| blob | c9ae626070daf1d9d6e05e7c9882c5dc5757a092 |
1 /*
2 * Basic four-word fraction declaration and manipulation.
3 *
4 * When adding quadword support for 32 bit machines, we need
5 * to be a little careful as double multiply uses some of these
6 * macros: (in op-2.h)
7 * _FP_MUL_MEAT_2_wide() uses _FP_FRAC_DECL_4, _FP_FRAC_WORD_4,
8 * _FP_FRAC_ADD_4, _FP_FRAC_SRS_4
9 * _FP_MUL_MEAT_2_gmp() uses _FP_FRAC_SRS_4 (and should use
10 * _FP_FRAC_DECL_4: it appears to be broken and is not used
11 * anywhere anyway. )
12 *
13 * I've now fixed all the macros that were here from the sparc64 code.
14 * [*none* of the shift macros were correct!] -- PMM 02/1998
15 *
16 * The only quadword stuff that remains to be coded is:
17 * 1) the conversion to/from ints, which requires
18 * that we check (in op-common.h) that the following do the right thing
19 * for quadwords: _FP_TO_INT(Q,4,r,X,rsz,rsg), _FP_FROM_INT(Q,4,X,r,rs,rt)
20 * 2) multiply, divide and sqrt, which require:
21 * _FP_MUL_MEAT_4_*(R,X,Y), _FP_DIV_MEAT_4_*(R,X,Y), _FP_SQRT_MEAT_4(R,S,T,X,q),
22 * This also needs _FP_MUL_MEAT_Q and _FP_DIV_MEAT_Q to be defined to
23 * some suitable _FP_MUL_MEAT_4_* macros in sfp-machine.h.
24 * [we're free to choose whatever FP_MUL_MEAT_4_* macros we need for
25 * these; they are used nowhere else. ]
26 */
28 #define _FP_FRAC_DECL_4(X) _FP_W_TYPE X##_f[4]
29 #define _FP_FRAC_COPY_4(D,S) \
30 (D##_f[0] = S##_f[0], D##_f[1] = S##_f[1], \
31 D##_f[2] = S##_f[2], D##_f[3] = S##_f[3])
32 /* The _FP_FRAC_SET_n(X,I) macro is intended for use with another
33 * macro such as _FP_ZEROFRAC_n which returns n comma separated values.
34 * The result is that we get an expansion of __FP_FRAC_SET_n(X,I0,I1,I2,I3)
35 * which just assigns the In values to the array X##_f[].
36 * This is why the number of parameters doesn't appear to match
37 * at first glance... -- PMM
38 */
39 #define _FP_FRAC_SET_4(X,I) __FP_FRAC_SET_4(X, I)
40 #define _FP_FRAC_HIGH_4(X) (X##_f[3])
41 #define _FP_FRAC_LOW_4(X) (X##_f[0])
42 #define _FP_FRAC_WORD_4(X,w) (X##_f[w])
44 #define _FP_FRAC_SLL_4(X,N) \
45 do { \
46 _FP_I_TYPE _up, _down, _skip, _i; \
47 _skip = (N) / _FP_W_TYPE_SIZE; \
48 _up = (N) % _FP_W_TYPE_SIZE; \
49 _down = _FP_W_TYPE_SIZE - _up; \
50 for (_i = 3; _i > _skip; --_i) \
51 X##_f[_i] = X##_f[_i-_skip] << _up | X##_f[_i-_skip-1] >> _down; \
53 X##_f[_i] = X##_f[0] << _up; \
54 for (--_i; _i >= 0; --_i) \
55 X##_f[_i] = 0; \
56 } while (0)
58 /* This one was broken too */
59 #define _FP_FRAC_SRL_4(X,N) \
60 do { \
61 _FP_I_TYPE _up, _down, _skip, _i; \
62 _skip = (N) / _FP_W_TYPE_SIZE; \
63 _down = (N) % _FP_W_TYPE_SIZE; \
64 _up = _FP_W_TYPE_SIZE - _down; \
65 for (_i = 0; _i < 3-_skip; ++_i) \
66 X##_f[_i] = X##_f[_i+_skip] >> _down | X##_f[_i+_skip+1] << _up; \
67 X##_f[_i] = X##_f[3] >> _down; \
68 for (++_i; _i < 4; ++_i) \
69 X##_f[_i] = 0; \
70 } while (0)
73 /* Right shift with sticky-lsb.
74 * What this actually means is that we do a standard right-shift,
75 * but that if any of the bits that fall off the right hand side
76 * were one then we always set the LSbit.
77 */
78 #define _FP_FRAC_SRS_4(X,N,size) \
79 do { \
80 _FP_I_TYPE _up, _down, _skip, _i; \
81 _FP_W_TYPE _s; \
82 _skip = (N) / _FP_W_TYPE_SIZE; \
83 _down = (N) % _FP_W_TYPE_SIZE; \
84 _up = _FP_W_TYPE_SIZE - _down; \
85 for (_s = _i = 0; _i < _skip; ++_i) \
86 _s |= X##_f[_i]; \
87 _s |= X##_f[_i] << _up; \
89 for (_i = 0; _i < 3-_skip; ++_i) \
90 X##_f[_i] = X##_f[_i+_skip] >> _down | X##_f[_i+_skip+1] << _up; \
91 X##_f[_i] = X##_f[3] >> _down; \
92 for (++_i; _i < 4; ++_i) \
93 X##_f[_i] = 0; \
95 X##_f[0] |= (_s != 0); \
96 } while (0)
98 #define _FP_FRAC_ADD_4(R,X,Y) \
99 __FP_FRAC_ADD_4(R##_f[3], R##_f[2], R##_f[1], R##_f[0], \
100 X##_f[3], X##_f[2], X##_f[1], X##_f[0], \
101 Y##_f[3], Y##_f[2], Y##_f[1], Y##_f[0])
103 #define _FP_FRAC_SUB_4(R,X,Y) \
104 __FP_FRAC_SUB_4(R##_f[3], R##_f[2], R##_f[1], R##_f[0], \
105 X##_f[3], X##_f[2], X##_f[1], X##_f[0], \
106 Y##_f[3], Y##_f[2], Y##_f[1], Y##_f[0])
108 #define _FP_FRAC_ADDI_4(X,I) \
109 __FP_FRAC_ADDI_4(X##_f[3], X##_f[2], X##_f[1], X##_f[0], I)
111 #define _FP_ZEROFRAC_4 0,0,0,0
112 #define _FP_MINFRAC_4 0,0,0,1
114 #define _FP_FRAC_ZEROP_4(X) ((X##_f[0] | X##_f[1] | X##_f[2] | X##_f[3]) == 0)
115 #define _FP_FRAC_NEGP_4(X) ((_FP_WS_TYPE)X##_f[3] < 0)
116 #define _FP_FRAC_OVERP_4(fs,X) (X##_f[0] & _FP_OVERFLOW_##fs)
118 #define _FP_FRAC_EQ_4(X,Y) \
119 (X##_f[0] == Y##_f[0] && X##_f[1] == Y##_f[1] \
120 && X##_f[2] == Y##_f[2] && X##_f[3] == Y##_f[3])
122 #define _FP_FRAC_GT_4(X,Y) \
123 (X##_f[3] > Y##_f[3] || \
124 (X##_f[3] == Y##_f[3] && (X##_f[2] > Y##_f[2] || \
125 (X##_f[2] == Y##_f[2] && (X##_f[1] > Y##_f[1] || \
126 (X##_f[1] == Y##_f[1] && X##_f[0] > Y##_f[0]) \
127 )) \
128 )) \
129 )
131 #define _FP_FRAC_GE_4(X,Y) \
132 (X##_f[3] > Y##_f[3] || \
133 (X##_f[3] == Y##_f[3] && (X##_f[2] > Y##_f[2] || \
134 (X##_f[2] == Y##_f[2] && (X##_f[1] > Y##_f[1] || \
135 (X##_f[1] == Y##_f[1] && X##_f[0] >= Y##_f[0]) \
136 )) \
137 )) \
138 )
141 #define _FP_FRAC_CLZ_4(R,X) \
142 do { \
143 if (X##_f[3]) \
144 { \
145 __FP_CLZ(R,X##_f[3]); \
146 } \
147 else if (X##_f[2]) \
148 { \
149 __FP_CLZ(R,X##_f[2]); \
150 R += _FP_W_TYPE_SIZE; \
151 } \
152 else if (X##_f[1]) \
153 { \
154 __FP_CLZ(R,X##_f[2]); \
155 R += _FP_W_TYPE_SIZE*2; \
156 } \
157 else \
158 { \
159 __FP_CLZ(R,X##_f[0]); \
160 R += _FP_W_TYPE_SIZE*3; \
161 } \
162 } while(0)
165 #define _FP_UNPACK_RAW_4(fs, X, val) \
166 do { \
167 union _FP_UNION_##fs _flo; _flo.flt = (val); \
168 X##_f[0] = _flo.bits.frac0; \
169 X##_f[1] = _flo.bits.frac1; \
170 X##_f[2] = _flo.bits.frac2; \
171 X##_f[3] = _flo.bits.frac3; \
172 X##_e = _flo.bits.exp; \
173 X##_s = _flo.bits.sign; \
174 } while (0)
176 #define _FP_PACK_RAW_4(fs, val, X) \
177 do { \
178 union _FP_UNION_##fs _flo; \
179 _flo.bits.frac0 = X##_f[0]; \
180 _flo.bits.frac1 = X##_f[1]; \
181 _flo.bits.frac2 = X##_f[2]; \
182 _flo.bits.frac3 = X##_f[3]; \
183 _flo.bits.exp = X##_e; \
184 _flo.bits.sign = X##_s; \
185 (val) = _flo.flt; \
186 } while (0)
189 /*
190 * Internals
191 */
193 #define __FP_FRAC_SET_4(X,I3,I2,I1,I0) \
194 (X##_f[3] = I3, X##_f[2] = I2, X##_f[1] = I1, X##_f[0] = I0)
196 #ifndef __FP_FRAC_ADD_4
197 #define __FP_FRAC_ADD_4(r3,r2,r1,r0,x3,x2,x1,x0,y3,y2,y1,y0) \
198 do { \
199 int _c1, _c2, _c3; \
200 r0 = x0 + y0; \
201 _c1 = r0 < x0; \
202 r1 = x1 + y1; \
203 _c2 = r1 < x1; \
204 r1 += _c1; \
205 _c2 |= r1 < _c1; \
206 r2 = x2 + y2; \
207 _c3 = r2 < x2; \
208 r2 += _c2; \
209 _c3 |= r2 < _c2; \
210 r3 = x3 + y3 + _c3; \
211 } while (0)
212 #endif
214 #ifndef __FP_FRAC_SUB_4
215 #define __FP_FRAC_SUB_4(r3,r2,r1,r0,x3,x2,x1,x0,y3,y2,y1,y0) \
216 do { \
217 int _c1, _c2, _c3; \
218 r0 = x0 - y0; \
219 _c1 = r0 > x0; \
220 r1 = x1 - y1; \
221 _c2 = r1 > x1; \
222 r1 -= _c1; \
223 _c2 |= r1 > _c1; \
224 r2 = x2 - y2; \
225 _c3 = r2 > x2; \
226 r2 -= _c2; \
227 _c3 |= r2 > _c2; \
228 r3 = x3 - y3 - _c3; \
229 } while (0)
230 #endif
232 #ifndef __FP_FRAC_ADDI_4
233 /* I always wanted to be a lisp programmer :-> */
234 #define __FP_FRAC_ADDI_4(x3,x2,x1,x0,i) \
235 (x3 += ((x2 += ((x1 += ((x0 += i) < x0)) < x1) < x2)))
236 #endif
238 /* Convert FP values between word sizes. This appears to be more
239 * complicated than I'd have expected it to be, so these might be
240 * wrong... These macros are in any case somewhat bogus because they
241 * use information about what various FRAC_n variables look like
242 * internally [eg, that 2 word vars are X_f0 and x_f1]. But so do
243 * the ones in op-2.h and op-1.h.
244 */
245 #define _FP_FRAC_CONV_1_4(dfs, sfs, D, S) \
246 do { \
247 _FP_FRAC_SRS_4(S, (_FP_WFRACBITS_##sfs - _FP_WFRACBITS_##dfs), \
248 _FP_WFRACBITS_##sfs); \
249 D##_f = S##_f[0]; \
250 } while (0)
252 #define _FP_FRAC_CONV_2_4(dfs, sfs, D, S) \
253 do { \
254 _FP_FRAC_SRS_4(S, (_FP_WFRACBITS_##sfs - _FP_WFRACBITS_##dfs), \
255 _FP_WFRACBITS_##sfs); \
256 D##_f0 = S##_f[0]; \
257 D##_f1 = S##_f[1]; \
258 } while (0)
260 /* Assembly/disassembly for converting to/from integral types.
261 * No shifting or overflow handled here.
262 */
263 /* Put the FP value X into r, which is an integer of size rsize. */
264 #define _FP_FRAC_ASSEMBLE_4(r, X, rsize) \
265 do { \
266 if (rsize <= _FP_W_TYPE_SIZE) \
267 r = X##_f[0]; \
268 else if (rsize <= 2*_FP_W_TYPE_SIZE) \
269 { \
270 r = X##_f[1]; \
271 r <<= _FP_W_TYPE_SIZE; \
272 r += X##_f[0]; \
273 } \
274 else \
275 { \
278 r = X##_f[3]; \
279 r <<= _FP_W_TYPE_SIZE; \
280 r += X##_f[2]; \
281 r <<= _FP_W_TYPE_SIZE; \
282 r += X##_f[1]; \
283 r <<= _FP_W_TYPE_SIZE; \
284 r += X##_f[0]; \
285 } \
286 } while (0)
288 /* "No disassemble Number Five!" */
289 /* move an integer of size rsize into X's fractional part. We rely on
290 * the _f[] array consisting of words of size _FP_W_TYPE_SIZE to avoid
291 * having to mask the values we store into it.
292 */
293 #define _FP_FRAC_DISASSEMBLE_4(X, r, rsize) \
294 do { \
295 X##_f[0] = r; \
296 X##_f[1] = (rsize <= _FP_W_TYPE_SIZE ? 0 : r >> _FP_W_TYPE_SIZE); \
297 X##_f[2] = (rsize <= 2*_FP_W_TYPE_SIZE ? 0 : r >> 2*_FP_W_TYPE_SIZE); \
298 X##_f[3] = (rsize <= 3*_FP_W_TYPE_SIZE ? 0 : r >> 3*_FP_W_TYPE_SIZE); \
299 } while (0)
301 #define _FP_FRAC_CONV_4_1(dfs, sfs, D, S) \
302 do { \
303 D##_f[0] = S##_f; \
304 D##_f[1] = D##_f[2] = D##_f[3] = 0; \
305 _FP_FRAC_SLL_4(D, (_FP_WFRACBITS_##dfs - _FP_WFRACBITS_##sfs)); \
306 } while (0)
308 #define _FP_FRAC_CONV_4_2(dfs, sfs, D, S) \
309 do { \
310 D##_f[0] = S##_f0; \
311 D##_f[1] = S##_f1; \
312 D##_f[2] = D##_f[3] = 0; \
313 _FP_FRAC_SLL_4(D, (_FP_WFRACBITS_##dfs - _FP_WFRACBITS_##sfs)); \
314 } while (0)
316 /* FIXME! This has to be written */
317 #define _FP_SQRT_MEAT_4(R, S, T, X, q)