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SUBROUTINE DCHKPP( DOTYPE, NN, NVAL, NNS, NSVAL, THRESH, TSTERR,
$ NMAX, A, AFAC, AINV, B, X, XACT, 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 NMAX, NN, NNS, NOUT DOUBLE PRECISION THRESH * .. * .. Array Arguments .. LOGICAL DOTYPE( * ) INTEGER IWORK( * ), NSVAL( * ), NVAL( * ) DOUBLE PRECISION A( * ), AFAC( * ), AINV( * ), B( * ), $ RWORK( * ), WORK( * ), X( * ), XACT( * ) * .. * * Purpose * ======= * * DCHKPP tests DPPTRF, -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. * * 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. * * 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 maximum value permitted for N, used in dimensioning the * work arrays. * * A (workspace) DOUBLE PRECISION array, dimension * (NMAX*(NMAX+1)/2) * * AFAC (workspace) DOUBLE PRECISION array, dimension * (NMAX*(NMAX+1)/2) * * AINV (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)) * * RWORK (workspace) DOUBLE PRECISION array, dimension * (max(NMAX,2*NSMAX)) * * IWORK (workspace) INTEGER array, dimension (NMAX) * * NOUT (input) INTEGER * The unit number for output. * * ===================================================================== * * .. Parameters .. DOUBLE PRECISION ZERO PARAMETER ( ZERO = 0.0D+0 ) INTEGER NTYPES PARAMETER ( NTYPES = 9 ) INTEGER NTESTS PARAMETER ( NTESTS = 8 ) * .. * .. Local Scalars .. LOGICAL ZEROT CHARACTER DIST, PACKIT, TYPE, UPLO, XTYPE CHARACTER*3 PATH INTEGER I, IMAT, IN, INFO, IOFF, IRHS, IUPLO, IZERO, K, $ KL, KU, LDA, MODE, N, NERRS, NFAIL, NIMAT, NPP, $ NRHS, NRUN DOUBLE PRECISION ANORM, CNDNUM, RCOND, RCONDC * .. * .. Local Arrays .. CHARACTER PACKS( 2 ), UPLOS( 2 ) INTEGER ISEED( 4 ), ISEEDY( 4 ) DOUBLE PRECISION RESULT( NTESTS ) * .. * .. External Functions .. DOUBLE PRECISION DGET06, DLANSP EXTERNAL DGET06, DLANSP * .. * .. External Subroutines .. EXTERNAL ALAERH, ALAHD, ALASUM, DCOPY, DERRPO, DGET04, $ DLACPY, DLARHS, DLATB4, DLATMS, DPPCON, DPPRFS, $ DPPT01, DPPT02, DPPT03, DPPT05, DPPTRF, DPPTRI, $ DPPTRS * .. * .. Scalars in Common .. LOGICAL LERR, OK CHARACTER*32 SRNAMT INTEGER INFOT, NUNIT * .. * .. Common blocks .. COMMON / INFOC / INFOT, NUNIT, OK, LERR COMMON / SRNAMC / SRNAMT * .. * .. Intrinsic Functions .. INTRINSIC MAX * .. * .. Data statements .. DATA ISEEDY / 1988, 1989, 1990, 1991 / DATA UPLOS / 'U', 'L' / , PACKS / 'C', 'R' / * .. * .. Executable Statements .. * * Initialize constants and the random number seed. * PATH( 1: 1 ) = 'Double precision' PATH( 2: 3 ) = 'PP' NRUN = 0 NFAIL = 0 NERRS = 0 DO 10 I = 1, 4 ISEED( I ) = ISEEDY( I ) 10 CONTINUE * * Test the error exits * IF( TSTERR ) $ CALL DERRPO( PATH, NOUT ) INFOT = 0 * * Do for each value of N in NVAL * DO 110 IN = 1, NN N = NVAL( IN ) LDA = MAX( N, 1 ) XTYPE = 'N' NIMAT = NTYPES IF( 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 3, 4, or 5 if the matrix size is too small. * ZEROT = IMAT.GE.3 .AND. IMAT.LE.5 IF( ZEROT .AND. N.LT.IMAT-2 ) $ GO TO 100 * * Do first for UPLO = 'U', then for UPLO = 'L' * DO 90 IUPLO = 1, 2 UPLO = UPLOS( IUPLO ) PACKIT = PACKS( IUPLO ) * * 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 ) * SRNAMT = 'DLATMS' CALL DLATMS( N, N, DIST, ISEED, TYPE, RWORK, MODE, $ CNDNUM, ANORM, KL, KU, PACKIT, A, LDA, WORK, $ INFO ) * * Check error code from DLATMS. * IF( INFO.NE.0 ) THEN CALL ALAERH( PATH, 'DLATMS', INFO, 0, UPLO, N, N, -1, $ -1, -1, IMAT, NFAIL, NERRS, NOUT ) GO TO 90 END IF * * For types 3-5, zero one row and column of the matrix to * test that INFO is returned correctly. * IF( ZEROT ) THEN IF( IMAT.EQ.3 ) THEN IZERO = 1 ELSE IF( IMAT.EQ.4 ) THEN IZERO = N ELSE IZERO = N / 2 + 1 END IF * * Set row and column IZERO of A to 0. * IF( IUPLO.EQ.1 ) THEN IOFF = ( IZERO-1 )*IZERO / 2 DO 20 I = 1, IZERO - 1 A( IOFF+I ) = ZERO 20 CONTINUE IOFF = IOFF + IZERO DO 30 I = IZERO, N A( IOFF ) = ZERO IOFF = IOFF + I 30 CONTINUE ELSE IOFF = IZERO DO 40 I = 1, IZERO - 1 A( IOFF ) = ZERO IOFF = IOFF + N - I 40 CONTINUE IOFF = IOFF - IZERO DO 50 I = IZERO, N A( IOFF+I ) = ZERO 50 CONTINUE END IF ELSE IZERO = 0 END IF * * Compute the L*L' or U'*U factorization of the matrix. * NPP = N*( N+1 ) / 2 CALL DCOPY( NPP, A, 1, AFAC, 1 ) SRNAMT = 'DPPTRF' CALL DPPTRF( UPLO, N, AFAC, INFO ) * * Check error code from DPPTRF. * IF( INFO.NE.IZERO ) THEN CALL ALAERH( PATH, 'DPPTRF', INFO, IZERO, UPLO, N, N, $ -1, -1, -1, IMAT, NFAIL, NERRS, NOUT ) GO TO 90 END IF * * Skip the tests if INFO is not 0. * IF( INFO.NE.0 ) $ GO TO 90 * *+ TEST 1 * Reconstruct matrix from factors and compute residual. * CALL DCOPY( NPP, AFAC, 1, AINV, 1 ) CALL DPPT01( UPLO, N, A, AINV, RWORK, RESULT( 1 ) ) * *+ TEST 2 * Form the inverse and compute the residual. * CALL DCOPY( NPP, AFAC, 1, AINV, 1 ) SRNAMT = 'DPPTRI' CALL DPPTRI( UPLO, N, AINV, INFO ) * * Check error code from DPPTRI. * IF( INFO.NE.0 ) $ CALL ALAERH( PATH, 'DPPTRI', INFO, 0, UPLO, N, N, -1, $ -1, -1, IMAT, NFAIL, NERRS, NOUT ) * CALL DPPT03( UPLO, N, A, AINV, WORK, LDA, RWORK, RCONDC, $ RESULT( 2 ) ) * * Print information about the tests that did not pass * the threshold. * DO 60 K = 1, 2 IF( RESULT( K ).GE.THRESH ) THEN IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 ) $ CALL ALAHD( NOUT, PATH ) WRITE( NOUT, FMT = 9999 )UPLO, N, IMAT, K, $ RESULT( K ) NFAIL = NFAIL + 1 END IF 60 CONTINUE NRUN = NRUN + 2 * DO 80 IRHS = 1, NNS NRHS = NSVAL( IRHS ) * *+ TEST 3 * Solve and compute residual for A * X = B. * SRNAMT = 'DLARHS' CALL DLARHS( PATH, XTYPE, UPLO, ' ', N, N, KL, KU, $ NRHS, A, LDA, XACT, LDA, B, LDA, ISEED, $ INFO ) CALL DLACPY( 'Full', N, NRHS, B, LDA, X, LDA ) * SRNAMT = 'DPPTRS' CALL DPPTRS( UPLO, N, NRHS, AFAC, X, LDA, INFO ) * * Check error code from DPPTRS. * IF( INFO.NE.0 ) $ CALL ALAERH( PATH, 'DPPTRS', INFO, 0, UPLO, N, N, $ -1, -1, NRHS, IMAT, NFAIL, NERRS, $ NOUT ) * CALL DLACPY( 'Full', N, NRHS, B, LDA, WORK, LDA ) CALL DPPT02( UPLO, N, NRHS, A, X, LDA, WORK, LDA, $ RWORK, RESULT( 3 ) ) * *+ TEST 4 * Check solution from generated exact solution. * CALL DGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC, $ RESULT( 4 ) ) * *+ TESTS 5, 6, and 7 * Use iterative refinement to improve the solution. * SRNAMT = 'DPPRFS' CALL DPPRFS( UPLO, N, NRHS, A, AFAC, B, LDA, X, LDA, $ RWORK, RWORK( NRHS+1 ), WORK, IWORK, $ INFO ) * * Check error code from DPPRFS. * IF( INFO.NE.0 ) $ CALL ALAERH( PATH, 'DPPRFS', INFO, 0, UPLO, N, N, $ -1, -1, NRHS, IMAT, NFAIL, NERRS, $ NOUT ) * CALL DGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC, $ RESULT( 5 ) ) CALL DPPT05( UPLO, N, NRHS, A, B, LDA, X, LDA, XACT, $ LDA, RWORK, RWORK( NRHS+1 ), $ RESULT( 6 ) ) * * Print information about the tests that did not pass * the threshold. * DO 70 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 )UPLO, N, NRHS, IMAT, $ K, RESULT( K ) NFAIL = NFAIL + 1 END IF 70 CONTINUE NRUN = NRUN + 5 80 CONTINUE * *+ TEST 8 * Get an estimate of RCOND = 1/CNDNUM. * ANORM = DLANSP( '1', UPLO, N, A, RWORK ) SRNAMT = 'DPPCON' CALL DPPCON( UPLO, N, AFAC, ANORM, RCOND, WORK, IWORK, $ INFO ) * * Check error code from DPPCON. * IF( INFO.NE.0 ) $ CALL ALAERH( PATH, 'DPPCON', INFO, 0, UPLO, N, N, -1, $ -1, -1, IMAT, NFAIL, NERRS, NOUT ) * RESULT( 8 ) = DGET06( RCOND, RCONDC ) * * Print the test ratio if greater than or equal to THRESH. * IF( RESULT( 8 ).GE.THRESH ) THEN IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 ) $ CALL ALAHD( NOUT, PATH ) WRITE( NOUT, FMT = 9999 )UPLO, N, IMAT, 8, $ RESULT( 8 ) NFAIL = NFAIL + 1 END IF NRUN = NRUN + 1 90 CONTINUE 100 CONTINUE 110 CONTINUE * * Print a summary of the results. * CALL ALASUM( PATH, NOUT, NFAIL, NRUN, NERRS ) * 9999 FORMAT( ' UPLO = ''', A1, ''', N =', I5, ', type ', I2, ', test ', $ I2, ', ratio =', G12.5 ) 9998 FORMAT( ' UPLO = ''', A1, ''', N =', I5, ', NRHS=', I3, ', type ', $ I2, ', test(', I2, ') =', G12.5 ) RETURN * * End of DCHKPP * END |