Files
NazaraEngine/include/Nazara/Math/Quaternion.inl
Lynix 9b3f4e794a Added Image
Added pixel format support
Added MemoryStream
Added Rect
Added ResourceLoader
Added generic loader (bmp, gif, hdr, jpg, jpeg, pic, png, psd, tga)
Added PCX loader
Added utility module initializer
Fixed Config.hpp include
Prerequesites.hpp now overwrites _WIN32_WINNT when defined
version is less than requiered version
Renderer's initialisation will implicitly initialize utility module
Removed RENDERER_SINGLETON option
Shaders are now resources
2012-05-21 21:54:13 +02:00

330 lines
6.3 KiB
C++

// Copyright (C) 2012 Rémi Bèges
// Jérôme Leclercq
// This file is part of the "Nazara Engine".
// For conditions of distribution and use, see copyright notice in Config.hpp
#include <Nazara/Core/StringStream.hpp>
#include <Nazara/Math/Basic.hpp>
#include <Nazara/Math/Config.hpp>
#include <Nazara/Math/EulerAngles.hpp>
#include <Nazara/Math/Vector3.hpp>
#include <Nazara/Core/Debug.hpp>
template<typename T>
NzQuaternion<T>::NzQuaternion()
{
}
template<typename T>
NzQuaternion<T>::NzQuaternion(T W, T X, T Y, T Z)
{
Set(W, X, Y, Z);
}
template<typename T>
NzQuaternion<T>::NzQuaternion(T quat[4])
{
Set(quat);
}
template<typename T>
NzQuaternion<T>::NzQuaternion(T angle, const NzVector3<T>& axis)
{
Set(angle, axis);
}
template<typename T>
NzQuaternion<T>::NzQuaternion(const NzEulerAngles<T>& angles)
{
Set(angles);
}
/*
template<typename T>
NzQuaternion<T>::NzQuaternion(const NzMatrix3<T>& mat)
{
Set(mat);
}
*/
template<typename T>
template<typename U>
NzQuaternion<T>::NzQuaternion(const NzQuaternion<U>& quat)
{
Set(quat);
}
template<typename T>
NzQuaternion<T> NzQuaternion<T>::GetConjugate() const
{
return NzQuaternion(w, -x, -y, -z);
}
template<typename T>
NzQuaternion<T> NzQuaternion<T>::GetNormalized() const
{
NzQuaternion<T> quat(*this);
quat.Normalize();
return quat;
}
template<typename T>
double NzQuaternion<T>::Magnitude() const
{
return std::sqrt(SquaredMagnitude());
}
template<typename T>
double NzQuaternion<T>::Normalize()
{
double length = Magnitude();
if (length != 0.0)
{
w /= length;
x /= length;
y /= length;
z /= length;
}
return length;
}
template<typename T>
T NzQuaternion<T>::SquaredMagnitude() const
{
return w * w + x * x + y * y + z * z;
}
template<typename T>
void NzQuaternion<T>::Set(T W, T X, T Y, T Z)
{
w = W;
x = X;
y = Y;
z = Z;
}
template<typename T>
void NzQuaternion<T>::Set(T quat[4])
{
w = quat[0];
x = quat[1];
y = quat[2];
z = quat[3];
}
template<typename T>
void NzQuaternion<T>::Set(T angle, const NzVector3<T>& normalizedAxis)
{
#if !NAZARA_MATH_ANGLE_RADIAN
angle = NzDegreeToRadian(angle);
#endif
angle /= 2;
auto sinAngle = std::sin(angle);
w = std::cos(angle);
x = normalizedAxis.x * sinAngle;
y = normalizedAxis.y * sinAngle;
z = normalizedAxis.z * sinAngle;
}
template<typename T>
void NzQuaternion<T>::Set(const NzEulerAngles<T>& angles)
{
Set(angles.ToQuaternion());
}
template<typename T>
template<typename U>
void NzQuaternion<T>::Set(const NzQuaternion<U>& quat)
{
w = static_cast<T>(quat.w);
x = static_cast<T>(quat.x);
y = static_cast<T>(quat.y);
z = static_cast<T>(quat.z);
}
template<typename T>
void NzQuaternion<T>::Set(const NzQuaternion& quat)
{
w = quat.w;
x = quat.x;
y = quat.y;
z = quat.z;
}
template<typename T>
void NzQuaternion<T>::SetIdentity()
{
Set(1.0, 0.0, 0.0, 0.0);
}
template<typename T>
void NzQuaternion<T>::SetZero()
{
Set(0.0, 0.0, 0.0, 0.0);
}
template<typename T>
NzEulerAngles<T> NzQuaternion<T>::ToEulerAngles() const
{
T test = x*y + z*w;
if (test > 0.499)
// singularity at north pole
return NzEulerAngles<T>(NzDegrees(90.0), NzRadians(2.0 * std::atan2(x, w)), 0.0);
if (test < -0.499)
return NzEulerAngles<T>(NzDegrees(-90.0), NzRadians(-2.0 * std::atan2(x, w)), 0.0);
T xx = x*x;
T yy = y*y;
T zz = z*z;
return NzEulerAngles<T>(NzRadians(std::atan2(2.0*x*w - 2.0*y*z, 1.0 - 2.0*xx - 2.0*zz)),
NzRadians(std::atan2(2.0*y*w - 2.0*x*z, 1.f - 2.0*yy - 2.0*zz)),
NzRadians(std::asin(2.0*test)));
}
template<typename T>
NzString NzQuaternion<T>::ToString() const
{
NzStringStream ss;
return ss << "Quaternion(" << w << " | " << x << ", " << y << ", " << z << ')';
}
template<typename T>
NzQuaternion<T> NzQuaternion<T>::operator+(const NzQuaternion& quat) const
{
return NzQuaternion(w + quat.w,
x + quat.x,
y + quat.y,
z + quat.z);
}
template<typename T>
NzQuaternion<T> NzQuaternion<T>::operator*(const NzQuaternion& quat) const
{
return NzQuaternion(w * quat.w - x * quat.x - y * quat.y - z * quat.z,
w * quat.x + x * quat.w + y * quat.z - z * quat.y,
w * quat.y + y * quat.w + z * quat.x - x * quat.z,
w * quat.z + z * quat.w + x * quat.y - y * quat.x);
}
template<typename T>
NzVector3<T> NzQuaternion<T>::operator*(const NzVector3<T>& vec) const
{
NzVector3<T> uv, uuv;
NzVector3<T> qvec(x, y, z);
uv = qvec.CrossProduct(vec);
uuv = qvec.CrossProduct(uv);
uv *= 2.0 * w;
uuv *= 2.0;
return vec + uv + uuv;
}
template<typename T>
NzQuaternion<T> NzQuaternion<T>::operator*(T scale) const
{
return NzQuaternion(w * scale,
x * scale,
y * scale,
z * scale);
}
template<typename T>
NzQuaternion<T> NzQuaternion<T>::operator/(const NzQuaternion& quat) const
{
return GetConjugate(quat) * (*this);
}
template<typename T>
NzQuaternion<T> NzQuaternion<T>::operator+=(const NzQuaternion& quat)
{
w += quat.w;
x += quat.x;
y += quat.y;
z += quat.z;
return *this;
}
template<typename T>
NzQuaternion<T> NzQuaternion<T>::operator*=(const NzQuaternion& quat)
{
NzQuaternion q(*this);
operator=(q * quat);
return *this;
}
template<typename T>
NzQuaternion<T> NzQuaternion<T>::operator*=(T scale)
{
w *= scale;
x *= scale;
y *= scale;
z *= scale;
return *this;
}
template<typename T>
NzQuaternion<T> NzQuaternion<T>::operator/=(const NzQuaternion& quat)
{
NzQuaternion q(*this);
operator=(q / quat);
return *this;
}
template<typename T>
bool NzQuaternion<T>::operator==(const NzQuaternion& quat) const
{
return NzNumberEquals(w, quat.w) &&
NzNumberEquals(x, quat.x) &&
NzNumberEquals(y, quat.y) &&
NzNumberEquals(z, quat.z);
}
template<typename T>
bool NzQuaternion<T>::operator!=(const NzQuaternion& quat) const
{
return !operator==(quat);
}
template<typename T>
bool NzQuaternion<T>::operator<(const NzQuaternion& quat) const
{
return w < quat.w && x < quat.x && y < quat.y && z < quat.z;
}
template<typename T>
bool NzQuaternion<T>::operator<=(const NzQuaternion& quat) const
{
return operator<(quat) || operator==(quat);
}
template<typename T>
bool NzQuaternion<T>::operator>(const NzQuaternion& quat) const
{
return !operator<=(quat);
}
template<typename T>
bool NzQuaternion<T>::operator>=(const NzQuaternion& quat) const
{
return !operator<(quat);
}
template<typename T>
std::ostream& operator<<(std::ostream& out, const NzQuaternion<T>& quat)
{
return out << quat.ToString();
}
#include <Nazara/Core/DebugOff.hpp>