ch-05-ex-10-solution.cpp
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	/*
	* chapter-05-exercise-10.cpp
	*
	* Gauss with partial pivoting
	*
	* run the program as: ./ch-05-ex-10-solution Agauss.dat bgauss.dat
	*
	* Created on: Oct 11, 2012
	* Author: Radu Popescu <radu.popescu@epfl.ch>
	*/

	#include <cassert>
	#include <cmath>
	#include <cstdlib>
	#include <fstream>
	#include <iostream>

	#include "ArrayUtil.hpp"
	#include "Gauss.hpp"

	int main(int argc, char *argv[]) {
	if (argc != 3) {
	std::cout << "Missing arguments. Please run program as: "
	<< " ./ch-05-ex-06-solution Agauss.dat bgauss.dat" << std::endl;
	return -1;
	}

	const char *file_name_A = argv[1];
	const char *file_name_b = argv[2];

	double **A;
	int m, n;
	Read(file_name_A, A, m, n);

	double *b;
	Read(file_name_b, b, n);

	double *x;
	Allocate(x, n);

	// Solve Ax = b
	GaussPartialPivoting(A, b, n);
	BackwardSolve(A, b, n, x);

	std::cout << "The matrix A is: " << std::endl;
	Print(A, m, n, std::cout);
	std::cout << "The rhs b is: " << std::endl;
	Print(b, n, std::cout, true);
	std::cout << "The solution x is: " << std::endl;
	Print(x, n, std::cout, true);

	Delete(A, m);
	Delete(b);
	Delete(x);

	return 0;
	}