differential.hpp

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#ifndef DIFFERENTIAL_HPP
#define DIFFERENTIAL_HPP
#include <string>
#include <vector>
 
namespace gpmp {
 
class Term {
  public:
    double coefficient; 
    int exponent;       
    Term(double coef, int exp) : coefficient(coef), exponent(exp) {
    }
};
 
class Differential {
  public:
    std::vector<Term> terms; 
    Differential operator+(const Differential &other) const;
 
    Differential operator*(const Differential &other) const;
 
    void add_term(double coefficient, int exponent);
 
    void display() const;
 
    Differential power_rule() const;
 
    Differential product_rule(const Differential &other) const;
 
    Differential quotient_rule(const Differential &other) const;
 
    Differential chain_rule(const Differential &inner) const;
 
    Differential nth_derivative(int n) const;
 
    double eval(double x) const;
 
    double limit_at(double x) const;
 
    double limit_at_infinity() const;
};
 
} // namespace gpmp
 
#endif