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d876f532 UD |
1 | /* Software floating-point emulation. |
2 | Basic four-word fraction declaration and manipulation. | |
6d7e8eda | 3 | Copyright (C) 1997-2023 Free Software Foundation, Inc. |
d876f532 | 4 | This file is part of the GNU C Library. |
d876f532 UD |
5 | |
6 | The GNU C Library is free software; you can redistribute it and/or | |
41bdb6e2 AJ |
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. | |
d876f532 | 10 | |
638a783c RM |
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 | ||
d876f532 UD |
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 | |
41bdb6e2 | 23 | Lesser General Public License for more details. |
d876f532 | 24 | |
41bdb6e2 | 25 | You should have received a copy of the GNU Lesser General Public |
59ba27a6 | 26 | License along with the GNU C Library; if not, see |
5a82c748 | 27 | <https://www.gnu.org/licenses/>. */ |
d876f532 | 28 | |
a2f8be9c JM |
29 | #ifndef SOFT_FP_OP_4_H |
30 | #define SOFT_FP_OP_4_H 1 | |
31 | ||
d876f532 | 32 | #define _FP_FRAC_DECL_4(X) _FP_W_TYPE X##_f[4] |
51ca9e29 | 33 | #define _FP_FRAC_COPY_4(D, S) \ |
d876f532 UD |
34 | (D##_f[0] = S##_f[0], D##_f[1] = S##_f[1], \ |
35 | D##_f[2] = S##_f[2], D##_f[3] = S##_f[3]) | |
51ca9e29 | 36 | #define _FP_FRAC_SET_4(X, I) __FP_FRAC_SET_4 (X, I) |
d876f532 UD |
37 | #define _FP_FRAC_HIGH_4(X) (X##_f[3]) |
38 | #define _FP_FRAC_LOW_4(X) (X##_f[0]) | |
51ca9e29 | 39 | #define _FP_FRAC_WORD_4(X, w) (X##_f[w]) |
d876f532 | 40 | |
3a6e9887 JM |
41 | #define _FP_FRAC_SLL_4(X, N) \ |
42 | do \ | |
43 | { \ | |
44 | _FP_I_TYPE _FP_FRAC_SLL_4_up, _FP_FRAC_SLL_4_down; \ | |
45 | _FP_I_TYPE _FP_FRAC_SLL_4_skip, _FP_FRAC_SLL_4_i; \ | |
46 | _FP_FRAC_SLL_4_skip = (N) / _FP_W_TYPE_SIZE; \ | |
47 | _FP_FRAC_SLL_4_up = (N) % _FP_W_TYPE_SIZE; \ | |
48 | _FP_FRAC_SLL_4_down = _FP_W_TYPE_SIZE - _FP_FRAC_SLL_4_up; \ | |
49 | if (!_FP_FRAC_SLL_4_up) \ | |
50 | for (_FP_FRAC_SLL_4_i = 3; \ | |
51 | _FP_FRAC_SLL_4_i >= _FP_FRAC_SLL_4_skip; \ | |
52 | --_FP_FRAC_SLL_4_i) \ | |
53 | X##_f[_FP_FRAC_SLL_4_i] \ | |
54 | = X##_f[_FP_FRAC_SLL_4_i-_FP_FRAC_SLL_4_skip]; \ | |
55 | else \ | |
56 | { \ | |
57 | for (_FP_FRAC_SLL_4_i = 3; \ | |
58 | _FP_FRAC_SLL_4_i > _FP_FRAC_SLL_4_skip; \ | |
59 | --_FP_FRAC_SLL_4_i) \ | |
60 | X##_f[_FP_FRAC_SLL_4_i] \ | |
61 | = ((X##_f[_FP_FRAC_SLL_4_i-_FP_FRAC_SLL_4_skip] \ | |
62 | << _FP_FRAC_SLL_4_up) \ | |
63 | | (X##_f[_FP_FRAC_SLL_4_i-_FP_FRAC_SLL_4_skip-1] \ | |
64 | >> _FP_FRAC_SLL_4_down)); \ | |
65 | X##_f[_FP_FRAC_SLL_4_i--] = X##_f[0] << _FP_FRAC_SLL_4_up; \ | |
66 | } \ | |
67 | for (; _FP_FRAC_SLL_4_i >= 0; --_FP_FRAC_SLL_4_i) \ | |
68 | X##_f[_FP_FRAC_SLL_4_i] = 0; \ | |
69 | } \ | |
1e145589 | 70 | while (0) |
d876f532 | 71 | |
c4fe3ea7 | 72 | /* This one was broken too. */ |
3a6e9887 JM |
73 | #define _FP_FRAC_SRL_4(X, N) \ |
74 | do \ | |
75 | { \ | |
76 | _FP_I_TYPE _FP_FRAC_SRL_4_up, _FP_FRAC_SRL_4_down; \ | |
77 | _FP_I_TYPE _FP_FRAC_SRL_4_skip, _FP_FRAC_SRL_4_i; \ | |
78 | _FP_FRAC_SRL_4_skip = (N) / _FP_W_TYPE_SIZE; \ | |
79 | _FP_FRAC_SRL_4_down = (N) % _FP_W_TYPE_SIZE; \ | |
80 | _FP_FRAC_SRL_4_up = _FP_W_TYPE_SIZE - _FP_FRAC_SRL_4_down; \ | |
81 | if (!_FP_FRAC_SRL_4_down) \ | |
82 | for (_FP_FRAC_SRL_4_i = 0; \ | |
83 | _FP_FRAC_SRL_4_i <= 3-_FP_FRAC_SRL_4_skip; \ | |
84 | ++_FP_FRAC_SRL_4_i) \ | |
85 | X##_f[_FP_FRAC_SRL_4_i] \ | |
86 | = X##_f[_FP_FRAC_SRL_4_i+_FP_FRAC_SRL_4_skip]; \ | |
87 | else \ | |
88 | { \ | |
89 | for (_FP_FRAC_SRL_4_i = 0; \ | |
90 | _FP_FRAC_SRL_4_i < 3-_FP_FRAC_SRL_4_skip; \ | |
91 | ++_FP_FRAC_SRL_4_i) \ | |
92 | X##_f[_FP_FRAC_SRL_4_i] \ | |
93 | = ((X##_f[_FP_FRAC_SRL_4_i+_FP_FRAC_SRL_4_skip] \ | |
94 | >> _FP_FRAC_SRL_4_down) \ | |
95 | | (X##_f[_FP_FRAC_SRL_4_i+_FP_FRAC_SRL_4_skip+1] \ | |
96 | << _FP_FRAC_SRL_4_up)); \ | |
97 | X##_f[_FP_FRAC_SRL_4_i++] = X##_f[3] >> _FP_FRAC_SRL_4_down; \ | |
98 | } \ | |
99 | for (; _FP_FRAC_SRL_4_i < 4; ++_FP_FRAC_SRL_4_i) \ | |
100 | X##_f[_FP_FRAC_SRL_4_i] = 0; \ | |
101 | } \ | |
1e145589 | 102 | while (0) |
d876f532 UD |
103 | |
104 | ||
9c84384c | 105 | /* Right shift with sticky-lsb. |
c4fe3ea7 JM |
106 | What this actually means is that we do a standard right-shift, |
107 | but that if any of the bits that fall off the right hand side | |
108 | were one then we always set the LSbit. */ | |
3a6e9887 JM |
109 | #define _FP_FRAC_SRST_4(X, S, N, size) \ |
110 | do \ | |
111 | { \ | |
112 | _FP_I_TYPE _FP_FRAC_SRST_4_up, _FP_FRAC_SRST_4_down; \ | |
113 | _FP_I_TYPE _FP_FRAC_SRST_4_skip, _FP_FRAC_SRST_4_i; \ | |
114 | _FP_W_TYPE _FP_FRAC_SRST_4_s; \ | |
115 | _FP_FRAC_SRST_4_skip = (N) / _FP_W_TYPE_SIZE; \ | |
116 | _FP_FRAC_SRST_4_down = (N) % _FP_W_TYPE_SIZE; \ | |
117 | _FP_FRAC_SRST_4_up = _FP_W_TYPE_SIZE - _FP_FRAC_SRST_4_down; \ | |
118 | for (_FP_FRAC_SRST_4_s = _FP_FRAC_SRST_4_i = 0; \ | |
119 | _FP_FRAC_SRST_4_i < _FP_FRAC_SRST_4_skip; \ | |
120 | ++_FP_FRAC_SRST_4_i) \ | |
121 | _FP_FRAC_SRST_4_s |= X##_f[_FP_FRAC_SRST_4_i]; \ | |
122 | if (!_FP_FRAC_SRST_4_down) \ | |
123 | for (_FP_FRAC_SRST_4_i = 0; \ | |
124 | _FP_FRAC_SRST_4_i <= 3-_FP_FRAC_SRST_4_skip; \ | |
125 | ++_FP_FRAC_SRST_4_i) \ | |
126 | X##_f[_FP_FRAC_SRST_4_i] \ | |
127 | = X##_f[_FP_FRAC_SRST_4_i+_FP_FRAC_SRST_4_skip]; \ | |
128 | else \ | |
129 | { \ | |
130 | _FP_FRAC_SRST_4_s \ | |
131 | |= X##_f[_FP_FRAC_SRST_4_i] << _FP_FRAC_SRST_4_up; \ | |
132 | for (_FP_FRAC_SRST_4_i = 0; \ | |
133 | _FP_FRAC_SRST_4_i < 3-_FP_FRAC_SRST_4_skip; \ | |
134 | ++_FP_FRAC_SRST_4_i) \ | |
135 | X##_f[_FP_FRAC_SRST_4_i] \ | |
136 | = ((X##_f[_FP_FRAC_SRST_4_i+_FP_FRAC_SRST_4_skip] \ | |
137 | >> _FP_FRAC_SRST_4_down) \ | |
138 | | (X##_f[_FP_FRAC_SRST_4_i+_FP_FRAC_SRST_4_skip+1] \ | |
139 | << _FP_FRAC_SRST_4_up)); \ | |
140 | X##_f[_FP_FRAC_SRST_4_i++] \ | |
141 | = X##_f[3] >> _FP_FRAC_SRST_4_down; \ | |
142 | } \ | |
143 | for (; _FP_FRAC_SRST_4_i < 4; ++_FP_FRAC_SRST_4_i) \ | |
144 | X##_f[_FP_FRAC_SRST_4_i] = 0; \ | |
145 | S = (_FP_FRAC_SRST_4_s != 0); \ | |
146 | } \ | |
1e145589 | 147 | while (0) |
fe0b1e85 | 148 | |
3a6e9887 JM |
149 | #define _FP_FRAC_SRS_4(X, N, size) \ |
150 | do \ | |
151 | { \ | |
152 | int _FP_FRAC_SRS_4_sticky; \ | |
5c0508a3 | 153 | _FP_FRAC_SRST_4 (X, _FP_FRAC_SRS_4_sticky, (N), (size)); \ |
3a6e9887 JM |
154 | X##_f[0] |= _FP_FRAC_SRS_4_sticky; \ |
155 | } \ | |
1e145589 | 156 | while (0) |
d876f532 | 157 | |
51ca9e29 JM |
158 | #define _FP_FRAC_ADD_4(R, X, Y) \ |
159 | __FP_FRAC_ADD_4 (R##_f[3], R##_f[2], R##_f[1], R##_f[0], \ | |
160 | X##_f[3], X##_f[2], X##_f[1], X##_f[0], \ | |
161 | Y##_f[3], Y##_f[2], Y##_f[1], Y##_f[0]) | |
d876f532 | 162 | |
51ca9e29 JM |
163 | #define _FP_FRAC_SUB_4(R, X, Y) \ |
164 | __FP_FRAC_SUB_4 (R##_f[3], R##_f[2], R##_f[1], R##_f[0], \ | |
165 | X##_f[3], X##_f[2], X##_f[1], X##_f[0], \ | |
166 | Y##_f[3], Y##_f[2], Y##_f[1], Y##_f[0]) | |
d876f532 | 167 | |
51ca9e29 JM |
168 | #define _FP_FRAC_DEC_4(X, Y) \ |
169 | __FP_FRAC_DEC_4 (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_ADDI_4(X, I) \ |
173 | __FP_FRAC_ADDI_4 (X##_f[3], X##_f[2], X##_f[1], X##_f[0], I) | |
d876f532 | 174 | |
51ca9e29 JM |
175 | #define _FP_ZEROFRAC_4 0, 0, 0, 0 |
176 | #define _FP_MINFRAC_4 0, 0, 0, 1 | |
177 | #define _FP_MAXFRAC_4 (~(_FP_WS_TYPE) 0), (~(_FP_WS_TYPE) 0), (~(_FP_WS_TYPE) 0), (~(_FP_WS_TYPE) 0) | |
d876f532 UD |
178 | |
179 | #define _FP_FRAC_ZEROP_4(X) ((X##_f[0] | X##_f[1] | X##_f[2] | X##_f[3]) == 0) | |
51ca9e29 JM |
180 | #define _FP_FRAC_NEGP_4(X) ((_FP_WS_TYPE) X##_f[3] < 0) |
181 | #define _FP_FRAC_OVERP_4(fs, X) (_FP_FRAC_HIGH_##fs (X) & _FP_OVERFLOW_##fs) | |
182 | #define _FP_FRAC_HIGHBIT_DW_4(fs, X) \ | |
183 | (_FP_FRAC_HIGH_DW_##fs (X) & _FP_HIGHBIT_DW_##fs) | |
184 | #define _FP_FRAC_CLEAR_OVERP_4(fs, X) (_FP_FRAC_HIGH_##fs (X) &= ~_FP_OVERFLOW_##fs) | |
d876f532 | 185 | |
51ca9e29 | 186 | #define _FP_FRAC_EQ_4(X, Y) \ |
1e145589 JM |
187 | (X##_f[0] == Y##_f[0] && X##_f[1] == Y##_f[1] \ |
188 | && X##_f[2] == Y##_f[2] && X##_f[3] == Y##_f[3]) | |
d876f532 | 189 | |
51ca9e29 | 190 | #define _FP_FRAC_GT_4(X, Y) \ |
1e145589 JM |
191 | (X##_f[3] > Y##_f[3] \ |
192 | || (X##_f[3] == Y##_f[3] \ | |
193 | && (X##_f[2] > Y##_f[2] \ | |
194 | || (X##_f[2] == Y##_f[2] \ | |
195 | && (X##_f[1] > Y##_f[1] \ | |
196 | || (X##_f[1] == Y##_f[1] \ | |
197 | && X##_f[0] > Y##_f[0])))))) | |
d876f532 | 198 | |
51ca9e29 | 199 | #define _FP_FRAC_GE_4(X, Y) \ |
1e145589 JM |
200 | (X##_f[3] > Y##_f[3] \ |
201 | || (X##_f[3] == Y##_f[3] \ | |
202 | && (X##_f[2] > Y##_f[2] \ | |
203 | || (X##_f[2] == Y##_f[2] \ | |
204 | && (X##_f[1] > Y##_f[1] \ | |
205 | || (X##_f[1] == Y##_f[1] \ | |
206 | && X##_f[0] >= Y##_f[0])))))) | |
207 | ||
208 | ||
51ca9e29 | 209 | #define _FP_FRAC_CLZ_4(R, X) \ |
1e145589 JM |
210 | do \ |
211 | { \ | |
212 | if (X##_f[3]) \ | |
5c0508a3 | 213 | __FP_CLZ ((R), X##_f[3]); \ |
1e145589 JM |
214 | else if (X##_f[2]) \ |
215 | { \ | |
5c0508a3 JM |
216 | __FP_CLZ ((R), X##_f[2]); \ |
217 | (R) += _FP_W_TYPE_SIZE; \ | |
1e145589 JM |
218 | } \ |
219 | else if (X##_f[1]) \ | |
220 | { \ | |
5c0508a3 JM |
221 | __FP_CLZ ((R), X##_f[1]); \ |
222 | (R) += _FP_W_TYPE_SIZE*2; \ | |
1e145589 JM |
223 | } \ |
224 | else \ | |
225 | { \ | |
5c0508a3 JM |
226 | __FP_CLZ ((R), X##_f[0]); \ |
227 | (R) += _FP_W_TYPE_SIZE*3; \ | |
1e145589 JM |
228 | } \ |
229 | } \ | |
51ca9e29 | 230 | while (0) |
1e145589 JM |
231 | |
232 | ||
3a6e9887 JM |
233 | #define _FP_UNPACK_RAW_4(fs, X, val) \ |
234 | do \ | |
235 | { \ | |
236 | union _FP_UNION_##fs _FP_UNPACK_RAW_4_flo; \ | |
237 | _FP_UNPACK_RAW_4_flo.flt = (val); \ | |
238 | X##_f[0] = _FP_UNPACK_RAW_4_flo.bits.frac0; \ | |
239 | X##_f[1] = _FP_UNPACK_RAW_4_flo.bits.frac1; \ | |
240 | X##_f[2] = _FP_UNPACK_RAW_4_flo.bits.frac2; \ | |
241 | X##_f[3] = _FP_UNPACK_RAW_4_flo.bits.frac3; \ | |
242 | X##_e = _FP_UNPACK_RAW_4_flo.bits.exp; \ | |
243 | X##_s = _FP_UNPACK_RAW_4_flo.bits.sign; \ | |
244 | } \ | |
1e145589 JM |
245 | while (0) |
246 | ||
3a6e9887 JM |
247 | #define _FP_UNPACK_RAW_4_P(fs, X, val) \ |
248 | do \ | |
249 | { \ | |
250 | union _FP_UNION_##fs *_FP_UNPACK_RAW_4_P_flo \ | |
251 | = (union _FP_UNION_##fs *) (val); \ | |
252 | \ | |
253 | X##_f[0] = _FP_UNPACK_RAW_4_P_flo->bits.frac0; \ | |
254 | X##_f[1] = _FP_UNPACK_RAW_4_P_flo->bits.frac1; \ | |
255 | X##_f[2] = _FP_UNPACK_RAW_4_P_flo->bits.frac2; \ | |
256 | X##_f[3] = _FP_UNPACK_RAW_4_P_flo->bits.frac3; \ | |
257 | X##_e = _FP_UNPACK_RAW_4_P_flo->bits.exp; \ | |
258 | X##_s = _FP_UNPACK_RAW_4_P_flo->bits.sign; \ | |
259 | } \ | |
1e145589 JM |
260 | while (0) |
261 | ||
262 | #define _FP_PACK_RAW_4(fs, val, X) \ | |
263 | do \ | |
264 | { \ | |
3a6e9887 JM |
265 | union _FP_UNION_##fs _FP_PACK_RAW_4_flo; \ |
266 | _FP_PACK_RAW_4_flo.bits.frac0 = X##_f[0]; \ | |
267 | _FP_PACK_RAW_4_flo.bits.frac1 = X##_f[1]; \ | |
268 | _FP_PACK_RAW_4_flo.bits.frac2 = X##_f[2]; \ | |
269 | _FP_PACK_RAW_4_flo.bits.frac3 = X##_f[3]; \ | |
270 | _FP_PACK_RAW_4_flo.bits.exp = X##_e; \ | |
271 | _FP_PACK_RAW_4_flo.bits.sign = X##_s; \ | |
272 | (val) = _FP_PACK_RAW_4_flo.flt; \ | |
1e145589 JM |
273 | } \ |
274 | while (0) | |
275 | ||
3a6e9887 JM |
276 | #define _FP_PACK_RAW_4_P(fs, val, X) \ |
277 | do \ | |
278 | { \ | |
279 | union _FP_UNION_##fs *_FP_PACK_RAW_4_P_flo \ | |
280 | = (union _FP_UNION_##fs *) (val); \ | |
281 | \ | |
282 | _FP_PACK_RAW_4_P_flo->bits.frac0 = X##_f[0]; \ | |
283 | _FP_PACK_RAW_4_P_flo->bits.frac1 = X##_f[1]; \ | |
284 | _FP_PACK_RAW_4_P_flo->bits.frac2 = X##_f[2]; \ | |
285 | _FP_PACK_RAW_4_P_flo->bits.frac3 = X##_f[3]; \ | |
286 | _FP_PACK_RAW_4_P_flo->bits.exp = X##_e; \ | |
287 | _FP_PACK_RAW_4_P_flo->bits.sign = X##_s; \ | |
288 | } \ | |
1e145589 | 289 | while (0) |
d876f532 | 290 | |
c4fe3ea7 | 291 | /* Multiplication algorithms: */ |
d876f532 UD |
292 | |
293 | /* Given a 1W * 1W => 2W primitive, do the extended multiplication. */ | |
294 | ||
1e145589 JM |
295 | #define _FP_MUL_MEAT_DW_4_wide(wfracbits, R, X, Y, doit) \ |
296 | do \ | |
297 | { \ | |
3a6e9887 JM |
298 | _FP_FRAC_DECL_2 (_FP_MUL_MEAT_DW_4_wide_b); \ |
299 | _FP_FRAC_DECL_2 (_FP_MUL_MEAT_DW_4_wide_c); \ | |
300 | _FP_FRAC_DECL_2 (_FP_MUL_MEAT_DW_4_wide_d); \ | |
301 | _FP_FRAC_DECL_2 (_FP_MUL_MEAT_DW_4_wide_e); \ | |
302 | _FP_FRAC_DECL_2 (_FP_MUL_MEAT_DW_4_wide_f); \ | |
1e145589 | 303 | \ |
3a6e9887 JM |
304 | doit (_FP_FRAC_WORD_8 (R, 1), _FP_FRAC_WORD_8 (R, 0), \ |
305 | X##_f[0], Y##_f[0]); \ | |
306 | doit (_FP_MUL_MEAT_DW_4_wide_b_f1, _FP_MUL_MEAT_DW_4_wide_b_f0, \ | |
307 | X##_f[0], Y##_f[1]); \ | |
308 | doit (_FP_MUL_MEAT_DW_4_wide_c_f1, _FP_MUL_MEAT_DW_4_wide_c_f0, \ | |
309 | X##_f[1], Y##_f[0]); \ | |
310 | doit (_FP_MUL_MEAT_DW_4_wide_d_f1, _FP_MUL_MEAT_DW_4_wide_d_f0, \ | |
311 | X##_f[1], Y##_f[1]); \ | |
312 | doit (_FP_MUL_MEAT_DW_4_wide_e_f1, _FP_MUL_MEAT_DW_4_wide_e_f0, \ | |
313 | X##_f[0], Y##_f[2]); \ | |
314 | doit (_FP_MUL_MEAT_DW_4_wide_f_f1, _FP_MUL_MEAT_DW_4_wide_f_f0, \ | |
315 | X##_f[2], Y##_f[0]); \ | |
51ca9e29 | 316 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 3), _FP_FRAC_WORD_8 (R, 2), \ |
3a6e9887 JM |
317 | _FP_FRAC_WORD_8 (R, 1), 0, \ |
318 | _FP_MUL_MEAT_DW_4_wide_b_f1, \ | |
319 | _FP_MUL_MEAT_DW_4_wide_b_f0, \ | |
51ca9e29 JM |
320 | 0, 0, _FP_FRAC_WORD_8 (R, 1)); \ |
321 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 3), _FP_FRAC_WORD_8 (R, 2), \ | |
3a6e9887 JM |
322 | _FP_FRAC_WORD_8 (R, 1), 0, \ |
323 | _FP_MUL_MEAT_DW_4_wide_c_f1, \ | |
324 | _FP_MUL_MEAT_DW_4_wide_c_f0, \ | |
51ca9e29 JM |
325 | _FP_FRAC_WORD_8 (R, 3), _FP_FRAC_WORD_8 (R, 2), \ |
326 | _FP_FRAC_WORD_8 (R, 1)); \ | |
327 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3), \ | |
3a6e9887 JM |
328 | _FP_FRAC_WORD_8 (R, 2), 0, \ |
329 | _FP_MUL_MEAT_DW_4_wide_d_f1, \ | |
330 | _FP_MUL_MEAT_DW_4_wide_d_f0, \ | |
51ca9e29 JM |
331 | 0, _FP_FRAC_WORD_8 (R, 3), _FP_FRAC_WORD_8 (R, 2)); \ |
332 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3), \ | |
3a6e9887 JM |
333 | _FP_FRAC_WORD_8 (R, 2), 0, \ |
334 | _FP_MUL_MEAT_DW_4_wide_e_f1, \ | |
335 | _FP_MUL_MEAT_DW_4_wide_e_f0, \ | |
51ca9e29 JM |
336 | _FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3), \ |
337 | _FP_FRAC_WORD_8 (R, 2)); \ | |
338 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3), \ | |
3a6e9887 JM |
339 | _FP_FRAC_WORD_8 (R, 2), 0, \ |
340 | _FP_MUL_MEAT_DW_4_wide_f_f1, \ | |
341 | _FP_MUL_MEAT_DW_4_wide_f_f0, \ | |
51ca9e29 JM |
342 | _FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3), \ |
343 | _FP_FRAC_WORD_8 (R, 2)); \ | |
3a6e9887 JM |
344 | doit (_FP_MUL_MEAT_DW_4_wide_b_f1, \ |
345 | _FP_MUL_MEAT_DW_4_wide_b_f0, X##_f[0], Y##_f[3]); \ | |
346 | doit (_FP_MUL_MEAT_DW_4_wide_c_f1, \ | |
347 | _FP_MUL_MEAT_DW_4_wide_c_f0, X##_f[3], Y##_f[0]); \ | |
348 | doit (_FP_MUL_MEAT_DW_4_wide_d_f1, _FP_MUL_MEAT_DW_4_wide_d_f0, \ | |
349 | X##_f[1], Y##_f[2]); \ | |
350 | doit (_FP_MUL_MEAT_DW_4_wide_e_f1, _FP_MUL_MEAT_DW_4_wide_e_f0, \ | |
351 | X##_f[2], Y##_f[1]); \ | |
51ca9e29 | 352 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \ |
3a6e9887 JM |
353 | _FP_FRAC_WORD_8 (R, 3), 0, \ |
354 | _FP_MUL_MEAT_DW_4_wide_b_f1, \ | |
355 | _FP_MUL_MEAT_DW_4_wide_b_f0, \ | |
51ca9e29 JM |
356 | 0, _FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3)); \ |
357 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \ | |
3a6e9887 JM |
358 | _FP_FRAC_WORD_8 (R, 3), 0, \ |
359 | _FP_MUL_MEAT_DW_4_wide_c_f1, \ | |
360 | _FP_MUL_MEAT_DW_4_wide_c_f0, \ | |
51ca9e29 JM |
361 | _FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \ |
362 | _FP_FRAC_WORD_8 (R, 3)); \ | |
363 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \ | |
3a6e9887 JM |
364 | _FP_FRAC_WORD_8 (R, 3), 0, \ |
365 | _FP_MUL_MEAT_DW_4_wide_d_f1, \ | |
366 | _FP_MUL_MEAT_DW_4_wide_d_f0, \ | |
51ca9e29 JM |
367 | _FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \ |
368 | _FP_FRAC_WORD_8 (R, 3)); \ | |
369 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \ | |
3a6e9887 JM |
370 | _FP_FRAC_WORD_8 (R, 3), 0, \ |
371 | _FP_MUL_MEAT_DW_4_wide_e_f1, \ | |
372 | _FP_MUL_MEAT_DW_4_wide_e_f0, \ | |
51ca9e29 JM |
373 | _FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \ |
374 | _FP_FRAC_WORD_8 (R, 3)); \ | |
3a6e9887 JM |
375 | doit (_FP_MUL_MEAT_DW_4_wide_b_f1, _FP_MUL_MEAT_DW_4_wide_b_f0, \ |
376 | X##_f[2], Y##_f[2]); \ | |
377 | doit (_FP_MUL_MEAT_DW_4_wide_c_f1, _FP_MUL_MEAT_DW_4_wide_c_f0, \ | |
378 | X##_f[1], Y##_f[3]); \ | |
379 | doit (_FP_MUL_MEAT_DW_4_wide_d_f1, _FP_MUL_MEAT_DW_4_wide_d_f0, \ | |
380 | X##_f[3], Y##_f[1]); \ | |
381 | doit (_FP_MUL_MEAT_DW_4_wide_e_f1, _FP_MUL_MEAT_DW_4_wide_e_f0, \ | |
382 | X##_f[2], Y##_f[3]); \ | |
383 | doit (_FP_MUL_MEAT_DW_4_wide_f_f1, _FP_MUL_MEAT_DW_4_wide_f_f0, \ | |
384 | X##_f[3], Y##_f[2]); \ | |
51ca9e29 | 385 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5), \ |
3a6e9887 JM |
386 | _FP_FRAC_WORD_8 (R, 4), 0, \ |
387 | _FP_MUL_MEAT_DW_4_wide_b_f1, \ | |
388 | _FP_MUL_MEAT_DW_4_wide_b_f0, \ | |
51ca9e29 JM |
389 | 0, _FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4)); \ |
390 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5), \ | |
3a6e9887 JM |
391 | _FP_FRAC_WORD_8 (R, 4), 0, \ |
392 | _FP_MUL_MEAT_DW_4_wide_c_f1, \ | |
393 | _FP_MUL_MEAT_DW_4_wide_c_f0, \ | |
51ca9e29 JM |
394 | _FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5), \ |
395 | _FP_FRAC_WORD_8 (R, 4)); \ | |
396 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5), \ | |
3a6e9887 JM |
397 | _FP_FRAC_WORD_8 (R, 4), 0, \ |
398 | _FP_MUL_MEAT_DW_4_wide_d_f1, \ | |
399 | _FP_MUL_MEAT_DW_4_wide_d_f0, \ | |
51ca9e29 JM |
400 | _FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5), \ |
401 | _FP_FRAC_WORD_8 (R, 4)); \ | |
402 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 7), _FP_FRAC_WORD_8 (R, 6), \ | |
3a6e9887 JM |
403 | _FP_FRAC_WORD_8 (R, 5), 0, \ |
404 | _FP_MUL_MEAT_DW_4_wide_e_f1, \ | |
405 | _FP_MUL_MEAT_DW_4_wide_e_f0, \ | |
51ca9e29 JM |
406 | 0, _FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5)); \ |
407 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 7), _FP_FRAC_WORD_8 (R, 6), \ | |
3a6e9887 JM |
408 | _FP_FRAC_WORD_8 (R, 5), 0, \ |
409 | _FP_MUL_MEAT_DW_4_wide_f_f1, \ | |
410 | _FP_MUL_MEAT_DW_4_wide_f_f0, \ | |
51ca9e29 JM |
411 | _FP_FRAC_WORD_8 (R, 7), _FP_FRAC_WORD_8 (R, 6), \ |
412 | _FP_FRAC_WORD_8 (R, 5)); \ | |
3a6e9887 JM |
413 | doit (_FP_MUL_MEAT_DW_4_wide_b_f1, _FP_MUL_MEAT_DW_4_wide_b_f0, \ |
414 | X##_f[3], Y##_f[3]); \ | |
51ca9e29 | 415 | __FP_FRAC_ADD_2 (_FP_FRAC_WORD_8 (R, 7), _FP_FRAC_WORD_8 (R, 6), \ |
3a6e9887 JM |
416 | _FP_MUL_MEAT_DW_4_wide_b_f1, \ |
417 | _FP_MUL_MEAT_DW_4_wide_b_f0, \ | |
51ca9e29 | 418 | _FP_FRAC_WORD_8 (R, 7), _FP_FRAC_WORD_8 (R, 6)); \ |
1e145589 JM |
419 | } \ |
420 | while (0) | |
421 | ||
422 | #define _FP_MUL_MEAT_4_wide(wfracbits, R, X, Y, doit) \ | |
423 | do \ | |
424 | { \ | |
3a6e9887 | 425 | _FP_FRAC_DECL_8 (_FP_MUL_MEAT_4_wide_z); \ |
1e145589 | 426 | \ |
5c0508a3 | 427 | _FP_MUL_MEAT_DW_4_wide ((wfracbits), _FP_MUL_MEAT_4_wide_z, \ |
3a6e9887 | 428 | X, Y, doit); \ |
1e145589 JM |
429 | \ |
430 | /* Normalize since we know where the msb of the multiplicands \ | |
431 | were (bit B), we know that the msb of the of the product is \ | |
432 | at either 2B or 2B-1. */ \ | |
5c0508a3 JM |
433 | _FP_FRAC_SRS_8 (_FP_MUL_MEAT_4_wide_z, (wfracbits)-1, \ |
434 | 2*(wfracbits)); \ | |
3a6e9887 JM |
435 | __FP_FRAC_SET_4 (R, _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_wide_z, 3), \ |
436 | _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_wide_z, 2), \ | |
437 | _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_wide_z, 1), \ | |
438 | _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_wide_z, 0)); \ | |
1e145589 JM |
439 | } \ |
440 | while (0) | |
441 | ||
442 | #define _FP_MUL_MEAT_DW_4_gmp(wfracbits, R, X, Y) \ | |
443 | do \ | |
444 | { \ | |
51ca9e29 | 445 | mpn_mul_n (R##_f, _x_f, _y_f, 4); \ |
1e145589 JM |
446 | } \ |
447 | while (0) | |
448 | ||
449 | #define _FP_MUL_MEAT_4_gmp(wfracbits, R, X, Y) \ | |
450 | do \ | |
451 | { \ | |
3a6e9887 | 452 | _FP_FRAC_DECL_8 (_FP_MUL_MEAT_4_gmp_z); \ |
1e145589 | 453 | \ |
5c0508a3 | 454 | _FP_MUL_MEAT_DW_4_gmp ((wfracbits), _FP_MUL_MEAT_4_gmp_z, X, Y); \ |
1e145589 JM |
455 | \ |
456 | /* Normalize since we know where the msb of the multiplicands \ | |
457 | were (bit B), we know that the msb of the of the product is \ | |
458 | at either 2B or 2B-1. */ \ | |
5c0508a3 JM |
459 | _FP_FRAC_SRS_8 (_FP_MUL_MEAT_4_gmp_z, (wfracbits)-1, \ |
460 | 2*(wfracbits)); \ | |
3a6e9887 JM |
461 | __FP_FRAC_SET_4 (R, _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_gmp_z, 3), \ |
462 | _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_gmp_z, 2), \ | |
463 | _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_gmp_z, 1), \ | |
464 | _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_gmp_z, 0)); \ | |
1e145589 JM |
465 | } \ |
466 | while (0) | |
d876f532 | 467 | |
c4fe3ea7 JM |
468 | /* Helper utility for _FP_DIV_MEAT_4_udiv: |
469 | * pppp = m * nnn. */ | |
51ca9e29 JM |
470 | #define umul_ppppmnnn(p3, p2, p1, p0, m, n2, n1, n0) \ |
471 | do \ | |
472 | { \ | |
3a6e9887 | 473 | UWtype umul_ppppmnnn_t; \ |
51ca9e29 | 474 | umul_ppmm (p1, p0, m, n0); \ |
3a6e9887 JM |
475 | umul_ppmm (p2, umul_ppppmnnn_t, m, n1); \ |
476 | __FP_FRAC_ADDI_2 (p2, p1, umul_ppppmnnn_t); \ | |
477 | umul_ppmm (p3, umul_ppppmnnn_t, m, n2); \ | |
478 | __FP_FRAC_ADDI_2 (p3, p2, umul_ppppmnnn_t); \ | |
51ca9e29 | 479 | } \ |
1e145589 | 480 | while (0) |
d876f532 | 481 | |
c4fe3ea7 | 482 | /* Division algorithms: */ |
d876f532 | 483 | |
1e145589 JM |
484 | #define _FP_DIV_MEAT_4_udiv(fs, R, X, Y) \ |
485 | do \ | |
486 | { \ | |
3a6e9887 JM |
487 | int _FP_DIV_MEAT_4_udiv_i; \ |
488 | _FP_FRAC_DECL_4 (_FP_DIV_MEAT_4_udiv_n); \ | |
489 | _FP_FRAC_DECL_4 (_FP_DIV_MEAT_4_udiv_m); \ | |
490 | _FP_FRAC_SET_4 (_FP_DIV_MEAT_4_udiv_n, _FP_ZEROFRAC_4); \ | |
51ca9e29 | 491 | if (_FP_FRAC_GE_4 (X, Y)) \ |
1e145589 | 492 | { \ |
3a6e9887 JM |
493 | _FP_DIV_MEAT_4_udiv_n_f[3] \ |
494 | = X##_f[0] << (_FP_W_TYPE_SIZE - 1); \ | |
51ca9e29 | 495 | _FP_FRAC_SRL_4 (X, 1); \ |
1e145589 JM |
496 | } \ |
497 | else \ | |
498 | R##_e--; \ | |
499 | \ | |
500 | /* Normalize, i.e. make the most significant bit of the \ | |
c4fe3ea7 | 501 | denominator set. */ \ |
51ca9e29 | 502 | _FP_FRAC_SLL_4 (Y, _FP_WFRACXBITS_##fs); \ |
1e145589 | 503 | \ |
3a6e9887 | 504 | for (_FP_DIV_MEAT_4_udiv_i = 3; ; _FP_DIV_MEAT_4_udiv_i--) \ |
1e145589 JM |
505 | { \ |
506 | if (X##_f[3] == Y##_f[3]) \ | |
507 | { \ | |
508 | /* This is a special case, not an optimization \ | |
509 | (X##_f[3]/Y##_f[3] would not fit into UWtype). \ | |
3a6e9887 JM |
510 | As X## is guaranteed to be < Y, \ |
511 | R##_f[_FP_DIV_MEAT_4_udiv_i] can be either \ | |
1e145589 | 512 | (UWtype)-1 or (UWtype)-2. */ \ |
3a6e9887 JM |
513 | R##_f[_FP_DIV_MEAT_4_udiv_i] = -1; \ |
514 | if (!_FP_DIV_MEAT_4_udiv_i) \ | |
1e145589 | 515 | break; \ |
51ca9e29 JM |
516 | __FP_FRAC_SUB_4 (X##_f[3], X##_f[2], X##_f[1], X##_f[0], \ |
517 | Y##_f[2], Y##_f[1], Y##_f[0], 0, \ | |
3a6e9887 JM |
518 | X##_f[2], X##_f[1], X##_f[0], \ |
519 | _FP_DIV_MEAT_4_udiv_n_f[_FP_DIV_MEAT_4_udiv_i]); \ | |
51ca9e29 | 520 | _FP_FRAC_SUB_4 (X, Y, X); \ |
1e145589 JM |
521 | if (X##_f[3] > Y##_f[3]) \ |
522 | { \ | |
3a6e9887 | 523 | R##_f[_FP_DIV_MEAT_4_udiv_i] = -2; \ |
51ca9e29 | 524 | _FP_FRAC_ADD_4 (X, Y, X); \ |
1e145589 JM |
525 | } \ |
526 | } \ | |
527 | else \ | |
528 | { \ | |
3a6e9887 JM |
529 | udiv_qrnnd (R##_f[_FP_DIV_MEAT_4_udiv_i], \ |
530 | X##_f[3], X##_f[3], X##_f[2], Y##_f[3]); \ | |
531 | umul_ppppmnnn (_FP_DIV_MEAT_4_udiv_m_f[3], \ | |
532 | _FP_DIV_MEAT_4_udiv_m_f[2], \ | |
533 | _FP_DIV_MEAT_4_udiv_m_f[1], \ | |
534 | _FP_DIV_MEAT_4_udiv_m_f[0], \ | |
535 | R##_f[_FP_DIV_MEAT_4_udiv_i], \ | |
536 | Y##_f[2], Y##_f[1], Y##_f[0]); \ | |
1e145589 JM |
537 | X##_f[2] = X##_f[1]; \ |
538 | X##_f[1] = X##_f[0]; \ | |
3a6e9887 JM |
539 | X##_f[0] \ |
540 | = _FP_DIV_MEAT_4_udiv_n_f[_FP_DIV_MEAT_4_udiv_i]; \ | |
541 | if (_FP_FRAC_GT_4 (_FP_DIV_MEAT_4_udiv_m, X)) \ | |
1e145589 | 542 | { \ |
3a6e9887 | 543 | R##_f[_FP_DIV_MEAT_4_udiv_i]--; \ |
51ca9e29 | 544 | _FP_FRAC_ADD_4 (X, Y, X); \ |
3a6e9887 JM |
545 | if (_FP_FRAC_GE_4 (X, Y) \ |
546 | && _FP_FRAC_GT_4 (_FP_DIV_MEAT_4_udiv_m, X)) \ | |
1e145589 | 547 | { \ |
3a6e9887 | 548 | R##_f[_FP_DIV_MEAT_4_udiv_i]--; \ |
51ca9e29 | 549 | _FP_FRAC_ADD_4 (X, Y, X); \ |
1e145589 JM |
550 | } \ |
551 | } \ | |
3a6e9887 JM |
552 | _FP_FRAC_DEC_4 (X, _FP_DIV_MEAT_4_udiv_m); \ |
553 | if (!_FP_DIV_MEAT_4_udiv_i) \ | |
1e145589 | 554 | { \ |
3a6e9887 | 555 | if (!_FP_FRAC_EQ_4 (X, _FP_DIV_MEAT_4_udiv_m)) \ |
1e145589 JM |
556 | R##_f[0] |= _FP_WORK_STICKY; \ |
557 | break; \ | |
558 | } \ | |
559 | } \ | |
560 | } \ | |
561 | } \ | |
562 | while (0) | |
d876f532 UD |
563 | |
564 | ||
c4fe3ea7 JM |
565 | /* Square root algorithms: |
566 | We have just one right now, maybe Newton approximation | |
567 | should be added for those machines where division is fast. */ | |
9c84384c | 568 | |
1e145589 JM |
569 | #define _FP_SQRT_MEAT_4(R, S, T, X, q) \ |
570 | do \ | |
571 | { \ | |
572 | while (q) \ | |
573 | { \ | |
5c0508a3 | 574 | T##_f[3] = S##_f[3] + (q); \ |
1e145589 JM |
575 | if (T##_f[3] <= X##_f[3]) \ |
576 | { \ | |
5c0508a3 | 577 | S##_f[3] = T##_f[3] + (q); \ |
1e145589 | 578 | X##_f[3] -= T##_f[3]; \ |
5c0508a3 | 579 | R##_f[3] += (q); \ |
1e145589 | 580 | } \ |
51ca9e29 | 581 | _FP_FRAC_SLL_4 (X, 1); \ |
5c0508a3 | 582 | (q) >>= 1; \ |
1e145589 | 583 | } \ |
5c0508a3 | 584 | (q) = (_FP_W_TYPE) 1 << (_FP_W_TYPE_SIZE - 1); \ |
1e145589 JM |
585 | while (q) \ |
586 | { \ | |
5c0508a3 | 587 | T##_f[2] = S##_f[2] + (q); \ |
1e145589 JM |
588 | T##_f[3] = S##_f[3]; \ |
589 | if (T##_f[3] < X##_f[3] \ | |
590 | || (T##_f[3] == X##_f[3] && T##_f[2] <= X##_f[2])) \ | |
591 | { \ | |
5c0508a3 | 592 | S##_f[2] = T##_f[2] + (q); \ |
1e145589 | 593 | S##_f[3] += (T##_f[2] > S##_f[2]); \ |
51ca9e29 JM |
594 | __FP_FRAC_DEC_2 (X##_f[3], X##_f[2], \ |
595 | T##_f[3], T##_f[2]); \ | |
5c0508a3 | 596 | R##_f[2] += (q); \ |
1e145589 | 597 | } \ |
51ca9e29 | 598 | _FP_FRAC_SLL_4 (X, 1); \ |
5c0508a3 | 599 | (q) >>= 1; \ |
1e145589 | 600 | } \ |
5c0508a3 | 601 | (q) = (_FP_W_TYPE) 1 << (_FP_W_TYPE_SIZE - 1); \ |
1e145589 JM |
602 | while (q) \ |
603 | { \ | |
5c0508a3 | 604 | T##_f[1] = S##_f[1] + (q); \ |
1e145589 JM |
605 | T##_f[2] = S##_f[2]; \ |
606 | T##_f[3] = S##_f[3]; \ | |
607 | if (T##_f[3] < X##_f[3] \ | |
608 | || (T##_f[3] == X##_f[3] \ | |
609 | && (T##_f[2] < X##_f[2] \ | |
610 | || (T##_f[2] == X##_f[2] \ | |
611 | && T##_f[1] <= X##_f[1])))) \ | |
612 | { \ | |
5c0508a3 | 613 | S##_f[1] = T##_f[1] + (q); \ |
1e145589 JM |
614 | S##_f[2] += (T##_f[1] > S##_f[1]); \ |
615 | S##_f[3] += (T##_f[2] > S##_f[2]); \ | |
51ca9e29 JM |
616 | __FP_FRAC_DEC_3 (X##_f[3], X##_f[2], X##_f[1], \ |
617 | T##_f[3], T##_f[2], T##_f[1]); \ | |
5c0508a3 | 618 | R##_f[1] += (q); \ |
1e145589 | 619 | } \ |
51ca9e29 | 620 | _FP_FRAC_SLL_4 (X, 1); \ |
5c0508a3 | 621 | (q) >>= 1; \ |
1e145589 | 622 | } \ |
5c0508a3 JM |
623 | (q) = (_FP_W_TYPE) 1 << (_FP_W_TYPE_SIZE - 1); \ |
624 | while ((q) != _FP_WORK_ROUND) \ | |
1e145589 | 625 | { \ |
5c0508a3 | 626 | T##_f[0] = S##_f[0] + (q); \ |
1e145589 JM |
627 | T##_f[1] = S##_f[1]; \ |
628 | T##_f[2] = S##_f[2]; \ | |
629 | T##_f[3] = S##_f[3]; \ | |
51ca9e29 | 630 | if (_FP_FRAC_GE_4 (X, T)) \ |
1e145589 | 631 | { \ |
5c0508a3 | 632 | S##_f[0] = T##_f[0] + (q); \ |
1e145589 JM |
633 | S##_f[1] += (T##_f[0] > S##_f[0]); \ |
634 | S##_f[2] += (T##_f[1] > S##_f[1]); \ | |
635 | S##_f[3] += (T##_f[2] > S##_f[2]); \ | |
51ca9e29 | 636 | _FP_FRAC_DEC_4 (X, T); \ |
5c0508a3 | 637 | R##_f[0] += (q); \ |
1e145589 | 638 | } \ |
51ca9e29 | 639 | _FP_FRAC_SLL_4 (X, 1); \ |
5c0508a3 | 640 | (q) >>= 1; \ |
1e145589 | 641 | } \ |
51ca9e29 | 642 | if (!_FP_FRAC_ZEROP_4 (X)) \ |
1e145589 | 643 | { \ |
51ca9e29 | 644 | if (_FP_FRAC_GT_4 (X, S)) \ |
1e145589 JM |
645 | R##_f[0] |= _FP_WORK_ROUND; \ |
646 | R##_f[0] |= _FP_WORK_STICKY; \ | |
647 | } \ | |
648 | } \ | |
649 | while (0) | |
d876f532 UD |
650 | |
651 | ||
c4fe3ea7 | 652 | /* Internals. */ |
d876f532 | 653 | |
51ca9e29 | 654 | #define __FP_FRAC_SET_4(X, I3, I2, I1, I0) \ |
d876f532 UD |
655 | (X##_f[3] = I3, X##_f[2] = I2, X##_f[1] = I1, X##_f[0] = I0) |
656 | ||
657 | #ifndef __FP_FRAC_ADD_3 | |
51ca9e29 | 658 | # define __FP_FRAC_ADD_3(r2, r1, r0, x2, x1, x0, y2, y1, y0) \ |
1e145589 JM |
659 | do \ |
660 | { \ | |
661 | _FP_W_TYPE __FP_FRAC_ADD_3_c1, __FP_FRAC_ADD_3_c2; \ | |
662 | r0 = x0 + y0; \ | |
663 | __FP_FRAC_ADD_3_c1 = r0 < x0; \ | |
664 | r1 = x1 + y1; \ | |
665 | __FP_FRAC_ADD_3_c2 = r1 < x1; \ | |
666 | r1 += __FP_FRAC_ADD_3_c1; \ | |
667 | __FP_FRAC_ADD_3_c2 |= r1 < __FP_FRAC_ADD_3_c1; \ | |
668 | r2 = x2 + y2 + __FP_FRAC_ADD_3_c2; \ | |
669 | } \ | |
670 | while (0) | |
d876f532 UD |
671 | #endif |
672 | ||
673 | #ifndef __FP_FRAC_ADD_4 | |
51ca9e29 JM |
674 | # define __FP_FRAC_ADD_4(r3, r2, r1, r0, x3, x2, x1, x0, y3, y2, y1, y0) \ |
675 | do \ | |
676 | { \ | |
3a6e9887 JM |
677 | _FP_W_TYPE __FP_FRAC_ADD_4_c1, __FP_FRAC_ADD_4_c2; \ |
678 | _FP_W_TYPE __FP_FRAC_ADD_4_c3; \ | |
51ca9e29 | 679 | r0 = x0 + y0; \ |
3a6e9887 | 680 | __FP_FRAC_ADD_4_c1 = r0 < x0; \ |
51ca9e29 | 681 | r1 = x1 + y1; \ |
3a6e9887 JM |
682 | __FP_FRAC_ADD_4_c2 = r1 < x1; \ |
683 | r1 += __FP_FRAC_ADD_4_c1; \ | |
684 | __FP_FRAC_ADD_4_c2 |= r1 < __FP_FRAC_ADD_4_c1; \ | |
51ca9e29 | 685 | r2 = x2 + y2; \ |
3a6e9887 JM |
686 | __FP_FRAC_ADD_4_c3 = r2 < x2; \ |
687 | r2 += __FP_FRAC_ADD_4_c2; \ | |
688 | __FP_FRAC_ADD_4_c3 |= r2 < __FP_FRAC_ADD_4_c2; \ | |
689 | r3 = x3 + y3 + __FP_FRAC_ADD_4_c3; \ | |
51ca9e29 | 690 | } \ |
1e145589 | 691 | while (0) |
d876f532 UD |
692 | #endif |
693 | ||
694 | #ifndef __FP_FRAC_SUB_3 | |
ff48ea67 ZL |
695 | # define __FP_FRAC_SUB_3(r2, r1, r0, x2, x1, x0, y2, y1, y0) \ |
696 | do \ | |
697 | { \ | |
698 | _FP_W_TYPE __FP_FRAC_SUB_3_tmp[2]; \ | |
699 | _FP_W_TYPE __FP_FRAC_SUB_3_c1, __FP_FRAC_SUB_3_c2; \ | |
700 | __FP_FRAC_SUB_3_tmp[0] = x0 - y0; \ | |
701 | __FP_FRAC_SUB_3_c1 = __FP_FRAC_SUB_3_tmp[0] > x0; \ | |
702 | __FP_FRAC_SUB_3_tmp[1] = x1 - y1; \ | |
703 | __FP_FRAC_SUB_3_c2 = __FP_FRAC_SUB_3_tmp[1] > x1; \ | |
704 | __FP_FRAC_SUB_3_tmp[1] -= __FP_FRAC_SUB_3_c1; \ | |
705 | __FP_FRAC_SUB_3_c2 |= __FP_FRAC_SUB_3_c1 && (y1 == x1); \ | |
706 | r2 = x2 - y2 - __FP_FRAC_SUB_3_c2; \ | |
707 | r1 = __FP_FRAC_SUB_3_tmp[1]; \ | |
708 | r0 = __FP_FRAC_SUB_3_tmp[0]; \ | |
709 | } \ | |
1e145589 | 710 | while (0) |
d876f532 UD |
711 | #endif |
712 | ||
51ca9e29 JM |
713 | #ifndef __FP_FRAC_SUB_4 |
714 | # define __FP_FRAC_SUB_4(r3, r2, r1, r0, x3, x2, x1, x0, y3, y2, y1, y0) \ | |
ff48ea67 ZL |
715 | do \ |
716 | { \ | |
717 | _FP_W_TYPE __FP_FRAC_SUB_4_tmp[3]; \ | |
718 | _FP_W_TYPE __FP_FRAC_SUB_4_c1, __FP_FRAC_SUB_4_c2; \ | |
719 | _FP_W_TYPE __FP_FRAC_SUB_4_c3; \ | |
720 | __FP_FRAC_SUB_4_tmp[0] = x0 - y0; \ | |
721 | __FP_FRAC_SUB_4_c1 = __FP_FRAC_SUB_4_tmp[0] > x0; \ | |
722 | __FP_FRAC_SUB_4_tmp[1] = x1 - y1; \ | |
723 | __FP_FRAC_SUB_4_c2 = __FP_FRAC_SUB_4_tmp[1] > x1; \ | |
724 | __FP_FRAC_SUB_4_tmp[1] -= __FP_FRAC_SUB_4_c1; \ | |
725 | __FP_FRAC_SUB_4_c2 |= __FP_FRAC_SUB_4_c1 && (y1 == x1); \ | |
726 | __FP_FRAC_SUB_4_tmp[2] = x2 - y2; \ | |
727 | __FP_FRAC_SUB_4_c3 = __FP_FRAC_SUB_4_tmp[2] > x2; \ | |
728 | __FP_FRAC_SUB_4_tmp[2] -= __FP_FRAC_SUB_4_c2; \ | |
729 | __FP_FRAC_SUB_4_c3 |= __FP_FRAC_SUB_4_c2 && (y2 == x2); \ | |
730 | r3 = x3 - y3 - __FP_FRAC_SUB_4_c3; \ | |
731 | r2 = __FP_FRAC_SUB_4_tmp[2]; \ | |
732 | r1 = __FP_FRAC_SUB_4_tmp[1]; \ | |
733 | r0 = __FP_FRAC_SUB_4_tmp[0]; \ | |
734 | } \ | |
51ca9e29 JM |
735 | while (0) |
736 | #endif | |
737 | ||
d876f532 | 738 | #ifndef __FP_FRAC_DEC_3 |
51ca9e29 | 739 | # define __FP_FRAC_DEC_3(x2, x1, x0, y2, y1, y0) \ |
1e145589 JM |
740 | do \ |
741 | { \ | |
3a6e9887 JM |
742 | UWtype __FP_FRAC_DEC_3_t0, __FP_FRAC_DEC_3_t1; \ |
743 | UWtype __FP_FRAC_DEC_3_t2; \ | |
744 | __FP_FRAC_DEC_3_t0 = x0; \ | |
745 | __FP_FRAC_DEC_3_t1 = x1; \ | |
746 | __FP_FRAC_DEC_3_t2 = x2; \ | |
747 | __FP_FRAC_SUB_3 (x2, x1, x0, __FP_FRAC_DEC_3_t2, \ | |
748 | __FP_FRAC_DEC_3_t1, __FP_FRAC_DEC_3_t0, \ | |
749 | y2, y1, y0); \ | |
1e145589 JM |
750 | } \ |
751 | while (0) | |
d876f532 UD |
752 | #endif |
753 | ||
754 | #ifndef __FP_FRAC_DEC_4 | |
3a6e9887 JM |
755 | # define __FP_FRAC_DEC_4(x3, x2, x1, x0, y3, y2, y1, y0) \ |
756 | do \ | |
757 | { \ | |
758 | UWtype __FP_FRAC_DEC_4_t0, __FP_FRAC_DEC_4_t1; \ | |
759 | UWtype __FP_FRAC_DEC_4_t2, __FP_FRAC_DEC_4_t3; \ | |
760 | __FP_FRAC_DEC_4_t0 = x0; \ | |
761 | __FP_FRAC_DEC_4_t1 = x1; \ | |
762 | __FP_FRAC_DEC_4_t2 = x2; \ | |
763 | __FP_FRAC_DEC_4_t3 = x3; \ | |
764 | __FP_FRAC_SUB_4 (x3, x2, x1, x0, __FP_FRAC_DEC_4_t3, \ | |
765 | __FP_FRAC_DEC_4_t2, __FP_FRAC_DEC_4_t1, \ | |
766 | __FP_FRAC_DEC_4_t0, y3, y2, y1, y0); \ | |
767 | } \ | |
1e145589 | 768 | while (0) |
d876f532 UD |
769 | #endif |
770 | ||
771 | #ifndef __FP_FRAC_ADDI_4 | |
3a6e9887 JM |
772 | # define __FP_FRAC_ADDI_4(x3, x2, x1, x0, i) \ |
773 | do \ | |
774 | { \ | |
775 | UWtype __FP_FRAC_ADDI_4_t; \ | |
776 | __FP_FRAC_ADDI_4_t = ((x0 += i) < i); \ | |
777 | x1 += __FP_FRAC_ADDI_4_t; \ | |
778 | __FP_FRAC_ADDI_4_t = (x1 < __FP_FRAC_ADDI_4_t); \ | |
779 | x2 += __FP_FRAC_ADDI_4_t; \ | |
780 | __FP_FRAC_ADDI_4_t = (x2 < __FP_FRAC_ADDI_4_t); \ | |
781 | x3 += __FP_FRAC_ADDI_4_t; \ | |
782 | } \ | |
1e145589 | 783 | while (0) |
d876f532 UD |
784 | #endif |
785 | ||
786 | /* Convert FP values between word sizes. This appears to be more | |
c4fe3ea7 JM |
787 | complicated than I'd have expected it to be, so these might be |
788 | wrong... These macros are in any case somewhat bogus because they | |
789 | use information about what various FRAC_n variables look like | |
790 | internally [eg, that 2 word vars are X_f0 and x_f1]. But so do | |
791 | the ones in op-2.h and op-1.h. */ | |
fe0b1e85 | 792 | #define _FP_FRAC_COPY_1_4(D, S) (D##_f = S##_f[0]) |
d876f532 | 793 | |
fe0b1e85 | 794 | #define _FP_FRAC_COPY_2_4(D, S) \ |
1e145589 JM |
795 | do \ |
796 | { \ | |
797 | D##_f0 = S##_f[0]; \ | |
798 | D##_f1 = S##_f[1]; \ | |
799 | } \ | |
800 | while (0) | |
d876f532 | 801 | |
9c84384c | 802 | /* Assembly/disassembly for converting to/from integral types. |
c4fe3ea7 JM |
803 | No shifting or overflow handled here. */ |
804 | /* Put the FP value X into r, which is an integer of size rsize. */ | |
d876f532 | 805 | #define _FP_FRAC_ASSEMBLE_4(r, X, rsize) \ |
1e145589 | 806 | do \ |
d876f532 | 807 | { \ |
5c0508a3 JM |
808 | if ((rsize) <= _FP_W_TYPE_SIZE) \ |
809 | (r) = X##_f[0]; \ | |
810 | else if ((rsize) <= 2*_FP_W_TYPE_SIZE) \ | |
1e145589 | 811 | { \ |
5c0508a3 JM |
812 | (r) = X##_f[1]; \ |
813 | (r) = ((rsize) <= _FP_W_TYPE_SIZE \ | |
814 | ? 0 \ | |
815 | : (r) << _FP_W_TYPE_SIZE); \ | |
816 | (r) += X##_f[0]; \ | |
1e145589 JM |
817 | } \ |
818 | else \ | |
819 | { \ | |
c4fe3ea7 JM |
820 | /* I'm feeling lazy so we deal with int == 3words \ |
821 | (implausible) and int == 4words as a single case. */ \ | |
5c0508a3 JM |
822 | (r) = X##_f[3]; \ |
823 | (r) = ((rsize) <= _FP_W_TYPE_SIZE \ | |
824 | ? 0 \ | |
825 | : (r) << _FP_W_TYPE_SIZE); \ | |
826 | (r) += X##_f[2]; \ | |
827 | (r) = ((rsize) <= _FP_W_TYPE_SIZE \ | |
828 | ? 0 \ | |
829 | : (r) << _FP_W_TYPE_SIZE); \ | |
830 | (r) += X##_f[1]; \ | |
831 | (r) = ((rsize) <= _FP_W_TYPE_SIZE \ | |
832 | ? 0 \ | |
833 | : (r) << _FP_W_TYPE_SIZE); \ | |
834 | (r) += X##_f[0]; \ | |
1e145589 | 835 | } \ |
d876f532 | 836 | } \ |
1e145589 | 837 | while (0) |
d876f532 UD |
838 | |
839 | /* "No disassemble Number Five!" */ | |
c4fe3ea7 JM |
840 | /* Move an integer of size rsize into X's fractional part. We rely on |
841 | the _f[] array consisting of words of size _FP_W_TYPE_SIZE to avoid | |
842 | having to mask the values we store into it. */ | |
5c0508a3 JM |
843 | #define _FP_FRAC_DISASSEMBLE_4(X, r, rsize) \ |
844 | do \ | |
845 | { \ | |
846 | X##_f[0] = (r); \ | |
847 | X##_f[1] = ((rsize) <= _FP_W_TYPE_SIZE \ | |
848 | ? 0 \ | |
849 | : (r) >> _FP_W_TYPE_SIZE); \ | |
850 | X##_f[2] = ((rsize) <= 2*_FP_W_TYPE_SIZE \ | |
851 | ? 0 \ | |
852 | : (r) >> 2*_FP_W_TYPE_SIZE); \ | |
853 | X##_f[3] = ((rsize) <= 3*_FP_W_TYPE_SIZE \ | |
854 | ? 0 \ | |
855 | : (r) >> 3*_FP_W_TYPE_SIZE); \ | |
856 | } \ | |
1e145589 | 857 | while (0) |
d876f532 | 858 | |
fe0b1e85 | 859 | #define _FP_FRAC_COPY_4_1(D, S) \ |
1e145589 JM |
860 | do \ |
861 | { \ | |
862 | D##_f[0] = S##_f; \ | |
863 | D##_f[1] = D##_f[2] = D##_f[3] = 0; \ | |
864 | } \ | |
865 | while (0) | |
fe0b1e85 RM |
866 | |
867 | #define _FP_FRAC_COPY_4_2(D, S) \ | |
1e145589 JM |
868 | do \ |
869 | { \ | |
870 | D##_f[0] = S##_f0; \ | |
871 | D##_f[1] = S##_f1; \ | |
872 | D##_f[2] = D##_f[3] = 0; \ | |
873 | } \ | |
874 | while (0) | |
37002cbc | 875 | |
51ca9e29 | 876 | #define _FP_FRAC_COPY_4_4(D, S) _FP_FRAC_COPY_4 (D, S) |
a2f8be9c JM |
877 | |
878 | #endif /* !SOFT_FP_OP_4_H */ |