| 1 |
38 |
julius |
/* Software floating-point emulation.
|
| 2 |
|
|
Definitions for IEEE Extended Precision.
|
| 3 |
|
|
Copyright (C) 1999,2006,2007 Free Software Foundation, Inc.
|
| 4 |
|
|
This file is part of the GNU C Library.
|
| 5 |
|
|
Contributed by Jakub Jelinek (jj@ultra.linux.cz).
|
| 6 |
|
|
|
| 7 |
|
|
The GNU C Library is free software; you can redistribute it and/or
|
| 8 |
|
|
modify it under the terms of the GNU Lesser General Public
|
| 9 |
|
|
License as published by the Free Software Foundation; either
|
| 10 |
|
|
version 2.1 of the License, or (at your option) any later version.
|
| 11 |
|
|
|
| 12 |
|
|
In addition to the permissions in the GNU Lesser General Public
|
| 13 |
|
|
License, the Free Software Foundation gives you unlimited
|
| 14 |
|
|
permission to link the compiled version of this file into
|
| 15 |
|
|
combinations with other programs, and to distribute those
|
| 16 |
|
|
combinations without any restriction coming from the use of this
|
| 17 |
|
|
file. (The Lesser General Public License restrictions do apply in
|
| 18 |
|
|
other respects; for example, they cover modification of the file,
|
| 19 |
|
|
and distribution when not linked into a combine executable.)
|
| 20 |
|
|
|
| 21 |
|
|
The GNU C Library is distributed in the hope that it will be useful,
|
| 22 |
|
|
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
| 23 |
|
|
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
|
| 24 |
|
|
Lesser General Public License for more details.
|
| 25 |
|
|
|
| 26 |
|
|
You should have received a copy of the GNU Lesser General Public
|
| 27 |
|
|
License along with the GNU C Library; if not, write to the Free
|
| 28 |
|
|
Software Foundation, 51 Franklin Street, Fifth Floor, Boston,
|
| 29 |
|
|
MA 02110-1301, USA. */
|
| 30 |
|
|
|
| 31 |
|
|
#if _FP_W_TYPE_SIZE < 32
|
| 32 |
|
|
#error "Here's a nickel, kid. Go buy yourself a real computer."
|
| 33 |
|
|
#endif
|
| 34 |
|
|
|
| 35 |
|
|
#if _FP_W_TYPE_SIZE < 64
|
| 36 |
|
|
#define _FP_FRACTBITS_E (4*_FP_W_TYPE_SIZE)
|
| 37 |
|
|
#else
|
| 38 |
|
|
#define _FP_FRACTBITS_E (2*_FP_W_TYPE_SIZE)
|
| 39 |
|
|
#endif
|
| 40 |
|
|
|
| 41 |
|
|
#define _FP_FRACBITS_E 64
|
| 42 |
|
|
#define _FP_FRACXBITS_E (_FP_FRACTBITS_E - _FP_FRACBITS_E)
|
| 43 |
|
|
#define _FP_WFRACBITS_E (_FP_WORKBITS + _FP_FRACBITS_E)
|
| 44 |
|
|
#define _FP_WFRACXBITS_E (_FP_FRACTBITS_E - _FP_WFRACBITS_E)
|
| 45 |
|
|
#define _FP_EXPBITS_E 15
|
| 46 |
|
|
#define _FP_EXPBIAS_E 16383
|
| 47 |
|
|
#define _FP_EXPMAX_E 32767
|
| 48 |
|
|
|
| 49 |
|
|
#define _FP_QNANBIT_E \
|
| 50 |
|
|
((_FP_W_TYPE)1 << (_FP_FRACBITS_E-2) % _FP_W_TYPE_SIZE)
|
| 51 |
|
|
#define _FP_QNANBIT_SH_E \
|
| 52 |
|
|
((_FP_W_TYPE)1 << (_FP_FRACBITS_E-2+_FP_WORKBITS) % _FP_W_TYPE_SIZE)
|
| 53 |
|
|
#define _FP_IMPLBIT_E \
|
| 54 |
|
|
((_FP_W_TYPE)1 << (_FP_FRACBITS_E-1) % _FP_W_TYPE_SIZE)
|
| 55 |
|
|
#define _FP_IMPLBIT_SH_E \
|
| 56 |
|
|
((_FP_W_TYPE)1 << (_FP_FRACBITS_E-1+_FP_WORKBITS) % _FP_W_TYPE_SIZE)
|
| 57 |
|
|
#define _FP_OVERFLOW_E \
|
| 58 |
|
|
((_FP_W_TYPE)1 << (_FP_WFRACBITS_E % _FP_W_TYPE_SIZE))
|
| 59 |
|
|
|
| 60 |
|
|
typedef float XFtype __attribute__((mode(XF)));
|
| 61 |
|
|
|
| 62 |
|
|
#if _FP_W_TYPE_SIZE < 64
|
| 63 |
|
|
|
| 64 |
|
|
union _FP_UNION_E
|
| 65 |
|
|
{
|
| 66 |
|
|
XFtype flt;
|
| 67 |
|
|
struct
|
| 68 |
|
|
{
|
| 69 |
|
|
#if __BYTE_ORDER == __BIG_ENDIAN
|
| 70 |
|
|
unsigned long pad1 : _FP_W_TYPE_SIZE;
|
| 71 |
|
|
unsigned long pad2 : (_FP_W_TYPE_SIZE - 1 - _FP_EXPBITS_E);
|
| 72 |
|
|
unsigned long sign : 1;
|
| 73 |
|
|
unsigned long exp : _FP_EXPBITS_E;
|
| 74 |
|
|
unsigned long frac1 : _FP_W_TYPE_SIZE;
|
| 75 |
|
|
unsigned long frac0 : _FP_W_TYPE_SIZE;
|
| 76 |
|
|
#else
|
| 77 |
|
|
unsigned long frac0 : _FP_W_TYPE_SIZE;
|
| 78 |
|
|
unsigned long frac1 : _FP_W_TYPE_SIZE;
|
| 79 |
|
|
unsigned exp : _FP_EXPBITS_E;
|
| 80 |
|
|
unsigned sign : 1;
|
| 81 |
|
|
#endif /* not bigendian */
|
| 82 |
|
|
} bits __attribute__((packed));
|
| 83 |
|
|
};
|
| 84 |
|
|
|
| 85 |
|
|
|
| 86 |
|
|
#define FP_DECL_E(X) _FP_DECL(4,X)
|
| 87 |
|
|
|
| 88 |
|
|
#define FP_UNPACK_RAW_E(X, val) \
|
| 89 |
|
|
do { \
|
| 90 |
|
|
union _FP_UNION_E _flo; _flo.flt = (val); \
|
| 91 |
|
|
\
|
| 92 |
|
|
X##_f[2] = 0; X##_f[3] = 0; \
|
| 93 |
|
|
X##_f[0] = _flo.bits.frac0; \
|
| 94 |
|
|
X##_f[1] = _flo.bits.frac1; \
|
| 95 |
|
|
X##_e = _flo.bits.exp; \
|
| 96 |
|
|
X##_s = _flo.bits.sign; \
|
| 97 |
|
|
} while (0)
|
| 98 |
|
|
|
| 99 |
|
|
#define FP_UNPACK_RAW_EP(X, val) \
|
| 100 |
|
|
do { \
|
| 101 |
|
|
union _FP_UNION_E *_flo = \
|
| 102 |
|
|
(union _FP_UNION_E *)(val); \
|
| 103 |
|
|
\
|
| 104 |
|
|
X##_f[2] = 0; X##_f[3] = 0; \
|
| 105 |
|
|
X##_f[0] = _flo->bits.frac0; \
|
| 106 |
|
|
X##_f[1] = _flo->bits.frac1; \
|
| 107 |
|
|
X##_e = _flo->bits.exp; \
|
| 108 |
|
|
X##_s = _flo->bits.sign; \
|
| 109 |
|
|
} while (0)
|
| 110 |
|
|
|
| 111 |
|
|
#define FP_PACK_RAW_E(val, X) \
|
| 112 |
|
|
do { \
|
| 113 |
|
|
union _FP_UNION_E _flo; \
|
| 114 |
|
|
\
|
| 115 |
|
|
if (X##_e) X##_f[1] |= _FP_IMPLBIT_E; \
|
| 116 |
|
|
else X##_f[1] &= ~(_FP_IMPLBIT_E); \
|
| 117 |
|
|
_flo.bits.frac0 = X##_f[0]; \
|
| 118 |
|
|
_flo.bits.frac1 = X##_f[1]; \
|
| 119 |
|
|
_flo.bits.exp = X##_e; \
|
| 120 |
|
|
_flo.bits.sign = X##_s; \
|
| 121 |
|
|
\
|
| 122 |
|
|
(val) = _flo.flt; \
|
| 123 |
|
|
} while (0)
|
| 124 |
|
|
|
| 125 |
|
|
#define FP_PACK_RAW_EP(val, X) \
|
| 126 |
|
|
do { \
|
| 127 |
|
|
if (!FP_INHIBIT_RESULTS) \
|
| 128 |
|
|
{ \
|
| 129 |
|
|
union _FP_UNION_E *_flo = \
|
| 130 |
|
|
(union _FP_UNION_E *)(val); \
|
| 131 |
|
|
\
|
| 132 |
|
|
if (X##_e) X##_f[1] |= _FP_IMPLBIT_E; \
|
| 133 |
|
|
else X##_f[1] &= ~(_FP_IMPLBIT_E); \
|
| 134 |
|
|
_flo->bits.frac0 = X##_f[0]; \
|
| 135 |
|
|
_flo->bits.frac1 = X##_f[1]; \
|
| 136 |
|
|
_flo->bits.exp = X##_e; \
|
| 137 |
|
|
_flo->bits.sign = X##_s; \
|
| 138 |
|
|
} \
|
| 139 |
|
|
} while (0)
|
| 140 |
|
|
|
| 141 |
|
|
#define FP_UNPACK_E(X,val) \
|
| 142 |
|
|
do { \
|
| 143 |
|
|
FP_UNPACK_RAW_E(X,val); \
|
| 144 |
|
|
_FP_UNPACK_CANONICAL(E,4,X); \
|
| 145 |
|
|
} while (0)
|
| 146 |
|
|
|
| 147 |
|
|
#define FP_UNPACK_EP(X,val) \
|
| 148 |
|
|
do { \
|
| 149 |
|
|
FP_UNPACK_RAW_EP(X,val); \
|
| 150 |
|
|
_FP_UNPACK_CANONICAL(E,4,X); \
|
| 151 |
|
|
} while (0)
|
| 152 |
|
|
|
| 153 |
|
|
#define FP_UNPACK_SEMIRAW_E(X,val) \
|
| 154 |
|
|
do { \
|
| 155 |
|
|
FP_UNPACK_RAW_E(X,val); \
|
| 156 |
|
|
_FP_UNPACK_SEMIRAW(E,4,X); \
|
| 157 |
|
|
} while (0)
|
| 158 |
|
|
|
| 159 |
|
|
#define FP_UNPACK_SEMIRAW_EP(X,val) \
|
| 160 |
|
|
do { \
|
| 161 |
|
|
FP_UNPACK_RAW_EP(X,val); \
|
| 162 |
|
|
_FP_UNPACK_SEMIRAW(E,4,X); \
|
| 163 |
|
|
} while (0)
|
| 164 |
|
|
|
| 165 |
|
|
#define FP_PACK_E(val,X) \
|
| 166 |
|
|
do { \
|
| 167 |
|
|
_FP_PACK_CANONICAL(E,4,X); \
|
| 168 |
|
|
FP_PACK_RAW_E(val,X); \
|
| 169 |
|
|
} while (0)
|
| 170 |
|
|
|
| 171 |
|
|
#define FP_PACK_EP(val,X) \
|
| 172 |
|
|
do { \
|
| 173 |
|
|
_FP_PACK_CANONICAL(E,4,X); \
|
| 174 |
|
|
FP_PACK_RAW_EP(val,X); \
|
| 175 |
|
|
} while (0)
|
| 176 |
|
|
|
| 177 |
|
|
#define FP_PACK_SEMIRAW_E(val,X) \
|
| 178 |
|
|
do { \
|
| 179 |
|
|
_FP_PACK_SEMIRAW(E,4,X); \
|
| 180 |
|
|
FP_PACK_RAW_E(val,X); \
|
| 181 |
|
|
} while (0)
|
| 182 |
|
|
|
| 183 |
|
|
#define FP_PACK_SEMIRAW_EP(val,X) \
|
| 184 |
|
|
do { \
|
| 185 |
|
|
_FP_PACK_SEMIRAW(E,4,X); \
|
| 186 |
|
|
FP_PACK_RAW_EP(val,X); \
|
| 187 |
|
|
} while (0)
|
| 188 |
|
|
|
| 189 |
|
|
#define FP_ISSIGNAN_E(X) _FP_ISSIGNAN(E,4,X)
|
| 190 |
|
|
#define FP_NEG_E(R,X) _FP_NEG(E,4,R,X)
|
| 191 |
|
|
#define FP_ADD_E(R,X,Y) _FP_ADD(E,4,R,X,Y)
|
| 192 |
|
|
#define FP_SUB_E(R,X,Y) _FP_SUB(E,4,R,X,Y)
|
| 193 |
|
|
#define FP_MUL_E(R,X,Y) _FP_MUL(E,4,R,X,Y)
|
| 194 |
|
|
#define FP_DIV_E(R,X,Y) _FP_DIV(E,4,R,X,Y)
|
| 195 |
|
|
#define FP_SQRT_E(R,X) _FP_SQRT(E,4,R,X)
|
| 196 |
|
|
|
| 197 |
|
|
/*
|
| 198 |
|
|
* Square root algorithms:
|
| 199 |
|
|
* We have just one right now, maybe Newton approximation
|
| 200 |
|
|
* should be added for those machines where division is fast.
|
| 201 |
|
|
* This has special _E version because standard _4 square
|
| 202 |
|
|
* root would not work (it has to start normally with the
|
| 203 |
|
|
* second word and not the first), but as we have to do it
|
| 204 |
|
|
* anyway, we optimize it by doing most of the calculations
|
| 205 |
|
|
* in two UWtype registers instead of four.
|
| 206 |
|
|
*/
|
| 207 |
|
|
|
| 208 |
|
|
#define _FP_SQRT_MEAT_E(R, S, T, X, q) \
|
| 209 |
|
|
do { \
|
| 210 |
|
|
q = (_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE - 1); \
|
| 211 |
|
|
_FP_FRAC_SRL_4(X, (_FP_WORKBITS)); \
|
| 212 |
|
|
while (q) \
|
| 213 |
|
|
{ \
|
| 214 |
|
|
T##_f[1] = S##_f[1] + q; \
|
| 215 |
|
|
if (T##_f[1] <= X##_f[1]) \
|
| 216 |
|
|
{ \
|
| 217 |
|
|
S##_f[1] = T##_f[1] + q; \
|
| 218 |
|
|
X##_f[1] -= T##_f[1]; \
|
| 219 |
|
|
R##_f[1] += q; \
|
| 220 |
|
|
} \
|
| 221 |
|
|
_FP_FRAC_SLL_2(X, 1); \
|
| 222 |
|
|
q >>= 1; \
|
| 223 |
|
|
} \
|
| 224 |
|
|
q = (_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE - 1); \
|
| 225 |
|
|
while (q) \
|
| 226 |
|
|
{ \
|
| 227 |
|
|
T##_f[0] = S##_f[0] + q; \
|
| 228 |
|
|
T##_f[1] = S##_f[1]; \
|
| 229 |
|
|
if (T##_f[1] < X##_f[1] || \
|
| 230 |
|
|
(T##_f[1] == X##_f[1] && \
|
| 231 |
|
|
T##_f[0] <= X##_f[0])) \
|
| 232 |
|
|
{ \
|
| 233 |
|
|
S##_f[0] = T##_f[0] + q; \
|
| 234 |
|
|
S##_f[1] += (T##_f[0] > S##_f[0]); \
|
| 235 |
|
|
_FP_FRAC_DEC_2(X, T); \
|
| 236 |
|
|
R##_f[0] += q; \
|
| 237 |
|
|
} \
|
| 238 |
|
|
_FP_FRAC_SLL_2(X, 1); \
|
| 239 |
|
|
q >>= 1; \
|
| 240 |
|
|
} \
|
| 241 |
|
|
_FP_FRAC_SLL_4(R, (_FP_WORKBITS)); \
|
| 242 |
|
|
if (X##_f[0] | X##_f[1]) \
|
| 243 |
|
|
{ \
|
| 244 |
|
|
if (S##_f[1] < X##_f[1] || \
|
| 245 |
|
|
(S##_f[1] == X##_f[1] && \
|
| 246 |
|
|
S##_f[0] < X##_f[0])) \
|
| 247 |
|
|
R##_f[0] |= _FP_WORK_ROUND; \
|
| 248 |
|
|
R##_f[0] |= _FP_WORK_STICKY; \
|
| 249 |
|
|
} \
|
| 250 |
|
|
} while (0)
|
| 251 |
|
|
|
| 252 |
|
|
#define FP_CMP_E(r,X,Y,un) _FP_CMP(E,4,r,X,Y,un)
|
| 253 |
|
|
#define FP_CMP_EQ_E(r,X,Y) _FP_CMP_EQ(E,4,r,X,Y)
|
| 254 |
|
|
#define FP_CMP_UNORD_E(r,X,Y) _FP_CMP_UNORD(E,4,r,X,Y)
|
| 255 |
|
|
|
| 256 |
|
|
#define FP_TO_INT_E(r,X,rsz,rsg) _FP_TO_INT(E,4,r,X,rsz,rsg)
|
| 257 |
|
|
#define FP_FROM_INT_E(X,r,rs,rt) _FP_FROM_INT(E,4,X,r,rs,rt)
|
| 258 |
|
|
|
| 259 |
|
|
#define _FP_FRAC_HIGH_E(X) (X##_f[2])
|
| 260 |
|
|
#define _FP_FRAC_HIGH_RAW_E(X) (X##_f[1])
|
| 261 |
|
|
|
| 262 |
|
|
#else /* not _FP_W_TYPE_SIZE < 64 */
|
| 263 |
|
|
union _FP_UNION_E
|
| 264 |
|
|
{
|
| 265 |
|
|
XFtype flt;
|
| 266 |
|
|
struct {
|
| 267 |
|
|
#if __BYTE_ORDER == __BIG_ENDIAN
|
| 268 |
|
|
_FP_W_TYPE pad : (_FP_W_TYPE_SIZE - 1 - _FP_EXPBITS_E);
|
| 269 |
|
|
unsigned sign : 1;
|
| 270 |
|
|
unsigned exp : _FP_EXPBITS_E;
|
| 271 |
|
|
_FP_W_TYPE frac : _FP_W_TYPE_SIZE;
|
| 272 |
|
|
#else
|
| 273 |
|
|
_FP_W_TYPE frac : _FP_W_TYPE_SIZE;
|
| 274 |
|
|
unsigned exp : _FP_EXPBITS_E;
|
| 275 |
|
|
unsigned sign : 1;
|
| 276 |
|
|
#endif
|
| 277 |
|
|
} bits;
|
| 278 |
|
|
};
|
| 279 |
|
|
|
| 280 |
|
|
#define FP_DECL_E(X) _FP_DECL(2,X)
|
| 281 |
|
|
|
| 282 |
|
|
#define FP_UNPACK_RAW_E(X, val) \
|
| 283 |
|
|
do { \
|
| 284 |
|
|
union _FP_UNION_E _flo; _flo.flt = (val); \
|
| 285 |
|
|
\
|
| 286 |
|
|
X##_f0 = _flo.bits.frac; \
|
| 287 |
|
|
X##_f1 = 0; \
|
| 288 |
|
|
X##_e = _flo.bits.exp; \
|
| 289 |
|
|
X##_s = _flo.bits.sign; \
|
| 290 |
|
|
} while (0)
|
| 291 |
|
|
|
| 292 |
|
|
#define FP_UNPACK_RAW_EP(X, val) \
|
| 293 |
|
|
do { \
|
| 294 |
|
|
union _FP_UNION_E *_flo = \
|
| 295 |
|
|
(union _FP_UNION_E *)(val); \
|
| 296 |
|
|
\
|
| 297 |
|
|
X##_f0 = _flo->bits.frac; \
|
| 298 |
|
|
X##_f1 = 0; \
|
| 299 |
|
|
X##_e = _flo->bits.exp; \
|
| 300 |
|
|
X##_s = _flo->bits.sign; \
|
| 301 |
|
|
} while (0)
|
| 302 |
|
|
|
| 303 |
|
|
#define FP_PACK_RAW_E(val, X) \
|
| 304 |
|
|
do { \
|
| 305 |
|
|
union _FP_UNION_E _flo; \
|
| 306 |
|
|
\
|
| 307 |
|
|
if (X##_e) X##_f0 |= _FP_IMPLBIT_E; \
|
| 308 |
|
|
else X##_f0 &= ~(_FP_IMPLBIT_E); \
|
| 309 |
|
|
_flo.bits.frac = X##_f0; \
|
| 310 |
|
|
_flo.bits.exp = X##_e; \
|
| 311 |
|
|
_flo.bits.sign = X##_s; \
|
| 312 |
|
|
\
|
| 313 |
|
|
(val) = _flo.flt; \
|
| 314 |
|
|
} while (0)
|
| 315 |
|
|
|
| 316 |
|
|
#define FP_PACK_RAW_EP(fs, val, X) \
|
| 317 |
|
|
do { \
|
| 318 |
|
|
if (!FP_INHIBIT_RESULTS) \
|
| 319 |
|
|
{ \
|
| 320 |
|
|
union _FP_UNION_E *_flo = \
|
| 321 |
|
|
(union _FP_UNION_E *)(val); \
|
| 322 |
|
|
\
|
| 323 |
|
|
if (X##_e) X##_f0 |= _FP_IMPLBIT_E; \
|
| 324 |
|
|
else X##_f0 &= ~(_FP_IMPLBIT_E); \
|
| 325 |
|
|
_flo->bits.frac = X##_f0; \
|
| 326 |
|
|
_flo->bits.exp = X##_e; \
|
| 327 |
|
|
_flo->bits.sign = X##_s; \
|
| 328 |
|
|
} \
|
| 329 |
|
|
} while (0)
|
| 330 |
|
|
|
| 331 |
|
|
|
| 332 |
|
|
#define FP_UNPACK_E(X,val) \
|
| 333 |
|
|
do { \
|
| 334 |
|
|
FP_UNPACK_RAW_E(X,val); \
|
| 335 |
|
|
_FP_UNPACK_CANONICAL(E,2,X); \
|
| 336 |
|
|
} while (0)
|
| 337 |
|
|
|
| 338 |
|
|
#define FP_UNPACK_EP(X,val) \
|
| 339 |
|
|
do { \
|
| 340 |
|
|
FP_UNPACK_RAW_EP(X,val); \
|
| 341 |
|
|
_FP_UNPACK_CANONICAL(E,2,X); \
|
| 342 |
|
|
} while (0)
|
| 343 |
|
|
|
| 344 |
|
|
#define FP_UNPACK_SEMIRAW_E(X,val) \
|
| 345 |
|
|
do { \
|
| 346 |
|
|
FP_UNPACK_RAW_E(X,val); \
|
| 347 |
|
|
_FP_UNPACK_SEMIRAW(E,2,X); \
|
| 348 |
|
|
} while (0)
|
| 349 |
|
|
|
| 350 |
|
|
#define FP_UNPACK_SEMIRAW_EP(X,val) \
|
| 351 |
|
|
do { \
|
| 352 |
|
|
FP_UNPACK_RAW_EP(X,val); \
|
| 353 |
|
|
_FP_UNPACK_SEMIRAW(E,2,X); \
|
| 354 |
|
|
} while (0)
|
| 355 |
|
|
|
| 356 |
|
|
#define FP_PACK_E(val,X) \
|
| 357 |
|
|
do { \
|
| 358 |
|
|
_FP_PACK_CANONICAL(E,2,X); \
|
| 359 |
|
|
FP_PACK_RAW_E(val,X); \
|
| 360 |
|
|
} while (0)
|
| 361 |
|
|
|
| 362 |
|
|
#define FP_PACK_EP(val,X) \
|
| 363 |
|
|
do { \
|
| 364 |
|
|
_FP_PACK_CANONICAL(E,2,X); \
|
| 365 |
|
|
FP_PACK_RAW_EP(val,X); \
|
| 366 |
|
|
} while (0)
|
| 367 |
|
|
|
| 368 |
|
|
#define FP_PACK_SEMIRAW_E(val,X) \
|
| 369 |
|
|
do { \
|
| 370 |
|
|
_FP_PACK_SEMIRAW(E,2,X); \
|
| 371 |
|
|
FP_PACK_RAW_E(val,X); \
|
| 372 |
|
|
} while (0)
|
| 373 |
|
|
|
| 374 |
|
|
#define FP_PACK_SEMIRAW_EP(val,X) \
|
| 375 |
|
|
do { \
|
| 376 |
|
|
_FP_PACK_SEMIRAW(E,2,X); \
|
| 377 |
|
|
FP_PACK_RAW_EP(val,X); \
|
| 378 |
|
|
} while (0)
|
| 379 |
|
|
|
| 380 |
|
|
#define FP_ISSIGNAN_E(X) _FP_ISSIGNAN(E,2,X)
|
| 381 |
|
|
#define FP_NEG_E(R,X) _FP_NEG(E,2,R,X)
|
| 382 |
|
|
#define FP_ADD_E(R,X,Y) _FP_ADD(E,2,R,X,Y)
|
| 383 |
|
|
#define FP_SUB_E(R,X,Y) _FP_SUB(E,2,R,X,Y)
|
| 384 |
|
|
#define FP_MUL_E(R,X,Y) _FP_MUL(E,2,R,X,Y)
|
| 385 |
|
|
#define FP_DIV_E(R,X,Y) _FP_DIV(E,2,R,X,Y)
|
| 386 |
|
|
#define FP_SQRT_E(R,X) _FP_SQRT(E,2,R,X)
|
| 387 |
|
|
|
| 388 |
|
|
/*
|
| 389 |
|
|
* Square root algorithms:
|
| 390 |
|
|
* We have just one right now, maybe Newton approximation
|
| 391 |
|
|
* should be added for those machines where division is fast.
|
| 392 |
|
|
* We optimize it by doing most of the calculations
|
| 393 |
|
|
* in one UWtype registers instead of two, although we don't
|
| 394 |
|
|
* have to.
|
| 395 |
|
|
*/
|
| 396 |
|
|
#define _FP_SQRT_MEAT_E(R, S, T, X, q) \
|
| 397 |
|
|
do { \
|
| 398 |
|
|
q = (_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE - 1); \
|
| 399 |
|
|
_FP_FRAC_SRL_2(X, (_FP_WORKBITS)); \
|
| 400 |
|
|
while (q) \
|
| 401 |
|
|
{ \
|
| 402 |
|
|
T##_f0 = S##_f0 + q; \
|
| 403 |
|
|
if (T##_f0 <= X##_f0) \
|
| 404 |
|
|
{ \
|
| 405 |
|
|
S##_f0 = T##_f0 + q; \
|
| 406 |
|
|
X##_f0 -= T##_f0; \
|
| 407 |
|
|
R##_f0 += q; \
|
| 408 |
|
|
} \
|
| 409 |
|
|
_FP_FRAC_SLL_1(X, 1); \
|
| 410 |
|
|
q >>= 1; \
|
| 411 |
|
|
} \
|
| 412 |
|
|
_FP_FRAC_SLL_2(R, (_FP_WORKBITS)); \
|
| 413 |
|
|
if (X##_f0) \
|
| 414 |
|
|
{ \
|
| 415 |
|
|
if (S##_f0 < X##_f0) \
|
| 416 |
|
|
R##_f0 |= _FP_WORK_ROUND; \
|
| 417 |
|
|
R##_f0 |= _FP_WORK_STICKY; \
|
| 418 |
|
|
} \
|
| 419 |
|
|
} while (0)
|
| 420 |
|
|
|
| 421 |
|
|
#define FP_CMP_E(r,X,Y,un) _FP_CMP(E,2,r,X,Y,un)
|
| 422 |
|
|
#define FP_CMP_EQ_E(r,X,Y) _FP_CMP_EQ(E,2,r,X,Y)
|
| 423 |
|
|
#define FP_CMP_UNORD_E(r,X,Y) _FP_CMP_UNORD(E,2,r,X,Y)
|
| 424 |
|
|
|
| 425 |
|
|
#define FP_TO_INT_E(r,X,rsz,rsg) _FP_TO_INT(E,2,r,X,rsz,rsg)
|
| 426 |
|
|
#define FP_FROM_INT_E(X,r,rs,rt) _FP_FROM_INT(E,2,X,r,rs,rt)
|
| 427 |
|
|
|
| 428 |
|
|
#define _FP_FRAC_HIGH_E(X) (X##_f1)
|
| 429 |
|
|
#define _FP_FRAC_HIGH_RAW_E(X) (X##_f0)
|
| 430 |
|
|
|
| 431 |
|
|
#endif /* not _FP_W_TYPE_SIZE < 64 */
|
