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*> \brief \b CLARCM
*
* =========== DOCUMENTATION ===========
*
* Online html documentation available at
* http://www.netlib.org/lapack/explore-html/
*
* Definition
* ==========
*
* SUBROUTINE CLARCM( M, N, A, LDA, B, LDB, C, LDC, RWORK )
*
* .. Scalar Arguments ..
* INTEGER LDA, LDB, LDC, M, N
* ..
* .. Array Arguments ..
* REAL A( LDA, * ), RWORK( * )
* COMPLEX B( LDB, * ), C( LDC, * )
* ..
*
* Purpose
* =======
*
*>\details \b Purpose:
*>\verbatim
*>
*> CLARCM performs a very simple matrix-matrix multiplication:
*> C := A * B,
*> where A is M by M and real; B is M by N and complex;
*> C is M by N and complex.
*>
*>\endverbatim
*
* Arguments
* =========
*
*> \param[in] M
*> \verbatim
*> M is INTEGER
*> The number of rows of the matrix A and of the matrix C.
*> M >= 0.
*> \endverbatim
*>
*> \param[in] N
*> \verbatim
*> N is INTEGER
*> The number of columns and rows of the matrix B and
*> the number of columns of the matrix C.
*> N >= 0.
*> \endverbatim
*>
*> \param[in] A
*> \verbatim
*> A is REAL array, dimension (LDA, M)
*> A contains the M by M matrix A.
*> \endverbatim
*>
*> \param[in] LDA
*> \verbatim
*> LDA is INTEGER
*> The leading dimension of the array A. LDA >=max(1,M).
*> \endverbatim
*>
*> \param[in] B
*> \verbatim
*> B is REAL array, dimension (LDB, N)
*> B contains the M by N matrix B.
*> \endverbatim
*>
*> \param[in] LDB
*> \verbatim
*> LDB is INTEGER
*> The leading dimension of the array B. LDB >=max(1,M).
*> \endverbatim
*>
*> \param[in] C
*> \verbatim
*> C is COMPLEX array, dimension (LDC, N)
*> C contains the M by N matrix C.
*> \endverbatim
*>
*> \param[in] LDC
*> \verbatim
*> LDC is INTEGER
*> The leading dimension of the array C. LDC >=max(1,M).
*> \endverbatim
*>
*> \param[out] RWORK
*> \verbatim
*> RWORK is REAL array, dimension (2*M*N)
*> \endverbatim
*>
*
* Authors
* =======
*
*> \author Univ. of Tennessee
*> \author Univ. of California Berkeley
*> \author Univ. of Colorado Denver
*> \author NAG Ltd.
*
*> \date November 2011
*
*> \ingroup complexOTHERauxiliary
*
* =====================================================================
SUBROUTINE CLARCM( M, N, A, LDA, B, LDB, C, LDC, RWORK )
*
* -- LAPACK auxiliary routine (version 3.2) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
* November 2011
*
* .. Scalar Arguments ..
INTEGER LDA, LDB, LDC, M, N
* ..
* .. Array Arguments ..
REAL A( LDA, * ), RWORK( * )
COMPLEX B( LDB, * ), C( LDC, * )
* ..
*
* =====================================================================
*
* .. Parameters ..
REAL ONE, ZERO
PARAMETER ( ONE = 1.0E0, ZERO = 0.0E0 )
* ..
* .. Local Scalars ..
INTEGER I, J, L
* ..
* .. Intrinsic Functions ..
INTRINSIC AIMAG, CMPLX, REAL
* ..
* .. External Subroutines ..
EXTERNAL SGEMM
* ..
* .. Executable Statements ..
*
* Quick return if possible.
*
IF( ( M.EQ.0 ) .OR. ( N.EQ.0 ) )
$ RETURN
*
DO 20 J = 1, N
DO 10 I = 1, M
RWORK( ( J-1 )*M+I ) = REAL( B( I, J ) )
10 CONTINUE
20 CONTINUE
*
L = M*N + 1
CALL SGEMM( 'N', 'N', M, N, M, ONE, A, LDA, RWORK, M, ZERO,
$ RWORK( L ), M )
DO 40 J = 1, N
DO 30 I = 1, M
C( I, J ) = RWORK( L+( J-1 )*M+I-1 )
30 CONTINUE
40 CONTINUE
*
DO 60 J = 1, N
DO 50 I = 1, M
RWORK( ( J-1 )*M+I ) = AIMAG( B( I, J ) )
50 CONTINUE
60 CONTINUE
CALL SGEMM( 'N', 'N', M, N, M, ONE, A, LDA, RWORK, M, ZERO,
$ RWORK( L ), M )
DO 80 J = 1, N
DO 70 I = 1, M
C( I, J ) = CMPLX( REAL( C( I, J ) ),
$ RWORK( L+( J-1 )*M+I-1 ) )
70 CONTINUE
80 CONTINUE
*
RETURN
*
* End of CLARCM
*
END
|
