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authorjason <jason@8a072113-8704-0410-8d35-dd094bca7971>2008-10-28 01:38:50 +0000
committerjason <jason@8a072113-8704-0410-8d35-dd094bca7971>2008-10-28 01:38:50 +0000
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Move LAPACK trunk into position.
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+ SUBROUTINE SLAR2V( 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( * ), S( * ), X( * ), Y( * ), Z( * )
+* ..
+*
+* Purpose
+* =======
+*
+* SLAR2V applies a vector of real plane rotations from both sides to
+* a sequence of 2-by-2 real symmetric matrices, defined by the elements
+* of the vectors x, y and z. For i = 1,2,...,n
+*
+* ( x(i) z(i) ) := ( c(i) s(i) ) ( x(i) z(i) ) ( c(i) -s(i) )
+* ( z(i) y(i) ) ( -s(i) c(i) ) ( z(i) y(i) ) ( s(i) c(i) )
+*
+* Arguments
+* =========
+*
+* N (input) INTEGER
+* The number of plane rotations to be applied.
+*
+* X (input/output) REAL array,
+* dimension (1+(N-1)*INCX)
+* The vector x.
+*
+* Y (input/output) REAL array,
+* dimension (1+(N-1)*INCX)
+* The vector y.
+*
+* Z (input/output) REAL 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) REAL 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, SI, T1, T2, T3, T4, T5, T6, XI, YI, ZI
+* ..
+* .. Executable Statements ..
+*
+ IX = 1
+ IC = 1
+ DO 10 I = 1, N
+ XI = X( IX )
+ YI = Y( IX )
+ ZI = Z( IX )
+ CI = C( IC )
+ SI = S( IC )
+ T1 = SI*ZI
+ T2 = CI*ZI
+ T3 = T2 - SI*XI
+ T4 = T2 + SI*YI
+ T5 = CI*XI + T1
+ T6 = CI*YI - T1
+ X( IX ) = CI*T5 + SI*T4
+ Y( IX ) = CI*T6 - SI*T3
+ Z( IX ) = CI*T4 - SI*T5
+ IX = IX + INCX
+ IC = IC + INCC
+ 10 CONTINUE
+*
+* End of SLAR2V
+*
+ RETURN
+ END