lab7.cpp

#include <iostream>
#include <iostream>
#include <cstdlib>   // for srand() and rand()
#include <ctime>     // for time()
using namespace std;

void fillCubeRandomly(int cube[][3][3]) {
    srand(time(nullptr));
    for (int x = 0; x < 3; ++x) {
        for (int y = 0; y < 3; ++y) {
            for (int z = 0; z < 3; ++z) {
                cube[x][y][z] = rand() % 50;
            }
        }
    }
}

void printCube(int cube[][3][3]) {
    cout << "Print the cube:" << endl;
    for (int x = 0; x < 3; ++x) {
        cout << "Slice " << x << endl;
        for (int y = 0; y < 3; ++y) {
            for (int z = 0; z < 3; ++z) {
                cout << cube[x][y][z] << '\t';
            }
            cout << endl;
        }
    }
}

int isMagicCube(int cube[][3][3]) {
    int magic_number = 0;
    // check all rows
    for (int y = 0; y < 3; ++y) {
        for (int z = 0; z < 3; ++z) {
            int sum = cube[0][y][z] + cube[1][y][z] + cube[2][y][z];
            if (magic_number == 0) {
                magic_number = sum;
            } else if (sum != magic_number) {
                return 0;
            }
        }
    }

    // check all columns
    for (int x = 0; x < 3; ++x) {
        for (int z = 0; z < 3; ++z) {
            int sum = cube[x][0][z] + cube[x][1][z] + cube[x][2][z];
            if (sum != magic_number) {
                return 0;
            }
        }
    }

    // check all pillars
    for (int x = 0; x < 3; ++x) {
        for (int y = 0; y < 3; ++y) {
            int sum = cube[x][y][0] + cube[x][y][1] + cube[x][y][2];
            if (sum != magic_number) {
                return 0;
            }
        }
    }

    // check all diagonal
    for (int d = 0; d < 3; ++d) {
        int sum1 = cube[0][d][d] + cube[1][d][d] + cube[2][d][d];
        int sum2 = cube[0][d][2-d] + cube[1][d][2-d] + cube[2][d][2-d];
        if (sum1 != magic_number || sum2 != magic_number) {
            return 0;
        }
    }

    // check all trigonal 1
    for (int t = 0; t < 3; ++t) {
        int sum1 = cube[t][0][t] + cube[t][1][t] + cube[t][2][t];
        int sum2 = cube[t][0][2-t] + cube[t][1][2-t] + cube[t][2][2-t];
        if (sum1 != magic_number || sum2 != magic_number) {
            return 0;
        }
    }

    // check all trigonal 2
    for (int t = 0; t < 3; ++t) {
        int sum1 = cube[t][t][0] + cube[t][t][1] + cube[t][t][2];
        int sum2 = cube[t][2-t][0] + cube[t][2-t][1] + cube[t][2-t][2];
        if (sum1 != magic_number || sum2 != magic_number) {
            return 0;
        }
    }

    return magic_number;
}

int main()
{
	int magicCubeSample[3][3][3] = {
			20, 16, 6,
			4, 21, 17,
			18, 5, 19,
			13, 3, 26,
			27, 14, 1,
			2, 25, 15,
			9, 23, 10,
			11, 7, 24,
			22, 12, 8};
	int cube[3][3][3] = {};

	int magicNumber = 0;

	// Generate a cube randomly and test whether it is magic cube
	cout << "Generate a cube randomly." << endl;
	fillCubeRandomly(cube);
	printCube(cube);

	magicNumber = isMagicCube(cube);
	if (magicNumber){
		cout << "It is a magic cube" << endl;
		cout << "The magic number is " << magicNumber << endl;
	}
	else {
		cout << "It is not a magic cube" << endl;
	}

	cout << endl << endl;

	// Since most likely the random generated cube is not magic cube
	// Test isMagicCube function with a magic cube sample
	cout << "Test isMagicCube function with a magic cube sample." << endl;
	printCube(cube);
	magicNumber = isMagicCube(magicCubeSample);
	if (magicNumber){
		cout << "It is a magic cube" << endl;
		cout << "The magic number is " << magicNumber << endl;
	}
	else {
		cout << "It is not a magic cube" << endl;
	}

	return 0;
}