1ZLARTG(1)           LAPACK auxiliary routine (version 3.2)           ZLARTG(1)
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NAME

6       ZLARTG  - generates a plane rotation so that   [ CS SN ] [ F ] [ R ]  [
7       __ ]
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SYNOPSIS

10       SUBROUTINE ZLARTG( F, G, CS, SN, R )
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12           DOUBLE         PRECISION CS
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14           COMPLEX*16     F, G, R, SN
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PURPOSE

17       ZLARTG generates a plane rotation so that
18          [ -SN  CS  ]     [ G ]     [ 0 ]
19       This is a faster version of the BLAS1 routine  ZROTG,  except  for  the
20       following differences:
21          F and G are unchanged on return.
22          If G=0, then CS=1 and SN=0.
23          If F=0, then CS=0 and SN is chosen so that R is real.
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ARGUMENTS

26       F       (input) COMPLEX*16
27               The first component of vector to be rotated.
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29       G       (input) COMPLEX*16
30               The second component of vector to be rotated.
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32       CS      (output) DOUBLE PRECISION
33               The cosine of the rotation.
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35       SN      (output) COMPLEX*16
36               The sine of the rotation.
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38       R       (output) COMPLEX*16
39               The nonzero component of the rotated vector.
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FURTHER DETAILS

42       3-5-96  -  Modified with a new algorithm by W. Kahan and J. Demmel This
43       version has a few statements commented out for thread  safety  (machine
44       parameters are computed on each entry). 10 feb 03, SJH.
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48 LAPACK auxiliary routine (versionNo3v.e2m)ber 2008                       ZLARTG(1)