Determinant Calculator

Overview

This program computes the determinant of an NxN matrix from a text file using Gaussian Elimination. It reads the matrix from the file, stores it in a vector, and calculates the determinant using the DeterminantN class.

Requirements

• C++11 or later (the program was written using C++14).
• A compiler that supports C++11 (e.g., GCC 4.9+, Clang 3.4+, MSVC 2015+)

Files

Ensure the following files are in the same directory:

• main.cpp
• readFromFile.hpp
• readFromFile.cpp
• determinantGauss.hpp
• determinantGauss.cpp

Usage

1. Compile the program:

   g++ -std=c++14 main.cpp readFromFile.cpp determinantGauss.cpp -o determinant_calculator

2. Run the program:

   ./determinant_calculator

3. Enter the filename containing the matrix when prompted.

The matrix in the file should be formatted in the following format:

4
12.2  0.5   11.0  3.1
4.0   63.5  12.8  0.1
0.0   1.2   -0.7  16.0
6.31  9.85  1.15  0.86

The first line should contain N, the size of the NxN matrix. The rest of the file should contain N^2 floating-point numbers, separates only by spaces, tabs or new lines. Ensure that your input files are formatted correctly for the program to process them successfully.

Test Data

Test matrices are available in the "test_data" directory.
For example, to test a 4×4 matrix, enter:

test_data/det4.txt

Output

• The program prints the determinant of the given matrix.
• There may be inaccuracies, associated with rounding errors. The program uses long double for higher precision.

Error Handling

• If the file cannot be opened, an error message is displayed.