1 /* Software floating-point emulation.
2 Definitions for IEEE Double Precision
3 Copyright (C) 1997-2022 Free Software Foundation, Inc.
4 This file is part of the GNU C Library.
5
6 The GNU C Library is free software; you can redistribute it and/or
7 modify it under the terms of the GNU Lesser General Public
8 License as published by the Free Software Foundation; either
9 version 2.1 of the License, or (at your option) any later version.
10
11 In addition to the permissions in the GNU Lesser General Public
12 License, the Free Software Foundation gives you unlimited
13 permission to link the compiled version of this file into
14 combinations with other programs, and to distribute those
15 combinations without any restriction coming from the use of this
16 file. (The Lesser General Public License restrictions do apply in
17 other respects; for example, they cover modification of the file,
18 and distribution when not linked into a combine executable.)
19
20 The GNU C Library is distributed in the hope that it will be useful,
21 but WITHOUT ANY WARRANTY; without even the implied warranty of
22 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
23 Lesser General Public License for more details.
24
25 You should have received a copy of the GNU Lesser General Public
26 License along with the GNU C Library; if not, see
27 <https://www.gnu.org/licenses/>. */
28
29 #ifndef SOFT_FP_DOUBLE_H
30 #define SOFT_FP_DOUBLE_H 1
31
32 #if _FP_W_TYPE_SIZE < 32
33 # error "Here's a nickel kid. Go buy yourself a real computer."
34 #endif
35
36 #if _FP_W_TYPE_SIZE < 64
37 # define _FP_FRACTBITS_D (2 * _FP_W_TYPE_SIZE)
38 # define _FP_FRACTBITS_DW_D (4 * _FP_W_TYPE_SIZE)
39 #else
40 # define _FP_FRACTBITS_D _FP_W_TYPE_SIZE
41 # define _FP_FRACTBITS_DW_D (2 * _FP_W_TYPE_SIZE)
42 #endif
43
44 #define _FP_FRACBITS_D 53
45 #define _FP_FRACXBITS_D (_FP_FRACTBITS_D - _FP_FRACBITS_D)
46 #define _FP_WFRACBITS_D (_FP_WORKBITS + _FP_FRACBITS_D)
47 #define _FP_WFRACXBITS_D (_FP_FRACTBITS_D - _FP_WFRACBITS_D)
48 #define _FP_EXPBITS_D 11
49 #define _FP_EXPBIAS_D 1023
50 #define _FP_EXPMAX_D 2047
51
52 #define _FP_QNANBIT_D \
53 ((_FP_W_TYPE) 1 << (_FP_FRACBITS_D-2) % _FP_W_TYPE_SIZE)
54 #define _FP_QNANBIT_SH_D \
55 ((_FP_W_TYPE) 1 << (_FP_FRACBITS_D-2+_FP_WORKBITS) % _FP_W_TYPE_SIZE)
56 #define _FP_IMPLBIT_D \
57 ((_FP_W_TYPE) 1 << (_FP_FRACBITS_D-1) % _FP_W_TYPE_SIZE)
58 #define _FP_IMPLBIT_SH_D \
59 ((_FP_W_TYPE) 1 << (_FP_FRACBITS_D-1+_FP_WORKBITS) % _FP_W_TYPE_SIZE)
60 #define _FP_OVERFLOW_D \
61 ((_FP_W_TYPE) 1 << _FP_WFRACBITS_D % _FP_W_TYPE_SIZE)
62
63 #define _FP_WFRACBITS_DW_D (2 * _FP_WFRACBITS_D)
64 #define _FP_WFRACXBITS_DW_D (_FP_FRACTBITS_DW_D - _FP_WFRACBITS_DW_D)
65 #define _FP_HIGHBIT_DW_D \
66 ((_FP_W_TYPE) 1 << (_FP_WFRACBITS_DW_D - 1) % _FP_W_TYPE_SIZE)
67
68 typedef float DFtype __attribute__ ((mode (DF)));
69
70 #if _FP_W_TYPE_SIZE < 64
71
72 union _FP_UNION_D
73 {
74 DFtype flt;
75 struct _FP_STRUCT_LAYOUT
76 {
77 # if __BYTE_ORDER == __BIG_ENDIAN
78 unsigned sign : 1;
79 unsigned exp : _FP_EXPBITS_D;
80 unsigned frac1 : _FP_FRACBITS_D - (_FP_IMPLBIT_D != 0) - _FP_W_TYPE_SIZE;
81 unsigned frac0 : _FP_W_TYPE_SIZE;
82 # else
83 unsigned frac0 : _FP_W_TYPE_SIZE;
84 unsigned frac1 : _FP_FRACBITS_D - (_FP_IMPLBIT_D != 0) - _FP_W_TYPE_SIZE;
85 unsigned exp : _FP_EXPBITS_D;
86 unsigned sign : 1;
87 # endif
88 } bits;
89 };
90
91 # define FP_DECL_D(X) _FP_DECL (2, X)
92 # define FP_UNPACK_RAW_D(X, val) _FP_UNPACK_RAW_2 (D, X, (val))
93 # define FP_UNPACK_RAW_DP(X, val) _FP_UNPACK_RAW_2_P (D, X, (val))
94 # define FP_PACK_RAW_D(val, X) _FP_PACK_RAW_2 (D, (val), X)
95 # define FP_PACK_RAW_DP(val, X) \
96 do \
97 { \
98 if (!FP_INHIBIT_RESULTS) \
99 _FP_PACK_RAW_2_P (D, (val), X); \
100 } \
101 while (0)
102
103 # define FP_UNPACK_D(X, val) \
104 do \
105 { \
106 _FP_UNPACK_RAW_2 (D, X, (val)); \
107 _FP_UNPACK_CANONICAL (D, 2, X); \
108 } \
109 while (0)
110
111 # define FP_UNPACK_DP(X, val) \
112 do \
113 { \
114 _FP_UNPACK_RAW_2_P (D, X, (val)); \
115 _FP_UNPACK_CANONICAL (D, 2, X); \
116 } \
117 while (0)
118
119 # define FP_UNPACK_SEMIRAW_D(X, val) \
120 do \
121 { \
122 _FP_UNPACK_RAW_2 (D, X, (val)); \
123 _FP_UNPACK_SEMIRAW (D, 2, X); \
124 } \
125 while (0)
126
127 # define FP_UNPACK_SEMIRAW_DP(X, val) \
128 do \
129 { \
130 _FP_UNPACK_RAW_2_P (D, X, (val)); \
131 _FP_UNPACK_SEMIRAW (D, 2, X); \
132 } \
133 while (0)
134
135 # define FP_PACK_D(val, X) \
136 do \
137 { \
138 _FP_PACK_CANONICAL (D, 2, X); \
139 _FP_PACK_RAW_2 (D, (val), X); \
140 } \
141 while (0)
142
143 # define FP_PACK_DP(val, X) \
144 do \
145 { \
146 _FP_PACK_CANONICAL (D, 2, X); \
147 if (!FP_INHIBIT_RESULTS) \
148 _FP_PACK_RAW_2_P (D, (val), X); \
149 } \
150 while (0)
151
152 # define FP_PACK_SEMIRAW_D(val, X) \
153 do \
154 { \
155 _FP_PACK_SEMIRAW (D, 2, X); \
156 _FP_PACK_RAW_2 (D, (val), X); \
157 } \
158 while (0)
159
160 # define FP_PACK_SEMIRAW_DP(val, X) \
161 do \
162 { \
163 _FP_PACK_SEMIRAW (D, 2, X); \
164 if (!FP_INHIBIT_RESULTS) \
165 _FP_PACK_RAW_2_P (D, (val), X); \
166 } \
167 while (0)
168
169 # define FP_ISSIGNAN_D(X) _FP_ISSIGNAN (D, 2, X)
170 # define FP_NEG_D(R, X) _FP_NEG (D, 2, R, X)
171 # define FP_ADD_D(R, X, Y) _FP_ADD (D, 2, R, X, Y)
172 # define FP_SUB_D(R, X, Y) _FP_SUB (D, 2, R, X, Y)
173 # define FP_MUL_D(R, X, Y) _FP_MUL (D, 2, R, X, Y)
174 # define FP_DIV_D(R, X, Y) _FP_DIV (D, 2, R, X, Y)
175 # define FP_SQRT_D(R, X) _FP_SQRT (D, 2, R, X)
176 # define _FP_SQRT_MEAT_D(R, S, T, X, Q) _FP_SQRT_MEAT_2 (R, S, T, X, (Q))
177 # define FP_FMA_D(R, X, Y, Z) _FP_FMA (D, 2, 4, R, X, Y, Z)
178
179 # define FP_CMP_D(r, X, Y, un, ex) _FP_CMP (D, 2, (r), X, Y, (un), (ex))
180 # define FP_CMP_EQ_D(r, X, Y, ex) _FP_CMP_EQ (D, 2, (r), X, Y, (ex))
181 # define FP_CMP_UNORD_D(r, X, Y, ex) _FP_CMP_UNORD (D, 2, (r), X, Y, (ex))
182
183 # define FP_TO_INT_D(r, X, rsz, rsg) _FP_TO_INT (D, 2, (r), X, (rsz), (rsg))
184 # define FP_TO_INT_ROUND_D(r, X, rsz, rsg) \
185 _FP_TO_INT_ROUND (D, 2, (r), X, (rsz), (rsg))
186 # define FP_FROM_INT_D(X, r, rs, rt) _FP_FROM_INT (D, 2, X, (r), (rs), rt)
187
188 # define _FP_FRAC_HIGH_D(X) _FP_FRAC_HIGH_2 (X)
189 # define _FP_FRAC_HIGH_RAW_D(X) _FP_FRAC_HIGH_2 (X)
190
191 # define _FP_FRAC_HIGH_DW_D(X) _FP_FRAC_HIGH_4 (X)
192
193 #else
194
195 union _FP_UNION_D
196 {
197 DFtype flt;
198 struct _FP_STRUCT_LAYOUT
199 {
200 # if __BYTE_ORDER == __BIG_ENDIAN
201 unsigned sign : 1;
202 unsigned exp : _FP_EXPBITS_D;
203 _FP_W_TYPE frac : _FP_FRACBITS_D - (_FP_IMPLBIT_D != 0);
204 # else
205 _FP_W_TYPE frac : _FP_FRACBITS_D - (_FP_IMPLBIT_D != 0);
206 unsigned exp : _FP_EXPBITS_D;
207 unsigned sign : 1;
208 # endif
209 } bits;
210 };
211
212 # define FP_DECL_D(X) _FP_DECL (1, X)
213 # define FP_UNPACK_RAW_D(X, val) _FP_UNPACK_RAW_1 (D, X, (val))
214 # define FP_UNPACK_RAW_DP(X, val) _FP_UNPACK_RAW_1_P (D, X, (val))
215 # define FP_PACK_RAW_D(val, X) _FP_PACK_RAW_1 (D, (val), X)
216 # define FP_PACK_RAW_DP(val, X) \
217 do \
218 { \
219 if (!FP_INHIBIT_RESULTS) \
220 _FP_PACK_RAW_1_P (D, (val), X); \
221 } \
222 while (0)
223
224 # define FP_UNPACK_D(X, val) \
225 do \
226 { \
227 _FP_UNPACK_RAW_1 (D, X, (val)); \
228 _FP_UNPACK_CANONICAL (D, 1, X); \
229 } \
230 while (0)
231
232 # define FP_UNPACK_DP(X, val) \
233 do \
234 { \
235 _FP_UNPACK_RAW_1_P (D, X, (val)); \
236 _FP_UNPACK_CANONICAL (D, 1, X); \
237 } \
238 while (0)
239
240 # define FP_UNPACK_SEMIRAW_D(X, val) \
241 do \
242 { \
243 _FP_UNPACK_RAW_1 (D, X, (val)); \
244 _FP_UNPACK_SEMIRAW (D, 1, X); \
245 } \
246 while (0)
247
248 # define FP_UNPACK_SEMIRAW_DP(X, val) \
249 do \
250 { \
251 _FP_UNPACK_RAW_1_P (D, X, (val)); \
252 _FP_UNPACK_SEMIRAW (D, 1, X); \
253 } \
254 while (0)
255
256 # define FP_PACK_D(val, X) \
257 do \
258 { \
259 _FP_PACK_CANONICAL (D, 1, X); \
260 _FP_PACK_RAW_1 (D, (val), X); \
261 } \
262 while (0)
263
264 # define FP_PACK_DP(val, X) \
265 do \
266 { \
267 _FP_PACK_CANONICAL (D, 1, X); \
268 if (!FP_INHIBIT_RESULTS) \
269 _FP_PACK_RAW_1_P (D, (val), X); \
270 } \
271 while (0)
272
273 # define FP_PACK_SEMIRAW_D(val, X) \
274 do \
275 { \
276 _FP_PACK_SEMIRAW (D, 1, X); \
277 _FP_PACK_RAW_1 (D, (val), X); \
278 } \
279 while (0)
280
281 # define FP_PACK_SEMIRAW_DP(val, X) \
282 do \
283 { \
284 _FP_PACK_SEMIRAW (D, 1, X); \
285 if (!FP_INHIBIT_RESULTS) \
286 _FP_PACK_RAW_1_P (D, (val), X); \
287 } \
288 while (0)
289
290 # define FP_ISSIGNAN_D(X) _FP_ISSIGNAN (D, 1, X)
291 # define FP_NEG_D(R, X) _FP_NEG (D, 1, R, X)
292 # define FP_ADD_D(R, X, Y) _FP_ADD (D, 1, R, X, Y)
293 # define FP_SUB_D(R, X, Y) _FP_SUB (D, 1, R, X, Y)
294 # define FP_MUL_D(R, X, Y) _FP_MUL (D, 1, R, X, Y)
295 # define FP_DIV_D(R, X, Y) _FP_DIV (D, 1, R, X, Y)
296 # define FP_SQRT_D(R, X) _FP_SQRT (D, 1, R, X)
297 # define _FP_SQRT_MEAT_D(R, S, T, X, Q) _FP_SQRT_MEAT_1 (R, S, T, X, (Q))
298 # define FP_FMA_D(R, X, Y, Z) _FP_FMA (D, 1, 2, R, X, Y, Z)
299
300 /* The implementation of _FP_MUL_D and _FP_DIV_D should be chosen by
301 the target machine. */
302
303 # define FP_CMP_D(r, X, Y, un, ex) _FP_CMP (D, 1, (r), X, Y, (un), (ex))
304 # define FP_CMP_EQ_D(r, X, Y, ex) _FP_CMP_EQ (D, 1, (r), X, Y, (ex))
305 # define FP_CMP_UNORD_D(r, X, Y, ex) _FP_CMP_UNORD (D, 1, (r), X, Y, (ex))
306
307 # define FP_TO_INT_D(r, X, rsz, rsg) _FP_TO_INT (D, 1, (r), X, (rsz), (rsg))
308 # define FP_TO_INT_ROUND_D(r, X, rsz, rsg) \
309 _FP_TO_INT_ROUND (D, 1, (r), X, (rsz), (rsg))
310 # define FP_FROM_INT_D(X, r, rs, rt) _FP_FROM_INT (D, 1, X, (r), (rs), rt)
311
312 # define _FP_FRAC_HIGH_D(X) _FP_FRAC_HIGH_1 (X)
313 # define _FP_FRAC_HIGH_RAW_D(X) _FP_FRAC_HIGH_1 (X)
314
315 # define _FP_FRAC_HIGH_DW_D(X) _FP_FRAC_HIGH_2 (X)
316
317 #endif /* W_TYPE_SIZE < 64 */
318
319 #endif /* !SOFT_FP_DOUBLE_H */