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      SUBROUTINE CGEMVF ( TRANS, M, N, ALPHA, A, LDA, X, INCX,
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     $                   BETA, Y, INCY )
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*     .. Scalar Arguments ..
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      COMPLEX            ALPHA, BETA
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      INTEGER            INCX, INCY, LDA, M, N
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      CHARACTER*1        TRANS
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*     .. Array Arguments ..
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      COMPLEX            A( LDA, * ), X( * ), Y( * )
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*     ..
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*
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*  Purpose
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*  =======
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*
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*  CGEMV  performs one of the matrix-vector operations
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*
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*     y := alpha*A*x + beta*y,   or   y := alpha*A'*x + beta*y,   or
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*
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*     y := alpha*conjg( A' )*x + beta*y,
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*
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*  where alpha and beta are scalars, x and y are vectors and A is an
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*  m by n matrix.
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*
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*  Parameters
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*  ==========
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*
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*  TRANS  - CHARACTER*1.
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*           On entry, TRANS specifies the operation to be performed as
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*           follows:
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*
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*              TRANS = 'N' or 'n'   y := alpha*A*x + beta*y.
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*
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*              TRANS = 'T' or 't'   y := alpha*A'*x + beta*y.
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*
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*              TRANS = 'C' or 'c'   y := alpha*conjg( A' )*x + beta*y.
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*
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*           Unchanged on exit.
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*
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*  M      - INTEGER.
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*           On entry, M specifies the number of rows of the matrix A.
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*           M must be at least zero.
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*           Unchanged on exit.
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*
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*  N      - INTEGER.
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*           On entry, N specifies the number of columns of the matrix A.
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*           N must be at least zero.
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*           Unchanged on exit.
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*
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*  ALPHA  - COMPLEX         .
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*           On entry, ALPHA specifies the scalar alpha.
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*           Unchanged on exit.
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*
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*  A      - COMPLEX          array of DIMENSION ( LDA, n ).
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*           Before entry, the leading m by n part of the array A must
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*           contain the matrix of coefficients.
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*           Unchanged on exit.
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*
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*  LDA    - INTEGER.
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*           On entry, LDA specifies the first dimension of A as declared
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*           in the calling (sub) program. LDA must be at least
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*           max( 1, m ).
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*           Unchanged on exit.
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*
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*  X      - COMPLEX          array of DIMENSION at least
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*           ( 1 + ( n - 1 )*abs( INCX ) ) when TRANS = 'N' or 'n'
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*           and at least
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*           ( 1 + ( m - 1 )*abs( INCX ) ) otherwise.
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*           Before entry, the incremented array X must contain the
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*           vector x.
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*           Unchanged on exit.
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*
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*  INCX   - INTEGER.
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*           On entry, INCX specifies the increment for the elements of
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*           X. INCX must not be zero.
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*           Unchanged on exit.
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*
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*  BETA   - COMPLEX         .
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*           On entry, BETA specifies the scalar beta. When BETA is
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*           supplied as zero then Y need not be set on input.
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*           Unchanged on exit.
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*
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*  Y      - COMPLEX          array of DIMENSION at least
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*           ( 1 + ( m - 1 )*abs( INCY ) ) when TRANS = 'N' or 'n'
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*           and at least
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*           ( 1 + ( n - 1 )*abs( INCY ) ) otherwise.
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*           Before entry with BETA non-zero, the incremented array Y
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*           must contain the vector y. On exit, Y is overwritten by the
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*           updated vector y.
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*
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*  INCY   - INTEGER.
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*           On entry, INCY specifies the increment for the elements of
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*           Y. INCY must not be zero.
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*           Unchanged on exit.
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*
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*
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*  Level 2 Blas routine.
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*
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*  -- Written on 22-October-1986.
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*     Jack Dongarra, Argonne National Lab.
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*     Jeremy Du Croz, Nag Central Office.
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*     Sven Hammarling, Nag Central Office.
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*     Richard Hanson, Sandia National Labs.
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*
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*
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*     .. Parameters ..
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      COMPLEX            ONE
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      PARAMETER        ( ONE  = ( 1.0E+0, 0.0E+0 ) )
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      COMPLEX            ZERO
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      PARAMETER        ( ZERO = ( 0.0E+0, 0.0E+0 ) )
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*     .. Local Scalars ..
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      COMPLEX            TEMP
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      INTEGER            I, INFO, IX, IY, J, JX, JY, KX, KY, LENX, LENY
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      LOGICAL            NOCONJ, NOTRANS, XCONJ
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*     .. External Functions ..
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      LOGICAL            LSAME
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      EXTERNAL           LSAME
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*     .. External Subroutines ..
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      EXTERNAL           XERBLA
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*     .. Intrinsic Functions ..
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      INTRINSIC          CONJG, MAX
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*     ..
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*     .. Executable Statements ..
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*
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*     Test the input parameters.
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*
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      INFO = 0
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      IF     ( .NOT.LSAME( TRANS, 'N' ).AND.
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     $         .NOT.LSAME( TRANS, 'T' ).AND.
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     $         .NOT.LSAME( TRANS, 'R' ).AND.
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     $         .NOT.LSAME( TRANS, 'C' ).AND.
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     $         .NOT.LSAME( TRANS, 'O' ).AND.
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     $         .NOT.LSAME( TRANS, 'U' ).AND.
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     $         .NOT.LSAME( TRANS, 'S' ).AND.
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     $         .NOT.LSAME( TRANS, 'D' )      )THEN
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         INFO = 1
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      ELSE IF( M.LT.0 )THEN
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         INFO = 2
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      ELSE IF( N.LT.0 )THEN
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         INFO = 3
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      ELSE IF( LDA.LT.MAX( 1, M ) )THEN
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         INFO = 6
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      ELSE IF( INCX.EQ.0 )THEN
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         INFO = 8
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      ELSE IF( INCY.EQ.0 )THEN
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         INFO = 11
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      END IF
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      IF( INFO.NE.0 )THEN
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         CALL XERBLA( 'CGEMV ', INFO )
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         RETURN
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      END IF
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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 ).OR.
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     $    ( ( ALPHA.EQ.ZERO ).AND.( BETA.EQ.ONE ) ) )
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     $   RETURN
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*
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      NOCONJ = (LSAME( TRANS, 'N' ) .OR. LSAME( TRANS, 'T' )
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     $     .OR. LSAME( TRANS, 'O' ) .OR. LSAME( TRANS, 'U' ))
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      NOTRANS = (LSAME( TRANS, 'N' ) .OR. LSAME( TRANS, 'R' )
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     $     .OR. LSAME( TRANS, 'O' ) .OR. LSAME( TRANS, 'S' ))
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      XCONJ  = (LSAME( TRANS, 'N' ) .OR. LSAME( TRANS, 'T' )
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     $     .OR. LSAME( TRANS, 'R' ) .OR. LSAME( TRANS, 'C' ))
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*
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*     Set  LENX  and  LENY, the lengths of the vectors x and y, and set
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*     up the start points in  X  and  Y.
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*
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      IF(NOTRANS)THEN
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         LENX = N
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         LENY = M
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      ELSE
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         LENX = M
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         LENY = N
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      END IF
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      IF( INCX.GT.0 )THEN
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         KX = 1
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      ELSE
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         KX = 1 - ( LENX - 1 )*INCX
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      END IF
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      IF( INCY.GT.0 )THEN
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         KY = 1
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      ELSE
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         KY = 1 - ( LENY - 1 )*INCY
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      END IF
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*
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*     Start the operations. In this version the elements of A are
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*     accessed sequentially with one pass through A.
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*
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*     First form  y := beta*y.
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*
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      IF( BETA.NE.ONE )THEN
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         IF( INCY.EQ.1 )THEN
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            IF( BETA.EQ.ZERO )THEN
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               DO 10, I = 1, LENY
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                  Y( I ) = ZERO
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   10          CONTINUE
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            ELSE
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               DO 20, I = 1, LENY
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                  Y( I ) = BETA*Y( I )
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   20          CONTINUE
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            END IF
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         ELSE
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            IY = KY
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            IF( BETA.EQ.ZERO )THEN
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               DO 30, I = 1, LENY
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                  Y( IY ) = ZERO
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                  IY      = IY   + INCY
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   30          CONTINUE
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            ELSE
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               DO 40, I = 1, LENY
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                  Y( IY ) = BETA*Y( IY )
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                  IY      = IY           + INCY
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   40          CONTINUE
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            END IF
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         END IF
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      END IF
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      IF( ALPHA.EQ.ZERO )
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     $   RETURN
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      IF(NOTRANS)THEN
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*
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*        Form  y := alpha*A*x + y.
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*
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         JX = KX
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         IF( INCY.EQ.1 )THEN
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            DO 60, J = 1, N
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               IF( X( JX ).NE.ZERO )THEN
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                  IF (XCONJ) THEN
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                     TEMP = ALPHA*X( JX )
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                  ELSE
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                     TEMP = ALPHA*CONJG(X( JX ))
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                  ENDIF
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                  IF (NOCONJ) THEN
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                     DO 50, I = 1, M
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                        Y( I ) = Y( I ) + TEMP*A( I, J )
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 50                  CONTINUE
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                  ELSE
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                     DO 55, I = 1, M
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                        Y( I ) = Y( I ) + TEMP*CONJG(A( I, J ))
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 55                  CONTINUE
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                  ENDIF
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               END IF
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               JX = JX + INCX
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   60       CONTINUE
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         ELSE
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            DO 80, J = 1, N
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               IF( X( JX ).NE.ZERO )THEN
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                  IF (XCONJ) THEN
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                     TEMP = ALPHA*X( JX )
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                  ELSE
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                     TEMP = ALPHA*CONJG(X( JX ))
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                  ENDIF
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                  IY   = KY
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                  IF (NOCONJ) THEN
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                     DO 70, I = 1, M
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                        Y( IY ) = Y( IY ) + TEMP*A( I, J )
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                        IY      = IY      + INCY
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 70                  CONTINUE
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                  ELSE
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                     DO 75, I = 1, M
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                        Y( IY ) = Y( IY ) + TEMP* CONJG(A( I, J ))
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                        IY      = IY      + INCY
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 75                  CONTINUE
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                  ENDIF
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               END IF
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               JX = JX + INCX
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   80       CONTINUE
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         END IF
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      ELSE
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*
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*        Form  y := alpha*A'*x + y  or  y := alpha*conjg( A' )*x + y.
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*
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         JY = KY
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         IF( INCX.EQ.1 )THEN
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            DO 110, J = 1, N
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               TEMP = ZERO
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               IF( NOCONJ )THEN
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                  DO 90, I = 1, M
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                     IF (XCONJ) THEN
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                        TEMP = TEMP + A( I, J )*X( I )
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                     ELSE
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                        TEMP = TEMP + A( I, J )*CONJG(X( I ))
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                     ENDIF
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   90             CONTINUE
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               ELSE
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                  DO 100, I = 1, M
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                     IF (XCONJ) THEN
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                        TEMP = TEMP + CONJG( A( I, J ) )*X( I )
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                     ELSE
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                        TEMP = TEMP + CONJG( A( I, J ) )*CONJG(X( I ))
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                     ENDIF
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  100             CONTINUE
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               END IF
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               Y( JY ) = Y( JY ) + ALPHA*TEMP
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               JY      = JY      + INCY
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  110       CONTINUE
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         ELSE
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            DO 140, J = 1, N
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               TEMP = ZERO
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               IX   = KX
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               IF( NOCONJ )THEN
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                  DO 120, I = 1, M
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                     IF (XCONJ) THEN
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                        TEMP = TEMP + A( I, J )*X( IX )
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                     ELSE
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                        TEMP = TEMP + A( I, J )*CONJG(X( IX ))
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                     ENDIF
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                     IX   = IX   + INCX
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  120             CONTINUE
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               ELSE
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                  DO 130, I = 1, M
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                     IF (XCONJ) THEN
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                        TEMP = TEMP + CONJG( A( I, J ) )*X( IX )
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                     ELSE
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                       TEMP = TEMP + CONJG( A( I, J ) )*CONJG(X( IX ))
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                     ENDIF
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                     IX   = IX   + INCX
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  130             CONTINUE
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               END IF
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               Y( JY ) = Y( JY ) + ALPHA*TEMP
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               JY      = JY      + INCY
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  140       CONTINUE
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         END IF
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      END IF
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*
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      RETURN
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*
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*     End of CGEMV .
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*
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      END
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