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*> \brief \b SLARTV
*
* =========== DOCUMENTATION ===========
*
* Online html documentation available at
* http://www.netlib.org/lapack/explore-html/
*
*> Download SLARTV + dependencies
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/slartv.f">
*> [TGZ]</a>
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/slartv.f">
*> [ZIP]</a>
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/slartv.f">
*> [TXT]</a>
*
* Definition
* ==========
*
* SUBROUTINE SLARTV( N, X, INCX, Y, INCY, C, S, INCC )
*
* .. Scalar Arguments ..
* INTEGER INCC, INCX, INCY, N
* ..
* .. Array Arguments ..
* REAL C( * ), S( * ), X( * ), Y( * )
* ..
*
* Purpose
* =======
*
*>\details \b Purpose:
*>\verbatim
*>
*> SLARTV applies a vector of real plane rotations to elements of the
*> real vectors x and y. For i = 1,2,...,n
*>
*> ( x(i) ) := ( c(i) s(i) ) ( x(i) )
*> ( y(i) ) ( -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 REAL 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 REAL 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 REAL 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.
*
*> \date November 2011
*
*> \ingroup realOTHERauxiliary
*
* =====================================================================
SUBROUTINE SLARTV( N, X, INCX, Y, INCY, C, S, INCC )
*
* -- LAPACK auxiliary routine (version 3.2) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
* November 2011
*
* .. Scalar Arguments ..
INTEGER INCC, INCX, INCY, N
* ..
* .. Array Arguments ..
REAL C( * ), S( * ), X( * ), Y( * )
* ..
*
* =====================================================================
*
* .. Local Scalars ..
INTEGER I, IC, IX, IY
REAL XI, YI
* ..
* .. 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 - S( IC )*XI
IX = IX + INCX
IY = IY + INCY
IC = IC + INCC
10 CONTINUE
RETURN
*
* End of SLARTV
*
END
|
