Лабораторные работы С++ (для ИВТ) / Готовые лабы С++ / Лаба3 / Laba 3 (1)

#include <iostream>
#include <cmath>
#include <windows.h>
using namespace std;

class Vector5D {
private:
    double coords[5];
    
public:
    Vector5D(double a = 0, double b = 0, double c = 0, double d = 0, double e = 0) {
        coords[0] = a; coords[1] = b; coords[2] = c; coords[3] = d; coords[4] = e;
    }
    
    // Сложение векторов
    Vector5D operator+(const Vector5D& other) const {
        return Vector5D(
            coords[0] + other.coords[0],
            coords[1] + other.coords[1],
            coords[2] + other.coords[2],
            coords[3] + other.coords[3],
            coords[4] + other.coords[4]
        );
    }
    
    // Вычитание векторов
    Vector5D operator-(const Vector5D& other) const {
        return Vector5D(
            coords[0] - other.coords[0],
            coords[1] - other.coords[1],
            coords[2] - other.coords[2],
            coords[3] - other.coords[3],
            coords[4] - other.coords[4]
        );
    }
    
    // Скалярное произведение
    double operator*(const Vector5D& other) const {
        double result = 0;
        for (int i = 0; i < 5; i++) {
            result += coords[i] * other.coords[i];
        }
        return result;
    }
    
    // Векторное произведение (операция %)
    Vector5D operator%(const Vector5D& other) const {
        return Vector5D(
            coords[1] * other.coords[2] - coords[2] * other.coords[1],
            coords[2] * other.coords[0] - coords[0] * other.coords[2],
            coords[0] * other.coords[1] - coords[1] * other.coords[0],
            0, 0  // В 5D векторное произведение определено только для первых 3 координат
        );
    }
    
    // Умножение на скаляр
    Vector5D operator*(double scalar) const {
        return Vector5D(
            coords[0] * scalar,
            coords[1] * scalar,
            coords[2] * scalar,
            coords[3] * scalar,
            coords[4] * scalar
        );
    }
    
    friend Vector5D operator*(double scalar, const Vector5D& vec);
    
    void print() const {
        cout << "(";
        for (int i = 0; i < 5; i++) {
            cout << coords[i];
            if (i < 4) cout << ", ";
        }
        cout << ")" << endl;
    }
    
    double& operator[](int index) { return coords[index]; }
    const double& operator[](int index) const { return coords[index]; }
};

Vector5D operator*(double scalar, const Vector5D& vec) {
    return vec * scalar;
}

int main() {
    SetConsoleOutputCP(65001);
    
    cout << "=== Задача 3.1 - Вектор в 5D пространстве ===" << endl;
    
    Vector5D v1(1, 2, 3, 4, 5);
    Vector5D v2(5, 4, 3, 2, 1);
    
    cout << "Вектор v1: "; v1.print();
    cout << "Вектор v2: "; v2.print();
    
    Vector5D sum = v1 + v2;
    cout << "Сумма v1 + v2: "; sum.print();
    
    Vector5D diff = v1 - v2;
    cout << "Разность v1 - v2: "; diff.print();
    
    double dot = v1 * v2;
    cout << "Скалярное произведение v1 * v2: " << dot << endl;
    
    Vector5D cross = v1 % v2;
    cout << "Векторное произведение v1 % v2: "; cross.print();
    
    Vector5D scaled = v1 * 2.5;
    cout << "v1 * 2.5: "; scaled.print();
    
    return 0;
}