| 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; | 
| Lennert Buytenhek | 06c03ca | 2005-11-07 21:12:07 +0000 | [diff] [blame] | 335 | z.__padding = 0; | 
| Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 336 | return z; | 
|  | 337 |  | 
|  | 338 | } | 
|  | 339 |  | 
|  | 340 | /* | 
|  | 341 | ------------------------------------------------------------------------------- | 
|  | 342 | Takes two extended double-precision floating-point values `a' and `b', one | 
|  | 343 | of which is a NaN, and returns the appropriate NaN result.  If either `a' or | 
|  | 344 | `b' is a signaling NaN, the invalid exception is raised. | 
|  | 345 | ------------------------------------------------------------------------------- | 
|  | 346 | */ | 
|  | 347 | static floatx80 propagateFloatx80NaN( floatx80 a, floatx80 b ) | 
|  | 348 | { | 
|  | 349 | flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN; | 
|  | 350 |  | 
|  | 351 | aIsNaN = floatx80_is_nan( a ); | 
|  | 352 | aIsSignalingNaN = floatx80_is_signaling_nan( a ); | 
|  | 353 | bIsNaN = floatx80_is_nan( b ); | 
|  | 354 | bIsSignalingNaN = floatx80_is_signaling_nan( b ); | 
|  | 355 | a.low |= LIT64( 0xC000000000000000 ); | 
|  | 356 | b.low |= LIT64( 0xC000000000000000 ); | 
|  | 357 | if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid ); | 
|  | 358 | if ( aIsNaN ) { | 
|  | 359 | return ( aIsSignalingNaN & bIsNaN ) ? b : a; | 
|  | 360 | } | 
|  | 361 | else { | 
|  | 362 | return b; | 
|  | 363 | } | 
|  | 364 |  | 
|  | 365 | } | 
|  | 366 |  | 
|  | 367 | #endif |