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SUBROUTINE DDRVRF3( NOUT, NN, NVAL, THRESH, A, LDA, ARF, B1, B2,
+ D_WORK_DLANGE, D_WORK_DGEQRF, TAU ) * * -- LAPACK test routine (version 3.2.0) -- * Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. * November 2008 * * .. Scalar Arguments .. INTEGER LDA, NN, NOUT DOUBLE PRECISION THRESH * .. * .. Array Arguments .. INTEGER NVAL( NN ) DOUBLE PRECISION A( LDA, * ), ARF( * ), B1( LDA, * ), + B2( LDA, * ), D_WORK_DGEQRF( * ), + D_WORK_DLANGE( * ), TAU( * ) * .. * * Purpose * ======= * * DDRVRF3 tests the LAPACK RFP routines: * DTFSM * * Arguments * ========= * * NOUT (input) INTEGER * The unit number for output. * * 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. * * 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. * * A (workspace) DOUBLE PRECISION array, dimension (LDA,NMAX) * * LDA (input) INTEGER * The leading dimension of the array A. LDA >= max(1,NMAX). * * ARF (workspace) DOUBLE PRECISION array, dimension ((NMAX*(NMAX+1))/2). * * B1 (workspace) DOUBLE PRECISION array, dimension (LDA,NMAX) * * B2 (workspace) DOUBLE PRECISION array, dimension (LDA,NMAX) * * D_WORK_DLANGE (workspace) DOUBLE PRECISION array, dimension (NMAX) * * D_WORK_DGEQRF (workspace) DOUBLE PRECISION array, dimension (NMAX) * * TAU (workspace) DOUBLE PRECISION array, dimension (NMAX) * * ===================================================================== * .. * .. Parameters .. DOUBLE PRECISION ZERO, ONE PARAMETER ( ZERO = ( 0.0D+0, 0.0D+0 ) , + ONE = ( 1.0D+0, 0.0D+0 ) ) INTEGER NTESTS PARAMETER ( NTESTS = 1 ) * .. * .. Local Scalars .. CHARACTER UPLO, CFORM, DIAG, TRANS, SIDE INTEGER I, IFORM, IIM, IIN, INFO, IUPLO, J, M, N, NA, + NFAIL, NRUN, ISIDE, IDIAG, IALPHA, ITRANS DOUBLE PRECISION EPS, ALPHA * .. * .. Local Arrays .. CHARACTER UPLOS( 2 ), FORMS( 2 ), TRANSS( 2 ), + DIAGS( 2 ), SIDES( 2 ) INTEGER ISEED( 4 ), ISEEDY( 4 ) DOUBLE PRECISION RESULT( NTESTS ) * .. * .. External Functions .. DOUBLE PRECISION DLAMCH, DLANGE, DLARND EXTERNAL DLAMCH, DLANGE, DLARND * .. * .. External Subroutines .. EXTERNAL DTRTTF, DGEQRF, DGEQLF, DTFSM, DTRSM * .. * .. Intrinsic Functions .. INTRINSIC MAX, SQRT * .. * .. Scalars in Common .. CHARACTER*32 SRNAMT * .. * .. Common blocks .. COMMON / SRNAMC / SRNAMT * .. * .. Data statements .. DATA ISEEDY / 1988, 1989, 1990, 1991 / DATA UPLOS / 'U', 'L' / DATA FORMS / 'N', 'T' / DATA SIDES / 'L', 'R' / DATA TRANSS / 'N', 'T' / DATA DIAGS / 'N', 'U' / * .. * .. Executable Statements .. * * Initialize constants and the random number seed. * NRUN = 0 NFAIL = 0 INFO = 0 DO 10 I = 1, 4 ISEED( I ) = ISEEDY( I ) 10 CONTINUE EPS = DLAMCH( 'Precision' ) * DO 170 IIM = 1, NN * M = NVAL( IIM ) * DO 160 IIN = 1, NN * N = NVAL( IIN ) * DO 150 IFORM = 1, 2 * CFORM = FORMS( IFORM ) * DO 140 IUPLO = 1, 2 * UPLO = UPLOS( IUPLO ) * DO 130 ISIDE = 1, 2 * SIDE = SIDES( ISIDE ) * DO 120 ITRANS = 1, 2 * TRANS = TRANSS( ITRANS ) * DO 110 IDIAG = 1, 2 * DIAG = DIAGS( IDIAG ) * DO 100 IALPHA = 1, 3 * IF ( IALPHA.EQ. 1) THEN ALPHA = ZERO ELSE IF ( IALPHA.EQ. 1) THEN ALPHA = ONE ELSE ALPHA = DLARND( 2, ISEED ) END IF * * All the parameters are set: * CFORM, SIDE, UPLO, TRANS, DIAG, M, N, * and ALPHA * READY TO TEST! * NRUN = NRUN + 1 * IF ( ISIDE.EQ.1 ) THEN * * The case ISIDE.EQ.1 is when SIDE.EQ.'L' * -> A is M-by-M ( B is M-by-N ) * NA = M * ELSE * * The case ISIDE.EQ.2 is when SIDE.EQ.'R' * -> A is N-by-N ( B is M-by-N ) * NA = N * END IF * * Generate A our NA--by--NA triangular * matrix. * Our test is based on forward error so we * do want A to be well conditionned! To get * a well-conditionned triangular matrix, we * take the R factor of the QR/LQ factorization * of a random matrix. * DO J = 1, NA DO I = 1, NA A( I, J) = DLARND( 2, ISEED ) END DO END DO * IF ( IUPLO.EQ.1 ) THEN * * The case IUPLO.EQ.1 is when SIDE.EQ.'U' * -> QR factorization. * SRNAMT = 'DGEQRF' CALL DGEQRF( NA, NA, A, LDA, TAU, + D_WORK_DGEQRF, LDA, + INFO ) ELSE * * The case IUPLO.EQ.2 is when SIDE.EQ.'L' * -> QL factorization. * SRNAMT = 'DGELQF' CALL DGELQF( NA, NA, A, LDA, TAU, + D_WORK_DGEQRF, LDA, + INFO ) END IF * * Store a copy of A in RFP format (in ARF). * SRNAMT = 'DTRTTF' CALL DTRTTF( CFORM, UPLO, NA, A, LDA, ARF, + INFO ) * * Generate B1 our M--by--N right-hand side * and store a copy in B2. * DO J = 1, N DO I = 1, M B1( I, J) = DLARND( 2, ISEED ) B2( I, J) = B1( I, J) END DO END DO * * Solve op( A ) X = B or X op( A ) = B * with DTRSM * SRNAMT = 'DTRSM' CALL DTRSM( SIDE, UPLO, TRANS, DIAG, M, N, + ALPHA, A, LDA, B1, LDA ) * * Solve op( A ) X = B or X op( A ) = B * with DTFSM * SRNAMT = 'DTFSM' CALL DTFSM( CFORM, SIDE, UPLO, TRANS, + DIAG, M, N, ALPHA, ARF, B2, + LDA ) * * Check that the result agrees. * DO J = 1, N DO I = 1, M B1( I, J) = B2( I, J ) - B1( I, J ) END DO END DO * RESULT(1) = DLANGE( 'I', M, N, B1, LDA, + D_WORK_DLANGE ) * RESULT(1) = RESULT(1) / SQRT( EPS ) + / MAX ( MAX( M, N), 1 ) * IF( RESULT(1).GE.THRESH ) THEN IF( NFAIL.EQ.0 ) THEN WRITE( NOUT, * ) WRITE( NOUT, FMT = 9999 ) END IF WRITE( NOUT, FMT = 9997 ) 'DTFSM', + CFORM, SIDE, UPLO, TRANS, DIAG, M, + N, RESULT(1) NFAIL = NFAIL + 1 END IF * 100 CONTINUE 110 CONTINUE 120 CONTINUE 130 CONTINUE 140 CONTINUE 150 CONTINUE 160 CONTINUE 170 CONTINUE * * Print a summary of the results. * IF ( NFAIL.EQ.0 ) THEN WRITE( NOUT, FMT = 9996 ) 'DTFSM', NRUN ELSE WRITE( NOUT, FMT = 9995 ) 'DTFSM', NFAIL, NRUN END IF * 9999 FORMAT( 1X, ' *** Error(s) or Failure(s) while testing DTFSM + ***') 9997 FORMAT( 1X, ' Failure in ',A5,', CFORM=''',A1,''',', + ' SIDE=''',A1,''',',' UPLO=''',A1,''',',' TRANS=''',A1,''',', + ' DIAG=''',A1,''',',' M=',I3,', N =', I3,', test=',G12.5) 9996 FORMAT( 1X, 'All tests for ',A5,' auxiliary routine passed the ', + 'threshold (',I5,' tests run)') 9995 FORMAT( 1X, A6, ' auxiliary routine:',I5,' out of ',I5, + ' tests failed to pass the threshold') * RETURN * * End of DDRVRF3 * END |