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NAME

       LAPACK-3 - generate a plane rotation so that   [ CS SN ]

SYNOPSIS

       SUBROUTINE DLARTG( F, G, CS, SN, R )

           DOUBLE         PRECISION CS, F, G, R, SN

PURPOSE

       DLARTG generate a plane rotation so that
           [ -SN  CS  ]     [ G ]     [ 0 ]
        This is a slower, more accurate version of the BLAS1 routine DROTG,
        with the following other 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 (saves work in DBDSQR when
              there are zeros on the diagonal).
        If F exceeds G in magnitude, CS will be positive.

ARGUMENTS

        F       (input) DOUBLE PRECISION
                The first component of vector to be rotated.

        G       (input) DOUBLE PRECISION
                The second component of vector to be rotated.

        CS      (output) DOUBLE PRECISION
                The cosine of the rotation.

        SN      (output) DOUBLE PRECISION
                The sine of the rotation.

        R       (output) DOUBLE PRECISION
                The nonzero component of the rotated vector.
                This version has a few statements commented out for thread safety
                (machine parameters are computed on each entry). 10 feb 03, SJH.

 LAPACK auxiliary routine (version 3.2)     April 2011                            DLARTG(3lapack)