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tempalte.cpp
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tempalte.cpp
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#include <iostream>
#include <cmath>
#include "gnuplot_i.hpp" // Biblioteka do sciagniecia na https://code.google.com/archive/p/gnuplot-cpp/
// Kompilujemy z warunkiem "-I."
#include <limits>
#include <vector>
#include <conio.h>
//
// Program korzysta z programu GNUPlot 4.6
//
using namespace std;
long double wielomian(long double);
long double trygonometryczna(long double);
long double zlozenie(long double);
void wait_for_key();
long double falsi(long double left, long double right, int iterations, long double (*calculate)(long double), long double epsilon);
long double bisekcja(long double left, long double right, int iterations, long double (*calculate)(long double), long double epsilon);
struct Wielomian;
struct Trygonometryczna;
// ########################
// ######### MAIN #########
// ########################
int main(){
long double (*calculate)(long double) = wielomian;
int iterations;
cin>>iterations;
long double epsilon = -1;
cout << bisekcja(-10, 0, iterations, calculate, epsilon) << endl;
cout << falsi(-10, 0, iterations, calculate, epsilon) << endl << endl;
}
// ###########################
// ######### FUNKCJE #########
// ###########################
long double zlozenie(long double x){
return 3*pow(x, 2)+sin(5*x+M_PI)+10;
}
void wait_for_key(){
#if defined(_WIN32) || defined(WIN32) || defined(__TOS_WIN__) || defined(__WIN32__) // every keypress registered, also arrow keys
cout << endl << "Press any key to continue..." << endl;
//FlushConsoleInputBuffer(GetStdHandle(STD_INPUT_HANDLE));
_getch();
#elif defined(__unix) || defined(unix) || defined(__APPLE__) || defined(__UNIX__)
cout << endl << "Press ENTER to continue..." << endl;
cin.clear();
cin.ignore(std::numeric_limits<std::streamsize>::max(),'\n');
cin.get();
#endif
return;
}
long double wielomian(long double x){
return -3*pow(x, 3)+33*x-8*pow(x,2)-20;
//return x*x+10*x;
}
long double trygonometryczna(long double x){
return sin(5*x+M_PI)+3;
}
/*
struct Wioelomian{
int stopien;
Wielomian(int st=2){
stopien = st;
double *wartosci = new double[st+1];
}
~Wielomian(){delete[] wartosci;}
void wprowadz(){
cout<<"Podaj wartosci:\n";
for(int i=0;i<=stopien;i++){
cout<<"Przy x^"<<i<<":";
cin>>wartosci[i];
}
}
double policz(double x){
double wynik = 0;
for(int i=0;i<=stopien;i++){
wynik += pow(x,i)*wartosci[i];
}
return wynik;
}
};
struct Trygonometryczna{
double
};
*/
long double falsi(long double left, long double right, int iterations, long double (*calculate)(long double), long double epsilon){
long double leftV = calculate(left), rightV=calculate(right), center, centerV;
short repeat=0;
while(iterations-->0 || (epsilon < (leftV-rightV)/2 && epsilon >=0)){
center = ( leftV*right-rightV*left )/( leftV -rightV );
centerV = calculate(center);
if(centerV*rightV > 0){
right = center;
rightV = centerV;
if(repeat==-1)
leftV /= 2;
repeat = -1;
}
else if(centerV * leftV > 0){
left = center;
leftV = centerV;
if(repeat==1)
rightV /= 2;
repeat = 1;
}
else{
break;
}
}
Gnuplot plot;
vector<long double> x;
vector<long double> y;
x.push_back(left);
x.push_back(right);
y.push_back(leftV);
y.push_back(rightV);
plot.set_grid();
if(x[0]==x[1])plot.set_xrange(-5.08679, -5.08677);
plot.set_style("linespoints").plot_xy(x,y,"Wynik").set_style("lines").plot_equation("-3*x*x*x-8*x*x+33*x-20").set_style("impulses").plot_xy(x,y,"user-defined doubles").set_style("lines").plot_equation("0", "OX");
wait_for_key();
return center;
}
long double bisekcja(long double left, long double right, int iterations, long double (*calculate)(long double), long double epsilon){
long double temp, center;
bool signL = calculate(left)>0?1:0;
while(iterations-->0 || (epsilon < (calculate(left)-calculate(right))/2 && epsilon >= 0)){
center = (right+left)/2;
temp = calculate(center);
if(temp == 0)
return center;
else if(temp<0 ^ signL)
left = center;
else
right = center;
}
return center;
}