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+*DECK XELPSC
+ FUNCTION XELPSC(RANN,PLANE)
+*
+*-----------------------------------------------------------------------
+*
+*Purpose:
+* Compute annular surface below Cartesian plane.
+*
+*Copyright:
+* Copyright (C) 1997 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
+* RANN annular radius.
+* PLANE Cartesian plane location.
+*
+*Parameters: output
+* XELPSC annular surface below plane.
+*
+*-----------------------------------------------------------------------
+*
+ IMPLICIT NONE
+ DOUBLE PRECISION XELPSC,RANN,PLANE
+*----
+* LOCAL VARIABLES
+*----
+ DOUBLE PRECISION RANN2,PLANE2,ALPHA
+*----
+* METHOD
+* 1) FIND HALF-ANGLE COVERED BY THE TWO INTERSECTION POINTS
+* BETWEEN PLANE AND ANNULAR REGION
+* -- ALPHA=ACOS(-PLANE/RANN)
+* 2) COMPUTED ANNULAR SURFACE COVERED BY THIS HALF-ANGLE
+* -- 0.5*RANN2*ALPHA
+* 3) ADD SURFACE COVERED BY INTERNAL RECTANGLE IN THIS HALF-ANGLE
+* -- 0.5*PLANE*SQRT(RANN2-PLANE2)
+* 4) DOULBLE SURFACE FOR FULL ANGLE
+*----
+ RANN2=RANN*RANN
+ PLANE2=PLANE*PLANE
+ ALPHA=ACOS(-PLANE/RANN)
+ XELPSC=RANN2*ALPHA+PLANE*SQRT(RANN2-PLANE2)
+ RETURN
+ END