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NewtonMethod.h
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NewtonMethod.h
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#ifndef __NEWTONMETHOD__
#define __NEWTONMETHOD__
#include "polynomial.h"
#include <vector>
class NewtonMethod
{
private:
mpf_class start_x{0,precision};
//for normal Newton
polynomial u;
polynomial derivate_u;
// for Taylor series method
vector<polynomial> coeff_ODE;
vector<polynomial> d_coeff_ODE;
vector<polynomial> d2_coeff_ODE;
public:
NewtonMethod() = default;
NewtonMethod(mpf_class _start_x, vector<polynomial> _initial_function, vector<polynomial> _coeff_ODE);
//_initial_function = {u,u'}
NewtonMethod(mpf_class _start_x, vector<polynomial> _initial_function);
mpf_class compute_root_with_taylor(mpz_class taylor_order,mpz_class accuracy);
mpf_class compute_root(mpz_class accuracy);
void set_start_x(mpf_class _start_x);
~NewtonMethod() = default;
private:
mpf_class compute_eps(mpz_class accuracy);
vector<mpf_class> compute_derivates(mpf_class current_x,mpz_class order);
vector<mpf_class> compute_taylor_value(mpf_class current_x, mpf_class next_x,vector<mpf_class>& current_ukx,mpz_class tylor_order);
};
#else
//do nothing;
#endif