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      SUBROUTINE CTRSMF ( SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, LDA,
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     $                   B, LDB )
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*     .. Scalar Arguments ..
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      CHARACTER*1        SIDE, UPLO, TRANSA, DIAG
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      INTEGER            M, N, LDA, LDB
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      COMPLEX            ALPHA
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*     .. Array Arguments ..
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      COMPLEX            A( LDA, * ), B( LDB, * )
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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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*  CTRSM  solves one of the matrix equations
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*
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*     op( A )*X = alpha*B,   or   X*op( A ) = alpha*B,
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*
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*  where alpha is a scalar, X and B are m by n matrices, A is a unit, or
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*  non-unit,  upper or lower triangular matrix  and  op( A )  is one  of
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*
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*     op( A ) = A   or   op( A ) = A'   or   op( A ) = conjg( A' ).
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*
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*  The matrix X is overwritten on B.
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*
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*  Parameters
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*  ==========
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*
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*  SIDE   - CHARACTER*1.
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*           On entry, SIDE specifies whether op( A ) appears on the left
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*           or right of X as follows:
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*
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*              SIDE = 'L' or 'l'   op( A )*X = alpha*B.
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*
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*              SIDE = 'R' or 'r'   X*op( A ) = alpha*B.
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*
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*           Unchanged on exit.
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*
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*  UPLO   - CHARACTER*1.
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*           On entry, UPLO specifies whether the matrix A is an upper or
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*           lower triangular matrix as follows:
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*
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*              UPLO = 'U' or 'u'   A is an upper triangular matrix.
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*
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*              UPLO = 'L' or 'l'   A is a lower triangular matrix.
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*
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*           Unchanged on exit.
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*
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*  TRANSA - CHARACTER*1.
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*           On entry, TRANSA specifies the form of op( A ) to be used in
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*           the matrix multiplication as follows:
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*
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*              TRANSA = 'N' or 'n'   op( A ) = A.
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*
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*              TRANSA = 'T' or 't'   op( A ) = A'.
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*
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*              TRANSA = 'C' or 'c'   op( A ) = conjg( A' ).
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*
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*           Unchanged on exit.
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*
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*  DIAG   - CHARACTER*1.
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*           On entry, DIAG specifies whether or not A is unit triangular
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*           as follows:
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*
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*              DIAG = 'U' or 'u'   A is assumed to be unit triangular.
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*
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*              DIAG = 'N' or 'n'   A is not assumed to be unit
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*                                  triangular.
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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 B. M must be at
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*           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 B.  N must be
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*           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. When  alpha is
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*           zero then  A is not referenced and  B need not be set before
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*           entry.
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*           Unchanged on exit.
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*
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*  A      - COMPLEX          array of DIMENSION ( LDA, k ), where k is m
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*           when  SIDE = 'L' or 'l'  and is  n  when  SIDE = 'R' or 'r'.
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*           Before entry  with  UPLO = 'U' or 'u',  the  leading  k by k
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*           upper triangular part of the array  A must contain the upper
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*           triangular matrix  and the strictly lower triangular part of
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*           A is not referenced.
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*           Before entry  with  UPLO = 'L' or 'l',  the  leading  k by k
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*           lower triangular part of the array  A must contain the lower
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*           triangular matrix  and the strictly upper triangular part of
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*           A is not referenced.
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*           Note that when  DIAG = 'U' or 'u',  the diagonal elements of
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*           A  are not referenced either,  but are assumed to be  unity.
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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.  When  SIDE = 'L' or 'l'  then
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*           LDA  must be at least  max( 1, m ),  when  SIDE = 'R' or 'r'
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*           then LDA must be at least max( 1, n ).
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*           Unchanged on exit.
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*
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*  B      - COMPLEX          array of DIMENSION ( LDB, n ).
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*           Before entry,  the leading  m by n part of the array  B must
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*           contain  the  right-hand  side  matrix  B,  and  on exit  is
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*           overwritten by the solution matrix  X.
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*
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*  LDB    - INTEGER.
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*           On entry, LDB specifies the first dimension of B as declared
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*           in  the  calling  (sub)  program.   LDB  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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*
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*  Level 3 Blas routine.
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*
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*  -- Written on 8-February-1989.
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*     Jack Dongarra, Argonne National Laboratory.
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*     Iain Duff, AERE Harwell.
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*     Jeremy Du Croz, Numerical Algorithms Group Ltd.
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*     Sven Hammarling, Numerical Algorithms Group Ltd.
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*
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*
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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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*     .. Local Scalars ..
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      LOGICAL            LSIDE, NOCONJ, NOUNIT, UPPER
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      INTEGER            I, INFO, J, K, NROWA
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      COMPLEX            TEMP
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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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*     ..
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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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      LSIDE  = LSAME( SIDE  , 'L' )
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      IF( LSIDE )THEN
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         NROWA = M
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      ELSE
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         NROWA = N
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      END IF
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      NOCONJ = (LSAME( TRANSA, 'N' ) .OR. LSAME( TRANSA, 'T' ))
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      NOUNIT = LSAME( DIAG  , 'N' )
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      UPPER  = LSAME( UPLO  , 'U' )
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*
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      INFO   = 0
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      IF(      ( .NOT.LSIDE                ).AND.
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     $         ( .NOT.LSAME( SIDE  , 'R' ) )      )THEN
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         INFO = 1
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      ELSE IF( ( .NOT.UPPER                ).AND.
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     $         ( .NOT.LSAME( UPLO  , 'L' ) )      )THEN
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         INFO = 2
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      ELSE IF( ( .NOT.LSAME( TRANSA, 'N' ) ).AND.
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     $         ( .NOT.LSAME( TRANSA, 'T' ) ).AND.
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     $         ( .NOT.LSAME( TRANSA, 'R' ) ).AND.
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     $         ( .NOT.LSAME( TRANSA, 'C' ) )      )THEN
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         INFO = 3
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      ELSE IF( ( .NOT.LSAME( DIAG  , 'U' ) ).AND.
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     $         ( .NOT.LSAME( DIAG  , 'N' ) )      )THEN
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         INFO = 4
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      ELSE IF( M  .LT.0               )THEN
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         INFO = 5
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      ELSE IF( N  .LT.0               )THEN
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         INFO = 6
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      ELSE IF( LDA.LT.MAX( 1, NROWA ) )THEN
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         INFO = 9
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      ELSE IF( LDB.LT.MAX( 1, M     ) )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( 'CTRSM ', 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( N.EQ.0 )
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     $   RETURN
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*
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*     And when  alpha.eq.zero.
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*
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      IF( ALPHA.EQ.ZERO )THEN
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         DO 20, J = 1, N
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            DO 10, I = 1, M
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               B( I, J ) = ZERO
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   10       CONTINUE
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   20    CONTINUE
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         RETURN
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      END IF
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*
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*     Start the operations.
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*
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      IF( LSIDE )THEN
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         IF( LSAME( TRANSA, 'N' ) .OR. LSAME( TRANSA, 'R' ))THEN
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*
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*           Form  B := alpha*inv( A )*B.
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*
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            IF( UPPER )THEN
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               DO 60, J = 1, N
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                  IF( ALPHA.NE.ONE )THEN
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                     DO 30, I = 1, M
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                        B( I, J ) = ALPHA*B( I, J )
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   30                CONTINUE
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                  END IF
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                  DO 50, K = M, 1, -1
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                     IF( B( K, J ).NE.ZERO )THEN
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                        IF( NOUNIT ) THEN
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                           IF (NOCONJ) THEN
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                              B( K, J ) = B( K, J )/A( K, K )
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                           ELSE
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                              B( K, J ) = B( K, J )/CONJG(A( K, K ))
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                           ENDIF
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                        ENDIF
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                        IF (NOCONJ) THEN
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                           DO 40, I = 1, K - 1
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                            B( I, J ) = B( I, J ) - B( K, J )*A( I, K )
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   40                      CONTINUE
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                        ELSE
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                           DO 45, I = 1, K - 1
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                      B( I, J ) = B( I, J ) - B( K, J )*CONJG(A( I, K ))
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   45                      CONTINUE
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                        ENDIF
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                     ENDIF
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   50             CONTINUE
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   60          CONTINUE
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            ELSE
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               DO 100, J = 1, N
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                  IF( ALPHA.NE.ONE )THEN
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                     DO 70, I = 1, M
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                        B( I, J ) = ALPHA*B( I, J )
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   70                CONTINUE
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                  END IF
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                  DO 90 K = 1, M
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                     IF (NOCONJ) THEN
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                     IF( B( K, J ).NE.ZERO )THEN
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                        IF( NOUNIT )
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     $                     B( K, J ) = B( K, J )/A( K, K )
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                        DO 80, I = K + 1, M
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                           B( I, J ) = B( I, J ) - B( K, J )*A( I, K )
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   80                   CONTINUE
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                     END IF
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                     ELSE
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                     IF( B( K, J ).NE.ZERO )THEN
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                        IF( NOUNIT )
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     $                     B( K, J ) = B( K, J )/CONJG(A( K, K ))
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                        DO 85, I = K + 1, M
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                      B( I, J ) = B( I, J ) - B( K, J )*CONJG(A( I, K ))
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   85                   CONTINUE
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                     END IF
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                     ENDIF
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   90             CONTINUE
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  100          CONTINUE
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            END IF
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         ELSE
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*
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*           Form  B := alpha*inv( A' )*B
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*           or    B := alpha*inv( conjg( A' ) )*B.
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*
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            IF( UPPER )THEN
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               DO 140, J = 1, N
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                  DO 130, I = 1, M
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                     TEMP = ALPHA*B( I, J )
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                     IF( NOCONJ )THEN
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                        DO 110, K = 1, I - 1
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                           TEMP = TEMP - A( K, I )*B( K, J )
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  110                   CONTINUE
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                        IF( NOUNIT )
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     $                     TEMP = TEMP/A( I, I )
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                     ELSE
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                        DO 120, K = 1, I - 1
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                           TEMP = TEMP - CONJG( A( K, I ) )*B( K, J )
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  120                   CONTINUE
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                        IF( NOUNIT )
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     $                     TEMP = TEMP/CONJG( A( I, I ) )
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                     END IF
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                     B( I, J ) = TEMP
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  130             CONTINUE
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  140          CONTINUE
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            ELSE
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               DO 180, J = 1, N
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                  DO 170, I = M, 1, -1
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                     TEMP = ALPHA*B( I, J )
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                     IF( NOCONJ )THEN
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                        DO 150, K = I + 1, M
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                           TEMP = TEMP - A( K, I )*B( K, J )
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  150                   CONTINUE
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                        IF( NOUNIT )
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     $                     TEMP = TEMP/A( I, I )
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                     ELSE
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                        DO 160, K = I + 1, M
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                           TEMP = TEMP - CONJG( A( K, I ) )*B( K, J )
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  160                   CONTINUE
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                        IF( NOUNIT )
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     $                     TEMP = TEMP/CONJG( A( I, I ) )
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                     END IF
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                     B( I, J ) = TEMP
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  170             CONTINUE
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  180          CONTINUE
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            END IF
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         END IF
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      ELSE
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         IF( LSAME( TRANSA, 'N' ) .OR. LSAME( TRANSA, 'R' ))THEN
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*
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*           Form  B := alpha*B*inv( A ).
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*
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            IF( UPPER )THEN
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               DO 230, J = 1, N
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                  IF( ALPHA.NE.ONE )THEN
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                     DO 190, I = 1, M
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                        B( I, J ) = ALPHA*B( I, J )
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  190                CONTINUE
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                  END IF
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                  DO 210, K = 1, J - 1
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                     IF( A( K, J ).NE.ZERO )THEN
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                        IF (NOCONJ) THEN
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                        DO 200, I = 1, M
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                           B( I, J ) = B( I, J ) - A( K, J )*B( I, K )
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  200                   CONTINUE
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                        ELSE
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                        DO 205, I = 1, M
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                     B( I, J ) = B( I, J ) - CONJG(A( K, J ))*B( I, K )
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 205                    CONTINUE
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                        ENDIF
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                     END IF
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  210             CONTINUE
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                  IF( NOUNIT )THEN
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                     IF (NOCONJ) THEN
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                     TEMP = ONE/A( J, J )
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                     ELSE
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                     TEMP = ONE/CONJG(A( J, J ))
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                     ENDIF
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                     DO 220, I = 1, M
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                        B( I, J ) = TEMP*B( I, J )
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  220                CONTINUE
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                  END IF
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  230          CONTINUE
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            ELSE
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               DO 280, J = N, 1, -1
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                  IF( ALPHA.NE.ONE )THEN
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                     DO 240, I = 1, M
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                        B( I, J ) = ALPHA*B( I, J )
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  240                CONTINUE
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                  END IF
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                  DO 260, K = J + 1, N
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                     IF( A( K, J ).NE.ZERO )THEN
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                        IF (NOCONJ) THEN
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                        DO 250, I = 1, M
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                           B( I, J ) = B( I, J ) - A( K, J )*B( I, K )
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  250                   CONTINUE
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                        ELSE
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                        DO 255, I = 1, M
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                    B( I, J ) = B( I, J ) - CONJG(A( K, J ))*B( I, K )
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 255                    CONTINUE
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                        ENDIF
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                     END IF
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  260             CONTINUE
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                  IF( NOUNIT )THEN
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                     IF (NOCONJ) THEN
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                     TEMP = ONE/A( J, J )
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                     ELSE
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                     TEMP = ONE/CONJG(A( J, J ))
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                     ENDIF
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                     DO 270, I = 1, M
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                       B( I, J ) = TEMP*B( I, J )
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  270                CONTINUE
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                  END IF
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  280          CONTINUE
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            END IF
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         ELSE
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*
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*           Form  B := alpha*B*inv( A' )
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*           or    B := alpha*B*inv( conjg( A' ) ).
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*
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            IF( UPPER )THEN
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               DO 330, K = N, 1, -1
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                  IF( NOUNIT )THEN
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                     IF( NOCONJ )THEN
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                        TEMP = ONE/A( K, K )
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                     ELSE
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                        TEMP = ONE/CONJG( A( K, K ) )
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                     END IF
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                     DO 290, I = 1, M
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                        B( I, K ) = TEMP*B( I, K )
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  290                CONTINUE
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                  END IF
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                  DO 310, J = 1, K - 1
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                     IF( A( J, K ).NE.ZERO )THEN
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                        IF( NOCONJ )THEN
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                           TEMP = A( J, K )
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                        ELSE
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                           TEMP = CONJG( A( J, K ) )
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                        END IF
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                        DO 300, I = 1, M
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                           B( I, J ) = B( I, J ) - TEMP*B( I, K )
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  300                   CONTINUE
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                     END IF
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  310             CONTINUE
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                  IF( ALPHA.NE.ONE )THEN
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                     DO 320, I = 1, M
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                        B( I, K ) = ALPHA*B( I, K )
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  320                CONTINUE
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                  END IF
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  330          CONTINUE
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            ELSE
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               DO 380, K = 1, N
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                  IF( NOUNIT )THEN
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                     IF( NOCONJ )THEN
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                        TEMP = ONE/A( K, K )
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                     ELSE
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                        TEMP = ONE/CONJG( A( K, K ) )
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                     END IF
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                     DO 340, I = 1, M
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                        B( I, K ) = TEMP*B( I, K )
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  340                CONTINUE
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                  END IF
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                  DO 360, J = K + 1, N
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                     IF( A( J, K ).NE.ZERO )THEN
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                        IF( NOCONJ )THEN
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                           TEMP = A( J, K )
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                        ELSE
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                           TEMP = CONJG( A( J, K ) )
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                        END IF
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                        DO 350, I = 1, M
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                           B( I, J ) = B( I, J ) - TEMP*B( I, K )
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  350                   CONTINUE
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                     END IF
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  360             CONTINUE
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                  IF( ALPHA.NE.ONE )THEN
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                     DO 370, I = 1, M
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                        B( I, K ) = ALPHA*B( I, K )
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  370                CONTINUE
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                  END IF
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  380          CONTINUE
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            END IF
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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 CTRSM .
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*
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      END