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example_1D_correlation.cpp
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example_1D_correlation.cpp
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/*
* =====================================================================================
*
* Filename: example_1D_correlation.cpp
*
* Description: Example program that generates many lattices in one dimension
* with long-range correlated continuous variables according to
* different correlation functions and measures it.
*
* Created: 04/18/2017
*
* Author: Niklas Fricke, Johannes Zierenberg,
*
* =====================================================================================
*/
#include <stdlib.h>
#include <iostream>
#include <fstream>
#include <sstream>
#include <vector>
#include <map>
#include <random>
#include <cassert>
#include "correlated_disorder_continuous.hpp"
#include "correlated_disorder_discrete.hpp"
int main()
{
int l = 21;
double a = 0.5;
std::stringstream filebase;
Disorder disorder(1,l);
disorder.init_correlation_power_law_euclidean(a);
std::vector<int> lag;
lag.push_back(0);
lag.push_back(1);
double n=2.;
while(std::round(n)<=disorder.L/2.0){
lag.push_back(std::round(n));
n*=sqrt(2.);
}
std::vector<double> C(lag.size(), 0.0);
std::vector<double> C2(lag.size(), 0.0);
std::vector<double> err(lag.size(), 0.0);
int sample_size = 100;
for(int seed=1000; seed<1000+sample_size; seed++){
// generate continuous correlated variables on lattice
std::vector<double> lattice1(disorder.N,0.0);
std::vector<double> lattice2(disorder.N,0.0);
disorder.generate_correlated_continuous(lattice1, lattice2, seed);
std::vector<double> c_1 = disorder.calc_correlation_x(lattice1, lag, 0);
std::vector<double> c_2 = disorder.calc_correlation_x(lattice2, lag, 0);
for(unsigned i=0; i<lag.size(); i++){
C[i] += c_1[i] + c_2[i];
C2[i] += c_1[i]*c_1[i] + c_2[i]*c_2[i];
}
}
for(unsigned i=0; i<lag.size(); i++){
C[i] /= 2*sample_size;
C2[i] /= 2*sample_size;
err[i] = std::sqrt((C2[i]-C[i]*C[i])/2/sample_size);
}
std::ofstream out;
filebase << "l" << l << "_a" << a;
out.open("./correlation_1D_"+filebase.str()+".dat");
out << std::scientific;
out << "l\t C_x(l)\t\terr(C_x)\n";
for(unsigned i=0; i<lag.size(); i++){
out << lag[i] << "\t" << C[i] << "\t" << err[i] << "\n";
}
out.close();
return EXIT_SUCCESS;
}