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#Task solution - fast Fourier transform in fortran (using fftw3)#
This repository contains the realization of the [second task](http://home.agh.edu.pl/~macwozni/fort/zadanie2.pdf) of the fortran programming language course at AGH in Cracov.
##Directory structure##
Makefile
README.md
make_results.sh
template.gnuplot
src/
fourier.F90
f1_dft.gnuplot
f1_original.gnuplot
f2_dft.gnuplot
f2_filtered.gnuplot
f2_original.gnuplot
res/
f1_dft.txt
f1_original.txt
f2_dft.txt
f2_filtered.txt
f2_original.txt
f1_dft.png
f1_original.png
f2_dft.png
f2_filtered.png
f2_original.png
###Makefile###
This file contains recipes for building the fortran program and using to generate plots.
###src/###
This directory contains the fortran source of the project, namely `fourier.f90` and gnuplot scripts for generating png plots.
###res/###
This directory contains relevant plots of signals and frequency spectrums as required for the task.
##Building##
As a prerequisite, fftw3, make and a fortran compiler, either gfortran or ifort, are required (didn't want to support proprietary compiler :c but had to). It is assumed, that include files for fftw3 are installed under `/usr/include`.
Run:
$ make
to build the program executable `fourier`.
The makefile checks which one of the 2 compilers is present and uses it. Alternatively, one can specify fortran compiler explicitly, e.g.:
$ make FC=gfortran
or:
$ make FC=ifort
##Running##
The executable is `fourier`. It's mandatory first argument is name of the function to work with - 'f1' or 'f2'. If there're no other arguments - program prints datapoints for plotting the original function. If second argument is 'dft' - program prints datapoints of function's frequency spectrum as obtained from discrete fourier transform. If second argument is 'filtered' - program prints datapoints of filtered function (with frequency components of low values removed).
$ ./fourier f2 filtered
0.0000000000000000 0.99737967443382569
1.5259021896696422E-005 0.99737363952277114
3.0518043793392844E-005 0.99736759544407216
4.5777065690089265E-005 0.99736154219778428
⋮
0.99996948195620661 0.99739772416056849
0.99998474097810330 0.99739171675277982
1.0000000000000000 0.99738570017718042
Text files and plots in `res/` can be regenerated by issuing
$ make pngs
from the main project directory.
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