148 lines
3.7 KiB
Fortran
148 lines
3.7 KiB
Fortran
*> \brief \b CLARTV applies a vector of plane rotations with real cosines and complex sines to the elements of a pair of vectors.
|
|
*
|
|
* =========== DOCUMENTATION ===========
|
|
*
|
|
* Online html documentation available at
|
|
* http://www.netlib.org/lapack/explore-html/
|
|
*
|
|
*> \htmlonly
|
|
*> Download CLARTV + dependencies
|
|
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/clartv.f">
|
|
*> [TGZ]</a>
|
|
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/clartv.f">
|
|
*> [ZIP]</a>
|
|
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/clartv.f">
|
|
*> [TXT]</a>
|
|
*> \endhtmlonly
|
|
*
|
|
* Definition:
|
|
* ===========
|
|
*
|
|
* SUBROUTINE CLARTV( N, X, INCX, Y, INCY, C, S, INCC )
|
|
*
|
|
* .. Scalar Arguments ..
|
|
* INTEGER INCC, INCX, INCY, N
|
|
* ..
|
|
* .. Array Arguments ..
|
|
* REAL C( * )
|
|
* COMPLEX S( * ), X( * ), Y( * )
|
|
* ..
|
|
*
|
|
*
|
|
*> \par Purpose:
|
|
* =============
|
|
*>
|
|
*> \verbatim
|
|
*>
|
|
*> CLARTV applies a vector of complex plane rotations with real cosines
|
|
*> to elements of the complex vectors x and y. For i = 1,2,...,n
|
|
*>
|
|
*> ( x(i) ) := ( c(i) s(i) ) ( x(i) )
|
|
*> ( y(i) ) ( -conjg(s(i)) c(i) ) ( y(i) )
|
|
*> \endverbatim
|
|
*
|
|
* Arguments:
|
|
* ==========
|
|
*
|
|
*> \param[in] N
|
|
*> \verbatim
|
|
*> N is INTEGER
|
|
*> The number of plane rotations to be applied.
|
|
*> \endverbatim
|
|
*>
|
|
*> \param[in,out] X
|
|
*> \verbatim
|
|
*> X is COMPLEX array, dimension (1+(N-1)*INCX)
|
|
*> The vector x.
|
|
*> \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 array, dimension (1+(N-1)*INCY)
|
|
*> The vector y.
|
|
*> \endverbatim
|
|
*>
|
|
*> \param[in] INCY
|
|
*> \verbatim
|
|
*> INCY is INTEGER
|
|
*> The increment between elements of Y. INCY > 0.
|
|
*> \endverbatim
|
|
*>
|
|
*> \param[in] C
|
|
*> \verbatim
|
|
*> C is REAL array, dimension (1+(N-1)*INCC)
|
|
*> The cosines of the plane rotations.
|
|
*> \endverbatim
|
|
*>
|
|
*> \param[in] S
|
|
*> \verbatim
|
|
*> S is COMPLEX array, dimension (1+(N-1)*INCC)
|
|
*> The sines of the plane rotations.
|
|
*> \endverbatim
|
|
*>
|
|
*> \param[in] INCC
|
|
*> \verbatim
|
|
*> INCC is INTEGER
|
|
*> The increment between elements of C and S. INCC > 0.
|
|
*> \endverbatim
|
|
*
|
|
* Authors:
|
|
* ========
|
|
*
|
|
*> \author Univ. of Tennessee
|
|
*> \author Univ. of California Berkeley
|
|
*> \author Univ. of Colorado Denver
|
|
*> \author NAG Ltd.
|
|
*
|
|
*> \ingroup complexOTHERauxiliary
|
|
*
|
|
* =====================================================================
|
|
SUBROUTINE CLARTV( N, X, INCX, Y, INCY, C, S, INCC )
|
|
*
|
|
* -- 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 INCC, INCX, INCY, N
|
|
* ..
|
|
* .. Array Arguments ..
|
|
REAL C( * )
|
|
COMPLEX S( * ), X( * ), Y( * )
|
|
* ..
|
|
*
|
|
* =====================================================================
|
|
*
|
|
* .. Local Scalars ..
|
|
INTEGER I, IC, IX, IY
|
|
COMPLEX XI, YI
|
|
* ..
|
|
* .. Intrinsic Functions ..
|
|
INTRINSIC CONJG
|
|
* ..
|
|
* .. Executable Statements ..
|
|
*
|
|
IX = 1
|
|
IY = 1
|
|
IC = 1
|
|
DO 10 I = 1, N
|
|
XI = X( IX )
|
|
YI = Y( IY )
|
|
X( IX ) = C( IC )*XI + S( IC )*YI
|
|
Y( IY ) = C( IC )*YI - CONJG( S( IC ) )*XI
|
|
IX = IX + INCX
|
|
IY = IY + INCY
|
|
IC = IC + INCC
|
|
10 CONTINUE
|
|
RETURN
|
|
*
|
|
* End of CLARTV
|
|
*
|
|
END
|