schktr.f

来自「famous linear algebra library (LAPACK) p」· F 代码 · 共 486 行 · 第 1/2 页

      SUBROUTINE SCHKTR( DOTYPE, NN, NVAL, NNB, NBVAL, NNS, NSVAL,
     $                   THRESH, TSTERR, NMAX, A, AINV, B, X, XACT,
     $                   WORK, RWORK, IWORK, NOUT )
*
*  -- LAPACK test routine (version 3.1) --
*     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
*     November 2006
*
*     .. Scalar Arguments ..
      LOGICAL            TSTERR
      INTEGER            NMAX, NN, NNB, NNS, NOUT
      REAL               THRESH
*     ..
*     .. Array Arguments ..
      LOGICAL            DOTYPE( * )
      INTEGER            IWORK( * ), NBVAL( * ), NSVAL( * ), NVAL( * )
      REAL               A( * ), AINV( * ), B( * ), RWORK( * ),
     $                   WORK( * ), X( * ), XACT( * )
*     ..
*
*  Purpose
*  =======
*
*  SCHKTR tests STRTRI, -TRS, -RFS, and -CON, and SLATRS
*
*  Arguments
*  =========
*
*  DOTYPE  (input) 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.
*
*  NN      (input) INTEGER
*          The number of values of N contained in the vector NVAL.
*
*  NVAL    (input) INTEGER array, dimension (NN)
*          The values of the matrix column dimension N.
*
*  NNB     (input) INTEGER
*          The number of values of NB contained in the vector NBVAL.
*
*  NBVAL   (input) INTEGER array, dimension (NNB)
*          The values of the blocksize NB.
*
*  NNS     (input) INTEGER
*          The number of values of NRHS contained in the vector NSVAL.
*
*  NSVAL   (input) INTEGER array, dimension (NNS)
*          The values of the number of right hand sides NRHS.
*
*  THRESH  (input) 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.
*
*  TSTERR  (input) LOGICAL
*          Flag that indicates whether error exits are to be tested.
*
*  NMAX    (input) INTEGER
*          The leading dimension of the work arrays.
*          NMAX >= the maximum value of N in NVAL.
*
*  A       (workspace) REAL array, dimension (NMAX*NMAX)
*
*  AINV    (workspace) REAL array, dimension (NMAX*NMAX)
*
*  B       (workspace) REAL array, dimension (NMAX*NSMAX)
*          where NSMAX is the largest entry in NSVAL.
*
*  X       (workspace) REAL array, dimension (NMAX*NSMAX)
*
*  XACT    (workspace) REAL array, dimension (NMAX*NSMAX)
*
*  WORK    (workspace) REAL array, dimension
*                      (NMAX*max(3,NSMAX))
*
*  RWORK   (workspace) REAL array, dimension
*                      (max(NMAX,2*NSMAX))
*
*  IWORK   (workspace) INTEGER array, dimension (NMAX)
*
*  NOUT    (input) INTEGER
*          The unit number for output.
*
*  =====================================================================
*
*     .. Parameters ..
      INTEGER            NTYPE1, NTYPES
      PARAMETER          ( NTYPE1 = 10, NTYPES = 18 )
      INTEGER            NTESTS
      PARAMETER          ( NTESTS = 9 )
      INTEGER            NTRAN
      PARAMETER          ( NTRAN = 3 )
      REAL               ONE, ZERO
      PARAMETER          ( ONE = 1.0E0, ZERO = 0.0E0 )
*     ..
*     .. Local Scalars ..
      CHARACTER          DIAG, NORM, TRANS, UPLO, XTYPE
      CHARACTER*3        PATH
      INTEGER            I, IDIAG, IMAT, IN, INB, INFO, IRHS, ITRAN,
     $                   IUPLO, K, LDA, N, NB, NERRS, NFAIL, NRHS, NRUN
      REAL               AINVNM, ANORM, DUMMY, RCOND, RCONDC, RCONDI,
     $                   RCONDO, SCALE
*     ..
*     .. Local Arrays ..
      CHARACTER          TRANSS( NTRAN ), UPLOS( 2 )
      INTEGER            ISEED( 4 ), ISEEDY( 4 )
      REAL               RESULT( NTESTS )
*     ..
*     .. External Functions ..
      LOGICAL            LSAME
      REAL               SLANTR
      EXTERNAL           LSAME, SLANTR
*     ..
*     .. External Subroutines ..
      EXTERNAL           ALAERH, ALAHD, ALASUM, SCOPY, SERRTR, SGET04,
     $                   SLACPY, SLARHS, SLATRS, SLATTR, STRCON, STRRFS,
     $                   STRT01, STRT02, STRT03, STRT05, STRT06, STRTRI,
     $                   STRTRS, XLAENV
*     ..
*     .. Scalars in Common ..
      LOGICAL            LERR, OK
      CHARACTER*6        SRNAMT
      INTEGER            INFOT, IOUNIT
*     ..
*     .. Common blocks ..
      COMMON             / INFOC / INFOT, IOUNIT, OK, LERR
      COMMON             / SRNAMC / SRNAMT
*     ..
*     .. Intrinsic Functions ..
      INTRINSIC          MAX
*     ..
*     .. Data statements ..
      DATA               ISEEDY / 1988, 1989, 1990, 1991 /
      DATA               UPLOS / 'U', 'L' / , TRANSS / 'N', 'T', 'C' /
*     ..
*     .. Executable Statements ..
*
*     Initialize constants and the random number seed.
*
      PATH( 1: 1 ) = 'Single precision'
      PATH( 2: 3 ) = 'TR'
      NRUN = 0
      NFAIL = 0
      NERRS = 0
      DO 10 I = 1, 4
         ISEED( I ) = ISEEDY( I )
   10 CONTINUE
*
*     Test the error exits
*
      IF( TSTERR )
     $   CALL SERRTR( PATH, NOUT )
      INFOT = 0
      CALL XLAENV( 2, 2 )
*
      DO 120 IN = 1, NN
*
*        Do for each value of N in NVAL
*
         N = NVAL( IN )
         LDA = MAX( 1, N )
         XTYPE = 'N'
*
         DO 80 IMAT = 1, NTYPE1
*
*           Do the tests only if DOTYPE( IMAT ) is true.
*
            IF( .NOT.DOTYPE( IMAT ) )
     $         GO TO 80
*
            DO 70 IUPLO = 1, 2
*
*              Do first for UPLO = 'U', then for UPLO = 'L'
*
               UPLO = UPLOS( IUPLO )
*
*              Call SLATTR to generate a triangular test matrix.
*
               SRNAMT = 'SLATTR'
               CALL SLATTR( IMAT, UPLO, 'No transpose', DIAG, ISEED, N,
     $                      A, LDA, X, WORK, INFO )
*
*              Set IDIAG = 1 for non-unit matrices, 2 for unit.
*
               IF( LSAME( DIAG, 'N' ) ) THEN
                  IDIAG = 1
               ELSE
                  IDIAG = 2
               END IF
*
               DO 60 INB = 1, NNB
*
*                 Do for each blocksize in NBVAL
*
                  NB = NBVAL( INB )
                  CALL XLAENV( 1, NB )
*
*+    TEST 1
*                 Form the inverse of A.
*
                  CALL SLACPY( UPLO, N, N, A, LDA, AINV, LDA )
                  SRNAMT = 'STRTRI'
                  CALL STRTRI( UPLO, DIAG, N, AINV, LDA, INFO )
*
*                 Check error code from STRTRI.
*
                  IF( INFO.NE.0 )
     $               CALL ALAERH( PATH, 'STRTRI', INFO, 0, UPLO // DIAG,
     $                            N, N, -1, -1, NB, IMAT, NFAIL, NERRS,
     $                            NOUT )
*
*                 Compute the infinity-norm condition number of A.
*
                  ANORM = SLANTR( 'I', UPLO, DIAG, N, N, A, LDA, RWORK )
                  AINVNM = SLANTR( 'I', UPLO, DIAG, N, N, AINV, LDA,
     $                     RWORK )
                  IF( ANORM.LE.ZERO .OR. AINVNM.LE.ZERO ) THEN
                     RCONDI = ONE
                  ELSE
                     RCONDI = ( ONE / ANORM ) / AINVNM
                  END IF
*
*                 Compute the residual for the triangular matrix times
*                 its inverse.  Also compute the 1-norm condition number
*                 of A.
*
                  CALL STRT01( UPLO, DIAG, N, A, LDA, AINV, LDA, RCONDO,
     $                         RWORK, RESULT( 1 ) )
*
*                 Print the test ratio if it is .GE. THRESH.
*
                  IF( RESULT( 1 ).GE.THRESH ) THEN
                     IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
     $                  CALL ALAHD( NOUT, PATH )
                     WRITE( NOUT, FMT = 9999 )UPLO, DIAG, N, NB, IMAT,
     $                  1, RESULT( 1 )
                     NFAIL = NFAIL + 1
                  END IF
                  NRUN = NRUN + 1
*
*                 Skip remaining tests if not the first block size.