schkps.f

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*> \brief \b SCHKPS
*
*  =========== DOCUMENTATION ===========
*
* Online html documentation available at 
*            http://www.netlib.org/lapack/explore-html/ 
*
*  Definition:
*  ===========
*
*       SUBROUTINE SCHKPS( DOTYPE, NN, NVAL, NNB, NBVAL, NRANK, RANKVAL,
*                          THRESH, TSTERR, NMAX, A, AFAC, PERM, PIV, WORK,
*                          RWORK, NOUT )
* 
*       .. Scalar Arguments ..
*       REAL               THRESH
*       INTEGER            NMAX, NN, NNB, NOUT, NRANK
*       LOGICAL            TSTERR
*       ..
*       .. Array Arguments ..
*       REAL               A( * ), AFAC( * ), PERM( * ), RWORK( * ),
*      $                   WORK( * )
*       INTEGER            NBVAL( * ), NVAL( * ), PIV( * ), RANKVAL( * )
*       LOGICAL            DOTYPE( * )
*       ..
*  
*
*> \par Purpose:
*  =============
*>
*> \verbatim
*>
*> SCHKPS tests SPSTRF.
*> \endverbatim
*
*  Arguments:
*  ==========
*
*> \param[in] DOTYPE
*> \verbatim
*>          DOTYPE is LOGICAL array, dimension (NTYPES)
*>          The matrix types to be used for testing.  Matrices of type j
*>          (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) =
*>          .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used.
*> \endverbatim
*>
*> \param[in] NN
*> \verbatim
*>          NN is INTEGER
*>          The number of values of N contained in the vector NVAL.
*> \endverbatim
*>
*> \param[in] NVAL
*> \verbatim
*>          NVAL is INTEGER array, dimension (NN)
*>          The values of the matrix dimension N.
*> \endverbatim
*>
*> \param[in] NNB
*> \verbatim
*>          NNB is INTEGER
*>          The number of values of NB contained in the vector NBVAL.
*> \endverbatim
*>
*> \param[in] NBVAL
*> \verbatim
*>          NBVAL is INTEGER array, dimension (NBVAL)
*>          The values of the block size NB.
*> \endverbatim
*>
*> \param[in] NRANK
*> \verbatim
*>          NRANK is INTEGER
*>          The number of values of RANK contained in the vector RANKVAL.
*> \endverbatim
*>
*> \param[in] RANKVAL
*> \verbatim
*>          RANKVAL is INTEGER array, dimension (NBVAL)
*>          The values of the block size NB.
*> \endverbatim
*>
*> \param[in] THRESH
*> \verbatim
*>          THRESH is REAL
*>          The threshold value for the test ratios.  A result is
*>          included in the output file if RESULT >= THRESH.  To have
*>          every test ratio printed, use THRESH = 0.
*> \endverbatim
*>
*> \param[in] TSTERR
*> \verbatim
*>          TSTERR is LOGICAL
*>          Flag that indicates whether error exits are to be tested.
*> \endverbatim
*>
*> \param[in] NMAX
*> \verbatim
*>          NMAX is INTEGER
*>          The maximum value permitted for N, used in dimensioning the
*>          work arrays.
*> \endverbatim
*>
*> \param[out] A
*> \verbatim
*>          A is REAL array, dimension (NMAX*NMAX)
*> \endverbatim
*>
*> \param[out] AFAC
*> \verbatim
*>          AFAC is REAL array, dimension (NMAX*NMAX)
*> \endverbatim
*>
*> \param[out] PERM
*> \verbatim
*>          PERM is REAL array, dimension (NMAX*NMAX)
*> \endverbatim
*>
*> \param[out] PIV
*> \verbatim
*>          PIV is INTEGER array, dimension (NMAX)
*> \endverbatim
*>
*> \param[out] WORK
*> \verbatim
*>          WORK is REAL array, dimension (NMAX*3)
*> \endverbatim
*>
*> \param[out] RWORK
*> \verbatim
*>          RWORK is REAL array, dimension (NMAX)
*> \endverbatim
*>
*> \param[in] NOUT
*> \verbatim
*>          NOUT is INTEGER
*>          The unit number for output.
*> \endverbatim
*
*  Authors:
*  ========
*
*> \author Univ. of Tennessee 
*> \author Univ. of California Berkeley 
*> \author Univ. of Colorado Denver 
*> \author NAG Ltd. 
*
*> \date November 2011
*
*> \ingroup single_lin
*
*  =====================================================================
      SUBROUTINE schkps( DOTYPE, NN, NVAL, NNB, NBVAL, NRANK, RANKVAL,
     $                   thresh, tsterr, nmax, a, afac, perm, piv, work,
     $                   rwork, nout )
*
*  -- LAPACK test routine (version 3.4.0) --
*  -- LAPACK is a software package provided by Univ. of Tennessee,    --
*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
*     November 2011
*
*     .. Scalar Arguments ..
      REAL               THRESH
      INTEGER            NMAX, NN, NNB, NOUT, NRANK
      LOGICAL            TSTERR
*     ..
*     .. Array Arguments ..
      REAL               A( * ), AFAC( * ), PERM( * ), RWORK( * ),
     $                   work( * )
      INTEGER            NBVAL( * ), NVAL( * ), PIV( * ), RANKVAL( * )
      LOGICAL            DOTYPE( * )
*     ..
*
*  =====================================================================
*
*     .. Parameters ..
      REAL               ONE
      parameter                ( one = 1.0e+0 )
      INTEGER            NTYPES
      parameter                ( ntypes = 9 )
*     ..
*     .. Local Scalars ..
      REAL               ANORM, CNDNUM, RESULT, TOL
      INTEGER            COMPRANK, I, IMAT, IN, INB, INFO, IRANK, IUPLO,
     $                   izero, kl, ku, lda, mode, n, nb, nerrs, nfail,
     $                   nimat, nrun, rank, rankdiff
      CHARACTER          DIST, TYPE, UPLO
      CHARACTER*3        PATH
*     ..
*     .. Local Arrays ..
      INTEGER            ISEED( 4 ), ISEEDY( 4 )
      CHARACTER          UPLOS( 2 )
*     ..
*     .. External Subroutines ..
      EXTERNAL           alaerh, alahd, alasum, serrps, slacpy, slatb5,
     $                   slatmt, spst01, spstrf, xlaenv
*     ..
*     .. Scalars in Common ..
      INTEGER            INFOT, NUNIT
      LOGICAL            LERR, OK
      CHARACTER*32       SRNAMT
*     ..
*     .. Common blocks ..
      COMMON             / infoc / infot, nunit, ok, lerr
      COMMON             / srnamc / srnamt
*     ..
*     .. Intrinsic Functions ..
      INTRINSIC          max, REAL, CEILING
*     ..
*     .. Data statements ..
      DATA               iseedy / 1988, 1989, 1990, 1991 /
      DATA               uplos / 'U', 'L' /
*     ..
*     .. Executable Statements ..
*
*     Initialize constants and the random number seed.
*
      path( 1: 1 ) = 'Single Precision'
      path( 2: 3 ) = 'PS'
      nrun = 0
      nfail = 0
      nerrs = 0
      DO 100 i = 1, 4
         iseed( i ) = iseedy( i )
  100 CONTINUE
*
*     Test the error exits
*
      IF( tsterr )
     $   CALL serrps( path, nout )
      infot = 0
      CALL xlaenv( 2, 2 )
*
*     Do for each value of N in NVAL
*
      DO 150 in = 1, nn
         n = nval( in )
         lda = max( n, 1 )
         nimat = ntypes
         IF( n.LE.0 )
     $      nimat = 1
*
         izero = 0
         DO 140 imat = 1, nimat
*
*           Do the tests only if DOTYPE( IMAT ) is true.
*
            IF( .NOT.dotype( imat ) )
     $         GO TO 140
*
*              Do for each value of RANK in RANKVAL
*
            DO 130 irank = 1, nrank
*
*              Only repeat test 3 to 5 for different ranks
*              Other tests use full rank
*
               IF( ( imat.LT.3 .OR. imat.GT.5 ) .AND. irank.GT.1 )
     $            GO TO 130
*
               rank = ceiling( ( n * REAL( RANKVAL( IRANK ) ) )
     $              / 100.e+0 )
*
*
*           Do first for UPLO = 'U', then for UPLO = 'L'
*
               DO 120 iuplo = 1, 2
                  uplo = uplos( iuplo )
*
*              Set up parameters with SLATB5 and generate a test matrix
*              with SLATMT.
*
                  CALL slatb5( path, imat, n, TYPE, KL, KU, ANORM,
     $                         mode, cndnum, dist )
*
                  srnamt = 'SLATMT'
                  CALL slatmt( n, n, dist, iseed, TYPE, RWORK, MODE,
     $                         cndnum, anorm, rank, kl, ku, uplo, a,
     $                         lda, work, info )
*
*              Check error code from SLATMT.
*
                  IF( info.NE.0 ) THEN
                    CALL alaerh( path, 'SLATMT', info, 0, uplo, n,
     $                           n, -1, -1, -1, imat, nfail, nerrs, 
     $                           nout )
                     GO TO 120
                  END IF
*
*              Do for each value of NB in NBVAL
*
                  DO 110 inb = 1, nnb
                     nb = nbval( inb )
                     CALL xlaenv( 1, nb )
*
*                 Compute the pivoted L*L' or U'*U factorization
*                 of the matrix.
*
                     CALL slacpy( uplo, n, n, a, lda, afac, lda )
                     srnamt = 'SPSTRF'
*
*                 Use default tolerance
*
                     tol = -one
                     CALL spstrf( uplo, n, afac, lda, piv, comprank,
     $                            tol, work, info )
*
*                 Check error code from SPSTRF.
*
                     IF( (info.LT.izero)
     $                    .OR.(info.NE.izero.AND.rank.EQ.n)
     $                    .OR.(info.LE.izero.AND.rank.LT.n) ) THEN
                        CALL alaerh( path, 'SPSTRF', info, izero,
     $                               uplo, n, n, -1, -1, nb, imat,
     $                               nfail, nerrs, nout )
                        GO TO 110
                     END IF
*
*                 Skip the test if INFO is not 0.
*
                     IF( info.NE.0 )
     $                  GO TO 110
*
*                 Reconstruct matrix from factors and compute residual.
*
*                 PERM holds permuted L*L^T or U^T*U
*
                     CALL spst01( uplo, n, a, lda, afac, lda, perm, lda,
     $                            piv, rwork, result, comprank )
*
*                 Print information about the tests that did not pass
*                 the threshold or where computed rank was not RANK.
*
                     IF( n.EQ.0 )
     $                  comprank = 0
                     rankdiff = rank - comprank
                     IF( result.GE.thresh ) THEN
                        IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
     $                     CALL alahd( nout, path )
                        WRITE( nout, fmt = 9999 )uplo, n, rank,
     $                     rankdiff, nb, imat, result
                        nfail = nfail + 1
                     END IF
                     nrun = nrun + 1
  110             CONTINUE
*
  120          CONTINUE
  130       CONTINUE
  140    CONTINUE
  150 CONTINUE
*
*     Print a summary of the results.
*
      CALL alasum( path, nout, nfail, nrun, nerrs )
*
 9999 FORMAT( ' UPLO = ''', a1, ''', N =', i5, ', RANK =', i3,
     $      ', Diff =', i5, ', NB =', i4, ', type ', i2, ', Ratio =',
     $      g12.5 )
      RETURN
*
*     End of SCHKPS
*
      END