1 /* Software floating-point emulation.
2    Definitions for IEEE Quad Precision.
3    Copyright (C) 1997-2016 Free Software Foundation, Inc.
4    This file is part of the GNU C Library.
5    Contributed by Richard Henderson (rth@cygnus.com),
6 		  Jakub Jelinek (jj@ultra.linux.cz),
7 		  David S. Miller (davem@redhat.com) and
8 		  Peter Maydell (pmaydell@chiark.greenend.org.uk).
9 
10    The GNU C Library is free software; you can redistribute it and/or
11    modify it under the terms of the GNU Lesser General Public
12    License as published by the Free Software Foundation; either
13    version 2.1 of the License, or (at your option) any later version.
14 
15    In addition to the permissions in the GNU Lesser General Public
16    License, the Free Software Foundation gives you unlimited
17    permission to link the compiled version of this file into
18    combinations with other programs, and to distribute those
19    combinations without any restriction coming from the use of this
20    file.  (The Lesser General Public License restrictions do apply in
21    other respects; for example, they cover modification of the file,
22    and distribution when not linked into a combine executable.)
23 
24    The GNU C Library is distributed in the hope that it will be useful,
25    but WITHOUT ANY WARRANTY; without even the implied warranty of
26    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
27    Lesser General Public License for more details.
28 
29    You should have received a copy of the GNU Lesser General Public
30    License along with the GNU C Library; if not, see
31    <http://www.gnu.org/licenses/>.  */
32 
33 #ifndef SOFT_FP_QUAD_H
34 #define SOFT_FP_QUAD_H	1
35 
36 #if _FP_W_TYPE_SIZE < 32
37 # error "Here's a nickel, kid. Go buy yourself a real computer."
38 #endif
39 
40 #if _FP_W_TYPE_SIZE < 64
41 # define _FP_FRACTBITS_Q	(4*_FP_W_TYPE_SIZE)
42 # define _FP_FRACTBITS_DW_Q	(8*_FP_W_TYPE_SIZE)
43 #else
44 # define _FP_FRACTBITS_Q		(2*_FP_W_TYPE_SIZE)
45 # define _FP_FRACTBITS_DW_Q	(4*_FP_W_TYPE_SIZE)
46 #endif
47 
48 #define _FP_FRACBITS_Q		113
49 #define _FP_FRACXBITS_Q		(_FP_FRACTBITS_Q - _FP_FRACBITS_Q)
50 #define _FP_WFRACBITS_Q		(_FP_WORKBITS + _FP_FRACBITS_Q)
51 #define _FP_WFRACXBITS_Q	(_FP_FRACTBITS_Q - _FP_WFRACBITS_Q)
52 #define _FP_EXPBITS_Q		15
53 #define _FP_EXPBIAS_Q		16383
54 #define _FP_EXPMAX_Q		32767
55 
56 #define _FP_QNANBIT_Q		\
57 	((_FP_W_TYPE) 1 << (_FP_FRACBITS_Q-2) % _FP_W_TYPE_SIZE)
58 #define _FP_QNANBIT_SH_Q		\
59 	((_FP_W_TYPE) 1 << (_FP_FRACBITS_Q-2+_FP_WORKBITS) % _FP_W_TYPE_SIZE)
60 #define _FP_IMPLBIT_Q		\
61 	((_FP_W_TYPE) 1 << (_FP_FRACBITS_Q-1) % _FP_W_TYPE_SIZE)
62 #define _FP_IMPLBIT_SH_Q		\
63 	((_FP_W_TYPE) 1 << (_FP_FRACBITS_Q-1+_FP_WORKBITS) % _FP_W_TYPE_SIZE)
64 #define _FP_OVERFLOW_Q		\
65 	((_FP_W_TYPE) 1 << (_FP_WFRACBITS_Q % _FP_W_TYPE_SIZE))
66 
67 #define _FP_WFRACBITS_DW_Q	(2 * _FP_WFRACBITS_Q)
68 #define _FP_WFRACXBITS_DW_Q	(_FP_FRACTBITS_DW_Q - _FP_WFRACBITS_DW_Q)
69 #define _FP_HIGHBIT_DW_Q	\
70   ((_FP_W_TYPE) 1 << (_FP_WFRACBITS_DW_Q - 1) % _FP_W_TYPE_SIZE)
71 
72 typedef float TFtype __attribute__ ((mode (TF)));
73 
74 #if _FP_W_TYPE_SIZE < 64
75 
76 union _FP_UNION_Q
77 {
78   TFtype flt;
79   struct _FP_STRUCT_LAYOUT
80   {
81 # if __BYTE_ORDER == __BIG_ENDIAN
82     unsigned sign : 1;
83     unsigned exp : _FP_EXPBITS_Q;
84     unsigned long frac3 : _FP_FRACBITS_Q - (_FP_IMPLBIT_Q != 0)-(_FP_W_TYPE_SIZE * 3);
85     unsigned long frac2 : _FP_W_TYPE_SIZE;
86     unsigned long frac1 : _FP_W_TYPE_SIZE;
87     unsigned long frac0 : _FP_W_TYPE_SIZE;
88 # else
89     unsigned long frac0 : _FP_W_TYPE_SIZE;
90     unsigned long frac1 : _FP_W_TYPE_SIZE;
91     unsigned long frac2 : _FP_W_TYPE_SIZE;
92     unsigned long frac3 : _FP_FRACBITS_Q - (_FP_IMPLBIT_Q != 0)-(_FP_W_TYPE_SIZE * 3);
93     unsigned exp : _FP_EXPBITS_Q;
94     unsigned sign : 1;
95 # endif /* not bigendian */
96   } bits __attribute__ ((packed));
97 };
98 
99 
100 # define FP_DECL_Q(X)		_FP_DECL (4, X)
101 # define FP_UNPACK_RAW_Q(X, val)	_FP_UNPACK_RAW_4 (Q, X, (val))
102 # define FP_UNPACK_RAW_QP(X, val)	_FP_UNPACK_RAW_4_P (Q, X, (val))
103 # define FP_PACK_RAW_Q(val, X)	_FP_PACK_RAW_4 (Q, (val), X)
104 # define FP_PACK_RAW_QP(val, X)			\
105   do						\
106     {						\
107       if (!FP_INHIBIT_RESULTS)			\
108 	_FP_PACK_RAW_4_P (Q, (val), X);		\
109     }						\
110   while (0)
111 
112 # define FP_UNPACK_Q(X, val)			\
113   do						\
114     {						\
115       _FP_UNPACK_RAW_4 (Q, X, (val));		\
116       _FP_UNPACK_CANONICAL (Q, 4, X);		\
117     }						\
118   while (0)
119 
120 # define FP_UNPACK_QP(X, val)			\
121   do						\
122     {						\
123       _FP_UNPACK_RAW_4_P (Q, X, (val));		\
124       _FP_UNPACK_CANONICAL (Q, 4, X);		\
125     }						\
126   while (0)
127 
128 # define FP_UNPACK_SEMIRAW_Q(X, val)		\
129   do						\
130     {						\
131       _FP_UNPACK_RAW_4 (Q, X, (val));		\
132       _FP_UNPACK_SEMIRAW (Q, 4, X);		\
133     }						\
134   while (0)
135 
136 # define FP_UNPACK_SEMIRAW_QP(X, val)		\
137   do						\
138     {						\
139       _FP_UNPACK_RAW_4_P (Q, X, (val));		\
140       _FP_UNPACK_SEMIRAW (Q, 4, X);		\
141     }						\
142   while (0)
143 
144 # define FP_PACK_Q(val, X)			\
145   do						\
146     {						\
147       _FP_PACK_CANONICAL (Q, 4, X);		\
148       _FP_PACK_RAW_4 (Q, (val), X);		\
149     }						\
150   while (0)
151 
152 # define FP_PACK_QP(val, X)			\
153   do						\
154     {						\
155       _FP_PACK_CANONICAL (Q, 4, X);		\
156       if (!FP_INHIBIT_RESULTS)			\
157 	_FP_PACK_RAW_4_P (Q, (val), X);		\
158     }						\
159   while (0)
160 
161 # define FP_PACK_SEMIRAW_Q(val, X)		\
162   do						\
163     {						\
164       _FP_PACK_SEMIRAW (Q, 4, X);		\
165       _FP_PACK_RAW_4 (Q, (val), X);		\
166     }						\
167   while (0)
168 
169 # define FP_PACK_SEMIRAW_QP(val, X)		\
170   do						\
171     {						\
172       _FP_PACK_SEMIRAW (Q, 4, X);		\
173       if (!FP_INHIBIT_RESULTS)			\
174 	_FP_PACK_RAW_4_P (Q, (val), X);		\
175     }						\
176   while (0)
177 
178 # define FP_ISSIGNAN_Q(X)		_FP_ISSIGNAN (Q, 4, X)
179 # define FP_NEG_Q(R, X)			_FP_NEG (Q, 4, R, X)
180 # define FP_ADD_Q(R, X, Y)		_FP_ADD (Q, 4, R, X, Y)
181 # define FP_SUB_Q(R, X, Y)		_FP_SUB (Q, 4, R, X, Y)
182 # define FP_MUL_Q(R, X, Y)		_FP_MUL (Q, 4, R, X, Y)
183 # define FP_DIV_Q(R, X, Y)		_FP_DIV (Q, 4, R, X, Y)
184 # define FP_SQRT_Q(R, X)		_FP_SQRT (Q, 4, R, X)
185 # define _FP_SQRT_MEAT_Q(R, S, T, X, Q)	_FP_SQRT_MEAT_4 (R, S, T, X, (Q))
186 # define FP_FMA_Q(R, X, Y, Z)		_FP_FMA (Q, 4, 8, R, X, Y, Z)
187 
188 # define FP_CMP_Q(r, X, Y, un, ex)	_FP_CMP (Q, 4, (r), X, Y, (un), (ex))
189 # define FP_CMP_EQ_Q(r, X, Y, ex)	_FP_CMP_EQ (Q, 4, (r), X, Y, (ex))
190 # define FP_CMP_UNORD_Q(r, X, Y, ex)	_FP_CMP_UNORD (Q, 4, (r), X, Y, (ex))
191 
192 # define FP_TO_INT_Q(r, X, rsz, rsg)	_FP_TO_INT (Q, 4, (r), X, (rsz), (rsg))
193 # define FP_TO_INT_ROUND_Q(r, X, rsz, rsg)	\
194   _FP_TO_INT_ROUND (Q, 4, (r), X, (rsz), (rsg))
195 # define FP_FROM_INT_Q(X, r, rs, rt)	_FP_FROM_INT (Q, 4, X, (r), (rs), rt)
196 
197 # define _FP_FRAC_HIGH_Q(X)	_FP_FRAC_HIGH_4 (X)
198 # define _FP_FRAC_HIGH_RAW_Q(X)	_FP_FRAC_HIGH_4 (X)
199 
200 # define _FP_FRAC_HIGH_DW_Q(X)	_FP_FRAC_HIGH_8 (X)
201 
202 #else   /* not _FP_W_TYPE_SIZE < 64 */
203 union _FP_UNION_Q
204 {
205   TFtype flt /* __attribute__ ((mode (TF))) */ ;
206   struct _FP_STRUCT_LAYOUT
207   {
208     _FP_W_TYPE a, b;
209   } longs;
210   struct _FP_STRUCT_LAYOUT
211   {
212 # if __BYTE_ORDER == __BIG_ENDIAN
213     unsigned sign    : 1;
214     unsigned exp     : _FP_EXPBITS_Q;
215     _FP_W_TYPE frac1 : _FP_FRACBITS_Q - (_FP_IMPLBIT_Q != 0) - _FP_W_TYPE_SIZE;
216     _FP_W_TYPE frac0 : _FP_W_TYPE_SIZE;
217 # else
218     _FP_W_TYPE frac0 : _FP_W_TYPE_SIZE;
219     _FP_W_TYPE frac1 : _FP_FRACBITS_Q - (_FP_IMPLBIT_Q != 0) - _FP_W_TYPE_SIZE;
220     unsigned exp     : _FP_EXPBITS_Q;
221     unsigned sign    : 1;
222 # endif
223   } bits;
224 };
225 
226 # define FP_DECL_Q(X)		_FP_DECL (2, X)
227 # define FP_UNPACK_RAW_Q(X, val)	_FP_UNPACK_RAW_2 (Q, X, (val))
228 # define FP_UNPACK_RAW_QP(X, val)	_FP_UNPACK_RAW_2_P (Q, X, (val))
229 # define FP_PACK_RAW_Q(val, X)	_FP_PACK_RAW_2 (Q, (val), X)
230 # define FP_PACK_RAW_QP(val, X)			\
231   do						\
232     {						\
233       if (!FP_INHIBIT_RESULTS)			\
234 	_FP_PACK_RAW_2_P (Q, (val), X);		\
235     }						\
236   while (0)
237 
238 # define FP_UNPACK_Q(X, val)			\
239   do						\
240     {						\
241       _FP_UNPACK_RAW_2 (Q, X, (val));		\
242       _FP_UNPACK_CANONICAL (Q, 2, X);		\
243     }						\
244   while (0)
245 
246 # define FP_UNPACK_QP(X, val)			\
247   do						\
248     {						\
249       _FP_UNPACK_RAW_2_P (Q, X, (val));		\
250       _FP_UNPACK_CANONICAL (Q, 2, X);		\
251     }						\
252   while (0)
253 
254 # define FP_UNPACK_SEMIRAW_Q(X, val)		\
255   do						\
256     {						\
257       _FP_UNPACK_RAW_2 (Q, X, (val));		\
258       _FP_UNPACK_SEMIRAW (Q, 2, X);		\
259     }						\
260   while (0)
261 
262 # define FP_UNPACK_SEMIRAW_QP(X, val)		\
263   do						\
264     {						\
265       _FP_UNPACK_RAW_2_P (Q, X, (val));		\
266       _FP_UNPACK_SEMIRAW (Q, 2, X);		\
267     }						\
268   while (0)
269 
270 # define FP_PACK_Q(val, X)			\
271   do						\
272     {						\
273       _FP_PACK_CANONICAL (Q, 2, X);		\
274       _FP_PACK_RAW_2 (Q, (val), X);		\
275     }						\
276   while (0)
277 
278 # define FP_PACK_QP(val, X)			\
279   do						\
280     {						\
281       _FP_PACK_CANONICAL (Q, 2, X);		\
282       if (!FP_INHIBIT_RESULTS)			\
283 	_FP_PACK_RAW_2_P (Q, (val), X);		\
284     }						\
285   while (0)
286 
287 # define FP_PACK_SEMIRAW_Q(val, X)		\
288   do						\
289     {						\
290       _FP_PACK_SEMIRAW (Q, 2, X);		\
291       _FP_PACK_RAW_2 (Q, (val), X);		\
292     }						\
293   while (0)
294 
295 # define FP_PACK_SEMIRAW_QP(val, X)		\
296   do						\
297     {						\
298       _FP_PACK_SEMIRAW (Q, 2, X);		\
299       if (!FP_INHIBIT_RESULTS)			\
300 	_FP_PACK_RAW_2_P (Q, (val), X);		\
301     }						\
302   while (0)
303 
304 # define FP_ISSIGNAN_Q(X)		_FP_ISSIGNAN (Q, 2, X)
305 # define FP_NEG_Q(R, X)			_FP_NEG (Q, 2, R, X)
306 # define FP_ADD_Q(R, X, Y)		_FP_ADD (Q, 2, R, X, Y)
307 # define FP_SUB_Q(R, X, Y)		_FP_SUB (Q, 2, R, X, Y)
308 # define FP_MUL_Q(R, X, Y)		_FP_MUL (Q, 2, R, X, Y)
309 # define FP_DIV_Q(R, X, Y)		_FP_DIV (Q, 2, R, X, Y)
310 # define FP_SQRT_Q(R, X)		_FP_SQRT (Q, 2, R, X)
311 # define _FP_SQRT_MEAT_Q(R, S, T, X, Q)	_FP_SQRT_MEAT_2 (R, S, T, X, (Q))
312 # define FP_FMA_Q(R, X, Y, Z)		_FP_FMA (Q, 2, 4, R, X, Y, Z)
313 
314 # define FP_CMP_Q(r, X, Y, un, ex)	_FP_CMP (Q, 2, (r), X, Y, (un), (ex))
315 # define FP_CMP_EQ_Q(r, X, Y, ex)	_FP_CMP_EQ (Q, 2, (r), X, Y, (ex))
316 # define FP_CMP_UNORD_Q(r, X, Y, ex)	_FP_CMP_UNORD (Q, 2, (r), X, Y, (ex))
317 
318 # define FP_TO_INT_Q(r, X, rsz, rsg)	_FP_TO_INT (Q, 2, (r), X, (rsz), (rsg))
319 # define FP_TO_INT_ROUND_Q(r, X, rsz, rsg)	\
320   _FP_TO_INT_ROUND (Q, 2, (r), X, (rsz), (rsg))
321 # define FP_FROM_INT_Q(X, r, rs, rt)	_FP_FROM_INT (Q, 2, X, (r), (rs), rt)
322 
323 # define _FP_FRAC_HIGH_Q(X)	_FP_FRAC_HIGH_2 (X)
324 # define _FP_FRAC_HIGH_RAW_Q(X)	_FP_FRAC_HIGH_2 (X)
325 
326 # define _FP_FRAC_HIGH_DW_Q(X)	_FP_FRAC_HIGH_4 (X)
327 
328 #endif /* not _FP_W_TYPE_SIZE < 64 */
329 
330 #endif /* !SOFT_FP_QUAD_H */
331