LUST (Lookup Special Tables) is a C++ library of special functions implemented using FunC lookup tables.

This library provides LUTs for long double, double, and float for each of its special functions. These tables are built with a relative pointwise error tolerance tol = std::numeric_limits<T>::epsilon (where T\in{float, double, long double}).

See website for a listing of every special function we support.

• C++11 compliant compiler
• FunC*

* Note that none of FunC's optional dependencies are required

• C++11 compliant compiler
• FunC*
• Boost
• Armadillo

• CMake version >= 3.1

mkdir build && cd build/
cmake -DCMAKE_INSTALL_PREFIX=<install-dir>  ..
make install

After make install, linking to the library (outside of cmake build) requires:

• <install-dir>/lib is in your LD_LIBRARY_PATH environment variable,
• <install-dir>/include/lust is in your include flags, and
• -llust is one of your linking flags

FunC can only build LUTs over finite unions of compact intervals. So, LUST must use some trickery to build a LUT over unbounded sets.

• eg, if $f:\mathbb{R}\to\mathbb{R}$ and we build a LUT $l$ for $g(x)=f(\tan(\pi x/2))$ over $[-1,1]$ then $l(2*\arctan(x)/\pi)\approx f(x)$ for any $x\in\mathbb{R}$.