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-rw-r--r--src/opti.cpp11
-rw-r--r--src/projet.cpp28
2 files changed, 14 insertions, 25 deletions
diff --git a/src/opti.cpp b/src/opti.cpp
index efe5643..2824a69 100644
--- a/src/opti.cpp
+++ b/src/opti.cpp
@@ -18,24 +18,19 @@ double f (const std::vector<double> &X, std::vector<double> &grad, void *params)
norm+=X[i]*X[i];
}
asian_option A(p->r, p->T, p->S0, p->V, p->K, p->call);
- return log(A(X)) - 0.5*norm;
+ return log(A(X)+1e-10) - 0.5*norm;//on rajoute 1e-10 pour être sur que le log soit défini
};
-
-
-
std::vector<double> argmax(double r, double T, double S0, double V, double K, int d, bool call){
option_params params = {.r = r, .T = T, .S0 = S0, .V=V, .K=K, .call=call};
nlopt::opt opt(nlopt::LN_COBYLA, d);
-
opt.set_max_objective(f, &params);
-
opt.set_xtol_rel(1e-4);
- std::vector<double> x(d,1);
- std::vector<double> g(0);
+ double x0 = call? 1: -1;
+ std::vector<double> x(d, x0);
double maxf;
nlopt::result result = opt.optimize(x, maxf);
diff --git a/src/projet.cpp b/src/projet.cpp
index 7f6544a..d2cae1a 100644
--- a/src/projet.cpp
+++ b/src/projet.cpp
@@ -89,7 +89,7 @@ vector <vector<double> > exemple2_stratified (int d, bool call = true){
double V = 0.1;
typedef compose_t<exponential_tilt<asian_option>, multi_gaussian_truncated> tilted_option;
for (size_t i=0; i < K.size(); i++){
- vector<double> mu = argmax(r, T, S0, V, K[i], d);
+ vector<double> mu = argmax(r, T, S0, V, K[i], d, call);
std::vector<double> u = normalize(mu);
asian_option A(r, T, S0, V, K[i], call);
exponential_tilt<asian_option> G(mu, A);
@@ -127,8 +127,8 @@ vector< vector<double> > exemple2_rqmc(int d, bool call = true) {
return data;
};
-int make_table1(vector< vector<double> > data1, vector< vector<double> > data2) {
- std::fstream fs("doc/table.tex", std::fstream::out);
+int make_table1(vector< vector<double> > const &data1, vector< vector<double> > const &data2) {
+ std::fstream fs("doc/table1.tex", std::fstream::out);
fs<<R"(\begin{tabular}{|r|rr|rr|c|})"<<std::endl;
fs<<R"(\hline)"<<endl;
fs<<"N"<<" & "<<R"($\mu_{strat}$)"<<" & "<<R"($\mu_{rqmc}$)"<<" & "<<R"($\textrm{IC}_{strat}$)"<<" & "<<R"($\textrm{IC}_{rqmc}$)"<<" & "<< R"($\textrm{IC}_{strat}/\textrm{IC}_{rqmc}$)"<<R"(\\ \hline)"<<std::endl;
@@ -163,29 +163,23 @@ int make_table2(vector< vector<double> > data1, vector< vector<double> > data2,
fs.close();
return 0;
}
-
+
int main()
{
- init_alea(2);
- //~ cout<<gsl_cdf_gaussian_Pinv(0.975,1)<<endl;
- //~ cout<<"Stratified_sampling sur l'exemple 1 de la normale"<<endl;
- //~ vector< vector<double> > data1 = exemple1_stratified();
- //~ cout<<"Randomised quasi Monte-Carlo sur l'exemple 1 de la normale"<<endl;
- //~ vector< vector<double> > data2 = exemple1_rqmc();
- //~ make_table1(data1, data2);
-
+ init_alea(0);
+ cout<<"comparaison stratified sampling/RQMC sur l'example 1\n"<<endl;
+ make_table1(exemple1_stratified(), exemple1_rqmc());
vector< vector<double> > data1 = exemple2_stratified(16);
- vector< vector<double> > data2 = exemple2_rqmc(16);
+ vector< vector<double> > data2 = exemple2_rqmc(16);
vector< vector<double> > data3 = exemple2_stratified(64);
- vector< vector<double> > data4 = exemple2_rqmc(64);
+ vector< vector<double> > data4 = exemple2_rqmc(64);
make_table2(data1, data2, data3, data4, "table2.tex");
vector< vector<double> > data5 = exemple2_stratified(16, false);
- vector< vector<double> > data6 = exemple2_rqmc(16, false);
+ vector< vector<double> > data6 = exemple2_rqmc(16, false);
+ cout<<"test"<<endl;
vector< vector<double> > data7 = exemple2_stratified(64, false);
vector< vector<double> > data8 = exemple2_rqmc(64,false);
make_table2(data5, data6, data7, data8, "table3.tex");
-
-
return 0;
}