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version 1.7, 2010/12/21 13:53:51 version 1.8, 2011/11/21 20:43:17
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   *> \brief \b ZLARGV
   *
   *  =========== DOCUMENTATION ===========
   *
   * Online html documentation available at 
   *            http://www.netlib.org/lapack/explore-html/ 
   *
   *> \htmlonly
   *> Download ZLARGV + dependencies 
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlargv.f"> 
   *> [TGZ]</a> 
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlargv.f"> 
   *> [ZIP]</a> 
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlargv.f"> 
   *> [TXT]</a>
   *> \endhtmlonly 
   *
   *  Definition:
   *  ===========
   *
   *       SUBROUTINE ZLARGV( N, X, INCX, Y, INCY, C, INCC )
   * 
   *       .. Scalar Arguments ..
   *       INTEGER            INCC, INCX, INCY, N
   *       ..
   *       .. Array Arguments ..
   *       DOUBLE PRECISION   C( * )
   *       COMPLEX*16         X( * ), Y( * )
   *       ..
   *  
   *
   *> \par Purpose:
   *  =============
   *>
   *> \verbatim
   *>
   *> ZLARGV generates a vector of complex plane rotations with real
   *> cosines, determined by elements of the complex vectors x and y.
   *> For i = 1,2,...,n
   *>
   *>    (        c(i)   s(i) ) ( x(i) ) = ( r(i) )
   *>    ( -conjg(s(i))  c(i) ) ( y(i) ) = (   0  )
   *>
   *>    where c(i)**2 + ABS(s(i))**2 = 1
   *>
   *> The following conventions are used (these are the same as in ZLARTG,
   *> but differ from the BLAS1 routine ZROTG):
   *>    If y(i)=0, then c(i)=1 and s(i)=0.
   *>    If x(i)=0, then c(i)=0 and s(i) is chosen so that r(i) is real.
   *> \endverbatim
   *
   *  Arguments:
   *  ==========
   *
   *> \param[in] N
   *> \verbatim
   *>          N is INTEGER
   *>          The number of plane rotations to be generated.
   *> \endverbatim
   *>
   *> \param[in,out] X
   *> \verbatim
   *>          X is COMPLEX*16 array, dimension (1+(N-1)*INCX)
   *>          On entry, the vector x.
   *>          On exit, x(i) is overwritten by r(i), for i = 1,...,n.
   *> \endverbatim
   *>
   *> \param[in] INCX
   *> \verbatim
   *>          INCX is INTEGER
   *>          The increment between elements of X. INCX > 0.
   *> \endverbatim
   *>
   *> \param[in,out] Y
   *> \verbatim
   *>          Y is COMPLEX*16 array, dimension (1+(N-1)*INCY)
   *>          On entry, the vector y.
   *>          On exit, the sines of the plane rotations.
   *> \endverbatim
   *>
   *> \param[in] INCY
   *> \verbatim
   *>          INCY is INTEGER
   *>          The increment between elements of Y. INCY > 0.
   *> \endverbatim
   *>
   *> \param[out] C
   *> \verbatim
   *>          C is DOUBLE PRECISION array, dimension (1+(N-1)*INCC)
   *>          The cosines of the plane rotations.
   *> \endverbatim
   *>
   *> \param[in] INCC
   *> \verbatim
   *>          INCC is INTEGER
   *>          The increment between elements of C. INCC > 0.
   *> \endverbatim
   *
   *  Authors:
   *  ========
   *
   *> \author Univ. of Tennessee 
   *> \author Univ. of California Berkeley 
   *> \author Univ. of Colorado Denver 
   *> \author NAG Ltd. 
   *
   *> \date November 2011
   *
   *> \ingroup complex16OTHERauxiliary
   *
   *> \par Further Details:
   *  =====================
   *>
   *> \verbatim
   *>
   *>  6-6-96 - Modified with a new algorithm by W. Kahan and J. Demmel
   *>
   *>  This version has a few statements commented out for thread safety
   *>  (machine parameters are computed on each entry). 10 feb 03, SJH.
   *> \endverbatim
   *>
   *  =====================================================================
       SUBROUTINE ZLARGV( N, X, INCX, Y, INCY, C, INCC )        SUBROUTINE ZLARGV( N, X, INCX, Y, INCY, C, INCC )
 *  *
 *  -- LAPACK auxiliary routine (version 3.2) --  *  -- LAPACK auxiliary routine (version 3.4.0) --
 *  -- LAPACK is a software package provided by Univ. of Tennessee,    --  *  -- LAPACK is a software package provided by Univ. of Tennessee,    --
 *  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--  *  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
 *     November 2006  *     November 2011
 *  *
 *     .. Scalar Arguments ..  *     .. Scalar Arguments ..
       INTEGER            INCC, INCX, INCY, N        INTEGER            INCC, INCX, INCY, N
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       COMPLEX*16         X( * ), Y( * )        COMPLEX*16         X( * ), Y( * )
 *     ..  *     ..
 *  *
 *  Purpose  
 *  =======  
 *  
 *  ZLARGV generates a vector of complex plane rotations with real  
 *  cosines, determined by elements of the complex vectors x and y.  
 *  For i = 1,2,...,n  
 *  
 *     (        c(i)   s(i) ) ( x(i) ) = ( r(i) )  
 *     ( -conjg(s(i))  c(i) ) ( y(i) ) = (   0  )  
 *  
 *     where c(i)**2 + ABS(s(i))**2 = 1  
 *  
 *  The following conventions are used (these are the same as in ZLARTG,  
 *  but differ from the BLAS1 routine ZROTG):  
 *     If y(i)=0, then c(i)=1 and s(i)=0.  
 *     If x(i)=0, then c(i)=0 and s(i) is chosen so that r(i) is real.  
 *  
 *  Arguments  
 *  =========  
 *  
 *  N       (input) INTEGER  
 *          The number of plane rotations to be generated.  
 *  
 *  X       (input/output) COMPLEX*16 array, dimension (1+(N-1)*INCX)  
 *          On entry, the vector x.  
 *          On exit, x(i) is overwritten by r(i), for i = 1,...,n.  
 *  
 *  INCX    (input) INTEGER  
 *          The increment between elements of X. INCX > 0.  
 *  
 *  Y       (input/output) COMPLEX*16 array, dimension (1+(N-1)*INCY)  
 *          On entry, the vector y.  
 *          On exit, the sines of the plane rotations.  
 *  
 *  INCY    (input) INTEGER  
 *          The increment between elements of Y. INCY > 0.  
 *  
 *  C       (output) DOUBLE PRECISION array, dimension (1+(N-1)*INCC)  
 *          The cosines of the plane rotations.  
 *  
 *  INCC    (input) INTEGER  
 *          The increment between elements of C. INCC > 0.  
 *  
 *  Further Details  
 *  ======= =======  
 *  
 *  6-6-96 - Modified with a new algorithm by W. Kahan and J. Demmel  
 *  
 *  This version has a few statements commented out for thread safety  
 *  (machine parameters are computed on each entry). 10 feb 03, SJH.  
 *  
 *  =====================================================================  *  =====================================================================
 *  *
 *     .. Parameters ..  *     .. Parameters ..
Removed from v.1.7  
changed lines
  Added in v.1.8

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