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main.cpp
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main.cpp
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#include <iostream>
#include <ctime>
#include "MyMatrix.h"
#include "Generator.h"
#include "Approximation.h"
#include "MyFunctions.h"
/*
Author: Dawid Lipiński
Created: 11.01.2018
Modified: 14.01.2018
Description: Program wykonuje pomiary czasów wykonywania się obliczeń macierzy metodami:
-Gaussa
-Gaussa zoptymalizowanego
-Siedla
-SpraseMatrix
Nastepnie za pomocą aproksymacji średniokwadratowej dyskretnej oraz danych zebranych wcześniej, tworzy wielomiany aproksymacyjne.
Umożliwiają one obliczenie czasu wykonywania działania daną metodą na podstawie danego rozmiaru macierzy.
*/
typedef std::numeric_limits< double > dbl;
using namespace std;
int main()
{
int sizes_amount=8;
vector<int> board_sizes(sizes_amount,0);
board_sizes = {392,512,648,800,964,1144,1552,2024};
vector<double> equations_sizes(sizes_amount,0);
vector<double> generating_time(sizes_amount,0);
vector<double> gauss_partial_times(sizes_amount,0);
vector<double> gauss_partial_optimized_times(sizes_amount,0);
vector<double> eigen_times(sizes_amount,0);
vector<double> seidel_times(sizes_amount,0);
vector<double> seidel_eigen_times(sizes_amount,0);
ofstream outputFile("times_data.txt");
outputFile << "Rozmiar;Generowanie;Gauss;Gauss Opt;Eigen;Seidel;Siedel Eigen" << endl;
for(int i=0;i<sizes_amount;i++){
cout << "Counting board size "<<board_sizes[i]<<"..."<<endl;
clock_t begin = clock();
vector < vector <double > > matrix = generate_matrix(board_sizes[i]);
clock_t end = clock();
double generator_time = double(end - begin) / CLOCKS_PER_SEC;
equations_sizes[i] = matrix.size();
generating_time[i] = generator_time;
MyMatrix generated_matrix(matrix.size(),matrix.size()+1);
generated_matrix = matrix;
double gauss_partial_time = generated_matrix.Gauss_partial_time();
double gauss_partial_optimized_time = generated_matrix.Gauss_partial_optimized_time();
double eigen_time = generated_matrix.Eigen_time();
double seidel_time = generated_matrix.Siedel_time();
double seidel_eigen_time = generated_matrix.Siedel_Eigen_time();
outputFile << matrix.size() << ";" << generator_time << ";" << gauss_partial_time << ";" << gauss_partial_optimized_time << ";" << eigen_time << ";" << seidel_time <<";" <<seidel_eigen_time<< endl;
gauss_partial_times[i]=gauss_partial_time;
gauss_partial_optimized_times[i]=gauss_partial_optimized_time;
eigen_times[i]=eigen_time;
seidel_times[i]=seidel_time;
seidel_eigen_times[i]=seidel_eigen_time;
}
outputFile.close();
Approximation gauss_partial_polynomial(equations_sizes,gauss_partial_times,3);
Approximation gauss_partial_optimized_polynomial(equations_sizes,gauss_partial_optimized_times,2);
Approximation eigen_polynomial(equations_sizes,eigen_times,1);
Approximation siedel_polynomial(equations_sizes,seidel_times,2);
Approximation siedel_eigen_polynomial(equations_sizes,seidel_eigen_times,1);
gauss_partial_polynomial.create_polynominal();
gauss_partial_optimized_polynomial.create_polynominal();
eigen_polynomial.create_polynominal();
siedel_polynomial.create_polynominal();
siedel_eigen_polynomial.create_polynominal();
ofstream outputFile1("equations.txt");
outputFile1 << gauss_partial_polynomial.to_string("Gauss partial") << endl;;
outputFile1 << gauss_partial_optimized_polynomial.to_string("Gauss partial optimized") << endl;
outputFile1 << eigen_polynomial.to_string("Eigen") << endl;
outputFile1 << siedel_polynomial.to_string("Siedel") << endl;
outputFile1 << siedel_eigen_polynomial.to_string("Siedel Eigen") << endl;
outputFile1.close();
ofstream outputFile3("calculations_check.txt");
outputFile3 << "Rozmiar;Gauss;Gauss Opt; Eigen; Siedel;Siedel Eigen"<<endl;
for(int i=0;i<sizes_amount;i++){
outputFile3 << equations_sizes[i]<<";" <<abs(gauss_partial_times[i]- gauss_partial_polynomial.solve(equations_sizes[i])) << ";";
outputFile3 << abs(gauss_partial_optimized_times[i]- gauss_partial_optimized_polynomial.solve(equations_sizes[i])) << ";";
outputFile3 << abs(eigen_times[i]- eigen_polynomial.solve(equations_sizes[i])) << ";";
outputFile3 << abs(seidel_times[i]- siedel_polynomial.solve(equations_sizes[i])) << ";"<<endl;
outputFile3 << abs(seidel_times[i]- siedel_eigen_polynomial.solve(equations_sizes[i])) << ";"<<endl;
}
outputFile3.close();
ofstream outputFile2("100000_times.txt");
outputFile2 << gauss_partial_polynomial.solve(100000) << endl;
outputFile2 << gauss_partial_optimized_polynomial.solve(100000) << endl;
outputFile2 << eigen_polynomial.solve(100000) << endl;
outputFile2 << siedel_polynomial.solve(100000) << endl;
outputFile2 << siedel_eigen_polynomial.solve(100000) << endl;
outputFile2.close();
cout << "generating big matrix" << endl;
ofstream outputFile4("large_matrix.txt");
double k100_time= eigen_100000_time();
cout << "solved time: " <<k100_time<<endl;
outputFile4 << "solved time: " << k100_time<< endl;
return 0;
}