import ode; write("integration test"); real f(real t, real x) {return cos(x);} write(integrate(1,f,0,10,0.1,dynamic=true,0.0002,0.0004,RK3BS,verbose=true)); write(); write("system integration test"); real[] f(real t, real[] x) {return new real[] {x[1],1.5*x[0]^2};} write(integrate(new real[] {4,-8},f,0,1,n=100,dynamic=true,tolmin=0.0002, tolmax=0.0004,RK3BS,verbose=false)); write(); write("simultaneous newton test"); real[] function(real[] x) { return new real[] {x[0]^2+x[1]^2-25,(x[0]-6)^2+x[1]^2-25}; } real[][] fJac(real[] x) { return new real[][] {{2*x[0],2*x[1]},{2*(x[0]-6),2*x[1]}}; } write(newton(function,fJac,new real[] {0,-1})); write(); write("BVP solver test"); write("Finding initial conditions that solve w''(t)=1.5*w(t), w(0)=4, w(1)=1"); real[] initial(real[] x) { return new real[] {4,x[0]}; } real[] discrepancy(real[] x) { real error=x[0]-1; write("Error: ",error); return new real[] {error}; } real[] w0=solveBVP(f,0,1,n=10,dynamic=true,tolmin=0.0002,tolmax=0.0004,RK3BS, initial,discrepancy,guess=new real[] {-30},iterations=10); write(w0); write(); write(integrate(w0,f,0,1,n=10,dynamic=true,tolmin=0.0002,tolmax=0.0004,RK3BS, verbose=false)); write();