 fmax3933 fma 1 -0.100E-999 0 -> -1.0E-1000 Subnormal Rounded
1731 fmax3934 fma 1 -0.01E-999 0 -> -1E-1001 Subnormal
1732 -- next is rounded to Nmin
1733 fmax3935 fma 1 -0.999E-999 0 -> -1.00E-999 Inexact Rounded Subnormal Underflow
1734 fmax3936 fma 1 -0.099E-999 0 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
1735 fmax3937 fma 1 -0.009E-999 0 -> -1E-1001 Inexact Rounded Subnormal Underflow
1736 fmax3938 fma 1 -0.001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
1737 fmax3939 fma 1 -0.0009E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
1738 fmax3940 fma 1 -0.0001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
1739
1740 -- some non-zero subnormal fma 1 s
1741 fmax3950 fma 1 1.00E-999 0.1E-999 -> 1.10E-999
1742 fmax3951 fma 1 0.1E-999 0.1E-999 -> 2E-1000 Subnormal
1743 fmax3952 fma 1 0.10E-999 0.1E-999 -> 2.0E-1000 Subnormal
1744 fmax3953 fma 1 0.100E-999 0.1E-999 -> 2.0E-1000 Subnormal Rounded
1745 fmax3954 fma 1 0.01E-999 0.1E-999 -> 1.1E-1000 Subnormal
1746 fmax3955 fma 1 0.999E-999 0.1E-999 -> 1.10E-999 Inexact Rounded
1747 fmax3956 fma 1 0.099E-999 0.1E-999 -> 2.0E-1000 Inexact Rounded Subnormal Underflow
1748 fmax3957 fma 1 0.009E-999 0.1E-999 -> 1.1E-1000 Inexact Rounded Subnormal Underflow
1749 fmax3958 fma 1 0.001E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
1750 fmax3959 fma 1 0.0009E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
1751 fmax3960 fma 1 0.0001E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow
1752 -- negatives...
1753 fmax3961 fma 1 1.00E-999 -0.1E-999 -> 9.0E-1000 Subnormal
1754 fmax3962 fma 1 0.1E-999 -0.1E-999 -> 0E-1000
1755 fmax3963 fma 1 0.10E-999 -0.1E-999 -> 0E-1001
1756 fmax3964 fma 1 0.100E-999 -0.1E-999 -> 0E-1001 Clamped
1757 fmax3965 fma 1 0.01E-999 -0.1E-999 -> -9E-1001 Subnormal
1758 fmax3966 fma 1 0.999E-999 -0.1E-999 -> 9.0E-1000 Inexact Rounded Subnormal Underflow
1759 fmax3967 fma 1 0.099E-999 -0.1E-999 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped
1760 fmax3968 fma 1 0.009E-999 -0.1E-999 -> -9E-1001 Inexact Rounded Subnormal Underflow
1761 fmax3969 fma 1 0.001E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
1762 fmax3970 fma 1 0.0009E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
1763 fmax3971 fma 1 0.0001E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow
1764
1765 -- some 'real' numbers
1766 maxExponent: 384
1767 minExponent: -383
1768 precision: 8
1769 fmax3566 fma 1 99999061735E-394 0E-394 -> 9.999906E-384 Inexact Rounded Underflow Subnormal
1770 precision: 7
1771 fmax3567 fma 1 99999061735E-394 0E-394 -> 9.99991E-384 Inexact Rounded Underflow Subnormal
1772 precision: 6
1773 fmax3568 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]
1778 precision: 16
1779 rounding: half_up
1780 maxExponent: 384
1781 minExponent: -383
1782
1783 fmax3571 fma 1 1E-383 0 -> 1E-383
1784 fmax3572 fma 1 1E-384 0 -> 1E-384 Subnormal
1785 fmax3573 fma 1 1E-383 1E-384 -> 1.1E-383
1786 fmax3574 subtract 1E-383 1E-384 -> 9E-384 Subnormal
1787
1788 -- Here we explore the boundary of rounding a subnormal to Nmin
1789 fmax3575 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal
1790 fmax3576 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal
1791 fmax3577 subtract 1E-383 1E-399 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
1792 fmax3578 subtract 1E-383 1E-400 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
1793 fmax3579 subtract 1E-383 1E-401 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
1794 fmax3580 subtract 1E-383 1E-402 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
1795
1796 -- check for double-rounded subnormals
1797 precision: 5
1798 maxexponent: 79
1799 minexponent: -79
1800 -- Add: lhs and rhs 0
1801 fmax31001 fma 1 1.52444E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1802 fmax31002 fma 1 1.52445E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1803 fmax31003 fma 1 1.52446E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1804 fmax31004 fma 1 0 1.52444E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1805 fmax31005 fma 1 0 1.52445E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1806 fmax31006 fma 1 0 1.52446E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1807
1808 -- Add: lhs >> rhs and vice versa
1809 fmax31011 fma 1 1.52444E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1810 fmax31012 fma 1 1.52445E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1811 fmax31013 fma 1 1.52446E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1812 fmax31014 fma 1 1E-100 1.52444E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1813 fmax31015 fma 1 1E-100 1.52445E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1814 fmax31016 fma 1 1E-100 1.52446E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow
1815
1816 -- Add: lhs + rhs fma 1 ition carried out
1817 fmax31021 fma 1 1.52443E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
1818 fmax31022 fma 1 1.52444E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
1819 fmax31023 fma 1 1.52445E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
1820 fmax31024 fma 1 1.00001E-80 1.52443E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
1821 fmax31025 fma 1 1.00001E-80 1.52444E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow
1822 fmax31026 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
1825 precision: 16
1826 maxExponent: +384
1827 minExponent: -383
1828 rounding: down
1829
1830 fmax31100 fma 1 1e+2 -1e-383 -> 99.99999999999999 Rounded Inexact
1831 fmax31101 fma 1 1e+1 -1e-383 -> 9.999999999999999 Rounded Inexact
1832 fmax31103 fma 1 +1 -1e-383 -> 0.9999999999999999 Rounded Inexact
1833 fmax31104 fma 1 1e-1 -1e-383 -> 0.09999999999999999 Rounded Inexact
1834 fmax31105 fma 1 1e-2 -1e-383 -> 0.009999999999999999 Rounded Inexact
1835 fmax31106 fma 1 1e-3 -1e-383 -> 0.0009999999999999999 Rounded Inexact
1836 fmax31107 fma 1 1e-4 -1e-383 -> 0.00009999999999999999 Rounded Inexact
1837 fmax31108 fma 1 1e-5 -1e-383 -> 0.000009999999999999999 Rounded Inexact
1838 fmax31109 fma 1 1e-6 -1e-383 -> 9.999999999999999E-7 Rounded Inexact
1839
1840 rounding: ceiling
1841 fmax31110 fma 1 -1e+2 +1e-383 -> -99.99999999999999 Rounded Inexact
1842 fmax31111 fma 1 -1e+1 +1e-383 -> -9.999999999999999 Rounded Inexact
1843 fmax31113 fma 1 -1 +1e-383 -> -0.9999999999999999 Rounded Inexact
1844 fmax31114 fma 1 -1e-1 +1e-383 -> -0.09999999999999999 Rounded Inexact
1845 fmax31115 fma 1 -1e-2 +1e-383 -> -0.009999999999999999 Rounded Inexact
1846 fmax31116 fma 1 -1e-3 +1e-383 -> -0.0009999999999999999 Rounded Inexact
1847 fmax31117 fma 1 -1e-4 +1e-383 -> -0.00009999999999999999 Rounded Inexact
1848 fmax31118 fma 1 -1e-5 +1e-383 -> -0.000009999999999999999 Rounded Inexact
1849 fmax31119 fma 1 -1e-6 +1e-383 -> -9.999999999999999E-7 Rounded Inexact
1850
1851 rounding: down
1852 precision: 7
1853 maxExponent: +96
1854 minExponent: -95
1855 fmax31130 fma 1 1 -1e-200 -> 0.9999999 Rounded Inexact
1856 -- subnormal boundary
1857 fmax31131 fma 1 1.000000E-94 -1e-200 -> 9.999999E-95 Rounded Inexact
1858 fmax31132 fma 1 1.000001E-95 -1e-200 -> 1.000000E-95 Rounded Inexact
1859 fmax31133 fma 1 1.000000E-95 -1e-200 -> 9.99999E-96 Rounded Inexact Subnormal Underflow
1860 fmax31134 fma 1 0.999999E-95 -1e-200 -> 9.99998E-96 Rounded Inexact Subnormal Underflow
1861 fmax31135 fma 1 0.001000E-95 -1e-200 -> 9.99E-99 Rounded Inexact Subnormal Underflow
1862 fmax31136 fma 1 0.000999E-95 -1e-200 -> 9.98E-99 Rounded Inexact Subnormal Underflow
1863 fmax31137 fma 1 1.000000E-95 -1e-101 -> 9.99999E-96 Subnormal
1864 fmax31138 fma 1 10000E-101 -1e-200 -> 9.999E-98 Subnormal Inexact Rounded Underflow
1865 fmax31139 fma 1 1000E-101 -1e-200 -> 9.99E-99 Subnormal Inexact Rounded Underflow
1866 fmax31140 fma 1 100E-101 -1e-200 -> 9.9E-100 Subnormal Inexact Rounded Underflow
1867 fmax31141 fma 1 10E-101 -1e-200 -> 9E-101 Subnormal Inexact Rounded Underflow
1868 fmax31142 fma 1 1E-101 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
1869 fmax31143 fma 1 0E-101 -1e-200 -> -0E-101 Subnormal Inexact Rounded Underflow Clamped
1870 fmax31144 fma 1 1E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
1871
1872 fmax31151 fma 1 10000E-102 -1e-200 -> 9.99E-99 Subnormal Inexact Rounded Underflow
1873 fmax31152 fma 1 1000E-102 -1e-200 -> 9.9E-100 Subnormal Inexact Rounded Underflow
1874 fmax31153 fma 1 100E-102 -1e-200 -> 9E-101 Subnormal Inexact Rounded Underflow
1875 fmax31154 fma 1 10E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
1876 fmax31155 fma 1 1E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
1877 fmax31156 fma 1 0E-102 -1e-200 -> -0E-101 Subnormal Inexact Rounded Underflow Clamped
1878 fmax31157 fma 1 1E-103 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
1879
1880 fmax31160 fma 1 100E-105 -1e-101 -> -0E-101 Subnormal Inexact Rounded Underflow Clamped
1881 fmax31161 fma 1 100E-105 -1e-201 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped
1882
1883 -- tests based on Gunnar Degnbol's edge case
1884 precision: 15
1885 rounding: half_up
1886 maxExponent: 384
1887 minexponent: -383
1888
1889 fmax31200 fma 1 1E15 -0.5 -> 1.00000000000000E+15 Inexact Rounded
1890 fmax31201 fma 1 1E15 -0.50 -> 1.00000000000000E+15 Inexact Rounded
1891 fmax31210 fma 1 1E15 -0.51 -> 999999999999999 Inexact Rounded
1892 fmax31211 fma 1 1E15 -0.501 -> 999999999999999 Inexact Rounded
1893 fmax31212 fma 1 1E15 -0.5001 -> 999999999999999 Inexact Rounded
1894 fmax31213 fma 1 1E15 -0.50001 -> 999999999999999 Inexact Rounded
1895 fmax31214 fma 1 1E15 -0.500001 -> 999999999999999 Inexact Rounded
1896 fmax31215 fma 1 1E15 -0.5000001 -> 999999999999999 Inexact Rounded
1897 fmax31216 fma 1 1E15 -0.50000001 -> 999999999999999 Inexact Rounded
1898 fmax31217 fma 1 1E15 -0.500000001 -> 999999999999999 Inexact Rounded
1899 fmax31218 fma 1 1E15 -0.5000000001 -> 999999999999999 Inexact Rounded
1900 fmax31219 fma 1 1E15 -0.50000000001 -> 999999999999999 Inexact Rounded
1901 fmax31220 fma 1 1E15 -0.500000000001 -> 999999999999999 Inexact Rounded
1902 fmax31221 fma 1 1E15 -0.5000000000001 -> 999999999999999 Inexact Rounded
1903 fmax31222 fma 1 1E15 -0.50000000000001 -> 999999999999999 Inexact Rounded
1904 fmax31223 fma 1 1E15 -0.500000000000001 -> 999999999999999 Inexact Rounded
1905 fmax31224 fma 1 1E15 -0.5000000000000001 -> 999999999999999 Inexact Rounded
1906 fmax31225 fma 1 1E15 -0.5000000000000000 -> 1.00000000000000E+15 Inexact Rounded
1907 fmax31230 fma 1 1E15 -5000000.000000001 -> 999999995000000 Inexact Rounded
1908
1909 precision: 16
1910
1911 fmax31300 fma 1 1E16 -0.5 -> 1.000000000000000E+16 Inexact Rounded
1912 fmax31310 fma 1 1E16 -0.51 -> 9999999999999999 Inexact Rounded
1913 fmax31311 fma 1 1E16 -0.501 -> 9999999999999999 Inexact Rounded
1914 fmax31312 fma 1 1E16 -0.5001 -> 9999999999999999 Inexact Rounded
1915 fmax31313 fma 1 1E16 -0.50001 -> 9999999999999999 Inexact Rounded
1916 fmax31314 fma 1 1E16 -0.500001 -> 9999999999999999 Inexact Rounded
1917 fmax31315 fma 1 1E16 -0.5000001 -> 9999999999999999 Inexact Rounded
1918 fmax31316 fma 1 1E16 -0.50000001 -> 9999999999999999 Inexact Rounded
1919 fmax31317 fma 1 1E16 -0.500000001 -> 9999999999999999 Inexact Rounded
1920 fmax31318 fma 1 1E16 -0.5000000001 -> 9999999999999999 Inexact Rounded
1921 fmax31319 fma 1 1E16 -0.50000000001 -> 9999999999999999 Inexact Rounded
1922 fmax31320 fma 1 1E16 -0.500000000001 -> 9999999999999999 Inexact Rounded
1923 fmax31321 fma 1 1E16 -0.5000000000001 -> 9999999999999999 Inexact Rounded
1924 fmax31322 fma 1 1E16 -0.50000000000001 -> 9999999999999999 Inexact Rounded
1925 fmax31323 fma 1 1E16 -0.500000000000001 -> 9999999999999999 Inexact Rounded
1926 fmax31324 fma 1 1E16 -0.5000000000000001 -> 9999999999999999 Inexact Rounded
1927 fmax31325 fma 1 1E16 -0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded
1928 fmax31326 fma 1 1E16 -0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded
1929 fmax31327 fma 1 1E16 -0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded
1930 fmax31328 fma 1 1E16 -0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded
1931 fmax31329 fma 1 1E16 -0.500000000000 -> 1.000000000000000E+16 Inexact Rounded
1932 fmax31330 fma 1 1E16 -0.50000000000 -> 1.000000000000000E+16 Inexact Rounded
1933 fmax31331 fma 1 1E16 -0.5000000000 -> 1.000000000000000E+16 Inexact Rounded
1934 fmax31332 fma 1 1E16 -0.500000000 -> 1.000000000000000E+16 Inexact Rounded
1935 fmax31333 fma 1 1E16 -0.50000000 -> 1.000000000000000E+16 Inexact Rounded
1936 fmax31334 fma 1 1E16 -0.5000000 -> 1.000000000000000E+16 Inexact Rounded
1937 fmax31335 fma 1 1E16 -0.500000 -> 1.000000000000000E+16 Inexact Rounded
1938 fmax31336 fma 1 1E16 -0.50000 -> 1.000000000000000E+16 Inexact Rounded
1939 fmax31337 fma 1 1E16 -0.5000 -> 1.000000000000000E+16 Inexact Rounded
1940 fmax31338 fma 1 1E16 -0.500 -> 1.000000000000000E+16 Inexact Rounded
1941 fmax31339 fma 1 1E16 -0.50 -> 1.000000000000000E+16 Inexact Rounded
1942
1943 fmax31340 fma 1 1E16 -5000000.000010001 -> 9999999995000000 Inexact Rounded
1944 fmax31341 fma 1 1E16 -5000000.000000001 -> 9999999995000000 Inexact Rounded
1945
1946 fmax31349 fma 1 9999999999999999 0.4 -> 9999999999999999 Inexact Rounded
1947 fmax31350 fma 1 9999999999999999 0.49 -> 9999999999999999 Inexact Rounded
1948 fmax31351 fma 1 9999999999999999 0.499 -> 9999999999999999 Inexact Rounded
1949 fmax31352 fma 1 9999999999999999 0.4999 -> 9999999999999999 Inexact Rounded
1950 fmax31353 fma 1 9999999999999999 0.49999 -> 9999999999999999 Inexact Rounded
1951 fmax31354 fma 1 9999999999999999 0.499999 -> 9999999999999999 Inexact Rounded
1952 fmax31355 fma 1 9999999999999999 0.4999999 -> 9999999999999999 Inexact Rounded
1953 fmax31356 fma 1 9999999999999999 0.49999999 -> 9999999999999999 Inexact Rounded
1954 fmax31357 fma 1 9999999999999999 0.499999999 -> 9999999999999999 Inexact Rounded
1955 fmax31358 fma 1 9999999999999999 0.4999999999 -> 9999999999999999 Inexact Rounded
1956 fmax31359 fma 1 9999999999999999 0.49999999999 -> 9999999999999999 Inexact Rounded
1957 fmax31360 fma 1 9999999999999999 0.499999999999 -> 9999999999999999 Inexact Rounded
1958 fmax31361 fma 1 9999999999999999 0.4999999999999 -> 9999999999999999 Inexact Rounded
1959 fmax31362 fma 1 9999999999999999 0.49999999999999 -> 9999999999999999 Inexact Rounded
1960 fmax31363 fma 1 9999999999999999 0.499999999999999 -> 9999999999999999 Inexact Rounded
1961 fmax31364 fma 1 9999999999999999 0.4999999999999999 -> 9999999999999999 Inexact Rounded
1962 fmax31365 fma 1 9999999999999999 0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded
1963 fmax31367 fma 1 9999999999999999 0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded
1964 fmax31368 fma 1 9999999999999999 0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded
1965 fmax31369 fma 1 9999999999999999 0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded
1966 fmax31370 fma 1 9999999999999999 0.500000000000 -> 1.000000000000000E+16 Inexact Rounded
1967 fmax31371 fma 1 9999999999999999 0.50000000000 -> 1.000000000000000E+16 Inexact Rounded
1968 fmax31372 fma 1 9999999999999999 0.5000000000 -> 1.000000000000000E+16 Inexact Rounded
1969 fmax31373 fma 1 9999999999999999 0.500000000 -> 1.000000000000000E+16 Inexact Rounded
1970 fmax31374 fma 1 9999999999999999 0.50000000 -> 1.000000000000000E+16 Inexact Rounded
1971 fmax31375 fma 1 9999999999999999 0.5000000 -> 1.000000000000000E+16 Inexact Rounded
1972 fmax31376 fma 1 9999999999999999 0.500000 -> 1.000000000000000E+16 Inexact Rounded
1973 fmax31377 fma 1 9999999999999999 0.50000 -> 1.000000000000000E+16 Inexact Rounded
1974 fmax31378 fma 1 9999999999999999 0.5000 -> 1.000000000000000E+16 Inexact Rounded
1975 fmax31379 fma 1 9999999999999999 0.500 -> 1.000000000000000E+16 Inexact Rounded
1976 fmax31380 fma 1 9999999999999999 0.50 -> 1.000000000000000E+16 Inexact Rounded
1977 fmax31381 fma 1 9999999999999999 0.5 -> 1.000000000000000E+16 Inexact Rounded
1978 fmax31382 fma 1 9999999999999999 0.5000000000000001 -> 1.000000000000000E+16 Inexact Rounded
1979 fmax31383 fma 1 9999999999999999 0.500000000000001 -> 1.000000000000000E+16 Inexact Rounded
1980 fmax31384 fma 1 9999999999999999 0.50000000000001 -> 1.000000000000000E+16 Inexact Rounded
1981 fmax31385 fma 1 9999999999999999 0.5000000000001 -> 1.000000000000000E+16 Inexact Rounded
1982 fmax31386 fma 1 9999999999999999 0.500000000001 -> 1.000000000000000E+16 Inexact Rounded
1983 fmax31387 fma 1 9999999999999999 0.50000000001 -> 1.000000000000000E+16 Inexact Rounded
1984 fmax31388 fma 1 9999999999999999 0.5000000001 -> 1.000000000000000E+16 Inexact Rounded
1985 fmax31389 fma 1 9999999999999999 0.500000001 -> 1.000000000000000E+16 Inexact Rounded
1986 fmax31390 fma 1 9999999999999999 0.50000001 -> 1.000000000000000E+16 Inexact Rounded
1987 fmax31391 fma 1 9999999999999999 0.5000001 -> 1.000000000000000E+16 Inexact Rounded
1988 fmax31392 fma 1 9999999999999999 0.500001 -> 1.000000000000000E+16 Inexact Rounded
1989 fmax31393 fma 1 9999999999999999 0.50001 -> 1.000000000000000E+16 Inexact Rounded
1990 fmax31394 fma 1 9999999999999999 0.5001 -> 1.000000000000000E+16 Inexact Rounded
1991 fmax31395 fma 1 9999999999999999 0.501 -> 1.000000000000000E+16 Inexact Rounded
1992 fmax31396 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
1996 precision: 15
1997 rounding: half_up
1998 maxExponent: 384
1999 minexponent: -383
2000
2001 fmax31400 fma 1 0 1.23456789012345 -> 1.23456789012345
2002 fmax31401 fma 1 0 1.23456789012345E-1 -> 0.123456789012345
2003 fmax31402 fma 1 0 1.23456789012345E-2 -> 0.0123456789012345
2004 fmax31403 fma 1 0 1.23456789012345E-3 -> 0.00123456789012345
2005 fmax31404 fma 1 0 1.23456789012345E-4 -> 0.000123456789012345
2006 fmax31405 fma 1 0 1.23456789012345E-5 -> 0.0000123456789012345
2007 fmax31406 fma 1 0 1.23456789012345E-6 -> 0.00000123456789012345
2008 fmax31407 fma 1 0 1.23456789012345E-7 -> 1.23456789012345E-7
2009 fmax31408 fma 1 0 1.23456789012345E-8 -> 1.23456789012345E-8
2010 fmax31409 fma 1 0 1.23456789012345E-9 -> 1.23456789012345E-9
2011 fmax31410 fma 1 0 1.23456789012345E-10 -> 1.23456789012345E-10
2012 fmax31411 fma 1 0 1.23456789012345E-11 -> 1.23456789012345E-11
2013 fmax31412 fma 1 0 1.23456789012345E-12 -> 1.23456789012345E-12
2014 fmax31413 fma 1 0 1.23456789012345E-13 -> 1.23456789012345E-13
2015 fmax31414 fma 1 0 1.23456789012345E-14 -> 1.23456789012345E-14
2016 fmax31415 fma 1 0 1.23456789012345E-15 -> 1.23456789012345E-15
2017 fmax31416 fma 1 0 1.23456789012345E-16 -> 1.23456789012345E-16
2018 fmax31417 fma 1 0 1.23456789012345E-17 -> 1.23456789012345E-17
2019 fmax31418 fma 1 0 1.23456789012345E-18 -> 1.23456789012345E-18
2020 fmax31419 fma 1 0 1.23456789012345E-19 -> 1.23456789012345E-19
2021
2022 -- same, precision 16..
2023 precision: 16
2024 fmax31420 fma 1 0 1.123456789012345 -> 1.123456789012345
2025 fmax31421 fma 1 0 1.123456789012345E-1 -> 0.1123456789012345
2026 fmax31422 fma 1 0 1.123456789012345E-2 -> 0.01123456789012345
2027 fmax31423 fma 1 0 1.123456789012345E-3 -> 0.001123456789012345
2028 fmax31424 fma 1 0 1.123456789012345E-4 -> 0.0001123456789012345
2029 fmax31425 fma 1 0 1.123456789012345E-5 -> 0.00001123456789012345
2030 fmax31426 fma 1 0 1.123456789012345E-6 -> 0.000001123456789012345
2031 fmax31427 fma 1 0 1.123456789012345E-7 -> 1.123456789012345E-7
2032 fmax31428 fma 1 0 1.123456789012345E-8 -> 1.123456789012345E-8
2033 fmax31429 fma 1 0 1.123456789012345E-9 -> 1.123456789012345E-9
2034 fmax31430 fma 1 0 1.123456789012345E-10 -> 1.123456789012345E-10
2035 fmax31431 fma 1 0 1.123456789012345E-11 -> 1.123456789012345E-11
2036 fmax31432 fma 1 0 1.123456789012345E-12 -> 1.123456789012345E-12
2037 fmax31433 fma 1 0 1.123456789012345E-13 -> 1.123456789012345E-13
2038 fmax31434 fma 1 0 1.123456789012345E-14 -> 1.123456789012345E-14
2039 fmax31435 fma 1 0 1.123456789012345E-15 -> 1.123456789012345E-15
2040 fmax31436 fma 1 0 1.123456789012345E-16 -> 1.123456789012345E-16
2041 fmax31437 fma 1 0 1.123456789012345E-17 -> 1.123456789012345E-17
2042 fmax31438 fma 1 0 1.123456789012345E-18 -> 1.123456789012345E-18
2043 fmax31439 fma 1 0 1.123456789012345E-19 -> 1.123456789012345E-19
2044
2045 -- same, reversed 0
2046 fmax31440 fma 1 1.123456789012345 0 -> 1.123456789012345
2047 fmax31441 fma 1 1.123456789012345E-1 0 -> 0.1123456789012345
2048 fmax31442 fma 1 1.123456789012345E-2 0 -> 0.01123456789012345
2049 fmax31443 fma 1 1.123456789012345E-3 0 -> 0.001123456789012345
2050 fmax31444 fma 1 1.123456789012345E-4 0 -> 0.0001123456789012345
2051 fmax31445 fma 1 1.123456789012345E-5 0 -> 0.00001123456789012345
2052 fmax31446 fma 1 1.123456789012345E-6 0 -> 0.000001123456789012345
2053 fmax31447 fma 1 1.123456789012345E-7 0 -> 1.123456789012345E-7
2054 fmax31448 fma 1 1.123456789012345E-8 0 -> 1.123456789012345E-8
2055 fmax31449 fma 1 1.123456789012345E-9 0 -> 1.123456789012345E-9
2056 fmax31450 fma 1 1.123456789012345E-10 0 -> 1.123456789012345E-10
2057 fmax31451 fma 1 1.123456789012345E-11 0 -> 1.123456789012345E-11
2058 fmax31452 fma 1 1.123456789012345E-12 0 -> 1.123456789012345E-12
2059 fmax31453 fma 1 1.123456789012345E-13 0 -> 1.123456789012345E-13
2060 fmax31454 fma 1 1.123456789012345E-14 0 -> 1.123456789012345E-14
2061 fmax31455 fma 1 1.123456789012345E-15 0 -> 1.123456789012345E-15
2062 fmax31456 fma 1 1.123456789012345E-16 0 -> 1.123456789012345E-16
2063 fmax31457 fma 1 1.123456789012345E-17 0 -> 1.123456789012345E-17
2064 fmax31458 fma 1 1.123456789012345E-18 0 -> 1.123456789012345E-18
2065 fmax31459 fma 1 1.123456789012345E-19 0 -> 1.123456789012345E-19
2066
2067 -- same, Es on the 0
2068 fmax31460 fma 1 1.123456789012345 0E-0 -> 1.123456789012345
2069 fmax31461 fma 1 1.123456789012345 0E-1 -> 1.123456789012345
2070 fmax31462 fma 1 1.123456789012345 0E-2 -> 1.123456789012345
2071 fmax31463 fma 1 1.123456789012345 0E-3 -> 1.123456789012345
2072 fmax31464 fma 1 1.123456789012345 0E-4 -> 1.123456789012345
2073 fmax31465 fma 1 1.123456789012345 0E-5 -> 1.123456789012345
2074 fmax31466 fma 1 1.123456789012345 0E-6 -> 1.123456789012345
2075 fmax31467 fma 1 1.123456789012345 0E-7 -> 1.123456789012345
2076 fmax31468 fma 1 1.123456789012345 0E-8 -> 1.123456789012345
2077 fmax31469 fma 1 1.123456789012345 0E-9 -> 1.123456789012345
2078 fmax31470 fma 1 1.123456789012345 0E-10 -> 1.123456789012345
2079 fmax31471 fma 1 1.123456789012345 0E-11 -> 1.123456789012345
2080 fmax31472 fma 1 1.123456789012345 0E-12 -> 1.123456789012345
2081 fmax31473 fma 1 1.123456789012345 0E-13 -> 1.123456789012345
2082 fmax31474 fma 1 1.123456789012345 0E-14 -> 1.123456789012345
2083 fmax31475 fma 1 1.123456789012345 0E-15 -> 1.123456789012345
2084 -- next four flag Rounded because the 0 extends the result
2085 fmax31476 fma 1 1.123456789012345 0E-16 -> 1.123456789012345 Rounded
2086 fmax31477 fma 1 1.123456789012345 0E-17 -> 1.123456789012345 Rounded
2087 fmax31478 fma 1 1.123456789012345 0E-18 -> 1.123456789012345 Rounded
2088 fmax31479 fma 1 1.123456789012345 0E-19 -> 1.123456789012345 Rounded
2089
2090 -- sum of two opposite-sign operands is exactly 0 and floor => -0
2091 precision: 16
2092 maxExponent: 384
2093 minexponent: -383
2094
2095 rounding: half_up
2096 -- exact zeros from zeros
2097 fmax31500 fma 1 0 0E-19 -> 0E-19
2098 fmax31501 fma 1 -0 0E-19 -> 0E-19
2099 fmax31502 fma 1 0 -0E-19 -> 0E-19
2100 fmax31503 fma 1 -0 -0E-19 -> -0E-19
2101 fmax31504 fma 1 0E-400 0E-19 -> 0E-398 Clamped
2102 fmax31505 fma 1 -0E-400 0E-19 -> 0E-398 Clamped
2103 fmax31506 fma 1 0E-400 -0E-19 -> 0E-398 Clamped
2104 fmax31507 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped
2105 -- inexact zeros
2106 fmax31511 fma 1 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2107 fmax31512 fma 1 -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2108 fmax31513 fma 1 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2109 fmax31514 fma 1 -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2110 -- some exact zeros from non-zeros
2111 fmax31515 fma 1 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2112 fmax31516 fma 1 -1E-401 1E-401 -> 0E-398 Clamped
2113 fmax31517 fma 1 1E-401 -1E-401 -> 0E-398 Clamped
2114 fmax31518 fma 1 -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2115
2116 rounding: half_down
2117 -- exact zeros from zeros
2118 fmax31520 fma 1 0 0E-19 -> 0E-19
2119 fmax31521 fma 1 -0 0E-19 -> 0E-19
2120 fmax31522 fma 1 0 -0E-19 -> 0E-19
2121 fmax31523 fma 1 -0 -0E-19 -> -0E-19
2122 fmax31524 fma 1 0E-400 0E-19 -> 0E-398 Clamped
2123 fmax31525 fma 1 -0E-400 0E-19 -> 0E-398 Clamped
2124 fmax31526 fma 1 0E-400 -0E-19 -> 0E-398 Clamped
2125 fmax31527 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped
2126 -- inexact zeros
2127 fmax31531 fma 1 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2128 fmax31532 fma 1 -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2129 fmax31533 fma 1 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2130 fmax31534 fma 1 -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2131 -- some exact zeros from non-zeros
2132 fmax31535 fma 1 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2133 fmax31536 fma 1 -1E-401 1E-401 -> 0E-398 Clamped
2134 fmax31537 fma 1 1E-401 -1E-401 -> 0E-398 Clamped
2135 fmax31538 fma 1 -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2136
2137 rounding: half_even
2138 -- exact zeros from zeros
2139 fmax31540 fma 1 0 0E-19 -> 0E-19
2140 fmax31541 fma 1 -0 0E-19 -> 0E-19
2141 fmax31542 fma 1 0 -0E-19 -> 0E-19
2142 fmax31543 fma 1 -0 -0E-19 -> -0E-19
2143 fmax31544 fma 1 0E-400 0E-19 -> 0E-398 Clamped
2144 fmax31545 fma 1 -0E-400 0E-19 -> 0E-398 Clamped
2145 fmax31546 fma 1 0E-400 -0E-19 -> 0E-398 Clamped
2146 fmax31547 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped
2147 -- inexact zeros
2148 fmax31551 fma 1 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2149 fmax31552 fma 1 -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2150 fmax31553 fma 1 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2151 fmax31554 fma 1 -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2152 -- some exact zeros from non-zeros
2153 fmax31555 fma 1 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2154 fmax31556 fma 1 -1E-401 1E-401 -> 0E-398 Clamped
2155 fmax31557 fma 1 1E-401 -1E-401 -> 0E-398 Clamped
2156 fmax31558 fma 1 -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2157
2158 rounding: up
2159 -- exact zeros from zeros
2160 fmax31560 fma 1 0 0E-19 -> 0E-19
2161 fmax31561 fma 1 -0 0E-19 -> 0E-19
2162 fmax31562 fma 1 0 -0E-19 -> 0E-19
2163 fmax31563 fma 1 -0 -0E-19 -> -0E-19
2164 fmax31564 fma 1 0E-400 0E-19 -> 0E-398 Clamped
2165 fmax31565 fma 1 -0E-400 0E-19 -> 0E-398 Clamped
2166 fmax31566 fma 1 0E-400 -0E-19 -> 0E-398 Clamped
2167 fmax31567 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped
2168 -- inexact zeros
2169 fmax31571 fma 1 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
2170 fmax31572 fma 1 -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
2171 fmax31573 fma 1 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
2172 fmax31574 fma 1 -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
2173 -- some exact zeros from non-zeros
2174 fmax31575 fma 1 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow
2175 fmax31576 fma 1 -1E-401 1E-401 -> 0E-398 Clamped
2176 fmax31577 fma 1 1E-401 -1E-401 -> 0E-398 Clamped
2177 fmax31578 fma 1 -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow
2178
2179 rounding: down
2180 -- exact zeros from zeros
2181 fmax31580 fma 1 0 0E-19 -> 0E-19
2182 fmax31581 fma 1 -0 0E-19 -> 0E-19
2183 fmax31582 fma 1 0 -0E-19 -> 0E-19
2184 fmax31583 fma 1 -0 -0E-19 -> -0E-19
2185 fmax31584 fma 1 0E-400 0E-19 -> 0E-398 Clamped
2186 fmax31585 fma 1 -0E-400 0E-19 -> 0E-398 Clamped
2187 fmax31586 fma 1 0E-400 -0E-19 -> 0E-398 Clamped
2188 fmax31587 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped
2189 -- inexact zeros
2190 fmax31591 fma 1 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2191 fmax31592 fma 1 -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2192 fmax31593 fma 1 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2193 fmax31594 fma 1 -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2194 -- some exact zeros from non-zeros
2195 fmax31595 fma 1 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2196 fmax31596 fma 1 -1E-401 1E-401 -> 0E-398 Clamped
2197 fmax31597 fma 1 1E-401 -1E-401 -> 0E-398 Clamped
2198 fmax31598 fma 1 -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2199
2200 rounding: ceiling
2201 -- exact zeros from zeros
2202 fmax31600 fma 1 0 0E-19 -> 0E-19
2203 fmax31601 fma 1 -0 0E-19 -> 0E-19
2204 fmax31602 fma 1 0 -0E-19 -> 0E-19
2205 fmax31603 fma 1 -0 -0E-19 -> -0E-19
2206 fmax31604 fma 1 0E-400 0E-19 -> 0E-398 Clamped
2207 fmax31605 fma 1 -0E-400 0E-19 -> 0E-398 Clamped
2208 fmax31606 fma 1 0E-400 -0E-19 -> 0E-398 Clamped
2209 fmax31607 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped
2210 -- inexact zeros
2211 fmax31611 fma 1 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
2212 fmax31612 fma 1 -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
2213 fmax31613 fma 1 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2214 fmax31614 fma 1 -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
2215 -- some exact zeros from non-zeros
2216 fmax31615 fma 1 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow
2217 fmax31616 fma 1 -1E-401 1E-401 -> 0E-398 Clamped
2218 fmax31617 fma 1 1E-401 -1E-401 -> 0E-398 Clamped
2219 fmax31618 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 -- *
2222 rounding: floor
2223 -- exact zeros from zeros
2224 fmax31620 fma 1 0 0E-19 -> 0E-19
2225 fmax31621 fma 1 -0 0E-19 -> -0E-19 -- *
2226 fmax31622 fma 1 0 -0E-19 -> -0E-19 -- *
2227 fmax31623 fma 1 -0 -0E-19 -> -0E-19
2228 fmax31624 fma 1 0E-400 0E-19 -> 0E-398 Clamped
2229 fmax31625 fma 1 -0E-400 0E-19 -> -0E-398 Clamped -- *
2230 fmax31626 fma 1 0E-400 -0E-19 -> -0E-398 Clamped -- *
2231 fmax31627 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped
2232 -- inexact zeros
2233 fmax31631 fma 1 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2234 fmax31632 fma 1 -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2235 fmax31633 fma 1 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
2236 fmax31634 fma 1 -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
2237 -- some exact zeros from non-zeros
2238 fmax31635 fma 1 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
2239 fmax31636 fma 1 -1E-401 1E-401 -> -0E-398 Clamped -- *
2240 fmax31637 fma 1 1E-401 -1E-401 -> -0E-398 Clamped -- *
2241 fmax31638 fma 1 -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow
2242
2243 -- BigDecimal problem testcases 2006.01.23
2244 precision: 16
2245 maxExponent: 384
2246 minexponent: -383
2247
2248 rounding: down
2249 precision: 7
2250 fmax31651 fma 1 10001E+2 -2E+1 -> 1.00008E+6
2251 precision: 6
2252 fmax31652 fma 1 10001E+2 -2E+1 -> 1.00008E+6
2253 precision: 5
2254 fmax31653 fma 1 10001E+2 -2E+1 -> 1.0000E+6 Inexact Rounded
2255 precision: 4
2256 fmax31654 fma 1 10001E+2 -2E+1 -> 1.000E+6 Inexact Rounded
2257 precision: 3
2258 fmax31655 fma 1 10001E+2 -2E+1 -> 1.00E+6 Inexact Rounded
2259 precision: 2
2260 fmax31656 fma 1 10001E+2 -2E+1 -> 1.0E+6 Inexact Rounded
2261 precision: 1
2262 fmax31657 fma 1 10001E+2 -2E+1 -> 1E+6 Inexact Rounded
2263
2264 rounding: half_even
2265 precision: 7
2266 fmax31661 fma 1 10001E+2 -2E+1 -> 1.00008E+6
2267 precision: 6
2268 fmax31662 fma 1 10001E+2 -2E+1 -> 1.00008E+6
2269 precision: 5
2270 fmax31663 fma 1 10001E+2 -2E+1 -> 1.0001E+6 Inexact Rounded
2271 precision: 4
2272 fmax31664 fma 1 10001E+2 -2E+1 -> 1.000E+6 Inexact Rounded
2273 precision: 3
2274 fmax31665 fma 1 10001E+2 -2E+1 -> 1.00E+6 Inexact Rounded
2275 precision: 2
2276 fmax31666 fma 1 10001E+2 -2E+1 -> 1.0E+6 Inexact Rounded
2277 precision: 1
2278 fmax31667 fma 1 10001E+2 -2E+1 -> 1E+6 Inexact Rounded
2279
2280 rounding: up
2281 precision: 7
2282 fmax31671 fma 1 10001E+2 -2E+1 -> 1.00008E+6
2283 precision: 6
2284 fmax31672 fma 1 10001E+2 -2E+1 -> 1.00008E+6
2285 precision: 5
2286 fmax31673 fma 1 10001E+2 -2E+1 -> 1.0001E+6 Inexact Rounded
2287 precision: 4
2288 fmax31674 fma 1 10001E+2 -2E+1 -> 1.001E+6 Inexact Rounded
2289 precision: 3
2290 fmax31675 fma 1 10001E+2 -2E+1 -> 1.01E+6 Inexact Rounded
2291 precision: 2
2292 fmax31676 fma 1 10001E+2 -2E+1 -> 1.1E+6 Inexact Rounded
2293 precision: 1
2294 fmax31677 fma 1 10001E+2 -2E+1 -> 2E+6 Inexact Rounded
2295
2296 precision: 34
2297 rounding: half_up
2298 maxExponent: 6144
2299 minExponent: -6143
2300 -- Examples from SQL proposal (Krishna Kulkarni)
2301 fmax31701 fma 1 130E-2 120E-2 -> 2.50
2302 fmax31702 fma 1 130E-2 12E-1 -> 2.50
2303 fmax31703 fma 1 130E-2 1E0 -> 2.30
2304 fmax31704 fma 1 1E2 1E4 -> 1.01E+4
2305 fmax31705 subtract 130E-2 120E-2 -> 0.10
2306 fmax31706 subtract 130E-2 12E-1 -> 0.10
2307 fmax31707 subtract 130E-2 1E0 -> 0.30
2308 fmax31708 subtract 1E2 1E4 -> -9.9E+3
2309
2310 ------------------------------------------------------------------------
2311 -- Same as above, using decimal64 default parameters --
2312 ------------------------------------------------------------------------
2313 precision: 16
2314 rounding: half_even
2315 maxExponent: 384
2316 minexponent: -383
2317
2318 -- [first group are 'quick confidence check']
2319 fmax36001 fma 1 1 1 -> 2
2320 fmax36002 fma 1 2 3 -> 5
2321 fmax36003 fma 1 '5.75' '3.3' -> 9.05
2322 fmax36004 fma 1 '5' '-3' -> 2
2323 fmax36005 fma 1 '-5' '-3' -> -8
2324 fmax36006 fma 1 '-7' '2.5' -> -4.5
2325 fmax36007 fma 1 '0.7' '0.3' -> 1.0
2326 fmax36008 fma 1 '1.25' '1.25' -> 2.50
2327 fmax36009 fma 1 '1.23456789' '1.00000000' -> '2.23456789'
2328 fmax36010 fma 1 '1.23456789' '1.00000011' -> '2.23456800'
2329
2330 fmax36011 fma 1 '0.44444444444444444' '0.55555555555555555' -> '1.000000000000000' Inexact Rounded
2331 fmax36012 fma 1 '0.44444444444444440' '0.55555555555555555' -> '1.000000000000000' Inexact Rounded
2332 fmax36013 fma 1 '0.44444444444444444' '0.55555555555555550' -> '0.9999999999999999' Inexact Rounded
2333 fmax36014 fma 1 '0.444444444444444449' '0' -> '0.4444444444444444' Inexact Rounded
2334 fmax36015 fma 1 '0.4444444444444444499' '0' -> '0.4444444444444444' Inexact Rounded
2335 fmax36016 fma 1 '0.44444444444444444999' '0' -> '0.4444444444444444' Inexact Rounded
2336 fmax36017 fma 1 '0.44444444444444445000' '0' -> '0.4444444444444444' Inexact Rounded
2337 fmax36018 fma 1 '0.44444444444444445001' '0' -> '0.4444444444444445' Inexact Rounded
2338 fmax36019 fma 1 '0.4444444444444444501' '0' -> '0.4444444444444445' Inexact Rounded
2339 fmax36020 fma 1 '0.444444444444444451' '0' -> '0.4444444444444445' Inexact Rounded
2340
2341 fmax36021 fma 1 0 1 -> 1
2342 fmax36022 fma 1 1 1 -> 2
2343 fmax36023 fma 1 2 1 -> 3
2344 fmax36024 fma 1 3 1 -> 4
2345 fmax36025 fma 1 4 1 -> 5
2346 fmax36026 fma 1 5 1 -> 6
2347 fmax36027 fma 1 6 1 -> 7
2348 fmax36028 fma 1 7 1 -> 8
2349 fmax36029 fma 1 8 1 -> 9
2350 fmax36030 fma 1 9 1 -> 10
2351
2352 -- some carrying effects
2353 fmax36031 fma 1 '0.9998' '0.0000' -> '0.9998'
2354 fmax36032 fma 1 '0.9998' '0.0001' -> '0.9999'
2355 fmax36033 fma 1 '0.9998' '0.0002' -> '1.0000'
2356 fmax36034 fma 1 '0.9998' '0.0003' -> '1.0001'
2357
2358 fmax36035 fma 1 '70' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded
2359 fmax36036 fma 1 '700' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded
2360 fmax36037 fma 1 '7000' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded
2361 fmax36038 fma 1 '70000' '10000e+16' -> '1.000000000000001E+20' Inexact Rounded
2362 fmax36039 fma 1 '700000' '10000e+16' -> '1.000000000000007E+20' Rounded
2363
2364 -- symmetry:
2365 fmax36040 fma 1 '10000e+16' '70' -> '1.000000000000000E+20' Inexact Rounded
2366 fmax36041 fma 1 '10000e+16' '700' -> '1.000000000000000E+20' Inexact Rounded
2367 fmax36042 fma 1 '10000e+16' '7000' -> '1.000000000000000E+20' Inexact Rounded
2368 fmax36044 fma 1 '10000e+16' '70000' -> '1.000000000000001E+20' Inexact Rounded
2369 fmax36045 fma 1 '10000e+16' '700000' -> '1.000000000000007E+20' Rounded
2370
2371 fmax36046 fma 1 '10000e+9' '7' -> '10000000000007'
2372 fmax36047 fma 1 '10000e+9' '70' -> '10000000000070'
2373 fmax36048 fma 1 '10000e+9' '700' -> '10000000000700'
2374 fmax36049 fma 1 '10000e+9' '7000' -> '10000000007000'
2375 fmax36050 fma 1 '10000e+9' '70000' -> '10000000070000'
2376 fmax36051 fma 1 '10000e+9' '700000' -> '10000000700000'
2377
2378 -- examples from decarith
2379 fmax36053 fma 1 '12' '7.00' -> '19.00'
2380 fmax36054 fma 1 '1.3' '-1.07' -> '0.23'
2381 fmax36055 fma 1 '1.3' '-1.30' -> '0.00'
2382 fmax36056 fma 1 '1.3' '-2.07' -> '-0.77'
2383 fmax36057 fma 1 '1E+2' '1E+4' -> '1.01E+4'
2384
2385 -- from above
2386 fmax36061 fma 1 1 '0.1' -> '1.1'
2387 fmax36062 fma 1 1 '0.01' -> '1.01'
2388 fmax36063 fma 1 1 '0.001' -> '1.001'
2389 fmax36064 fma 1 1 '0.0001' -> '1.0001'
2390 fmax36065 fma 1 1 '0.00001' -> '1.00001'
2391 fmax36066 fma 1 1 '0.000001' -> '1.000001'
2392 fmax36067 fma 1 1 '0.0000001' -> '1.0000001'
2393 fmax36068 fma 1 1 '0.00000001' -> '1.00000001'
2394
2395 -- some funny zeros [in case of bad signum]
2396 fmax36070 fma 1 1 0 -> 1
2397 fmax36071 fma 1 1 0. -> 1
2398 fmax36072 fma 1 1 .0 -> 1.0
2399 fmax36073 fma 1 1 0.0 -> 1.0
2400 fmax36074 fma 1 1 0.00 -> 1.00
2401 fmax36075 fma 1 0 1 -> 1
2402 fmax36076 fma 1 0. 1 -> 1
2403 fmax36077 fma 1 .0 1 -> 1.0
2404 fmax36078 fma 1 0.0 1 -> 1.0
2405 fmax36079 fma 1 0.00 1 -> 1.00
2406
2407 -- some carries
2408 fmax36080 fma 1 9999999999999998 1 -> 9999999999999999
2409 fmax36081 fma 1 9999999999999999 1 -> 1.000000000000000E+16 Rounded
2410 fmax36082 fma 1 999999999999999 1 -> 1000000000000000
2411 fmax36083 fma 1 9999999999999 1 -> 10000000000000
2412 fmax36084 fma 1 99999999999 1 -> 100000000000
2413 fmax36085 fma 1 999999999 1 -> 1000000000
2414 fmax36086 fma 1 9999999 1 -> 10000000
2415 fmax36087 fma 1 99999 1 -> 100000
2416 fmax36088 fma 1 999 1 -> 1000
2417 fmax36089 fma 1 9 1 -> 10
2418
2419
2420 -- more LHS swaps
2421 fmax36090 fma 1 '-56267E-10' 0 -> '-0.0000056267'
2422 fmax36091 fma 1 '-56267E-6' 0 -> '-0.056267'
2423 fmax36092 fma 1 '-56267E-5' 0 -> '-0.56267'
2424 fmax36093 fma 1 '-56267E-4' 0 -> '-5.6267'
2425 fmax36094 fma 1 '-56267E-3' 0 -> '-56.267'
2426 fmax36095 fma 1 '-56267E-2' 0 -> '-562.67'
2427 fmax36096 fma 1 '-56267E-1' 0 -> '-5626.7'
2428 fmax36097 fma 1 '-56267E-0' 0 -> '-56267'
2429 fmax36098 fma 1 '-5E-10' 0 -> '-5E-10'
2430 fmax36099 fma 1 '-5E-7' 0 -> '-5E-7'
2431 fmax36100 fma 1 '-5E-6' 0 -> '-0.000005'
2432 fmax36101 fma 1 '-5E-5' 0 -> '-0.00005'
2433 fmax36102 fma 1 '-5E-4' 0 -> '-0.0005'
2434 fmax36103 fma 1 '-5E-1' 0 -> '-0.5'
2435 fmax36104 fma 1 '-5E0' 0 -> '-5'
2436 fmax36105 fma 1 '-5E1' 0 -> '-50'
2437 fmax36106 fma 1 '-5E5' 0 -> '-500000'
2438 fmax36107 fma 1 '-5E15' 0 -> '-5000000000000000'
2439 fmax36108 fma 1 '-5E16' 0 -> '-5.000000000000000E+16' Rounded
2440 fmax36109 fma 1 '-5E17' 0 -> '-5.000000000000000E+17' Rounded
2441 fmax36110 fma 1 '-5E18' 0 -> '-5.000000000000000E+18' Rounded
2442 fmax36111 fma 1 '-5E100' 0 -> '-5.000000000000000E+100' Rounded
2443
2444 -- more RHS swaps
2445 fmax36113 fma 1 0 '-56267E-10' -> '-0.0000056267'
2446 fmax36114 fma 1 0 '-56267E-6' -> '-0.056267'
2447 fmax36116 fma 1 0 '-56267E-5' -> '-0.56267'
2448 fmax36117 fma 1 0 '-56267E-4' -> '-5.6267'
2449 fmax36119 fma 1 0 '-56267E-3' -> '-56.267'
2450 fmax36120 fma 1 0 '-56267E-2' -> '-562.67'
2451 fmax36121 fma 1 0 '-56267E-1' -> '-5626.7'
2452 fmax36122 fma 1 0 '-56267E-0' -> '-56267'
2453 fmax36123 fma 1 0 '-5E-10' -> '-5E-10'
2454 fmax36124 fma 1 0 '-5E-7' -> '-5E-7'
2455 fmax36125 fma 1 0 '-5E-6' -> '-0.000005'
2456 fmax36126 fma 1 0 '-5E-5' -> '-0.00005'
2457 fmax36127 fma 1 0 '-5E-4' -> '-0.0005'
2458 fmax36128 fma 1 0 '-5E-1' -> '-0.5'
2459 fmax36129 fma 1 0 '-5E0' -> '-5'
2460 fmax36130 fma 1 0 '-5E1' -> '-50'
2461 fmax36131 fma 1 0 '-5E5' -> '-500000'
2462 fmax36132 fma 1 0 '-5E15' -> '-5000000000000000'
2463 fmax36133 fma 1 0 '-5E16' -> '-5.000000000000000E+16' Rounded
2464 fmax36134 fma 1 0 '-5E17' -> '-5.000000000000000E+17' Rounded
2465 fmax36135 fma 1 0 '-5E18' -> '-5.000000000000000E+18' Rounded
2466 fmax36136 fma 1 0 '-5E100' -> '-5.000000000000000E+100' Rounded
2467
2468 -- related
2469 fmax36137 fma 1 1 '0E-19' -> '1.000000000000000' Rounded
2470 fmax36138 fma 1 -1 '0E-19' -> '-1.000000000000000' Rounded
2471 fmax36139 fma 1 '0E-19' 1 -> '1.000000000000000' Rounded
2472 fmax36140 fma 1 '0E-19' -1 -> '-1.000000000000000' Rounded
2473 fmax36141 fma 1 1E+11 0.0000 -> '100000000000.0000'
2474 fmax36142 fma 1 1E+11 0.00000 -> '100000000000.0000' Rounded
2475 fmax36143 fma 1 0.000 1E+12 -> '1000000000000.000'
2476 fmax36144 fma 1 0.0000 1E+12 -> '1000000000000.000' Rounded
2477
2478 -- [some of the next group are really constructor tests]
2479 fmax36146 fma 1 '00.0' 0 -> '0.0'
2480 fmax36147 fma 1 '0.00' 0 -> '0.00'
2481 fmax36148 fma 1 0 '0.00' -> '0.00'
2482 fmax36149 fma 1 0 '00.0' -> '0.0'
2483 fmax36150 fma 1 '00.0' '0.00' -> '0.00'
2484 fmax36151 fma 1 '0.00' '00.0' -> '0.00'
2485 fmax36152 fma 1 '3' '.3' -> '3.3'
2486 fmax36153 fma 1 '3.' '.3' -> '3.3'
2487 fmax36154 fma 1 '3.0' '.3' -> '3.3'
2488 fmax36155 fma 1 '3.00' '.3' -> '3.30'
2489 fmax36156 fma 1 '3' '3' -> '6'
2490 fmax36157 fma 1 '3' '+3' -> '6'
2491 fmax36158 fma 1 '3' '-3' -> '0'
2492 fmax36159 fma 1 '0.3' '-0.3' -> '0.0'
2493 fmax36160 fma 1 '0.03' '-0.03' -> '0.00'
2494
2495 -- try borderline precision, with carries, etc.
2496 fmax36161 fma 1 '1E+13' '-1' -> '9999999999999'
2497 fmax36162 fma 1 '1E+13' '1.11' -> '10000000000001.11'
2498 fmax36163 fma 1 '1.11' '1E+13' -> '10000000000001.11'
2499 fmax36164 fma 1 '-1' '1E+13' -> '9999999999999'
2500 fmax36165 fma 1 '7E+13' '-1' -> '69999999999999'
2501 fmax36166 fma 1 '7E+13' '1.11' -> '70000000000001.11'
2502 fmax36167 fma 1 '1.11' '7E+13' -> '70000000000001.11'
2503 fmax36168 fma 1 '-1' '7E+13' -> '69999999999999'
2504
2505 -- 1234567890123456 1234567890123456 1 234567890123456
2506 fmax36170 fma 1 '0.4444444444444444' '0.5555555555555563' -> '1.000000000000001' Inexact Rounded
2507 fmax36171 fma 1 '0.4444444444444444' '0.5555555555555562' -> '1.000000000000001' Inexact Rounded
2508 fmax36172 fma 1 '0.4444444444444444' '0.5555555555555561' -> '1.000000000000000' Inexact Rounded
2509 fmax36173 fma 1 '0.4444444444444444' '0.5555555555555560' -> '1.000000000000000' Inexact Rounded
2510 fmax36174 fma 1 '0.4444444444444444' '0.5555555555555559' -> '1.000000000000000' Inexact Rounded
2511 fmax36175 fma 1 '0.4444444444444444' '0.5555555555555558' -> '1.000000000000000' Inexact Rounded
2512 fmax36176 fma 1 '0.4444444444444444' '0.5555555555555557' -> '1.000000000000000' Inexact Rounded
2513 fmax36177 fma 1 '0.4444444444444444' '0.5555555555555556' -> '1.000000000000000' Rounded
2514 fmax36178 fma 1 '0.4444444444444444' '0.5555555555555555' -> '0.9999999999999999'
2515 fmax36179 fma 1 '0.4444444444444444' '0.5555555555555554' -> '0.9999999999999998'
2516 fmax36180 fma 1 '0.4444444444444444' '0.5555555555555553' -> '0.9999999999999997'
2517 fmax36181 fma 1 '0.4444444444444444' '0.5555555555555552' -> '0.9999999999999996'
2518 fmax36182 fma 1 '0.4444444444444444' '0.5555555555555551' -> '0.9999999999999995'
2519 fmax36183 fma 1 '0.4444444444444444' '0.5555555555555550' -> '0.9999999999999994'
2520
2521 -- and some more, including residue effects and different roundings
2522 rounding: half_up
2523 fmax36200 fma 1 '6543210123456789' 0 -> '6543210123456789'
2524 fmax36201 fma 1 '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded
2525 fmax36202 fma 1 '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded
2526 fmax36203 fma 1 '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded
2527 fmax36204 fma 1 '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded
2528 fmax36205 fma 1 '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded
2529 fmax36206 fma 1 '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded
2530 fmax36207 fma 1 '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded
2531 fmax36208 fma 1 '6543210123456789' 0.5 -> '6543210123456790' Inexact Rounded
2532 fmax36209 fma 1 '6543210123456789' 0.500000001 -> '6543210123456790' Inexact Rounded
2533 fmax36210 fma 1 '6543210123456789' 0.500001 -> '6543210123456790' Inexact Rounded
2534 fmax36211 fma 1 '6543210123456789' 0.51 -> '6543210123456790' Inexact Rounded
2535 fmax36212 fma 1 '6543210123456789' 0.6 -> '6543210123456790' Inexact Rounded
2536 fmax36213 fma 1 '6543210123456789' 0.9 -> '6543210123456790' Inexact Rounded
2537 fmax36214 fma 1 '6543210123456789' 0.99999 -> '6543210123456790' Inexact Rounded
2538 fmax36215 fma 1 '6543210123456789' 0.999999 -> '6543210123456790' Inexact Rounded
2539 fmax36216 fma 1 '6543210123456789' 1 -> '6543210123456790'
2540 fmax36217 fma 1 '6543210123456789' 1.000000001 -> '6543210123456790' Inexact Rounded
2541 fmax36218 fma 1 '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded
2542 fmax36219 fma 1 '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded
2543
2544 rounding: half_even
2545 fmax36220 fma 1 '6543210123456789' 0 -> '6543210123456789'
2546 fmax36221 fma 1 '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded
2547 fmax36222 fma 1 '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded
2548 fmax36223 fma 1 '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded
2549 fmax36224 fma 1 '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded
2550 fmax36225 fma 1 '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded
2551 fmax36226 fma 1 '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded
2552 fmax36227 fma 1 '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded
2553 fmax36228 fma 1 '6543210123456789' 0.5 -> '6543210123456790' Inexact Rounded
2554 fmax36229 fma 1 '6543210123456789' 0.500000001 -> '6543210123456790' Inexact Rounded
2555 fmax36230 fma 1 '6543210123456789' 0.500001 -> '6543210123456790' Inexact Rounded
2556 fmax36231 fma 1 '6543210123456789' 0.51 -> '6543210123456790' Inexact Rounded
2557 fmax36232 fma 1 '6543210123456789' 0.6 -> '6543210123456790' Inexact Rounded
2558 fmax36233 fma 1 '6543210123456789' 0.9 -> '6543210123456790' Inexact Rounded
2559 fmax36234 fma 1 '6543210123456789' 0.99999 -> '6543210123456790' Inexact Rounded
2560 fmax36235 fma 1 '6543210123456789' 0.999999 -> '6543210123456790' Inexact Rounded
2561 fmax36236 fma 1 '6543210123456789' 1 -> '6543210123456790'
2562 fmax36237 fma 1 '6543210123456789' 1.00000001 -> '6543210123456790' Inexact Rounded
2563 fmax36238 fma 1 '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded
2564 fmax36239 fma 1 '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded
2565 -- critical few with even bottom digit...
2566 fmax36240 fma 1 '6543210123456788' 0.499999 -> '6543210123456788' Inexact Rounded
2567 fmax36241 fma 1 '6543210123456788' 0.5 -> '6543210123456788' Inexact Rounded
2568 fmax36242 fma 1 '6543210123456788' 0.500000001 -> '6543210123456789' Inexact Rounded
2569
2570 rounding: down
2571 fmax36250 fma 1 '6543210123456789' 0 -> '6543210123456789'
2572 fmax36251 fma 1 '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded
2573 fmax36252 fma 1 '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded
2574 fmax36253 fma 1 '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded
2575 fmax36254 fma 1 '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded
2576 fmax36255 fma 1 '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded
2577 fmax36256 fma 1 '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded
2578 fmax36257 fma 1 '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded
2579 fmax36258 fma 1 '6543210123456789' 0.5 -> '6543210123456789' Inexact Rounded
2580 fmax36259 fma 1 '6543210123456789' 0.500000001 -> '6543210123456789' Inexact Rounded
2581 fmax36260 fma 1 '6543210123456789' 0.500001 -> '6543210123456789' Inexact Rounded
2582 fmax36261 fma 1 '6543210123456789' 0.51 -> '6543210123456789' Inexact Rounded
2583 fmax36262 fma 1 '6543210123456789' 0.6 -> '6543210123456789' Inexact Rounded
2584 fmax36263 fma 1 '6543210123456789' 0.9 -> '6543210123456789' Inexact Rounded
2585 fmax36264 fma 1 '6543210123456789' 0.99999 -> '6543210123456789' Inexact Rounded
2586 fmax36265 fma 1 '6543210123456789' 0.999999 -> '6543210123456789' Inexact Rounded
2587 fmax36266 fma 1 '6543210123456789' 1 -> '6543210123456790'
2588 fmax36267 fma 1 '6543210123456789' 1.00000001 -> '6543210123456790' Inexact Rounded
2589 fmax36268 fma 1 '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded
2590 fmax36269 fma 1 '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded
2591
2592 -- 1 in last place tests
2593 rounding: half_even
2594 fmax36301 fma 1 -1 1 -> 0
2595 fmax36302 fma 1 0 1 -> 1
2596 fmax36303 fma 1 1 1 -> 2
2597 fmax36304 fma 1 12 1 -> 13
2598 fmax36305 fma 1 98 1 -> 99
2599 fmax36306 fma 1 99 1 -> 100
2600 fmax36307 fma 1 100 1 -> 101
2601 fmax36308 fma 1 101 1 -> 102
2602 fmax36309 fma 1 -1 -1 -> -2
2603 fmax36310 fma 1 0 -1 -> -1
2604 fmax36311 fma 1 1 -1 -> 0
2605 fmax36312 fma 1 12 -1 -> 11
2606 fmax36313 fma 1 98 -1 -> 97
2607 fmax36314 fma 1 99 -1 -> 98
2608 fmax36315 fma 1 100 -1 -> 99
2609 fmax36316 fma 1 101 -1 -> 100
2610
2611 fmax36321 fma 1 -0.01 0.01 -> 0.00
2612 fmax36322 fma 1 0.00 0.01 -> 0.01
2613 fmax36323 fma 1 0.01 0.01 -> 0.02
2614 fmax36324 fma 1 0.12 0.01 -> 0.13
2615 fmax36325 fma 1 0.98 0.01 -> 0.99
2616 fmax36326 fma 1 0.99 0.01 -> 1.00
2617 fmax36327 fma 1 1.00 0.01 -> 1.01
2618 fmax36328 fma 1 1.01 0.01 -> 1.02
2619 fmax36329 fma 1 -0.01 -0.01 -> -0.02
2620 fmax36330 fma 1 0.00 -0.01 -> -0.01
2621 fmax36331 fma 1 0.01 -0.01 -> 0.00
2622 fmax36332 fma 1 0.12 -0.01 -> 0.11
2623 fmax36333 fma 1 0.98 -0.01 -> 0.97
2624 fmax36334 fma 1 0.99 -0.01 -> 0.98
2625 fmax36335 fma 1 1.00 -0.01 -> 0.99
2626 fmax36336 fma 1 1.01 -0.01 -> 1.00
2627
2628 -- some more cases where fma 1 ing 0 affects the coefficient
2629 fmax36340 fma 1 1E+3 0 -> 1000
2630 fmax36341 fma 1 1E+15 0 -> 1000000000000000
2631 fmax36342 fma 1 1E+16 0 -> 1.000000000000000E+16 Rounded
2632 fmax36343 fma 1 1E+17 0 -> 1.000000000000000E+17 Rounded
2633 -- which simply follow from these cases ...
2634 fmax36344 fma 1 1E+3 1 -> 1001
2635 fmax36345 fma 1 1E+15 1 -> 1000000000000001
2636 fmax36346 fma 1 1E+16 1 -> 1.000000000000000E+16 Inexact Rounded
2637 fmax36347 fma 1 1E+17 1 -> 1.000000000000000E+17 Inexact Rounded
2638 fmax36348 fma 1 1E+3 7 -> 1007
2639 fmax36349 fma 1 1E+15 7 -> 1000000000000007
2640 fmax36350 fma 1 1E+16 7 -> 1.000000000000001E+16 Inexact Rounded
2641 fmax36351 fma 1 1E+17 7 -> 1.000000000000000E+17 Inexact Rounded
2642
2643 -- tryzeros cases
2644 fmax36361 fma 1 0E+50 10000E+1 -> 1.0000E+5
2645 fmax36362 fma 1 10000E+1 0E-50 -> 100000.0000000000 Rounded
2646 fmax36363 fma 1 10000E+1 10000E-50 -> 100000.0000000000 Rounded Inexact
2647 fmax36364 fma 1 12.34 0e-398 -> 12.34000000000000 Rounded
2648
2649 -- ulp replacement tests
2650 fmax36400 fma 1 1 77e-14 -> 1.00000000000077
2651 fmax36401 fma 1 1 77e-15 -> 1.000000000000077
2652 fmax36402 fma 1 1 77e-16 -> 1.000000000000008 Inexact Rounded
2653 fmax36403 fma 1 1 77e-17 -> 1.000000000000001 Inexact Rounded
2654 fmax36404 fma 1 1 77e-18 -> 1.000000000000000 Inexact Rounded
2655 fmax36405 fma 1 1 77e-19 -> 1.000000000000000 Inexact Rounded
2656 fmax36406 fma 1 1 77e-99 -> 1.000000000000000 Inexact Rounded
2657
2658 fmax36410 fma 1 10 77e-14 -> 10.00000000000077
2659 fmax36411 fma 1 10 77e-15 -> 10.00000000000008 Inexact Rounded
2660 fmax36412 fma 1 10 77e-16 -> 10.00000000000001 Inexact Rounded
2661 fmax36413 fma 1 10 77e-17 -> 10.00000000000000 Inexact Rounded
2662 fmax36414 fma 1 10 77e-18 -> 10.00000000000000 Inexact Rounded
2663 fmax36415 fma 1 10 77e-19 -> 10.00000000000000 Inexact Rounded
2664 fmax36416 fma 1 10 77e-99 -> 10.00000000000000 Inexact Rounded
2665
2666 fmax36420 fma 1 77e-14 1 -> 1.00000000000077
2667 fmax36421 fma 1 77e-15 1 -> 1.000000000000077
2668 fmax36422 fma 1 77e-16 1 -> 1.000000000000008 Inexact Rounded
2669 fmax36423 fma 1 77e-17 1 -> 1.000000000000001 Inexact Rounded
2670 fmax36424 fma 1 77e-18 1 -> 1.000000000000000 Inexact Rounded
2671 fmax36425 fma 1 77e-19 1 -> 1.000000000000000 Inexact Rounded
2672 fmax36426 fma 1 77e-99 1 -> 1.000000000000000 Inexact Rounded
2673
2674 fmax36430 fma 1 77e-14 10 -> 10.00000000000077
2675 fmax36431 fma 1 77e-15 10 -> 10.00000000000008 Inexact Rounded
2676 fmax36432 fma 1 77e-16 10 -> 10.00000000000001 Inexact Rounded
2677 fmax36433 fma 1 77e-17 10 -> 10.00000000000000 Inexact Rounded
2678 fmax36434 fma 1 77e-18 10 -> 10.00000000000000 Inexact Rounded
2679 fmax36435 fma 1 77e-19 10 -> 10.00000000000000 Inexact Rounded
2680 fmax36436 fma 1 77e-99 10 -> 10.00000000000000 Inexact Rounded
2681
2682 -- negative ulps
2683 fmax36440 fma 1 1 -77e-14 -> 0.99999999999923
2684 fmax36441 fma 1 1 -77e-15 -> 0.999999999999923
2685 fmax36442 fma 1 1 -77e-16 -> 0.9999999999999923
2686 fmax36443 fma 1 1 -77e-17 -> 0.9999999999999992 Inexact Rounded
2687 fmax36444 fma 1 1 -77e-18 -> 0.9999999999999999 Inexact Rounded
2688 fmax36445 fma 1 1 -77e-19 -> 1.000000000000000 Inexact Rounded
2689 fmax36446 fma 1 1 -77e-99 -> 1.000000000000000 Inexact Rounded
2690
2691 fmax36450 fma 1 10 -77e-14 -> 9.99999999999923
2692 fmax36451 fma 1 10 -77e-15 -> 9.999999999999923
2693 fmax36452 fma 1 10 -77e-16 -> 9.999999999999992 Inexact Rounded
2694 fmax36453 fma 1 10 -77e-17 -> 9.999999999999999 Inexact Rounded
2695 fmax36454 fma 1 10 -77e-18 -> 10.00000000000000 Inexact Rounded
2696 fmax36455 fma 1 10 -77e-19 -> 10.00000000000000 Inexact Rounded
2697 fmax36456 fma 1 10 -77e-99 -> 10.00000000000000 Inexact Rounded
2698
2699 fmax36460 fma 1 -77e-14 1 -> 0.99999999999923
2700 fmax36461 fma 1 -77e-15 1 -> 0.999999999999923
2701 fmax36462 fma 1 -77e-16 1 -> 0.9999999999999923
2702 fmax36463 fma 1 -77e-17 1 -> 0.9999999999999992 Inexact Rounded
2703 fmax36464 fma 1 -77e-18 1 -> 0.9999999999999999 Inexact Rounded
2704 fmax36465 fma 1 -77e-19 1 -> 1.000000000000000 Inexact Rounded
2705 fmax36466 fma 1 -77e-99 1 -> 1.000000000000000 Inexact Rounded
2706
2707 fmax36470 fma 1 -77e-14 10 -> 9.99999999999923
2708 fmax36471 fma 1 -77e-15 10 -> 9.999999999999923
2709 fmax36472 fma 1 -77e-16 10 -> 9.999999999999992 Inexact Rounded
2710 fmax36473 fma 1 -77e-17 10 -> 9.999999999999999 Inexact Rounded
2711 fmax36474 fma 1 -77e-18 10 -> 10.00000000000000 Inexact Rounded
2712 fmax36475 fma 1 -77e-19 10 -> 10.00000000000000 Inexact Rounded
2713 fmax36476 fma 1 -77e-99 10 -> 10.00000000000000 Inexact Rounded
2714
2715 -- negative ulps
2716 fmax36480 fma 1 -1 77e-14 -> -0.99999999999923
2717 fmax36481 fma 1 -1 77e-15 -> -0.999999999999923
2718 fmax36482 fma 1 -1 77e-16 -> -0.9999999999999923
2719 fmax36483 fma 1 -1 77e-17 -> -0.9999999999999992 Inexact Rounded
2720 fmax36484 fma 1 -1 77e-18 -> -0.9999999999999999 Inexact Rounded
2721 fmax36485 fma 1 -1 77e-19 -> -1.000000000000000 Inexact Rounded
2722 fmax36486 fma 1 -1 77e-99 -> -1.000000000000000 Inexact Rounded
2723
2724 fmax36490 fma 1 -10 77e-14 -> -9.99999999999923
2725 fmax36491 fma 1 -10 77e-15 -> -9.999999999999923
2726 fmax36492 fma 1 -10 77e-16 -> -9.999999999999992 Inexact Rounded
2727 fmax36493 fma 1 -10 77e-17 -> -9.999999999999999 Inexact Rounded
2728 fmax36494 fma 1 -10 77e-18 -> -10.00000000000000 Inexact Rounded
2729 fmax36495 fma 1 -10 77e-19 -> -10.00000000000000 Inexact Rounded
2730 fmax36496 fma 1 -10 77e-99 -> -10.00000000000000 Inexact Rounded
2731
2732 fmax36500 fma 1 77e-14 -1 -> -0.99999999999923
2733 fmax36501 fma 1 77e-15 -1 -> -0.999999999999923
2734 fmax36502 fma 1 77e-16 -1 -> -0.9999999999999923
2735 fmax36503 fma 1 77e-17 -1 -> -0.9999999999999992 Inexact Rounded
2736 fmax36504 fma 1 77e-18 -1 -> -0.9999999999999999 Inexact Rounded
2737 fmax36505 fma 1 77e-19 -1 -> -1.000000000000000 Inexact Rounded
2738 fmax36506 fma 1 77e-99 -1 -> -1.000000000000000 Inexact Rounded
2739
2740 fmax36510 fma 1 77e-14 -10 -> -9.99999999999923
2741 fmax36511 fma 1 77e-15 -10 -> -9.999999999999923
2742 fmax36512 fma 1 77e-16 -10 -> -9.999999999999992 Inexact Rounded
2743 fmax36513 fma 1 77e-17 -10 -> -9.999999999999999 Inexact Rounded
2744 fmax36514 fma 1 77e-18 -10 -> -10.00000000000000 Inexact Rounded
2745 fmax36515 fma 1 77e-19 -10 -> -10.00000000000000 Inexact Rounded
2746 fmax36516 fma 1 77e-99 -10 -> -10.00000000000000 Inexact Rounded
2747
2748
2749 -- long operands
2750 fmax36521 fma 1 101234562345678000 0 -> 1.012345623456780E+17 Rounded
2751 fmax36522 fma 1 0 101234562345678000 -> 1.012345623456780E+17 Rounded
2752 fmax36523 fma 1 10123456234567800 0 -> 1.012345623456780E+16 Rounded
2753 fmax36524 fma 1 0 10123456234567800 -> 1.012345623456780E+16 Rounded
2754 fmax36525 fma 1 10123456234567890 0 -> 1.012345623456789E+16 Rounded
2755 fmax36526 fma 1 0 10123456234567890 -> 1.012345623456789E+16 Rounded
2756 fmax36527 fma 1 10123456234567891 0 -> 1.012345623456789E+16 Inexact Rounded
2757 fmax36528 fma 1 0 10123456234567891 -> 1.012345623456789E+16 Inexact Rounded
2758 fmax36529 fma 1 101234562345678901 0 -> 1.012345623456789E+17 Inexact Rounded
2759 fmax36530 fma 1 0 101234562345678901 -> 1.012345623456789E+17 Inexact Rounded
2760 fmax36531 fma 1 10123456234567896 0 -> 1.012345623456790E+16 Inexact Rounded
2761 fmax36532 fma 1 0 10123456234567896 -> 1.012345623456790E+16 Inexact Rounded
2762
2763 -- verify a query
2764 rounding: down
2765 fmax36561 fma 1 1e-398 9.000000000000000E+384 -> 9.000000000000000E+384 Inexact Rounded
2766 fmax36562 fma 1 0 9.000000000000000E+384 -> 9.000000000000000E+384 Rounded
2767 -- and using decimal64 bounds...
2768 rounding: down
2769 fmax36563 fma 1 1e-388 9.000000000000000E+374 -> 9.000000000000000E+374 Inexact Rounded
2770 fmax36564 fma 1 0 9.000000000000000E+374 -> 9.000000000000000E+374 Rounded
2771
2772 -- more zeros, etc.
2773 rounding: half_even
2774
2775 fmax36701 fma 1 5.00 1.00E-3 -> 5.00100
2776 fmax36702 fma 1 00.00 0.000 -> 0.000
2777 fmax36703 fma 1 00.00 0E-3 -> 0.000
2778 fmax36704 fma 1 0E-3 00.00 -> 0.000
2779
2780 fmax36710 fma 1 0E+3 00.00 -> 0.00
2781 fmax36711 fma 1 0E+3 00.0 -> 0.0
2782 fmax36712 fma 1 0E+3 00. -> 0
2783 fmax36713 fma 1 0E+3 00.E+1 -> 0E+1
2784 fmax36714 fma 1 0E+3 00.E+2 -> 0E+2
2785 fmax36715 fma 1 0E+3 00.E+3 -> 0E+3
2786 fmax36716 fma 1 0E+3 00.E+4 -> 0E+3
2787 fmax36717 fma 1 0E+3 00.E+5 -> 0E+3
2788 fmax36718 fma 1 0E+3 -00.0 -> 0.0
2789 fmax36719 fma 1 0E+3 -00. -> 0
2790 fmax36731 fma 1 0E+3 -00.E+1 -> 0E+1
2791
2792 fmax36720 fma 1 00.00 0E+3 -> 0.00
2793 fmax36721 fma 1 00.0 0E+3 -> 0.0
2794 fmax36722 fma 1 00. 0E+3 -> 0
2795 fmax36723 fma 1 00.E+1 0E+3 -> 0E+1
2796 fmax36724 fma 1 00.E+2 0E+3 -> 0E+2
2797 fmax36725 fma 1 00.E+3 0E+3 -> 0E+3
2798 fmax36726 fma 1 00.E+4 0E+3 -> 0E+3
2799 fmax36727 fma 1 00.E+5 0E+3 -> 0E+3
2800 fmax36728 fma 1 -00.00 0E+3 -> 0.00
2801 fmax36729 fma 1 -00.0 0E+3 -> 0.0
2802 fmax36730 fma 1 -00. 0E+3 -> 0
2803
2804 fmax36732 fma 1 0 0 -> 0
2805 fmax36733 fma 1 0 -0 -> 0
2806 fmax36734 fma 1 -0 0 -> 0
2807 fmax36735 fma 1 -0 -0 -> -0 -- IEEE 854 special case
2808
2809 fmax36736 fma 1 1 -1 -> 0
2810 fmax36737 fma 1 -1 -1 -> -2
2811 fmax36738 fma 1 1 1 -> 2
2812 fmax36739 fma 1 -1 1 -> 0
2813
2814 fmax36741 fma 1 0 -1 -> -1
2815 fmax36742 fma 1 -0 -1 -> -1
2816 fmax36743 fma 1 0 1 -> 1
2817 fmax36744 fma 1 -0 1 -> 1
2818 fmax36745 fma 1 -1 0 -> -1
2819 fmax36746 fma 1 -1 -0 -> -1
2820 fmax36747 fma 1 1 0 -> 1
2821 fmax36748 fma 1 1 -0 -> 1
2822
2823 fmax36751 fma 1 0.0 -1 -> -1.0
2824 fmax36752 fma 1 -0.0 -1 -> -1.0
2825 fmax36753 fma 1 0.0 1 -> 1.0
2826 fmax36754 fma 1 -0.0 1 -> 1.0
2827 fmax36755 fma 1 -1.0 0 -> -1.0
2828 fmax36756 fma 1 -1.0 -0 -> -1.0
2829 fmax36757 fma 1 1.0 0 -> 1.0
2830 fmax36758 fma 1 1.0 -0 -> 1.0
2831
2832 fmax36761 fma 1 0 -1.0 -> -1.0
2833 fmax36762 fma 1 -0 -1.0 -> -1.0
2834 fmax36763 fma 1 0 1.0 -> 1.0
2835 fmax36764 fma 1 -0 1.0 -> 1.0
2836 fmax36765 fma 1 -1 0.0 -> -1.0
2837 fmax36766 fma 1 -1 -0.0 -> -1.0
2838 fmax36767 fma 1 1 0.0 -> 1.0
2839 fmax36768 fma 1 1 -0.0 -> 1.0
2840
2841 fmax36771 fma 1 0.0 -1.0 -> -1.0
2842 fmax36772 fma 1 -0.0 -1.0 -> -1.0
2843 fmax36773 fma 1 0.0 1.0 -> 1.0
2844 fmax36774 fma 1 -0.0 1.0 -> 1.0
2845 fmax36775 fma 1 -1.0 0.0 -> -1.0
2846 fmax36776 fma 1 -1.0 -0.0 -> -1.0
2847 fmax36777 fma 1 1.0 0.0 -> 1.0
2848 fmax36778 fma 1 1.0 -0.0 -> 1.0
2849
2850 -- Specials
2851 fmax36780 fma 1 -Inf -Inf -> -Infinity
2852 fmax36781 fma 1 -Inf -1000 -> -Infinity
2853 fmax36782 fma 1 -Inf -1 -> -Infinity
2854 fmax36783 fma 1 -Inf -0 -> -Infinity
2855 fmax36784 fma 1 -Inf 0 -> -Infinity
2856 fmax36785 fma 1 -Inf 1 -> -Infinity
2857 fmax36786 fma 1 -Inf 1000 -> -Infinity
2858 fmax36787 fma 1 -1000 -Inf -> -Infinity
2859 fmax36788 fma 1 -Inf -Inf -> -Infinity
2860 fmax36789 fma 1 -1 -Inf -> -Infinity
2861 fmax36790 fma 1 -0 -Inf -> -Infinity
2862 fmax36791 fma 1 0 -Inf -> -Infinity
2863 fmax36792 fma 1 1 -Inf -> -Infinity
2864 fmax36793 fma 1 1000 -Inf -> -Infinity
2865 fmax36794 fma 1 Inf -Inf -> NaN Invalid_operation
2866
2867 fmax36800 fma 1 Inf -Inf -> NaN Invalid_operation
2868 fmax36801 fma 1 Inf -1000 -> Infinity
2869 fmax36802 fma 1 Inf -1 -> Infinity
2870 fmax36803 fma 1 Inf -0 -> Infinity
2871 fmax36804 fma 1 Inf 0 -> Infinity
2872 fmax36805 fma 1 Inf 1 -> Infinity
2873 fmax36806 fma 1 Inf 1000 -> Infinity
2874 fmax36807 fma 1 Inf Inf -> Infinity
2875 fmax36808 fma 1 -1000 Inf -> Infinity
2876 fmax36809 fma 1 -Inf Inf -> NaN Invalid_operation
2877 fmax36810 fma 1 -1 Inf -> Infinity
2878 fmax36811 fma 1 -0 Inf -> Infinity
2879 fmax36812 fma 1 0 Inf -> Infinity
2880 fmax36813 fma 1 1 Inf -> Infinity
2881 fmax36814 fma 1 1000 Inf -> Infinity
2882 fmax36815 fma 1 Inf Inf -> Infinity
2883
2884 fmax36821 fma 1 NaN -Inf -> NaN
2885 fmax36822 fma 1 NaN -1000 -> NaN
2886 fmax36823 fma 1 NaN -1 -> NaN
2887 fmax36824 fma 1 NaN -0 -> NaN
2888 fmax36825 fma 1 NaN 0 -> NaN
2889 fmax36826 fma 1 NaN 1 -> NaN
2890 fmax36827 fma 1 NaN 1000 -> NaN
2891 fmax36828 fma 1 NaN Inf -> NaN
2892 fmax36829 fma 1 NaN NaN -> NaN
2893 fmax36830 fma 1 -Inf NaN -> NaN
2894 fmax36831 fma 1 -1000 NaN -> NaN
2895 fmax36832 fma 1 -1 NaN -> NaN
2896 fmax36833 fma 1 -0 NaN -> NaN
2897 fmax36834 fma 1 0 NaN -> NaN
2898 fmax36835 fma 1 1 NaN -> NaN
2899 fmax36836 fma 1 1000 NaN -> NaN
2900 fmax36837 fma 1 Inf NaN -> NaN
2901
2902 fmax36841 fma 1 sNaN -Inf -> NaN Invalid_operation
2903 fmax36842 fma 1 sNaN -1000 -> NaN Invalid_operation
2904 fmax36843 fma 1 sNaN -1 -> NaN Invalid_operation
2905 fmax36844 fma 1 sNaN -0 -> NaN Invalid_operation
2906 fmax36845 fma 1 sNaN 0 -> NaN Invalid_operation
2907 fmax36846 fma 1 sNaN 1 -> NaN Invalid_operation
2908 fmax36847 fma 1 sNaN 1000 -> NaN Invalid_operation
2909 fmax36848 fma 1 sNaN NaN -> NaN Invalid_operation
2910 fmax36849 fma 1 sNaN sNaN -> NaN Invalid_operation
2911 fmax36850 fma 1 NaN sNaN -> NaN Invalid_operation
2912 fmax36851 fma 1 -Inf sNaN -> NaN Invalid_operation
2913 fmax36852 fma 1 -1000 sNaN -> NaN Invalid_operation
2914 fmax36853 fma 1 -1 sNaN -> NaN Invalid_operation
2915 fmax36854 fma 1 -0 sNaN -> NaN Invalid_operation
2916 fmax36855 fma 1 0 sNaN -> NaN Invalid_operation
2917 fmax36856 fma 1 1 sNaN -> NaN Invalid_operation
2918 fmax36857 fma 1 1000 sNaN -> NaN Invalid_operation
2919 fmax36858 fma 1 Inf sNaN -> NaN Invalid_operation
2920 fmax36859 fma 1 NaN sNaN -> NaN Invalid_operation
2921
2922 -- propagating NaNs
2923 fmax36861 fma 1 NaN1 -Inf -> NaN1
2924 fmax36862 fma 1 +NaN2 -1000 -> NaN2
2925 fmax36863 fma 1 NaN3 1000 -> NaN3
2926 fmax36864 fma 1 NaN4 Inf -> NaN4
2927 fmax36865 fma 1 NaN5 +NaN6 -> NaN5
2928 fmax36866 fma 1 -Inf NaN7 -> NaN7
2929 fmax36867 fma 1 -1000 NaN8 -> NaN8
2930 fmax36868 fma 1 1000 NaN9 -> NaN9
2931 fmax36869 fma 1 Inf +NaN10 -> NaN10
2932 fmax36871 fma 1 sNaN11 -Inf -> NaN11 Invalid_operation
2933 fmax36872 fma 1 sNaN12 -1000 -> NaN12 Invalid_operation
2934 fmax36873 fma 1 sNaN13 1000 -> NaN13 Invalid_operation
2935 fmax36874 fma 1 sNaN14 NaN17 -> NaN14 Invalid_operation
2936 fmax36875 fma 1 sNaN15 sNaN18 -> NaN15 Invalid_operation
2937 fmax36876 fma 1 NaN16 sNaN19 -> NaN19 Invalid_operation
2938 fmax36877 fma 1 -Inf +sNaN20 -> NaN20 Invalid_operation
2939 fmax36878 fma 1 -1000 sNaN21 -> NaN21 Invalid_operation
2940 fmax36879 fma 1 1000 sNaN22 -> NaN22 Invalid_operation
2941 fmax36880 fma 1 Inf sNaN23 -> NaN23 Invalid_operation
2942 fmax36881 fma 1 +NaN25 +sNaN24 -> NaN24 Invalid_operation
2943 fmax36882 fma 1 -NaN26 NaN28 -> -NaN26
2944 fmax36883 fma 1 -sNaN27 sNaN29 -> -NaN27 Invalid_operation
2945 fmax36884 fma 1 1000 -NaN30 -> -NaN30
2946 fmax36885 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
2952 fmax36571 fma 1 1E-383 0 -> 1E-383
2953 fmax36572 fma 1 1E-384 0 -> 1E-384 Subnormal
2954 fmax36573 fma 1 1E-383 1E-384 -> 1.1E-383
2955 fmax36574 subtract 1E-383 1E-384 -> 9E-384 Subnormal
2956
2957 -- Here we explore the boundary of rounding a subnormal to Nmin
2958 fmax36575 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal
2959 fmax36576 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal
2960 fmax36577 subtract 1E-383 1E-399 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
2961 fmax36578 subtract 1E-383 1E-400 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
2962 fmax36579 subtract 1E-383 1E-401 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
2963 fmax36580 subtract 1E-383 1E-402 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
2964
2965 -- check overflow edge case
2966 -- 1234567890123456
2967 fmax36972 apply 9.999999999999999E+384 -> 9.999999999999999E+384
2968 fmax36973 fma 1 9.999999999999999E+384 1 -> 9.999999999999999E+384 Inexact Rounded
2969 fmax36974 fma 1 9999999999999999E+369 1 -> 9.999999999999999E+384 Inexact Rounded
2970 fmax36975 fma 1 9999999999999999E+369 1E+369 -> Infinity Overflow Inexact Rounded
2971 fmax36976 fma 1 9999999999999999E+369 9E+368 -> Infinity Overflow Inexact Rounded
2972 fmax36977 fma 1 9999999999999999E+369 8E+368 -> Infinity Overflow Inexact Rounded
2973 fmax36978 fma 1 9999999999999999E+369 7E+368 -> Infinity Overflow Inexact Rounded
2974 fmax36979 fma 1 9999999999999999E+369 6E+368 -> Infinity Overflow Inexact Rounded
2975 fmax36980 fma 1 9999999999999999E+369 5E+368 -> Infinity Overflow Inexact Rounded
2976 fmax36981 fma 1 9999999999999999E+369 4E+368 -> 9.999999999999999E+384 Inexact Rounded
2977 fmax36982 fma 1 9999999999999999E+369 3E+368 -> 9.999999999999999E+384 Inexact Rounded
2978 fmax36983 fma 1 9999999999999999E+369 2E+368 -> 9.999999999999999E+384 Inexact Rounded
2979 fmax36984 fma 1 9999999999999999E+369 1E+368 -> 9.999999999999999E+384 Inexact Rounded
2980
2981 fmax36985 apply -9.999999999999999E+384 -> -9.999999999999999E+384
2982 fmax36986 fma 1 -9.999999999999999E+384 -1 -> -9.999999999999999E+384 Inexact Rounded
2983 fmax36987 fma 1 -9999999999999999E+369 -1 -> -9.999999999999999E+384 Inexact Rounded
2984 fmax36988 fma 1 -9999999999999999E+369 -1E+369 -> -Infinity Overflow Inexact Rounded
2985 fmax36989 fma 1 -9999999999999999E+369 -9E+368 -> -Infinity Overflow Inexact Rounded
2986 fmax36990 fma 1 -9999999999999999E+369 -8E+368 -> -Infinity Overflow Inexact Rounded
2987 fmax36991 fma 1 -9999999999999999E+369 -7E+368 -> -Infinity Overflow Inexact Rounded
2988 fmax36992 fma 1 -9999999999999999E+369 -6E+368 -> -Infinity Overflow Inexact Rounded
2989 fmax36993 fma 1 -9999999999999999E+369 -5E+368 -> -Infinity Overflow Inexact Rounded
2990 fmax36994 fma 1 -9999999999999999E+369 -4E+368 -> -9.999999999999999E+384 Inexact Rounded
2991 fmax36995 fma 1 -9999999999999999E+369 -3E+368 -> -9.999999999999999E+384 Inexact Rounded
2992 fmax36996 fma 1 -9999999999999999E+369 -2E+368 -> -9.999999999999999E+384 Inexact Rounded
2993 fmax36997 fma 1 -9999999999999999E+369 -1E+368 -> -9.999999999999999E+384 Inexact Rounded
2994
2995 -- And for round down full and subnormal results
2996 rounding: down
2997 fmax361100 fma 1 1e+2 -1e-383 -> 99.99999999999999 Rounded Inexact
2998 fmax361101 fma 1 1e+1 -1e-383 -> 9.999999999999999 Rounded Inexact
2999 fmax361103 fma 1 +1 -1e-383 -> 0.9999999999999999 Rounded Inexact
3000 fmax361104 fma 1 1e-1 -1e-383 -> 0.09999999999999999 Rounded Inexact
3001 fmax361105 fma 1 1e-2 -1e-383 -> 0.009999999999999999 Rounded Inexact
3002 fmax361106 fma 1 1e-3 -1e-383 -> 0.0009999999999999999 Rounded Inexact
3003 fmax361107 fma 1 1e-4 -1e-383 -> 0.00009999999999999999 Rounded Inexact
3004 fmax361108 fma 1 1e-5 -1e-383 -> 0.000009999999999999999 Rounded Inexact
3005 fmax361109 fma 1 1e-6 -1e-383 -> 9.999999999999999E-7 Rounded Inexact
3006
3007 rounding: ceiling
3008 fmax361110 fma 1 -1e+2 +1e-383 -> -99.99999999999999 Rounded Inexact
3009 fmax361111 fma 1 -1e+1 +1e-383 -> -9.999999999999999 Rounded Inexact
3010 fmax361113 fma 1 -1 +1e-383 -> -0.9999999999999999 Rounded Inexact
3011 fmax361114 fma 1 -1e-1 +1e-383 -> -0.09999999999999999 Rounded Inexact
3012 fmax361115 fma 1 -1e-2 +1e-383 -> -0.009999999999999999 Rounded Inexact
3013 fmax361116 fma 1 -1e-3 +1e-383 -> -0.0009999999999999999 Rounded Inexact
3014 fmax361117 fma 1 -1e-4 +1e-383 -> -0.00009999999999999999 Rounded Inexact
3015 fmax361118 fma 1 -1e-5 +1e-383 -> -0.000009999999999999999 Rounded Inexact
3016 fmax361119 fma 1 -1e-6 +1e-383 -> -9.999999999999999E-7 Rounded Inexact
3017
3018 -- tests based on Gunnar Degnbol's edge case
3019 rounding: half_even
3020
3021 fmax361300 fma 1 1E16 -0.5 -> 1.000000000000000E+16 Inexact Rounded
3022 fmax361310 fma 1 1E16 -0.51 -> 9999999999999999 Inexact Rounded
3023 fmax361311 fma 1 1E16 -0.501 -> 9999999999999999 Inexact Rounded
3024 fmax361312 fma 1 1E16 -0.5001 -> 9999999999999999 Inexact Rounded
3025 fmax361313 fma 1 1E16 -0.50001 -> 9999999999999999 Inexact Rounded
3026 fmax361314 fma 1 1E16 -0.500001 -> 9999999999999999 Inexact Rounded
3027 fmax361315 fma 1 1E16 -0.5000001 -> 9999999999999999 Inexact Rounded
3028 fmax361316 fma 1 1E16 -0.50000001 -> 9999999999999999 Inexact Rounded
3029 fmax361317 fma 1 1E16 -0.500000001 -> 9999999999999999 Inexact Rounded
3030 fmax361318 fma 1 1E16 -0.5000000001 -> 9999999999999999 Inexact Rounded
3031 fmax361319 fma 1 1E16 -0.50000000001 -> 9999999999999999 Inexact Rounded
3032 fmax361320 fma 1 1E16 -0.500000000001 -> 9999999999999999 Inexact Rounded
3033 fmax361321 fma 1 1E16 -0.5000000000001 -> 9999999999999999 Inexact Rounded
3034 fmax361322 fma 1 1E16 -0.50000000000001 -> 9999999999999999 Inexact Rounded
3035 fmax361323 fma 1 1E16 -0.500000000000001 -> 9999999999999999 Inexact Rounded
3036 fmax361324 fma 1 1E16 -0.5000000000000001 -> 9999999999999999 Inexact Rounded
3037 fmax361325 fma 1 1E16 -0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded
3038 fmax361326 fma 1 1E16 -0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded
3039 fmax361327 fma 1 1E16 -0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded
3040 fmax361328 fma 1 1E16 -0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded
3041 fmax361329 fma 1 1E16 -0.500000000000 -> 1.000000000000000E+16 Inexact Rounded
3042 fmax361330 fma 1 1E16 -0.50000000000 -> 1.000000000000000E+16 Inexact Rounded
3043 fmax361331 fma 1 1E16 -0.5000000000 -> 1.000000000000000E+16 Inexact Rounded
3044 fmax361332 fma 1 1E16 -0.500000000 -> 1.000000000000000E+16 Inexact Rounded
3045 fmax361333 fma 1 1E16 -0.50000000 -> 1.000000000000000E+16 Inexact Rounded
3046 fmax361334 fma 1 1E16 -0.5000000 -> 1.000000000000000E+16 Inexact Rounded
3047 fmax361335 fma 1 1E16 -0.500000 -> 1.000000000000000E+16 Inexact Rounded
3048 fmax361336 fma 1 1E16 -0.50000 -> 1.000000000000000E+16 Inexact Rounded
3049 fmax361337 fma 1 1E16 -0.5000 -> 1.000000000000000E+16 Inexact Rounded
3050 fmax361338 fma 1 1E16 -0.500 -> 1.000000000000000E+16 Inexact Rounded
3051 fmax361339 fma 1 1E16 -0.50 -> 1.000000000000000E+16 Inexact Rounded
3052
3053 fmax361340 fma 1 1E16 -5000000.000010001 -> 9999999995000000 Inexact Rounded
3054 fmax361341 fma 1 1E16 -5000000.000000001 -> 9999999995000000 Inexact Rounded
3055
3056 fmax361349 fma 1 9999999999999999 0.4 -> 9999999999999999 Inexact Rounded
3057 fmax361350 fma 1 9999999999999999 0.49 -> 9999999999999999 Inexact Rounded
3058 fmax361351 fma 1 9999999999999999 0.499 -> 9999999999999999 Inexact Rounded
3059 fmax361352 fma 1 9999999999999999 0.4999 -> 9999999999999999 Inexact Rounded
3060 fmax361353 fma 1 9999999999999999 0.49999 -> 9999999999999999 Inexact Rounded
3061 fmax361354 fma 1 9999999999999999 0.499999 -> 9999999999999999 Inexact Rounded
3062 fmax361355 fma 1 9999999999999999 0.4999999 -> 9999999999999999 Inexact Rounded
3063 fmax361356 fma 1 9999999999999999 0.49999999 -> 9999999999999999 Inexact Rounded
3064 fmax361357 fma 1 9999999999999999 0.499999999 -> 9999999999999999 Inexact Rounded
3065 fmax361358 fma 1 9999999999999999 0.4999999999 -> 9999999999999999 Inexact Rounded
3066 fmax361359 fma 1 9999999999999999 0.49999999999 -> 9999999999999999 Inexact Rounded
3067 fmax361360 fma 1 9999999999999999 0.499999999999 -> 9999999999999999 Inexact Rounded
3068 fmax361361 fma 1 9999999999999999 0.4999999999999 -> 9999999999999999 Inexact Rounded
3069 fmax361362 fma 1 9999999999999999 0.49999999999999 -> 9999999999999999 Inexact Rounded
3070 fmax361363 fma 1 9999999999999999 0.499999999999999 -> 9999999999999999 Inexact Rounded
3071 fmax361364 fma 1 9999999999999999 0.4999999999999999 -> 9999999999999999 Inexact Rounded
3072 fmax361365 fma 1 9999999999999999 0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded
3073 fmax361367 fma 1 9999999999999999 0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded
3074 fmax361368 fma 1 9999999999999999 0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded
3075 fmax361369 fma 1 9999999999999999 0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded
3076 fmax361370 fma 1 9999999999999999 0.500000000000 -> 1.000000000000000E+16 Inexact Rounded
3077 fmax361371 fma 1 9999999999999999 0.50000000000 -> 1.000000000000000E+16 Inexact Rounded
3078 fmax361372 fma 1 9999999999999999 0.5000000000 -> 1.000000000000000E+16 Inexact Rounded
3079 fmax361373 fma 1 9999999999999999 0.500000000 -> 1.000000000000000E+16 Inexact Rounded
3080 fmax361374 fma 1 9999999999999999 0.50000000 -> 1.000000000000000E+16 Inexact Rounded
3081 fmax361375 fma 1 9999999999999999 0.5000000 -> 1.000000000000000E+16 Inexact Rounded
3082 fmax361376 fma 1 9999999999999999 0.500000 -> 1.000000000000000E+16 Inexact Rounded
3083 fmax361377 fma 1 9999999999999999 0.50000 -> 1.000000000000000E+16 Inexact Rounded
3084 fmax361378 fma 1 9999999999999999 0.5000 -> 1.000000000000000E+16 Inexact Rounded
3085 fmax361379 fma 1 9999999999999999 0.500 -> 1.000000000000000E+16 Inexact Rounded
3086 fmax361380 fma 1 9999999999999999 0.50 -> 1.000000000000000E+16 Inexact Rounded
3087 fmax361381 fma 1 9999999999999999 0.5 -> 1.000000000000000E+16 Inexact Rounded
3088 fmax361382 fma 1 9999999999999999 0.5000000000000001 -> 1.000000000000000E+16 Inexact Rounded
3089 fmax361383 fma 1 9999999999999999 0.500000000000001 -> 1.000000000000000E+16 Inexact Rounded
3090 fmax361384 fma 1 9999999999999999 0.50000000000001 -> 1.000000000000000E+16 Inexact Rounded
3091 fmax361385 fma 1 9999999999999999 0.5000000000001 -> 1.000000000000000E+16 Inexact Rounded
3092 fmax361386 fma 1 9999999999999999 0.500000000001 -> 1.000000000000000E+16 Inexact Rounded
3093 fmax361387 fma 1 9999999999999999 0.50000000001 -> 1.000000000000000E+16 Inexact Rounded
3094 fmax361388 fma 1 9999999999999999 0.5000000001 -> 1.000000000000000E+16 Inexact Rounded
3095 fmax361389 fma 1 9999999999999999 0.500000001 -> 1.000000000000000E+16 Inexact Rounded
3096 fmax361390 fma 1 9999999999999999 0.50000001 -> 1.000000000000000E+16 Inexact Rounded
3097 fmax361391 fma 1 9999999999999999 0.5000001 -> 1.000000000000000E+16 Inexact Rounded
3098 fmax361392 fma 1 9999999999999999 0.500001 -> 1.000000000000000E+16 Inexact Rounded
3099 fmax361393 fma 1 9999999999999999 0.50001 -> 1.000000000000000E+16 Inexact Rounded
3100 fmax361394 fma 1 9999999999999999 0.5001 -> 1.000000000000000E+16 Inexact Rounded
3101 fmax361395 fma 1 9999999999999999 0.501 -> 1.000000000000000E+16 Inexact Rounded
3102 fmax361396 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
3106 fmax361420 fma 1 0 1.123456789012345 -> 1.123456789012345
3107 fmax361421 fma 1 0 1.123456789012345E-1 -> 0.1123456789012345
3108 fmax361422 fma 1 0 1.123456789012345E-2 -> 0.01123456789012345
3109 fmax361423 fma 1 0 1.123456789012345E-3 -> 0.001123456789012345
3110 fmax361424 fma 1 0 1.123456789012345E-4 -> 0.0001123456789012345
3111 fmax361425 fma 1 0 1.123456789012345E-5 -> 0.00001123456789012345
3112 fmax361426 fma 1 0 1.123456789012345E-6 -> 0.000001123456789012345
3113 fmax361427 fma 1 0 1.123456789012345E-7 -> 1.123456789012345E-7
3114 fmax361428 fma 1 0 1.123456789012345E-8 -> 1.123456789012345E-8
3115 fmax361429 fma 1 0 1.123456789012345E-9 -> 1.123456789012345E-9
3116 fmax361430 fma 1 0 1.123456789012345E-10 -> 1.123456789012345E-10
3117 fmax361431 fma 1 0 1.123456789012345E-11 -> 1.123456789012345E-11
3118 fmax361432 fma 1 0 1.123456789012345E-12 -> 1.123456789012345E-12
3119 fmax361433 fma 1 0 1.123456789012345E-13 -> 1.123456789012345E-13
3120 fmax361434 fma 1 0 1.123456789012345E-14 -> 1.123456789012345E-14
3121 fmax361435 fma 1 0 1.123456789012345E-15 -> 1.123456789012345E-15
3122 fmax361436 fma 1 0 1.123456789012345E-16 -> 1.123456789012345E-16
3123 fmax361437 fma 1 0 1.123456789012345E-17 -> 1.123456789012345E-17
3124 fmax361438 fma 1 0 1.123456789012345E-18 -> 1.123456789012345E-18
3125 fmax361439 fma 1 0 1.123456789012345E-19 -> 1.123456789012345E-19
3126
3127 -- same, reversed 0
3128 fmax361440 fma 1 1.123456789012345 0 -> 1.123456789012345
3129 fmax361441 fma 1 1.123456789012345E-1 0 -> 0.1123456789012345
3130 fmax361442 fma 1 1.123456789012345E-2 0 -> 0.01123456789012345
3131 fmax361443 fma 1 1.123456789012345E-3 0 -> 0.001123456789012345
3132 fmax361444 fma 1 1.123456789012345E-4 0 -> 0.0001123456789012345
3133 fmax361445 fma 1 1.123456789012345E-5 0 -> 0.00001123456789012345
3134 fmax361446 fma 1 1.123456789012345E-6 0 -> 0.000001123456789012345
3135 fmax361447 fma 1 1.123456789012345E-7 0 -> 1.123456789012345E-7
3136 fmax361448 fma 1 1.123456789012345E-8 0 -> 1.123456789012345E-8
3137 fmax361449 fma 1 1.123456789012345E-9 0 -> 1.123456789012345E-9
3138 fmax361450 fma 1 1.123456789012345E-10 0 -> 1.123456789012345E-10
3139 fmax361451 fma 1 1.123456789012345E-11 0 -> 1.123456789012345E-11
3140 fmax361452 fma 1 1.123456789012345E-12 0 -> 1.123456789012345E-12
3141 fmax361453 fma 1 1.123456789012345E-13 0 -> 1.123456789012345E-13
3142 fmax361454 fma 1 1.123456789012345E-14 0 -> 1.123456789012345E-14
3143 fmax361455 fma 1 1.123456789012345E-15 0 -> 1.123456789012345E-15
3144 fmax361456 fma 1 1.123456789012345E-16 0 -> 1.123456789012345E-16
3145 fmax361457 fma 1 1.123456789012345E-17 0 -> 1.123456789012345E-17
3146 fmax361458 fma 1 1.123456789012345E-18 0 -> 1.123456789012345E-18
3147 fmax361459 fma 1 1.123456789012345E-19 0 -> 1.123456789012345E-19
3148
3149 -- same, Es on the 0
3150 fmax361460 fma 1 1.123456789012345 0E-0 -> 1.123456789012345
3151 fmax361461 fma 1 1.123456789012345 0E-1 -> 1.123456789012345
3152 fmax361462 fma 1 1.123456789012345 0E-2 -> 1.123456789012345
3153 fmax361463 fma 1 1.123456789012345 0E-3 -> 1.123456789012345
3154 fmax361464 fma 1 1.123456789012345 0E-4 -> 1.123456789012345
3155 fmax361465 fma 1 1.123456789012345 0E-5 -> 1.123456789012345
3156 fmax361466 fma 1 1.123456789012345 0E-6 -> 1.123456789012345
3157 fmax361467 fma 1 1.123456789012345 0E-7 -> 1.123456789012345
3158 fmax361468 fma 1 1.123456789012345 0E-8 -> 1.123456789012345
3159 fmax361469 fma 1 1.123456789012345 0E-9 -> 1.123456789012345
3160 fmax361470 fma 1 1.123456789012345 0E-10 -> 1.123456789012345
3161 fmax361471 fma 1 1.123456789012345 0E-11 -> 1.123456789012345
3162 fmax361472 fma 1 1.123456789012345 0E-12 -> 1.123456789012345
3163 fmax361473 fma 1 1.123456789012345 0E-13 -> 1.123456789012345
3164 fmax361474 fma 1 1.123456789012345 0E-14 -> 1.123456789012345
3165 fmax361475 fma 1 1.123456789012345 0E-15 -> 1.123456789012345
3166 -- next four flag Rounded because the 0 extends the result
3167 fmax361476 fma 1 1.123456789012345 0E-16 -> 1.123456789012345 Rounded
3168 fmax361477 fma 1 1.123456789012345 0E-17 -> 1.123456789012345 Rounded
3169 fmax361478 fma 1 1.123456789012345 0E-18 -> 1.123456789012345 Rounded
3170 fmax361479 fma 1 1.123456789012345 0E-19 -> 1.123456789012345 Rounded
3171
3172 -- sum of two opposite-sign operands is exactly 0 and floor => -0
3173 rounding: half_up
3174 -- exact zeros from zeros
3175 fmax361500 fma 1 0 0E-19 -> 0E-19
3176 fmax361501 fma 1 -0 0E-19 -> 0E-19
3177 fmax361502 fma 1 0 -0E-19 -> 0E-19
3178 fmax361503 fma 1 -0 -0E-19 -> -0E-19
3179 fmax361504 fma 1 0E-400 0E-19 -> 0E-398 Clamped
3180 fmax361505 fma 1 -0E-400 0E-19 -> 0E-398 Clamped
3181 fmax361506 fma 1 0E-400 -0E-19 -> 0E-398 Clamped
3182 fmax361507 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped
3183 -- inexact zeros
3184 fmax361511 fma 1 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
3185 fmax361512 fma 1 -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
3186 fmax361513 fma 1 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
3187 fmax361514 fma 1 -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
3188 -- some exact zeros from non-zeros
3189 fmax361515 fma 1 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
3190 fmax361516 fma 1 -1E-401 1E-401 -> 0E-398 Clamped
3191 fmax361517 fma 1 1E-401 -1E-401 -> 0E-398 Clamped
3192 fmax361518 fma 1 -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
3193
3194 rounding: half_down
3195 -- exact zeros from zeros
3196 fmax361520 fma 1 0 0E-19 -> 0E-19
3197 fmax361521 fma 1 -0 0E-19 -> 0E-19
3198 fmax361522 fma 1 0 -0E-19 -> 0E-19
3199 fmax361523 fma 1 -0 -0E-19 -> -0E-19
3200 fmax361524 fma 1 0E-400 0E-19 -> 0E-398 Clamped
3201 fmax361525 fma 1 -0E-400 0E-19 -> 0E-398 Clamped
3202 fmax361526 fma 1 0E-400 -0E-19 -> 0E-398 Clamped
3203 fmax361527 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped
3204 -- inexact zeros
3205 fmax361531 fma 1 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
3206 fmax361532 fma 1 -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
3207 fmax361533 fma 1 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
3208 fmax361534 fma 1 -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
3209 -- some exact zeros from non-zeros
3210 fmax361535 fma 1 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
3211 fmax361536 fma 1 -1E-401 1E-401 -> 0E-398 Clamped
3212 fmax361537 fma 1 1E-401 -1E-401 -> 0E-398 Clamped
3213 fmax361538 fma 1 -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
3214
3215 rounding: half_even
3216 -- exact zeros from zeros
3217 fmax361540 fma 1 0 0E-19 -> 0E-19
3218 fmax361541 fma 1 -0 0E-19 -> 0E-19
3219 fmax361542 fma 1 0 -0E-19 -> 0E-19
3220 fmax361543 fma 1 -0 -0E-19 -> -0E-19
3221 fmax361544 fma 1 0E-400 0E-19 -> 0E-398 Clamped
3222 fmax361545 fma 1 -0E-400 0E-19 -> 0E-398 Clamped
3223 fmax361546 fma 1 0E-400 -0E-19 -> 0E-398 Clamped
3224 fmax361547 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped
3225 -- inexact zeros
3226 fmax361551 fma 1 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
3227 fmax361552 fma 1 -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
3228 fmax361553 fma 1 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
3229 fmax361554 fma 1 -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
3230 -- some exact zeros from non-zeros
3231 fmax361555 fma 1 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
3232 fmax361556 fma 1 -1E-401 1E-401 -> 0E-398 Clamped
3233 fmax361557 fma 1 1E-401 -1E-401 -> 0E-398 Clamped
3234 fmax361558 fma 1 -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
3235
3236 rounding: up
3237 -- exact zeros from zeros
3238 fmax361560 fma 1 0 0E-19 -> 0E-19
3239 fmax361561 fma 1 -0 0E-19 -> 0E-19
3240 fmax361562 fma 1 0 -0E-19 -> 0E-19
3241 fmax361563 fma 1 -0 -0E-19 -> -0E-19
3242 fmax361564 fma 1 0E-400 0E-19 -> 0E-398 Clamped
3243 fmax361565 fma 1 -0E-400 0E-19 -> 0E-398 Clamped
3244 fmax361566 fma 1 0E-400 -0E-19 -> 0E-398 Clamped
3245 fmax361567 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped
3246 -- inexact zeros
3247 fmax361571 fma 1 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
3248 fmax361572 fma 1 -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
3249 fmax361573 fma 1 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
3250 fmax361574 fma 1 -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
3251 -- some exact zeros from non-zeros
3252 fmax361575 fma 1 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow
3253 fmax361576 fma 1 -1E-401 1E-401 -> 0E-398 Clamped
3254 fmax361577 fma 1 1E-401 -1E-401 -> 0E-398 Clamped
3255 fmax361578 fma 1 -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow
3256
3257 rounding: down
3258 -- exact zeros from zeros
3259 fmax361580 fma 1 0 0E-19 -> 0E-19
3260 fmax361581 fma 1 -0 0E-19 -> 0E-19
3261 fmax361582 fma 1 0 -0E-19 -> 0E-19
3262 fmax361583 fma 1 -0 -0E-19 -> -0E-19
3263 fmax361584 fma 1 0E-400 0E-19 -> 0E-398 Clamped
3264 fmax361585 fma 1 -0E-400 0E-19 -> 0E-398 Clamped
3265 fmax361586 fma 1 0E-400 -0E-19 -> 0E-398 Clamped
3266 fmax361587 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped
3267 -- inexact zeros
3268 fmax361591 fma 1 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
3269 fmax361592 fma 1 -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
3270 fmax361593 fma 1 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
3271 fmax361594 fma 1 -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
3272 -- some exact zeros from non-zeros
3273 fmax361595 fma 1 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
3274 fmax361596 fma 1 -1E-401 1E-401 -> 0E-398 Clamped
3275 fmax361597 fma 1 1E-401 -1E-401 -> 0E-398 Clamped
3276 fmax361598 fma 1 -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
3277
3278 rounding: ceiling
3279 -- exact zeros from zeros
3280 fmax361600 fma 1 0 0E-19 -> 0E-19
3281 fmax361601 fma 1 -0 0E-19 -> 0E-19
3282 fmax361602 fma 1 0 -0E-19 -> 0E-19
3283 fmax361603 fma 1 -0 -0E-19 -> -0E-19
3284 fmax361604 fma 1 0E-400 0E-19 -> 0E-398 Clamped
3285 fmax361605 fma 1 -0E-400 0E-19 -> 0E-398 Clamped
3286 fmax361606 fma 1 0E-400 -0E-19 -> 0E-398 Clamped
3287 fmax361607 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped
3288 -- inexact zeros
3289 fmax361611 fma 1 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
3290 fmax361612 fma 1 -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow
3291 fmax361613 fma 1 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
3292 fmax361614 fma 1 -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped
3293 -- some exact zeros from non-zeros
3294 fmax361615 fma 1 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow
3295 fmax361616 fma 1 -1E-401 1E-401 -> 0E-398 Clamped
3296 fmax361617 fma 1 1E-401 -1E-401 -> 0E-398 Clamped
3297 fmax361618 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 -- *
3300 rounding: floor
3301 -- exact zeros from zeros
3302 fmax361620 fma 1 0 0E-19 -> 0E-19
3303 fmax361621 fma 1 -0 0E-19 -> -0E-19 -- *
3304 fmax361622 fma 1 0 -0E-19 -> -0E-19 -- *
3305 fmax361623 fma 1 -0 -0E-19 -> -0E-19
3306 fmax361624 fma 1 0E-400 0E-19 -> 0E-398 Clamped
3307 fmax361625 fma 1 -0E-400 0E-19 -> -0E-398 Clamped -- *
3308 fmax361626 fma 1 0E-400 -0E-19 -> -0E-398 Clamped -- *
3309 fmax361627 fma 1 -0E-400 -0E-19 -> -0E-398 Clamped
3310 -- inexact zeros
3311 fmax361631 fma 1 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
3312 fmax361632 fma 1 -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
3313 fmax361633 fma 1 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
3314 fmax361634 fma 1 -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow
3315 -- some exact zeros from non-zeros
3316 fmax361635 fma 1 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
3317 fmax361636 fma 1 -1E-401 1E-401 -> -0E-398 Clamped -- *
3318 fmax361637 fma 1 1E-401 -1E-401 -> -0E-398 Clamped -- *
3319 fmax361638 fma 1 -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow
3320
3321 -- Examples from SQL proposal (Krishna Kulkarni)
3322 fmax361701 fma 1 130E-2 120E-2 -> 2.50
3323 fmax361702 fma 1 130E-2 12E-1 -> 2.50
3324 fmax361703 fma 1 130E-2 1E0 -> 2.30
3325 fmax361704 fma 1 1E2 1E4 -> 1.01E+4
3326 fmax361705 subtract 130E-2 120E-2 -> 0.10
3327 fmax361706 subtract 130E-2 12E-1 -> 0.10
3328 fmax361707 subtract 130E-2 1E0 -> 0.30
3329 fmax361708 subtract 1E2 1E4 -> -9.9E+3
3330
3331 -- Gappy coefficients; check residue handling even with full coefficient gap
3332 rounding: half_even
3333
3334 fmax362001 fma 1 1234567890123456 1 -> 1234567890123457
3335 fmax362002 fma 1 1234567890123456 0.6 -> 1234567890123457 Inexact Rounded
3336 fmax362003 fma 1 1234567890123456 0.06 -> 1234567890123456 Inexact Rounded
3337 fmax362004 fma 1 1234567890123456 6E-3 -> 1234567890123456 Inexact Rounded
3338 fmax362005 fma 1 1234567890123456 6E-4 -> 1234567890123456 Inexact Rounded
3339 fmax362006 fma 1 1234567890123456 6E-5 -> 1234567890123456 Inexact Rounded
3340 fmax362007 fma 1 1234567890123456 6E-6 -> 1234567890123456 Inexact Rounded
3341 fmax362008 fma 1 1234567890123456 6E-7 -> 1234567890123456 Inexact Rounded
3342 fmax362009 fma 1 1234567890123456 6E-8 -> 1234567890123456 Inexact Rounded
3343 fmax362010 fma 1 1234567890123456 6E-9 -> 1234567890123456 Inexact Rounded
3344 fmax362011 fma 1 1234567890123456 6E-10 -> 1234567890123456 Inexact Rounded
3345 fmax362012 fma 1 1234567890123456 6E-11 -> 1234567890123456 Inexact Rounded
3346 fmax362013 fma 1 1234567890123456 6E-12 -> 1234567890123456 Inexact Rounded
3347 fmax362014 fma 1 1234567890123456 6E-13 -> 1234567890123456 Inexact Rounded
3348 fmax362015 fma 1 1234567890123456 6E-14 -> 1234567890123456 Inexact Rounded
3349 fmax362016 fma 1 1234567890123456 6E-15 -> 1234567890123456 Inexact Rounded
3350 fmax362017 fma 1 1234567890123456 6E-16 -> 1234567890123456 Inexact Rounded
3351 fmax362018 fma 1 1234567890123456 6E-17 -> 1234567890123456 Inexact Rounded
3352 fmax362019 fma 1 1234567890123456 6E-18 -> 1234567890123456 Inexact Rounded
3353 fmax362020 fma 1 1234567890123456 6E-19 -> 1234567890123456 Inexact Rounded
3354 fmax362021 fma 1 1234567890123456 6E-20 -> 1234567890123456 Inexact Rounded
3355
3356 -- widening second argument at gap
3357 fmax362030 fma 1 12345678 1 -> 12345679
3358 fmax362031 fma 1 12345678 0.1 -> 12345678.1
3359 fmax362032 fma 1 12345678 0.12 -> 12345678.12
3360 fmax362033 fma 1 12345678 0.123 -> 12345678.123
3361 fmax362034 fma 1 12345678 0.1234 -> 12345678.1234
3362 fmax362035 fma 1 12345678 0.12345 -> 12345678.12345
3363 fmax362036 fma 1 12345678 0.123456 -> 12345678.123456
3364 fmax362037 fma 1 12345678 0.1234567 -> 12345678.1234567
3365 fmax362038 fma 1 12345678 0.12345678 -> 12345678.12345678
3366 fmax362039 fma 1 12345678 0.123456789 -> 12345678.12345679 Inexact Rounded
3367 fmax362040 fma 1 12345678 0.123456785 -> 12345678.12345678 Inexact Rounded
3368 fmax362041 fma 1 12345678 0.1234567850 -> 12345678.12345678 Inexact Rounded
3369 fmax362042 fma 1 12345678 0.1234567851 -> 12345678.12345679 Inexact Rounded
3370 fmax362043 fma 1 12345678 0.12345678501 -> 12345678.12345679 Inexact Rounded
3371 fmax362044 fma 1 12345678 0.123456785001 -> 12345678.12345679 Inexact Rounded
3372 fmax362045 fma 1 12345678 0.1234567850001 -> 12345678.12345679 Inexact Rounded
3373 fmax362046 fma 1 12345678 0.12345678500001 -> 12345678.12345679 Inexact Rounded
3374 fmax362047 fma 1 12345678 0.123456785000001 -> 12345678.12345679 Inexact Rounded
3375 fmax362048 fma 1 12345678 0.1234567850000001 -> 12345678.12345679 Inexact Rounded
3376 fmax362049 fma 1 12345678 0.1234567850000000 -> 12345678.12345678 Inexact Rounded
3377 -- 90123456
3378 rounding: half_even
3379 fmax362050 fma 1 12345678 0.0234567750000000 -> 12345678.02345678 Inexact Rounded
3380 fmax362051 fma 1 12345678 0.0034567750000000 -> 12345678.00345678 Inexact Rounded
3381 fmax362052 fma 1 12345678 0.0004567750000000 -> 12345678.00045678 Inexact Rounded
3382 fmax362053 fma 1 12345678 0.0000567750000000 -> 12345678.00005678 Inexact Rounded
3383 fmax362054 fma 1 12345678 0.0000067750000000 -> 12345678.00000678 Inexact Rounded
3384 fmax362055 fma 1 12345678 0.0000007750000000 -> 12345678.00000078 Inexact Rounded
3385 fmax362056 fma 1 12345678 0.0000000750000000 -> 12345678.00000008 Inexact Rounded
3386 fmax362057 fma 1 12345678 0.0000000050000000 -> 12345678.00000000 Inexact Rounded
3387 fmax362060 fma 1 12345678 0.0234567750000001 -> 12345678.02345678 Inexact Rounded
3388 fmax362061 fma 1 12345678 0.0034567750000001 -> 12345678.00345678 Inexact Rounded
3389 fmax362062 fma 1 12345678 0.0004567750000001 -> 12345678.00045678 Inexact Rounded
3390 fmax362063 fma 1 12345678 0.0000567750000001 -> 12345678.00005678 Inexact Rounded
3391 fmax362064 fma 1 12345678 0.0000067750000001 -> 12345678.00000678 Inexact Rounded
3392 fmax362065 fma 1 12345678 0.0000007750000001 -> 12345678.00000078 Inexact Rounded
3393 fmax362066 fma 1 12345678 0.0000000750000001 -> 12345678.00000008 Inexact Rounded
3394 fmax362067 fma 1 12345678 0.0000000050000001 -> 12345678.00000001 Inexact Rounded
3395 -- far-out residues (full coefficient gap is 16+15 digits)
3396 rounding: up
3397 fmax362070 fma 1 12345678 1E-8 -> 12345678.00000001
3398 fmax362071 fma 1 12345678 1E-9 -> 12345678.00000001 Inexact Rounded
3399 fmax362072 fma 1 12345678 1E-10 -> 12345678.00000001 Inexact Rounded
3400 fmax362073 fma 1 12345678 1E-11 -> 12345678.00000001 Inexact Rounded
3401 fmax362074 fma 1 12345678 1E-12 -> 12345678.00000001 Inexact Rounded
3402 fmax362075 fma 1 12345678 1E-13 -> 12345678.00000001 Inexact Rounded
3403 fmax362076 fma 1 12345678 1E-14 -> 12345678.00000001 Inexact Rounded
3404 fmax362077 fma 1 12345678 1E-15 -> 12345678.00000001 Inexact Rounded
3405 fmax362078 fma 1 12345678 1E-16 -> 12345678.00000001 Inexact Rounded
3406 fmax362079 fma 1 12345678 1E-17 -> 12345678.00000001 Inexact Rounded
3407 fmax362080 fma 1 12345678 1E-18 -> 12345678.00000001 Inexact Rounded
3408 fmax362081 fma 1 12345678 1E-19 -> 12345678.00000001 Inexact Rounded
3409 fmax362082 fma 1 12345678 1E-20 -> 12345678.00000001 Inexact Rounded
3410 fmax362083 fma 1 12345678 1E-25 -> 12345678.00000001 Inexact Rounded
3411 fmax362084 fma 1 12345678 1E-30 -> 12345678.00000001 Inexact Rounded
3412 fmax362085 fma 1 12345678 1E-31 -> 12345678.00000001 Inexact Rounded
3413 fmax362086 fma 1 12345678 1E-32 -> 12345678.00000001 Inexact Rounded
3414 fmax362087 fma 1 12345678 1E-33 -> 12345678.00000001 Inexact Rounded
3415 fmax362088 fma 1 12345678 1E-34 -> 12345678.00000001 Inexact Rounded
3416 fmax362089 fma 1 12345678 1E-35 -> 12345678.00000001 Inexact Rounded
3417
3418 -- payload decapitate x3
3419 precision: 5
3420 fmax363000 fma 1 1 sNaN1234567890 -> NaN67890 Invalid_operation
3421 fmax363001 fma 1 -sNaN1234512345 1 -> -NaN12345 Invalid_operation
3422 fmax363002 fma sNaN1234554321 1 1 -> NaN54321 Invalid_operation
3423
3424 -- Null tests
3425 fmax39990 fma 1 10 # -> NaN Invalid_operation
3426 fmax39991 fma 1 # 10 -> NaN Invalid_operation