diff options
author | Linus Torvalds <torvalds@ppc970.osdl.org> | 2005-04-16 18:20:36 -0400 |
---|---|---|
committer | Linus Torvalds <torvalds@ppc970.osdl.org> | 2005-04-16 18:20:36 -0400 |
commit | 1da177e4c3f41524e886b7f1b8a0c1fc7321cac2 (patch) | |
tree | 0bba044c4ce775e45a88a51686b5d9f90697ea9d /include/math-emu |
Linux-2.6.12-rc2v2.6.12-rc2
Initial git repository build. I'm not bothering with the full history,
even though we have it. We can create a separate "historical" git
archive of that later if we want to, and in the meantime it's about
3.2GB when imported into git - space that would just make the early
git days unnecessarily complicated, when we don't have a lot of good
infrastructure for it.
Let it rip!
Diffstat (limited to 'include/math-emu')
-rw-r--r-- | include/math-emu/double.h | 205 | ||||
-rw-r--r-- | include/math-emu/extended.h | 396 | ||||
-rw-r--r-- | include/math-emu/op-1.h | 303 | ||||
-rw-r--r-- | include/math-emu/op-2.h | 613 | ||||
-rw-r--r-- | include/math-emu/op-4.h | 692 | ||||
-rw-r--r-- | include/math-emu/op-8.h | 107 | ||||
-rw-r--r-- | include/math-emu/op-common.h | 853 | ||||
-rw-r--r-- | include/math-emu/quad.h | 208 | ||||
-rw-r--r-- | include/math-emu/single.h | 116 | ||||
-rw-r--r-- | include/math-emu/soft-fp.h | 181 |
10 files changed, 3674 insertions, 0 deletions
diff --git a/include/math-emu/double.h b/include/math-emu/double.h new file mode 100644 index 000000000000..655ccf1c4739 --- /dev/null +++ b/include/math-emu/double.h | |||
@@ -0,0 +1,205 @@ | |||
1 | /* Software floating-point emulation. | ||
2 | Definitions for IEEE Double Precision | ||
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_DOUBLE_H__ | ||
26 | #define __MATH_EMU_DOUBLE_H__ | ||
27 | |||
28 | #if _FP_W_TYPE_SIZE < 32 | ||
29 | #error "Here's a nickel kid. Go buy yourself a real computer." | ||
30 | #endif | ||
31 | |||
32 | #if _FP_W_TYPE_SIZE < 64 | ||
33 | #define _FP_FRACTBITS_D (2 * _FP_W_TYPE_SIZE) | ||
34 | #else | ||
35 | #define _FP_FRACTBITS_D _FP_W_TYPE_SIZE | ||
36 | #endif | ||
37 | |||
38 | #define _FP_FRACBITS_D 53 | ||
39 | #define _FP_FRACXBITS_D (_FP_FRACTBITS_D - _FP_FRACBITS_D) | ||
40 | #define _FP_WFRACBITS_D (_FP_WORKBITS + _FP_FRACBITS_D) | ||
41 | #define _FP_WFRACXBITS_D (_FP_FRACTBITS_D - _FP_WFRACBITS_D) | ||
42 | #define _FP_EXPBITS_D 11 | ||
43 | #define _FP_EXPBIAS_D 1023 | ||
44 | #define _FP_EXPMAX_D 2047 | ||
45 | |||
46 | #define _FP_QNANBIT_D \ | ||
47 | ((_FP_W_TYPE)1 << (_FP_FRACBITS_D-2) % _FP_W_TYPE_SIZE) | ||
48 | #define _FP_IMPLBIT_D \ | ||
49 | ((_FP_W_TYPE)1 << (_FP_FRACBITS_D-1) % _FP_W_TYPE_SIZE) | ||
50 | #define _FP_OVERFLOW_D \ | ||
51 | ((_FP_W_TYPE)1 << _FP_WFRACBITS_D % _FP_W_TYPE_SIZE) | ||
52 | |||
53 | #if _FP_W_TYPE_SIZE < 64 | ||
54 | |||
55 | union _FP_UNION_D | ||
56 | { | ||
57 | double flt; | ||
58 | struct { | ||
59 | #if __BYTE_ORDER == __BIG_ENDIAN | ||
60 | unsigned sign : 1; | ||
61 | unsigned exp : _FP_EXPBITS_D; | ||
62 | unsigned frac1 : _FP_FRACBITS_D - (_FP_IMPLBIT_D != 0) - _FP_W_TYPE_SIZE; | ||
63 | unsigned frac0 : _FP_W_TYPE_SIZE; | ||
64 | #else | ||
65 | unsigned frac0 : _FP_W_TYPE_SIZE; | ||
66 | unsigned frac1 : _FP_FRACBITS_D - (_FP_IMPLBIT_D != 0) - _FP_W_TYPE_SIZE; | ||
67 | unsigned exp : _FP_EXPBITS_D; | ||
68 | unsigned sign : 1; | ||
69 | #endif | ||
70 | } bits __attribute__((packed)); | ||
71 | }; | ||
72 | |||
73 | #define FP_DECL_D(X) _FP_DECL(2,X) | ||
74 | #define FP_UNPACK_RAW_D(X,val) _FP_UNPACK_RAW_2(D,X,val) | ||
75 | #define FP_UNPACK_RAW_DP(X,val) _FP_UNPACK_RAW_2_P(D,X,val) | ||
76 | #define FP_PACK_RAW_D(val,X) _FP_PACK_RAW_2(D,val,X) | ||
77 | #define FP_PACK_RAW_DP(val,X) \ | ||
78 | do { \ | ||
79 | if (!FP_INHIBIT_RESULTS) \ | ||
80 | _FP_PACK_RAW_2_P(D,val,X); \ | ||
81 | } while (0) | ||
82 | |||
83 | #define FP_UNPACK_D(X,val) \ | ||
84 | do { \ | ||
85 | _FP_UNPACK_RAW_2(D,X,val); \ | ||
86 | _FP_UNPACK_CANONICAL(D,2,X); \ | ||
87 | } while (0) | ||
88 | |||
89 | #define FP_UNPACK_DP(X,val) \ | ||
90 | do { \ | ||
91 | _FP_UNPACK_RAW_2_P(D,X,val); \ | ||
92 | _FP_UNPACK_CANONICAL(D,2,X); \ | ||
93 | } while (0) | ||
94 | |||
95 | #define FP_PACK_D(val,X) \ | ||
96 | do { \ | ||
97 | _FP_PACK_CANONICAL(D,2,X); \ | ||
98 | _FP_PACK_RAW_2(D,val,X); \ | ||
99 | } while (0) | ||
100 | |||
101 | #define FP_PACK_DP(val,X) \ | ||
102 | do { \ | ||
103 | _FP_PACK_CANONICAL(D,2,X); \ | ||
104 | if (!FP_INHIBIT_RESULTS) \ | ||
105 | _FP_PACK_RAW_2_P(D,val,X); \ | ||
106 | } while (0) | ||
107 | |||
108 | #define FP_ISSIGNAN_D(X) _FP_ISSIGNAN(D,2,X) | ||
109 | #define FP_NEG_D(R,X) _FP_NEG(D,2,R,X) | ||
110 | #define FP_ADD_D(R,X,Y) _FP_ADD(D,2,R,X,Y) | ||
111 | #define FP_SUB_D(R,X,Y) _FP_SUB(D,2,R,X,Y) | ||
112 | #define FP_MUL_D(R,X,Y) _FP_MUL(D,2,R,X,Y) | ||
113 | #define FP_DIV_D(R,X,Y) _FP_DIV(D,2,R,X,Y) | ||
114 | #define FP_SQRT_D(R,X) _FP_SQRT(D,2,R,X) | ||
115 | #define _FP_SQRT_MEAT_D(R,S,T,X,Q) _FP_SQRT_MEAT_2(R,S,T,X,Q) | ||
116 | |||
117 | #define FP_CMP_D(r,X,Y,un) _FP_CMP(D,2,r,X,Y,un) | ||
118 | #define FP_CMP_EQ_D(r,X,Y) _FP_CMP_EQ(D,2,r,X,Y) | ||
119 | |||
120 | #define FP_TO_INT_D(r,X,rsz,rsg) _FP_TO_INT(D,2,r,X,rsz,rsg) | ||
121 | #define FP_TO_INT_ROUND_D(r,X,rsz,rsg) _FP_TO_INT_ROUND(D,2,r,X,rsz,rsg) | ||
122 | #define FP_FROM_INT_D(X,r,rs,rt) _FP_FROM_INT(D,2,X,r,rs,rt) | ||
123 | |||
124 | #define _FP_FRAC_HIGH_D(X) _FP_FRAC_HIGH_2(X) | ||
125 | #define _FP_FRAC_HIGH_RAW_D(X) _FP_FRAC_HIGH_2(X) | ||
126 | |||
127 | #else | ||
128 | |||
129 | union _FP_UNION_D | ||
130 | { | ||
131 | double flt; | ||
132 | struct { | ||
133 | #if __BYTE_ORDER == __BIG_ENDIAN | ||
134 | unsigned sign : 1; | ||
135 | unsigned exp : _FP_EXPBITS_D; | ||
136 | unsigned long frac : _FP_FRACBITS_D - (_FP_IMPLBIT_D != 0); | ||
137 | #else | ||
138 | unsigned long frac : _FP_FRACBITS_D - (_FP_IMPLBIT_D != 0); | ||
139 | unsigned exp : _FP_EXPBITS_D; | ||
140 | unsigned sign : 1; | ||
141 | #endif | ||
142 | } bits __attribute__((packed)); | ||
143 | }; | ||
144 | |||
145 | #define FP_DECL_D(X) _FP_DECL(1,X) | ||
146 | #define FP_UNPACK_RAW_D(X,val) _FP_UNPACK_RAW_1(D,X,val) | ||
147 | #define FP_UNPACK_RAW_DP(X,val) _FP_UNPACK_RAW_1_P(D,X,val) | ||
148 | #define FP_PACK_RAW_D(val,X) _FP_PACK_RAW_1(D,val,X) | ||
149 | #define FP_PACK_RAW_DP(val,X) \ | ||
150 | do { \ | ||
151 | if (!FP_INHIBIT_RESULTS) \ | ||
152 | _FP_PACK_RAW_1_P(D,val,X); \ | ||
153 | } while (0) | ||
154 | |||
155 | #define FP_UNPACK_D(X,val) \ | ||
156 | do { \ | ||
157 | _FP_UNPACK_RAW_1(D,X,val); \ | ||
158 | _FP_UNPACK_CANONICAL(D,1,X); \ | ||
159 | } while (0) | ||
160 | |||
161 | #define FP_UNPACK_DP(X,val) \ | ||
162 | do { \ | ||
163 | _FP_UNPACK_RAW_1_P(D,X,val); \ | ||
164 | _FP_UNPACK_CANONICAL(D,1,X); \ | ||
165 | } while (0) | ||
166 | |||
167 | #define FP_PACK_D(val,X) \ | ||
168 | do { \ | ||
169 | _FP_PACK_CANONICAL(D,1,X); \ | ||
170 | _FP_PACK_RAW_1(D,val,X); \ | ||
171 | } while (0) | ||
172 | |||
173 | #define FP_PACK_DP(val,X) \ | ||
174 | do { \ | ||
175 | _FP_PACK_CANONICAL(D,1,X); \ | ||
176 | if (!FP_INHIBIT_RESULTS) \ | ||
177 | _FP_PACK_RAW_1_P(D,val,X); \ | ||
178 | } while (0) | ||
179 | |||
180 | #define FP_ISSIGNAN_D(X) _FP_ISSIGNAN(D,1,X) | ||
181 | #define FP_NEG_D(R,X) _FP_NEG(D,1,R,X) | ||
182 | #define FP_ADD_D(R,X,Y) _FP_ADD(D,1,R,X,Y) | ||
183 | #define FP_SUB_D(R,X,Y) _FP_SUB(D,1,R,X,Y) | ||
184 | #define FP_MUL_D(R,X,Y) _FP_MUL(D,1,R,X,Y) | ||
185 | #define FP_DIV_D(R,X,Y) _FP_DIV(D,1,R,X,Y) | ||
186 | #define FP_SQRT_D(R,X) _FP_SQRT(D,1,R,X) | ||
187 | #define _FP_SQRT_MEAT_D(R,S,T,X,Q) _FP_SQRT_MEAT_1(R,S,T,X,Q) | ||
188 | |||
189 | /* The implementation of _FP_MUL_D and _FP_DIV_D should be chosen by | ||
190 | the target machine. */ | ||
191 | |||
192 | #define FP_CMP_D(r,X,Y,un) _FP_CMP(D,1,r,X,Y,un) | ||
193 | #define FP_CMP_EQ_D(r,X,Y) _FP_CMP_EQ(D,1,r,X,Y) | ||
194 | |||
195 | #define FP_TO_INT_D(r,X,rsz,rsg) _FP_TO_INT(D,1,r,X,rsz,rsg) | ||
196 | #define FP_TO_INT_ROUND_D(r,X,rsz,rsg) _FP_TO_INT_ROUND(D,1,r,X,rsz,rsg) | ||
197 | #define FP_FROM_INT_D(X,r,rs,rt) _FP_FROM_INT(D,1,X,r,rs,rt) | ||
198 | |||
199 | #define _FP_FRAC_HIGH_D(X) _FP_FRAC_HIGH_1(X) | ||
200 | #define _FP_FRAC_HIGH_RAW_D(X) _FP_FRAC_HIGH_1(X) | ||
201 | |||
202 | #endif /* W_TYPE_SIZE < 64 */ | ||
203 | |||
204 | |||
205 | #endif /* __MATH_EMU_DOUBLE_H__ */ | ||
diff --git a/include/math-emu/extended.h b/include/math-emu/extended.h new file mode 100644 index 000000000000..84770fceb53e --- /dev/null +++ b/include/math-emu/extended.h | |||
@@ -0,0 +1,396 @@ | |||
1 | /* Software floating-point emulation. | ||
2 | Definitions for IEEE Extended Precision. | ||
3 | Copyright (C) 1999 Free Software Foundation, Inc. | ||
4 | This file is part of the GNU C Library. | ||
5 | Contributed by Jakub Jelinek (jj@ultra.linux.cz). | ||
6 | |||
7 | The GNU C Library is free software; you can redistribute it and/or | ||
8 | modify it under the terms of the GNU Library General Public License as | ||
9 | published by the Free Software Foundation; either version 2 of the | ||
10 | License, or (at your option) any later version. | ||
11 | |||
12 | The GNU C Library is distributed in the hope that it will be useful, | ||
13 | but WITHOUT ANY WARRANTY; without even the implied warranty of | ||
14 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | ||
15 | Library General Public License for more details. | ||
16 | |||
17 | You should have received a copy of the GNU Library General Public | ||
18 | License along with the GNU C Library; see the file COPYING.LIB. If | ||
19 | not, write to the Free Software Foundation, Inc., | ||
20 | 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. */ | ||
21 | |||
22 | |||
23 | #ifndef __MATH_EMU_EXTENDED_H__ | ||
24 | #define __MATH_EMU_EXTENDED_H__ | ||
25 | |||
26 | #if _FP_W_TYPE_SIZE < 32 | ||
27 | #error "Here's a nickel, kid. Go buy yourself a real computer." | ||
28 | #endif | ||
29 | |||
30 | #if _FP_W_TYPE_SIZE < 64 | ||
31 | #define _FP_FRACTBITS_E (4*_FP_W_TYPE_SIZE) | ||
32 | #else | ||
33 | #define _FP_FRACTBITS_E (2*_FP_W_TYPE_SIZE) | ||
34 | #endif | ||
35 | |||
36 | #define _FP_FRACBITS_E 64 | ||
37 | #define _FP_FRACXBITS_E (_FP_FRACTBITS_E - _FP_FRACBITS_E) | ||
38 | #define _FP_WFRACBITS_E (_FP_WORKBITS + _FP_FRACBITS_E) | ||
39 | #define _FP_WFRACXBITS_E (_FP_FRACTBITS_E - _FP_WFRACBITS_E) | ||
40 | #define _FP_EXPBITS_E 15 | ||
41 | #define _FP_EXPBIAS_E 16383 | ||
42 | #define _FP_EXPMAX_E 32767 | ||
43 | |||
44 | #define _FP_QNANBIT_E \ | ||
45 | ((_FP_W_TYPE)1 << (_FP_FRACBITS_E-2) % _FP_W_TYPE_SIZE) | ||
46 | #define _FP_IMPLBIT_E \ | ||
47 | ((_FP_W_TYPE)1 << (_FP_FRACBITS_E-1) % _FP_W_TYPE_SIZE) | ||
48 | #define _FP_OVERFLOW_E \ | ||
49 | ((_FP_W_TYPE)1 << (_FP_WFRACBITS_E % _FP_W_TYPE_SIZE)) | ||
50 | |||
51 | #if _FP_W_TYPE_SIZE < 64 | ||
52 | |||
53 | union _FP_UNION_E | ||
54 | { | ||
55 | long double flt; | ||
56 | struct | ||
57 | { | ||
58 | #if __BYTE_ORDER == __BIG_ENDIAN | ||
59 | unsigned long pad1 : _FP_W_TYPE_SIZE; | ||
60 | unsigned long pad2 : (_FP_W_TYPE_SIZE - 1 - _FP_EXPBITS_E); | ||
61 | unsigned long sign : 1; | ||
62 | unsigned long exp : _FP_EXPBITS_E; | ||
63 | unsigned long frac1 : _FP_W_TYPE_SIZE; | ||
64 | unsigned long frac0 : _FP_W_TYPE_SIZE; | ||
65 | #else | ||
66 | unsigned long frac0 : _FP_W_TYPE_SIZE; | ||
67 | unsigned long frac1 : _FP_W_TYPE_SIZE; | ||
68 | unsigned exp : _FP_EXPBITS_E; | ||
69 | unsigned sign : 1; | ||
70 | #endif /* not bigendian */ | ||
71 | } bits __attribute__((packed)); | ||
72 | }; | ||
73 | |||
74 | |||
75 | #define FP_DECL_E(X) _FP_DECL(4,X) | ||
76 | |||
77 | #define FP_UNPACK_RAW_E(X, val) \ | ||
78 | do { \ | ||
79 | union _FP_UNION_E _flo; _flo.flt = (val); \ | ||
80 | \ | ||
81 | X##_f[2] = 0; X##_f[3] = 0; \ | ||
82 | X##_f[0] = _flo.bits.frac0; \ | ||
83 | X##_f[1] = _flo.bits.frac1; \ | ||
84 | X##_e = _flo.bits.exp; \ | ||
85 | X##_s = _flo.bits.sign; \ | ||
86 | if (!X##_e && (X##_f[1] || X##_f[0]) \ | ||
87 | && !(X##_f[1] & _FP_IMPLBIT_E)) \ | ||
88 | { \ | ||
89 | X##_e++; \ | ||
90 | FP_SET_EXCEPTION(FP_EX_DENORM); \ | ||
91 | } \ | ||
92 | } while (0) | ||
93 | |||
94 | #define FP_UNPACK_RAW_EP(X, val) \ | ||
95 | do { \ | ||
96 | union _FP_UNION_E *_flo = \ | ||
97 | (union _FP_UNION_E *)(val); \ | ||
98 | \ | ||
99 | X##_f[2] = 0; X##_f[3] = 0; \ | ||
100 | X##_f[0] = _flo->bits.frac0; \ | ||
101 | X##_f[1] = _flo->bits.frac1; \ | ||
102 | X##_e = _flo->bits.exp; \ | ||
103 | X##_s = _flo->bits.sign; \ | ||
104 | if (!X##_e && (X##_f[1] || X##_f[0]) \ | ||
105 | && !(X##_f[1] & _FP_IMPLBIT_E)) \ | ||
106 | { \ | ||
107 | X##_e++; \ | ||
108 | FP_SET_EXCEPTION(FP_EX_DENORM); \ | ||
109 | } \ | ||
110 | } while (0) | ||
111 | |||
112 | #define FP_PACK_RAW_E(val, X) \ | ||
113 | do { \ | ||
114 | union _FP_UNION_E _flo; \ | ||
115 | \ | ||
116 | if (X##_e) X##_f[1] |= _FP_IMPLBIT_E; \ | ||
117 | else X##_f[1] &= ~(_FP_IMPLBIT_E); \ | ||
118 | _flo.bits.frac0 = X##_f[0]; \ | ||
119 | _flo.bits.frac1 = X##_f[1]; \ | ||
120 | _flo.bits.exp = X##_e; \ | ||
121 | _flo.bits.sign = X##_s; \ | ||
122 | \ | ||
123 | (val) = _flo.flt; \ | ||
124 | } while (0) | ||
125 | |||
126 | #define FP_PACK_RAW_EP(val, X) \ | ||
127 | do { \ | ||
128 | if (!FP_INHIBIT_RESULTS) \ | ||
129 | { \ | ||
130 | union _FP_UNION_E *_flo = \ | ||
131 | (union _FP_UNION_E *)(val); \ | ||
132 | \ | ||
133 | if (X##_e) X##_f[1] |= _FP_IMPLBIT_E; \ | ||
134 | else X##_f[1] &= ~(_FP_IMPLBIT_E); \ | ||
135 | _flo->bits.frac0 = X##_f[0]; \ | ||
136 | _flo->bits.frac1 = X##_f[1]; \ | ||
137 | _flo->bits.exp = X##_e; \ | ||
138 | _flo->bits.sign = X##_s; \ | ||
139 | } \ | ||
140 | } while (0) | ||
141 | |||
142 | #define FP_UNPACK_E(X,val) \ | ||
143 | do { \ | ||
144 | FP_UNPACK_RAW_E(X,val); \ | ||
145 | _FP_UNPACK_CANONICAL(E,4,X); \ | ||
146 | } while (0) | ||
147 | |||
148 | #define FP_UNPACK_EP(X,val) \ | ||
149 | do { \ | ||
150 | FP_UNPACK_RAW_2_P(X,val); \ | ||
151 | _FP_UNPACK_CANONICAL(E,4,X); \ | ||
152 | } while (0) | ||
153 | |||
154 | #define FP_PACK_E(val,X) \ | ||
155 | do { \ | ||
156 | _FP_PACK_CANONICAL(E,4,X); \ | ||
157 | FP_PACK_RAW_E(val,X); \ | ||
158 | } while (0) | ||
159 | |||
160 | #define FP_PACK_EP(val,X) \ | ||
161 | do { \ | ||
162 | _FP_PACK_CANONICAL(E,4,X); \ | ||
163 | FP_PACK_RAW_EP(val,X); \ | ||
164 | } while (0) | ||
165 | |||
166 | #define FP_ISSIGNAN_E(X) _FP_ISSIGNAN(E,4,X) | ||
167 | #define FP_NEG_E(R,X) _FP_NEG(E,4,R,X) | ||
168 | #define FP_ADD_E(R,X,Y) _FP_ADD(E,4,R,X,Y) | ||
169 | #define FP_SUB_E(R,X,Y) _FP_SUB(E,4,R,X,Y) | ||
170 | #define FP_MUL_E(R,X,Y) _FP_MUL(E,4,R,X,Y) | ||
171 | #define FP_DIV_E(R,X,Y) _FP_DIV(E,4,R,X,Y) | ||
172 | #define FP_SQRT_E(R,X) _FP_SQRT(E,4,R,X) | ||
173 | |||
174 | /* | ||
175 | * Square root algorithms: | ||
176 | * We have just one right now, maybe Newton approximation | ||
177 | * should be added for those machines where division is fast. | ||
178 | * This has special _E version because standard _4 square | ||
179 | * root would not work (it has to start normally with the | ||
180 | * second word and not the first), but as we have to do it | ||
181 | * anyway, we optimize it by doing most of the calculations | ||
182 | * in two UWtype registers instead of four. | ||
183 | */ | ||
184 | |||
185 | #define _FP_SQRT_MEAT_E(R, S, T, X, q) \ | ||
186 | do { \ | ||
187 | q = (_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE - 1); \ | ||
188 | _FP_FRAC_SRL_4(X, (_FP_WORKBITS)); \ | ||
189 | while (q) \ | ||
190 | { \ | ||
191 | T##_f[1] = S##_f[1] + q; \ | ||
192 | if (T##_f[1] <= X##_f[1]) \ | ||
193 | { \ | ||
194 | S##_f[1] = T##_f[1] + q; \ | ||
195 | X##_f[1] -= T##_f[1]; \ | ||
196 | R##_f[1] += q; \ | ||
197 | } \ | ||
198 | _FP_FRAC_SLL_2(X, 1); \ | ||
199 | q >>= 1; \ | ||
200 | } \ | ||
201 | q = (_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE - 1); \ | ||
202 | while (q) \ | ||
203 | { \ | ||
204 | T##_f[0] = S##_f[0] + q; \ | ||
205 | T##_f[1] = S##_f[1]; \ | ||
206 | if (T##_f[1] < X##_f[1] || \ | ||
207 | (T##_f[1] == X##_f[1] && \ | ||
208 | T##_f[0] <= X##_f[0])) \ | ||
209 | { \ | ||
210 | S##_f[0] = T##_f[0] + q; \ | ||
211 | S##_f[1] += (T##_f[0] > S##_f[0]); \ | ||
212 | _FP_FRAC_DEC_2(X, T); \ | ||
213 | R##_f[0] += q; \ | ||
214 | } \ | ||
215 | _FP_FRAC_SLL_2(X, 1); \ | ||
216 | q >>= 1; \ | ||
217 | } \ | ||
218 | _FP_FRAC_SLL_4(R, (_FP_WORKBITS)); \ | ||
219 | if (X##_f[0] | X##_f[1]) \ | ||
220 | { \ | ||
221 | if (S##_f[1] < X##_f[1] || \ | ||
222 | (S##_f[1] == X##_f[1] && \ | ||
223 | S##_f[0] < X##_f[0])) \ | ||
224 | R##_f[0] |= _FP_WORK_ROUND; \ | ||
225 | R##_f[0] |= _FP_WORK_STICKY; \ | ||
226 | } \ | ||
227 | } while (0) | ||
228 | |||
229 | #define FP_CMP_E(r,X,Y,un) _FP_CMP(E,4,r,X,Y,un) | ||
230 | #define FP_CMP_EQ_E(r,X,Y) _FP_CMP_EQ(E,4,r,X,Y) | ||
231 | |||
232 | #define FP_TO_INT_E(r,X,rsz,rsg) _FP_TO_INT(E,4,r,X,rsz,rsg) | ||
233 | #define FP_TO_INT_ROUND_E(r,X,rsz,rsg) _FP_TO_INT_ROUND(E,4,r,X,rsz,rsg) | ||
234 | #define FP_FROM_INT_E(X,r,rs,rt) _FP_FROM_INT(E,4,X,r,rs,rt) | ||
235 | |||
236 | #define _FP_FRAC_HIGH_E(X) (X##_f[2]) | ||
237 | #define _FP_FRAC_HIGH_RAW_E(X) (X##_f[1]) | ||
238 | |||
239 | #else /* not _FP_W_TYPE_SIZE < 64 */ | ||
240 | union _FP_UNION_E | ||
241 | { | ||
242 | long double flt /* __attribute__((mode(TF))) */ ; | ||
243 | struct { | ||
244 | #if __BYTE_ORDER == __BIG_ENDIAN | ||
245 | unsigned long pad : (_FP_W_TYPE_SIZE - 1 - _FP_EXPBITS_E); | ||
246 | unsigned sign : 1; | ||
247 | unsigned exp : _FP_EXPBITS_E; | ||
248 | unsigned long frac : _FP_W_TYPE_SIZE; | ||
249 | #else | ||
250 | unsigned long frac : _FP_W_TYPE_SIZE; | ||
251 | unsigned exp : _FP_EXPBITS_E; | ||
252 | unsigned sign : 1; | ||
253 | #endif | ||
254 | } bits; | ||
255 | }; | ||
256 | |||
257 | #define FP_DECL_E(X) _FP_DECL(2,X) | ||
258 | |||
259 | #define FP_UNPACK_RAW_E(X, val) \ | ||
260 | do { \ | ||
261 | union _FP_UNION_E _flo; _flo.flt = (val); \ | ||
262 | \ | ||
263 | X##_f0 = _flo.bits.frac; \ | ||
264 | X##_f1 = 0; \ | ||
265 | X##_e = _flo.bits.exp; \ | ||
266 | X##_s = _flo.bits.sign; \ | ||
267 | if (!X##_e && X##_f0 && !(X##_f0 & _FP_IMPLBIT_E)) \ | ||
268 | { \ | ||
269 | X##_e++; \ | ||
270 | FP_SET_EXCEPTION(FP_EX_DENORM); \ | ||
271 | } \ | ||
272 | } while (0) | ||
273 | |||
274 | #define FP_UNPACK_RAW_EP(X, val) \ | ||
275 | do { \ | ||
276 | union _FP_UNION_E *_flo = \ | ||
277 | (union _FP_UNION_E *)(val); \ | ||
278 | \ | ||
279 | X##_f0 = _flo->bits.frac; \ | ||
280 | X##_f1 = 0; \ | ||
281 | X##_e = _flo->bits.exp; \ | ||
282 | X##_s = _flo->bits.sign; \ | ||
283 | if (!X##_e && X##_f0 && !(X##_f0 & _FP_IMPLBIT_E)) \ | ||
284 | { \ | ||
285 | X##_e++; \ | ||
286 | FP_SET_EXCEPTION(FP_EX_DENORM); \ | ||
287 | } \ | ||
288 | } while (0) | ||
289 | |||
290 | #define FP_PACK_RAW_E(val, X) \ | ||
291 | do { \ | ||
292 | union _FP_UNION_E _flo; \ | ||
293 | \ | ||
294 | if (X##_e) X##_f0 |= _FP_IMPLBIT_E; \ | ||
295 | else X##_f0 &= ~(_FP_IMPLBIT_E); \ | ||
296 | _flo.bits.frac = X##_f0; \ | ||
297 | _flo.bits.exp = X##_e; \ | ||
298 | _flo.bits.sign = X##_s; \ | ||
299 | \ | ||
300 | (val) = _flo.flt; \ | ||
301 | } while (0) | ||
302 | |||
303 | #define FP_PACK_RAW_EP(fs, val, X) \ | ||
304 | do { \ | ||
305 | if (!FP_INHIBIT_RESULTS) \ | ||
306 | { \ | ||
307 | union _FP_UNION_E *_flo = \ | ||
308 | (union _FP_UNION_E *)(val); \ | ||
309 | \ | ||
310 | if (X##_e) X##_f0 |= _FP_IMPLBIT_E; \ | ||
311 | else X##_f0 &= ~(_FP_IMPLBIT_E); \ | ||
312 | _flo->bits.frac = X##_f0; \ | ||
313 | _flo->bits.exp = X##_e; \ | ||
314 | _flo->bits.sign = X##_s; \ | ||
315 | } \ | ||
316 | } while (0) | ||
317 | |||
318 | |||
319 | #define FP_UNPACK_E(X,val) \ | ||
320 | do { \ | ||
321 | FP_UNPACK_RAW_E(X,val); \ | ||
322 | _FP_UNPACK_CANONICAL(E,2,X); \ | ||
323 | } while (0) | ||
324 | |||
325 | #define FP_UNPACK_EP(X,val) \ | ||
326 | do { \ | ||
327 | FP_UNPACK_RAW_EP(X,val); \ | ||
328 | _FP_UNPACK_CANONICAL(E,2,X); \ | ||
329 | } while (0) | ||
330 | |||
331 | #define FP_PACK_E(val,X) \ | ||
332 | do { \ | ||
333 | _FP_PACK_CANONICAL(E,2,X); \ | ||
334 | FP_PACK_RAW_E(val,X); \ | ||
335 | } while (0) | ||
336 | |||
337 | #define FP_PACK_EP(val,X) \ | ||
338 | do { \ | ||
339 | _FP_PACK_CANONICAL(E,2,X); \ | ||
340 | FP_PACK_RAW_EP(val,X); \ | ||
341 | } while (0) | ||
342 | |||
343 | #define FP_ISSIGNAN_E(X) _FP_ISSIGNAN(E,2,X) | ||
344 | #define FP_NEG_E(R,X) _FP_NEG(E,2,R,X) | ||
345 | #define FP_ADD_E(R,X,Y) _FP_ADD(E,2,R,X,Y) | ||
346 | #define FP_SUB_E(R,X,Y) _FP_SUB(E,2,R,X,Y) | ||
347 | #define FP_MUL_E(R,X,Y) _FP_MUL(E,2,R,X,Y) | ||
348 | #define FP_DIV_E(R,X,Y) _FP_DIV(E,2,R,X,Y) | ||
349 | #define FP_SQRT_E(R,X) _FP_SQRT(E,2,R,X) | ||
350 | |||
351 | /* | ||
352 | * Square root algorithms: | ||
353 | * We have just one right now, maybe Newton approximation | ||
354 | * should be added for those machines where division is fast. | ||
355 | * We optimize it by doing most of the calculations | ||
356 | * in one UWtype registers instead of two, although we don't | ||
357 | * have to. | ||
358 | */ | ||
359 | #define _FP_SQRT_MEAT_E(R, S, T, X, q) \ | ||
360 | do { \ | ||
361 | q = (_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE - 1); \ | ||
362 | _FP_FRAC_SRL_2(X, (_FP_WORKBITS)); \ | ||
363 | while (q) \ | ||
364 | { \ | ||
365 | T##_f0 = S##_f0 + q; \ | ||
366 | if (T##_f0 <= X##_f0) \ | ||
367 | { \ | ||
368 | S##_f0 = T##_f0 + q; \ | ||
369 | X##_f0 -= T##_f0; \ | ||
370 | R##_f0 += q; \ | ||
371 | } \ | ||
372 | _FP_FRAC_SLL_1(X, 1); \ | ||
373 | q >>= 1; \ | ||
374 | } \ | ||
375 | _FP_FRAC_SLL_2(R, (_FP_WORKBITS)); \ | ||
376 | if (X##_f0) \ | ||
377 | { \ | ||
378 | if (S##_f0 < X##_f0) \ | ||
379 | R##_f0 |= _FP_WORK_ROUND; \ | ||
380 | R##_f0 |= _FP_WORK_STICKY; \ | ||
381 | } \ | ||
382 | } while (0) | ||
383 | |||
384 | #define FP_CMP_E(r,X,Y,un) _FP_CMP(E,2,r,X,Y,un) | ||
385 | #define FP_CMP_EQ_E(r,X,Y) _FP_CMP_EQ(E,2,r,X,Y) | ||
386 | |||
387 | #define FP_TO_INT_E(r,X,rsz,rsg) _FP_TO_INT(E,2,r,X,rsz,rsg) | ||
388 | #define FP_TO_INT_ROUND_E(r,X,rsz,rsg) _FP_TO_INT_ROUND(E,2,r,X,rsz,rsg) | ||
389 | #define FP_FROM_INT_E(X,r,rs,rt) _FP_FROM_INT(E,2,X,r,rs,rt) | ||
390 | |||
391 | #define _FP_FRAC_HIGH_E(X) (X##_f1) | ||
392 | #define _FP_FRAC_HIGH_RAW_E(X) (X##_f0) | ||
393 | |||
394 | #endif /* not _FP_W_TYPE_SIZE < 64 */ | ||
395 | |||
396 | #endif /* __MATH_EMU_EXTENDED_H__ */ | ||
diff --git a/include/math-emu/op-1.h b/include/math-emu/op-1.h new file mode 100644 index 000000000000..3be3bb422cbe --- /dev/null +++ b/include/math-emu/op-1.h | |||
@@ -0,0 +1,303 @@ | |||
1 | /* Software floating-point emulation. | ||
2 | Basic one-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_1_H__ | ||
26 | #define __MATH_EMU_OP_1_H__ | ||
27 | |||
28 | #define _FP_FRAC_DECL_1(X) _FP_W_TYPE X##_f=0 | ||
29 | #define _FP_FRAC_COPY_1(D,S) (D##_f = S##_f) | ||
30 | #define _FP_FRAC_SET_1(X,I) (X##_f = I) | ||
31 | #define _FP_FRAC_HIGH_1(X) (X##_f) | ||
32 | #define _FP_FRAC_LOW_1(X) (X##_f) | ||
33 | #define _FP_FRAC_WORD_1(X,w) (X##_f) | ||
34 | |||
35 | #define _FP_FRAC_ADDI_1(X,I) (X##_f += I) | ||
36 | #define _FP_FRAC_SLL_1(X,N) \ | ||
37 | do { \ | ||
38 | if (__builtin_constant_p(N) && (N) == 1) \ | ||
39 | X##_f += X##_f; \ | ||
40 | else \ | ||
41 | X##_f <<= (N); \ | ||
42 | } while (0) | ||
43 | #define _FP_FRAC_SRL_1(X,N) (X##_f >>= N) | ||
44 | |||
45 | /* Right shift with sticky-lsb. */ | ||
46 | #define _FP_FRAC_SRS_1(X,N,sz) __FP_FRAC_SRS_1(X##_f, N, sz) | ||
47 | |||
48 | #define __FP_FRAC_SRS_1(X,N,sz) \ | ||
49 | (X = (X >> (N) | (__builtin_constant_p(N) && (N) == 1 \ | ||
50 | ? X & 1 : (X << (_FP_W_TYPE_SIZE - (N))) != 0))) | ||
51 | |||
52 | #define _FP_FRAC_ADD_1(R,X,Y) (R##_f = X##_f + Y##_f) | ||
53 | #define _FP_FRAC_SUB_1(R,X,Y) (R##_f = X##_f - Y##_f) | ||
54 | #define _FP_FRAC_DEC_1(X,Y) (X##_f -= Y##_f) | ||
55 | #define _FP_FRAC_CLZ_1(z, X) __FP_CLZ(z, X##_f) | ||
56 | |||
57 | /* Predicates */ | ||
58 | #define _FP_FRAC_NEGP_1(X) ((_FP_WS_TYPE)X##_f < 0) | ||
59 | #define _FP_FRAC_ZEROP_1(X) (X##_f == 0) | ||
60 | #define _FP_FRAC_OVERP_1(fs,X) (X##_f & _FP_OVERFLOW_##fs) | ||
61 | #define _FP_FRAC_CLEAR_OVERP_1(fs,X) (X##_f &= ~_FP_OVERFLOW_##fs) | ||
62 | #define _FP_FRAC_EQ_1(X, Y) (X##_f == Y##_f) | ||
63 | #define _FP_FRAC_GE_1(X, Y) (X##_f >= Y##_f) | ||
64 | #define _FP_FRAC_GT_1(X, Y) (X##_f > Y##_f) | ||
65 | |||
66 | #define _FP_ZEROFRAC_1 0 | ||
67 | #define _FP_MINFRAC_1 1 | ||
68 | #define _FP_MAXFRAC_1 (~(_FP_WS_TYPE)0) | ||
69 | |||
70 | /* | ||
71 | * Unpack the raw bits of a native fp value. Do not classify or | ||
72 | * normalize the data. | ||
73 | */ | ||
74 | |||
75 | #define _FP_UNPACK_RAW_1(fs, X, val) \ | ||
76 | do { \ | ||
77 | union _FP_UNION_##fs _flo; _flo.flt = (val); \ | ||
78 | \ | ||
79 | X##_f = _flo.bits.frac; \ | ||
80 | X##_e = _flo.bits.exp; \ | ||
81 | X##_s = _flo.bits.sign; \ | ||
82 | } while (0) | ||
83 | |||
84 | #define _FP_UNPACK_RAW_1_P(fs, X, val) \ | ||
85 | do { \ | ||
86 | union _FP_UNION_##fs *_flo = \ | ||
87 | (union _FP_UNION_##fs *)(val); \ | ||
88 | \ | ||
89 | X##_f = _flo->bits.frac; \ | ||
90 | X##_e = _flo->bits.exp; \ | ||
91 | X##_s = _flo->bits.sign; \ | ||
92 | } while (0) | ||
93 | |||
94 | /* | ||
95 | * Repack the raw bits of a native fp value. | ||
96 | */ | ||
97 | |||
98 | #define _FP_PACK_RAW_1(fs, val, X) \ | ||
99 | do { \ | ||
100 | union _FP_UNION_##fs _flo; \ | ||
101 | \ | ||
102 | _flo.bits.frac = X##_f; \ | ||
103 | _flo.bits.exp = X##_e; \ | ||
104 | _flo.bits.sign = X##_s; \ | ||
105 | \ | ||
106 | (val) = _flo.flt; \ | ||
107 | } while (0) | ||
108 | |||
109 | #define _FP_PACK_RAW_1_P(fs, val, X) \ | ||
110 | do { \ | ||
111 | union _FP_UNION_##fs *_flo = \ | ||
112 | (union _FP_UNION_##fs *)(val); \ | ||
113 | \ | ||
114 | _flo->bits.frac = X##_f; \ | ||
115 | _flo->bits.exp = X##_e; \ | ||
116 | _flo->bits.sign = X##_s; \ | ||
117 | } while (0) | ||
118 | |||
119 | |||
120 | /* | ||
121 | * Multiplication algorithms: | ||
122 | */ | ||
123 | |||
124 | /* Basic. Assuming the host word size is >= 2*FRACBITS, we can do the | ||
125 | multiplication immediately. */ | ||
126 | |||
127 | #define _FP_MUL_MEAT_1_imm(wfracbits, R, X, Y) \ | ||
128 | do { \ | ||
129 | R##_f = X##_f * Y##_f; \ | ||
130 | /* Normalize since we know where the msb of the multiplicands \ | ||
131 | were (bit B), we know that the msb of the of the product is \ | ||
132 | at either 2B or 2B-1. */ \ | ||
133 | _FP_FRAC_SRS_1(R, wfracbits-1, 2*wfracbits); \ | ||
134 | } while (0) | ||
135 | |||
136 | /* Given a 1W * 1W => 2W primitive, do the extended multiplication. */ | ||
137 | |||
138 | #define _FP_MUL_MEAT_1_wide(wfracbits, R, X, Y, doit) \ | ||
139 | do { \ | ||
140 | _FP_W_TYPE _Z_f0, _Z_f1; \ | ||
141 | doit(_Z_f1, _Z_f0, X##_f, Y##_f); \ | ||
142 | /* Normalize since we know where the msb of the multiplicands \ | ||
143 | were (bit B), we know that the msb of the of the product is \ | ||
144 | at either 2B or 2B-1. */ \ | ||
145 | _FP_FRAC_SRS_2(_Z, wfracbits-1, 2*wfracbits); \ | ||
146 | R##_f = _Z_f0; \ | ||
147 | } while (0) | ||
148 | |||
149 | /* Finally, a simple widening multiply algorithm. What fun! */ | ||
150 | |||
151 | #define _FP_MUL_MEAT_1_hard(wfracbits, R, X, Y) \ | ||
152 | do { \ | ||
153 | _FP_W_TYPE _xh, _xl, _yh, _yl, _z_f0, _z_f1, _a_f0, _a_f1; \ | ||
154 | \ | ||
155 | /* split the words in half */ \ | ||
156 | _xh = X##_f >> (_FP_W_TYPE_SIZE/2); \ | ||
157 | _xl = X##_f & (((_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE/2)) - 1); \ | ||
158 | _yh = Y##_f >> (_FP_W_TYPE_SIZE/2); \ | ||
159 | _yl = Y##_f & (((_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE/2)) - 1); \ | ||
160 | \ | ||
161 | /* multiply the pieces */ \ | ||
162 | _z_f0 = _xl * _yl; \ | ||
163 | _a_f0 = _xh * _yl; \ | ||
164 | _a_f1 = _xl * _yh; \ | ||
165 | _z_f1 = _xh * _yh; \ | ||
166 | \ | ||
167 | /* reassemble into two full words */ \ | ||
168 | if ((_a_f0 += _a_f1) < _a_f1) \ | ||
169 | _z_f1 += (_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE/2); \ | ||
170 | _a_f1 = _a_f0 >> (_FP_W_TYPE_SIZE/2); \ | ||
171 | _a_f0 = _a_f0 << (_FP_W_TYPE_SIZE/2); \ | ||
172 | _FP_FRAC_ADD_2(_z, _z, _a); \ | ||
173 | \ | ||
174 | /* normalize */ \ | ||
175 | _FP_FRAC_SRS_2(_z, wfracbits - 1, 2*wfracbits); \ | ||
176 | R##_f = _z_f0; \ | ||
177 | } while (0) | ||
178 | |||
179 | |||
180 | /* | ||
181 | * Division algorithms: | ||
182 | */ | ||
183 | |||
184 | /* Basic. Assuming the host word size is >= 2*FRACBITS, we can do the | ||
185 | division immediately. Give this macro either _FP_DIV_HELP_imm for | ||
186 | C primitives or _FP_DIV_HELP_ldiv for the ISO function. Which you | ||
187 | choose will depend on what the compiler does with divrem4. */ | ||
188 | |||
189 | #define _FP_DIV_MEAT_1_imm(fs, R, X, Y, doit) \ | ||
190 | do { \ | ||
191 | _FP_W_TYPE _q, _r; \ | ||
192 | X##_f <<= (X##_f < Y##_f \ | ||
193 | ? R##_e--, _FP_WFRACBITS_##fs \ | ||
194 | : _FP_WFRACBITS_##fs - 1); \ | ||
195 | doit(_q, _r, X##_f, Y##_f); \ | ||
196 | R##_f = _q | (_r != 0); \ | ||
197 | } while (0) | ||
198 | |||
199 | /* GCC's longlong.h defines a 2W / 1W => (1W,1W) primitive udiv_qrnnd | ||
200 | that may be useful in this situation. This first is for a primitive | ||
201 | that requires normalization, the second for one that does not. Look | ||
202 | for UDIV_NEEDS_NORMALIZATION to tell which your machine needs. */ | ||
203 | |||
204 | #define _FP_DIV_MEAT_1_udiv_norm(fs, R, X, Y) \ | ||
205 | do { \ | ||
206 | _FP_W_TYPE _nh, _nl, _q, _r, _y; \ | ||
207 | \ | ||
208 | /* Normalize Y -- i.e. make the most significant bit set. */ \ | ||
209 | _y = Y##_f << _FP_WFRACXBITS_##fs; \ | ||
210 | \ | ||
211 | /* Shift X op correspondingly high, that is, up one full word. */ \ | ||
212 | if (X##_f < Y##_f) \ | ||
213 | { \ | ||
214 | R##_e--; \ | ||
215 | _nl = 0; \ | ||
216 | _nh = X##_f; \ | ||
217 | } \ | ||
218 | else \ | ||
219 | { \ | ||
220 | _nl = X##_f << (_FP_W_TYPE_SIZE - 1); \ | ||
221 | _nh = X##_f >> 1; \ | ||
222 | } \ | ||
223 | \ | ||
224 | udiv_qrnnd(_q, _r, _nh, _nl, _y); \ | ||
225 | R##_f = _q | (_r != 0); \ | ||
226 | } while (0) | ||
227 | |||
228 | #define _FP_DIV_MEAT_1_udiv(fs, R, X, Y) \ | ||
229 | do { \ | ||
230 | _FP_W_TYPE _nh, _nl, _q, _r; \ | ||
231 | if (X##_f < Y##_f) \ | ||
232 | { \ | ||
233 | R##_e--; \ | ||
234 | _nl = X##_f << _FP_WFRACBITS_##fs; \ | ||
235 | _nh = X##_f >> _FP_WFRACXBITS_##fs; \ | ||
236 | } \ | ||
237 | else \ | ||
238 | { \ | ||
239 | _nl = X##_f << (_FP_WFRACBITS_##fs - 1); \ | ||
240 | _nh = X##_f >> (_FP_WFRACXBITS_##fs + 1); \ | ||
241 | } \ | ||
242 | udiv_qrnnd(_q, _r, _nh, _nl, Y##_f); \ | ||
243 | R##_f = _q | (_r != 0); \ | ||
244 | } while (0) | ||
245 | |||
246 | |||
247 | /* | ||
248 | * Square root algorithms: | ||
249 | * We have just one right now, maybe Newton approximation | ||
250 | * should be added for those machines where division is fast. | ||
251 | */ | ||
252 | |||
253 | #define _FP_SQRT_MEAT_1(R, S, T, X, q) \ | ||
254 | do { \ | ||
255 | while (q != _FP_WORK_ROUND) \ | ||
256 | { \ | ||
257 | T##_f = S##_f + q; \ | ||
258 | if (T##_f <= X##_f) \ | ||
259 | { \ | ||
260 | S##_f = T##_f + q; \ | ||
261 | X##_f -= T##_f; \ | ||
262 | R##_f += q; \ | ||
263 | } \ | ||
264 | _FP_FRAC_SLL_1(X, 1); \ | ||
265 | q >>= 1; \ | ||
266 | } \ | ||
267 | if (X##_f) \ | ||
268 | { \ | ||
269 | if (S##_f < X##_f) \ | ||
270 | R##_f |= _FP_WORK_ROUND; \ | ||
271 | R##_f |= _FP_WORK_STICKY; \ | ||
272 | } \ | ||
273 | } while (0) | ||
274 | |||
275 | /* | ||
276 | * Assembly/disassembly for converting to/from integral types. | ||
277 | * No shifting or overflow handled here. | ||
278 | */ | ||
279 | |||
280 | #define _FP_FRAC_ASSEMBLE_1(r, X, rsize) (r = X##_f) | ||
281 | #define _FP_FRAC_DISASSEMBLE_1(X, r, rsize) (X##_f = r) | ||
282 | |||
283 | |||
284 | /* | ||
285 | * Convert FP values between word sizes | ||
286 | */ | ||
287 | |||
288 | #define _FP_FRAC_CONV_1_1(dfs, sfs, D, S) \ | ||
289 | do { \ | ||
290 | D##_f = S##_f; \ | ||
291 | if (_FP_WFRACBITS_##sfs > _FP_WFRACBITS_##dfs) \ | ||
292 | { \ | ||
293 | if (S##_c != FP_CLS_NAN) \ | ||
294 | _FP_FRAC_SRS_1(D, (_FP_WFRACBITS_##sfs-_FP_WFRACBITS_##dfs), \ | ||
295 | _FP_WFRACBITS_##sfs); \ | ||
296 | else \ | ||
297 | _FP_FRAC_SRL_1(D, (_FP_WFRACBITS_##sfs-_FP_WFRACBITS_##dfs)); \ | ||
298 | } \ | ||
299 | else \ | ||
300 | D##_f <<= _FP_WFRACBITS_##dfs - _FP_WFRACBITS_##sfs; \ | ||
301 | } while (0) | ||
302 | |||
303 | #endif /* __MATH_EMU_OP_1_H__ */ | ||
diff --git a/include/math-emu/op-2.h b/include/math-emu/op-2.h new file mode 100644 index 000000000000..e193fb08fd55 --- /dev/null +++ b/include/math-emu/op-2.h | |||
@@ -0,0 +1,613 @@ | |||
1 | /* Software floating-point emulation. | ||
2 | Basic two-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_2_H__ | ||
26 | #define __MATH_EMU_OP_2_H__ | ||
27 | |||
28 | #define _FP_FRAC_DECL_2(X) _FP_W_TYPE X##_f0, X##_f1 | ||
29 | #define _FP_FRAC_COPY_2(D,S) (D##_f0 = S##_f0, D##_f1 = S##_f1) | ||
30 | #define _FP_FRAC_SET_2(X,I) __FP_FRAC_SET_2(X, I) | ||
31 | #define _FP_FRAC_HIGH_2(X) (X##_f1) | ||
32 | #define _FP_FRAC_LOW_2(X) (X##_f0) | ||
33 | #define _FP_FRAC_WORD_2(X,w) (X##_f##w) | ||
34 | |||
35 | #define _FP_FRAC_SLL_2(X,N) \ | ||
36 | do { \ | ||
37 | if ((N) < _FP_W_TYPE_SIZE) \ | ||
38 | { \ | ||
39 | if (__builtin_constant_p(N) && (N) == 1) \ | ||
40 | { \ | ||
41 | X##_f1 = X##_f1 + X##_f1 + (((_FP_WS_TYPE)(X##_f0)) < 0); \ | ||
42 | X##_f0 += X##_f0; \ | ||
43 | } \ | ||
44 | else \ | ||
45 | { \ | ||
46 | X##_f1 = X##_f1 << (N) | X##_f0 >> (_FP_W_TYPE_SIZE - (N)); \ | ||
47 | X##_f0 <<= (N); \ | ||
48 | } \ | ||
49 | } \ | ||
50 | else \ | ||
51 | { \ | ||
52 | X##_f1 = X##_f0 << ((N) - _FP_W_TYPE_SIZE); \ | ||
53 | X##_f0 = 0; \ | ||
54 | } \ | ||
55 | } while (0) | ||
56 | |||
57 | #define _FP_FRAC_SRL_2(X,N) \ | ||
58 | do { \ | ||
59 | if ((N) < _FP_W_TYPE_SIZE) \ | ||
60 | { \ | ||
61 | X##_f0 = X##_f0 >> (N) | X##_f1 << (_FP_W_TYPE_SIZE - (N)); \ | ||
62 | X##_f1 >>= (N); \ | ||
63 | } \ | ||
64 | else \ | ||
65 | { \ | ||
66 | X##_f0 = X##_f1 >> ((N) - _FP_W_TYPE_SIZE); \ | ||
67 | X##_f1 = 0; \ | ||
68 | } \ | ||
69 | } while (0) | ||
70 | |||
71 | /* Right shift with sticky-lsb. */ | ||
72 | #define _FP_FRAC_SRS_2(X,N,sz) \ | ||
73 | do { \ | ||
74 | if ((N) < _FP_W_TYPE_SIZE) \ | ||
75 | { \ | ||
76 | X##_f0 = (X##_f1 << (_FP_W_TYPE_SIZE - (N)) | X##_f0 >> (N) | \ | ||
77 | (__builtin_constant_p(N) && (N) == 1 \ | ||
78 | ? X##_f0 & 1 \ | ||
79 | : (X##_f0 << (_FP_W_TYPE_SIZE - (N))) != 0)); \ | ||
80 | X##_f1 >>= (N); \ | ||
81 | } \ | ||
82 | else \ | ||
83 | { \ | ||
84 | X##_f0 = (X##_f1 >> ((N) - _FP_W_TYPE_SIZE) | \ | ||
85 | (((X##_f1 << (2*_FP_W_TYPE_SIZE - (N))) | X##_f0) != 0)); \ | ||
86 | X##_f1 = 0; \ | ||
87 | } \ | ||
88 | } while (0) | ||
89 | |||
90 | #define _FP_FRAC_ADDI_2(X,I) \ | ||
91 | __FP_FRAC_ADDI_2(X##_f1, X##_f0, I) | ||
92 | |||
93 | #define _FP_FRAC_ADD_2(R,X,Y) \ | ||
94 | __FP_FRAC_ADD_2(R##_f1, R##_f0, X##_f1, X##_f0, Y##_f1, Y##_f0) | ||
95 | |||
96 | #define _FP_FRAC_SUB_2(R,X,Y) \ | ||
97 | __FP_FRAC_SUB_2(R##_f1, R##_f0, X##_f1, X##_f0, Y##_f1, Y##_f0) | ||
98 | |||
99 | #define _FP_FRAC_DEC_2(X,Y) \ | ||
100 | __FP_FRAC_DEC_2(X##_f1, X##_f0, Y##_f1, Y##_f0) | ||
101 | |||
102 | #define _FP_FRAC_CLZ_2(R,X) \ | ||
103 | do { \ | ||
104 | if (X##_f1) \ | ||
105 | __FP_CLZ(R,X##_f1); \ | ||
106 | else \ | ||
107 | { \ | ||
108 | __FP_CLZ(R,X##_f0); \ | ||
109 | R += _FP_W_TYPE_SIZE; \ | ||
110 | } \ | ||
111 | } while(0) | ||
112 | |||
113 | /* Predicates */ | ||
114 | #define _FP_FRAC_NEGP_2(X) ((_FP_WS_TYPE)X##_f1 < 0) | ||
115 | #define _FP_FRAC_ZEROP_2(X) ((X##_f1 | X##_f0) == 0) | ||
116 | #define _FP_FRAC_OVERP_2(fs,X) (_FP_FRAC_HIGH_##fs(X) & _FP_OVERFLOW_##fs) | ||
117 | #define _FP_FRAC_CLEAR_OVERP_2(fs,X) (_FP_FRAC_HIGH_##fs(X) &= ~_FP_OVERFLOW_##fs) | ||
118 | #define _FP_FRAC_EQ_2(X, Y) (X##_f1 == Y##_f1 && X##_f0 == Y##_f0) | ||
119 | #define _FP_FRAC_GT_2(X, Y) \ | ||
120 | (X##_f1 > Y##_f1 || (X##_f1 == Y##_f1 && X##_f0 > Y##_f0)) | ||
121 | #define _FP_FRAC_GE_2(X, Y) \ | ||
122 | (X##_f1 > Y##_f1 || (X##_f1 == Y##_f1 && X##_f0 >= Y##_f0)) | ||
123 | |||
124 | #define _FP_ZEROFRAC_2 0, 0 | ||
125 | #define _FP_MINFRAC_2 0, 1 | ||
126 | #define _FP_MAXFRAC_2 (~(_FP_WS_TYPE)0), (~(_FP_WS_TYPE)0) | ||
127 | |||
128 | /* | ||
129 | * Internals | ||
130 | */ | ||
131 | |||
132 | #define __FP_FRAC_SET_2(X,I1,I0) (X##_f0 = I0, X##_f1 = I1) | ||
133 | |||
134 | #define __FP_CLZ_2(R, xh, xl) \ | ||
135 | do { \ | ||
136 | if (xh) \ | ||
137 | __FP_CLZ(R,xh); \ | ||
138 | else \ | ||
139 | { \ | ||
140 | __FP_CLZ(R,xl); \ | ||
141 | R += _FP_W_TYPE_SIZE; \ | ||
142 | } \ | ||
143 | } while(0) | ||
144 | |||
145 | #if 0 | ||
146 | |||
147 | #ifndef __FP_FRAC_ADDI_2 | ||
148 | #define __FP_FRAC_ADDI_2(xh, xl, i) \ | ||
149 | (xh += ((xl += i) < i)) | ||
150 | #endif | ||
151 | #ifndef __FP_FRAC_ADD_2 | ||
152 | #define __FP_FRAC_ADD_2(rh, rl, xh, xl, yh, yl) \ | ||
153 | (rh = xh + yh + ((rl = xl + yl) < xl)) | ||
154 | #endif | ||
155 | #ifndef __FP_FRAC_SUB_2 | ||
156 | #define __FP_FRAC_SUB_2(rh, rl, xh, xl, yh, yl) \ | ||
157 | (rh = xh - yh - ((rl = xl - yl) > xl)) | ||
158 | #endif | ||
159 | #ifndef __FP_FRAC_DEC_2 | ||
160 | #define __FP_FRAC_DEC_2(xh, xl, yh, yl) \ | ||
161 | do { \ | ||
162 | UWtype _t = xl; \ | ||
163 | xh -= yh + ((xl -= yl) > _t); \ | ||
164 | } while (0) | ||
165 | #endif | ||
166 | |||
167 | #else | ||
168 | |||
169 | #undef __FP_FRAC_ADDI_2 | ||
170 | #define __FP_FRAC_ADDI_2(xh, xl, i) add_ssaaaa(xh, xl, xh, xl, 0, i) | ||
171 | #undef __FP_FRAC_ADD_2 | ||
172 | #define __FP_FRAC_ADD_2 add_ssaaaa | ||
173 | #undef __FP_FRAC_SUB_2 | ||
174 | #define __FP_FRAC_SUB_2 sub_ddmmss | ||
175 | #undef __FP_FRAC_DEC_2 | ||
176 | #define __FP_FRAC_DEC_2(xh, xl, yh, yl) sub_ddmmss(xh, xl, xh, xl, yh, yl) | ||
177 | |||
178 | #endif | ||
179 | |||
180 | /* | ||
181 | * Unpack the raw bits of a native fp value. Do not classify or | ||
182 | * normalize the data. | ||
183 | */ | ||
184 | |||
185 | #define _FP_UNPACK_RAW_2(fs, X, val) \ | ||
186 | do { \ | ||
187 | union _FP_UNION_##fs _flo; _flo.flt = (val); \ | ||
188 | \ | ||
189 | X##_f0 = _flo.bits.frac0; \ | ||
190 | X##_f1 = _flo.bits.frac1; \ | ||
191 | X##_e = _flo.bits.exp; \ | ||
192 | X##_s = _flo.bits.sign; \ | ||
193 | } while (0) | ||
194 | |||
195 | #define _FP_UNPACK_RAW_2_P(fs, X, val) \ | ||
196 | do { \ | ||
197 | union _FP_UNION_##fs *_flo = \ | ||
198 | (union _FP_UNION_##fs *)(val); \ | ||
199 | \ | ||
200 | X##_f0 = _flo->bits.frac0; \ | ||
201 | X##_f1 = _flo->bits.frac1; \ | ||
202 | X##_e = _flo->bits.exp; \ | ||
203 | X##_s = _flo->bits.sign; \ | ||
204 | } while (0) | ||
205 | |||
206 | |||
207 | /* | ||
208 | * Repack the raw bits of a native fp value. | ||
209 | */ | ||
210 | |||
211 | #define _FP_PACK_RAW_2(fs, val, X) \ | ||
212 | do { \ | ||
213 | union _FP_UNION_##fs _flo; \ | ||
214 | \ | ||
215 | _flo.bits.frac0 = X##_f0; \ | ||
216 | _flo.bits.frac1 = X##_f1; \ | ||
217 | _flo.bits.exp = X##_e; \ | ||
218 | _flo.bits.sign = X##_s; \ | ||
219 | \ | ||
220 | (val) = _flo.flt; \ | ||
221 | } while (0) | ||
222 | |||
223 | #define _FP_PACK_RAW_2_P(fs, val, X) \ | ||
224 | do { \ | ||
225 | union _FP_UNION_##fs *_flo = \ | ||
226 | (union _FP_UNION_##fs *)(val); \ | ||
227 | \ | ||
228 | _flo->bits.frac0 = X##_f0; \ | ||
229 | _flo->bits.frac1 = X##_f1; \ | ||
230 | _flo->bits.exp = X##_e; \ | ||
231 | _flo->bits.sign = X##_s; \ | ||
232 | } while (0) | ||
233 | |||
234 | |||
235 | /* | ||
236 | * Multiplication algorithms: | ||
237 | */ | ||
238 | |||
239 | /* Given a 1W * 1W => 2W primitive, do the extended multiplication. */ | ||
240 | |||
241 | #define _FP_MUL_MEAT_2_wide(wfracbits, R, X, Y, doit) \ | ||
242 | do { \ | ||
243 | _FP_FRAC_DECL_4(_z); _FP_FRAC_DECL_2(_b); _FP_FRAC_DECL_2(_c); \ | ||
244 | \ | ||
245 | doit(_FP_FRAC_WORD_4(_z,1), _FP_FRAC_WORD_4(_z,0), X##_f0, Y##_f0); \ | ||
246 | doit(_b_f1, _b_f0, X##_f0, Y##_f1); \ | ||
247 | doit(_c_f1, _c_f0, X##_f1, Y##_f0); \ | ||
248 | doit(_FP_FRAC_WORD_4(_z,3), _FP_FRAC_WORD_4(_z,2), X##_f1, Y##_f1); \ | ||
249 | \ | ||
250 | __FP_FRAC_ADD_3(_FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \ | ||
251 | _FP_FRAC_WORD_4(_z,1), 0, _b_f1, _b_f0, \ | ||
252 | _FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \ | ||
253 | _FP_FRAC_WORD_4(_z,1)); \ | ||
254 | __FP_FRAC_ADD_3(_FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \ | ||
255 | _FP_FRAC_WORD_4(_z,1), 0, _c_f1, _c_f0, \ | ||
256 | _FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \ | ||
257 | _FP_FRAC_WORD_4(_z,1)); \ | ||
258 | \ | ||
259 | /* Normalize since we know where the msb of the multiplicands \ | ||
260 | were (bit B), we know that the msb of the of the product is \ | ||
261 | at either 2B or 2B-1. */ \ | ||
262 | _FP_FRAC_SRS_4(_z, wfracbits-1, 2*wfracbits); \ | ||
263 | R##_f0 = _FP_FRAC_WORD_4(_z,0); \ | ||
264 | R##_f1 = _FP_FRAC_WORD_4(_z,1); \ | ||
265 | } while (0) | ||
266 | |||
267 | /* Given a 1W * 1W => 2W primitive, do the extended multiplication. | ||
268 | Do only 3 multiplications instead of four. This one is for machines | ||
269 | where multiplication is much more expensive than subtraction. */ | ||
270 | |||
271 | #define _FP_MUL_MEAT_2_wide_3mul(wfracbits, R, X, Y, doit) \ | ||
272 | do { \ | ||
273 | _FP_FRAC_DECL_4(_z); _FP_FRAC_DECL_2(_b); _FP_FRAC_DECL_2(_c); \ | ||
274 | _FP_W_TYPE _d; \ | ||
275 | int _c1, _c2; \ | ||
276 | \ | ||
277 | _b_f0 = X##_f0 + X##_f1; \ | ||
278 | _c1 = _b_f0 < X##_f0; \ | ||
279 | _b_f1 = Y##_f0 + Y##_f1; \ | ||
280 | _c2 = _b_f1 < Y##_f0; \ | ||
281 | doit(_d, _FP_FRAC_WORD_4(_z,0), X##_f0, Y##_f0); \ | ||
282 | doit(_FP_FRAC_WORD_4(_z,2), _FP_FRAC_WORD_4(_z,1), _b_f0, _b_f1); \ | ||
283 | doit(_c_f1, _c_f0, X##_f1, Y##_f1); \ | ||
284 | \ | ||
285 | _b_f0 &= -_c2; \ | ||
286 | _b_f1 &= -_c1; \ | ||
287 | __FP_FRAC_ADD_3(_FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \ | ||
288 | _FP_FRAC_WORD_4(_z,1), (_c1 & _c2), 0, _d, \ | ||
289 | 0, _FP_FRAC_WORD_4(_z,2), _FP_FRAC_WORD_4(_z,1)); \ | ||
290 | __FP_FRAC_ADDI_2(_FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \ | ||
291 | _b_f0); \ | ||
292 | __FP_FRAC_ADDI_2(_FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \ | ||
293 | _b_f1); \ | ||
294 | __FP_FRAC_DEC_3(_FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \ | ||
295 | _FP_FRAC_WORD_4(_z,1), \ | ||
296 | 0, _d, _FP_FRAC_WORD_4(_z,0)); \ | ||
297 | __FP_FRAC_DEC_3(_FP_FRAC_WORD_4(_z,3),_FP_FRAC_WORD_4(_z,2), \ | ||
298 | _FP_FRAC_WORD_4(_z,1), 0, _c_f1, _c_f0); \ | ||
299 | __FP_FRAC_ADD_2(_FP_FRAC_WORD_4(_z,3), _FP_FRAC_WORD_4(_z,2), \ | ||
300 | _c_f1, _c_f0, \ | ||
301 | _FP_FRAC_WORD_4(_z,3), _FP_FRAC_WORD_4(_z,2)); \ | ||
302 | \ | ||
303 | /* Normalize since we know where the msb of the multiplicands \ | ||
304 | were (bit B), we know that the msb of the of the product is \ | ||
305 | at either 2B or 2B-1. */ \ | ||
306 | _FP_FRAC_SRS_4(_z, wfracbits-1, 2*wfracbits); \ | ||
307 | R##_f0 = _FP_FRAC_WORD_4(_z,0); \ | ||
308 | R##_f1 = _FP_FRAC_WORD_4(_z,1); \ | ||
309 | } while (0) | ||
310 | |||
311 | #define _FP_MUL_MEAT_2_gmp(wfracbits, R, X, Y) \ | ||
312 | do { \ | ||
313 | _FP_FRAC_DECL_4(_z); \ | ||
314 | _FP_W_TYPE _x[2], _y[2]; \ | ||
315 | _x[0] = X##_f0; _x[1] = X##_f1; \ | ||
316 | _y[0] = Y##_f0; _y[1] = Y##_f1; \ | ||
317 | \ | ||
318 | mpn_mul_n(_z_f, _x, _y, 2); \ | ||
319 | \ | ||
320 | /* Normalize since we know where the msb of the multiplicands \ | ||
321 | were (bit B), we know that the msb of the of the product is \ | ||
322 | at either 2B or 2B-1. */ \ | ||
323 | _FP_FRAC_SRS_4(_z, wfracbits-1, 2*wfracbits); \ | ||
324 | R##_f0 = _z_f[0]; \ | ||
325 | R##_f1 = _z_f[1]; \ | ||
326 | } while (0) | ||
327 | |||
328 | /* Do at most 120x120=240 bits multiplication using double floating | ||
329 | point multiplication. This is useful if floating point | ||
330 | multiplication has much bigger throughput than integer multiply. | ||
331 | It is supposed to work for _FP_W_TYPE_SIZE 64 and wfracbits | ||
332 | between 106 and 120 only. | ||
333 | Caller guarantees that X and Y has (1LLL << (wfracbits - 1)) set. | ||
334 | SETFETZ is a macro which will disable all FPU exceptions and set rounding | ||
335 | towards zero, RESETFE should optionally reset it back. */ | ||
336 | |||
337 | #define _FP_MUL_MEAT_2_120_240_double(wfracbits, R, X, Y, setfetz, resetfe) \ | ||
338 | do { \ | ||
339 | static const double _const[] = { \ | ||
340 | /* 2^-24 */ 5.9604644775390625e-08, \ | ||
341 | /* 2^-48 */ 3.5527136788005009e-15, \ | ||
342 | /* 2^-72 */ 2.1175823681357508e-22, \ | ||
343 | /* 2^-96 */ 1.2621774483536189e-29, \ | ||
344 | /* 2^28 */ 2.68435456e+08, \ | ||
345 | /* 2^4 */ 1.600000e+01, \ | ||
346 | /* 2^-20 */ 9.5367431640625e-07, \ | ||
347 | /* 2^-44 */ 5.6843418860808015e-14, \ | ||
348 | /* 2^-68 */ 3.3881317890172014e-21, \ | ||
349 | /* 2^-92 */ 2.0194839173657902e-28, \ | ||
350 | /* 2^-116 */ 1.2037062152420224e-35}; \ | ||
351 | double _a240, _b240, _c240, _d240, _e240, _f240, \ | ||
352 | _g240, _h240, _i240, _j240, _k240; \ | ||
353 | union { double d; UDItype i; } _l240, _m240, _n240, _o240, \ | ||
354 | _p240, _q240, _r240, _s240; \ | ||
355 | UDItype _t240, _u240, _v240, _w240, _x240, _y240 = 0; \ | ||
356 | \ | ||
357 | if (wfracbits < 106 || wfracbits > 120) \ | ||
358 | abort(); \ | ||
359 | \ | ||
360 | setfetz; \ | ||
361 | \ | ||
362 | _e240 = (double)(long)(X##_f0 & 0xffffff); \ | ||
363 | _j240 = (double)(long)(Y##_f0 & 0xffffff); \ | ||
364 | _d240 = (double)(long)((X##_f0 >> 24) & 0xffffff); \ | ||
365 | _i240 = (double)(long)((Y##_f0 >> 24) & 0xffffff); \ | ||
366 | _c240 = (double)(long)(((X##_f1 << 16) & 0xffffff) | (X##_f0 >> 48)); \ | ||
367 | _h240 = (double)(long)(((Y##_f1 << 16) & 0xffffff) | (Y##_f0 >> 48)); \ | ||
368 | _b240 = (double)(long)((X##_f1 >> 8) & 0xffffff); \ | ||
369 | _g240 = (double)(long)((Y##_f1 >> 8) & 0xffffff); \ | ||
370 | _a240 = (double)(long)(X##_f1 >> 32); \ | ||
371 | _f240 = (double)(long)(Y##_f1 >> 32); \ | ||
372 | _e240 *= _const[3]; \ | ||
373 | _j240 *= _const[3]; \ | ||
374 | _d240 *= _const[2]; \ | ||
375 | _i240 *= _const[2]; \ | ||
376 | _c240 *= _const[1]; \ | ||
377 | _h240 *= _const[1]; \ | ||
378 | _b240 *= _const[0]; \ | ||
379 | _g240 *= _const[0]; \ | ||
380 | _s240.d = _e240*_j240;\ | ||
381 | _r240.d = _d240*_j240 + _e240*_i240;\ | ||
382 | _q240.d = _c240*_j240 + _d240*_i240 + _e240*_h240;\ | ||
383 | _p240.d = _b240*_j240 + _c240*_i240 + _d240*_h240 + _e240*_g240;\ | ||
384 | _o240.d = _a240*_j240 + _b240*_i240 + _c240*_h240 + _d240*_g240 + _e240*_f240;\ | ||
385 | _n240.d = _a240*_i240 + _b240*_h240 + _c240*_g240 + _d240*_f240; \ | ||
386 | _m240.d = _a240*_h240 + _b240*_g240 + _c240*_f240; \ | ||
387 | _l240.d = _a240*_g240 + _b240*_f240; \ | ||
388 | _k240 = _a240*_f240; \ | ||
389 | _r240.d += _s240.d; \ | ||
390 | _q240.d += _r240.d; \ | ||
391 | _p240.d += _q240.d; \ | ||
392 | _o240.d += _p240.d; \ | ||
393 | _n240.d += _o240.d; \ | ||
394 | _m240.d += _n240.d; \ | ||
395 | _l240.d += _m240.d; \ | ||
396 | _k240 += _l240.d; \ | ||
397 | _s240.d -= ((_const[10]+_s240.d)-_const[10]); \ | ||
398 | _r240.d -= ((_const[9]+_r240.d)-_const[9]); \ | ||
399 | _q240.d -= ((_const[8]+_q240.d)-_const[8]); \ | ||
400 | _p240.d -= ((_const[7]+_p240.d)-_const[7]); \ | ||
401 | _o240.d += _const[7]; \ | ||
402 | _n240.d += _const[6]; \ | ||
403 | _m240.d += _const[5]; \ | ||
404 | _l240.d += _const[4]; \ | ||
405 | if (_s240.d != 0.0) _y240 = 1; \ | ||
406 | if (_r240.d != 0.0) _y240 = 1; \ | ||
407 | if (_q240.d != 0.0) _y240 = 1; \ | ||
408 | if (_p240.d != 0.0) _y240 = 1; \ | ||
409 | _t240 = (DItype)_k240; \ | ||
410 | _u240 = _l240.i; \ | ||
411 | _v240 = _m240.i; \ | ||
412 | _w240 = _n240.i; \ | ||
413 | _x240 = _o240.i; \ | ||
414 | R##_f1 = (_t240 << (128 - (wfracbits - 1))) \ | ||
415 | | ((_u240 & 0xffffff) >> ((wfracbits - 1) - 104)); \ | ||
416 | R##_f0 = ((_u240 & 0xffffff) << (168 - (wfracbits - 1))) \ | ||
417 | | ((_v240 & 0xffffff) << (144 - (wfracbits - 1))) \ | ||
418 | | ((_w240 & 0xffffff) << (120 - (wfracbits - 1))) \ | ||
419 | | ((_x240 & 0xffffff) >> ((wfracbits - 1) - 96)) \ | ||
420 | | _y240; \ | ||
421 | resetfe; \ | ||
422 | } while (0) | ||
423 | |||
424 | /* | ||
425 | * Division algorithms: | ||
426 | */ | ||
427 | |||
428 | #define _FP_DIV_MEAT_2_udiv(fs, R, X, Y) \ | ||
429 | do { \ | ||
430 | _FP_W_TYPE _n_f2, _n_f1, _n_f0, _r_f1, _r_f0, _m_f1, _m_f0; \ | ||
431 | if (_FP_FRAC_GT_2(X, Y)) \ | ||
432 | { \ | ||
433 | _n_f2 = X##_f1 >> 1; \ | ||
434 | _n_f1 = X##_f1 << (_FP_W_TYPE_SIZE - 1) | X##_f0 >> 1; \ | ||
435 | _n_f0 = X##_f0 << (_FP_W_TYPE_SIZE - 1); \ | ||
436 | } \ | ||
437 | else \ | ||
438 | { \ | ||
439 | R##_e--; \ | ||
440 | _n_f2 = X##_f1; \ | ||
441 | _n_f1 = X##_f0; \ | ||
442 | _n_f0 = 0; \ | ||
443 | } \ | ||
444 | \ | ||
445 | /* Normalize, i.e. make the most significant bit of the \ | ||
446 | denominator set. */ \ | ||
447 | _FP_FRAC_SLL_2(Y, _FP_WFRACXBITS_##fs); \ | ||
448 | \ | ||
449 | udiv_qrnnd(R##_f1, _r_f1, _n_f2, _n_f1, Y##_f1); \ | ||
450 | umul_ppmm(_m_f1, _m_f0, R##_f1, Y##_f0); \ | ||
451 | _r_f0 = _n_f0; \ | ||
452 | if (_FP_FRAC_GT_2(_m, _r)) \ | ||
453 | { \ | ||
454 | R##_f1--; \ | ||
455 | _FP_FRAC_ADD_2(_r, Y, _r); \ | ||
456 | if (_FP_FRAC_GE_2(_r, Y) && _FP_FRAC_GT_2(_m, _r)) \ | ||
457 | { \ | ||
458 | R##_f1--; \ | ||
459 | _FP_FRAC_ADD_2(_r, Y, _r); \ | ||
460 | } \ | ||
461 | } \ | ||
462 | _FP_FRAC_DEC_2(_r, _m); \ | ||
463 | \ | ||
464 | if (_r_f1 == Y##_f1) \ | ||
465 | { \ | ||
466 | /* This is a special case, not an optimization \ | ||
467 | (_r/Y##_f1 would not fit into UWtype). \ | ||
468 | As _r is guaranteed to be < Y, R##_f0 can be either \ | ||
469 | (UWtype)-1 or (UWtype)-2. But as we know what kind \ | ||
470 | of bits it is (sticky, guard, round), we don't care. \ | ||
471 | We also don't care what the reminder is, because the \ | ||
472 | guard bit will be set anyway. -jj */ \ | ||
473 | R##_f0 = -1; \ | ||
474 | } \ | ||
475 | else \ | ||
476 | { \ | ||
477 | udiv_qrnnd(R##_f0, _r_f1, _r_f1, _r_f0, Y##_f1); \ | ||
478 | umul_ppmm(_m_f1, _m_f0, R##_f0, Y##_f0); \ | ||
479 | _r_f0 = 0; \ | ||
480 | if (_FP_FRAC_GT_2(_m, _r)) \ | ||
481 | { \ | ||
482 | R##_f0--; \ | ||
483 | _FP_FRAC_ADD_2(_r, Y, _r); \ | ||
484 | if (_FP_FRAC_GE_2(_r, Y) && _FP_FRAC_GT_2(_m, _r)) \ | ||
485 | { \ | ||
486 | R##_f0--; \ | ||
487 | _FP_FRAC_ADD_2(_r, Y, _r); \ | ||
488 | } \ | ||
489 | } \ | ||
490 | if (!_FP_FRAC_EQ_2(_r, _m)) \ | ||
491 | R##_f0 |= _FP_WORK_STICKY; \ | ||
492 | } \ | ||
493 | } while (0) | ||
494 | |||
495 | |||
496 | #define _FP_DIV_MEAT_2_gmp(fs, R, X, Y) \ | ||
497 | do { \ | ||
498 | _FP_W_TYPE _x[4], _y[2], _z[4]; \ | ||
499 | _y[0] = Y##_f0; _y[1] = Y##_f1; \ | ||
500 | _x[0] = _x[3] = 0; \ | ||
501 | if (_FP_FRAC_GT_2(X, Y)) \ | ||
502 | { \ | ||
503 | R##_e++; \ | ||
504 | _x[1] = (X##_f0 << (_FP_WFRACBITS_##fs-1 - _FP_W_TYPE_SIZE) | \ | ||
505 | X##_f1 >> (_FP_W_TYPE_SIZE - \ | ||
506 | (_FP_WFRACBITS_##fs-1 - _FP_W_TYPE_SIZE))); \ | ||
507 | _x[2] = X##_f1 << (_FP_WFRACBITS_##fs-1 - _FP_W_TYPE_SIZE); \ | ||
508 | } \ | ||
509 | else \ | ||
510 | { \ | ||
511 | _x[1] = (X##_f0 << (_FP_WFRACBITS_##fs - _FP_W_TYPE_SIZE) | \ | ||
512 | X##_f1 >> (_FP_W_TYPE_SIZE - \ | ||
513 | (_FP_WFRACBITS_##fs - _FP_W_TYPE_SIZE))); \ | ||
514 | _x[2] = X##_f1 << (_FP_WFRACBITS_##fs - _FP_W_TYPE_SIZE); \ | ||
515 | } \ | ||
516 | \ | ||
517 | (void) mpn_divrem (_z, 0, _x, 4, _y, 2); \ | ||
518 | R##_f1 = _z[1]; \ | ||
519 | R##_f0 = _z[0] | ((_x[0] | _x[1]) != 0); \ | ||
520 | } while (0) | ||
521 | |||
522 | |||
523 | /* | ||
524 | * Square root algorithms: | ||
525 | * We have just one right now, maybe Newton approximation | ||
526 | * should be added for those machines where division is fast. | ||
527 | */ | ||
528 | |||
529 | #define _FP_SQRT_MEAT_2(R, S, T, X, q) \ | ||
530 | do { \ | ||
531 | while (q) \ | ||
532 | { \ | ||
533 | T##_f1 = S##_f1 + q; \ | ||
534 | if (T##_f1 <= X##_f1) \ | ||
535 | { \ | ||
536 | S##_f1 = T##_f1 + q; \ | ||
537 | X##_f1 -= T##_f1; \ | ||
538 | R##_f1 += q; \ | ||
539 | } \ | ||
540 | _FP_FRAC_SLL_2(X, 1); \ | ||
541 | q >>= 1; \ | ||
542 | } \ | ||
543 | q = (_FP_W_TYPE)1 << (_FP_W_TYPE_SIZE - 1); \ | ||
544 | while (q != _FP_WORK_ROUND) \ | ||
545 | { \ | ||
546 | T##_f0 = S##_f0 + q; \ | ||
547 | T##_f1 = S##_f1; \ | ||
548 | if (T##_f1 < X##_f1 || \ | ||
549 | (T##_f1 == X##_f1 && T##_f0 <= X##_f0)) \ | ||
550 | { \ | ||
551 | S##_f0 = T##_f0 + q; \ | ||
552 | S##_f1 += (T##_f0 > S##_f0); \ | ||
553 | _FP_FRAC_DEC_2(X, T); \ | ||
554 | R##_f0 += q; \ | ||
555 | } \ | ||
556 | _FP_FRAC_SLL_2(X, 1); \ | ||
557 | q >>= 1; \ | ||
558 | } \ | ||
559 | if (X##_f0 | X##_f1) \ | ||
560 | { \ | ||
561 | if (S##_f1 < X##_f1 || \ | ||
562 | (S##_f1 == X##_f1 && S##_f0 < X##_f0)) \ | ||
563 | R##_f0 |= _FP_WORK_ROUND; \ | ||
564 | R##_f0 |= _FP_WORK_STICKY; \ | ||
565 | } \ | ||
566 | } while (0) | ||
567 | |||
568 | |||
569 | /* | ||
570 | * Assembly/disassembly for converting to/from integral types. | ||
571 | * No shifting or overflow handled here. | ||
572 | */ | ||
573 | |||
574 | #define _FP_FRAC_ASSEMBLE_2(r, X, rsize) \ | ||
575 | do { \ | ||
576 | if (rsize <= _FP_W_TYPE_SIZE) \ | ||
577 | r = X##_f0; \ | ||
578 | else \ | ||
579 | { \ | ||
580 | r = X##_f1; \ | ||
581 | r <<= _FP_W_TYPE_SIZE; \ | ||
582 | r += X##_f0; \ | ||
583 | } \ | ||
584 | } while (0) | ||
585 | |||
586 | #define _FP_FRAC_DISASSEMBLE_2(X, r, rsize) \ | ||
587 | do { \ | ||
588 | X##_f0 = r; \ | ||
589 | X##_f1 = (rsize <= _FP_W_TYPE_SIZE ? 0 : r >> _FP_W_TYPE_SIZE); \ | ||
590 | } while (0) | ||
591 | |||
592 | /* | ||
593 | * Convert FP values between word sizes | ||
594 | */ | ||
595 | |||
596 | #define _FP_FRAC_CONV_1_2(dfs, sfs, D, S) \ | ||
597 | do { \ | ||
598 | if (S##_c != FP_CLS_NAN) \ | ||
599 | _FP_FRAC_SRS_2(S, (_FP_WFRACBITS_##sfs - _FP_WFRACBITS_##dfs), \ | ||
600 | _FP_WFRACBITS_##sfs); \ | ||
601 | else \ | ||
602 | _FP_FRAC_SRL_2(S, (_FP_WFRACBITS_##sfs - _FP_WFRACBITS_##dfs)); \ | ||
603 | D##_f = S##_f0; \ | ||
604 | } while (0) | ||
605 | |||
606 | #define _FP_FRAC_CONV_2_1(dfs, sfs, D, S) \ | ||
607 | do { \ | ||
608 | D##_f0 = S##_f; \ | ||
609 | D##_f1 = 0; \ | ||
610 | _FP_FRAC_SLL_2(D, (_FP_WFRACBITS_##dfs - _FP_WFRACBITS_##sfs)); \ | ||
611 | } while (0) | ||
612 | |||
613 | #endif | ||
diff --git a/include/math-emu/op-4.h b/include/math-emu/op-4.h new file mode 100644 index 000000000000..ba226f8237a6 --- /dev/null +++ b/include/math-emu/op-4.h | |||
@@ -0,0 +1,692 @@ | |||
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 | ||
diff --git a/include/math-emu/op-8.h b/include/math-emu/op-8.h new file mode 100644 index 000000000000..8b8c05eb8283 --- /dev/null +++ b/include/math-emu/op-8.h | |||
@@ -0,0 +1,107 @@ | |||
1 | /* Software floating-point emulation. | ||
2 | Basic eight-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) and | ||
7 | Peter Maydell (pmaydell@chiark.greenend.org.uk). | ||
8 | |||
9 | The GNU C Library is free software; you can redistribute it and/or | ||
10 | modify it under the terms of the GNU Library General Public License as | ||
11 | published by the Free Software Foundation; either version 2 of the | ||
12 | License, or (at your option) any later version. | ||
13 | |||
14 | The GNU C Library is distributed in the hope that it will be useful, | ||
15 | but WITHOUT ANY WARRANTY; without even the implied warranty of | ||
16 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | ||
17 | Library General Public License for more details. | ||
18 | |||
19 | You should have received a copy of the GNU Library General Public | ||
20 | License along with the GNU C Library; see the file COPYING.LIB. If | ||
21 | not, write to the Free Software Foundation, Inc., | ||
22 | 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. */ | ||
23 | |||
24 | #ifndef __MATH_EMU_OP_8_H__ | ||
25 | #define __MATH_EMU_OP_8_H__ | ||
26 | |||
27 | /* We need just a few things from here for op-4, if we ever need some | ||
28 | other macros, they can be added. */ | ||
29 | #define _FP_FRAC_DECL_8(X) _FP_W_TYPE X##_f[8] | ||
30 | #define _FP_FRAC_HIGH_8(X) (X##_f[7]) | ||
31 | #define _FP_FRAC_LOW_8(X) (X##_f[0]) | ||
32 | #define _FP_FRAC_WORD_8(X,w) (X##_f[w]) | ||
33 | |||
34 | #define _FP_FRAC_SLL_8(X,N) \ | ||
35 | do { \ | ||
36 | _FP_I_TYPE _up, _down, _skip, _i; \ | ||
37 | _skip = (N) / _FP_W_TYPE_SIZE; \ | ||
38 | _up = (N) % _FP_W_TYPE_SIZE; \ | ||
39 | _down = _FP_W_TYPE_SIZE - _up; \ | ||
40 | if (!_up) \ | ||
41 | for (_i = 7; _i >= _skip; --_i) \ | ||
42 | X##_f[_i] = X##_f[_i-_skip]; \ | ||
43 | else \ | ||
44 | { \ | ||
45 | for (_i = 7; _i > _skip; --_i) \ | ||
46 | X##_f[_i] = X##_f[_i-_skip] << _up \ | ||
47 | | X##_f[_i-_skip-1] >> _down; \ | ||
48 | X##_f[_i--] = X##_f[0] << _up; \ | ||
49 | } \ | ||
50 | for (; _i >= 0; --_i) \ | ||
51 | X##_f[_i] = 0; \ | ||
52 | } while (0) | ||
53 | |||
54 | #define _FP_FRAC_SRL_8(X,N) \ | ||
55 | do { \ | ||
56 | _FP_I_TYPE _up, _down, _skip, _i; \ | ||
57 | _skip = (N) / _FP_W_TYPE_SIZE; \ | ||
58 | _down = (N) % _FP_W_TYPE_SIZE; \ | ||
59 | _up = _FP_W_TYPE_SIZE - _down; \ | ||
60 | if (!_down) \ | ||
61 | for (_i = 0; _i <= 7-_skip; ++_i) \ | ||
62 | X##_f[_i] = X##_f[_i+_skip]; \ | ||
63 | else \ | ||
64 | { \ | ||
65 | for (_i = 0; _i < 7-_skip; ++_i) \ | ||
66 | X##_f[_i] = X##_f[_i+_skip] >> _down \ | ||
67 | | X##_f[_i+_skip+1] << _up; \ | ||
68 | X##_f[_i++] = X##_f[7] >> _down; \ | ||
69 | } \ | ||
70 | for (; _i < 8; ++_i) \ | ||
71 | X##_f[_i] = 0; \ | ||
72 | } while (0) | ||
73 | |||
74 | |||
75 | /* Right shift with sticky-lsb. | ||
76 | * What this actually means is that we do a standard right-shift, | ||
77 | * but that if any of the bits that fall off the right hand side | ||
78 | * were one then we always set the LSbit. | ||
79 | */ | ||
80 | #define _FP_FRAC_SRS_8(X,N,size) \ | ||
81 | do { \ | ||
82 | _FP_I_TYPE _up, _down, _skip, _i; \ | ||
83 | _FP_W_TYPE _s; \ | ||
84 | _skip = (N) / _FP_W_TYPE_SIZE; \ | ||
85 | _down = (N) % _FP_W_TYPE_SIZE; \ | ||
86 | _up = _FP_W_TYPE_SIZE - _down; \ | ||
87 | for (_s = _i = 0; _i < _skip; ++_i) \ | ||
88 | _s |= X##_f[_i]; \ | ||
89 | _s |= X##_f[_i] << _up; \ | ||
90 | /* s is now != 0 if we want to set the LSbit */ \ | ||
91 | if (!_down) \ | ||
92 | for (_i = 0; _i <= 7-_skip; ++_i) \ | ||
93 | X##_f[_i] = X##_f[_i+_skip]; \ | ||
94 | else \ | ||
95 | { \ | ||
96 | for (_i = 0; _i < 7-_skip; ++_i) \ | ||
97 | X##_f[_i] = X##_f[_i+_skip] >> _down \ | ||
98 | | X##_f[_i+_skip+1] << _up; \ | ||
99 | X##_f[_i++] = X##_f[7] >> _down; \ | ||
100 | } \ | ||
101 | for (; _i < 8; ++_i) \ | ||
102 | X##_f[_i] = 0; \ | ||
103 | /* don't fix the LSB until the very end when we're sure f[0] is stable */ \ | ||
104 | X##_f[0] |= (_s != 0); \ | ||
105 | } while (0) | ||
106 | |||
107 | #endif | ||
diff --git a/include/math-emu/op-common.h b/include/math-emu/op-common.h new file mode 100644 index 000000000000..93780abd01bc --- /dev/null +++ b/include/math-emu/op-common.h | |||
@@ -0,0 +1,853 @@ | |||
1 | /* Software floating-point emulation. Common operations. | ||
2 | Copyright (C) 1997,1998,1999 Free Software Foundation, Inc. | ||
3 | This file is part of the GNU C Library. | ||
4 | Contributed by Richard Henderson (rth@cygnus.com), | ||
5 | Jakub Jelinek (jj@ultra.linux.cz), | ||
6 | David S. Miller (davem@redhat.com) and | ||
7 | Peter Maydell (pmaydell@chiark.greenend.org.uk). | ||
8 | |||
9 | The GNU C Library is free software; you can redistribute it and/or | ||
10 | modify it under the terms of the GNU Library General Public License as | ||
11 | published by the Free Software Foundation; either version 2 of the | ||
12 | License, or (at your option) any later version. | ||
13 | |||
14 | The GNU C Library is distributed in the hope that it will be useful, | ||
15 | but WITHOUT ANY WARRANTY; without even the implied warranty of | ||
16 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | ||
17 | Library General Public License for more details. | ||
18 | |||
19 | You should have received a copy of the GNU Library General Public | ||
20 | License along with the GNU C Library; see the file COPYING.LIB. If | ||
21 | not, write to the Free Software Foundation, Inc., | ||
22 | 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. */ | ||
23 | |||
24 | #ifndef __MATH_EMU_OP_COMMON_H__ | ||
25 | #define __MATH_EMU_OP_COMMON_H__ | ||
26 | |||
27 | #define _FP_DECL(wc, X) \ | ||
28 | _FP_I_TYPE X##_c=0, X##_s=0, X##_e=0; \ | ||
29 | _FP_FRAC_DECL_##wc(X) | ||
30 | |||
31 | /* | ||
32 | * Finish truely unpacking a native fp value by classifying the kind | ||
33 | * of fp value and normalizing both the exponent and the fraction. | ||
34 | */ | ||
35 | |||
36 | #define _FP_UNPACK_CANONICAL(fs, wc, X) \ | ||
37 | do { \ | ||
38 | switch (X##_e) \ | ||
39 | { \ | ||
40 | default: \ | ||
41 | _FP_FRAC_HIGH_RAW_##fs(X) |= _FP_IMPLBIT_##fs; \ | ||
42 | _FP_FRAC_SLL_##wc(X, _FP_WORKBITS); \ | ||
43 | X##_e -= _FP_EXPBIAS_##fs; \ | ||
44 | X##_c = FP_CLS_NORMAL; \ | ||
45 | break; \ | ||
46 | \ | ||
47 | case 0: \ | ||
48 | if (_FP_FRAC_ZEROP_##wc(X)) \ | ||
49 | X##_c = FP_CLS_ZERO; \ | ||
50 | else \ | ||
51 | { \ | ||
52 | /* a denormalized number */ \ | ||
53 | _FP_I_TYPE _shift; \ | ||
54 | _FP_FRAC_CLZ_##wc(_shift, X); \ | ||
55 | _shift -= _FP_FRACXBITS_##fs; \ | ||
56 | _FP_FRAC_SLL_##wc(X, (_shift+_FP_WORKBITS)); \ | ||
57 | X##_e -= _FP_EXPBIAS_##fs - 1 + _shift; \ | ||
58 | X##_c = FP_CLS_NORMAL; \ | ||
59 | FP_SET_EXCEPTION(FP_EX_DENORM); \ | ||
60 | if (FP_DENORM_ZERO) \ | ||
61 | { \ | ||
62 | FP_SET_EXCEPTION(FP_EX_INEXACT); \ | ||
63 | X##_c = FP_CLS_ZERO; \ | ||
64 | } \ | ||
65 | } \ | ||
66 | break; \ | ||
67 | \ | ||
68 | case _FP_EXPMAX_##fs: \ | ||
69 | if (_FP_FRAC_ZEROP_##wc(X)) \ | ||
70 | X##_c = FP_CLS_INF; \ | ||
71 | else \ | ||
72 | { \ | ||
73 | X##_c = FP_CLS_NAN; \ | ||
74 | /* Check for signaling NaN */ \ | ||
75 | if (!(_FP_FRAC_HIGH_RAW_##fs(X) & _FP_QNANBIT_##fs)) \ | ||
76 | FP_SET_EXCEPTION(FP_EX_INVALID); \ | ||
77 | } \ | ||
78 | break; \ | ||
79 | } \ | ||
80 | } while (0) | ||
81 | |||
82 | /* | ||
83 | * Before packing the bits back into the native fp result, take care | ||
84 | * of such mundane things as rounding and overflow. Also, for some | ||
85 | * kinds of fp values, the original parts may not have been fully | ||
86 | * extracted -- but that is ok, we can regenerate them now. | ||
87 | */ | ||
88 | |||
89 | #define _FP_PACK_CANONICAL(fs, wc, X) \ | ||
90 | do { \ | ||
91 | switch (X##_c) \ | ||
92 | { \ | ||
93 | case FP_CLS_NORMAL: \ | ||
94 | X##_e += _FP_EXPBIAS_##fs; \ | ||
95 | if (X##_e > 0) \ | ||
96 | { \ | ||
97 | _FP_ROUND(wc, X); \ | ||
98 | if (_FP_FRAC_OVERP_##wc(fs, X)) \ | ||
99 | { \ | ||
100 | _FP_FRAC_CLEAR_OVERP_##wc(fs, X); \ | ||
101 | X##_e++; \ | ||
102 | } \ | ||
103 | _FP_FRAC_SRL_##wc(X, _FP_WORKBITS); \ | ||
104 | if (X##_e >= _FP_EXPMAX_##fs) \ | ||
105 | { \ | ||
106 | /* overflow */ \ | ||
107 | switch (FP_ROUNDMODE) \ | ||
108 | { \ | ||
109 | case FP_RND_NEAREST: \ | ||
110 | X##_c = FP_CLS_INF; \ | ||
111 | break; \ | ||
112 | case FP_RND_PINF: \ | ||
113 | if (!X##_s) X##_c = FP_CLS_INF; \ | ||
114 | break; \ | ||
115 | case FP_RND_MINF: \ | ||
116 | if (X##_s) X##_c = FP_CLS_INF; \ | ||
117 | break; \ | ||
118 | } \ | ||
119 | if (X##_c == FP_CLS_INF) \ | ||
120 | { \ | ||
121 | /* Overflow to infinity */ \ | ||
122 | X##_e = _FP_EXPMAX_##fs; \ | ||
123 | _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc); \ | ||
124 | } \ | ||
125 | else \ | ||
126 | { \ | ||
127 | /* Overflow to maximum normal */ \ | ||
128 | X##_e = _FP_EXPMAX_##fs - 1; \ | ||
129 | _FP_FRAC_SET_##wc(X, _FP_MAXFRAC_##wc); \ | ||
130 | } \ | ||
131 | FP_SET_EXCEPTION(FP_EX_OVERFLOW); \ | ||
132 | FP_SET_EXCEPTION(FP_EX_INEXACT); \ | ||
133 | } \ | ||
134 | } \ | ||
135 | else \ | ||
136 | { \ | ||
137 | /* we've got a denormalized number */ \ | ||
138 | X##_e = -X##_e + 1; \ | ||
139 | if (X##_e <= _FP_WFRACBITS_##fs) \ | ||
140 | { \ | ||
141 | _FP_FRAC_SRS_##wc(X, X##_e, _FP_WFRACBITS_##fs); \ | ||
142 | _FP_ROUND(wc, X); \ | ||
143 | if (_FP_FRAC_HIGH_##fs(X) \ | ||
144 | & (_FP_OVERFLOW_##fs >> 1)) \ | ||
145 | { \ | ||
146 | X##_e = 1; \ | ||
147 | _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc); \ | ||
148 | } \ | ||
149 | else \ | ||
150 | { \ | ||
151 | X##_e = 0; \ | ||
152 | _FP_FRAC_SRL_##wc(X, _FP_WORKBITS); \ | ||
153 | FP_SET_EXCEPTION(FP_EX_UNDERFLOW); \ | ||
154 | } \ | ||
155 | } \ | ||
156 | else \ | ||
157 | { \ | ||
158 | /* underflow to zero */ \ | ||
159 | X##_e = 0; \ | ||
160 | if (!_FP_FRAC_ZEROP_##wc(X)) \ | ||
161 | { \ | ||
162 | _FP_FRAC_SET_##wc(X, _FP_MINFRAC_##wc); \ | ||
163 | _FP_ROUND(wc, X); \ | ||
164 | _FP_FRAC_LOW_##wc(X) >>= (_FP_WORKBITS); \ | ||
165 | } \ | ||
166 | FP_SET_EXCEPTION(FP_EX_UNDERFLOW); \ | ||
167 | } \ | ||
168 | } \ | ||
169 | break; \ | ||
170 | \ | ||
171 | case FP_CLS_ZERO: \ | ||
172 | X##_e = 0; \ | ||
173 | _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc); \ | ||
174 | break; \ | ||
175 | \ | ||
176 | case FP_CLS_INF: \ | ||
177 | X##_e = _FP_EXPMAX_##fs; \ | ||
178 | _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc); \ | ||
179 | break; \ | ||
180 | \ | ||
181 | case FP_CLS_NAN: \ | ||
182 | X##_e = _FP_EXPMAX_##fs; \ | ||
183 | if (!_FP_KEEPNANFRACP) \ | ||
184 | { \ | ||
185 | _FP_FRAC_SET_##wc(X, _FP_NANFRAC_##fs); \ | ||
186 | X##_s = _FP_NANSIGN_##fs; \ | ||
187 | } \ | ||
188 | else \ | ||
189 | _FP_FRAC_HIGH_RAW_##fs(X) |= _FP_QNANBIT_##fs; \ | ||
190 | break; \ | ||
191 | } \ | ||
192 | } while (0) | ||
193 | |||
194 | /* This one accepts raw argument and not cooked, returns | ||
195 | * 1 if X is a signaling NaN. | ||
196 | */ | ||
197 | #define _FP_ISSIGNAN(fs, wc, X) \ | ||
198 | ({ \ | ||
199 | int __ret = 0; \ | ||
200 | if (X##_e == _FP_EXPMAX_##fs) \ | ||
201 | { \ | ||
202 | if (!_FP_FRAC_ZEROP_##wc(X) \ | ||
203 | && !(_FP_FRAC_HIGH_RAW_##fs(X) & _FP_QNANBIT_##fs)) \ | ||
204 | __ret = 1; \ | ||
205 | } \ | ||
206 | __ret; \ | ||
207 | }) | ||
208 | |||
209 | |||
210 | |||
211 | |||
212 | |||
213 | /* | ||
214 | * Main addition routine. The input values should be cooked. | ||
215 | */ | ||
216 | |||
217 | #define _FP_ADD_INTERNAL(fs, wc, R, X, Y, OP) \ | ||
218 | do { \ | ||
219 | switch (_FP_CLS_COMBINE(X##_c, Y##_c)) \ | ||
220 | { \ | ||
221 | case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NORMAL): \ | ||
222 | { \ | ||
223 | /* shift the smaller number so that its exponent matches the larger */ \ | ||
224 | _FP_I_TYPE diff = X##_e - Y##_e; \ | ||
225 | \ | ||
226 | if (diff < 0) \ | ||
227 | { \ | ||
228 | diff = -diff; \ | ||
229 | if (diff <= _FP_WFRACBITS_##fs) \ | ||
230 | _FP_FRAC_SRS_##wc(X, diff, _FP_WFRACBITS_##fs); \ | ||
231 | else if (!_FP_FRAC_ZEROP_##wc(X)) \ | ||
232 | _FP_FRAC_SET_##wc(X, _FP_MINFRAC_##wc); \ | ||
233 | R##_e = Y##_e; \ | ||
234 | } \ | ||
235 | else \ | ||
236 | { \ | ||
237 | if (diff > 0) \ | ||
238 | { \ | ||
239 | if (diff <= _FP_WFRACBITS_##fs) \ | ||
240 | _FP_FRAC_SRS_##wc(Y, diff, _FP_WFRACBITS_##fs); \ | ||
241 | else if (!_FP_FRAC_ZEROP_##wc(Y)) \ | ||
242 | _FP_FRAC_SET_##wc(Y, _FP_MINFRAC_##wc); \ | ||
243 | } \ | ||
244 | R##_e = X##_e; \ | ||
245 | } \ | ||
246 | \ | ||
247 | R##_c = FP_CLS_NORMAL; \ | ||
248 | \ | ||
249 | if (X##_s == Y##_s) \ | ||
250 | { \ | ||
251 | R##_s = X##_s; \ | ||
252 | _FP_FRAC_ADD_##wc(R, X, Y); \ | ||
253 | if (_FP_FRAC_OVERP_##wc(fs, R)) \ | ||
254 | { \ | ||
255 | _FP_FRAC_SRS_##wc(R, 1, _FP_WFRACBITS_##fs); \ | ||
256 | R##_e++; \ | ||
257 | } \ | ||
258 | } \ | ||
259 | else \ | ||
260 | { \ | ||
261 | R##_s = X##_s; \ | ||
262 | _FP_FRAC_SUB_##wc(R, X, Y); \ | ||
263 | if (_FP_FRAC_ZEROP_##wc(R)) \ | ||
264 | { \ | ||
265 | /* return an exact zero */ \ | ||
266 | if (FP_ROUNDMODE == FP_RND_MINF) \ | ||
267 | R##_s |= Y##_s; \ | ||
268 | else \ | ||
269 | R##_s &= Y##_s; \ | ||
270 | R##_c = FP_CLS_ZERO; \ | ||
271 | } \ | ||
272 | else \ | ||
273 | { \ | ||
274 | if (_FP_FRAC_NEGP_##wc(R)) \ | ||
275 | { \ | ||
276 | _FP_FRAC_SUB_##wc(R, Y, X); \ | ||
277 | R##_s = Y##_s; \ | ||
278 | } \ | ||
279 | \ | ||
280 | /* renormalize after subtraction */ \ | ||
281 | _FP_FRAC_CLZ_##wc(diff, R); \ | ||
282 | diff -= _FP_WFRACXBITS_##fs; \ | ||
283 | if (diff) \ | ||
284 | { \ | ||
285 | R##_e -= diff; \ | ||
286 | _FP_FRAC_SLL_##wc(R, diff); \ | ||
287 | } \ | ||
288 | } \ | ||
289 | } \ | ||
290 | break; \ | ||
291 | } \ | ||
292 | \ | ||
293 | case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NAN): \ | ||
294 | _FP_CHOOSENAN(fs, wc, R, X, Y, OP); \ | ||
295 | break; \ | ||
296 | \ | ||
297 | case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_ZERO): \ | ||
298 | R##_e = X##_e; \ | ||
299 | case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NORMAL): \ | ||
300 | case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_INF): \ | ||
301 | case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_ZERO): \ | ||
302 | _FP_FRAC_COPY_##wc(R, X); \ | ||
303 | R##_s = X##_s; \ | ||
304 | R##_c = X##_c; \ | ||
305 | break; \ | ||
306 | \ | ||
307 | case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NORMAL): \ | ||
308 | R##_e = Y##_e; \ | ||
309 | case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NAN): \ | ||
310 | case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NAN): \ | ||
311 | case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NAN): \ | ||
312 | _FP_FRAC_COPY_##wc(R, Y); \ | ||
313 | R##_s = Y##_s; \ | ||
314 | R##_c = Y##_c; \ | ||
315 | break; \ | ||
316 | \ | ||
317 | case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_INF): \ | ||
318 | if (X##_s != Y##_s) \ | ||
319 | { \ | ||
320 | /* +INF + -INF => NAN */ \ | ||
321 | _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs); \ | ||
322 | R##_s = _FP_NANSIGN_##fs; \ | ||
323 | R##_c = FP_CLS_NAN; \ | ||
324 | FP_SET_EXCEPTION(FP_EX_INVALID); \ | ||
325 | break; \ | ||
326 | } \ | ||
327 | /* FALLTHRU */ \ | ||
328 | \ | ||
329 | case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NORMAL): \ | ||
330 | case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_ZERO): \ | ||
331 | R##_s = X##_s; \ | ||
332 | R##_c = FP_CLS_INF; \ | ||
333 | break; \ | ||
334 | \ | ||
335 | case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_INF): \ | ||
336 | case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_INF): \ | ||
337 | R##_s = Y##_s; \ | ||
338 | R##_c = FP_CLS_INF; \ | ||
339 | break; \ | ||
340 | \ | ||
341 | case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_ZERO): \ | ||
342 | /* make sure the sign is correct */ \ | ||
343 | if (FP_ROUNDMODE == FP_RND_MINF) \ | ||
344 | R##_s = X##_s | Y##_s; \ | ||
345 | else \ | ||
346 | R##_s = X##_s & Y##_s; \ | ||
347 | R##_c = FP_CLS_ZERO; \ | ||
348 | break; \ | ||
349 | \ | ||
350 | default: \ | ||
351 | abort(); \ | ||
352 | } \ | ||
353 | } while (0) | ||
354 | |||
355 | #define _FP_ADD(fs, wc, R, X, Y) _FP_ADD_INTERNAL(fs, wc, R, X, Y, '+') | ||
356 | #define _FP_SUB(fs, wc, R, X, Y) \ | ||
357 | do { \ | ||
358 | if (Y##_c != FP_CLS_NAN) Y##_s ^= 1; \ | ||
359 | _FP_ADD_INTERNAL(fs, wc, R, X, Y, '-'); \ | ||
360 | } while (0) | ||
361 | |||
362 | |||
363 | /* | ||
364 | * Main negation routine. FIXME -- when we care about setting exception | ||
365 | * bits reliably, this will not do. We should examine all of the fp classes. | ||
366 | */ | ||
367 | |||
368 | #define _FP_NEG(fs, wc, R, X) \ | ||
369 | do { \ | ||
370 | _FP_FRAC_COPY_##wc(R, X); \ | ||
371 | R##_c = X##_c; \ | ||
372 | R##_e = X##_e; \ | ||
373 | R##_s = 1 ^ X##_s; \ | ||
374 | } while (0) | ||
375 | |||
376 | |||
377 | /* | ||
378 | * Main multiplication routine. The input values should be cooked. | ||
379 | */ | ||
380 | |||
381 | #define _FP_MUL(fs, wc, R, X, Y) \ | ||
382 | do { \ | ||
383 | R##_s = X##_s ^ Y##_s; \ | ||
384 | switch (_FP_CLS_COMBINE(X##_c, Y##_c)) \ | ||
385 | { \ | ||
386 | case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NORMAL): \ | ||
387 | R##_c = FP_CLS_NORMAL; \ | ||
388 | R##_e = X##_e + Y##_e + 1; \ | ||
389 | \ | ||
390 | _FP_MUL_MEAT_##fs(R,X,Y); \ | ||
391 | \ | ||
392 | if (_FP_FRAC_OVERP_##wc(fs, R)) \ | ||
393 | _FP_FRAC_SRS_##wc(R, 1, _FP_WFRACBITS_##fs); \ | ||
394 | else \ | ||
395 | R##_e--; \ | ||
396 | break; \ | ||
397 | \ | ||
398 | case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NAN): \ | ||
399 | _FP_CHOOSENAN(fs, wc, R, X, Y, '*'); \ | ||
400 | break; \ | ||
401 | \ | ||
402 | case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NORMAL): \ | ||
403 | case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_INF): \ | ||
404 | case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_ZERO): \ | ||
405 | R##_s = X##_s; \ | ||
406 | \ | ||
407 | case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_INF): \ | ||
408 | case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NORMAL): \ | ||
409 | case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NORMAL): \ | ||
410 | case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_ZERO): \ | ||
411 | _FP_FRAC_COPY_##wc(R, X); \ | ||
412 | R##_c = X##_c; \ | ||
413 | break; \ | ||
414 | \ | ||
415 | case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NAN): \ | ||
416 | case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NAN): \ | ||
417 | case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NAN): \ | ||
418 | R##_s = Y##_s; \ | ||
419 | \ | ||
420 | case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_INF): \ | ||
421 | case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_ZERO): \ | ||
422 | _FP_FRAC_COPY_##wc(R, Y); \ | ||
423 | R##_c = Y##_c; \ | ||
424 | break; \ | ||
425 | \ | ||
426 | case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_ZERO): \ | ||
427 | case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_INF): \ | ||
428 | R##_s = _FP_NANSIGN_##fs; \ | ||
429 | R##_c = FP_CLS_NAN; \ | ||
430 | _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs); \ | ||
431 | FP_SET_EXCEPTION(FP_EX_INVALID); \ | ||
432 | break; \ | ||
433 | \ | ||
434 | default: \ | ||
435 | abort(); \ | ||
436 | } \ | ||
437 | } while (0) | ||
438 | |||
439 | |||
440 | /* | ||
441 | * Main division routine. The input values should be cooked. | ||
442 | */ | ||
443 | |||
444 | #define _FP_DIV(fs, wc, R, X, Y) \ | ||
445 | do { \ | ||
446 | R##_s = X##_s ^ Y##_s; \ | ||
447 | switch (_FP_CLS_COMBINE(X##_c, Y##_c)) \ | ||
448 | { \ | ||
449 | case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NORMAL): \ | ||
450 | R##_c = FP_CLS_NORMAL; \ | ||
451 | R##_e = X##_e - Y##_e; \ | ||
452 | \ | ||
453 | _FP_DIV_MEAT_##fs(R,X,Y); \ | ||
454 | break; \ | ||
455 | \ | ||
456 | case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NAN): \ | ||
457 | _FP_CHOOSENAN(fs, wc, R, X, Y, '/'); \ | ||
458 | break; \ | ||
459 | \ | ||
460 | case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NORMAL): \ | ||
461 | case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_INF): \ | ||
462 | case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_ZERO): \ | ||
463 | R##_s = X##_s; \ | ||
464 | _FP_FRAC_COPY_##wc(R, X); \ | ||
465 | R##_c = X##_c; \ | ||
466 | break; \ | ||
467 | \ | ||
468 | case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NAN): \ | ||
469 | case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NAN): \ | ||
470 | case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NAN): \ | ||
471 | R##_s = Y##_s; \ | ||
472 | _FP_FRAC_COPY_##wc(R, Y); \ | ||
473 | R##_c = Y##_c; \ | ||
474 | break; \ | ||
475 | \ | ||
476 | case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_INF): \ | ||
477 | case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_INF): \ | ||
478 | case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NORMAL): \ | ||
479 | R##_c = FP_CLS_ZERO; \ | ||
480 | break; \ | ||
481 | \ | ||
482 | case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_ZERO): \ | ||
483 | FP_SET_EXCEPTION(FP_EX_DIVZERO); \ | ||
484 | case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_ZERO): \ | ||
485 | case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NORMAL): \ | ||
486 | R##_c = FP_CLS_INF; \ | ||
487 | break; \ | ||
488 | \ | ||
489 | case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_INF): \ | ||
490 | case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_ZERO): \ | ||
491 | R##_s = _FP_NANSIGN_##fs; \ | ||
492 | R##_c = FP_CLS_NAN; \ | ||
493 | _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs); \ | ||
494 | FP_SET_EXCEPTION(FP_EX_INVALID); \ | ||
495 | break; \ | ||
496 | \ | ||
497 | default: \ | ||
498 | abort(); \ | ||
499 | } \ | ||
500 | } while (0) | ||
501 | |||
502 | |||
503 | /* | ||
504 | * Main differential comparison routine. The inputs should be raw not | ||
505 | * cooked. The return is -1,0,1 for normal values, 2 otherwise. | ||
506 | */ | ||
507 | |||
508 | #define _FP_CMP(fs, wc, ret, X, Y, un) \ | ||
509 | do { \ | ||
510 | /* NANs are unordered */ \ | ||
511 | if ((X##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(X)) \ | ||
512 | || (Y##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(Y))) \ | ||
513 | { \ | ||
514 | ret = un; \ | ||
515 | } \ | ||
516 | else \ | ||
517 | { \ | ||
518 | int __is_zero_x; \ | ||
519 | int __is_zero_y; \ | ||
520 | \ | ||
521 | __is_zero_x = (!X##_e && _FP_FRAC_ZEROP_##wc(X)) ? 1 : 0; \ | ||
522 | __is_zero_y = (!Y##_e && _FP_FRAC_ZEROP_##wc(Y)) ? 1 : 0; \ | ||
523 | \ | ||
524 | if (__is_zero_x && __is_zero_y) \ | ||
525 | ret = 0; \ | ||
526 | else if (__is_zero_x) \ | ||
527 | ret = Y##_s ? 1 : -1; \ | ||
528 | else if (__is_zero_y) \ | ||
529 | ret = X##_s ? -1 : 1; \ | ||
530 | else if (X##_s != Y##_s) \ | ||
531 | ret = X##_s ? -1 : 1; \ | ||
532 | else if (X##_e > Y##_e) \ | ||
533 | ret = X##_s ? -1 : 1; \ | ||
534 | else if (X##_e < Y##_e) \ | ||
535 | ret = X##_s ? 1 : -1; \ | ||
536 | else if (_FP_FRAC_GT_##wc(X, Y)) \ | ||
537 | ret = X##_s ? -1 : 1; \ | ||
538 | else if (_FP_FRAC_GT_##wc(Y, X)) \ | ||
539 | ret = X##_s ? 1 : -1; \ | ||
540 | else \ | ||
541 | ret = 0; \ | ||
542 | } \ | ||
543 | } while (0) | ||
544 | |||
545 | |||
546 | /* Simplification for strict equality. */ | ||
547 | |||
548 | #define _FP_CMP_EQ(fs, wc, ret, X, Y) \ | ||
549 | do { \ | ||
550 | /* NANs are unordered */ \ | ||
551 | if ((X##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(X)) \ | ||
552 | || (Y##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(Y))) \ | ||
553 | { \ | ||
554 | ret = 1; \ | ||
555 | } \ | ||
556 | else \ | ||
557 | { \ | ||
558 | ret = !(X##_e == Y##_e \ | ||
559 | && _FP_FRAC_EQ_##wc(X, Y) \ | ||
560 | && (X##_s == Y##_s || !X##_e && _FP_FRAC_ZEROP_##wc(X))); \ | ||
561 | } \ | ||
562 | } while (0) | ||
563 | |||
564 | /* | ||
565 | * Main square root routine. The input value should be cooked. | ||
566 | */ | ||
567 | |||
568 | #define _FP_SQRT(fs, wc, R, X) \ | ||
569 | do { \ | ||
570 | _FP_FRAC_DECL_##wc(T); _FP_FRAC_DECL_##wc(S); \ | ||
571 | _FP_W_TYPE q; \ | ||
572 | switch (X##_c) \ | ||
573 | { \ | ||
574 | case FP_CLS_NAN: \ | ||
575 | _FP_FRAC_COPY_##wc(R, X); \ | ||
576 | R##_s = X##_s; \ | ||
577 | R##_c = FP_CLS_NAN; \ | ||
578 | break; \ | ||
579 | case FP_CLS_INF: \ | ||
580 | if (X##_s) \ | ||
581 | { \ | ||
582 | R##_s = _FP_NANSIGN_##fs; \ | ||
583 | R##_c = FP_CLS_NAN; /* NAN */ \ | ||
584 | _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs); \ | ||
585 | FP_SET_EXCEPTION(FP_EX_INVALID); \ | ||
586 | } \ | ||
587 | else \ | ||
588 | { \ | ||
589 | R##_s = 0; \ | ||
590 | R##_c = FP_CLS_INF; /* sqrt(+inf) = +inf */ \ | ||
591 | } \ | ||
592 | break; \ | ||
593 | case FP_CLS_ZERO: \ | ||
594 | R##_s = X##_s; \ | ||
595 | R##_c = FP_CLS_ZERO; /* sqrt(+-0) = +-0 */ \ | ||
596 | break; \ | ||
597 | case FP_CLS_NORMAL: \ | ||
598 | R##_s = 0; \ | ||
599 | if (X##_s) \ | ||
600 | { \ | ||
601 | R##_c = FP_CLS_NAN; /* sNAN */ \ | ||
602 | R##_s = _FP_NANSIGN_##fs; \ | ||
603 | _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs); \ | ||
604 | FP_SET_EXCEPTION(FP_EX_INVALID); \ | ||
605 | break; \ | ||
606 | } \ | ||
607 | R##_c = FP_CLS_NORMAL; \ | ||
608 | if (X##_e & 1) \ | ||
609 | _FP_FRAC_SLL_##wc(X, 1); \ | ||
610 | R##_e = X##_e >> 1; \ | ||
611 | _FP_FRAC_SET_##wc(S, _FP_ZEROFRAC_##wc); \ | ||
612 | _FP_FRAC_SET_##wc(R, _FP_ZEROFRAC_##wc); \ | ||
613 | q = _FP_OVERFLOW_##fs >> 1; \ | ||
614 | _FP_SQRT_MEAT_##wc(R, S, T, X, q); \ | ||
615 | } \ | ||
616 | } while (0) | ||
617 | |||
618 | /* | ||
619 | * Convert from FP to integer | ||
620 | */ | ||
621 | |||
622 | /* RSIGNED can have following values: | ||
623 | * 0: the number is required to be 0..(2^rsize)-1, if not, NV is set plus | ||
624 | * the result is either 0 or (2^rsize)-1 depending on the sign in such case. | ||
625 | * 1: the number is required to be -(2^(rsize-1))..(2^(rsize-1))-1, if not, NV is | ||
626 | * set plus the result is either -(2^(rsize-1)) or (2^(rsize-1))-1 depending | ||
627 | * on the sign in such case. | ||
628 | * 2: the number is required to be -(2^(rsize-1))..(2^(rsize-1))-1, if not, NV is | ||
629 | * set plus the result is truncated to fit into destination. | ||
630 | * -1: the number is required to be -(2^(rsize-1))..(2^rsize)-1, if not, NV is | ||
631 | * set plus the result is either -(2^(rsize-1)) or (2^(rsize-1))-1 depending | ||
632 | * on the sign in such case. | ||
633 | */ | ||
634 | #define _FP_TO_INT(fs, wc, r, X, rsize, rsigned) \ | ||
635 | do { \ | ||
636 | switch (X##_c) \ | ||
637 | { \ | ||
638 | case FP_CLS_NORMAL: \ | ||
639 | if (X##_e < 0) \ | ||
640 | { \ | ||
641 | FP_SET_EXCEPTION(FP_EX_INEXACT); \ | ||
642 | case FP_CLS_ZERO: \ | ||
643 | r = 0; \ | ||
644 | } \ | ||
645 | else if (X##_e >= rsize - (rsigned > 0 || X##_s) \ | ||
646 | || (!rsigned && X##_s)) \ | ||
647 | { /* overflow */ \ | ||
648 | case FP_CLS_NAN: \ | ||
649 | case FP_CLS_INF: \ | ||
650 | if (rsigned == 2) \ | ||
651 | { \ | ||
652 | if (X##_c != FP_CLS_NORMAL \ | ||
653 | || X##_e >= rsize - 1 + _FP_WFRACBITS_##fs) \ | ||
654 | r = 0; \ | ||
655 | else \ | ||
656 | { \ | ||
657 | _FP_FRAC_SLL_##wc(X, (X##_e - _FP_WFRACBITS_##fs + 1)); \ | ||
658 | _FP_FRAC_ASSEMBLE_##wc(r, X, rsize); \ | ||
659 | } \ | ||
660 | } \ | ||
661 | else if (rsigned) \ | ||
662 | { \ | ||
663 | r = 1; \ | ||
664 | r <<= rsize - 1; \ | ||
665 | r -= 1 - X##_s; \ | ||
666 | } \ | ||
667 | else \ | ||
668 | { \ | ||
669 | r = 0; \ | ||
670 | if (X##_s) \ | ||
671 | r = ~r; \ | ||
672 | } \ | ||
673 | FP_SET_EXCEPTION(FP_EX_INVALID); \ | ||
674 | } \ | ||
675 | else \ | ||
676 | { \ | ||
677 | if (_FP_W_TYPE_SIZE*wc < rsize) \ | ||
678 | { \ | ||
679 | _FP_FRAC_ASSEMBLE_##wc(r, X, rsize); \ | ||
680 | r <<= X##_e - _FP_WFRACBITS_##fs; \ | ||
681 | } \ | ||
682 | else \ | ||
683 | { \ | ||
684 | if (X##_e >= _FP_WFRACBITS_##fs) \ | ||
685 | _FP_FRAC_SLL_##wc(X, (X##_e - _FP_WFRACBITS_##fs + 1)); \ | ||
686 | else if (X##_e < _FP_WFRACBITS_##fs - 1) \ | ||
687 | { \ | ||
688 | _FP_FRAC_SRS_##wc(X, (_FP_WFRACBITS_##fs - X##_e - 2), \ | ||
689 | _FP_WFRACBITS_##fs); \ | ||
690 | if (_FP_FRAC_LOW_##wc(X) & 1) \ | ||
691 | FP_SET_EXCEPTION(FP_EX_INEXACT); \ | ||
692 | _FP_FRAC_SRL_##wc(X, 1); \ | ||
693 | } \ | ||
694 | _FP_FRAC_ASSEMBLE_##wc(r, X, rsize); \ | ||
695 | } \ | ||
696 | if (rsigned && X##_s) \ | ||
697 | r = -r; \ | ||
698 | } \ | ||
699 | break; \ | ||
700 | } \ | ||
701 | } while (0) | ||
702 | |||
703 | #define _FP_TO_INT_ROUND(fs, wc, r, X, rsize, rsigned) \ | ||
704 | do { \ | ||
705 | r = 0; \ | ||
706 | switch (X##_c) \ | ||
707 | { \ | ||
708 | case FP_CLS_NORMAL: \ | ||
709 | if (X##_e >= _FP_FRACBITS_##fs - 1) \ | ||
710 | { \ | ||
711 | if (X##_e < rsize - 1 + _FP_WFRACBITS_##fs) \ | ||
712 | { \ | ||
713 | if (X##_e >= _FP_WFRACBITS_##fs - 1) \ | ||
714 | { \ | ||
715 | _FP_FRAC_ASSEMBLE_##wc(r, X, rsize); \ | ||
716 | r <<= X##_e - _FP_WFRACBITS_##fs + 1; \ | ||
717 | } \ | ||
718 | else \ | ||
719 | { \ | ||
720 | _FP_FRAC_SRL_##wc(X, _FP_WORKBITS - X##_e \ | ||
721 | + _FP_FRACBITS_##fs - 1); \ | ||
722 | _FP_FRAC_ASSEMBLE_##wc(r, X, rsize); \ | ||
723 | } \ | ||
724 | } \ | ||
725 | } \ | ||
726 | else \ | ||
727 | { \ | ||
728 | if (X##_e <= -_FP_WORKBITS - 1) \ | ||
729 | _FP_FRAC_SET_##wc(X, _FP_MINFRAC_##wc); \ | ||
730 | else \ | ||
731 | _FP_FRAC_SRS_##wc(X, _FP_FRACBITS_##fs - 1 - X##_e, \ | ||
732 | _FP_WFRACBITS_##fs); \ | ||
733 | _FP_ROUND(wc, X); \ | ||
734 | _FP_FRAC_SRL_##wc(X, _FP_WORKBITS); \ | ||
735 | _FP_FRAC_ASSEMBLE_##wc(r, X, rsize); \ | ||
736 | } \ | ||
737 | if (rsigned && X##_s) \ | ||
738 | r = -r; \ | ||
739 | if (X##_e >= rsize - (rsigned > 0 || X##_s) \ | ||
740 | || (!rsigned && X##_s)) \ | ||
741 | { /* overflow */ \ | ||
742 | case FP_CLS_NAN: \ | ||
743 | case FP_CLS_INF: \ | ||
744 | if (!rsigned) \ | ||
745 | { \ | ||
746 | r = 0; \ | ||
747 | if (X##_s) \ | ||
748 | r = ~r; \ | ||
749 | } \ | ||
750 | else if (rsigned != 2) \ | ||
751 | { \ | ||
752 | r = 1; \ | ||
753 | r <<= rsize - 1; \ | ||
754 | r -= 1 - X##_s; \ | ||
755 | } \ | ||
756 | FP_SET_EXCEPTION(FP_EX_INVALID); \ | ||
757 | } \ | ||
758 | break; \ | ||
759 | case FP_CLS_ZERO: \ | ||
760 | break; \ | ||
761 | } \ | ||
762 | } while (0) | ||
763 | |||
764 | #define _FP_FROM_INT(fs, wc, X, r, rsize, rtype) \ | ||
765 | do { \ | ||
766 | if (r) \ | ||
767 | { \ | ||
768 | unsigned rtype ur_; \ | ||
769 | X##_c = FP_CLS_NORMAL; \ | ||
770 | \ | ||
771 | if ((X##_s = (r < 0))) \ | ||
772 | ur_ = (unsigned rtype) -r; \ | ||
773 | else \ | ||
774 | ur_ = (unsigned rtype) r; \ | ||
775 | if (rsize <= _FP_W_TYPE_SIZE) \ | ||
776 | __FP_CLZ(X##_e, ur_); \ | ||
777 | else \ | ||
778 | __FP_CLZ_2(X##_e, (_FP_W_TYPE)(ur_ >> _FP_W_TYPE_SIZE), \ | ||
779 | (_FP_W_TYPE)ur_); \ | ||
780 | if (rsize < _FP_W_TYPE_SIZE) \ | ||
781 | X##_e -= (_FP_W_TYPE_SIZE - rsize); \ | ||
782 | X##_e = rsize - X##_e - 1; \ | ||
783 | \ | ||
784 | if (_FP_FRACBITS_##fs < rsize && _FP_WFRACBITS_##fs < X##_e) \ | ||
785 | __FP_FRAC_SRS_1(ur_, (X##_e - _FP_WFRACBITS_##fs + 1), rsize);\ | ||
786 | _FP_FRAC_DISASSEMBLE_##wc(X, ur_, rsize); \ | ||
787 | if ((_FP_WFRACBITS_##fs - X##_e - 1) > 0) \ | ||
788 | _FP_FRAC_SLL_##wc(X, (_FP_WFRACBITS_##fs - X##_e - 1)); \ | ||
789 | } \ | ||
790 | else \ | ||
791 | { \ | ||
792 | X##_c = FP_CLS_ZERO, X##_s = 0; \ | ||
793 | } \ | ||
794 | } while (0) | ||
795 | |||
796 | |||
797 | #define FP_CONV(dfs,sfs,dwc,swc,D,S) \ | ||
798 | do { \ | ||
799 | _FP_FRAC_CONV_##dwc##_##swc(dfs, sfs, D, S); \ | ||
800 | D##_e = S##_e; \ | ||
801 | D##_c = S##_c; \ | ||
802 | D##_s = S##_s; \ | ||
803 | } while (0) | ||
804 | |||
805 | /* | ||
806 | * Helper primitives. | ||
807 | */ | ||
808 | |||
809 | /* Count leading zeros in a word. */ | ||
810 | |||
811 | #ifndef __FP_CLZ | ||
812 | #if _FP_W_TYPE_SIZE < 64 | ||
813 | /* this is just to shut the compiler up about shifts > word length -- PMM 02/1998 */ | ||
814 | #define __FP_CLZ(r, x) \ | ||
815 | do { \ | ||
816 | _FP_W_TYPE _t = (x); \ | ||
817 | r = _FP_W_TYPE_SIZE - 1; \ | ||
818 | if (_t > 0xffff) r -= 16; \ | ||
819 | if (_t > 0xffff) _t >>= 16; \ | ||
820 | if (_t > 0xff) r -= 8; \ | ||
821 | if (_t > 0xff) _t >>= 8; \ | ||
822 | if (_t & 0xf0) r -= 4; \ | ||
823 | if (_t & 0xf0) _t >>= 4; \ | ||
824 | if (_t & 0xc) r -= 2; \ | ||
825 | if (_t & 0xc) _t >>= 2; \ | ||
826 | if (_t & 0x2) r -= 1; \ | ||
827 | } while (0) | ||
828 | #else /* not _FP_W_TYPE_SIZE < 64 */ | ||
829 | #define __FP_CLZ(r, x) \ | ||
830 | do { \ | ||
831 | _FP_W_TYPE _t = (x); \ | ||
832 | r = _FP_W_TYPE_SIZE - 1; \ | ||
833 | if (_t > 0xffffffff) r -= 32; \ | ||
834 | if (_t > 0xffffffff) _t >>= 32; \ | ||
835 | if (_t > 0xffff) r -= 16; \ | ||
836 | if (_t > 0xffff) _t >>= 16; \ | ||
837 | if (_t > 0xff) r -= 8; \ | ||
838 | if (_t > 0xff) _t >>= 8; \ | ||
839 | if (_t & 0xf0) r -= 4; \ | ||
840 | if (_t & 0xf0) _t >>= 4; \ | ||
841 | if (_t & 0xc) r -= 2; \ | ||
842 | if (_t & 0xc) _t >>= 2; \ | ||
843 | if (_t & 0x2) r -= 1; \ | ||
844 | } while (0) | ||
845 | #endif /* not _FP_W_TYPE_SIZE < 64 */ | ||
846 | #endif /* ndef __FP_CLZ */ | ||
847 | |||
848 | #define _FP_DIV_HELP_imm(q, r, n, d) \ | ||
849 | do { \ | ||
850 | q = n / d, r = n % d; \ | ||
851 | } while (0) | ||
852 | |||
853 | #endif /* __MATH_EMU_OP_COMMON_H__ */ | ||
diff --git a/include/math-emu/quad.h b/include/math-emu/quad.h new file mode 100644 index 000000000000..616113626d09 --- /dev/null +++ b/include/math-emu/quad.h | |||
@@ -0,0 +1,208 @@ | |||
1 | /* Software floating-point emulation. | ||
2 | Definitions for IEEE Quad Precision. | ||
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_QUAD_H__ | ||
26 | #define __MATH_EMU_QUAD_H__ | ||
27 | |||
28 | #if _FP_W_TYPE_SIZE < 32 | ||
29 | #error "Here's a nickel, kid. Go buy yourself a real computer." | ||
30 | #endif | ||
31 | |||
32 | #if _FP_W_TYPE_SIZE < 64 | ||
33 | #define _FP_FRACTBITS_Q (4*_FP_W_TYPE_SIZE) | ||
34 | #else | ||
35 | #define _FP_FRACTBITS_Q (2*_FP_W_TYPE_SIZE) | ||
36 | #endif | ||
37 | |||
38 | #define _FP_FRACBITS_Q 113 | ||
39 | #define _FP_FRACXBITS_Q (_FP_FRACTBITS_Q - _FP_FRACBITS_Q) | ||
40 | #define _FP_WFRACBITS_Q (_FP_WORKBITS + _FP_FRACBITS_Q) | ||
41 | #define _FP_WFRACXBITS_Q (_FP_FRACTBITS_Q - _FP_WFRACBITS_Q) | ||
42 | #define _FP_EXPBITS_Q 15 | ||
43 | #define _FP_EXPBIAS_Q 16383 | ||
44 | #define _FP_EXPMAX_Q 32767 | ||
45 | |||
46 | #define _FP_QNANBIT_Q \ | ||
47 | ((_FP_W_TYPE)1 << (_FP_FRACBITS_Q-2) % _FP_W_TYPE_SIZE) | ||
48 | #define _FP_IMPLBIT_Q \ | ||
49 | ((_FP_W_TYPE)1 << (_FP_FRACBITS_Q-1) % _FP_W_TYPE_SIZE) | ||
50 | #define _FP_OVERFLOW_Q \ | ||
51 | ((_FP_W_TYPE)1 << (_FP_WFRACBITS_Q % _FP_W_TYPE_SIZE)) | ||
52 | |||
53 | #if _FP_W_TYPE_SIZE < 64 | ||
54 | |||
55 | union _FP_UNION_Q | ||
56 | { | ||
57 | long double flt; | ||
58 | struct | ||
59 | { | ||
60 | #if __BYTE_ORDER == __BIG_ENDIAN | ||
61 | unsigned sign : 1; | ||
62 | unsigned exp : _FP_EXPBITS_Q; | ||
63 | unsigned long frac3 : _FP_FRACBITS_Q - (_FP_IMPLBIT_Q != 0)-(_FP_W_TYPE_SIZE * 3); | ||
64 | unsigned long frac2 : _FP_W_TYPE_SIZE; | ||
65 | unsigned long frac1 : _FP_W_TYPE_SIZE; | ||
66 | unsigned long frac0 : _FP_W_TYPE_SIZE; | ||
67 | #else | ||
68 | unsigned long frac0 : _FP_W_TYPE_SIZE; | ||
69 | unsigned long frac1 : _FP_W_TYPE_SIZE; | ||
70 | unsigned long frac2 : _FP_W_TYPE_SIZE; | ||
71 | unsigned long frac3 : _FP_FRACBITS_Q - (_FP_IMPLBIT_Q != 0)-(_FP_W_TYPE_SIZE * 3); | ||
72 | unsigned exp : _FP_EXPBITS_Q; | ||
73 | unsigned sign : 1; | ||
74 | #endif /* not bigendian */ | ||
75 | } bits __attribute__((packed)); | ||
76 | }; | ||
77 | |||
78 | |||
79 | #define FP_DECL_Q(X) _FP_DECL(4,X) | ||
80 | #define FP_UNPACK_RAW_Q(X,val) _FP_UNPACK_RAW_4(Q,X,val) | ||
81 | #define FP_UNPACK_RAW_QP(X,val) _FP_UNPACK_RAW_4_P(Q,X,val) | ||
82 | #define FP_PACK_RAW_Q(val,X) _FP_PACK_RAW_4(Q,val,X) | ||
83 | #define FP_PACK_RAW_QP(val,X) \ | ||
84 | do { \ | ||
85 | if (!FP_INHIBIT_RESULTS) \ | ||
86 | _FP_PACK_RAW_4_P(Q,val,X); \ | ||
87 | } while (0) | ||
88 | |||
89 | #define FP_UNPACK_Q(X,val) \ | ||
90 | do { \ | ||
91 | _FP_UNPACK_RAW_4(Q,X,val); \ | ||
92 | _FP_UNPACK_CANONICAL(Q,4,X); \ | ||
93 | } while (0) | ||
94 | |||
95 | #define FP_UNPACK_QP(X,val) \ | ||
96 | do { \ | ||
97 | _FP_UNPACK_RAW_4_P(Q,X,val); \ | ||
98 | _FP_UNPACK_CANONICAL(Q,4,X); \ | ||
99 | } while (0) | ||
100 | |||
101 | #define FP_PACK_Q(val,X) \ | ||
102 | do { \ | ||
103 | _FP_PACK_CANONICAL(Q,4,X); \ | ||
104 | _FP_PACK_RAW_4(Q,val,X); \ | ||
105 | } while (0) | ||
106 | |||
107 | #define FP_PACK_QP(val,X) \ | ||
108 | do { \ | ||
109 | _FP_PACK_CANONICAL(Q,4,X); \ | ||
110 | if (!FP_INHIBIT_RESULTS) \ | ||
111 | _FP_PACK_RAW_4_P(Q,val,X); \ | ||
112 | } while (0) | ||
113 | |||
114 | #define FP_ISSIGNAN_Q(X) _FP_ISSIGNAN(Q,4,X) | ||
115 | #define FP_NEG_Q(R,X) _FP_NEG(Q,4,R,X) | ||
116 | #define FP_ADD_Q(R,X,Y) _FP_ADD(Q,4,R,X,Y) | ||
117 | #define FP_SUB_Q(R,X,Y) _FP_SUB(Q,4,R,X,Y) | ||
118 | #define FP_MUL_Q(R,X,Y) _FP_MUL(Q,4,R,X,Y) | ||
119 | #define FP_DIV_Q(R,X,Y) _FP_DIV(Q,4,R,X,Y) | ||
120 | #define FP_SQRT_Q(R,X) _FP_SQRT(Q,4,R,X) | ||
121 | #define _FP_SQRT_MEAT_Q(R,S,T,X,Q) _FP_SQRT_MEAT_4(R,S,T,X,Q) | ||
122 | |||
123 | #define FP_CMP_Q(r,X,Y,un) _FP_CMP(Q,4,r,X,Y,un) | ||
124 | #define FP_CMP_EQ_Q(r,X,Y) _FP_CMP_EQ(Q,4,r,X,Y) | ||
125 | |||
126 | #define FP_TO_INT_Q(r,X,rsz,rsg) _FP_TO_INT(Q,4,r,X,rsz,rsg) | ||
127 | #define FP_TO_INT_ROUND_Q(r,X,rsz,rsg) _FP_TO_INT_ROUND(Q,4,r,X,rsz,rsg) | ||
128 | #define FP_FROM_INT_Q(X,r,rs,rt) _FP_FROM_INT(Q,4,X,r,rs,rt) | ||
129 | |||
130 | #define _FP_FRAC_HIGH_Q(X) _FP_FRAC_HIGH_4(X) | ||
131 | #define _FP_FRAC_HIGH_RAW_Q(X) _FP_FRAC_HIGH_4(X) | ||
132 | |||
133 | #else /* not _FP_W_TYPE_SIZE < 64 */ | ||
134 | union _FP_UNION_Q | ||
135 | { | ||
136 | long double flt /* __attribute__((mode(TF))) */ ; | ||
137 | struct { | ||
138 | #if __BYTE_ORDER == __BIG_ENDIAN | ||
139 | unsigned sign : 1; | ||
140 | unsigned exp : _FP_EXPBITS_Q; | ||
141 | unsigned long frac1 : _FP_FRACBITS_Q-(_FP_IMPLBIT_Q != 0)-_FP_W_TYPE_SIZE; | ||
142 | unsigned long frac0 : _FP_W_TYPE_SIZE; | ||
143 | #else | ||
144 | unsigned long frac0 : _FP_W_TYPE_SIZE; | ||
145 | unsigned long frac1 : _FP_FRACBITS_Q-(_FP_IMPLBIT_Q != 0)-_FP_W_TYPE_SIZE; | ||
146 | unsigned exp : _FP_EXPBITS_Q; | ||
147 | unsigned sign : 1; | ||
148 | #endif | ||
149 | } bits; | ||
150 | }; | ||
151 | |||
152 | #define FP_DECL_Q(X) _FP_DECL(2,X) | ||
153 | #define FP_UNPACK_RAW_Q(X,val) _FP_UNPACK_RAW_2(Q,X,val) | ||
154 | #define FP_UNPACK_RAW_QP(X,val) _FP_UNPACK_RAW_2_P(Q,X,val) | ||
155 | #define FP_PACK_RAW_Q(val,X) _FP_PACK_RAW_2(Q,val,X) | ||
156 | #define FP_PACK_RAW_QP(val,X) \ | ||
157 | do { \ | ||
158 | if (!FP_INHIBIT_RESULTS) \ | ||
159 | _FP_PACK_RAW_2_P(Q,val,X); \ | ||
160 | } while (0) | ||
161 | |||
162 | #define FP_UNPACK_Q(X,val) \ | ||
163 | do { \ | ||
164 | _FP_UNPACK_RAW_2(Q,X,val); \ | ||
165 | _FP_UNPACK_CANONICAL(Q,2,X); \ | ||
166 | } while (0) | ||
167 | |||
168 | #define FP_UNPACK_QP(X,val) \ | ||
169 | do { \ | ||
170 | _FP_UNPACK_RAW_2_P(Q,X,val); \ | ||
171 | _FP_UNPACK_CANONICAL(Q,2,X); \ | ||
172 | } while (0) | ||
173 | |||
174 | #define FP_PACK_Q(val,X) \ | ||
175 | do { \ | ||
176 | _FP_PACK_CANONICAL(Q,2,X); \ | ||
177 | _FP_PACK_RAW_2(Q,val,X); \ | ||
178 | } while (0) | ||
179 | |||
180 | #define FP_PACK_QP(val,X) \ | ||
181 | do { \ | ||
182 | _FP_PACK_CANONICAL(Q,2,X); \ | ||
183 | if (!FP_INHIBIT_RESULTS) \ | ||
184 | _FP_PACK_RAW_2_P(Q,val,X); \ | ||
185 | } while (0) | ||
186 | |||
187 | #define FP_ISSIGNAN_Q(X) _FP_ISSIGNAN(Q,2,X) | ||
188 | #define FP_NEG_Q(R,X) _FP_NEG(Q,2,R,X) | ||
189 | #define FP_ADD_Q(R,X,Y) _FP_ADD(Q,2,R,X,Y) | ||
190 | #define FP_SUB_Q(R,X,Y) _FP_SUB(Q,2,R,X,Y) | ||
191 | #define FP_MUL_Q(R,X,Y) _FP_MUL(Q,2,R,X,Y) | ||
192 | #define FP_DIV_Q(R,X,Y) _FP_DIV(Q,2,R,X,Y) | ||
193 | #define FP_SQRT_Q(R,X) _FP_SQRT(Q,2,R,X) | ||
194 | #define _FP_SQRT_MEAT_Q(R,S,T,X,Q) _FP_SQRT_MEAT_2(R,S,T,X,Q) | ||
195 | |||
196 | #define FP_CMP_Q(r,X,Y,un) _FP_CMP(Q,2,r,X,Y,un) | ||
197 | #define FP_CMP_EQ_Q(r,X,Y) _FP_CMP_EQ(Q,2,r,X,Y) | ||
198 | |||
199 | #define FP_TO_INT_Q(r,X,rsz,rsg) _FP_TO_INT(Q,2,r,X,rsz,rsg) | ||
200 | #define FP_TO_INT_ROUND_Q(r,X,rsz,rsg) _FP_TO_INT_ROUND(Q,2,r,X,rsz,rsg) | ||
201 | #define FP_FROM_INT_Q(X,r,rs,rt) _FP_FROM_INT(Q,2,X,r,rs,rt) | ||
202 | |||
203 | #define _FP_FRAC_HIGH_Q(X) _FP_FRAC_HIGH_2(X) | ||
204 | #define _FP_FRAC_HIGH_RAW_Q(X) _FP_FRAC_HIGH_2(X) | ||
205 | |||
206 | #endif /* not _FP_W_TYPE_SIZE < 64 */ | ||
207 | |||
208 | #endif /* __MATH_EMU_QUAD_H__ */ | ||
diff --git a/include/math-emu/single.h b/include/math-emu/single.h new file mode 100644 index 000000000000..87f90b0f9e5d --- /dev/null +++ b/include/math-emu/single.h | |||
@@ -0,0 +1,116 @@ | |||
1 | /* Software floating-point emulation. | ||
2 | Definitions for IEEE Single Precision. | ||
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_SINGLE_H__ | ||
26 | #define __MATH_EMU_SINGLE_H__ | ||
27 | |||
28 | #if _FP_W_TYPE_SIZE < 32 | ||
29 | #error "Here's a nickel kid. Go buy yourself a real computer." | ||
30 | #endif | ||
31 | |||
32 | #define _FP_FRACBITS_S 24 | ||
33 | #define _FP_FRACXBITS_S (_FP_W_TYPE_SIZE - _FP_FRACBITS_S) | ||
34 | #define _FP_WFRACBITS_S (_FP_WORKBITS + _FP_FRACBITS_S) | ||
35 | #define _FP_WFRACXBITS_S (_FP_W_TYPE_SIZE - _FP_WFRACBITS_S) | ||
36 | #define _FP_EXPBITS_S 8 | ||
37 | #define _FP_EXPBIAS_S 127 | ||
38 | #define _FP_EXPMAX_S 255 | ||
39 | #define _FP_QNANBIT_S ((_FP_W_TYPE)1 << (_FP_FRACBITS_S-2)) | ||
40 | #define _FP_IMPLBIT_S ((_FP_W_TYPE)1 << (_FP_FRACBITS_S-1)) | ||
41 | #define _FP_OVERFLOW_S ((_FP_W_TYPE)1 << (_FP_WFRACBITS_S)) | ||
42 | |||
43 | /* The implementation of _FP_MUL_MEAT_S and _FP_DIV_MEAT_S should be | ||
44 | chosen by the target machine. */ | ||
45 | |||
46 | union _FP_UNION_S | ||
47 | { | ||
48 | float flt; | ||
49 | struct { | ||
50 | #if __BYTE_ORDER == __BIG_ENDIAN | ||
51 | unsigned sign : 1; | ||
52 | unsigned exp : _FP_EXPBITS_S; | ||
53 | unsigned frac : _FP_FRACBITS_S - (_FP_IMPLBIT_S != 0); | ||
54 | #else | ||
55 | unsigned frac : _FP_FRACBITS_S - (_FP_IMPLBIT_S != 0); | ||
56 | unsigned exp : _FP_EXPBITS_S; | ||
57 | unsigned sign : 1; | ||
58 | #endif | ||
59 | } bits __attribute__((packed)); | ||
60 | }; | ||
61 | |||
62 | #define FP_DECL_S(X) _FP_DECL(1,X) | ||
63 | #define FP_UNPACK_RAW_S(X,val) _FP_UNPACK_RAW_1(S,X,val) | ||
64 | #define FP_UNPACK_RAW_SP(X,val) _FP_UNPACK_RAW_1_P(S,X,val) | ||
65 | #define FP_PACK_RAW_S(val,X) _FP_PACK_RAW_1(S,val,X) | ||
66 | #define FP_PACK_RAW_SP(val,X) \ | ||
67 | do { \ | ||
68 | if (!FP_INHIBIT_RESULTS) \ | ||
69 | _FP_PACK_RAW_1_P(S,val,X); \ | ||
70 | } while (0) | ||
71 | |||
72 | #define FP_UNPACK_S(X,val) \ | ||
73 | do { \ | ||
74 | _FP_UNPACK_RAW_1(S,X,val); \ | ||
75 | _FP_UNPACK_CANONICAL(S,1,X); \ | ||
76 | } while (0) | ||
77 | |||
78 | #define FP_UNPACK_SP(X,val) \ | ||
79 | do { \ | ||
80 | _FP_UNPACK_RAW_1_P(S,X,val); \ | ||
81 | _FP_UNPACK_CANONICAL(S,1,X); \ | ||
82 | } while (0) | ||
83 | |||
84 | #define FP_PACK_S(val,X) \ | ||
85 | do { \ | ||
86 | _FP_PACK_CANONICAL(S,1,X); \ | ||
87 | _FP_PACK_RAW_1(S,val,X); \ | ||
88 | } while (0) | ||
89 | |||
90 | #define FP_PACK_SP(val,X) \ | ||
91 | do { \ | ||
92 | _FP_PACK_CANONICAL(S,1,X); \ | ||
93 | if (!FP_INHIBIT_RESULTS) \ | ||
94 | _FP_PACK_RAW_1_P(S,val,X); \ | ||
95 | } while (0) | ||
96 | |||
97 | #define FP_ISSIGNAN_S(X) _FP_ISSIGNAN(S,1,X) | ||
98 | #define FP_NEG_S(R,X) _FP_NEG(S,1,R,X) | ||
99 | #define FP_ADD_S(R,X,Y) _FP_ADD(S,1,R,X,Y) | ||
100 | #define FP_SUB_S(R,X,Y) _FP_SUB(S,1,R,X,Y) | ||
101 | #define FP_MUL_S(R,X,Y) _FP_MUL(S,1,R,X,Y) | ||
102 | #define FP_DIV_S(R,X,Y) _FP_DIV(S,1,R,X,Y) | ||
103 | #define FP_SQRT_S(R,X) _FP_SQRT(S,1,R,X) | ||
104 | #define _FP_SQRT_MEAT_S(R,S,T,X,Q) _FP_SQRT_MEAT_1(R,S,T,X,Q) | ||
105 | |||
106 | #define FP_CMP_S(r,X,Y,un) _FP_CMP(S,1,r,X,Y,un) | ||
107 | #define FP_CMP_EQ_S(r,X,Y) _FP_CMP_EQ(S,1,r,X,Y) | ||
108 | |||
109 | #define FP_TO_INT_S(r,X,rsz,rsg) _FP_TO_INT(S,1,r,X,rsz,rsg) | ||
110 | #define FP_TO_INT_ROUND_S(r,X,rsz,rsg) _FP_TO_INT_ROUND(S,1,r,X,rsz,rsg) | ||
111 | #define FP_FROM_INT_S(X,r,rs,rt) _FP_FROM_INT(S,1,X,r,rs,rt) | ||
112 | |||
113 | #define _FP_FRAC_HIGH_S(X) _FP_FRAC_HIGH_1(X) | ||
114 | #define _FP_FRAC_HIGH_RAW_S(X) _FP_FRAC_HIGH_1(X) | ||
115 | |||
116 | #endif /* __MATH_EMU_SINGLE_H__ */ | ||
diff --git a/include/math-emu/soft-fp.h b/include/math-emu/soft-fp.h new file mode 100644 index 000000000000..d02eb64a865b --- /dev/null +++ b/include/math-emu/soft-fp.h | |||
@@ -0,0 +1,181 @@ | |||
1 | /* Software floating-point emulation. | ||
2 | Copyright (C) 1997,1998,1999 Free Software Foundation, Inc. | ||
3 | This file is part of the GNU C Library. | ||
4 | Contributed by Richard Henderson (rth@cygnus.com), | ||
5 | Jakub Jelinek (jj@ultra.linux.cz), | ||
6 | David S. Miller (davem@redhat.com) and | ||
7 | Peter Maydell (pmaydell@chiark.greenend.org.uk). | ||
8 | |||
9 | The GNU C Library is free software; you can redistribute it and/or | ||
10 | modify it under the terms of the GNU Library General Public License as | ||
11 | published by the Free Software Foundation; either version 2 of the | ||
12 | License, or (at your option) any later version. | ||
13 | |||
14 | The GNU C Library is distributed in the hope that it will be useful, | ||
15 | but WITHOUT ANY WARRANTY; without even the implied warranty of | ||
16 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | ||
17 | Library General Public License for more details. | ||
18 | |||
19 | You should have received a copy of the GNU Library General Public | ||
20 | License along with the GNU C Library; see the file COPYING.LIB. If | ||
21 | not, write to the Free Software Foundation, Inc., | ||
22 | 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. */ | ||
23 | |||
24 | #ifndef __MATH_EMU_SOFT_FP_H__ | ||
25 | #define __MATH_EMU_SOFT_FP_H__ | ||
26 | |||
27 | #include <asm/sfp-machine.h> | ||
28 | |||
29 | /* Allow sfp-machine to have its own byte order definitions. */ | ||
30 | #ifndef __BYTE_ORDER | ||
31 | #include <endian.h> | ||
32 | #endif | ||
33 | |||
34 | #define _FP_WORKBITS 3 | ||
35 | #define _FP_WORK_LSB ((_FP_W_TYPE)1 << 3) | ||
36 | #define _FP_WORK_ROUND ((_FP_W_TYPE)1 << 2) | ||
37 | #define _FP_WORK_GUARD ((_FP_W_TYPE)1 << 1) | ||
38 | #define _FP_WORK_STICKY ((_FP_W_TYPE)1 << 0) | ||
39 | |||
40 | #ifndef FP_RND_NEAREST | ||
41 | # define FP_RND_NEAREST 0 | ||
42 | # define FP_RND_ZERO 1 | ||
43 | # define FP_RND_PINF 2 | ||
44 | # define FP_RND_MINF 3 | ||
45 | #ifndef FP_ROUNDMODE | ||
46 | # define FP_ROUNDMODE FP_RND_NEAREST | ||
47 | #endif | ||
48 | #endif | ||
49 | |||
50 | /* By default don't care about exceptions. */ | ||
51 | #ifndef FP_EX_INVALID | ||
52 | #define FP_EX_INVALID 0 | ||
53 | #endif | ||
54 | #ifndef FP_EX_OVERFLOW | ||
55 | #define FP_EX_OVERFLOW 0 | ||
56 | #endif | ||
57 | #ifndef FP_EX_UNDERFLOW | ||
58 | #define FP_EX_UNDERFLOW | ||
59 | #endif | ||
60 | #ifndef FP_EX_DIVZERO | ||
61 | #define FP_EX_DIVZERO 0 | ||
62 | #endif | ||
63 | #ifndef FP_EX_INEXACT | ||
64 | #define FP_EX_INEXACT 0 | ||
65 | #endif | ||
66 | #ifndef FP_EX_DENORM | ||
67 | #define FP_EX_DENORM 0 | ||
68 | #endif | ||
69 | |||
70 | #ifdef _FP_DECL_EX | ||
71 | #define FP_DECL_EX \ | ||
72 | int _fex = 0; \ | ||
73 | _FP_DECL_EX | ||
74 | #else | ||
75 | #define FP_DECL_EX int _fex = 0 | ||
76 | #endif | ||
77 | |||
78 | #ifndef FP_INIT_ROUNDMODE | ||
79 | #define FP_INIT_ROUNDMODE do {} while (0) | ||
80 | #endif | ||
81 | |||
82 | #ifndef FP_HANDLE_EXCEPTIONS | ||
83 | #define FP_HANDLE_EXCEPTIONS do {} while (0) | ||
84 | #endif | ||
85 | |||
86 | /* By default we never flush denormal input operands to signed zero. */ | ||
87 | #ifndef FP_DENORM_ZERO | ||
88 | #define FP_DENORM_ZERO 0 | ||
89 | #endif | ||
90 | |||
91 | #ifndef FP_INHIBIT_RESULTS | ||
92 | /* By default we write the results always. | ||
93 | * sfp-machine may override this and e.g. | ||
94 | * check if some exceptions are unmasked | ||
95 | * and inhibit it in such a case. | ||
96 | */ | ||
97 | #define FP_INHIBIT_RESULTS 0 | ||
98 | #endif | ||
99 | |||
100 | #define FP_SET_EXCEPTION(ex) \ | ||
101 | _fex |= (ex) | ||
102 | |||
103 | #define FP_UNSET_EXCEPTION(ex) \ | ||
104 | _fex &= ~(ex) | ||
105 | |||
106 | #define FP_CLEAR_EXCEPTIONS \ | ||
107 | _fex = 0 | ||
108 | |||
109 | #define _FP_ROUND_NEAREST(wc, X) \ | ||
110 | do { \ | ||
111 | if ((_FP_FRAC_LOW_##wc(X) & 15) != _FP_WORK_ROUND) \ | ||
112 | _FP_FRAC_ADDI_##wc(X, _FP_WORK_ROUND); \ | ||
113 | } while (0) | ||
114 | |||
115 | #define _FP_ROUND_ZERO(wc, X) 0 | ||
116 | |||
117 | #define _FP_ROUND_PINF(wc, X) \ | ||
118 | do { \ | ||
119 | if (!X##_s && (_FP_FRAC_LOW_##wc(X) & 7)) \ | ||
120 | _FP_FRAC_ADDI_##wc(X, _FP_WORK_LSB); \ | ||
121 | } while (0) | ||
122 | |||
123 | #define _FP_ROUND_MINF(wc, X) \ | ||
124 | do { \ | ||
125 | if (X##_s && (_FP_FRAC_LOW_##wc(X) & 7)) \ | ||
126 | _FP_FRAC_ADDI_##wc(X, _FP_WORK_LSB); \ | ||
127 | } while (0) | ||
128 | |||
129 | #define _FP_ROUND(wc, X) \ | ||
130 | do { \ | ||
131 | if (_FP_FRAC_LOW_##wc(X) & 7) \ | ||
132 | FP_SET_EXCEPTION(FP_EX_INEXACT); \ | ||
133 | switch (FP_ROUNDMODE) \ | ||
134 | { \ | ||
135 | case FP_RND_NEAREST: \ | ||
136 | _FP_ROUND_NEAREST(wc,X); \ | ||
137 | break; \ | ||
138 | case FP_RND_ZERO: \ | ||
139 | _FP_ROUND_ZERO(wc,X); \ | ||
140 | break; \ | ||
141 | case FP_RND_PINF: \ | ||
142 | _FP_ROUND_PINF(wc,X); \ | ||
143 | break; \ | ||
144 | case FP_RND_MINF: \ | ||
145 | _FP_ROUND_MINF(wc,X); \ | ||
146 | break; \ | ||
147 | } \ | ||
148 | } while (0) | ||
149 | |||
150 | #define FP_CLS_NORMAL 0 | ||
151 | #define FP_CLS_ZERO 1 | ||
152 | #define FP_CLS_INF 2 | ||
153 | #define FP_CLS_NAN 3 | ||
154 | |||
155 | #define _FP_CLS_COMBINE(x,y) (((x) << 2) | (y)) | ||
156 | |||
157 | #include <math-emu/op-1.h> | ||
158 | #include <math-emu/op-2.h> | ||
159 | #include <math-emu/op-4.h> | ||
160 | #include <math-emu/op-8.h> | ||
161 | #include <math-emu/op-common.h> | ||
162 | |||
163 | /* Sigh. Silly things longlong.h needs. */ | ||
164 | #define UWtype _FP_W_TYPE | ||
165 | #define W_TYPE_SIZE _FP_W_TYPE_SIZE | ||
166 | |||
167 | typedef int SItype __attribute__((mode(SI))); | ||
168 | typedef int DItype __attribute__((mode(DI))); | ||
169 | typedef unsigned int USItype __attribute__((mode(SI))); | ||
170 | typedef unsigned int UDItype __attribute__((mode(DI))); | ||
171 | #if _FP_W_TYPE_SIZE == 32 | ||
172 | typedef unsigned int UHWtype __attribute__((mode(HI))); | ||
173 | #elif _FP_W_TYPE_SIZE == 64 | ||
174 | typedef USItype UHWtype; | ||
175 | #endif | ||
176 | |||
177 | #ifndef umul_ppmm | ||
178 | #include <stdlib/longlong.h> | ||
179 | #endif | ||
180 | |||
181 | #endif /* __MATH_EMU_SOFT_FP_H__ */ | ||