The luamodulartables and luaset LaTeX packages

The luamodulartables package was developed by us to generate modular addition and multiplication tables for positive integers, for use in L A TEX documents. The commands in the package have optional arguments for formatting of tables. These commands can be used in an environment similar to the tabular and array environments. The commands can also be used with the booktabs package to provide better formatting of tables in L A TEX. Similarly, the luaset package is developed by us to define finite sets and perform different operations on them inside L A T E X documents. There is no special environment in the package for performing set operations. The package commands can be used in any environment (including mathematics environment). These packages are written in Lua, and the TEX source is to be compiled with the LuaL A TEX engine. There is no need to install Lua on users’ systems as TEX distributions (TEX Live and MiKTEX) come bundled with LuaL A TEX. The packages can be modi-fied or extended by writing custom Lua programs.