Matrix Library

A C library for matrix operations, including basic, advanced, and utility functions.

Structures

• Matrix: Represents a matrix with rows, columns, and float data.
• MatrixRegistry: Manages matrix memory for release.

Main Functions

Creation and Management

• Matrix create_matrix(int rows, int cols, float val): Creates an initialized matrix.
• void free_registry(): Frees memory of all matrices.

Basic Operations

• ErrorCode sum(Matrix a, Matrix b, Matrix r): Adds matrices.
• ErrorCode multiply(Matrix a, Matrix b, Matrix r): Matrix multiplication.
• ErrorCode transpose(Matrix a, Matrix r): Transposition.
• Scalar operations: sum_number, multiply_number, etc.

Utilities

• void show(Matrix a): Prints the matrix.
• ErrorCode copy_matrix(Matrix* a, Matrix* r): Copies matrices.
• void fill(Matrix a, float n): Fills with constant value.

Advanced Operations

• ErrorCode determinant(Matrix a, Matrix r, float* det): Computes determinant.
• ErrorCode inverse(Matrix a, Matrix r): Computes inverse.
• ErrorCode decomp_PLU(Matrix a, Matrix L, Matrix U, Matrix P): PLU decomposition.
• ErrorCode solve_PLU(const Matrix a, const Matrix L, const Matrix U, const Matrix P, const Matrix b, Matrix x): Solves linear systems.

Compilation

Use the Makefile:

make

This compiles the library and the matrix_app executable.

Usage

Include the headers in your code:

#include "matrix.h"
#include "operations_basic.h"
// and other headers like operations_utils.h, operations.h

int main() {
    Matrix a = create_matrix(2, 2, 1.0);
    show(a);
    free_registry();
    return 0;
}

Errors

Error codes are defined in errores.h. Check the return of functions that return ErrorCode.

Dependencies

• Standard C (stdlib, stdio, etc.).
• For randomness: uses srand and rand.

Contribution

Add functions in the corresponding files and update headers with Doxygen documentation.