1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
|
// file kernel/n/c/add.c: addition/subtraction of natural integers
/*-----------------------------------------------------------------------+
| Copyright 2005-2006, Michel Quercia (michel.quercia@prepas.org) |
| |
| This file is part of Numerix. Numerix is free software; you can |
| redistribute it and/or modify it under the terms of the GNU Lesser |
| General Public License as published by the Free Software Foundation; |
| either version 2.1 of the License, or (at your option) any later |
| version. |
| |
| The Numerix Library is distributed in the hope that it will be |
| useful, but WITHOUT ANY WARRANTY; without even the implied warranty |
| of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
| Lesser General Public License for more details. |
| |
| You should have received a copy of the GNU Lesser General Public |
| License along with the GNU MP Library; see the file COPYING. If not, |
| write to the Free Software Foundation, Inc., 59 Temple Place - |
| Suite 330, Boston, MA 02111-1307, USA. |
+-----------------------------------------------------------------------+
| |
| Addition/soustraction |
| |
+-----------------------------------------------------------------------*/
/* ---------------------------------------- Addition
entre :
a = naturel de longueur la
b = naturel de longueur lb <= la
c = naturel de longueur la
sortie :
c <- a + b
retourne la retenue
*/
#ifndef assembly_sn_add
chiffre xn(add)(chiffre *a, long la, chiffre *b, long lb, chiffre *c) {
#ifdef ndouble
ndouble r;
long i;
for (r=0, i=0; i<lb; i++)
{r += (ndouble)a[i] + (ndouble)b[i]; c[i] = r; r >>= HW;}
for ( ; i < la; i++) {r += (ndouble)a[i]; c[i] = r; r >>= HW;}
return(r);
#else
chiffre r,s,t;
long i;
for (r=0, i=0; i<lb; i++) {
s = r + a[i]; r = (s < r);
t = s + b[i]; r |= (t < s);
c[i] = t;
}
for (; i<la; i++) {
s = r + a[i]; r = (s < r);
c[i] = s;
}
return(r);
#endif /* ndouble */
}
#endif /* assembly_sn_add */
/* ---------------------------------------- Incrmentation
entre :
a = naturel de longueur la
b = naturel de longueur lb avec lb <= la
sortie :
a <- a + b
retourne la retenue
remarque :
xn(inc) peut tre utilis pour diviser par 1 - BASE^p si p >= 1
la version assembleur x86 ne peut tre utilise dans ce but que
pour p >= 2
*/
#ifndef assembly_sn_inc
chiffre xn(inc)(chiffre *a, long la, chiffre *b, long lb) {
#ifdef ndouble
ndouble r;
long i;
for (r=0, i=0; i < lb; i++)
{r += (ndouble)a[i] + (ndouble)b[i]; a[i] = r; r >>= HW;}
for ( ; (i < la) && (r); i++) {r += (ndouble)a[i]; a[i] = r; r >>= HW;}
return(r);
#else
chiffre r,s,t;
long i;
for (r=0, i=0; i<lb; i++) {
s = r + a[i]; r = (s < r);
t = s + b[i]; r |= (t < s);
a[i] = t;
}
for (; (i<la) && (r); i++) {
s = 1 + a[i]; r = (s == 0);
a[i] = s;
}
return(r);
#endif /* ndouble */
}
#endif /* assembly_sn_inc */
/* ---------------------------------------- Incrmentation de 1
entre :
a = naturel de longueur la
sortie :
a <- a + 1
retourne la retenue
*/
#ifndef assembly_sn_inc1
chiffre xn(inc1)(chiffre *a, long la) {
#ifdef ndouble
ndouble r;
long i;
for (r=1, i=0; (i < la) && (r); i++)
{r += (ndouble)a[i]; a[i] = r; r >>= HW;}
return(r);
#else
chiffre r,s;
long i;
for (r=1, i=0; (i<la) && (r); i++) {
s = 1 + a[i]; r = (s == 0);
a[i] = s;
}
return(r);
#endif /* ndouble */
}
#endif /* assembly_sn_inc1 */
/* ---------------------------------------- Soustraction
entre :
a = naturel de longueur la
b = naturel de longueur lb <= la
c = naturel de longueur la
sortie :
c <- a - b
retourne la retenue
*/
#ifndef assembly_sn_sub
chiffre xn(sub)(chiffre *a, long la, chiffre *b, long lb, chiffre *c) {
#ifdef zdouble
zdouble r;
long i;
for (r=0, i=0; i < lb; i++)
{r += (ndouble)a[i] - (ndouble)b[i]; c[i] = r; r >>= HW;}
for ( ; i < la; i++) {r += (ndouble)a[i]; c[i] = r; r >>= HW;}
return(-r);
#else
chiffre r,s,t;
long i;
for (r=0, i=0; i<lb; i++) {
s = a[i] - r; r &= (s == (BASE_2)+(BASE_2-1));
t = s - b[i]; r |= (t > s);
c[i] = t;
}
for (; i<la; i++) {
s = a[i] - r; r &= (s == (BASE_2)+(BASE_2-1));
c[i] = s;
}
return(r);
#endif /* zdouble */
}
#endif /* assembly_sn_sub */
/* ---------------------------------------- Dcrmentation
entre :
a = naturel de longueur la
b = naturel de longueur lb avec lb <= la
sortie :
a <- a - b
retourne la retenue
*/
#ifndef assembly_sn_dec
chiffre xn(dec)(chiffre *a, long la, chiffre *b, long lb) {
#ifdef ndouble
zdouble r;
long i;
for (r=0, i=0; i < lb; i++)
{r += (ndouble)a[i] - (ndouble)b[i]; a[i] = r; r >>= HW;}
for ( ; (i < la) && (r); i++) {r += (ndouble)a[i]; a[i] = r; r >>= HW;}
return(-r);
#else
chiffre r,s,t;
long i;
for (r=0, i=0; i<lb; i++) {
s = a[i] - r; r &= (s == (BASE_2)+(BASE_2-1));
t = s - b[i]; r |= (t > s);
a[i] = t;
}
for (; (i<la) && (r); i++) {
s = a[i] - r; r = (s == (BASE_2)+(BASE_2-1));
a[i] = s;
}
return(r);
#endif /* zdouble */
}
#endif /* assembly_sn_dec */
/* ---------------------------------------- Dcrmentation de 1
entre :
a = naturel de longueur la
sortie :
a <- a - 1
retourne la retenue
*/
#ifndef assembly_sn_dec1
chiffre xn(dec1)(chiffre *a, long la) {
#ifdef ndouble
zdouble r;
long i;
for (r=-1, i=0; (i < la) && (r); i++)
{r += (ndouble)a[i]; a[i] = r; r >>= HW;}
return(-r);
#else
chiffre r,s;
long i;
for (r=1, i=0; (i<la) && (r); i++) {
s = a[i] - r; r = (s == (BASE_2)+(BASE_2-1));
a[i] = s;
}
return(r);
#endif /* zdouble */
}
#endif /* assembly_sn_dec1 */
|
