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morton.cpp
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#include "morton.h"
static const unsigned short m2d_enc_x256[256] = {
0, 1, 4, 5, 16, 17, 20, 21,
64, 65, 68, 69, 80, 81, 84, 85,
256, 257, 260, 261, 272, 273, 276, 277,
320, 321, 324, 325, 336, 337, 340, 341,
1024, 1025, 1028, 1029, 1040, 1041, 1044, 1045,
1088, 1089, 1092, 1093, 1104, 1105, 1108, 1109,
1280, 1281, 1284, 1285, 1296, 1297, 1300, 1301,
1344, 1345, 1348, 1349, 1360, 1361, 1364, 1365,
4096, 4097, 4100, 4101, 4112, 4113, 4116, 4117,
4160, 4161, 4164, 4165, 4176, 4177, 4180, 4181,
4352, 4353, 4356, 4357, 4368, 4369, 4372, 4373,
4416, 4417, 4420, 4421, 4432, 4433, 4436, 4437,
5120, 5121, 5124, 5125, 5136, 5137, 5140, 5141,
5184, 5185, 5188, 5189, 5200, 5201, 5204, 5205,
5376, 5377, 5380, 5381, 5392, 5393, 5396, 5397,
5440, 5441, 5444, 5445, 5456, 5457, 5460, 5461,
16384, 16385, 16388, 16389, 16400, 16401, 16404, 16405,
16448, 16449, 16452, 16453, 16464, 16465, 16468, 16469,
16640, 16641, 16644, 16645, 16656, 16657, 16660, 16661,
16704, 16705, 16708, 16709, 16720, 16721, 16724, 16725,
17408, 17409, 17412, 17413, 17424, 17425, 17428, 17429,
17472, 17473, 17476, 17477, 17488, 17489, 17492, 17493,
17664, 17665, 17668, 17669, 17680, 17681, 17684, 17685,
17728, 17729, 17732, 17733, 17744, 17745, 17748, 17749,
20480, 20481, 20484, 20485, 20496, 20497, 20500, 20501,
20544, 20545, 20548, 20549, 20560, 20561, 20564, 20565,
20736, 20737, 20740, 20741, 20752, 20753, 20756, 20757,
20800, 20801, 20804, 20805, 20816, 20817, 20820, 20821,
21504, 21505, 21508, 21509, 21520, 21521, 21524, 21525,
21568, 21569, 21572, 21573, 21584, 21585, 21588, 21589,
21760, 21761, 21764, 21765, 21776, 21777, 21780, 21781,
21824, 21825, 21828, 21829, 21840, 21841, 21844, 21845};
static const unsigned short m2d_enc_y256[256] = {
0, 2, 8, 10, 32, 34, 40, 42,
128, 130, 136, 138, 160, 162, 168, 170,
512, 514, 520, 522, 544, 546, 552, 554,
640, 642, 648, 650, 672, 674, 680, 682,
2048, 2050, 2056, 2058, 2080, 2082, 2088, 2090,
2176, 2178, 2184, 2186, 2208, 2210, 2216, 2218,
2560, 2562, 2568, 2570, 2592, 2594, 2600, 2602,
2688, 2690, 2696, 2698, 2720, 2722, 2728, 2730,
8192, 8194, 8200, 8202, 8224, 8226, 8232, 8234,
8320, 8322, 8328, 8330, 8352, 8354, 8360, 8362,
8704, 8706, 8712, 8714, 8736, 8738, 8744, 8746,
8832, 8834, 8840, 8842, 8864, 8866, 8872, 8874,
10240, 10242, 10248, 10250, 10272, 10274, 10280, 10282,
10368, 10370, 10376, 10378, 10400, 10402, 10408, 10410,
10752, 10754, 10760, 10762, 10784, 10786, 10792, 10794,
10880, 10882, 10888, 10890, 10912, 10914, 10920, 10922,
32768, 32770, 32776, 32778, 32800, 32802, 32808, 32810,
32896, 32898, 32904, 32906, 32928, 32930, 32936, 32938,
33280, 33282, 33288, 33290, 33312, 33314, 33320, 33322,
33408, 33410, 33416, 33418, 33440, 33442, 33448, 33450,
34816, 34818, 34824, 34826, 34848, 34850, 34856, 34858,
34944, 34946, 34952, 34954, 34976, 34978, 34984, 34986,
35328, 35330, 35336, 35338, 35360, 35362, 35368, 35370,
35456, 35458, 35464, 35466, 35488, 35490, 35496, 35498,
40960, 40962, 40968, 40970, 40992, 40994, 41000, 41002,
41088, 41090, 41096, 41098, 41120, 41122, 41128, 41130,
41472, 41474, 41480, 41482, 41504, 41506, 41512, 41514,
41600, 41602, 41608, 41610, 41632, 41634, 41640, 41642,
43008, 43010, 43016, 43018, 43040, 43042, 43048, 43050,
43136, 43138, 43144, 43146, 43168, 43170, 43176, 43178,
43520, 43522, 43528, 43530, 43552, 43554, 43560, 43562,
43648, 43650, 43656, 43658, 43680, 43682, 43688, 43690};
static const unsigned char m2d_dec_x256[256] = {
0, 1, 0, 1, 2, 3, 2, 3, 0, 1, 0, 1, 2, 3, 2, 3,
4, 5, 4, 5, 6, 7, 6, 7, 4, 5, 4, 5, 6, 7, 6, 7,
0, 1, 0, 1, 2, 3, 2, 3, 0, 1, 0, 1, 2, 3, 2, 3,
4, 5, 4, 5, 6, 7, 6, 7, 4, 5, 4, 5, 6, 7, 6, 7,
8, 9, 8, 9, 10, 11, 10, 11, 8, 9, 8, 9, 10, 11, 10, 11,
12, 13, 12, 13, 14, 15, 14, 15, 12, 13, 12, 13, 14, 15, 14, 15,
8, 9, 8, 9, 10, 11, 10, 11, 8, 9, 8, 9, 10, 11, 10, 11,
12, 13, 12, 13, 14, 15, 14, 15, 12, 13, 12, 13, 14, 15, 14, 15,
0, 1, 0, 1, 2, 3, 2, 3, 0, 1, 0, 1, 2, 3, 2, 3,
4, 5, 4, 5, 6, 7, 6, 7, 4, 5, 4, 5, 6, 7, 6, 7,
0, 1, 0, 1, 2, 3, 2, 3, 0, 1, 0, 1, 2, 3, 2, 3,
4, 5, 4, 5, 6, 7, 6, 7, 4, 5, 4, 5, 6, 7, 6, 7,
8, 9, 8, 9, 10, 11, 10, 11, 8, 9, 8, 9, 10, 11, 10, 11,
12, 13, 12, 13, 14, 15, 14, 15, 12, 13, 12, 13, 14, 15, 14, 15,
8, 9, 8, 9, 10, 11, 10, 11, 8, 9, 8, 9, 10, 11, 10, 11,
12, 13, 12, 13, 14, 15, 14, 15, 12, 13, 12, 13, 14, 15, 14, 15};
static const unsigned char m2d_dec_y256[256] = {
0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3,
0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3,
4, 4, 5, 5, 4, 4, 5, 5, 6, 6, 7, 7, 6, 6, 7, 7,
4, 4, 5, 5, 4, 4, 5, 5, 6, 6, 7, 7, 6, 6, 7, 7,
0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3,
0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3,
4, 4, 5, 5, 4, 4, 5, 5, 6, 6, 7, 7, 6, 6, 7, 7,
4, 4, 5, 5, 4, 4, 5, 5, 6, 6, 7, 7, 6, 6, 7, 7,
8, 8, 9, 9, 8, 8, 9, 9, 10, 10, 11, 11, 10, 10, 11, 11,
8, 8, 9, 9, 8, 8, 9, 9, 10, 10, 11, 11, 10, 10, 11, 11,
12, 12, 13, 13, 12, 12, 13, 13, 14, 14, 15, 15, 14, 14, 15, 15,
12, 12, 13, 13, 12, 12, 13, 13, 14, 14, 15, 15, 14, 14, 15, 15,
8, 8, 9, 9, 8, 8, 9, 9, 10, 10, 11, 11, 10, 10, 11, 11,
8, 8, 9, 9, 8, 8, 9, 9, 10, 10, 11, 11, 10, 10, 11, 11,
12, 12, 13, 13, 12, 12, 13, 13, 14, 14, 15, 15, 14, 14, 15, 15,
12, 12, 13, 13, 12, 12, 13, 13, 14, 14, 15, 15, 14, 14, 15, 15};
//______________________________________________________________________________
morton morton2d_encode(const unsigned x, const unsigned y)
{
morton m = 0;
for (unsigned i = sizeof(unsigned); i > 0; --i)
{
unsigned shift = (i - 1) * 8;
m = m << 16 |
m2d_enc_y256[(y >> shift) & 0xFF] |
m2d_enc_x256[(x >> shift) & 0xFF];
}
return m;
}
//______________________________________________________________________________
static unsigned morton2d_decode_coord(const morton m,
const unsigned char *const lut)
{
morton z = 0;
for (unsigned i = 0; i < sizeof(morton); ++i)
z |= (lut[(m >> ((i * 8))) & 0xFF] << (4 * i));
return z;
}
//______________________________________________________________________________
void morton2d_decode(const morton m, unsigned &x, unsigned &y)
{
x = morton2d_decode_coord(m, m2d_dec_x256);
y = morton2d_decode_coord(m, m2d_dec_y256);
}