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Diff for /rpl/lapack/blas/ztpmv.f between versions 1.7 and 1.8

version 1.7, 2011/07/22 07:38:03 version 1.8, 2011/11/21 20:37:09
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   *> \brief \b ZTPMV
   *
   *  =========== DOCUMENTATION ===========
   *
   * Online html documentation available at 
   *            http://www.netlib.org/lapack/explore-html/ 
   *
   *  Definition:
   *  ===========
   *
   *       SUBROUTINE ZTPMV(UPLO,TRANS,DIAG,N,AP,X,INCX)
   * 
   *       .. Scalar Arguments ..
   *       INTEGER INCX,N
   *       CHARACTER DIAG,TRANS,UPLO
   *       ..
   *       .. Array Arguments ..
   *       COMPLEX*16 AP(*),X(*)
   *       ..
   *  
   *
   *> \par Purpose:
   *  =============
   *>
   *> \verbatim
   *>
   *> ZTPMV  performs one of the matrix-vector operations
   *>
   *>    x := A*x,   or   x := A**T*x,   or   x := A**H*x,
   *>
   *> where x is an n element vector and  A is an n by n unit, or non-unit,
   *> upper or lower triangular matrix, supplied in packed form.
   *> \endverbatim
   *
   *  Arguments:
   *  ==========
   *
   *> \param[in] UPLO
   *> \verbatim
   *>          UPLO is CHARACTER*1
   *>           On entry, UPLO specifies whether the matrix is an upper or
   *>           lower triangular matrix as follows:
   *>
   *>              UPLO = 'U' or 'u'   A is an upper triangular matrix.
   *>
   *>              UPLO = 'L' or 'l'   A is a lower triangular matrix.
   *> \endverbatim
   *>
   *> \param[in] TRANS
   *> \verbatim
   *>          TRANS is CHARACTER*1
   *>           On entry, TRANS specifies the operation to be performed as
   *>           follows:
   *>
   *>              TRANS = 'N' or 'n'   x := A*x.
   *>
   *>              TRANS = 'T' or 't'   x := A**T*x.
   *>
   *>              TRANS = 'C' or 'c'   x := A**H*x.
   *> \endverbatim
   *>
   *> \param[in] DIAG
   *> \verbatim
   *>          DIAG is CHARACTER*1
   *>           On entry, DIAG specifies whether or not A is unit
   *>           triangular as follows:
   *>
   *>              DIAG = 'U' or 'u'   A is assumed to be unit triangular.
   *>
   *>              DIAG = 'N' or 'n'   A is not assumed to be unit
   *>                                  triangular.
   *> \endverbatim
   *>
   *> \param[in] N
   *> \verbatim
   *>          N is INTEGER
   *>           On entry, N specifies the order of the matrix A.
   *>           N must be at least zero.
   *> \endverbatim
   *>
   *> \param[in] AP
   *> \verbatim
   *>          AP is COMPLEX*16 array of DIMENSION at least
   *>           ( ( n*( n + 1 ) )/2 ).
   *>           Before entry with  UPLO = 'U' or 'u', the array AP must
   *>           contain the upper triangular matrix packed sequentially,
   *>           column by column, so that AP( 1 ) contains a( 1, 1 ),
   *>           AP( 2 ) and AP( 3 ) contain a( 1, 2 ) and a( 2, 2 )
   *>           respectively, and so on.
   *>           Before entry with UPLO = 'L' or 'l', the array AP must
   *>           contain the lower triangular matrix packed sequentially,
   *>           column by column, so that AP( 1 ) contains a( 1, 1 ),
   *>           AP( 2 ) and AP( 3 ) contain a( 2, 1 ) and a( 3, 1 )
   *>           respectively, and so on.
   *>           Note that when  DIAG = 'U' or 'u', the diagonal elements of
   *>           A are not referenced, but are assumed to be unity.
   *> \endverbatim
   *>
   *> \param[in] X
   *> \verbatim
   *>          X is (input/output) COMPLEX*16 array of dimension at least
   *>           ( 1 + ( n - 1 )*abs( INCX ) ).
   *>           Before entry, the incremented array X must contain the n
   *>           element vector x. On exit, X is overwritten with the
   *>           tranformed vector x.
   *> \endverbatim
   *>
   *> \param[in] INCX
   *> \verbatim
   *>          INCX is INTEGER
   *>           On entry, INCX specifies the increment for the elements of
   *>           X. INCX must not be zero.
   *> \endverbatim
   *
   *  Authors:
   *  ========
   *
   *> \author Univ. of Tennessee 
   *> \author Univ. of California Berkeley 
   *> \author Univ. of Colorado Denver 
   *> \author NAG Ltd. 
   *
   *> \date November 2011
   *
   *> \ingroup complex16_blas_level2
   *
   *> \par Further Details:
   *  =====================
   *>
   *> \verbatim
   *>
   *>  Level 2 Blas routine.
   *>  The vector and matrix arguments are not referenced when N = 0, or M = 0
   *>
   *>  -- Written on 22-October-1986.
   *>     Jack Dongarra, Argonne National Lab.
   *>     Jeremy Du Croz, Nag Central Office.
   *>     Sven Hammarling, Nag Central Office.
   *>     Richard Hanson, Sandia National Labs.
   *> \endverbatim
   *>
   *  =====================================================================
       SUBROUTINE ZTPMV(UPLO,TRANS,DIAG,N,AP,X,INCX)        SUBROUTINE ZTPMV(UPLO,TRANS,DIAG,N,AP,X,INCX)
   *
   *  -- Reference BLAS level2 routine (version 3.4.0) --
   *  -- Reference BLAS is a software package provided by Univ. of Tennessee,    --
   *  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
   *     November 2011
   *
 *     .. Scalar Arguments ..  *     .. Scalar Arguments ..
       INTEGER INCX,N        INTEGER INCX,N
       CHARACTER DIAG,TRANS,UPLO        CHARACTER DIAG,TRANS,UPLO
 *     ..  *     ..
 *     .. Array Arguments ..  *     .. Array Arguments ..
       DOUBLE COMPLEX AP(*),X(*)        COMPLEX*16 AP(*),X(*)
 *     ..  *     ..
 *  *
 *  Purpose  
 *  =======  
 *  
 *  ZTPMV  performs one of the matrix-vector operations  
 *  
 *     x := A*x,   or   x := A**T*x,   or   x := A**H*x,  
 *  
 *  where x is an n element vector and  A is an n by n unit, or non-unit,  
 *  upper or lower triangular matrix, supplied in packed form.  
 *  
 *  Arguments  
 *  ==========  
 *  
 *  UPLO   - CHARACTER*1.  
 *           On entry, UPLO specifies whether the matrix is an upper or  
 *           lower triangular matrix as follows:  
 *  
 *              UPLO = 'U' or 'u'   A is an upper triangular matrix.  
 *  
 *              UPLO = 'L' or 'l'   A is a lower triangular matrix.  
 *  
 *           Unchanged on exit.  
 *  
 *  TRANS  - CHARACTER*1.  
 *           On entry, TRANS specifies the operation to be performed as  
 *           follows:  
 *  
 *              TRANS = 'N' or 'n'   x := A*x.  
 *  
 *              TRANS = 'T' or 't'   x := A**T*x.  
 *  
 *              TRANS = 'C' or 'c'   x := A**H*x.  
 *  
 *           Unchanged on exit.  
 *  
 *  DIAG   - CHARACTER*1.  
 *           On entry, DIAG specifies whether or not A is unit  
 *           triangular as follows:  
 *  
 *              DIAG = 'U' or 'u'   A is assumed to be unit triangular.  
 *  
 *              DIAG = 'N' or 'n'   A is not assumed to be unit  
 *                                  triangular.  
 *  
 *           Unchanged on exit.  
 *  
 *  N      - INTEGER.  
 *           On entry, N specifies the order of the matrix A.  
 *           N must be at least zero.  
 *           Unchanged on exit.  
 *  
 *  AP     - COMPLEX*16       array of DIMENSION at least  
 *           ( ( n*( n + 1 ) )/2 ).  
 *           Before entry with  UPLO = 'U' or 'u', the array AP must  
 *           contain the upper triangular matrix packed sequentially,  
 *           column by column, so that AP( 1 ) contains a( 1, 1 ),  
 *           AP( 2 ) and AP( 3 ) contain a( 1, 2 ) and a( 2, 2 )  
 *           respectively, and so on.  
 *           Before entry with UPLO = 'L' or 'l', the array AP must  
 *           contain the lower triangular matrix packed sequentially,  
 *           column by column, so that AP( 1 ) contains a( 1, 1 ),  
 *           AP( 2 ) and AP( 3 ) contain a( 2, 1 ) and a( 3, 1 )  
 *           respectively, and so on.  
 *           Note that when  DIAG = 'U' or 'u', the diagonal elements of  
 *           A are not referenced, but are assumed to be unity.  
 *           Unchanged on exit.  
 *  
 *  X      - COMPLEX*16       array of dimension at least  
 *           ( 1 + ( n - 1 )*abs( INCX ) ).  
 *           Before entry, the incremented array X must contain the n  
 *           element vector x. On exit, X is overwritten with the  
 *           tranformed vector x.  
 *  
 *  INCX   - INTEGER.  
 *           On entry, INCX specifies the increment for the elements of  
 *           X. INCX must not be zero.  
 *           Unchanged on exit.  
 *  
 *  Further Details  
 *  ===============  
 *  
 *  Level 2 Blas routine.  
 *  The vector and matrix arguments are not referenced when N = 0, or M = 0  
 *  
 *  -- Written on 22-October-1986.  
 *     Jack Dongarra, Argonne National Lab.  
 *     Jeremy Du Croz, Nag Central Office.  
 *     Sven Hammarling, Nag Central Office.  
 *     Richard Hanson, Sandia National Labs.  
 *  
 *  =====================================================================  *  =====================================================================
 *  *
 *     .. Parameters ..  *     .. Parameters ..
       DOUBLE COMPLEX ZERO        COMPLEX*16 ZERO
       PARAMETER (ZERO= (0.0D+0,0.0D+0))        PARAMETER (ZERO= (0.0D+0,0.0D+0))
 *     ..  *     ..
 *     .. Local Scalars ..  *     .. Local Scalars ..
       DOUBLE COMPLEX TEMP        COMPLEX*16 TEMP
       INTEGER I,INFO,IX,J,JX,K,KK,KX        INTEGER I,INFO,IX,J,JX,K,KK,KX
       LOGICAL NOCONJ,NOUNIT        LOGICAL NOCONJ,NOUNIT
 *     ..  *     ..
Removed from v.1.7  
changed lines
  Added in v.1.8

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