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*DECK NXTIRR
FUNCTION NXTIRR(XYCAR ,XYPIN ,VOLINT)
*
*----------
*
*Purpose:
* Compute the volume of intersection between
* a rectangular region and a Cartesian pin.
* centered at the origin.
*
*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
* XYCAR spatial description of the Cartesian region with:
* XYCAR(1) for left face; XYCAR(2) for right face;
* XYCAR(3) for bottom face, XYCAR(4) for top face
* positions.
* XYPIN spatial description of the Cartesian pin region with
* XYPIN(1) for left face; XYPIN(2) for right face;
* XYPIN(3) for bottom face; XYPIN(4) for top face
* positions.
*
*Parameters: output
* NXTIRR type of intersection between Cartesian region and
* annular pin or annular region and Cartesian pin, where:
* =0 means that there is no intersection
* between the two regions;
* = 1 means that the Cartesian region
* is all located inside the Cartesian pin;
* = 2 means that the Cartesian pin
* is all located inside the Cartesian region;
* =-1 means that the intersection between
* the Cartesian region and the Cartesian pin is partial.
* VOLINT 2-D volume of intersection (area) between Cartesian region and
* Cartesian pin.
*
*Reference:
* G. Marleau,
* New Geometries Processing in DRAGON: The NXT: Module,
* Report IGE-260, Polytechnique Montreal,
* Montreal, 2005.
*
*----
*
IMPLICIT NONE
*----
* Subroutine arguments
*----
INTEGER NXTIRR
DOUBLE PRECISION XYCAR(4),XYPIN(4)
DOUBLE PRECISION VOLINT
*----
* Local parameters
*----
INTEGER IOUT
CHARACTER NAMSBR*6
PARAMETER (IOUT=6,NAMSBR='NXTIRR')
INTEGER IPRINT
PARAMETER (IPRINT=100)
DOUBLE PRECISION DCUTOF
PARAMETER (DCUTOF=1.0D-8)
DOUBLE PRECISION DZERO
PARAMETER (DZERO=0.0D0)
*----
* Functions
*----
INTEGER NXTPRR,ITYPRR
*----
* Local variables
*----
INTEGER IFACE
DOUBLE PRECISION VOLCAR,VOLPIN,XYINT(4)
DOUBLE PRECISION DT1,DT2,DT3
*----
* Initialize NXTIRR and VOLINT
*----
IF(IPRINT .GE. 200) THEN
WRITE(IOUT,6000) NAMSBR
WRITE(IOUT,6010) (XYCAR(IFACE),IFACE=1,4)
WRITE(IOUT,6011) (XYPIN(IFACE),IFACE=1,4)
ENDIF
NXTIRR=0
VOLINT=DZERO
VOLCAR=(XYCAR(2)-XYCAR(1))*(XYCAR(4)-XYCAR(3))
VOLPIN=(XYPIN(2)-XYPIN(1))*(XYPIN(4)-XYPIN(3))
*----
* Find rectangle of intersection between the two rectangles.
*----
ITYPRR=NXTPRR(XYCAR ,XYPIN ,XYINT )
*----
* For cases with intersection, compute volume of intersection
* and type of intersection
*----
IF(ITYPRR .NE. 0) THEN
VOLINT=(XYINT(2)-XYINT(1))*(XYINT(4)-XYINT(3))
DT1=ABS(VOLINT-VOLPIN)
DT2=ABS(VOLINT-VOLCAR)
DT3=ABS(VOLINT)
IF(DT1 .LT. DCUTOF) THEN
VOLINT=VOLPIN
NXTIRR=2
ELSE IF(DT2 .LT. DCUTOF) THEN
VOLINT=VOLCAR
NXTIRR=1
ELSE IF(DT3 .LT. DCUTOF) THEN
VOLINT=DZERO
NXTIRR=0
ELSE
NXTIRR=-1
ENDIF
ENDIF
IF(IPRINT .GE. 200) THEN
WRITE(IOUT,6012) NAMSBR,NXTIRR,VOLINT
WRITE(IOUT,6001) NAMSBR
ENDIF
RETURN
*----
* Output formats
*----
6000 FORMAT('(* Output from --',A6,'-- follows ')
6001 FORMAT(' Output from --',A6,'-- completed *)')
6010 FORMAT('XYCAR ={',3(F20.10,','),F20.10,'};')
6011 FORMAT('XYPIN ={',3(F20.10,','),F20.10,'};')
6012 FORMAT(A6,'={',I5,',',F20.10,'};')
END
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