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authorjulie <julielangou@users.noreply.github.com>2008-12-16 17:06:58 +0000
committerjulie <julielangou@users.noreply.github.com>2008-12-16 17:06:58 +0000
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+ SUBROUTINE CDRVRF3( NOUT, NN, NVAL, THRESH, A, LDA, ARF, B1, B2,
+ + S_WORK_CLANGE, C_WORK_CGEQRF, 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
+ REAL THRESH
+* ..
+* .. Array Arguments ..
+ INTEGER NVAL( NN )
+ REAL S_WORK_CLANGE( * )
+ COMPLEX A( LDA, * ), ARF( * ), B1( LDA, * ),
+ + B2( LDA, * )
+ COMPLEX C_WORK_CGEQRF( * ), TAU( * )
+* ..
+*
+* Purpose
+* =======
+*
+* CDRVRF3 tests the LAPACK RFP routines:
+* CTFSM
+*
+* 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) COMPLEX*16 array, dimension (LDA,NMAX)
+*
+* LDA (input) INTEGER
+* The leading dimension of the array A. LDA >= max(1,NMAX).
+*
+* ARF (workspace) COMPLEX array, dimension ((NMAX*(NMAX+1))/2).
+*
+* B1 (workspace) COMPLEX array, dimension (LDA,NMAX)
+*
+* B2 (workspace) COMPLEX array, dimension (LDA,NMAX)
+*
+* S_WORK_CLANGE (workspace) REAL array, dimension (NMAX)
+*
+* C_WORK_CGEQRF (workspace) COMPLEX array, dimension (NMAX)
+*
+* TAU (workspace) COMPLEX array, dimension (NMAX)
+*
+* =====================================================================
+* ..
+* .. Parameters ..
+ COMPLEX ZERO, ONE
+ PARAMETER ( ZERO = ( 0.0E+0, 0.0E+0 ) ,
+ + ONE = ( 1.0E+0, 0.0E+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
+ COMPLEX ALPHA
+ REAL EPS
+* ..
+* .. Local Arrays ..
+ CHARACTER UPLOS( 2 ), FORMS( 2 ), TRANSS( 2 ),
+ + DIAGS( 2 ), SIDES( 2 )
+ INTEGER ISEED( 4 ), ISEEDY( 4 )
+ REAL RESULT( NTESTS )
+* ..
+* .. External Functions ..
+ REAL SLAMCH, CLANGE
+ COMPLEX CLARND
+ EXTERNAL SLAMCH, CLARND, CLANGE
+* ..
+* .. External Subroutines ..
+ EXTERNAL CTRTTF, CGEQRF, CGEQLF, CTFSM, CTRSM
+* ..
+* .. 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', 'C' /
+ DATA SIDES / 'L', 'R' /
+ DATA TRANSS / 'N', 'C' /
+ 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 = SLAMCH( '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 = CLARND( 4, 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) = CLARND( 4, ISEED )
+ END DO
+ END DO
+*
+ IF ( IUPLO.EQ.1 ) THEN
+*
+* The case IUPLO.EQ.1 is when SIDE.EQ.'U'
+* -> QR factorization.
+*
+ SRNAMT = 'CGEQRF'
+ CALL CGEQRF( NA, NA, A, LDA, TAU,
+ + C_WORK_CGEQRF, LDA,
+ + INFO )
+ ELSE
+*
+* The case IUPLO.EQ.2 is when SIDE.EQ.'L'
+* -> QL factorization.
+*
+ SRNAMT = 'CGELQF'
+ CALL CGELQF( NA, NA, A, LDA, TAU,
+ + C_WORK_CGEQRF, LDA,
+ + INFO )
+ END IF
+*
+* After the QR factorization, the diagonal
+* of A is made of real numbers, we multiply
+* by a random complex number of absolute
+* value 1.0E+00.
+*
+ DO J = 1, NA
+ A( J, J) = A(J,J) * CLARND( 5, ISEED )
+ END DO
+*
+* Store a copy of A in RFP format (in ARF).
+*
+ SRNAMT = 'CTRTTF'
+ CALL CTRTTF( 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) = CLARND( 4, ISEED )
+ B2( I, J) = B1( I, J)
+ END DO
+ END DO
+*
+* Solve op( A ) X = B or X op( A ) = B
+* with CTRSM
+*
+ SRNAMT = 'CTRSM'
+ CALL CTRSM( SIDE, UPLO, TRANS, DIAG, M, N,
+ + ALPHA, A, LDA, B1, LDA )
+*
+* Solve op( A ) X = B or X op( A ) = B
+* with CTFSM
+*
+ SRNAMT = 'CTFSM'
+ CALL CTFSM( 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) = CLANGE( 'I', M, N, B1, LDA,
+ + S_WORK_CLANGE )
+*
+ 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 ) 'CTFSM',
+ + 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 ) 'CTFSM', NRUN
+ ELSE
+ WRITE( NOUT, FMT = 9995 ) 'CTFSM', NFAIL, NRUN
+ END IF
+*
+ 9999 FORMAT( 1X, ' *** Error(s) or Failure(s) while testing CTFSM
+ + ***')
+ 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 CDRVRF3
+*
+ END