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main.cpp
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main.cpp
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#include <iostream>
#include <string>
#include "Matrix.h"
#include "Fraction.h"
using namespace std;
/*
* Prototypes
*/
Matrix<Fraction> fillMatrix(int m, int n, bool input_assist);
int getRows();
int getCols();
/*
* Main function
*/
static bool input_assist = true;
int main()
{
//Variables
Matrix<Fraction> running_matrix(1,1);
string input;
bool prev_cleared = true;
bool finished = false;
const int NUM_CMDS = 22;
const string cmds[NUM_CMDS] =
{
"help", "quit", "toggleinput", "clear", "credit", "empty",
"add", "subtract", "multiply", "transpose", "dotproduct", "project", "print",
"invert", "determinant", "echelon", "gaussjordan", "columnspace", "nullspace", "solvematrix", "gramschmidt", "eigenvectors"
};
enum Command
{
//QoL Commands
help, quit, toggleinput, clear, credit, empty,
//Matrix Arithmetic
add, subtract, multiply, transpose, dotproduct, project, print,
//Matrix Operations
invert, determinant, echelon, gaussjordan, columnspace, nullspace, solvematrix, gramschmidt, eigenvectors
};
//Entering the program
cout << "--- Matrix Calculator ---" << endl;
//Calculator Loop
while(!finished)
{
//Getting user input
cout << "\nEnter a command: ";
cin >> input;
cout << endl;
//Setting command based off user input
int cmd = empty;
for (int i = 0; i < NUM_CMDS; i++)
{
if (input == cmds[i])
{
cmd = i;
i = NUM_CMDS;
}
else
{
cmd = empty;
}
}
switch (cmd)
{
/*
* Matrix Arithmetic
*/
case add:
{
if(prev_cleared)
{
cout << "Enter matrix 1:" << endl;
int m = getRows();
int n = getCols();
running_matrix = fillMatrix(m, n, input_assist);
}
else{
cout << "Matrix 1:\n" << running_matrix << endl;
}
Matrix<Fraction> A = running_matrix;
Matrix<Fraction> B;
cout << "Enter matrix 2:" << endl;
B = fillMatrix(A.m, A.n, input_assist);
prev_cleared = false;
running_matrix = (A + B);
cout << running_matrix << endl;
break;
}
case subtract:
{
if(prev_cleared)
{
cout << "Enter matrix 1:" << endl;
int m = getRows();
int n = getCols();
running_matrix = fillMatrix(m, n, input_assist);
}
else{
cout << "Matrix 1:\n" << running_matrix << endl;
}
Matrix<Fraction> A = running_matrix;
Matrix<Fraction> B;
cout << "Enter matrix 2:" << endl;
B = fillMatrix(A.m, A.n, input_assist);
prev_cleared = false;
running_matrix = (A - B);
cout << running_matrix << endl;
break;
}
case multiply:
{
if(prev_cleared)
{
cout << "Enter matrix 1:" << endl;
int m = getRows();
int n = getCols();
running_matrix = fillMatrix(m, n, input_assist);
}
else{
cout << "Matrix 1:\n" << running_matrix << endl;
}
Matrix<Fraction> A = running_matrix;
Matrix<Fraction> B;
cout << "Enter matrix 2:" << endl;
int n = getCols();
B = fillMatrix(A.n, n, input_assist);
prev_cleared = false;
running_matrix = (A * B);
cout << running_matrix << endl;
break;
}
case transpose:
{
if(prev_cleared)
{
cout << "Enter matrix:" << endl;
int m = getRows();
int n = getCols();
running_matrix = fillMatrix(m, n, input_assist);
}
prev_cleared = false;
running_matrix.transpose();
cout << running_matrix << endl;
break;
}
case dotproduct:
{
if(prev_cleared)
{
cout << "Enter matrix:" << endl;
int n = getCols();
running_matrix = fillMatrix(1, n, input_assist);
}
Matrix<Fraction> B;
cout << "Enter matrix 2:" << endl;
B = fillMatrix(running_matrix.n, 1, input_assist);
prev_cleared = false;
Fraction ans = running_matrix.dotproduct(B);
cout << ans << endl;
break;
}
case project:
{
if(prev_cleared)
{
cout << "Enter matrix:" << endl;
int m = getRows();
int n = getCols();
running_matrix = fillMatrix(m, n, input_assist);
}
Matrix<Fraction> b;
Matrix<Fraction> p;
cout << "Enter vector:" << endl;
b = fillMatrix(running_matrix.m, 1, input_assist);
prev_cleared = false;
p = b.project(running_matrix);
cout << p << endl;
break;
}
case print:
{
if(prev_cleared)
{
cout << "Nothing to print." << endl;
}
cout << running_matrix << endl;
break;
}
/*
* Matrix Operations
*/
case invert:
{
if(prev_cleared)
{
cout << "Enter matrix:" << endl;
int m = getRows();
int n = getCols();
running_matrix = fillMatrix(m, n, input_assist);
}
prev_cleared = false;
bool was_invertible;
was_invertible = running_matrix.invert();
if(was_invertible)
{
cout << running_matrix << endl;
}
else
{
cout << "That matrix has no inverse." << endl;
}
break;
}
case determinant:
{
if(prev_cleared)
{
cout << "Enter matrix:" << endl;
int m = getRows();
int n = getCols();
running_matrix = fillMatrix(m, n, input_assist);
}
prev_cleared = false;
Fraction num = running_matrix.determinant();
cout << num << endl;
break;
}
case echelon:
{
if(prev_cleared)
{
cout << "Enter matrix:" << endl;
int m = getRows();
int n = getCols();
running_matrix = fillMatrix(m, n, input_assist);
}
prev_cleared = false;
running_matrix.rowechelon();
cout << running_matrix << endl;
break;
}
case gaussjordan:
{
if(prev_cleared)
{
cout << "Enter matrix:" << endl;
int m = getRows();
int n = getCols();
running_matrix = fillMatrix(m, n, input_assist);
}
prev_cleared = false;
running_matrix.gaussjordan();
cout << running_matrix << endl;
break;
}
case columnspace:
{
if(prev_cleared)
{
cout << "Enter matrix:" << endl;
int m = getRows();
int n = getCols();
running_matrix = fillMatrix(m, n, input_assist);
}
prev_cleared = false;
running_matrix.columnspace();
break;
}
case nullspace:
{
if(prev_cleared)
{
cout << "Enter matrix:" << endl;
int m = getRows();
int n = getCols();
running_matrix = fillMatrix(m, n, input_assist);
}
prev_cleared = false;
running_matrix.nullspace();
break;
}
case solvematrix:
{
if(prev_cleared)
{
cout << "Enter matrix:" << endl;
int m = getRows();
int n = getCols();
running_matrix = fillMatrix(m, n, input_assist);
}
Matrix<Fraction> b;
cout << "Enter vector:" << endl;
b = fillMatrix(running_matrix.m, 1, input_assist);
prev_cleared = false;
running_matrix.solvematrix(b);
break;
}
case eigenvectors:
{
if(prev_cleared)
{
cout << "Enter matrix:" << endl;
int m = getRows();
int n = getCols();
running_matrix = fillMatrix(m, n, input_assist);
}
prev_cleared = false;
running_matrix.eigenvectors();
break;
}
/*
* QoL Commands
*/
case help:
cout << "List of commands:" << endl;
for(int i = 0; i < NUM_CMDS; i++)
{
cout << "\t- " << cmds[i] << endl;
}
break;
case quit:
finished = true;
break;
case toggleinput:
cout << "Input assist: " << (input_assist?"Off":"On") << endl;
input_assist = !input_assist;
break;
case clear:
cout << "Previous matrix cleared." << endl;
prev_cleared = true;
break;
case credit:
cout << "This calculator was made by Aiden Carpenter." << endl;
cout << "My public GitHub account is CaptainCarpensir if you'd like to see any of my other projects." << endl;
cout << "\tThank you for using this!" << endl;
break;
case empty:
cout << "Invalid command. Use \"help\" to see a list of commands." << endl;
break;
default:
cout << "Invalid command. Use \"help\" to see a list of commands." << endl;
break;
}
}
//Exit program
cout << "--- Thank you for using this calculator! ---" << endl;
}
/*
* Helper functions
*/
//Fills a matrix of size M x N based off of standard input stream
//Only fills matrices templated with fraction
Matrix<Fraction> fillMatrix(int m, int n, bool input_assist)
{
Matrix<Fraction> A(m,n);
for(int i = 0; i < m; i++)
{
for(int j = 0; j < n; j++)
{
if(input_assist)
{
cout << "\tEnter val in pos (" << i + 1 << ", " << j + 1 << "): ";
}
string val;
string num;
string den;
cin >> val;
int n = val.find('/');
if(n != -1)
{
num = val.substr(0,n);
den = val.substr(n+1);
}
else{
num = val;
den = "1";
}
Fraction matrixVal(stoi(num), stoi(den));
A.insertVal(matrixVal, i, j);
}
}
return A;
}
int getRows()
{
int rows;
if(input_assist) cout << "\tEnter num rows: ";
cin >> rows;
if(rows <= 0) rows = 1;
return rows;
}
int getCols()
{
int cols;
if(input_assist) cout << "\tEnter num cols: ";
cin >> cols;
if(cols <= 0) cols = 1;
return cols;
}