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*DECK XCWHEX
SUBROUTINE XCWHEX(ANGD,RADC,SIDE,LINTER,XPOS,INDS,IMS)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Track outer hexagone for 2-D cluster geometry.
*
*Copyright:
* Copyright (C) 1991 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
* ANGD track angle.
* RADC Y-position of track > 0.
* SIDE side of hexagone.
* IMS surface merge.
*
*Parameters: output
* LINTER intersection logical.
* XPOS points of intersection.
* INDS surface of intersection.
*
*Comments:
* Equations for sides of hexagone YR(XR)
* SIDE 1: YR=-SQ3*XR+SQ3*SIDE ( 0 <=YR<= SQ3*SIDE/2)
* ( SIDE/2 <=XR<= SIDE )
* SIDE 2: YR= SQ3*SIDE/2 ( -SIDE/2 <=XR<= SIDE/2 )
* SIDE 3: YR= SQ3*XR+SQ3*SIDE ( 0 <=YR<= SQ3*SIDE/2)
* ( -SIDE <=XR<= -SIDE/2 )
* SIDE 4: YR=-SQ3*XR-SQ3*SIDE (-SQ3*SIDE/2 <=YR<= 0 )
* ( -SIDE <=XR<= -SIDE/2 )
* SIDE 5: YR=-SQ3*SIDE/2 ( -SIDE/2 <=XR<= SIDE/2 )
* SIDE 6: YR= SQ3*XR-SQ3*SIDE (-SQ3*SIDE/2 <=YR<= 0 )
* ( SIDE/2 <=XR<= SIDE )
* Equations for sides of hexagone XR(YR)
* SIDE 1: XR=-OSQ3*YR+SIDE ( 0 <=YR<= SQ3*SIDE/2)
* ( SIDE/2 <=XR<= SIDE )
* SIDE 3: XR= OSQ3*YR-SIDE ( 0 <=YR<= SQ3*SIDE/2)
* ( -SIDE <=XR<= -SIDE/2 )
* SIDE 4: XR=-OSQ3*YR-SIDE (-SQ3*SIDE/2 <=YR<= 0 )
* ( -SIDE <=XR<= -SIDE/2 )
* SIDE 6: XR= OSQ3*YR+SIDE (-SQ3*SIDE/2 <=YR<= 0 )
* ( SIDE/2 <=XR<= SIDE )
* TRACK EQUATION:
* YR= SQ3*(SLOPEY*XR+RINTY)
* OR XR= OSQ3*SLOPEX*YR-RINTX
*
*----------------------------------------------------------------------
*
PARAMETER (SQ3=1.73205080756887729,OSQ3=0.577350269189625795)
INTEGER IMS(6),INDS(2)
LOGICAL LINTER
REAL ANGD,RADC,SIDE,XPOS(2)
*----
YRINT=SQ3*SIDE
YLIM=0.5*YRINT
XLIM=0.5*SIDE
SINA=SIN(ANGD)
COSA=COS(ANGD)
LINTER=.FALSE.
IF(COSA.EQ.0.0) THEN
*----
* TRACK PARALLEL TO Y
*----
IF( RADC.LT. XLIM ) THEN
*----
* TRACK INTERCEPT SURFACE 5 AND 2
*----
IF(SINA.LT.0.0) THEN
INDS(2)=IMS(5)
INDS(1)=IMS(2)
ELSE
INDS(2)=IMS(2)
INDS(1)=IMS(5)
ENDIF
XPOS(2)=YLIM
XPOS(1)=-XPOS(2)
LINTER=.TRUE.
ELSE IF(RADC.LE.SIDE) THEN
*----
* TRACK INTERCEPT SURFACE 3 AND 4 OR 6 AND 1
*----
IF(SINA.LT.0.0) THEN
INDS(2)=IMS(3)
INDS(1)=IMS(4)
ELSE
INDS(2)=IMS(6)
INDS(1)=IMS(1)
ENDIF
XPOS(2)=YRINT-SQ3*RADC
XPOS(1)=-XPOS(2)
LINTER=.TRUE.
ENDIF
ELSE IF(SINA.EQ.0.0) THEN
*----
* TRACK PARALLEL TO X
*----
IF(RADC.LE.YLIM ) THEN
*----
* TRACK INTERCEPT SURFACE 6 AND 4
*----
INDS(2)=IMS(4)
INDS(1)=IMS(6)
XPOS(2)= OSQ3*RADC+SIDE
XPOS(1)=-XPOS(2)
LINTER=.TRUE.
ENDIF
ELSE
NSEG=0
COSAI=1.0/COSA
SINAI=1.0/SINA
SLOPEY=OSQ3*SINA*COSAI
SLOPEX=SQ3*COSA*SINAI
RINTY=OSQ3*RADC*COSAI
RINTX=RADC*SINAI
XREF=RADC*COSAI*SINA
OPSY=1.0/(1+SLOPEY)
OMSY=1.0/(1-SLOPEY)
XLSX=SLOPEX*XLIM
SPRY=SIDE+RINTY
SMRY=SIDE-RINTY
*----
* SURFACE 1: XR=(SIDE-RINTY)/(1+SLOPEY)
* (SIDE/2 <=XR<= SIDE)
*----
XR=SMRY*OPSY
IF( (XLIM.LE.XR) .AND. (XR.LE.SIDE) ) THEN
*----
* TRACK INTERSEPT SURFACE 1
*----
NSEG=NSEG+1
INDS(NSEG)=IMS(1)
XPOS(NSEG)=XR
ENDIF
*----
* SURFACE 2: XR= SLOPEX*SIDE/2-RINTX
* (-SIDE/2 <=XR<= SIDE/2)
*----
XR=XLSX-RINTX
IF( ABS(XR).LE.XLIM ) THEN
*----
* TRACK INTERSEPT SURFACE 2
*----
NSEG=NSEG+1
INDS(NSEG)=IMS(2)
XPOS(NSEG)=XR
IF(NSEG.EQ.2) GO TO 100
ENDIF
*----
* SURFACE 3: XR=-(SIDE-RINTY)/(1-SLOPEY)
* (-SIDE <=XR<= -SIDE/2)
*----
XR=-SMRY*OMSY
IF( (-SIDE.LE.XR) .AND. (XR.LE.-XLIM) )THEN
*----
* TRACK INTERSEPT SURFACE 3
*----
NSEG=NSEG+1
INDS(NSEG)=IMS(3)
XPOS(NSEG)=XR
IF(NSEG.EQ.2) GO TO 100
ENDIF
*----
* SURFACE 4: XR=-(SIDE+RINTY)/(1+SLOPEY)
* (-SIDE <=XR<= -SIDE/2)
*----
XR=-SPRY*OPSY
IF( (-SIDE.LE.XR) .AND. (XR.LE.-XLIM) ) THEN
*----
* TRACK INTERSEPT SURFACE 4
*----
NSEG=NSEG+1
INDS(NSEG)=IMS(4)
XPOS(NSEG)=XR
IF(NSEG.EQ.2) GO TO 100
ENDIF
*----
* SURFACE 5: XR=-SLOPEX*SIDE/2-RINTX
* (-SIDE/2 <=XR<= SIDE/2)
*----
XR=-XLSX-RINTX
IF( ABS(XR).LE.XLIM ) THEN
*----
* TRACK INTERSEPT SURFACE 5
*----
NSEG=NSEG+1
INDS(NSEG)=IMS(5)
XPOS(NSEG)=XR
IF(NSEG.EQ.2) GO TO 100
ENDIF
*----
* SURFACE 6: XR=(RINTY+SIDE)/(1-SLOPEY)
* (SIDE/2 <=XR<= SIDE)
*----
XR=SPRY*OMSY
IF( (XLIM.LE.XR) .AND. (XR.LE.SIDE) ) THEN
*----
* TRACK INTERSEPT SURFACE 6
*----
NSEG=NSEG+1
INDS(NSEG)=IMS(6)
XPOS(NSEG)=XR
ENDIF
100 CONTINUE
IF(NSEG.EQ.2) THEN
LINTER=.TRUE.
*----
* ROTATE HEXAGONE BY -ANGD
*----
XPOS(1)=XREF+XPOS(1)*COSAI
XPOS(2)=XREF+XPOS(2)*COSAI
IF( XPOS(1).GT.XPOS(2) ) THEN
INDT=INDS(2)
INDS(2)=INDS(1)
INDS(1)=INDT
XPOST=XPOS(2)
XPOS(2)=XPOS(1)
XPOS(1)=XPOST
ENDIF
ENDIF
ENDIF
RETURN
END
|
