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d876f532 UD |
1 | /* Software floating-point emulation. |
2 | Basic four-word fraction declaration and manipulation. | |
04277e02 | 3 | Copyright (C) 1997-2019 Free Software Foundation, Inc. |
d876f532 UD |
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 | |
41bdb6e2 AJ |
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. | |
d876f532 | 14 | |
638a783c RM |
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 | ||
d876f532 UD |
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 | |
41bdb6e2 | 27 | Lesser General Public License for more details. |
d876f532 | 28 | |
41bdb6e2 | 29 | You should have received a copy of the GNU Lesser General Public |
59ba27a6 PE |
30 | License along with the GNU C Library; if not, see |
31 | <http://www.gnu.org/licenses/>. */ | |
d876f532 | 32 | |
a2f8be9c JM |
33 | #ifndef SOFT_FP_OP_4_H |
34 | #define SOFT_FP_OP_4_H 1 | |
35 | ||
d876f532 | 36 | #define _FP_FRAC_DECL_4(X) _FP_W_TYPE X##_f[4] |
51ca9e29 | 37 | #define _FP_FRAC_COPY_4(D, S) \ |
d876f532 UD |
38 | (D##_f[0] = S##_f[0], D##_f[1] = S##_f[1], \ |
39 | D##_f[2] = S##_f[2], D##_f[3] = S##_f[3]) | |
51ca9e29 | 40 | #define _FP_FRAC_SET_4(X, I) __FP_FRAC_SET_4 (X, I) |
d876f532 UD |
41 | #define _FP_FRAC_HIGH_4(X) (X##_f[3]) |
42 | #define _FP_FRAC_LOW_4(X) (X##_f[0]) | |
51ca9e29 | 43 | #define _FP_FRAC_WORD_4(X, w) (X##_f[w]) |
d876f532 | 44 | |
3a6e9887 JM |
45 | #define _FP_FRAC_SLL_4(X, N) \ |
46 | do \ | |
47 | { \ | |
48 | _FP_I_TYPE _FP_FRAC_SLL_4_up, _FP_FRAC_SLL_4_down; \ | |
49 | _FP_I_TYPE _FP_FRAC_SLL_4_skip, _FP_FRAC_SLL_4_i; \ | |
50 | _FP_FRAC_SLL_4_skip = (N) / _FP_W_TYPE_SIZE; \ | |
51 | _FP_FRAC_SLL_4_up = (N) % _FP_W_TYPE_SIZE; \ | |
52 | _FP_FRAC_SLL_4_down = _FP_W_TYPE_SIZE - _FP_FRAC_SLL_4_up; \ | |
53 | if (!_FP_FRAC_SLL_4_up) \ | |
54 | for (_FP_FRAC_SLL_4_i = 3; \ | |
55 | _FP_FRAC_SLL_4_i >= _FP_FRAC_SLL_4_skip; \ | |
56 | --_FP_FRAC_SLL_4_i) \ | |
57 | X##_f[_FP_FRAC_SLL_4_i] \ | |
58 | = X##_f[_FP_FRAC_SLL_4_i-_FP_FRAC_SLL_4_skip]; \ | |
59 | else \ | |
60 | { \ | |
61 | for (_FP_FRAC_SLL_4_i = 3; \ | |
62 | _FP_FRAC_SLL_4_i > _FP_FRAC_SLL_4_skip; \ | |
63 | --_FP_FRAC_SLL_4_i) \ | |
64 | X##_f[_FP_FRAC_SLL_4_i] \ | |
65 | = ((X##_f[_FP_FRAC_SLL_4_i-_FP_FRAC_SLL_4_skip] \ | |
66 | << _FP_FRAC_SLL_4_up) \ | |
67 | | (X##_f[_FP_FRAC_SLL_4_i-_FP_FRAC_SLL_4_skip-1] \ | |
68 | >> _FP_FRAC_SLL_4_down)); \ | |
69 | X##_f[_FP_FRAC_SLL_4_i--] = X##_f[0] << _FP_FRAC_SLL_4_up; \ | |
70 | } \ | |
71 | for (; _FP_FRAC_SLL_4_i >= 0; --_FP_FRAC_SLL_4_i) \ | |
72 | X##_f[_FP_FRAC_SLL_4_i] = 0; \ | |
73 | } \ | |
1e145589 | 74 | while (0) |
d876f532 | 75 | |
c4fe3ea7 | 76 | /* This one was broken too. */ |
3a6e9887 JM |
77 | #define _FP_FRAC_SRL_4(X, N) \ |
78 | do \ | |
79 | { \ | |
80 | _FP_I_TYPE _FP_FRAC_SRL_4_up, _FP_FRAC_SRL_4_down; \ | |
81 | _FP_I_TYPE _FP_FRAC_SRL_4_skip, _FP_FRAC_SRL_4_i; \ | |
82 | _FP_FRAC_SRL_4_skip = (N) / _FP_W_TYPE_SIZE; \ | |
83 | _FP_FRAC_SRL_4_down = (N) % _FP_W_TYPE_SIZE; \ | |
84 | _FP_FRAC_SRL_4_up = _FP_W_TYPE_SIZE - _FP_FRAC_SRL_4_down; \ | |
85 | if (!_FP_FRAC_SRL_4_down) \ | |
86 | for (_FP_FRAC_SRL_4_i = 0; \ | |
87 | _FP_FRAC_SRL_4_i <= 3-_FP_FRAC_SRL_4_skip; \ | |
88 | ++_FP_FRAC_SRL_4_i) \ | |
89 | X##_f[_FP_FRAC_SRL_4_i] \ | |
90 | = X##_f[_FP_FRAC_SRL_4_i+_FP_FRAC_SRL_4_skip]; \ | |
91 | else \ | |
92 | { \ | |
93 | for (_FP_FRAC_SRL_4_i = 0; \ | |
94 | _FP_FRAC_SRL_4_i < 3-_FP_FRAC_SRL_4_skip; \ | |
95 | ++_FP_FRAC_SRL_4_i) \ | |
96 | X##_f[_FP_FRAC_SRL_4_i] \ | |
97 | = ((X##_f[_FP_FRAC_SRL_4_i+_FP_FRAC_SRL_4_skip] \ | |
98 | >> _FP_FRAC_SRL_4_down) \ | |
99 | | (X##_f[_FP_FRAC_SRL_4_i+_FP_FRAC_SRL_4_skip+1] \ | |
100 | << _FP_FRAC_SRL_4_up)); \ | |
101 | X##_f[_FP_FRAC_SRL_4_i++] = X##_f[3] >> _FP_FRAC_SRL_4_down; \ | |
102 | } \ | |
103 | for (; _FP_FRAC_SRL_4_i < 4; ++_FP_FRAC_SRL_4_i) \ | |
104 | X##_f[_FP_FRAC_SRL_4_i] = 0; \ | |
105 | } \ | |
1e145589 | 106 | while (0) |
d876f532 UD |
107 | |
108 | ||
9c84384c | 109 | /* Right shift with sticky-lsb. |
c4fe3ea7 JM |
110 | What this actually means is that we do a standard right-shift, |
111 | but that if any of the bits that fall off the right hand side | |
112 | were one then we always set the LSbit. */ | |
3a6e9887 JM |
113 | #define _FP_FRAC_SRST_4(X, S, N, size) \ |
114 | do \ | |
115 | { \ | |
116 | _FP_I_TYPE _FP_FRAC_SRST_4_up, _FP_FRAC_SRST_4_down; \ | |
117 | _FP_I_TYPE _FP_FRAC_SRST_4_skip, _FP_FRAC_SRST_4_i; \ | |
118 | _FP_W_TYPE _FP_FRAC_SRST_4_s; \ | |
119 | _FP_FRAC_SRST_4_skip = (N) / _FP_W_TYPE_SIZE; \ | |
120 | _FP_FRAC_SRST_4_down = (N) % _FP_W_TYPE_SIZE; \ | |
121 | _FP_FRAC_SRST_4_up = _FP_W_TYPE_SIZE - _FP_FRAC_SRST_4_down; \ | |
122 | for (_FP_FRAC_SRST_4_s = _FP_FRAC_SRST_4_i = 0; \ | |
123 | _FP_FRAC_SRST_4_i < _FP_FRAC_SRST_4_skip; \ | |
124 | ++_FP_FRAC_SRST_4_i) \ | |
125 | _FP_FRAC_SRST_4_s |= X##_f[_FP_FRAC_SRST_4_i]; \ | |
126 | if (!_FP_FRAC_SRST_4_down) \ | |
127 | for (_FP_FRAC_SRST_4_i = 0; \ | |
128 | _FP_FRAC_SRST_4_i <= 3-_FP_FRAC_SRST_4_skip; \ | |
129 | ++_FP_FRAC_SRST_4_i) \ | |
130 | X##_f[_FP_FRAC_SRST_4_i] \ | |
131 | = X##_f[_FP_FRAC_SRST_4_i+_FP_FRAC_SRST_4_skip]; \ | |
132 | else \ | |
133 | { \ | |
134 | _FP_FRAC_SRST_4_s \ | |
135 | |= X##_f[_FP_FRAC_SRST_4_i] << _FP_FRAC_SRST_4_up; \ | |
136 | for (_FP_FRAC_SRST_4_i = 0; \ | |
137 | _FP_FRAC_SRST_4_i < 3-_FP_FRAC_SRST_4_skip; \ | |
138 | ++_FP_FRAC_SRST_4_i) \ | |
139 | X##_f[_FP_FRAC_SRST_4_i] \ | |
140 | = ((X##_f[_FP_FRAC_SRST_4_i+_FP_FRAC_SRST_4_skip] \ | |
141 | >> _FP_FRAC_SRST_4_down) \ | |
142 | | (X##_f[_FP_FRAC_SRST_4_i+_FP_FRAC_SRST_4_skip+1] \ | |
143 | << _FP_FRAC_SRST_4_up)); \ | |
144 | X##_f[_FP_FRAC_SRST_4_i++] \ | |
145 | = X##_f[3] >> _FP_FRAC_SRST_4_down; \ | |
146 | } \ | |
147 | for (; _FP_FRAC_SRST_4_i < 4; ++_FP_FRAC_SRST_4_i) \ | |
148 | X##_f[_FP_FRAC_SRST_4_i] = 0; \ | |
149 | S = (_FP_FRAC_SRST_4_s != 0); \ | |
150 | } \ | |
1e145589 | 151 | while (0) |
fe0b1e85 | 152 | |
3a6e9887 JM |
153 | #define _FP_FRAC_SRS_4(X, N, size) \ |
154 | do \ | |
155 | { \ | |
156 | int _FP_FRAC_SRS_4_sticky; \ | |
5c0508a3 | 157 | _FP_FRAC_SRST_4 (X, _FP_FRAC_SRS_4_sticky, (N), (size)); \ |
3a6e9887 JM |
158 | X##_f[0] |= _FP_FRAC_SRS_4_sticky; \ |
159 | } \ | |
1e145589 | 160 | while (0) |
d876f532 | 161 | |
51ca9e29 JM |
162 | #define _FP_FRAC_ADD_4(R, X, Y) \ |
163 | __FP_FRAC_ADD_4 (R##_f[3], R##_f[2], R##_f[1], R##_f[0], \ | |
164 | X##_f[3], X##_f[2], X##_f[1], X##_f[0], \ | |
165 | Y##_f[3], Y##_f[2], Y##_f[1], Y##_f[0]) | |
d876f532 | 166 | |
51ca9e29 JM |
167 | #define _FP_FRAC_SUB_4(R, X, Y) \ |
168 | __FP_FRAC_SUB_4 (R##_f[3], R##_f[2], R##_f[1], R##_f[0], \ | |
169 | X##_f[3], X##_f[2], X##_f[1], X##_f[0], \ | |
170 | Y##_f[3], Y##_f[2], Y##_f[1], Y##_f[0]) | |
d876f532 | 171 | |
51ca9e29 JM |
172 | #define _FP_FRAC_DEC_4(X, Y) \ |
173 | __FP_FRAC_DEC_4 (X##_f[3], X##_f[2], X##_f[1], X##_f[0], \ | |
174 | Y##_f[3], Y##_f[2], Y##_f[1], Y##_f[0]) | |
d876f532 | 175 | |
51ca9e29 JM |
176 | #define _FP_FRAC_ADDI_4(X, I) \ |
177 | __FP_FRAC_ADDI_4 (X##_f[3], X##_f[2], X##_f[1], X##_f[0], I) | |
d876f532 | 178 | |
51ca9e29 JM |
179 | #define _FP_ZEROFRAC_4 0, 0, 0, 0 |
180 | #define _FP_MINFRAC_4 0, 0, 0, 1 | |
181 | #define _FP_MAXFRAC_4 (~(_FP_WS_TYPE) 0), (~(_FP_WS_TYPE) 0), (~(_FP_WS_TYPE) 0), (~(_FP_WS_TYPE) 0) | |
d876f532 UD |
182 | |
183 | #define _FP_FRAC_ZEROP_4(X) ((X##_f[0] | X##_f[1] | X##_f[2] | X##_f[3]) == 0) | |
51ca9e29 JM |
184 | #define _FP_FRAC_NEGP_4(X) ((_FP_WS_TYPE) X##_f[3] < 0) |
185 | #define _FP_FRAC_OVERP_4(fs, X) (_FP_FRAC_HIGH_##fs (X) & _FP_OVERFLOW_##fs) | |
186 | #define _FP_FRAC_HIGHBIT_DW_4(fs, X) \ | |
187 | (_FP_FRAC_HIGH_DW_##fs (X) & _FP_HIGHBIT_DW_##fs) | |
188 | #define _FP_FRAC_CLEAR_OVERP_4(fs, X) (_FP_FRAC_HIGH_##fs (X) &= ~_FP_OVERFLOW_##fs) | |
d876f532 | 189 | |
51ca9e29 | 190 | #define _FP_FRAC_EQ_4(X, Y) \ |
1e145589 JM |
191 | (X##_f[0] == Y##_f[0] && X##_f[1] == Y##_f[1] \ |
192 | && X##_f[2] == Y##_f[2] && X##_f[3] == Y##_f[3]) | |
d876f532 | 193 | |
51ca9e29 | 194 | #define _FP_FRAC_GT_4(X, Y) \ |
1e145589 JM |
195 | (X##_f[3] > Y##_f[3] \ |
196 | || (X##_f[3] == Y##_f[3] \ | |
197 | && (X##_f[2] > Y##_f[2] \ | |
198 | || (X##_f[2] == Y##_f[2] \ | |
199 | && (X##_f[1] > Y##_f[1] \ | |
200 | || (X##_f[1] == Y##_f[1] \ | |
201 | && X##_f[0] > Y##_f[0])))))) | |
d876f532 | 202 | |
51ca9e29 | 203 | #define _FP_FRAC_GE_4(X, Y) \ |
1e145589 JM |
204 | (X##_f[3] > Y##_f[3] \ |
205 | || (X##_f[3] == Y##_f[3] \ | |
206 | && (X##_f[2] > Y##_f[2] \ | |
207 | || (X##_f[2] == Y##_f[2] \ | |
208 | && (X##_f[1] > Y##_f[1] \ | |
209 | || (X##_f[1] == Y##_f[1] \ | |
210 | && X##_f[0] >= Y##_f[0])))))) | |
211 | ||
212 | ||
51ca9e29 | 213 | #define _FP_FRAC_CLZ_4(R, X) \ |
1e145589 JM |
214 | do \ |
215 | { \ | |
216 | if (X##_f[3]) \ | |
5c0508a3 | 217 | __FP_CLZ ((R), X##_f[3]); \ |
1e145589 JM |
218 | else if (X##_f[2]) \ |
219 | { \ | |
5c0508a3 JM |
220 | __FP_CLZ ((R), X##_f[2]); \ |
221 | (R) += _FP_W_TYPE_SIZE; \ | |
1e145589 JM |
222 | } \ |
223 | else if (X##_f[1]) \ | |
224 | { \ | |
5c0508a3 JM |
225 | __FP_CLZ ((R), X##_f[1]); \ |
226 | (R) += _FP_W_TYPE_SIZE*2; \ | |
1e145589 JM |
227 | } \ |
228 | else \ | |
229 | { \ | |
5c0508a3 JM |
230 | __FP_CLZ ((R), X##_f[0]); \ |
231 | (R) += _FP_W_TYPE_SIZE*3; \ | |
1e145589 JM |
232 | } \ |
233 | } \ | |
51ca9e29 | 234 | while (0) |
1e145589 JM |
235 | |
236 | ||
3a6e9887 JM |
237 | #define _FP_UNPACK_RAW_4(fs, X, val) \ |
238 | do \ | |
239 | { \ | |
240 | union _FP_UNION_##fs _FP_UNPACK_RAW_4_flo; \ | |
241 | _FP_UNPACK_RAW_4_flo.flt = (val); \ | |
242 | X##_f[0] = _FP_UNPACK_RAW_4_flo.bits.frac0; \ | |
243 | X##_f[1] = _FP_UNPACK_RAW_4_flo.bits.frac1; \ | |
244 | X##_f[2] = _FP_UNPACK_RAW_4_flo.bits.frac2; \ | |
245 | X##_f[3] = _FP_UNPACK_RAW_4_flo.bits.frac3; \ | |
246 | X##_e = _FP_UNPACK_RAW_4_flo.bits.exp; \ | |
247 | X##_s = _FP_UNPACK_RAW_4_flo.bits.sign; \ | |
248 | } \ | |
1e145589 JM |
249 | while (0) |
250 | ||
3a6e9887 JM |
251 | #define _FP_UNPACK_RAW_4_P(fs, X, val) \ |
252 | do \ | |
253 | { \ | |
254 | union _FP_UNION_##fs *_FP_UNPACK_RAW_4_P_flo \ | |
255 | = (union _FP_UNION_##fs *) (val); \ | |
256 | \ | |
257 | X##_f[0] = _FP_UNPACK_RAW_4_P_flo->bits.frac0; \ | |
258 | X##_f[1] = _FP_UNPACK_RAW_4_P_flo->bits.frac1; \ | |
259 | X##_f[2] = _FP_UNPACK_RAW_4_P_flo->bits.frac2; \ | |
260 | X##_f[3] = _FP_UNPACK_RAW_4_P_flo->bits.frac3; \ | |
261 | X##_e = _FP_UNPACK_RAW_4_P_flo->bits.exp; \ | |
262 | X##_s = _FP_UNPACK_RAW_4_P_flo->bits.sign; \ | |
263 | } \ | |
1e145589 JM |
264 | while (0) |
265 | ||
266 | #define _FP_PACK_RAW_4(fs, val, X) \ | |
267 | do \ | |
268 | { \ | |
3a6e9887 JM |
269 | union _FP_UNION_##fs _FP_PACK_RAW_4_flo; \ |
270 | _FP_PACK_RAW_4_flo.bits.frac0 = X##_f[0]; \ | |
271 | _FP_PACK_RAW_4_flo.bits.frac1 = X##_f[1]; \ | |
272 | _FP_PACK_RAW_4_flo.bits.frac2 = X##_f[2]; \ | |
273 | _FP_PACK_RAW_4_flo.bits.frac3 = X##_f[3]; \ | |
274 | _FP_PACK_RAW_4_flo.bits.exp = X##_e; \ | |
275 | _FP_PACK_RAW_4_flo.bits.sign = X##_s; \ | |
276 | (val) = _FP_PACK_RAW_4_flo.flt; \ | |
1e145589 JM |
277 | } \ |
278 | while (0) | |
279 | ||
3a6e9887 JM |
280 | #define _FP_PACK_RAW_4_P(fs, val, X) \ |
281 | do \ | |
282 | { \ | |
283 | union _FP_UNION_##fs *_FP_PACK_RAW_4_P_flo \ | |
284 | = (union _FP_UNION_##fs *) (val); \ | |
285 | \ | |
286 | _FP_PACK_RAW_4_P_flo->bits.frac0 = X##_f[0]; \ | |
287 | _FP_PACK_RAW_4_P_flo->bits.frac1 = X##_f[1]; \ | |
288 | _FP_PACK_RAW_4_P_flo->bits.frac2 = X##_f[2]; \ | |
289 | _FP_PACK_RAW_4_P_flo->bits.frac3 = X##_f[3]; \ | |
290 | _FP_PACK_RAW_4_P_flo->bits.exp = X##_e; \ | |
291 | _FP_PACK_RAW_4_P_flo->bits.sign = X##_s; \ | |
292 | } \ | |
1e145589 | 293 | while (0) |
d876f532 | 294 | |
c4fe3ea7 | 295 | /* Multiplication algorithms: */ |
d876f532 UD |
296 | |
297 | /* Given a 1W * 1W => 2W primitive, do the extended multiplication. */ | |
298 | ||
1e145589 JM |
299 | #define _FP_MUL_MEAT_DW_4_wide(wfracbits, R, X, Y, doit) \ |
300 | do \ | |
301 | { \ | |
3a6e9887 JM |
302 | _FP_FRAC_DECL_2 (_FP_MUL_MEAT_DW_4_wide_b); \ |
303 | _FP_FRAC_DECL_2 (_FP_MUL_MEAT_DW_4_wide_c); \ | |
304 | _FP_FRAC_DECL_2 (_FP_MUL_MEAT_DW_4_wide_d); \ | |
305 | _FP_FRAC_DECL_2 (_FP_MUL_MEAT_DW_4_wide_e); \ | |
306 | _FP_FRAC_DECL_2 (_FP_MUL_MEAT_DW_4_wide_f); \ | |
1e145589 | 307 | \ |
3a6e9887 JM |
308 | doit (_FP_FRAC_WORD_8 (R, 1), _FP_FRAC_WORD_8 (R, 0), \ |
309 | X##_f[0], Y##_f[0]); \ | |
310 | doit (_FP_MUL_MEAT_DW_4_wide_b_f1, _FP_MUL_MEAT_DW_4_wide_b_f0, \ | |
311 | X##_f[0], Y##_f[1]); \ | |
312 | doit (_FP_MUL_MEAT_DW_4_wide_c_f1, _FP_MUL_MEAT_DW_4_wide_c_f0, \ | |
313 | X##_f[1], Y##_f[0]); \ | |
314 | doit (_FP_MUL_MEAT_DW_4_wide_d_f1, _FP_MUL_MEAT_DW_4_wide_d_f0, \ | |
315 | X##_f[1], Y##_f[1]); \ | |
316 | doit (_FP_MUL_MEAT_DW_4_wide_e_f1, _FP_MUL_MEAT_DW_4_wide_e_f0, \ | |
317 | X##_f[0], Y##_f[2]); \ | |
318 | doit (_FP_MUL_MEAT_DW_4_wide_f_f1, _FP_MUL_MEAT_DW_4_wide_f_f0, \ | |
319 | X##_f[2], Y##_f[0]); \ | |
51ca9e29 | 320 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 3), _FP_FRAC_WORD_8 (R, 2), \ |
3a6e9887 JM |
321 | _FP_FRAC_WORD_8 (R, 1), 0, \ |
322 | _FP_MUL_MEAT_DW_4_wide_b_f1, \ | |
323 | _FP_MUL_MEAT_DW_4_wide_b_f0, \ | |
51ca9e29 JM |
324 | 0, 0, _FP_FRAC_WORD_8 (R, 1)); \ |
325 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 3), _FP_FRAC_WORD_8 (R, 2), \ | |
3a6e9887 JM |
326 | _FP_FRAC_WORD_8 (R, 1), 0, \ |
327 | _FP_MUL_MEAT_DW_4_wide_c_f1, \ | |
328 | _FP_MUL_MEAT_DW_4_wide_c_f0, \ | |
51ca9e29 JM |
329 | _FP_FRAC_WORD_8 (R, 3), _FP_FRAC_WORD_8 (R, 2), \ |
330 | _FP_FRAC_WORD_8 (R, 1)); \ | |
331 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3), \ | |
3a6e9887 JM |
332 | _FP_FRAC_WORD_8 (R, 2), 0, \ |
333 | _FP_MUL_MEAT_DW_4_wide_d_f1, \ | |
334 | _FP_MUL_MEAT_DW_4_wide_d_f0, \ | |
51ca9e29 JM |
335 | 0, _FP_FRAC_WORD_8 (R, 3), _FP_FRAC_WORD_8 (R, 2)); \ |
336 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3), \ | |
3a6e9887 JM |
337 | _FP_FRAC_WORD_8 (R, 2), 0, \ |
338 | _FP_MUL_MEAT_DW_4_wide_e_f1, \ | |
339 | _FP_MUL_MEAT_DW_4_wide_e_f0, \ | |
51ca9e29 JM |
340 | _FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3), \ |
341 | _FP_FRAC_WORD_8 (R, 2)); \ | |
342 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3), \ | |
3a6e9887 JM |
343 | _FP_FRAC_WORD_8 (R, 2), 0, \ |
344 | _FP_MUL_MEAT_DW_4_wide_f_f1, \ | |
345 | _FP_MUL_MEAT_DW_4_wide_f_f0, \ | |
51ca9e29 JM |
346 | _FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3), \ |
347 | _FP_FRAC_WORD_8 (R, 2)); \ | |
3a6e9887 JM |
348 | doit (_FP_MUL_MEAT_DW_4_wide_b_f1, \ |
349 | _FP_MUL_MEAT_DW_4_wide_b_f0, X##_f[0], Y##_f[3]); \ | |
350 | doit (_FP_MUL_MEAT_DW_4_wide_c_f1, \ | |
351 | _FP_MUL_MEAT_DW_4_wide_c_f0, X##_f[3], Y##_f[0]); \ | |
352 | doit (_FP_MUL_MEAT_DW_4_wide_d_f1, _FP_MUL_MEAT_DW_4_wide_d_f0, \ | |
353 | X##_f[1], Y##_f[2]); \ | |
354 | doit (_FP_MUL_MEAT_DW_4_wide_e_f1, _FP_MUL_MEAT_DW_4_wide_e_f0, \ | |
355 | X##_f[2], Y##_f[1]); \ | |
51ca9e29 | 356 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \ |
3a6e9887 JM |
357 | _FP_FRAC_WORD_8 (R, 3), 0, \ |
358 | _FP_MUL_MEAT_DW_4_wide_b_f1, \ | |
359 | _FP_MUL_MEAT_DW_4_wide_b_f0, \ | |
51ca9e29 JM |
360 | 0, _FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3)); \ |
361 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \ | |
3a6e9887 JM |
362 | _FP_FRAC_WORD_8 (R, 3), 0, \ |
363 | _FP_MUL_MEAT_DW_4_wide_c_f1, \ | |
364 | _FP_MUL_MEAT_DW_4_wide_c_f0, \ | |
51ca9e29 JM |
365 | _FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \ |
366 | _FP_FRAC_WORD_8 (R, 3)); \ | |
367 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \ | |
3a6e9887 JM |
368 | _FP_FRAC_WORD_8 (R, 3), 0, \ |
369 | _FP_MUL_MEAT_DW_4_wide_d_f1, \ | |
370 | _FP_MUL_MEAT_DW_4_wide_d_f0, \ | |
51ca9e29 JM |
371 | _FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \ |
372 | _FP_FRAC_WORD_8 (R, 3)); \ | |
373 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \ | |
3a6e9887 JM |
374 | _FP_FRAC_WORD_8 (R, 3), 0, \ |
375 | _FP_MUL_MEAT_DW_4_wide_e_f1, \ | |
376 | _FP_MUL_MEAT_DW_4_wide_e_f0, \ | |
51ca9e29 JM |
377 | _FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \ |
378 | _FP_FRAC_WORD_8 (R, 3)); \ | |
3a6e9887 JM |
379 | doit (_FP_MUL_MEAT_DW_4_wide_b_f1, _FP_MUL_MEAT_DW_4_wide_b_f0, \ |
380 | X##_f[2], Y##_f[2]); \ | |
381 | doit (_FP_MUL_MEAT_DW_4_wide_c_f1, _FP_MUL_MEAT_DW_4_wide_c_f0, \ | |
382 | X##_f[1], Y##_f[3]); \ | |
383 | doit (_FP_MUL_MEAT_DW_4_wide_d_f1, _FP_MUL_MEAT_DW_4_wide_d_f0, \ | |
384 | X##_f[3], Y##_f[1]); \ | |
385 | doit (_FP_MUL_MEAT_DW_4_wide_e_f1, _FP_MUL_MEAT_DW_4_wide_e_f0, \ | |
386 | X##_f[2], Y##_f[3]); \ | |
387 | doit (_FP_MUL_MEAT_DW_4_wide_f_f1, _FP_MUL_MEAT_DW_4_wide_f_f0, \ | |
388 | X##_f[3], Y##_f[2]); \ | |
51ca9e29 | 389 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5), \ |
3a6e9887 JM |
390 | _FP_FRAC_WORD_8 (R, 4), 0, \ |
391 | _FP_MUL_MEAT_DW_4_wide_b_f1, \ | |
392 | _FP_MUL_MEAT_DW_4_wide_b_f0, \ | |
51ca9e29 JM |
393 | 0, _FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4)); \ |
394 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5), \ | |
3a6e9887 JM |
395 | _FP_FRAC_WORD_8 (R, 4), 0, \ |
396 | _FP_MUL_MEAT_DW_4_wide_c_f1, \ | |
397 | _FP_MUL_MEAT_DW_4_wide_c_f0, \ | |
51ca9e29 JM |
398 | _FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5), \ |
399 | _FP_FRAC_WORD_8 (R, 4)); \ | |
400 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5), \ | |
3a6e9887 JM |
401 | _FP_FRAC_WORD_8 (R, 4), 0, \ |
402 | _FP_MUL_MEAT_DW_4_wide_d_f1, \ | |
403 | _FP_MUL_MEAT_DW_4_wide_d_f0, \ | |
51ca9e29 JM |
404 | _FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5), \ |
405 | _FP_FRAC_WORD_8 (R, 4)); \ | |
406 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 7), _FP_FRAC_WORD_8 (R, 6), \ | |
3a6e9887 JM |
407 | _FP_FRAC_WORD_8 (R, 5), 0, \ |
408 | _FP_MUL_MEAT_DW_4_wide_e_f1, \ | |
409 | _FP_MUL_MEAT_DW_4_wide_e_f0, \ | |
51ca9e29 JM |
410 | 0, _FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5)); \ |
411 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 7), _FP_FRAC_WORD_8 (R, 6), \ | |
3a6e9887 JM |
412 | _FP_FRAC_WORD_8 (R, 5), 0, \ |
413 | _FP_MUL_MEAT_DW_4_wide_f_f1, \ | |
414 | _FP_MUL_MEAT_DW_4_wide_f_f0, \ | |
51ca9e29 JM |
415 | _FP_FRAC_WORD_8 (R, 7), _FP_FRAC_WORD_8 (R, 6), \ |
416 | _FP_FRAC_WORD_8 (R, 5)); \ | |
3a6e9887 JM |
417 | doit (_FP_MUL_MEAT_DW_4_wide_b_f1, _FP_MUL_MEAT_DW_4_wide_b_f0, \ |
418 | X##_f[3], Y##_f[3]); \ | |
51ca9e29 | 419 | __FP_FRAC_ADD_2 (_FP_FRAC_WORD_8 (R, 7), _FP_FRAC_WORD_8 (R, 6), \ |
3a6e9887 JM |
420 | _FP_MUL_MEAT_DW_4_wide_b_f1, \ |
421 | _FP_MUL_MEAT_DW_4_wide_b_f0, \ | |
51ca9e29 | 422 | _FP_FRAC_WORD_8 (R, 7), _FP_FRAC_WORD_8 (R, 6)); \ |
1e145589 JM |
423 | } \ |
424 | while (0) | |
425 | ||
426 | #define _FP_MUL_MEAT_4_wide(wfracbits, R, X, Y, doit) \ | |
427 | do \ | |
428 | { \ | |
3a6e9887 | 429 | _FP_FRAC_DECL_8 (_FP_MUL_MEAT_4_wide_z); \ |
1e145589 | 430 | \ |
5c0508a3 | 431 | _FP_MUL_MEAT_DW_4_wide ((wfracbits), _FP_MUL_MEAT_4_wide_z, \ |
3a6e9887 | 432 | X, Y, doit); \ |
1e145589 JM |
433 | \ |
434 | /* Normalize since we know where the msb of the multiplicands \ | |
435 | were (bit B), we know that the msb of the of the product is \ | |
436 | at either 2B or 2B-1. */ \ | |
5c0508a3 JM |
437 | _FP_FRAC_SRS_8 (_FP_MUL_MEAT_4_wide_z, (wfracbits)-1, \ |
438 | 2*(wfracbits)); \ | |
3a6e9887 JM |
439 | __FP_FRAC_SET_4 (R, _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_wide_z, 3), \ |
440 | _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_wide_z, 2), \ | |
441 | _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_wide_z, 1), \ | |
442 | _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_wide_z, 0)); \ | |
1e145589 JM |
443 | } \ |
444 | while (0) | |
445 | ||
446 | #define _FP_MUL_MEAT_DW_4_gmp(wfracbits, R, X, Y) \ | |
447 | do \ | |
448 | { \ | |
51ca9e29 | 449 | mpn_mul_n (R##_f, _x_f, _y_f, 4); \ |
1e145589 JM |
450 | } \ |
451 | while (0) | |
452 | ||
453 | #define _FP_MUL_MEAT_4_gmp(wfracbits, R, X, Y) \ | |
454 | do \ | |
455 | { \ | |
3a6e9887 | 456 | _FP_FRAC_DECL_8 (_FP_MUL_MEAT_4_gmp_z); \ |
1e145589 | 457 | \ |
5c0508a3 | 458 | _FP_MUL_MEAT_DW_4_gmp ((wfracbits), _FP_MUL_MEAT_4_gmp_z, X, Y); \ |
1e145589 JM |
459 | \ |
460 | /* Normalize since we know where the msb of the multiplicands \ | |
461 | were (bit B), we know that the msb of the of the product is \ | |
462 | at either 2B or 2B-1. */ \ | |
5c0508a3 JM |
463 | _FP_FRAC_SRS_8 (_FP_MUL_MEAT_4_gmp_z, (wfracbits)-1, \ |
464 | 2*(wfracbits)); \ | |
3a6e9887 JM |
465 | __FP_FRAC_SET_4 (R, _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_gmp_z, 3), \ |
466 | _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_gmp_z, 2), \ | |
467 | _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_gmp_z, 1), \ | |
468 | _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_gmp_z, 0)); \ | |
1e145589 JM |
469 | } \ |
470 | while (0) | |
d876f532 | 471 | |
c4fe3ea7 JM |
472 | /* Helper utility for _FP_DIV_MEAT_4_udiv: |
473 | * pppp = m * nnn. */ | |
51ca9e29 JM |
474 | #define umul_ppppmnnn(p3, p2, p1, p0, m, n2, n1, n0) \ |
475 | do \ | |
476 | { \ | |
3a6e9887 | 477 | UWtype umul_ppppmnnn_t; \ |
51ca9e29 | 478 | umul_ppmm (p1, p0, m, n0); \ |
3a6e9887 JM |
479 | umul_ppmm (p2, umul_ppppmnnn_t, m, n1); \ |
480 | __FP_FRAC_ADDI_2 (p2, p1, umul_ppppmnnn_t); \ | |
481 | umul_ppmm (p3, umul_ppppmnnn_t, m, n2); \ | |
482 | __FP_FRAC_ADDI_2 (p3, p2, umul_ppppmnnn_t); \ | |
51ca9e29 | 483 | } \ |
1e145589 | 484 | while (0) |
d876f532 | 485 | |
c4fe3ea7 | 486 | /* Division algorithms: */ |
d876f532 | 487 | |
1e145589 JM |
488 | #define _FP_DIV_MEAT_4_udiv(fs, R, X, Y) \ |
489 | do \ | |
490 | { \ | |
3a6e9887 JM |
491 | int _FP_DIV_MEAT_4_udiv_i; \ |
492 | _FP_FRAC_DECL_4 (_FP_DIV_MEAT_4_udiv_n); \ | |
493 | _FP_FRAC_DECL_4 (_FP_DIV_MEAT_4_udiv_m); \ | |
494 | _FP_FRAC_SET_4 (_FP_DIV_MEAT_4_udiv_n, _FP_ZEROFRAC_4); \ | |
51ca9e29 | 495 | if (_FP_FRAC_GE_4 (X, Y)) \ |
1e145589 | 496 | { \ |
3a6e9887 JM |
497 | _FP_DIV_MEAT_4_udiv_n_f[3] \ |
498 | = X##_f[0] << (_FP_W_TYPE_SIZE - 1); \ | |
51ca9e29 | 499 | _FP_FRAC_SRL_4 (X, 1); \ |
1e145589 JM |
500 | } \ |
501 | else \ | |
502 | R##_e--; \ | |
503 | \ | |
504 | /* Normalize, i.e. make the most significant bit of the \ | |
c4fe3ea7 | 505 | denominator set. */ \ |
51ca9e29 | 506 | _FP_FRAC_SLL_4 (Y, _FP_WFRACXBITS_##fs); \ |
1e145589 | 507 | \ |
3a6e9887 | 508 | for (_FP_DIV_MEAT_4_udiv_i = 3; ; _FP_DIV_MEAT_4_udiv_i--) \ |
1e145589 JM |
509 | { \ |
510 | if (X##_f[3] == Y##_f[3]) \ | |
511 | { \ | |
512 | /* This is a special case, not an optimization \ | |
513 | (X##_f[3]/Y##_f[3] would not fit into UWtype). \ | |
3a6e9887 JM |
514 | As X## is guaranteed to be < Y, \ |
515 | R##_f[_FP_DIV_MEAT_4_udiv_i] can be either \ | |
1e145589 | 516 | (UWtype)-1 or (UWtype)-2. */ \ |
3a6e9887 JM |
517 | R##_f[_FP_DIV_MEAT_4_udiv_i] = -1; \ |
518 | if (!_FP_DIV_MEAT_4_udiv_i) \ | |
1e145589 | 519 | break; \ |
51ca9e29 JM |
520 | __FP_FRAC_SUB_4 (X##_f[3], X##_f[2], X##_f[1], X##_f[0], \ |
521 | Y##_f[2], Y##_f[1], Y##_f[0], 0, \ | |
3a6e9887 JM |
522 | X##_f[2], X##_f[1], X##_f[0], \ |
523 | _FP_DIV_MEAT_4_udiv_n_f[_FP_DIV_MEAT_4_udiv_i]); \ | |
51ca9e29 | 524 | _FP_FRAC_SUB_4 (X, Y, X); \ |
1e145589 JM |
525 | if (X##_f[3] > Y##_f[3]) \ |
526 | { \ | |
3a6e9887 | 527 | R##_f[_FP_DIV_MEAT_4_udiv_i] = -2; \ |
51ca9e29 | 528 | _FP_FRAC_ADD_4 (X, Y, X); \ |
1e145589 JM |
529 | } \ |
530 | } \ | |
531 | else \ | |
532 | { \ | |
3a6e9887 JM |
533 | udiv_qrnnd (R##_f[_FP_DIV_MEAT_4_udiv_i], \ |
534 | X##_f[3], X##_f[3], X##_f[2], Y##_f[3]); \ | |
535 | umul_ppppmnnn (_FP_DIV_MEAT_4_udiv_m_f[3], \ | |
536 | _FP_DIV_MEAT_4_udiv_m_f[2], \ | |
537 | _FP_DIV_MEAT_4_udiv_m_f[1], \ | |
538 | _FP_DIV_MEAT_4_udiv_m_f[0], \ | |
539 | R##_f[_FP_DIV_MEAT_4_udiv_i], \ | |
540 | Y##_f[2], Y##_f[1], Y##_f[0]); \ | |
1e145589 JM |
541 | X##_f[2] = X##_f[1]; \ |
542 | X##_f[1] = X##_f[0]; \ | |
3a6e9887 JM |
543 | X##_f[0] \ |
544 | = _FP_DIV_MEAT_4_udiv_n_f[_FP_DIV_MEAT_4_udiv_i]; \ | |
545 | if (_FP_FRAC_GT_4 (_FP_DIV_MEAT_4_udiv_m, X)) \ | |
1e145589 | 546 | { \ |
3a6e9887 | 547 | R##_f[_FP_DIV_MEAT_4_udiv_i]--; \ |
51ca9e29 | 548 | _FP_FRAC_ADD_4 (X, Y, X); \ |
3a6e9887 JM |
549 | if (_FP_FRAC_GE_4 (X, Y) \ |
550 | && _FP_FRAC_GT_4 (_FP_DIV_MEAT_4_udiv_m, X)) \ | |
1e145589 | 551 | { \ |
3a6e9887 | 552 | R##_f[_FP_DIV_MEAT_4_udiv_i]--; \ |
51ca9e29 | 553 | _FP_FRAC_ADD_4 (X, Y, X); \ |
1e145589 JM |
554 | } \ |
555 | } \ | |
3a6e9887 JM |
556 | _FP_FRAC_DEC_4 (X, _FP_DIV_MEAT_4_udiv_m); \ |
557 | if (!_FP_DIV_MEAT_4_udiv_i) \ | |
1e145589 | 558 | { \ |
3a6e9887 | 559 | if (!_FP_FRAC_EQ_4 (X, _FP_DIV_MEAT_4_udiv_m)) \ |
1e145589 JM |
560 | R##_f[0] |= _FP_WORK_STICKY; \ |
561 | break; \ | |
562 | } \ | |
563 | } \ | |
564 | } \ | |
565 | } \ | |
566 | while (0) | |
d876f532 UD |
567 | |
568 | ||
c4fe3ea7 JM |
569 | /* Square root algorithms: |
570 | We have just one right now, maybe Newton approximation | |
571 | should be added for those machines where division is fast. */ | |
9c84384c | 572 | |
1e145589 JM |
573 | #define _FP_SQRT_MEAT_4(R, S, T, X, q) \ |
574 | do \ | |
575 | { \ | |
576 | while (q) \ | |
577 | { \ | |
5c0508a3 | 578 | T##_f[3] = S##_f[3] + (q); \ |
1e145589 JM |
579 | if (T##_f[3] <= X##_f[3]) \ |
580 | { \ | |
5c0508a3 | 581 | S##_f[3] = T##_f[3] + (q); \ |
1e145589 | 582 | X##_f[3] -= T##_f[3]; \ |
5c0508a3 | 583 | R##_f[3] += (q); \ |
1e145589 | 584 | } \ |
51ca9e29 | 585 | _FP_FRAC_SLL_4 (X, 1); \ |
5c0508a3 | 586 | (q) >>= 1; \ |
1e145589 | 587 | } \ |
5c0508a3 | 588 | (q) = (_FP_W_TYPE) 1 << (_FP_W_TYPE_SIZE - 1); \ |
1e145589 JM |
589 | while (q) \ |
590 | { \ | |
5c0508a3 | 591 | T##_f[2] = S##_f[2] + (q); \ |
1e145589 JM |
592 | T##_f[3] = S##_f[3]; \ |
593 | if (T##_f[3] < X##_f[3] \ | |
594 | || (T##_f[3] == X##_f[3] && T##_f[2] <= X##_f[2])) \ | |
595 | { \ | |
5c0508a3 | 596 | S##_f[2] = T##_f[2] + (q); \ |
1e145589 | 597 | S##_f[3] += (T##_f[2] > S##_f[2]); \ |
51ca9e29 JM |
598 | __FP_FRAC_DEC_2 (X##_f[3], X##_f[2], \ |
599 | T##_f[3], T##_f[2]); \ | |
5c0508a3 | 600 | R##_f[2] += (q); \ |
1e145589 | 601 | } \ |
51ca9e29 | 602 | _FP_FRAC_SLL_4 (X, 1); \ |
5c0508a3 | 603 | (q) >>= 1; \ |
1e145589 | 604 | } \ |
5c0508a3 | 605 | (q) = (_FP_W_TYPE) 1 << (_FP_W_TYPE_SIZE - 1); \ |
1e145589 JM |
606 | while (q) \ |
607 | { \ | |
5c0508a3 | 608 | T##_f[1] = S##_f[1] + (q); \ |
1e145589 JM |
609 | T##_f[2] = S##_f[2]; \ |
610 | T##_f[3] = S##_f[3]; \ | |
611 | if (T##_f[3] < X##_f[3] \ | |
612 | || (T##_f[3] == X##_f[3] \ | |
613 | && (T##_f[2] < X##_f[2] \ | |
614 | || (T##_f[2] == X##_f[2] \ | |
615 | && T##_f[1] <= X##_f[1])))) \ | |
616 | { \ | |
5c0508a3 | 617 | S##_f[1] = T##_f[1] + (q); \ |
1e145589 JM |
618 | S##_f[2] += (T##_f[1] > S##_f[1]); \ |
619 | S##_f[3] += (T##_f[2] > S##_f[2]); \ | |
51ca9e29 JM |
620 | __FP_FRAC_DEC_3 (X##_f[3], X##_f[2], X##_f[1], \ |
621 | T##_f[3], T##_f[2], T##_f[1]); \ | |
5c0508a3 | 622 | R##_f[1] += (q); \ |
1e145589 | 623 | } \ |
51ca9e29 | 624 | _FP_FRAC_SLL_4 (X, 1); \ |
5c0508a3 | 625 | (q) >>= 1; \ |
1e145589 | 626 | } \ |
5c0508a3 JM |
627 | (q) = (_FP_W_TYPE) 1 << (_FP_W_TYPE_SIZE - 1); \ |
628 | while ((q) != _FP_WORK_ROUND) \ | |
1e145589 | 629 | { \ |
5c0508a3 | 630 | T##_f[0] = S##_f[0] + (q); \ |
1e145589 JM |
631 | T##_f[1] = S##_f[1]; \ |
632 | T##_f[2] = S##_f[2]; \ | |
633 | T##_f[3] = S##_f[3]; \ | |
51ca9e29 | 634 | if (_FP_FRAC_GE_4 (X, T)) \ |
1e145589 | 635 | { \ |
5c0508a3 | 636 | S##_f[0] = T##_f[0] + (q); \ |
1e145589 JM |
637 | S##_f[1] += (T##_f[0] > S##_f[0]); \ |
638 | S##_f[2] += (T##_f[1] > S##_f[1]); \ | |
639 | S##_f[3] += (T##_f[2] > S##_f[2]); \ | |
51ca9e29 | 640 | _FP_FRAC_DEC_4 (X, T); \ |
5c0508a3 | 641 | R##_f[0] += (q); \ |
1e145589 | 642 | } \ |
51ca9e29 | 643 | _FP_FRAC_SLL_4 (X, 1); \ |
5c0508a3 | 644 | (q) >>= 1; \ |
1e145589 | 645 | } \ |
51ca9e29 | 646 | if (!_FP_FRAC_ZEROP_4 (X)) \ |
1e145589 | 647 | { \ |
51ca9e29 | 648 | if (_FP_FRAC_GT_4 (X, S)) \ |
1e145589 JM |
649 | R##_f[0] |= _FP_WORK_ROUND; \ |
650 | R##_f[0] |= _FP_WORK_STICKY; \ | |
651 | } \ | |
652 | } \ | |
653 | while (0) | |
d876f532 UD |
654 | |
655 | ||
c4fe3ea7 | 656 | /* Internals. */ |
d876f532 | 657 | |
51ca9e29 | 658 | #define __FP_FRAC_SET_4(X, I3, I2, I1, I0) \ |
d876f532 UD |
659 | (X##_f[3] = I3, X##_f[2] = I2, X##_f[1] = I1, X##_f[0] = I0) |
660 | ||
661 | #ifndef __FP_FRAC_ADD_3 | |
51ca9e29 | 662 | # define __FP_FRAC_ADD_3(r2, r1, r0, x2, x1, x0, y2, y1, y0) \ |
1e145589 JM |
663 | do \ |
664 | { \ | |
665 | _FP_W_TYPE __FP_FRAC_ADD_3_c1, __FP_FRAC_ADD_3_c2; \ | |
666 | r0 = x0 + y0; \ | |
667 | __FP_FRAC_ADD_3_c1 = r0 < x0; \ | |
668 | r1 = x1 + y1; \ | |
669 | __FP_FRAC_ADD_3_c2 = r1 < x1; \ | |
670 | r1 += __FP_FRAC_ADD_3_c1; \ | |
671 | __FP_FRAC_ADD_3_c2 |= r1 < __FP_FRAC_ADD_3_c1; \ | |
672 | r2 = x2 + y2 + __FP_FRAC_ADD_3_c2; \ | |
673 | } \ | |
674 | while (0) | |
d876f532 UD |
675 | #endif |
676 | ||
677 | #ifndef __FP_FRAC_ADD_4 | |
51ca9e29 JM |
678 | # define __FP_FRAC_ADD_4(r3, r2, r1, r0, x3, x2, x1, x0, y3, y2, y1, y0) \ |
679 | do \ | |
680 | { \ | |
3a6e9887 JM |
681 | _FP_W_TYPE __FP_FRAC_ADD_4_c1, __FP_FRAC_ADD_4_c2; \ |
682 | _FP_W_TYPE __FP_FRAC_ADD_4_c3; \ | |
51ca9e29 | 683 | r0 = x0 + y0; \ |
3a6e9887 | 684 | __FP_FRAC_ADD_4_c1 = r0 < x0; \ |
51ca9e29 | 685 | r1 = x1 + y1; \ |
3a6e9887 JM |
686 | __FP_FRAC_ADD_4_c2 = r1 < x1; \ |
687 | r1 += __FP_FRAC_ADD_4_c1; \ | |
688 | __FP_FRAC_ADD_4_c2 |= r1 < __FP_FRAC_ADD_4_c1; \ | |
51ca9e29 | 689 | r2 = x2 + y2; \ |
3a6e9887 JM |
690 | __FP_FRAC_ADD_4_c3 = r2 < x2; \ |
691 | r2 += __FP_FRAC_ADD_4_c2; \ | |
692 | __FP_FRAC_ADD_4_c3 |= r2 < __FP_FRAC_ADD_4_c2; \ | |
693 | r3 = x3 + y3 + __FP_FRAC_ADD_4_c3; \ | |
51ca9e29 | 694 | } \ |
1e145589 | 695 | while (0) |
d876f532 UD |
696 | #endif |
697 | ||
698 | #ifndef __FP_FRAC_SUB_3 | |
ff48ea67 ZL |
699 | # define __FP_FRAC_SUB_3(r2, r1, r0, x2, x1, x0, y2, y1, y0) \ |
700 | do \ | |
701 | { \ | |
702 | _FP_W_TYPE __FP_FRAC_SUB_3_tmp[2]; \ | |
703 | _FP_W_TYPE __FP_FRAC_SUB_3_c1, __FP_FRAC_SUB_3_c2; \ | |
704 | __FP_FRAC_SUB_3_tmp[0] = x0 - y0; \ | |
705 | __FP_FRAC_SUB_3_c1 = __FP_FRAC_SUB_3_tmp[0] > x0; \ | |
706 | __FP_FRAC_SUB_3_tmp[1] = x1 - y1; \ | |
707 | __FP_FRAC_SUB_3_c2 = __FP_FRAC_SUB_3_tmp[1] > x1; \ | |
708 | __FP_FRAC_SUB_3_tmp[1] -= __FP_FRAC_SUB_3_c1; \ | |
709 | __FP_FRAC_SUB_3_c2 |= __FP_FRAC_SUB_3_c1 && (y1 == x1); \ | |
710 | r2 = x2 - y2 - __FP_FRAC_SUB_3_c2; \ | |
711 | r1 = __FP_FRAC_SUB_3_tmp[1]; \ | |
712 | r0 = __FP_FRAC_SUB_3_tmp[0]; \ | |
713 | } \ | |
1e145589 | 714 | while (0) |
d876f532 UD |
715 | #endif |
716 | ||
51ca9e29 JM |
717 | #ifndef __FP_FRAC_SUB_4 |
718 | # define __FP_FRAC_SUB_4(r3, r2, r1, r0, x3, x2, x1, x0, y3, y2, y1, y0) \ | |
ff48ea67 ZL |
719 | do \ |
720 | { \ | |
721 | _FP_W_TYPE __FP_FRAC_SUB_4_tmp[3]; \ | |
722 | _FP_W_TYPE __FP_FRAC_SUB_4_c1, __FP_FRAC_SUB_4_c2; \ | |
723 | _FP_W_TYPE __FP_FRAC_SUB_4_c3; \ | |
724 | __FP_FRAC_SUB_4_tmp[0] = x0 - y0; \ | |
725 | __FP_FRAC_SUB_4_c1 = __FP_FRAC_SUB_4_tmp[0] > x0; \ | |
726 | __FP_FRAC_SUB_4_tmp[1] = x1 - y1; \ | |
727 | __FP_FRAC_SUB_4_c2 = __FP_FRAC_SUB_4_tmp[1] > x1; \ | |
728 | __FP_FRAC_SUB_4_tmp[1] -= __FP_FRAC_SUB_4_c1; \ | |
729 | __FP_FRAC_SUB_4_c2 |= __FP_FRAC_SUB_4_c1 && (y1 == x1); \ | |
730 | __FP_FRAC_SUB_4_tmp[2] = x2 - y2; \ | |
731 | __FP_FRAC_SUB_4_c3 = __FP_FRAC_SUB_4_tmp[2] > x2; \ | |
732 | __FP_FRAC_SUB_4_tmp[2] -= __FP_FRAC_SUB_4_c2; \ | |
733 | __FP_FRAC_SUB_4_c3 |= __FP_FRAC_SUB_4_c2 && (y2 == x2); \ | |
734 | r3 = x3 - y3 - __FP_FRAC_SUB_4_c3; \ | |
735 | r2 = __FP_FRAC_SUB_4_tmp[2]; \ | |
736 | r1 = __FP_FRAC_SUB_4_tmp[1]; \ | |
737 | r0 = __FP_FRAC_SUB_4_tmp[0]; \ | |
738 | } \ | |
51ca9e29 JM |
739 | while (0) |
740 | #endif | |
741 | ||
d876f532 | 742 | #ifndef __FP_FRAC_DEC_3 |
51ca9e29 | 743 | # define __FP_FRAC_DEC_3(x2, x1, x0, y2, y1, y0) \ |
1e145589 JM |
744 | do \ |
745 | { \ | |
3a6e9887 JM |
746 | UWtype __FP_FRAC_DEC_3_t0, __FP_FRAC_DEC_3_t1; \ |
747 | UWtype __FP_FRAC_DEC_3_t2; \ | |
748 | __FP_FRAC_DEC_3_t0 = x0; \ | |
749 | __FP_FRAC_DEC_3_t1 = x1; \ | |
750 | __FP_FRAC_DEC_3_t2 = x2; \ | |
751 | __FP_FRAC_SUB_3 (x2, x1, x0, __FP_FRAC_DEC_3_t2, \ | |
752 | __FP_FRAC_DEC_3_t1, __FP_FRAC_DEC_3_t0, \ | |
753 | y2, y1, y0); \ | |
1e145589 JM |
754 | } \ |
755 | while (0) | |
d876f532 UD |
756 | #endif |
757 | ||
758 | #ifndef __FP_FRAC_DEC_4 | |
3a6e9887 JM |
759 | # define __FP_FRAC_DEC_4(x3, x2, x1, x0, y3, y2, y1, y0) \ |
760 | do \ | |
761 | { \ | |
762 | UWtype __FP_FRAC_DEC_4_t0, __FP_FRAC_DEC_4_t1; \ | |
763 | UWtype __FP_FRAC_DEC_4_t2, __FP_FRAC_DEC_4_t3; \ | |
764 | __FP_FRAC_DEC_4_t0 = x0; \ | |
765 | __FP_FRAC_DEC_4_t1 = x1; \ | |
766 | __FP_FRAC_DEC_4_t2 = x2; \ | |
767 | __FP_FRAC_DEC_4_t3 = x3; \ | |
768 | __FP_FRAC_SUB_4 (x3, x2, x1, x0, __FP_FRAC_DEC_4_t3, \ | |
769 | __FP_FRAC_DEC_4_t2, __FP_FRAC_DEC_4_t1, \ | |
770 | __FP_FRAC_DEC_4_t0, y3, y2, y1, y0); \ | |
771 | } \ | |
1e145589 | 772 | while (0) |
d876f532 UD |
773 | #endif |
774 | ||
775 | #ifndef __FP_FRAC_ADDI_4 | |
3a6e9887 JM |
776 | # define __FP_FRAC_ADDI_4(x3, x2, x1, x0, i) \ |
777 | do \ | |
778 | { \ | |
779 | UWtype __FP_FRAC_ADDI_4_t; \ | |
780 | __FP_FRAC_ADDI_4_t = ((x0 += i) < i); \ | |
781 | x1 += __FP_FRAC_ADDI_4_t; \ | |
782 | __FP_FRAC_ADDI_4_t = (x1 < __FP_FRAC_ADDI_4_t); \ | |
783 | x2 += __FP_FRAC_ADDI_4_t; \ | |
784 | __FP_FRAC_ADDI_4_t = (x2 < __FP_FRAC_ADDI_4_t); \ | |
785 | x3 += __FP_FRAC_ADDI_4_t; \ | |
786 | } \ | |
1e145589 | 787 | while (0) |
d876f532 UD |
788 | #endif |
789 | ||
790 | /* Convert FP values between word sizes. This appears to be more | |
c4fe3ea7 JM |
791 | complicated than I'd have expected it to be, so these might be |
792 | wrong... These macros are in any case somewhat bogus because they | |
793 | use information about what various FRAC_n variables look like | |
794 | internally [eg, that 2 word vars are X_f0 and x_f1]. But so do | |
795 | the ones in op-2.h and op-1.h. */ | |
fe0b1e85 | 796 | #define _FP_FRAC_COPY_1_4(D, S) (D##_f = S##_f[0]) |
d876f532 | 797 | |
fe0b1e85 | 798 | #define _FP_FRAC_COPY_2_4(D, S) \ |
1e145589 JM |
799 | do \ |
800 | { \ | |
801 | D##_f0 = S##_f[0]; \ | |
802 | D##_f1 = S##_f[1]; \ | |
803 | } \ | |
804 | while (0) | |
d876f532 | 805 | |
9c84384c | 806 | /* Assembly/disassembly for converting to/from integral types. |
c4fe3ea7 JM |
807 | No shifting or overflow handled here. */ |
808 | /* Put the FP value X into r, which is an integer of size rsize. */ | |
d876f532 | 809 | #define _FP_FRAC_ASSEMBLE_4(r, X, rsize) \ |
1e145589 | 810 | do \ |
d876f532 | 811 | { \ |
5c0508a3 JM |
812 | if ((rsize) <= _FP_W_TYPE_SIZE) \ |
813 | (r) = X##_f[0]; \ | |
814 | else if ((rsize) <= 2*_FP_W_TYPE_SIZE) \ | |
1e145589 | 815 | { \ |
5c0508a3 JM |
816 | (r) = X##_f[1]; \ |
817 | (r) = ((rsize) <= _FP_W_TYPE_SIZE \ | |
818 | ? 0 \ | |
819 | : (r) << _FP_W_TYPE_SIZE); \ | |
820 | (r) += X##_f[0]; \ | |
1e145589 JM |
821 | } \ |
822 | else \ | |
823 | { \ | |
c4fe3ea7 JM |
824 | /* I'm feeling lazy so we deal with int == 3words \ |
825 | (implausible) and int == 4words as a single case. */ \ | |
5c0508a3 JM |
826 | (r) = X##_f[3]; \ |
827 | (r) = ((rsize) <= _FP_W_TYPE_SIZE \ | |
828 | ? 0 \ | |
829 | : (r) << _FP_W_TYPE_SIZE); \ | |
830 | (r) += X##_f[2]; \ | |
831 | (r) = ((rsize) <= _FP_W_TYPE_SIZE \ | |
832 | ? 0 \ | |
833 | : (r) << _FP_W_TYPE_SIZE); \ | |
834 | (r) += X##_f[1]; \ | |
835 | (r) = ((rsize) <= _FP_W_TYPE_SIZE \ | |
836 | ? 0 \ | |
837 | : (r) << _FP_W_TYPE_SIZE); \ | |
838 | (r) += X##_f[0]; \ | |
1e145589 | 839 | } \ |
d876f532 | 840 | } \ |
1e145589 | 841 | while (0) |
d876f532 UD |
842 | |
843 | /* "No disassemble Number Five!" */ | |
c4fe3ea7 JM |
844 | /* Move an integer of size rsize into X's fractional part. We rely on |
845 | the _f[] array consisting of words of size _FP_W_TYPE_SIZE to avoid | |
846 | having to mask the values we store into it. */ | |
5c0508a3 JM |
847 | #define _FP_FRAC_DISASSEMBLE_4(X, r, rsize) \ |
848 | do \ | |
849 | { \ | |
850 | X##_f[0] = (r); \ | |
851 | X##_f[1] = ((rsize) <= _FP_W_TYPE_SIZE \ | |
852 | ? 0 \ | |
853 | : (r) >> _FP_W_TYPE_SIZE); \ | |
854 | X##_f[2] = ((rsize) <= 2*_FP_W_TYPE_SIZE \ | |
855 | ? 0 \ | |
856 | : (r) >> 2*_FP_W_TYPE_SIZE); \ | |
857 | X##_f[3] = ((rsize) <= 3*_FP_W_TYPE_SIZE \ | |
858 | ? 0 \ | |
859 | : (r) >> 3*_FP_W_TYPE_SIZE); \ | |
860 | } \ | |
1e145589 | 861 | while (0) |
d876f532 | 862 | |
fe0b1e85 | 863 | #define _FP_FRAC_COPY_4_1(D, S) \ |
1e145589 JM |
864 | do \ |
865 | { \ | |
866 | D##_f[0] = S##_f; \ | |
867 | D##_f[1] = D##_f[2] = D##_f[3] = 0; \ | |
868 | } \ | |
869 | while (0) | |
fe0b1e85 RM |
870 | |
871 | #define _FP_FRAC_COPY_4_2(D, S) \ | |
1e145589 JM |
872 | do \ |
873 | { \ | |
874 | D##_f[0] = S##_f0; \ | |
875 | D##_f[1] = S##_f1; \ | |
876 | D##_f[2] = D##_f[3] = 0; \ | |
877 | } \ | |
878 | while (0) | |
37002cbc | 879 | |
51ca9e29 | 880 | #define _FP_FRAC_COPY_4_4(D, S) _FP_FRAC_COPY_4 (D, S) |
a2f8be9c JM |
881 | |
882 | #endif /* !SOFT_FP_OP_4_H */ |