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GFPDerivTest.cpp
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GFPDerivTest.cpp
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/*
*********************************************************************
* *
* Galois Field Arithmetic Library *
* Prototype: Galois Field Polynomial Derivative Test *
* Version: 0.0.1 *
* Author: Arash Partow - 2000 *
* URL: http://www.partow.net/projects/galois/index.html *
* *
* Copyright Notice: *
* Free use of this library is permitted under the guidelines and *
* in accordance with the most current version of the Common Public *
* License. *
* http://www.opensource.org/licenses/cpl.php *
* *
*********************************************************************
*/
/*
This is a test of the formal derivative capabilities of the GaloisFieldPolynomial
class. The test is based upon a problem in the book: The Art of Error Correcting
Coding.
On page 70 (Non-binary BCH codes: Reed-Solomon) it is assumed the formal derivative
of the polynomial phi is 1.
Where phi(x) = 1x^0 + 1x^1 + alpha^5x^2 + 0x^3 + alpha^5x^4
The code below demonstrates this fact.
*/
#include <iostream>
#include <stdlib.h>
#include <stdio.h>
#include "GaloisField.h"
#include "GaloisFieldElement.h"
#include "GaloisFieldPolynomial.h"
/*
p(x) = 1x^4+1x^3+0x^2+0x^1+1x^0
1 1 0 0 1
*/
unsigned int poly[5] = {1,0,0,1,1};
/*
A Galois Field of type GF(2^8)
*/
galois::GaloisField galois_field(4,poly);
int main(int argc, char *argv[])
{
std::cout << "Galois Field: " << std::endl << galois_field << std::endl;
galois::GaloisFieldElement gfe[5] = {
galois::GaloisFieldElement(&galois_field,galois_field.alpha(1)),
galois::GaloisFieldElement(&galois_field,galois_field.alpha(1)),
galois::GaloisFieldElement(&galois_field,galois_field.alpha(5)),
galois::GaloisFieldElement(&galois_field, 0),
galois::GaloisFieldElement(&galois_field,galois_field.alpha(5)),
};
galois::GaloisFieldPolynomial polynomial(&galois_field,4,gfe);
std::cout << "p(x) = " << polynomial << std::endl;
std::cout << "p'(x) = " << polynomial.derivative() << std::endl;
exit(EXIT_SUCCESS);
return true;
}