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Exercice3_2019.cpp
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Exercice3_2019.cpp
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#include <iostream>
#include <fstream>
#include <vector>
#include <string>
#include <cmath>
#include <iomanip>
#include "ConfigFile.tpp" // Fichier .tpp car inclut un template
using namespace std;
class Exercice3{
private:
double t,dt,tFin;
int nsteps;
double x,y,vx,vy;
double m,g,k,l0,q;
double w,nu,c; // frequence d'excitation; amortissement; couple (facultatif)
double Ex, Ey; // champ electrique oscillatoire
double omega02=0.0; // pulsation
double gamma=0.0; //coefficient d'amortissement sur masse
int sampling; // output tous les sampling pas de temps
int last;
string schema;
ofstream *outputFile;
void printOut(bool force){
if((!force && last>=sampling) || (force && last!=1)){
double ekin = 0.5*(vx*vx+vy*vy); // TODO: A completer
double epot = m*g*y+0.5*(computeL()-l0)*(computeL()-l0)-q*(Ex*x+Ey*y); // TODO: A completer
double Pnc = -nu*(vx*vx+vy*vy); // TODO: A completer
*outputFile << t << " " << x << " " << y << " " << vx << " " << vy << " "
<< ekin << " " << epot << " " << Pnc << endl;
last=1;
}else{
last++;
}
};
double theta(double x,double y) {
double L = computeL();
if (L > 0.00000000000001) {
double theta = acos(x/L);
if (abs(sin(theta)-y/L) < 0.0001) {
//cout << "first way";
return theta+M_PI/2;
}
else if (abs(-sin(theta)-y/L) < 0.0001) {
//cout << "second way";
return -theta+M_PI/2;
}
}
else {
cout << "third way";
return 0.0;
}
}
double computeL(){ // longueur du pendule
return sqrt(x*x + y*y);
}
double ax(double t,double x1,double x2) { // replace default arguments in ax
return ax(t,x1,x2,vx,vy);
}
double ax(double t, double x1, double x2, double v1, double v2) { // TODO: calculer l'acceleration selon x
vector<double> F_C(Couple(t));
return -omega02*x1 + omega02*l0*sin(theta(x1,x2))+q/m*Ex*cos(w*t) + F_C[0]/m -gamma*v1;
}
double ay(double t, double x1, double x2) { // replace default arguments in ay
return ay(t,x1,x2,vx,vy);
}
double ay(double t, double x1, double x2, double v1, double v2) { // TODO: calculer l'acceleration selon y
vector<double> F_C(Couple(t));
return -omega02*x2 - omega02*l0*cos(theta(x1,x2)) + q/m*Ey*cos(w*t) - g + F_C[1]/m -gamma*v2;
}
vector<double> Couple(double t) {
vector<double> F;
double f(0.0);
if (computeL() > 0.00001) {
f = c/computeL()*sin(w*t);
}
vector<double> e = e_theta();
F.push_back(f*e[0]);
F.push_back(f*e[1]);
return F;
}
vector<double> e_theta() {
vector<double> e;
e.push_back(cos(theta(x,y)));
e.push_back(sin(theta(x,y)));
return e;
}
void step_SV() { // TODO: programmer un pas du schema de Verlet
double tx(x),ty(y),tvx(vx),tvy(vy);
x+=dt*tvx+0.5*dt*dt*ax(t,tx,ty);
y+=dt*tvy+0.5*dt*dt*ay(t,tx,ty);
double t2vx(tvx), t2vy(tvy);
t2vx+=0.5*dt*ax(t,tx,ty,tvx,tvy);
t2vy+=0.5*dt*ay(t,tx,ty,tvx,tvy);
vx+=0.5*dt*(ax(t,tx,ty,t2vx,t2vy)+ax(t+dt,x,y,t2vx,t2vy));
vy+=0.5*dt*(ay(t,tx,ty,t2vx,t2vy)+ay(t+dt,x,y,t2vx,t2vy));
}
void step_EC() {
x += dt*vx;
y += dt*vy;
vx += dt*ax(t,x,y,vx,vy);
vy += dt*ay(t+dt,x,y,vx,vy);
}
public:
Exercice3(int argc, char* argv[]){
string inputPath("configuration.in"); // Fichier d'input par defaut
if(argc>1) // Fichier d'input specifie par l'utilisateur ("./Exercice3 config_perso.in")
inputPath = argv[1];
ConfigFile configFile(inputPath); // Les parametres sont lus et stockes dans une "map" de strings.
for(int i(2); i<argc; ++i) // Input complementaires ("./Onde config_perso.in input_scan=[valeur]")
configFile.process(argv[i]);
schema = configFile.get<string>("schema");
if ((schema != "EC") and (schema != "SV")) {
cout << "Schema inconnu. Rappel : SV ou EC. Par défault : SV" << endl;
}
tFin = configFile.get<double>("tFin");
nsteps = configFile.get<int>("nsteps");
if (nsteps > 0) {
dt = tFin/nsteps;
}
else {
dt = configFile.get<double>("dt");
}
x = configFile.get<double>("x0");
y = configFile.get<double>("y0");
vx = configFile.get<double>("vx0");
vy = configFile.get<double>("vy0");
m = configFile.get<double>("m");
q = configFile.get<double>("q");
g = configFile.get<double>("g");
k = configFile.get<double>("k");
l0 = configFile.get<double>("l0");
Ex = configFile.get<double>("Ex");
Ey = configFile.get<double>("Ey");
w = configFile.get<double>("w");
nu = configFile.get<double>("nu");
c = configFile.get<double>("c");
sampling = configFile.get<int>("sampling");
omega02=k/m;
gamma=nu/m;
// Ouverture du fichier de sortie
outputFile = new ofstream(configFile.get<string>("output").c_str());
outputFile->precision(15);
};
~Exercice3(){
outputFile->close();
delete outputFile;
};
void run(){
last = 0;
t = 0;
printOut(true);
if (schema == "EC") {
while( t<(tFin-0.5*dt) ) {
step_EC();
t += dt;
printOut(false);
}
}
else {
while( t<(tFin-0.5*dt) ) {
step_SV();
t += dt;
printOut(false);
}
}
printOut(true);
};
};
int main(int argc, char* argv[])
{
Exercice3 engine(argc, argv);
engine.run();
return 0;
}