Ejemplo n.º 1
0
static int pmatdestroy(void*MM){
  plapackM* ctx=(plapackM*)MM;
  int info;
  DSDPFunctionBegin;
  PPDSDPPrint("PDSDP: Compute M: %5.5e \n",ctx->thessian);
  PPDSDPPrint("PDSDP: Solve M %4.5e seconds\n ",ctx->tsolve);
  info=PLA_Obj_free(&ctx->AMat); DSDPCHKERR(info);
  info=PLA_Obj_free(&ctx->vVec); DSDPCHKERR(info);
  info=PLA_Obj_free(&ctx->wVec); DSDPCHKERR(info);
  info=PLA_Obj_free(&ctx->one); DSDPCHKERR(info);
  info=PLA_Obj_free(&ctx->zero); DSDPCHKERR(info);
  info=PLA_Obj_free(&ctx->dxerror); DSDPCHKERR(info);
  info=PLA_Temp_free(&ctx->templ); DSDPCHKERR(info);
  info=PLA_Finalize(); DSDPCHKERR(info);
  DSDPFREE(&ctx,&info);DSDPCHKERR(info);
  DSDPFunctionReturn(0);
}
Ejemplo n.º 2
0
int main(int argc, char *argv[])
{
    MPI_Comm
    comm = MPI_COMM_NULL;
    MPI_Datatype
    datatype;
    PLA_Template
    templ = NULL;
    PLA_Obj
    A      = NULL, A_orig = NULL, residual = NULL,
    minus_one   = NULL, one  = NULL, diff = NULL;
    int
    n,
    nb_distr, nb_alg,
    error, parameters, sequential,
    me, nprocs, nprows, npcols,
    itype;
    double
    time,
    flops;

    MPI_Init(&argc, &argv);

    MPI_Comm_rank(MPI_COMM_WORLD, &me);
    MPI_Comm_size(MPI_COMM_WORLD, &nprocs);

    if (me==0) {
        printf("enter mesh size:\n");
        scanf("%d%d", &nprows, &npcols );
        printf("mesh size  = %d x %d \n", nprows, npcols );
        printf("enter distr. block size:\n");
        scanf("%d", &nb_distr );
        printf("nb_distr = %d\n", nb_distr );
        printf("enter alg. block size:\n");
        scanf("%d", &nb_alg );
        printf("nb_alg = %d\n", nb_alg );
        printf("turn on error checking? (0 = NO, 1 = YES):\n");
        scanf("%d", &error );
        printf("error checking = %d\n", error );
        printf("turn on parameter checking? (0 = NO, 1 = YES):\n");
        scanf("%d", &parameters );
        printf("parameter checking = %d\n", parameters );
        printf("turn on sequential checking? (0 = NO, 1 = YES):\n");
        scanf("%d", &sequential );
        printf("sequential checking = %d\n", sequential );
    }
    MPI_Bcast(&nprows, 1, MPI_INT, 0, MPI_COMM_WORLD);
    MPI_Bcast(&npcols, 1, MPI_INT, 0, MPI_COMM_WORLD);
    MPI_Bcast(&nb_distr, 1, MPI_INT, 0, MPI_COMM_WORLD);
    MPI_Bcast(&nb_alg,   1, MPI_INT, 0, MPI_COMM_WORLD);
    MPI_Bcast(&error, 1, MPI_INT, 0, MPI_COMM_WORLD);
    MPI_Bcast(&parameters, 1, MPI_INT, 0, MPI_COMM_WORLD);
    MPI_Bcast(&sequential, 1, MPI_INT, 0, MPI_COMM_WORLD);

    pla_Environ_set_nb_alg( PLA_OP_ALL_ALG, nb_alg );

    PLA_Set_error_checking( error, parameters, sequential, FALSE );

    /*  PLA_Comm_1D_to_2D_ratio(MPI_COMM_WORLD, 1.0, &comm); */
    PLA_Comm_1D_to_2D(MPI_COMM_WORLD, nprows, npcols, &comm);

    PLA_Init(comm);

    PLA_Temp_create( nb_distr, 0, &templ );

    while ( TRUE ) {
        if (me==0) {
            printf("enter datatype:\n");
            printf("-1 = quit\n");
            printf(" 0 = float\n");
            printf(" 1 = double\n");
            printf(" 2 = complex\n");
            printf(" 3 = double complex\n");
            scanf("%d", &itype );
            printf("itype = %d\n", itype );
        }
        MPI_Bcast(&itype, 1, MPI_INT, 0, MPI_COMM_WORLD);

        if ( itype == -1 ) break;
        switch( itype ) {
        case 0:
            datatype = MPI_FLOAT;
            break;
        case 1:
            datatype = MPI_DOUBLE;
            break;
        case 2:
            datatype = MPI_COMPLEX;
            break;
        case 3:
            datatype = MPI_DOUBLE_COMPLEX;
            break;
        default:
            PLA_Abort( "unknown datatype", __LINE__, __FILE__ );
        }

        if (me==0) {
            printf("enter n:\n");
            scanf("%d", &n );
            printf("n = %d\n", n );
        }

        MPI_Bcast(&n,     1, MPI_INT, 0, MPI_COMM_WORLD);

        PLA_Matrix_create( datatype,
                           n,
                           n,
                           templ,
                           PLA_ALIGN_FIRST,
                           PLA_ALIGN_FIRST,
                           &A );

        PLA_Matrix_create_conf_to( A, &A_orig );

        PLA_Matrix_create_conf_to( A, &residual );

        create_problem( A );

        {
            double d_n;

            d_n = (double) n;
            PLA_Shift( A, MPI_DOUBLE, &d_n );
        }

        PLA_Create_constants_conf_to( A, &minus_one, NULL, &one );

        PLA_Local_copy( A, A_orig );

        /* Use invert routine that uses factors */

        MPI_Barrier( MPI_COMM_WORLD );
        time = MPI_Wtime ();

        PLA_Triangular_invert( PLA_LOWER_TRIANGULAR, A );

        MPI_Barrier( MPI_COMM_WORLD );
        time = MPI_Wtime () - time;

        flops = 2.0/3.0 * n * n * n;

        if ( me == 0 )
            printf("%d time = %f, MFLOPS/node = %10.4lf \n", n, time,
                   flops / time * 1.0e-6 / nprocs );

        PLA_Obj_set_to_identity( residual );

        PLA_Set_triang_to_zero( PLA_LOWER_TRIANGULAR, PLA_NONUNIT_DIAG,
                                A_orig );
        PLA_Set_triang_to_zero( PLA_LOWER_TRIANGULAR, PLA_NONUNIT_DIAG,
                                A );

        PLA_Gemm( PLA_NO_TRANS, PLA_NO_TRANS, minus_one, A_orig, A, one,
                  residual );

        PLA_Mscalar_create( datatype, PLA_ALL_ROWS, PLA_ALL_COLS,
                            1, 1, templ, &diff );

        PLA_Matrix_one_norm( residual, diff );
    }

    PLA_Obj_free( &A );
    PLA_Obj_free( &A_orig );
    PLA_Obj_free( &residual );
    PLA_Obj_free( &minus_one );
    PLA_Obj_free( &one );
    PLA_Obj_free( &diff );

    PLA_Temp_free(&templ);
    PLA_Finalize( );
    MPI_Finalize( );

}
int main(int argc, char *argv[])
{
  MPI_Comm 
    comm = MPI_COMM_NULL;
  MPI_Datatype
    datatype;
  PLA_Template 
    templ = NULL;
  PLA_Obj  
    A_orig  = NULL, A      = NULL, Q = NULL, diag = NULL,  B = NULL,
    minus_one = NULL, zero   = NULL, one  = NULL;
  int      
    n,
    nb_distr, nb_alg,
    error, parameters, sequential,
    me, nprocs, nprows, npcols,
    itype;
  double 
    time,
    flops,
    d_abs_max,
    PLA_Local_abs_max();

  MPI_Init(&argc, &argv);

  MPI_Comm_rank(MPI_COMM_WORLD, &me);
  MPI_Comm_size(MPI_COMM_WORLD, &nprocs);

  if (me==0) {
    printf("enter mesh size:\n");
    scanf("%d%d", &nprows, &npcols );
    printf("mesh size  = %d x %d \n", nprows, npcols );
    printf("enter distr. block size:\n");
    scanf("%d", &nb_distr );
    printf("nb_distr = %d\n", nb_distr );
    printf("enter alg. block size:\n");
    scanf("%d", &nb_alg );
    printf("nb_alg = %d\n", nb_alg );
    printf("turn on error checking? (0 = NO, 1 = YES):\n");
    scanf("%d", &error );
    printf("error checking = %d\n", error );
    printf("turn on parameter checking? (0 = NO, 1 = YES):\n");
    scanf("%d", &parameters );
    printf("parameter checking = %d\n", parameters );
    printf("turn on sequential checking? (0 = NO, 1 = YES):\n");
    scanf("%d", &sequential );
    printf("sequential checking = %d\n", sequential );
  }
  MPI_Bcast(&nprows, 1, MPI_INT, 0, MPI_COMM_WORLD);
  MPI_Bcast(&npcols, 1, MPI_INT, 0, MPI_COMM_WORLD);
  MPI_Bcast(&nb_distr, 1, MPI_INT, 0, MPI_COMM_WORLD);
  MPI_Bcast(&nb_alg,   1, MPI_INT, 0, MPI_COMM_WORLD);
  MPI_Bcast(&error, 1, MPI_INT, 0, MPI_COMM_WORLD);
  MPI_Bcast(&parameters, 1, MPI_INT, 0, MPI_COMM_WORLD);
  MPI_Bcast(&sequential, 1, MPI_INT, 0, MPI_COMM_WORLD);

  pla_Environ_set_nb_alg( PLA_OP_ALL_ALG, nb_alg );

  PLA_Set_error_checking( error, parameters, sequential, FALSE );

/*  PLA_Comm_1D_to_2D_ratio(MPI_COMM_WORLD, 1.0, &comm); */
  PLA_Comm_1D_to_2D(MPI_COMM_WORLD, nprows, npcols, &comm); 

  PLA_Init(comm);
    
  PLA_Temp_create( nb_distr, 0, &templ );
    
  while ( TRUE ){
    if (me==0) {
      printf("enter datatype:\n");
      printf("-1 = quit\n");
      printf(" 0 = float\n");
      printf(" 1 = double\n");
      printf(" 2 = complex\n");
      printf(" 3 = double complex\n");
      scanf("%d", &itype );
      printf("itype = %d\n", itype );
    }
    MPI_Bcast(&itype, 1, MPI_INT, 0, MPI_COMM_WORLD);

    if ( itype == -1 ) break;
    switch( itype ){
    case 0:
      datatype = MPI_FLOAT;
      break;
    case 1:
      datatype = MPI_DOUBLE;
      break;
    case 2:
      datatype = MPI_COMPLEX;
      break;
    case 3:
      datatype = MPI_DOUBLE_COMPLEX;
      break;
    default:
      PLA_Abort( "unknown datatype", __LINE__, __FILE__ );
    }

    if (me==0) {
      printf("enter n:\n");
      scanf("%d", &n );
      printf("n = %d\n", n );
    }

    MPI_Bcast(&n,     1, MPI_INT, 0, MPI_COMM_WORLD);

    PLA_Matrix_create( datatype, 
		        n, 
		        n,
			templ, 
                        PLA_ALIGN_FIRST, 
                        PLA_ALIGN_FIRST, 
                        &A_orig ); 

    PLA_Matrix_create_conf_to( A_orig, &Q );

    PLA_Matrix_create_conf_to( A_orig, &A );

    PLA_Mvector_create( datatype,
		        n, 
		        1,
			templ, 
                        PLA_ALIGN_FIRST, 
                        &diag ); 

    PLA_Create_constants_conf_to( A, &minus_one, &zero, &one );

    create_diag( diag );

    PLA_Create_sym_eigenproblem( PLA_LOWER_TRIANGULAR, 3, diag, A_orig, Q );

    PLA_Copy( A_orig, A );

    MPI_Barrier( MPI_COMM_WORLD );
    time = MPI_Wtime ();

    PLA_Spectral_decomp( PLA_LOWER_TRIANGULAR, A, Q, diag );

    MPI_Barrier( MPI_COMM_WORLD );
    time = MPI_Wtime () - time;

    /******* Check answer *******/

    /* Make A_orig symmetric */
      PLA_Symmetrize( PLA_LOWER_TRIANGULAR, A_orig );

    PLA_Matrix_create_conf_to( A_orig, &B );

    PLA_Obj_set_to_zero( A );
    PLA_Obj_set_diagonal( A, diag );

    /* A_orig = A_orig - Q diag Q^T */
    PLA_Gemm( PLA_NO_TRANSPOSE, PLA_NO_TRANSPOSE,
	       one, Q, A, zero, B );
    PLA_Gemm( PLA_NO_TRANSPOSE, PLA_TRANSPOSE,
	       minus_one, B, Q, one, A_orig );

    /* Extract absolute value of entry with largest absolute value in A_orig */
    d_abs_max = PLA_Local_abs_max( A_orig );

    if ( d_abs_max > 0.000000001 )
      printf( "large error detected: %le\n", d_abs_max );
      
    flops = 4.0/3.0 * n * n * n;

    if ( me == 0 ) 
      printf("%d time = %f, MFLOPS/node = %10.4lf \n", n, time,
	     flops / time * 1.0e-6 / nprocs );

    PLA_Obj_free( &A_orig );
    PLA_Obj_free( &A );
    PLA_Obj_free( &Q );
    PLA_Obj_free( &diag );
    PLA_Obj_free( &B );
    PLA_Obj_free( &minus_one );
    PLA_Obj_free( &zero );
    PLA_Obj_free( &one );
  }

  PLA_Temp_free(&templ);
  PLA_Finalize( );
  MPI_Finalize( );
}
Ejemplo n.º 4
0
int main(int argc, char *argv[])
{
  MPI_Comm 
    comm = MPI_COMM_NULL;
  MPI_Datatype
    datatype;
  PLA_Template 
    templ = NULL;
  PLA_Obj  
    A      = NULL, pivots = NULL,
    zero   = NULL, one  = NULL;
  int      
    n,
    nb_distr, nb_alg,
    error, parameters, sequential,
    me, nprocs, nprows, npcols,
    itype;
  double 
    time,
    flops;

  MPI_Init(&argc, &argv);

  MPI_Comm_rank(MPI_COMM_WORLD, &me);
  MPI_Comm_size(MPI_COMM_WORLD, &nprocs);

  if (me==0) {
    printf("enter mesh size:\n");
    scanf("%d%d", &nprows, &npcols );
    printf("mesh size  = %d x %d \n", nprows, npcols );
    printf("enter distr. block size:\n");
    scanf("%d", &nb_distr );
    printf("nb_distr = %d\n", nb_distr );
    printf("enter alg. block size:\n");
    scanf("%d", &nb_alg );
    printf("nb_alg = %d\n", nb_alg );
    printf("turn on error checking? (0 = NO, 1 = YES):\n");
    scanf("%d", &error );
    printf("error checking = %d\n", error );
    printf("turn on parameter checking? (0 = NO, 1 = YES):\n");
    scanf("%d", &parameters );
    printf("parameter checking = %d\n", parameters );
    printf("turn on sequential checking? (0 = NO, 1 = YES):\n");
    scanf("%d", &sequential );
    printf("sequential checking = %d\n", sequential );
  }
  MPI_Bcast(&nprows, 1, MPI_INT, 0, MPI_COMM_WORLD);
  MPI_Bcast(&npcols, 1, MPI_INT, 0, MPI_COMM_WORLD);
  MPI_Bcast(&nb_distr, 1, MPI_INT, 0, MPI_COMM_WORLD);
  MPI_Bcast(&nb_alg,   1, MPI_INT, 0, MPI_COMM_WORLD);
  MPI_Bcast(&error, 1, MPI_INT, 0, MPI_COMM_WORLD);
  MPI_Bcast(&parameters, 1, MPI_INT, 0, MPI_COMM_WORLD);
  MPI_Bcast(&sequential, 1, MPI_INT, 0, MPI_COMM_WORLD);

  pla_Environ_set_nb_alg( PLA_OP_ALL_ALG, nb_alg );

  PLA_Set_error_checking( error, parameters, sequential, FALSE );

/*  PLA_Comm_1D_to_2D_ratio(MPI_COMM_WORLD, 1.0, &comm); */
  PLA_Comm_1D_to_2D(MPI_COMM_WORLD, nprows, npcols, &comm); 

  PLA_Init(comm);
    
  PLA_Temp_create( nb_distr, 0, &templ );
    
  while ( TRUE ){
    if (me==0) {
      printf("enter datatype:\n");
      printf("-1 = quit\n");
      printf(" 0 = float\n");
      printf(" 1 = double\n");
      printf(" 2 = complex\n");
      printf(" 3 = double complex\n");
      scanf("%d", &itype );
      printf("itype = %d\n", itype );
    }
    MPI_Bcast(&itype, 1, MPI_INT, 0, MPI_COMM_WORLD);

    if ( itype == -1 ) break;
    switch( itype ){
    case 0:
      datatype = MPI_FLOAT;
      break;
    case 1:
      datatype = MPI_DOUBLE;
      break;
    case 2:
      datatype = MPI_COMPLEX;
      break;
    case 3:
      datatype = MPI_DOUBLE_COMPLEX;
      break;
    default:
      PLA_Abort( "unknown datatype", __LINE__, __FILE__ );
    }

    if (me==0) {
      printf("enter n:\n");
      scanf("%d", &n );
      printf("n = %d\n", n );
    }

    MPI_Bcast(&n,     1, MPI_INT, 0, MPI_COMM_WORLD);

    PLA_Matrix_create( datatype, 
		        n, 
		        n,
			templ, 
                        PLA_ALIGN_FIRST, 
                        PLA_ALIGN_FIRST, 
                        &A ); 

    PLA_Mvector_create( MPI_INT,
		        n, 
		        1,
			templ, 
                        PLA_ALIGN_FIRST, 
                        &pivots ); 

    create_problem( A );
    

    MPI_Barrier( MPI_COMM_WORLD );
    time = MPI_Wtime ();
      
    PLA_LU( A, pivots );

    MPI_Barrier( MPI_COMM_WORLD );
    time = MPI_Wtime () - time;

    flops = 2.0/3.0 * n * n * n;

    if ( me == 0 ) 
      printf("%d time = %f, MFLOPS/node = %10.4lf \n", n, time,
	       flops / time * 1.0e-6 / nprocs );
  }

  PLA_Obj_free( &A );
  PLA_Obj_free( &pivots );
  PLA_Obj_free( &zero );
  PLA_Obj_free( &one );

  PLA_Temp_free(&templ);
  PLA_Finalize( );
  MPI_Finalize( );
  
}
Ejemplo n.º 5
0
int main(int argc, char *argv[])
{
  /* Declarations */
  MPI_Comm 
    comm;

  PLA_Template 
    templ = NULL;

  PLA_Obj  
    A = NULL,    rhs = NULL,    
    A_append = NULL,
    pivots = NULL,
    x = NULL,         
    b = NULL, 
    b_norm = NULL,
    index = NULL,
    minus_one = NULL;

  double 
    operation_count,
    b_norm_value, 
    time;

  int  
    size, 
    nb_distr, nb_alg, 
    me, nprocs, 
    nprows, npcols,
    dummy, 
    ierror,
    info = 0;
  
  MPI_Datatype 
    datatype;

  /* Initialize MPI */
  MPI_Init(&argc, &argv);

#if MANUFACTURE == CRAY
  set_d_stream( 1 );
#endif

  /* Get problem size and distribution block size and broadcast */
  MPI_Comm_rank(MPI_COMM_WORLD, &me);
  if (0 == me) {
    printf("enter processor mesh dimension ( rows cols ):\n");
    scanf("%d %d", &nprows, &npcols );
    printf("enter matrix size, distr. block size:\n");
    scanf("%d %d", &size, &nb_distr );
    printf("enter algorithmic blocksize:\n");
    scanf("%d", &nb_alg );
    printf("Turn on error checking? (1 = YES, 0 = NO):\n");
    scanf("%d", &ierror );
  }

  MPI_Bcast(&nprows,   1, MPI_INT, 0, MPI_COMM_WORLD);
  MPI_Bcast(&npcols,   1, MPI_INT, 0, MPI_COMM_WORLD);
  MPI_Bcast(&size,     1, MPI_INT, 0, MPI_COMM_WORLD);
  MPI_Bcast(&nb_distr, 1, MPI_INT, 0, MPI_COMM_WORLD);
  MPI_Bcast(&nb_alg, 1, MPI_INT, 0, MPI_COMM_WORLD);
  MPI_Bcast(&ierror, 1, MPI_INT, 0, MPI_COMM_WORLD);

  if ( ierror ) 
    PLA_Set_error_checking( ierror, TRUE, TRUE, FALSE );
  else
    PLA_Set_error_checking( ierror, FALSE, FALSE, FALSE );

  pla_Environ_set_nb_alg (PLA_OP_ALL_ALG,
			  nb_alg);

  /* Create a 2D communicator */
  PLA_Comm_1D_to_2D(MPI_COMM_WORLD, nprows, npcols, &comm); 

  /* Initialize PLAPACK */
  PLA_Init(comm);

  /* Create object distribution template */
  PLA_Temp_create( nb_distr, 0, &templ );

  /* Set the datatype */
  datatype = MPI_DOUBLE;

  /* Create objects for problem to be solved */

  /* Matrix A is big enough to hold the right-hand-side appended */
  PLA_Matrix_create(  datatype, size, size+1, 
		      templ, PLA_ALIGN_FIRST, PLA_ALIGN_FIRST, &A_append );

  PLA_Mvector_create( datatype, size, 1, templ, PLA_ALIGN_FIRST, &x );

  PLA_Mvector_create( datatype, size, 1, templ, PLA_ALIGN_FIRST, &b );
   
  PLA_Mvector_create( MPI_INT, size, 1, templ, PLA_ALIGN_FIRST, &pivots );
   
  /* Create 1x1 multiscalars to hold largest (in abs. value) element 
     of b - x and index of largest value */
  PLA_Mscalar_create( MPI_DOUBLE,
		      PLA_ALL_ROWS, PLA_ALL_COLS,
			 1, 1, templ, &b_norm );

  /* Create duplicated scalar constants with same datatype and template as A */
  PLA_Create_constants_conf_to( A_append, &minus_one, NULL, NULL );

  /* View the appended system as the matrix and the right-hand-side */
  PLA_Obj_vert_split_2( A_append, -1, &A, &rhs );

  /* Create a problem to be solved: A x = b */
  create_problem( A, x, b );

  /* Copy b to the appended column */
  PLA_Copy( b, rhs );

  /* Start timing */
  MPI_Barrier( MPI_COMM_WORLD );
  time = MPI_Wtime( );

  /* Factor P A_append -> L U overwriting lower triangular portion of A with L, upper, U */

  info = PLA_LU( A_append, pivots);

  if ( info != 0 ) {
    printf("Zero pivot encountered at row %d.\n", info);
  }
  else {
    /* Apply the permutations to the right hand sides */
    /* Not necessery since system was appended */
    /* PLA_Apply_pivots_to_rows ( b, pivots); */
    
    /* Solve L y = b, overwriting b with y */
    /* Not necessary since the system was appended */
    /* PLA_Trsv( PLA_LOWER_TRIANGULAR, PLA_NO_TRANSPOSE, PLA_UNIT_DIAG, A, b ); */
    PLA_Copy( rhs, b );

    /* Solve U x = y (=b), overwriting b with x */
    PLA_Trsv( PLA_UPPER_TRIANGULAR, PLA_NO_TRANSPOSE,  PLA_NONUNIT_DIAG, A, b );

    /* Stop timing */
    MPI_Barrier( MPI_COMM_WORLD );
    time = MPI_Wtime() - time;

    /* Report performance */
    if ( me == 0 ) {
      MPI_Comm_size(MPI_COMM_WORLD, &nprocs);

      operation_count = 2.0/3.0 * size * size * size;

      printf("n = %d, time = %lf, MFLOPS/node = %lf\n", size, time,
	      operation_count / time * 1.0e-6 / nprocs );
    }

    /* Process the answer.  As an example, this routine brings 
       result x (stored in b) to processor 0 and prints first and 
       last entry */
    Process_answer( b ); 

    /* Check answer by overwriting b <- b - x (where b holds computed
       approximation to x) */

    PLA_Axpy( minus_one, x, b );

    PLA_Nrm2( b, b_norm);

    /* Report norm of b - x */
    if ( me == 0 ) {
      PLA_Obj_get_local_contents( b_norm, PLA_NO_TRANS, &dummy, &dummy,
				  &b_norm_value, 1, 1 );
      printf( "Norm2 of x - computed x : %le\n", b_norm_value );
    }
  } 

  printf("****************************************************************\n");
  printf("* NOTE: while this driver times all operations performed by    *\n");
  printf("* a LINPACK benchmark, it does not use the ScaLAPACK random    *\n");
  printf("* matrix generator and thus according to the rules of the      *\n");
  printf("* LINPACK benchmark is not an official implementation.         *\n");
  printf("* Contact [email protected] if you are interested in creating *\n");
  printf("* a version that does meet the rules.                          *\n");
  printf("****************************************************************\n");

     
  /* Free the linear algebra objects */
  PLA_Obj_free(&A);            PLA_Obj_free(&x);
  PLA_Obj_free(&b);            PLA_Obj_free(&minus_one);
  PLA_Obj_free(&b_norm);       PLA_Obj_free(&pivots);
  PLA_Obj_free(&A_append);     PLA_Obj_free(&rhs);

  /* Free the template */
  PLA_Temp_free(&templ);

  /* Finalize PLAPACK and MPI */
  PLA_Finalize( );
  MPI_Finalize( );
}