# clartg.f man page

clartg.f

## Synopsis

### Functions/Subroutines

subroutine **clartg** (F, G, CS, SN, R)**CLARTG** generates a plane rotation with real cosine and complex sine.

## Function/Subroutine Documentation

### subroutine clartg (complex F, complex G, real CS, complex SN, complex R)

**CLARTG** generates a plane rotation with real cosine and complex sine.

**Purpose:**

CLARTG 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 CROTG, 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.

**Parameters:**-
*F*F is COMPLEX The first component of vector to be rotated.

*G*G is COMPLEX The second component of vector to be rotated.

*CS*CS is REAL The cosine of the rotation.

*SN*SN is COMPLEX The sine of the rotation.

*R*R is COMPLEX The nonzero component of the rotated vector.

**Author:**-
Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

**Date:**December 2016

**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.

Definition at line 105 of file clartg.f.

## Author

Generated automatically by Doxygen for LAPACK from the source code.

## Referenced By

The man page clartg(3) is an alias of clartg.f(3).

Tue Nov 14 2017 Version 3.8.0 LAPACK