File:  [local] / rpl / lapack / lapack / zlarcm.f
Revision 1.19: download - view: text, annotated - select for diffs - revision graph
Mon Aug 7 08:39:31 2023 UTC (8 months, 3 weeks ago) by bertrand
Branches: MAIN
CVS tags: rpl-4_1_35, rpl-4_1_34, HEAD
Première mise à jour de lapack et blas.

    1: *> \brief \b ZLARCM copies all or part of a real two-dimensional array to a complex array.
    2: *
    3: *  =========== DOCUMENTATION ===========
    4: *
    5: * Online html documentation available at
    6: *            http://www.netlib.org/lapack/explore-html/
    7: *
    8: *> \htmlonly
    9: *> Download ZLARCM + dependencies
   10: *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlarcm.f">
   11: *> [TGZ]</a>
   12: *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlarcm.f">
   13: *> [ZIP]</a>
   14: *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlarcm.f">
   15: *> [TXT]</a>
   16: *> \endhtmlonly
   17: *
   18: *  Definition:
   19: *  ===========
   20: *
   21: *       SUBROUTINE ZLARCM( M, N, A, LDA, B, LDB, C, LDC, RWORK )
   22: *
   23: *       .. Scalar Arguments ..
   24: *       INTEGER            LDA, LDB, LDC, M, N
   25: *       ..
   26: *       .. Array Arguments ..
   27: *       DOUBLE PRECISION   A( LDA, * ), RWORK( * )
   28: *       COMPLEX*16         B( LDB, * ), C( LDC, * )
   29: *       ..
   30: *
   31: *
   32: *> \par Purpose:
   33: *  =============
   34: *>
   35: *> \verbatim
   36: *>
   37: *> ZLARCM performs a very simple matrix-matrix multiplication:
   38: *>          C := A * B,
   39: *> where A is M by M and real; B is M by N and complex;
   40: *> C is M by N and complex.
   41: *> \endverbatim
   42: *
   43: *  Arguments:
   44: *  ==========
   45: *
   46: *> \param[in] M
   47: *> \verbatim
   48: *>          M is INTEGER
   49: *>          The number of rows of the matrix A and of the matrix C.
   50: *>          M >= 0.
   51: *> \endverbatim
   52: *>
   53: *> \param[in] N
   54: *> \verbatim
   55: *>          N is INTEGER
   56: *>          The number of columns and rows of the matrix B and
   57: *>          the number of columns of the matrix C.
   58: *>          N >= 0.
   59: *> \endverbatim
   60: *>
   61: *> \param[in] A
   62: *> \verbatim
   63: *>          A is DOUBLE PRECISION array, dimension (LDA, M)
   64: *>          On entry, A contains the M by M matrix A.
   65: *> \endverbatim
   66: *>
   67: *> \param[in] LDA
   68: *> \verbatim
   69: *>          LDA is INTEGER
   70: *>          The leading dimension of the array A. LDA >=max(1,M).
   71: *> \endverbatim
   72: *>
   73: *> \param[in] B
   74: *> \verbatim
   75: *>          B is COMPLEX*16 array, dimension (LDB, N)
   76: *>          On entry, B contains the M by N matrix B.
   77: *> \endverbatim
   78: *>
   79: *> \param[in] LDB
   80: *> \verbatim
   81: *>          LDB is INTEGER
   82: *>          The leading dimension of the array B. LDB >=max(1,M).
   83: *> \endverbatim
   84: *>
   85: *> \param[out] C
   86: *> \verbatim
   87: *>          C is COMPLEX*16 array, dimension (LDC, N)
   88: *>          On exit, C contains the M by N matrix C.
   89: *> \endverbatim
   90: *>
   91: *> \param[in] LDC
   92: *> \verbatim
   93: *>          LDC is INTEGER
   94: *>          The leading dimension of the array C. LDC >=max(1,M).
   95: *> \endverbatim
   96: *>
   97: *> \param[out] RWORK
   98: *> \verbatim
   99: *>          RWORK is DOUBLE PRECISION array, dimension (2*M*N)
  100: *> \endverbatim
  101: *
  102: *  Authors:
  103: *  ========
  104: *
  105: *> \author Univ. of Tennessee
  106: *> \author Univ. of California Berkeley
  107: *> \author Univ. of Colorado Denver
  108: *> \author NAG Ltd.
  109: *
  110: *> \ingroup complex16OTHERauxiliary
  111: *
  112: *  =====================================================================
  113:       SUBROUTINE ZLARCM( M, N, A, LDA, B, LDB, C, LDC, RWORK )
  114: *
  115: *  -- LAPACK auxiliary routine --
  116: *  -- LAPACK is a software package provided by Univ. of Tennessee,    --
  117: *  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
  118: *
  119: *     .. Scalar Arguments ..
  120:       INTEGER            LDA, LDB, LDC, M, N
  121: *     ..
  122: *     .. Array Arguments ..
  123:       DOUBLE PRECISION   A( LDA, * ), RWORK( * )
  124:       COMPLEX*16         B( LDB, * ), C( LDC, * )
  125: *     ..
  126: *
  127: *  =====================================================================
  128: *
  129: *     .. Parameters ..
  130:       DOUBLE PRECISION   ONE, ZERO
  131:       PARAMETER          ( ONE = 1.0D0, ZERO = 0.0D0 )
  132: *     ..
  133: *     .. Local Scalars ..
  134:       INTEGER            I, J, L
  135: *     ..
  136: *     .. Intrinsic Functions ..
  137:       INTRINSIC          DBLE, DCMPLX, DIMAG
  138: *     ..
  139: *     .. External Subroutines ..
  140:       EXTERNAL           DGEMM
  141: *     ..
  142: *     .. Executable Statements ..
  143: *
  144: *     Quick return if possible.
  145: *
  146:       IF( ( M.EQ.0 ) .OR. ( N.EQ.0 ) )
  147:      $   RETURN
  148: *
  149:       DO 20 J = 1, N
  150:          DO 10 I = 1, M
  151:             RWORK( ( J-1 )*M+I ) = DBLE( B( I, J ) )
  152:    10    CONTINUE
  153:    20 CONTINUE
  154: *
  155:       L = M*N + 1
  156:       CALL DGEMM( 'N', 'N', M, N, M, ONE, A, LDA, RWORK, M, ZERO,
  157:      $            RWORK( L ), M )
  158:       DO 40 J = 1, N
  159:          DO 30 I = 1, M
  160:             C( I, J ) = RWORK( L+( J-1 )*M+I-1 )
  161:    30    CONTINUE
  162:    40 CONTINUE
  163: *
  164:       DO 60 J = 1, N
  165:          DO 50 I = 1, M
  166:             RWORK( ( J-1 )*M+I ) = DIMAG( B( I, J ) )
  167:    50    CONTINUE
  168:    60 CONTINUE
  169:       CALL DGEMM( 'N', 'N', M, N, M, ONE, A, LDA, RWORK, M, ZERO,
  170:      $            RWORK( L ), M )
  171:       DO 80 J = 1, N
  172:          DO 70 I = 1, M
  173:             C( I, J ) = DCMPLX( DBLE( C( I, J ) ),
  174:      $                  RWORK( L+( J-1 )*M+I-1 ) )
  175:    70    CONTINUE
  176:    80 CONTINUE
  177: *
  178:       RETURN
  179: *
  180: *     End of ZLARCM
  181: *
  182:       END

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