numeric-linalg
Educational material on the SciPy implementation of numerical linear algebra algorithms
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| lapack/TESTING/LIN/zdrvrf4.f | 10933B | -rw-r--r-- |
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*> \brief \b ZDRVRF4 * * =========== DOCUMENTATION =========== * * Online html documentation available at * http://www.netlib.org/lapack/explore-html/ * * Definition: * =========== * * SUBROUTINE ZDRVRF4( NOUT, NN, NVAL, THRESH, C1, C2, LDC, CRF, A, * + LDA, D_WORK_ZLANGE ) * * .. Scalar Arguments .. * INTEGER LDA, LDC, NN, NOUT * DOUBLE PRECISION THRESH * .. * .. Array Arguments .. * INTEGER NVAL( NN ) * DOUBLE PRECISION D_WORK_ZLANGE( * ) * COMPLEX*16 A( LDA, * ), C1( LDC, * ), C2( LDC, *), * + CRF( * ) * .. * * *> \par Purpose: * ============= *> *> \verbatim *> *> ZDRVRF4 tests the LAPACK RFP routines: *> ZHFRK *> \endverbatim * * Arguments: * ========== * *> \param[in] NOUT *> \verbatim *> NOUT is INTEGER *> The unit number for output. *> \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 dimension N. *> \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[out] C1 *> \verbatim *> C1 is COMPLEX*16 array, dimension (LDC,NMAX) *> \endverbatim *> *> \param[out] C2 *> \verbatim *> C2 is COMPLEX*16 array, dimension (LDC,NMAX) *> \endverbatim *> *> \param[in] LDC *> \verbatim *> LDC is INTEGER *> The leading dimension of the array A. LDA >= max(1,NMAX). *> \endverbatim *> *> \param[out] CRF *> \verbatim *> CRF is COMPLEX*16 array, dimension ((NMAX*(NMAX+1))/2). *> \endverbatim *> *> \param[out] A *> \verbatim *> A is COMPLEX*16 array, dimension (LDA,NMAX) *> \endverbatim *> *> \param[in] LDA *> \verbatim *> LDA is INTEGER *> The leading dimension of the array A. LDA >= max(1,NMAX). *> \endverbatim *> *> \param[out] D_WORK_ZLANGE *> \verbatim *> D_WORK_ZLANGE is DOUBLE PRECISION array, dimension (NMAX) *> \endverbatim * * Authors: * ======== * *> \author Univ. of Tennessee *> \author Univ. of California Berkeley *> \author Univ. of Colorado Denver *> \author NAG Ltd. * *> \ingroup complex16_lin * * ===================================================================== SUBROUTINE ZDRVRF4( NOUT, NN, NVAL, THRESH, C1, C2, LDC, CRF, A, + LDA, D_WORK_ZLANGE ) * * -- 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 .. INTEGER LDA, LDC, NN, NOUT DOUBLE PRECISION THRESH * .. * .. Array Arguments .. INTEGER NVAL( NN ) DOUBLE PRECISION D_WORK_ZLANGE( * ) COMPLEX*16 A( LDA, * ), C1( LDC, * ), C2( LDC, *), + CRF( * ) * .. * * ===================================================================== * .. * .. Parameters .. DOUBLE PRECISION ZERO, ONE PARAMETER ( ZERO = 0.0D+0, ONE = 1.0D+0 ) INTEGER NTESTS PARAMETER ( NTESTS = 1 ) * .. * .. Local Scalars .. CHARACTER UPLO, CFORM, TRANS INTEGER I, IFORM, IIK, IIN, INFO, IUPLO, J, K, N, + NFAIL, NRUN, IALPHA, ITRANS DOUBLE PRECISION ALPHA, BETA, EPS, NORMA, NORMC * .. * .. Local Arrays .. CHARACTER UPLOS( 2 ), FORMS( 2 ), TRANSS( 2 ) INTEGER ISEED( 4 ), ISEEDY( 4 ) DOUBLE PRECISION RESULT( NTESTS ) * .. * .. External Functions .. DOUBLE PRECISION DLAMCH, DLARND, ZLANGE COMPLEX*16 ZLARND EXTERNAL DLAMCH, DLARND, ZLANGE, ZLARND * .. * .. External Subroutines .. EXTERNAL ZHERK, ZHFRK, ZTFTTR, ZTRTTF * .. * .. Intrinsic Functions .. INTRINSIC DABS, MAX * .. * .. 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', 'C' / DATA TRANSS / 'N', 'C' / * .. * .. 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 150 IIN = 1, NN * N = NVAL( IIN ) * DO 140 IIK = 1, NN * K = NVAL( IIN ) * DO 130 IFORM = 1, 2 * CFORM = FORMS( IFORM ) * DO 120 IUPLO = 1, 2 * UPLO = UPLOS( IUPLO ) * DO 110 ITRANS = 1, 2 * TRANS = TRANSS( ITRANS ) * DO 100 IALPHA = 1, 4 * IF ( IALPHA.EQ. 1) THEN ALPHA = ZERO BETA = ZERO ELSE IF ( IALPHA.EQ. 2) THEN ALPHA = ONE BETA = ZERO ELSE IF ( IALPHA.EQ. 3) THEN ALPHA = ZERO BETA = ONE ELSE ALPHA = DLARND( 2, ISEED ) BETA = DLARND( 2, ISEED ) END IF * * All the parameters are set: * CFORM, UPLO, TRANS, M, N, * ALPHA, and BETA * READY TO TEST! * NRUN = NRUN + 1 * IF ( ITRANS.EQ.1 ) THEN * * In this case we are NOTRANS, so A is N-by-K * DO J = 1, K DO I = 1, N A( I, J) = ZLARND( 4, ISEED ) END DO END DO * NORMA = ZLANGE( 'I', N, K, A, LDA, + D_WORK_ZLANGE ) * ELSE * * In this case we are TRANS, so A is K-by-N * DO J = 1,N DO I = 1, K A( I, J) = ZLARND( 4, ISEED ) END DO END DO * NORMA = ZLANGE( 'I', K, N, A, LDA, + D_WORK_ZLANGE ) * END IF * * * Generate C1 our N--by--N Hermitian matrix. * Make sure C2 has the same upper/lower part, * (the one that we do not touch), so * copy the initial C1 in C2 in it. * DO J = 1, N DO I = 1, N C1( I, J) = ZLARND( 4, ISEED ) C2(I,J) = C1(I,J) END DO END DO * * (See comment later on for why we use ZLANGE and * not ZLANHE for C1.) * NORMC = ZLANGE( 'I', N, N, C1, LDC, + D_WORK_ZLANGE ) * SRNAMT = 'ZTRTTF' CALL ZTRTTF( CFORM, UPLO, N, C1, LDC, CRF, + INFO ) * * call zherk the BLAS routine -> gives C1 * SRNAMT = 'ZHERK ' CALL ZHERK( UPLO, TRANS, N, K, ALPHA, A, LDA, + BETA, C1, LDC ) * * call zhfrk the RFP routine -> gives CRF * SRNAMT = 'ZHFRK ' CALL ZHFRK( CFORM, UPLO, TRANS, N, K, ALPHA, A, + LDA, BETA, CRF ) * * convert CRF in full format -> gives C2 * SRNAMT = 'ZTFTTR' CALL ZTFTTR( CFORM, UPLO, N, CRF, C2, LDC, + INFO ) * * compare C1 and C2 * DO J = 1, N DO I = 1, N C1(I,J) = C1(I,J)-C2(I,J) END DO END DO * * Yes, C1 is Hermitian so we could call ZLANHE, * but we want to check the upper part that is * supposed to be unchanged and the diagonal that * is supposed to be real -> ZLANGE * RESULT(1) = ZLANGE( 'I', N, N, C1, LDC, + D_WORK_ZLANGE ) RESULT(1) = RESULT(1) + / MAX( DABS( ALPHA ) * NORMA * NORMA + + DABS( BETA ) * NORMC, ONE ) + / MAX( N , 1 ) / EPS * IF( RESULT(1).GE.THRESH ) THEN IF( NFAIL.EQ.0 ) THEN WRITE( NOUT, * ) WRITE( NOUT, FMT = 9999 ) END IF WRITE( NOUT, FMT = 9997 ) 'ZHFRK', + CFORM, UPLO, TRANS, N, K, RESULT(1) NFAIL = NFAIL + 1 END IF * 100 CONTINUE 110 CONTINUE 120 CONTINUE 130 CONTINUE 140 CONTINUE 150 CONTINUE * * Print a summary of the results. * IF ( NFAIL.EQ.0 ) THEN WRITE( NOUT, FMT = 9996 ) 'ZHFRK', NRUN ELSE WRITE( NOUT, FMT = 9995 ) 'ZHFRK', NFAIL, NRUN END IF * 9999 FORMAT( 1X, ' *** Error(s) or Failure(s) while testing ZHFRK + ***') 9997 FORMAT( 1X, ' Failure in ',A5,', CFORM=''',A1,''',', + ' UPLO=''',A1,''',',' TRANS=''',A1,''',', ' N=',I3,', K =', I3, + ', test=',G12.5) 9996 FORMAT( 1X, 'All tests for ',A5,' auxiliary routine passed the ', + 'threshold ( ',I6,' tests run)') 9995 FORMAT( 1X, A6, ' auxiliary routine: ',I6,' out of ',I6, + ' tests failed to pass the threshold') * RETURN * * End of ZDRVRF4 * END