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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 | /* =============================================================================== This C source fragment is part of the SoftFloat IEC/IEEE Floating-point Arithmetic Package, Release 2. Written by John R. Hauser. This work was made possible in part by the International Computer Science Institute, located at Suite 600, 1947 Center Street, Berkeley, California 94704. Funding was partially provided by the National Science Foundation under grant MIP-9311980. The original version of this code was written as part of a project to build a fixed-point vector processor in collaboration with the University of California at Berkeley, overseen by Profs. Nelson Morgan and John Wawrzynek. More information is available through the Web page `http://HTTP.CS.Berkeley.EDU/~jhauser/ arithmetic/softfloat.html'. THIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE. Although reasonable effort has been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT TIMES RESULT IN INCORRECT BEHAVIOR. USE OF THIS SOFTWARE IS RESTRICTED TO PERSONS AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ANY AND ALL LOSSES, COSTS, OR OTHER PROBLEMS ARISING FROM ITS USE. Derivative works are acceptable, even for commercial purposes, so long as (1) they include prominent notice that the work is derivative, and (2) they include prominent notice akin to these three paragraphs for those parts of this code that are retained. =============================================================================== */ /* ------------------------------------------------------------------------------- Underflow tininess-detection mode, statically initialized to default value. (The declaration in `softfloat.h' must match the `int8' type here.) ------------------------------------------------------------------------------- */ int8 float_detect_tininess = float_tininess_after_rounding; /* ------------------------------------------------------------------------------- Raises the exceptions specified by `flags'. Floating-point traps can be defined here if desired. It is currently not possible for such a trap to substitute a result value. If traps are not implemented, this routine should be simply `float_exception_flags |= flags;'. ScottB: November 4, 1998 Moved this function out of softfloat-specialize into fpmodule.c. This effectively isolates all the changes required for integrating with the Linux kernel into fpmodule.c. Porting to NetBSD should only require modifying fpmodule.c to integrate with the NetBSD kernel (I hope!). ------------------------------------------------------------------------------- void float_raise( int8 flags ) { float_exception_flags |= flags; } */ /* ------------------------------------------------------------------------------- Internal canonical NaN format. ------------------------------------------------------------------------------- */ typedef struct { flag sign; bits64 high, low; } commonNaNT; /* ------------------------------------------------------------------------------- The pattern for a default generated single-precision NaN. ------------------------------------------------------------------------------- */ #define float32_default_nan 0xFFFFFFFF /* ------------------------------------------------------------------------------- Returns 1 if the single-precision floating-point value `a' is a NaN; otherwise returns 0. ------------------------------------------------------------------------------- */ flag float32_is_nan( float32 a ) { return ( 0xFF000000 < (bits32) ( a<<1 ) ); } /* ------------------------------------------------------------------------------- Returns 1 if the single-precision floating-point value `a' is a signaling NaN; otherwise returns 0. ------------------------------------------------------------------------------- */ flag float32_is_signaling_nan( float32 a ) { return ( ( ( a>>22 ) & 0x1FF ) == 0x1FE ) && ( a & 0x003FFFFF ); } /* ------------------------------------------------------------------------------- Returns the result of converting the single-precision floating-point NaN `a' to the canonical NaN format. If `a' is a signaling NaN, the invalid exception is raised. ------------------------------------------------------------------------------- */ static commonNaNT float32ToCommonNaN( float32 a ) { commonNaNT z; if ( float32_is_signaling_nan( a ) ) float_raise( float_flag_invalid ); z.sign = a>>31; z.low = 0; z.high = ( (bits64) a )<<41; return z; } /* ------------------------------------------------------------------------------- Returns the result of converting the canonical NaN `a' to the single- precision floating-point format. ------------------------------------------------------------------------------- */ static float32 commonNaNToFloat32( commonNaNT a ) { return ( ( (bits32) a.sign )<<31 ) | 0x7FC00000 | ( a.high>>41 ); } /* ------------------------------------------------------------------------------- Takes two single-precision floating-point values `a' and `b', one of which is a NaN, and returns the appropriate NaN result. If either `a' or `b' is a signaling NaN, the invalid exception is raised. ------------------------------------------------------------------------------- */ static float32 propagateFloat32NaN( float32 a, float32 b ) { flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN; aIsNaN = float32_is_nan( a ); aIsSignalingNaN = float32_is_signaling_nan( a ); bIsNaN = float32_is_nan( b ); bIsSignalingNaN = float32_is_signaling_nan( b ); a |= 0x00400000; b |= 0x00400000; if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid ); if ( aIsNaN ) { return ( aIsSignalingNaN & bIsNaN ) ? b : a; } else { return b; } } /* ------------------------------------------------------------------------------- The pattern for a default generated double-precision NaN. ------------------------------------------------------------------------------- */ #define float64_default_nan LIT64( 0xFFFFFFFFFFFFFFFF ) /* ------------------------------------------------------------------------------- Returns 1 if the double-precision floating-point value `a' is a NaN; otherwise returns 0. ------------------------------------------------------------------------------- */ flag float64_is_nan( float64 a ) { return ( LIT64( 0xFFE0000000000000 ) < (bits64) ( a<<1 ) ); } /* ------------------------------------------------------------------------------- Returns 1 if the double-precision floating-point value `a' is a signaling NaN; otherwise returns 0. ------------------------------------------------------------------------------- */ flag float64_is_signaling_nan( float64 a ) { return ( ( ( a>>51 ) & 0xFFF ) == 0xFFE ) && ( a & LIT64( 0x0007FFFFFFFFFFFF ) ); } /* ------------------------------------------------------------------------------- Returns the result of converting the double-precision floating-point NaN `a' to the canonical NaN format. If `a' is a signaling NaN, the invalid exception is raised. ------------------------------------------------------------------------------- */ static commonNaNT float64ToCommonNaN( float64 a ) { commonNaNT z; if ( float64_is_signaling_nan( a ) ) float_raise( float_flag_invalid ); z.sign = a>>63; z.low = 0; z.high = a<<12; return z; } /* ------------------------------------------------------------------------------- Returns the result of converting the canonical NaN `a' to the double- precision floating-point format. ------------------------------------------------------------------------------- */ static float64 commonNaNToFloat64( commonNaNT a ) { return ( ( (bits64) a.sign )<<63 ) | LIT64( 0x7FF8000000000000 ) | ( a.high>>12 ); } /* ------------------------------------------------------------------------------- Takes two double-precision floating-point values `a' and `b', one of which is a NaN, and returns the appropriate NaN result. If either `a' or `b' is a signaling NaN, the invalid exception is raised. ------------------------------------------------------------------------------- */ static float64 propagateFloat64NaN( float64 a, float64 b ) { flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN; aIsNaN = float64_is_nan( a ); aIsSignalingNaN = float64_is_signaling_nan( a ); bIsNaN = float64_is_nan( b ); bIsSignalingNaN = float64_is_signaling_nan( b ); a |= LIT64( 0x0008000000000000 ); b |= LIT64( 0x0008000000000000 ); if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid ); if ( aIsNaN ) { return ( aIsSignalingNaN & bIsNaN ) ? b : a; } else { return b; } } #ifdef FLOATX80 /* ------------------------------------------------------------------------------- The pattern for a default generated extended double-precision NaN. The `high' and `low' values hold the most- and least-significant bits, respectively. ------------------------------------------------------------------------------- */ #define floatx80_default_nan_high 0xFFFF #define floatx80_default_nan_low LIT64( 0xFFFFFFFFFFFFFFFF ) /* ------------------------------------------------------------------------------- Returns 1 if the extended double-precision floating-point value `a' is a NaN; otherwise returns 0. ------------------------------------------------------------------------------- */ flag floatx80_is_nan( floatx80 a ) { return ( ( a.high & 0x7FFF ) == 0x7FFF ) && (bits64) ( a.low<<1 ); } /* ------------------------------------------------------------------------------- Returns 1 if the extended double-precision floating-point value `a' is a signaling NaN; otherwise returns 0. ------------------------------------------------------------------------------- */ flag floatx80_is_signaling_nan( floatx80 a ) { //register int lr; bits64 aLow; //__asm__("mov %0, lr" : : "g" (lr)); //fp_printk("floatx80_is_signalling_nan() called from 0x%08x\n",lr); aLow = a.low & ~ LIT64( 0x4000000000000000 ); return ( ( a.high & 0x7FFF ) == 0x7FFF ) && (bits64) ( aLow<<1 ) && ( a.low == aLow ); } /* ------------------------------------------------------------------------------- Returns the result of converting the extended double-precision floating- point NaN `a' to the canonical NaN format. If `a' is a signaling NaN, the invalid exception is raised. ------------------------------------------------------------------------------- */ static commonNaNT floatx80ToCommonNaN( floatx80 a ) { commonNaNT z; if ( floatx80_is_signaling_nan( a ) ) float_raise( float_flag_invalid ); z.sign = a.high>>15; z.low = 0; z.high = a.low<<1; return z; } /* ------------------------------------------------------------------------------- Returns the result of converting the canonical NaN `a' to the extended double-precision floating-point format. ------------------------------------------------------------------------------- */ static floatx80 commonNaNToFloatx80( commonNaNT a ) { floatx80 z; z.low = LIT64( 0xC000000000000000 ) | ( a.high>>1 ); z.high = ( ( (bits16) a.sign )<<15 ) | 0x7FFF; return z; } /* ------------------------------------------------------------------------------- Takes two extended double-precision floating-point values `a' and `b', one of which is a NaN, and returns the appropriate NaN result. If either `a' or `b' is a signaling NaN, the invalid exception is raised. ------------------------------------------------------------------------------- */ static floatx80 propagateFloatx80NaN( floatx80 a, floatx80 b ) { flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN; aIsNaN = floatx80_is_nan( a ); aIsSignalingNaN = floatx80_is_signaling_nan( a ); bIsNaN = floatx80_is_nan( b ); bIsSignalingNaN = floatx80_is_signaling_nan( b ); a.low |= LIT64( 0xC000000000000000 ); b.low |= LIT64( 0xC000000000000000 ); if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid ); if ( aIsNaN ) { return ( aIsSignalingNaN & bIsNaN ) ? b : a; } else { return b; } } #endif |