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
|
#include <stdio.h>
#include <string.h>
#include <math.h>
#include "sbignum.h"
static char *cset = "0123456789abcdefghijklmnopqrstuvwxyz";
static void gen_cset(int hdr);
static void gen_rcset(int hdr);
static void gen_bitstable(int hdr);
static void gen_basetable(int hdr);
static void _gen_basetable(int bytes, double base);
static void gen_basepowtable(int hdr);
static void _gen_basepowtable(int bytes, double base);
static unsigned long lexp(unsigned long b, int e);
static int nbits(unsigned char x);
static double logbn(double base, double n);
#define EFL 16 /* elements for line */
int main(int argc, char **argv)
{
int hdr = argc-1;
argv = argv;
if (hdr) {
printf( "#ifndef _SBN_TABLES_H\n"
"#define _SBN_TABLES_H\n"
"\n"
"#include <sys/types.h>\n\n");
} else {
printf( "#include \"tables.h\"\n"
"#include \"sbignum.h\"\n\n");
}
gen_cset(hdr);
gen_rcset(hdr);
gen_bitstable(hdr);
gen_basetable(hdr);
gen_basepowtable(hdr);
if (hdr) {
printf("\n#endif /* _SBN_TABLES_H */\n");
}
return 0;
}
void gen_cset(int hdr)
{
if (hdr) {
printf("extern char *cset;\n");
return;
}
printf("/* maps a number to a char */\n");
printf("char *cset = \"%s\";\n\n", cset);
}
void gen_rcset(int hdr)
{
int i;
if (hdr) {
printf("extern int8_t r_cset[256];\n");
return;
}
printf("/* maps a char to a number */\n");
printf("int8_t r_cset[256] = {\n");
for (i = 0; i < 256; i++) {
char *p;
p = strchr(cset, i);
if (!(i%EFL))
printf("\t");
if (!p || !i) {
printf("-1, ");
} else {
printf("%2d, ", p-cset);
}
if (!((i+1) % EFL))
printf("\n");
}
printf("};\n\n");
}
int nbits(unsigned char x)
{
int i = 8;
int bits = 0;
do {
bits += x & 1;
x >>= 1;
} while(--i);
return bits;
}
void gen_bitstable(int hdr)
{
int i;
if (hdr) {
printf("extern int8_t bitstable[256];\n");
return;
}
printf("/* bitstable[n] is the number of set bits\n"
" * in the number 'n' */\n");
printf("int8_t bitstable[256] = {\n");
for (i = 0; i < 256; i++) {
if (!(i%EFL))
printf("\t");
printf("%d, ", nbits(i));
if (!((i+1) % EFL))
printf("\n");
}
printf("};\n\n");
}
double logbn(double base, double n)
{
return log(n)/log(base);
}
void _gen_basetable(int bytes, double base)
{
int i;
printf("#if ATOMBYTES == %d\n", bytes);
printf("double basetable[%d] = {\n", SBN_MAXBASE+1);
for (i = 0; i <= SBN_MAXBASE; i++) {
if (i < 2) {
printf("\t0, /* unused */\n");
continue;
}
printf("\t%f, /* (log of %d in base %.0f) */\n",
logbn(i, base), i, base);
}
printf("};\n#endif\n\n");
}
#define BT_8BITBASE 256U
#define BT_16BITBASE 65536U
#define BT_32BITBASE 4294967296U
void gen_basetable(int hdr)
{
if (hdr) {
printf("extern double basetable[%d];\n", SBN_MAXBASE+1);
return;
}
printf("/* basetable[b] = number of digits needed to convert\n"
" * an mpz atom in base 'b' */\n");
_gen_basetable(1, BT_8BITBASE);
_gen_basetable(2, BT_16BITBASE);
_gen_basetable(4, BT_32BITBASE);
}
/* return b^e */
unsigned long lexp(unsigned long b, int e)
{
unsigned long p = b;
if (!e) return 1;
while(--e)
p *= b;
return p;
}
void _gen_basepowtable(int bytes, double base)
{
int i;
base--;
printf("#if ATOMBYTES == %d\n", bytes);
printf("struct sbn_basepow basepowtable[%d] = {\n", SBN_MAXBASE+1);
for (i = 0; i <= SBN_MAXBASE; i++) {
unsigned long bexp;
unsigned long bpow;
if (i < 2) {
printf("\t{0,0}, /* unused */\n");
continue;
}
bexp = (unsigned long) floor(logbn(i, base));
bpow = lexp(i, bexp);
printf("\t{%luU, %luU}, /* floor(log of %d in base %.0f) */\n",
bpow, bexp, i, base);
}
printf("};\n#endif\n\n");
}
void gen_basepowtable(int hdr)
{
if (hdr) {
printf( "struct sbn_basepow {\n"
" unsigned long maxpow;\n"
" unsigned long maxexp;\n"
"};\n");
printf("extern struct sbn_basepow basepowtable[%d];\n",
SBN_MAXBASE+1);
return;
}
printf(
"/* basepowtable[b] = the first column is the biggest power of 'b'\n"
" * that fits in mpz_atom_t, the second column is the exponent\n"
" * 'e' so that b^e = the value of the first column */\n");
_gen_basepowtable(1, BT_8BITBASE);
_gen_basepowtable(2, BT_16BITBASE);
_gen_basepowtable(4, BT_32BITBASE);
}
|
