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+ SUBROUTINE CLAR2V( N, X, Y, Z, INCX, C, S, INCC )
+*
+* -- LAPACK auxiliary routine (version 3.1) --
+* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
+* November 2006
+*
+* .. Scalar Arguments ..
+ INTEGER INCC, INCX, N
+* ..
+* .. Array Arguments ..
+ REAL C( * )
+ COMPLEX S( * ), X( * ), Y( * ), Z( * )
+* ..
+*
+* Purpose
+* =======
+*
+* CLAR2V applies a vector of complex plane rotations with real cosines
+* from both sides to a sequence of 2-by-2 complex Hermitian matrices,
+* defined by the elements of the vectors x, y and z. For i = 1,2,...,n
+*
+* ( x(i) z(i) ) :=
+* ( conjg(z(i)) y(i) )
+*
+* ( c(i) conjg(s(i)) ) ( x(i) z(i) ) ( c(i) -conjg(s(i)) )
+* ( -s(i) c(i) ) ( conjg(z(i)) y(i) ) ( s(i) c(i) )
+*
+* Arguments
+* =========
+*
+* N (input) INTEGER
+* The number of plane rotations to be applied.
+*
+* X (input/output) COMPLEX array, dimension (1+(N-1)*INCX)
+* The vector x; the elements of x are assumed to be real.
+*
+* Y (input/output) COMPLEX array, dimension (1+(N-1)*INCX)
+* The vector y; the elements of y are assumed to be real.
+*
+* Z (input/output) COMPLEX array, dimension (1+(N-1)*INCX)
+* The vector z.
+*
+* INCX (input) INTEGER
+* The increment between elements of X, Y and Z. INCX > 0.
+*
+* C (input) REAL array, dimension (1+(N-1)*INCC)
+* The cosines of the plane rotations.
+*
+* S (input) COMPLEX array, dimension (1+(N-1)*INCC)
+* The sines of the plane rotations.
+*
+* INCC (input) INTEGER
+* The increment between elements of C and S. INCC > 0.
+*
+* =====================================================================
+*
+* .. Local Scalars ..
+ INTEGER I, IC, IX
+ REAL CI, SII, SIR, T1I, T1R, T5, T6, XI, YI, ZII,
+ $ ZIR
+ COMPLEX SI, T2, T3, T4, ZI
+* ..
+* .. Intrinsic Functions ..
+ INTRINSIC AIMAG, CMPLX, CONJG, REAL
+* ..
+* .. Executable Statements ..
+*
+ IX = 1
+ IC = 1
+ DO 10 I = 1, N
+ XI = REAL( X( IX ) )
+ YI = REAL( Y( IX ) )
+ ZI = Z( IX )
+ ZIR = REAL( ZI )
+ ZII = AIMAG( ZI )
+ CI = C( IC )
+ SI = S( IC )
+ SIR = REAL( SI )
+ SII = AIMAG( SI )
+ T1R = SIR*ZIR - SII*ZII
+ T1I = SIR*ZII + SII*ZIR
+ T2 = CI*ZI
+ T3 = T2 - CONJG( SI )*XI
+ T4 = CONJG( T2 ) + SI*YI
+ T5 = CI*XI + T1R
+ T6 = CI*YI - T1R
+ X( IX ) = CI*T5 + ( SIR*REAL( T4 )+SII*AIMAG( T4 ) )
+ Y( IX ) = CI*T6 - ( SIR*REAL( T3 )-SII*AIMAG( T3 ) )
+ Z( IX ) = CI*T3 + CONJG( SI )*CMPLX( T6, T1I )
+ IX = IX + INCX
+ IC = IC + INCC
+ 10 CONTINUE
+ RETURN
+*
+* End of CLAR2V
+*
+ END