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      SUBROUTINE ZROTG(CA,CB,C,S)
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*     .. Scalar Arguments ..
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      DOUBLE COMPLEX CA,CB,S
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      DOUBLE PRECISION C
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*     ..
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*
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*  Purpose
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*  =======
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*
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*     determines a double complex Givens rotation.
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*
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*     .. Local Scalars ..
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      DOUBLE COMPLEX ALPHA
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      DOUBLE PRECISION NORM,SCALE
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*     ..
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*     .. Intrinsic Functions ..
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      INTRINSIC CDABS,DCMPLX,DCONJG,DSQRT
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*     ..
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      IF (CDABS(CA).NE.0.0d0) GO TO 10
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      C = 0.0d0
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      S = (1.0d0,0.0d0)
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      CA = CB
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      GO TO 20
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   10 CONTINUE
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      SCALE = CDABS(CA) + CDABS(CB)
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      NORM = SCALE*DSQRT((CDABS(CA/DCMPLX(SCALE,0.0d0)))**2+
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     +       (CDABS(CB/DCMPLX(SCALE,0.0d0)))**2)
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      ALPHA = CA/CDABS(CA)
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      C = CDABS(CA)/NORM
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      S = ALPHA*DCONJG(CB)/NORM
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      CA = ALPHA*NORM
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   20 CONTINUE
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      RETURN
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      END