| 13 |
|
#include <time.h> |
| 14 |
|
#include "random.h" |
| 15 |
|
|
| 16 |
+ |
#ifndef uint16 |
| 17 |
+ |
#define uint16 unsigned short /* 16-bit unsigned integer */ |
| 18 |
+ |
#endif |
| 19 |
+ |
#undef uby8 |
| 20 |
+ |
#define uby8 unsigned char /* 8-bit unsigned integer */ |
| 21 |
+ |
|
| 22 |
|
#define MAXDIM 50 |
| 23 |
|
|
| 24 |
< |
char buf[256]; |
| 24 |
> |
#define NLEVELS 9 /* number of tree levels */ |
| 25 |
> |
#define BRORDER 6 /* branches/level */ |
| 26 |
|
|
| 27 |
+ |
/* Tree branch structure for quick occupancy search */ |
| 28 |
+ |
/* with 9 levels & 6 branches per level, we can store 1.94 Gbits in 259 MBytes (4.5% overhead) */ |
| 29 |
+ |
const struct { |
| 30 |
+ |
long capacity; /* slots/branch this level */ |
| 31 |
+ |
long skip_bytes; /* bytes until next branch */ |
| 32 |
+ |
int cntr_siz; /* occupancy counter size */ |
| 33 |
+ |
} tree_br[NLEVELS] = { |
| 34 |
+ |
{248L, 32L, 1}, |
| 35 |
+ |
{248L*6, 32L*6+2, 2}, |
| 36 |
+ |
{248L*6*6, (32L*6+2)*6+2, 2}, |
| 37 |
+ |
{248L*6*6*6, ((32L*6+2)*6+2)*6+2, 2}, |
| 38 |
+ |
{248L*6*6*6*6, (((32L*6+2)*6+2)*6+2)*6+3, 3}, |
| 39 |
+ |
{248L*6*6*6*6*6, ((((32L*6+2)*6+2)*6+2)*6+3)*6+3, 3}, |
| 40 |
+ |
{248L*6*6*6*6*6*6, (((((32L*6+2)*6+2)*6+2)*6+3)*6+3)*6+3, 3}, |
| 41 |
+ |
{248L*6*6*6*6*6*6*6, ((((((32L*6+2)*6+2)*6+2)*6+3)*6+3)*6+3)*6+4, 4}, |
| 42 |
+ |
{248L*6*6*6*6*6*6*6*6, (((((((32L*6+2)*6+2)*6+2)*6+3)*6+3)*6+3)*6+4)*6+4, 4}, |
| 43 |
+ |
}; |
| 44 |
|
|
| 45 |
+ |
char buf[256]; /* buffer for ordered array output */ |
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+ |
|
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+ |
|
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/* Encode integer in string and return pointer to end */ |
| 49 |
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static char * |
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< |
tack( |
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< |
char *b, |
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< |
int i |
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< |
) |
| 50 |
> |
tack(char *b, long i) |
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|
{ |
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|
char *cp; |
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|
char *res; |
| 58 |
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*cp++ = '0'; |
| 59 |
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else |
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|
do { |
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< |
*cp++ = i%10 + '0'; |
| 62 |
< |
i /= 10; |
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> |
*cp++ = i%10L + '0'; |
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> |
i /= 10L; |
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} while (i); |
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res = cp--; |
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#define c i |
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|
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/* Loop over dimensions, spitting out buffer after each increment */ |
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static void |
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< |
loop( |
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< |
int *n, |
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< |
char *b |
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< |
) |
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> |
loop(long *n, char *b) |
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{ |
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< |
int i; |
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> |
long i; |
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|
| 82 |
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if (n[0] == 0) { |
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*b = '\0'; |
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} |
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|
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|
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/* Print out shuffled value */ |
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static void |
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print_shuf(long *n, long aval) |
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{ |
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int i; |
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|
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for (i = 0; n[i+1]; i++) { |
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printf("\t%ld", aval % n[i]); |
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aval /= n[i]; |
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} |
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printf("\t%ld\n", aval); |
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} |
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|
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|
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/* Allocate and prepare occupancy tree */ |
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static uby8 * |
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tree_alloc(long alen) |
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{ |
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uby8 *troot; |
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double bytes_per_bit; |
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int i; |
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int ht = 0; |
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+ |
/* how tall does our tree need to be? */ |
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+ |
while (tree_br[ht].capacity*BRORDER < alen) |
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if (++ht >= NLEVELS) { |
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+ |
fputs("Array too large to shuffle\n", stderr); |
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+ |
exit(1); |
| 119 |
+ |
} |
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+ |
bytes_per_bit = 1.; /* figure out tree size (with overhead) */ |
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+ |
for (i = ht; i >= 0; i--) |
| 122 |
+ |
bytes_per_bit += (double)tree_br[i].cntr_siz; |
| 123 |
+ |
bytes_per_bit += (double)tree_br[ht].skip_bytes; |
| 124 |
+ |
bytes_per_bit /= (double)tree_br[ht].capacity; |
| 125 |
+ |
troot = (uby8 *)calloc((long)(alen*bytes_per_bit)+2, 1); |
| 126 |
+ |
if (troot == NULL) { |
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+ |
fputs("Not enough memory for shuffle\n", stderr); |
| 128 |
+ |
exit(1); |
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+ |
} |
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+ |
*troot = ht; /* first byte is tree height */ |
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+ |
for (i = 256; i--; ) { /* assign 0-bit count table */ |
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+ |
int b; |
| 133 |
+ |
buf[i] = 8; |
| 134 |
+ |
for (b = i; b; b >>= 1) |
| 135 |
+ |
buf[i] -= b&1; |
| 136 |
+ |
} |
| 137 |
+ |
return(troot); |
| 138 |
+ |
} |
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+ |
|
| 140 |
+ |
|
| 141 |
+ |
/* Get number of slots available at this branch location */ |
| 142 |
+ |
static long |
| 143 |
+ |
get_avail(const uby8 *ctrp, int lvl) |
| 144 |
+ |
{ |
| 145 |
+ |
long cnt = 0; |
| 146 |
+ |
int n = tree_br[lvl].cntr_siz; |
| 147 |
+ |
|
| 148 |
+ |
while (--n > 0) { /* LSB first */ |
| 149 |
+ |
cnt |= ctrp[n]; |
| 150 |
+ |
cnt <<= 8; |
| 151 |
+ |
} |
| 152 |
+ |
cnt |= ctrp[0]; |
| 153 |
+ |
|
| 154 |
+ |
return(tree_br[lvl].capacity - cnt); |
| 155 |
+ |
} |
| 156 |
+ |
|
| 157 |
+ |
|
| 158 |
+ |
/* Increment branch occupancy counter */ |
| 159 |
+ |
static void |
| 160 |
+ |
incr_counter(uby8 *ctrp, int n) |
| 161 |
+ |
{ |
| 162 |
+ |
n = tree_br[n].cntr_siz; |
| 163 |
+ |
|
| 164 |
+ |
while (++(*ctrp++)) /* LSB first */ |
| 165 |
+ |
if (--n <= 0) { |
| 166 |
+ |
fputs("Shuffle occupancy overflow!\n", stderr); |
| 167 |
+ |
exit(1); /* means we sized something wrong */ |
| 168 |
+ |
} |
| 169 |
+ |
} |
| 170 |
+ |
|
| 171 |
+ |
|
| 172 |
+ |
/* Skip to and allocate a leaf from tree */ |
| 173 |
+ |
static long |
| 174 |
+ |
eat_nth_leaf(uby8 *brp, long ski) |
| 175 |
+ |
{ |
| 176 |
+ |
int lvl = *brp++; /* tree height in first byte */ |
| 177 |
+ |
long pos = 0; |
| 178 |
+ |
int b; |
| 179 |
+ |
|
| 180 |
+ |
while (lvl >= 0) { /* descend to leaves */ |
| 181 |
+ |
long navail; |
| 182 |
+ |
b = 0; /* select each branch */ |
| 183 |
+ |
while (ski >= (navail = get_avail(brp, lvl))) { |
| 184 |
+ |
if (++b >= BRORDER) { |
| 185 |
+ |
fputs("Shuffle tree error!\n", stderr); |
| 186 |
+ |
exit(1); |
| 187 |
+ |
} |
| 188 |
+ |
pos += tree_br[lvl].capacity; |
| 189 |
+ |
ski -= navail; |
| 190 |
+ |
brp += tree_br[lvl].skip_bytes; |
| 191 |
+ |
} |
| 192 |
+ |
incr_counter(brp, lvl); /* we intend to eat one */ |
| 193 |
+ |
brp += tree_br[lvl--].cntr_siz; /* drop a level */ |
| 194 |
+ |
} |
| 195 |
+ |
while (ski >= buf[*brp]) { /* browse the leaves */ |
| 196 |
+ |
pos += 8; |
| 197 |
+ |
ski -= buf[*brp++]; /* buf contains 0-bit counts */ |
| 198 |
+ |
} |
| 199 |
+ |
b = 0; /* find target bit in byte */ |
| 200 |
+ |
while ((ski -= !(*brp & 1<<b)) >= 0) { |
| 201 |
+ |
pos++; |
| 202 |
+ |
b++; |
| 203 |
+ |
} |
| 204 |
+ |
*brp |= 1<<b; /* eat it */ |
| 205 |
+ |
return(pos); /* & return leaf's slot# */ |
| 206 |
+ |
} |
| 207 |
+ |
|
| 208 |
+ |
|
| 209 |
+ |
/* Shuffle all possible output strings and spit out randomly (tree version) */ |
| 210 |
+ |
static void |
| 211 |
+ |
big_shuffle(long *n, long alen) |
| 212 |
+ |
{ |
| 213 |
+ |
uby8 *tree_root; |
| 214 |
+ |
/* size and allocate holder tree */ |
| 215 |
+ |
tree_root = tree_alloc(alen); |
| 216 |
+ |
|
| 217 |
+ |
while (alen > 0) /* allocate and print random array entries */ |
| 218 |
+ |
print_shuf(n, eat_nth_leaf(tree_root, irandom(alen--))); |
| 219 |
+ |
|
| 220 |
+ |
free(tree_root); /* all done */ |
| 221 |
+ |
} |
| 222 |
+ |
|
| 223 |
+ |
|
| 224 |
|
/* Shuffle all possible output strings and spit out randomly */ |
| 225 |
|
static void |
| 226 |
< |
shuffle( |
| 74 |
< |
int *n |
| 75 |
< |
) |
| 226 |
> |
shuffle(long *n) |
| 227 |
|
{ |
| 228 |
< |
int sub[MAXDIM]; |
| 229 |
< |
int ndim; |
| 230 |
< |
int alen; |
| 80 |
< |
int *myshuf; |
| 81 |
< |
int i, j; |
| 228 |
> |
long alen; |
| 229 |
> |
uint16 *myshuf; |
| 230 |
> |
int i; |
| 231 |
|
|
| 232 |
< |
alen = 1; /* allocate shuffle index array */ |
| 233 |
< |
for (j = 0; n[j]; j++) |
| 234 |
< |
if ((alen *= n[j]) < 0) |
| 232 |
> |
alen = 1; /* compute shuffle size */ |
| 233 |
> |
for (i = 0; n[i]; i++) { |
| 234 |
> |
if (alen*n[i] <= alen) { |
| 235 |
> |
fputs("Array too large to count!\n", stderr); |
| 236 |
|
exit(1); |
| 237 |
+ |
} |
| 238 |
+ |
alen *= n[i]; |
| 239 |
+ |
} |
| 240 |
+ |
/* get unique starting point */ |
| 241 |
+ |
srandom((long)time(0)); |
| 242 |
|
|
| 243 |
< |
myshuf = (int *)malloc(alen*sizeof(int)); |
| 243 |
> |
if (alen > 1L<<16) { /* use large shuffle method? */ |
| 244 |
> |
big_shuffle(n, alen); |
| 245 |
> |
return; |
| 246 |
> |
} |
| 247 |
> |
myshuf = (uint16 *)malloc(alen*sizeof(uint16)); |
| 248 |
|
if (myshuf == NULL) { |
| 249 |
|
fputs("Insufficient memory for shuffle\n", stderr); |
| 250 |
|
exit(1); |
| 251 |
|
} |
| 252 |
|
for (i = alen; i--; ) /* initialize in any order */ |
| 253 |
|
myshuf[i] = i; |
| 95 |
– |
/* get unique starting point */ |
| 96 |
– |
srandom((long)time(0)); |
| 254 |
|
/* perform Fisher-Yates shuffle */ |
| 255 |
|
for (i = 0; i < alen-1; i++) { |
| 256 |
< |
int ix = random()%(alen-i) + i; |
| 256 |
> |
int ix = irandom(alen-i) + i; |
| 257 |
|
int ndx = myshuf[i]; |
| 258 |
|
myshuf[i] = myshuf[ix]; |
| 259 |
|
myshuf[ix] = ndx; |
| 260 |
|
} |
| 261 |
|
/* put randomly indexed output */ |
| 262 |
< |
for (i = alen; i--; ) { |
| 263 |
< |
int aval = myshuf[i]; |
| 264 |
< |
for (j = 0; n[j+1]; j++) { |
| 265 |
< |
printf("\t%d", aval % n[j]); |
| 109 |
< |
aval /= n[j]; |
| 110 |
< |
} |
| 111 |
< |
printf("\t%d\n", aval); |
| 112 |
< |
} |
| 113 |
< |
free(myshuf); |
| 262 |
> |
for (i = alen; i--; ) |
| 263 |
> |
print_shuf(n, (long)myshuf[i]); |
| 264 |
> |
|
| 265 |
> |
free(myshuf); /* all done */ |
| 266 |
|
} |
| 267 |
|
|
| 268 |
|
|
| 269 |
|
int |
| 270 |
< |
main( |
| 119 |
< |
int argc, |
| 120 |
< |
char *argv[] |
| 121 |
< |
) |
| 270 |
> |
main(int argc, char *argv[]) |
| 271 |
|
{ |
| 272 |
|
char *prog = argv[0]; |
| 273 |
|
int doshuffle = 0; |
| 274 |
< |
int n[MAXDIM]; |
| 274 |
> |
long n[MAXDIM]; |
| 275 |
|
int a; |
| 276 |
|
|
| 277 |
|
argv++; argc--; |
| 282 |
|
argv++; argc--; |
| 283 |
|
} |
| 284 |
|
for (a = 0; a < argc; a++) |
| 285 |
< |
if ((n[a] = atoi(argv[a])) <= 1) |
| 285 |
> |
if ((n[a] = atol(argv[a])) <= 1) |
| 286 |
|
goto userr; |
| 287 |
|
n[a] = 0; |
| 288 |
|
if (!a) |