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Diffstat (limited to 'TESTING/LIN/slqt04.f')
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diff --git a/TESTING/LIN/slqt04.f b/TESTING/LIN/slqt04.f new file mode 100644 index 00000000..debae5ca --- /dev/null +++ b/TESTING/LIN/slqt04.f @@ -0,0 +1,259 @@ +*> \brief \b SLQT04 +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +* Definition: +* =========== +* +* SUBROUTINE SLQT04(M,N,NB,RESULT) +* +* .. Scalar Arguments .. +* INTEGER M, N, NB, LDT +* .. Return values .. +* REAL RESULT(6) +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> SLQT04 tests SGELQT and SGEMLQT. +*> \endverbatim +* +* Arguments: +* ========== +* +*> \param[in] M +*> \verbatim +*> M is INTEGER +*> Number of rows in test matrix. +*> \endverbatim +*> +*> \param[in] N +*> \verbatim +*> N is INTEGER +*> Number of columns in test matrix. +*> \endverbatim +*> +*> \param[in] NB +*> \verbatim +*> NB is INTEGER +*> Block size of test matrix. NB <= Min(M,N). +*> \endverbatim +*> +*> \param[out] RESULT +*> \verbatim +*> RESULT is REAL array, dimension (6) +*> Results of each of the six tests below. +*> +*> RESULT(1) = | A - L Q | +*> RESULT(2) = | I - Q Q^H | +*> 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 SLQT04(M,N,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 M, N, NB, LDT +* .. Return values .. + REAL RESULT(6) +* +* ===================================================================== +* +* .. +* .. Local allocatable arrays + REAL, ALLOCATABLE :: AF(:,:), Q(:,:), + $ L(:,:), RWORK(:), WORK( : ), T(:,:), + $ CF(:,:), DF(:,:), A(:,:), C(:,:), D(:,:) +* +* .. Parameters .. + REAL ONE, ZERO + PARAMETER( ZERO = 0.0, ONE = 1.0 ) +* .. +* .. Local Scalars .. + INTEGER INFO, J, K, LL, LWORK + REAL ANORM, EPS, RESID, CNORM, DNORM +* .. +* .. Local Arrays .. + INTEGER ISEED( 4 ) +* .. +* .. External Functions .. + REAL SLAMCH, SLANGE, SLANSY + LOGICAL LSAME + EXTERNAL SLAMCH, SLANGE, SLANSY, LSAME +* .. +* .. Intrinsic Functions .. + INTRINSIC MAX, MIN +* .. +* .. Data statements .. + DATA ISEED / 1988, 1989, 1990, 1991 / +* + EPS = SLAMCH( 'Epsilon' ) + K = MIN(M,N) + LL = MAX(M,N) + LWORK = MAX(2,LL)*MAX(2,LL)*NB +* +* Dynamically allocate local arrays +* + ALLOCATE ( A(M,N), AF(M,N), Q(N,N), L(LL,N), RWORK(LL), + $ WORK(LWORK), T(NB,N), C(M,N), CF(M,N), + $ D(N,M), DF(N,M) ) +* +* Put random numbers into A and copy to AF +* + LDT=NB + DO J=1,N + CALL SLARNV( 2, ISEED, M, A( 1, J ) ) + END DO + CALL SLACPY( 'Full', M, N, A, M, AF, M ) +* +* Factor the matrix A in the array AF. +* + CALL SGELQT( M, N, NB, AF, M, T, LDT, WORK, INFO ) +* +* Generate the n-by-n matrix Q +* + CALL SLASET( 'Full', N, N, ZERO, ONE, Q, N ) + CALL SGEMLQT( 'R', 'N', N, N, K, NB, AF, M, T, LDT, Q, N, + $ WORK, INFO ) +* +* Copy R +* + CALL SLASET( 'Full', M, N, ZERO, ZERO, L, LL ) + CALL SLACPY( 'Lower', M, N, AF, M, L, LL ) +* +* Compute |L - A*Q'| / |A| and store in RESULT(1) +* + CALL SGEMM( 'N', 'T', M, N, N, -ONE, A, M, Q, N, ONE, L, LL ) + ANORM = SLANGE( '1', M, N, A, M, RWORK ) + RESID = SLANGE( '1', M, N, L, LL, RWORK ) + IF( ANORM.GT.ZERO ) THEN + RESULT( 1 ) = RESID / (EPS*MAX(1,M)*ANORM) + ELSE + RESULT( 1 ) = ZERO + END IF +* +* Compute |I - Q'*Q| and store in RESULT(2) +* + CALL SLASET( 'Full', N, N, ZERO, ONE, L, LL ) + CALL SSYRK( 'U', 'C', N, N, -ONE, Q, N, ONE, L, LL ) + RESID = SLANSY( '1', 'Upper', N, L, LL, RWORK ) + RESULT( 2 ) = RESID / (EPS*MAX(1,N)) +* +* Generate random m-by-n matrix C and a copy CF +* + DO J=1,M + CALL SLARNV( 2, ISEED, N, D( 1, J ) ) + END DO + DNORM = SLANGE( '1', N, M, D, N, RWORK) + CALL SLACPY( 'Full', N, M, D, N, DF, N ) +* +* Apply Q to C as Q*C +* + CALL SGEMLQT( 'L', 'N', N, M, K, NB, AF, M, T, NB, DF, N, + $ WORK, INFO) +* +* Compute |Q*D - Q*D| / |D| +* + CALL SGEMM( 'N', 'N', N, M, N, -ONE, Q, N, D, N, ONE, DF, N ) + RESID = SLANGE( '1', N, M, DF, N, RWORK ) + IF( DNORM.GT.ZERO ) THEN + RESULT( 3 ) = RESID / (EPS*MAX(1,M)*DNORM) + ELSE + RESULT( 3 ) = ZERO + END IF +* +* Copy D into DF again +* + CALL SLACPY( 'Full', N, M, D, N, DF, N ) +* +* Apply Q to D as QT*D +* + CALL SGEMLQT( 'L', 'T', N, M, K, NB, AF, M, T, NB, DF, N, + $ WORK, INFO) +* +* Compute |QT*D - QT*D| / |D| +* + CALL SGEMM( 'T', 'N', N, M, N, -ONE, Q, N, D, N, ONE, DF, N ) + RESID = SLANGE( '1', N, M, DF, N, RWORK ) + IF( DNORM.GT.ZERO ) THEN + RESULT( 4 ) = RESID / (EPS*MAX(1,M)*DNORM) + ELSE + RESULT( 4 ) = ZERO + END IF +* +* Generate random n-by-m matrix D and a copy DF +* + DO J=1,N + CALL SLARNV( 2, ISEED, M, C( 1, J ) ) + END DO + CNORM = SLANGE( '1', M, N, C, M, RWORK) + CALL SLACPY( 'Full', M, N, C, M, CF, M ) +* +* Apply Q to C as C*Q +* + CALL SGEMLQT( 'R', 'N', M, N, K, NB, AF, M, T, NB, CF, M, + $ WORK, INFO) +* +* Compute |C*Q - C*Q| / |C| +* + CALL SGEMM( 'N', 'N', M, N, N, -ONE, C, M, Q, N, ONE, CF, M ) + RESID = SLANGE( '1', N, M, DF, N, RWORK ) + IF( CNORM.GT.ZERO ) THEN + RESULT( 5 ) = RESID / (EPS*MAX(1,M)*DNORM) + ELSE + RESULT( 5 ) = ZERO + END IF +* +* Copy C into CF again +* + CALL SLACPY( 'Full', M, N, C, M, CF, M ) +* +* Apply Q to D as D*QT +* + CALL SGEMLQT( 'R', 'T', M, N, K, NB, AF, M, T, NB, CF, M, + $ WORK, INFO) +* +* Compute |C*QT - C*QT| / |C| +* + CALL SGEMM( 'N', 'T', M, N, N, -ONE, C, M, Q, N, ONE, CF, M ) + RESID = SLANGE( '1', M, N, CF, M, RWORK ) + IF( CNORM.GT.ZERO ) THEN + RESULT( 6 ) = RESID / (EPS*MAX(1,M)*DNORM) + ELSE + RESULT( 6 ) = ZERO + END IF +* +* Deallocate all arrays +* + DEALLOCATE ( A, AF, Q, L, RWORK, WORK, T, C, D, CF, DF) +* + RETURN + END + |