NazaraEngine/include/Nazara/Math/Sphere.inl

327 lines
5.9 KiB
C++

// Copyright (C) 2013 Jérôme Leclercq
// This file is part of the "Nazara Engine - Mathematics module"
// For conditions of distribution and use, see copyright notice in Config.hpp
#include <Nazara/Core/StringStream.hpp>
#include <Nazara/Math/Basic.hpp>
#include <algorithm>
#include <cstring>
#include <Nazara/Core/Debug.hpp>
#define F(a) static_cast<T>(a)
template<typename T>
NzSphere<T>::NzSphere(T X, T Y, T Z, T Radius)
{
Set(X, Y, Z, Radius);
}
/*
template<typename T>
NzSphere<T>::NzSphere(const NzCircle<T>& circle)
{
Set(rect);
}
*/
template<typename T>
NzSphere<T>::NzSphere(const NzVector3<T>& center, T Radius)
{
Set(center, Radius);
}
template<typename T>
NzSphere<T>::NzSphere(const T sphere[6])
{
Set(sphere);
}
template<typename T>
template<typename U>
NzSphere<T>::NzSphere(const NzSphere<U>& sphere)
{
Set(sphere);
}
template<typename T>
bool NzSphere<T>::Contains(T X, T Y, T Z) const
{
return Distance(X, Y, Z) < F(0.0);
}
/*
template<typename T>
bool NzSphere<T>::Contains(const NzBox<T>& box) const
{
}
*/
template<typename T>
bool NzSphere<T>::Contains(const NzVector3<T>& point) const
{
return Contains(point.x, point.y, point.z);
}
template<typename T>
T NzSphere<T>::Distance(T X, T Y, T Z) const
{
NzVector3<T> distance(X-x, Y-y, Z-z);
return distance.GetLength() - radius;
}
template<typename T>
T NzSphere<T>::Distance(const NzVector3<T>& point) const
{
return Distance(point.x, point.y, point.z);
}
template<typename T>
NzSphere<T>& NzSphere<T>::ExtendTo(T X, T Y, T Z)
{
T distance = Distance(X, Y, Z);
if (distance > F(0.0))
radius += distance;
return *this;
}
template<typename T>
NzSphere<T>& NzSphere<T>::ExtendTo(const NzVector3<T>& point)
{
return ExtendTo(point);
}
template<typename T>
NzVector3<T> NzSphere<T>::GetNegativeVertex(const NzVector3<T>& normal) const
{
NzVector3<T> neg(GetPosition());
neg -= normal * radius;
return neg;
}
template<typename T>
NzVector3<T> NzSphere<T>::GetPosition() const
{
return NzVector3<T>(x, y, z);
}
template<typename T>
NzVector3<T> NzSphere<T>::GetPositiveVertex(const NzVector3<T>& normal) const
{
NzVector3<T> pos(GetPosition());
pos += normal * radius;
return pos;
}
/*
template<typename T>
bool NzSphere<T>::Intersect(const NzBox<T>& box) const
{
}
*/
template<typename T>
bool NzSphere<T>::Intersect(const NzSphere& sphere) const
{
return Distance(sphere.x, sphere.y, sphere.z) <= sphere.radius;
}
template<typename T>
bool NzSphere<T>::IsValid() const
{
return radius > F(0.0);
}
template<typename T>
NzSphere<T>& NzSphere<T>::MakeZero()
{
x = F(0.0);
y = F(0.0);
z = F(0.0);
radius = F(0.0);
return *this;
}
template<typename T>
NzSphere<T>& NzSphere<T>::Set(T X, T Y, T Z, T Radius)
{
x = X;
y = Y;
z = Z;
radius = Radius;
return *this;
}
template<typename T>
NzSphere<T>& NzSphere<T>::Set(const NzVector3<T>& center, T Radius)
{
x = center.x;
y = center.y;
z = center.z;
radius = Radius;
return *this;
}
/*
template<typename T>
NzSphere<T>& NzSphere<T>::Set(const NzCircle<T>& circle)
{
x = circle.x;
y = circle.y;
z = F(0.0);
radius = circle.radius;
return *this;
}
*/
template<typename T>
NzSphere<T>& NzSphere<T>::Set(const NzSphere& sphere)
{
std::memcpy(this, &sphere, sizeof(NzSphere));
return *this;
}
template<typename T>
NzSphere<T>& NzSphere<T>::Set(const T sphere[4])
{
x = sphere[0];
y = sphere[1];
z = sphere[2];
radius = sphere[3];
return *this;
}
template<typename T>
template<typename U>
NzSphere<T>& NzSphere<T>::Set(const NzSphere<U>& sphere)
{
x = F(sphere.x);
y = F(sphere.y);
z = F(sphere.z);
radius = F(sphere.radius);
return *this;
}
template<typename T>
T NzSphere<T>::SquaredDistance(T X, T Y, T Z) const
{
NzVector3<T> distance(X-x, Y-y, Z-z);
return distance.SquaredLength() - radius*radius;
}
template<typename T>
T NzSphere<T>::SquaredDistance(const NzVector3<T>& point) const
{
return SquaredDistance(point.x, point.y, point.z);
}
template<typename T>
NzString NzSphere<T>::ToString() const
{
NzStringStream ss;
return ss << "Sphere(" << x << ", " << y << ", " << z << "; " << radius << ')';
}
template<typename T>
T& NzSphere<T>::operator[](unsigned int i)
{
#if NAZARA_MATH_SAFE
if (i >= 4)
{
NzStringStream ss;
ss << "Index out of range: (" << i << " >= 4)";
NazaraError(ss);
throw std::domain_error(ss.ToString());
}
#endif
return *(&x+i);
}
template<typename T>
T NzSphere<T>::operator[](unsigned int i) const
{
#if NAZARA_MATH_SAFE
if (i >= 4)
{
NzStringStream ss;
ss << "Index out of range: (" << i << " >= 4)";
NazaraError(ss);
throw std::domain_error(ss.ToString());
}
#endif
return *(&x+i);
}
template<typename T>
NzSphere<T> NzSphere<T>::operator*(T scalar) const
{
return NzSphere(x, y, z, radius*scalar);
}
template<typename T>
NzSphere<T>& NzSphere<T>::operator*=(T scalar)
{
radius *= scalar;
}
template<typename T>
bool NzSphere<T>::operator==(const NzSphere& sphere) const
{
return NzNumberEquals(x, sphere.x) && NzNumberEquals(y, sphere.y) && NzNumberEquals(z, sphere.z) &&
NzNumberEquals(radius, sphere.radius);
}
template<typename T>
bool NzSphere<T>::operator!=(const NzSphere& sphere) const
{
return !operator==(sphere);
}
template<typename T>
NzSphere<T> NzSphere<T>::Lerp(const NzSphere& from, const NzSphere& to, T interpolation)
{
#ifdef NAZARA_DEBUG
if (interpolation < F(0.0) || interpolation > F(1.0))
{
NazaraError("Interpolation must be in range [0..1] (Got " + NzString::Number(interpolation) + ')');
return Zero();
}
#endif
NzSphere sphere;
sphere.x = NzLerp(from.x, to.x, interpolation);
sphere.y = NzLerp(from.y, to.y, interpolation);
sphere.z = NzLerp(from.z, to.z, interpolation);
sphere.radius = NzLerp(from.radius, to.radius, interpolation);
return sphere;
}
template<typename T>
NzSphere<T> NzSphere<T>::Zero()
{
NzSphere sphere;
sphere.MakeZero();
return sphere;
}
template<typename T>
std::ostream& operator<<(std::ostream& out, const NzSphere<T>& sphere)
{
return out << sphere.ToString();
}
#undef F
#include <Nazara/Core/DebugOff.hpp>