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source: branches/2789_MathNetNumerics-Exploration/HeuristicLab.Algorithms.DataAnalysis.Experimental/sbart/csrot.f @ 16409

Last change on this file since 16409 was 15457, checked in by gkronber, 7 years ago

#2789 added Finbarr O'Sullivan smoothing spline code

File size: 2.6 KB
Line 
1      SUBROUTINE CSROT( N, CX, INCX, CY, INCY, C, S )
2*
3*     .. Scalar Arguments ..
4      INTEGER           INCX, INCY, N
5      REAL              C, S
6*     ..
7*     .. Array Arguments ..
8      COMPLEX           CX( * ), CY( * )
9*     ..
10*
11*  Purpose
12*  =======
13*
14*  Applies a plane rotation, where the cos and sin (c and s) are real
15*  and the vectors cx and cy are complex.
16*  jack dongarra, linpack, 3/11/78.
17*
18*  Arguments
19*  ==========
20*
21*  N        (input) INTEGER
22*           On entry, N specifies the order of the vectors cx and cy.
23*           N must be at least zero.
24*           Unchanged on exit.
25*
26*  CX       (input) COMPLEX array, dimension at least
27*           ( 1 + ( N - 1 )*abs( INCX ) ).
28*           Before entry, the incremented array CX must contain the n
29*           element vector cx. On exit, CX is overwritten by the updated
30*           vector cx.
31*
32*  INCX     (input) INTEGER
33*           On entry, INCX specifies the increment for the elements of
34*           CX. INCX must not be zero.
35*           Unchanged on exit.
36*
37*  CY       (input) COMPLEX array, dimension at least
38*           ( 1 + ( N - 1 )*abs( INCY ) ).
39*           Before entry, the incremented array CY must contain the n
40*           element vector cy. On exit, CY is overwritten by the updated
41*           vector cy.
42*
43*  INCY     (input) INTEGER
44*           On entry, INCY specifies the increment for the elements of
45*           CY. INCY must not be zero.
46*           Unchanged on exit.
47*
48*  C        (input) REAL
49*           On entry, C specifies the cosine, cos.
50*           Unchanged on exit.
51*
52*  S        (input) REAL
53*           On entry, S specifies the sine, sin.
54*           Unchanged on exit.
55*
56*  =====================================================================
57*
58*     .. Local Scalars ..
59      INTEGER           I, IX, IY
60      COMPLEX           CTEMP
61*     ..
62*     .. Executable Statements ..
63*
64      IF( N.LE.0 )
65     $   RETURN
66      IF( INCX.EQ.1 .AND. INCY.EQ.1 )
67     $   GO TO 20
68*
69*        code for unequal increments or equal increments not equal
70*          to 1
71*
72      IX = 1
73      IY = 1
74      IF( INCX.LT.0 )
75     $   IX = ( -N+1 )*INCX + 1
76      IF( INCY.LT.0 )
77     $   IY = ( -N+1 )*INCY + 1
78      DO 10 I = 1, N
79         CTEMP = C*CX( IX ) + S*CY( IY )
80         CY( IY ) = C*CY( IY ) - S*CX( IX )
81         CX( IX ) = CTEMP
82         IX = IX + INCX
83         IY = IY + INCY
84   10 CONTINUE
85      RETURN
86*
87*        code for both increments equal to 1
88*
89   20 DO 30 I = 1, N
90         CTEMP = C*CX( I ) + S*CY( I )
91         CY( I ) = C*CY( I ) - S*CX( I )
92         CX( I ) = CTEMP
93   30 CONTINUE
94      RETURN
95      END
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