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Diffstat (limited to 'TESTING/LIN/clqt05.f')
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diff --git a/TESTING/LIN/clqt05.f b/TESTING/LIN/clqt05.f new file mode 100644 index 00000000..22ffcc05 --- /dev/null +++ b/TESTING/LIN/clqt05.f @@ -0,0 +1,289 @@ +*> \brief \b CLQT05 +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +* Definition: +* =========== +* +* SUBROUTINE CLQT05(M,N,L,NB,RESULT) +* +* .. Scalar Arguments .. +* INTEGER LWORK, M, N, L, NB, LDT +* .. Return values .. +* DOUBLE PRECISION RESULT(6) +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> CQRT05 tests CTPLQT and CTPMLQT. +*> \endverbatim +* +* Arguments: +* ========== +* +*> \param[in] M +*> \verbatim +*> M is INTEGER +*> Number of rows in lower part of the test matrix. +*> \endverbatim +*> +*> \param[in] N +*> \verbatim +*> N is INTEGER +*> Number of columns in test matrix. +*> \endverbatim +*> +*> \param[in] L +*> \verbatim +*> L is INTEGER +*> The number of rows of the upper trapezoidal part the +*> lower test matrix. 0 <= L <= M. +*> \endverbatim +*> +*> \param[in] NB +*> \verbatim +*> NB is INTEGER +*> Block size of test matrix. NB <= N. +*> \endverbatim +*> +*> \param[out] RESULT +*> \verbatim +*> RESULT is DOUBLE PRECISION array, dimension (6) +*> Results of each of the six tests below. +*> +*> RESULT(1) = | A - Q R | +*> RESULT(2) = | I - Q^H Q | +*> RESULT(3) = | Q C - Q C | +*> RESULT(4) = | Q^H C - Q^H C | +*> RESULT(5) = | C Q - C Q | +*> RESULT(6) = | C Q^H - C Q^H | +*> \endverbatim +* +* Authors: +* ======== +* +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. +* +*> \date April 2012 +* +*> \ingroup double_lin +* +* ===================================================================== + SUBROUTINE CLQT05(M,N,L,NB,RESULT) + IMPLICIT NONE +* +* -- LAPACK test routine (version 3.4.1) -- +* -- LAPACK is a software package provided by Univ. of Tennessee, -- +* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- +* April 2012 +* +* .. Scalar Arguments .. + INTEGER LWORK, M, N, L, NB, LDT +* .. Return values .. + REAL RESULT(6) +* +* ===================================================================== +* +* .. +* .. Local allocatable arrays + COMPLEX, ALLOCATABLE :: AF(:,:), Q(:,:), + $ R(:,:), RWORK(:), WORK( : ), T(:,:), + $ CF(:,:), DF(:,:), A(:,:), C(:,:), D(:,:) +* +* .. Parameters .. + REAL ZERO + COMPLEX ONE, CZERO + PARAMETER( ZERO = 0.0, ONE = (1.0,0.0), CZERO=(0.0,0.0) ) +* .. +* .. Local Scalars .. + INTEGER INFO, J, K, N2, NP1,i + REAL ANORM, EPS, RESID, CNORM, DNORM +* .. +* .. Local Arrays .. + INTEGER ISEED( 4 ) +* .. +* .. External Functions .. + REAL SLAMCH + REAL CLANGE, CLANSY + LOGICAL LSAME + EXTERNAL SLAMCH, CLANGE, CLANSY, LSAME +* .. +* .. Data statements .. + DATA ISEED / 1988, 1989, 1990, 1991 / +* + EPS = SLAMCH( 'Epsilon' ) + K = M + N2 = M+N + IF( N.GT.0 ) THEN + NP1 = M+1 + ELSE + NP1 = 1 + END IF + LWORK = N2*N2*NB +* +* Dynamically allocate all arrays +* + ALLOCATE(A(M,N2),AF(M,N2),Q(N2,N2),R(N2,N2),RWORK(N2), + $ WORK(LWORK),T(NB,M),C(N2,M),CF(N2,M), + $ D(M,N2),DF(M,N2) ) +* +* Put random stuff into A +* + LDT=NB + CALL CLASET( 'Full', M, N2, CZERO, CZERO, A, M ) + CALL CLASET( 'Full', NB, M, CZERO, CZERO, T, NB ) + DO J=1,M + CALL CLARNV( 2, ISEED, M-J+1, A( J, J ) ) + END DO + IF( N.GT.0 ) THEN + DO J=1,N-L + CALL CLARNV( 2, ISEED, M, A( 1, MIN(N+M,M+1) + J - 1 ) ) + END DO + END IF + IF( L.GT.0 ) THEN + DO J=1,L + CALL CLARNV( 2, ISEED, M-J+1, A( J, MIN(N+M,N+M-L+1) + $ + J - 1 ) ) + END DO + END IF +* +* Copy the matrix A to the array AF. +* + CALL CLACPY( 'Full', M, N2, A, M, AF, M ) +* +* Factor the matrix A in the array AF. +* + CALL CTPLQT( M,N,L,NB,AF,M,AF(1,NP1),M,T,LDT,WORK,INFO) +* +* Generate the (M+N)-by-(M+N) matrix Q by applying H to I +* + CALL CLASET( 'Full', N2, N2, CZERO, ONE, Q, N2 ) + CALL CGEMLQT( 'L', 'N', N2, N2, K, NB, AF, M, T, LDT, Q, N2, + $ WORK, INFO ) +* +* Copy L +* + CALL CLASET( 'Full', N2, N2, CZERO, CZERO, R, N2 ) + CALL CLACPY( 'Lower', M, N2, AF, M, R, N2 ) +* +* Compute |L - A*Q*C| / |A| and store in RESULT(1) +* + CALL CGEMM( 'N', 'C', M, N2, N2, -ONE, A, M, Q, N2, ONE, R, N2) + ANORM = CLANGE( '1', M, N2, A, M, RWORK ) + RESID = CLANGE( '1', M, N2, R, N2, RWORK ) + IF( ANORM.GT.ZERO ) THEN + RESULT( 1 ) = RESID / (EPS*ANORM*MAX(1,N2)) + ELSE + RESULT( 1 ) = ZERO + END IF +* +* Compute |I - Q*Q'| and store in RESULT(2) +* + CALL CLASET( 'Full', N2, N2, CZERO, ONE, R, N2 ) + CALL CHERK( 'U', 'N', N2, N2, REAL(-ONE), Q, N2, REAL(ONE), + $ R, N2 ) + RESID = CLANSY( '1', 'Upper', N2, R, N2, RWORK ) + RESULT( 2 ) = RESID / (EPS*MAX(1,N2)) +* +* Generate random m-by-n matrix C and a copy CF +* + CALL CLASET( 'Full', N2, M, CZERO, ONE, C, N2 ) + DO J=1,M + CALL CLARNV( 2, ISEED, N2, C( 1, J ) ) + END DO + CNORM = CLANGE( '1', N2, M, C, N2, RWORK) + CALL CLACPY( 'Full', N2, M, C, N2, CF, N2 ) +* +* Apply Q to C as Q*C +* + CALL CTPMLQT( 'L','N', N,M,K,L,NB,AF(1, NP1),M,T,LDT,CF,N2, + $ CF(NP1,1),N2,WORK,INFO) +* +* Compute |Q*C - Q*C| / |C| +* + CALL CGEMM( 'N', 'N', N2, M, N2, -ONE, Q, N2, C, N2, ONE, CF, N2 ) + RESID = CLANGE( '1', N2, M, CF, N2, RWORK ) + IF( CNORM.GT.ZERO ) THEN + RESULT( 3 ) = RESID / (EPS*MAX(1,N2)*CNORM) + ELSE + RESULT( 3 ) = ZERO + END IF + +* +* Copy C into CF again +* + CALL CLACPY( 'Full', N2, M, C, N2, CF, N2 ) +* +* Apply Q to C as QT*C +* + CALL CTPMLQT( 'L','C',N,M,K,L,NB,AF(1,NP1),M,T,LDT,CF,N2, + $ CF(NP1,1),N2,WORK,INFO) +* +* Compute |QT*C - QT*C| / |C| +* + CALL CGEMM('C','N',N2,M,N2,-ONE,Q,N2,C,N2,ONE,CF,N2) + RESID = CLANGE( '1', N2, M, CF, N2, RWORK ) + + IF( CNORM.GT.ZERO ) THEN + RESULT( 4 ) = RESID / (EPS*MAX(1,N2)*CNORM) + ELSE + RESULT( 4 ) = ZERO + END IF +* +* Generate random m-by-n matrix D and a copy DF +* + DO J=1,N2 + CALL CLARNV( 2, ISEED, M, D( 1, J ) ) + END DO + DNORM = CLANGE( '1', M, N2, D, M, RWORK) + CALL CLACPY( 'Full', M, N2, D, M, DF, M ) +* +* Apply Q to D as D*Q +* + CALL CTPMLQT('R','N',M,N,K,L,NB,AF(1,NP1),M,T,LDT,DF,M, + $ DF(1,NP1),M,WORK,INFO) +* +* Compute |D*Q - D*Q| / |D| +* + CALL CGEMM('N','N',M,N2,N2,-ONE,D,M,Q,N2,ONE,DF,M) + RESID = CLANGE('1',M, N2,DF,M,RWORK ) + IF( CNORM.GT.ZERO ) THEN + RESULT( 5 ) = RESID / (EPS*MAX(1,N2)*DNORM) + ELSE + RESULT( 5 ) = ZERO + END IF +* +* Copy D into DF again +* + CALL CLACPY('Full',M,N2,D,M,DF,M ) +* +* Apply Q to D as D*QT +* + CALL CTPMLQT('R','C',M,N,K,L,NB,AF(1,NP1),M,T,LDT,DF,M, + $ DF(1,NP1),M,WORK,INFO) + +* +* Compute |D*QT - D*QT| / |D| +* + CALL CGEMM( 'N', 'C', M, N2, N2, -ONE, D, M, Q, N2, ONE, DF, M ) + RESID = CLANGE( '1', M, N2, DF, M, RWORK ) + IF( CNORM.GT.ZERO ) THEN + RESULT( 6 ) = RESID / (EPS*MAX(1,N2)*DNORM) + ELSE + RESULT( 6 ) = ZERO + END IF +* +* Deallocate all arrays +* + DEALLOCATE ( A, AF, Q, R, RWORK, WORK, T, C, D, CF, DF) + RETURN + END
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