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d876f532 UD |
1 | /* Software floating-point emulation. |
2 | Basic four-word fraction declaration and manipulation. | |
b168057a | 3 | Copyright (C) 1997-2015 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 UD |
32 | |
33 | #define _FP_FRAC_DECL_4(X) _FP_W_TYPE X##_f[4] | |
51ca9e29 | 34 | #define _FP_FRAC_COPY_4(D, S) \ |
d876f532 UD |
35 | (D##_f[0] = S##_f[0], D##_f[1] = S##_f[1], \ |
36 | D##_f[2] = S##_f[2], D##_f[3] = S##_f[3]) | |
51ca9e29 | 37 | #define _FP_FRAC_SET_4(X, I) __FP_FRAC_SET_4 (X, I) |
d876f532 UD |
38 | #define _FP_FRAC_HIGH_4(X) (X##_f[3]) |
39 | #define _FP_FRAC_LOW_4(X) (X##_f[0]) | |
51ca9e29 | 40 | #define _FP_FRAC_WORD_4(X, w) (X##_f[w]) |
d876f532 | 41 | |
3a6e9887 JM |
42 | #define _FP_FRAC_SLL_4(X, N) \ |
43 | do \ | |
44 | { \ | |
45 | _FP_I_TYPE _FP_FRAC_SLL_4_up, _FP_FRAC_SLL_4_down; \ | |
46 | _FP_I_TYPE _FP_FRAC_SLL_4_skip, _FP_FRAC_SLL_4_i; \ | |
47 | _FP_FRAC_SLL_4_skip = (N) / _FP_W_TYPE_SIZE; \ | |
48 | _FP_FRAC_SLL_4_up = (N) % _FP_W_TYPE_SIZE; \ | |
49 | _FP_FRAC_SLL_4_down = _FP_W_TYPE_SIZE - _FP_FRAC_SLL_4_up; \ | |
50 | if (!_FP_FRAC_SLL_4_up) \ | |
51 | for (_FP_FRAC_SLL_4_i = 3; \ | |
52 | _FP_FRAC_SLL_4_i >= _FP_FRAC_SLL_4_skip; \ | |
53 | --_FP_FRAC_SLL_4_i) \ | |
54 | X##_f[_FP_FRAC_SLL_4_i] \ | |
55 | = X##_f[_FP_FRAC_SLL_4_i-_FP_FRAC_SLL_4_skip]; \ | |
56 | else \ | |
57 | { \ | |
58 | for (_FP_FRAC_SLL_4_i = 3; \ | |
59 | _FP_FRAC_SLL_4_i > _FP_FRAC_SLL_4_skip; \ | |
60 | --_FP_FRAC_SLL_4_i) \ | |
61 | X##_f[_FP_FRAC_SLL_4_i] \ | |
62 | = ((X##_f[_FP_FRAC_SLL_4_i-_FP_FRAC_SLL_4_skip] \ | |
63 | << _FP_FRAC_SLL_4_up) \ | |
64 | | (X##_f[_FP_FRAC_SLL_4_i-_FP_FRAC_SLL_4_skip-1] \ | |
65 | >> _FP_FRAC_SLL_4_down)); \ | |
66 | X##_f[_FP_FRAC_SLL_4_i--] = X##_f[0] << _FP_FRAC_SLL_4_up; \ | |
67 | } \ | |
68 | for (; _FP_FRAC_SLL_4_i >= 0; --_FP_FRAC_SLL_4_i) \ | |
69 | X##_f[_FP_FRAC_SLL_4_i] = 0; \ | |
70 | } \ | |
1e145589 | 71 | while (0) |
d876f532 | 72 | |
c4fe3ea7 | 73 | /* This one was broken too. */ |
3a6e9887 JM |
74 | #define _FP_FRAC_SRL_4(X, N) \ |
75 | do \ | |
76 | { \ | |
77 | _FP_I_TYPE _FP_FRAC_SRL_4_up, _FP_FRAC_SRL_4_down; \ | |
78 | _FP_I_TYPE _FP_FRAC_SRL_4_skip, _FP_FRAC_SRL_4_i; \ | |
79 | _FP_FRAC_SRL_4_skip = (N) / _FP_W_TYPE_SIZE; \ | |
80 | _FP_FRAC_SRL_4_down = (N) % _FP_W_TYPE_SIZE; \ | |
81 | _FP_FRAC_SRL_4_up = _FP_W_TYPE_SIZE - _FP_FRAC_SRL_4_down; \ | |
82 | if (!_FP_FRAC_SRL_4_down) \ | |
83 | for (_FP_FRAC_SRL_4_i = 0; \ | |
84 | _FP_FRAC_SRL_4_i <= 3-_FP_FRAC_SRL_4_skip; \ | |
85 | ++_FP_FRAC_SRL_4_i) \ | |
86 | X##_f[_FP_FRAC_SRL_4_i] \ | |
87 | = X##_f[_FP_FRAC_SRL_4_i+_FP_FRAC_SRL_4_skip]; \ | |
88 | else \ | |
89 | { \ | |
90 | for (_FP_FRAC_SRL_4_i = 0; \ | |
91 | _FP_FRAC_SRL_4_i < 3-_FP_FRAC_SRL_4_skip; \ | |
92 | ++_FP_FRAC_SRL_4_i) \ | |
93 | X##_f[_FP_FRAC_SRL_4_i] \ | |
94 | = ((X##_f[_FP_FRAC_SRL_4_i+_FP_FRAC_SRL_4_skip] \ | |
95 | >> _FP_FRAC_SRL_4_down) \ | |
96 | | (X##_f[_FP_FRAC_SRL_4_i+_FP_FRAC_SRL_4_skip+1] \ | |
97 | << _FP_FRAC_SRL_4_up)); \ | |
98 | X##_f[_FP_FRAC_SRL_4_i++] = X##_f[3] >> _FP_FRAC_SRL_4_down; \ | |
99 | } \ | |
100 | for (; _FP_FRAC_SRL_4_i < 4; ++_FP_FRAC_SRL_4_i) \ | |
101 | X##_f[_FP_FRAC_SRL_4_i] = 0; \ | |
102 | } \ | |
1e145589 | 103 | while (0) |
d876f532 UD |
104 | |
105 | ||
9c84384c | 106 | /* Right shift with sticky-lsb. |
c4fe3ea7 JM |
107 | What this actually means is that we do a standard right-shift, |
108 | but that if any of the bits that fall off the right hand side | |
109 | were one then we always set the LSbit. */ | |
3a6e9887 JM |
110 | #define _FP_FRAC_SRST_4(X, S, N, size) \ |
111 | do \ | |
112 | { \ | |
113 | _FP_I_TYPE _FP_FRAC_SRST_4_up, _FP_FRAC_SRST_4_down; \ | |
114 | _FP_I_TYPE _FP_FRAC_SRST_4_skip, _FP_FRAC_SRST_4_i; \ | |
115 | _FP_W_TYPE _FP_FRAC_SRST_4_s; \ | |
116 | _FP_FRAC_SRST_4_skip = (N) / _FP_W_TYPE_SIZE; \ | |
117 | _FP_FRAC_SRST_4_down = (N) % _FP_W_TYPE_SIZE; \ | |
118 | _FP_FRAC_SRST_4_up = _FP_W_TYPE_SIZE - _FP_FRAC_SRST_4_down; \ | |
119 | for (_FP_FRAC_SRST_4_s = _FP_FRAC_SRST_4_i = 0; \ | |
120 | _FP_FRAC_SRST_4_i < _FP_FRAC_SRST_4_skip; \ | |
121 | ++_FP_FRAC_SRST_4_i) \ | |
122 | _FP_FRAC_SRST_4_s |= X##_f[_FP_FRAC_SRST_4_i]; \ | |
123 | if (!_FP_FRAC_SRST_4_down) \ | |
124 | for (_FP_FRAC_SRST_4_i = 0; \ | |
125 | _FP_FRAC_SRST_4_i <= 3-_FP_FRAC_SRST_4_skip; \ | |
126 | ++_FP_FRAC_SRST_4_i) \ | |
127 | X##_f[_FP_FRAC_SRST_4_i] \ | |
128 | = X##_f[_FP_FRAC_SRST_4_i+_FP_FRAC_SRST_4_skip]; \ | |
129 | else \ | |
130 | { \ | |
131 | _FP_FRAC_SRST_4_s \ | |
132 | |= X##_f[_FP_FRAC_SRST_4_i] << _FP_FRAC_SRST_4_up; \ | |
133 | for (_FP_FRAC_SRST_4_i = 0; \ | |
134 | _FP_FRAC_SRST_4_i < 3-_FP_FRAC_SRST_4_skip; \ | |
135 | ++_FP_FRAC_SRST_4_i) \ | |
136 | X##_f[_FP_FRAC_SRST_4_i] \ | |
137 | = ((X##_f[_FP_FRAC_SRST_4_i+_FP_FRAC_SRST_4_skip] \ | |
138 | >> _FP_FRAC_SRST_4_down) \ | |
139 | | (X##_f[_FP_FRAC_SRST_4_i+_FP_FRAC_SRST_4_skip+1] \ | |
140 | << _FP_FRAC_SRST_4_up)); \ | |
141 | X##_f[_FP_FRAC_SRST_4_i++] \ | |
142 | = X##_f[3] >> _FP_FRAC_SRST_4_down; \ | |
143 | } \ | |
144 | for (; _FP_FRAC_SRST_4_i < 4; ++_FP_FRAC_SRST_4_i) \ | |
145 | X##_f[_FP_FRAC_SRST_4_i] = 0; \ | |
146 | S = (_FP_FRAC_SRST_4_s != 0); \ | |
147 | } \ | |
1e145589 | 148 | while (0) |
fe0b1e85 | 149 | |
3a6e9887 JM |
150 | #define _FP_FRAC_SRS_4(X, N, size) \ |
151 | do \ | |
152 | { \ | |
153 | int _FP_FRAC_SRS_4_sticky; \ | |
5c0508a3 | 154 | _FP_FRAC_SRST_4 (X, _FP_FRAC_SRS_4_sticky, (N), (size)); \ |
3a6e9887 JM |
155 | X##_f[0] |= _FP_FRAC_SRS_4_sticky; \ |
156 | } \ | |
1e145589 | 157 | while (0) |
d876f532 | 158 | |
51ca9e29 JM |
159 | #define _FP_FRAC_ADD_4(R, X, Y) \ |
160 | __FP_FRAC_ADD_4 (R##_f[3], R##_f[2], R##_f[1], R##_f[0], \ | |
161 | X##_f[3], X##_f[2], X##_f[1], X##_f[0], \ | |
162 | Y##_f[3], Y##_f[2], Y##_f[1], Y##_f[0]) | |
d876f532 | 163 | |
51ca9e29 JM |
164 | #define _FP_FRAC_SUB_4(R, X, Y) \ |
165 | __FP_FRAC_SUB_4 (R##_f[3], R##_f[2], R##_f[1], R##_f[0], \ | |
166 | X##_f[3], X##_f[2], X##_f[1], X##_f[0], \ | |
167 | Y##_f[3], Y##_f[2], Y##_f[1], Y##_f[0]) | |
d876f532 | 168 | |
51ca9e29 JM |
169 | #define _FP_FRAC_DEC_4(X, Y) \ |
170 | __FP_FRAC_DEC_4 (X##_f[3], X##_f[2], X##_f[1], X##_f[0], \ | |
171 | Y##_f[3], Y##_f[2], Y##_f[1], Y##_f[0]) | |
d876f532 | 172 | |
51ca9e29 JM |
173 | #define _FP_FRAC_ADDI_4(X, I) \ |
174 | __FP_FRAC_ADDI_4 (X##_f[3], X##_f[2], X##_f[1], X##_f[0], I) | |
d876f532 | 175 | |
51ca9e29 JM |
176 | #define _FP_ZEROFRAC_4 0, 0, 0, 0 |
177 | #define _FP_MINFRAC_4 0, 0, 0, 1 | |
178 | #define _FP_MAXFRAC_4 (~(_FP_WS_TYPE) 0), (~(_FP_WS_TYPE) 0), (~(_FP_WS_TYPE) 0), (~(_FP_WS_TYPE) 0) | |
d876f532 UD |
179 | |
180 | #define _FP_FRAC_ZEROP_4(X) ((X##_f[0] | X##_f[1] | X##_f[2] | X##_f[3]) == 0) | |
51ca9e29 JM |
181 | #define _FP_FRAC_NEGP_4(X) ((_FP_WS_TYPE) X##_f[3] < 0) |
182 | #define _FP_FRAC_OVERP_4(fs, X) (_FP_FRAC_HIGH_##fs (X) & _FP_OVERFLOW_##fs) | |
183 | #define _FP_FRAC_HIGHBIT_DW_4(fs, X) \ | |
184 | (_FP_FRAC_HIGH_DW_##fs (X) & _FP_HIGHBIT_DW_##fs) | |
185 | #define _FP_FRAC_CLEAR_OVERP_4(fs, X) (_FP_FRAC_HIGH_##fs (X) &= ~_FP_OVERFLOW_##fs) | |
d876f532 | 186 | |
51ca9e29 | 187 | #define _FP_FRAC_EQ_4(X, Y) \ |
1e145589 JM |
188 | (X##_f[0] == Y##_f[0] && X##_f[1] == Y##_f[1] \ |
189 | && X##_f[2] == Y##_f[2] && X##_f[3] == Y##_f[3]) | |
d876f532 | 190 | |
51ca9e29 | 191 | #define _FP_FRAC_GT_4(X, Y) \ |
1e145589 JM |
192 | (X##_f[3] > Y##_f[3] \ |
193 | || (X##_f[3] == Y##_f[3] \ | |
194 | && (X##_f[2] > Y##_f[2] \ | |
195 | || (X##_f[2] == Y##_f[2] \ | |
196 | && (X##_f[1] > Y##_f[1] \ | |
197 | || (X##_f[1] == Y##_f[1] \ | |
198 | && X##_f[0] > Y##_f[0])))))) | |
d876f532 | 199 | |
51ca9e29 | 200 | #define _FP_FRAC_GE_4(X, Y) \ |
1e145589 JM |
201 | (X##_f[3] > Y##_f[3] \ |
202 | || (X##_f[3] == Y##_f[3] \ | |
203 | && (X##_f[2] > Y##_f[2] \ | |
204 | || (X##_f[2] == Y##_f[2] \ | |
205 | && (X##_f[1] > Y##_f[1] \ | |
206 | || (X##_f[1] == Y##_f[1] \ | |
207 | && X##_f[0] >= Y##_f[0])))))) | |
208 | ||
209 | ||
51ca9e29 | 210 | #define _FP_FRAC_CLZ_4(R, X) \ |
1e145589 JM |
211 | do \ |
212 | { \ | |
213 | if (X##_f[3]) \ | |
5c0508a3 | 214 | __FP_CLZ ((R), X##_f[3]); \ |
1e145589 JM |
215 | else if (X##_f[2]) \ |
216 | { \ | |
5c0508a3 JM |
217 | __FP_CLZ ((R), X##_f[2]); \ |
218 | (R) += _FP_W_TYPE_SIZE; \ | |
1e145589 JM |
219 | } \ |
220 | else if (X##_f[1]) \ | |
221 | { \ | |
5c0508a3 JM |
222 | __FP_CLZ ((R), X##_f[1]); \ |
223 | (R) += _FP_W_TYPE_SIZE*2; \ | |
1e145589 JM |
224 | } \ |
225 | else \ | |
226 | { \ | |
5c0508a3 JM |
227 | __FP_CLZ ((R), X##_f[0]); \ |
228 | (R) += _FP_W_TYPE_SIZE*3; \ | |
1e145589 JM |
229 | } \ |
230 | } \ | |
51ca9e29 | 231 | while (0) |
1e145589 JM |
232 | |
233 | ||
3a6e9887 JM |
234 | #define _FP_UNPACK_RAW_4(fs, X, val) \ |
235 | do \ | |
236 | { \ | |
237 | union _FP_UNION_##fs _FP_UNPACK_RAW_4_flo; \ | |
238 | _FP_UNPACK_RAW_4_flo.flt = (val); \ | |
239 | X##_f[0] = _FP_UNPACK_RAW_4_flo.bits.frac0; \ | |
240 | X##_f[1] = _FP_UNPACK_RAW_4_flo.bits.frac1; \ | |
241 | X##_f[2] = _FP_UNPACK_RAW_4_flo.bits.frac2; \ | |
242 | X##_f[3] = _FP_UNPACK_RAW_4_flo.bits.frac3; \ | |
243 | X##_e = _FP_UNPACK_RAW_4_flo.bits.exp; \ | |
244 | X##_s = _FP_UNPACK_RAW_4_flo.bits.sign; \ | |
245 | } \ | |
1e145589 JM |
246 | while (0) |
247 | ||
3a6e9887 JM |
248 | #define _FP_UNPACK_RAW_4_P(fs, X, val) \ |
249 | do \ | |
250 | { \ | |
251 | union _FP_UNION_##fs *_FP_UNPACK_RAW_4_P_flo \ | |
252 | = (union _FP_UNION_##fs *) (val); \ | |
253 | \ | |
254 | X##_f[0] = _FP_UNPACK_RAW_4_P_flo->bits.frac0; \ | |
255 | X##_f[1] = _FP_UNPACK_RAW_4_P_flo->bits.frac1; \ | |
256 | X##_f[2] = _FP_UNPACK_RAW_4_P_flo->bits.frac2; \ | |
257 | X##_f[3] = _FP_UNPACK_RAW_4_P_flo->bits.frac3; \ | |
258 | X##_e = _FP_UNPACK_RAW_4_P_flo->bits.exp; \ | |
259 | X##_s = _FP_UNPACK_RAW_4_P_flo->bits.sign; \ | |
260 | } \ | |
1e145589 JM |
261 | while (0) |
262 | ||
263 | #define _FP_PACK_RAW_4(fs, val, X) \ | |
264 | do \ | |
265 | { \ | |
3a6e9887 JM |
266 | union _FP_UNION_##fs _FP_PACK_RAW_4_flo; \ |
267 | _FP_PACK_RAW_4_flo.bits.frac0 = X##_f[0]; \ | |
268 | _FP_PACK_RAW_4_flo.bits.frac1 = X##_f[1]; \ | |
269 | _FP_PACK_RAW_4_flo.bits.frac2 = X##_f[2]; \ | |
270 | _FP_PACK_RAW_4_flo.bits.frac3 = X##_f[3]; \ | |
271 | _FP_PACK_RAW_4_flo.bits.exp = X##_e; \ | |
272 | _FP_PACK_RAW_4_flo.bits.sign = X##_s; \ | |
273 | (val) = _FP_PACK_RAW_4_flo.flt; \ | |
1e145589 JM |
274 | } \ |
275 | while (0) | |
276 | ||
3a6e9887 JM |
277 | #define _FP_PACK_RAW_4_P(fs, val, X) \ |
278 | do \ | |
279 | { \ | |
280 | union _FP_UNION_##fs *_FP_PACK_RAW_4_P_flo \ | |
281 | = (union _FP_UNION_##fs *) (val); \ | |
282 | \ | |
283 | _FP_PACK_RAW_4_P_flo->bits.frac0 = X##_f[0]; \ | |
284 | _FP_PACK_RAW_4_P_flo->bits.frac1 = X##_f[1]; \ | |
285 | _FP_PACK_RAW_4_P_flo->bits.frac2 = X##_f[2]; \ | |
286 | _FP_PACK_RAW_4_P_flo->bits.frac3 = X##_f[3]; \ | |
287 | _FP_PACK_RAW_4_P_flo->bits.exp = X##_e; \ | |
288 | _FP_PACK_RAW_4_P_flo->bits.sign = X##_s; \ | |
289 | } \ | |
1e145589 | 290 | while (0) |
d876f532 | 291 | |
c4fe3ea7 | 292 | /* Multiplication algorithms: */ |
d876f532 UD |
293 | |
294 | /* Given a 1W * 1W => 2W primitive, do the extended multiplication. */ | |
295 | ||
1e145589 JM |
296 | #define _FP_MUL_MEAT_DW_4_wide(wfracbits, R, X, Y, doit) \ |
297 | do \ | |
298 | { \ | |
3a6e9887 JM |
299 | _FP_FRAC_DECL_2 (_FP_MUL_MEAT_DW_4_wide_b); \ |
300 | _FP_FRAC_DECL_2 (_FP_MUL_MEAT_DW_4_wide_c); \ | |
301 | _FP_FRAC_DECL_2 (_FP_MUL_MEAT_DW_4_wide_d); \ | |
302 | _FP_FRAC_DECL_2 (_FP_MUL_MEAT_DW_4_wide_e); \ | |
303 | _FP_FRAC_DECL_2 (_FP_MUL_MEAT_DW_4_wide_f); \ | |
1e145589 | 304 | \ |
3a6e9887 JM |
305 | doit (_FP_FRAC_WORD_8 (R, 1), _FP_FRAC_WORD_8 (R, 0), \ |
306 | X##_f[0], Y##_f[0]); \ | |
307 | doit (_FP_MUL_MEAT_DW_4_wide_b_f1, _FP_MUL_MEAT_DW_4_wide_b_f0, \ | |
308 | X##_f[0], Y##_f[1]); \ | |
309 | doit (_FP_MUL_MEAT_DW_4_wide_c_f1, _FP_MUL_MEAT_DW_4_wide_c_f0, \ | |
310 | X##_f[1], Y##_f[0]); \ | |
311 | doit (_FP_MUL_MEAT_DW_4_wide_d_f1, _FP_MUL_MEAT_DW_4_wide_d_f0, \ | |
312 | X##_f[1], Y##_f[1]); \ | |
313 | doit (_FP_MUL_MEAT_DW_4_wide_e_f1, _FP_MUL_MEAT_DW_4_wide_e_f0, \ | |
314 | X##_f[0], Y##_f[2]); \ | |
315 | doit (_FP_MUL_MEAT_DW_4_wide_f_f1, _FP_MUL_MEAT_DW_4_wide_f_f0, \ | |
316 | X##_f[2], Y##_f[0]); \ | |
51ca9e29 | 317 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 3), _FP_FRAC_WORD_8 (R, 2), \ |
3a6e9887 JM |
318 | _FP_FRAC_WORD_8 (R, 1), 0, \ |
319 | _FP_MUL_MEAT_DW_4_wide_b_f1, \ | |
320 | _FP_MUL_MEAT_DW_4_wide_b_f0, \ | |
51ca9e29 JM |
321 | 0, 0, _FP_FRAC_WORD_8 (R, 1)); \ |
322 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 3), _FP_FRAC_WORD_8 (R, 2), \ | |
3a6e9887 JM |
323 | _FP_FRAC_WORD_8 (R, 1), 0, \ |
324 | _FP_MUL_MEAT_DW_4_wide_c_f1, \ | |
325 | _FP_MUL_MEAT_DW_4_wide_c_f0, \ | |
51ca9e29 JM |
326 | _FP_FRAC_WORD_8 (R, 3), _FP_FRAC_WORD_8 (R, 2), \ |
327 | _FP_FRAC_WORD_8 (R, 1)); \ | |
328 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3), \ | |
3a6e9887 JM |
329 | _FP_FRAC_WORD_8 (R, 2), 0, \ |
330 | _FP_MUL_MEAT_DW_4_wide_d_f1, \ | |
331 | _FP_MUL_MEAT_DW_4_wide_d_f0, \ | |
51ca9e29 JM |
332 | 0, _FP_FRAC_WORD_8 (R, 3), _FP_FRAC_WORD_8 (R, 2)); \ |
333 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3), \ | |
3a6e9887 JM |
334 | _FP_FRAC_WORD_8 (R, 2), 0, \ |
335 | _FP_MUL_MEAT_DW_4_wide_e_f1, \ | |
336 | _FP_MUL_MEAT_DW_4_wide_e_f0, \ | |
51ca9e29 JM |
337 | _FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3), \ |
338 | _FP_FRAC_WORD_8 (R, 2)); \ | |
339 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3), \ | |
3a6e9887 JM |
340 | _FP_FRAC_WORD_8 (R, 2), 0, \ |
341 | _FP_MUL_MEAT_DW_4_wide_f_f1, \ | |
342 | _FP_MUL_MEAT_DW_4_wide_f_f0, \ | |
51ca9e29 JM |
343 | _FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3), \ |
344 | _FP_FRAC_WORD_8 (R, 2)); \ | |
3a6e9887 JM |
345 | doit (_FP_MUL_MEAT_DW_4_wide_b_f1, \ |
346 | _FP_MUL_MEAT_DW_4_wide_b_f0, X##_f[0], Y##_f[3]); \ | |
347 | doit (_FP_MUL_MEAT_DW_4_wide_c_f1, \ | |
348 | _FP_MUL_MEAT_DW_4_wide_c_f0, X##_f[3], Y##_f[0]); \ | |
349 | doit (_FP_MUL_MEAT_DW_4_wide_d_f1, _FP_MUL_MEAT_DW_4_wide_d_f0, \ | |
350 | X##_f[1], Y##_f[2]); \ | |
351 | doit (_FP_MUL_MEAT_DW_4_wide_e_f1, _FP_MUL_MEAT_DW_4_wide_e_f0, \ | |
352 | X##_f[2], Y##_f[1]); \ | |
51ca9e29 | 353 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \ |
3a6e9887 JM |
354 | _FP_FRAC_WORD_8 (R, 3), 0, \ |
355 | _FP_MUL_MEAT_DW_4_wide_b_f1, \ | |
356 | _FP_MUL_MEAT_DW_4_wide_b_f0, \ | |
51ca9e29 JM |
357 | 0, _FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3)); \ |
358 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \ | |
3a6e9887 JM |
359 | _FP_FRAC_WORD_8 (R, 3), 0, \ |
360 | _FP_MUL_MEAT_DW_4_wide_c_f1, \ | |
361 | _FP_MUL_MEAT_DW_4_wide_c_f0, \ | |
51ca9e29 JM |
362 | _FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \ |
363 | _FP_FRAC_WORD_8 (R, 3)); \ | |
364 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \ | |
3a6e9887 JM |
365 | _FP_FRAC_WORD_8 (R, 3), 0, \ |
366 | _FP_MUL_MEAT_DW_4_wide_d_f1, \ | |
367 | _FP_MUL_MEAT_DW_4_wide_d_f0, \ | |
51ca9e29 JM |
368 | _FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \ |
369 | _FP_FRAC_WORD_8 (R, 3)); \ | |
370 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \ | |
3a6e9887 JM |
371 | _FP_FRAC_WORD_8 (R, 3), 0, \ |
372 | _FP_MUL_MEAT_DW_4_wide_e_f1, \ | |
373 | _FP_MUL_MEAT_DW_4_wide_e_f0, \ | |
51ca9e29 JM |
374 | _FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \ |
375 | _FP_FRAC_WORD_8 (R, 3)); \ | |
3a6e9887 JM |
376 | doit (_FP_MUL_MEAT_DW_4_wide_b_f1, _FP_MUL_MEAT_DW_4_wide_b_f0, \ |
377 | X##_f[2], Y##_f[2]); \ | |
378 | doit (_FP_MUL_MEAT_DW_4_wide_c_f1, _FP_MUL_MEAT_DW_4_wide_c_f0, \ | |
379 | X##_f[1], Y##_f[3]); \ | |
380 | doit (_FP_MUL_MEAT_DW_4_wide_d_f1, _FP_MUL_MEAT_DW_4_wide_d_f0, \ | |
381 | X##_f[3], Y##_f[1]); \ | |
382 | doit (_FP_MUL_MEAT_DW_4_wide_e_f1, _FP_MUL_MEAT_DW_4_wide_e_f0, \ | |
383 | X##_f[2], Y##_f[3]); \ | |
384 | doit (_FP_MUL_MEAT_DW_4_wide_f_f1, _FP_MUL_MEAT_DW_4_wide_f_f0, \ | |
385 | X##_f[3], Y##_f[2]); \ | |
51ca9e29 | 386 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5), \ |
3a6e9887 JM |
387 | _FP_FRAC_WORD_8 (R, 4), 0, \ |
388 | _FP_MUL_MEAT_DW_4_wide_b_f1, \ | |
389 | _FP_MUL_MEAT_DW_4_wide_b_f0, \ | |
51ca9e29 JM |
390 | 0, _FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4)); \ |
391 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5), \ | |
3a6e9887 JM |
392 | _FP_FRAC_WORD_8 (R, 4), 0, \ |
393 | _FP_MUL_MEAT_DW_4_wide_c_f1, \ | |
394 | _FP_MUL_MEAT_DW_4_wide_c_f0, \ | |
51ca9e29 JM |
395 | _FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5), \ |
396 | _FP_FRAC_WORD_8 (R, 4)); \ | |
397 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5), \ | |
3a6e9887 JM |
398 | _FP_FRAC_WORD_8 (R, 4), 0, \ |
399 | _FP_MUL_MEAT_DW_4_wide_d_f1, \ | |
400 | _FP_MUL_MEAT_DW_4_wide_d_f0, \ | |
51ca9e29 JM |
401 | _FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5), \ |
402 | _FP_FRAC_WORD_8 (R, 4)); \ | |
403 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 7), _FP_FRAC_WORD_8 (R, 6), \ | |
3a6e9887 JM |
404 | _FP_FRAC_WORD_8 (R, 5), 0, \ |
405 | _FP_MUL_MEAT_DW_4_wide_e_f1, \ | |
406 | _FP_MUL_MEAT_DW_4_wide_e_f0, \ | |
51ca9e29 JM |
407 | 0, _FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5)); \ |
408 | __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 7), _FP_FRAC_WORD_8 (R, 6), \ | |
3a6e9887 JM |
409 | _FP_FRAC_WORD_8 (R, 5), 0, \ |
410 | _FP_MUL_MEAT_DW_4_wide_f_f1, \ | |
411 | _FP_MUL_MEAT_DW_4_wide_f_f0, \ | |
51ca9e29 JM |
412 | _FP_FRAC_WORD_8 (R, 7), _FP_FRAC_WORD_8 (R, 6), \ |
413 | _FP_FRAC_WORD_8 (R, 5)); \ | |
3a6e9887 JM |
414 | doit (_FP_MUL_MEAT_DW_4_wide_b_f1, _FP_MUL_MEAT_DW_4_wide_b_f0, \ |
415 | X##_f[3], Y##_f[3]); \ | |
51ca9e29 | 416 | __FP_FRAC_ADD_2 (_FP_FRAC_WORD_8 (R, 7), _FP_FRAC_WORD_8 (R, 6), \ |
3a6e9887 JM |
417 | _FP_MUL_MEAT_DW_4_wide_b_f1, \ |
418 | _FP_MUL_MEAT_DW_4_wide_b_f0, \ | |
51ca9e29 | 419 | _FP_FRAC_WORD_8 (R, 7), _FP_FRAC_WORD_8 (R, 6)); \ |
1e145589 JM |
420 | } \ |
421 | while (0) | |
422 | ||
423 | #define _FP_MUL_MEAT_4_wide(wfracbits, R, X, Y, doit) \ | |
424 | do \ | |
425 | { \ | |
3a6e9887 | 426 | _FP_FRAC_DECL_8 (_FP_MUL_MEAT_4_wide_z); \ |
1e145589 | 427 | \ |
5c0508a3 | 428 | _FP_MUL_MEAT_DW_4_wide ((wfracbits), _FP_MUL_MEAT_4_wide_z, \ |
3a6e9887 | 429 | X, Y, doit); \ |
1e145589 JM |
430 | \ |
431 | /* Normalize since we know where the msb of the multiplicands \ | |
432 | were (bit B), we know that the msb of the of the product is \ | |
433 | at either 2B or 2B-1. */ \ | |
5c0508a3 JM |
434 | _FP_FRAC_SRS_8 (_FP_MUL_MEAT_4_wide_z, (wfracbits)-1, \ |
435 | 2*(wfracbits)); \ | |
3a6e9887 JM |
436 | __FP_FRAC_SET_4 (R, _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_wide_z, 3), \ |
437 | _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_wide_z, 2), \ | |
438 | _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_wide_z, 1), \ | |
439 | _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_wide_z, 0)); \ | |
1e145589 JM |
440 | } \ |
441 | while (0) | |
442 | ||
443 | #define _FP_MUL_MEAT_DW_4_gmp(wfracbits, R, X, Y) \ | |
444 | do \ | |
445 | { \ | |
51ca9e29 | 446 | mpn_mul_n (R##_f, _x_f, _y_f, 4); \ |
1e145589 JM |
447 | } \ |
448 | while (0) | |
449 | ||
450 | #define _FP_MUL_MEAT_4_gmp(wfracbits, R, X, Y) \ | |
451 | do \ | |
452 | { \ | |
3a6e9887 | 453 | _FP_FRAC_DECL_8 (_FP_MUL_MEAT_4_gmp_z); \ |
1e145589 | 454 | \ |
5c0508a3 | 455 | _FP_MUL_MEAT_DW_4_gmp ((wfracbits), _FP_MUL_MEAT_4_gmp_z, X, Y); \ |
1e145589 JM |
456 | \ |
457 | /* Normalize since we know where the msb of the multiplicands \ | |
458 | were (bit B), we know that the msb of the of the product is \ | |
459 | at either 2B or 2B-1. */ \ | |
5c0508a3 JM |
460 | _FP_FRAC_SRS_8 (_FP_MUL_MEAT_4_gmp_z, (wfracbits)-1, \ |
461 | 2*(wfracbits)); \ | |
3a6e9887 JM |
462 | __FP_FRAC_SET_4 (R, _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_gmp_z, 3), \ |
463 | _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_gmp_z, 2), \ | |
464 | _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_gmp_z, 1), \ | |
465 | _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_gmp_z, 0)); \ | |
1e145589 JM |
466 | } \ |
467 | while (0) | |
d876f532 | 468 | |
c4fe3ea7 JM |
469 | /* Helper utility for _FP_DIV_MEAT_4_udiv: |
470 | * pppp = m * nnn. */ | |
51ca9e29 JM |
471 | #define umul_ppppmnnn(p3, p2, p1, p0, m, n2, n1, n0) \ |
472 | do \ | |
473 | { \ | |
3a6e9887 | 474 | UWtype umul_ppppmnnn_t; \ |
51ca9e29 | 475 | umul_ppmm (p1, p0, m, n0); \ |
3a6e9887 JM |
476 | umul_ppmm (p2, umul_ppppmnnn_t, m, n1); \ |
477 | __FP_FRAC_ADDI_2 (p2, p1, umul_ppppmnnn_t); \ | |
478 | umul_ppmm (p3, umul_ppppmnnn_t, m, n2); \ | |
479 | __FP_FRAC_ADDI_2 (p3, p2, umul_ppppmnnn_t); \ | |
51ca9e29 | 480 | } \ |
1e145589 | 481 | while (0) |
d876f532 | 482 | |
c4fe3ea7 | 483 | /* Division algorithms: */ |
d876f532 | 484 | |
1e145589 JM |
485 | #define _FP_DIV_MEAT_4_udiv(fs, R, X, Y) \ |
486 | do \ | |
487 | { \ | |
3a6e9887 JM |
488 | int _FP_DIV_MEAT_4_udiv_i; \ |
489 | _FP_FRAC_DECL_4 (_FP_DIV_MEAT_4_udiv_n); \ | |
490 | _FP_FRAC_DECL_4 (_FP_DIV_MEAT_4_udiv_m); \ | |
491 | _FP_FRAC_SET_4 (_FP_DIV_MEAT_4_udiv_n, _FP_ZEROFRAC_4); \ | |
51ca9e29 | 492 | if (_FP_FRAC_GE_4 (X, Y)) \ |
1e145589 | 493 | { \ |
3a6e9887 JM |
494 | _FP_DIV_MEAT_4_udiv_n_f[3] \ |
495 | = X##_f[0] << (_FP_W_TYPE_SIZE - 1); \ | |
51ca9e29 | 496 | _FP_FRAC_SRL_4 (X, 1); \ |
1e145589 JM |
497 | } \ |
498 | else \ | |
499 | R##_e--; \ | |
500 | \ | |
501 | /* Normalize, i.e. make the most significant bit of the \ | |
c4fe3ea7 | 502 | denominator set. */ \ |
51ca9e29 | 503 | _FP_FRAC_SLL_4 (Y, _FP_WFRACXBITS_##fs); \ |
1e145589 | 504 | \ |
3a6e9887 | 505 | for (_FP_DIV_MEAT_4_udiv_i = 3; ; _FP_DIV_MEAT_4_udiv_i--) \ |
1e145589 JM |
506 | { \ |
507 | if (X##_f[3] == Y##_f[3]) \ | |
508 | { \ | |
509 | /* This is a special case, not an optimization \ | |
510 | (X##_f[3]/Y##_f[3] would not fit into UWtype). \ | |
3a6e9887 JM |
511 | As X## is guaranteed to be < Y, \ |
512 | R##_f[_FP_DIV_MEAT_4_udiv_i] can be either \ | |
1e145589 | 513 | (UWtype)-1 or (UWtype)-2. */ \ |
3a6e9887 JM |
514 | R##_f[_FP_DIV_MEAT_4_udiv_i] = -1; \ |
515 | if (!_FP_DIV_MEAT_4_udiv_i) \ | |
1e145589 | 516 | break; \ |
51ca9e29 JM |
517 | __FP_FRAC_SUB_4 (X##_f[3], X##_f[2], X##_f[1], X##_f[0], \ |
518 | Y##_f[2], Y##_f[1], Y##_f[0], 0, \ | |
3a6e9887 JM |
519 | X##_f[2], X##_f[1], X##_f[0], \ |
520 | _FP_DIV_MEAT_4_udiv_n_f[_FP_DIV_MEAT_4_udiv_i]); \ | |
51ca9e29 | 521 | _FP_FRAC_SUB_4 (X, Y, X); \ |
1e145589 JM |
522 | if (X##_f[3] > Y##_f[3]) \ |
523 | { \ | |
3a6e9887 | 524 | R##_f[_FP_DIV_MEAT_4_udiv_i] = -2; \ |
51ca9e29 | 525 | _FP_FRAC_ADD_4 (X, Y, X); \ |
1e145589 JM |
526 | } \ |
527 | } \ | |
528 | else \ | |
529 | { \ | |
3a6e9887 JM |
530 | udiv_qrnnd (R##_f[_FP_DIV_MEAT_4_udiv_i], \ |
531 | X##_f[3], X##_f[3], X##_f[2], Y##_f[3]); \ | |
532 | umul_ppppmnnn (_FP_DIV_MEAT_4_udiv_m_f[3], \ | |
533 | _FP_DIV_MEAT_4_udiv_m_f[2], \ | |
534 | _FP_DIV_MEAT_4_udiv_m_f[1], \ | |
535 | _FP_DIV_MEAT_4_udiv_m_f[0], \ | |
536 | R##_f[_FP_DIV_MEAT_4_udiv_i], \ | |
537 | Y##_f[2], Y##_f[1], Y##_f[0]); \ | |
1e145589 JM |
538 | X##_f[2] = X##_f[1]; \ |
539 | X##_f[1] = X##_f[0]; \ | |
3a6e9887 JM |
540 | X##_f[0] \ |
541 | = _FP_DIV_MEAT_4_udiv_n_f[_FP_DIV_MEAT_4_udiv_i]; \ | |
542 | if (_FP_FRAC_GT_4 (_FP_DIV_MEAT_4_udiv_m, X)) \ | |
1e145589 | 543 | { \ |
3a6e9887 | 544 | R##_f[_FP_DIV_MEAT_4_udiv_i]--; \ |
51ca9e29 | 545 | _FP_FRAC_ADD_4 (X, Y, X); \ |
3a6e9887 JM |
546 | if (_FP_FRAC_GE_4 (X, Y) \ |
547 | && _FP_FRAC_GT_4 (_FP_DIV_MEAT_4_udiv_m, X)) \ | |
1e145589 | 548 | { \ |
3a6e9887 | 549 | R##_f[_FP_DIV_MEAT_4_udiv_i]--; \ |
51ca9e29 | 550 | _FP_FRAC_ADD_4 (X, Y, X); \ |
1e145589 JM |
551 | } \ |
552 | } \ | |
3a6e9887 JM |
553 | _FP_FRAC_DEC_4 (X, _FP_DIV_MEAT_4_udiv_m); \ |
554 | if (!_FP_DIV_MEAT_4_udiv_i) \ | |
1e145589 | 555 | { \ |
3a6e9887 | 556 | if (!_FP_FRAC_EQ_4 (X, _FP_DIV_MEAT_4_udiv_m)) \ |
1e145589 JM |
557 | R##_f[0] |= _FP_WORK_STICKY; \ |
558 | break; \ | |
559 | } \ | |
560 | } \ | |
561 | } \ | |
562 | } \ | |
563 | while (0) | |
d876f532 UD |
564 | |
565 | ||
c4fe3ea7 JM |
566 | /* Square root algorithms: |
567 | We have just one right now, maybe Newton approximation | |
568 | should be added for those machines where division is fast. */ | |
9c84384c | 569 | |
1e145589 JM |
570 | #define _FP_SQRT_MEAT_4(R, S, T, X, q) \ |
571 | do \ | |
572 | { \ | |
573 | while (q) \ | |
574 | { \ | |
5c0508a3 | 575 | T##_f[3] = S##_f[3] + (q); \ |
1e145589 JM |
576 | if (T##_f[3] <= X##_f[3]) \ |
577 | { \ | |
5c0508a3 | 578 | S##_f[3] = T##_f[3] + (q); \ |
1e145589 | 579 | X##_f[3] -= T##_f[3]; \ |
5c0508a3 | 580 | R##_f[3] += (q); \ |
1e145589 | 581 | } \ |
51ca9e29 | 582 | _FP_FRAC_SLL_4 (X, 1); \ |
5c0508a3 | 583 | (q) >>= 1; \ |
1e145589 | 584 | } \ |
5c0508a3 | 585 | (q) = (_FP_W_TYPE) 1 << (_FP_W_TYPE_SIZE - 1); \ |
1e145589 JM |
586 | while (q) \ |
587 | { \ | |
5c0508a3 | 588 | T##_f[2] = S##_f[2] + (q); \ |
1e145589 JM |
589 | T##_f[3] = S##_f[3]; \ |
590 | if (T##_f[3] < X##_f[3] \ | |
591 | || (T##_f[3] == X##_f[3] && T##_f[2] <= X##_f[2])) \ | |
592 | { \ | |
5c0508a3 | 593 | S##_f[2] = T##_f[2] + (q); \ |
1e145589 | 594 | S##_f[3] += (T##_f[2] > S##_f[2]); \ |
51ca9e29 JM |
595 | __FP_FRAC_DEC_2 (X##_f[3], X##_f[2], \ |
596 | T##_f[3], T##_f[2]); \ | |
5c0508a3 | 597 | R##_f[2] += (q); \ |
1e145589 | 598 | } \ |
51ca9e29 | 599 | _FP_FRAC_SLL_4 (X, 1); \ |
5c0508a3 | 600 | (q) >>= 1; \ |
1e145589 | 601 | } \ |
5c0508a3 | 602 | (q) = (_FP_W_TYPE) 1 << (_FP_W_TYPE_SIZE - 1); \ |
1e145589 JM |
603 | while (q) \ |
604 | { \ | |
5c0508a3 | 605 | T##_f[1] = S##_f[1] + (q); \ |
1e145589 JM |
606 | T##_f[2] = S##_f[2]; \ |
607 | T##_f[3] = S##_f[3]; \ | |
608 | if (T##_f[3] < X##_f[3] \ | |
609 | || (T##_f[3] == X##_f[3] \ | |
610 | && (T##_f[2] < X##_f[2] \ | |
611 | || (T##_f[2] == X##_f[2] \ | |
612 | && T##_f[1] <= X##_f[1])))) \ | |
613 | { \ | |
5c0508a3 | 614 | S##_f[1] = T##_f[1] + (q); \ |
1e145589 JM |
615 | S##_f[2] += (T##_f[1] > S##_f[1]); \ |
616 | S##_f[3] += (T##_f[2] > S##_f[2]); \ | |
51ca9e29 JM |
617 | __FP_FRAC_DEC_3 (X##_f[3], X##_f[2], X##_f[1], \ |
618 | T##_f[3], T##_f[2], T##_f[1]); \ | |
5c0508a3 | 619 | R##_f[1] += (q); \ |
1e145589 | 620 | } \ |
51ca9e29 | 621 | _FP_FRAC_SLL_4 (X, 1); \ |
5c0508a3 | 622 | (q) >>= 1; \ |
1e145589 | 623 | } \ |
5c0508a3 JM |
624 | (q) = (_FP_W_TYPE) 1 << (_FP_W_TYPE_SIZE - 1); \ |
625 | while ((q) != _FP_WORK_ROUND) \ | |
1e145589 | 626 | { \ |
5c0508a3 | 627 | T##_f[0] = S##_f[0] + (q); \ |
1e145589 JM |
628 | T##_f[1] = S##_f[1]; \ |
629 | T##_f[2] = S##_f[2]; \ | |
630 | T##_f[3] = S##_f[3]; \ | |
51ca9e29 | 631 | if (_FP_FRAC_GE_4 (X, T)) \ |
1e145589 | 632 | { \ |
5c0508a3 | 633 | S##_f[0] = T##_f[0] + (q); \ |
1e145589 JM |
634 | S##_f[1] += (T##_f[0] > S##_f[0]); \ |
635 | S##_f[2] += (T##_f[1] > S##_f[1]); \ | |
636 | S##_f[3] += (T##_f[2] > S##_f[2]); \ | |
51ca9e29 | 637 | _FP_FRAC_DEC_4 (X, T); \ |
5c0508a3 | 638 | R##_f[0] += (q); \ |
1e145589 | 639 | } \ |
51ca9e29 | 640 | _FP_FRAC_SLL_4 (X, 1); \ |
5c0508a3 | 641 | (q) >>= 1; \ |
1e145589 | 642 | } \ |
51ca9e29 | 643 | if (!_FP_FRAC_ZEROP_4 (X)) \ |
1e145589 | 644 | { \ |
51ca9e29 | 645 | if (_FP_FRAC_GT_4 (X, S)) \ |
1e145589 JM |
646 | R##_f[0] |= _FP_WORK_ROUND; \ |
647 | R##_f[0] |= _FP_WORK_STICKY; \ | |
648 | } \ | |
649 | } \ | |
650 | while (0) | |
d876f532 UD |
651 | |
652 | ||
c4fe3ea7 | 653 | /* Internals. */ |
d876f532 | 654 | |
51ca9e29 | 655 | #define __FP_FRAC_SET_4(X, I3, I2, I1, I0) \ |
d876f532 UD |
656 | (X##_f[3] = I3, X##_f[2] = I2, X##_f[1] = I1, X##_f[0] = I0) |
657 | ||
658 | #ifndef __FP_FRAC_ADD_3 | |
51ca9e29 | 659 | # define __FP_FRAC_ADD_3(r2, r1, r0, x2, x1, x0, y2, y1, y0) \ |
1e145589 JM |
660 | do \ |
661 | { \ | |
662 | _FP_W_TYPE __FP_FRAC_ADD_3_c1, __FP_FRAC_ADD_3_c2; \ | |
663 | r0 = x0 + y0; \ | |
664 | __FP_FRAC_ADD_3_c1 = r0 < x0; \ | |
665 | r1 = x1 + y1; \ | |
666 | __FP_FRAC_ADD_3_c2 = r1 < x1; \ | |
667 | r1 += __FP_FRAC_ADD_3_c1; \ | |
668 | __FP_FRAC_ADD_3_c2 |= r1 < __FP_FRAC_ADD_3_c1; \ | |
669 | r2 = x2 + y2 + __FP_FRAC_ADD_3_c2; \ | |
670 | } \ | |
671 | while (0) | |
d876f532 UD |
672 | #endif |
673 | ||
674 | #ifndef __FP_FRAC_ADD_4 | |
51ca9e29 JM |
675 | # define __FP_FRAC_ADD_4(r3, r2, r1, r0, x3, x2, x1, x0, y3, y2, y1, y0) \ |
676 | do \ | |
677 | { \ | |
3a6e9887 JM |
678 | _FP_W_TYPE __FP_FRAC_ADD_4_c1, __FP_FRAC_ADD_4_c2; \ |
679 | _FP_W_TYPE __FP_FRAC_ADD_4_c3; \ | |
51ca9e29 | 680 | r0 = x0 + y0; \ |
3a6e9887 | 681 | __FP_FRAC_ADD_4_c1 = r0 < x0; \ |
51ca9e29 | 682 | r1 = x1 + y1; \ |
3a6e9887 JM |
683 | __FP_FRAC_ADD_4_c2 = r1 < x1; \ |
684 | r1 += __FP_FRAC_ADD_4_c1; \ | |
685 | __FP_FRAC_ADD_4_c2 |= r1 < __FP_FRAC_ADD_4_c1; \ | |
51ca9e29 | 686 | r2 = x2 + y2; \ |
3a6e9887 JM |
687 | __FP_FRAC_ADD_4_c3 = r2 < x2; \ |
688 | r2 += __FP_FRAC_ADD_4_c2; \ | |
689 | __FP_FRAC_ADD_4_c3 |= r2 < __FP_FRAC_ADD_4_c2; \ | |
690 | r3 = x3 + y3 + __FP_FRAC_ADD_4_c3; \ | |
51ca9e29 | 691 | } \ |
1e145589 | 692 | while (0) |
d876f532 UD |
693 | #endif |
694 | ||
695 | #ifndef __FP_FRAC_SUB_3 | |
51ca9e29 | 696 | # define __FP_FRAC_SUB_3(r2, r1, r0, x2, x1, x0, y2, y1, y0) \ |
1e145589 JM |
697 | do \ |
698 | { \ | |
3a6e9887 | 699 | _FP_W_TYPE __FP_FRAC_SUB_3_c1, __FP_FRAC_SUB_3_c2; \ |
1e145589 | 700 | r0 = x0 - y0; \ |
3a6e9887 | 701 | __FP_FRAC_SUB_3_c1 = r0 > x0; \ |
1e145589 | 702 | r1 = x1 - y1; \ |
3a6e9887 JM |
703 | __FP_FRAC_SUB_3_c2 = r1 > x1; \ |
704 | r1 -= __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; \ | |
1e145589 JM |
707 | } \ |
708 | while (0) | |
d876f532 UD |
709 | #endif |
710 | ||
51ca9e29 JM |
711 | #ifndef __FP_FRAC_SUB_4 |
712 | # define __FP_FRAC_SUB_4(r3, r2, r1, r0, x3, x2, x1, x0, y3, y2, y1, y0) \ | |
713 | do \ | |
714 | { \ | |
3a6e9887 JM |
715 | _FP_W_TYPE __FP_FRAC_SUB_4_c1, __FP_FRAC_SUB_4_c2; \ |
716 | _FP_W_TYPE __FP_FRAC_SUB_4_c3; \ | |
51ca9e29 | 717 | r0 = x0 - y0; \ |
3a6e9887 | 718 | __FP_FRAC_SUB_4_c1 = r0 > x0; \ |
51ca9e29 | 719 | r1 = x1 - y1; \ |
3a6e9887 JM |
720 | __FP_FRAC_SUB_4_c2 = r1 > x1; \ |
721 | r1 -= __FP_FRAC_SUB_4_c1; \ | |
722 | __FP_FRAC_SUB_4_c2 |= __FP_FRAC_SUB_4_c1 && (y1 == x1); \ | |
51ca9e29 | 723 | r2 = x2 - y2; \ |
3a6e9887 JM |
724 | __FP_FRAC_SUB_4_c3 = r2 > x2; \ |
725 | r2 -= __FP_FRAC_SUB_4_c2; \ | |
726 | __FP_FRAC_SUB_4_c3 |= __FP_FRAC_SUB_4_c2 && (y2 == x2); \ | |
727 | r3 = x3 - y3 - __FP_FRAC_SUB_4_c3; \ | |
51ca9e29 JM |
728 | } \ |
729 | while (0) | |
730 | #endif | |
731 | ||
d876f532 | 732 | #ifndef __FP_FRAC_DEC_3 |
51ca9e29 | 733 | # define __FP_FRAC_DEC_3(x2, x1, x0, y2, y1, y0) \ |
1e145589 JM |
734 | do \ |
735 | { \ | |
3a6e9887 JM |
736 | UWtype __FP_FRAC_DEC_3_t0, __FP_FRAC_DEC_3_t1; \ |
737 | UWtype __FP_FRAC_DEC_3_t2; \ | |
738 | __FP_FRAC_DEC_3_t0 = x0; \ | |
739 | __FP_FRAC_DEC_3_t1 = x1; \ | |
740 | __FP_FRAC_DEC_3_t2 = x2; \ | |
741 | __FP_FRAC_SUB_3 (x2, x1, x0, __FP_FRAC_DEC_3_t2, \ | |
742 | __FP_FRAC_DEC_3_t1, __FP_FRAC_DEC_3_t0, \ | |
743 | y2, y1, y0); \ | |
1e145589 JM |
744 | } \ |
745 | while (0) | |
d876f532 UD |
746 | #endif |
747 | ||
748 | #ifndef __FP_FRAC_DEC_4 | |
3a6e9887 JM |
749 | # define __FP_FRAC_DEC_4(x3, x2, x1, x0, y3, y2, y1, y0) \ |
750 | do \ | |
751 | { \ | |
752 | UWtype __FP_FRAC_DEC_4_t0, __FP_FRAC_DEC_4_t1; \ | |
753 | UWtype __FP_FRAC_DEC_4_t2, __FP_FRAC_DEC_4_t3; \ | |
754 | __FP_FRAC_DEC_4_t0 = x0; \ | |
755 | __FP_FRAC_DEC_4_t1 = x1; \ | |
756 | __FP_FRAC_DEC_4_t2 = x2; \ | |
757 | __FP_FRAC_DEC_4_t3 = x3; \ | |
758 | __FP_FRAC_SUB_4 (x3, x2, x1, x0, __FP_FRAC_DEC_4_t3, \ | |
759 | __FP_FRAC_DEC_4_t2, __FP_FRAC_DEC_4_t1, \ | |
760 | __FP_FRAC_DEC_4_t0, y3, y2, y1, y0); \ | |
761 | } \ | |
1e145589 | 762 | while (0) |
d876f532 UD |
763 | #endif |
764 | ||
765 | #ifndef __FP_FRAC_ADDI_4 | |
3a6e9887 JM |
766 | # define __FP_FRAC_ADDI_4(x3, x2, x1, x0, i) \ |
767 | do \ | |
768 | { \ | |
769 | UWtype __FP_FRAC_ADDI_4_t; \ | |
770 | __FP_FRAC_ADDI_4_t = ((x0 += i) < i); \ | |
771 | x1 += __FP_FRAC_ADDI_4_t; \ | |
772 | __FP_FRAC_ADDI_4_t = (x1 < __FP_FRAC_ADDI_4_t); \ | |
773 | x2 += __FP_FRAC_ADDI_4_t; \ | |
774 | __FP_FRAC_ADDI_4_t = (x2 < __FP_FRAC_ADDI_4_t); \ | |
775 | x3 += __FP_FRAC_ADDI_4_t; \ | |
776 | } \ | |
1e145589 | 777 | while (0) |
d876f532 UD |
778 | #endif |
779 | ||
780 | /* Convert FP values between word sizes. This appears to be more | |
c4fe3ea7 JM |
781 | complicated than I'd have expected it to be, so these might be |
782 | wrong... These macros are in any case somewhat bogus because they | |
783 | use information about what various FRAC_n variables look like | |
784 | internally [eg, that 2 word vars are X_f0 and x_f1]. But so do | |
785 | the ones in op-2.h and op-1.h. */ | |
fe0b1e85 | 786 | #define _FP_FRAC_COPY_1_4(D, S) (D##_f = S##_f[0]) |
d876f532 | 787 | |
fe0b1e85 | 788 | #define _FP_FRAC_COPY_2_4(D, S) \ |
1e145589 JM |
789 | do \ |
790 | { \ | |
791 | D##_f0 = S##_f[0]; \ | |
792 | D##_f1 = S##_f[1]; \ | |
793 | } \ | |
794 | while (0) | |
d876f532 | 795 | |
9c84384c | 796 | /* Assembly/disassembly for converting to/from integral types. |
c4fe3ea7 JM |
797 | No shifting or overflow handled here. */ |
798 | /* Put the FP value X into r, which is an integer of size rsize. */ | |
d876f532 | 799 | #define _FP_FRAC_ASSEMBLE_4(r, X, rsize) \ |
1e145589 | 800 | do \ |
d876f532 | 801 | { \ |
5c0508a3 JM |
802 | if ((rsize) <= _FP_W_TYPE_SIZE) \ |
803 | (r) = X##_f[0]; \ | |
804 | else if ((rsize) <= 2*_FP_W_TYPE_SIZE) \ | |
1e145589 | 805 | { \ |
5c0508a3 JM |
806 | (r) = X##_f[1]; \ |
807 | (r) = ((rsize) <= _FP_W_TYPE_SIZE \ | |
808 | ? 0 \ | |
809 | : (r) << _FP_W_TYPE_SIZE); \ | |
810 | (r) += X##_f[0]; \ | |
1e145589 JM |
811 | } \ |
812 | else \ | |
813 | { \ | |
c4fe3ea7 JM |
814 | /* I'm feeling lazy so we deal with int == 3words \ |
815 | (implausible) and int == 4words as a single case. */ \ | |
5c0508a3 JM |
816 | (r) = X##_f[3]; \ |
817 | (r) = ((rsize) <= _FP_W_TYPE_SIZE \ | |
818 | ? 0 \ | |
819 | : (r) << _FP_W_TYPE_SIZE); \ | |
820 | (r) += X##_f[2]; \ | |
821 | (r) = ((rsize) <= _FP_W_TYPE_SIZE \ | |
822 | ? 0 \ | |
823 | : (r) << _FP_W_TYPE_SIZE); \ | |
824 | (r) += X##_f[1]; \ | |
825 | (r) = ((rsize) <= _FP_W_TYPE_SIZE \ | |
826 | ? 0 \ | |
827 | : (r) << _FP_W_TYPE_SIZE); \ | |
828 | (r) += X##_f[0]; \ | |
1e145589 | 829 | } \ |
d876f532 | 830 | } \ |
1e145589 | 831 | while (0) |
d876f532 UD |
832 | |
833 | /* "No disassemble Number Five!" */ | |
c4fe3ea7 JM |
834 | /* Move an integer of size rsize into X's fractional part. We rely on |
835 | the _f[] array consisting of words of size _FP_W_TYPE_SIZE to avoid | |
836 | having to mask the values we store into it. */ | |
5c0508a3 JM |
837 | #define _FP_FRAC_DISASSEMBLE_4(X, r, rsize) \ |
838 | do \ | |
839 | { \ | |
840 | X##_f[0] = (r); \ | |
841 | X##_f[1] = ((rsize) <= _FP_W_TYPE_SIZE \ | |
842 | ? 0 \ | |
843 | : (r) >> _FP_W_TYPE_SIZE); \ | |
844 | X##_f[2] = ((rsize) <= 2*_FP_W_TYPE_SIZE \ | |
845 | ? 0 \ | |
846 | : (r) >> 2*_FP_W_TYPE_SIZE); \ | |
847 | X##_f[3] = ((rsize) <= 3*_FP_W_TYPE_SIZE \ | |
848 | ? 0 \ | |
849 | : (r) >> 3*_FP_W_TYPE_SIZE); \ | |
850 | } \ | |
1e145589 | 851 | while (0) |
d876f532 | 852 | |
fe0b1e85 | 853 | #define _FP_FRAC_COPY_4_1(D, S) \ |
1e145589 JM |
854 | do \ |
855 | { \ | |
856 | D##_f[0] = S##_f; \ | |
857 | D##_f[1] = D##_f[2] = D##_f[3] = 0; \ | |
858 | } \ | |
859 | while (0) | |
fe0b1e85 RM |
860 | |
861 | #define _FP_FRAC_COPY_4_2(D, S) \ | |
1e145589 JM |
862 | do \ |
863 | { \ | |
864 | D##_f[0] = S##_f0; \ | |
865 | D##_f[1] = S##_f1; \ | |
866 | D##_f[2] = D##_f[3] = 0; \ | |
867 | } \ | |
868 | while (0) | |
37002cbc | 869 | |
51ca9e29 | 870 | #define _FP_FRAC_COPY_4_4(D, S) _FP_FRAC_COPY_4 (D, S) |