--- rpl/lapack/lapack/zlartg.f 2010/12/21 13:53:52 1.7 +++ rpl/lapack/lapack/zlartg.f 2011/11/21 20:43:17 1.8 @@ -1,56 +1,118 @@ +*> \brief \b ZLARTG +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +*> \htmlonly +*> Download ZLARTG + dependencies +*> +*> [TGZ] +*> +*> [ZIP] +*> +*> [TXT] +*> \endhtmlonly +* +* Definition: +* =========== +* +* SUBROUTINE ZLARTG( F, G, CS, SN, R ) +* +* .. Scalar Arguments .. +* DOUBLE PRECISION CS +* COMPLEX*16 F, G, R, SN +* .. +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> ZLARTG generates a plane rotation so that +*> +*> [ CS SN ] [ F ] [ R ] +*> [ __ ] . [ ] = [ ] where CS**2 + |SN|**2 = 1. +*> [ -SN CS ] [ G ] [ 0 ] +*> +*> This is a faster version of the BLAS1 routine ZROTG, except for +*> the following differences: +*> F and G are unchanged on return. +*> If G=0, then CS=1 and SN=0. +*> If F=0, then CS=0 and SN is chosen so that R is real. +*> \endverbatim +* +* Arguments: +* ========== +* +*> \param[in] F +*> \verbatim +*> F is COMPLEX*16 +*> The first component of vector to be rotated. +*> \endverbatim +*> +*> \param[in] G +*> \verbatim +*> G is COMPLEX*16 +*> The second component of vector to be rotated. +*> \endverbatim +*> +*> \param[out] CS +*> \verbatim +*> CS is DOUBLE PRECISION +*> The cosine of the rotation. +*> \endverbatim +*> +*> \param[out] SN +*> \verbatim +*> SN is COMPLEX*16 +*> The sine of the rotation. +*> \endverbatim +*> +*> \param[out] R +*> \verbatim +*> R is COMPLEX*16 +*> The nonzero component of the rotated vector. +*> \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 +*> +*> 3-5-96 - 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 ZLARTG( F, G, CS, SN, R ) * -* -- LAPACK auxiliary routine (version 3.2) -- +* -- LAPACK auxiliary routine (version 3.4.0) -- * -- LAPACK is a software package provided by Univ. of Tennessee, -- * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- -* November 2006 +* November 2011 * * .. Scalar Arguments .. DOUBLE PRECISION CS COMPLEX*16 F, G, R, SN * .. * -* Purpose -* ======= -* -* ZLARTG generates a plane rotation so that -* -* [ CS SN ] [ F ] [ R ] -* [ __ ] . [ ] = [ ] where CS**2 + |SN|**2 = 1. -* [ -SN CS ] [ G ] [ 0 ] -* -* This is a faster version of the BLAS1 routine ZROTG, except for -* the following differences: -* F and G are unchanged on return. -* If G=0, then CS=1 and SN=0. -* If F=0, then CS=0 and SN is chosen so that R is real. -* -* Arguments -* ========= -* -* F (input) COMPLEX*16 -* The first component of vector to be rotated. -* -* G (input) COMPLEX*16 -* The second component of vector to be rotated. -* -* CS (output) DOUBLE PRECISION -* The cosine of the rotation. -* -* SN (output) COMPLEX*16 -* The sine of the rotation. -* -* R (output) COMPLEX*16 -* The nonzero component of the rotated vector. -* -* Further Details -* ======= ======= -* -* 3-5-96 - 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 ..