#pragma once
#include <vector>
#include <iostream>

class CMyVektor {
private:
	int dimension;
	std::vector<double> werte;
public:
	// Vektor mit Dimension anlegen
	CMyVektor(int n) : dimension{ n } {
		werte.resize(n);
	}

	CMyVektor(std::vector<double> x) : dimension{ (int)x.size() } {
		werte.resize(x.size());
		for (int i = 0; i < x.size(); i++)
			werte[i] = x[i];
	}

	int getDimension();
	double length();

	// Komponente von Vektor übergeben
	double& operator[](int index);
};

CMyVektor operator+(CMyVektor a, CMyVektor b);
CMyVektor operator*(double lambda, CMyVektor a);

std::ostream& operator<< (std::ostream& os, CMyVektor& vektor);

CMyVektor gradient(double f(CMyVektor x), CMyVektor x);
CMyVektor gradientenverfahren(double f(CMyVektor x), CMyVektor x, double lambda = 1.0);