Centre Blaise Pascal » HPL sur GPU

/*

 * -- High Performance Computing Linpack Benchmark (HPL)

 *    HPL - 2.0 - September 10, 2008

 *    Antoine P. Petitet

 *    University of Tennessee, Knoxville

 *    Innovative Computing Laboratory

 *    (C) Copyright 2000-2008 All Rights Reserved

 *

 * -- Copyright notice and Licensing terms:

 *

 * Redistribution  and  use in  source and binary forms, with or without

 * modification, are  permitted provided  that the following  conditions

 * are met:

 *

 * 1. Redistributions  of  source  code  must retain the above copyright

 * notice, this list of conditions and the following disclaimer.

 *

 * 2. 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.

 *

 * 3. All  advertising  materials  mentioning  features  or  use of this

 * software must display the following acknowledgement:

 * This  product  includes  software  developed  at  the  University  of

 * Tennessee, Knoxville, Innovative Computing Laboratory.

 *

 * 4. The name of the  University,  the name of the  Laboratory,  or the

 * names  of  its  contributors  may  not  be used to endorse or promote

 * products  derived   from   this  software  without  specific  written

 * permission.

 *

 * -- Disclaimer:

 *

 * 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 UNIVERSITY

 * 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 files

 */

#include "hpl.h"

#ifndef HPL_dtrsv

#ifdef HPL_CALL_VSIPL

#ifdef STDC_HEADERS

static void HPL_dtrsvLNN

(

   const int                  N,

   const double               * A,

   const int                  LDA,

   double                     * X,

   const int                  INCX

)

#else

static void HPL_dtrsvLNN( N, A, LDA, X, INCX )

   const int                  INCX, LDA, N;

   const double               * A;

   double                     * X;

#endif

{

   int                        i, iaij, ix, j, jaj, jx, ldap1 = LDA + 1;

   register double            t0;

   for( j = 0, jaj = 0, jx  = 0; j < N; j++, jaj += ldap1, jx += INCX )

   {

      X[jx] /= A[jaj]; t0 = X[jx];

      for( i = j+1,    iaij  = jaj+1, ix  = jx + INCX;

           i < N; i++, iaij += 1,     ix += INCX ) { X[ix] -= t0 * A[iaij]; }

   }

}

#ifdef STDC_HEADERS

static void HPL_dtrsvLNU

(

   const int                  N,

   const double               * A,

   const int                  LDA,

   double                     * X,

   const int                  INCX

)

#else

static void HPL_dtrsvLNU( N, A, LDA, X, INCX )

   const int                  INCX, LDA, N;

   const double               * A;

   double                     * X;

#endif

{

   int                        i, iaij, ix, j, jaj, jx, ldap1 = LDA + 1;

   register double            t0;

   for( j = 0, jaj = 0, jx = 0; j < N; j++, jaj += ldap1, jx += INCX )

   {

      t0 = X[jx];

      for( i = j+1,    iaij  = jaj+1, ix  = jx + INCX;

           i < N; i++, iaij += 1,     ix += INCX ) { X[ix] -= t0 * A[iaij]; }

   }

}

#ifdef STDC_HEADERS

static void HPL_dtrsvLTN

(

   const int                  N,

   const double               * A,

   const int                  LDA,

   double                     * X,

   const int                  INCX

)

#else

static void HPL_dtrsvLTN( N, A, LDA, X, INCX )

   const int                  INCX, LDA, N;

   const double               * A;

   double                     * X;

#endif

{

   int                        i, iaij, ix, j, jaj, jx, ldap1 = LDA + 1;

   register double            t0;

   for( j = N-1,     jaj  = (N-1)*(ldap1), jx  = (N-1)*INCX;

        j >= 0; j--, jaj -= ldap1,         jx -= INCX )

   {

      t0 = X[jx];

      for( i = j+1,    iaij  = 1+jaj, ix  = jx + INCX;

           i < N; i++, iaij += 1,     ix += INCX ) { t0 -= A[iaij] * X[ix]; }

      t0 /= A[jaj]; X[jx] = t0;

   }

}

#ifdef STDC_HEADERS

static void HPL_dtrsvLTU

(

   const int                  N,

   const double               * A,

   const int                  LDA,

   double                     * X,

   const int                  INCX

)

#else

static void HPL_dtrsvLTU( N, A, LDA, X, INCX )

   const int                  INCX, LDA, N;

   const double               * A;

   double                     * X;

#endif

{

   int                        i, iaij, ix, j, jaj, jx, ldap1 = LDA + 1;

   register double            t0;

   for( j = N-1,     jaj  = (N-1)*(ldap1), jx  = (N-1)*INCX;

        j >= 0; j--, jaj -= ldap1,         jx -= INCX )

   {

      t0 = X[jx];

      for( i = j+1,    iaij  = 1+jaj, ix  = jx + INCX;

           i < N; i++, iaij += 1,     ix += INCX ) { t0 -= A[iaij] * X[ix]; }

      X[jx] = t0;

   }

}

#ifdef STDC_HEADERS

static void HPL_dtrsvUNN

(

   const int                  N,

   const double               * A,

   const int                  LDA,

   double                     * X,

   const int                  INCX

)

#else

static void HPL_dtrsvUNN( N, A, LDA, X, INCX )

   const int                  INCX, LDA, N;

   const double               * A;

   double                     * X;

#endif

{

   int                        i, iaij, ix, j, jaj, jx;

   register double            t0;

   for( j = N-1,     jaj  = (N-1)*LDA, jx  = (N-1)*INCX;

        j >= 0; j--, jaj -= LDA,       jx -= INCX )

   {

      X[jx] /= A[j+jaj]; t0 = X[jx];

      for( i = 0, iaij = jaj, ix = 0; i < j; i++, iaij += 1, ix += INCX )

      { X[ix] -= t0 * A[iaij]; }

   }

}

#ifdef STDC_HEADERS

static void HPL_dtrsvUNU

(

   const int                  N,

   const double               * A,

   const int                  LDA,

   double                     * X,

   const int                  INCX

)

#else

static void HPL_dtrsvUNU( N, A, LDA, X, INCX )

   const int                  INCX, LDA, N;

   const double               * A;

   double                     * X;

#endif

{

   int                        i, iaij, ix, j, jaj, jx;

   register double            t0;

   for( j = N-1,     jaj  = (N-1)*LDA, jx  = (N-1)*INCX;

        j >= 0; j--, jaj -= LDA,       jx -= INCX )

   {

      t0 = X[jx];

      for( i = 0, iaij = jaj, ix = 0; i < j; i++, iaij += 1, ix += INCX )

      { X[ix] -= t0 * A[iaij]; }

   }

}

#ifdef STDC_HEADERS

static void HPL_dtrsvUTN

(

   const int                  N,

   const double               * A,

   const int                  LDA,

   double                     * X,

   const int                  INCX

)

#else

static void HPL_dtrsvUTN( N, A, LDA, X, INCX )

   const int                  INCX, LDA, N;

   const double               * A;

   double                     * X;

#endif

{

   int                        i, iaij, ix, j, jaj, jx;

   register double            t0;

   for( j = 0, jaj = 0,jx = 0; j < N; j++, jaj += LDA, jx += INCX )

   {

      t0 = X[jx];

      for( i = 0, iaij = jaj, ix = 0; i < j; i++, iaij += 1, ix += INCX )

      { t0 -= A[iaij] * X[ix]; }

      t0 /= A[iaij]; X[jx] = t0;

   }

}

#ifdef STDC_HEADERS

static void HPL_dtrsvUTU

(

   const int                  N,

   const double               * A,

   const int                  LDA,

   double                     * X,

   const int                  INCX

)

#else

static void HPL_dtrsvUTU( N, A, LDA, X, INCX )

   const int                  INCX, LDA, N;

   const double               * A;

   double                     * X;

#endif

{

   int                        i, iaij, ix, j, jaj, jx;

   register double            t0;

   for( j = 0, jaj = 0, jx = 0; j < N; j++, jaj += LDA, jx += INCX )

   {

      t0 = X[jx];

      for( i = 0, iaij = jaj, ix = 0; i < j; i++, iaij += 1, ix += INCX )

      { t0 -= A[iaij] * X[ix]; }

      X[jx] = t0;

   }

}

#ifdef STDC_HEADERS

static void HPL_dtrsv0

(

   const enum HPL_UPLO        UPLO,

   const enum HPL_TRANS       TRANS,

   const enum HPL_DIAG        DIAG,

   const int                  N,

   const double               * A,

   const int                  LDA,

   double                     * X,

   const int                  INCX

)

#else

static void HPL_dtrsv0( UPLO, TRANS, DIAG, N, A, LDA, X, INCX )

   const enum HPL_UPLO        UPLO;

   const enum HPL_TRANS       TRANS;

   const enum HPL_DIAG        DIAG;

   const int                  INCX, LDA, N;

   const double               * A;

   double                     * X;

#endif

{

   if( N == 0 ) return;

   if( UPLO == HplUpper )

   {

      if( TRANS == HplNoTrans )

      {

         if( DIAG == HplNonUnit ) { HPL_dtrsvUNN( N,    A, LDA, X, INCX ); }

         else                     { HPL_dtrsvUNU( N,    A, LDA, X, INCX ); }

      }

      else

      {

         if( DIAG == HplNonUnit ) { HPL_dtrsvUTN( N,    A, LDA, X, INCX ); }

         else                     { HPL_dtrsvUTU( N,    A, LDA, X, INCX ); }

      }

   }

   else

   {

      if( TRANS == HplNoTrans )

      {

         if( DIAG == HplNonUnit ) { HPL_dtrsvLNN( N,    A, LDA, X, INCX ); }

         else                     { HPL_dtrsvLNU( N,    A, LDA, X, INCX ); }

      }

      else

      {

         if( DIAG == HplNonUnit ) { HPL_dtrsvLTN( N,    A, LDA, X, INCX ); }

         else                     { HPL_dtrsvLTU( N,    A, LDA, X, INCX ); }

      }

   }

}

#endif

#ifdef STDC_HEADERS

void HPL_dtrsv

(

   const enum HPL_ORDER             ORDER,

   const enum HPL_UPLO              UPLO,

   const enum HPL_TRANS             TRANS,

   const enum HPL_DIAG              DIAG,

   const int                        N,

   const double *                   A,

   const int                        LDA,

   double *                         X,

   const int                        INCX

)

#else

void HPL_dtrsv

( ORDER, UPLO, TRANS, DIAG, N, A, LDA, X, INCX )

   const enum HPL_ORDER             ORDER;

   const enum HPL_UPLO              UPLO;

   const enum HPL_TRANS             TRANS;

   const enum HPL_DIAG              DIAG;

   const int                        N;

   const double *                   A;

   const int                        LDA;

   double *                         X;

   const int                        INCX;

#endif

{

/*

 * Purpose

 * =======

 *

 * HPL_dtrsv solves one of the systems of equations

 *

 *     A * x = b,   or   A^T * x = b,

 *

 * where b and x are n-element vectors and  A  is an n by n non-unit, or

 * unit, upper or lower triangular matrix.

 *

 * No test for  singularity  or  near-singularity  is included  in  this

 * routine. Such tests must be performed before calling this routine.

 *

 * Arguments

 * =========

 *

 * ORDER   (local input)                 const enum HPL_ORDER

 *         On entry, ORDER  specifies the storage format of the operands

 *         as follows:

 *            ORDER = HplRowMajor,

 *            ORDER = HplColumnMajor.

 *

 * UPLO    (local input)                 const enum HPL_UPLO

 *         On  entry,   UPLO   specifies  whether  the  upper  or  lower

 *         triangular  part  of the array  A  is to be referenced.  When

 *         UPLO==HplUpper, only  the upper triangular part of A is to be

 *         referenced, otherwise only the lower triangular part of A is

 *         to be referenced.

 *

 * TRANS   (local input)                 const enum HPL_TRANS

 *         On entry,  TRANS  specifies  the equations  to  be  solved as

 *         follows:

 *            TRANS==HplNoTrans     A   * x = b,

 *            TRANS==HplTrans       A^T * x = b.

 *

 * DIAG    (local input)                 const enum HPL_DIAG

 *         On entry,  DIAG  specifies  whether  A  is unit triangular or

 *         not. When DIAG==HplUnit,  A is assumed to be unit triangular,

 *         and otherwise, A is not assumed to be unit triangular.

 *

 * N       (local input)                 const int

 *         On entry, N specifies the order of the matrix A. N must be at

 *         least zero.

 *

 * A       (local input)                 const double *

 *         On entry,  A  points  to an array of size equal to or greater

 *         than LDA * n. Before entry with  UPLO==HplUpper,  the leading

 *         n by n upper triangular  part of the array A must contain the

 *         upper triangular  matrix and the  strictly  lower  triangular

 *         part of A is not referenced.  When  UPLO==HplLower  on entry,

 *         the  leading n by n lower triangular part of the array A must

 *         contain the lower triangular matrix  and  the  strictly upper

 *         triangular part of A is not referenced.

 *

 *         Note  that  when  DIAG==HplUnit,  the diagonal elements of  A

 *         not referenced  either,  but are assumed to be unity.

 *

 * LDA     (local input)                 const int

 *         On entry,  LDA  specifies  the  leading  dimension  of  A  as

 *         declared  in  the  calling  (sub) program.  LDA  must  be  at

 *         least MAX(1,n).

 *

 * X       (local input/output)          double *

 *         On entry,  X  is an incremented array of dimension  at  least

 *         ( 1 + ( n - 1 ) * abs( INCX ) )  that  contains the vector x.

 *         Before entry,  the  incremented array  X  must contain  the n

 *         element right-hand side vector b. On exit,  X  is overwritten

 *         with the solution vector x.

 *

 * INCX    (local input)                 const int

 *         On entry, INCX specifies the increment for the elements of X.

 *         INCX must not be zero.

 *

 * ---------------------------------------------------------------------

 */

#ifdef HPL_CALL_CBLAS

   cblas_dtrsv( ORDER, UPLO, TRANS, DIAG, N, A, LDA, X, INCX );

#endif

#ifdef HPL_CALL_VSIPL

   if( ORDER == HplColumnMajor )

   {

      HPL_dtrsv0( UPLO, TRANS, DIAG, N, A, LDA, X, INCX );

   }

   else

   {

      HPL_dtrsv0( ( UPLO  == HplUpper   ? HplLower : HplUpper   ),

                  ( TRANS == HplNoTrans ? HplTrans : HplNoTrans ),

                  DIAG, N, A, LDA, X, INCX );

   }

#endif

#ifdef HPL_CALL_FBLAS

#ifdef StringSunStyle

#ifdef HPL_USE_F77_INTEGER_DEF

   F77_INTEGER               IONE = 1;

#else

   int                       IONE = 1;

#endif

#endif

#ifdef StringStructVal

   F77_CHAR                  fuplo, ftran, fdiag;

#endif

#ifdef StringStructPtr

   F77_CHAR                  fuplo, ftran, fdiag;

#endif

#ifdef StringCrayStyle

   F77_CHAR                  fuplo, ftran, fdiag;

#endif

#ifdef HPL_USE_F77_INTEGER_DEF

   const F77_INTEGER         F77N = N, F77lda = LDA, F77incx = INCX;

#else

#define F77N              N

#define F77lda            LDA

#define F77incx           INCX

#endif

   char                      cuplo, ctran, cdiag;

   if( ORDER == HplColumnMajor )

   {

      cuplo = ( UPLO  == HplUpper   ? 'U' : 'L' );

      ctran = ( TRANS == HplNoTrans ? 'N' : 'T' );

   }

   else

   {

      cuplo = ( UPLO  == HplUpper   ? 'L' : 'U' );

      ctran = ( TRANS == HplNoTrans ? 'T' : 'N' );

   }

   cdiag = ( DIAG == HplNonUnit ? 'N' : 'U' );

#ifdef StringSunStyle

   F77dtrsv( &cuplo, &ctran, &cdiag, &F77N, A, &F77lda, X, &F77incx,

             IONE, IONE, IONE );

#endif

#ifdef StringCrayStyle

   ftran = HPL_C2F_CHAR( ctran ); fdiag = HPL_C2F_CHAR( cdiag );

   fuplo = HPL_C2F_CHAR( cuplo );

   F77dtrsv( fuplo,  ftran,  fdiag,  &F77N, A, &F77lda, X, &F77incx );

#endif

#ifdef StringStructVal

   fuplo.len = 1; fuplo.cp = &cuplo; ftran.len = 1; ftran.cp = &ctran;

   fdiag.len = 1; fdiag.cp = &cdiag;

   F77dtrsv( fuplo,  ftran,  fdiag,  &F77N, A, &F77lda, X, &F77incx );

#endif

#ifdef StringStructPtr

   fuplo.len = 1; fuplo.cp = &cuplo; ftran.len = 1; ftran.cp = &ctran;

   fdiag.len = 1; fdiag.cp = &cdiag;

   F77dtrsv( &fuplo, &ftran, &fdiag, &F77N, A, &F77lda, X, &F77incx );

#endif

#endif

/*

 * End of HPL_dtrsv

 */

}

#endif