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exponential_fit.cpp
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exponential_fit.cpp
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/******************************************************************************
Copyright 2014 Stefano Sinigardi
The program is distributed under the terms of the GNU General Public License
******************************************************************************/
/**************************************************************************
This file is part of "tools-ALaDyn".
tools-ALaDyn is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
tools-ALaDyn is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with tools-ALaDyn. If not, see <http://www.gnu.org/licenses/>.
**************************************************************************/
#define LUNGHEZZA_MAX_RIGA 1024
#define _USE_MATH_DEFINES
#define _CRT_SECURE_NO_WARNINGS
#include <iostream>
#include <cstdio>
#include <sstream>
#include <vector>
#include <fstream>
#include <sstream>
#include <string>
#include <cmath>
#include <cstdlib>
using namespace std;
int main(int argc, char* argv[])
{
if (argc < 3)
{
cerr << "Please write input file on command line and also working mode!" << endl;
cerr << "-scan to write on the output, on a single line and without the newline at the end, just the mean energy and the total number of particles (fitting parameters)" << endl;
cerr << "-func to write on the output the fitting functions" << endl;
cerr << "-gnuplot to write on the output the gnuplot script useful to plot the input file including the fitting curves" << endl;
cerr << "\nIn all cases, this program works best using output redirection" << endl;
exit(1);
}
bool scan = false, func = false, gnuplot = false;
int inputfile_position = 0;
for (int i = 1; i < argc; i++)
/************************************************************************
We will iterate over argv[] to get the parameters stored inside.
Note that we're starting on 1 because we don't need to know the
path of the program, which is stored in argv[0]
************************************************************************/
{
if (std::string(argv[i]) == "-scan")
{
scan = true;
}
else if (std::string(argv[i]) == "-gnuplot")
{
gnuplot = true;
}
else if (std::string(argv[i]) == "-func")
{
func = true;
}
else
{
inputfile_position = i;
}
}
if (inputfile_position < 1)
{
cerr << "Unable to find an input file on the command line" << endl;
cerr << "Scan[0:disabled, 1:enabled] --> " << scan << endl;
cerr << "Gnuplot[0:disabled, 1:enabled] --> " << gnuplot << endl;
cerr << "Func[0:disabled, 1:enabled] --> " << func << endl;
exit(2);
}
string riga;
vector<string> righe;
ifstream infile;
infile.open(argv[inputfile_position], ifstream::in);
if (!infile.is_open())
{
cerr << "Unable to open input file " << argv[inputfile_position] << "!" << endl;
exit(3);
}
char * riga_letta;
riga_letta = new char[LUNGHEZZA_MAX_RIGA];
while (true)
{
infile.getline(riga_letta, LUNGHEZZA_MAX_RIGA);
if (infile.eof()) break;
riga = riga_letta;
std::size_t found;
found = riga.find("#");
if ((found == std::string::npos || found > 1) && !infile.eof())
righe.push_back(riga);
}
infile.close();
double * energies = new double[righe.size()];
double * particles = new double[righe.size()];
double * particles_selected = new double[righe.size()];
stringstream ss;
for (unsigned int it = 0; it < righe.size(); it++)
{
stringstream ss(righe.at(it));
ss >> energies[it] >> particles[it] >> particles_selected[it];
}
double sum_x = 0., sum_x2 = 0.;
double sum_y = 0., sum_y2 = 0., sum_logy = 0., sum_x2y = 0., sum_ylogy = 0., sum_xy = 0., sum_xylogy = 0.;
double sum_z = 0., sum_z2 = 0., sum_logz = 0., sum_x2z = 0., sum_zlogz = 0., sum_xz = 0., sum_xzlogz = 0.;
double x, y, z;
unsigned int inizio = (int)(righe.size() / 5.);
unsigned int fine = (int)(4. * righe.size() / 5.);
// for (unsigned int it = 0; it < righe.size(); it++)
for (unsigned int it = inizio; it < fine; it++)
{
x = energies[it];
y = particles[it];
z = particles_selected[it];
sum_x += x;
sum_x2 += x*x;
sum_y += y;
sum_y2 += y*y;
sum_logy += log(x);
sum_x2y += x*x*y;
sum_ylogy += y*log(y);
sum_xy += x*y;
sum_xylogy += x*y*log(y);
sum_z += z;
sum_z2 += z*z;
sum_logz += log(z);
sum_x2z += x*x*z;
sum_zlogz += z*log(z);
sum_xz += x*z;
sum_xzlogz += x*z*log(z);
}
double fit_a1, fit_b1; // see http://mathworld.wolfram.com/LeastSquaresFittingExponential.html
double fit_a2, fit_b2;
fit_a1 = (sum_x2y*sum_ylogy - sum_xy*sum_xylogy) / (sum_y*sum_x2y - sum_xy*sum_xy);
fit_b1 = (sum_y*sum_xylogy - sum_xy*sum_ylogy) / (sum_y*sum_x2y - sum_xy*sum_xy);
fit_a2 = (sum_x2z*sum_zlogz - sum_xz*sum_xzlogz) / (sum_z*sum_x2z - sum_xz*sum_xz);
fit_b2 = (sum_z*sum_xzlogz - sum_xz*sum_zlogz) / (sum_z*sum_x2z - sum_xz*sum_xz);
double aveE1 = -1. / fit_b1;
double aveE2 = -1. / fit_b2;
int N0_1 = (int)(exp(fit_a1) * aveE1);
int N0_2 = (int)(exp(fit_a2) * aveE2);
int weight = 2; // fix, read it from the first line of the infile
int subsample_factor = 48230; // fix, read it from the first line of the infile
if (func)
{
cout << "Fit for full spectrum: y=" << exp(fit_a1) << "e^(" << fit_b1 << "x)" << endl;
cout << "Fit for selected spectrum: y=" << exp(fit_a2) << "e^(" << fit_b2 << "x)" << endl;
}
if (gnuplot)
{
FILE* outfile;
outfile = fopen("plot.plt", "w");
int Xres = 1280; // fix, make it possible to define on command line
int Yres = 720; // fix, make it possible to define on command line
// int Emin = 0; // fix, read it from the infile
// int Emax = 60; // fix, read it from the infile
char image_type[] = "png";
fprintf(outfile, "#!/gnuplot\n");
fprintf(outfile, "FILE_IN='%s'\n", argv[1]);
fprintf(outfile, "FILE_OUT='%s.%s'\n", argv[1], image_type);
fprintf(outfile, "set terminal %s truecolor enhanced size %i,%i\n", image_type, Xres, Yres);
fprintf(outfile, "set output FILE_OUT\n");
fprintf(outfile, "AVERAGE_E1 = %3.2f\n", aveE1);
fprintf(outfile, "AVERAGE_E2 = %3.2f\n", aveE2);
fprintf(outfile, "WEIGHT = %i\n", weight);
fprintf(outfile, "SUBSAMPLE = %i\n", subsample_factor);
fprintf(outfile, "N0_1 = %i*WEIGHT*SUBSAMPLE\n", N0_1);
fprintf(outfile, "N0_2 = %i*WEIGHT*SUBSAMPLE\n", N0_2);
fprintf(outfile, "f(x) = (N0_1 / AVERAGE_E1)*exp(-x / AVERAGE_E1)\n");
fprintf(outfile, "g(x) = (N0_2 / AVERAGE_E2)*exp(-x / AVERAGE_E2)\n");
fprintf(outfile, "set xlabel 'E (MeV)' \n");
fprintf(outfile, "set ylabel 'dN/dE (MeV^{-1})'\n");
fprintf(outfile, "set format y '10^{%%L}'\n");
// fprintf(outfile, "set xrange[%i:%i]\n", Emin, Emax);
fprintf(outfile, "set logscale y\n");
fprintf(outfile, "plot FILE_IN u 1:($2*%i*%i) w histeps lt 1 lc rgb 'blue' lw 3 t 'full spectrum',\\", weight, subsample_factor);
fprintf(outfile, "\n");
fprintf(outfile, "FILE_IN u 1:($3*%i*%i) w histeps lt 1 lc rgb 'red' lw 3 t 'selected spectrum',\\", weight, subsample_factor);
fprintf(outfile, "\n");
fprintf(outfile, "f(x) w lines lt 1 lc rgb 'purple' lw 3 t 'exponential fit E_01 = %1.1f MeV',\\", aveE1);
fprintf(outfile, "\n");
fprintf(outfile, "g(x) w lines lt 1 lc rgb 'dark-green' lw 3 t 'exponential fit E_02 = %1.1f MeV'", aveE2);
fprintf(outfile, "\n");
fclose(outfile);
}
if (scan)
{
printf(" \t %3.2f \t %i \t %3.2f \t %i \t ", aveE1, N0_1, aveE2, N0_2);
}
return 0;
}