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---
:name: clar2v
:md5sum: 7ed20259419e6c0e94185c5273a1f5b6
:category: :subroutine
:arguments:
- n:
:type: integer
:intent: input
- x:
:type: complex
:intent: input/output
:dims:
- 1+(n-1)*incx
- y:
:type: complex
:intent: input/output
:dims:
- 1+(n-1)*incx
- z:
:type: complex
:intent: input/output
:dims:
- 1+(n-1)*incx
- incx:
:type: integer
:intent: input
- c:
:type: real
:intent: input
:dims:
- 1+(n-1)*incc
- s:
:type: complex
:intent: input
:dims:
- 1+(n-1)*incc
- incc:
:type: integer
:intent: input
:substitutions: {}
:fortran_help: " SUBROUTINE CLAR2V( N, X, Y, Z, INCX, C, S, INCC )\n\n\
* Purpose\n\
* =======\n\
*\n\
* CLAR2V applies a vector of complex plane rotations with real cosines\n\
* from both sides to a sequence of 2-by-2 complex Hermitian matrices,\n\
* defined by the elements of the vectors x, y and z. For i = 1,2,...,n\n\
*\n\
* ( x(i) z(i) ) :=\n\
* ( conjg(z(i)) y(i) )\n\
*\n\
* ( c(i) conjg(s(i)) ) ( x(i) z(i) ) ( c(i) -conjg(s(i)) )\n\
* ( -s(i) c(i) ) ( conjg(z(i)) y(i) ) ( s(i) c(i) )\n\
*\n\n\
* Arguments\n\
* =========\n\
*\n\
* N (input) INTEGER\n\
* The number of plane rotations to be applied.\n\
*\n\
* X (input/output) COMPLEX array, dimension (1+(N-1)*INCX)\n\
* The vector x; the elements of x are assumed to be real.\n\
*\n\
* Y (input/output) COMPLEX array, dimension (1+(N-1)*INCX)\n\
* The vector y; the elements of y are assumed to be real.\n\
*\n\
* Z (input/output) COMPLEX array, dimension (1+(N-1)*INCX)\n\
* The vector z.\n\
*\n\
* INCX (input) INTEGER\n\
* The increment between elements of X, Y and Z. INCX > 0.\n\
*\n\
* C (input) REAL array, dimension (1+(N-1)*INCC)\n\
* The cosines of the plane rotations.\n\
*\n\
* S (input) COMPLEX array, dimension (1+(N-1)*INCC)\n\
* The sines of the plane rotations.\n\
*\n\
* INCC (input) INTEGER\n\
* The increment between elements of C and S. INCC > 0.\n\
*\n\n\
* =====================================================================\n\
*\n\
* .. Local Scalars ..\n INTEGER I, IC, IX\n REAL CI, SII, SIR, T1I, T1R, T5, T6, XI, YI, ZII,\n $ ZIR\n COMPLEX SI, T2, T3, T4, ZI\n\
* ..\n\
* .. Intrinsic Functions ..\n INTRINSIC AIMAG, CMPLX, CONJG, REAL\n\
* ..\n"
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