int main(){
using namespace NonLinearSystems;
using std::vector;
using std::cout;
using std::endl;
NonLinSys F;
// fill the system
/*
having used a function wrapper we may treat functors, function pointers
and lambda expressions in a similar way
*/
F.addToSystem(f1());
F.addToSystem(&f2);
// Lambda expression added
F.addToSystem( [](argumentType const & x){return x[0]+x[1];} );
// For bind placeholders
using namespace std::placeholders;
// Using bind: it stores convex(*,0.4);
//F.addToSystem(std::bind(convex, _1, 0.4));
F.addToSystem([](argumentType const & x){return convex(x,0.4);});
argumentType x(2);
x<<1.0,3.1; // Eigen initialization
auto res=F(x);
cout<<" Residual at ("<<x<<")=("<<res<<")"<<endl;
cout<<" Jacobian at ("<<x<<")=["<<endl;
cout<< DiscreteJacobian(&F)(x)<<"]"<<endl;
/// Another non linear system
NonLinSys G;
G.addToSystem([](argumentType const & x){return x[0]+x[1]+x[2];});
G.addToSystem([](argumentType const & x){return x[0]*x[0]+3*x[1]-x[2];});
G.addToSystem([](argumentType const & x){return x[0]+2*x[1]+7*x[2];});
DiscreteJacobian J(&G);
NewtonOptions optNewton{1e-6,1.e-8,100};
argumentType y(3);
y[0]=1;y[1]=1;y[2]=1;
NewtonStatus result=Newton(G,J,y,optNewton);
cout<<"Residual="<<result.residual<<" Iterations= "<<result.iterations;
cout<<" Converged="<<result.converged<<endl;
cout<<"Solution= ("<<y<<")"<<endl;
cout<<endl<<" ****************** FIXED POINT ****************"<<endl;
// Same initial point
y[0]=1;y[1]=1;y[2]=1;
auto resultFP=fixedPoint(G,y,{1.e-8,10000,0.2});
cout<<"Residual="<<resultFP.residual<<" Iterations= "<<resultFP.iterations;
cout<<" Converged="<<resultFP.converged<<endl;
cout<<"Solution= ("<<y<<")"<<endl;
}
int main(){
using namespace NonLinearSystems;
using std::vector;
using std::cout;
using std::endl;
NonLinSys F;
// fill the system
/*
having used a function wrapper we may treat functors, function pointers
and lambda expressions in a similar way
*/
F.addToSystem(f1());
F.addToSystem(&f2);
// Lambda expression added
F.addToSystem( [](argumentType const & x){return x[0]+x[1];} );
argumentType x(2);
x<<1.0,3.1; // Eigen initialization
auto res=F(x);
cout<<res<<endl;
}
