zrot.f

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*> \brief \b ZROT applies a plane rotation with real cosine and complex sine to a pair of complex vectors.
*
*  =========== DOCUMENTATION ===========
*
* Online html documentation available at
*            http://www.netlib.org/lapack/explore-html/
*
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*> [TXT]</a>
*
*  Definition:
*  ===========
*
*       SUBROUTINE ZROT( N, CX, INCX, CY, INCY, C, S )
*
*       .. Scalar Arguments ..
*       INTEGER            INCX, INCY, N
*       DOUBLE PRECISION   C
*       COMPLEX*16         S
*       ..
*       .. Array Arguments ..
*       COMPLEX*16         CX( * ), CY( * )
*       ..
*
*
*> \par Purpose:
*  =============
*>
*> \verbatim
*>
*> ZROT applies a plane rotation, where the cos (C) is real and the
*> sin (S) is complex, and the vectors CX and CY are complex.
*> \endverbatim
*
*  Arguments:
*  ==========
*
*> \param[in] N
*> \verbatim
*>          N is INTEGER
*>          The number of elements in the vectors CX and CY.
*> \endverbatim
*>
*> \param[in,out] CX
*> \verbatim
*>          CX is COMPLEX*16 array, dimension (N)
*>          On input, the vector X.
*>          On output, CX is overwritten with C*X + S*Y.
*> \endverbatim
*>
*> \param[in] INCX
*> \verbatim
*>          INCX is INTEGER
*>          The increment between successive values of CX.  INCX <> 0.
*> \endverbatim
*>
*> \param[in,out] CY
*> \verbatim
*>          CY is COMPLEX*16 array, dimension (N)
*>          On input, the vector Y.
*>          On output, CY is overwritten with -CONJG(S)*X + C*Y.
*> \endverbatim
*>
*> \param[in] INCY
*> \verbatim
*>          INCY is INTEGER
*>          The increment between successive values of CY.  INCX <> 0.
*> \endverbatim
*>
*> \param[in] C
*> \verbatim
*>          C is DOUBLE PRECISION
*> \endverbatim
*>
*> \param[in] S
*> \verbatim
*>          S is COMPLEX*16
*>          C and S define a rotation
*>             [  C          S  ]
*>             [ -conjg(S)   C  ]
*>          where C*C + S*CONJG(S) = 1.0.
*> \endverbatim
*
*  Authors:
*  ========
*
*> \author Univ. of Tennessee
*> \author Univ. of California Berkeley
*> \author Univ. of Colorado Denver
*> \author NAG Ltd.
*
*> \ingroup rot
*
*  =====================================================================
      SUBROUTINE zrot( N, CX, INCX, CY, INCY, C, S )
*
*  -- LAPACK auxiliary routine --
*  -- LAPACK is a software package provided by Univ. of Tennessee,    --
*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
*
*     .. Scalar Arguments ..
      INTEGER            INCX, INCY, N
      DOUBLE PRECISION   C
      COMPLEX*16         S
*     ..
*     .. Array Arguments ..
      COMPLEX*16         CX( * ), CY( * )
*     ..
*
* =====================================================================
*
*     .. Local Scalars ..
      INTEGER            I, IX, IY
      COMPLEX*16         STEMP
*     ..
*     .. Intrinsic Functions ..
      INTRINSIC          dconjg
*     ..
*     .. Executable Statements ..
*
      IF( n.LE.0 )
     $   RETURN
      IF( incx.EQ.1 .AND. incy.EQ.1 )
     $   GO TO 20
*
*     Code for unequal increments or equal increments not equal to 1
*
      ix = 1
      iy = 1
      IF( incx.LT.0 )
     $   ix = ( -n+1 )*incx + 1
      IF( incy.LT.0 )
     $   iy = ( -n+1 )*incy + 1
      DO 10 i = 1, n
         stemp = c*cx( ix ) + s*cy( iy )
         cy( iy ) = c*cy( iy ) - dconjg( s )*cx( ix )
         cx( ix ) = stemp
         ix = ix + incx
         iy = iy + incy
   10 CONTINUE
      RETURN
*
*     Code for both increments equal to 1
*
   20 CONTINUE
      DO 30 i = 1, n
         stemp = c*cx( i ) + s*cy( i )
         cy( i ) = c*cy( i ) - dconjg( s )*cx( i )
         cx( i ) = stemp
   30 CONTINUE
      RETURN
      SUBROUTINE zrot( N, CX, INCX, CY, INCY, C, S ) …
      END