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SUBROUTINE CCHKGE( DOTYPE, NM, MVAL, NN, NVAL, NNB, NBVAL, NNS,
$ NSVAL, THRESH, TSTERR, NMAX, A, AFAC, AINV, 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 NM, NMAX, NN, NNB, NNS, NOUT
REAL THRESH
* ..
* .. Array Arguments ..
LOGICAL DOTYPE( * )
INTEGER IWORK( * ), MVAL( * ), NBVAL( * ), NSVAL( * ),
$ NVAL( * )
REAL RWORK( * )
COMPLEX A( * ), AFAC( * ), AINV( * ), B( * ),
$ WORK( * ), X( * ), XACT( * )
* ..
*
* Purpose
* =======
*
* CCHKGE tests CGETRF, -TRI, -TRS, -RFS, and -CON.
*
* 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.
*
* NM (input) INTEGER
* The number of values of M contained in the vector MVAL.
*
* MVAL (input) INTEGER array, dimension (NM)
* The values of the matrix row dimension M.
*
* 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 (NBVAL)
* 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.
*
* 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.
*
* NMAX (input) INTEGER
* The maximum value permitted for M or N, used in dimensioning
* the work arrays.
*
* A (workspace) COMPLEX array, dimension (NMAX*NMAX)
*
* AFAC (workspace) COMPLEX array, dimension (NMAX*NMAX)
*
* AINV (workspace) COMPLEX array, dimension (NMAX*NMAX)
*
* B (workspace) COMPLEX array, dimension (NMAX*NSMAX)
* where NSMAX is the largest entry in NSVAL.
*
* X (workspace) COMPLEX array, dimension (NMAX*NSMAX)
*
* XACT (workspace) COMPLEX array, dimension (NMAX*NSMAX)
*
* WORK (workspace) COMPLEX array, dimension
* (NMAX*max(3,NSMAX))
*
* RWORK (workspace) REAL array, dimension
* (max(2*NMAX,2*NSMAX+NWORK))
*
* IWORK (workspace) INTEGER array, dimension (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 = 11 )
INTEGER NTESTS
PARAMETER ( NTESTS = 8 )
INTEGER NTRAN
PARAMETER ( NTRAN = 3 )
* ..
* .. Local Scalars ..
LOGICAL TRFCON, ZEROT
CHARACTER DIST, NORM, TRANS, TYPE, XTYPE
CHARACTER*3 PATH
INTEGER I, IM, IMAT, IN, INB, INFO, IOFF, IRHS, ITRAN,
$ IZERO, K, KL, KU, LDA, LWORK, M, MODE, N, NB,
$ NERRS, NFAIL, NIMAT, NRHS, NRUN, NT
REAL AINVNM, ANORM, ANORMI, ANORMO, CNDNUM, DUMMY,
$ RCOND, RCONDC, RCONDI, RCONDO
* ..
* .. Local Arrays ..
CHARACTER TRANSS( NTRAN )
INTEGER ISEED( 4 ), ISEEDY( 4 )
REAL RESULT( NTESTS )
* ..
* .. External Functions ..
REAL CLANGE, SGET06
EXTERNAL CLANGE, SGET06
* ..
* .. External Subroutines ..
EXTERNAL ALAERH, ALAHD, ALASUM, CERRGE, CGECON, CGERFS,
$ CGET01, CGET02, CGET03, CGET04, CGET07, CGETRF,
$ CGETRI, CGETRS, CLACPY, CLARHS, CLASET, CLATB4,
$ CLATMS, XLAENV
* ..
* .. Intrinsic Functions ..
INTRINSIC CMPLX, 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 / ,
$ TRANSS / 'N', 'T', 'C' /
* ..
* .. Executable Statements ..
*
* Initialize constants and the random number seed.
*
PATH( 1: 1 ) = 'Complex 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 CERRGE( PATH, NOUT )
INFOT = 0
CALL XLAENV( 2, 2 )
*
* Do for each value of M in MVAL
*
DO 120 IM = 1, NM
M = MVAL( IM )
LDA = MAX( 1, M )
*
* Do for each value of N in NVAL
*
DO 110 IN = 1, NN
N = NVAL( IN )
XTYPE = 'N'
NIMAT = NTYPES
IF( M.LE.0 .OR. N.LE.0 )
$ NIMAT = 1
*
DO 100 IMAT = 1, NIMAT
*
* Do the tests only if DOTYPE( IMAT ) is true.
*
IF( .NOT.DOTYPE( IMAT ) )
$ GO TO 100
*
* 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 100
*
* Set up parameters with CLATB4 and generate a test matrix
* with CLATMS.
*
CALL CLATB4( PATH, IMAT, M, N, TYPE, KL, KU, ANORM, MODE,
$ CNDNUM, DIST )
*
SRNAMT = 'CLATMS'
CALL CLATMS( M, N, DIST, ISEED, TYPE, RWORK, MODE,
$ CNDNUM, ANORM, KL, KU, 'No packing', A, LDA,
$ WORK, INFO )
*
* Check error code from CLATMS.
*
IF( INFO.NE.0 ) THEN
CALL ALAERH( PATH, 'CLATMS', INFO, 0, ' ', M, N, -1,
$ -1, -1, IMAT, NFAIL, NERRS, NOUT )
GO TO 100
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 = MIN( M, N )
ELSE
IZERO = MIN( M, N ) / 2 + 1
END IF
IOFF = ( IZERO-1 )*LDA
IF( IMAT.LT.7 ) THEN
DO 20 I = 1, M
A( IOFF+I ) = ZERO
20 CONTINUE
ELSE
CALL CLASET( 'Full', M, N-IZERO+1, CMPLX( ZERO ),
$ CMPLX( ZERO ), A( IOFF+1 ), LDA )
END IF
ELSE
IZERO = 0
END IF
*
* These lines, if used in place of the calls in the DO 60
* loop, cause the code to bomb on a Sun SPARCstation.
*
* ANORMO = CLANGE( 'O', M, N, A, LDA, RWORK )
* ANORMI = CLANGE( 'I', M, N, A, LDA, RWORK )
*
* Do for each blocksize in NBVAL
*
DO 90 INB = 1, NNB
NB = NBVAL( INB )
CALL XLAENV( 1, NB )
*
* Compute the LU factorization of the matrix.
*
CALL CLACPY( 'Full', M, N, A, LDA, AFAC, LDA )
SRNAMT = 'CGETRF'
CALL CGETRF( M, N, AFAC, LDA, IWORK, INFO )
*
* Check error code from CGETRF.
*
IF( INFO.NE.IZERO )
$ CALL ALAERH( PATH, 'CGETRF', INFO, IZERO, ' ', M,
$ N, -1, -1, NB, IMAT, NFAIL, NERRS,
$ NOUT )
TRFCON = .FALSE.
*
*+ TEST 1
* Reconstruct matrix from factors and compute residual.
*
CALL CLACPY( 'Full', M, N, AFAC, LDA, AINV, LDA )
CALL CGET01( M, N, A, LDA, AINV, LDA, IWORK, RWORK,
$ RESULT( 1 ) )
NT = 1
*
*+ TEST 2
* Form the inverse if the factorization was successful
* and compute the residual.
*
IF( M.EQ.N .AND. INFO.EQ.0 ) THEN
CALL CLACPY( 'Full', N, N, AFAC, LDA, AINV, LDA )
SRNAMT = 'CGETRI'
NRHS = NSVAL( 1 )
LWORK = NMAX*MAX( 3, NRHS )
CALL CGETRI( N, AINV, LDA, IWORK, WORK, LWORK,
$ INFO )
*
* Check error code from CGETRI.
*
IF( INFO.NE.0 )
$ CALL ALAERH( PATH, 'CGETRI', INFO, 0, ' ', N, N,
$ -1, -1, NB, IMAT, NFAIL, NERRS,
$ NOUT )
*
* Compute the residual for the matrix times its
* inverse. Also compute the 1-norm condition number
* of A.
*
CALL CGET03( N, A, LDA, AINV, LDA, WORK, LDA,
$ RWORK, RCONDO, RESULT( 2 ) )
ANORMO = CLANGE( 'O', M, N, A, LDA, RWORK )
*
* Compute the infinity-norm condition number of A.
*
ANORMI = CLANGE( 'I', M, N, A, LDA, RWORK )
AINVNM = CLANGE( 'I', N, N, AINV, LDA, RWORK )
IF( ANORMI.LE.ZERO .OR. AINVNM.LE.ZERO ) THEN
RCONDI = ONE
ELSE
RCONDI = ( ONE / ANORMI ) / AINVNM
END IF
NT = 2
ELSE
*
* Do only the condition estimate if INFO > 0.
*
TRFCON = .TRUE.
ANORMO = CLANGE( 'O', M, N, A, LDA, RWORK )
ANORMI = CLANGE( 'I', M, N, A, LDA, RWORK )
RCONDO = ZERO
RCONDI = ZERO
END IF
*
* Print information about the tests so far 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 ALAHD( NOUT, PATH )
WRITE( NOUT, FMT = 9999 )M, N, NB, IMAT, K,
$ RESULT( K )
NFAIL = NFAIL + 1
END IF
30 CONTINUE
NRUN = NRUN + NT
*
* Skip the remaining tests if this is not the first
* block size or if M .ne. N. Skip the solve tests if
* the matrix is singular.
*
IF( INB.GT.1 .OR. M.NE.N )
$ GO TO 90
IF( TRFCON )
$ GO TO 70
*
DO 60 IRHS = 1, NNS
NRHS = NSVAL( IRHS )
XTYPE = 'N'
*
DO 50 ITRAN = 1, NTRAN
TRANS = TRANSS( ITRAN )
IF( ITRAN.EQ.1 ) THEN
RCONDC = RCONDO
ELSE
RCONDC = RCONDI
END IF
*
*+ TEST 3
* Solve and compute residual for A * X = B.
*
SRNAMT = 'CLARHS'
CALL CLARHS( PATH, XTYPE, ' ', TRANS, N, N, KL,
$ KU, NRHS, A, LDA, XACT, LDA, B,
$ LDA, ISEED, INFO )
XTYPE = 'C'
*
CALL CLACPY( 'Full', N, NRHS, B, LDA, X, LDA )
SRNAMT = 'CGETRS'
CALL CGETRS( TRANS, N, NRHS, AFAC, LDA, IWORK,
$ X, LDA, INFO )
*
* Check error code from CGETRS.
*
IF( INFO.NE.0 )
$ CALL ALAERH( PATH, 'CGETRS', INFO, 0, TRANS,
$ N, N, -1, -1, NRHS, IMAT, NFAIL,
$ NERRS, NOUT )
*
CALL CLACPY( 'Full', N, NRHS, B, LDA, WORK,
$ LDA )
CALL CGET02( TRANS, N, N, NRHS, A, LDA, X, LDA,
$ WORK, LDA, RWORK, RESULT( 3 ) )
*
*+ TEST 4
* Check solution from generated exact solution.
*
CALL CGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC,
$ RESULT( 4 ) )
*
*+ TESTS 5, 6, and 7
* Use iterative refinement to improve the
* solution.
*
SRNAMT = 'CGERFS'
CALL CGERFS( TRANS, N, NRHS, A, LDA, AFAC, LDA,
$ IWORK, B, LDA, X, LDA, RWORK,
$ RWORK( NRHS+1 ), WORK,
$ RWORK( 2*NRHS+1 ), INFO )
*
* Check error code from CGERFS.
*
IF( INFO.NE.0 )
$ CALL ALAERH( PATH, 'CGERFS', INFO, 0, TRANS,
$ N, N, -1, -1, NRHS, IMAT, NFAIL,
$ NERRS, NOUT )
*
CALL CGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC,
$ RESULT( 5 ) )
CALL CGET07( TRANS, N, NRHS, A, LDA, B, LDA, X,
$ LDA, XACT, LDA, RWORK,
$ RWORK( NRHS+1 ), RESULT( 6 ) )
*
* Print information about the tests that did not
* pass the threshold.
*
DO 40 K = 3, 7
IF( RESULT( K ).GE.THRESH ) THEN
IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
$ CALL ALAHD( NOUT, PATH )
WRITE( NOUT, FMT = 9998 )TRANS, N, NRHS,
$ IMAT, K, RESULT( K )
NFAIL = NFAIL + 1
END IF
40 CONTINUE
NRUN = NRUN + 5
50 CONTINUE
60 CONTINUE
*
*+ TEST 8
* Get an estimate of RCOND = 1/CNDNUM.
*
70 CONTINUE
DO 80 ITRAN = 1, 2
IF( ITRAN.EQ.1 ) THEN
ANORM = ANORMO
RCONDC = RCONDO
NORM = 'O'
ELSE
ANORM = ANORMI
RCONDC = RCONDI
NORM = 'I'
END IF
SRNAMT = 'CGECON'
CALL CGECON( NORM, N, AFAC, LDA, ANORM, RCOND,
$ WORK, RWORK, INFO )
*
* Check error code from CGECON.
*
IF( INFO.NE.0 )
$ CALL ALAERH( PATH, 'CGECON', INFO, 0, NORM, N,
$ N, -1, -1, -1, IMAT, NFAIL, NERRS,
$ NOUT )
*
* This line is needed on a Sun SPARCstation.
*
DUMMY = RCOND
*
RESULT( 8 ) = SGET06( RCOND, RCONDC )
*
* 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 = 9997 )NORM, N, NB, IMAT, 8,
$ RESULT( 8 )
NFAIL = NFAIL + 1
END IF
NRUN = NRUN + 1
80 CONTINUE
90 CONTINUE
100 CONTINUE
*
110 CONTINUE
120 CONTINUE
*
* Print a summary of the results.
*
CALL ALASUM( PATH, NOUT, NFAIL, NRUN, NERRS )
*
9999 FORMAT( ' M = ', I5, ', N =', I5, ', NB =', I4, ', type ', I2,
$ ', test ', I2, ', ratio =', G12.5 )
9998 FORMAT( ' TRANS=''', A1, ''', N =', I5, ', NB =', I4, ', type ',
$ I2, ', test ', I2, ', ratio =', G12.5 )
9997 FORMAT( ' NORM =''', A1, ''', N =', I5, ', NB =', I4, ', type ',
$ I2, ', test ', I2, ', ratio =', G12.5 )
RETURN
*
* End of CCHKGE
*
END
|
