/******************************************************************************* Copyright (c) 2005-20015 David Williams and Matthew Williams This software is provided 'as-is', without any express or implied warranty. In no event will the authors be held liable for any damages arising from the use of this software. Permission is granted to anyone to use this software for any purpose, including commercial applications, and to alter it and redistribute it freely, subject to the following restrictions: 1. The origin of this software must not be misrepresented; you must not claim that you wrote the original software. If you use this software in a product, an acknowledgment in the product documentation would be appreciated but is not required. 2. Altered source versions must be plainly marked as such, and must not be misrepresented as being the original software. 3. This notice may not be removed or altered from any source distribution. *******************************************************************************/ #ifndef __PolyVox_Morton_H__ #define __PolyVox_Morton_H__ namespace PolyVox { // Based on: http://www.forceflow.be/2013/10/07/morton-encodingdecoding-through-bit-interleaving-implementations/ static const uint32_t morton256_x[256] = { 0x00000000, 0x00000001, 0x00000008, 0x00000009, 0x00000040, 0x00000041, 0x00000048, 0x00000049, 0x00000200, 0x00000201, 0x00000208, 0x00000209, 0x00000240, 0x00000241, 0x00000248, 0x00000249, 0x00001000, 0x00001001, 0x00001008, 0x00001009, 0x00001040, 0x00001041, 0x00001048, 0x00001049, 0x00001200, 0x00001201, 0x00001208, 0x00001209, 0x00001240, 0x00001241, 0x00001248, 0x00001249, 0x00008000, 0x00008001, 0x00008008, 0x00008009, 0x00008040, 0x00008041, 0x00008048, 0x00008049, 0x00008200, 0x00008201, 0x00008208, 0x00008209, 0x00008240, 0x00008241, 0x00008248, 0x00008249, 0x00009000, 0x00009001, 0x00009008, 0x00009009, 0x00009040, 0x00009041, 0x00009048, 0x00009049, 0x00009200, 0x00009201, 0x00009208, 0x00009209, 0x00009240, 0x00009241, 0x00009248, 0x00009249, 0x00040000, 0x00040001, 0x00040008, 0x00040009, 0x00040040, 0x00040041, 0x00040048, 0x00040049, 0x00040200, 0x00040201, 0x00040208, 0x00040209, 0x00040240, 0x00040241, 0x00040248, 0x00040249, 0x00041000, 0x00041001, 0x00041008, 0x00041009, 0x00041040, 0x00041041, 0x00041048, 0x00041049, 0x00041200, 0x00041201, 0x00041208, 0x00041209, 0x00041240, 0x00041241, 0x00041248, 0x00041249, 0x00048000, 0x00048001, 0x00048008, 0x00048009, 0x00048040, 0x00048041, 0x00048048, 0x00048049, 0x00048200, 0x00048201, 0x00048208, 0x00048209, 0x00048240, 0x00048241, 0x00048248, 0x00048249, 0x00049000, 0x00049001, 0x00049008, 0x00049009, 0x00049040, 0x00049041, 0x00049048, 0x00049049, 0x00049200, 0x00049201, 0x00049208, 0x00049209, 0x00049240, 0x00049241, 0x00049248, 0x00049249, 0x00200000, 0x00200001, 0x00200008, 0x00200009, 0x00200040, 0x00200041, 0x00200048, 0x00200049, 0x00200200, 0x00200201, 0x00200208, 0x00200209, 0x00200240, 0x00200241, 0x00200248, 0x00200249, 0x00201000, 0x00201001, 0x00201008, 0x00201009, 0x00201040, 0x00201041, 0x00201048, 0x00201049, 0x00201200, 0x00201201, 0x00201208, 0x00201209, 0x00201240, 0x00201241, 0x00201248, 0x00201249, 0x00208000, 0x00208001, 0x00208008, 0x00208009, 0x00208040, 0x00208041, 0x00208048, 0x00208049, 0x00208200, 0x00208201, 0x00208208, 0x00208209, 0x00208240, 0x00208241, 0x00208248, 0x00208249, 0x00209000, 0x00209001, 0x00209008, 0x00209009, 0x00209040, 0x00209041, 0x00209048, 0x00209049, 0x00209200, 0x00209201, 0x00209208, 0x00209209, 0x00209240, 0x00209241, 0x00209248, 0x00209249, 0x00240000, 0x00240001, 0x00240008, 0x00240009, 0x00240040, 0x00240041, 0x00240048, 0x00240049, 0x00240200, 0x00240201, 0x00240208, 0x00240209, 0x00240240, 0x00240241, 0x00240248, 0x00240249, 0x00241000, 0x00241001, 0x00241008, 0x00241009, 0x00241040, 0x00241041, 0x00241048, 0x00241049, 0x00241200, 0x00241201, 0x00241208, 0x00241209, 0x00241240, 0x00241241, 0x00241248, 0x00241249, 0x00248000, 0x00248001, 0x00248008, 0x00248009, 0x00248040, 0x00248041, 0x00248048, 0x00248049, 0x00248200, 0x00248201, 0x00248208, 0x00248209, 0x00248240, 0x00248241, 0x00248248, 0x00248249, 0x00249000, 0x00249001, 0x00249008, 0x00249009, 0x00249040, 0x00249041, 0x00249048, 0x00249049, 0x00249200, 0x00249201, 0x00249208, 0x00249209, 0x00249240, 0x00249241, 0x00249248, 0x00249249 }; // pre-shifted table for Y coordinates (1 bit to the left) static const uint32_t morton256_y[256] = { 0x00000000, 0x00000002, 0x00000010, 0x00000012, 0x00000080, 0x00000082, 0x00000090, 0x00000092, 0x00000400, 0x00000402, 0x00000410, 0x00000412, 0x00000480, 0x00000482, 0x00000490, 0x00000492, 0x00002000, 0x00002002, 0x00002010, 0x00002012, 0x00002080, 0x00002082, 0x00002090, 0x00002092, 0x00002400, 0x00002402, 0x00002410, 0x00002412, 0x00002480, 0x00002482, 0x00002490, 0x00002492, 0x00010000, 0x00010002, 0x00010010, 0x00010012, 0x00010080, 0x00010082, 0x00010090, 0x00010092, 0x00010400, 0x00010402, 0x00010410, 0x00010412, 0x00010480, 0x00010482, 0x00010490, 0x00010492, 0x00012000, 0x00012002, 0x00012010, 0x00012012, 0x00012080, 0x00012082, 0x00012090, 0x00012092, 0x00012400, 0x00012402, 0x00012410, 0x00012412, 0x00012480, 0x00012482, 0x00012490, 0x00012492, 0x00080000, 0x00080002, 0x00080010, 0x00080012, 0x00080080, 0x00080082, 0x00080090, 0x00080092, 0x00080400, 0x00080402, 0x00080410, 0x00080412, 0x00080480, 0x00080482, 0x00080490, 0x00080492, 0x00082000, 0x00082002, 0x00082010, 0x00082012, 0x00082080, 0x00082082, 0x00082090, 0x00082092, 0x00082400, 0x00082402, 0x00082410, 0x00082412, 0x00082480, 0x00082482, 0x00082490, 0x00082492, 0x00090000, 0x00090002, 0x00090010, 0x00090012, 0x00090080, 0x00090082, 0x00090090, 0x00090092, 0x00090400, 0x00090402, 0x00090410, 0x00090412, 0x00090480, 0x00090482, 0x00090490, 0x00090492, 0x00092000, 0x00092002, 0x00092010, 0x00092012, 0x00092080, 0x00092082, 0x00092090, 0x00092092, 0x00092400, 0x00092402, 0x00092410, 0x00092412, 0x00092480, 0x00092482, 0x00092490, 0x00092492, 0x00400000, 0x00400002, 0x00400010, 0x00400012, 0x00400080, 0x00400082, 0x00400090, 0x00400092, 0x00400400, 0x00400402, 0x00400410, 0x00400412, 0x00400480, 0x00400482, 0x00400490, 0x00400492, 0x00402000, 0x00402002, 0x00402010, 0x00402012, 0x00402080, 0x00402082, 0x00402090, 0x00402092, 0x00402400, 0x00402402, 0x00402410, 0x00402412, 0x00402480, 0x00402482, 0x00402490, 0x00402492, 0x00410000, 0x00410002, 0x00410010, 0x00410012, 0x00410080, 0x00410082, 0x00410090, 0x00410092, 0x00410400, 0x00410402, 0x00410410, 0x00410412, 0x00410480, 0x00410482, 0x00410490, 0x00410492, 0x00412000, 0x00412002, 0x00412010, 0x00412012, 0x00412080, 0x00412082, 0x00412090, 0x00412092, 0x00412400, 0x00412402, 0x00412410, 0x00412412, 0x00412480, 0x00412482, 0x00412490, 0x00412492, 0x00480000, 0x00480002, 0x00480010, 0x00480012, 0x00480080, 0x00480082, 0x00480090, 0x00480092, 0x00480400, 0x00480402, 0x00480410, 0x00480412, 0x00480480, 0x00480482, 0x00480490, 0x00480492, 0x00482000, 0x00482002, 0x00482010, 0x00482012, 0x00482080, 0x00482082, 0x00482090, 0x00482092, 0x00482400, 0x00482402, 0x00482410, 0x00482412, 0x00482480, 0x00482482, 0x00482490, 0x00482492, 0x00490000, 0x00490002, 0x00490010, 0x00490012, 0x00490080, 0x00490082, 0x00490090, 0x00490092, 0x00490400, 0x00490402, 0x00490410, 0x00490412, 0x00490480, 0x00490482, 0x00490490, 0x00490492, 0x00492000, 0x00492002, 0x00492010, 0x00492012, 0x00492080, 0x00492082, 0x00492090, 0x00492092, 0x00492400, 0x00492402, 0x00492410, 0x00492412, 0x00492480, 0x00492482, 0x00492490, 0x00492492 }; // Pre-shifted table for z (2 bits to the left) static const uint32_t morton256_z[256] = { 0x00000000, 0x00000004, 0x00000020, 0x00000024, 0x00000100, 0x00000104, 0x00000120, 0x00000124, 0x00000800, 0x00000804, 0x00000820, 0x00000824, 0x00000900, 0x00000904, 0x00000920, 0x00000924, 0x00004000, 0x00004004, 0x00004020, 0x00004024, 0x00004100, 0x00004104, 0x00004120, 0x00004124, 0x00004800, 0x00004804, 0x00004820, 0x00004824, 0x00004900, 0x00004904, 0x00004920, 0x00004924, 0x00020000, 0x00020004, 0x00020020, 0x00020024, 0x00020100, 0x00020104, 0x00020120, 0x00020124, 0x00020800, 0x00020804, 0x00020820, 0x00020824, 0x00020900, 0x00020904, 0x00020920, 0x00020924, 0x00024000, 0x00024004, 0x00024020, 0x00024024, 0x00024100, 0x00024104, 0x00024120, 0x00024124, 0x00024800, 0x00024804, 0x00024820, 0x00024824, 0x00024900, 0x00024904, 0x00024920, 0x00024924, 0x00100000, 0x00100004, 0x00100020, 0x00100024, 0x00100100, 0x00100104, 0x00100120, 0x00100124, 0x00100800, 0x00100804, 0x00100820, 0x00100824, 0x00100900, 0x00100904, 0x00100920, 0x00100924, 0x00104000, 0x00104004, 0x00104020, 0x00104024, 0x00104100, 0x00104104, 0x00104120, 0x00104124, 0x00104800, 0x00104804, 0x00104820, 0x00104824, 0x00104900, 0x00104904, 0x00104920, 0x00104924, 0x00120000, 0x00120004, 0x00120020, 0x00120024, 0x00120100, 0x00120104, 0x00120120, 0x00120124, 0x00120800, 0x00120804, 0x00120820, 0x00120824, 0x00120900, 0x00120904, 0x00120920, 0x00120924, 0x00124000, 0x00124004, 0x00124020, 0x00124024, 0x00124100, 0x00124104, 0x00124120, 0x00124124, 0x00124800, 0x00124804, 0x00124820, 0x00124824, 0x00124900, 0x00124904, 0x00124920, 0x00124924, 0x00800000, 0x00800004, 0x00800020, 0x00800024, 0x00800100, 0x00800104, 0x00800120, 0x00800124, 0x00800800, 0x00800804, 0x00800820, 0x00800824, 0x00800900, 0x00800904, 0x00800920, 0x00800924, 0x00804000, 0x00804004, 0x00804020, 0x00804024, 0x00804100, 0x00804104, 0x00804120, 0x00804124, 0x00804800, 0x00804804, 0x00804820, 0x00804824, 0x00804900, 0x00804904, 0x00804920, 0x00804924, 0x00820000, 0x00820004, 0x00820020, 0x00820024, 0x00820100, 0x00820104, 0x00820120, 0x00820124, 0x00820800, 0x00820804, 0x00820820, 0x00820824, 0x00820900, 0x00820904, 0x00820920, 0x00820924, 0x00824000, 0x00824004, 0x00824020, 0x00824024, 0x00824100, 0x00824104, 0x00824120, 0x00824124, 0x00824800, 0x00824804, 0x00824820, 0x00824824, 0x00824900, 0x00824904, 0x00824920, 0x00824924, 0x00900000, 0x00900004, 0x00900020, 0x00900024, 0x00900100, 0x00900104, 0x00900120, 0x00900124, 0x00900800, 0x00900804, 0x00900820, 0x00900824, 0x00900900, 0x00900904, 0x00900920, 0x00900924, 0x00904000, 0x00904004, 0x00904020, 0x00904024, 0x00904100, 0x00904104, 0x00904120, 0x00904124, 0x00904800, 0x00904804, 0x00904820, 0x00904824, 0x00904900, 0x00904904, 0x00904920, 0x00904924, 0x00920000, 0x00920004, 0x00920020, 0x00920024, 0x00920100, 0x00920104, 0x00920120, 0x00920124, 0x00920800, 0x00920804, 0x00920820, 0x00920824, 0x00920900, 0x00920904, 0x00920920, 0x00920924, 0x00924000, 0x00924004, 0x00924020, 0x00924024, 0x00924100, 0x00924104, 0x00924120, 0x00924124, 0x00924800, 0x00924804, 0x00924820, 0x00924824, 0x00924900, 0x00924904, 0x00924920, 0x00924924 }; /*inline uint32_t convertCoordinates(uint16_t uXPos, uint16_t uYPos, uint16_t uZPos) { uint64_t answer = 0; answer = morton256_z[(uZPos >> 16) & 0xFF] | // we start by shifting the third byte, since we only look at the first 21 bits morton256_y[(uYPos >> 16) & 0xFF] | morton256_x[(uXPos >> 16) & 0xFF]; answer = answer << 48 | morton256_z[(uZPos >> 8) & 0xFF] | // shifting second byte morton256_y[(uYPos >> 8) & 0xFF] | morton256_x[(uXPos >> 8) & 0xFF]; answer = answer << 24 | morton256_z[(uZPos)& 0xFF] | // first byte morton256_y[(uYPos)& 0xFF] | morton256_x[(uXPos)& 0xFF]; return answer; }*/ } #endif //__PolyVox_Morton_H__