NazaraEngine/include/Nazara/Math/Matrix4.inl

943 lines
35 KiB
C++

// Copyright (C) 2012 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/Core/Error.hpp>
#include <Nazara/Math/Basic.hpp>
#include <Nazara/Math/Config.hpp>
#include <Nazara/Math/EulerAngles.hpp>
#include <Nazara/Math/Quaternion.hpp>
#include <Nazara/Math/Vector2.hpp>
#include <Nazara/Math/Vector3.hpp>
#include <Nazara/Math/Vector4.hpp>
#include <cmath>
#include <cstring>
#include <limits>
#include <stdexcept>
//#include <Nazara/Core/Debug.hpp>
///FIXME: Le MLT détecte de faux-leaks ici (Problème lié aux inline ?)
#define F(a) static_cast<T>(a)
template<typename T>
NzMatrix4<T>::NzMatrix4()
{
}
template<typename T>
NzMatrix4<T>::NzMatrix4(T r11, T r12, T r13, T r14,
T r21, T r22, T r23, T r24,
T r31, T r32, T r33, T r34,
T r41, T r42, T r43, T r44)
{
Set(r11, r12, r13, r14,
r21, r22, r23, r24,
r31, r32, r33, r34,
r41, r42, r43, r44);
}
template<typename T>
NzMatrix4<T>::NzMatrix4(const T matrix[16])
{
Set(matrix);
}
template<typename T>
template<typename U>
NzMatrix4<T>::NzMatrix4(const NzMatrix4<U>& matrix)
{
Set(matrix);
}
template<typename T>
NzMatrix4<T>::NzMatrix4(const NzMatrix4& matrix)
{
Set(matrix);
}
template<typename T>
NzMatrix4<T>::NzMatrix4(NzMatrix4&& matrix) noexcept
{
Set(matrix);
}
template<typename T>
NzMatrix4<T>::~NzMatrix4()
{
ReleaseMatrix();
}
template<typename T>
NzMatrix4<T> NzMatrix4<T>::Concatenate(const NzMatrix4& matrix) const
{
return Concatenate(*this, matrix);
}
template<typename T>
NzMatrix4<T> NzMatrix4<T>::ConcatenateAffine(const NzMatrix4& matrix) const
{
return ConcatenateAffine(*this, matrix);
}
template<typename T>
T NzMatrix4<T>::GetDeterminant() const
{
#if NAZARA_MATH_SAFE
if (!IsDefined())
{
NazaraError("Matrix not defined");
return F(0.0);
}
#endif
T A = m_sharedMatrix->m22*(m_sharedMatrix->m33*m_sharedMatrix->m44 - m_sharedMatrix->m43*m_sharedMatrix->m34) - m_sharedMatrix->m32*(m_sharedMatrix->m23*m_sharedMatrix->m44 - m_sharedMatrix->m43*m_sharedMatrix->m24) + m_sharedMatrix->m42*(m_sharedMatrix->m23*m_sharedMatrix->m34 - m_sharedMatrix->m33*m_sharedMatrix->m24);
T B = m_sharedMatrix->m12*(m_sharedMatrix->m33*m_sharedMatrix->m44 - m_sharedMatrix->m43*m_sharedMatrix->m34) - m_sharedMatrix->m32*(m_sharedMatrix->m13*m_sharedMatrix->m44 - m_sharedMatrix->m43*m_sharedMatrix->m14) + m_sharedMatrix->m42*(m_sharedMatrix->m13*m_sharedMatrix->m34 - m_sharedMatrix->m33*m_sharedMatrix->m14);
T C = m_sharedMatrix->m12*(m_sharedMatrix->m23*m_sharedMatrix->m44 - m_sharedMatrix->m43*m_sharedMatrix->m24) - m_sharedMatrix->m22*(m_sharedMatrix->m13*m_sharedMatrix->m44 - m_sharedMatrix->m43*m_sharedMatrix->m14) + m_sharedMatrix->m42*(m_sharedMatrix->m13*m_sharedMatrix->m24 - m_sharedMatrix->m23*m_sharedMatrix->m14);
T D = m_sharedMatrix->m12*(m_sharedMatrix->m23*m_sharedMatrix->m34 - m_sharedMatrix->m33*m_sharedMatrix->m24) - m_sharedMatrix->m22*(m_sharedMatrix->m13*m_sharedMatrix->m34 - m_sharedMatrix->m33*m_sharedMatrix->m14) + m_sharedMatrix->m32*(m_sharedMatrix->m13*m_sharedMatrix->m24 - m_sharedMatrix->m23*m_sharedMatrix->m14);
return m_sharedMatrix->m11*A - m_sharedMatrix->m21*B + m_sharedMatrix->m31*C - m_sharedMatrix->m41*D;
}
template<typename T>
NzMatrix4<T> NzMatrix4<T>::GetInverse() const
{
#if NAZARA_MATH_SAFE
if (!IsDefined())
{
NazaraError("Matrix not defined");
return NzMatrix4();
}
#endif
T det = GetDeterminant();
if (!NzNumberEquals(det, F(0.0)))
{
return NzMatrix4((m_sharedMatrix->m22*(m_sharedMatrix->m33*m_sharedMatrix->m44 - m_sharedMatrix->m34*m_sharedMatrix->m43) - m_sharedMatrix->m32*(m_sharedMatrix->m23*m_sharedMatrix->m44 - m_sharedMatrix->m43*m_sharedMatrix->m24) + m_sharedMatrix->m42*(m_sharedMatrix->m23*m_sharedMatrix->m34 - m_sharedMatrix->m33*m_sharedMatrix->m24)) / det,
-(m_sharedMatrix->m12*(m_sharedMatrix->m33*m_sharedMatrix->m44 - m_sharedMatrix->m43*m_sharedMatrix->m34) - m_sharedMatrix->m32*(m_sharedMatrix->m13*m_sharedMatrix->m44 - m_sharedMatrix->m43*m_sharedMatrix->m14) + m_sharedMatrix->m42*(m_sharedMatrix->m13*m_sharedMatrix->m34 - m_sharedMatrix->m33*m_sharedMatrix->m14)) / det,
(m_sharedMatrix->m12*(m_sharedMatrix->m23*m_sharedMatrix->m44 - m_sharedMatrix->m43*m_sharedMatrix->m24) - m_sharedMatrix->m22*(m_sharedMatrix->m13*m_sharedMatrix->m44 - m_sharedMatrix->m43*m_sharedMatrix->m14) + m_sharedMatrix->m42*(m_sharedMatrix->m13*m_sharedMatrix->m24 - m_sharedMatrix->m23*m_sharedMatrix->m14)) / det,
-(m_sharedMatrix->m12*(m_sharedMatrix->m23*m_sharedMatrix->m34 - m_sharedMatrix->m33*m_sharedMatrix->m24) - m_sharedMatrix->m22*(m_sharedMatrix->m13*m_sharedMatrix->m34 - m_sharedMatrix->m33*m_sharedMatrix->m14) + m_sharedMatrix->m32*(m_sharedMatrix->m13*m_sharedMatrix->m24 - m_sharedMatrix->m23*m_sharedMatrix->m14)) / det,
-(m_sharedMatrix->m21*(m_sharedMatrix->m33*m_sharedMatrix->m44 - m_sharedMatrix->m34*m_sharedMatrix->m43) - m_sharedMatrix->m23*(m_sharedMatrix->m31*m_sharedMatrix->m44 - m_sharedMatrix->m34*m_sharedMatrix->m41) + m_sharedMatrix->m24*(m_sharedMatrix->m31*m_sharedMatrix->m43 - m_sharedMatrix->m33*m_sharedMatrix->m41)) / det,
(m_sharedMatrix->m11*(m_sharedMatrix->m33*m_sharedMatrix->m44 - m_sharedMatrix->m34*m_sharedMatrix->m43) - m_sharedMatrix->m13*(m_sharedMatrix->m31*m_sharedMatrix->m44 - m_sharedMatrix->m34*m_sharedMatrix->m41) + m_sharedMatrix->m14*(m_sharedMatrix->m31*m_sharedMatrix->m43 - m_sharedMatrix->m33*m_sharedMatrix->m41)) / det,
-(m_sharedMatrix->m11*(m_sharedMatrix->m23*m_sharedMatrix->m44 - m_sharedMatrix->m24*m_sharedMatrix->m43) - m_sharedMatrix->m13*(m_sharedMatrix->m21*m_sharedMatrix->m44 - m_sharedMatrix->m24*m_sharedMatrix->m41) + m_sharedMatrix->m14*(m_sharedMatrix->m21*m_sharedMatrix->m43 - m_sharedMatrix->m23*m_sharedMatrix->m41)) / det,
(m_sharedMatrix->m11*(m_sharedMatrix->m23*m_sharedMatrix->m34 - m_sharedMatrix->m24*m_sharedMatrix->m33) - m_sharedMatrix->m13*(m_sharedMatrix->m21*m_sharedMatrix->m34 - m_sharedMatrix->m24*m_sharedMatrix->m31) + m_sharedMatrix->m14*(m_sharedMatrix->m21*m_sharedMatrix->m33 - m_sharedMatrix->m23*m_sharedMatrix->m31)) / det,
(m_sharedMatrix->m21*(m_sharedMatrix->m32*m_sharedMatrix->m44 - m_sharedMatrix->m34*m_sharedMatrix->m42) - m_sharedMatrix->m22*(m_sharedMatrix->m31*m_sharedMatrix->m44 - m_sharedMatrix->m34*m_sharedMatrix->m41) + m_sharedMatrix->m24*(m_sharedMatrix->m31*m_sharedMatrix->m42 - m_sharedMatrix->m32*m_sharedMatrix->m41)) / det,
-(m_sharedMatrix->m11*(m_sharedMatrix->m32*m_sharedMatrix->m44 - m_sharedMatrix->m34*m_sharedMatrix->m42) - m_sharedMatrix->m12*(m_sharedMatrix->m31*m_sharedMatrix->m44 - m_sharedMatrix->m34*m_sharedMatrix->m41) + m_sharedMatrix->m14*(m_sharedMatrix->m31*m_sharedMatrix->m42 - m_sharedMatrix->m32*m_sharedMatrix->m41)) / det,
(m_sharedMatrix->m11*(m_sharedMatrix->m22*m_sharedMatrix->m44 - m_sharedMatrix->m24*m_sharedMatrix->m42) - m_sharedMatrix->m12*(m_sharedMatrix->m21*m_sharedMatrix->m44 - m_sharedMatrix->m24*m_sharedMatrix->m41) + m_sharedMatrix->m14*(m_sharedMatrix->m21*m_sharedMatrix->m42 - m_sharedMatrix->m22*m_sharedMatrix->m41)) / det,
-(m_sharedMatrix->m11*(m_sharedMatrix->m22*m_sharedMatrix->m34 - m_sharedMatrix->m24*m_sharedMatrix->m32) - m_sharedMatrix->m12*(m_sharedMatrix->m21*m_sharedMatrix->m34 - m_sharedMatrix->m24*m_sharedMatrix->m31) + m_sharedMatrix->m14*(m_sharedMatrix->m21*m_sharedMatrix->m32 - m_sharedMatrix->m22*m_sharedMatrix->m31)) / det,
-(m_sharedMatrix->m21*(m_sharedMatrix->m32*m_sharedMatrix->m43 - m_sharedMatrix->m33*m_sharedMatrix->m42) - m_sharedMatrix->m22*(m_sharedMatrix->m31*m_sharedMatrix->m43 - m_sharedMatrix->m33*m_sharedMatrix->m41) + m_sharedMatrix->m23*(m_sharedMatrix->m31*m_sharedMatrix->m42 - m_sharedMatrix->m32*m_sharedMatrix->m41)) / det,
(m_sharedMatrix->m11*(m_sharedMatrix->m32*m_sharedMatrix->m43 - m_sharedMatrix->m33*m_sharedMatrix->m42) - m_sharedMatrix->m12*(m_sharedMatrix->m31*m_sharedMatrix->m43 - m_sharedMatrix->m33*m_sharedMatrix->m41) + m_sharedMatrix->m13*(m_sharedMatrix->m31*m_sharedMatrix->m42 - m_sharedMatrix->m32*m_sharedMatrix->m41)) / det,
-(m_sharedMatrix->m11*(m_sharedMatrix->m22*m_sharedMatrix->m43 - m_sharedMatrix->m23*m_sharedMatrix->m42) - m_sharedMatrix->m12*(m_sharedMatrix->m21*m_sharedMatrix->m43 - m_sharedMatrix->m23*m_sharedMatrix->m41) + m_sharedMatrix->m13*(m_sharedMatrix->m21*m_sharedMatrix->m42 - m_sharedMatrix->m22*m_sharedMatrix->m41)) / det,
(m_sharedMatrix->m11*(m_sharedMatrix->m22*m_sharedMatrix->m33 - m_sharedMatrix->m23*m_sharedMatrix->m32) - m_sharedMatrix->m12*(m_sharedMatrix->m21*m_sharedMatrix->m33 - m_sharedMatrix->m23*m_sharedMatrix->m31) + m_sharedMatrix->m13*(m_sharedMatrix->m21*m_sharedMatrix->m32 - m_sharedMatrix->m22*m_sharedMatrix->m31)) / det);
}
else
{
NazaraError("Matrix has no inverse");
return Identity();
}
}
template<typename T>
NzVector3<T> NzMatrix4<T>::GetScale() const
{
#if NAZARA_MATH_SAFE
if (!IsDefined())
{
NazaraError("Matrix not defined");
return NzVector3<T>();
}
#endif
return NzVector3<T>(std::sqrt(m_sharedMatrix->m11*m_sharedMatrix->m11 + m_sharedMatrix->m21*m_sharedMatrix->m21 + m_sharedMatrix->m31*m_sharedMatrix->m31),
std::sqrt(m_sharedMatrix->m12*m_sharedMatrix->m12 + m_sharedMatrix->m22*m_sharedMatrix->m22 + m_sharedMatrix->m32*m_sharedMatrix->m32),
std::sqrt(m_sharedMatrix->m13*m_sharedMatrix->m13 + m_sharedMatrix->m23*m_sharedMatrix->m23 + m_sharedMatrix->m33*m_sharedMatrix->m33));
}
template<typename T>
NzVector3<T> NzMatrix4<T>::GetTranslation() const
{
#if NAZARA_MATH_SAFE
if (!IsDefined())
{
NazaraError("Matrix not defined");
return NzVector3<T>();
}
#endif
return NzVector3<T>(m_sharedMatrix->m41, m_sharedMatrix->m42, m_sharedMatrix->m43);
}
template<typename T>
NzMatrix4<T> NzMatrix4<T>::GetTransposed() const
{
#if NAZARA_MATH_SAFE
if (!IsDefined())
{
NazaraError("Matrix not defined");
return NzMatrix4();
}
#endif
return NzMatrix4(m_sharedMatrix->m11, m_sharedMatrix->m21, m_sharedMatrix->m31, m_sharedMatrix->m41,
m_sharedMatrix->m12, m_sharedMatrix->m22, m_sharedMatrix->m32, m_sharedMatrix->m42,
m_sharedMatrix->m13, m_sharedMatrix->m23, m_sharedMatrix->m33, m_sharedMatrix->m43,
m_sharedMatrix->m14, m_sharedMatrix->m24, m_sharedMatrix->m34, m_sharedMatrix->m44);
}
template<typename T>
bool NzMatrix4<T>::HasNegativeScale() const
{
return GetDeterminant() < F(0.0);
}
template<typename T>
bool NzMatrix4<T>::HasScale() const
{
#if NAZARA_MATH_SAFE
if (!IsDefined())
{
NazaraError("Matrix not defined");
return false;
}
#endif
T t = m_sharedMatrix->m11*m_sharedMatrix->m11 + m_sharedMatrix->m21*m_sharedMatrix->m21 + m_sharedMatrix->m31*m_sharedMatrix->m31;
if (!NzNumberEquals(t, F(1.0)))
return true;
t = m_sharedMatrix->m12*m_sharedMatrix->m12 + m_sharedMatrix->m22*m_sharedMatrix->m22 + m_sharedMatrix->m32*m_sharedMatrix->m32;
if (!NzNumberEquals(t, F(1.0)))
return true;
t = m_sharedMatrix->m13*m_sharedMatrix->m13 + m_sharedMatrix->m23*m_sharedMatrix->m23 + m_sharedMatrix->m33*m_sharedMatrix->m33;
if (!NzNumberEquals(t, F(1.0)))
return true;
return false;
}
template<typename T>
bool NzMatrix4<T>::IsAffine() const
{
#if NAZARA_MATH_SAFE
if (!IsDefined())
{
NazaraError("Matrix not defined");
return false;
}
#endif
return NzNumberEquals(m_sharedMatrix->m14, F(0.0)) &&
NzNumberEquals(m_sharedMatrix->m24, F(0.0)) &&
NzNumberEquals(m_sharedMatrix->m34, F(0.0)) &&
NzNumberEquals(m_sharedMatrix->m44, F(1.0));
}
template<typename T>
bool NzMatrix4<T>::IsDefined() const
{
return m_sharedMatrix != nullptr;
}
template<typename T>
void NzMatrix4<T>::MakeIdentity()
{
Set(F(1.0), F(0.0), F(0.0), F(0.0),
F(0.0), F(1.0), F(0.0), F(0.0),
F(0.0), F(0.0), F(1.0), F(0.0),
F(0.0), F(0.0), F(0.0), F(1.0));
}
template<typename T>
void NzMatrix4<T>::MakeOrtho(T left, T top, T width, T height, T zNear, T zFar)
{
// http://msdn.microsoft.com/en-us/library/windows/desktop/bb204941(v=vs.85).aspx
Set(F(2.0)/(width-left), F(0.0), F(0.0), -(width+left)/(width-left),
F(0.0), F(2.0)/(top-height), F(0.0), -(top+height)/(top-height),
F(0.0), F(0.0), F(-2.0)/(zFar-zNear), -(zFar+zNear)/(zFar-zNear),
F(0.0), F(0.0), F(0.0), F(1.0));
}
template<typename T>
void NzMatrix4<T>::MakeLookAt(const NzVector3<T>& eye, const NzVector3<T>& target, const NzVector3<T>& up)
{
NzVector3<T> f = NzVector3<T>::Normalize(target - eye);
NzVector3<T> u(up.GetNormal());
NzVector3<T> s = NzVector3<T>::Normalize(f.CrossProduct(u));
u = s.CrossProduct(f);
Set(s.x, u.x, -f.x, T(0.0),
s.y, u.y, -f.y, T(0.0),
s.z, u.z, -f.z, T(0.0),
-s.DotProduct(eye), -u.DotProduct(eye), f.DotProduct(eye), T(1.0));
}
template<typename T>
void NzMatrix4<T>::MakePerspective(T angle, T ratio, T zNear, T zFar)
{
// http://msdn.microsoft.com/en-us/library/windows/desktop/bb204944(v=vs.85).aspx
#if NAZARA_MATH_ANGLE_RADIAN
angle /= F(2.0);
#else
angle = NzDegreeToRadian(angle/F(2.0));
#endif
T yScale = F(1.0) / std::tan(angle);
Set(yScale / ratio, F(0.0), F(0.0), F(0.0),
F(0.0), yScale, F(0.0), F(0.0),
F(0.0), F(0.0), zFar / (zNear-zFar), F(-1.0),
F(0.0), F(0.0), (zNear*zFar) / (zNear-zFar), F(0.0));
}
template<typename T>
void NzMatrix4<T>::MakeRotation(const NzQuaternion<T>& rotation)
{
// http://www.flipcode.com/documents/matrfaq.html#Q54
/*
| 2 2 |
| 1 - 2Y - 2Z 2XY + 2ZW 2XZ - 2YW |
| |
| 2 2 |
M = | 2XY - 2ZW 1 - 2X - 2Z 2YZ + 2XW |
| |
| 2 2 |
| 2XZ + 2YW 2YZ - 2XW 1 - 2X - 2Y |
| |
*/
///FIXME: À corriger (Rotation quaternino != rotation matricielle)
Set(F(1.0) - F(2.0)*rotation.y*rotation.y - F(2.0)*rotation.z*rotation.z,
F(2.0)*rotation.x*rotation.y + F(2.0)*rotation.z*rotation.w,
F(2.0)*rotation.x*rotation.z - F(2.0)*rotation.y*rotation.w,
F(0.0),
F(2.0)*rotation.x*rotation.y - F(2.0)*rotation.z*rotation.w,
F(1.0) - F(2.0)*rotation.x*rotation.x - F(2.0)*rotation.z*rotation.z,
F(2.0)*rotation.y*rotation.z + F(2.0)*rotation.x*rotation.w,
F(0.0),
F(2.0)*rotation.x*rotation.z + F(2.0)*rotation.y*rotation.w,
F(2.0)*rotation.y*rotation.z - F(2.0)*rotation.x*rotation.w,
F(1.0) - F(2.0)*rotation.x*rotation.x - F(2.0)*rotation.y*rotation.y,
F(0.0),
F(0.0),
F(0.0),
F(0.0),
F(1.0));
}
template<typename T>
void NzMatrix4<T>::MakeScale(const NzVector3<T>& scale)
{
Set(scale.x, F(0.0), F(0.0), F(0.0),
F(0.0), scale.y, F(0.0), F(0.0),
F(0.0), F(0.0), scale.z, F(0.0),
F(0.0), F(0.0), F(0.0), F(1.0));
}
template<typename T>
void NzMatrix4<T>::MakeTranslation(const NzVector3<T>& translation)
{
Set(F(1.0), F(0.0), F(0.0), F(0.0),
F(0.0), F(1.0), F(0.0), F(0.0),
F(0.0), F(0.0), F(1.0), F(0.0),
translation.x, translation.y, translation.z, F(1.0));
}
template<typename T>
void NzMatrix4<T>::MakeZero()
{
Set(F(0.0), F(0.0), F(0.0), F(0.0),
F(0.0), F(0.0), F(0.0), F(0.0),
F(0.0), F(0.0), F(0.0), F(0.0),
F(0.0), F(0.0), F(0.0), F(0.0));
}
template<typename T>
void NzMatrix4<T>::Set(T r11, T r12, T r13, T r14,
T r21, T r22, T r23, T r24,
T r31, T r32, T r33, T r34,
T r41, T r42, T r43, T r44)
{
EnsureOwnership();
m_sharedMatrix->m11 = r11;
m_sharedMatrix->m12 = r12;
m_sharedMatrix->m13 = r13;
m_sharedMatrix->m14 = r14;
m_sharedMatrix->m21 = r21;
m_sharedMatrix->m22 = r22;
m_sharedMatrix->m23 = r23;
m_sharedMatrix->m24 = r24;
m_sharedMatrix->m31 = r31;
m_sharedMatrix->m32 = r32;
m_sharedMatrix->m33 = r33;
m_sharedMatrix->m34 = r34;
m_sharedMatrix->m41 = r41;
m_sharedMatrix->m42 = r42;
m_sharedMatrix->m43 = r43;
m_sharedMatrix->m44 = r44;
}
template<typename T>
void NzMatrix4<T>::Set(const T matrix[16])
{
EnsureOwnership();
// Ici nous sommes certains de la continuité des éléments en mémoire
std::memcpy(&m_sharedMatrix->m11, matrix, 16*sizeof(T));
}
template<typename T>
void NzMatrix4<T>::Set(const NzMatrix4& matrix)
{
ReleaseMatrix();
m_sharedMatrix = matrix.m_sharedMatrix;
if (m_sharedMatrix)
{
NazaraMutexLock(m_sharedMatrix->mutex);
m_sharedMatrix->refCount++;
NazaraMutexUnlock(m_sharedMatrix->mutex);
}
}
template<typename T>
void NzMatrix4<T>::Set(NzMatrix4&& matrix)
{
std::swap(m_sharedMatrix, matrix.m_sharedMatrix);
}
template<typename T>
template<typename U>
void NzMatrix4<T>::Set(const NzMatrix4<U>& matrix)
{
Set(F(matrix.m_sharedMatrix->m11), F(matrix.m_sharedMatrix->m12), F(matrix.m_sharedMatrix->m13), F(matrix.m_sharedMatrix->m14),
F(matrix.m_sharedMatrix->m21), F(matrix.m_sharedMatrix->m22), F(matrix.m_sharedMatrix->m23), F(matrix.m_sharedMatrix->m24),
F(matrix.m_sharedMatrix->m31), F(matrix.m_sharedMatrix->m32), F(matrix.m_sharedMatrix->m33), F(matrix.m_sharedMatrix->m34),
F(matrix.m_sharedMatrix->m41), F(matrix.m_sharedMatrix->m42), F(matrix.m_sharedMatrix->m43), F(matrix.m_sharedMatrix->m44));
}
template<typename T>
void NzMatrix4<T>::SetRotation(const NzQuaternion<T>& rotation)
{
// http://www.flipcode.com/documents/matrfaq.html#Q54
EnsureOwnership();
m_sharedMatrix->m11 = F(1.0) - F(2.0)*rotation.y*rotation.y - F(2.0)*rotation.z*rotation.z;
m_sharedMatrix->m22 = F(1.0) - F(2.0)*rotation.x*rotation.x - F(2.0)*rotation.z*rotation.z;
m_sharedMatrix->m33 = F(1.0) - F(2.0)*rotation.x*rotation.x - F(2.0)*rotation.y*rotation.y;
m_sharedMatrix->m12 = F(2.0)*rotation.x*rotation.y - F(2.0)*rotation.z*rotation.w;
m_sharedMatrix->m13 = F(2.0)*rotation.x*rotation.z + F(2.0)*rotation.y*rotation.w;
m_sharedMatrix->m21 = F(2.0)*rotation.x*rotation.y + F(2.0)*rotation.z*rotation.w;
m_sharedMatrix->m23 = F(2.0)*rotation.y*rotation.z - F(2.0)*rotation.x*rotation.w;
m_sharedMatrix->m31 = F(2.0)*rotation.x*rotation.z - F(2.0)*rotation.y*rotation.w;
m_sharedMatrix->m32 = F(2.0)*rotation.y*rotation.z + F(2.0)*rotation.x*rotation.w;
}
template<typename T>
void NzMatrix4<T>::SetScale(const NzVector3<T>& scale)
{
EnsureOwnership();
m_sharedMatrix->m11 = scale.x;
m_sharedMatrix->m22 = scale.y;
m_sharedMatrix->m33 = scale.z;
}
template<typename T>
void NzMatrix4<T>::SetTranslation(const NzVector3<T>& translation)
{
EnsureOwnership();
m_sharedMatrix->m41 = translation.x;
m_sharedMatrix->m42 = translation.y;
m_sharedMatrix->m43 = translation.z;
m_sharedMatrix->m44 = F(1.0);
}
template<typename T>
NzString NzMatrix4<T>::ToString() const
{
if (!m_sharedMatrix)
return "Matrix4(undefined)";
NzStringStream ss;
return ss << "Matrix4(" << m_sharedMatrix->m11 << ", " << m_sharedMatrix->m12 << ", " << m_sharedMatrix->m13 << ", " << m_sharedMatrix->m14 << ",\n"
<< " " << m_sharedMatrix->m21 << ", " << m_sharedMatrix->m22 << ", " << m_sharedMatrix->m23 << ", " << m_sharedMatrix->m24 << ",\n"
<< " " << m_sharedMatrix->m31 << ", " << m_sharedMatrix->m32 << ", " << m_sharedMatrix->m33 << ", " << m_sharedMatrix->m34 << ",\n"
<< " " << m_sharedMatrix->m41 << ", " << m_sharedMatrix->m42 << ", " << m_sharedMatrix->m43 << ", " << m_sharedMatrix->m44 << ')';
}
template<typename T>
NzVector2<T> NzMatrix4<T>::Transform(const NzVector2<T>& vector, T z, T w) const
{
#if NAZARA_MATH_SAFE
if (!m_sharedMatrix)
{
NazaraError("Matrix not defined");
return vector;
}
#endif
return NzVector2<T>(m_sharedMatrix->m11*vector.x + m_sharedMatrix->m12*vector.y + m_sharedMatrix->m13*z + m_sharedMatrix->m14*w,
m_sharedMatrix->m21*vector.x + m_sharedMatrix->m22*vector.y + m_sharedMatrix->m23*z + m_sharedMatrix->m24*w);
}
template<typename T>
NzVector3<T> NzMatrix4<T>::Transform(const NzVector3<T>& vector, T w) const
{
#if NAZARA_MATH_SAFE
if (!m_sharedMatrix)
{
NazaraError("Matrix not defined");
return vector;
}
#endif
return NzVector3<T>(m_sharedMatrix->m11*vector.x + m_sharedMatrix->m12*vector.y + m_sharedMatrix->m13*vector.z + m_sharedMatrix->m14*w,
m_sharedMatrix->m21*vector.x + m_sharedMatrix->m22*vector.y + m_sharedMatrix->m23*vector.z + m_sharedMatrix->m24*w,
m_sharedMatrix->m31*vector.x + m_sharedMatrix->m32*vector.y + m_sharedMatrix->m33*vector.z + m_sharedMatrix->m34*w);
}
template<typename T>
NzVector4<T> NzMatrix4<T>::Transform(const NzVector4<T>& vector) const
{
#if NAZARA_MATH_SAFE
if (!m_sharedMatrix)
{
NazaraError("Matrix not defined");
return vector;
}
#endif
return NzVector4<T>(m_sharedMatrix->m11*vector.x + m_sharedMatrix->m12*vector.y + m_sharedMatrix->m13*vector.z + m_sharedMatrix->m14*vector.w,
m_sharedMatrix->m21*vector.x + m_sharedMatrix->m22*vector.y + m_sharedMatrix->m23*vector.z + m_sharedMatrix->m24*vector.w,
m_sharedMatrix->m31*vector.x + m_sharedMatrix->m32*vector.y + m_sharedMatrix->m33*vector.z + m_sharedMatrix->m34*vector.w,
m_sharedMatrix->m41*vector.x + m_sharedMatrix->m42*vector.y + m_sharedMatrix->m43*vector.z + m_sharedMatrix->m44*vector.w);
}
template<typename T>
NzMatrix4<T>& NzMatrix4<T>::Transpose()
{
#if NAZARA_MATH_SAFE
if (!m_sharedMatrix)
{
NazaraError("Matrix not defined");
return *this;
}
#endif
std::swap(m_sharedMatrix->m12, m_sharedMatrix->m21);
std::swap(m_sharedMatrix->m13, m_sharedMatrix->m31);
std::swap(m_sharedMatrix->m14, m_sharedMatrix->m41);
std::swap(m_sharedMatrix->m23, m_sharedMatrix->m32);
std::swap(m_sharedMatrix->m24, m_sharedMatrix->m42);
std::swap(m_sharedMatrix->m34, m_sharedMatrix->m43);
return *this;
}
template<typename T>
NzMatrix4<T>::operator NzString() const
{
return ToString();
}
template<typename T>
NzMatrix4<T>::operator T*()
{
#if NAZARA_MATH_SAFE
if (!m_sharedMatrix)
{
NazaraError("Matrix not defined");
return nullptr;
}
#endif
EnsureOwnership();
return &m_sharedMatrix->m11;
}
template<typename T>
NzMatrix4<T>::operator const T*() const
{
#if NAZARA_MATH_SAFE
if (!m_sharedMatrix)
{
NazaraError("Matrix not defined");
return nullptr;
}
#endif
return &m_sharedMatrix->m11;
}
template<typename T>
T& NzMatrix4<T>::operator()(unsigned int x, unsigned int y)
{
#if NAZARA_MATH_SAFE
if (x > 3 || y > 3)
{
NzStringStream ss;
ss << __FILE__ << ':' << __LINE__ << ": Index out of range: (" << x << ", " << y << ") > (3,3)";
throw std::out_of_range(ss.ToString());
}
#endif
EnsureOwnership();
return (&m_sharedMatrix->m11)[y*4+x];
}
template<typename T>
const T& NzMatrix4<T>::operator()(unsigned int x, unsigned int y) const
{
#if NAZARA_MATH_SAFE
if (!m_sharedMatrix)
{
NazaraError("Matrix not defined");
throw std::runtime_error("Tried to access element of Matrix not defined");
}
if (x > 3 || y > 3)
{
NzStringStream ss;
ss << __FILE__ << ':' << __LINE__ << ": Index out of range: (" << x << ", " << y << ") > (3,3)";
throw std::out_of_range(ss.ToString());
}
#endif
return (&m_sharedMatrix->m11)[y*4+x];
}
template<typename T>
NzMatrix4<T>& NzMatrix4<T>::operator=(const NzMatrix4& matrix)
{
Set(matrix);
return *this;
}
template<typename T>
NzMatrix4<T>& NzMatrix4<T>::operator=(NzMatrix4&& matrix) noexcept
{
Set(matrix);
return *this;
}
template<typename T>
NzMatrix4<T> NzMatrix4<T>::operator*(const NzMatrix4& matrix) const
{
return Concatenate(matrix);
}
template<typename T>
NzVector2<T> NzMatrix4<T>::operator*(const NzVector2<T>& vector) const
{
return Transform(vector);
}
template<typename T>
NzVector3<T> NzMatrix4<T>::operator*(const NzVector3<T>& vector) const
{
return Transform(vector);
}
template<typename T>
NzVector4<T> NzMatrix4<T>::operator*(const NzVector4<T>& vector) const
{
return Transform(vector);
}
template<typename T>
NzMatrix4<T> NzMatrix4<T>::operator*(T scalar) const
{
#if NAZARA_MATH_SAFE
if (!m_sharedMatrix)
{
NazaraError("Matrix not defined");
return *this;
}
#endif
return NzMatrix4(m_sharedMatrix->m11 * scalar, m_sharedMatrix->m12 * scalar, m_sharedMatrix->m13 * scalar, m_sharedMatrix->m14 * scalar,
m_sharedMatrix->m21 * scalar, m_sharedMatrix->m22 * scalar, m_sharedMatrix->m23 * scalar, m_sharedMatrix->m24 * scalar,
m_sharedMatrix->m31 * scalar, m_sharedMatrix->m32 * scalar, m_sharedMatrix->m33 * scalar, m_sharedMatrix->m34 * scalar,
m_sharedMatrix->m41 * scalar, m_sharedMatrix->m42 * scalar, m_sharedMatrix->m43 * scalar, m_sharedMatrix->m44 * scalar);
}
template<typename T>
NzMatrix4<T>& NzMatrix4<T>::operator*=(const NzMatrix4& matrix)
{
#if NAZARA_MATH_SAFE
if (!m_sharedMatrix)
{
NazaraError("Matrix not defined");
return *this;
}
#endif
Set(Concatenate(*this, matrix));
return *this;
}
template<typename T>
NzMatrix4<T>& NzMatrix4<T>::operator*=(T scalar)
{
#if NAZARA_MATH_SAFE
if (!m_sharedMatrix)
{
NazaraError("Matrix not defined");
return *this;
}
#endif
m_sharedMatrix->m11 *= scalar;
m_sharedMatrix->m12 *= scalar;
m_sharedMatrix->m13 *= scalar;
m_sharedMatrix->m14 *= scalar;
m_sharedMatrix->m21 *= scalar;
m_sharedMatrix->m22 *= scalar;
m_sharedMatrix->m23 *= scalar;
m_sharedMatrix->m24 *= scalar;
m_sharedMatrix->m31 *= scalar;
m_sharedMatrix->m32 *= scalar;
m_sharedMatrix->m33 *= scalar;
m_sharedMatrix->m34 *= scalar;
m_sharedMatrix->m41 *= scalar;
m_sharedMatrix->m42 *= scalar;
m_sharedMatrix->m43 *= scalar;
m_sharedMatrix->m44 *= scalar;
return *this;
}
template<typename T>
NzMatrix4<T> NzMatrix4<T>::Concatenate(const NzMatrix4& m1, const NzMatrix4& m2)
{
#if NAZARA_MATH_SAFE
if (!m1.IsDefined())
{
NazaraError("First matrix not defined");
return NzMatrix4();
}
if (!m2.IsDefined())
{
NazaraError("Second matrix not defined");
return NzMatrix4();
}
#endif
#if NAZARA_MATH_MATRIX4_CHECK_AFFINE
if (m1.IsAffine() && m2.IsAffine())
return ConcatenateAffine(m1, m2);
#endif
return NzMatrix4(m1.m_sharedMatrix->m11*m2.m_sharedMatrix->m11 + m1.m_sharedMatrix->m12*m2.m_sharedMatrix->m21 + m1.m_sharedMatrix->m13*m2.m_sharedMatrix->m31 + m1.m_sharedMatrix->m14*m2.m_sharedMatrix->m41,
m1.m_sharedMatrix->m11*m2.m_sharedMatrix->m12 + m1.m_sharedMatrix->m12*m2.m_sharedMatrix->m22 + m1.m_sharedMatrix->m13*m2.m_sharedMatrix->m32 + m1.m_sharedMatrix->m14*m2.m_sharedMatrix->m42,
m1.m_sharedMatrix->m11*m2.m_sharedMatrix->m13 + m1.m_sharedMatrix->m12*m2.m_sharedMatrix->m23 + m1.m_sharedMatrix->m13*m2.m_sharedMatrix->m33 + m1.m_sharedMatrix->m14*m2.m_sharedMatrix->m43,
m1.m_sharedMatrix->m11*m2.m_sharedMatrix->m14 + m1.m_sharedMatrix->m12*m2.m_sharedMatrix->m24 + m1.m_sharedMatrix->m13*m2.m_sharedMatrix->m34 + m1.m_sharedMatrix->m14*m2.m_sharedMatrix->m44,
m1.m_sharedMatrix->m21*m2.m_sharedMatrix->m11 + m1.m_sharedMatrix->m22*m2.m_sharedMatrix->m21 + m1.m_sharedMatrix->m23*m2.m_sharedMatrix->m31 + m1.m_sharedMatrix->m24*m2.m_sharedMatrix->m41,
m1.m_sharedMatrix->m21*m2.m_sharedMatrix->m12 + m1.m_sharedMatrix->m22*m2.m_sharedMatrix->m22 + m1.m_sharedMatrix->m23*m2.m_sharedMatrix->m32 + m1.m_sharedMatrix->m24*m2.m_sharedMatrix->m42,
m1.m_sharedMatrix->m21*m2.m_sharedMatrix->m13 + m1.m_sharedMatrix->m22*m2.m_sharedMatrix->m23 + m1.m_sharedMatrix->m23*m2.m_sharedMatrix->m33 + m1.m_sharedMatrix->m24*m2.m_sharedMatrix->m43,
m1.m_sharedMatrix->m21*m2.m_sharedMatrix->m14 + m1.m_sharedMatrix->m22*m2.m_sharedMatrix->m24 + m1.m_sharedMatrix->m23*m2.m_sharedMatrix->m34 + m1.m_sharedMatrix->m24*m2.m_sharedMatrix->m44,
m1.m_sharedMatrix->m31*m2.m_sharedMatrix->m11 + m1.m_sharedMatrix->m32*m2.m_sharedMatrix->m21 + m1.m_sharedMatrix->m33*m2.m_sharedMatrix->m31 + m1.m_sharedMatrix->m34*m2.m_sharedMatrix->m41,
m1.m_sharedMatrix->m31*m2.m_sharedMatrix->m12 + m1.m_sharedMatrix->m32*m2.m_sharedMatrix->m22 + m1.m_sharedMatrix->m33*m2.m_sharedMatrix->m32 + m1.m_sharedMatrix->m34*m2.m_sharedMatrix->m42,
m1.m_sharedMatrix->m31*m2.m_sharedMatrix->m13 + m1.m_sharedMatrix->m32*m2.m_sharedMatrix->m23 + m1.m_sharedMatrix->m33*m2.m_sharedMatrix->m33 + m1.m_sharedMatrix->m34*m2.m_sharedMatrix->m43,
m1.m_sharedMatrix->m31*m2.m_sharedMatrix->m14 + m1.m_sharedMatrix->m32*m2.m_sharedMatrix->m24 + m1.m_sharedMatrix->m33*m2.m_sharedMatrix->m34 + m1.m_sharedMatrix->m34*m2.m_sharedMatrix->m44,
m1.m_sharedMatrix->m41*m2.m_sharedMatrix->m11 + m1.m_sharedMatrix->m42*m2.m_sharedMatrix->m21 + m1.m_sharedMatrix->m43*m2.m_sharedMatrix->m31 + m1.m_sharedMatrix->m44*m2.m_sharedMatrix->m41,
m1.m_sharedMatrix->m41*m2.m_sharedMatrix->m12 + m1.m_sharedMatrix->m42*m2.m_sharedMatrix->m22 + m1.m_sharedMatrix->m43*m2.m_sharedMatrix->m32 + m1.m_sharedMatrix->m44*m2.m_sharedMatrix->m42,
m1.m_sharedMatrix->m41*m2.m_sharedMatrix->m13 + m1.m_sharedMatrix->m42*m2.m_sharedMatrix->m23 + m1.m_sharedMatrix->m43*m2.m_sharedMatrix->m33 + m1.m_sharedMatrix->m44*m2.m_sharedMatrix->m43,
m1.m_sharedMatrix->m41*m2.m_sharedMatrix->m14 + m1.m_sharedMatrix->m42*m2.m_sharedMatrix->m24 + m1.m_sharedMatrix->m43*m2.m_sharedMatrix->m34 + m1.m_sharedMatrix->m44*m2.m_sharedMatrix->m44);
}
template<typename T>
NzMatrix4<T> NzMatrix4<T>::ConcatenateAffine(const NzMatrix4& m1, const NzMatrix4& m2)
{
#if NAZARA_MATH_SAFE
if (!m1.IsDefined())
{
NazaraError("First matrix not defined");
return NzMatrix4();
}
if (!m2.IsDefined())
{
NazaraError("Second matrix not defined");
return NzMatrix4();
}
#endif
#ifdef NAZARA_DEBUG
if (!m1.IsAffine())
{
NazaraError("First matrix not affine");
return NzMatrix4();
}
if (!m2.IsAffine())
{
NazaraError("Second matrix not affine");
return NzMatrix4();
}
#endif
return NzMatrix4(m1.m_sharedMatrix->m11*m2.m_sharedMatrix->m11 + m1.m_sharedMatrix->m12*m2.m_sharedMatrix->m21 + m1.m_sharedMatrix->m13*m2.m_sharedMatrix->m31,
m1.m_sharedMatrix->m11*m2.m_sharedMatrix->m12 + m1.m_sharedMatrix->m12*m2.m_sharedMatrix->m22 + m1.m_sharedMatrix->m13*m2.m_sharedMatrix->m32,
m1.m_sharedMatrix->m11*m2.m_sharedMatrix->m13 + m1.m_sharedMatrix->m12*m2.m_sharedMatrix->m23 + m1.m_sharedMatrix->m13*m2.m_sharedMatrix->m33,
F(0.0),
m1.m_sharedMatrix->m21*m2.m_sharedMatrix->m11 + m1.m_sharedMatrix->m22*m2.m_sharedMatrix->m21 + m1.m_sharedMatrix->m23*m2.m_sharedMatrix->m31,
m1.m_sharedMatrix->m21*m2.m_sharedMatrix->m12 + m1.m_sharedMatrix->m22*m2.m_sharedMatrix->m22 + m1.m_sharedMatrix->m23*m2.m_sharedMatrix->m32,
m1.m_sharedMatrix->m21*m2.m_sharedMatrix->m13 + m1.m_sharedMatrix->m22*m2.m_sharedMatrix->m23 + m1.m_sharedMatrix->m23*m2.m_sharedMatrix->m33,
F(0.0),
m1.m_sharedMatrix->m31*m2.m_sharedMatrix->m11 + m1.m_sharedMatrix->m32*m2.m_sharedMatrix->m21 + m1.m_sharedMatrix->m33*m2.m_sharedMatrix->m31,
m1.m_sharedMatrix->m31*m2.m_sharedMatrix->m12 + m1.m_sharedMatrix->m32*m2.m_sharedMatrix->m22 + m1.m_sharedMatrix->m33*m2.m_sharedMatrix->m32,
m1.m_sharedMatrix->m31*m2.m_sharedMatrix->m13 + m1.m_sharedMatrix->m32*m2.m_sharedMatrix->m23 + m1.m_sharedMatrix->m33*m2.m_sharedMatrix->m33,
F(0.0),
m1.m_sharedMatrix->m41*m2.m_sharedMatrix->m11 + m1.m_sharedMatrix->m42*m2.m_sharedMatrix->m21 + m1.m_sharedMatrix->m43*m2.m_sharedMatrix->m31 + m2.m_sharedMatrix->m41,
m1.m_sharedMatrix->m41*m2.m_sharedMatrix->m12 + m1.m_sharedMatrix->m42*m2.m_sharedMatrix->m22 + m1.m_sharedMatrix->m43*m2.m_sharedMatrix->m32 + m2.m_sharedMatrix->m42,
m1.m_sharedMatrix->m41*m2.m_sharedMatrix->m13 + m1.m_sharedMatrix->m42*m2.m_sharedMatrix->m23 + m1.m_sharedMatrix->m43*m2.m_sharedMatrix->m33 + m2.m_sharedMatrix->m43,
F(1.0));
}
template<typename T>
NzMatrix4<T> NzMatrix4<T>::Identity()
{
NzMatrix4 matrix;
matrix.MakeIdentity();
return matrix;
}
template<typename T>
NzMatrix4<T> NzMatrix4<T>::LookAt(const NzVector3<T>& eye, const NzVector3<T>& target, const NzVector3<T>& up)
{
NzMatrix4 matrix;
matrix.MakeLookAt(eye, target, up);
return matrix;
}
template<typename T>
NzMatrix4<T> NzMatrix4<T>::Ortho(T left, T top, T width, T height, T zNear, T zFar)
{
NzMatrix4 matrix;
matrix.MakeOrtho(left, top, width, height, zNear, zFar);
return matrix;
}
template<typename T>
NzMatrix4<T> NzMatrix4<T>::Perspective(T angle, T ratio, T zNear, T zFar)
{
NzMatrix4 matrix;
matrix.MakePerspective(angle, ratio, zNear, zFar);
return matrix;
}
template<typename T>
NzMatrix4<T> NzMatrix4<T>::Rotate(const NzQuaternion<T>& rotation)
{
NzMatrix4 matrix;
matrix.MakeRotation(rotation);
return matrix;
}
template<typename T>
NzMatrix4<T> NzMatrix4<T>::Scale(const NzVector3<T>& scale)
{
NzMatrix4 matrix;
matrix.MakeScale(scale);
return matrix;
}
template<typename T>
NzMatrix4<T> NzMatrix4<T>::Translate(const NzVector3<T>& translation)
{
NzMatrix4 mat;
mat.MakeTranslation(translation);
return mat;
}
template<typename T>
NzMatrix4<T> NzMatrix4<T>::Zero()
{
NzMatrix4 matrix;
matrix.MakeZero();
return matrix;
}
template<typename T>
std::ostream& operator<<(std::ostream& out, const NzMatrix4<T>& matrix)
{
return out << matrix.ToString();
}
template<typename T>
NzMatrix4<T> operator*(T scale, const NzMatrix4<T>& matrix)
{
return matrix * scale;
}
template<typename T>
void NzMatrix4<T>::EnsureOwnership()
{
if (m_sharedMatrix)
{
NazaraLock(m_sharedMatrix->mutex);
if (m_sharedMatrix->refCount > 1)
{
m_sharedMatrix->refCount--;
SharedMatrix* sharedMatrix = new SharedMatrix;
std::memcpy(&sharedMatrix->m11, &m_sharedMatrix->m11, 16*sizeof(T));
}
}
else
m_sharedMatrix = new SharedMatrix;
}
template<typename T>
void NzMatrix4<T>::ReleaseMatrix()
{
if (!m_sharedMatrix)
return;
NazaraMutexLock(m_sharedMatrix->mutex);
bool freeSharedMatrix = (--m_sharedMatrix->refCount == 0);
NazaraMutexUnlock(m_sharedMatrix->mutex);
if (freeSharedMatrix)
delete m_sharedMatrix;
m_sharedMatrix = nullptr;
}
#undef F
#include <Nazara/Core/DebugOff.hpp>