Distributed-Run-Time-Resource-Manager/RCCE_V2.0/apps/NPB/LU/buts.c

/*
Copyright (c) 2010, Intel Corporation
All rights reserved.

Redistribution and use in source and binary forms, with or without 
modification, are permitted provided that the following conditions 
are met:

    - Redistributions of source code must retain the above 
      copyright notice, this list of conditions and the following 
      disclaimer.
    - Redistributions in binary form must reproduce the above 
      copyright notice, this list of conditions and the following 
      disclaimer in the documentation and/or other materials 
      provided with the distribution.
    - Neither the name of Intel Corporation nor the names of its 
      contributors may be used to endorse or promote products derived 
      from this software without specific prior written permission.

THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR 
A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT 
OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, 
SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT 
LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, 
DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY 
THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT 
(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE 
OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
#include "applu_share.h"
#include "applu_macros.h"

void buts(int k, double *tv) {

//c   compute the regular-sparse, block upper triangular solution:


//c  local variables

      int i, j, m;
      int iex;
      double tmp, tmp1;
      double tmat[5*5];

//c   receive data from south and east

      iex = 1;
      exchange_1(rsd, k, iex);

      for (j=jend; j>=jst; j--) {
         for (i=iend; i>=ist; i--) {
            for (m=1; m<=5; m++) {
                  tv( m, i, j ) = 
            omega * (  c( m, 1, i, j ) * rsd( 1, i, j, k+1 )
                     + c( m, 2, i, j ) * rsd( 2, i, j, k+1 )
                     + c( m, 3, i, j ) * rsd( 3, i, j, k+1 )
                     + c( m, 4, i, j ) * rsd( 4, i, j, k+1 )
                     + c( m, 5, i, j ) * rsd( 5, i, j, k+1 ) );
            }
         }
      }

      for (j=jend; j>=jst; j--) {
        for (i=iend; i>=ist; i--) {

            for (m=1; m<=5; m++) {
                  tv( m, i, j ) = tv( m, i, j )
       + omega * ( b( m, 1, i, j ) * rsd( 1, i, j+1, k )
                 + a( m, 1, i, j ) * rsd( 1, i+1, j, k )
                 + b( m, 2, i, j ) * rsd( 2, i, j+1, k )
                 + a( m, 2, i, j ) * rsd( 2, i+1, j, k )
                 + b( m, 3, i, j ) * rsd( 3, i, j+1, k )
                 + a( m, 3, i, j ) * rsd( 3, i+1, j, k )
                 + b( m, 4, i, j ) * rsd( 4, i, j+1, k )
                 + a( m, 4, i, j ) * rsd( 4, i+1, j, k )
                 + b( m, 5, i, j ) * rsd( 5, i, j+1, k )
                 + a( m, 5, i, j ) * rsd( 5, i+1, j, k ) );
            }

//c---------------------------------------------------------------------
//c   diagonal block inversion
//c---------------------------------------------------------------------
            for (m=1; m<=5; m++) {
               tmat( m, 1 ) = d( m, 1, i, j );
               tmat( m, 2 ) = d( m, 2, i, j );
               tmat( m, 3 ) = d( m, 3, i, j );
               tmat( m, 4 ) = d( m, 4, i, j );
               tmat( m, 5 ) = d( m, 5, i, j );
            }

            tmp1 = 1.0 / tmat( 1, 1 );
            tmp = tmp1 * tmat( 2, 1 );
            tmat( 2, 2 ) =  tmat( 2, 2 )
                 - tmp * tmat( 1, 2 );
            tmat( 2, 3 ) =  tmat( 2, 3 )
                 - tmp * tmat( 1, 3 );
            tmat( 2, 4 ) =  tmat( 2, 4 )
                 - tmp * tmat( 1, 4 );
            tmat( 2, 5 ) =  tmat( 2, 5 )
                 - tmp * tmat( 1, 5 );
            tv( 2, i, j ) = tv( 2, i, j )
              - tv( 1, i, j ) * tmp;

            tmp = tmp1 * tmat( 3, 1 );
            tmat( 3, 2 ) =  tmat( 3, 2 )
                 - tmp * tmat( 1, 2 );
            tmat( 3, 3 ) =  tmat( 3, 3 )
                 - tmp * tmat( 1, 3 );
            tmat( 3, 4 ) =  tmat( 3, 4 )
                 - tmp * tmat( 1, 4 );
            tmat( 3, 5 ) =  tmat( 3, 5 )
                 - tmp * tmat( 1, 5 );
            tv( 3, i, j ) = tv( 3, i, j )
              - tv( 1, i, j ) * tmp;

            tmp = tmp1 * tmat( 4, 1 );
            tmat( 4, 2 ) =  tmat( 4, 2 )
                 - tmp * tmat( 1, 2 );
            tmat( 4, 3 ) =  tmat( 4, 3 )
                 - tmp * tmat( 1, 3 );
            tmat( 4, 4 ) =  tmat( 4, 4 )
                 - tmp * tmat( 1, 4 );
            tmat( 4, 5 ) =  tmat( 4, 5 )
                 - tmp * tmat( 1, 5 );
            tv( 4, i, j ) = tv( 4, i, j )
              - tv( 1, i, j ) * tmp;

            tmp = tmp1 * tmat( 5, 1 );
            tmat( 5, 2 ) =  tmat( 5, 2 )
                 - tmp * tmat( 1, 2 );
            tmat( 5, 3 ) =  tmat( 5, 3 )
                 - tmp * tmat( 1, 3 );
            tmat( 5, 4 ) =  tmat( 5, 4 )
                 - tmp * tmat( 1, 4 );
            tmat( 5, 5 ) =  tmat( 5, 5 )
                 - tmp * tmat( 1, 5 );
            tv( 5, i, j ) = tv( 5, i, j )
              - tv( 1, i, j ) * tmp;

            tmp1 = 1.0 / tmat( 2, 2 );
            tmp = tmp1 * tmat( 3, 2 );
            tmat( 3, 3 ) =  tmat( 3, 3 )
                 - tmp * tmat( 2, 3 );
            tmat( 3, 4 ) =  tmat( 3, 4 )
                 - tmp * tmat( 2, 4 );
            tmat( 3, 5 ) =  tmat( 3, 5 )
                 - tmp * tmat( 2, 5 );
            tv( 3, i, j ) = tv( 3, i, j )
              - tv( 2, i, j ) * tmp;

            tmp = tmp1 * tmat( 4, 2 );
            tmat( 4, 3 ) =  tmat( 4, 3 )
                 - tmp * tmat( 2, 3 );
            tmat( 4, 4 ) =  tmat( 4, 4 )
                 - tmp * tmat( 2, 4 );
            tmat( 4, 5 ) =  tmat( 4, 5 )
                 - tmp * tmat( 2, 5 );
            tv( 4, i, j ) = tv( 4, i, j )
              - tv( 2, i, j ) * tmp;

            tmp = tmp1 * tmat( 5, 2 );
            tmat( 5, 3 ) =  tmat( 5, 3 )
                 - tmp * tmat( 2, 3 );
            tmat( 5, 4 ) =  tmat( 5, 4 )
                 - tmp * tmat( 2, 4 );
            tmat( 5, 5 ) =  tmat( 5, 5 )
                 - tmp * tmat( 2, 5 );
            tv( 5, i, j ) = tv( 5, i, j )
              - tv( 2, i, j ) * tmp;

            tmp1 = 1.0 / tmat( 3, 3 );
            tmp = tmp1 * tmat( 4, 3 );
            tmat( 4, 4 ) =  tmat( 4, 4 )
                 - tmp * tmat( 3, 4 );
            tmat( 4, 5 ) =  tmat( 4, 5 )
                 - tmp * tmat( 3, 5 );
            tv( 4, i, j ) = tv( 4, i, j )
              - tv( 3, i, j ) * tmp;

            tmp = tmp1 * tmat( 5, 3 );
            tmat( 5, 4 ) =  tmat( 5, 4 )
                 - tmp * tmat( 3, 4 );
            tmat( 5, 5 ) =  tmat( 5, 5 )
                 - tmp * tmat( 3, 5 );
            tv( 5, i, j ) = tv( 5, i, j )
              - tv( 3, i, j ) * tmp;

            tmp1 = 1.0 / tmat( 4, 4 );
            tmp = tmp1 * tmat( 5, 4 );
            tmat( 5, 5 ) =  tmat( 5, 5 )
                 - tmp * tmat( 4, 5 );
            tv( 5, i, j ) = tv( 5, i, j )
              - tv( 4, i, j ) * tmp;

//c---------------------------------------------------------------------
//c   back substitution
//c---------------------------------------------------------------------
            tv( 5, i, j ) = tv( 5, i, j )
                            / tmat( 5, 5 );

            tv( 4, i, j ) = tv( 4, i, j )
                 - tmat( 4, 5 ) * tv( 5, i, j );
            tv( 4, i, j ) = tv( 4, i, j )
                            / tmat( 4, 4 );

            tv( 3, i, j ) = tv( 3, i, j )
                 - tmat( 3, 4 ) * tv( 4, i, j )
                 - tmat( 3, 5 ) * tv( 5, i, j );
            tv( 3, i, j ) = tv( 3, i, j )
                            / tmat( 3, 3 );

            tv( 2, i, j ) = tv( 2, i, j )
                 - tmat( 2, 3 ) * tv( 3, i, j )
                 - tmat( 2, 4 ) * tv( 4, i, j )
                 - tmat( 2, 5 ) * tv( 5, i, j );
            tv( 2, i, j ) = tv( 2, i, j )
                            / tmat( 2, 2 );

            tv( 1, i, j ) = tv( 1, i, j )
                 - tmat( 1, 2 ) * tv( 2, i, j )
                 - tmat( 1, 3 ) * tv( 3, i, j )
                 - tmat( 1, 4 ) * tv( 4, i, j )
                 - tmat( 1, 5 ) * tv( 5, i, j );
            tv( 1, i, j ) = tv( 1, i, j )
                            / tmat( 1, 1 );

            rsd( 1, i, j, k ) = rsd( 1, i, j, k ) - tv( 1, i, j );
            rsd( 2, i, j, k ) = rsd( 2, i, j, k ) - tv( 2, i, j );
            rsd( 3, i, j, k ) = rsd( 3, i, j, k ) - tv( 3, i, j );
            rsd( 4, i, j, k ) = rsd( 4, i, j, k ) - tv( 4, i, j );
            rsd( 5, i, j, k ) = rsd( 5, i, j, k ) - tv( 5, i, j );

          }
      }

//c---------------------------------------------------------------------
//c   send data to north and west
//c---------------------------------------------------------------------
      iex = 3;
      exchange_1(rsd, k, iex);
 
      return;
}