CXML
        	    
LAPACK version 3.0
zlartg(3)

PURPOSE
  ZLARTG - generate a plane rotation so that  [ CS SN ] [ F ] [ R ] [ __ ]

SYNTAX
  SUBROUTINE ZLARTG( F, G, CS, SN, R )

      DOUBLE	     PRECISION CS

      COMPLEX*16     F, G, R, SN

DESCRIPTION
  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