# 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