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1 /*
2 * Round a number upwards to a prime (not usually the nearest one).
3 *
4 * Uses a table of successive 32-bit primes whose ratio is roughly
5 * constant. This keeps the relative upwards 'rounding error' bounded
6 * and the data size small. A simple 'predict-correct' compression is
7 * used to compress primes to one byte per prime. See genhashsizes.py
8 * for details.
9 *
10 * The minimum prime returned here must be coordinated with the possible
11 * probe sequence steps in duk_hobject and duk_heap stringtable.
12 */
13
14 #include "duk_internal.h"
15
16 /* Awkward inclusion condition: drop out of compilation if not needed by any
17 * call site: object hash part or probing stringtable.
18 */
19 #if defined(DUK_USE_HOBJECT_HASH_PART) || defined(DUK_USE_STRTAB_PROBE)
20
21 /* hash size ratio goal, must match genhashsizes.py */
22 #define DUK__HASH_SIZE_RATIO 1177 /* floor(1.15 * (1 << 10)) */
23
24 /* prediction corrections for prime list (see genhashsizes.py) */
25 DUK_LOCAL const duk_int8_t duk__hash_size_corrections[] = {
26 17, /* minimum prime */
27 4, 3, 4, 1, 4, 1, 1, 2, 2, 2, 2, 1, 6, 6, 9, 5, 1, 2, 2, 5, 1, 3, 3, 3,
28 5, 4, 4, 2, 4, 8, 3, 4, 23, 2, 4, 7, 8, 11, 2, 12, 15, 10, 1, 1, 5, 1, 5,
29 8, 9, 17, 14, 10, 7, 5, 2, 46, 21, 1, 9, 9, 4, 4, 10, 23, 36, 6, 20, 29,
30 18, 6, 19, 21, 16, 11, 5, 5, 48, 9, 1, 39, 14, 8, 4, 29, 9, 1, 15, 48, 12,
31 22, 6, 15, 27, 4, 2, 17, 28, 8, 9, 4, 5, 8, 3, 3, 8, 37, 11, 15, 8, 30,
32 43, 6, 33, 41, 5, 20, 32, 41, 38, 24, 77, 14, 19, 11, 4, 35, 18, 19, 41,
33 10, 23, 16, 9, 2,
34 -1
35 };
36
37 /* probe steps (see genhashsizes.py), currently assumed to be 32 entries long
38 * (DUK_UTIL_GET_HASH_PROBE_STEP macro).
39 */
40 DUK_INTERNAL duk_uint8_t duk_util_probe_steps[32] = {
41 2, 3, 5, 7, 11, 13, 19, 31, 41, 47, 59, 67, 73, 79, 89, 101, 103, 107,
42 109, 127, 137, 139, 149, 157, 163, 167, 173, 181, 191, 193, 197, 199
43 };
44
45 DUK_INTERNAL duk_uint32_t duk_util_get_hash_prime(duk_uint32_t size) {
46 const duk_int8_t *p = duk__hash_size_corrections;
47 duk_uint32_t curr;
48
49 curr = (duk_uint32_t) *p++;
50 for (;;) {
51 duk_small_int_t t = (duk_small_int_t) *p++;
52 if (t < 0) {
53 /* may happen if size is very close to 2^32-1 */
54 break;
55 }
56
57 /* prediction: portable variant using doubles if 64-bit values not available */
58 #ifdef DUK_USE_64BIT_OPS
59 curr = (duk_uint32_t) ((((duk_uint64_t) curr) * ((duk_uint64_t) DUK__HASH_SIZE_RATIO)) >> 10);
60 #else
61 /* 32-bit x 11-bit = 43-bit, fits accurately into a double */
62 curr = (duk_uint32_t) DUK_FLOOR(((double) curr) * ((double) DUK__HASH_SIZE_RATIO) / 1024.0);
63 #endif
64
65 /* correction */
66 curr += t;
67
68 DUK_DDD(DUK_DDDPRINT("size=%ld, curr=%ld", (long) size, (long) curr));
69
70 if (curr >= size) {
71 return curr;
72 }
73 }
74 return 0;
75 }
76
77 #endif /* DUK_USE_HOBJECT_HASH_PART || DUK_USE_STRTAB_PROBE */