NAME¶

CLARTG - generates a plane rotation so that [ CS SN ] [ F ] [ R ] [ __ ]

SYNOPSIS¶

SUBROUTINE CLARTG(

F, G, CS, SN, R )

REAL CS COMPLEX F, G, R, SN

PURPOSE¶

CLARTG generates a plane rotation so that
[ -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.

ARGUMENTS¶

F (input) COMPLEX

The first component of vector to be rotated.

G (input) COMPLEX

The second component of vector to be rotated.

CS (output) REAL

The cosine of the rotation.

SN (output) COMPLEX

The sine of the rotation.

R (output) COMPLEX

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.