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183 lines
4.6 KiB
183 lines
4.6 KiB
2 years ago
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*> \brief \b CLACRM multiplies a complex matrix by a square real matrix.
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*
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* =========== DOCUMENTATION ===========
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*
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* Online html documentation available at
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* http://www.netlib.org/lapack/explore-html/
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*
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*> \htmlonly
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*> Download CLACRM + dependencies
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*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/clacrm.f">
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*> [TGZ]</a>
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*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/clacrm.f">
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*> [ZIP]</a>
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*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/clacrm.f">
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*> [TXT]</a>
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*> \endhtmlonly
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*
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* Definition:
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* ===========
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*
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* SUBROUTINE CLACRM( M, N, A, LDA, B, LDB, C, LDC, RWORK )
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*
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* .. Scalar Arguments ..
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* INTEGER LDA, LDB, LDC, M, N
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* ..
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* .. Array Arguments ..
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* REAL B( LDB, * ), RWORK( * )
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* COMPLEX A( LDA, * ), C( LDC, * )
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* ..
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*
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*
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*> \par Purpose:
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* =============
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*>
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*> \verbatim
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*>
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*> CLACRM performs a very simple matrix-matrix multiplication:
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*> C := A * B,
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*> where A is M by N and complex; B is N by N and real;
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*> C is M by N and complex.
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*> \endverbatim
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*
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* Arguments:
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* ==========
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*
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*> \param[in] M
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*> \verbatim
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*> M is INTEGER
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*> The number of rows of the matrix A and of the matrix C.
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*> M >= 0.
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*> \endverbatim
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*>
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*> \param[in] N
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*> \verbatim
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*> N is INTEGER
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*> The number of columns and rows of the matrix B and
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*> the number of columns of the matrix C.
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*> N >= 0.
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*> \endverbatim
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*>
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*> \param[in] A
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*> \verbatim
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*> A is COMPLEX array, dimension (LDA, N)
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*> On entry, A contains the M by N matrix A.
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*> \endverbatim
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*>
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*> \param[in] LDA
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*> \verbatim
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*> LDA is INTEGER
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*> The leading dimension of the array A. LDA >=max(1,M).
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*> \endverbatim
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*>
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*> \param[in] B
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*> \verbatim
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*> B is REAL array, dimension (LDB, N)
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*> On entry, B contains the N by N matrix B.
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*> \endverbatim
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*>
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*> \param[in] LDB
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*> \verbatim
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*> LDB is INTEGER
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*> The leading dimension of the array B. LDB >=max(1,N).
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*> \endverbatim
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*>
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*> \param[out] C
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*> \verbatim
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*> C is COMPLEX array, dimension (LDC, N)
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*> On exit, C contains the M by N matrix C.
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*> \endverbatim
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*>
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*> \param[in] LDC
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*> \verbatim
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*> LDC is INTEGER
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*> The leading dimension of the array C. LDC >=max(1,N).
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*> \endverbatim
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*>
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*> \param[out] RWORK
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*> \verbatim
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*> RWORK is REAL array, dimension (2*M*N)
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*> \endverbatim
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*
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* Authors:
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* ========
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*
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*> \author Univ. of Tennessee
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*> \author Univ. of California Berkeley
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*> \author Univ. of Colorado Denver
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*> \author NAG Ltd.
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*
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*> \ingroup complexOTHERauxiliary
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*
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* =====================================================================
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SUBROUTINE CLACRM( M, N, A, LDA, B, LDB, C, LDC, RWORK )
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*
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* -- LAPACK auxiliary routine --
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* -- LAPACK is a software package provided by Univ. of Tennessee, --
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* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
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*
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* .. Scalar Arguments ..
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INTEGER LDA, LDB, LDC, M, N
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* ..
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* .. Array Arguments ..
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REAL B( LDB, * ), RWORK( * )
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COMPLEX A( LDA, * ), C( LDC, * )
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* ..
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*
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* =====================================================================
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*
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* .. Parameters ..
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REAL ONE, ZERO
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PARAMETER ( ONE = 1.0E0, ZERO = 0.0E0 )
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* ..
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* .. Local Scalars ..
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INTEGER I, J, L
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* ..
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* .. Intrinsic Functions ..
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INTRINSIC AIMAG, CMPLX, REAL
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* ..
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* .. External Subroutines ..
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EXTERNAL SGEMM
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* ..
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* .. Executable Statements ..
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*
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* Quick return if possible.
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*
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IF( ( M.EQ.0 ) .OR. ( N.EQ.0 ) )
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$ RETURN
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*
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DO 20 J = 1, N
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DO 10 I = 1, M
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RWORK( ( J-1 )*M+I ) = REAL( A( I, J ) )
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10 CONTINUE
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20 CONTINUE
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*
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L = M*N + 1
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CALL SGEMM( 'N', 'N', M, N, N, ONE, RWORK, M, B, LDB, ZERO,
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$ RWORK( L ), M )
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DO 40 J = 1, N
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DO 30 I = 1, M
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C( I, J ) = RWORK( L+( J-1 )*M+I-1 )
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30 CONTINUE
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40 CONTINUE
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*
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DO 60 J = 1, N
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DO 50 I = 1, M
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RWORK( ( J-1 )*M+I ) = AIMAG( A( I, J ) )
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50 CONTINUE
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60 CONTINUE
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CALL SGEMM( 'N', 'N', M, N, N, ONE, RWORK, M, B, LDB, ZERO,
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$ RWORK( L ), M )
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DO 80 J = 1, N
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DO 70 I = 1, M
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C( I, J ) = CMPLX( REAL( C( I, J ) ),
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$ RWORK( L+( J-1 )*M+I-1 ) )
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70 CONTINUE
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80 CONTINUE
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*
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RETURN
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*
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* End of CLACRM
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*
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END
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