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SUBROUTINE DCHKTP( DOTYPE, NN, NVAL, NNS, NSVAL, THRESH, TSTERR,
$ NMAX, AP, AINVP, B, X, XACT, WORK, RWORK,
$ IWORK, NOUT )
*
* -- LAPACK test routine (version 3.0) --
* Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd.,
* Courant Institute, Argonne National Lab, and Rice University
* June 30, 1999
*
* .. Scalar Arguments ..
LOGICAL TSTERR
INTEGER NMAX, NN, NNS, NOUT
DOUBLE PRECISION THRESH
* ..
* .. Array Arguments ..
LOGICAL DOTYPE( * )
INTEGER IWORK( * ), NSVAL( * ), NVAL( * )
DOUBLE PRECISION AINVP( * ), AP( * ), B( * ), RWORK( * ),
$ WORK( * ), X( * ), XACT( * )
* ..
*
* Purpose
* =======
*
* DCHKTP tests DTPTRI, -TRS, -RFS, and -CON, and DLATPS
*
* 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.
*
* 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) 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.
*
* NMAX (input) INTEGER
* The leading dimension of the work arrays. NMAX >= the
* maximumm value of N in NVAL.
*
* AP (workspace) DOUBLE PRECISION array, dimension
* (NMAX*(NMAX+1)/2)
*
* AINVP (workspace) DOUBLE PRECISION array, dimension
* (NMAX*(NMAX+1)/2)
*
* B (workspace) DOUBLE PRECISION array, dimension (NMAX*NSMAX)
* where NSMAX is the largest entry in NSVAL.
*
* X (workspace) DOUBLE PRECISION array, dimension (NMAX*NSMAX)
*
* XACT (workspace) DOUBLE PRECISION array, dimension (NMAX*NSMAX)
*
* WORK (workspace) DOUBLE PRECISION array, dimension
* (NMAX*max(3,NSMAX))
*
* IWORK (workspace) INTEGER array, dimension (NMAX)
*
* RWORK (workspace) DOUBLE PRECISION array, dimension
* (max(NMAX,2*NSMAX))
*
* 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 )
DOUBLE PRECISION ONE, ZERO
PARAMETER ( ONE = 1.0D+0, ZERO = 0.0D+0 )
* ..
* .. Local Scalars ..
CHARACTER DIAG, NORM, TRANS, UPLO, XTYPE
CHARACTER*3 PATH
INTEGER I, IDIAG, IMAT, IN, INFO, IRHS, ITRAN, IUPLO,
$ K, LAP, LDA, N, NERRS, NFAIL, NRHS, NRUN
DOUBLE PRECISION AINVNM, ANORM, RCOND, RCONDC, RCONDI, RCONDO,
$ SCALE
* ..
* .. Local Arrays ..
CHARACTER TRANSS( NTRAN ), UPLOS( 2 )
INTEGER ISEED( 4 ), ISEEDY( 4 )
DOUBLE PRECISION RESULT( NTESTS )
* ..
* .. External Functions ..
LOGICAL LSAME
DOUBLE PRECISION DLANTP
EXTERNAL LSAME, DLANTP
* ..
* .. External Subroutines ..
EXTERNAL ALAERH, ALAHD, ALASUM, DCOPY, DERRTR, DGET04,
$ DLACPY, DLARHS, DLATPS, DLATTP, DTPCON, DTPRFS,
$ DTPT01, DTPT02, DTPT03, DTPT05, DTPT06, DTPTRI,
$ DTPTRS
* ..
* .. 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 ) = 'Double precision'
PATH( 2: 3 ) = 'TP'
NRUN = 0
NFAIL = 0
NERRS = 0
DO 10 I = 1, 4
ISEED( I ) = ISEEDY( I )
10 CONTINUE
*
* Test the error exits
*
IF( TSTERR )
$ CALL DERRTR( PATH, NOUT )
INFOT = 0
*
DO 110 IN = 1, NN
*
* Do for each value of N in NVAL
*
N = NVAL( IN )
LDA = MAX( 1, N )
LAP = LDA*( LDA+1 ) / 2
XTYPE = 'N'
*
DO 70 IMAT = 1, NTYPE1
*
* Do the tests only if DOTYPE( IMAT ) is true.
*
IF( .NOT.DOTYPE( IMAT ) )
$ GO TO 70
*
DO 60 IUPLO = 1, 2
*
* Do first for UPLO = 'U', then for UPLO = 'L'
*
UPLO = UPLOS( IUPLO )
*
* Call DLATTP to generate a triangular test matrix.
*
SRNAMT = 'DLATTP'
CALL DLATTP( IMAT, UPLO, 'No transpose', DIAG, ISEED, N,
$ AP, 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
*
*+ TEST 1
* Form the inverse of A.
*
IF( N.GT.0 )
$ CALL DCOPY( LAP, AP, 1, AINVP, 1 )
SRNAMT = 'DTPTRI'
CALL DTPTRI( UPLO, DIAG, N, AINVP, INFO )
*
* Check error code from DTPTRI.
*
IF( INFO.NE.0 )
$ CALL ALAERH( PATH, 'DTPTRI', INFO, 0, UPLO // DIAG, N,
$ N, -1, -1, -1, IMAT, NFAIL, NERRS, NOUT )
*
* Compute the infinity-norm condition number of A.
*
ANORM = DLANTP( 'I', UPLO, DIAG, N, AP, RWORK )
AINVNM = DLANTP( 'I', UPLO, DIAG, N, AINVP, 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 DTPT01( UPLO, DIAG, N, AP, AINVP, 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, N, IMAT, 1,
$ RESULT( 1 )
NFAIL = NFAIL + 1
END IF
NRUN = NRUN + 1
*
DO 40 IRHS = 1, NNS
NRHS = NSVAL( IRHS )
XTYPE = 'N'
*
DO 30 ITRAN = 1, NTRAN
*
* Do for op(A) = A, A**T, or A**H.
*
TRANS = TRANSS( ITRAN )
IF( ITRAN.EQ.1 ) THEN
NORM = 'O'
RCONDC = RCONDO
ELSE
NORM = 'I'
RCONDC = RCONDI
END IF
*
*+ TEST 2
* Solve and compute residual for op(A)*x = b.
*
SRNAMT = 'DLARHS'
CALL DLARHS( PATH, XTYPE, UPLO, TRANS, N, N, 0,
$ IDIAG, NRHS, AP, LAP, XACT, LDA, B,
$ LDA, ISEED, INFO )
XTYPE = 'C'
CALL DLACPY( 'Full', N, NRHS, B, LDA, X, LDA )
*
SRNAMT = 'DTPTRS'
CALL DTPTRS( UPLO, TRANS, DIAG, N, NRHS, AP, X,
$ LDA, INFO )
*
* Check error code from DTPTRS.
*
IF( INFO.NE.0 )
$ CALL ALAERH( PATH, 'DTPTRS', INFO, 0,
$ UPLO // TRANS // DIAG, N, N, -1,
$ -1, -1, IMAT, NFAIL, NERRS, NOUT )
*
CALL DTPT02( UPLO, TRANS, DIAG, N, NRHS, AP, X,
$ LDA, B, LDA, WORK, RESULT( 2 ) )
*
*+ TEST 3
* Check solution from generated exact solution.
*
CALL DGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC,
$ RESULT( 3 ) )
*
*+ TESTS 4, 5, and 6
* Use iterative refinement to improve the solution and
* compute error bounds.
*
SRNAMT = 'DTPRFS'
CALL DTPRFS( UPLO, TRANS, DIAG, N, NRHS, AP, B,
$ LDA, X, LDA, RWORK, RWORK( NRHS+1 ),
$ WORK, IWORK, INFO )
*
* Check error code from DTPRFS.
*
IF( INFO.NE.0 )
$ CALL ALAERH( PATH, 'DTPRFS', INFO, 0,
$ UPLO // TRANS // DIAG, N, N, -1,
$ -1, NRHS, IMAT, NFAIL, NERRS,
$ NOUT )
*
CALL DGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC,
$ RESULT( 4 ) )
CALL DTPT05( UPLO, TRANS, DIAG, N, NRHS, AP, B,
$ LDA, X, LDA, XACT, LDA, RWORK,
$ RWORK( NRHS+1 ), RESULT( 5 ) )
*
* Print information about the tests that did not pass
* the threshold.
*
DO 20 K = 2, 6
IF( RESULT( K ).GE.THRESH ) THEN
IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
$ CALL ALAHD( NOUT, PATH )
WRITE( NOUT, FMT = 9998 )UPLO, TRANS, N,
$ NRHS, IMAT, K, RESULT( K )
NFAIL = NFAIL + 1
END IF
20 CONTINUE
NRUN = NRUN + 5
30 CONTINUE
40 CONTINUE
*
*+ TEST 7
* Get an estimate of RCOND = 1/CNDNUM.
*
DO 50 ITRAN = 1, 2
IF( ITRAN.EQ.1 ) THEN
NORM = 'O'
RCONDC = RCONDO
ELSE
NORM = 'I'
RCONDC = RCONDI
END IF
*
SRNAMT = 'DTPCON'
CALL DTPCON( NORM, UPLO, DIAG, N, AP, RCOND, WORK,
$ IWORK, INFO )
*
* Check error code from DTPCON.
*
IF( INFO.NE.0 )
$ CALL ALAERH( PATH, 'DTPCON', INFO, 0,
$ NORM // UPLO // DIAG, N, N, -1, -1,
$ -1, IMAT, NFAIL, NERRS, NOUT )
*
CALL DTPT06( RCOND, RCONDC, UPLO, DIAG, N, AP, RWORK,
$ RESULT( 7 ) )
*
* Print the test ratio if it is .GE. THRESH.
*
IF( RESULT( 7 ).GE.THRESH ) THEN
IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
$ CALL ALAHD( NOUT, PATH )
WRITE( NOUT, FMT = 9997 )NORM, UPLO, N, IMAT, 7,
$ RESULT( 7 )
NFAIL = NFAIL + 1
END IF
NRUN = NRUN + 1
50 CONTINUE
60 CONTINUE
70 CONTINUE
*
* Use pathological test matrices to test DLATPS.
*
DO 100 IMAT = NTYPE1 + 1, NTYPES
*
* Do the tests only if DOTYPE( IMAT ) is true.
*
IF( .NOT.DOTYPE( IMAT ) )
$ GO TO 100
*
DO 90 IUPLO = 1, 2
*
* Do first for UPLO = 'U', then for UPLO = 'L'
*
UPLO = UPLOS( IUPLO )
DO 80 ITRAN = 1, NTRAN
*
* Do for op(A) = A, A**T, or A**H.
*
TRANS = TRANSS( ITRAN )
*
* Call DLATTP to generate a triangular test matrix.
*
SRNAMT = 'DLATTP'
CALL DLATTP( IMAT, UPLO, TRANS, DIAG, ISEED, N, AP, X,
$ WORK, INFO )
*
*+ TEST 8
* Solve the system op(A)*x = b.
*
SRNAMT = 'DLATPS'
CALL DCOPY( N, X, 1, B, 1 )
CALL DLATPS( UPLO, TRANS, DIAG, 'N', N, AP, B, SCALE,
$ RWORK, INFO )
*
* Check error code from DLATPS.
*
IF( INFO.NE.0 )
$ CALL ALAERH( PATH, 'DLATPS', INFO, 0,
$ UPLO // TRANS // DIAG // 'N', N, N,
$ -1, -1, -1, IMAT, NFAIL, NERRS, NOUT )
*
CALL DTPT03( UPLO, TRANS, DIAG, N, 1, AP, SCALE,
$ RWORK, ONE, B, LDA, X, LDA, WORK,
$ RESULT( 8 ) )
*
*+ TEST 9
* Solve op(A)*x = b again with NORMIN = 'Y'.
*
CALL DCOPY( N, X, 1, B( N+1 ), 1 )
CALL DLATPS( UPLO, TRANS, DIAG, 'Y', N, AP, B( N+1 ),
$ SCALE, RWORK, INFO )
*
* Check error code from DLATPS.
*
IF( INFO.NE.0 )
$ CALL ALAERH( PATH, 'DLATPS', INFO, 0,
$ UPLO // TRANS // DIAG // 'Y', N, N,
$ -1, -1, -1, IMAT, NFAIL, NERRS, NOUT )
*
CALL DTPT03( UPLO, TRANS, DIAG, N, 1, AP, SCALE,
$ RWORK, ONE, B( N+1 ), LDA, X, LDA, WORK,
$ RESULT( 9 ) )
*
* Print information about the tests that did not pass
* the threshold.
*
IF( RESULT( 8 ).GE.THRESH ) THEN
IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
$ CALL ALAHD( NOUT, PATH )
WRITE( NOUT, FMT = 9996 )'DLATPS', UPLO, TRANS,
$ DIAG, 'N', N, IMAT, 8, RESULT( 8 )
NFAIL = NFAIL + 1
END IF
IF( RESULT( 9 ).GE.THRESH ) THEN
IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
$ CALL ALAHD( NOUT, PATH )
WRITE( NOUT, FMT = 9996 )'DLATPS', UPLO, TRANS,
$ DIAG, 'Y', N, IMAT, 9, RESULT( 9 )
NFAIL = NFAIL + 1
END IF
NRUN = NRUN + 2
80 CONTINUE
90 CONTINUE
100 CONTINUE
110 CONTINUE
*
* Print a summary of the results.
*
CALL ALASUM( PATH, NOUT, NFAIL, NRUN, NERRS )
*
9999 FORMAT( ' UPLO=''', A1, ''', TRANS=''', A1, ''', N=', I5,
$ ', type ', I2, ', test(', I2, ')= ', G12.5 )
9998 FORMAT( 1X, A6, '( ''', A1, ''', ''', A1, ''', ''', A1, ''', ''',
$ A1, ''',', I5, ', ... ), type ', I2, ', ratio =', G12.5 )
9997 FORMAT( ' NORM=''', A1, ''', UPLO =''', A1, ''', N=', I5, ',',
$ 11X, ' type ', I2, ', test(', I2, ')=', G12.5 )
9996 FORMAT( 1X, A6, '( ''', A1, ''', ''', A1, ''', ''', A1, ''', ''',
$ A1, ''',', I5, ', ... ), type ', I2, ', test(', I2, ')=',
$ G12.5 )
RETURN
*
* End of DCHKTP
*
END
|
