Libmorton
- Libmorton is a C++ header-only library with methods to efficiently encode/decode 64-bit morton codes from/to 32-bit (x,y,z) coordinates. Morton order is also known as Z-order or the Z-order curve.
- Libmorton is a portable library - in its most basic form it only depends on standard C++ headers. Compiler/architecture optimizations can however be enabled.
- Cuda version is being developed separately, since it serves a slightly different purpose (batch encoding/decoding large batches of coordinates) and will not be a header-only library.
Usage
You can use the library by including libmorton/morton.h. This will always include functions that point to the most efficient way to date.
// ENCODING 2D / 3D morton codes, of length 32 and 64 bits inline uint_fast32_t morton2D_32_encode(const uint_fast16_t x, const uint_fast16_t y); inline uint_fast64_t morton2D_64_encode(const uint_fast32_t x, const uint_fast32_t y); inline uint_fast32_t morton3D_32_encode(const uint_fast16_t x, const uint_fast16_t y, const uint_fast16_t z); inline uint_fast64_t morton3D_64_encode(const uint_fast32_t x, const uint_fast32_t y, const uint_fast32_t z); // DECODING 2D / 3D morton codes, of length 32 and 64 bits inline void morton2D_32_decode(const uint_fast32_t morton, uint_fast16_t& x, uint_fast16_t& y); inline void morton2D_64_decode(const uint_fast64_t morton, uint_fast32_t& x, uint_fast32_t& y); inline void morton3D_32_decode(const uint_fast32_t morton, uint_fast16_t& x, uint_fast16_t& y, uint_fast16_t& z); inline void morton3D_64_decode(const uint_fast64_t morton, uint_fast32_t& x, uint_fast32_t& y, uint_fast32_t& z);
Testing
The test folder contains tools I use to test correctness and performance of the libmorton implementation.
See this blogpost for explanation and benchmarks:
http://www.forceflow.be/2013/10/07/morton-encodingdecoding-through-bit-interleaving-implementations/