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