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1 | /* Software floating-point emulation. |
2 | Basic one-word fraction declaration and manipulation. | |
a334319f | 3 | Copyright (C) 1997,1998,1999 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 UD |
14 | |
15 | The GNU C Library is distributed in the hope that it will be useful, | |
16 | but WITHOUT ANY WARRANTY; without even the implied warranty of | |
17 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | |
41bdb6e2 | 18 | Lesser General Public License for more details. |
d876f532 | 19 | |
41bdb6e2 AJ |
20 | You should have received a copy of the GNU Lesser General Public |
21 | License along with the GNU C Library; if not, write to the Free | |
a334319f UD |
22 | Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA |
23 | 02111-1307 USA. */ | |
d876f532 UD |
24 | |
25 | #define _FP_FRAC_DECL_1(X) _FP_W_TYPE X##_f | |
26 | #define _FP_FRAC_COPY_1(D,S) (D##_f = S##_f) | |
27 | #define _FP_FRAC_SET_1(X,I) (X##_f = I) | |
28 | #define _FP_FRAC_HIGH_1(X) (X##_f) | |
29 | #define _FP_FRAC_LOW_1(X) (X##_f) | |
30 | #define _FP_FRAC_WORD_1(X,w) (X##_f) | |
31 | ||
32 | #define _FP_FRAC_ADDI_1(X,I) (X##_f += I) | |
33 | #define _FP_FRAC_SLL_1(X,N) \ | |
34 | do { \ | |
35 | if (__builtin_constant_p(N) && (N) == 1) \ | |
36 | X##_f += X##_f; \ | |
37 | else \ | |
38 | X##_f <<= (N); \ | |
39 | } while (0) | |
40 | #define _FP_FRAC_SRL_1(X,N) (X##_f >>= N) | |
41 | ||
42 | /* Right shift with sticky-lsb. */ | |
43 | #define _FP_FRAC_SRS_1(X,N,sz) __FP_FRAC_SRS_1(X##_f, N, sz) | |
44 | ||
45 | #define __FP_FRAC_SRS_1(X,N,sz) \ | |
46 | (X = (X >> (N) | (__builtin_constant_p(N) && (N) == 1 \ | |
47 | ? X & 1 : (X << (_FP_W_TYPE_SIZE - (N))) != 0))) | |
48 | ||
49 | #define _FP_FRAC_ADD_1(R,X,Y) (R##_f = X##_f + Y##_f) | |
50 | #define _FP_FRAC_SUB_1(R,X,Y) (R##_f = X##_f - Y##_f) | |
51 | #define _FP_FRAC_DEC_1(X,Y) (X##_f -= Y##_f) | |
52 | #define _FP_FRAC_CLZ_1(z, X) __FP_CLZ(z, X##_f) | |
53 | ||
54 | /* Predicates */ | |
55 | #define _FP_FRAC_NEGP_1(X) ((_FP_WS_TYPE)X##_f < 0) | |
56 | #define _FP_FRAC_ZEROP_1(X) (X##_f == 0) | |
57 | #define _FP_FRAC_OVERP_1(fs,X) (X##_f & _FP_OVERFLOW_##fs) | |
cf299341 | 58 | #define _FP_FRAC_CLEAR_OVERP_1(fs,X) (X##_f &= ~_FP_OVERFLOW_##fs) |
d876f532 UD |
59 | #define _FP_FRAC_EQ_1(X, Y) (X##_f == Y##_f) |
60 | #define _FP_FRAC_GE_1(X, Y) (X##_f >= Y##_f) | |
61 | #define _FP_FRAC_GT_1(X, Y) (X##_f > Y##_f) | |
62 | ||
63 | #define _FP_ZEROFRAC_1 0 | |
64 | #define _FP_MINFRAC_1 1 | |
65 | #define _FP_MAXFRAC_1 (~(_FP_WS_TYPE)0) | |
66 | ||
67 | /* | |
68 | * Unpack the raw bits of a native fp value. Do not classify or | |
69 | * normalize the data. | |
70 | */ | |
71 | ||
72 | #define _FP_UNPACK_RAW_1(fs, X, val) \ | |
73 | do { \ | |
74 | union _FP_UNION_##fs _flo; _flo.flt = (val); \ | |
75 | \ | |
76 | X##_f = _flo.bits.frac; \ | |
77 | X##_e = _flo.bits.exp; \ | |
78 | X##_s = _flo.bits.sign; \ | |
79 | } while (0) | |
80 | ||
81 | #define _FP_UNPACK_RAW_1_P(fs, X, val) \ | |
82 | do { \ | |
83 | union _FP_UNION_##fs *_flo = \ | |
84 | (union _FP_UNION_##fs *)(val); \ | |
85 | \ | |
86 | X##_f = _flo->bits.frac; \ | |
87 | X##_e = _flo->bits.exp; \ | |
88 | X##_s = _flo->bits.sign; \ | |
89 | } while (0) | |
90 | ||
91 | /* | |
92 | * Repack the raw bits of a native fp value. | |
93 | */ | |
94 | ||
95 | #define _FP_PACK_RAW_1(fs, val, X) \ | |
96 | do { \ | |
97 | union _FP_UNION_##fs _flo; \ | |
98 | \ | |
99 | _flo.bits.frac = X##_f; \ | |
100 | _flo.bits.exp = X##_e; \ | |
101 | _flo.bits.sign = X##_s; \ | |
102 | \ | |
103 | (val) = _flo.flt; \ | |
104 | } while (0) | |
105 | ||
106 | #define _FP_PACK_RAW_1_P(fs, val, X) \ | |
107 | do { \ | |
108 | union _FP_UNION_##fs *_flo = \ | |
109 | (union _FP_UNION_##fs *)(val); \ | |
110 | \ | |
111 | _flo->bits.frac = X##_f; \ | |
112 | _flo->bits.exp = X##_e; \ | |
113 | _flo->bits.sign = X##_s; \ | |
114 | } while (0) | |
115 | ||
116 | ||
117 | /* | |
118 | * Multiplication algorithms: | |
119 | */ | |
120 | ||
121 | /* Basic. Assuming the host word size is >= 2*FRACBITS, we can do the | |
122 | multiplication immediately. */ | |
123 | ||
124 | #define _FP_MUL_MEAT_1_imm(wfracbits, R, X, Y) \ | |
125 | do { \ | |
126 | R##_f = X##_f * Y##_f; \ | |
127 | /* Normalize since we know where the msb of the multiplicands \ | |
128 | were (bit B), we know that the msb of the of the product is \ | |
129 | at either 2B or 2B-1. */ \ | |
130 | _FP_FRAC_SRS_1(R, wfracbits-1, 2*wfracbits); \ | |
131 | } while (0) | |
132 | ||
133 | /* Given a 1W * 1W => 2W primitive, do the extended multiplication. */ | |
134 | ||
135 | #define _FP_MUL_MEAT_1_wide(wfracbits, R, X, Y, doit) \ | |
136 | do { \ | |
137 | _FP_W_TYPE _Z_f0, _Z_f1; \ | |
138 | doit(_Z_f1, _Z_f0, X##_f, Y##_f); \ | |
139 | /* Normalize since we know where the msb of the multiplicands \ | |
140 | were (bit B), we know that the msb of the of the product is \ | |
141 | at either 2B or 2B-1. */ \ | |
142 | _FP_FRAC_SRS_2(_Z, wfracbits-1, 2*wfracbits); \ | |
143 | R##_f = _Z_f0; \ | |
144 | } while (0) | |
145 | ||
146 | /* Finally, a simple widening multiply algorithm. What fun! */ | |
147 | ||
148 | #define _FP_MUL_MEAT_1_hard(wfracbits, R, X, Y) \ | |
149 | do { \ | |
150 | _FP_W_TYPE _xh, _xl, _yh, _yl, _z_f0, _z_f1, _a_f0, _a_f1; \ | |
151 | \ | |
152 | /* split the words in half */ \ | |
153 | _xh = X##_f >> (_FP_W_TYPE_SIZE/2); \ | |
154 | _xl = X##_f & (((_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE/2)) - 1); \ | |
155 | _yh = Y##_f >> (_FP_W_TYPE_SIZE/2); \ | |
156 | _yl = Y##_f & (((_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE/2)) - 1); \ | |
157 | \ | |
158 | /* multiply the pieces */ \ | |
159 | _z_f0 = _xl * _yl; \ | |
160 | _a_f0 = _xh * _yl; \ | |
161 | _a_f1 = _xl * _yh; \ | |
162 | _z_f1 = _xh * _yh; \ | |
163 | \ | |
164 | /* reassemble into two full words */ \ | |
165 | if ((_a_f0 += _a_f1) < _a_f1) \ | |
166 | _z_f1 += (_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE/2); \ | |
167 | _a_f1 = _a_f0 >> (_FP_W_TYPE_SIZE/2); \ | |
168 | _a_f0 = _a_f0 << (_FP_W_TYPE_SIZE/2); \ | |
169 | _FP_FRAC_ADD_2(_z, _z, _a); \ | |
170 | \ | |
171 | /* normalize */ \ | |
172 | _FP_FRAC_SRS_2(_z, wfracbits - 1, 2*wfracbits); \ | |
173 | R##_f = _z_f0; \ | |
174 | } while (0) | |
175 | ||
176 | ||
177 | /* | |
178 | * Division algorithms: | |
179 | */ | |
180 | ||
181 | /* Basic. Assuming the host word size is >= 2*FRACBITS, we can do the | |
182 | division immediately. Give this macro either _FP_DIV_HELP_imm for | |
183 | C primitives or _FP_DIV_HELP_ldiv for the ISO function. Which you | |
184 | choose will depend on what the compiler does with divrem4. */ | |
185 | ||
186 | #define _FP_DIV_MEAT_1_imm(fs, R, X, Y, doit) \ | |
187 | do { \ | |
188 | _FP_W_TYPE _q, _r; \ | |
189 | X##_f <<= (X##_f < Y##_f \ | |
190 | ? R##_e--, _FP_WFRACBITS_##fs \ | |
191 | : _FP_WFRACBITS_##fs - 1); \ | |
192 | doit(_q, _r, X##_f, Y##_f); \ | |
193 | R##_f = _q | (_r != 0); \ | |
194 | } while (0) | |
195 | ||
196 | /* GCC's longlong.h defines a 2W / 1W => (1W,1W) primitive udiv_qrnnd | |
197 | that may be useful in this situation. This first is for a primitive | |
198 | that requires normalization, the second for one that does not. Look | |
199 | for UDIV_NEEDS_NORMALIZATION to tell which your machine needs. */ | |
200 | ||
201 | #define _FP_DIV_MEAT_1_udiv_norm(fs, R, X, Y) \ | |
202 | do { \ | |
cbc85992 | 203 | _FP_W_TYPE _nh, _nl, _q, _r, _y; \ |
d876f532 UD |
204 | \ |
205 | /* Normalize Y -- i.e. make the most significant bit set. */ \ | |
cbc85992 | 206 | _y = Y##_f << _FP_WFRACXBITS_##fs; \ |
d876f532 UD |
207 | \ |
208 | /* Shift X op correspondingly high, that is, up one full word. */ \ | |
cbc85992 | 209 | if (X##_f < Y##_f) \ |
d876f532 | 210 | { \ |
cbc85992 | 211 | R##_e--; \ |
d876f532 UD |
212 | _nl = 0; \ |
213 | _nh = X##_f; \ | |
214 | } \ | |
215 | else \ | |
216 | { \ | |
cbc85992 | 217 | _nl = X##_f << (_FP_W_TYPE_SIZE - 1); \ |
d876f532 UD |
218 | _nh = X##_f >> 1; \ |
219 | } \ | |
220 | \ | |
cbc85992 | 221 | udiv_qrnnd(_q, _r, _nh, _nl, _y); \ |
d876f532 UD |
222 | R##_f = _q | (_r != 0); \ |
223 | } while (0) | |
224 | ||
225 | #define _FP_DIV_MEAT_1_udiv(fs, R, X, Y) \ | |
226 | do { \ | |
227 | _FP_W_TYPE _nh, _nl, _q, _r; \ | |
228 | if (X##_f < Y##_f) \ | |
229 | { \ | |
230 | R##_e--; \ | |
231 | _nl = X##_f << _FP_WFRACBITS_##fs; \ | |
232 | _nh = X##_f >> _FP_WFRACXBITS_##fs; \ | |
233 | } \ | |
234 | else \ | |
235 | { \ | |
236 | _nl = X##_f << (_FP_WFRACBITS_##fs - 1); \ | |
237 | _nh = X##_f >> (_FP_WFRACXBITS_##fs + 1); \ | |
238 | } \ | |
239 | udiv_qrnnd(_q, _r, _nh, _nl, Y##_f); \ | |
240 | R##_f = _q | (_r != 0); \ | |
241 | } while (0) | |
242 | ||
243 | ||
244 | /* | |
245 | * Square root algorithms: | |
246 | * We have just one right now, maybe Newton approximation | |
247 | * should be added for those machines where division is fast. | |
248 | */ | |
249 | ||
250 | #define _FP_SQRT_MEAT_1(R, S, T, X, q) \ | |
251 | do { \ | |
252 | while (q != _FP_WORK_ROUND) \ | |
253 | { \ | |
254 | T##_f = S##_f + q; \ | |
255 | if (T##_f <= X##_f) \ | |
256 | { \ | |
257 | S##_f = T##_f + q; \ | |
258 | X##_f -= T##_f; \ | |
259 | R##_f += q; \ | |
260 | } \ | |
261 | _FP_FRAC_SLL_1(X, 1); \ | |
262 | q >>= 1; \ | |
263 | } \ | |
264 | if (X##_f) \ | |
265 | { \ | |
266 | if (S##_f < X##_f) \ | |
267 | R##_f |= _FP_WORK_ROUND; \ | |
268 | R##_f |= _FP_WORK_STICKY; \ | |
269 | } \ | |
270 | } while (0) | |
271 | ||
272 | /* | |
273 | * Assembly/disassembly for converting to/from integral types. | |
274 | * No shifting or overflow handled here. | |
275 | */ | |
276 | ||
277 | #define _FP_FRAC_ASSEMBLE_1(r, X, rsize) (r = X##_f) | |
278 | #define _FP_FRAC_DISASSEMBLE_1(X, r, rsize) (X##_f = r) | |
279 | ||
280 | ||
281 | /* | |
282 | * Convert FP values between word sizes | |
283 | */ | |
284 | ||
a334319f UD |
285 | #define _FP_FRAC_CONV_1_1(dfs, sfs, D, S) \ |
286 | do { \ | |
287 | D##_f = S##_f; \ | |
288 | if (_FP_WFRACBITS_##sfs > _FP_WFRACBITS_##dfs) \ | |
289 | { \ | |
290 | if (S##_c != FP_CLS_NAN) \ | |
291 | _FP_FRAC_SRS_1(D, (_FP_WFRACBITS_##sfs-_FP_WFRACBITS_##dfs), \ | |
292 | _FP_WFRACBITS_##sfs); \ | |
293 | else \ | |
294 | _FP_FRAC_SRL_1(D, (_FP_WFRACBITS_##sfs-_FP_WFRACBITS_##dfs)); \ | |
295 | } \ | |
296 | else \ | |
297 | D##_f <<= _FP_WFRACBITS_##dfs - _FP_WFRACBITS_##sfs; \ | |
298 | } while (0) |