ddrvpt.f

来自「famous linear algebra library (LAPACK) p」· F 代码 · 共 491 行 · 第 1/2 页

      SUBROUTINE DDRVPT( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, A, D,
     $                   E, B, X, XACT, WORK, RWORK, NOUT )
*
*  -- LAPACK test routine (version 3.1) --
*     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
*     November 2006
*
*     .. Scalar Arguments ..
      LOGICAL            TSTERR
      INTEGER            NN, NOUT, NRHS
      DOUBLE PRECISION   THRESH
*     ..
*     .. Array Arguments ..
      LOGICAL            DOTYPE( * )
      INTEGER            NVAL( * )
      DOUBLE PRECISION   A( * ), B( * ), D( * ), E( * ), RWORK( * ),
     $                   WORK( * ), X( * ), XACT( * )
*     ..
*
*  Purpose
*  =======
*
*  DDRVPT tests DPTSV 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 dimension N.
*
*  NRHS    (input) INTEGER
*          The number of right hand side vectors to be generated for
*          each linear system.
*
*  THRESH  (input) DOUBLE PRECISION
*          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) DOUBLE PRECISION array, dimension (NMAX*2)
*
*  D       (workspace) DOUBLE PRECISION array, dimension (NMAX*2)
*
*  E       (workspace) DOUBLE PRECISION array, dimension (NMAX*2)
*
*  B       (workspace) DOUBLE PRECISION array, dimension (NMAX*NRHS)
*
*  X       (workspace) DOUBLE PRECISION array, dimension (NMAX*NRHS)
*
*  XACT    (workspace) DOUBLE PRECISION array, dimension (NMAX*NRHS)
*
*  WORK    (workspace) DOUBLE PRECISION array, dimension
*                      (NMAX*max(3,NRHS))
*
*  RWORK   (workspace) DOUBLE PRECISION array, dimension
*                      (max(NMAX,2*NRHS))
*
*  NOUT    (input) INTEGER
*          The unit number for output.
*
*  =====================================================================
*
*     .. Parameters ..
      DOUBLE PRECISION   ONE, ZERO
      PARAMETER          ( ONE = 1.0D+0, ZERO = 0.0D+0 )
      INTEGER            NTYPES
      PARAMETER          ( NTYPES = 12 )
      INTEGER            NTESTS
      PARAMETER          ( NTESTS = 6 )
*     ..
*     .. Local Scalars ..
      LOGICAL            ZEROT
      CHARACTER          DIST, FACT, TYPE
      CHARACTER*3        PATH
      INTEGER            I, IA, IFACT, IMAT, IN, INFO, IX, IZERO, J, K,
     $                   K1, KL, KU, LDA, MODE, N, NERRS, NFAIL, NIMAT,
     $                   NRUN, NT
      DOUBLE PRECISION   AINVNM, ANORM, COND, DMAX, RCOND, RCONDC
*     ..
*     .. Local Arrays ..
      INTEGER            ISEED( 4 ), ISEEDY( 4 )
      DOUBLE PRECISION   RESULT( NTESTS ), Z( 3 )
*     ..
*     .. External Functions ..
      INTEGER            IDAMAX
      DOUBLE PRECISION   DASUM, DGET06, DLANST
      EXTERNAL           IDAMAX, DASUM, DGET06, DLANST
*     ..
*     .. External Subroutines ..
      EXTERNAL           ALADHD, ALAERH, ALASVM, DCOPY, DERRVX, DGET04,
     $                   DLACPY, DLAPTM, DLARNV, DLASET, DLATB4, DLATMS,
     $                   DPTSV, DPTSVX, DPTT01, DPTT02, DPTT05, DPTTRF,
     $                   DPTTRS, DSCAL
*     ..
*     .. Intrinsic Functions ..
      INTRINSIC          ABS, MAX
*     ..
*     .. 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 / 0, 0, 0, 1 /
*     ..
*     .. Executable Statements ..
*
      PATH( 1: 1 ) = 'Double precision'
      PATH( 2: 3 ) = 'PT'
      NRUN = 0
      NFAIL = 0
      NERRS = 0
      DO 10 I = 1, 4
         ISEED( I ) = ISEEDY( I )
   10 CONTINUE
*
*     Test the error exits
*
      IF( TSTERR )
     $   CALL DERRVX( PATH, NOUT )
      INFOT = 0
*
      DO 120 IN = 1, NN
*
*        Do for each value of N in NVAL.
*
         N = NVAL( IN )
         LDA = MAX( 1, N )
         NIMAT = NTYPES
         IF( N.LE.0 )
     $      NIMAT = 1
*
         DO 110 IMAT = 1, NIMAT
*
*           Do the tests only if DOTYPE( IMAT ) is true.
*
            IF( N.GT.0 .AND. .NOT.DOTYPE( IMAT ) )
     $         GO TO 110
*
*           Set up parameters with DLATB4.
*
            CALL DLATB4( PATH, IMAT, N, N, TYPE, KL, KU, ANORM, MODE,
     $                   COND, DIST )
*
            ZEROT = IMAT.GE.8 .AND. IMAT.LE.10
            IF( IMAT.LE.6 ) THEN
*
*              Type 1-6:  generate a symmetric tridiagonal matrix of
*              known condition number in lower triangular band storage.
*
               SRNAMT = 'DLATMS'
               CALL DLATMS( N, N, DIST, ISEED, TYPE, RWORK, MODE, COND,
     $                      ANORM, KL, KU, 'B', A, 2, WORK, INFO )
*
*              Check the error code from DLATMS.
*
               IF( INFO.NE.0 ) THEN
                  CALL ALAERH( PATH, 'DLATMS', INFO, 0, ' ', N, N, KL,
     $                         KU, -1, IMAT, NFAIL, NERRS, NOUT )
                  GO TO 110
               END IF
               IZERO = 0
*
*              Copy the matrix to D and E.
*
               IA = 1
               DO 20 I = 1, N - 1
                  D( I ) = A( IA )
                  E( I ) = A( IA+1 )
                  IA = IA + 2
   20          CONTINUE
               IF( N.GT.0 )
     $            D( N ) = A( IA )
            ELSE
*
*              Type 7-12:  generate a diagonally dominant matrix with
*              unknown condition number in the vectors D and E.
*
               IF( .NOT.ZEROT .OR. .NOT.DOTYPE( 7 ) ) THEN
*
*                 Let D and E have values from [-1,1].
*
                  CALL DLARNV( 2, ISEED, N, D )
                  CALL DLARNV( 2, ISEED, N-1, E )
*
*                 Make the tridiagonal matrix diagonally dominant.
*
                  IF( N.EQ.1 ) THEN
                     D( 1 ) = ABS( D( 1 ) )
                  ELSE
                     D( 1 ) = ABS( D( 1 ) ) + ABS( E( 1 ) )
                     D( N ) = ABS( D( N ) ) + ABS( E( N-1 ) )
                     DO 30 I = 2, N - 1
                        D( I ) = ABS( D( I ) ) + ABS( E( I ) ) +
     $                           ABS( E( I-1 ) )
   30                CONTINUE
                  END IF
*
*                 Scale D and E so the maximum element is ANORM.
*
                  IX = IDAMAX( N, D, 1 )
                  DMAX = D( IX )
                  CALL DSCAL( N, ANORM / DMAX, D, 1 )
                  IF( N.GT.1 )
     $               CALL DSCAL( N-1, ANORM / DMAX, E, 1 )
*
               ELSE IF( IZERO.GT.0 ) THEN
*
*                 Reuse the last matrix by copying back the zeroed out
*                 elements.
*
                  IF( IZERO.EQ.1 ) THEN
                     D( 1 ) = Z( 2 )
                     IF( N.GT.1 )
     $                  E( 1 ) = Z( 3 )
                  ELSE IF( IZERO.EQ.N ) THEN
                     E( N-1 ) = Z( 1 )
                     D( N ) = Z( 2 )
                  ELSE
                     E( IZERO-1 ) = Z( 1 )
                     D( IZERO ) = Z( 2 )
                     E( IZERO ) = Z( 3 )
                  END IF
               END IF
*
*              For types 8-10, set one row and column of the matrix to
*              zero.
*
               IZERO = 0
               IF( IMAT.EQ.8 ) THEN
                  IZERO = 1