sdrvgb.f

来自「famous linear algebra library (LAPACK) p」· F 代码 · 共 737 行 · 第 1/3 页

      SUBROUTINE SDRVGB( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, A, LA,
     $                   AFB, LAFB, ASAV, B, BSAV, X, XACT, S, 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            LA, LAFB, NN, NOUT, NRHS
      REAL               THRESH
*     ..
*     .. Array Arguments ..
      LOGICAL            DOTYPE( * )
      INTEGER            IWORK( * ), NVAL( * )
      REAL               A( * ), AFB( * ), ASAV( * ), B( * ), BSAV( * ),
     $                   RWORK( * ), S( * ), WORK( * ), X( * ),
     $                   XACT( * )
*     ..
*
*  Purpose
*  =======
*
*  SDRVGB tests the driver routines SGBSV and -SVX.
*
*  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.
*
*  NRHS    (input) INTEGER
*          The number of right hand side vectors to be generated for
*          each linear system.
*
*  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.
*
*  A       (workspace) REAL array, dimension (LA)
*
*  LA      (input) INTEGER
*          The length of the array A.  LA >= (2*NMAX-1)*NMAX
*          where NMAX is the largest entry in NVAL.
*
*  AFB     (workspace) REAL array, dimension (LAFB)
*
*  LAFB    (input) INTEGER
*          The length of the array AFB.  LAFB >= (3*NMAX-2)*NMAX
*          where NMAX is the largest entry in NVAL.
*
*  ASAV    (workspace) REAL array, dimension (LA)
*
*  B       (workspace) REAL array, dimension (NMAX*NRHS)
*
*  BSAV    (workspace) REAL array, dimension (NMAX*NRHS)
*
*  X       (workspace) REAL array, dimension (NMAX*NRHS)
*
*  XACT    (workspace) REAL array, dimension (NMAX*NRHS)
*
*  S       (workspace) REAL array, dimension (2*NMAX)
*
*  WORK    (workspace) REAL array, dimension
*                      (NMAX*max(3,NRHS,NMAX))
*
*  RWORK   (workspace) REAL array, dimension
*                      (max(NMAX,2*NRHS))
*
*  IWORK   (workspace) INTEGER array, dimension (2*NMAX)
*
*  NOUT    (input) INTEGER
*          The unit number for output.
*
*  =====================================================================
*
*     .. Parameters ..
      REAL               ONE, ZERO
      PARAMETER          ( ONE = 1.0E+0, ZERO = 0.0E+0 )
      INTEGER            NTYPES
      PARAMETER          ( NTYPES = 8 )
      INTEGER            NTESTS
      PARAMETER          ( NTESTS = 7 )
      INTEGER            NTRAN
      PARAMETER          ( NTRAN = 3 )
*     ..
*     .. Local Scalars ..
      LOGICAL            EQUIL, NOFACT, PREFAC, TRFCON, ZEROT
      CHARACTER          DIST, EQUED, FACT, TRANS, TYPE, XTYPE
      CHARACTER*3        PATH
      INTEGER            I, I1, I2, IEQUED, IFACT, IKL, IKU, IMAT, IN,
     $                   INFO, IOFF, ITRAN, IZERO, J, K, K1, KL, KU,
     $                   LDA, LDAFB, LDB, MODE, N, NB, NBMIN, NERRS,
     $                   NFACT, NFAIL, NIMAT, NKL, NKU, NRUN, NT
      REAL               AINVNM, AMAX, ANORM, ANORMI, ANORMO, ANRMPV,
     $                   CNDNUM, COLCND, RCOND, RCONDC, RCONDI, RCONDO,
     $                   ROLDC, ROLDI, ROLDO, ROWCND, RPVGRW
*     ..
*     .. Local Arrays ..
      CHARACTER          EQUEDS( 4 ), FACTS( 3 ), TRANSS( NTRAN )
      INTEGER            ISEED( 4 ), ISEEDY( 4 )
      REAL               RESULT( NTESTS )
*     ..
*     .. External Functions ..
      LOGICAL            LSAME
      REAL               SGET06, SLAMCH, SLANGB, SLANGE, SLANTB
      EXTERNAL           LSAME, SGET06, SLAMCH, SLANGB, SLANGE, SLANTB
*     ..
*     .. External Subroutines ..
      EXTERNAL           ALADHD, ALAERH, ALASVM, SERRVX, SGBEQU, SGBSV,
     $                   SGBSVX, SGBT01, SGBT02, SGBT05, SGBTRF, SGBTRS,
     $                   SGET04, SLACPY, SLAQGB, SLARHS, SLASET, SLATB4,
     $                   SLATMS, XLAENV
*     ..
*     .. Intrinsic Functions ..
      INTRINSIC          ABS, MAX, MIN
*     ..
*     .. Scalars in Common ..
      LOGICAL            LERR, OK
      CHARACTER*6        SRNAMT
      INTEGER            INFOT, NUNIT
*     ..
*     .. Common blocks ..
      COMMON             / INFOC / INFOT, NUNIT, OK, LERR
      COMMON             / SRNAMC / SRNAMT
*     ..
*     .. Data statements ..
      DATA               ISEEDY / 1988, 1989, 1990, 1991 /
      DATA               TRANSS / 'N', 'T', 'C' /
      DATA               FACTS / 'F', 'N', 'E' /
      DATA               EQUEDS / 'N', 'R', 'C', 'B' /
*     ..
*     .. Executable Statements ..
*
*     Initialize constants and the random number seed.
*
      PATH( 1: 1 ) = 'Single precision'
      PATH( 2: 3 ) = 'GB'
      NRUN = 0
      NFAIL = 0
      NERRS = 0
      DO 10 I = 1, 4
         ISEED( I ) = ISEEDY( I )
   10 CONTINUE
*
*     Test the error exits
*
      IF( TSTERR )
     $   CALL SERRVX( PATH, NOUT )
      INFOT = 0
*
*     Set the block size and minimum block size for testing.
*
      NB = 1
      NBMIN = 2
      CALL XLAENV( 1, NB )
      CALL XLAENV( 2, NBMIN )
*
*     Do for each value of N in NVAL
*
      DO 150 IN = 1, NN
         N = NVAL( IN )
         LDB = MAX( N, 1 )
         XTYPE = 'N'
*
*        Set limits on the number of loop iterations.
*
         NKL = MAX( 1, MIN( N, 4 ) )
         IF( N.EQ.0 )
     $      NKL = 1
         NKU = NKL
         NIMAT = NTYPES
         IF( N.LE.0 )
     $      NIMAT = 1
*
         DO 140 IKL = 1, NKL
*
*           Do for KL = 0, N-1, (3N-1)/4, and (N+1)/4. This order makes
*           it easier to skip redundant values for small values of N.
*
            IF( IKL.EQ.1 ) THEN
               KL = 0
            ELSE IF( IKL.EQ.2 ) THEN
               KL = MAX( N-1, 0 )
            ELSE IF( IKL.EQ.3 ) THEN
               KL = ( 3*N-1 ) / 4
            ELSE IF( IKL.EQ.4 ) THEN
               KL = ( N+1 ) / 4
            END IF
            DO 130 IKU = 1, NKU
*
*              Do for KU = 0, N-1, (3N-1)/4, and (N+1)/4. This order
*              makes it easier to skip redundant values for small
*              values of N.
*
               IF( IKU.EQ.1 ) THEN
                  KU = 0
               ELSE IF( IKU.EQ.2 ) THEN
                  KU = MAX( N-1, 0 )
               ELSE IF( IKU.EQ.3 ) THEN
                  KU = ( 3*N-1 ) / 4
               ELSE IF( IKU.EQ.4 ) THEN
                  KU = ( N+1 ) / 4
               END IF
*
*              Check that A and AFB are big enough to generate this
*              matrix.
*
               LDA = KL + KU + 1
               LDAFB = 2*KL + KU + 1
               IF( LDA*N.GT.LA .OR. LDAFB*N.GT.LAFB ) THEN
                  IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
     $               CALL ALADHD( NOUT, PATH )
                  IF( LDA*N.GT.LA ) THEN
                     WRITE( NOUT, FMT = 9999 )LA, N, KL, KU,
     $                  N*( KL+KU+1 )
                     NERRS = NERRS + 1
                  END IF
                  IF( LDAFB*N.GT.LAFB ) THEN
                     WRITE( NOUT, FMT = 9998 )LAFB, N, KL, KU,
     $                  N*( 2*KL+KU+1 )
                     NERRS = NERRS + 1
                  END IF
                  GO TO 130
               END IF
*
               DO 120 IMAT = 1, NIMAT
*
*                 Do the tests only if DOTYPE( IMAT ) is true.
*
                  IF( .NOT.DOTYPE( IMAT ) )
     $               GO TO 120
*