Update.
[glibc.git] / soft-fp / extended.h
blob2edcbd05f089d7c8c6b618d5d5ceaa2210ef3d28
1 /* Software floating-point emulation.
2 Definitions for IEEE Extended Precision.
3 Copyright (C) 1999 Free Software Foundation, Inc.
4 This file is part of the GNU C Library.
5 Contributed by Jakub Jelinek (jj@ultra.linux.cz).
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.
12 The GNU C Library is distributed in the hope that it will be useful,
13 but WITHOUT ANY WARRANTY; without even the implied warranty of
14 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
15 Lesser General Public License for more details.
17 You should have received a copy of the GNU Lesser General Public
18 License along with the GNU C Library; if not, write to the Free
19 Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
20 02111-1307 USA. */
22 #if _FP_W_TYPE_SIZE < 32
23 #error "Here's a nickel, kid. Go buy yourself a real computer."
24 #endif
26 #if _FP_W_TYPE_SIZE < 64
27 #define _FP_FRACTBITS_E (4*_FP_W_TYPE_SIZE)
28 #else
29 #define _FP_FRACTBITS_E (2*_FP_W_TYPE_SIZE)
30 #endif
32 #define _FP_FRACBITS_E 64
33 #define _FP_FRACXBITS_E (_FP_FRACTBITS_E - _FP_FRACBITS_E)
34 #define _FP_WFRACBITS_E (_FP_WORKBITS + _FP_FRACBITS_E)
35 #define _FP_WFRACXBITS_E (_FP_FRACTBITS_E - _FP_WFRACBITS_E)
36 #define _FP_EXPBITS_E 15
37 #define _FP_EXPBIAS_E 16383
38 #define _FP_EXPMAX_E 32767
40 #define _FP_QNANBIT_E \
41 ((_FP_W_TYPE)1 << (_FP_FRACBITS_E-2) % _FP_W_TYPE_SIZE)
42 #define _FP_IMPLBIT_E \
43 ((_FP_W_TYPE)1 << (_FP_FRACBITS_E-1) % _FP_W_TYPE_SIZE)
44 #define _FP_OVERFLOW_E \
45 ((_FP_W_TYPE)1 << (_FP_WFRACBITS_E % _FP_W_TYPE_SIZE))
47 #if _FP_W_TYPE_SIZE < 64
49 union _FP_UNION_E
51 long double flt;
52 struct
54 #if __BYTE_ORDER == __BIG_ENDIAN
55 unsigned long pad1 : _FP_W_TYPE_SIZE;
56 unsigned long pad2 : (_FP_W_TYPE_SIZE - 1 - _FP_EXPBITS_E);
57 unsigned long sign : 1;
58 unsigned long exp : _FP_EXPBITS_E;
59 unsigned long frac1 : _FP_W_TYPE_SIZE;
60 unsigned long frac0 : _FP_W_TYPE_SIZE;
61 #else
62 unsigned long frac0 : _FP_W_TYPE_SIZE;
63 unsigned long frac1 : _FP_W_TYPE_SIZE;
64 unsigned exp : _FP_EXPBITS_E;
65 unsigned sign : 1;
66 #endif /* not bigendian */
67 } bits __attribute__((packed));
71 #define FP_DECL_E(X) _FP_DECL(4,X)
73 #define FP_UNPACK_RAW_E(X, val) \
74 do { \
75 union _FP_UNION_E _flo; _flo.flt = (val); \
77 X##_f[2] = 0; X##_f[3] = 0; \
78 X##_f[0] = _flo.bits.frac0; \
79 X##_f[1] = _flo.bits.frac1; \
80 X##_e = _flo.bits.exp; \
81 X##_s = _flo.bits.sign; \
82 if (!X##_e && (X##_f[1] || X##_f[0]) \
83 && !(X##_f[1] & _FP_IMPLBIT_E)) \
84 { \
85 X##_e++; \
86 FP_SET_EXCEPTION(FP_EX_DENORM); \
87 } \
88 } while (0)
90 #define FP_UNPACK_RAW_EP(X, val) \
91 do { \
92 union _FP_UNION_E *_flo = \
93 (union _FP_UNION_E *)(val); \
95 X##_f[2] = 0; X##_f[3] = 0; \
96 X##_f[0] = _flo->bits.frac0; \
97 X##_f[1] = _flo->bits.frac1; \
98 X##_e = _flo->bits.exp; \
99 X##_s = _flo->bits.sign; \
100 if (!X##_e && (X##_f[1] || X##_f[0]) \
101 && !(X##_f[1] & _FP_IMPLBIT_E)) \
103 X##_e++; \
104 FP_SET_EXCEPTION(FP_EX_DENORM); \
106 } while (0)
108 #define FP_PACK_RAW_E(val, X) \
109 do { \
110 union _FP_UNION_E _flo; \
112 if (X##_e) X##_f[1] |= _FP_IMPLBIT_E; \
113 else X##_f[1] &= ~(_FP_IMPLBIT_E); \
114 _flo.bits.frac0 = X##_f[0]; \
115 _flo.bits.frac1 = X##_f[1]; \
116 _flo.bits.exp = X##_e; \
117 _flo.bits.sign = X##_s; \
119 (val) = _flo.flt; \
120 } while (0)
122 #define FP_PACK_RAW_EP(val, X) \
123 do { \
124 if (!FP_INHIBIT_RESULTS) \
126 union _FP_UNION_E *_flo = \
127 (union _FP_UNION_E *)(val); \
129 if (X##_e) X##_f[1] |= _FP_IMPLBIT_E; \
130 else X##_f[1] &= ~(_FP_IMPLBIT_E); \
131 _flo->bits.frac0 = X##_f[0]; \
132 _flo->bits.frac1 = X##_f[1]; \
133 _flo->bits.exp = X##_e; \
134 _flo->bits.sign = X##_s; \
136 } while (0)
138 #define FP_UNPACK_E(X,val) \
139 do { \
140 FP_UNPACK_RAW_E(X,val); \
141 _FP_UNPACK_CANONICAL(E,4,X); \
142 } while (0)
144 #define FP_UNPACK_EP(X,val) \
145 do { \
146 FP_UNPACK_RAW_2_P(X,val); \
147 _FP_UNPACK_CANONICAL(E,4,X); \
148 } while (0)
150 #define FP_PACK_E(val,X) \
151 do { \
152 _FP_PACK_CANONICAL(E,4,X); \
153 FP_PACK_RAW_E(val,X); \
154 } while (0)
156 #define FP_PACK_EP(val,X) \
157 do { \
158 _FP_PACK_CANONICAL(E,4,X); \
159 FP_PACK_RAW_EP(val,X); \
160 } while (0)
162 #define FP_ISSIGNAN_E(X) _FP_ISSIGNAN(E,4,X)
163 #define FP_NEG_E(R,X) _FP_NEG(E,4,R,X)
164 #define FP_ADD_E(R,X,Y) _FP_ADD(E,4,R,X,Y)
165 #define FP_SUB_E(R,X,Y) _FP_SUB(E,4,R,X,Y)
166 #define FP_MUL_E(R,X,Y) _FP_MUL(E,4,R,X,Y)
167 #define FP_DIV_E(R,X,Y) _FP_DIV(E,4,R,X,Y)
168 #define FP_SQRT_E(R,X) _FP_SQRT(E,4,R,X)
171 * Square root algorithms:
172 * We have just one right now, maybe Newton approximation
173 * should be added for those machines where division is fast.
174 * This has special _E version because standard _4 square
175 * root would not work (it has to start normally with the
176 * second word and not the first), but as we have to do it
177 * anyway, we optimize it by doing most of the calculations
178 * in two UWtype registers instead of four.
181 #define _FP_SQRT_MEAT_E(R, S, T, X, q) \
182 do { \
183 q = (_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE - 1); \
184 _FP_FRAC_SRL_4(X, (_FP_WORKBITS)); \
185 while (q) \
187 T##_f[1] = S##_f[1] + q; \
188 if (T##_f[1] <= X##_f[1]) \
190 S##_f[1] = T##_f[1] + q; \
191 X##_f[1] -= T##_f[1]; \
192 R##_f[1] += q; \
194 _FP_FRAC_SLL_2(X, 1); \
195 q >>= 1; \
197 q = (_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE - 1); \
198 while (q) \
200 T##_f[0] = S##_f[0] + q; \
201 T##_f[1] = S##_f[1]; \
202 if (T##_f[1] < X##_f[1] || \
203 (T##_f[1] == X##_f[1] && \
204 T##_f[0] <= X##_f[0])) \
206 S##_f[0] = T##_f[0] + q; \
207 S##_f[1] += (T##_f[0] > S##_f[0]); \
208 _FP_FRAC_DEC_2(X, T); \
209 R##_f[0] += q; \
211 _FP_FRAC_SLL_2(X, 1); \
212 q >>= 1; \
214 _FP_FRAC_SLL_4(R, (_FP_WORKBITS)); \
215 if (X##_f[0] | X##_f[1]) \
217 if (S##_f[1] < X##_f[1] || \
218 (S##_f[1] == X##_f[1] && \
219 S##_f[0] < X##_f[0])) \
220 R##_f[0] |= _FP_WORK_ROUND; \
221 R##_f[0] |= _FP_WORK_STICKY; \
223 } while (0)
225 #define FP_CMP_E(r,X,Y,un) _FP_CMP(E,4,r,X,Y,un)
226 #define FP_CMP_EQ_E(r,X,Y) _FP_CMP_EQ(E,4,r,X,Y)
228 #define FP_TO_INT_E(r,X,rsz,rsg) _FP_TO_INT(E,4,r,X,rsz,rsg)
229 #define FP_FROM_INT_E(X,r,rs,rt) _FP_FROM_INT(E,4,X,r,rs,rt)
231 #define _FP_FRAC_HIGH_E(X) (X##_f[2])
232 #define _FP_FRAC_HIGH_RAW_E(X) (X##_f[1])
234 #else /* not _FP_W_TYPE_SIZE < 64 */
235 union _FP_UNION_E
237 long double flt /* __attribute__((mode(TF))) */ ;
238 struct {
239 #if __BYTE_ORDER == __BIG_ENDIAN
240 unsigned long pad : (_FP_W_TYPE_SIZE - 1 - _FP_EXPBITS_E);
241 unsigned sign : 1;
242 unsigned exp : _FP_EXPBITS_E;
243 unsigned long frac : _FP_W_TYPE_SIZE;
244 #else
245 unsigned long frac : _FP_W_TYPE_SIZE;
246 unsigned exp : _FP_EXPBITS_E;
247 unsigned sign : 1;
248 #endif
249 } bits;
252 #define FP_DECL_E(X) _FP_DECL(2,X)
254 #define FP_UNPACK_RAW_E(X, val) \
255 do { \
256 union _FP_UNION_E _flo; _flo.flt = (val); \
258 X##_f0 = _flo.bits.frac; \
259 X##_f1 = 0; \
260 X##_e = _flo.bits.exp; \
261 X##_s = _flo.bits.sign; \
262 if (!X##_e && X##_f0 && !(X##_f0 & _FP_IMPLBIT_E)) \
264 X##_e++; \
265 FP_SET_EXCEPTION(FP_EX_DENORM); \
267 } while (0)
269 #define FP_UNPACK_RAW_EP(X, val) \
270 do { \
271 union _FP_UNION_E *_flo = \
272 (union _FP_UNION_E *)(val); \
274 X##_f0 = _flo->bits.frac; \
275 X##_f1 = 0; \
276 X##_e = _flo->bits.exp; \
277 X##_s = _flo->bits.sign; \
278 if (!X##_e && X##_f0 && !(X##_f0 & _FP_IMPLBIT_E)) \
280 X##_e++; \
281 FP_SET_EXCEPTION(FP_EX_DENORM); \
283 } while (0)
285 #define FP_PACK_RAW_E(val, X) \
286 do { \
287 union _FP_UNION_E _flo; \
289 if (X##_e) X##_f0 |= _FP_IMPLBIT_E; \
290 else X##_f0 &= ~(_FP_IMPLBIT_E); \
291 _flo.bits.frac = X##_f0; \
292 _flo.bits.exp = X##_e; \
293 _flo.bits.sign = X##_s; \
295 (val) = _flo.flt; \
296 } while (0)
298 #define FP_PACK_RAW_EP(fs, val, X) \
299 do { \
300 if (!FP_INHIBIT_RESULTS) \
302 union _FP_UNION_E *_flo = \
303 (union _FP_UNION_E *)(val); \
305 if (X##_e) X##_f0 |= _FP_IMPLBIT_E; \
306 else X##_f0 &= ~(_FP_IMPLBIT_E); \
307 _flo->bits.frac = X##_f0; \
308 _flo->bits.exp = X##_e; \
309 _flo->bits.sign = X##_s; \
311 } while (0)
314 #define FP_UNPACK_E(X,val) \
315 do { \
316 FP_UNPACK_RAW_E(X,val); \
317 _FP_UNPACK_CANONICAL(E,2,X); \
318 } while (0)
320 #define FP_UNPACK_EP(X,val) \
321 do { \
322 FP_UNPACK_RAW_EP(X,val); \
323 _FP_UNPACK_CANONICAL(E,2,X); \
324 } while (0)
326 #define FP_PACK_E(val,X) \
327 do { \
328 _FP_PACK_CANONICAL(E,2,X); \
329 FP_PACK_RAW_E(val,X); \
330 } while (0)
332 #define FP_PACK_EP(val,X) \
333 do { \
334 _FP_PACK_CANONICAL(E,2,X); \
335 FP_PACK_RAW_EP(val,X); \
336 } while (0)
338 #define FP_ISSIGNAN_E(X) _FP_ISSIGNAN(E,2,X)
339 #define FP_NEG_E(R,X) _FP_NEG(E,2,R,X)
340 #define FP_ADD_E(R,X,Y) _FP_ADD(E,2,R,X,Y)
341 #define FP_SUB_E(R,X,Y) _FP_SUB(E,2,R,X,Y)
342 #define FP_MUL_E(R,X,Y) _FP_MUL(E,2,R,X,Y)
343 #define FP_DIV_E(R,X,Y) _FP_DIV(E,2,R,X,Y)
344 #define FP_SQRT_E(R,X) _FP_SQRT(E,2,R,X)
347 * Square root algorithms:
348 * We have just one right now, maybe Newton approximation
349 * should be added for those machines where division is fast.
350 * We optimize it by doing most of the calculations
351 * in one UWtype registers instead of two, although we don't
352 * have to.
354 #define _FP_SQRT_MEAT_E(R, S, T, X, q) \
355 do { \
356 q = (_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE - 1); \
357 _FP_FRAC_SRL_2(X, (_FP_WORKBITS)); \
358 while (q) \
360 T##_f0 = S##_f0 + q; \
361 if (T##_f0 <= X##_f0) \
363 S##_f0 = T##_f0 + q; \
364 X##_f0 -= T##_f0; \
365 R##_f0 += q; \
367 _FP_FRAC_SLL_1(X, 1); \
368 q >>= 1; \
370 _FP_FRAC_SLL_2(R, (_FP_WORKBITS)); \
371 if (X##_f0) \
373 if (S##_f0 < X##_f0) \
374 R##_f0 |= _FP_WORK_ROUND; \
375 R##_f0 |= _FP_WORK_STICKY; \
377 } while (0)
379 #define FP_CMP_E(r,X,Y,un) _FP_CMP(E,2,r,X,Y,un)
380 #define FP_CMP_EQ_E(r,X,Y) _FP_CMP_EQ(E,2,r,X,Y)
382 #define FP_TO_INT_E(r,X,rsz,rsg) _FP_TO_INT(E,2,r,X,rsz,rsg)
383 #define FP_FROM_INT_E(X,r,rs,rt) _FP_FROM_INT(E,2,X,r,rs,rt)
385 #define _FP_FRAC_HIGH_E(X) (X##_f1)
386 #define _FP_FRAC_HIGH_RAW_E(X) (X##_f0)
388 #endif /* not _FP_W_TYPE_SIZE < 64 */