# include <stdlib.h>
# include <stdio.h>
# include <math.h>
# include <time.h>

# include "solve.h"

int main ( );
void test01 ( );

/******************************************************************************/

int main ( )

/******************************************************************************/
/*
  Discussion:

    MAIN is the main program for SOLVE_TEST.

  Licensing:

    This code is distributed under the GNU LGPL license. 

  Modified:

    27 May 2014

  Author:

    John Burkardt
*/
{
  timestamp ( );
  printf ( "\n" );
  printf ( "SOLVE_TEST\n" );
  printf ( "  C version\n" );
  printf ( "  Test the SOLVE library.\n" );

  test01 ( );
/*
  Terminate.
*/
  printf ( "\n" );
  printf ( "SOLVE_TEST\n" );
  printf ( "  Normal end of execution.\n" );
  printf ( "\n" );
  timestamp ( );

  return 0;
}
/******************************************************************************/

void test01 ( )

/******************************************************************************/
/*
  Purpose:

    TEST01 demonstrates how a 3X3 linear system can be set up and solved.

  Licensing:

    This code is distributed under the GNU LGPL license. 

  Modified:

    26 May 2014

  Author:

    John Burkardt
*/
{
  double **a;
  double *b;
  int n;
  double *x;

  printf ( "\n" );
  printf ( "TEST01\n" );
  printf ( "  Set up a linear system, and solve it by calling a function.\n" );
  printf ( "  The linear system is to be accessed using the A[i][j] notation.\n" );
  printf ( "  It is usually difficult to use this notation and still be able\n" );
  printf ( "  to pass the array A to a function.  An ordinary doubly indexed\n" );
  printf ( "  array would require the receiving function to know, IN ADVANCE,\n" );
  printf ( "  the exact fixed value of the second dimension of A, which defeats\n" );
  printf ( "  the goal of writing general usable library software.\n" );
  printf ( "\n" );
  printf ( "  Here, I think I have made it easy, at the cost of:\n" );
  printf ( "  * declaring the array as a 'double **a'\n" );
  printf ( "  * creating the array with r8rmat_new() or r8rmat_zero()\n" );
  printf ( "  * solving the system with r8rmat_fs_new()\n" );
  printf ( "  * deleting the array with r8rmat_delete()\n" );
/*
  Define the array size.
*/
  n = 3;
/*
  Create the array that will contain the matrix.
*/
  a = r8rmat_new ( n, n );
/*
  Set the array values.
*/
  a[0][0] = 1;
  a[0][1] = 2;
  a[0][2] = 3;

  a[1][0] = 4;
  a[1][1] = 5;
  a[1][2] = 6;

  a[2][0] = 7;
  a[2][1] = 8;
  a[2][2] = 0;
/*
  Create the right hand side.
*/
  b = ( double * ) malloc ( n * sizeof ( double ) );
/*
  Set the right hand side values.
*/
  b[0] = 14; 
  b[1] = 32;
  b[2] = 23;
/*
  Request the solution of A*x=b.
*/
  x = r8rmat_fs_new ( n, a, b );

  r8vec_print ( n, x, "  Solution:" );
/*
  Free memory.
*/
  r8rmat_delete ( n, n, a );
  free ( b );
  free ( x );

  return;
}