Added Quaternion spheric interpolation

Fixed NzVector(2/3)::Length() and NzQuaternion::Magnitude() returning
double instead of template type
Added quaternion dot product
Added gitignore
This commit is contained in:
Lynix 2012-06-13 17:54:07 +02:00
parent e2a38b3790
commit 0f84f8eda8
7 changed files with 254 additions and 49 deletions

151
.gitignore vendored Normal file
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@ -0,0 +1,151 @@
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@ -26,11 +26,13 @@ template<typename T> class NzQuaternion
NzQuaternion(const NzQuaternion& quat) = default;
~NzQuaternion() = default;
T DotProduct(const NzQuaternion& vec) const;
NzQuaternion GetConjugate() const;
NzQuaternion GetNormalized() const;
double Magnitude() const;
double Normalize();
T Magnitude() const;
T Normalize();
T SquaredMagnitude() const;
void Set(T W, T X, T Y, T Z);
@ -47,14 +49,16 @@ template<typename T> class NzQuaternion
//NzMatrix3<T> ToRotationMatrix() const;
NzString ToString() const;
NzQuaternion operator+(const NzQuaternion& quat) const;
NzQuaternion operator*(const NzQuaternion& quat) const;
NzVector3<T> operator*(const NzVector3<T>& vec) const;
NzQuaternion operator*(T scale) const;
NzQuaternion operator/(const NzQuaternion& quat) const;
NzQuaternion operator*=(const NzQuaternion& quat);
NzQuaternion operator*=(T scale);
NzQuaternion operator/=(const NzQuaternion& quat);
NzQuaternion& operator+=(const NzQuaternion& quat);
NzQuaternion& operator*=(const NzQuaternion& quat);
NzQuaternion& operator*=(T scale);
NzQuaternion& operator/=(const NzQuaternion& quat);
bool operator==(const NzQuaternion& quat) const;
bool operator!=(const NzQuaternion& quat) const;
@ -63,6 +67,8 @@ template<typename T> class NzQuaternion
bool operator>(const NzQuaternion& quat) const;
bool operator>=(const NzQuaternion& quat) const;
static NzQuaternion Slerp(const NzQuaternion& quatA, const NzQuaternion& quatB, T interp);
T w, x, y, z;
};

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@ -52,6 +52,12 @@ NzQuaternion<T>::NzQuaternion(const NzQuaternion<U>& quat)
Set(quat);
}
template<typename T>
T NzQuaternion<T>::DotProduct(const NzQuaternion& vec) const
{
return w*vec.w + x*vec.x + y*vec.y + z.vec.z;
}
template<typename T>
NzQuaternion<T> NzQuaternion<T>::GetConjugate() const
{
@ -68,19 +74,19 @@ NzQuaternion<T> NzQuaternion<T>::GetNormalized() const
}
template<typename T>
double NzQuaternion<T>::Magnitude() const
T NzQuaternion<T>::Magnitude() const
{
return std::sqrt(SquaredMagnitude());
}
template<typename T>
double NzQuaternion<T>::Normalize()
T NzQuaternion<T>::Normalize()
{
T squaredLength = SquaredMagnitude();
if (std::fabs(squaredLength) > 0.00001 && std::fabs(squaredLength - 1.0) > 0.00001)
{
double length = std::sqrt(squaredLength);
T length = std::sqrt(squaredLength);
w /= length;
x /= length;
@ -90,7 +96,7 @@ double NzQuaternion<T>::Normalize()
return length;
}
else
return std::sqrt(squaredLength);
return 1.0; // Le quaternion est déjà normalisé
}
template<typename T>
@ -106,8 +112,6 @@ void NzQuaternion<T>::Set(T W, T X, T Y, T Z)
x = X;
y = Y;
z = Z;
Normalize();
}
template<typename T>
@ -117,8 +121,6 @@ void NzQuaternion<T>::Set(T quat[4])
x = quat[1];
y = quat[2];
z = quat[3];
Normalize();
}
template<typename T>
@ -175,6 +177,52 @@ void NzQuaternion<T>::SetZero()
Set(0.0, 0.0, 0.0, 0.0);
}
template<typename T>
NzQuaternion<T> NzQuaternion<T>::Slerp(const NzQuaternion& quatA, const NzQuaternion& quatB, T interp)
{
if (interp <= 0.0)
return quatA;
if (interp >= 1.0)
return quatB;
NzQuaternion q;
T cosOmega = quatA.DotProduct(quatB);
if (cosOmega < 0.0)
{
// On inverse tout
q.Set(-quatB.w, -quatB.x, -quatB.y, -quatB.z);
cosOmega = -cosOmega;
}
else
q.Set(quatB);
T k0, k1;
if (cosOmega > 0.9999)
{
// Interpolation linéaire pour éviter une division par zéro
k0 = 1.0 - interp;
k1 = interp;
}
else
{
T sinOmega = std::sqrt(1.0f - (cosOmega * cosOmega));
T omega = std::atan2(sinOmega, cosOmega);
// Pour éviter deux divisions
sinOmega = 1/sinOmega;
k0 = std::sin((1.0 - interp) * omega) * sinOmega;
k1 = std::sin(interp * omega) * sinOmega;
}
/* interpolate and return new quaternion */
NzQuaternion result(k0 * quatA.w, k0 * quatA.x, k0 * quatA.y, k0 * quatA.z);
return result += q;
}
template<typename T>
NzEulerAngles<T> NzQuaternion<T>::ToEulerAngles() const
{
@ -203,17 +251,22 @@ NzString NzQuaternion<T>::ToString() const
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
{
NzQuaternion result(w * quat.w - x * quat.x - y * quat.y - z * quat.z,
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);
result.Normalize();
return result;
}
template<typename T>
@ -223,9 +276,7 @@ NzVector3<T> NzQuaternion<T>::operator*(const NzVector3<T>& vec) const
normal.Normalise();
NzQuaternion qvec(0.0, normal.x, normal.y, normal.z);
NzQuaternion result;
result = operator*(qvec * GetConjugate());
NzQuaternion result = operator*(qvec * GetConjugate());
return NzVector3<T>(result.x, result.y, result.z);
@ -247,30 +298,27 @@ NzQuaternion<T> NzQuaternion<T>::operator/(const NzQuaternion& quat) const
}
template<typename T>
NzQuaternion<T> NzQuaternion<T>::operator*=(const NzQuaternion& quat)
NzQuaternion<T>& NzQuaternion<T>::operator+=(const NzQuaternion& quat)
{
NzQuaternion q(*this);
return operator=(q * quat);
return operator=(operator+(quat));
}
template<typename T>
NzQuaternion<T> NzQuaternion<T>::operator*=(T scale)
NzQuaternion<T>& NzQuaternion<T>::operator*=(const NzQuaternion& quat)
{
w *= scale;
x *= scale;
y *= scale;
z *= scale;
return *this;
return operator=(operator*(quat));
}
template<typename T>
NzQuaternion<T> NzQuaternion<T>::operator/=(const NzQuaternion& quat)
NzQuaternion<T>& NzQuaternion<T>::operator*=(T scale)
{
NzQuaternion q(*this);
return operator=(operator*(scale));
}
return operator=(q / quat);
template<typename T>
NzQuaternion<T>& NzQuaternion<T>::operator/=(const NzQuaternion& quat)
{
return operator=(operator/(quat));
}
template<typename T>

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@ -21,13 +21,13 @@ template<typename T> class NzVector2
~NzVector2() = default;
T AbsDotProduct(const NzVector2& vec) const;
double Distance(const NzVector2& vec) const;
T Distance(const NzVector2& vec) const;
T DotProduct(const NzVector2& vec) const;
NzVector2 GetNormal() const;
void MakeCeil(const NzVector2& vec);
void MakeFloor(const NzVector2& vec);
double Length() const;
double Normalize();
T Length() const;
T Normalize();
T SquaredDistance(const NzVector2& vec) const;
T SquaredLength() const;

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@ -55,7 +55,7 @@ template<> inline int NzVector2<int>::AbsDotProduct(const NzVector2<int>& vec) c
}
template<typename T>
double NzVector2<T>::Distance(const NzVector2& vec) const
T NzVector2<T>::Distance(const NzVector2& vec) const
{
return std::sqrt(SquaredDistance(vec));
}
@ -96,15 +96,15 @@ void NzVector2<T>::MakeFloor(const NzVector2& vec)
}
template<typename T>
double NzVector2<T>::Length() const
T NzVector2<T>::Length() const
{
return std::sqrt(SquaredLength());
}
template<typename T>
double NzVector2<T>::Normalize()
T NzVector2<T>::Normalize()
{
double length = Length();
T length = Length();
if (length != 0.f)
{

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@ -22,13 +22,13 @@ template<typename T> class NzVector3
T AbsDotProduct(const NzVector3& vec) const;
NzVector3 CrossProduct(const NzVector3& vec) const;
double Distance(const NzVector3& vec) const;
T Distance(const NzVector3& vec) const;
T DotProduct(const NzVector3& vec) const;
NzVector3 GetNormal() const;
void MakeCeil(const NzVector3& vec);
void MakeFloor(const NzVector3& vec);
double Length() const;
double Normalize();
T Length() const;
T Normalize();
T SquaredDistance(const NzVector3& vec) const;
T SquaredLength() const;

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@ -65,7 +65,7 @@ NzVector3<T> NzVector3<T>::CrossProduct(const NzVector3& vec) const
}
template<typename T>
double NzVector3<T>::Distance(const NzVector3& vec) const
T NzVector3<T>::Distance(const NzVector3& vec) const
{
return std::sqrt(SquaredDistance(vec));
}
@ -112,15 +112,15 @@ void NzVector3<T>::MakeFloor(const NzVector3& vec)
}
template<typename T>
double NzVector3<T>::Length() const
T NzVector3<T>::Length() const
{
return std::sqrt(SquaredLength());
}
template<typename T>
double NzVector3<T>::Normalize()
T NzVector3<T>::Normalize()
{
double length = Length();
T length = Length();
if (length != 0.f)
{