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
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
|
/*************************************************************************/
/* hashfuncs.h */
/*************************************************************************/
/* This file is part of: */
/* GODOT ENGINE */
/* https://godotengine.org */
/*************************************************************************/
/* Copyright (c) 2007-2022 Juan Linietsky, Ariel Manzur. */
/* Copyright (c) 2014-2022 Godot Engine contributors (cf. AUTHORS.md). */
/* */
/* Permission is hereby granted, free of charge, to any person obtaining */
/* a copy of this software and associated documentation files (the */
/* "Software"), to deal in the Software without restriction, including */
/* without limitation the rights to use, copy, modify, merge, publish, */
/* distribute, sublicense, and/or sell copies of the Software, and to */
/* permit persons to whom the Software is furnished to do so, subject to */
/* the following conditions: */
/* */
/* The above copyright notice and this permission notice shall be */
/* included in all copies or substantial portions of the Software. */
/* */
/* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, */
/* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF */
/* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.*/
/* IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY */
/* CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, */
/* TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE */
/* SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. */
/*************************************************************************/
#ifndef HASHFUNCS_H
#define HASHFUNCS_H
#include "core/math/aabb.h"
#include "core/math/math_defs.h"
#include "core/math/math_funcs.h"
#include "core/math/rect2.h"
#include "core/math/rect2i.h"
#include "core/math/vector2.h"
#include "core/math/vector2i.h"
#include "core/math/vector3.h"
#include "core/math/vector3i.h"
#include "core/math/vector4.h"
#include "core/math/vector4i.h"
#include "core/object/object_id.h"
#include "core/string/node_path.h"
#include "core/string/string_name.h"
#include "core/string/ustring.h"
#include "core/templates/rid.h"
#include "core/typedefs.h"
/**
* Hashing functions
*/
/**
* DJB2 Hash function
* @param C String
* @return 32-bits hashcode
*/
static _FORCE_INLINE_ uint32_t hash_djb2(const char *p_cstr) {
const unsigned char *chr = (const unsigned char *)p_cstr;
uint32_t hash = 5381;
uint32_t c = *chr++;
while (c) {
hash = ((hash << 5) + hash) ^ c; /* hash * 33 ^ c */
c = *chr++;
}
return hash;
}
static _FORCE_INLINE_ uint32_t hash_djb2_buffer(const uint8_t *p_buff, int p_len, uint32_t p_prev = 5381) {
uint32_t hash = p_prev;
for (int i = 0; i < p_len; i++) {
hash = ((hash << 5) + hash) ^ p_buff[i]; /* hash * 33 + c */
}
return hash;
}
static _FORCE_INLINE_ uint32_t hash_djb2_one_32(uint32_t p_in, uint32_t p_prev = 5381) {
return ((p_prev << 5) + p_prev) ^ p_in;
}
/**
* Thomas Wang's 64-bit to 32-bit Hash function:
* https://web.archive.org/web/20071223173210/https:/www.concentric.net/~Ttwang/tech/inthash.htm
*
* @param p_int - 64-bit unsigned integer key to be hashed
* @return unsigned 32-bit value representing hashcode
*/
static _FORCE_INLINE_ uint32_t hash_one_uint64(const uint64_t p_int) {
uint64_t v = p_int;
v = (~v) + (v << 18); // v = (v << 18) - v - 1;
v = v ^ (v >> 31);
v = v * 21; // v = (v + (v << 2)) + (v << 4);
v = v ^ (v >> 11);
v = v + (v << 6);
v = v ^ (v >> 22);
return uint32_t(v);
}
#define HASH_MURMUR3_SEED 0x7F07C65
// Murmurhash3 32-bit version.
// All MurmurHash versions are public domain software, and the author disclaims all copyright to their code.
static _FORCE_INLINE_ uint32_t hash_murmur3_one_32(uint32_t p_in, uint32_t p_seed = HASH_MURMUR3_SEED) {
p_in *= 0xcc9e2d51;
p_in = (p_in << 15) | (p_in >> 17);
p_in *= 0x1b873593;
p_seed ^= p_in;
p_seed = (p_seed << 13) | (p_seed >> 19);
p_seed = p_seed * 5 + 0xe6546b64;
return p_seed;
}
static _FORCE_INLINE_ uint32_t hash_murmur3_one_float(float p_in, uint32_t p_seed = HASH_MURMUR3_SEED) {
union {
float f;
uint32_t i;
} u;
// Normalize +/- 0.0 and NaN values so they hash the same.
if (p_in == 0.0f) {
u.f = 0.0;
} else if (Math::is_nan(p_in)) {
u.f = NAN;
} else {
u.f = p_in;
}
return hash_murmur3_one_32(u.i, p_seed);
}
static _FORCE_INLINE_ uint32_t hash_murmur3_one_64(uint64_t p_in, uint32_t p_seed = HASH_MURMUR3_SEED) {
p_seed = hash_murmur3_one_32(p_in & 0xFFFFFFFF, p_seed);
return hash_murmur3_one_32(p_in >> 32, p_seed);
}
static _FORCE_INLINE_ uint32_t hash_murmur3_one_double(double p_in, uint32_t p_seed = HASH_MURMUR3_SEED) {
union {
double d;
uint64_t i;
} u;
// Normalize +/- 0.0 and NaN values so they hash the same.
if (p_in == 0.0f) {
u.d = 0.0;
} else if (Math::is_nan(p_in)) {
u.d = NAN;
} else {
u.d = p_in;
}
return hash_murmur3_one_64(u.i, p_seed);
}
static _FORCE_INLINE_ uint32_t hash_murmur3_one_real(real_t p_in, uint32_t p_seed = HASH_MURMUR3_SEED) {
#ifdef REAL_T_IS_DOUBLE
return hash_murmur3_one_double(p_in, p_seed);
#else
return hash_murmur3_one_float(p_in, p_seed);
#endif
}
static _FORCE_INLINE_ uint32_t hash_rotl32(uint32_t x, int8_t r) {
return (x << r) | (x >> (32 - r));
}
static _FORCE_INLINE_ uint32_t hash_fmix32(uint32_t h) {
h ^= h >> 16;
h *= 0x85ebca6b;
h ^= h >> 13;
h *= 0xc2b2ae35;
h ^= h >> 16;
return h;
}
static _FORCE_INLINE_ uint32_t hash_murmur3_buffer(const void *key, int length, const uint32_t seed = HASH_MURMUR3_SEED) {
// Although not required, this is a random prime number.
const uint8_t *data = (const uint8_t *)key;
const int nblocks = length / 4;
uint32_t h1 = seed;
const uint32_t c1 = 0xcc9e2d51;
const uint32_t c2 = 0x1b873593;
const uint32_t *blocks = (const uint32_t *)(data + nblocks * 4);
for (int i = -nblocks; i; i++) {
uint32_t k1 = blocks[i];
k1 *= c1;
k1 = hash_rotl32(k1, 15);
k1 *= c2;
h1 ^= k1;
h1 = hash_rotl32(h1, 13);
h1 = h1 * 5 + 0xe6546b64;
}
const uint8_t *tail = (const uint8_t *)(data + nblocks * 4);
uint32_t k1 = 0;
switch (length & 3) {
case 3:
k1 ^= tail[2] << 16;
[[fallthrough]];
case 2:
k1 ^= tail[1] << 8;
[[fallthrough]];
case 1:
k1 ^= tail[0];
k1 *= c1;
k1 = hash_rotl32(k1, 15);
k1 *= c2;
h1 ^= k1;
};
// Finalize with additional bit mixing.
h1 ^= length;
return hash_fmix32(h1);
}
static _FORCE_INLINE_ uint32_t hash_djb2_one_float(double p_in, uint32_t p_prev = 5381) {
union {
double d;
uint64_t i;
} u;
// Normalize +/- 0.0 and NaN values so they hash the same.
if (p_in == 0.0f) {
u.d = 0.0;
} else if (Math::is_nan(p_in)) {
u.d = NAN;
} else {
u.d = p_in;
}
return ((p_prev << 5) + p_prev) + hash_one_uint64(u.i);
}
template <class T>
static _FORCE_INLINE_ uint32_t hash_make_uint32_t(T p_in) {
union {
T t;
uint32_t _u32;
} _u;
_u._u32 = 0;
_u.t = p_in;
return _u._u32;
}
static _FORCE_INLINE_ uint64_t hash_djb2_one_float_64(double p_in, uint64_t p_prev = 5381) {
union {
double d;
uint64_t i;
} u;
// Normalize +/- 0.0 and NaN values so they hash the same.
if (p_in == 0.0f) {
u.d = 0.0;
} else if (Math::is_nan(p_in)) {
u.d = NAN;
} else {
u.d = p_in;
}
return ((p_prev << 5) + p_prev) + u.i;
}
static _FORCE_INLINE_ uint64_t hash_djb2_one_64(uint64_t p_in, uint64_t p_prev = 5381) {
return ((p_prev << 5) + p_prev) ^ p_in;
}
template <class T>
static _FORCE_INLINE_ uint64_t hash_make_uint64_t(T p_in) {
union {
T t;
uint64_t _u64;
} _u;
_u._u64 = 0; // in case p_in is smaller
_u.t = p_in;
return _u._u64;
}
template <class T>
class Ref;
struct HashMapHasherDefault {
// Generic hash function for any type.
template <class T>
static _FORCE_INLINE_ uint32_t hash(const T *p_pointer) { return hash_one_uint64((uint64_t)p_pointer); }
template <class T>
static _FORCE_INLINE_ uint32_t hash(const Ref<T> &p_ref) { return hash_one_uint64((uint64_t)p_ref.operator->()); }
static _FORCE_INLINE_ uint32_t hash(const String &p_string) { return p_string.hash(); }
static _FORCE_INLINE_ uint32_t hash(const char *p_cstr) { return hash_djb2(p_cstr); }
static _FORCE_INLINE_ uint32_t hash(const wchar_t p_wchar) { return hash_fmix32(p_wchar); }
static _FORCE_INLINE_ uint32_t hash(const char16_t p_uchar) { return hash_fmix32(p_uchar); }
static _FORCE_INLINE_ uint32_t hash(const char32_t p_uchar) { return hash_fmix32(p_uchar); }
static _FORCE_INLINE_ uint32_t hash(const RID &p_rid) { return hash_one_uint64(p_rid.get_id()); }
static _FORCE_INLINE_ uint32_t hash(const StringName &p_string_name) { return p_string_name.hash(); }
static _FORCE_INLINE_ uint32_t hash(const NodePath &p_path) { return p_path.hash(); }
static _FORCE_INLINE_ uint32_t hash(const ObjectID &p_id) { return hash_one_uint64(p_id); }
static _FORCE_INLINE_ uint32_t hash(const uint64_t p_int) { return hash_one_uint64(p_int); }
static _FORCE_INLINE_ uint32_t hash(const int64_t p_int) { return hash_one_uint64(p_int); }
static _FORCE_INLINE_ uint32_t hash(const float p_float) { return hash_murmur3_one_float(p_float); }
static _FORCE_INLINE_ uint32_t hash(const double p_double) { return hash_murmur3_one_double(p_double); }
static _FORCE_INLINE_ uint32_t hash(const uint32_t p_int) { return hash_fmix32(p_int); }
static _FORCE_INLINE_ uint32_t hash(const int32_t p_int) { return hash_fmix32(p_int); }
static _FORCE_INLINE_ uint32_t hash(const uint16_t p_int) { return hash_fmix32(p_int); }
static _FORCE_INLINE_ uint32_t hash(const int16_t p_int) { return hash_fmix32(p_int); }
static _FORCE_INLINE_ uint32_t hash(const uint8_t p_int) { return hash_fmix32(p_int); }
static _FORCE_INLINE_ uint32_t hash(const int8_t p_int) { return hash_fmix32(p_int); }
static _FORCE_INLINE_ uint32_t hash(const Vector2i &p_vec) {
uint32_t h = hash_murmur3_one_32(p_vec.x);
h = hash_murmur3_one_32(p_vec.y, h);
return hash_fmix32(h);
}
static _FORCE_INLINE_ uint32_t hash(const Vector3i &p_vec) {
uint32_t h = hash_murmur3_one_32(p_vec.x);
h = hash_murmur3_one_32(p_vec.y, h);
h = hash_murmur3_one_32(p_vec.z, h);
return hash_fmix32(h);
}
static _FORCE_INLINE_ uint32_t hash(const Vector4i &p_vec) {
uint32_t h = hash_murmur3_one_32(p_vec.x);
h = hash_murmur3_one_32(p_vec.y, h);
h = hash_murmur3_one_32(p_vec.z, h);
h = hash_murmur3_one_32(p_vec.w, h);
return hash_fmix32(h);
}
static _FORCE_INLINE_ uint32_t hash(const Vector2 &p_vec) {
uint32_t h = hash_murmur3_one_real(p_vec.x);
h = hash_murmur3_one_real(p_vec.y, h);
return hash_fmix32(h);
}
static _FORCE_INLINE_ uint32_t hash(const Vector3 &p_vec) {
uint32_t h = hash_murmur3_one_real(p_vec.x);
h = hash_murmur3_one_real(p_vec.y, h);
h = hash_murmur3_one_real(p_vec.z, h);
return hash_fmix32(h);
}
static _FORCE_INLINE_ uint32_t hash(const Vector4 &p_vec) {
uint32_t h = hash_murmur3_one_real(p_vec.x);
h = hash_murmur3_one_real(p_vec.y, h);
h = hash_murmur3_one_real(p_vec.z, h);
h = hash_murmur3_one_real(p_vec.w, h);
return hash_fmix32(h);
}
static _FORCE_INLINE_ uint32_t hash(const Rect2i &p_rect) {
uint32_t h = hash_murmur3_one_32(p_rect.position.x);
h = hash_murmur3_one_32(p_rect.position.y, h);
h = hash_murmur3_one_32(p_rect.size.x, h);
h = hash_murmur3_one_32(p_rect.size.y, h);
return hash_fmix32(h);
}
static _FORCE_INLINE_ uint32_t hash(const Rect2 &p_rect) {
uint32_t h = hash_murmur3_one_real(p_rect.position.x);
h = hash_murmur3_one_real(p_rect.position.y, h);
h = hash_murmur3_one_real(p_rect.size.x, h);
h = hash_murmur3_one_real(p_rect.size.y, h);
return hash_fmix32(h);
}
static _FORCE_INLINE_ uint32_t hash(const AABB &p_aabb) {
uint32_t h = hash_murmur3_one_real(p_aabb.position.x);
h = hash_murmur3_one_real(p_aabb.position.y, h);
h = hash_murmur3_one_real(p_aabb.position.z, h);
h = hash_murmur3_one_real(p_aabb.size.x, h);
h = hash_murmur3_one_real(p_aabb.size.y, h);
h = hash_murmur3_one_real(p_aabb.size.z, h);
return hash_fmix32(h);
}
};
template <typename T>
struct HashMapComparatorDefault {
static bool compare(const T &p_lhs, const T &p_rhs) {
return p_lhs == p_rhs;
}
};
template <>
struct HashMapComparatorDefault<float> {
static bool compare(const float &p_lhs, const float &p_rhs) {
return (p_lhs == p_rhs) || (Math::is_nan(p_lhs) && Math::is_nan(p_rhs));
}
};
template <>
struct HashMapComparatorDefault<double> {
static bool compare(const double &p_lhs, const double &p_rhs) {
return (p_lhs == p_rhs) || (Math::is_nan(p_lhs) && Math::is_nan(p_rhs));
}
};
template <>
struct HashMapComparatorDefault<Vector2> {
static bool compare(const Vector2 &p_lhs, const Vector2 &p_rhs) {
return ((p_lhs.x == p_rhs.x) || (Math::is_nan(p_lhs.x) && Math::is_nan(p_rhs.x))) && ((p_lhs.y == p_rhs.y) || (Math::is_nan(p_lhs.y) && Math::is_nan(p_rhs.y)));
}
};
template <>
struct HashMapComparatorDefault<Vector3> {
static bool compare(const Vector3 &p_lhs, const Vector3 &p_rhs) {
return ((p_lhs.x == p_rhs.x) || (Math::is_nan(p_lhs.x) && Math::is_nan(p_rhs.x))) && ((p_lhs.y == p_rhs.y) || (Math::is_nan(p_lhs.y) && Math::is_nan(p_rhs.y))) && ((p_lhs.z == p_rhs.z) || (Math::is_nan(p_lhs.z) && Math::is_nan(p_rhs.z)));
}
};
constexpr uint32_t HASH_TABLE_SIZE_MAX = 29;
const uint32_t hash_table_size_primes[HASH_TABLE_SIZE_MAX] = {
5,
13,
23,
47,
97,
193,
389,
769,
1543,
3079,
6151,
12289,
24593,
49157,
98317,
196613,
393241,
786433,
1572869,
3145739,
6291469,
12582917,
25165843,
50331653,
100663319,
201326611,
402653189,
805306457,
1610612741,
};
// Computed with elem_i = UINT64_C (0 x FFFFFFFF FFFFFFFF ) / d_i + 1, where d_i is the i-th element of the above array.
const uint64_t hash_table_size_primes_inv[HASH_TABLE_SIZE_MAX] = {
3689348814741910324,
1418980313362273202,
802032351030850071,
392483916461905354,
190172619316593316,
95578984837873325,
47420935922132524,
23987963684927896,
11955116055547344,
5991147799191151,
2998982941588287,
1501077717772769,
750081082979285,
375261795343686,
187625172388393,
93822606204624,
46909513691883,
23456218233098,
11728086747027,
5864041509391,
2932024948977,
1466014921160,
733007198436,
366503839517,
183251896093,
91625960335,
45812983922,
22906489714,
11453246088
};
/**
* Fastmod computes ( n mod d ) given the precomputed c much faster than n % d.
* The implementation of fastmod is based on the following paper by Daniel Lemire et al.
* Faster Remainder by Direct Computation: Applications to Compilers and Software Libraries
* https://arxiv.org/abs/1902.01961
*/
static _FORCE_INLINE_ uint32_t fastmod(const uint32_t n, const uint64_t c, const uint32_t d) {
#if defined(_MSC_VER)
// Returns the upper 64 bits of the product of two 64-bit unsigned integers.
// This intrinsic function is required since MSVC does not support unsigned 128-bit integers.
#if defined(_M_X64) || defined(_M_ARM64)
return __umulh(c * n, d);
#else
// Fallback to the slower method for 32-bit platforms.
return n % d;
#endif // _M_X64 || _M_ARM64
#else
#ifdef __SIZEOF_INT128__
// Prevent compiler warning, because we know what we are doing.
uint64_t lowbits = c * n;
__extension__ typedef unsigned __int128 uint128;
return static_cast<uint64_t>(((uint128)lowbits * d) >> 64);
#else
// Fallback to the slower method if no 128-bit unsigned integer type is available.
return n % d;
#endif // __SIZEOF_INT128__
#endif // _MSC_VER
}
#endif // HASHFUNCS_H
|