drm/radeon/kms/pm: fix segfault in clock code
[linux-2.6.git] / include / math-emu / op-4.h
1 /* Software floating-point emulation.
2    Basic four-word fraction declaration and manipulation.
3    Copyright (C) 1997,1998,1999 Free Software Foundation, Inc.
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
11    modify it under the terms of the GNU Library General Public License as
12    published by the Free Software Foundation; either version 2 of the
13    License, or (at your option) any later version.
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
18    Library General Public License for more details.
19
20    You should have received a copy of the GNU Library General Public
21    License along with the GNU C Library; see the file COPYING.LIB.  If
22    not, write to the Free Software Foundation, Inc.,
23    59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.  */
24
25 #ifndef __MATH_EMU_OP_4_H__
26 #define __MATH_EMU_OP_4_H__
27
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 #define _FP_FRAC_SET_4(X,I)     __FP_FRAC_SET_4(X, I)
33 #define _FP_FRAC_HIGH_4(X)      (X##_f[3])
34 #define _FP_FRAC_LOW_4(X)       (X##_f[0])
35 #define _FP_FRAC_WORD_4(X,w)    (X##_f[w])
36
37 #define _FP_FRAC_SLL_4(X,N)                                             \
38   do {                                                                  \
39     _FP_I_TYPE _up, _down, _skip, _i;                                   \
40     _skip = (N) / _FP_W_TYPE_SIZE;                                      \
41     _up = (N) % _FP_W_TYPE_SIZE;                                        \
42     _down = _FP_W_TYPE_SIZE - _up;                                      \
43     if (!_up)                                                           \
44       for (_i = 3; _i >= _skip; --_i)                                   \
45         X##_f[_i] = X##_f[_i-_skip];                                    \
46     else                                                                \
47       {                                                                 \
48         for (_i = 3; _i > _skip; --_i)                                  \
49           X##_f[_i] = X##_f[_i-_skip] << _up                            \
50                       | X##_f[_i-_skip-1] >> _down;                     \
51         X##_f[_i--] = X##_f[0] << _up;                                  \
52       }                                                                 \
53     for (; _i >= 0; --_i)                                               \
54       X##_f[_i] = 0;                                                    \
55   } while (0)
56
57 /* This one was broken too */
58 #define _FP_FRAC_SRL_4(X,N)                                             \
59   do {                                                                  \
60     _FP_I_TYPE _up, _down, _skip, _i;                                   \
61     _skip = (N) / _FP_W_TYPE_SIZE;                                      \
62     _down = (N) % _FP_W_TYPE_SIZE;                                      \
63     _up = _FP_W_TYPE_SIZE - _down;                                      \
64     if (!_down)                                                         \
65       for (_i = 0; _i <= 3-_skip; ++_i)                                 \
66         X##_f[_i] = X##_f[_i+_skip];                                    \
67     else                                                                \
68       {                                                                 \
69         for (_i = 0; _i < 3-_skip; ++_i)                                \
70           X##_f[_i] = X##_f[_i+_skip] >> _down                          \
71                       | X##_f[_i+_skip+1] << _up;                       \
72         X##_f[_i++] = X##_f[3] >> _down;                                \
73       }                                                                 \
74     for (; _i < 4; ++_i)                                                \
75       X##_f[_i] = 0;                                                    \
76   } while (0)
77
78
79 /* Right shift with sticky-lsb. 
80  * What this actually means is that we do a standard right-shift,
81  * but that if any of the bits that fall off the right hand side
82  * were one then we always set the LSbit.
83  */
84 #define _FP_FRAC_SRS_4(X,N,size)                                        \
85   do {                                                                  \
86     _FP_I_TYPE _up, _down, _skip, _i;                                   \
87     _FP_W_TYPE _s;                                                      \
88     _skip = (N) / _FP_W_TYPE_SIZE;                                      \
89     _down = (N) % _FP_W_TYPE_SIZE;                                      \
90     _up = _FP_W_TYPE_SIZE - _down;                                      \
91     for (_s = _i = 0; _i < _skip; ++_i)                                 \
92       _s |= X##_f[_i];                                                  \
93     _s |= X##_f[_i] << _up;                                             \
94 /* s is now != 0 if we want to set the LSbit */                         \
95     if (!_down)                                                         \
96       for (_i = 0; _i <= 3-_skip; ++_i)                                 \
97         X##_f[_i] = X##_f[_i+_skip];                                    \
98     else                                                                \
99       {                                                                 \
100         for (_i = 0; _i < 3-_skip; ++_i)                                \
101           X##_f[_i] = X##_f[_i+_skip] >> _down                          \
102                       | X##_f[_i+_skip+1] << _up;                       \
103         X##_f[_i++] = X##_f[3] >> _down;                                \
104       }                                                                 \
105     for (; _i < 4; ++_i)                                                \
106       X##_f[_i] = 0;                                                    \
107     /* don't fix the LSB until the very end when we're sure f[0] is stable */   \
108     X##_f[0] |= (_s != 0);                                              \
109   } while (0)
110
111 #define _FP_FRAC_ADD_4(R,X,Y)                                           \
112   __FP_FRAC_ADD_4(R##_f[3], R##_f[2], R##_f[1], R##_f[0],               \
113                   X##_f[3], X##_f[2], X##_f[1], X##_f[0],               \
114                   Y##_f[3], Y##_f[2], Y##_f[1], Y##_f[0])
115
116 #define _FP_FRAC_SUB_4(R,X,Y)                                           \
117   __FP_FRAC_SUB_4(R##_f[3], R##_f[2], R##_f[1], R##_f[0],               \
118                   X##_f[3], X##_f[2], X##_f[1], X##_f[0],               \
119                   Y##_f[3], Y##_f[2], Y##_f[1], Y##_f[0])
120
121 #define _FP_FRAC_DEC_4(X,Y)                                             \
122   __FP_FRAC_DEC_4(X##_f[3], X##_f[2], X##_f[1], X##_f[0],               \
123                   Y##_f[3], Y##_f[2], Y##_f[1], Y##_f[0])
124
125 #define _FP_FRAC_ADDI_4(X,I)                                            \
126   __FP_FRAC_ADDI_4(X##_f[3], X##_f[2], X##_f[1], X##_f[0], I)
127
128 #define _FP_ZEROFRAC_4  0,0,0,0
129 #define _FP_MINFRAC_4   0,0,0,1
130 #define _FP_MAXFRAC_4   (~(_FP_WS_TYPE)0), (~(_FP_WS_TYPE)0), (~(_FP_WS_TYPE)0), (~(_FP_WS_TYPE)0)
131
132 #define _FP_FRAC_ZEROP_4(X)     ((X##_f[0] | X##_f[1] | X##_f[2] | X##_f[3]) == 0)
133 #define _FP_FRAC_NEGP_4(X)      ((_FP_WS_TYPE)X##_f[3] < 0)
134 #define _FP_FRAC_OVERP_4(fs,X)  (_FP_FRAC_HIGH_##fs(X) & _FP_OVERFLOW_##fs)
135 #define _FP_FRAC_CLEAR_OVERP_4(fs,X)  (_FP_FRAC_HIGH_##fs(X) &= ~_FP_OVERFLOW_##fs)
136
137 #define _FP_FRAC_EQ_4(X,Y)                              \
138  (X##_f[0] == Y##_f[0] && X##_f[1] == Y##_f[1]          \
139   && X##_f[2] == Y##_f[2] && X##_f[3] == Y##_f[3])
140
141 #define _FP_FRAC_GT_4(X,Y)                              \
142  (X##_f[3] > Y##_f[3] ||                                \
143   (X##_f[3] == Y##_f[3] && (X##_f[2] > Y##_f[2] ||      \
144    (X##_f[2] == Y##_f[2] && (X##_f[1] > Y##_f[1] ||     \
145     (X##_f[1] == Y##_f[1] && X##_f[0] > Y##_f[0])       \
146    ))                                                   \
147   ))                                                    \
148  )
149
150 #define _FP_FRAC_GE_4(X,Y)                              \
151  (X##_f[3] > Y##_f[3] ||                                \
152   (X##_f[3] == Y##_f[3] && (X##_f[2] > Y##_f[2] ||      \
153    (X##_f[2] == Y##_f[2] && (X##_f[1] > Y##_f[1] ||     \
154     (X##_f[1] == Y##_f[1] && X##_f[0] >= Y##_f[0])      \
155    ))                                                   \
156   ))                                                    \
157  )
158
159
160 #define _FP_FRAC_CLZ_4(R,X)             \
161   do {                                  \
162     if (X##_f[3])                       \
163     {                                   \
164         __FP_CLZ(R,X##_f[3]);           \
165     }                                   \
166     else if (X##_f[2])                  \
167     {                                   \
168         __FP_CLZ(R,X##_f[2]);           \
169         R += _FP_W_TYPE_SIZE;           \
170     }                                   \
171     else if (X##_f[1])                  \
172     {                                   \
173         __FP_CLZ(R,X##_f[2]);           \
174         R += _FP_W_TYPE_SIZE*2;         \
175     }                                   \
176     else                                \
177     {                                   \
178         __FP_CLZ(R,X##_f[0]);           \
179         R += _FP_W_TYPE_SIZE*3;         \
180     }                                   \
181   } while(0)
182
183
184 #define _FP_UNPACK_RAW_4(fs, X, val)                            \
185   do {                                                          \
186     union _FP_UNION_##fs _flo; _flo.flt = (val);                \
187     X##_f[0] = _flo.bits.frac0;                                 \
188     X##_f[1] = _flo.bits.frac1;                                 \
189     X##_f[2] = _flo.bits.frac2;                                 \
190     X##_f[3] = _flo.bits.frac3;                                 \
191     X##_e  = _flo.bits.exp;                                     \
192     X##_s  = _flo.bits.sign;                                    \
193   } while (0)
194
195 #define _FP_UNPACK_RAW_4_P(fs, X, val)                          \
196   do {                                                          \
197     union _FP_UNION_##fs *_flo =                                \
198       (union _FP_UNION_##fs *)(val);                            \
199                                                                 \
200     X##_f[0] = _flo->bits.frac0;                                \
201     X##_f[1] = _flo->bits.frac1;                                \
202     X##_f[2] = _flo->bits.frac2;                                \
203     X##_f[3] = _flo->bits.frac3;                                \
204     X##_e  = _flo->bits.exp;                                    \
205     X##_s  = _flo->bits.sign;                                   \
206   } while (0)
207
208 #define _FP_PACK_RAW_4(fs, val, X)                              \
209   do {                                                          \
210     union _FP_UNION_##fs _flo;                                  \
211     _flo.bits.frac0 = X##_f[0];                                 \
212     _flo.bits.frac1 = X##_f[1];                                 \
213     _flo.bits.frac2 = X##_f[2];                                 \
214     _flo.bits.frac3 = X##_f[3];                                 \
215     _flo.bits.exp   = X##_e;                                    \
216     _flo.bits.sign  = X##_s;                                    \
217     (val) = _flo.flt;                                           \
218   } while (0)
219
220 #define _FP_PACK_RAW_4_P(fs, val, X)                            \
221   do {                                                          \
222     union _FP_UNION_##fs *_flo =                                \
223       (union _FP_UNION_##fs *)(val);                            \
224                                                                 \
225     _flo->bits.frac0 = X##_f[0];                                \
226     _flo->bits.frac1 = X##_f[1];                                \
227     _flo->bits.frac2 = X##_f[2];                                \
228     _flo->bits.frac3 = X##_f[3];                                \
229     _flo->bits.exp   = X##_e;                                   \
230     _flo->bits.sign  = X##_s;                                   \
231   } while (0)
232
233 /*
234  * Multiplication algorithms:
235  */
236
237 /* Given a 1W * 1W => 2W primitive, do the extended multiplication.  */
238
239 #define _FP_MUL_MEAT_4_wide(wfracbits, R, X, Y, doit)                       \
240   do {                                                                      \
241     _FP_FRAC_DECL_8(_z); _FP_FRAC_DECL_2(_b); _FP_FRAC_DECL_2(_c);          \
242     _FP_FRAC_DECL_2(_d); _FP_FRAC_DECL_2(_e); _FP_FRAC_DECL_2(_f);          \
243                                                                             \
244     doit(_FP_FRAC_WORD_8(_z,1), _FP_FRAC_WORD_8(_z,0), X##_f[0], Y##_f[0]); \
245     doit(_b_f1, _b_f0, X##_f[0], Y##_f[1]);                                 \
246     doit(_c_f1, _c_f0, X##_f[1], Y##_f[0]);                                 \
247     doit(_d_f1, _d_f0, X##_f[1], Y##_f[1]);                                 \
248     doit(_e_f1, _e_f0, X##_f[0], Y##_f[2]);                                 \
249     doit(_f_f1, _f_f0, X##_f[2], Y##_f[0]);                                 \
250     __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,3),_FP_FRAC_WORD_8(_z,2),            \
251                     _FP_FRAC_WORD_8(_z,1), 0,_b_f1,_b_f0,                   \
252                     0,0,_FP_FRAC_WORD_8(_z,1));                             \
253     __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,3),_FP_FRAC_WORD_8(_z,2),            \
254                     _FP_FRAC_WORD_8(_z,1), 0,_c_f1,_c_f0,                   \
255                     _FP_FRAC_WORD_8(_z,3),_FP_FRAC_WORD_8(_z,2),            \
256                     _FP_FRAC_WORD_8(_z,1));                                 \
257     __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,4),_FP_FRAC_WORD_8(_z,3),            \
258                     _FP_FRAC_WORD_8(_z,2), 0,_d_f1,_d_f0,                   \
259                     0,_FP_FRAC_WORD_8(_z,3),_FP_FRAC_WORD_8(_z,2));         \
260     __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,4),_FP_FRAC_WORD_8(_z,3),            \
261                     _FP_FRAC_WORD_8(_z,2), 0,_e_f1,_e_f0,                   \
262                     _FP_FRAC_WORD_8(_z,4),_FP_FRAC_WORD_8(_z,3),            \
263                     _FP_FRAC_WORD_8(_z,2));                                 \
264     __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,4),_FP_FRAC_WORD_8(_z,3),            \
265                     _FP_FRAC_WORD_8(_z,2), 0,_f_f1,_f_f0,                   \
266                     _FP_FRAC_WORD_8(_z,4),_FP_FRAC_WORD_8(_z,3),            \
267                     _FP_FRAC_WORD_8(_z,2));                                 \
268     doit(_b_f1, _b_f0, X##_f[0], Y##_f[3]);                                 \
269     doit(_c_f1, _c_f0, X##_f[3], Y##_f[0]);                                 \
270     doit(_d_f1, _d_f0, X##_f[1], Y##_f[2]);                                 \
271     doit(_e_f1, _e_f0, X##_f[2], Y##_f[1]);                                 \
272     __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,5),_FP_FRAC_WORD_8(_z,4),            \
273                     _FP_FRAC_WORD_8(_z,3), 0,_b_f1,_b_f0,                   \
274                     0,_FP_FRAC_WORD_8(_z,4),_FP_FRAC_WORD_8(_z,3));         \
275     __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,5),_FP_FRAC_WORD_8(_z,4),            \
276                     _FP_FRAC_WORD_8(_z,3), 0,_c_f1,_c_f0,                   \
277                     _FP_FRAC_WORD_8(_z,5),_FP_FRAC_WORD_8(_z,4),            \
278                     _FP_FRAC_WORD_8(_z,3));                                 \
279     __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,5),_FP_FRAC_WORD_8(_z,4),            \
280                     _FP_FRAC_WORD_8(_z,3), 0,_d_f1,_d_f0,                   \
281                     _FP_FRAC_WORD_8(_z,5),_FP_FRAC_WORD_8(_z,4),            \
282                     _FP_FRAC_WORD_8(_z,3));                                 \
283     __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,5),_FP_FRAC_WORD_8(_z,4),            \
284                     _FP_FRAC_WORD_8(_z,3), 0,_e_f1,_e_f0,                   \
285                     _FP_FRAC_WORD_8(_z,5),_FP_FRAC_WORD_8(_z,4),            \
286                     _FP_FRAC_WORD_8(_z,3));                                 \
287     doit(_b_f1, _b_f0, X##_f[2], Y##_f[2]);                                 \
288     doit(_c_f1, _c_f0, X##_f[1], Y##_f[3]);                                 \
289     doit(_d_f1, _d_f0, X##_f[3], Y##_f[1]);                                 \
290     doit(_e_f1, _e_f0, X##_f[2], Y##_f[3]);                                 \
291     doit(_f_f1, _f_f0, X##_f[3], Y##_f[2]);                                 \
292     __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,6),_FP_FRAC_WORD_8(_z,5),            \
293                     _FP_FRAC_WORD_8(_z,4), 0,_b_f1,_b_f0,                   \
294                     0,_FP_FRAC_WORD_8(_z,5),_FP_FRAC_WORD_8(_z,4));         \
295     __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,6),_FP_FRAC_WORD_8(_z,5),            \
296                     _FP_FRAC_WORD_8(_z,4), 0,_c_f1,_c_f0,                   \
297                     _FP_FRAC_WORD_8(_z,6),_FP_FRAC_WORD_8(_z,5),            \
298                     _FP_FRAC_WORD_8(_z,4));                                 \
299     __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,6),_FP_FRAC_WORD_8(_z,5),            \
300                     _FP_FRAC_WORD_8(_z,4), 0,_d_f1,_d_f0,                   \
301                     _FP_FRAC_WORD_8(_z,6),_FP_FRAC_WORD_8(_z,5),            \
302                     _FP_FRAC_WORD_8(_z,4));                                 \
303     __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,7),_FP_FRAC_WORD_8(_z,6),            \
304                     _FP_FRAC_WORD_8(_z,5), 0,_e_f1,_e_f0,                   \
305                     0,_FP_FRAC_WORD_8(_z,6),_FP_FRAC_WORD_8(_z,5));         \
306     __FP_FRAC_ADD_3(_FP_FRAC_WORD_8(_z,7),_FP_FRAC_WORD_8(_z,6),            \
307                     _FP_FRAC_WORD_8(_z,5), 0,_f_f1,_f_f0,                   \
308                     _FP_FRAC_WORD_8(_z,7),_FP_FRAC_WORD_8(_z,6),            \
309                     _FP_FRAC_WORD_8(_z,5));                                 \
310     doit(_b_f1, _b_f0, X##_f[3], Y##_f[3]);                                 \
311     __FP_FRAC_ADD_2(_FP_FRAC_WORD_8(_z,7),_FP_FRAC_WORD_8(_z,6),            \
312                     _b_f1,_b_f0,                                            \
313                     _FP_FRAC_WORD_8(_z,7),_FP_FRAC_WORD_8(_z,6));           \
314                                                                             \
315     /* Normalize since we know where the msb of the multiplicands           \
316        were (bit B), we know that the msb of the of the product is          \
317        at either 2B or 2B-1.  */                                            \
318     _FP_FRAC_SRS_8(_z, wfracbits-1, 2*wfracbits);                           \
319     __FP_FRAC_SET_4(R, _FP_FRAC_WORD_8(_z,3), _FP_FRAC_WORD_8(_z,2),        \
320                     _FP_FRAC_WORD_8(_z,1), _FP_FRAC_WORD_8(_z,0));          \
321   } while (0)
322
323 #define _FP_MUL_MEAT_4_gmp(wfracbits, R, X, Y)                              \
324   do {                                                                      \
325     _FP_FRAC_DECL_8(_z);                                                    \
326                                                                             \
327     mpn_mul_n(_z_f, _x_f, _y_f, 4);                                         \
328                                                                             \
329     /* Normalize since we know where the msb of the multiplicands           \
330        were (bit B), we know that the msb of the of the product is          \
331        at either 2B or 2B-1.  */                                            \
332     _FP_FRAC_SRS_8(_z, wfracbits-1, 2*wfracbits);                           \
333     __FP_FRAC_SET_4(R, _FP_FRAC_WORD_8(_z,3), _FP_FRAC_WORD_8(_z,2),        \
334                     _FP_FRAC_WORD_8(_z,1), _FP_FRAC_WORD_8(_z,0));          \
335   } while (0)
336
337 /*
338  * Helper utility for _FP_DIV_MEAT_4_udiv:
339  * pppp = m * nnn
340  */
341 #define umul_ppppmnnn(p3,p2,p1,p0,m,n2,n1,n0)                               \
342   do {                                                                      \
343     UWtype _t;                                                              \
344     umul_ppmm(p1,p0,m,n0);                                                  \
345     umul_ppmm(p2,_t,m,n1);                                                  \
346     __FP_FRAC_ADDI_2(p2,p1,_t);                                             \
347     umul_ppmm(p3,_t,m,n2);                                                  \
348     __FP_FRAC_ADDI_2(p3,p2,_t);                                             \
349   } while (0)
350
351 /*
352  * Division algorithms:
353  */
354
355 #define _FP_DIV_MEAT_4_udiv(fs, R, X, Y)                                    \
356   do {                                                                      \
357     int _i;                                                                 \
358     _FP_FRAC_DECL_4(_n); _FP_FRAC_DECL_4(_m);                               \
359     _FP_FRAC_SET_4(_n, _FP_ZEROFRAC_4);                                     \
360     if (_FP_FRAC_GT_4(X, Y))                                                \
361       {                                                                     \
362         _n_f[3] = X##_f[0] << (_FP_W_TYPE_SIZE - 1);                        \
363         _FP_FRAC_SRL_4(X, 1);                                               \
364       }                                                                     \
365     else                                                                    \
366       R##_e--;                                                              \
367                                                                             \
368     /* Normalize, i.e. make the most significant bit of the                 \
369        denominator set. */                                                  \
370     _FP_FRAC_SLL_4(Y, _FP_WFRACXBITS_##fs);                                 \
371                                                                             \
372     for (_i = 3; ; _i--)                                                    \
373       {                                                                     \
374         if (X##_f[3] == Y##_f[3])                                           \
375           {                                                                 \
376             /* This is a special case, not an optimization                  \
377                (X##_f[3]/Y##_f[3] would not fit into UWtype).               \
378                As X## is guaranteed to be < Y,  R##_f[_i] can be either     \
379                (UWtype)-1 or (UWtype)-2.  */                                \
380             R##_f[_i] = -1;                                                 \
381             if (!_i)                                                        \
382               break;                                                        \
383             __FP_FRAC_SUB_4(X##_f[3], X##_f[2], X##_f[1], X##_f[0],         \
384                             Y##_f[2], Y##_f[1], Y##_f[0], 0,                \
385                             X##_f[2], X##_f[1], X##_f[0], _n_f[_i]);        \
386             _FP_FRAC_SUB_4(X, Y, X);                                        \
387             if (X##_f[3] > Y##_f[3])                                        \
388               {                                                             \
389                 R##_f[_i] = -2;                                             \
390                 _FP_FRAC_ADD_4(X, Y, X);                                    \
391               }                                                             \
392           }                                                                 \
393         else                                                                \
394           {                                                                 \
395             udiv_qrnnd(R##_f[_i], X##_f[3], X##_f[3], X##_f[2], Y##_f[3]);  \
396             umul_ppppmnnn(_m_f[3], _m_f[2], _m_f[1], _m_f[0],               \
397                           R##_f[_i], Y##_f[2], Y##_f[1], Y##_f[0]);         \
398             X##_f[2] = X##_f[1];                                            \
399             X##_f[1] = X##_f[0];                                            \
400             X##_f[0] = _n_f[_i];                                            \
401             if (_FP_FRAC_GT_4(_m, X))                                       \
402               {                                                             \
403                 R##_f[_i]--;                                                \
404                 _FP_FRAC_ADD_4(X, Y, X);                                    \
405                 if (_FP_FRAC_GE_4(X, Y) && _FP_FRAC_GT_4(_m, X))            \
406                   {                                                         \
407                     R##_f[_i]--;                                            \
408                     _FP_FRAC_ADD_4(X, Y, X);                                \
409                   }                                                         \
410               }                                                             \
411             _FP_FRAC_DEC_4(X, _m);                                          \
412             if (!_i)                                                        \
413               {                                                             \
414                 if (!_FP_FRAC_EQ_4(X, _m))                                  \
415                   R##_f[0] |= _FP_WORK_STICKY;                              \
416                 break;                                                      \
417               }                                                             \
418           }                                                                 \
419       }                                                                     \
420   } while (0)
421
422
423 /*
424  * Square root algorithms:
425  * We have just one right now, maybe Newton approximation
426  * should be added for those machines where division is fast.
427  */
428  
429 #define _FP_SQRT_MEAT_4(R, S, T, X, q)                          \
430   do {                                                          \
431     while (q)                                                   \
432       {                                                         \
433         T##_f[3] = S##_f[3] + q;                                \
434         if (T##_f[3] <= X##_f[3])                               \
435           {                                                     \
436             S##_f[3] = T##_f[3] + q;                            \
437             X##_f[3] -= T##_f[3];                               \
438             R##_f[3] += q;                                      \
439           }                                                     \
440         _FP_FRAC_SLL_4(X, 1);                                   \
441         q >>= 1;                                                \
442       }                                                         \
443     q = (_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE - 1);                 \
444     while (q)                                                   \
445       {                                                         \
446         T##_f[2] = S##_f[2] + q;                                \
447         T##_f[3] = S##_f[3];                                    \
448         if (T##_f[3] < X##_f[3] ||                              \
449             (T##_f[3] == X##_f[3] && T##_f[2] <= X##_f[2]))     \
450           {                                                     \
451             S##_f[2] = T##_f[2] + q;                            \
452             S##_f[3] += (T##_f[2] > S##_f[2]);                  \
453             __FP_FRAC_DEC_2(X##_f[3], X##_f[2],                 \
454                             T##_f[3], T##_f[2]);                \
455             R##_f[2] += q;                                      \
456           }                                                     \
457         _FP_FRAC_SLL_4(X, 1);                                   \
458         q >>= 1;                                                \
459       }                                                         \
460     q = (_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE - 1);                 \
461     while (q)                                                   \
462       {                                                         \
463         T##_f[1] = S##_f[1] + q;                                \
464         T##_f[2] = S##_f[2];                                    \
465         T##_f[3] = S##_f[3];                                    \
466         if (T##_f[3] < X##_f[3] ||                              \
467             (T##_f[3] == X##_f[3] && (T##_f[2] < X##_f[2] ||    \
468              (T##_f[2] == X##_f[2] && T##_f[1] <= X##_f[1]))))  \
469           {                                                     \
470             S##_f[1] = T##_f[1] + q;                            \
471             S##_f[2] += (T##_f[1] > S##_f[1]);                  \
472             S##_f[3] += (T##_f[2] > S##_f[2]);                  \
473             __FP_FRAC_DEC_3(X##_f[3], X##_f[2], X##_f[1],       \
474                             T##_f[3], T##_f[2], T##_f[1]);      \
475             R##_f[1] += q;                                      \
476           }                                                     \
477         _FP_FRAC_SLL_4(X, 1);                                   \
478         q >>= 1;                                                \
479       }                                                         \
480     q = (_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE - 1);                 \
481     while (q != _FP_WORK_ROUND)                                 \
482       {                                                         \
483         T##_f[0] = S##_f[0] + q;                                \
484         T##_f[1] = S##_f[1];                                    \
485         T##_f[2] = S##_f[2];                                    \
486         T##_f[3] = S##_f[3];                                    \
487         if (_FP_FRAC_GE_4(X,T))                                 \
488           {                                                     \
489             S##_f[0] = T##_f[0] + q;                            \
490             S##_f[1] += (T##_f[0] > S##_f[0]);                  \
491             S##_f[2] += (T##_f[1] > S##_f[1]);                  \
492             S##_f[3] += (T##_f[2] > S##_f[2]);                  \
493             _FP_FRAC_DEC_4(X, T);                               \
494             R##_f[0] += q;                                      \
495           }                                                     \
496         _FP_FRAC_SLL_4(X, 1);                                   \
497         q >>= 1;                                                \
498       }                                                         \
499     if (!_FP_FRAC_ZEROP_4(X))                                   \
500       {                                                         \
501         if (_FP_FRAC_GT_4(X,S))                                 \
502           R##_f[0] |= _FP_WORK_ROUND;                           \
503         R##_f[0] |= _FP_WORK_STICKY;                            \
504       }                                                         \
505   } while (0)
506
507
508 /*
509  * Internals 
510  */
511
512 #define __FP_FRAC_SET_4(X,I3,I2,I1,I0)                                  \
513   (X##_f[3] = I3, X##_f[2] = I2, X##_f[1] = I1, X##_f[0] = I0)
514
515 #ifndef __FP_FRAC_ADD_3
516 #define __FP_FRAC_ADD_3(r2,r1,r0,x2,x1,x0,y2,y1,y0)             \
517   do {                                                          \
518     int _c1, _c2;                                                       \
519     r0 = x0 + y0;                                               \
520     _c1 = r0 < x0;                                              \
521     r1 = x1 + y1;                                               \
522     _c2 = r1 < x1;                                              \
523     r1 += _c1;                                                  \
524     _c2 |= r1 < _c1;                                            \
525     r2 = x2 + y2 + _c2;                                         \
526   } while (0)
527 #endif
528
529 #ifndef __FP_FRAC_ADD_4
530 #define __FP_FRAC_ADD_4(r3,r2,r1,r0,x3,x2,x1,x0,y3,y2,y1,y0)    \
531   do {                                                          \
532     int _c1, _c2, _c3;                                          \
533     r0 = x0 + y0;                                               \
534     _c1 = r0 < x0;                                              \
535     r1 = x1 + y1;                                               \
536     _c2 = r1 < x1;                                              \
537     r1 += _c1;                                                  \
538     _c2 |= r1 < _c1;                                            \
539     r2 = x2 + y2;                                               \
540     _c3 = r2 < x2;                                              \
541     r2 += _c2;                                                  \
542     _c3 |= r2 < _c2;                                            \
543     r3 = x3 + y3 + _c3;                                         \
544   } while (0)
545 #endif
546
547 #ifndef __FP_FRAC_SUB_3
548 #define __FP_FRAC_SUB_3(r2,r1,r0,x2,x1,x0,y2,y1,y0)             \
549   do {                                                          \
550     int _c1, _c2;                                                       \
551     r0 = x0 - y0;                                               \
552     _c1 = r0 > x0;                                              \
553     r1 = x1 - y1;                                               \
554     _c2 = r1 > x1;                                              \
555     r1 -= _c1;                                                  \
556     _c2 |= r1 > _c1;                                            \
557     r2 = x2 - y2 - _c2;                                         \
558   } while (0)
559 #endif
560
561 #ifndef __FP_FRAC_SUB_4
562 #define __FP_FRAC_SUB_4(r3,r2,r1,r0,x3,x2,x1,x0,y3,y2,y1,y0)    \
563   do {                                                          \
564     int _c1, _c2, _c3;                                          \
565     r0 = x0 - y0;                                               \
566     _c1 = r0 > x0;                                              \
567     r1 = x1 - y1;                                               \
568     _c2 = r1 > x1;                                              \
569     r1 -= _c1;                                                  \
570     _c2 |= r1 > _c1;                                            \
571     r2 = x2 - y2;                                               \
572     _c3 = r2 > x2;                                              \
573     r2 -= _c2;                                                  \
574     _c3 |= r2 > _c2;                                            \
575     r3 = x3 - y3 - _c3;                                         \
576   } while (0)
577 #endif
578
579 #ifndef __FP_FRAC_DEC_3
580 #define __FP_FRAC_DEC_3(x2,x1,x0,y2,y1,y0)                              \
581   do {                                                                  \
582     UWtype _t0, _t1, _t2;                                               \
583     _t0 = x0, _t1 = x1, _t2 = x2;                                       \
584     __FP_FRAC_SUB_3 (x2, x1, x0, _t2, _t1, _t0, y2, y1, y0);            \
585   } while (0)
586 #endif
587
588 #ifndef __FP_FRAC_DEC_4
589 #define __FP_FRAC_DEC_4(x3,x2,x1,x0,y3,y2,y1,y0)                        \
590   do {                                                                  \
591     UWtype _t0, _t1, _t2, _t3;                                          \
592     _t0 = x0, _t1 = x1, _t2 = x2, _t3 = x3;                             \
593     __FP_FRAC_SUB_4 (x3,x2,x1,x0,_t3,_t2,_t1,_t0, y3,y2,y1,y0);         \
594   } while (0)
595 #endif
596
597 #ifndef __FP_FRAC_ADDI_4
598 #define __FP_FRAC_ADDI_4(x3,x2,x1,x0,i)                                 \
599   do {                                                                  \
600     UWtype _t;                                                          \
601     _t = ((x0 += i) < i);                                               \
602     x1 += _t; _t = (x1 < _t);                                           \
603     x2 += _t; _t = (x2 < _t);                                           \
604     x3 += _t;                                                           \
605   } while (0)
606 #endif
607
608 /* Convert FP values between word sizes. This appears to be more
609  * complicated than I'd have expected it to be, so these might be
610  * wrong... These macros are in any case somewhat bogus because they
611  * use information about what various FRAC_n variables look like 
612  * internally [eg, that 2 word vars are X_f0 and x_f1]. But so do
613  * the ones in op-2.h and op-1.h. 
614  */
615 #define _FP_FRAC_CONV_1_4(dfs, sfs, D, S)                               \
616    do {                                                                 \
617      if (S##_c != FP_CLS_NAN)                                           \
618        _FP_FRAC_SRS_4(S, (_FP_WFRACBITS_##sfs - _FP_WFRACBITS_##dfs),   \
619                           _FP_WFRACBITS_##sfs);                         \
620      else                                                               \
621        _FP_FRAC_SRL_4(S, (_FP_WFRACBITS_##sfs - _FP_WFRACBITS_##dfs));  \
622      D##_f = S##_f[0];                                                  \
623   } while (0)
624
625 #define _FP_FRAC_CONV_2_4(dfs, sfs, D, S)                               \
626    do {                                                                 \
627      if (S##_c != FP_CLS_NAN)                                           \
628        _FP_FRAC_SRS_4(S, (_FP_WFRACBITS_##sfs - _FP_WFRACBITS_##dfs),   \
629                       _FP_WFRACBITS_##sfs);                             \
630      else                                                               \
631        _FP_FRAC_SRL_4(S, (_FP_WFRACBITS_##sfs - _FP_WFRACBITS_##dfs));  \
632      D##_f0 = S##_f[0];                                                 \
633      D##_f1 = S##_f[1];                                                 \
634   } while (0)
635
636 /* Assembly/disassembly for converting to/from integral types.  
637  * No shifting or overflow handled here.
638  */
639 /* Put the FP value X into r, which is an integer of size rsize. */
640 #define _FP_FRAC_ASSEMBLE_4(r, X, rsize)                                \
641   do {                                                                  \
642     if (rsize <= _FP_W_TYPE_SIZE)                                       \
643       r = X##_f[0];                                                     \
644     else if (rsize <= 2*_FP_W_TYPE_SIZE)                                \
645     {                                                                   \
646       r = X##_f[1];                                                     \
647       r <<= _FP_W_TYPE_SIZE;                                            \
648       r += X##_f[0];                                                    \
649     }                                                                   \
650     else                                                                \
651     {                                                                   \
652       /* I'm feeling lazy so we deal with int == 3words (implausible)*/ \
653       /* and int == 4words as a single case.                     */     \
654       r = X##_f[3];                                                     \
655       r <<= _FP_W_TYPE_SIZE;                                            \
656       r += X##_f[2];                                                    \
657       r <<= _FP_W_TYPE_SIZE;                                            \
658       r += X##_f[1];                                                    \
659       r <<= _FP_W_TYPE_SIZE;                                            \
660       r += X##_f[0];                                                    \
661     }                                                                   \
662   } while (0)
663
664 /* "No disassemble Number Five!" */
665 /* move an integer of size rsize into X's fractional part. We rely on
666  * the _f[] array consisting of words of size _FP_W_TYPE_SIZE to avoid
667  * having to mask the values we store into it.
668  */
669 #define _FP_FRAC_DISASSEMBLE_4(X, r, rsize)                             \
670   do {                                                                  \
671     X##_f[0] = r;                                                       \
672     X##_f[1] = (rsize <= _FP_W_TYPE_SIZE ? 0 : r >> _FP_W_TYPE_SIZE);   \
673     X##_f[2] = (rsize <= 2*_FP_W_TYPE_SIZE ? 0 : r >> 2*_FP_W_TYPE_SIZE); \
674     X##_f[3] = (rsize <= 3*_FP_W_TYPE_SIZE ? 0 : r >> 3*_FP_W_TYPE_SIZE); \
675   } while (0)
676
677 #define _FP_FRAC_CONV_4_1(dfs, sfs, D, S)                               \
678    do {                                                                 \
679      D##_f[0] = S##_f;                                                  \
680      D##_f[1] = D##_f[2] = D##_f[3] = 0;                                \
681      _FP_FRAC_SLL_4(D, (_FP_WFRACBITS_##dfs - _FP_WFRACBITS_##sfs));    \
682    } while (0)
683
684 #define _FP_FRAC_CONV_4_2(dfs, sfs, D, S)                               \
685    do {                                                                 \
686      D##_f[0] = S##_f0;                                                 \
687      D##_f[1] = S##_f1;                                                 \
688      D##_f[2] = D##_f[3] = 0;                                           \
689      _FP_FRAC_SLL_4(D, (_FP_WFRACBITS_##dfs - _FP_WFRACBITS_##sfs));    \
690    } while (0)
691
692 #endif