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*DECK NXTRTL
SUBROUTINE NXTRTL(IPRINT,NDIM ,ITRN ,TRKORI,ANGLES,
> TRKORR,ANGROT)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Rotate tracking line according to reference turn.
*
*Copyright:
* Copyright (C) 2005 Ecole Polytechnique de Montreal
* This library is free software; you can redistribute it and/or
* modify it under the terms of the GNU Lesser General Public
* License as published by the Free Software Foundation; either
* version 2.1 of the License, or (at your option) any later version.
*
*Author(s):
* G. Marleau
*
*Parameters: input
* IPRINT print level.
* NDIM dimensions of problem.
* ITRN geometry original turn number.
* TRKORI original track origin.
* ANGLES original track direction.
*
*Parameters: output
* TRKORR rotated geometry track origin.
* ANGROT rotated geometry track direction.
*
*Reference:
* G. Marleau,
* New Geometries Processing in DRAGON: The NXT: Module,
* Report IGE-260, Polytechnique Montreal,
* Montreal, 2005.
*
*-----------------------------------------------------------------------
*
IMPLICIT NONE
*----
* Subroutine arguments
*----
INTEGER IPRINT,NDIM,ITRN
DOUBLE PRECISION TRKORI(NDIM),ANGLES(NDIM),
> TRKORR(NDIM),ANGROT(NDIM)
*----
* Local parameters
*----
INTEGER IOUT
CHARACTER NAMSBR*6
PARAMETER (IOUT=6,NAMSBR='NXTRTL')
DOUBLE PRECISION DZERO,DONE,DTWO
PARAMETER (DZERO=0.0D0,DONE=1.0D0,DTWO=2.0D0)
*----
* Local variables
*----
INTEGER IKT,IDIR
*----
* Processing starts:
* print routine openning output header if required
* and initialize various parameters.
*----
IF(IPRINT .GT. 1000) THEN
WRITE(IOUT,6000) NAMSBR
WRITE(IOUT,6011) 'Initial starting point ',
> (TRKORI(IDIR),IDIR=1,NDIM)
WRITE(IOUT,6011) 'Initial direction ',
> (ANGLES(IDIR),IDIR=1,NDIM)
ENDIF
*----
* Z axis reflection for 3-D problems
*----
IKT=ITRN
IF(NDIM .EQ. 3) THEN
IF(ITRN .GT. 12 ) THEN
IKT=IKT-12
TRKORR(NDIM)=-TRKORI(NDIM)
ANGROT(NDIM)=-ANGLES(NDIM)
ELSE
TRKORR(NDIM)=TRKORI(NDIM)
ANGROT(NDIM)=ANGLES(NDIM)
ENDIF
ENDIF
IF(IKT .EQ. 1) THEN
*----
* no turn in $X-Y$ plane
*----
DO IDIR=1,2
TRKORR(IDIR)=TRKORI(IDIR)
ANGROT(IDIR)=ANGLES(IDIR)
ENDDO
ELSE IF(IKT .EQ. 2) THEN
*----
* ROTATION OF -PI/2 OF GEOMETRY IMPLIES A ROTATION
* OF PI/2 OF LINE.
*----
TRKORR(1)=-TRKORI(2)
TRKORR(2)= TRKORI(1)
ANGROT(1)=-ANGLES(2)
ANGROT(2)= ANGLES(1)
ELSE IF(IKT .EQ. 3) THEN
*----
* ROTATION OF PI OF GEOMETRY IMPLIES A ROTATION
* OF -PI OF LINE.
*----
TRKORR(1)=-TRKORI(1)
TRKORR(2)=-TRKORI(2)
ANGROT(1)=-ANGLES(1)
ANGROT(2)=-ANGLES(2)
ELSE IF(IKT .EQ. 4) THEN
*----
* ROTATION OF -3*PI/2 OF GEOMETRY IMPLIES A ROTATION
* OF 3PI/2 OF LINE.
*----
TRKORR(1)= TRKORI(2)
TRKORR(2)=-TRKORI(1)
ANGROT(1)= ANGLES(2)
ANGROT(2)=-ANGLES(1)
ELSE IF(IKT .EQ. 5) THEN
*----
* REFLECTION WITH RESPECT TO AXIS // TO Y
*----
TRKORR(1)=-TRKORI(1)
TRKORR(2)= TRKORI(2)
ANGROT(1)=-ANGLES(1)
ANGROT(2)= ANGLES(2)
ELSE IF(IKT .EQ. 6) THEN
*----
* ROTATION OF PI/2 FOLLOWED BY
* REFLECTION WITH RESPECT TO AXIS // TO Y
* IMPLIES REFLECTION WITH RESPECT TO AXIS // TO Y
* FOLLOWED BY A ROTATION OF -PI/2 OF LINE.
*----
TRKORR(1)= TRKORI(2)
TRKORR(2)= TRKORI(1)
ANGROT(1)= ANGLES(2)
ANGROT(2)= ANGLES(1)
ELSE IF(IKT .EQ. 7) THEN
*----
* REFLECTION WITH RESPECT TO AXIS // TO X
*----
TRKORR(1)= TRKORI(1)
TRKORR(2)=-TRKORI(2)
ANGROT(1)= ANGLES(1)
ANGROT(2)=-ANGLES(2)
ELSE IF(IKT .EQ. 8) THEN
*----
* ROTATION OF PI/2 FOLLOWED BY
* REFLECTION WITH RESPECT TO AXIS // TO X
* IMPLIES REFLECTION WITH RESPECT TO AXIS // TO X
* FOLLOWED BY A ROTATION OF -PI/2 OF LINE.
*----
TRKORR(1)=-TRKORI(2)
TRKORR(2)=-TRKORI(1)
ANGROT(1)=-ANGLES(2)
ANGROT(2)=-ANGLES(1)
ENDIF
*----
* Processing finished:
* print routine closing output header if required
* and return
*----
IF(IPRINT .GT. 1000) THEN
WRITE(IOUT,6011) 'Final starting point ',
> (TRKORR(IDIR),IDIR=1,NDIM)
WRITE(IOUT,6011) 'Final direction ',
> (ANGROT(IDIR),IDIR=1,NDIM)
WRITE(IOUT,6001) NAMSBR
ENDIF
*----
* Output formats
*----
6000 FORMAT('(* Output from --',A6,'-- follows ')
6001 FORMAT(' Output from --',A6,'-- completed *)')
6011 FORMAT(2X,A24,1P,3E20.12)
END
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