#include <math.h>
#include "CMyVektor.h"

using namespace std;

// f( [x,y] ) = sin(x * y) + sin(x) + cos(y)
double f(CMyVektor X) {
	double x = X[0];
	double y = X[1];

	return (sin(x * y) + sin(x) + cos(y));
}

// g( [x,y,z] ) = -(2x^2 - 2xy + y^2 + z^2 - 2x - 4z)
double g(CMyVektor X) {
	double x = X[0];
	double y = X[1];
	double z = X[2];

	return -(2 * pow(x,2) - 2 * x * y + pow(y,2) + pow(z,2) - 2 * x - 4 * z);
}

int main() {
	CMyVektor X0(std::vector<double>{1,3,5});
	CMyVektor gradX0 = gradient(f, X0);
	cout << "grad f" << X0 << "=" << gradX0 << std::endl;

	CMyVektor X1(std::vector<double>{0.2,-2.1});
	gradientenverfahren(f, X1);

	CMyVektor X2(std::vector<double>{0,0,0});
	gradientenverfahren(g, X2, 0.1);

	system("pause");
	return 0;
}