Functions.cpp

#include "Classes.h"
#include "Exceptions.h"

int menuToDo(vector <Matrix> Matrixs, char* fileName, int sw1)
{
	if (sw1 == 3)
	{
		Matrix M1;
		ifstream fileTxt(fileName);
		if (!fileTxt)
		{
			throw SuchFileDoesNotExist("\nSuch file does not exist\nCreate it first\n");
		}
		while (fileTxt)
		{
			Matrixs.push_back(M1 << fileTxt);
		}
		Matrixs.pop_back();
		fileTxt.close();
	}
	if (sw1 == 4)
	{
		Matrix M1;

		ifstream fileBin(fileName, ios::binary);
		if (!fileBin)
			throw SuchFileDoesNotExist("\nSuch file does not exist\nCreate it first\n");
		while (fileBin)
		{
			Matrixs.push_back(M1.ReadBin(fileBin));
		}
		Matrixs.pop_back();
		fileBin.close();
	}
	int sw;
	int signal = 0;
	do{
		cout << "Choose what you want to do: " << endl;
		cout << "1) Add new Matrix;" << endl;
		cout << "2) Add new Elementary Matrix;" << endl;
		cout << "3) Add new Diagonal Matrix;" << endl;
		cout << "4) Add new Upper Triangle Matrix;" << endl;
		cout << "5) Add new Down Triangle Matrix;" << endl;
		cout << "6) Add new Simmetric Matrix;" << endl;
		cout << "7) Add new Random Matrix;" << endl;
		cout << "8) Delete Matrix;" << endl;
		cout << "9) Print Matrix on display" << endl;
		cout << "10) Summarise;" << endl;
		cout << "11) Subtract;" << endl;
		cout << "12) Multiply by number;" << endl;
		cout << "13) Multiply by Matrix;" << endl;
		cout << "14) Transpose Matrix;" << endl;
		cout << "15) Rank;" << endl;
		cout << "16) Inverted matrix;" << endl;
		cout << "17) Minor;" << endl;
		cout << "18) Adamar;" << endl;
		cout << "19) Matrix trace;" << endl;
		cout << "20) Square Matrix Determinant;" << endl;
		cout << "21) Scalar;" << endl;
		cout << "22) Outer;" << endl;
		cout << "23) Norm;" << endl;
		cout << "24) Max Norm;" << endl;
		cout << "25) Mat norm;" << endl;
		cout << "26) Vectors Angle;" << endl;
		cout << "27) Clear console;" << endl;
		cout << "28) Cross;" << endl;
		cout << "0) Exit." << endl;
		cin >> sw;

		switch (sw) {
		case 1: {
					int n, m;
					cout << "Input your Matrix dimention :";
					cin >> n >> m;
					Matrix M(n, m);
					for (int i = 0; i < n; i++) {
						for (int j = 0; j < m; j++) {
							//M.Display(signal);
							cin >> M.Element(i, j);
							//system("cls");
						}
					}
					M.Display(signal);
					Matrixs.push_back(M);

					break;
		}
		case 2: {
					int n, m;
					cout << "Input your Matrix dimention :";
					cin >> n >> m;
					Elementary M(n, m);

					Matrixs.push_back(M);

					break;
		}
		case 3: {
					int n, m;
					cout << "Input your Matrix dimention :";
					cin >> n >> m;
					Diagonal M(n, m);
					for (int i = 0; i < n; i++) {
						//M.Display(signal);
						cin >> M.Element(i, i);
						//system("cls");
					}
					M.Display(signal);
					Matrixs.push_back(M);

					break;
		}
		case 4:{
				   int n, m;
				   cout << "Input your Matrix dimention :";
				   cin >> n >> m;
				   UpperTriang M(n, m);
				   for (int i = n - 1; i > -1; i--) {
					   for (int j = 0; j <= i; j++) {
						   //M.Display(signal);
						   cin >> M.Element(i, j);
						   //system("cls");
					   }
				   }
				   M.Display(signal);
				   Matrixs.push_back(M);

				   break;
		}
		case 5:{
				   int n, m;
				   cout << "Input your Matrix dimention :";
				   cin >> n >> m;
				   DownTriang M(n, m);
				   for (int i = 0; i < n; i++) {
					   for (int j = i; j < n; j++) {
						   //M.Display(signal);
						   cin >> M.Element(i, j);
						   //system("cls");
					   }
				   }
				   M.Display(signal);
				   Matrixs.push_back(M);

				   break;
		}
		case 6:{
				   int n, m;
				   cout << "Input your Matrix dimention :";
				   cin >> n >> m;
				   Simmetric M(n, m);
				   for (int i = 0; i < n; i++) {
					   for (int j = i; j < n; j++) {
						   //M.Display(signal);
						   cin >> M.Element(i, j);
						   M.Element(j, i) = M.Element(i, j);
						   //system("cls");
					   }
				   }
				   M.Display(signal);
				   Matrixs.push_back(M);

				   break;
		}
		case 7:{
				   int n, m;
				   cout << "Input your Matrix dimention :";
				   cin >> n >> m;
				   Matrix M(n, m);
				   for (int i = 0; i < n; i++) {
					   for (int j = 0; j < m; j++) {
						   M.Element(i, j) = rand() % 10 + 1;
					   }
				   }
				   Matrixs.push_back(M);
				   break;
		}
		case 8: {
					int j;
					for (int i = 0; i < Matrixs.size(); i++) {
						cout << i + 1 << ") ";
						signal = 1;
						Matrixs[i].Display(signal);
					}
					if (Matrixs.size() == 0)
						throw NotEnoughMatricies("\nNot enough matricies\nCreate them first\n");
					cout << "Choose Matrix you want to delete or '0' to go back to menu: " << endl;
					cin >> j;
					if (abs(j) > Matrixs.size() || j <= 0)
						throw IncorrectNumberInput("\nIncorrect number input\n");
					if (Matrixs.size() == 1)
						Matrixs.pop_back();
					else {
						Matrixs.erase(Matrixs.begin() + j - 1);
					}
					signal = 0;
					break;
		}
		case 9: {
					//system("cls");
					if (Matrixs.size() == 0)
						throw NotEnoughMatricies("\nNot enough matricies\nCreate them first\n");
					for (int k = 0; k < Matrixs.size(); k++) {
						cout << k + 1 << ") ";
						signal = 1;
						Matrixs.at(k).Display(signal);
					}
					signal = 0;
					break;
		}
		case 10: {
					 int a, b;
					 for (int i = 0; i < Matrixs.size(); i++) {
						 cout << i + 1 << ") ";
						 signal = 1;
						 Matrixs[i].Display(signal);
					 }
					 if (Matrixs.size() == 0 || Matrixs.size() == 1)
						 throw NotEnoughMatricies("\nNot enough matricies\nCreate them first\n");
					 cout << "Choose 2 Matrix you want to summarise: ";
					 cin >> a >> b;
					 if (a == b)
						 throw MatriciesShouldHaveDifferentNumbers("\nMatricies should have different numbers\n");
					 if (abs(a) > Matrixs.size() || a <= 0 || abs(b) > Matrixs.size() || b <= 0)
						 throw IncorrectNumberInput("\nIncorrect number input\n");
					 Matrixs.at(a - 1) + Matrixs.at(b - 1);
					 signal = 0;
					 break;
		}
		case 11: {
					 int a, b;
					 for (int i = 0; i < Matrixs.size(); i++) {
						 cout << i + 1 << ") ";
						 signal = 1;
						 Matrixs[i].Display(signal);
					 }
					 if (Matrixs.size() == 0 || Matrixs.size() == 1)
						 throw NotEnoughMatricies("\nNot enough matricies\nCreate them first\n");
					 cout << "Choose 2 Matrix you want to subtract: ";
					 cin >> a >> b;
					 if (a == b)
						 throw MatriciesShouldHaveDifferentNumbers("\nMatricies should have different numbers\n");
					 if (abs(a) > Matrixs.size() || a <= 0 || abs(b) > Matrixs.size() || b <= 0)
						 throw IncorrectNumberInput("\nIncorrect number input\n");
					 for (int i = 0; i < Matrixs.size(); i++)
					 if (a != i || b != i)
						 Matrixs.at(a - 1) - Matrixs.at(b - 1);
					 signal = 0;
					 break;
		}
		case 12: {
					 int a;
					 double b;
					 for (int i = 0; i < Matrixs.size(); i++) {
						 cout << i + 1 << ") ";
						 signal = 1;
						 Matrixs[i].Display(signal);
					 }
					 if (Matrixs.size() == 0)
						 throw NotEnoughMatricies("\nNot enough matricies\nCreate them first\n");
					 cout << "Choose Matrix you want to multiply and by what (can be double): ";
					 cin >> a >> b;
					 if (a == b)
						 throw MatriciesShouldHaveDifferentNumbers("\nMatricies should have different numbers\n");
					 if (abs(a) > Matrixs.size() || a <= 0 || abs(b) > Matrixs.size() || b <= 0)
						 throw IncorrectNumberInput("\nIncorrect number input\n");
					 Matrixs.at(a - 1) * b;
					 signal = 0;
					 break;
		}
		case 13: {
					 int a, b;
					 for (int i = 0; i < Matrixs.size(); i++) {
						 cout << i + 1 << ") ";
						 signal = 1;
						 Matrixs[i].Display(signal);
					 }
					 if (Matrixs.size() == 0 || Matrixs.size() == 1)
						 throw NotEnoughMatricies("\nNot enough matricies\nCreate them first\n");
					 cout << "Choose 2 Matrix you want to multiply: ";
					 cin >> a >> b;
					 if (a == b)
						 throw MatriciesShouldHaveDifferentNumbers("\nMatricies should have different numbers\n");
					 if (abs(a) > Matrixs.size() || a <= 0 || abs(b) > Matrixs.size() || b <= 0)
						 throw IncorrectNumberInput("\nIncorrect number input\n");
					 Matrixs.push_back(Matrixs.at(a - 1) * Matrixs.at(b - 1));
					 signal = 0;
					 break;
		}
		case 14: {
					 int a;
					 for (int i = 0; i < Matrixs.size(); i++) {
						 cout << i + 1 << ") ";
						 signal = 1;
						 Matrixs[i].Display(signal);
					 }
					 if (Matrixs.size() == 0)
						 throw NotEnoughMatricies("\nNot enough matricies\nCreate them first\n");
					 cout << "Choose 1 Matrix you want to transpose: ";
					 cin >> a;
					 if (abs(a) > Matrixs.size() || a <= 0)
						 throw IncorrectNumberInput("\nIncorrect number input\n");
					 Matrixs.push_back(Matrixs.at(a - 1).Transpose());
					 signal = 0;
					 break;
		}
		case 15: {
					 int a;
					 for (int i = 0; i < Matrixs.size(); i++) {
						 cout << i + 1 << ") ";
						 signal = 1;
						 Matrixs[i].Display(signal);
					 }
					 if (Matrixs.size() == 0)
						 throw NotEnoughMatricies("\nNot enough matricies\nCreate them first\n");
					 cout << "Choose 1 Matrix which rank you want to know: ";
					 cin >> a;
					 if (abs(a) > Matrixs.size() || a <= 0)
						 throw IncorrectNumberInput("\nIncorrect number input\n");
					 cout << "\nRank = " << Matrixs.at(a - 1).Rank() << '\n' << endl;
					 signal = 0;
					 break;
		}
		case 16: {
					 int a;
					 for (int i = 0; i < Matrixs.size(); i++) {
						 cout << i + 1 << ") ";
						 signal = 1;
						 Matrixs[i].Display(signal);
					 }
					 if (Matrixs.size() == 0)
						 throw NotEnoughMatricies("\nNot enough matricies\nCreate them first\n");
					 cout << "Choose 1 Matrix to invert: ";
					 cin >> a;
					 if (abs(a) > Matrixs.size() || a <= 0)
						 throw IncorrectNumberInput("\nIncorrect number input\n");
					 Matrixs.push_back(Matrixs.at(a - 1).InvertMat());
					 signal = 0;
					 break;
		}
		case 17: {
					 int a, i, j;
					 for (int i = 0; i < Matrixs.size(); i++) {
						 cout << i + 1 << ") ";
						 signal = 1;
						 Matrixs[i].Display(signal);
					 }
					 if (Matrixs.size() == 0)
						 throw NotEnoughMatricies("\nNot enough matricies\nCreate them first\n");
					 cout << "Choose 1 Matrix view minor and 2 numbers (row and column): ";
					 cin >> a >> i >> j;
					 if (!Matrixs.at(a - 1).Element(i, j))
						 throw MatriciesShouldHaveDifferentNumbers("\nMatricies should have different numbers\n");
					 if (abs(a) > Matrixs.size() || a <= 0)
						 throw IncorrectNumberInput("\nIncorrect number input\n");
					 cout << '\n' << endl;
					 Matrixs.at(a - 1).DisplayDet(i - 1, j - 1);
					 cout << '\n' << endl;
					 signal = 0;
					 break;
		}
		case 18: {
					 int a, b;
					 for (int i = 0; i < Matrixs.size(); i++) {
						 cout << i + 1 << ") ";
						 signal = 1;
						 Matrixs[i].Display(signal);
					 }
					 if (Matrixs.size() == 0 || Matrixs.size() == 1)
						 throw NotEnoughMatricies("\nNot enough matricies\nCreate them first\n");
					 cout << "Choose 2 Matrix you want to multiply whit Adamar multiplication: ";
					 cin >> a >> b;
					 if (a == b)
						 throw MatriciesShouldHaveDifferentNumbers("\nMatricies should have different numbers\n");
					 if (abs(a) > Matrixs.size() || a <= 0 || abs(b) > Matrixs.size() || b <= 0)
						 throw IncorrectNumberInput("\nIncorrect number input\n");
					 Matrixs.push_back(Matrixs.at(a - 1).Adamar(Matrixs.at(b - 1)));
					 signal = 0;
					 break;
		}
		case 19:{
					int a;
					for (int i = 0; i < Matrixs.size(); i++) {
						cout << i + 1 << ") ";
						signal = 1;
						Matrixs[i].Display(signal);
					}
					if (Matrixs.size() == 0)
						throw NotEnoughMatricies("\nNot enough matricies\nCreate them first\n");
					cout << "Choose 1 Matrix which trace you want to know: ";
					cin >> a;
					if (abs(a) > Matrixs.size() || a <= 0)
						throw IncorrectNumberInput("\nIncorrect number input\n");
					cout << "Choosen Matrix trace : " << Matrixs.at(a - 1).Trace() << endl;
					signal = 0;
					break;
		}
		case 20:{
					int a;
					for (int i = 0; i < Matrixs.size(); i++) {
						cout << i + 1 << ") ";
						signal = 1;
						Matrixs[i].Display(signal);
					}
					if (Matrixs.size() == 0)
						throw NotEnoughMatricies("\nNot enough matricies\nCreate them first\n");
					cout << "Choose 1 Matrix which Determinant you want to know: ";
					cin >> a;
					if (abs(a) > Matrixs.size() || a <= 0)
						throw IncorrectNumberInput("\nIncorrect number input\n");
					//Matrix Matr = Matrixs[a - 1];
					cout << "\nChoosen Matrix Det : " << Matrixs[a - 1].DetByGauss() << '\n' << endl;
					//Matr.~Matrix();
					signal = 0;
					break;
		}
		case 21:{
					int a, b;
					for (int i = 0; i < Matrixs.size(); i++) {
						cout << i + 1 << ") ";
						signal = 1;
						Matrixs[i].Display(signal);
					}
					if (Matrixs.size() == 0 || Matrixs.size() == 1)
						throw NotEnoughMatricies("\nNot enough matricies\nCreate them first\n");
					cout << "Choose 2 Vectors you want to scalar multiply: ";
					cin >> a >> b;
					if (a == b)
						throw MatriciesShouldHaveDifferentNumbers("\nMatricies should have different numbers\n");
					if (abs(a) > Matrixs.size() || a <= 0 || abs(b) > Matrixs.size() || b <= 0)
						throw IncorrectNumberInput("\nIncorrect number input\n");
					cout << "\nScalar = " << Matrixs.at(a - 1).Scalar(Matrixs.at(b - 1)) << '\n' << endl;
					signal = 0;
					break;
		}
		case 22:{
					int a, b;
					for (int i = 0; i < Matrixs.size(); i++) {
						cout << i + 1 << ") ";
						signal = 1;
						Matrixs[i].Display(signal);
					}
					if (Matrixs.size() == 0 || Matrixs.size() == 1)
						throw NotEnoughMatricies("\nNot enough matricies\nCreate them first\n");
					cout << "Choose 2 Vectors you want to outer multiply: ";
					cin >> a >> b;
					if (a == b)
						throw MatriciesShouldHaveDifferentNumbers("\nMatricies should have different numbers\n");
					if (abs(a) > Matrixs.size() || a <= 0 || abs(b) > Matrixs.size() || b <= 0)
						throw IncorrectNumberInput("\nIncorrect number input\n");
					cout << "\nExternal multiply: " << endl;
					Matrixs.at(a - 1).Vect(Matrixs.at(b - 1)).Display(0);
					signal = 0;
					break;
		}
		case 23:{
					int a;
					for (int i = 0; i < Matrixs.size(); i++) {
						cout << i + 1 << ") ";
						signal = 1;
						Matrixs[i].Display(signal);
					}
					if (Matrixs.size() == 0)
						throw NotEnoughMatricies("\nNot enough matricies\nCreate them first\n");
					cout << "Choose Vector that norm you want to know (Euclidean): ";
					cin >> a;
					if (abs(a) > Matrixs.size() || a <= 0)
						throw IncorrectNumberInput("\nIncorrect number input\n");
					cout << "\nNorm = " << Matrixs.at(a - 1).Norm() << '\n' << endl;
					signal = 0;
					break;
		}
		case 24:{
					int a;
					for (int i = 0; i < Matrixs.size(); i++) {
						cout << i + 1 << ") ";
						signal = 1;
						Matrixs[i].Display(signal);
					}
					if (Matrixs.size() == 0)
						throw NotEnoughMatricies("\nNot enough matricies\nCreate them first\n");
					cout << "Choose Vector that norm you want to know (Max): ";
					cin >> a;
					if (abs(a) > Matrixs.size() || a <= 0)
						throw IncorrectNumberInput("\nIncorrect number input\n");
					cout << "\nMax norm = " << Matrixs.at(a - 1).MaxNorm() << '\n' << endl;
					signal = 0;
					break;
		}
		case 25:{
					int a;
					for (int i = 0; i < Matrixs.size(); i++) {
						cout << i + 1 << ") ";
						signal = 1;
						Matrixs[i].Display(signal);
					}
					if (Matrixs.size() == 0)
						throw NotEnoughMatricies("\nNot enough matricies\nCreate them first\n");
					cout << "Choose Matrix that norm you want to know: ";
					cin >> a;
					if (abs(a) > Matrixs.size() || a <= 0)
						throw IncorrectNumberInput("\nIncorrect number input\n");
					cout << "\nMatrix norm = " << Matrixs.at(a - 1).MatNorm() << '\n' << endl;
					signal = 0;
					break;
		}
		case 26:{
					int a, b;
					for (int i = 0; i < Matrixs.size(); i++) {
						cout << i + 1 << ") ";
						signal = 1;
						Matrixs[i].Display(signal);
					}
					if (Matrixs.size() == 0 || Matrixs.size() == 1)
						throw NotEnoughMatricies("\nNot enough matricies\nCreate them first\n");
					cout << "Choose 2 Vectors which angle you want to know: ";
					cin >> a >> b;
					if (a == b)
						throw MatriciesShouldHaveDifferentNumbers("\nMatricies should have different numbers\n");
					if (abs(a) > Matrixs.size() || a <= 0 || abs(b) > Matrixs.size() || b <= 0)
						throw IncorrectNumberInput("\nIncorrect number input\n");
					cout << "\nAngle = " << Matrixs.at(a - 1).VectAngle(Matrixs.at(b - 1)) << '\n' << endl;
					signal = 0;
					break;
		}
		case 27: { system("cls");
			break;
		}
		case 28:{
					int a, b;
					for (int i = 0; i < Matrixs.size(); i++) {
						cout << i + 1 << ") ";
						signal = 1;
						Matrixs[i].Display(signal);
					}
					if (Matrixs.size() == 0 || Matrixs.size() == 1)
						throw NotEnoughMatricies("\nNot enough matricies\nCreate them first\n");
					cout << "Choose 2 Vectors to make cross: ";
					cin >> a >> b;
					if (a == b)
						throw MatriciesShouldHaveDifferentNumbers("\nMatricies should have different numbers\n");
					if (abs(a) > Matrixs.size() || a <= 0 || abs(b) > Matrixs.size() || b <= 0)
						throw IncorrectNumberInput("\nIncorrect number input\n");
					cout << "\nResulte = ";
					Matrixs.at(a - 1).Cross(Matrixs.at(b - 1)).Display(0);
					cout << endl;
					signal = 0;
					break;
		}
		case 0: {
					char eXit;
					do{
						cout << "Exit will rewrite the file with given set of Matrixs. \nAre you sure you want to exit? y/n\n";
						cin >> eXit;
						if (eXit == 'n') break;
						if (eXit == 'y') {
							if (fileName == "file.txt"){
								ofstream fileTxt_temp(fileName, ios_base::trunc);

								for (int i = 0; i < Matrixs.size(); i++)
									Matrixs.at(i) >> fileTxt_temp;
								fileTxt_temp.close();
							}
							if (fileName == "file.bin"){
								ofstream fileBin(fileName, ios_base::trunc | ios::binary);
								for (int i = 0; i < Matrixs.size(); i++)
									Matrixs.at(i).WriteBin(fileBin);
								//fwrite('e', sizeof(char), 1, fileName);
								fileBin.close();
							}
							return 0;
						}
					} while (eXit != 'n' || eXit != 'y');

		}
		default: return 0;
		}

	} while (sw != 0);
	return 0;
}