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    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: *>          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 DOUBLE PRECISION array, dimension (LDB, N)
   76: *>          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[in] C
   86: *> \verbatim
   87: *>          C is COMPLEX*16 array, dimension (LDC, N)
   88: *>          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: *> \date September 2012
  111: *
  112: *> \ingroup complex16OTHERauxiliary
  113: *
  114: *  =====================================================================
  115:       SUBROUTINE ZLARCM( M, N, A, LDA, B, LDB, C, LDC, RWORK )
  116: *
  117: *  -- LAPACK auxiliary routine (version 3.4.2) --
  118: *  -- LAPACK is a software package provided by Univ. of Tennessee,    --
  119: *  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
  120: *     September 2012
  121: *
  122: *     .. Scalar Arguments ..
  123:       INTEGER            LDA, LDB, LDC, M, N
  124: *     ..
  125: *     .. Array Arguments ..
  126:       DOUBLE PRECISION   A( LDA, * ), RWORK( * )
  127:       COMPLEX*16         B( LDB, * ), C( LDC, * )
  128: *     ..
  129: *
  130: *  =====================================================================
  131: *
  132: *     .. Parameters ..
  133:       DOUBLE PRECISION   ONE, ZERO
  134:       PARAMETER          ( ONE = 1.0D0, ZERO = 0.0D0 )
  135: *     ..
  136: *     .. Local Scalars ..
  137:       INTEGER            I, J, L
  138: *     ..
  139: *     .. Intrinsic Functions ..
  140:       INTRINSIC          DBLE, DCMPLX, DIMAG
  141: *     ..
  142: *     .. External Subroutines ..
  143:       EXTERNAL           DGEMM
  144: *     ..
  145: *     .. Executable Statements ..
  146: *
  147: *     Quick return if possible.
  148: *
  149:       IF( ( M.EQ.0 ) .OR. ( N.EQ.0 ) )
  150:      $   RETURN
  151: *
  152:       DO 20 J = 1, N
  153:          DO 10 I = 1, M
  154:             RWORK( ( J-1 )*M+I ) = DBLE( B( I, J ) )
  155:    10    CONTINUE
  156:    20 CONTINUE
  157: *
  158:       L = M*N + 1
  159:       CALL DGEMM( 'N', 'N', M, N, M, ONE, A, LDA, RWORK, M, ZERO,
  160:      $            RWORK( L ), M )
  161:       DO 40 J = 1, N
  162:          DO 30 I = 1, M
  163:             C( I, J ) = RWORK( L+( J-1 )*M+I-1 )
  164:    30    CONTINUE
  165:    40 CONTINUE
  166: *
  167:       DO 60 J = 1, N
  168:          DO 50 I = 1, M
  169:             RWORK( ( J-1 )*M+I ) = DIMAG( B( I, J ) )
  170:    50    CONTINUE
  171:    60 CONTINUE
  172:       CALL DGEMM( 'N', 'N', M, N, M, ONE, A, LDA, RWORK, M, ZERO,
  173:      $            RWORK( L ), M )
  174:       DO 80 J = 1, N
  175:          DO 70 I = 1, M
  176:             C( I, J ) = DCMPLX( DBLE( C( I, J ) ),
  177:      $                  RWORK( L+( J-1 )*M+I-1 ) )
  178:    70    CONTINUE
  179:    80 CONTINUE
  180: *
  181:       RETURN
  182: *
  183: *     End of ZLARCM
  184: *
  185:       END