The most widely used Lua versions (5.0 and 5.1) and the latest versions that are distributed (5.2 and 5.3) have subtly different APIs, making it difficult to write cross-platform libraries using the C API. The LCL includes a small C/C++ library to augment the Lua C API to standardize some parts of it that has changed over the various 5.x versions.
Additionally, the included libraries are very barebones, making Lua a formidable language to get started with. The main difficulty is the lack of scientific computing functionality, which forms the basis of many higher level functionalities. The LCL includes additional libraries for performing linear algebra and geometric predicates.
The current libraries support 5.0, 5.1, 5.2, and 5.3. These libraries should also be compatible with LuaJIT 2.0 (similar to Lua 5.1).