NAME

       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

                     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:
           November 2013

       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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