// -*- c++ -*-
//
// $COPYRIGHT$
//
//===========================================================================

#include "mtl/matrix.h"
#include "mtl/mtl.h"
#include "mtl/utils.h"  
#include "mtl/linalg_vec.h"
#include <mtl/dense1D.h>

/*

  Sample Output

  Array A:
  3x3
  [
  [1,0,0],
  [2,4,0],
  [3,5,6]
  ]
  Vector x
  [3,2,1,]
  Ax
  [3,14,25,]

  */

using namespace mtl;
using namespace std;

int
main()
{
  //begin
  typedef matrix< double, 
                  triangle<lower>, 
                  packed<external>, 
                  column_major >::type Matrix; 
  typedef dense1D<double> Vector;
  //         1               3
  //     A = 2  4       x =  2
  //         3  5  6         1
  Matrix::size_type N = 3, i;
  double dA[] = { 1, 2, 3, 4, 5, 6 };
  Matrix A(dA, N);
  Vector x(N), Ax(N);
  for (i = 0; i < N; ++i)
    x[i] = 3-i;
  //end
  
  cout << "Array A:" << endl;
  print_all_banded(A, A.sub(), A.super());

  cout << "Vector x" << endl;
  print_vector(x);

  //begin
  mult(A, x, Ax);
  //end

  cout << "Ax" << endl;
  print_vector(Ax);

  return 0;
}