1 /* Software floating-point emulation.
2    Definitions for IEEE Double 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_DOUBLE_H
34 #define SOFT_FP_DOUBLE_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_D	(2 * _FP_W_TYPE_SIZE)
42 # define _FP_FRACTBITS_DW_D	(4 * _FP_W_TYPE_SIZE)
43 #else
44 # define _FP_FRACTBITS_D	_FP_W_TYPE_SIZE
45 # define _FP_FRACTBITS_DW_D	(2 * _FP_W_TYPE_SIZE)
46 #endif
47 
48 #define _FP_FRACBITS_D		53
49 #define _FP_FRACXBITS_D		(_FP_FRACTBITS_D - _FP_FRACBITS_D)
50 #define _FP_WFRACBITS_D		(_FP_WORKBITS + _FP_FRACBITS_D)
51 #define _FP_WFRACXBITS_D	(_FP_FRACTBITS_D - _FP_WFRACBITS_D)
52 #define _FP_EXPBITS_D		11
53 #define _FP_EXPBIAS_D		1023
54 #define _FP_EXPMAX_D		2047
55 
56 #define _FP_QNANBIT_D		\
57 	((_FP_W_TYPE) 1 << (_FP_FRACBITS_D-2) % _FP_W_TYPE_SIZE)
58 #define _FP_QNANBIT_SH_D		\
59 	((_FP_W_TYPE) 1 << (_FP_FRACBITS_D-2+_FP_WORKBITS) % _FP_W_TYPE_SIZE)
60 #define _FP_IMPLBIT_D		\
61 	((_FP_W_TYPE) 1 << (_FP_FRACBITS_D-1) % _FP_W_TYPE_SIZE)
62 #define _FP_IMPLBIT_SH_D		\
63 	((_FP_W_TYPE) 1 << (_FP_FRACBITS_D-1+_FP_WORKBITS) % _FP_W_TYPE_SIZE)
64 #define _FP_OVERFLOW_D		\
65 	((_FP_W_TYPE) 1 << _FP_WFRACBITS_D % _FP_W_TYPE_SIZE)
66 
67 #define _FP_WFRACBITS_DW_D	(2 * _FP_WFRACBITS_D)
68 #define _FP_WFRACXBITS_DW_D	(_FP_FRACTBITS_DW_D - _FP_WFRACBITS_DW_D)
69 #define _FP_HIGHBIT_DW_D	\
70   ((_FP_W_TYPE) 1 << (_FP_WFRACBITS_DW_D - 1) % _FP_W_TYPE_SIZE)
71 
72 typedef float DFtype __attribute__ ((mode (DF)));
73 
74 #if _FP_W_TYPE_SIZE < 64
75 
76 union _FP_UNION_D
77 {
78   DFtype flt;
79   struct _FP_STRUCT_LAYOUT
80   {
81 # if __BYTE_ORDER == __BIG_ENDIAN
82     unsigned sign  : 1;
83     unsigned exp   : _FP_EXPBITS_D;
84     unsigned frac1 : _FP_FRACBITS_D - (_FP_IMPLBIT_D != 0) - _FP_W_TYPE_SIZE;
85     unsigned frac0 : _FP_W_TYPE_SIZE;
86 # else
87     unsigned frac0 : _FP_W_TYPE_SIZE;
88     unsigned frac1 : _FP_FRACBITS_D - (_FP_IMPLBIT_D != 0) - _FP_W_TYPE_SIZE;
89     unsigned exp   : _FP_EXPBITS_D;
90     unsigned sign  : 1;
91 # endif
92   } bits __attribute__ ((packed));
93 };
94 
95 # define FP_DECL_D(X)		_FP_DECL (2, X)
96 # define FP_UNPACK_RAW_D(X, val)	_FP_UNPACK_RAW_2 (D, X, (val))
97 # define FP_UNPACK_RAW_DP(X, val)	_FP_UNPACK_RAW_2_P (D, X, (val))
98 # define FP_PACK_RAW_D(val, X)	_FP_PACK_RAW_2 (D, (val), X)
99 # define FP_PACK_RAW_DP(val, X)			\
100   do						\
101     {						\
102       if (!FP_INHIBIT_RESULTS)			\
103 	_FP_PACK_RAW_2_P (D, (val), X);		\
104     }						\
105   while (0)
106 
107 # define FP_UNPACK_D(X, val)			\
108   do						\
109     {						\
110       _FP_UNPACK_RAW_2 (D, X, (val));		\
111       _FP_UNPACK_CANONICAL (D, 2, X);		\
112     }						\
113   while (0)
114 
115 # define FP_UNPACK_DP(X, val)			\
116   do						\
117     {						\
118       _FP_UNPACK_RAW_2_P (D, X, (val));		\
119       _FP_UNPACK_CANONICAL (D, 2, X);		\
120     }						\
121   while (0)
122 
123 # define FP_UNPACK_SEMIRAW_D(X, val)		\
124   do						\
125     {						\
126       _FP_UNPACK_RAW_2 (D, X, (val));		\
127       _FP_UNPACK_SEMIRAW (D, 2, X);		\
128     }						\
129   while (0)
130 
131 # define FP_UNPACK_SEMIRAW_DP(X, val)		\
132   do						\
133     {						\
134       _FP_UNPACK_RAW_2_P (D, X, (val));		\
135       _FP_UNPACK_SEMIRAW (D, 2, X);		\
136     }						\
137   while (0)
138 
139 # define FP_PACK_D(val, X)			\
140   do						\
141     {						\
142       _FP_PACK_CANONICAL (D, 2, X);		\
143       _FP_PACK_RAW_2 (D, (val), X);		\
144     }						\
145   while (0)
146 
147 # define FP_PACK_DP(val, X)			\
148   do						\
149     {						\
150       _FP_PACK_CANONICAL (D, 2, X);		\
151       if (!FP_INHIBIT_RESULTS)			\
152 	_FP_PACK_RAW_2_P (D, (val), X);		\
153     }						\
154   while (0)
155 
156 # define FP_PACK_SEMIRAW_D(val, X)		\
157   do						\
158     {						\
159       _FP_PACK_SEMIRAW (D, 2, X);		\
160       _FP_PACK_RAW_2 (D, (val), X);		\
161     }						\
162   while (0)
163 
164 # define FP_PACK_SEMIRAW_DP(val, X)		\
165   do						\
166     {						\
167       _FP_PACK_SEMIRAW (D, 2, X);		\
168       if (!FP_INHIBIT_RESULTS)			\
169 	_FP_PACK_RAW_2_P (D, (val), X);		\
170     }						\
171   while (0)
172 
173 # define FP_ISSIGNAN_D(X)		_FP_ISSIGNAN (D, 2, X)
174 # define FP_NEG_D(R, X)			_FP_NEG (D, 2, R, X)
175 # define FP_ADD_D(R, X, Y)		_FP_ADD (D, 2, R, X, Y)
176 # define FP_SUB_D(R, X, Y)		_FP_SUB (D, 2, R, X, Y)
177 # define FP_MUL_D(R, X, Y)		_FP_MUL (D, 2, R, X, Y)
178 # define FP_DIV_D(R, X, Y)		_FP_DIV (D, 2, R, X, Y)
179 # define FP_SQRT_D(R, X)		_FP_SQRT (D, 2, R, X)
180 # define _FP_SQRT_MEAT_D(R, S, T, X, Q)	_FP_SQRT_MEAT_2 (R, S, T, X, (Q))
181 # define FP_FMA_D(R, X, Y, Z)		_FP_FMA (D, 2, 4, R, X, Y, Z)
182 
183 # define FP_CMP_D(r, X, Y, un, ex)	_FP_CMP (D, 2, (r), X, Y, (un), (ex))
184 # define FP_CMP_EQ_D(r, X, Y, ex)	_FP_CMP_EQ (D, 2, (r), X, Y, (ex))
185 # define FP_CMP_UNORD_D(r, X, Y, ex)	_FP_CMP_UNORD (D, 2, (r), X, Y, (ex))
186 
187 # define FP_TO_INT_D(r, X, rsz, rsg)	_FP_TO_INT (D, 2, (r), X, (rsz), (rsg))
188 # define FP_TO_INT_ROUND_D(r, X, rsz, rsg)	\
189   _FP_TO_INT_ROUND (D, 2, (r), X, (rsz), (rsg))
190 # define FP_FROM_INT_D(X, r, rs, rt)	_FP_FROM_INT (D, 2, X, (r), (rs), rt)
191 
192 # define _FP_FRAC_HIGH_D(X)	_FP_FRAC_HIGH_2 (X)
193 # define _FP_FRAC_HIGH_RAW_D(X)	_FP_FRAC_HIGH_2 (X)
194 
195 # define _FP_FRAC_HIGH_DW_D(X)	_FP_FRAC_HIGH_4 (X)
196 
197 #else
198 
199 union _FP_UNION_D
200 {
201   DFtype flt;
202   struct _FP_STRUCT_LAYOUT
203   {
204 # if __BYTE_ORDER == __BIG_ENDIAN
205     unsigned sign   : 1;
206     unsigned exp    : _FP_EXPBITS_D;
207     _FP_W_TYPE frac : _FP_FRACBITS_D - (_FP_IMPLBIT_D != 0);
208 # else
209     _FP_W_TYPE frac : _FP_FRACBITS_D - (_FP_IMPLBIT_D != 0);
210     unsigned exp    : _FP_EXPBITS_D;
211     unsigned sign   : 1;
212 # endif
213   } bits __attribute__ ((packed));
214 };
215 
216 # define FP_DECL_D(X)		_FP_DECL (1, X)
217 # define FP_UNPACK_RAW_D(X, val)	_FP_UNPACK_RAW_1 (D, X, (val))
218 # define FP_UNPACK_RAW_DP(X, val)	_FP_UNPACK_RAW_1_P (D, X, (val))
219 # define FP_PACK_RAW_D(val, X)	_FP_PACK_RAW_1 (D, (val), X)
220 # define FP_PACK_RAW_DP(val, X)			\
221   do						\
222     {						\
223       if (!FP_INHIBIT_RESULTS)			\
224 	_FP_PACK_RAW_1_P (D, (val), X);		\
225     }						\
226   while (0)
227 
228 # define FP_UNPACK_D(X, val)			\
229   do						\
230     {						\
231       _FP_UNPACK_RAW_1 (D, X, (val));		\
232       _FP_UNPACK_CANONICAL (D, 1, X);		\
233     }						\
234   while (0)
235 
236 # define FP_UNPACK_DP(X, val)			\
237   do						\
238     {						\
239       _FP_UNPACK_RAW_1_P (D, X, (val));		\
240       _FP_UNPACK_CANONICAL (D, 1, X);		\
241     }						\
242   while (0)
243 
244 # define FP_UNPACK_SEMIRAW_D(X, val)		\
245   do						\
246     {						\
247       _FP_UNPACK_RAW_1 (D, X, (val));		\
248       _FP_UNPACK_SEMIRAW (D, 1, X);		\
249     }						\
250   while (0)
251 
252 # define FP_UNPACK_SEMIRAW_DP(X, val)		\
253   do						\
254     {						\
255       _FP_UNPACK_RAW_1_P (D, X, (val));		\
256       _FP_UNPACK_SEMIRAW (D, 1, X);		\
257     }						\
258   while (0)
259 
260 # define FP_PACK_D(val, X)			\
261   do						\
262     {						\
263       _FP_PACK_CANONICAL (D, 1, X);		\
264       _FP_PACK_RAW_1 (D, (val), X);		\
265     }						\
266   while (0)
267 
268 # define FP_PACK_DP(val, X)			\
269   do						\
270     {						\
271       _FP_PACK_CANONICAL (D, 1, X);		\
272       if (!FP_INHIBIT_RESULTS)			\
273 	_FP_PACK_RAW_1_P (D, (val), X);		\
274     }						\
275   while (0)
276 
277 # define FP_PACK_SEMIRAW_D(val, X)		\
278   do						\
279     {						\
280       _FP_PACK_SEMIRAW (D, 1, X);		\
281       _FP_PACK_RAW_1 (D, (val), X);		\
282     }						\
283   while (0)
284 
285 # define FP_PACK_SEMIRAW_DP(val, X)		\
286   do						\
287     {						\
288       _FP_PACK_SEMIRAW (D, 1, X);		\
289       if (!FP_INHIBIT_RESULTS)			\
290 	_FP_PACK_RAW_1_P (D, (val), X);		\
291     }						\
292   while (0)
293 
294 # define FP_ISSIGNAN_D(X)		_FP_ISSIGNAN (D, 1, X)
295 # define FP_NEG_D(R, X)			_FP_NEG (D, 1, R, X)
296 # define FP_ADD_D(R, X, Y)		_FP_ADD (D, 1, R, X, Y)
297 # define FP_SUB_D(R, X, Y)		_FP_SUB (D, 1, R, X, Y)
298 # define FP_MUL_D(R, X, Y)		_FP_MUL (D, 1, R, X, Y)
299 # define FP_DIV_D(R, X, Y)		_FP_DIV (D, 1, R, X, Y)
300 # define FP_SQRT_D(R, X)		_FP_SQRT (D, 1, R, X)
301 # define _FP_SQRT_MEAT_D(R, S, T, X, Q)	_FP_SQRT_MEAT_1 (R, S, T, X, (Q))
302 # define FP_FMA_D(R, X, Y, Z)		_FP_FMA (D, 1, 2, R, X, Y, Z)
303 
304 /* The implementation of _FP_MUL_D and _FP_DIV_D should be chosen by
305    the target machine.  */
306 
307 # define FP_CMP_D(r, X, Y, un, ex)	_FP_CMP (D, 1, (r), X, Y, (un), (ex))
308 # define FP_CMP_EQ_D(r, X, Y, ex)	_FP_CMP_EQ (D, 1, (r), X, Y, (ex))
309 # define FP_CMP_UNORD_D(r, X, Y, ex)	_FP_CMP_UNORD (D, 1, (r), X, Y, (ex))
310 
311 # define FP_TO_INT_D(r, X, rsz, rsg)	_FP_TO_INT (D, 1, (r), X, (rsz), (rsg))
312 # define FP_TO_INT_ROUND_D(r, X, rsz, rsg)	\
313   _FP_TO_INT_ROUND (D, 1, (r), X, (rsz), (rsg))
314 # define FP_FROM_INT_D(X, r, rs, rt)	_FP_FROM_INT (D, 1, X, (r), (rs), rt)
315 
316 # define _FP_FRAC_HIGH_D(X)	_FP_FRAC_HIGH_1 (X)
317 # define _FP_FRAC_HIGH_RAW_D(X)	_FP_FRAC_HIGH_1 (X)
318 
319 # define _FP_FRAC_HIGH_DW_D(X)	_FP_FRAC_HIGH_2 (X)
320 
321 #endif /* W_TYPE_SIZE < 64 */
322 
323 #endif /* !SOFT_FP_DOUBLE_H */
324