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Diffstat (limited to 'TESTING/LIN/zqrt04.f')
| -rw-r--r-- | TESTING/LIN/zqrt04.f | 214 |
1 files changed, 214 insertions, 0 deletions
diff --git a/TESTING/LIN/zqrt04.f b/TESTING/LIN/zqrt04.f new file mode 100644 index 00000000..6cfc3544 --- /dev/null +++ b/TESTING/LIN/zqrt04.f @@ -0,0 +1,214 @@ + SUBROUTINE ZQRT04(M,N,NB,RESULT) +* +* -- LAPACK test routine (version 3.?) -- +* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. +* August 2011 +* + IMPLICIT NONE +* .. Scalar Arguments .. + INTEGER LWORK, M, N, NB, LDT +* .. Return values .. + DOUBLE PRECISION RESULT(6) +* +* Purpose +* ======= +* +* ZQRT04 tests ZGEQRT and ZGEMQRT. +* +* Arguments +* ========= +* +* M (input) INTEGER +* Number of rows in test matrix. +* +* N (input) INTEGER +* Number of columns in test matrix. +* +* NB (input) INTEGER +* Block size of test matrix. NB <= Min(M,N). +* +* RESULT (output) 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 | +* +* ===================================================================== +* +* .. +* .. Local allocatable arrays + COMPLEX*16, ALLOCATABLE :: AF(:,:), Q(:,:), + $ R(:,:), RWORK(:), WORK( : ), T(:,:), + $ CF(:,:), DF(:,:), A(:,:), C(:,:), D(:,:) +* +* .. Parameters .. + DOUBLE PRECISION ZERO + COMPLEX*16 ONE, CZERO + PARAMETER( ZERO = 0.0, ONE = (1.0,0.0), CZERO=(0.0,0.0) ) +* .. +* .. Local Scalars .. + INTEGER INFO, J, K, L + DOUBLE PRECISION ANORM, EPS, RESID, CNORM, DNORM +* .. +* .. Local Arrays .. + INTEGER ISEED( 4 ) +* .. +* .. External Functions .. + DOUBLE PRECISION DLAMCH + DOUBLE PRECISION ZLANGE, ZLANSY + LOGICAL LSAME + EXTERNAL DLAMCH, ZLANGE, ZLANSY, LSAME +* .. +* .. Intrinsic Functions .. + INTRINSIC MAX, MIN +* .. +* .. Data statements .. + DATA ISEED / 1988, 1989, 1990, 1991 / +* + EPS = DLAMCH( 'Epsilon' ) + K = MIN(M,N) + L = MAX(M,N) + LWORK = MAX(2,L)*MAX(2,L)*NB +* +* Dynamically allocate local arrays +* + ALLOCATE ( A(M,N), AF(M,N), Q(M,M), R(M,L), RWORK(L), + $ 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 ZLARNV( 2, ISEED, M, A( 1, J ) ) + END DO + CALL ZLACPY( 'Full', M, N, A, M, AF, M ) +* +* Factor the matrix A in the array AF. +* + CALL ZGEQRT( M, N, NB, AF, M, T, LDT, WORK, INFO ) +* +* Generate the m-by-m matrix Q +* + CALL ZLASET( 'Full', M, M, CZERO, ONE, Q, M ) + CALL ZGEMQRT( 'R', 'N', M, M, K, NB, AF, M, T, LDT, Q, M, + $ WORK, INFO ) +* +* Copy R +* + CALL ZLASET( 'Full', M, N, CZERO, CZERO, R, M ) + CALL ZLACPY( 'Upper', M, N, AF, M, R, M ) +* +* Compute |R - Q'*A| / |A| and store in RESULT(1) +* + CALL ZGEMM( 'C', 'N', M, N, M, -ONE, Q, M, A, M, ONE, R, M ) + ANORM = ZLANGE( '1', M, N, A, M, RWORK ) + RESID = ZLANGE( '1', M, N, R, M, 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 ZLASET( 'Full', M, M, CZERO, ONE, R, M ) + CALL ZHERK( 'U', 'C', M, M, DREAL(-ONE), Q, M, DREAL(ONE), R, M ) + RESID = ZLANSY( '1', 'Upper', M, R, M, RWORK ) + RESULT( 2 ) = RESID / (EPS*MAX(1,M)) +* +* Generate random m-by-n matrix C and a copy CF +* + DO J=1,N + CALL ZLARNV( 2, ISEED, M, C( 1, J ) ) + END DO + CNORM = ZLANGE( '1', M, N, C, M, RWORK) + CALL ZLACPY( 'Full', M, N, C, M, CF, M ) +* +* Apply Q to C as Q*C +* + CALL ZGEMQRT( 'L', 'N', M, N, K, NB, AF, M, T, NB, CF, M, + $ WORK, LWORK, INFO) +* +* Compute |Q*C - Q*C| / |C| +* + CALL ZGEMM( 'N', 'N', M, N, M, -ONE, Q, M, C, M, ONE, CF, M ) + RESID = ZLANGE( '1', M, N, CF, M, RWORK ) + IF( CNORM.GT.ZERO ) THEN + RESULT( 3 ) = RESID / (EPS*MAX(1,M)*CNORM) + ELSE + RESULT( 3 ) = ZERO + END IF +* +* Copy C into CF again +* + CALL ZLACPY( 'Full', M, N, C, M, CF, M ) +* +* Apply Q to C as QT*C +* + CALL ZGEMQRT( 'L', 'C', M, N, K, NB, AF, M, T, NB, CF, M, + $ WORK, LWORK, INFO) +* +* Compute |QT*C - QT*C| / |C| +* + CALL ZGEMM( 'C', 'N', M, N, M, -ONE, Q, M, C, M, ONE, CF, M ) + RESID = ZLANGE( '1', M, N, CF, M, RWORK ) + IF( CNORM.GT.ZERO ) THEN + RESULT( 4 ) = RESID / (EPS*MAX(1,M)*CNORM) + ELSE + RESULT( 4 ) = ZERO + END IF +* +* Generate random n-by-m matrix D and a copy DF +* + DO J=1,M + CALL ZLARNV( 2, ISEED, N, D( 1, J ) ) + END DO + DNORM = ZLANGE( '1', N, M, D, N, RWORK) + CALL ZLACPY( 'Full', N, M, D, N, DF, N ) +* +* Apply Q to D as D*Q +* + CALL ZGEMQRT( 'R', 'N', N, M, K, NB, AF, M, T, NB, DF, N, + $ WORK, LWORK, INFO) +* +* Compute |D*Q - D*Q| / |D| +* + CALL ZGEMM( 'N', 'N', N, M, M, -ONE, D, N, Q, M, ONE, DF, N ) + RESID = ZLANGE( '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 D into DF again +* + CALL ZLACPY( 'Full', N, M, D, N, DF, N ) +* +* Apply Q to D as D*QT +* + CALL ZGEMQRT( 'R', 'C', N, M, K, NB, AF, M, T, NB, DF, N, + $ WORK, LWORK, INFO) +* +* Compute |D*QT - D*QT| / |D| +* + CALL ZGEMM( 'N', 'C', N, M, M, -ONE, D, N, Q, M, ONE, DF, N ) + RESID = ZLANGE( '1', N, M, DF, N, 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, R, RWORK, WORK, T, C, D, CF, DF) +* + RETURN + END + |