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@ -31,6 +31,11 @@
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#ifndef HASHFUNCS_HPP
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#define HASHFUNCS_HPP
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// Needed for fastmod.
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#if defined(_MSC_VER)
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#include <intrin.h>
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#endif
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#include <godot_cpp/core/math.hpp>
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#include <godot_cpp/core/object.hpp>
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#include <godot_cpp/variant/aabb.hpp>
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@ -59,30 +64,30 @@ namespace godot {
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* @param C String
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* @return 32-bits hashcode
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*/
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static inline uint32_t hash_djb2(const char *p_cstr) {
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static _FORCE_INLINE_ uint32_t hash_djb2(const char *p_cstr) {
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const unsigned char *chr = (const unsigned char *)p_cstr;
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uint32_t hash = 5381;
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uint32_t c;
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while ((c = *chr++)) {
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hash = ((hash << 5) + hash) + c; /* hash * 33 + c */
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hash = ((hash << 5) + hash) ^ c; /* hash * 33 ^ c */
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}
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return hash;
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}
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static inline uint32_t hash_djb2_buffer(const uint8_t *p_buff, int p_len, uint32_t p_prev = 5381) {
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static _FORCE_INLINE_ uint32_t hash_djb2_buffer(const uint8_t *p_buff, int p_len, uint32_t p_prev = 5381) {
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uint32_t hash = p_prev;
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for (int i = 0; i < p_len; i++) {
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hash = ((hash << 5) + hash) + p_buff[i]; /* hash * 33 + c */
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hash = ((hash << 5) + hash) ^ p_buff[i]; /* hash * 33 + c */
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}
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return hash;
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}
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static inline uint32_t hash_djb2_one_32(uint32_t p_in, uint32_t p_prev = 5381) {
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return ((p_prev << 5) + p_prev) + p_in;
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static _FORCE_INLINE_ uint32_t hash_djb2_one_32(uint32_t p_in, uint32_t p_prev = 5381) {
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return ((p_prev << 5) + p_prev) ^ p_in;
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}
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/**
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@ -92,7 +97,7 @@ static inline uint32_t hash_djb2_one_32(uint32_t p_in, uint32_t p_prev = 5381) {
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* @param p_int - 64-bit unsigned integer key to be hashed
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* @return unsigned 32-bit value representing hashcode
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*/
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static inline uint32_t hash_one_uint64(const uint64_t p_int) {
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static _FORCE_INLINE_ uint32_t hash_one_uint64(const uint64_t p_int) {
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uint64_t v = p_int;
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v = (~v) + (v << 18); // v = (v << 18) - v - 1;
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v = v ^ (v >> 31);
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@ -103,7 +108,46 @@ static inline uint32_t hash_one_uint64(const uint64_t p_int) {
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return uint32_t(v);
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}
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static inline uint32_t hash_djb2_one_float(double p_in, uint32_t p_prev = 5381) {
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#define HASH_MURMUR3_SEED 0x7F07C65
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// Murmurhash3 32-bit version.
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// All MurmurHash versions are public domain software, and the author disclaims all copyright to their code.
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static _FORCE_INLINE_ uint32_t hash_murmur3_one_32(uint32_t p_in, uint32_t p_seed = HASH_MURMUR3_SEED) {
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p_in *= 0xcc9e2d51;
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p_in = (p_in << 15) | (p_in >> 17);
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p_in *= 0x1b873593;
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p_seed ^= p_in;
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p_seed = (p_seed << 13) | (p_seed >> 19);
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p_seed = p_seed * 5 + 0xe6546b64;
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return p_seed;
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}
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static _FORCE_INLINE_ uint32_t hash_murmur3_one_float(float p_in, uint32_t p_seed = HASH_MURMUR3_SEED) {
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union {
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float f;
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uint32_t i;
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} u;
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// Normalize +/- 0.0 and NaN values so they hash the same.
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if (p_in == 0.0f) {
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u.f = 0.0;
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} else if (Math::is_nan(p_in)) {
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u.f = NAN;
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} else {
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u.f = p_in;
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}
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return hash_murmur3_one_32(u.i, p_seed);
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}
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static _FORCE_INLINE_ uint32_t hash_murmur3_one_64(uint64_t p_in, uint32_t p_seed = HASH_MURMUR3_SEED) {
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p_seed = hash_murmur3_one_32(p_in & 0xFFFFFFFF, p_seed);
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return hash_murmur3_one_32(p_in >> 32, p_seed);
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}
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static _FORCE_INLINE_ uint32_t hash_murmur3_one_double(double p_in, uint32_t p_seed = HASH_MURMUR3_SEED) {
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union {
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double d;
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uint64_t i;
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@ -112,7 +156,95 @@ static inline uint32_t hash_djb2_one_float(double p_in, uint32_t p_prev = 5381)
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// Normalize +/- 0.0 and NaN values so they hash the same.
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if (p_in == 0.0f) {
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u.d = 0.0;
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} else if (std::isnan(p_in)) {
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} else if (Math::is_nan(p_in)) {
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u.d = NAN;
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} else {
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u.d = p_in;
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}
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return hash_murmur3_one_64(u.i, p_seed);
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}
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static _FORCE_INLINE_ uint32_t hash_murmur3_one_real(real_t p_in, uint32_t p_seed = HASH_MURMUR3_SEED) {
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#ifdef REAL_T_IS_DOUBLE
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return hash_murmur3_one_double(p_in, p_seed);
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#else
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return hash_murmur3_one_float(p_in, p_seed);
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#endif
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}
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static _FORCE_INLINE_ uint32_t hash_rotl32(uint32_t x, int8_t r) {
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return (x << r) | (x >> (32 - r));
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}
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static _FORCE_INLINE_ uint32_t hash_fmix32(uint32_t h) {
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h ^= h >> 16;
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h *= 0x85ebca6b;
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h ^= h >> 13;
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h *= 0xc2b2ae35;
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h ^= h >> 16;
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return h;
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}
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static _FORCE_INLINE_ uint32_t hash_murmur3_buffer(const void *key, int length, const uint32_t seed = HASH_MURMUR3_SEED) {
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// Although not required, this is a random prime number.
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const uint8_t *data = (const uint8_t *)key;
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const int nblocks = length / 4;
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uint32_t h1 = seed;
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const uint32_t c1 = 0xcc9e2d51;
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const uint32_t c2 = 0x1b873593;
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const uint32_t *blocks = (const uint32_t *)(data + nblocks * 4);
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for (int i = -nblocks; i; i++) {
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uint32_t k1 = blocks[i];
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k1 *= c1;
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k1 = hash_rotl32(k1, 15);
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k1 *= c2;
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h1 ^= k1;
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h1 = hash_rotl32(h1, 13);
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h1 = h1 * 5 + 0xe6546b64;
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}
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const uint8_t *tail = (const uint8_t *)(data + nblocks * 4);
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uint32_t k1 = 0;
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switch (length & 3) {
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case 3:
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k1 ^= tail[2] << 16;
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[[fallthrough]];
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case 2:
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k1 ^= tail[1] << 8;
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[[fallthrough]];
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case 1:
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k1 ^= tail[0];
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k1 *= c1;
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k1 = hash_rotl32(k1, 15);
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k1 *= c2;
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h1 ^= k1;
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};
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// Finalize with additional bit mixing.
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h1 ^= length;
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return hash_fmix32(h1);
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}
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static _FORCE_INLINE_ uint32_t hash_djb2_one_float(double p_in, uint32_t p_prev = 5381) {
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union {
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double d;
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uint64_t i;
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} u;
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// Normalize +/- 0.0 and NaN values so they hash the same.
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if (p_in == 0.0f) {
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u.d = 0.0;
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} else if (Math::is_nan(p_in)) {
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u.d = NAN;
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} else {
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u.d = p_in;
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@ -122,7 +254,7 @@ static inline uint32_t hash_djb2_one_float(double p_in, uint32_t p_prev = 5381)
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}
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template <class T>
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static inline uint32_t make_uint32_t(T p_in) {
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static _FORCE_INLINE_ uint32_t hash_make_uint32_t(T p_in) {
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union {
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T t;
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uint32_t _u32;
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@ -132,7 +264,7 @@ static inline uint32_t make_uint32_t(T p_in) {
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return _u._u32;
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}
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static inline uint64_t hash_djb2_one_float_64(double p_in, uint64_t p_prev = 5381) {
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static _FORCE_INLINE_ uint64_t hash_djb2_one_float_64(double p_in, uint64_t p_prev = 5381) {
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union {
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double d;
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uint64_t i;
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@ -141,7 +273,7 @@ static inline uint64_t hash_djb2_one_float_64(double p_in, uint64_t p_prev = 538
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// Normalize +/- 0.0 and NaN values so they hash the same.
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if (p_in == 0.0f) {
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u.d = 0.0;
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} else if (std::isnan(p_in)) {
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} else if (Math::is_nan(p_in)) {
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u.d = NAN;
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} else {
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u.d = p_in;
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@ -150,12 +282,12 @@ static inline uint64_t hash_djb2_one_float_64(double p_in, uint64_t p_prev = 538
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return ((p_prev << 5) + p_prev) + u.i;
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}
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static inline uint64_t hash_djb2_one_64(uint64_t p_in, uint64_t p_prev = 5381) {
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return ((p_prev << 5) + p_prev) + p_in;
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static _FORCE_INLINE_ uint64_t hash_djb2_one_64(uint64_t p_in, uint64_t p_prev = 5381) {
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return ((p_prev << 5) + p_prev) ^ p_in;
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}
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template <class T>
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static inline uint64_t make_uint64_t(T p_in) {
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static _FORCE_INLINE_ uint64_t hash_make_uint64_t(T p_in) {
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union {
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T t;
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uint64_t _u64;
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@ -170,42 +302,43 @@ template <class T>
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class Ref;
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struct HashMapHasherDefault {
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static _FORCE_INLINE_ uint32_t hash(const String &p_string) { return p_string.hash(); }
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static _FORCE_INLINE_ uint32_t hash(const char *p_cstr) { return hash_djb2(p_cstr); }
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static _FORCE_INLINE_ uint32_t hash(const uint64_t p_int) { return hash_one_uint64(p_int); }
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static _FORCE_INLINE_ uint32_t hash(const ObjectID &p_id) { return hash_one_uint64(p_id); }
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static _FORCE_INLINE_ uint32_t hash(const int64_t p_int) { return hash(uint64_t(p_int)); }
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static _FORCE_INLINE_ uint32_t hash(const float p_float) { return hash_djb2_one_float(p_float); }
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static _FORCE_INLINE_ uint32_t hash(const double p_double) { return hash_djb2_one_float(p_double); }
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static _FORCE_INLINE_ uint32_t hash(const uint32_t p_int) { return p_int; }
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static _FORCE_INLINE_ uint32_t hash(const int32_t p_int) { return (uint32_t)p_int; }
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static _FORCE_INLINE_ uint32_t hash(const uint16_t p_int) { return p_int; }
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static _FORCE_INLINE_ uint32_t hash(const int16_t p_int) { return (uint32_t)p_int; }
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static _FORCE_INLINE_ uint32_t hash(const uint8_t p_int) { return p_int; }
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static _FORCE_INLINE_ uint32_t hash(const int8_t p_int) { return (uint32_t)p_int; }
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static _FORCE_INLINE_ uint32_t hash(const wchar_t p_wchar) { return (uint32_t)p_wchar; }
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static _FORCE_INLINE_ uint32_t hash(const char16_t p_uchar) { return (uint32_t)p_uchar; }
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static _FORCE_INLINE_ uint32_t hash(const char32_t p_uchar) { return (uint32_t)p_uchar; }
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static _FORCE_INLINE_ uint32_t hash(const RID &p_rid) { return hash_one_uint64(p_rid.get_id()); }
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static _FORCE_INLINE_ uint32_t hash(const StringName &p_string_name) { return p_string_name.hash(); }
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static _FORCE_INLINE_ uint32_t hash(const NodePath &p_path) { return p_path.hash(); }
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// Generic hash function for any type.
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template <class T>
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static _FORCE_INLINE_ uint32_t hash(const T *p_pointer) { return hash_one_uint64((uint64_t)p_pointer); }
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template <class T>
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static _FORCE_INLINE_ uint32_t hash(const Ref<T> &p_ref) { return hash_one_uint64((uint64_t)p_ref.operator->()); }
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static _FORCE_INLINE_ uint32_t hash(const String &p_string) { return p_string.hash(); }
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|
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(); }
|
|
|
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|
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_djb2_one_32(p_vec.x);
|
|
|
|
|
return hash_djb2_one_32(p_vec.y, h);
|
|
|
|
|
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_djb2_one_32(p_vec.x);
|
|
|
|
|
h = hash_djb2_one_32(p_vec.y, h);
|
|
|
|
|
return hash_djb2_one_32(p_vec.z, h);
|
|
|
|
|
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);
|
|
|
|
@ -214,15 +347,16 @@ struct HashMapHasherDefault {
|
|
|
|
|
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_djb2_one_float(p_vec.x);
|
|
|
|
|
return hash_djb2_one_float(p_vec.y, h);
|
|
|
|
|
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_djb2_one_float(p_vec.x);
|
|
|
|
|
h = hash_djb2_one_float(p_vec.y, h);
|
|
|
|
|
return hash_djb2_one_float(p_vec.z, h);
|
|
|
|
|
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);
|
|
|
|
@ -231,31 +365,29 @@ struct HashMapHasherDefault {
|
|
|
|
|
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_djb2_one_32(p_rect.position.x);
|
|
|
|
|
h = hash_djb2_one_32(p_rect.position.y, h);
|
|
|
|
|
h = hash_djb2_one_32(p_rect.size.x, h);
|
|
|
|
|
return hash_djb2_one_32(p_rect.size.y, h);
|
|
|
|
|
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_djb2_one_float(p_rect.position.x);
|
|
|
|
|
h = hash_djb2_one_float(p_rect.position.y, h);
|
|
|
|
|
h = hash_djb2_one_float(p_rect.size.x, h);
|
|
|
|
|
return hash_djb2_one_float(p_rect.size.y, h);
|
|
|
|
|
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_djb2_one_float(p_aabb.position.x);
|
|
|
|
|
h = hash_djb2_one_float(p_aabb.position.y, h);
|
|
|
|
|
h = hash_djb2_one_float(p_aabb.position.z, h);
|
|
|
|
|
h = hash_djb2_one_float(p_aabb.size.x, h);
|
|
|
|
|
h = hash_djb2_one_float(p_aabb.size.y, h);
|
|
|
|
|
return hash_djb2_one_float(p_aabb.size.z, h);
|
|
|
|
|
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);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
// static _FORCE_INLINE_ uint32_t hash(const void* p_ptr) { return uint32_t(uint64_t(p_ptr))*(0x9e3779b1L); }
|
|
|
|
|
};
|
|
|
|
|
|
|
|
|
|
template <typename T>
|
|
|
|
@ -268,28 +400,28 @@ struct HashMapComparatorDefault {
|
|
|
|
|
template <>
|
|
|
|
|
struct HashMapComparatorDefault<float> {
|
|
|
|
|
static bool compare(const float &p_lhs, const float &p_rhs) {
|
|
|
|
|
return (p_lhs == p_rhs) || (std::isnan(p_lhs) && std::isnan(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) || (std::isnan(p_lhs) && std::isnan(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) || (std::isnan(p_lhs.x) && std::isnan(p_rhs.x))) && ((p_lhs.y == p_rhs.y) || (std::isnan(p_lhs.y) && std::isnan(p_rhs.y)));
|
|
|
|
|
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) || (std::isnan(p_lhs.x) && std::isnan(p_rhs.x))) && ((p_lhs.y == p_rhs.y) || (std::isnan(p_lhs.y) && std::isnan(p_rhs.y))) && ((p_lhs.z == p_rhs.z) || (std::isnan(p_lhs.z) && std::isnan(p_rhs.z)));
|
|
|
|
|
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)));
|
|
|
|
|
}
|
|
|
|
|
};
|
|
|
|
|
|
|
|
|
@ -327,6 +459,68 @@ const uint32_t hash_table_size_primes[HASH_TABLE_SIZE_MAX] = {
|
|
|
|
|
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
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
} // namespace godot
|
|
|
|
|
|
|
|
|
|
#endif // HASHFUNCS_HPP
|
|
|
|
|