removed lapack 3.6.0
This commit is contained in:
Werner Saar
@@ -1,265 +0,0 @@
|
||||
*> \brief \b CQRT03
|
||||
*
|
||||
* =========== DOCUMENTATION ===========
|
||||
*
|
||||
* Online html documentation available at
|
||||
* http://www.netlib.org/lapack/explore-html/
|
||||
*
|
||||
* Definition:
|
||||
* ===========
|
||||
*
|
||||
* SUBROUTINE CQRT03( M, N, K, AF, C, CC, Q, LDA, TAU, WORK, LWORK,
|
||||
* RWORK, RESULT )
|
||||
*
|
||||
* .. Scalar Arguments ..
|
||||
* INTEGER K, LDA, LWORK, M, N
|
||||
* ..
|
||||
* .. Array Arguments ..
|
||||
* REAL RESULT( * ), RWORK( * )
|
||||
* COMPLEX AF( LDA, * ), C( LDA, * ), CC( LDA, * ),
|
||||
* $ Q( LDA, * ), TAU( * ), WORK( LWORK )
|
||||
* ..
|
||||
*
|
||||
*
|
||||
*> \par Purpose:
|
||||
* =============
|
||||
*>
|
||||
*> \verbatim
|
||||
*>
|
||||
*> CQRT03 tests CUNMQR, which computes Q*C, Q'*C, C*Q or C*Q'.
|
||||
*>
|
||||
*> CQRT03 compares the results of a call to CUNMQR with the results of
|
||||
*> forming Q explicitly by a call to CUNGQR and then performing matrix
|
||||
*> multiplication by a call to CGEMM.
|
||||
*> \endverbatim
|
||||
*
|
||||
* Arguments:
|
||||
* ==========
|
||||
*
|
||||
*> \param[in] M
|
||||
*> \verbatim
|
||||
*> M is INTEGER
|
||||
*> The order of the orthogonal matrix Q. M >= 0.
|
||||
*> \endverbatim
|
||||
*>
|
||||
*> \param[in] N
|
||||
*> \verbatim
|
||||
*> N is INTEGER
|
||||
*> The number of rows or columns of the matrix C; C is m-by-n if
|
||||
*> Q is applied from the left, or n-by-m if Q is applied from
|
||||
*> the right. N >= 0.
|
||||
*> \endverbatim
|
||||
*>
|
||||
*> \param[in] K
|
||||
*> \verbatim
|
||||
*> K is INTEGER
|
||||
*> The number of elementary reflectors whose product defines the
|
||||
*> orthogonal matrix Q. M >= K >= 0.
|
||||
*> \endverbatim
|
||||
*>
|
||||
*> \param[in] AF
|
||||
*> \verbatim
|
||||
*> AF is COMPLEX array, dimension (LDA,N)
|
||||
*> Details of the QR factorization of an m-by-n matrix, as
|
||||
*> returned by CGEQRF. See CGEQRF for further details.
|
||||
*> \endverbatim
|
||||
*>
|
||||
*> \param[out] C
|
||||
*> \verbatim
|
||||
*> C is COMPLEX array, dimension (LDA,N)
|
||||
*> \endverbatim
|
||||
*>
|
||||
*> \param[out] CC
|
||||
*> \verbatim
|
||||
*> CC is COMPLEX array, dimension (LDA,N)
|
||||
*> \endverbatim
|
||||
*>
|
||||
*> \param[out] Q
|
||||
*> \verbatim
|
||||
*> Q is COMPLEX array, dimension (LDA,M)
|
||||
*> \endverbatim
|
||||
*>
|
||||
*> \param[in] LDA
|
||||
*> \verbatim
|
||||
*> LDA is INTEGER
|
||||
*> The leading dimension of the arrays AF, C, CC, and Q.
|
||||
*> \endverbatim
|
||||
*>
|
||||
*> \param[in] TAU
|
||||
*> \verbatim
|
||||
*> TAU is COMPLEX array, dimension (min(M,N))
|
||||
*> The scalar factors of the elementary reflectors corresponding
|
||||
*> to the QR factorization in AF.
|
||||
*> \endverbatim
|
||||
*>
|
||||
*> \param[out] WORK
|
||||
*> \verbatim
|
||||
*> WORK is COMPLEX array, dimension (LWORK)
|
||||
*> \endverbatim
|
||||
*>
|
||||
*> \param[in] LWORK
|
||||
*> \verbatim
|
||||
*> LWORK is INTEGER
|
||||
*> The length of WORK. LWORK must be at least M, and should be
|
||||
*> M*NB, where NB is the blocksize for this environment.
|
||||
*> \endverbatim
|
||||
*>
|
||||
*> \param[out] RWORK
|
||||
*> \verbatim
|
||||
*> RWORK is REAL array, dimension (M)
|
||||
*> \endverbatim
|
||||
*>
|
||||
*> \param[out] RESULT
|
||||
*> \verbatim
|
||||
*> RESULT is REAL array, dimension (4)
|
||||
*> The test ratios compare two techniques for multiplying a
|
||||
*> random matrix C by an m-by-m orthogonal matrix Q.
|
||||
*> RESULT(1) = norm( Q*C - Q*C ) / ( M * norm(C) * EPS )
|
||||
*> RESULT(2) = norm( C*Q - C*Q ) / ( M * norm(C) * EPS )
|
||||
*> RESULT(3) = norm( Q'*C - Q'*C )/ ( M * norm(C) * EPS )
|
||||
*> RESULT(4) = norm( C*Q' - C*Q' )/ ( M * norm(C) * EPS )
|
||||
*> \endverbatim
|
||||
*
|
||||
* Authors:
|
||||
* ========
|
||||
*
|
||||
*> \author Univ. of Tennessee
|
||||
*> \author Univ. of California Berkeley
|
||||
*> \author Univ. of Colorado Denver
|
||||
*> \author NAG Ltd.
|
||||
*
|
||||
*> \date November 2015
|
||||
*
|
||||
*> \ingroup complex_lin
|
||||
*
|
||||
* =====================================================================
|
||||
SUBROUTINE CQRT03( M, N, K, AF, C, CC, Q, LDA, TAU, WORK, LWORK,
|
||||
$ RWORK, RESULT )
|
||||
*
|
||||
* -- LAPACK test routine (version 3.6.0) --
|
||||
* -- LAPACK is a software package provided by Univ. of Tennessee, --
|
||||
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
|
||||
* November 2015
|
||||
*
|
||||
* .. Scalar Arguments ..
|
||||
INTEGER K, LDA, LWORK, M, N
|
||||
* ..
|
||||
* .. Array Arguments ..
|
||||
REAL RESULT( * ), RWORK( * )
|
||||
COMPLEX AF( LDA, * ), C( LDA, * ), CC( LDA, * ),
|
||||
$ Q( LDA, * ), TAU( * ), WORK( LWORK )
|
||||
* ..
|
||||
*
|
||||
* =====================================================================
|
||||
*
|
||||
* .. Parameters ..
|
||||
REAL ZERO, ONE
|
||||
PARAMETER ( ZERO = 0.0E+0, ONE = 1.0E+0 )
|
||||
COMPLEX ROGUE
|
||||
PARAMETER ( ROGUE = ( -1.0E+10, -1.0E+10 ) )
|
||||
* ..
|
||||
* .. Local Scalars ..
|
||||
CHARACTER SIDE, TRANS
|
||||
INTEGER INFO, ISIDE, ITRANS, J, MC, NC
|
||||
REAL CNORM, EPS, RESID
|
||||
* ..
|
||||
* .. External Functions ..
|
||||
LOGICAL LSAME
|
||||
REAL CLANGE, SLAMCH
|
||||
EXTERNAL LSAME, CLANGE, SLAMCH
|
||||
* ..
|
||||
* .. External Subroutines ..
|
||||
EXTERNAL CGEMM, CLACPY, CLARNV, CLASET, CUNGQR, CUNMQR
|
||||
* ..
|
||||
* .. Local Arrays ..
|
||||
INTEGER ISEED( 4 )
|
||||
* ..
|
||||
* .. Intrinsic Functions ..
|
||||
INTRINSIC CMPLX, MAX, REAL
|
||||
* ..
|
||||
* .. Scalars in Common ..
|
||||
CHARACTER*32 SRNAMT
|
||||
* ..
|
||||
* .. Common blocks ..
|
||||
COMMON / SRNAMC / SRNAMT
|
||||
* ..
|
||||
* .. Data statements ..
|
||||
DATA ISEED / 1988, 1989, 1990, 1991 /
|
||||
* ..
|
||||
* .. Executable Statements ..
|
||||
*
|
||||
EPS = SLAMCH( 'Epsilon' )
|
||||
*
|
||||
* Copy the first k columns of the factorization to the array Q
|
||||
*
|
||||
CALL CLASET( 'Full', M, M, ROGUE, ROGUE, Q, LDA )
|
||||
CALL CLACPY( 'Lower', M-1, K, AF( 2, 1 ), LDA, Q( 2, 1 ), LDA )
|
||||
*
|
||||
* Generate the m-by-m matrix Q
|
||||
*
|
||||
SRNAMT = 'CUNGQR'
|
||||
CALL CUNGQR( M, M, K, Q, LDA, TAU, WORK, LWORK, INFO )
|
||||
*
|
||||
DO 30 ISIDE = 1, 2
|
||||
IF( ISIDE.EQ.1 ) THEN
|
||||
SIDE = 'L'
|
||||
MC = M
|
||||
NC = N
|
||||
ELSE
|
||||
SIDE = 'R'
|
||||
MC = N
|
||||
NC = M
|
||||
END IF
|
||||
*
|
||||
* Generate MC by NC matrix C
|
||||
*
|
||||
DO 10 J = 1, NC
|
||||
CALL CLARNV( 2, ISEED, MC, C( 1, J ) )
|
||||
10 CONTINUE
|
||||
CNORM = CLANGE( '1', MC, NC, C, LDA, RWORK )
|
||||
IF( CNORM.EQ.ZERO )
|
||||
$ CNORM = ONE
|
||||
*
|
||||
DO 20 ITRANS = 1, 2
|
||||
IF( ITRANS.EQ.1 ) THEN
|
||||
TRANS = 'N'
|
||||
ELSE
|
||||
TRANS = 'C'
|
||||
END IF
|
||||
*
|
||||
* Copy C
|
||||
*
|
||||
CALL CLACPY( 'Full', MC, NC, C, LDA, CC, LDA )
|
||||
*
|
||||
* Apply Q or Q' to C
|
||||
*
|
||||
SRNAMT = 'CUNMQR'
|
||||
CALL CUNMQR( SIDE, TRANS, MC, NC, K, AF, LDA, TAU, CC, LDA,
|
||||
$ WORK, LWORK, INFO )
|
||||
*
|
||||
* Form explicit product and subtract
|
||||
*
|
||||
IF( LSAME( SIDE, 'L' ) ) THEN
|
||||
CALL CGEMM( TRANS, 'No transpose', MC, NC, MC,
|
||||
$ CMPLX( -ONE ), Q, LDA, C, LDA, CMPLX( ONE ),
|
||||
$ CC, LDA )
|
||||
ELSE
|
||||
CALL CGEMM( 'No transpose', TRANS, MC, NC, NC,
|
||||
$ CMPLX( -ONE ), C, LDA, Q, LDA, CMPLX( ONE ),
|
||||
$ CC, LDA )
|
||||
END IF
|
||||
*
|
||||
* Compute error in the difference
|
||||
*
|
||||
RESID = CLANGE( '1', MC, NC, CC, LDA, RWORK )
|
||||
RESULT( ( ISIDE-1 )*2+ITRANS ) = RESID /
|
||||
$ ( REAL( MAX( 1, M ) )*CNORM*EPS )
|
||||
*
|
||||
20 CONTINUE
|
||||
30 CONTINUE
|
||||
*
|
||||
RETURN
|
||||
*
|
||||
* End of CQRT03
|
||||
*
|
||||
END
|
||||
Reference in New Issue
Block a user