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prog task 3

#include "stdafx.h" #include <string> #include <iostream> using namespace std; class Expression //интерфейс для унарных операторов { public: virtual Expression *diff() const = 0; virtual ~Expression() {}; virtual string print() const = 0; }; class Expression2 : public Expression //для бинарных операторов, т.к. у них разные сигнатуры с унарным { protected: Expression *x1; Expression *x2; public: virtual ~Expression2() { delete x1; delete x2; } }; class Number : public Expression { private: int val; public: Number() : val() {}; Number(const int n) { val = n; } Expression *diff() const override; //override пговорит об изменении родительского метода string print() const override; ~Number(); }; Expression* Number::diff() const { return new Number(0); //дифференцируем число } Number::~Number() {} string Number::print() const { return to_string(val); } class Variable : public Expression { private: char name; public: Variable() : name() {}; Variable(const char obj) { name = obj; } Expression *diff() const override; string print() const override; ~Variable(); }; Expression* Variable::diff() const { return new Number(1); //дифференцируем переменную } Variable::~Variable() {} string Variable::print() const { return to_string(name); } class Sum : public Expression2 { public: Sum(Expression *a, Expression *b); Expression *diff() const override; string print() const override; }; Expression *Sum::diff() const { return new Sum(x1->diff(), x2->diff()); } string Sum::print() const { return "(" + x1->print() + " + " + x2->print() + ")"; } Sum::Sum(Expression *a, Expression *b) { x1 = a; x2 = b; } class Sub : public Expression2 { public: Sub(Expression *a, Expression *b); Expression *diff() const override; string print() const override; }; Sub::Sub(Expression *a, Expression *b) { x1 = a; x2 = b; } Expression *Sub::diff() const { return new Sub(x1->diff(), x2->diff()); } string Sub::print() const { return "(" + x1->print() + "-" + x2->print() + ")"; } class Mul : public Expression2 { public: Mul(Expression *a, Expression *b); Expression *diff() const override; string print() const override; }; Mul::Mul(Expression *a, Expression *b) { x1 = a; x2 = b; } Expression *Mul::diff() const { return new Sum(new Mul(x1->diff(), x2), new Mul(x1, x2->diff())); } string Mul::print() const { return "(" + x1->print() + "*" + x2->print() + ")"; } class Div : public Expression2 { public: Div(Expression *a, Expression *b); Expression *diff() const override; string print() const override; }; Div::Div(Expression *a, Expression *b) { x1 = a; x2 = b; } Expression *Div::diff() const { return new Div(new Sub(new Mul(x1->diff(), x2), new Mul(x1, x2->diff())), new Mul(x2, x2)); } string Div::print() const { return "(" + x1->print() + "/" + x2->print() + ")"; } class Exp : public Expression { private: //нужна, тк аргумент тоже может быть функцией Expression *x; public: Exp(Expression *val) : x(val) {}; Expression *diff() const override; string print() const override; ~Exp() override; //?? зачем }; Expression *Exp::diff() const { return new Mul(x->diff(), new Exp(x)); } string Exp::print() const { return "exp(" + x->print() + ")"; } Exp::~Exp() { delete x; } class Ln : public Expression { private: Expression *x; public: Ln(Expression *val) : x(val) {}; Expression *diff() const override;; string print() const override; ~Ln() override; }; Expression *Ln::diff() const { return new Mul(x->diff(), new Div(new Number(1), x)); } string Ln::print() const { return "ln(" + x->print() + ")"; } Ln::~Ln() { delete x; } int main() { Expression * test = new Exp(new Variable('x')); //пример, как задавать функции cout << test->print() << endl; cout << test->diff()->print(); system("pause"); return 0; }

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