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*DECK PSPRAI
SUBROUTINE PSPRAI(MXSEG ,NPTS ,XYPOS ,CENTER,RCIRC ,
> NSEG ,IORDER,RADANG)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Find general closed Cartesian region intersections
* with annular region and order points for plotting.
*
*Copyright:
* Copyright (C) 2014 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
* MXSEG maximum number of segments.
* NPTS number of corners.
* XYPOS X and Y position of corners.
* CENTER X and Y position of annulus center.
* RCIRC annulus radius.
*
*Parameters: output
* NSEG number of region intersection.
* number of segments is NSEG-1
* IORDER type of region:
* = -2 arc segment begins;
* = -1 arc segment ends;
* = 0 close path;
* > 0 corner.
* RADANG segments intersection points
* with respect to annular region center:
* RADANG(1) = radial position;
* RADANG(2) = angular position.
*
*-----------------------------------------------------------------------
*
IMPLICIT NONE
INTEGER IOUT
CHARACTER NAMSBR*6
REAL PI
PARAMETER (IOUT=6,PI=3.1415926535897932,NAMSBR='PSPRAI')
*----
* ROUTINE PARAMETERS
*----
INTEGER MXSEG,NPTS,NSEG
INTEGER IORDER(MXSEG)
REAL XYPOS(2,NPTS),CENTER(2),RCIRC,
> RADANG(2,MXSEG)
*----
* LOCAL PARAMETERS
*----
INTEGER IPT,ICUR,INXT
REAL XYCUR(2),XYNXT(2),RADCUR,RADNXT,
> XANN,XANNI,XANNF,XANNT,YANNI,YANNF,YANNT,
> DELX,DELY,DELL,RCIRCM
*----
* SCAN OVER CORNERS AND SIDES
*----
* write(6,*) ' Circle ',MXSEG ,NPTS ,CENTER(1),CENTER(2),RCIRC
NSEG=1
IORDER(NSEG)=0
RCIRCM=0.0
DO IPT=1,NPTS
ICUR=IPT
INXT=MOD(IPT,NPTS)+1
XYCUR(1)=XYPOS(1,ICUR)-CENTER(1)
XYCUR(2)=XYPOS(2,ICUR)-CENTER(2)
XYNXT(1)=XYPOS(1,INXT)-CENTER(1)
XYNXT(2)=XYPOS(2,INXT)-CENTER(2)
RADCUR=SQRT(XYCUR(1)*XYCUR(1)+XYCUR(2)*XYCUR(2))
RADNXT=SQRT(XYNXT(1)*XYNXT(1)+XYNXT(2)*XYNXT(2))
* write(6,*) ' Point ',IPT ,ICUR ,XYCUR(1),XYCUR(2),
* > XYNXT(1),XYNXT(2),RADCUR,RADNXT,RADCUR-RCIRC
RCIRCM=RCIRC
IF(RADCUR .EQ. RCIRC) RCIRCM=RCIRCM+0.00001
*----
* WRITE(6,6002) IPT,XYCUR,XYNXT
* 6002 FORMAT('Line ',I5,5X,'Starts =',2F20.10,5X,'Ends =',2F20.10)
*----
* CHECK IF CURRENT CORNER IS LOCATED INSIDE
* ANNULAR REGIONS
*----
IF(RADCUR .LE. RCIRCM) THEN
IF(IORDER(NSEG) .NE. ICUR) THEN
*----
* IT IS LOCATED INSIDE
* SET IORDER TO IPT TO SPECIFY THIS POINT TO CORRESPOND TO
* CORNER IPT
*----
NSEG=NSEG+1
IORDER(NSEG)=ICUR
RADANG(1,NSEG)=RADCUR
IF(RADCUR .EQ. 0.0) THEN
RADANG(2,NSEG)=0.0
ELSE
RADANG(2,NSEG)=ATAN2(XYCUR(2),XYCUR(1))
ENDIF
ENDIF
ENDIF
*----
* Find line direction
*----
DELY=XYNXT(2)-XYCUR(2)
DELX=XYNXT(1)-XYCUR(1)
DELL=SQRT(DELY*DELY+DELX*DELX)
DELY=DELY/DELL
DELX=DELX/DELL
XANNI=XYCUR(1)*DELX+XYCUR(2)*DELY
YANNI=-XYCUR(1)*DELY+XYCUR(2)*DELX
XANNF=XYNXT(1)*DELX+XYNXT(2)*DELY
YANNF=-XYNXT(1)*DELY+XYNXT(2)*DELX
*----
* WRITE(6,6003) DELX,DELY,XANNI,YANNI,XANNF,YANNF
* 6003 FORMAT('Rotation ',2F20.10,5X,
* > 'Starts =',2F20.10,5X,'Ends =',2F20.10)
*----
IF(YANNI .GE. -RCIRCM .AND. YANNI .LE. RCIRCM) THEN
XANN=-SQRT(RCIRCM*RCIRCM-YANNI*YANNI)
IF(XANN .GE. XANNI .AND.
> XANN .LE. XANNF) THEN
NSEG=NSEG+1
IORDER(NSEG)=-1
RADANG(1,NSEG)=RCIRCM
XANNT=XANN*DELX-YANNI*DELY
YANNT=XANN*DELY+YANNI*DELX
RADANG(2,NSEG)=ATAN2(YANNT,XANNT)
ENDIF
XANN=-XANN
IF(XANN .GE. XANNI .AND.
> XANN .LE. XANNF) THEN
NSEG=NSEG+1
IORDER(NSEG)=-2
RADANG(1,NSEG)=RCIRCM
XANNT=XANN*DELX-YANNI*DELY
YANNT=XANN*DELY+YANNI*DELX
RADANG(2,NSEG)=ATAN2(YANNT,XANNT)
ENDIF
ENDIF
*----
* CHECK IF NEXT CORNER OF THE RECTANGLE IS LOCATED INSIDE
* ANNULAR REGIONS
*----
IF(RADNXT .LE. RCIRCM) THEN
*----
* IT IS LOCATED INSIDE
* SET IORDER TO IPT TO SPECIFY THIS POINT TO CORRESPOND TO
* CORNER IPT
*----
NSEG=NSEG+1
IORDER(NSEG) =INXT
RADANG(1,NSEG)=RADNXT
IF(RADNXT .EQ. 0.0) THEN
RADANG(2,NSEG)=0.0
ELSE
RADANG(2,NSEG)=ATAN2(XYNXT(2),XYNXT(1))
ENDIF
ENDIF
ENDDO
*----
* STORE LAST SEGMENT ALSO AT FIRST POSITION
* FOR CYCLIC TRACKING
*----
IF(NSEG .EQ. 1) THEN
NSEG=2
IORDER(1)=-2
RADANG(1,1)=RCIRCM
RADANG(2,1)=0.0
IORDER(2)=-1
RADANG(1,2)=RCIRCM
RADANG(2,2)=2.0*PI
ELSE
IORDER(1) =IORDER(NSEG)
RADANG(1,1)=RADANG(1,NSEG)
RADANG(2,1)=RADANG(2,NSEG)
ENDIF
* write(6,'(I5,2F20.10)') (IORDER(IPT),RADANG(1,IPT),RADANG(2,IPT),
* > IPT=1,NSEG)
RETURN
END
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