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uLib/src/Math/Cylinder.h

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/*//////////////////////////////////////////////////////////////////////////////
// CMT Cosmic Muon Tomography project //////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////////
Copyright (c) 2014, Universita' degli Studi di Padova, INFN sez. di Padova
All rights reserved
Authors: Andrea Rigoni Garola < andrea.rigoni@pd.infn.it >
------------------------------------------------------------------
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 3.0 of the License, or (at your option) any later version.
This library is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public
License along with this library.
//////////////////////////////////////////////////////////////////////////////*/
#ifndef U_CYLINDER_H
#define U_CYLINDER_H
#include "Geometry.h"
#include "Core/Object.h"
#include "Math/Dense.h"
#include "Math/Transform.h"
namespace uLib {
/**
* @brief Represents a cylindrical volume.
*
* The cylinder orientation is defined by the Axis property (0=X, 1=Y, 2=Z).
* By default, it is aligned with the Y axis (Axis=1).
*/
class Cylinder : public TRS {
uLibTypeMacro(Cylinder, TRS)
ULIB_DECLARE_PROPERTIES(Cylinder)
public:
/**
* @brief PROPERTIES
*/
float Radius;
float Height;
int Axis;
/**
* @brief Default constructor. Aligns with Y by default.
*/
Cylinder() : m_LocalT(this), Radius(1.0), Height(1.0), Axis(1) {
this->Sync();
}
/**
* @brief Constructor with radius and height.
*/
Cylinder(float radius, float height, int axis = 1)
: m_LocalT(this), Radius(radius), Height(height), Axis(axis) {
this->Sync();
}
/**
* @brief Copy constructor.
*/
Cylinder(const Cylinder &copy)
: m_LocalT(this), TRS(copy), Radius(copy.Radius), Height(copy.Height), Axis(copy.Axis) {
this->Sync();
}
/**
* @brief Serialization template for property registration and persistence.
*/
template <class ArchiveT>
void serialize(ArchiveT & ar, const unsigned int version) {
ar & HRP(Radius);
ar & HRP(Height);
ar & boost::serialization::make_hrp_enum("Axis", Axis, {"X", "Y", "Z"});
ar & NVP("TRS", boost::serialization::base_object<TRS>(*this));
}
/** Sets the radius of the cylinder */
inline void SetRadius(float r) {
Radius = r;
this->Sync();
}
/** Gets the radius of the cylinder */
inline float GetRadius() const { return Radius; }
/** Sets the height of the cylinder */
inline void SetHeight(float h) {
Height = h;
this->Sync();
}
/** Gets the height of the cylinder */
inline float GetHeight() const { return Height; }
/** Sets the main axis (0=X, 1=Y, 2=Z) */
inline void SetAxis(int axis) {
Axis = axis;
this->Sync();
}
/** Gets the main axis */
inline int GetAxis() const { return Axis; }
/**
* @brief Returns the world transformation matrix.
*/
Matrix4f GetWorldMatrix() const { return m_LocalT.GetWorldMatrix(); }
/**
* @brief Returns the local transformation matrix.
*/
Matrix4f GetLocalMatrix() const { return m_LocalT.GetMatrix(); }
/**
* @brief Transforms local cylindrical coordinates to world space.
* @param r Local radius.
* @param theta Local angle in radians (around main axis).
* @param h Local height along main axis.
*/
inline Vector4f GetWorldPoint(float r, float theta, float h) const {
Vector3f p;
if (Axis == 0) p = Vector3f(h, r * std::cos(theta), r * std::sin(theta));
else if (Axis == 1) p = Vector3f(r * std::cos(theta), h, r * std::sin(theta));
else p = Vector3f(r * std::cos(theta), r * std::sin(theta), h);
return AffineTransform::GetWorldMatrix() * Vector4f(p.x(), p.y(), p.z(), 1.0f);
}
/**
* @brief Transforms a world point to cylindrical local space.
* @return Vector3f(r, theta, h)
*/
inline Vector3f GetCylindricalLocal(const Vector4f &world_v) const {
Vector4f local_v = AffineTransform::GetWorldMatrix().inverse() * world_v;
float r, theta, h;
if (Axis == 0) {
h = local_v.x();
r = std::sqrt(local_v.y() * local_v.y() + local_v.z() * local_v.z());
theta = std::atan2(local_v.z(), local_v.y());
} else if (Axis == 1) {
h = local_v.y();
r = std::sqrt(local_v.x() * local_v.x() + local_v.z() * local_v.z());
theta = std::atan2(local_v.z(), local_v.x());
} else {
h = local_v.z();
r = std::sqrt(local_v.x() * local_v.x() + local_v.y() * local_v.y());
theta = std::atan2(local_v.y(), local_v.x());
}
return Vector3f(r, theta, h);
}
/** Translate using transformation chain */
using AffineTransform::Translate;
/** Rotate using transformation chain */
using AffineTransform::Rotate;
/** Scale using transformation chain */
using AffineTransform::Scale;
signals:
/** Signal emitted when properties change */
virtual void Updated() override {
// 1. Synchronize local cylinder part (Radius/Height/Axis -> m_LocalT)
this->Sync();
// 2. Synchronize TRS part (position/rotation/scaling -> m_T) and emit signal
this->TRS::Updated();
}
private:
/** Synchronizes internal transformation with properties */
void Sync() {
m_LocalT = AffineTransform(this);
if (Axis == 0) m_LocalT.Scale(Vector3f(Height, Radius, Radius));
else if (Axis == 1) m_LocalT.Scale(Vector3f(Radius, Height, Radius));
else m_LocalT.Scale(Vector3f(Radius, Radius, Height));
}
private:
AffineTransform m_LocalT;
};
} // namespace uLib
#endif // U_CYLINDER_H