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clartg

 NAME
      CLARTG - generate 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 and (G .ne. 0), then CS=0 and SN=1 without doing
      any
            floating point operations.

 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.