clartg-f(3)

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 (complexF, complexG, realCS, complexSN, complexR)

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 is COMPLEX
 The first component of vector to be rotated.

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

 CS is REAL
 The cosine of the rotation.

 SN is COMPLEX
 The sine of the rotation.

 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:

September 2012

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 104 of file clartg.f.

Author

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