Isles.h

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/*
(c) 2005, Supratik Mukhopadhayay, Nayana Majumdar
*/
#ifndef _Isles_H_
#define _Isles_H_
 
#ifdef DEFINE_ISLESGLOBAL
#define ISLESGLOBAL
#else
#define ISLESGLOBAL extern
#endif
 
#include <math.h>
 
#include "Vector.h"
 
#define MINDIST 1.0e-8
#define MINDIST2 1.0e-16
#define MINDIST3 1.0e-20
 
#define FarField 10.0  // Beyond FarField*ElementSize, use nodal expressions
#define FarField2 100.0
 
#define ST_PI 3.14159265358979323846
 
#ifdef __cplusplus
namespace neBEM { 
#endif
 
ISLESGLOBAL char ISLESVersion[10];
 
// Nb of times these get called: FailureCntr keeps a tab of how many times
// the exact expressions failed to evaluate.
ISLESGLOBAL int IslesCntr, ExactCntr, ApproxCntr, FailureCntr;
ISLESGLOBAL int ApproxFlag, DebugISLES;
ISLESGLOBAL FILE *fIsles;
 
// ECS: Element coordinate system
// GCS: Global coordinate system
 
// X, Y, Z defines the field point in the ECS whose origin is at the
// centre of the rectangular element, the element being in the XZ plane.
// lo and hi define the extent of the element.
ISLESGLOBAL int ExactRecSurf(double X, double Y, double Z, double xlo,
                             double zlo, double xhi, double zhi,
                             double *Potential, Vector3D *Flux);
 
ISLESGLOBAL int ApproxRecSurf(double X, double Y, double Z, double xlo,
                              double zlo, double xhi, double zhi, int xseg,
                              int zseg, double *Potential, Vector3D *Flux);
 
// X, Y, Z defines the field point in the ECS whose origin is at the right
// angle corner of a triangular element, the element being on the XZ plane.
// x extent is always from 0 to 1, while z is from 0 to zmax
ISLESGLOBAL int ExactTriSurf(double zMax, double X, double Y, double Z,
                             double *Potential, Vector3D *Flux);
 
ISLESGLOBAL int ApproxTriSurf(double zMax, double X, double Y, double Z,
                              int xseg, int zseg, double *Potential,
                              Vector3D *Flux);
 
// potential at the surfce of the thin wire
ISLESGLOBAL double ExactCentroidalP_W(double rW, double lW);
 
// potential along the axis of the thin wire
ISLESGLOBAL double ExactAxialP_W(double rW, double lW, double Z);
 
// axial field along the axis of the wire
ISLESGLOBAL double ExactAxialFZ_W(double rW, double lW, double Z);
 
ISLESGLOBAL double ApproxP_W(double rW, double lW, double X, double Y, double Z,
                             int zseg);
 
ISLESGLOBAL double ApproxFX_W(double rW, double lW, double X, double Y,
                              double Z, int zseg);
 
ISLESGLOBAL double ApproxFY_W(double rW, double lW, double X, double Y,
                              double Z, int zseg);
 
ISLESGLOBAL double ApproxFZ_W(double rW, double lW, double X, double Y,
                              double Z, int zseg);
 
ISLESGLOBAL int ApproxWire(double rW, double lW, double X, double Y, double Z,
                           int zseg, double *potential, Vector3D *Flux);
 
ISLESGLOBAL double ImprovedP_W(double rW, double lW, double X, double Y,
                               double Z);
 
ISLESGLOBAL double ImprovedFX_W(double rW, double lW, double X, double Y,
                                double Z);
 
ISLESGLOBAL double ImprovedFY_W(double rW, double lW, double X, double Y,
                                double Z);
 
ISLESGLOBAL double ImprovedFZ_W(double rW, double lW, double X, double Y,
                                double Z);
 
ISLESGLOBAL int ImprovedWire(double rW, double lW, double X, double Y, double Z,
                             double *potential, Vector3D *Flux);
 
// Potential and fluxes at a field point in the ECS due to a thin wire.
// The four functions yield the mentioned four parameters separately.
ISLESGLOBAL double ExactThinP_W(double rW, double lW, double X, double Y,
                                double Z);
 
ISLESGLOBAL double ExactThinFX_W(double rW, double lW, double X, double Y,
                                 double Z);
 
ISLESGLOBAL double ExactThinFY_W(double rW, double lW, double X, double Y,
                                 double Z);
 
ISLESGLOBAL double ExactThinFZ_W(double rW, double lW, double X, double Y,
                                 double Z);
 
ISLESGLOBAL int ExactThinWire(double rW, double lW, double X, double Y,
                              double Z, double *potential, Vector3D *Flux);
 
// All coordiantes and vectors are in the global co-ordinate system.
// In case of area (both triangular and rectangular), it is assumed that
// the +ve normal direction is obtained by
// \vec{P1-P0} \cross \vec{P2-P1}.
// Note that, according to our convention, the second point of a right
// triangle \vec{P1} is the right corner of the triangle.
ISLESGLOBAL double PointKnChPF(Point3D SourcePt, Point3D FieldPt,
                               Vector3D *globalF);
 
ISLESGLOBAL double LineKnChPF(Point3D LineStart, Point3D LineStop,
                              double radius, Point3D FieldPt,
                              Vector3D *globalF);
 
ISLESGLOBAL double AreaKnChPF(int NbVertices, Point3D *Vertices,
                              Point3D FieldPt, Vector3D *globalF);
 
ISLESGLOBAL double VolumeKnChPF(int NbPts, Point3D *Vertices, Point3D FieldPt,
                                Vector3D *globalF);
 
ISLESGLOBAL int Sign(double x);
 
#ifdef __cplusplus
} // namespace
#endif
 
#endif