| Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame^] | 1 |  | 
 | 2 | /* | 
 | 3 | =============================================================================== | 
 | 4 |  | 
 | 5 | This C source fragment is part of the SoftFloat IEC/IEEE Floating-point | 
 | 6 | Arithmetic Package, Release 2. | 
 | 7 |  | 
 | 8 | Written by John R. Hauser.  This work was made possible in part by the | 
 | 9 | International Computer Science Institute, located at Suite 600, 1947 Center | 
 | 10 | Street, Berkeley, California 94704.  Funding was partially provided by the | 
 | 11 | National Science Foundation under grant MIP-9311980.  The original version | 
 | 12 | of this code was written as part of a project to build a fixed-point vector | 
 | 13 | processor in collaboration with the University of California at Berkeley, | 
 | 14 | overseen by Profs. Nelson Morgan and John Wawrzynek.  More information | 
 | 15 | is available through the Web page `http://HTTP.CS.Berkeley.EDU/~jhauser/ | 
 | 16 | arithmetic/softfloat.html'. | 
 | 17 |  | 
 | 18 | THIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE.  Although reasonable effort | 
 | 19 | has been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT | 
 | 20 | TIMES RESULT IN INCORRECT BEHAVIOR.  USE OF THIS SOFTWARE IS RESTRICTED TO | 
 | 21 | PERSONS AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ANY | 
 | 22 | AND ALL LOSSES, COSTS, OR OTHER PROBLEMS ARISING FROM ITS USE. | 
 | 23 |  | 
 | 24 | Derivative works are acceptable, even for commercial purposes, so long as | 
 | 25 | (1) they include prominent notice that the work is derivative, and (2) they | 
 | 26 | include prominent notice akin to these three paragraphs for those parts of | 
 | 27 | this code that are retained. | 
 | 28 |  | 
 | 29 | =============================================================================== | 
 | 30 | */ | 
 | 31 |  | 
 | 32 | /* | 
 | 33 | ------------------------------------------------------------------------------- | 
 | 34 | Underflow tininess-detection mode, statically initialized to default value. | 
 | 35 | (The declaration in `softfloat.h' must match the `int8' type here.) | 
 | 36 | ------------------------------------------------------------------------------- | 
 | 37 | */ | 
 | 38 | int8 float_detect_tininess = float_tininess_after_rounding; | 
 | 39 |  | 
 | 40 | /* | 
 | 41 | ------------------------------------------------------------------------------- | 
 | 42 | Raises the exceptions specified by `flags'.  Floating-point traps can be | 
 | 43 | defined here if desired.  It is currently not possible for such a trap to | 
 | 44 | substitute a result value.  If traps are not implemented, this routine | 
 | 45 | should be simply `float_exception_flags |= flags;'. | 
 | 46 |  | 
 | 47 | ScottB:  November 4, 1998 | 
 | 48 | Moved this function out of softfloat-specialize into fpmodule.c. | 
 | 49 | This effectively isolates all the changes required for integrating with the | 
 | 50 | Linux kernel into fpmodule.c.  Porting to NetBSD should only require modifying | 
 | 51 | fpmodule.c to integrate with the NetBSD kernel (I hope!). | 
 | 52 | ------------------------------------------------------------------------------- | 
 | 53 | void float_raise( int8 flags ) | 
 | 54 | { | 
 | 55 |     float_exception_flags |= flags; | 
 | 56 | } | 
 | 57 | */ | 
 | 58 |  | 
 | 59 | /* | 
 | 60 | ------------------------------------------------------------------------------- | 
 | 61 | Internal canonical NaN format. | 
 | 62 | ------------------------------------------------------------------------------- | 
 | 63 | */ | 
 | 64 | typedef struct { | 
 | 65 |     flag sign; | 
 | 66 |     bits64 high, low; | 
 | 67 | } commonNaNT; | 
 | 68 |  | 
 | 69 | /* | 
 | 70 | ------------------------------------------------------------------------------- | 
 | 71 | The pattern for a default generated single-precision NaN. | 
 | 72 | ------------------------------------------------------------------------------- | 
 | 73 | */ | 
 | 74 | #define float32_default_nan 0xFFFFFFFF | 
 | 75 |  | 
 | 76 | /* | 
 | 77 | ------------------------------------------------------------------------------- | 
 | 78 | Returns 1 if the single-precision floating-point value `a' is a NaN; | 
 | 79 | otherwise returns 0. | 
 | 80 | ------------------------------------------------------------------------------- | 
 | 81 | */ | 
 | 82 | flag float32_is_nan( float32 a ) | 
 | 83 | { | 
 | 84 |  | 
 | 85 |     return ( 0xFF000000 < (bits32) ( a<<1 ) ); | 
 | 86 |  | 
 | 87 | } | 
 | 88 |  | 
 | 89 | /* | 
 | 90 | ------------------------------------------------------------------------------- | 
 | 91 | Returns 1 if the single-precision floating-point value `a' is a signaling | 
 | 92 | NaN; otherwise returns 0. | 
 | 93 | ------------------------------------------------------------------------------- | 
 | 94 | */ | 
 | 95 | flag float32_is_signaling_nan( float32 a ) | 
 | 96 | { | 
 | 97 |  | 
 | 98 |     return ( ( ( a>>22 ) & 0x1FF ) == 0x1FE ) && ( a & 0x003FFFFF ); | 
 | 99 |  | 
 | 100 | } | 
 | 101 |  | 
 | 102 | /* | 
 | 103 | ------------------------------------------------------------------------------- | 
 | 104 | Returns the result of converting the single-precision floating-point NaN | 
 | 105 | `a' to the canonical NaN format.  If `a' is a signaling NaN, the invalid | 
 | 106 | exception is raised. | 
 | 107 | ------------------------------------------------------------------------------- | 
 | 108 | */ | 
 | 109 | static commonNaNT float32ToCommonNaN( float32 a ) | 
 | 110 | { | 
 | 111 |     commonNaNT z; | 
 | 112 |  | 
 | 113 |     if ( float32_is_signaling_nan( a ) ) float_raise( float_flag_invalid ); | 
 | 114 |     z.sign = a>>31; | 
 | 115 |     z.low = 0; | 
 | 116 |     z.high = ( (bits64) a )<<41; | 
 | 117 |     return z; | 
 | 118 |  | 
 | 119 | } | 
 | 120 |  | 
 | 121 | /* | 
 | 122 | ------------------------------------------------------------------------------- | 
 | 123 | Returns the result of converting the canonical NaN `a' to the single- | 
 | 124 | precision floating-point format. | 
 | 125 | ------------------------------------------------------------------------------- | 
 | 126 | */ | 
 | 127 | static float32 commonNaNToFloat32( commonNaNT a ) | 
 | 128 | { | 
 | 129 |  | 
 | 130 |     return ( ( (bits32) a.sign )<<31 ) | 0x7FC00000 | ( a.high>>41 ); | 
 | 131 |  | 
 | 132 | } | 
 | 133 |  | 
 | 134 | /* | 
 | 135 | ------------------------------------------------------------------------------- | 
 | 136 | Takes two single-precision floating-point values `a' and `b', one of which | 
 | 137 | is a NaN, and returns the appropriate NaN result.  If either `a' or `b' is a | 
 | 138 | signaling NaN, the invalid exception is raised. | 
 | 139 | ------------------------------------------------------------------------------- | 
 | 140 | */ | 
 | 141 | static float32 propagateFloat32NaN( float32 a, float32 b ) | 
 | 142 | { | 
 | 143 |     flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN; | 
 | 144 |  | 
 | 145 |     aIsNaN = float32_is_nan( a ); | 
 | 146 |     aIsSignalingNaN = float32_is_signaling_nan( a ); | 
 | 147 |     bIsNaN = float32_is_nan( b ); | 
 | 148 |     bIsSignalingNaN = float32_is_signaling_nan( b ); | 
 | 149 |     a |= 0x00400000; | 
 | 150 |     b |= 0x00400000; | 
 | 151 |     if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid ); | 
 | 152 |     if ( aIsNaN ) { | 
 | 153 |         return ( aIsSignalingNaN & bIsNaN ) ? b : a; | 
 | 154 |     } | 
 | 155 |     else { | 
 | 156 |         return b; | 
 | 157 |     } | 
 | 158 |  | 
 | 159 | } | 
 | 160 |  | 
 | 161 | /* | 
 | 162 | ------------------------------------------------------------------------------- | 
 | 163 | The pattern for a default generated double-precision NaN. | 
 | 164 | ------------------------------------------------------------------------------- | 
 | 165 | */ | 
 | 166 | #define float64_default_nan LIT64( 0xFFFFFFFFFFFFFFFF ) | 
 | 167 |  | 
 | 168 | /* | 
 | 169 | ------------------------------------------------------------------------------- | 
 | 170 | Returns 1 if the double-precision floating-point value `a' is a NaN; | 
 | 171 | otherwise returns 0. | 
 | 172 | ------------------------------------------------------------------------------- | 
 | 173 | */ | 
 | 174 | flag float64_is_nan( float64 a ) | 
 | 175 | { | 
 | 176 |  | 
 | 177 |     return ( LIT64( 0xFFE0000000000000 ) < (bits64) ( a<<1 ) ); | 
 | 178 |  | 
 | 179 | } | 
 | 180 |  | 
 | 181 | /* | 
 | 182 | ------------------------------------------------------------------------------- | 
 | 183 | Returns 1 if the double-precision floating-point value `a' is a signaling | 
 | 184 | NaN; otherwise returns 0. | 
 | 185 | ------------------------------------------------------------------------------- | 
 | 186 | */ | 
 | 187 | flag float64_is_signaling_nan( float64 a ) | 
 | 188 | { | 
 | 189 |  | 
 | 190 |     return | 
 | 191 |            ( ( ( a>>51 ) & 0xFFF ) == 0xFFE ) | 
 | 192 |         && ( a & LIT64( 0x0007FFFFFFFFFFFF ) ); | 
 | 193 |  | 
 | 194 | } | 
 | 195 |  | 
 | 196 | /* | 
 | 197 | ------------------------------------------------------------------------------- | 
 | 198 | Returns the result of converting the double-precision floating-point NaN | 
 | 199 | `a' to the canonical NaN format.  If `a' is a signaling NaN, the invalid | 
 | 200 | exception is raised. | 
 | 201 | ------------------------------------------------------------------------------- | 
 | 202 | */ | 
 | 203 | static commonNaNT float64ToCommonNaN( float64 a ) | 
 | 204 | { | 
 | 205 |     commonNaNT z; | 
 | 206 |  | 
 | 207 |     if ( float64_is_signaling_nan( a ) ) float_raise( float_flag_invalid ); | 
 | 208 |     z.sign = a>>63; | 
 | 209 |     z.low = 0; | 
 | 210 |     z.high = a<<12; | 
 | 211 |     return z; | 
 | 212 |  | 
 | 213 | } | 
 | 214 |  | 
 | 215 | /* | 
 | 216 | ------------------------------------------------------------------------------- | 
 | 217 | Returns the result of converting the canonical NaN `a' to the double- | 
 | 218 | precision floating-point format. | 
 | 219 | ------------------------------------------------------------------------------- | 
 | 220 | */ | 
 | 221 | static float64 commonNaNToFloat64( commonNaNT a ) | 
 | 222 | { | 
 | 223 |  | 
 | 224 |     return | 
 | 225 |           ( ( (bits64) a.sign )<<63 ) | 
 | 226 |         | LIT64( 0x7FF8000000000000 ) | 
 | 227 |         | ( a.high>>12 ); | 
 | 228 |  | 
 | 229 | } | 
 | 230 |  | 
 | 231 | /* | 
 | 232 | ------------------------------------------------------------------------------- | 
 | 233 | Takes two double-precision floating-point values `a' and `b', one of which | 
 | 234 | is a NaN, and returns the appropriate NaN result.  If either `a' or `b' is a | 
 | 235 | signaling NaN, the invalid exception is raised. | 
 | 236 | ------------------------------------------------------------------------------- | 
 | 237 | */ | 
 | 238 | static float64 propagateFloat64NaN( float64 a, float64 b ) | 
 | 239 | { | 
 | 240 |     flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN; | 
 | 241 |  | 
 | 242 |     aIsNaN = float64_is_nan( a ); | 
 | 243 |     aIsSignalingNaN = float64_is_signaling_nan( a ); | 
 | 244 |     bIsNaN = float64_is_nan( b ); | 
 | 245 |     bIsSignalingNaN = float64_is_signaling_nan( b ); | 
 | 246 |     a |= LIT64( 0x0008000000000000 ); | 
 | 247 |     b |= LIT64( 0x0008000000000000 ); | 
 | 248 |     if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid ); | 
 | 249 |     if ( aIsNaN ) { | 
 | 250 |         return ( aIsSignalingNaN & bIsNaN ) ? b : a; | 
 | 251 |     } | 
 | 252 |     else { | 
 | 253 |         return b; | 
 | 254 |     } | 
 | 255 |  | 
 | 256 | } | 
 | 257 |  | 
 | 258 | #ifdef FLOATX80 | 
 | 259 |  | 
 | 260 | /* | 
 | 261 | ------------------------------------------------------------------------------- | 
 | 262 | The pattern for a default generated extended double-precision NaN.  The | 
 | 263 | `high' and `low' values hold the most- and least-significant bits, | 
 | 264 | respectively. | 
 | 265 | ------------------------------------------------------------------------------- | 
 | 266 | */ | 
 | 267 | #define floatx80_default_nan_high 0xFFFF | 
 | 268 | #define floatx80_default_nan_low  LIT64( 0xFFFFFFFFFFFFFFFF ) | 
 | 269 |  | 
 | 270 | /* | 
 | 271 | ------------------------------------------------------------------------------- | 
 | 272 | Returns 1 if the extended double-precision floating-point value `a' is a | 
 | 273 | NaN; otherwise returns 0. | 
 | 274 | ------------------------------------------------------------------------------- | 
 | 275 | */ | 
 | 276 | flag floatx80_is_nan( floatx80 a ) | 
 | 277 | { | 
 | 278 |  | 
 | 279 |     return ( ( a.high & 0x7FFF ) == 0x7FFF ) && (bits64) ( a.low<<1 ); | 
 | 280 |  | 
 | 281 | } | 
 | 282 |  | 
 | 283 | /* | 
 | 284 | ------------------------------------------------------------------------------- | 
 | 285 | Returns 1 if the extended double-precision floating-point value `a' is a | 
 | 286 | signaling NaN; otherwise returns 0. | 
 | 287 | ------------------------------------------------------------------------------- | 
 | 288 | */ | 
 | 289 | flag floatx80_is_signaling_nan( floatx80 a ) | 
 | 290 | { | 
 | 291 |     //register int lr; | 
 | 292 |     bits64 aLow; | 
 | 293 |  | 
 | 294 |     //__asm__("mov %0, lr" : : "g" (lr)); | 
 | 295 |     //fp_printk("floatx80_is_signalling_nan() called from 0x%08x\n",lr); | 
 | 296 |     aLow = a.low & ~ LIT64( 0x4000000000000000 ); | 
 | 297 |     return | 
 | 298 |            ( ( a.high & 0x7FFF ) == 0x7FFF ) | 
 | 299 |         && (bits64) ( aLow<<1 ) | 
 | 300 |         && ( a.low == aLow ); | 
 | 301 |  | 
 | 302 | } | 
 | 303 |  | 
 | 304 | /* | 
 | 305 | ------------------------------------------------------------------------------- | 
 | 306 | Returns the result of converting the extended double-precision floating- | 
 | 307 | point NaN `a' to the canonical NaN format.  If `a' is a signaling NaN, the | 
 | 308 | invalid exception is raised. | 
 | 309 | ------------------------------------------------------------------------------- | 
 | 310 | */ | 
 | 311 | static commonNaNT floatx80ToCommonNaN( floatx80 a ) | 
 | 312 | { | 
 | 313 |     commonNaNT z; | 
 | 314 |  | 
 | 315 |     if ( floatx80_is_signaling_nan( a ) ) float_raise( float_flag_invalid ); | 
 | 316 |     z.sign = a.high>>15; | 
 | 317 |     z.low = 0; | 
 | 318 |     z.high = a.low<<1; | 
 | 319 |     return z; | 
 | 320 |  | 
 | 321 | } | 
 | 322 |  | 
 | 323 | /* | 
 | 324 | ------------------------------------------------------------------------------- | 
 | 325 | Returns the result of converting the canonical NaN `a' to the extended | 
 | 326 | double-precision floating-point format. | 
 | 327 | ------------------------------------------------------------------------------- | 
 | 328 | */ | 
 | 329 | static floatx80 commonNaNToFloatx80( commonNaNT a ) | 
 | 330 | { | 
 | 331 |     floatx80 z; | 
 | 332 |  | 
 | 333 |     z.low = LIT64( 0xC000000000000000 ) | ( a.high>>1 ); | 
 | 334 |     z.high = ( ( (bits16) a.sign )<<15 ) | 0x7FFF; | 
 | 335 |     return z; | 
 | 336 |  | 
 | 337 | } | 
 | 338 |  | 
 | 339 | /* | 
 | 340 | ------------------------------------------------------------------------------- | 
 | 341 | Takes two extended double-precision floating-point values `a' and `b', one | 
 | 342 | of which is a NaN, and returns the appropriate NaN result.  If either `a' or | 
 | 343 | `b' is a signaling NaN, the invalid exception is raised. | 
 | 344 | ------------------------------------------------------------------------------- | 
 | 345 | */ | 
 | 346 | static floatx80 propagateFloatx80NaN( floatx80 a, floatx80 b ) | 
 | 347 | { | 
 | 348 |     flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN; | 
 | 349 |  | 
 | 350 |     aIsNaN = floatx80_is_nan( a ); | 
 | 351 |     aIsSignalingNaN = floatx80_is_signaling_nan( a ); | 
 | 352 |     bIsNaN = floatx80_is_nan( b ); | 
 | 353 |     bIsSignalingNaN = floatx80_is_signaling_nan( b ); | 
 | 354 |     a.low |= LIT64( 0xC000000000000000 ); | 
 | 355 |     b.low |= LIT64( 0xC000000000000000 ); | 
 | 356 |     if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid ); | 
 | 357 |     if ( aIsNaN ) { | 
 | 358 |         return ( aIsSignalingNaN & bIsNaN ) ? b : a; | 
 | 359 |     } | 
 | 360 |     else { | 
 | 361 |         return b; | 
 | 362 |     } | 
 | 363 |  | 
 | 364 | } | 
 | 365 |  | 
 | 366 | #endif |