1 ------------------------------------------------------------------------ 2 -- ddFMA.decTest -- decDouble Fused Multiply Add -- 3 -- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. -- 4 ------------------------------------------------------------------------ 5 -- Please see the document "General Decimal Arithmetic Testcases" -- 6 -- at http://www2.hursley.ibm.com/decimal for the description of -- 7 -- these testcases. -- 8 -- -- 9 -- These testcases are experimental ('beta' versions), and they -- 10 -- may contain errors. They are offered on an as-is basis. In -- 11 -- particular, achieving the same results as the tests here is not -- 12 -- a guarantee that an implementation complies with any Standard -- 13 -- or specification. The tests are not exhaustive. -- 14 -- -- 15 -- Please send comments, suggestions, and corrections to the author: -- 16 -- Mike Cowlishaw, IBM Fellow -- 17 -- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK -- 18 -- mfc (a] uk.ibm.com -- 19 ------------------------------------------------------------------------ 20 version: 2.59 21 22 precision: 16 23 maxExponent: 384 24 minExponent: -383 25 extended: 1 26 clamp: 1 27 rounding: half_even 28 29 -- These tests comprese three parts: 30 -- 1. Sanity checks and other three-operand tests (especially those 31 -- where the fused operation makes a difference) 32 -- 2. Multiply tests (third operand is neutral zero [0E+emax]) 33 -- 3. Addition tests (first operand is 1) 34 -- The multiply and addition tests are extensive because FMA may have 35 -- its own dedicated multiplication or addition routine(s), and they 36 -- also inherently check the left-to-right properties. 37 38 -- Sanity checks 39 ddfma0001 fma 1 1 1 -> 2 40 ddfma0002 fma 1 1 2 -> 3 41 ddfma0003 fma 2 2 3 -> 7 42 ddfma0004 fma 9 9 9 -> 90 43 ddfma0005 fma -1 1 1 -> 0 44 ddfma0006 fma -1 1 2 -> 1 45 ddfma0007 fma -2 2 3 -> -1 46 ddfma0008 fma -9 9 9 -> -72 47 ddfma0011 fma 1 -1 1 -> 0 48 ddfma0012 fma 1 -1 2 -> 1 49 ddfma0013 fma 2 -2 3 -> -1 50 ddfma0014 fma 9 -9 9 -> -72 51 ddfma0015 fma 1 1 -1 -> 0 52 ddfma0016 fma 1 1 -2 -> -1 53 ddfma0017 fma 2 2 -3 -> 1 54 ddfma0018 fma 9 9 -9 -> 72 55 56 -- non-integer exacts 57 ddfma0100 fma 25.2 63.6 -438 -> 1164.72 58 ddfma0101 fma 0.301 0.380 334 -> 334.114380 59 ddfma0102 fma 49.2 -4.8 23.3 -> -212.86 60 ddfma0103 fma 4.22 0.079 -94.6 -> -94.26662 61 ddfma0104 fma 903 0.797 0.887 -> 720.578 62 ddfma0105 fma 6.13 -161 65.9 -> -921.03 63 ddfma0106 fma 28.2 727 5.45 -> 20506.85 64 ddfma0107 fma 4 605 688 -> 3108 65 ddfma0108 fma 93.3 0.19 0.226 -> 17.953 66 ddfma0109 fma 0.169 -341 5.61 -> -52.019 67 ddfma0110 fma -72.2 30 -51.2 -> -2217.2 68 ddfma0111 fma -0.409 13 20.4 -> 15.083 69 ddfma0112 fma 317 77.0 19.0 -> 24428.0 70 ddfma0113 fma 47 6.58 1.62 -> 310.88 71 ddfma0114 fma 1.36 0.984 0.493 -> 1.83124 72 ddfma0115 fma 72.7 274 1.56 -> 19921.36 73 ddfma0116 fma 335 847 83 -> 283828 74 ddfma0117 fma 666 0.247 25.4 -> 189.902 75 ddfma0118 fma -3.87 3.06 78.0 -> 66.1578 76 ddfma0119 fma 0.742 192 35.6 -> 178.064 77 ddfma0120 fma -91.6 5.29 0.153 -> -484.411 78 79 -- cases where result is different from separate multiply + add; each 80 -- is preceded by the result of unfused multiply and add 81 -- [this is about 20% of all similar cases in general] 82 -- -> 7.123356429257969E+16 83 ddfma0201 fma 27583489.6645 2582471078.04 2593183.42371 -> 7.123356429257970E+16 Inexact Rounded 84 -- -> 22813275328.80506 85 ddfma0208 fma 24280.355566 939577.397653 2032.013252 -> 22813275328.80507 Inexact Rounded 86 -- -> -2.030397734278062E+16 87 ddfma0209 fma 7848976432 -2586831.2281 137903.517909 -> -2.030397734278061E+16 Inexact Rounded 88 -- -> 2040774094814.077 89 ddfma0217 fma 56890.388731 35872030.4255 339337.123410 -> 2040774094814.078 Inexact Rounded 90 -- -> 2.714469575205049E+18 91 ddfma0220 fma 7533543.57445 360317763928 5073392.31638 -> 2.714469575205050E+18 Inexact Rounded 92 -- -> 1.011676297716716E+19 93 ddfma0223 fma 739945255.563 13672312784.1 -994381.53572 -> 1.011676297716715E+19 Inexact Rounded 94 -- -> -2.914135721455315E+23 95 ddfma0224 fma -413510957218 704729988550 9234162614.0 -> -2.914135721455314E+23 Inexact Rounded 96 -- -> 2.620119863365786E+17 97 ddfma0226 fma 437484.00601 598906432790 894450638.442 -> 2.620119863365787E+17 Inexact Rounded 98 -- -> 1.272647995808178E+19 99 ddfma0253 fma 73287556929 173651305.784 -358312568.389 -> 1.272647995808177E+19 Inexact Rounded 100 -- -> -1.753769320861851E+18 101 ddfma0257 fma 203258304486 -8628278.8066 153127.446727 -> -1.753769320861850E+18 Inexact Rounded 102 -- -> -1.550737835263346E+17 103 ddfma0260 fma 42560533.1774 -3643605282.86 178277.96377 -> -1.550737835263347E+17 Inexact Rounded 104 -- -> 2.897624620576005E+22 105 ddfma0269 fma 142656587375 203118879670 604576103991 -> 2.897624620576004E+22 Inexact Rounded 106 107 -- Cases where multiply would overflow or underflow if separate 108 fma0300 fma 9e+384 10 0 -> Infinity Overflow Inexact Rounded 109 fma0301 fma 1e+384 10 0 -> Infinity Overflow Inexact Rounded 110 fma0302 fma 1e+384 10 -1e+384 -> 9.000000000000000E+384 Clamped 111 fma0303 fma 1e+384 10 -9e+384 -> 1.000000000000000E+384 Clamped 112 -- subnormal etc. 113 fma0305 fma 1e-398 0.1 0 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped 114 fma0306 fma 1e-398 0.1 1 -> 1.000000000000000 Inexact Rounded 115 fma0307 fma 1e-398 0.1 1e-398 -> 1E-398 Underflow Subnormal Inexact Rounded 116 117 -- Infinite combinations 118 ddfma0800 fma Inf Inf Inf -> Infinity 119 ddfma0801 fma Inf Inf -Inf -> NaN Invalid_operation 120 ddfma0802 fma Inf -Inf Inf -> NaN Invalid_operation 121 ddfma0803 fma Inf -Inf -Inf -> -Infinity 122 ddfma0804 fma -Inf Inf Inf -> NaN Invalid_operation 123 ddfma0805 fma -Inf Inf -Inf -> -Infinity 124 ddfma0806 fma -Inf -Inf Inf -> Infinity 125 ddfma0807 fma -Inf -Inf -Inf -> NaN Invalid_operation 126 127 -- Triple NaN propagation 128 ddfma0900 fma NaN2 NaN3 NaN5 -> NaN2 129 ddfma0901 fma 0 NaN3 NaN5 -> NaN3 130 ddfma0902 fma 0 0 NaN5 -> NaN5 131 -- first sNaN wins (consider qNaN from earlier sNaN being 132 -- overridden by an sNaN in third operand) 133 ddfma0903 fma sNaN1 sNaN2 sNaN3 -> NaN1 Invalid_operation 134 ddfma0904 fma 0 sNaN2 sNaN3 -> NaN2 Invalid_operation 135 ddfma0905 fma 0 0 sNaN3 -> NaN3 Invalid_operation 136 ddfma0906 fma sNaN1 sNaN2 sNaN3 -> NaN1 Invalid_operation 137 ddfma0907 fma NaN7 sNaN2 sNaN3 -> NaN2 Invalid_operation 138 ddfma0908 fma NaN7 NaN5 sNaN3 -> NaN3 Invalid_operation 139 140 -- MULTIPLICATION TESTS ------------------------------------------------ 141 142 -- sanity checks 143 ddfma2000 fma 2 2 0e+384 -> 4 144 ddfma2001 fma 2 3 0e+384 -> 6 145 ddfma2002 fma 5 1 0e+384 -> 5 146 ddfma2003 fma 5 2 0e+384 -> 10 147 ddfma2004 fma 1.20 2 0e+384 -> 2.40 148 ddfma2005 fma 1.20 0 0e+384 -> 0.00 149 ddfma2006 fma 1.20 -2 0e+384 -> -2.40 150 ddfma2007 fma -1.20 2 0e+384 -> -2.40 151 ddfma2008 fma -1.20 0 0e+384 -> 0.00 152 ddfma2009 fma -1.20 -2 0e+384 -> 2.40 153 ddfma2010 fma 5.09 7.1 0e+384 -> 36.139 154 ddfma2011 fma 2.5 4 0e+384 -> 10.0 155 ddfma2012 fma 2.50 4 0e+384 -> 10.00 156 ddfma2013 fma 1.23456789 1.00000000 0e+384 -> 1.234567890000000 Rounded 157 ddfma2015 fma 2.50 4 0e+384 -> 10.00 158 ddfma2016 fma 9.999999999 9.999999999 0e+384 -> 99.99999998000000 Inexact Rounded 159 ddfma2017 fma 9.999999999 -9.999999999 0e+384 -> -99.99999998000000 Inexact Rounded 160 ddfma2018 fma -9.999999999 9.999999999 0e+384 -> -99.99999998000000 Inexact Rounded 161 ddfma2019 fma -9.999999999 -9.999999999 0e+384 -> 99.99999998000000 Inexact Rounded 162 163 -- zeros, etc. 164 ddfma2021 fma 0 0 0e+384 -> 0 165 ddfma2022 fma 0 -0 0e+384 -> 0 166 ddfma2023 fma -0 0 0e+384 -> 0 167 ddfma2024 fma -0 -0 0e+384 -> 0 168 ddfma2025 fma -0.0 -0.0 0e+384 -> 0.00 169 ddfma2026 fma -0.0 -0.0 0e+384 -> 0.00 170 ddfma2027 fma -0.0 -0.0 0e+384 -> 0.00 171 ddfma2028 fma -0.0 -0.0 0e+384 -> 0.00 172 ddfma2030 fma 5.00 1E-3 0e+384 -> 0.00500 173 ddfma2031 fma 00.00 0.000 0e+384 -> 0.00000 174 ddfma2032 fma 00.00 0E-3 0e+384 -> 0.00000 -- rhs is 0 175 ddfma2033 fma 0E-3 00.00 0e+384 -> 0.00000 -- lhs is 0 176 ddfma2034 fma -5.00 1E-3 0e+384 -> -0.00500 177 ddfma2035 fma -00.00 0.000 0e+384 -> 0.00000 178 ddfma2036 fma -00.00 0E-3 0e+384 -> 0.00000 -- rhs is 0 179 ddfma2037 fma -0E-3 00.00 0e+384 -> 0.00000 -- lhs is 0 180 ddfma2038 fma 5.00 -1E-3 0e+384 -> -0.00500 181 ddfma2039 fma 00.00 -0.000 0e+384 -> 0.00000 182 ddfma2040 fma 00.00 -0E-3 0e+384 -> 0.00000 -- rhs is 0 183 ddfma2041 fma 0E-3 -00.00 0e+384 -> 0.00000 -- lhs is 0 184 ddfma2042 fma -5.00 -1E-3 0e+384 -> 0.00500 185 ddfma2043 fma -00.00 -0.000 0e+384 -> 0.00000 186 ddfma2044 fma -00.00 -0E-3 0e+384 -> 0.00000 -- rhs is 0 187 ddfma2045 fma -0E-3 -00.00 -0e+384 -> 0.00000 -- lhs is 0 188 ddfma2046 fma -0E-3 00.00 -0e+384 -> -0.00000 189 ddfma2047 fma 0E-3 -00.00 -0e+384 -> -0.00000 190 ddfma2048 fma 0E-3 00.00 -0e+384 -> 0.00000 191 192 -- examples from decarith 193 ddfma2050 fma 1.20 3 0e+384 -> 3.60 194 ddfma2051 fma 7 3 0e+384 -> 21 195 ddfma2052 fma 0.9 0.8 0e+384 -> 0.72 196 ddfma2053 fma 0.9 -0 0e+384 -> 0.0 197 ddfma2054 fma 654321 654321 0e+384 -> 428135971041 198 199 ddfma2060 fma 123.45 1e7 0e+384 -> 1.2345E+9 200 ddfma2061 fma 123.45 1e8 0e+384 -> 1.2345E+10 201 ddfma2062 fma 123.45 1e+9 0e+384 -> 1.2345E+11 202 ddfma2063 fma 123.45 1e10 0e+384 -> 1.2345E+12 203 ddfma2064 fma 123.45 1e11 0e+384 -> 1.2345E+13 204 ddfma2065 fma 123.45 1e12 0e+384 -> 1.2345E+14 205 ddfma2066 fma 123.45 1e13 0e+384 -> 1.2345E+15 206 207 208 -- test some intermediate lengths 209 -- 1234567890123456 210 ddfma2080 fma 0.1 1230123456456789 0e+384 -> 123012345645678.9 211 ddfma2084 fma 0.1 1230123456456789 0e+384 -> 123012345645678.9 212 ddfma2090 fma 1230123456456789 0.1 0e+384 -> 123012345645678.9 213 ddfma2094 fma 1230123456456789 0.1 0e+384 -> 123012345645678.9 214 215 -- test some more edge cases and carries 216 ddfma2101 fma 9 9 0e+384 -> 81 217 ddfma2102 fma 9 90 0e+384 -> 810 218 ddfma2103 fma 9 900 0e+384 -> 8100 219 ddfma2104 fma 9 9000 0e+384 -> 81000 220 ddfma2105 fma 9 90000 0e+384 -> 810000 221 ddfma2106 fma 9 900000 0e+384 -> 8100000 222 ddfma2107 fma 9 9000000 0e+384 -> 81000000 223 ddfma2108 fma 9 90000000 0e+384 -> 810000000 224 ddfma2109 fma 9 900000000 0e+384 -> 8100000000 225 ddfma2110 fma 9 9000000000 0e+384 -> 81000000000 226 ddfma2111 fma 9 90000000000 0e+384 -> 810000000000 227 ddfma2112 fma 9 900000000000 0e+384 -> 8100000000000 228 ddfma2113 fma 9 9000000000000 0e+384 -> 81000000000000 229 ddfma2114 fma 9 90000000000000 0e+384 -> 810000000000000 230 ddfma2115 fma 9 900000000000000 0e+384 -> 8100000000000000 231 --ddfma2116 fma 9 9000000000000000 0e+384 -> 81000000000000000 232 --ddfma2117 fma 9 90000000000000000 0e+384 -> 810000000000000000 233 --ddfma2118 fma 9 900000000000000000 0e+384 -> 8100000000000000000 234 --ddfma2119 fma 9 9000000000000000000 0e+384 -> 81000000000000000000 235 --ddfma2120 fma 9 90000000000000000000 0e+384 -> 810000000000000000000 236 --ddfma2121 fma 9 900000000000000000000 0e+384 -> 8100000000000000000000 237 --ddfma2122 fma 9 9000000000000000000000 0e+384 -> 81000000000000000000000 238 --ddfma2123 fma 9 90000000000000000000000 0e+384 -> 810000000000000000000000 239 -- test some more edge cases without carries 240 ddfma2131 fma 3 3 0e+384 -> 9 241 ddfma2132 fma 3 30 0e+384 -> 90 242 ddfma2133 fma 3 300 0e+384 -> 900 243 ddfma2134 fma 3 3000 0e+384 -> 9000 244 ddfma2135 fma 3 30000 0e+384 -> 90000 245 ddfma2136 fma 3 300000 0e+384 -> 900000 246 ddfma2137 fma 3 3000000 0e+384 -> 9000000 247 ddfma2138 fma 3 30000000 0e+384 -> 90000000 248 ddfma2139 fma 3 300000000 0e+384 -> 900000000 249 ddfma2140 fma 3 3000000000 0e+384 -> 9000000000 250 ddfma2141 fma 3 30000000000 0e+384 -> 90000000000 251 ddfma2142 fma 3 300000000000 0e+384 -> 900000000000 252 ddfma2143 fma 3 3000000000000 0e+384 -> 9000000000000 253 ddfma2144 fma 3 30000000000000 0e+384 -> 90000000000000 254 ddfma2145 fma 3 300000000000000 0e+384 -> 900000000000000 255 256 -- test some edge cases with exact rounding 257 ddfma2301 fma 9 9 0e+384 -> 81 258 ddfma2302 fma 9 90 0e+384 -> 810 259 ddfma2303 fma 9 900 0e+384 -> 8100 260 ddfma2304 fma 9 9000 0e+384 -> 81000 261 ddfma2305 fma 9 90000 0e+384 -> 810000 262 ddfma2306 fma 9 900000 0e+384 -> 8100000 263 ddfma2307 fma 9 9000000 0e+384 -> 81000000 264 ddfma2308 fma 9 90000000 0e+384 -> 810000000 265 ddfma2309 fma 9 900000000 0e+384 -> 8100000000 266 ddfma2310 fma 9 9000000000 0e+384 -> 81000000000 267 ddfma2311 fma 9 90000000000 0e+384 -> 810000000000 268 ddfma2312 fma 9 900000000000 0e+384 -> 8100000000000 269 ddfma2313 fma 9 9000000000000 0e+384 -> 81000000000000 270 ddfma2314 fma 9 90000000000000 0e+384 -> 810000000000000 271 ddfma2315 fma 9 900000000000000 0e+384 -> 8100000000000000 272 ddfma2316 fma 9 9000000000000000 0e+384 -> 8.100000000000000E+16 Rounded 273 ddfma2317 fma 90 9000000000000000 0e+384 -> 8.100000000000000E+17 Rounded 274 ddfma2318 fma 900 9000000000000000 0e+384 -> 8.100000000000000E+18 Rounded 275 ddfma2319 fma 9000 9000000000000000 0e+384 -> 8.100000000000000E+19 Rounded 276 ddfma2320 fma 90000 9000000000000000 0e+384 -> 8.100000000000000E+20 Rounded 277 ddfma2321 fma 900000 9000000000000000 0e+384 -> 8.100000000000000E+21 Rounded 278 ddfma2322 fma 9000000 9000000000000000 0e+384 -> 8.100000000000000E+22 Rounded 279 ddfma2323 fma 90000000 9000000000000000 0e+384 -> 8.100000000000000E+23 Rounded 280 281 -- tryzeros cases 282 ddfma2504 fma 0E-260 1000E-260 0e+384 -> 0E-398 Clamped 283 ddfma2505 fma 100E+260 0E+260 0e+384 -> 0E+369 Clamped 284 285 -- mixed with zeros 286 ddfma2541 fma 0 -1 0e+384 -> 0 287 ddfma2542 fma -0 -1 0e+384 -> 0 288 ddfma2543 fma 0 1 0e+384 -> 0 289 ddfma2544 fma -0 1 0e+384 -> 0 290 ddfma2545 fma -1 0 0e+384 -> 0 291 ddfma2546 fma -1 -0 0e+384 -> 0 292 ddfma2547 fma 1 0 0e+384 -> 0 293 ddfma2548 fma 1 -0 0e+384 -> 0 294 295 ddfma2551 fma 0.0 -1 0e+384 -> 0.0 296 ddfma2552 fma -0.0 -1 0e+384 -> 0.0 297 ddfma2553 fma 0.0 1 0e+384 -> 0.0 298 ddfma2554 fma -0.0 1 0e+384 -> 0.0 299 ddfma2555 fma -1.0 0 0e+384 -> 0.0 300 ddfma2556 fma -1.0 -0 0e+384 -> 0.0 301 ddfma2557 fma 1.0 0 0e+384 -> 0.0 302 ddfma2558 fma 1.0 -0 0e+384 -> 0.0 303 304 ddfma2561 fma 0 -1.0 0e+384 -> 0.0 305 ddfma2562 fma -0 -1.0 0e+384 -> 0.0 306 ddfma2563 fma 0 1.0 0e+384 -> 0.0 307 ddfma2564 fma -0 1.0 0e+384 -> 0.0 308 ddfma2565 fma -1 0.0 0e+384 -> 0.0 309 ddfma2566 fma -1 -0.0 0e+384 -> 0.0 310 ddfma2567 fma 1 0.0 0e+384 -> 0.0 311 ddfma2568 fma 1 -0.0 0e+384 -> 0.0 312 313 ddfma2571 fma 0.0 -1.0 0e+384 -> 0.00 314 ddfma2572 fma -0.0 -1.0 0e+384 -> 0.00 315 ddfma2573 fma 0.0 1.0 0e+384 -> 0.00 316 ddfma2574 fma -0.0 1.0 0e+384 -> 0.00 317 ddfma2575 fma -1.0 0.0 0e+384 -> 0.00 318 ddfma2576 fma -1.0 -0.0 0e+384 -> 0.00 319 ddfma2577 fma 1.0 0.0 0e+384 -> 0.00 320 ddfma2578 fma 1.0 -0.0 0e+384 -> 0.00 321 322 -- Specials 323 ddfma2580 fma Inf -Inf 0e+384 -> -Infinity 324 ddfma2581 fma Inf -1000 0e+384 -> -Infinity 325 ddfma2582 fma Inf -1 0e+384 -> -Infinity 326 ddfma2583 fma Inf -0 0e+384 -> NaN Invalid_operation 327 ddfma2584 fma Inf 0 0e+384 -> NaN Invalid_operation 328 ddfma2585 fma Inf 1 0e+384 -> Infinity 329 ddfma2586 fma Inf 1000 0e+384 -> Infinity 330 ddfma2587 fma Inf Inf 0e+384 -> Infinity 331 ddfma2588 fma -1000 Inf 0e+384 -> -Infinity 332 ddfma2589 fma -Inf Inf 0e+384 -> -Infinity 333 ddfma2590 fma -1 Inf 0e+384 -> -Infinity 334 ddfma2591 fma -0 Inf 0e+384 -> NaN Invalid_operation 335 ddfma2592 fma 0 Inf 0e+384 -> NaN Invalid_operation 336 ddfma2593 fma 1 Inf 0e+384 -> Infinity 337 ddfma2594 fma 1000 Inf 0e+384 -> Infinity 338 ddfma2595 fma Inf Inf 0e+384 -> Infinity 339 340 ddfma2600 fma -Inf -Inf 0e+384 -> Infinity 341 ddfma2601 fma -Inf -1000 0e+384 -> Infinity 342 ddfma2602 fma -Inf -1 0e+384 -> Infinity 343 ddfma2603 fma -Inf -0 0e+384 -> NaN Invalid_operation 344 ddfma2604 fma -Inf 0 0e+384 -> NaN Invalid_operation 345 ddfma2605 fma -Inf 1 0e+384 -> -Infinity 346 ddfma2606 fma -Inf 1000 0e+384 -> -Infinity 347 ddfma2607 fma -Inf Inf 0e+384 -> -Infinity 348 ddfma2608 fma -1000 Inf 0e+384 -> -Infinity 349 ddfma2609 fma -Inf -Inf 0e+384 -> Infinity 350 ddfma2610 fma -1 -Inf 0e+384 -> Infinity 351 ddfma2611 fma -0 -Inf 0e+384 -> NaN Invalid_operation 352 ddfma2612 fma 0 -Inf 0e+384 -> NaN Invalid_operation 353 ddfma2613 fma 1 -Inf 0e+384 -> -Infinity 354 ddfma2614 fma 1000 -Inf 0e+384 -> -Infinity 355 ddfma2615 fma Inf -Inf 0e+384 -> -Infinity 356 357 ddfma2621 fma NaN -Inf 0e+384 -> NaN 358 ddfma2622 fma NaN -1000 0e+384 -> NaN 359 ddfma2623 fma NaN -1 0e+384 -> NaN 360 ddfma2624 fma NaN -0 0e+384 -> NaN 361 ddfma2625 fma NaN 0 0e+384 -> NaN 362 ddfma2626 fma NaN 1 0e+384 -> NaN 363 ddfma2627 fma NaN 1000 0e+384 -> NaN 364 ddfma2628 fma NaN Inf 0e+384 -> NaN 365 ddfma2629 fma NaN NaN 0e+384 -> NaN 366 ddfma2630 fma -Inf NaN 0e+384 -> NaN 367 ddfma2631 fma -1000 NaN 0e+384 -> NaN 368 ddfma2632 fma -1 NaN 0e+384 -> NaN 369 ddfma2633 fma -0 NaN 0e+384 -> NaN 370 ddfma2634 fma 0 NaN 0e+384 -> NaN 371 ddfma2635 fma 1 NaN 0e+384 -> NaN 372 ddfma2636 fma 1000 NaN 0e+384 -> NaN 373 ddfma2637 fma Inf NaN 0e+384 -> NaN 374 375 ddfma2641 fma sNaN -Inf 0e+384 -> NaN Invalid_operation 376 ddfma2642 fma sNaN -1000 0e+384 -> NaN Invalid_operation 377 ddfma2643 fma sNaN -1 0e+384 -> NaN Invalid_operation 378 ddfma2644 fma sNaN -0 0e+384 -> NaN Invalid_operation 379 ddfma2645 fma sNaN 0 0e+384 -> NaN Invalid_operation 380 ddfma2646 fma sNaN 1 0e+384 -> NaN Invalid_operation 381 ddfma2647 fma sNaN 1000 0e+384 -> NaN Invalid_operation 382 ddfma2648 fma sNaN NaN 0e+384 -> NaN Invalid_operation 383 ddfma2649 fma sNaN sNaN 0e+384 -> NaN Invalid_operation 384 ddfma2650 fma NaN sNaN 0e+384 -> NaN Invalid_operation 385 ddfma2651 fma -Inf sNaN 0e+384 -> NaN Invalid_operation 386 ddfma2652 fma -1000 sNaN 0e+384 -> NaN Invalid_operation 387 ddfma2653 fma -1 sNaN 0e+384 -> NaN Invalid_operation 388 ddfma2654 fma -0 sNaN 0e+384 -> NaN Invalid_operation 389 ddfma2655 fma 0 sNaN 0e+384 -> NaN Invalid_operation 390 ddfma2656 fma 1 sNaN 0e+384 -> NaN Invalid_operation 391 ddfma2657 fma 1000 sNaN 0e+384 -> NaN Invalid_operation 392 ddfma2658 fma Inf sNaN 0e+384 -> NaN Invalid_operation 393 ddfma2659 fma NaN sNaN 0e+384 -> NaN Invalid_operation 394 395 -- propagating NaNs 396 ddfma2661 fma NaN9 -Inf 0e+384 -> NaN9 397 ddfma2662 fma NaN8 999 0e+384 -> NaN8 398 ddfma2663 fma NaN71 Inf 0e+384 -> NaN71 399 ddfma2664 fma NaN6 NaN5 0e+384 -> NaN6 400 ddfma2665 fma -Inf NaN4 0e+384 -> NaN4 401 ddfma2666 fma -999 NaN33 0e+384 -> NaN33 402 ddfma2667 fma Inf NaN2 0e+384 -> NaN2 403 404 ddfma2671 fma sNaN99 -Inf 0e+384 -> NaN99 Invalid_operation 405 ddfma2672 fma sNaN98 -11 0e+384 -> NaN98 Invalid_operation 406 ddfma2673 fma sNaN97 NaN 0e+384 -> NaN97 Invalid_operation 407 ddfma2674 fma sNaN16 sNaN94 0e+384 -> NaN16 Invalid_operation 408 ddfma2675 fma NaN95 sNaN93 0e+384 -> NaN93 Invalid_operation 409 ddfma2676 fma -Inf sNaN92 0e+384 -> NaN92 Invalid_operation 410 ddfma2677 fma 088 sNaN91 0e+384 -> NaN91 Invalid_operation 411 ddfma2678 fma Inf sNaN90 0e+384 -> NaN90 Invalid_operation 412 ddfma2679 fma NaN sNaN89 0e+384 -> NaN89 Invalid_operation 413 414 ddfma2681 fma -NaN9 -Inf 0e+384 -> -NaN9 415 ddfma2682 fma -NaN8 999 0e+384 -> -NaN8 416 ddfma2683 fma -NaN71 Inf 0e+384 -> -NaN71 417 ddfma2684 fma -NaN6 -NaN5 0e+384 -> -NaN6 418 ddfma2685 fma -Inf -NaN4 0e+384 -> -NaN4 419 ddfma2686 fma -999 -NaN33 0e+384 -> -NaN33 420 ddfma2687 fma Inf -NaN2 0e+384 -> -NaN2 421 422 ddfma2691 fma -sNaN99 -Inf 0e+384 -> -NaN99 Invalid_operation 423 ddfma2692 fma -sNaN98 -11 0e+384 -> -NaN98 Invalid_operation 424 ddfma2693 fma -sNaN97 NaN 0e+384 -> -NaN97 Invalid_operation 425 ddfma2694 fma -sNaN16 -sNaN94 0e+384 -> -NaN16 Invalid_operation 426 ddfma2695 fma -NaN95 -sNaN93 0e+384 -> -NaN93 Invalid_operation 427 ddfma2696 fma -Inf -sNaN92 0e+384 -> -NaN92 Invalid_operation 428 ddfma2697 fma 088 -sNaN91 0e+384 -> -NaN91 Invalid_operation 429 ddfma2698 fma Inf -sNaN90 0e+384 -> -NaN90 Invalid_operation 430 ddfma2699 fma -NaN -sNaN89 0e+384 -> -NaN89 Invalid_operation 431 432 ddfma2701 fma -NaN -Inf 0e+384 -> -NaN 433 ddfma2702 fma -NaN 999 0e+384 -> -NaN 434 ddfma2703 fma -NaN Inf 0e+384 -> -NaN 435 ddfma2704 fma -NaN -NaN 0e+384 -> -NaN 436 ddfma2705 fma -Inf -NaN0 0e+384 -> -NaN 437 ddfma2706 fma -999 -NaN 0e+384 -> -NaN 438 ddfma2707 fma Inf -NaN 0e+384 -> -NaN 439 440 ddfma2711 fma -sNaN -Inf 0e+384 -> -NaN Invalid_operation 441 ddfma2712 fma -sNaN -11 0e+384 -> -NaN Invalid_operation 442 ddfma2713 fma -sNaN00 NaN 0e+384 -> -NaN Invalid_operation 443 ddfma2714 fma -sNaN -sNaN 0e+384 -> -NaN Invalid_operation 444 ddfma2715 fma -NaN -sNaN 0e+384 -> -NaN Invalid_operation 445 ddfma2716 fma -Inf -sNaN 0e+384 -> -NaN Invalid_operation 446 ddfma2717 fma 088 -sNaN 0e+384 -> -NaN Invalid_operation 447 ddfma2718 fma Inf -sNaN 0e+384 -> -NaN Invalid_operation 448 ddfma2719 fma -NaN -sNaN 0e+384 -> -NaN Invalid_operation 449 450 -- overflow and underflow tests .. note subnormal results 451 -- signs 452 ddfma2751 fma 1e+277 1e+311 0e+384 -> Infinity Overflow Inexact Rounded 453 ddfma2752 fma 1e+277 -1e+311 0e+384 -> -Infinity Overflow Inexact Rounded 454 ddfma2753 fma -1e+277 1e+311 0e+384 -> -Infinity Overflow Inexact Rounded 455 ddfma2754 fma -1e+277 -1e+311 0e+384 -> Infinity Overflow Inexact Rounded 456 ddfma2755 fma 1e-277 1e-311 0e+384 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped 457 ddfma2756 fma 1e-277 -1e-311 0e+384 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped 458 ddfma2757 fma -1e-277 1e-311 0e+384 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped 459 ddfma2758 fma -1e-277 -1e-311 0e+384 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped 460 461 -- 'subnormal' boundary (all hard underflow or overflow in base arithemtic) 462 ddfma2760 fma 1e-291 1e-101 0e+384 -> 1E-392 Subnormal 463 ddfma2761 fma 1e-291 1e-102 0e+384 -> 1E-393 Subnormal 464 ddfma2762 fma 1e-291 1e-103 0e+384 -> 1E-394 Subnormal 465 ddfma2763 fma 1e-291 1e-104 0e+384 -> 1E-395 Subnormal 466 ddfma2764 fma 1e-291 1e-105 0e+384 -> 1E-396 Subnormal 467 ddfma2765 fma 1e-291 1e-106 0e+384 -> 1E-397 Subnormal 468 ddfma2766 fma 1e-291 1e-107 0e+384 -> 1E-398 Subnormal 469 ddfma2767 fma 1e-291 1e-108 0e+384 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped 470 ddfma2768 fma 1e-291 1e-109 0e+384 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped 471 ddfma2769 fma 1e-291 1e-110 0e+384 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped 472 -- [no equivalent of 'subnormal' for overflow] 473 ddfma2770 fma 1e+60 1e+321 0e+384 -> 1.000000000000E+381 Clamped 474 ddfma2771 fma 1e+60 1e+322 0e+384 -> 1.0000000000000E+382 Clamped 475 ddfma2772 fma 1e+60 1e+323 0e+384 -> 1.00000000000000E+383 Clamped 476 ddfma2773 fma 1e+60 1e+324 0e+384 -> 1.000000000000000E+384 Clamped 477 ddfma2774 fma 1e+60 1e+325 0e+384 -> Infinity Overflow Inexact Rounded 478 ddfma2775 fma 1e+60 1e+326 0e+384 -> Infinity Overflow Inexact Rounded 479 ddfma2776 fma 1e+60 1e+327 0e+384 -> Infinity Overflow Inexact Rounded 480 ddfma2777 fma 1e+60 1e+328 0e+384 -> Infinity Overflow Inexact Rounded 481 ddfma2778 fma 1e+60 1e+329 0e+384 -> Infinity Overflow Inexact Rounded 482 ddfma2779 fma 1e+60 1e+330 0e+384 -> Infinity Overflow Inexact Rounded 483 484 ddfma2801 fma 1.0000E-394 1 0e+384 -> 1.0000E-394 Subnormal 485 ddfma2802 fma 1.000E-394 1e-1 0e+384 -> 1.000E-395 Subnormal 486 ddfma2803 fma 1.00E-394 1e-2 0e+384 -> 1.00E-396 Subnormal 487 ddfma2804 fma 1.0E-394 1e-3 0e+384 -> 1.0E-397 Subnormal 488 ddfma2805 fma 1.0E-394 1e-4 0e+384 -> 1E-398 Subnormal Rounded 489 ddfma2806 fma 1.3E-394 1e-4 0e+384 -> 1E-398 Underflow Subnormal Inexact Rounded 490 ddfma2807 fma 1.5E-394 1e-4 0e+384 -> 2E-398 Underflow Subnormal Inexact Rounded 491 ddfma2808 fma 1.7E-394 1e-4 0e+384 -> 2E-398 Underflow Subnormal Inexact Rounded 492 ddfma2809 fma 2.3E-394 1e-4 0e+384 -> 2E-398 Underflow Subnormal Inexact Rounded 493 ddfma2810 fma 2.5E-394 1e-4 0e+384 -> 2E-398 Underflow Subnormal Inexact Rounded 494 ddfma2811 fma 2.7E-394 1e-4 0e+384 -> 3E-398 Underflow Subnormal Inexact Rounded 495 ddfma2812 fma 1.49E-394 1e-4 0e+384 -> 1E-398 Underflow Subnormal Inexact Rounded 496 ddfma2813 fma 1.50E-394 1e-4 0e+384 -> 2E-398 Underflow Subnormal Inexact Rounded 497 ddfma2814 fma 1.51E-394 1e-4 0e+384 -> 2E-398 Underflow Subnormal Inexact Rounded 498 ddfma2815 fma 2.49E-394 1e-4 0e+384 -> 2E-398 Underflow Subnormal Inexact Rounded 499 ddfma2816 fma 2.50E-394 1e-4 0e+384 -> 2E-398 Underflow Subnormal Inexact Rounded 500 ddfma2817 fma 2.51E-394 1e-4 0e+384 -> 3E-398 Underflow Subnormal Inexact Rounded 501 502 ddfma2818 fma 1E-394 1e-4 0e+384 -> 1E-398 Subnormal 503 ddfma2819 fma 3E-394 1e-5 0e+384 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped 504 ddfma2820 fma 5E-394 1e-5 0e+384 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped 505 ddfma2821 fma 7E-394 1e-5 0e+384 -> 1E-398 Underflow Subnormal Inexact Rounded 506 ddfma2822 fma 9E-394 1e-5 0e+384 -> 1E-398 Underflow Subnormal Inexact Rounded 507 ddfma2823 fma 9.9E-394 1e-5 0e+384 -> 1E-398 Underflow Subnormal Inexact Rounded 508 509 ddfma2824 fma 1E-394 -1e-4 0e+384 -> -1E-398 Subnormal 510 ddfma2825 fma 3E-394 -1e-5 0e+384 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped 511 ddfma2826 fma -5E-394 1e-5 0e+384 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped 512 ddfma2827 fma 7E-394 -1e-5 0e+384 -> -1E-398 Underflow Subnormal Inexact Rounded 513 ddfma2828 fma -9E-394 1e-5 0e+384 -> -1E-398 Underflow Subnormal Inexact Rounded 514 ddfma2829 fma 9.9E-394 -1e-5 0e+384 -> -1E-398 Underflow Subnormal Inexact Rounded 515 ddfma2830 fma 3.0E-394 -1e-5 0e+384 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped 516 517 ddfma2831 fma 1.0E-199 1e-200 0e+384 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped 518 ddfma2832 fma 1.0E-199 1e-199 0e+384 -> 1E-398 Subnormal Rounded 519 ddfma2833 fma 1.0E-199 1e-198 0e+384 -> 1.0E-397 Subnormal 520 ddfma2834 fma 2.0E-199 2e-198 0e+384 -> 4.0E-397 Subnormal 521 ddfma2835 fma 4.0E-199 4e-198 0e+384 -> 1.60E-396 Subnormal 522 ddfma2836 fma 10.0E-199 10e-198 0e+384 -> 1.000E-395 Subnormal 523 ddfma2837 fma 30.0E-199 30e-198 0e+384 -> 9.000E-395 Subnormal 524 ddfma2838 fma 40.0E-199 40e-188 0e+384 -> 1.6000E-384 Subnormal 525 ddfma2839 fma 40.0E-199 40e-187 0e+384 -> 1.6000E-383 526 ddfma2840 fma 40.0E-199 40e-186 0e+384 -> 1.6000E-382 527 528 -- Long operand overflow may be a different path 529 ddfma2870 fma 100 9.999E+383 0e+384 -> Infinity Inexact Overflow Rounded 530 ddfma2871 fma 100 -9.999E+383 0e+384 -> -Infinity Inexact Overflow Rounded 531 ddfma2872 fma 9.999E+383 100 0e+384 -> Infinity Inexact Overflow Rounded 532 ddfma2873 fma -9.999E+383 100 0e+384 -> -Infinity Inexact Overflow Rounded 533 534 -- check for double-rounded subnormals 535 ddfma2881 fma 1.2347E-355 1.2347E-40 0e+384 -> 1.524E-395 Inexact Rounded Subnormal Underflow 536 ddfma2882 fma 1.234E-355 1.234E-40 0e+384 -> 1.523E-395 Inexact Rounded Subnormal Underflow 537 ddfma2883 fma 1.23E-355 1.23E-40 0e+384 -> 1.513E-395 Inexact Rounded Subnormal Underflow 538 ddfma2884 fma 1.2E-355 1.2E-40 0e+384 -> 1.44E-395 Subnormal 539 ddfma2885 fma 1.2E-355 1.2E-41 0e+384 -> 1.44E-396 Subnormal 540 ddfma2886 fma 1.2E-355 1.2E-42 0e+384 -> 1.4E-397 Subnormal Inexact Rounded Underflow 541 ddfma2887 fma 1.2E-355 1.3E-42 0e+384 -> 1.6E-397 Subnormal Inexact Rounded Underflow 542 ddfma2888 fma 1.3E-355 1.3E-42 0e+384 -> 1.7E-397 Subnormal Inexact Rounded Underflow 543 ddfma2889 fma 1.3E-355 1.3E-43 0e+384 -> 2E-398 Subnormal Inexact Rounded Underflow 544 ddfma2890 fma 1.3E-356 1.3E-43 0e+384 -> 0E-398 Clamped Subnormal Inexact Rounded Underflow 545 546 ddfma2891 fma 1.2345E-39 1.234E-355 0e+384 -> 1.5234E-394 Inexact Rounded Subnormal Underflow 547 ddfma2892 fma 1.23456E-39 1.234E-355 0e+384 -> 1.5234E-394 Inexact Rounded Subnormal Underflow 548 ddfma2893 fma 1.2345E-40 1.234E-355 0e+384 -> 1.523E-395 Inexact Rounded Subnormal Underflow 549 ddfma2894 fma 1.23456E-40 1.234E-355 0e+384 -> 1.523E-395 Inexact Rounded Subnormal Underflow 550 ddfma2895 fma 1.2345E-41 1.234E-355 0e+384 -> 1.52E-396 Inexact Rounded Subnormal Underflow 551 ddfma2896 fma 1.23456E-41 1.234E-355 0e+384 -> 1.52E-396 Inexact Rounded Subnormal Underflow 552 553 -- Now explore the case where we get a normal result with Underflow 554 ddfma2900 fma 0.3000000000E-191 0.3000000000E-191 0e+384 -> 9.00000000000000E-384 Subnormal Rounded 555 ddfma2901 fma 0.3000000001E-191 0.3000000001E-191 0e+384 -> 9.00000000600000E-384 Underflow Inexact Subnormal Rounded 556 ddfma2902 fma 9.999999999999999E-383 0.0999999999999 0e+384 -> 9.99999999999000E-384 Underflow Inexact Subnormal Rounded 557 ddfma2903 fma 9.999999999999999E-383 0.09999999999999 0e+384 -> 9.99999999999900E-384 Underflow Inexact Subnormal Rounded 558 ddfma2904 fma 9.999999999999999E-383 0.099999999999999 0e+384 -> 9.99999999999990E-384 Underflow Inexact Subnormal Rounded 559 ddfma2905 fma 9.999999999999999E-383 0.0999999999999999 0e+384 -> 9.99999999999999E-384 Underflow Inexact Subnormal Rounded 560 -- prove operands are exact 561 ddfma2906 fma 9.999999999999999E-383 1 0e+384 -> 9.999999999999999E-383 562 ddfma2907 fma 1 0.09999999999999999 0e+384 -> 0.09999999999999999 563 -- the next rounds to Nmin 564 ddfma2908 fma 9.999999999999999E-383 0.09999999999999999 0e+384 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded 565 566 -- hugest 567 ddfma2909 fma 9999999999999999 9999999999999999 0e+384 -> 9.999999999999998E+31 Inexact Rounded 568 569 -- Null tests 570 ddfma2990 fma 10 # 0e+384 -> NaN Invalid_operation 571 ddfma2991 fma # 10 0e+384 -> NaN Invalid_operation 572 573 574 -- ADDITION TESTS ------------------------------------------------------ 575 576 -- [first group are 'quick confidence check'] 577 ddfma3001 fma 1 1 1 -> 2 578 ddfma3002 fma 1 2 3 -> 5 579 ddfma3003 fma 1 '5.75' '3.3' -> 9.05 580 ddfma3004 fma 1 '5' '-3' -> 2 581 ddfma3005 fma 1 '-5' '-3' -> -8 582 ddfma3006 fma 1 '-7' '2.5' -> -4.5 583 ddfma3007 fma 1 '0.7' '0.3' -> 1.0 584 ddfma3008 fma 1 '1.25' '1.25' -> 2.50 585 ddfma3009 fma 1 '1.23456789' '1.00000000' -> '2.23456789' 586 ddfma3010 fma 1 '1.23456789' '1.00000011' -> '2.23456800' 587 588 -- 1234567890123456 1234567890123456 589 ddfma3011 fma 1 '0.4444444444444446' '0.5555555555555555' -> '1.000000000000000' Inexact Rounded 590 ddfma3012 fma 1 '0.4444444444444445' '0.5555555555555555' -> '1.000000000000000' Rounded 591 ddfma3013 fma 1 '0.4444444444444444' '0.5555555555555555' -> '0.9999999999999999' 592 ddfma3014 fma 1 '4444444444444444' '0.49' -> '4444444444444444' Inexact Rounded 593 ddfma3015 fma 1 '4444444444444444' '0.499' -> '4444444444444444' Inexact Rounded 594 ddfma3016 fma 1 '4444444444444444' '0.4999' -> '4444444444444444' Inexact Rounded 595 ddfma3017 fma 1 '4444444444444444' '0.5000' -> '4444444444444444' Inexact Rounded 596 ddfma3018 fma 1 '4444444444444444' '0.5001' -> '4444444444444445' Inexact Rounded 597 ddfma3019 fma 1 '4444444444444444' '0.501' -> '4444444444444445' Inexact Rounded 598 ddfma3020 fma 1 '4444444444444444' '0.51' -> '4444444444444445' Inexact Rounded 599 600 ddfma3021 fma 1 0 1 -> 1 601 ddfma3022 fma 1 1 1 -> 2 602 ddfma3023 fma 1 2 1 -> 3 603 ddfma3024 fma 1 3 1 -> 4 604 ddfma3025 fma 1 4 1 -> 5 605 ddfma3026 fma 1 5 1 -> 6 606 ddfma3027 fma 1 6 1 -> 7 607 ddfma3028 fma 1 7 1 -> 8 608 ddfma3029 fma 1 8 1 -> 9 609 ddfma3030 fma 1 9 1 -> 10 610 611 -- some carrying effects 612 ddfma3031 fma 1 '0.9998' '0.0000' -> '0.9998' 613 ddfma3032 fma 1 '0.9998' '0.0001' -> '0.9999' 614 ddfma3033 fma 1 '0.9998' '0.0002' -> '1.0000' 615 ddfma3034 fma 1 '0.9998' '0.0003' -> '1.0001' 616 617 ddfma3035 fma 1 '70' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded 618 ddfma3036 fma 1 '700' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded 619 ddfma3037 fma 1 '7000' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded 620 ddfma3038 fma 1 '70000' '10000e+16' -> '1.000000000000001E+20' Inexact Rounded 621 ddfma3039 fma 1 '700000' '10000e+16' -> '1.000000000000007E+20' Rounded 622 623 -- symmetry: 624 ddfma3040 fma 1 '10000e+16' '70' -> '1.000000000000000E+20' Inexact Rounded 625 ddfma3041 fma 1 '10000e+16' '700' -> '1.000000000000000E+20' Inexact Rounded 626 ddfma3042 fma 1 '10000e+16' '7000' -> '1.000000000000000E+20' Inexact Rounded 627 ddfma3044 fma 1 '10000e+16' '70000' -> '1.000000000000001E+20' Inexact Rounded 628 ddfma3045 fma 1 '10000e+16' '700000' -> '1.000000000000007E+20' Rounded 629 630 -- same, without rounding 631 ddfma3046 fma 1 '10000e+9' '7' -> '10000000000007' 632 ddfma3047 fma 1 '10000e+9' '70' -> '10000000000070' 633 ddfma3048 fma 1 '10000e+9' '700' -> '10000000000700' 634 ddfma3049 fma 1 '10000e+9' '7000' -> '10000000007000' 635 ddfma3050 fma 1 '10000e+9' '70000' -> '10000000070000' 636 ddfma3051 fma 1 '10000e+9' '700000' -> '10000000700000' 637 ddfma3052 fma 1 '10000e+9' '7000000' -> '10000007000000' 638 639 -- examples from decarith 640 ddfma3053 fma 1 '12' '7.00' -> '19.00' 641 ddfma3054 fma 1 '1.3' '-1.07' -> '0.23' 642 ddfma3055 fma 1 '1.3' '-1.30' -> '0.00' 643 ddfma3056 fma 1 '1.3' '-2.07' -> '-0.77' 644 ddfma3057 fma 1 '1E+2' '1E+4' -> '1.01E+4' 645 646 -- leading zero preservation 647 ddfma3061 fma 1 1 '0.0001' -> '1.0001' 648 ddfma3062 fma 1 1 '0.00001' -> '1.00001' 649 ddfma3063 fma 1 1 '0.000001' -> '1.000001' 650 ddfma3064 fma 1 1 '0.0000001' -> '1.0000001' 651 ddfma3065 fma 1 1 '0.00000001' -> '1.00000001' 652 653 -- some funny zeros [in case of bad signum] 654 ddfma3070 fma 1 1 0 -> 1 655 ddfma3071 fma 1 1 0. -> 1 656 ddfma3072 fma 1 1 .0 -> 1.0 657 ddfma3073 fma 1 1 0.0 -> 1.0 658 ddfma3074 fma 1 1 0.00 -> 1.00 659 ddfma3075 fma 1 0 1 -> 1 660 ddfma3076 fma 1 0. 1 -> 1 661 ddfma3077 fma 1 .0 1 -> 1.0 662 ddfma3078 fma 1 0.0 1 -> 1.0 663 ddfma3079 fma 1 0.00 1 -> 1.00 664 665 -- some carries 666 ddfma3080 fma 1 999999998 1 -> 999999999 667 ddfma3081 fma 1 999999999 1 -> 1000000000 668 ddfma3082 fma 1 99999999 1 -> 100000000 669 ddfma3083 fma 1 9999999 1 -> 10000000 670 ddfma3084 fma 1 999999 1 -> 1000000 671 ddfma3085 fma 1 99999 1 -> 100000 672 ddfma3086 fma 1 9999 1 -> 10000 673 ddfma3087 fma 1 999 1 -> 1000 674 ddfma3088 fma 1 99 1 -> 100 675 ddfma3089 fma 1 9 1 -> 10 676 677 678 -- more LHS swaps 679 ddfma3090 fma 1 '-56267E-10' 0 -> '-0.0000056267' 680 ddfma3091 fma 1 '-56267E-6' 0 -> '-0.056267' 681 ddfma3092 fma 1 '-56267E-5' 0 -> '-0.56267' 682 ddfma3093 fma 1 '-56267E-4' 0 -> '-5.6267' 683 ddfma3094 fma 1 '-56267E-3' 0 -> '-56.267' 684 ddfma3095 fma 1 '-56267E-2' 0 -> '-562.67' 685 ddfma3096 fma 1 '-56267E-1' 0 -> '-5626.7' 686 ddfma3097 fma 1 '-56267E-0' 0 -> '-56267' 687 ddfma3098 fma 1 '-5E-10' 0 -> '-5E-10' 688 ddfma3099 fma 1 '-5E-7' 0 -> '-5E-7' 689 ddfma3100 fma 1 '-5E-6' 0 -> '-0.000005' 690 ddfma3101 fma 1 '-5E-5' 0 -> '-0.00005' 691 ddfma3102 fma 1 '-5E-4' 0 -> '-0.0005' 692 ddfma3103 fma 1 '-5E-1' 0 -> '-0.5' 693 ddfma3104 fma 1 '-5E0' 0 -> '-5' 694 ddfma3105 fma 1 '-5E1' 0 -> '-50' 695 ddfma3106 fma 1 '-5E5' 0 -> '-500000' 696 ddfma3107 fma 1 '-5E15' 0 -> '-5000000000000000' 697 ddfma3108 fma 1 '-5E16' 0 -> '-5.000000000000000E+16' Rounded 698 ddfma3109 fma 1 '-5E17' 0 -> '-5.000000000000000E+17' Rounded 699 ddfma3110 fma 1 '-5E18' 0 -> '-5.000000000000000E+18' Rounded 700 ddfma3111 fma 1 '-5E100' 0 -> '-5.000000000000000E+100' Rounded 701 702 -- more RHS swaps 703 ddfma3113 fma 1 0 '-56267E-10' -> '-0.0000056267' 704 ddfma3114 fma 1 0 '-56267E-6' -> '-0.056267' 705 ddfma3116 fma 1 0 '-56267E-5' -> '-0.56267' 706 ddfma3117 fma 1 0 '-56267E-4' -> '-5.6267' 707 ddfma3119 fma 1 0 '-56267E-3' -> '-56.267' 708 ddfma3120 fma 1 0 '-56267E-2' -> '-562.67' 709 ddfma3121 fma 1 0 '-56267E-1' -> '-5626.7' 710 ddfma3122 fma 1 0 '-56267E-0' -> '-56267' 711 ddfma3123 fma 1 0 '-5E-10' -> '-5E-10' 712 ddfma3124 fma 1 0 '-5E-7' -> '-5E-7' 713 ddfma3125 fma 1 0 '-5E-6' -> '-0.000005' 714 ddfma3126 fma 1 0 '-5E-5' -> '-0.00005' 715 ddfma3127 fma 1 0 '-5E-4' -> '-0.0005' 716 ddfma3128 fma 1 0 '-5E-1' -> '-0.5' 717 ddfma3129 fma 1 0 '-5E0' -> '-5' 718 ddfma3130 fma 1 0 '-5E1' -> '-50' 719 ddfma3131 fma 1 0 '-5E5' -> '-500000' 720 ddfma3132 fma 1 0 '-5E15' -> '-5000000000000000' 721 ddfma3133 fma 1 0 '-5E16' -> '-5.000000000000000E+16' Rounded 722 ddfma3134 fma 1 0 '-5E17' -> '-5.000000000000000E+17' Rounded 723 ddfma3135 fma 1 0 '-5E18' -> '-5.000000000000000E+18' Rounded 724 ddfma3136 fma 1 0 '-5E100' -> '-5.000000000000000E+100' Rounded 725 726 -- related 727 ddfma3137 fma 1 1 '0E-19' -> '1.000000000000000' Rounded 728 ddfma3138 fma 1 -1 '0E-19' -> '-1.000000000000000' Rounded 729 ddfma3139 fma 1 '0E-19' 1 -> '1.000000000000000' Rounded 730 ddfma3140 fma 1 '0E-19' -1 -> '-1.000000000000000' Rounded 731 ddfma3141 fma 1 1E+11 0.0000 -> '100000000000.0000' 732 ddfma3142 fma 1 1E+11 0.00000 -> '100000000000.0000' Rounded 733 ddfma3143 fma 1 0.000 1E+12 -> '1000000000000.000' 734 ddfma3144 fma 1 0.0000 1E+12 -> '1000000000000.000' Rounded 735 736 -- [some of the next group are really constructor tests] 737 ddfma3146 fma 1 '00.0' 0 -> '0.0' 738 ddfma3147 fma 1 '0.00' 0 -> '0.00' 739 ddfma3148 fma 1 0 '0.00' -> '0.00' 740 ddfma3149 fma 1 0 '00.0' -> '0.0' 741 ddfma3150 fma 1 '00.0' '0.00' -> '0.00' 742 ddfma3151 fma 1 '0.00' '00.0' -> '0.00' 743 ddfma3152 fma 1 '3' '.3' -> '3.3' 744 ddfma3153 fma 1 '3.' '.3' -> '3.3' 745 ddfma3154 fma 1 '3.0' '.3' -> '3.3' 746 ddfma3155 fma 1 '3.00' '.3' -> '3.30' 747 ddfma3156 fma 1 '3' '3' -> '6' 748 ddfma3157 fma 1 '3' '+3' -> '6' 749 ddfma3158 fma 1 '3' '-3' -> '0' 750 ddfma3159 fma 1 '0.3' '-0.3' -> '0.0' 751 ddfma3160 fma 1 '0.03' '-0.03' -> '0.00' 752 753 -- try borderline precision, with carries, etc. 754 ddfma3161 fma 1 '1E+12' '-1' -> '999999999999' 755 ddfma3162 fma 1 '1E+12' '1.11' -> '1000000000001.11' 756 ddfma3163 fma 1 '1.11' '1E+12' -> '1000000000001.11' 757 ddfma3164 fma 1 '-1' '1E+12' -> '999999999999' 758 ddfma3165 fma 1 '7E+12' '-1' -> '6999999999999' 759 ddfma3166 fma 1 '7E+12' '1.11' -> '7000000000001.11' 760 ddfma3167 fma 1 '1.11' '7E+12' -> '7000000000001.11' 761 ddfma3168 fma 1 '-1' '7E+12' -> '6999999999999' 762 763 rounding: half_up 764 -- 1.234567890123456 1234567890123456 1 234567890123456 765 ddfma3170 fma 1 '4.444444444444444' '0.5555555555555567' -> '5.000000000000001' Inexact Rounded 766 ddfma3171 fma 1 '4.444444444444444' '0.5555555555555566' -> '5.000000000000001' Inexact Rounded 767 ddfma3172 fma 1 '4.444444444444444' '0.5555555555555565' -> '5.000000000000001' Inexact Rounded 768 ddfma3173 fma 1 '4.444444444444444' '0.5555555555555564' -> '5.000000000000000' Inexact Rounded 769 ddfma3174 fma 1 '4.444444444444444' '0.5555555555555553' -> '4.999999999999999' Inexact Rounded 770 ddfma3175 fma 1 '4.444444444444444' '0.5555555555555552' -> '4.999999999999999' Inexact Rounded 771 ddfma3176 fma 1 '4.444444444444444' '0.5555555555555551' -> '4.999999999999999' Inexact Rounded 772 ddfma3177 fma 1 '4.444444444444444' '0.5555555555555550' -> '4.999999999999999' Rounded 773 ddfma3178 fma 1 '4.444444444444444' '0.5555555555555545' -> '4.999999999999999' Inexact Rounded 774 ddfma3179 fma 1 '4.444444444444444' '0.5555555555555544' -> '4.999999999999998' Inexact Rounded 775 ddfma3180 fma 1 '4.444444444444444' '0.5555555555555543' -> '4.999999999999998' Inexact Rounded 776 ddfma3181 fma 1 '4.444444444444444' '0.5555555555555542' -> '4.999999999999998' Inexact Rounded 777 ddfma3182 fma 1 '4.444444444444444' '0.5555555555555541' -> '4.999999999999998' Inexact Rounded 778 ddfma3183 fma 1 '4.444444444444444' '0.5555555555555540' -> '4.999999999999998' Rounded 779 780 -- and some more, including residue effects and different roundings 781 rounding: half_up 782 ddfma3200 fma 1 '1234560123456789' 0 -> '1234560123456789' 783 ddfma3201 fma 1 '1234560123456789' 0.000000001 -> '1234560123456789' Inexact Rounded 784 ddfma3202 fma 1 '1234560123456789' 0.000001 -> '1234560123456789' Inexact Rounded 785 ddfma3203 fma 1 '1234560123456789' 0.1 -> '1234560123456789' Inexact Rounded 786 ddfma3204 fma 1 '1234560123456789' 0.4 -> '1234560123456789' Inexact Rounded 787 ddfma3205 fma 1 '1234560123456789' 0.49 -> '1234560123456789' Inexact Rounded 788 ddfma3206 fma 1 '1234560123456789' 0.499999 -> '1234560123456789' Inexact Rounded 789 ddfma3207 fma 1 '1234560123456789' 0.499999999 -> '1234560123456789' Inexact Rounded 790 ddfma3208 fma 1 '1234560123456789' 0.5 -> '1234560123456790' Inexact Rounded 791 ddfma3209 fma 1 '1234560123456789' 0.500000001 -> '1234560123456790' Inexact Rounded 792 ddfma3210 fma 1 '1234560123456789' 0.500001 -> '1234560123456790' Inexact Rounded 793 ddfma3211 fma 1 '1234560123456789' 0.51 -> '1234560123456790' Inexact Rounded 794 ddfma3212 fma 1 '1234560123456789' 0.6 -> '1234560123456790' Inexact Rounded 795 ddfma3213 fma 1 '1234560123456789' 0.9 -> '1234560123456790' Inexact Rounded 796 ddfma3214 fma 1 '1234560123456789' 0.99999 -> '1234560123456790' Inexact Rounded 797 ddfma3215 fma 1 '1234560123456789' 0.999999999 -> '1234560123456790' Inexact Rounded 798 ddfma3216 fma 1 '1234560123456789' 1 -> '1234560123456790' 799 ddfma3217 fma 1 '1234560123456789' 1.000000001 -> '1234560123456790' Inexact Rounded 800 ddfma3218 fma 1 '1234560123456789' 1.00001 -> '1234560123456790' Inexact Rounded 801 ddfma3219 fma 1 '1234560123456789' 1.1 -> '1234560123456790' Inexact Rounded 802 803 rounding: half_even 804 ddfma3220 fma 1 '1234560123456789' 0 -> '1234560123456789' 805 ddfma3221 fma 1 '1234560123456789' 0.000000001 -> '1234560123456789' Inexact Rounded 806 ddfma3222 fma 1 '1234560123456789' 0.000001 -> '1234560123456789' Inexact Rounded 807 ddfma3223 fma 1 '1234560123456789' 0.1 -> '1234560123456789' Inexact Rounded 808 ddfma3224 fma 1 '1234560123456789' 0.4 -> '1234560123456789' Inexact Rounded 809 ddfma3225 fma 1 '1234560123456789' 0.49 -> '1234560123456789' Inexact Rounded 810 ddfma3226 fma 1 '1234560123456789' 0.499999 -> '1234560123456789' Inexact Rounded 811 ddfma3227 fma 1 '1234560123456789' 0.499999999 -> '1234560123456789' Inexact Rounded 812 ddfma3228 fma 1 '1234560123456789' 0.5 -> '1234560123456790' Inexact Rounded 813 ddfma3229 fma 1 '1234560123456789' 0.500000001 -> '1234560123456790' Inexact Rounded 814 ddfma3230 fma 1 '1234560123456789' 0.500001 -> '1234560123456790' Inexact Rounded 815 ddfma3231 fma 1 '1234560123456789' 0.51 -> '1234560123456790' Inexact Rounded 816 ddfma3232 fma 1 '1234560123456789' 0.6 -> '1234560123456790' Inexact Rounded 817 ddfma3233 fma 1 '1234560123456789' 0.9 -> '1234560123456790' Inexact Rounded 818 ddfma3234 fma 1 '1234560123456789' 0.99999 -> '1234560123456790' Inexact Rounded 819 ddfma3235 fma 1 '1234560123456789' 0.999999999 -> '1234560123456790' Inexact Rounded 820 ddfma3236 fma 1 '1234560123456789' 1 -> '1234560123456790' 821 ddfma3237 fma 1 '1234560123456789' 1.00000001 -> '1234560123456790' Inexact Rounded 822 ddfma3238 fma 1 '1234560123456789' 1.00001 -> '1234560123456790' Inexact Rounded 823 ddfma3239 fma 1 '1234560123456789' 1.1 -> '1234560123456790' Inexact Rounded 824 -- critical few with even bottom digit... 825 ddfma3240 fma 1 '1234560123456788' 0.499999999 -> '1234560123456788' Inexact Rounded 826 ddfma3241 fma 1 '1234560123456788' 0.5 -> '1234560123456788' Inexact Rounded 827 ddfma3242 fma 1 '1234560123456788' 0.500000001 -> '1234560123456789' Inexact Rounded 828 829 rounding: down 830 ddfma3250 fma 1 '1234560123456789' 0 -> '1234560123456789' 831 ddfma3251 fma 1 '1234560123456789' 0.000000001 -> '1234560123456789' Inexact Rounded 832 ddfma3252 fma 1 '1234560123456789' 0.000001 -> '1234560123456789' Inexact Rounded 833 ddfma3253 fma 1 '1234560123456789' 0.1 -> '1234560123456789' Inexact Rounded 834 ddfma3254 fma 1 '1234560123456789' 0.4 -> '1234560123456789' Inexact Rounded 835 ddfma3255 fma 1 '1234560123456789' 0.49 -> '1234560123456789' Inexact Rounded 836 ddfma3256 fma 1 '1234560123456789' 0.499999 -> '1234560123456789' Inexact Rounded 837 ddfma3257 fma 1 '1234560123456789' 0.499999999 -> '1234560123456789' Inexact Rounded 838 ddfma3258 fma 1 '1234560123456789' 0.5 -> '1234560123456789' Inexact Rounded 839 ddfma3259 fma 1 '1234560123456789' 0.500000001 -> '1234560123456789' Inexact Rounded 840 ddfma3260 fma 1 '1234560123456789' 0.500001 -> '1234560123456789' Inexact Rounded 841 ddfma3261 fma 1 '1234560123456789' 0.51 -> '1234560123456789' Inexact Rounded 842 ddfma3262 fma 1 '1234560123456789' 0.6 -> '1234560123456789' Inexact Rounded 843 ddfma3263 fma 1 '1234560123456789' 0.9 -> '1234560123456789' Inexact Rounded 844 ddfma3264 fma 1 '1234560123456789' 0.99999 -> '1234560123456789' Inexact Rounded 845 ddfma3265 fma 1 '1234560123456789' 0.999999999 -> '1234560123456789' Inexact Rounded 846 ddfma3266 fma 1 '1234560123456789' 1 -> '1234560123456790' 847 ddfma3267 fma 1 '1234560123456789' 1.00000001 -> '1234560123456790' Inexact Rounded 848 ddfma3268 fma 1 '1234560123456789' 1.00001 -> '1234560123456790' Inexact Rounded 849 ddfma3269 fma 1 '1234560123456789' 1.1 -> '1234560123456790' Inexact Rounded 850 851 -- 1 in last place tests 852 rounding: half_up 853 ddfma3301 fma 1 -1 1 -> 0 854 ddfma3302 fma 1 0 1 -> 1 855 ddfma3303 fma 1 1 1 -> 2 856 ddfma3304 fma 1 12 1 -> 13 857 ddfma3305 fma 1 98 1 -> 99 858 ddfma3306 fma 1 99 1 -> 100 859 ddfma3307 fma 1 100 1 -> 101 860 ddfma3308 fma 1 101 1 -> 102 861 ddfma3309 fma 1 -1 -1 -> -2 862 ddfma3310 fma 1 0 -1 -> -1 863 ddfma3311 fma 1 1 -1 -> 0 864 ddfma3312 fma 1 12 -1 -> 11 865 ddfma3313 fma 1 98 -1 -> 97 866 ddfma3314 fma 1 99 -1 -> 98 867 ddfma3315 fma 1 100 -1 -> 99 868 ddfma3316 fma 1 101 -1 -> 100 869 870 ddfma3321 fma 1 -0.01 0.01 -> 0.00 871 ddfma3322 fma 1 0.00 0.01 -> 0.01 872 ddfma3323 fma 1 0.01 0.01 -> 0.02 873 ddfma3324 fma 1 0.12 0.01 -> 0.13 874 ddfma3325 fma 1 0.98 0.01 -> 0.99 875 ddfma3326 fma 1 0.99 0.01 -> 1.00 876 ddfma3327 fma 1 1.00 0.01 -> 1.01 877 ddfma3328 fma 1 1.01 0.01 -> 1.02 878 ddfma3329 fma 1 -0.01 -0.01 -> -0.02 879 ddfma3330 fma 1 0.00 -0.01 -> -0.01 880 ddfma3331 fma 1 0.01 -0.01 -> 0.00 881 ddfma3332 fma 1 0.12 -0.01 -> 0.11 882 ddfma3333 fma 1 0.98 -0.01 -> 0.97 883 ddfma3334 fma 1 0.99 -0.01 -> 0.98 884 ddfma3335 fma 1 1.00 -0.01 -> 0.99 885 ddfma3336 fma 1 1.01 -0.01 -> 1.00 886 887 -- some more cases where adding 0 affects the coefficient 888 ddfma3340 fma 1 1E+3 0 -> 1000 889 ddfma3341 fma 1 1E+15 0 -> 1000000000000000 890 ddfma3342 fma 1 1E+16 0 -> 1.000000000000000E+16 Rounded 891 ddfma3343 fma 1 1E+20 0 -> 1.000000000000000E+20 Rounded 892 -- which simply follow from these cases ... 893 ddfma3344 fma 1 1E+3 1 -> 1001 894 ddfma3345 fma 1 1E+15 1 -> 1000000000000001 895 ddfma3346 fma 1 1E+16 1 -> 1.000000000000000E+16 Inexact Rounded 896 ddfma3347 fma 1 1E+20 1 -> 1.000000000000000E+20 Inexact Rounded 897 ddfma3348 fma 1 1E+3 7 -> 1007 898 ddfma3349 fma 1 1E+15 7 -> 1000000000000007 899 ddfma3350 fma 1 1E+16 7 -> 1.000000000000001E+16 Inexact Rounded 900 ddfma3351 fma 1 1E+20 7 -> 1.000000000000000E+20 Inexact Rounded 901 902 -- tryzeros cases 903 rounding: half_up 904 ddfma3360 fma 1 0E+50 10000E+1 -> 1.0000E+5 905 ddfma3361 fma 1 0E-50 10000E+1 -> 100000.0000000000 Rounded 906 ddfma3362 fma 1 10000E+1 0E-50 -> 100000.0000000000 Rounded 907 ddfma3363 fma 1 10000E+1 10000E-50 -> 100000.0000000000 Rounded Inexact 908 ddfma3364 fma 1 9.999999999999999E+384 -9.999999999999999E+384 -> 0E+369 909 910 -- a curiosity from JSR 13 testing 911 rounding: half_down 912 ddfma3370 fma 1 999999999999999 815 -> 1000000000000814 913 ddfma3371 fma 1 9999999999999999 815 -> 1.000000000000081E+16 Rounded Inexact 914 rounding: half_up 915 ddfma3372 fma 1 999999999999999 815 -> 1000000000000814 916 ddfma3373 fma 1 9999999999999999 815 -> 1.000000000000081E+16 Rounded Inexact 917 rounding: half_even 918 ddfma3374 fma 1 999999999999999 815 -> 1000000000000814 919 ddfma3375 fma 1 9999999999999999 815 -> 1.000000000000081E+16 Rounded Inexact 920 921 -- ulp replacement tests 922 ddfma3400 fma 1 1 77e-14 -> 1.00000000000077 923 ddfma3401 fma 1 1 77e-15 -> 1.000000000000077 924 ddfma3402 fma 1 1 77e-16 -> 1.000000000000008 Inexact Rounded 925 ddfma3403 fma 1 1 77e-17 -> 1.000000000000001 Inexact Rounded 926 ddfma3404 fma 1 1 77e-18 -> 1.000000000000000 Inexact Rounded 927 ddfma3405 fma 1 1 77e-19 -> 1.000000000000000 Inexact Rounded 928 ddfma3406 fma 1 1 77e-299 -> 1.000000000000000 Inexact Rounded 929 930 ddfma3410 fma 1 10 77e-14 -> 10.00000000000077 931 ddfma3411 fma 1 10 77e-15 -> 10.00000000000008 Inexact Rounded 932 ddfma3412 fma 1 10 77e-16 -> 10.00000000000001 Inexact Rounded 933 ddfma3413 fma 1 10 77e-17 -> 10.00000000000000 Inexact Rounded 934 ddfma3414 fma 1 10 77e-18 -> 10.00000000000000 Inexact Rounded 935 ddfma3415 fma 1 10 77e-19 -> 10.00000000000000 Inexact Rounded 936 ddfma3416 fma 1 10 77e-299 -> 10.00000000000000 Inexact Rounded 937 938 ddfma3420 fma 1 77e-14 1 -> 1.00000000000077 939 ddfma3421 fma 1 77e-15 1 -> 1.000000000000077 940 ddfma3422 fma 1 77e-16 1 -> 1.000000000000008 Inexact Rounded 941 ddfma3423 fma 1 77e-17 1 -> 1.000000000000001 Inexact Rounded 942 ddfma3424 fma 1 77e-18 1 -> 1.000000000000000 Inexact Rounded 943 ddfma3425 fma 1 77e-19 1 -> 1.000000000000000 Inexact Rounded 944 ddfma3426 fma 1 77e-299 1 -> 1.000000000000000 Inexact Rounded 945 946 ddfma3430 fma 1 77e-14 10 -> 10.00000000000077 947 ddfma3431 fma 1 77e-15 10 -> 10.00000000000008 Inexact Rounded 948 ddfma3432 fma 1 77e-16 10 -> 10.00000000000001 Inexact Rounded 949 ddfma3433 fma 1 77e-17 10 -> 10.00000000000000 Inexact Rounded 950 ddfma3434 fma 1 77e-18 10 -> 10.00000000000000 Inexact Rounded 951 ddfma3435 fma 1 77e-19 10 -> 10.00000000000000 Inexact Rounded 952 ddfma3436 fma 1 77e-299 10 -> 10.00000000000000 Inexact Rounded 953 954 -- negative ulps 955 ddfma36440 fma 1 1 -77e-14 -> 0.99999999999923 956 ddfma36441 fma 1 1 -77e-15 -> 0.999999999999923 957 ddfma36442 fma 1 1 -77e-16 -> 0.9999999999999923 958 ddfma36443 fma 1 1 -77e-17 -> 0.9999999999999992 Inexact Rounded 959 ddfma36444 fma 1 1 -77e-18 -> 0.9999999999999999 Inexact Rounded 960 ddfma36445 fma 1 1 -77e-19 -> 1.000000000000000 Inexact Rounded 961 ddfma36446 fma 1 1 -77e-99 -> 1.000000000000000 Inexact Rounded 962 963 ddfma36450 fma 1 10 -77e-14 -> 9.99999999999923 964 ddfma36451 fma 1 10 -77e-15 -> 9.999999999999923 965 ddfma36452 fma 1 10 -77e-16 -> 9.999999999999992 Inexact Rounded 966 ddfma36453 fma 1 10 -77e-17 -> 9.999999999999999 Inexact Rounded 967 ddfma36454 fma 1 10 -77e-18 -> 10.00000000000000 Inexact Rounded 968 ddfma36455 fma 1 10 -77e-19 -> 10.00000000000000 Inexact Rounded 969 ddfma36456 fma 1 10 -77e-99 -> 10.00000000000000 Inexact Rounded 970 971 ddfma36460 fma 1 -77e-14 1 -> 0.99999999999923 972 ddfma36461 fma 1 -77e-15 1 -> 0.999999999999923 973 ddfma36462 fma 1 -77e-16 1 -> 0.9999999999999923 974 ddfma36463 fma 1 -77e-17 1 -> 0.9999999999999992 Inexact Rounded 975 ddfma36464 fma 1 -77e-18 1 -> 0.9999999999999999 Inexact Rounded 976 ddfma36465 fma 1 -77e-19 1 -> 1.000000000000000 Inexact Rounded 977 ddfma36466 fma 1 -77e-99 1 -> 1.000000000000000 Inexact Rounded 978 979 ddfma36470 fma 1 -77e-14 10 -> 9.99999999999923 980 ddfma36471 fma 1 -77e-15 10 -> 9.999999999999923 981 ddfma36472 fma 1 -77e-16 10 -> 9.999999999999992 Inexact Rounded 982 ddfma36473 fma 1 -77e-17 10 -> 9.999999999999999 Inexact Rounded 983 ddfma36474 fma 1 -77e-18 10 -> 10.00000000000000 Inexact Rounded 984 ddfma36475 fma 1 -77e-19 10 -> 10.00000000000000 Inexact Rounded 985 ddfma36476 fma 1 -77e-99 10 -> 10.00000000000000 Inexact Rounded 986 987 -- negative ulps 988 ddfma36480 fma 1 -1 77e-14 -> -0.99999999999923 989 ddfma36481 fma 1 -1 77e-15 -> -0.999999999999923 990 ddfma36482 fma 1 -1 77e-16 -> -0.9999999999999923 991 ddfma36483 fma 1 -1 77e-17 -> -0.9999999999999992 Inexact Rounded 992 ddfma36484 fma 1 -1 77e-18 -> -0.9999999999999999 Inexact Rounded 993 ddfma36485 fma 1 -1 77e-19 -> -1.000000000000000 Inexact Rounded 994 ddfma36486 fma 1 -1 77e-99 -> -1.000000000000000 Inexact Rounded 995 996 ddfma36490 fma 1 -10 77e-14 -> -9.99999999999923 997 ddfma36491 fma 1 -10 77e-15 -> -9.999999999999923 998 ddfma36492 fma 1 -10 77e-16 -> -9.999999999999992 Inexact Rounded 999 ddfma36493 fma 1 -10 77e-17 -> -9.999999999999999 Inexact Rounded 1000 ddfma36494 fma 1 -10 77e-18 -> -10.00000000000000 Inexact Rounded 1001 ddfma36495 fma 1 -10 77e-19 -> -10.00000000000000 Inexact Rounded 1002 ddfma36496 fma 1 -10 77e-99 -> -10.00000000000000 Inexact Rounded 1003 1004 ddfma36500 fma 1 77e-14 -1 -> -0.99999999999923 1005 ddfma36501 fma 1 77e-15 -1 -> -0.999999999999923 1006 ddfma36502 fma 1 77e-16 -1 -> -0.9999999999999923 1007 ddfma36503 fma 1 77e-17 -1 -> -0.9999999999999992 Inexact Rounded 1008 ddfma36504 fma 1 77e-18 -1 -> -0.9999999999999999 Inexact Rounded 1009 ddfma36505 fma 1 77e-19 -1 -> -1.000000000000000 Inexact Rounded 1010 ddfma36506 fma 1 77e-99 -1 -> -1.000000000000000 Inexact Rounded 1011 1012 ddfma36510 fma 1 77e-14 -10 -> -9.99999999999923 1013 ddfma36511 fma 1 77e-15 -10 -> -9.999999999999923 1014 ddfma36512 fma 1 77e-16 -10 -> -9.999999999999992 Inexact Rounded 1015 ddfma36513 fma 1 77e-17 -10 -> -9.999999999999999 Inexact Rounded 1016 ddfma36514 fma 1 77e-18 -10 -> -10.00000000000000 Inexact Rounded 1017 ddfma36515 fma 1 77e-19 -10 -> -10.00000000000000 Inexact Rounded 1018 ddfma36516 fma 1 77e-99 -10 -> -10.00000000000000 Inexact Rounded 1019 1020 -- and a couple more with longer RHS 1021 ddfma36520 fma 1 1 -7777e-16 -> 0.9999999999992223 1022 ddfma36521 fma 1 1 -7777e-17 -> 0.9999999999999222 Inexact Rounded 1023 ddfma36522 fma 1 1 -7777e-18 -> 0.9999999999999922 Inexact Rounded 1024 ddfma36523 fma 1 1 -7777e-19 -> 0.9999999999999992 Inexact Rounded 1025 ddfma36524 fma 1 1 -7777e-20 -> 0.9999999999999999 Inexact Rounded 1026 ddfma36525 fma 1 1 -7777e-21 -> 1.000000000000000 Inexact Rounded 1027 ddfma36526 fma 1 1 -7777e-22 -> 1.000000000000000 Inexact Rounded 1028 1029 1030 -- and some more residue effects and different roundings 1031 rounding: half_up 1032 ddfma36540 fma 1 '6543210123456789' 0 -> '6543210123456789' 1033 ddfma36541 fma 1 '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded 1034 ddfma36542 fma 1 '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded 1035 ddfma36543 fma 1 '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded 1036 ddfma36544 fma 1 '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded 1037 ddfma36545 fma 1 '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded 1038 ddfma36546 fma 1 '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded 1039 ddfma36547 fma 1 '6543210123456789' 0.499999999 -> '6543210123456789' Inexact Rounded 1040 ddfma36548 fma 1 '6543210123456789' 0.5 -> '6543210123456790' Inexact Rounded 1041 ddfma36549 fma 1 '6543210123456789' 0.500000001 -> '6543210123456790' Inexact Rounded 1042 ddfma36550 fma 1 '6543210123456789' 0.500001 -> '6543210123456790' Inexact Rounded 1043 ddfma36551 fma 1 '6543210123456789' 0.51 -> '6543210123456790' Inexact Rounded 1044 ddfma36552 fma 1 '6543210123456789' 0.6 -> '6543210123456790' Inexact Rounded 1045 ddfma36553 fma 1 '6543210123456789' 0.9 -> '6543210123456790' Inexact Rounded 1046 ddfma36554 fma 1 '6543210123456789' 0.99999 -> '6543210123456790' Inexact Rounded 1047 ddfma36555 fma 1 '6543210123456789' 0.999999999 -> '6543210123456790' Inexact Rounded 1048 ddfma36556 fma 1 '6543210123456789' 1 -> '6543210123456790' 1049 ddfma36557 fma 1 '6543210123456789' 1.000000001 -> '6543210123456790' Inexact Rounded 1050 ddfma36558 fma 1 '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded 1051 ddfma36559 fma 1 '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded 1052 1053 rounding: half_even 1054 ddfma36560 fma 1 '6543210123456789' 0 -> '6543210123456789' 1055 ddfma36561 fma 1 '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded 1056 ddfma36562 fma 1 '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded 1057 ddfma36563 fma 1 '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded 1058 ddfma36564 fma 1 '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded 1059 ddfma36565 fma 1 '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded 1060 ddfma36566 fma 1 '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded 1061 ddfma36567 fma 1 '6543210123456789' 0.499999999 -> '6543210123456789' Inexact Rounded 1062 ddfma36568 fma 1 '6543210123456789' 0.5 -> '6543210123456790' Inexact Rounded 1063 ddfma36569 fma 1 '6543210123456789' 0.500000001 -> '6543210123456790' Inexact Rounded 1064 ddfma36570 fma 1 '6543210123456789' 0.500001 -> '6543210123456790' Inexact Rounded 1065 ddfma36571 fma 1 '6543210123456789' 0.51 -> '6543210123456790' Inexact Rounded 1066 ddfma36572 fma 1 '6543210123456789' 0.6 -> '6543210123456790' Inexact Rounded 1067 ddfma36573 fma 1 '6543210123456789' 0.9 -> '6543210123456790' Inexact Rounded 1068 ddfma36574 fma 1 '6543210123456789' 0.99999 -> '6543210123456790' Inexact Rounded 1069 ddfma36575 fma 1 '6543210123456789' 0.999999999 -> '6543210123456790' Inexact Rounded 1070 ddfma36576 fma 1 '6543210123456789' 1 -> '6543210123456790' 1071 ddfma36577 fma 1 '6543210123456789' 1.00000001 -> '6543210123456790' Inexact Rounded 1072 ddfma36578 fma 1 '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded 1073 ddfma36579 fma 1 '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded 1074 1075 -- critical few with even bottom digit... 1076 ddfma37540 fma 1 '6543210123456788' 0.499999999 -> '6543210123456788' Inexact Rounded 1077 ddfma37541 fma 1 '6543210123456788' 0.5 -> '6543210123456788' Inexact Rounded 1078 ddfma37542 fma 1 '6543210123456788' 0.500000001 -> '6543210123456789' Inexact Rounded 1079 1080 rounding: down 1081 ddfma37550 fma 1 '6543210123456789' 0 -> '6543210123456789' 1082 ddfma37551 fma 1 '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded 1083 ddfma37552 fma 1 '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded 1084 ddfma37553 fma 1 '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded 1085 ddfma37554 fma 1 '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded 1086 ddfma37555 fma 1 '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded 1087 ddfma37556 fma 1 '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded 1088 ddfma37557 fma 1 '6543210123456789' 0.499999999 -> '6543210123456789' Inexact Rounded 1089 ddfma37558 fma 1 '6543210123456789' 0.5 -> '6543210123456789' Inexact Rounded 1090 ddfma37559 fma 1 '6543210123456789' 0.500000001 -> '6543210123456789' Inexact Rounded 1091 ddfma37560 fma 1 '6543210123456789' 0.500001 -> '6543210123456789' Inexact Rounded 1092 ddfma37561 fma 1 '6543210123456789' 0.51 -> '6543210123456789' Inexact Rounded 1093 ddfma37562 fma 1 '6543210123456789' 0.6 -> '6543210123456789' Inexact Rounded 1094 ddfma37563 fma 1 '6543210123456789' 0.9 -> '6543210123456789' Inexact Rounded 1095 ddfma37564 fma 1 '6543210123456789' 0.99999 -> '6543210123456789' Inexact Rounded 1096 ddfma37565 fma 1 '6543210123456789' 0.999999999 -> '6543210123456789' Inexact Rounded 1097 ddfma37566 fma 1 '6543210123456789' 1 -> '6543210123456790' 1098 ddfma37567 fma 1 '6543210123456789' 1.00000001 -> '6543210123456790' Inexact Rounded 1099 ddfma37568 fma 1 '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded 1100 ddfma37569 fma 1 '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded 1101 1102 1103 -- verify a query 1104 rounding: down 1105 ddfma37661 fma 1 1e-398 9.000000000000000E+384 -> 9.000000000000000E+384 Inexact Rounded 1106 ddfma37662 fma 1 0 9.000000000000000E+384 -> 9.000000000000000E+384 Rounded 1107 ddfma37663 fma 1 1e-388 9.000000000000000E+374 -> 9.000000000000000E+374 Inexact Rounded 1108 ddfma37664 fma 1 0 9.000000000000000E+374 -> 9.000000000000000E+374 Rounded 1109 1110 -- more zeros, etc. 1111 rounding: half_even 1112 1113 ddfma37701 fma 1 5.00 1.00E-3 -> 5.00100 1114 ddfma37702 fma 1 00.00 0.000 -> 0.000 1115 ddfma37703 fma 1 00.00 0E-3 -> 0.000 1116 ddfma37704 fma 1 0E-3 00.00 -> 0.000 1117 1118 ddfma37710 fma 1 0E+3 00.00 -> 0.00 1119 ddfma37711 fma 1 0E+3 00.0 -> 0.0 1120 ddfma37712 fma 1 0E+3 00. -> 0 1121 ddfma37713 fma 1 0E+3 00.E+1 -> 0E+1 1122 ddfma37714 fma 1 0E+3 00.E+2 -> 0E+2 1123 ddfma37715 fma 1 0E+3 00.E+3 -> 0E+3 1124 ddfma37716 fma 1 0E+3 00.E+4 -> 0E+3 1125 ddfma37717 fma 1 0E+3 00.E+5 -> 0E+3 1126 ddfma37718 fma 1 0E+3 -00.0 -> 0.0 1127 ddfma37719 fma 1 0E+3 -00. -> 0 1128 ddfma37731 fma 1 0E+3 -00.E+1 -> 0E+1 1129 1130 ddfma37720 fma 1 00.00 0E+3 -> 0.00 1131 ddfma37721 fma 1 00.0 0E+3 -> 0.0 1132 ddfma37722 fma 1 00. 0E+3 -> 0 1133 ddfma37723 fma 1 00.E+1 0E+3 -> 0E+1 1134 ddfma37724 fma 1 00.E+2 0E+3 -> 0E+2 1135 ddfma37725 fma 1 00.E+3 0E+3 -> 0E+3 1136 ddfma37726 fma 1 00.E+4 0E+3 -> 0E+3 1137 ddfma37727 fma 1 00.E+5 0E+3 -> 0E+3 1138 ddfma37728 fma 1 -00.00 0E+3 -> 0.00 1139 ddfma37729 fma 1 -00.0 0E+3 -> 0.0 1140 ddfma37730 fma 1 -00. 0E+3 -> 0 1141 1142 ddfma37732 fma 1 0 0 -> 0 1143 ddfma37733 fma 1 0 -0 -> 0 1144 ddfma37734 fma 1 -0 0 -> 0 1145 ddfma37735 fma 1 -0 -0 -> -0 -- IEEE 854 special case 1146 1147 ddfma37736 fma 1 1 -1 -> 0 1148 ddfma37737 fma 1 -1 -1 -> -2 1149 ddfma37738 fma 1 1 1 -> 2 1150 ddfma37739 fma 1 -1 1 -> 0 1151 1152 ddfma37741 fma 1 0 -1 -> -1 1153 ddfma37742 fma 1 -0 -1 -> -1 1154 ddfma37743 fma 1 0 1 -> 1 1155 ddfma37744 fma 1 -0 1 -> 1 1156 ddfma37745 fma 1 -1 0 -> -1 1157 ddfma37746 fma 1 -1 -0 -> -1 1158 ddfma37747 fma 1 1 0 -> 1 1159 ddfma37748 fma 1 1 -0 -> 1 1160 1161 ddfma37751 fma 1 0.0 -1 -> -1.0 1162 ddfma37752 fma 1 -0.0 -1 -> -1.0 1163 ddfma37753 fma 1 0.0 1 -> 1.0 1164 ddfma37754 fma 1 -0.0 1 -> 1.0 1165 ddfma37755 fma 1 -1.0 0 -> -1.0 1166 ddfma37756 fma 1 -1.0 -0 -> -1.0 1167 ddfma37757 fma 1 1.0 0 -> 1.0 1168 ddfma37758 fma 1 1.0 -0 -> 1.0 1169 1170 ddfma37761 fma 1 0 -1.0 -> -1.0 1171 ddfma37762 fma 1 -0 -1.0 -> -1.0 1172 ddfma37763 fma 1 0 1.0 -> 1.0 1173 ddfma37764 fma 1 -0 1.0 -> 1.0 1174 ddfma37765 fma 1 -1 0.0 -> -1.0 1175 ddfma37766 fma 1 -1 -0.0 -> -1.0 1176 ddfma37767 fma 1 1 0.0 -> 1.0 1177 ddfma37768 fma 1 1 -0.0 -> 1.0 1178 1179 ddfma37771 fma 1 0.0 -1.0 -> -1.0 1180 ddfma37772 fma 1 -0.0 -1.0 -> -1.0 1181 ddfma37773 fma 1 0.0 1.0 -> 1.0 1182 ddfma37774 fma 1 -0.0 1.0 -> 1.0 1183 ddfma37775 fma 1 -1.0 0.0 -> -1.0 1184 ddfma37776 fma 1 -1.0 -0.0 -> -1.0 1185 ddfma37777 fma 1 1.0 0.0 -> 1.0 1186 ddfma37778 fma 1 1.0 -0.0 -> 1.0 1187 1188 -- Specials 1189 ddfma37780 fma 1 -Inf -Inf -> -Infinity 1190 ddfma37781 fma 1 -Inf -1000 -> -Infinity 1191 ddfma37782 fma 1 -Inf -1 -> -Infinity 1192 ddfma37783 fma 1 -Inf -0 -> -Infinity 1193 ddfma37784 fma 1 -Inf 0 -> -Infinity 1194 ddfma37785 fma 1 -Inf 1 -> -Infinity 1195 ddfma37786 fma 1 -Inf 1000 -> -Infinity 1196 ddfma37787 fma 1 -1000 -Inf -> -Infinity 1197 ddfma37788 fma 1 -Inf -Inf -> -Infinity 1198 ddfma37789 fma 1 -1 -Inf -> -Infinity 1199 ddfma37790 fma 1 -0 -Inf -> -Infinity 1200 ddfma37791 fma 1 0 -Inf -> -Infinity 1201 ddfma37792 fma 1 1 -Inf -> -Infinity 1202 ddfma37793 fma 1 1000 -Inf -> -Infinity 1203 ddfma37794 fma 1 Inf -Inf -> NaN Invalid_operation 1204 1205 ddfma37800 fma 1 Inf -Inf -> NaN Invalid_operation 1206 ddfma37801 fma 1 Inf -1000 -> Infinity 1207 ddfma37802 fma 1 Inf -1 -> Infinity 1208 ddfma37803 fma 1 Inf -0 -> Infinity 1209 ddfma37804 fma 1 Inf 0 -> Infinity 1210 ddfma37805 fma 1 Inf 1 -> Infinity 1211 ddfma37806 fma 1 Inf 1000 -> Infinity 1212 ddfma37807 fma 1 Inf Inf -> Infinity 1213 ddfma37808 fma 1 -1000 Inf -> Infinity 1214 ddfma37809 fma 1 -Inf Inf -> NaN Invalid_operation 1215 ddfma37810 fma 1 -1 Inf -> Infinity 1216 ddfma37811 fma 1 -0 Inf -> Infinity 1217 ddfma37812 fma 1 0 Inf -> Infinity 1218 ddfma37813 fma 1 1 Inf -> Infinity 1219 ddfma37814 fma 1 1000 Inf -> Infinity 1220 ddfma37815 fma 1 Inf Inf -> Infinity 1221 1222 ddfma37821 fma 1 NaN -Inf -> NaN 1223 ddfma37822 fma 1 NaN -1000 -> NaN 1224 ddfma37823 fma 1 NaN -1 -> NaN 1225 ddfma37824 fma 1 NaN -0 -> NaN 1226 ddfma37825 fma 1 NaN 0 -> NaN 1227 ddfma37826 fma 1 NaN 1 -> NaN 1228 ddfma37827 fma 1 NaN 1000 -> NaN 1229 ddfma37828 fma 1 NaN Inf -> NaN 1230 ddfma37829 fma 1 NaN NaN -> NaN 1231 ddfma37830 fma 1 -Inf NaN -> NaN 1232 ddfma37831 fma 1 -1000 NaN -> NaN 1233 ddfma37832 fma 1 -1 NaN -> NaN 1234 ddfma37833 fma 1 -0 NaN -> NaN 1235 ddfma37834 fma 1 0 NaN -> NaN 1236 ddfma37835 fma 1 1 NaN -> NaN 1237 ddfma37836 fma 1 1000 NaN -> NaN 1238 ddfma37837 fma 1 Inf NaN -> NaN 1239 1240 ddfma37841 fma 1 sNaN -Inf -> NaN Invalid_operation 1241 ddfma37842 fma 1 sNaN -1000 -> NaN Invalid_operation 1242 ddfma37843 fma 1 sNaN -1 -> NaN Invalid_operation 1243 ddfma37844 fma 1 sNaN -0 -> NaN Invalid_operation 1244 ddfma37845 fma 1 sNaN 0 -> NaN Invalid_operation 1245 ddfma37846 fma 1 sNaN 1 -> NaN Invalid_operation 1246 ddfma37847 fma 1 sNaN 1000 -> NaN Invalid_operation 1247 ddfma37848 fma 1 sNaN NaN -> NaN Invalid_operation 1248 ddfma37849 fma 1 sNaN sNaN -> NaN Invalid_operation 1249 ddfma37850 fma 1 NaN sNaN -> NaN Invalid_operation 1250 ddfma37851 fma 1 -Inf sNaN -> NaN Invalid_operation 1251 ddfma37852 fma 1 -1000 sNaN -> NaN Invalid_operation 1252 ddfma37853 fma 1 -1 sNaN -> NaN Invalid_operation 1253 ddfma37854 fma 1 -0 sNaN -> NaN Invalid_operation 1254 ddfma37855 fma 1 0 sNaN -> NaN Invalid_operation 1255 ddfma37856 fma 1 1 sNaN -> NaN Invalid_operation 1256 ddfma37857 fma 1 1000 sNaN -> NaN Invalid_operation 1257 ddfma37858 fma 1 Inf sNaN -> NaN Invalid_operation 1258 ddfma37859 fma 1 NaN sNaN -> NaN Invalid_operation 1259 1260 -- propagating NaNs 1261 ddfma37861 fma 1 NaN1 -Inf -> NaN1 1262 ddfma37862 fma 1 +NaN2 -1000 -> NaN2 1263 ddfma37863 fma 1 NaN3 1000 -> NaN3 1264 ddfma37864 fma 1 NaN4 Inf -> NaN4 1265 ddfma37865 fma 1 NaN5 +NaN6 -> NaN5 1266 ddfma37866 fma 1 -Inf NaN7 -> NaN7 1267 ddfma37867 fma 1 -1000 NaN8 -> NaN8 1268 ddfma37868 fma 1 1000 NaN9 -> NaN9 1269 ddfma37869 fma 1 Inf +NaN10 -> NaN10 1270 ddfma37871 fma 1 sNaN11 -Inf -> NaN11 Invalid_operation 1271 ddfma37872 fma 1 sNaN12 -1000 -> NaN12 Invalid_operation 1272 ddfma37873 fma 1 sNaN13 1000 -> NaN13 Invalid_operation 1273 ddfma37874 fma 1 sNaN14 NaN17 -> NaN14 Invalid_operation 1274 ddfma37875 fma 1 sNaN15 sNaN18 -> NaN15 Invalid_operation 1275 ddfma37876 fma 1 NaN16 sNaN19 -> NaN19 Invalid_operation 1276 ddfma37877 fma 1 -Inf +sNaN20 -> NaN20 Invalid_operation 1277 ddfma37878 fma 1 -1000 sNaN21 -> NaN21 Invalid_operation 1278 ddfma37879 fma 1 1000 sNaN22 -> NaN22 Invalid_operation 1279 ddfma37880 fma 1 Inf sNaN23 -> NaN23 Invalid_operation 1280 ddfma37881 fma 1 +NaN25 +sNaN24 -> NaN24 Invalid_operation 1281 ddfma37882 fma 1 -NaN26 NaN28 -> -NaN26 1282 ddfma37883 fma 1 -sNaN27 sNaN29 -> -NaN27 Invalid_operation 1283 ddfma37884 fma 1 1000 -NaN30 -> -NaN30 1284 ddfma37885 fma 1 1000 -sNaN31 -> -NaN31 Invalid_operation 1285 1286 -- Here we explore near the boundary of rounding a subnormal to Nmin 1287 ddfma37575 fma 1 1E-383 -1E-398 -> 9.99999999999999E-384 Subnormal 1288 ddfma37576 fma 1 -1E-383 +1E-398 -> -9.99999999999999E-384 Subnormal 1289 1290 -- check overflow edge case 1291 -- 1234567890123456 1292 ddfma37972 apply 9.999999999999999E+384 -> 9.999999999999999E+384 1293 ddfma37973 fma 1 9.999999999999999E+384 1 -> 9.999999999999999E+384 Inexact Rounded 1294 ddfma37974 fma 1 9999999999999999E+369 1 -> 9.999999999999999E+384 Inexact Rounded 1295 ddfma37975 fma 1 9999999999999999E+369 1E+369 -> Infinity Overflow Inexact Rounded 1296 ddfma37976 fma 1 9999999999999999E+369 9E+368 -> Infinity Overflow Inexact Rounded 1297 ddfma37977 fma 1 9999999999999999E+369 8E+368 -> Infinity Overflow Inexact Rounded 1298 ddfma37978 fma 1 9999999999999999E+369 7E+368 -> Infinity Overflow Inexact Rounded 1299 ddfma37979 fma 1 9999999999999999E+369 6E+368 -> Infinity Overflow Inexact Rounded 1300 ddfma37980 fma 1 9999999999999999E+369 5E+368 -> Infinity Overflow Inexact Rounded 1301 ddfma37981 fma 1 9999999999999999E+369 4E+368 -> 9.999999999999999E+384 Inexact Rounded 1302 ddfma37982 fma 1 9999999999999999E+369 3E+368 -> 9.999999999999999E+384 Inexact Rounded 1303 ddfma37983 fma 1 9999999999999999E+369 2E+368 -> 9.999999999999999E+384 Inexact Rounded 1304 ddfma37984 fma 1 9999999999999999E+369 1E+368 -> 9.999999999999999E+384 Inexact Rounded 1305 1306 ddfma37985 apply -9.999999999999999E+384 -> -9.999999999999999E+384 1307 ddfma37986 fma 1 -9.999999999999999E+384 -1 -> -9.999999999999999E+384 Inexact Rounded 1308 ddfma37987 fma 1 -9999999999999999E+369 -1 -> -9.999999999999999E+384 Inexact Rounded 1309 ddfma37988 fma 1 -9999999999999999E+369 -1E+369 -> -Infinity Overflow Inexact Rounded 1310 ddfma37989 fma 1 -9999999999999999E+369 -9E+368 -> -Infinity Overflow Inexact Rounded 1311 ddfma37990 fma 1 -9999999999999999E+369 -8E+368 -> -Infinity Overflow Inexact Rounded 1312 ddfma37991 fma 1 -9999999999999999E+369 -7E+368 -> -Infinity Overflow Inexact Rounded 1313 ddfma37992 fma 1 -9999999999999999E+369 -6E+368 -> -Infinity Overflow Inexact Rounded 1314 ddfma37993 fma 1 -9999999999999999E+369 -5E+368 -> -Infinity Overflow Inexact Rounded 1315 ddfma37994 fma 1 -9999999999999999E+369 -4E+368 -> -9.999999999999999E+384 Inexact Rounded 1316 ddfma37995 fma 1 -9999999999999999E+369 -3E+368 -> -9.999999999999999E+384 Inexact Rounded 1317 ddfma37996 fma 1 -9999999999999999E+369 -2E+368 -> -9.999999999999999E+384 Inexact Rounded 1318 ddfma37997 fma 1 -9999999999999999E+369 -1E+368 -> -9.999999999999999E+384 Inexact Rounded 1319 1320 -- And for round down full and subnormal results 1321 rounding: down 1322 ddfma371100 fma 1 1e+2 -1e-383 -> 99.99999999999999 Rounded Inexact 1323 ddfma371101 fma 1 1e+1 -1e-383 -> 9.999999999999999 Rounded Inexact 1324 ddfma371103 fma 1 +1 -1e-383 -> 0.9999999999999999 Rounded Inexact 1325 ddfma371104 fma 1 1e-1 -1e-383 -> 0.09999999999999999 Rounded Inexact 1326 ddfma371105 fma 1 1e-2 -1e-383 -> 0.009999999999999999 Rounded Inexact 1327 ddfma371106 fma 1 1e-3 -1e-383 -> 0.0009999999999999999 Rounded Inexact 1328 ddfma371107 fma 1 1e-4 -1e-383 -> 0.00009999999999999999 Rounded Inexact 1329 ddfma371108 fma 1 1e-5 -1e-383 -> 0.000009999999999999999 Rounded Inexact 1330 ddfma371109 fma 1 1e-6 -1e-383 -> 9.999999999999999E-7 Rounded Inexact 1331 1332 rounding: ceiling 1333 ddfma371110 fma 1 -1e+2 +1e-383 -> -99.99999999999999 Rounded Inexact 1334 ddfma371111 fma 1 -1e+1 +1e-383 -> -9.999999999999999 Rounded Inexact 1335 ddfma371113 fma 1 -1 +1e-383 -> -0.9999999999999999 Rounded Inexact 1336 ddfma371114 fma 1 -1e-1 +1e-383 -> -0.09999999999999999 Rounded Inexact 1337 ddfma371115 fma 1 -1e-2 +1e-383 -> -0.009999999999999999 Rounded Inexact 1338 ddfma371116 fma 1 -1e-3 +1e-383 -> -0.0009999999999999999 Rounded Inexact 1339 ddfma371117 fma 1 -1e-4 +1e-383 -> -0.00009999999999999999 Rounded Inexact 1340 ddfma371118 fma 1 -1e-5 +1e-383 -> -0.000009999999999999999 Rounded Inexact 1341 ddfma371119 fma 1 -1e-6 +1e-383 -> -9.999999999999999E-7 Rounded Inexact 1342 1343 -- tests based on Gunnar Degnbol's edge case 1344 rounding: half_even 1345 1346 ddfma371300 fma 1 1E16 -0.5 -> 1.000000000000000E+16 Inexact Rounded 1347 ddfma371310 fma 1 1E16 -0.51 -> 9999999999999999 Inexact Rounded 1348 ddfma371311 fma 1 1E16 -0.501 -> 9999999999999999 Inexact Rounded 1349 ddfma371312 fma 1 1E16 -0.5001 -> 9999999999999999 Inexact Rounded 1350 ddfma371313 fma 1 1E16 -0.50001 -> 9999999999999999 Inexact Rounded 1351 ddfma371314 fma 1 1E16 -0.500001 -> 9999999999999999 Inexact Rounded 1352 ddfma371315 fma 1 1E16 -0.5000001 -> 9999999999999999 Inexact Rounded 1353 ddfma371316 fma 1 1E16 -0.50000001 -> 9999999999999999 Inexact Rounded 1354 ddfma371317 fma 1 1E16 -0.500000001 -> 9999999999999999 Inexact Rounded 1355 ddfma371318 fma 1 1E16 -0.5000000001 -> 9999999999999999 Inexact Rounded 1356 ddfma371319 fma 1 1E16 -0.50000000001 -> 9999999999999999 Inexact Rounded 1357 ddfma371320 fma 1 1E16 -0.500000000001 -> 9999999999999999 Inexact Rounded 1358 ddfma371321 fma 1 1E16 -0.5000000000001 -> 9999999999999999 Inexact Rounded 1359 ddfma371322 fma 1 1E16 -0.50000000000001 -> 9999999999999999 Inexact Rounded 1360 ddfma371323 fma 1 1E16 -0.500000000000001 -> 9999999999999999 Inexact Rounded 1361 ddfma371324 fma 1 1E16 -0.5000000000000001 -> 9999999999999999 Inexact Rounded 1362 ddfma371325 fma 1 1E16 -0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded 1363 ddfma371326 fma 1 1E16 -0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded 1364 ddfma371327 fma 1 1E16 -0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded 1365 ddfma371328 fma 1 1E16 -0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded 1366 ddfma371329 fma 1 1E16 -0.500000000000 -> 1.000000000000000E+16 Inexact Rounded 1367 ddfma371330 fma 1 1E16 -0.50000000000 -> 1.000000000000000E+16 Inexact Rounded 1368 ddfma371331 fma 1 1E16 -0.5000000000 -> 1.000000000000000E+16 Inexact Rounded 1369 ddfma371332 fma 1 1E16 -0.500000000 -> 1.000000000000000E+16 Inexact Rounded 1370 ddfma371333 fma 1 1E16 -0.50000000 -> 1.000000000000000E+16 Inexact Rounded 1371 ddfma371334 fma 1 1E16 -0.5000000 -> 1.000000000000000E+16 Inexact Rounded 1372 ddfma371335 fma 1 1E16 -0.500000 -> 1.000000000000000E+16 Inexact Rounded 1373 ddfma371336 fma 1 1E16 -0.50000 -> 1.000000000000000E+16 Inexact Rounded 1374 ddfma371337 fma 1 1E16 -0.5000 -> 1.000000000000000E+16 Inexact Rounded 1375 ddfma371338 fma 1 1E16 -0.500 -> 1.000000000000000E+16 Inexact Rounded 1376 ddfma371339 fma 1 1E16 -0.50 -> 1.000000000000000E+16 Inexact Rounded 1377 1378 ddfma371340 fma 1 1E16 -5000000.000010001 -> 9999999995000000 Inexact Rounded 1379 ddfma371341 fma 1 1E16 -5000000.000000001 -> 9999999995000000 Inexact Rounded 1380 1381 ddfma371349 fma 1 9999999999999999 0.4 -> 9999999999999999 Inexact Rounded 1382 ddfma371350 fma 1 9999999999999999 0.49 -> 9999999999999999 Inexact Rounded 1383 ddfma371351 fma 1 9999999999999999 0.499 -> 9999999999999999 Inexact Rounded 1384 ddfma371352 fma 1 9999999999999999 0.4999 -> 9999999999999999 Inexact Rounded 1385 ddfma371353 fma 1 9999999999999999 0.49999 -> 9999999999999999 Inexact Rounded 1386 ddfma371354 fma 1 9999999999999999 0.499999 -> 9999999999999999 Inexact Rounded 1387 ddfma371355 fma 1 9999999999999999 0.4999999 -> 9999999999999999 Inexact Rounded 1388 ddfma371356 fma 1 9999999999999999 0.49999999 -> 9999999999999999 Inexact Rounded 1389 ddfma371357 fma 1 9999999999999999 0.499999999 -> 9999999999999999 Inexact Rounded 1390 ddfma371358 fma 1 9999999999999999 0.4999999999 -> 9999999999999999 Inexact Rounded 1391 ddfma371359 fma 1 9999999999999999 0.49999999999 -> 9999999999999999 Inexact Rounded 1392 ddfma371360 fma 1 9999999999999999 0.499999999999 -> 9999999999999999 Inexact Rounded 1393 ddfma371361 fma 1 9999999999999999 0.4999999999999 -> 9999999999999999 Inexact Rounded 1394 ddfma371362 fma 1 9999999999999999 0.49999999999999 -> 9999999999999999 Inexact Rounded 1395 ddfma371363 fma 1 9999999999999999 0.499999999999999 -> 9999999999999999 Inexact Rounded 1396 ddfma371364 fma 1 9999999999999999 0.4999999999999999 -> 9999999999999999 Inexact Rounded 1397 ddfma371365 fma 1 9999999999999999 0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded 1398 ddfma371367 fma 1 9999999999999999 0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded 1399 ddfma371368 fma 1 9999999999999999 0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded 1400 ddfma371369 fma 1 9999999999999999 0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded 1401 ddfma371370 fma 1 9999999999999999 0.500000000000 -> 1.000000000000000E+16 Inexact Rounded 1402 ddfma371371 fma 1 9999999999999999 0.50000000000 -> 1.000000000000000E+16 Inexact Rounded 1403 ddfma371372 fma 1 9999999999999999 0.5000000000 -> 1.000000000000000E+16 Inexact Rounded 1404 ddfma371373 fma 1 9999999999999999 0.500000000 -> 1.000000000000000E+16 Inexact Rounded 1405 ddfma371374 fma 1 9999999999999999 0.50000000 -> 1.000000000000000E+16 Inexact Rounded 1406 ddfma371375 fma 1 9999999999999999 0.5000000 -> 1.000000000000000E+16 Inexact Rounded 1407 ddfma371376 fma 1 9999999999999999 0.500000 -> 1.000000000000000E+16 Inexact Rounded 1408 ddfma371377 fma 1 9999999999999999 0.50000 -> 1.000000000000000E+16 Inexact Rounded 1409 ddfma371378 fma 1 9999999999999999 0.5000 -> 1.000000000000000E+16 Inexact Rounded 1410 ddfma371379 fma 1 9999999999999999 0.500 -> 1.000000000000000E+16 Inexact Rounded 1411 ddfma371380 fma 1 9999999999999999 0.50 -> 1.000000000000000E+16 Inexact Rounded 1412 ddfma371381 fma 1 9999999999999999 0.5 -> 1.000000000000000E+16 Inexact Rounded 1413 ddfma371382 fma 1 9999999999999999 0.5000000000000001 -> 1.000000000000000E+16 Inexact Rounded 1414 ddfma371383 fma 1 9999999999999999 0.500000000000001 -> 1.000000000000000E+16 Inexact Rounded 1415 ddfma371384 fma 1 9999999999999999 0.50000000000001 -> 1.000000000000000E+16 Inexact Rounded 1416 ddfma371385 fma 1 9999999999999999 0.5000000000001 -> 1.000000000000000E+16 Inexact Rounded 1417 ddfma371386 fma 1 9999999999999999 0.500000000001 -> 1.000000000000000E+16 Inexact Rounded 1418 ddfma371387 fma 1 9999999999999999 0.50000000001 -> 1.000000000000000E+16 Inexact Rounded 1419 ddfma371388 fma 1 9999999999999999 0.5000000001 -> 1.000000000000000E+16 Inexact Rounded 1420 ddfma371389 fma 1 9999999999999999 0.500000001 -> 1.000000000000000E+16 Inexact Rounded 1421 ddfma371390 fma 1 9999999999999999 0.50000001 -> 1.000000000000000E+16 Inexact Rounded 1422 ddfma371391 fma 1 9999999999999999 0.5000001 -> 1.000000000000000E+16 Inexact Rounded 1423 ddfma371392 fma 1 9999999999999999 0.500001 -> 1.000000000000000E+16 Inexact Rounded 1424 ddfma371393 fma 1 9999999999999999 0.50001 -> 1.000000000000000E+16 Inexact Rounded 1425 ddfma371394 fma 1 9999999999999999 0.5001 -> 1.000000000000000E+16 Inexact Rounded 1426 ddfma371395 fma 1 9999999999999999 0.501 -> 1.000000000000000E+16 Inexact Rounded 1427 ddfma371396 fma 1 9999999999999999 0.51 -> 1.000000000000000E+16 Inexact Rounded 1428 1429 -- More GD edge cases, where difference between the unadjusted 1430 -- exponents is larger than the maximum precision and one side is 0 1431 ddfma371420 fma 1 0 1.123456789012345 -> 1.123456789012345 1432 ddfma371421 fma 1 0 1.123456789012345E-1 -> 0.1123456789012345 1433 ddfma371422 fma 1 0 1.123456789012345E-2 -> 0.01123456789012345 1434 ddfma371423 fma 1 0 1.123456789012345E-3 -> 0.001123456789012345 1435 ddfma371424 fma 1 0 1.123456789012345E-4 -> 0.0001123456789012345 1436 ddfma371425 fma 1 0 1.123456789012345E-5 -> 0.00001123456789012345 1437 ddfma371426 fma 1 0 1.123456789012345E-6 -> 0.000001123456789012345 1438 ddfma371427 fma 1 0 1.123456789012345E-7 -> 1.123456789012345E-7 1439 ddfma371428 fma 1 0 1.123456789012345E-8 -> 1.123456789012345E-8 1440 ddfma371429 fma 1 0 1.123456789012345E-9 -> 1.123456789012345E-9 1441 ddfma371430 fma 1 0 1.123456789012345E-10 -> 1.123456789012345E-10 1442 ddfma371431 fma 1 0 1.123456789012345E-11 -> 1.123456789012345E-11 1443 ddfma371432 fma 1 0 1.123456789012345E-12 -> 1.123456789012345E-12 1444 ddfma371433 fma 1 0 1.123456789012345E-13 -> 1.123456789012345E-13 1445 ddfma371434 fma 1 0 1.123456789012345E-14 -> 1.123456789012345E-14 1446 ddfma371435 fma 1 0 1.123456789012345E-15 -> 1.123456789012345E-15 1447 ddfma371436 fma 1 0 1.123456789012345E-16 -> 1.123456789012345E-16 1448 ddfma371437 fma 1 0 1.123456789012345E-17 -> 1.123456789012345E-17 1449 ddfma371438 fma 1 0 1.123456789012345E-18 -> 1.123456789012345E-18 1450 ddfma371439 fma 1 0 1.123456789012345E-19 -> 1.123456789012345E-19 1451 1452 -- same, reversed 0 1453 ddfma371440 fma 1 1.123456789012345 0 -> 1.123456789012345 1454 ddfma371441 fma 1 1.123456789012345E-1 0 -> 0.1123456789012345 1455 ddfma371442 fma 1 1.123456789012345E-2 0 -> 0.01123456789012345 1456 ddfma371443 fma 1 1.123456789012345E-3 0 -> 0.001123456789012345 1457 ddfma371444 fma 1 1.123456789012345E-4 0 -> 0.0001123456789012345 1458 ddfma371445 fma 1 1.123456789012345E-5 0 -> 0.00001123456789012345 1459 ddfma371446 fma 1 1.123456789012345E-6 0 -> 0.000001123456789012345 1460 ddfma371447 fma 1 1.123456789012345E-7 0 -> 1.123456789012345E-7 1461 ddfma371448 fma 1 1.123456789012345E-8 0 -> 1.123456789012345E-8 1462 ddfma371449 fma 1 1.123456789012345E-9 0 -> 1.123456789012345E-9 1463 ddfma371450 fma 1 1.123456789012345E-10 0 -> 1.123456789012345E-10 1464 ddfma371451 fma 1 1.123456789012345E-11 0 -> 1.123456789012345E-11 1465 ddfma371452 fma 1 1.123456789012345E-12 0 -> 1.123456789012345E-12 1466 ddfma371453 fma 1 1.123456789012345E-13 0 -> 1.123456789012345E-13 1467 ddfma371454 fma 1 1.123456789012345E-14 0 -> 1.123456789012345E-14 1468 ddfma371455 fma 1 1.123456789012345E-15 0 -> 1.123456789012345E-15 1469 ddfma371456 fma 1 1.123456789012345E-16 0 -> 1.123456789012345E-16 1470 ddfma371457 fma 1 1.123456789012345E-17 0 -> 1.123456789012345E-17 1471 ddfma371458 fma 1 1.123456789012345E-18 0 -> 1.123456789012345E-18 1472 ddfma371459 fma 1 1.123456789012345E-19 0 -> 1.123456789012345E-19 1473 1474 -- same, Es on the 0 1475 ddfma371460 fma 1 1.123456789012345 0E-0 -> 1.123456789012345 1476 ddfma371461 fma 1 1.123456789012345 0E-1 -> 1.123456789012345 1477 ddfma371462 fma 1 1.123456789012345 0E-2 -> 1.123456789012345 1478 ddfma371463 fma 1 1.123456789012345 0E-3 -> 1.123456789012345 1479 ddfma371464 fma 1 1.123456789012345 0E-4 -> 1.123456789012345 1480 ddfma371465 fma 1 1.123456789012345 0E-5 -> 1.123456789012345 1481 ddfma371466 fma 1 1.123456789012345 0E-6 -> 1.123456789012345 1482 ddfma371467 fma 1 1.123456789012345 0E-7 -> 1.123456789012345 1483 ddfma371468 fma 1 1.123456789012345 0E-8 -> 1.123456789012345 1484 ddfma371469 fma 1 1.123456789012345 0E-9 -> 1.123456789012345 1485 ddfma371470 fma 1 1.123456789012345 0E-10 -> 1.123456789012345 1486 ddfma371471 fma 1 1.123456789012345 0E-11 -> 1.123456789012345 1487 ddfma371472 fma 1 1.123456789012345 0E-12 -> 1.123456789012345 1488 ddfma371473 fma 1 1.123456789012345 0E-13 -> 1.123456789012345 1489 ddfma371474 fma 1 1.123456789012345 0E-14 -> 1.123456789012345 1490 ddfma371475 fma 1 1.123456789012345 0E-15 -> 1.123456789012345 1491 -- next four flag Rounded because the 0 extends the result 1492 ddfma371476 fma 1 1.123456789012345 0E-16 -> 1.123456789012345 Rounded 1493 ddfma371477 fma 1 1.123456789012345 0E-17 -> 1.123456789012345 Rounded 1494 ddfma371478 fma 1 1.123456789012345 0E-18 -> 1.123456789012345 Rounded 1495 ddfma371479 fma 1 1.123456789012345 0E-19 -> 1.123456789012345 Rounded 1496 1497 -- sum of two opposite-sign operands is exactly 0 and floor => -0 1498 rounding: half_up 1499 -- exact zeros from zeros 1500 ddfma371500 fma 1 0 0E-19 -> 0E-19 1501 ddfma371501 fma 1 -0 0E-19 -> 0E-19 1502 ddfma371502 fma 1 0 -0E-19 -> 0E-19 1503 ddfma371503 fma 1 -0 -0E-19 -> -0E-19 1504 -- exact zeros from non-zeros 1505 ddfma371511 fma 1 -11 11 -> 0 1506 ddfma371512 fma 1 11 -11 -> 0 1507 1508 rounding: half_down 1509 -- exact zeros from zeros 1510 ddfma371520 fma 1 0 0E-19 -> 0E-19 1511 ddfma371521 fma 1 -0 0E-19 -> 0E-19 1512 ddfma371522 fma 1 0 -0E-19 -> 0E-19 1513 ddfma371523 fma 1 -0 -0E-19 -> -0E-19 1514 -- exact zeros from non-zeros 1515 ddfma371531 fma 1 -11 11 -> 0 1516 ddfma371532 fma 1 11 -11 -> 0 1517 1518 rounding: half_even 1519 -- exact zeros from zeros 1520 ddfma371540 fma 1 0 0E-19 -> 0E-19 1521 ddfma371541 fma 1 -0 0E-19 -> 0E-19 1522 ddfma371542 fma 1 0 -0E-19 -> 0E-19 1523 ddfma371543 fma 1 -0 -0E-19 -> -0E-19 1524 -- exact zeros from non-zeros 1525 ddfma371551 fma 1 -11 11 -> 0 1526 ddfma371552 fma 1 11 -11 -> 0 1527 1528 rounding: up 1529 -- exact zeros from zeros 1530 ddfma371560 fma 1 0 0E-19 -> 0E-19 1531 ddfma371561 fma 1 -0 0E-19 -> 0E-19 1532 ddfma371562 fma 1 0 -0E-19 -> 0E-19 1533 ddfma371563 fma 1 -0 -0E-19 -> -0E-19 1534 -- exact zeros from non-zeros 1535 ddfma371571 fma 1 -11 11 -> 0 1536 ddfma371572 fma 1 11 -11 -> 0 1537 1538 rounding: down 1539 -- exact zeros from zeros 1540 ddfma371580 fma 1 0 0E-19 -> 0E-19 1541 ddfma371581 fma 1 -0 0E-19 -> 0E-19 1542 ddfma371582 fma 1 0 -0E-19 -> 0E-19 1543 ddfma371583 fma 1 -0 -0E-19 -> -0E-19 1544 -- exact zeros from non-zeros 1545 ddfma371591 fma 1 -11 11 -> 0 1546 ddfma371592 fma 1 11 -11 -> 0 1547 1548 rounding: ceiling 1549 -- exact zeros from zeros 1550 ddfma371600 fma 1 0 0E-19 -> 0E-19 1551 ddfma371601 fma 1 -0 0E-19 -> 0E-19 1552 ddfma371602 fma 1 0 -0E-19 -> 0E-19 1553 ddfma371603 fma 1 -0 -0E-19 -> -0E-19 1554 -- exact zeros from non-zeros 1555 ddfma371611 fma 1 -11 11 -> 0 1556 ddfma371612 fma 1 11 -11 -> 0 1557 1558 -- and the extra-special ugly case; unusual minuses marked by -- * 1559 rounding: floor 1560 -- exact zeros from zeros 1561 ddfma371620 fma 1 0 0E-19 -> 0E-19 1562 ddfma371621 fma 1 -0 0E-19 -> -0E-19 -- * 1563 ddfma371622 fma 1 0 -0E-19 -> -0E-19 -- * 1564 ddfma371623 fma 1 -0 -0E-19 -> -0E-19 1565 -- exact zeros from non-zeros 1566 ddfma371631 fma 1 -11 11 -> -0 -- * 1567 ddfma371632 fma 1 11 -11 -> -0 -- * 1568 1569 -- Examples from SQL proposal (Krishna Kulkarni) 1570 ddfma371701 fma 1 130E-2 120E-2 -> 2.50 1571 ddfma371702 fma 1 130E-2 12E-1 -> 2.50 1572 ddfma371703 fma 1 130E-2 1E0 -> 2.30 1573 ddfma371704 fma 1 1E2 1E4 -> 1.01E+4 1574 ddfma371705 fma 1 130E-2 -120E-2 -> 0.10 1575 ddfma371706 fma 1 130E-2 -12E-1 -> 0.10 1576 ddfma371707 fma 1 130E-2 -1E0 -> 0.30 1577 ddfma371708 fma 1 1E2 -1E4 -> -9.9E+3 1578 1579 -- Gappy coefficients; check residue handling even with full coefficient gap 1580 rounding: half_even 1581 1582 ddfma375001 fma 1 1234567890123456 1 -> 1234567890123457 1583 ddfma375002 fma 1 1234567890123456 0.6 -> 1234567890123457 Inexact Rounded 1584 ddfma375003 fma 1 1234567890123456 0.06 -> 1234567890123456 Inexact Rounded 1585 ddfma375004 fma 1 1234567890123456 6E-3 -> 1234567890123456 Inexact Rounded 1586 ddfma375005 fma 1 1234567890123456 6E-4 -> 1234567890123456 Inexact Rounded 1587 ddfma375006 fma 1 1234567890123456 6E-5 -> 1234567890123456 Inexact Rounded 1588 ddfma375007 fma 1 1234567890123456 6E-6 -> 1234567890123456 Inexact Rounded 1589 ddfma375008 fma 1 1234567890123456 6E-7 -> 1234567890123456 Inexact Rounded 1590 ddfma375009 fma 1 1234567890123456 6E-8 -> 1234567890123456 Inexact Rounded 1591 ddfma375010 fma 1 1234567890123456 6E-9 -> 1234567890123456 Inexact Rounded 1592 ddfma375011 fma 1 1234567890123456 6E-10 -> 1234567890123456 Inexact Rounded 1593 ddfma375012 fma 1 1234567890123456 6E-11 -> 1234567890123456 Inexact Rounded 1594 ddfma375013 fma 1 1234567890123456 6E-12 -> 1234567890123456 Inexact Rounded 1595 ddfma375014 fma 1 1234567890123456 6E-13 -> 1234567890123456 Inexact Rounded 1596 ddfma375015 fma 1 1234567890123456 6E-14 -> 1234567890123456 Inexact Rounded 1597 ddfma375016 fma 1 1234567890123456 6E-15 -> 1234567890123456 Inexact Rounded 1598 ddfma375017 fma 1 1234567890123456 6E-16 -> 1234567890123456 Inexact Rounded 1599 ddfma375018 fma 1 1234567890123456 6E-17 -> 1234567890123456 Inexact Rounded 1600 ddfma375019 fma 1 1234567890123456 6E-18 -> 1234567890123456 Inexact Rounded 1601 ddfma375020 fma 1 1234567890123456 6E-19 -> 1234567890123456 Inexact Rounded 1602 ddfma375021 fma 1 1234567890123456 6E-20 -> 1234567890123456 Inexact Rounded 1603 1604 -- widening second argument at gap 1605 ddfma375030 fma 1 12345678 1 -> 12345679 1606 ddfma375031 fma 1 12345678 0.1 -> 12345678.1 1607 ddfma375032 fma 1 12345678 0.12 -> 12345678.12 1608 ddfma375033 fma 1 12345678 0.123 -> 12345678.123 1609 ddfma375034 fma 1 12345678 0.1234 -> 12345678.1234 1610 ddfma375035 fma 1 12345678 0.12345 -> 12345678.12345 1611 ddfma375036 fma 1 12345678 0.123456 -> 12345678.123456 1612 ddfma375037 fma 1 12345678 0.1234567 -> 12345678.1234567 1613 ddfma375038 fma 1 12345678 0.12345678 -> 12345678.12345678 1614 ddfma375039 fma 1 12345678 0.123456789 -> 12345678.12345679 Inexact Rounded 1615 ddfma375040 fma 1 12345678 0.123456785 -> 12345678.12345678 Inexact Rounded 1616 ddfma375041 fma 1 12345678 0.1234567850 -> 12345678.12345678 Inexact Rounded 1617 ddfma375042 fma 1 12345678 0.1234567851 -> 12345678.12345679 Inexact Rounded 1618 ddfma375043 fma 1 12345678 0.12345678501 -> 12345678.12345679 Inexact Rounded 1619 ddfma375044 fma 1 12345678 0.123456785001 -> 12345678.12345679 Inexact Rounded 1620 ddfma375045 fma 1 12345678 0.1234567850001 -> 12345678.12345679 Inexact Rounded 1621 ddfma375046 fma 1 12345678 0.12345678500001 -> 12345678.12345679 Inexact Rounded 1622 ddfma375047 fma 1 12345678 0.123456785000001 -> 12345678.12345679 Inexact Rounded 1623 ddfma375048 fma 1 12345678 0.1234567850000001 -> 12345678.12345679 Inexact Rounded 1624 ddfma375049 fma 1 12345678 0.1234567850000000 -> 12345678.12345678 Inexact Rounded 1625 -- 90123456 1626 rounding: half_even 1627 ddfma375050 fma 1 12345678 0.0234567750000000 -> 12345678.02345678 Inexact Rounded 1628 ddfma375051 fma 1 12345678 0.0034567750000000 -> 12345678.00345678 Inexact Rounded 1629 ddfma375052 fma 1 12345678 0.0004567750000000 -> 12345678.00045678 Inexact Rounded 1630 ddfma375053 fma 1 12345678 0.0000567750000000 -> 12345678.00005678 Inexact Rounded 1631 ddfma375054 fma 1 12345678 0.0000067750000000 -> 12345678.00000678 Inexact Rounded 1632 ddfma375055 fma 1 12345678 0.0000007750000000 -> 12345678.00000078 Inexact Rounded 1633 ddfma375056 fma 1 12345678 0.0000000750000000 -> 12345678.00000008 Inexact Rounded 1634 ddfma375057 fma 1 12345678 0.0000000050000000 -> 12345678.00000000 Inexact Rounded 1635 ddfma375060 fma 1 12345678 0.0234567750000001 -> 12345678.02345678 Inexact Rounded 1636 ddfma375061 fma 1 12345678 0.0034567750000001 -> 12345678.00345678 Inexact Rounded 1637 ddfma375062 fma 1 12345678 0.0004567750000001 -> 12345678.00045678 Inexact Rounded 1638 ddfma375063 fma 1 12345678 0.0000567750000001 -> 12345678.00005678 Inexact Rounded 1639 ddfma375064 fma 1 12345678 0.0000067750000001 -> 12345678.00000678 Inexact Rounded 1640 ddfma375065 fma 1 12345678 0.0000007750000001 -> 12345678.00000078 Inexact Rounded 1641 ddfma375066 fma 1 12345678 0.0000000750000001 -> 12345678.00000008 Inexact Rounded 1642 ddfma375067 fma 1 12345678 0.0000000050000001 -> 12345678.00000001 Inexact Rounded 1643 -- far-out residues (full coefficient gap is 16+15 digits) 1644 rounding: up 1645 ddfma375070 fma 1 12345678 1E-8 -> 12345678.00000001 1646 ddfma375071 fma 1 12345678 1E-9 -> 12345678.00000001 Inexact Rounded 1647 ddfma375072 fma 1 12345678 1E-10 -> 12345678.00000001 Inexact Rounded 1648 ddfma375073 fma 1 12345678 1E-11 -> 12345678.00000001 Inexact Rounded 1649 ddfma375074 fma 1 12345678 1E-12 -> 12345678.00000001 Inexact Rounded 1650 ddfma375075 fma 1 12345678 1E-13 -> 12345678.00000001 Inexact Rounded 1651 ddfma375076 fma 1 12345678 1E-14 -> 12345678.00000001 Inexact Rounded 1652 ddfma375077 fma 1 12345678 1E-15 -> 12345678.00000001 Inexact Rounded 1653 ddfma375078 fma 1 12345678 1E-16 -> 12345678.00000001 Inexact Rounded 1654 ddfma375079 fma 1 12345678 1E-17 -> 12345678.00000001 Inexact Rounded 1655 ddfma375080 fma 1 12345678 1E-18 -> 12345678.00000001 Inexact Rounded 1656 ddfma375081 fma 1 12345678 1E-19 -> 12345678.00000001 Inexact Rounded 1657 ddfma375082 fma 1 12345678 1E-20 -> 12345678.00000001 Inexact Rounded 1658 ddfma375083 fma 1 12345678 1E-25 -> 12345678.00000001 Inexact Rounded 1659 ddfma375084 fma 1 12345678 1E-30 -> 12345678.00000001 Inexact Rounded 1660 ddfma375085 fma 1 12345678 1E-31 -> 12345678.00000001 Inexact Rounded 1661 ddfma375086 fma 1 12345678 1E-32 -> 12345678.00000001 Inexact Rounded 1662 ddfma375087 fma 1 12345678 1E-33 -> 12345678.00000001 Inexact Rounded 1663 ddfma375088 fma 1 12345678 1E-34 -> 12345678.00000001 Inexact Rounded 1664 ddfma375089 fma 1 12345678 1E-35 -> 12345678.00000001 Inexact Rounded 1665 1666 -- desctructive subtraction (from remainder tests) 1667 1668 -- +++ some of these will be off-by-one remainder vs remainderNear 1669 1670 ddfma4000 fma -1234567890123454 1.000000000000001 1234567890123456 -> 0.765432109876546 1671 ddfma4001 fma -1234567890123443 1.00000000000001 1234567890123456 -> 0.65432109876557 1672 ddfma4002 fma -1234567890123332 1.0000000000001 1234567890123456 -> 0.5432109876668 1673 ddfma4003 fma -308641972530863 4.000000000000001 1234567890123455 -> 2.691358027469137 1674 ddfma4004 fma -308641972530863 4.000000000000001 1234567890123456 -> 3.691358027469137 1675 ddfma4005 fma -246913578024696 4.9999999999999 1234567890123456 -> 0.6913578024696 1676 ddfma4006 fma -246913578024691 4.99999999999999 1234567890123456 -> 3.46913578024691 1677 ddfma4007 fma -246913578024691 4.999999999999999 1234567890123456 -> 1.246913578024691 1678 ddfma4008 fma -246913578024691 5.000000000000001 1234567890123456 -> 0.753086421975309 1679 ddfma4009 fma -246913578024690 5.00000000000001 1234567890123456 -> 3.53086421975310 1680 ddfma4010 fma -246913578024686 5.0000000000001 1234567890123456 -> 1.3086421975314 1681 ddfma4011 fma -1234567890123455 1.000000000000001 1234567890123456 -> -0.234567890123455 1682 ddfma4012 fma -1234567890123444 1.00000000000001 1234567890123456 -> -0.34567890123444 1683 ddfma4013 fma -1234567890123333 1.0000000000001 1234567890123456 -> -0.4567890123333 1684 ddfma4014 fma -308641972530864 4.000000000000001 1234567890123455 -> -1.308641972530864 1685 ddfma4015 fma -308641972530864 4.000000000000001 1234567890123456 -> -0.308641972530864 1686 ddfma4016 fma -246913578024696 4.9999999999999 1234567890123456 -> 0.6913578024696 1687 ddfma4017 fma -246913578024692 4.99999999999999 1234567890123456 -> -1.53086421975308 1688 ddfma4018 fma -246913578024691 4.999999999999999 1234567890123456 -> 1.246913578024691 1689 ddfma4019 fma -246913578024691 5.000000000000001 1234567890123456 -> 0.753086421975309 1690 ddfma4020 fma -246913578024691 5.00000000000001 1234567890123456 -> -1.46913578024691 1691 ddfma4021 fma -246913578024686 5.0000000000001 1234567890123456 -> 1.3086421975314 1692 1693 1694 -- Null tests 1695 ddfma39990 fma 1 10 # -> NaN Invalid_operation 1696 ddfma39991 fma 1 # 10 -> NaN Invalid_operation 1697 1698 1699
