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main.cc
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Mon, Sep 2, 20:00

main.cc
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/* -------------------------------------------------------------------------- */
#include <cstdlib>
#include <cmath>
#include <iostream>
/* -------------------------------------------------------------------------- */
void exo1(){
std::cout << "Exo1" << std::endl;
int a = 0.5;
std::cout << a << std::endl;
double b = 1/2;
std::cout << b << std::endl;
}
/* -------------------------------------------------------------------------- */
float tanh1(double x){
double res = (exp(x) - exp(-x))/(exp(x) + exp(-x));
return res;
}
float tanh2(double x){
double res = (1 - exp(-2.*x))/(1 + exp(-2.*x));
return res;
}
void exo2(){
std::cout << "Exo2" << std::endl;
int nstep = 10;
double dx = 1000./nstep;
for (int i = 0; i < nstep; ++i) {
double a = tanh1(dx*i);
double b = tanh2(dx*i);
std::cout << dx*i << " " << tanh(dx*i) << " "
<< a << " " << b << std::endl;
}
}
/* -------------------------------------------------------------------------- */
double tanh3(double x){
double res = ( -2.*exp(-2.*x))/(1 + exp(-2.*x));
return res;
}
double evolution(double pn, double v, double dt){
return pn + dt*v;
}
void exo3(){
std::cout << "Exo3.a" << std::endl;
int nstep = 10;
double dx = 1000./nstep;
for (int i = 0; i < nstep; ++i) {
double a = tanh3(dx*i);
std::cout << dx*i << " " << tanh(dx*i) -1 << " "
<< a << std::endl;
}
std::cout << "Exo3.b" << std::endl;
double a = 0;
double b = a + 1e-3;
double dt = 1e3;
double v = 3e8;
for (int i = 0; i < 40; ++i) {
double res = b - a;
std::cout << i << " " << res << " " << a << " " << b << std::endl;
a = evolution(a,v,dt);
b = evolution(b,v,dt);
}
}
/* -------------------------------------------------------------------------- */
int main(int argc, char ** argv){
exo1();
exo2();
exo3();
return EXIT_SUCCESS;
}

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