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FFTW_Ada is an Ada binding to the FFTW (fast Fourier transform) library written at MIT by Matteo Frigo and Steven G. Johnson. FFTW is written in C. FFTW_Ada allows calls to FFTW from an Ada program, thus allowing Ada code to compute fast Fourier and certain other related transforms. FFTW_Ada v2 works with FFTW v3 and requires Ada 2012.

Operators are overloaded so that a normal looking function definition provides access to not only evaluations of itself, but to evaluations of any of its analytic derivatives. Automatic differentiation means the user does not need to define the analytic expressions for all the various partial derivatives. It also means that those complex expressions are essentially calculated at compile time, and merely evaluated at runtime. First order derivatives only, forward...