715 lines
		
	
	
		
			25 KiB
		
	
	
	
		
			Fortran
		
	
	
	
			
		
		
	
	
			715 lines
		
	
	
		
			25 KiB
		
	
	
	
		
			Fortran
		
	
	
	
*> \brief \b DDRVGE
 | 
						|
*
 | 
						|
*  =========== DOCUMENTATION ===========
 | 
						|
*
 | 
						|
* Online html documentation available at
 | 
						|
*            http://www.netlib.org/lapack/explore-html/
 | 
						|
*
 | 
						|
*  Definition:
 | 
						|
*  ===========
 | 
						|
*
 | 
						|
*       SUBROUTINE DDRVGE( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, NMAX,
 | 
						|
*                          A, AFAC, ASAV, B, BSAV, X, XACT, S, WORK,
 | 
						|
*                          RWORK, IWORK, NOUT )
 | 
						|
*
 | 
						|
*       .. Scalar Arguments ..
 | 
						|
*       LOGICAL            TSTERR
 | 
						|
*       INTEGER            NMAX, NN, NOUT, NRHS
 | 
						|
*       DOUBLE PRECISION   THRESH
 | 
						|
*       ..
 | 
						|
*       .. Array Arguments ..
 | 
						|
*       LOGICAL            DOTYPE( * )
 | 
						|
*       INTEGER            IWORK( * ), NVAL( * )
 | 
						|
*       DOUBLE PRECISION   A( * ), AFAC( * ), ASAV( * ), B( * ),
 | 
						|
*      $                   BSAV( * ), RWORK( * ), S( * ), WORK( * ),
 | 
						|
*      $                   X( * ), XACT( * )
 | 
						|
*       ..
 | 
						|
*
 | 
						|
*
 | 
						|
*> \par Purpose:
 | 
						|
*  =============
 | 
						|
*>
 | 
						|
*> \verbatim
 | 
						|
*>
 | 
						|
*> DDRVGE tests the driver routines DGESV and -SVX.
 | 
						|
*> \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 column dimension N.
 | 
						|
*> \endverbatim
 | 
						|
*>
 | 
						|
*> \param[in] NRHS
 | 
						|
*> \verbatim
 | 
						|
*>          NRHS is INTEGER
 | 
						|
*>          The number of right hand side vectors to be generated for
 | 
						|
*>          each linear system.
 | 
						|
*> \endverbatim
 | 
						|
*>
 | 
						|
*> \param[in] THRESH
 | 
						|
*> \verbatim
 | 
						|
*>          THRESH is 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.
 | 
						|
*> \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 DOUBLE PRECISION array, dimension (NMAX*NMAX)
 | 
						|
*> \endverbatim
 | 
						|
*>
 | 
						|
*> \param[out] AFAC
 | 
						|
*> \verbatim
 | 
						|
*>          AFAC is DOUBLE PRECISION array, dimension (NMAX*NMAX)
 | 
						|
*> \endverbatim
 | 
						|
*>
 | 
						|
*> \param[out] ASAV
 | 
						|
*> \verbatim
 | 
						|
*>          ASAV is DOUBLE PRECISION array, dimension (NMAX*NMAX)
 | 
						|
*> \endverbatim
 | 
						|
*>
 | 
						|
*> \param[out] B
 | 
						|
*> \verbatim
 | 
						|
*>          B is DOUBLE PRECISION array, dimension (NMAX*NRHS)
 | 
						|
*> \endverbatim
 | 
						|
*>
 | 
						|
*> \param[out] BSAV
 | 
						|
*> \verbatim
 | 
						|
*>          BSAV is DOUBLE PRECISION array, dimension (NMAX*NRHS)
 | 
						|
*> \endverbatim
 | 
						|
*>
 | 
						|
*> \param[out] X
 | 
						|
*> \verbatim
 | 
						|
*>          X is DOUBLE PRECISION array, dimension (NMAX*NRHS)
 | 
						|
*> \endverbatim
 | 
						|
*>
 | 
						|
*> \param[out] XACT
 | 
						|
*> \verbatim
 | 
						|
*>          XACT is DOUBLE PRECISION array, dimension (NMAX*NRHS)
 | 
						|
*> \endverbatim
 | 
						|
*>
 | 
						|
*> \param[out] S
 | 
						|
*> \verbatim
 | 
						|
*>          S is DOUBLE PRECISION array, dimension (2*NMAX)
 | 
						|
*> \endverbatim
 | 
						|
*>
 | 
						|
*> \param[out] WORK
 | 
						|
*> \verbatim
 | 
						|
*>          WORK is DOUBLE PRECISION array, dimension
 | 
						|
*>                      (NMAX*max(3,NRHS))
 | 
						|
*> \endverbatim
 | 
						|
*>
 | 
						|
*> \param[out] RWORK
 | 
						|
*> \verbatim
 | 
						|
*>          RWORK is DOUBLE PRECISION array, dimension (2*NRHS+NMAX)
 | 
						|
*> \endverbatim
 | 
						|
*>
 | 
						|
*> \param[out] IWORK
 | 
						|
*> \verbatim
 | 
						|
*>          IWORK is INTEGER array, dimension (2*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.
 | 
						|
*
 | 
						|
*> \ingroup double_lin
 | 
						|
*
 | 
						|
*  =====================================================================
 | 
						|
      SUBROUTINE DDRVGE( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, NMAX,
 | 
						|
     $                   A, AFAC, ASAV, B, BSAV, X, XACT, S, WORK,
 | 
						|
     $                   RWORK, IWORK, NOUT )
 | 
						|
*
 | 
						|
*  -- LAPACK test routine --
 | 
						|
*  -- LAPACK is a software package provided by Univ. of Tennessee,    --
 | 
						|
*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
 | 
						|
*
 | 
						|
*     .. Scalar Arguments ..
 | 
						|
      LOGICAL            TSTERR
 | 
						|
      INTEGER            NMAX, NN, NOUT, NRHS
 | 
						|
      DOUBLE PRECISION   THRESH
 | 
						|
*     ..
 | 
						|
*     .. Array Arguments ..
 | 
						|
      LOGICAL            DOTYPE( * )
 | 
						|
      INTEGER            IWORK( * ), NVAL( * )
 | 
						|
      DOUBLE PRECISION   A( * ), AFAC( * ), ASAV( * ), B( * ),
 | 
						|
     $                   BSAV( * ), RWORK( * ), S( * ), WORK( * ),
 | 
						|
     $                   X( * ), XACT( * )
 | 
						|
*     ..
 | 
						|
*
 | 
						|
*  =====================================================================
 | 
						|
*
 | 
						|
*     .. Parameters ..
 | 
						|
      DOUBLE PRECISION   ONE, ZERO
 | 
						|
      PARAMETER          ( ONE = 1.0D+0, ZERO = 0.0D+0 )
 | 
						|
      INTEGER            NTYPES
 | 
						|
      PARAMETER          ( NTYPES = 11 )
 | 
						|
      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, IEQUED, IFACT, IMAT, IN, INFO, IOFF, ITRAN,
 | 
						|
     $                   IZERO, K, K1, KL, KU, LDA, LWORK, MODE, N, NB,
 | 
						|
     $                   NBMIN, NERRS, NFACT, NFAIL, NIMAT, NRUN, NT
 | 
						|
      DOUBLE PRECISION   AINVNM, AMAX, ANORM, ANORMI, ANORMO, 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 )
 | 
						|
      DOUBLE PRECISION   RESULT( NTESTS )
 | 
						|
*     ..
 | 
						|
*     .. External Functions ..
 | 
						|
      LOGICAL            LSAME
 | 
						|
      DOUBLE PRECISION   DGET06, DLAMCH, DLANGE, DLANTR
 | 
						|
      EXTERNAL           LSAME, DGET06, DLAMCH, DLANGE, DLANTR
 | 
						|
*     ..
 | 
						|
*     .. External Subroutines ..
 | 
						|
      EXTERNAL           ALADHD, ALAERH, ALASVM, DERRVX, DGEEQU, DGESV,
 | 
						|
     $                   DGESVX, DGET01, DGET02, DGET04, DGET07, DGETRF,
 | 
						|
     $                   DGETRI, DLACPY, DLAQGE, DLARHS, DLASET, DLATB4,
 | 
						|
     $                   DLATMS, XLAENV
 | 
						|
*     ..
 | 
						|
*     .. Intrinsic Functions ..
 | 
						|
      INTRINSIC          ABS, MAX
 | 
						|
*     ..
 | 
						|
*     .. Scalars in Common ..
 | 
						|
      LOGICAL            LERR, OK
 | 
						|
      CHARACTER*32       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 ) = 'Double precision'
 | 
						|
      PATH( 2: 3 ) = 'GE'
 | 
						|
      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
 | 
						|
*
 | 
						|
*     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 90 IN = 1, NN
 | 
						|
         N = NVAL( IN )
 | 
						|
         LDA = MAX( N, 1 )
 | 
						|
         XTYPE = 'N'
 | 
						|
         NIMAT = NTYPES
 | 
						|
         IF( N.LE.0 )
 | 
						|
     $      NIMAT = 1
 | 
						|
*
 | 
						|
         DO 80 IMAT = 1, NIMAT
 | 
						|
*
 | 
						|
*           Do the tests only if DOTYPE( IMAT ) is true.
 | 
						|
*
 | 
						|
            IF( .NOT.DOTYPE( IMAT ) )
 | 
						|
     $         GO TO 80
 | 
						|
*
 | 
						|
*           Skip types 5, 6, or 7 if the matrix size is too small.
 | 
						|
*
 | 
						|
            ZEROT = IMAT.GE.5 .AND. IMAT.LE.7
 | 
						|
            IF( ZEROT .AND. N.LT.IMAT-4 )
 | 
						|
     $         GO TO 80
 | 
						|
*
 | 
						|
*           Set up parameters with DLATB4 and generate a test matrix
 | 
						|
*           with DLATMS.
 | 
						|
*
 | 
						|
            CALL DLATB4( PATH, IMAT, N, N, TYPE, KL, KU, ANORM, MODE,
 | 
						|
     $                   CNDNUM, DIST )
 | 
						|
            RCONDC = ONE / CNDNUM
 | 
						|
*
 | 
						|
            SRNAMT = 'DLATMS'
 | 
						|
            CALL DLATMS( N, N, DIST, ISEED, TYPE, RWORK, MODE, CNDNUM,
 | 
						|
     $                   ANORM, KL, KU, 'No packing', A, LDA, WORK,
 | 
						|
     $                   INFO )
 | 
						|
*
 | 
						|
*           Check error code from DLATMS.
 | 
						|
*
 | 
						|
            IF( INFO.NE.0 ) THEN
 | 
						|
               CALL ALAERH( PATH, 'DLATMS', INFO, 0, ' ', N, N, -1, -1,
 | 
						|
     $                      -1, IMAT, NFAIL, NERRS, NOUT )
 | 
						|
               GO TO 80
 | 
						|
            END IF
 | 
						|
*
 | 
						|
*           For types 5-7, zero one or more columns of the matrix to
 | 
						|
*           test that INFO is returned correctly.
 | 
						|
*
 | 
						|
            IF( ZEROT ) THEN
 | 
						|
               IF( IMAT.EQ.5 ) THEN
 | 
						|
                  IZERO = 1
 | 
						|
               ELSE IF( IMAT.EQ.6 ) THEN
 | 
						|
                  IZERO = N
 | 
						|
               ELSE
 | 
						|
                  IZERO = N / 2 + 1
 | 
						|
               END IF
 | 
						|
               IOFF = ( IZERO-1 )*LDA
 | 
						|
               IF( IMAT.LT.7 ) THEN
 | 
						|
                  DO 20 I = 1, N
 | 
						|
                     A( IOFF+I ) = ZERO
 | 
						|
   20             CONTINUE
 | 
						|
               ELSE
 | 
						|
                  CALL DLASET( 'Full', N, N-IZERO+1, ZERO, ZERO,
 | 
						|
     $                         A( IOFF+1 ), LDA )
 | 
						|
               END IF
 | 
						|
            ELSE
 | 
						|
               IZERO = 0
 | 
						|
            END IF
 | 
						|
*
 | 
						|
*           Save a copy of the matrix A in ASAV.
 | 
						|
*
 | 
						|
            CALL DLACPY( 'Full', N, N, A, LDA, ASAV, LDA )
 | 
						|
*
 | 
						|
            DO 70 IEQUED = 1, 4
 | 
						|
               EQUED = EQUEDS( IEQUED )
 | 
						|
               IF( IEQUED.EQ.1 ) THEN
 | 
						|
                  NFACT = 3
 | 
						|
               ELSE
 | 
						|
                  NFACT = 1
 | 
						|
               END IF
 | 
						|
*
 | 
						|
               DO 60 IFACT = 1, NFACT
 | 
						|
                  FACT = FACTS( IFACT )
 | 
						|
                  PREFAC = LSAME( FACT, 'F' )
 | 
						|
                  NOFACT = LSAME( FACT, 'N' )
 | 
						|
                  EQUIL = LSAME( FACT, 'E' )
 | 
						|
*
 | 
						|
                  IF( ZEROT ) THEN
 | 
						|
                     IF( PREFAC )
 | 
						|
     $                  GO TO 60
 | 
						|
                     RCONDO = ZERO
 | 
						|
                     RCONDI = ZERO
 | 
						|
*
 | 
						|
                  ELSE IF( .NOT.NOFACT ) THEN
 | 
						|
*
 | 
						|
*                    Compute the condition number for comparison with
 | 
						|
*                    the value returned by DGESVX (FACT = 'N' reuses
 | 
						|
*                    the condition number from the previous iteration
 | 
						|
*                    with FACT = 'F').
 | 
						|
*
 | 
						|
                     CALL DLACPY( 'Full', N, N, ASAV, LDA, AFAC, LDA )
 | 
						|
                     IF( EQUIL .OR. IEQUED.GT.1 ) THEN
 | 
						|
*
 | 
						|
*                       Compute row and column scale factors to
 | 
						|
*                       equilibrate the matrix A.
 | 
						|
*
 | 
						|
                        CALL DGEEQU( N, N, AFAC, LDA, S, S( N+1 ),
 | 
						|
     $                               ROWCND, COLCND, AMAX, INFO )
 | 
						|
                        IF( INFO.EQ.0 .AND. N.GT.0 ) THEN
 | 
						|
                           IF( LSAME( EQUED, 'R' ) ) THEN
 | 
						|
                              ROWCND = ZERO
 | 
						|
                              COLCND = ONE
 | 
						|
                           ELSE IF( LSAME( EQUED, 'C' ) ) THEN
 | 
						|
                              ROWCND = ONE
 | 
						|
                              COLCND = ZERO
 | 
						|
                           ELSE IF( LSAME( EQUED, 'B' ) ) THEN
 | 
						|
                              ROWCND = ZERO
 | 
						|
                              COLCND = ZERO
 | 
						|
                           END IF
 | 
						|
*
 | 
						|
*                          Equilibrate the matrix.
 | 
						|
*
 | 
						|
                           CALL DLAQGE( N, N, AFAC, LDA, S, S( N+1 ),
 | 
						|
     $                                  ROWCND, COLCND, AMAX, EQUED )
 | 
						|
                        END IF
 | 
						|
                     END IF
 | 
						|
*
 | 
						|
*                    Save the condition number of the non-equilibrated
 | 
						|
*                    system for use in DGET04.
 | 
						|
*
 | 
						|
                     IF( EQUIL ) THEN
 | 
						|
                        ROLDO = RCONDO
 | 
						|
                        ROLDI = RCONDI
 | 
						|
                     END IF
 | 
						|
*
 | 
						|
*                    Compute the 1-norm and infinity-norm of A.
 | 
						|
*
 | 
						|
                     ANORMO = DLANGE( '1', N, N, AFAC, LDA, RWORK )
 | 
						|
                     ANORMI = DLANGE( 'I', N, N, AFAC, LDA, RWORK )
 | 
						|
*
 | 
						|
*                    Factor the matrix A.
 | 
						|
*
 | 
						|
                     SRNAMT = 'DGETRF'
 | 
						|
                     CALL DGETRF( N, N, AFAC, LDA, IWORK, INFO )
 | 
						|
*
 | 
						|
*                    Form the inverse of A.
 | 
						|
*
 | 
						|
                     CALL DLACPY( 'Full', N, N, AFAC, LDA, A, LDA )
 | 
						|
                     LWORK = NMAX*MAX( 3, NRHS )
 | 
						|
                     SRNAMT = 'DGETRI'
 | 
						|
                     CALL DGETRI( N, A, LDA, IWORK, WORK, LWORK, INFO )
 | 
						|
*
 | 
						|
*                    Compute the 1-norm condition number of A.
 | 
						|
*
 | 
						|
                     AINVNM = DLANGE( '1', N, N, A, LDA, RWORK )
 | 
						|
                     IF( ANORMO.LE.ZERO .OR. AINVNM.LE.ZERO ) THEN
 | 
						|
                        RCONDO = ONE
 | 
						|
                     ELSE
 | 
						|
                        RCONDO = ( ONE / ANORMO ) / AINVNM
 | 
						|
                     END IF
 | 
						|
*
 | 
						|
*                    Compute the infinity-norm condition number of A.
 | 
						|
*
 | 
						|
                     AINVNM = DLANGE( 'I', N, N, A, LDA, RWORK )
 | 
						|
                     IF( ANORMI.LE.ZERO .OR. AINVNM.LE.ZERO ) THEN
 | 
						|
                        RCONDI = ONE
 | 
						|
                     ELSE
 | 
						|
                        RCONDI = ( ONE / ANORMI ) / AINVNM
 | 
						|
                     END IF
 | 
						|
                  END IF
 | 
						|
*
 | 
						|
                  DO 50 ITRAN = 1, NTRAN
 | 
						|
*
 | 
						|
*                    Do for each value of TRANS.
 | 
						|
*
 | 
						|
                     TRANS = TRANSS( ITRAN )
 | 
						|
                     IF( ITRAN.EQ.1 ) THEN
 | 
						|
                        RCONDC = RCONDO
 | 
						|
                     ELSE
 | 
						|
                        RCONDC = RCONDI
 | 
						|
                     END IF
 | 
						|
*
 | 
						|
*                    Restore the matrix A.
 | 
						|
*
 | 
						|
                     CALL DLACPY( 'Full', N, N, ASAV, LDA, A, LDA )
 | 
						|
*
 | 
						|
*                    Form an exact solution and set the right hand side.
 | 
						|
*
 | 
						|
                     SRNAMT = 'DLARHS'
 | 
						|
                     CALL DLARHS( PATH, XTYPE, 'Full', TRANS, N, N, KL,
 | 
						|
     $                            KU, NRHS, A, LDA, XACT, LDA, B, LDA,
 | 
						|
     $                            ISEED, INFO )
 | 
						|
                     XTYPE = 'C'
 | 
						|
                     CALL DLACPY( 'Full', N, NRHS, B, LDA, BSAV, LDA )
 | 
						|
*
 | 
						|
                     IF( NOFACT .AND. ITRAN.EQ.1 ) THEN
 | 
						|
*
 | 
						|
*                       --- Test DGESV  ---
 | 
						|
*
 | 
						|
*                       Compute the LU factorization of the matrix and
 | 
						|
*                       solve the system.
 | 
						|
*
 | 
						|
                        CALL DLACPY( 'Full', N, N, A, LDA, AFAC, LDA )
 | 
						|
                        CALL DLACPY( 'Full', N, NRHS, B, LDA, X, LDA )
 | 
						|
*
 | 
						|
                        SRNAMT = 'DGESV '
 | 
						|
                        CALL DGESV( N, NRHS, AFAC, LDA, IWORK, X, LDA,
 | 
						|
     $                              INFO )
 | 
						|
*
 | 
						|
*                       Check error code from DGESV .
 | 
						|
*
 | 
						|
                        IF( INFO.NE.IZERO )
 | 
						|
     $                     CALL ALAERH( PATH, 'DGESV ', INFO, IZERO,
 | 
						|
     $                                  ' ', N, N, -1, -1, NRHS, IMAT,
 | 
						|
     $                                  NFAIL, NERRS, NOUT )
 | 
						|
*
 | 
						|
*                       Reconstruct matrix from factors and compute
 | 
						|
*                       residual.
 | 
						|
*
 | 
						|
                        CALL DGET01( N, N, A, LDA, AFAC, LDA, IWORK,
 | 
						|
     $                               RWORK, RESULT( 1 ) )
 | 
						|
                        NT = 1
 | 
						|
                        IF( IZERO.EQ.0 ) THEN
 | 
						|
*
 | 
						|
*                          Compute residual of the computed solution.
 | 
						|
*
 | 
						|
                           CALL DLACPY( 'Full', N, NRHS, B, LDA, WORK,
 | 
						|
     $                                  LDA )
 | 
						|
                           CALL DGET02( 'No transpose', N, N, NRHS, A,
 | 
						|
     $                                  LDA, X, LDA, WORK, LDA, RWORK,
 | 
						|
     $                                  RESULT( 2 ) )
 | 
						|
*
 | 
						|
*                          Check solution from generated exact solution.
 | 
						|
*
 | 
						|
                           CALL DGET04( N, NRHS, X, LDA, XACT, LDA,
 | 
						|
     $                                  RCONDC, RESULT( 3 ) )
 | 
						|
                           NT = 3
 | 
						|
                        END IF
 | 
						|
*
 | 
						|
*                       Print information about the tests that did not
 | 
						|
*                       pass the threshold.
 | 
						|
*
 | 
						|
                        DO 30 K = 1, NT
 | 
						|
                           IF( RESULT( K ).GE.THRESH ) THEN
 | 
						|
                              IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
 | 
						|
     $                           CALL ALADHD( NOUT, PATH )
 | 
						|
                              WRITE( NOUT, FMT = 9999 )'DGESV ', N,
 | 
						|
     $                           IMAT, K, RESULT( K )
 | 
						|
                              NFAIL = NFAIL + 1
 | 
						|
                           END IF
 | 
						|
   30                   CONTINUE
 | 
						|
                        NRUN = NRUN + NT
 | 
						|
                     END IF
 | 
						|
*
 | 
						|
*                    --- Test DGESVX ---
 | 
						|
*
 | 
						|
                     IF( .NOT.PREFAC )
 | 
						|
     $                  CALL DLASET( 'Full', N, N, ZERO, ZERO, AFAC,
 | 
						|
     $                               LDA )
 | 
						|
                     CALL DLASET( 'Full', N, NRHS, ZERO, ZERO, X, LDA )
 | 
						|
                     IF( IEQUED.GT.1 .AND. N.GT.0 ) THEN
 | 
						|
*
 | 
						|
*                       Equilibrate the matrix if FACT = 'F' and
 | 
						|
*                       EQUED = 'R', 'C', or 'B'.
 | 
						|
*
 | 
						|
                        CALL DLAQGE( N, N, A, LDA, S, S( N+1 ), ROWCND,
 | 
						|
     $                               COLCND, AMAX, EQUED )
 | 
						|
                     END IF
 | 
						|
*
 | 
						|
*                    Solve the system and compute the condition number
 | 
						|
*                    and error bounds using DGESVX.
 | 
						|
*
 | 
						|
                     SRNAMT = 'DGESVX'
 | 
						|
                     CALL DGESVX( FACT, TRANS, N, NRHS, A, LDA, AFAC,
 | 
						|
     $                            LDA, IWORK, EQUED, S, S( N+1 ), B,
 | 
						|
     $                            LDA, X, LDA, RCOND, RWORK,
 | 
						|
     $                            RWORK( NRHS+1 ), WORK, IWORK( N+1 ),
 | 
						|
     $                            INFO )
 | 
						|
*
 | 
						|
*                    Check the error code from DGESVX.
 | 
						|
*
 | 
						|
                     IF( INFO.NE.IZERO )
 | 
						|
     $                  CALL ALAERH( PATH, 'DGESVX', INFO, IZERO,
 | 
						|
     $                               FACT // TRANS, N, N, -1, -1, NRHS,
 | 
						|
     $                               IMAT, NFAIL, NERRS, NOUT )
 | 
						|
*
 | 
						|
*                    Compare WORK(1) from DGESVX with the computed
 | 
						|
*                    reciprocal pivot growth factor RPVGRW
 | 
						|
*
 | 
						|
                     IF( INFO.NE.0 .AND. INFO.LE.N) THEN
 | 
						|
                        RPVGRW = DLANTR( 'M', 'U', 'N', INFO, INFO,
 | 
						|
     $                           AFAC, LDA, WORK )
 | 
						|
                        IF( RPVGRW.EQ.ZERO ) THEN
 | 
						|
                           RPVGRW = ONE
 | 
						|
                        ELSE
 | 
						|
                           RPVGRW = DLANGE( 'M', N, INFO, A, LDA,
 | 
						|
     $                              WORK ) / RPVGRW
 | 
						|
                        END IF
 | 
						|
                     ELSE
 | 
						|
                        RPVGRW = DLANTR( 'M', 'U', 'N', N, N, AFAC, LDA,
 | 
						|
     $                           WORK )
 | 
						|
                        IF( RPVGRW.EQ.ZERO ) THEN
 | 
						|
                           RPVGRW = ONE
 | 
						|
                        ELSE
 | 
						|
                           RPVGRW = DLANGE( 'M', N, N, A, LDA, WORK ) /
 | 
						|
     $                              RPVGRW
 | 
						|
                        END IF
 | 
						|
                     END IF
 | 
						|
                     RESULT( 7 ) = ABS( RPVGRW-WORK( 1 ) ) /
 | 
						|
     $                             MAX( WORK( 1 ), RPVGRW ) /
 | 
						|
     $                             DLAMCH( 'E' )
 | 
						|
*
 | 
						|
                     IF( .NOT.PREFAC ) THEN
 | 
						|
*
 | 
						|
*                       Reconstruct matrix from factors and compute
 | 
						|
*                       residual.
 | 
						|
*
 | 
						|
                        CALL DGET01( N, N, A, LDA, AFAC, LDA, IWORK,
 | 
						|
     $                               RWORK( 2*NRHS+1 ), RESULT( 1 ) )
 | 
						|
                        K1 = 1
 | 
						|
                     ELSE
 | 
						|
                        K1 = 2
 | 
						|
                     END IF
 | 
						|
*
 | 
						|
                     IF( INFO.EQ.0 ) THEN
 | 
						|
                        TRFCON = .FALSE.
 | 
						|
*
 | 
						|
*                       Compute residual of the computed solution.
 | 
						|
*
 | 
						|
                        CALL DLACPY( 'Full', N, NRHS, BSAV, LDA, WORK,
 | 
						|
     $                               LDA )
 | 
						|
                        CALL DGET02( TRANS, N, N, NRHS, ASAV, LDA, X,
 | 
						|
     $                               LDA, WORK, LDA, RWORK( 2*NRHS+1 ),
 | 
						|
     $                               RESULT( 2 ) )
 | 
						|
*
 | 
						|
*                       Check solution from generated exact solution.
 | 
						|
*
 | 
						|
                        IF( NOFACT .OR. ( PREFAC .AND. LSAME( EQUED,
 | 
						|
     $                      'N' ) ) ) THEN
 | 
						|
                           CALL DGET04( N, NRHS, X, LDA, XACT, LDA,
 | 
						|
     $                                  RCONDC, RESULT( 3 ) )
 | 
						|
                        ELSE
 | 
						|
                           IF( ITRAN.EQ.1 ) THEN
 | 
						|
                              ROLDC = ROLDO
 | 
						|
                           ELSE
 | 
						|
                              ROLDC = ROLDI
 | 
						|
                           END IF
 | 
						|
                           CALL DGET04( N, NRHS, X, LDA, XACT, LDA,
 | 
						|
     $                                  ROLDC, RESULT( 3 ) )
 | 
						|
                        END IF
 | 
						|
*
 | 
						|
*                       Check the error bounds from iterative
 | 
						|
*                       refinement.
 | 
						|
*
 | 
						|
                        CALL DGET07( TRANS, N, NRHS, ASAV, LDA, B, LDA,
 | 
						|
     $                               X, LDA, XACT, LDA, RWORK, .TRUE.,
 | 
						|
     $                               RWORK( NRHS+1 ), RESULT( 4 ) )
 | 
						|
                     ELSE
 | 
						|
                        TRFCON = .TRUE.
 | 
						|
                     END IF
 | 
						|
*
 | 
						|
*                    Compare RCOND from DGESVX with the computed value
 | 
						|
*                    in RCONDC.
 | 
						|
*
 | 
						|
                     RESULT( 6 ) = DGET06( RCOND, RCONDC )
 | 
						|
*
 | 
						|
*                    Print information about the tests that did not pass
 | 
						|
*                    the threshold.
 | 
						|
*
 | 
						|
                     IF( .NOT.TRFCON ) THEN
 | 
						|
                        DO 40 K = K1, NTESTS
 | 
						|
                           IF( RESULT( K ).GE.THRESH ) THEN
 | 
						|
                              IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
 | 
						|
     $                           CALL ALADHD( NOUT, PATH )
 | 
						|
                              IF( PREFAC ) THEN
 | 
						|
                                 WRITE( NOUT, FMT = 9997 )'DGESVX',
 | 
						|
     $                              FACT, TRANS, N, EQUED, IMAT, K,
 | 
						|
     $                              RESULT( K )
 | 
						|
                              ELSE
 | 
						|
                                 WRITE( NOUT, FMT = 9998 )'DGESVX',
 | 
						|
     $                              FACT, TRANS, N, IMAT, K, RESULT( K )
 | 
						|
                              END IF
 | 
						|
                              NFAIL = NFAIL + 1
 | 
						|
                           END IF
 | 
						|
   40                   CONTINUE
 | 
						|
                        NRUN = NRUN + NTESTS - K1 + 1
 | 
						|
                     ELSE
 | 
						|
                        IF( RESULT( 1 ).GE.THRESH .AND. .NOT.PREFAC )
 | 
						|
     $                       THEN
 | 
						|
                           IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
 | 
						|
     $                        CALL ALADHD( NOUT, PATH )
 | 
						|
                           IF( PREFAC ) THEN
 | 
						|
                              WRITE( NOUT, FMT = 9997 )'DGESVX', FACT,
 | 
						|
     $                           TRANS, N, EQUED, IMAT, 1, RESULT( 1 )
 | 
						|
                           ELSE
 | 
						|
                              WRITE( NOUT, FMT = 9998 )'DGESVX', FACT,
 | 
						|
     $                           TRANS, N, IMAT, 1, RESULT( 1 )
 | 
						|
                           END IF
 | 
						|
                           NFAIL = NFAIL + 1
 | 
						|
                           NRUN = NRUN + 1
 | 
						|
                        END IF
 | 
						|
                        IF( RESULT( 6 ).GE.THRESH ) THEN
 | 
						|
                           IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
 | 
						|
     $                        CALL ALADHD( NOUT, PATH )
 | 
						|
                           IF( PREFAC ) THEN
 | 
						|
                              WRITE( NOUT, FMT = 9997 )'DGESVX', FACT,
 | 
						|
     $                           TRANS, N, EQUED, IMAT, 6, RESULT( 6 )
 | 
						|
                           ELSE
 | 
						|
                              WRITE( NOUT, FMT = 9998 )'DGESVX', FACT,
 | 
						|
     $                           TRANS, N, IMAT, 6, RESULT( 6 )
 | 
						|
                           END IF
 | 
						|
                           NFAIL = NFAIL + 1
 | 
						|
                           NRUN = NRUN + 1
 | 
						|
                        END IF
 | 
						|
                        IF( RESULT( 7 ).GE.THRESH ) THEN
 | 
						|
                           IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
 | 
						|
     $                        CALL ALADHD( NOUT, PATH )
 | 
						|
                           IF( PREFAC ) THEN
 | 
						|
                              WRITE( NOUT, FMT = 9997 )'DGESVX', FACT,
 | 
						|
     $                           TRANS, N, EQUED, IMAT, 7, RESULT( 7 )
 | 
						|
                           ELSE
 | 
						|
                              WRITE( NOUT, FMT = 9998 )'DGESVX', FACT,
 | 
						|
     $                           TRANS, N, IMAT, 7, RESULT( 7 )
 | 
						|
                           END IF
 | 
						|
                           NFAIL = NFAIL + 1
 | 
						|
                           NRUN = NRUN + 1
 | 
						|
                        END IF
 | 
						|
*
 | 
						|
                     END IF
 | 
						|
*
 | 
						|
   50             CONTINUE
 | 
						|
   60          CONTINUE
 | 
						|
   70       CONTINUE
 | 
						|
   80    CONTINUE
 | 
						|
   90 CONTINUE
 | 
						|
*
 | 
						|
*     Print a summary of the results.
 | 
						|
*
 | 
						|
      CALL ALASVM( PATH, NOUT, NFAIL, NRUN, NERRS )
 | 
						|
*
 | 
						|
 9999 FORMAT( 1X, A, ', N =', I5, ', type ', I2, ', test(', I2, ') =',
 | 
						|
     $      G12.5 )
 | 
						|
 9998 FORMAT( 1X, A, ', FACT=''', A1, ''', TRANS=''', A1, ''', N=', I5,
 | 
						|
     $      ', type ', I2, ', test(', I1, ')=', G12.5 )
 | 
						|
 9997 FORMAT( 1X, A, ', FACT=''', A1, ''', TRANS=''', A1, ''', N=', I5,
 | 
						|
     $      ', EQUED=''', A1, ''', type ', I2, ', test(', I1, ')=',
 | 
						|
     $      G12.5 )
 | 
						|
      RETURN
 | 
						|
*
 | 
						|
*     End of DDRVGE
 | 
						|
*
 | 
						|
      END
 |