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/////////////////////////////////////////////////////////////
// //
// Copyright (c) 2003-2011 by The University of Queensland //
// Earth Systems Science Computational Centre (ESSCC) //
// http://www.uq.edu.au/esscc //
// //
// Primary Business: Brisbane, Queensland, Australia //
// Licensed under the Open Software License version 3.0 //
// http://www.opensource.org/licenses/osl-3.0.php //
// //
/////////////////////////////////////////////////////////////
#ifndef ESYS_LSM_IMPLINTERSECTIONVOLCALCULATOR_H
#define ESYS_LSM_IMPLINTERSECTIONVOLCALCULATOR_H
#include <math.h>
namespace esys
{
namespace lsm
{
namespace impl
{
double square(double val);
template <int tmplDim, typename TmplVec>
class DimBasicBox
{
public:
typedef TmplVec Vec;
DimBasicBox(const Vec &minPt, const Vec &maxPt);
const Vec &getMinPt() const;
const Vec &getMaxPt() const;
double getVolume() const;
template <typename TmplSphere>
bool intersectsWith(const TmplSphere &sphere) const;
bool intersectsWith(const Vec &pt) const;
template <typename TmplSphere>
bool contains(const TmplSphere &sphere) const;
private:
Vec m_minPt;
Vec m_maxPt;
};
template <int tmplDim, typename TmplVec>
class DimPlane
{
public:
typedef TmplVec Vec;
static double norm(const Vec &pt);
static double dot(const Vec &p1, const Vec &p2);
DimPlane();
DimPlane(const Vec &normal, const Vec &pt);
DimPlane(const DimPlane &plane);
DimPlane &operator=(const DimPlane &plane);
double getSignedDistanceTo(const Vec &pt) const;
double getDistanceTo(const Vec &pt) const;
const Vec &getNormal() const;
private:
Vec m_normal;
Vec m_pt;
double m_invNormalNorm;
};
template <int tmplDim, typename TmplVec>
class DimBasicSphere
{
public:
typedef TmplVec Vec;
typedef DimPlane<tmplDim, Vec> Plane;
static const double FOUR_THIRDS_PI;
static const double ONE_THIRD_PI;
DimBasicSphere();
DimBasicSphere(const Vec ¢rePt, double radius);
DimBasicSphere(const DimBasicSphere &sphere);
DimBasicSphere &operator=(const DimBasicSphere &sphere);
double getRadius() const;
const Vec &getCentre() const;
double getVolume() const;
double getVolume(const Vec &minPt, const Vec &maxPt, const int dimX = 0, const int dimY = 1) const;
bool intersectsWith(const Vec &pt) const;
double getSegmentVolume(const Plane &plane) const;
private:
Vec m_centre;
double m_radius;
};
template <int tmplDim, typename TmplVec>
class IntersectionVolCalculator
{
public:
typedef TmplVec Vec;
typedef DimBasicSphere<tmplDim,Vec> BasicSphere;
typedef DimBasicBox<tmplDim,Vec> BasicBox;
typedef DimPlane<tmplDim,Vec> Plane;
static Vec getNormal(int dim);
static Vec getNegNormal(int dim);
class VolumeSphere
{
public:
VolumeSphere();
VolumeSphere(const BasicSphere &sphere);
VolumeSphere(const VolumeSphere &sphere);
VolumeSphere &operator=(const VolumeSphere &sphere);
double getRadius() const;
const Vec &getCentre() const;
double getVolume() const;
double getVolume(const Vec &minPt, const Vec &maxPt, const int dimX = 0, const int dimY = 1) const;
double calcVolume() const;
bool intersectsWith(const Vec &pt) const;
double getSegmentVolume(const Plane &plane) const;
private:
BasicSphere m_sphere;
double m_volume;
};
class Vertex
{
public:
Vertex();
Vertex(const Vec &pt);
Vertex(const Vertex &vtx);
Vertex &operator=(const Vertex &vtx);
const Vec &getPoint() const;
void setPoint(const Vec &pt);
private:
Vec m_pt;
};
class VertexBox : public BasicBox
{
public:
VertexBox(const BasicBox &box);
VertexBox(const VertexBox &box);
VertexBox &operator=(const VertexBox &box);
void createVertices();
const Vertex &getVertex(int i) const;
static int getNumVertices();
private:
static const int s_numVertices = ((tmplDim == 2) ? 4 : 8);
Vertex m_vertexArray[s_numVertices];
};
IntersectionVolCalculator(const BasicBox &box);
const VolumeSphere &getSphere() const;
void setSphere(const BasicSphere &sphere);
const BasicBox &getBox() const;
const VertexBox &getVertexBox() const;
static Vec componentMin(const Vec &p1, const Vec &p2);
static Vec componentMax(const Vec &p1, const Vec &p2);
double getInsidePointVolume(const Vec &pt) const;
double getTwoPlaneVolume(const Vec &pt, const int orientDim) const;
double getOutsidePointVolume(const Vec &pt) const;
double getVolume(const Vertex &vtx);
double getVertexVolume(const BasicSphere &sphere);
bool sphereContainsBox(const BasicSphere &sphere) const;
double getVolume(const BasicSphere &sphere);
private:
VolumeSphere m_sphere;
VertexBox m_box;
};
}
}
}
#include "Geometry/IntersectionVolCalculator.hpp"
#endif
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