mirror of
https://github.com/JoeyDeVries/LearnOpenGL.git
synced 2026-01-10 10:33:23 +08:00
Update GLM to latest version (0.9.9.3). This includes GLM's change of matrices no longer default initializing to the identity matrix. This commit thus also includes the update of all of LearnOpenGL's code to reflect this: all matrices are now constructor-initialized to the identity matrix where relevant.
This commit is contained in:
69
includes/glm/ext/quaternion_exponential.inl
Normal file
69
includes/glm/ext/quaternion_exponential.inl
Normal file
@@ -0,0 +1,69 @@
|
||||
namespace glm
|
||||
{
|
||||
template<typename T, qualifier Q>
|
||||
GLM_FUNC_QUALIFIER qua<T, Q> exp(qua<T, Q> const& q)
|
||||
{
|
||||
vec<3, T, Q> u(q.x, q.y, q.z);
|
||||
T const Angle = glm::length(u);
|
||||
if (Angle < epsilon<T>())
|
||||
return qua<T, Q>();
|
||||
|
||||
vec<3, T, Q> const v(u / Angle);
|
||||
return qua<T, Q>(cos(Angle), sin(Angle) * v);
|
||||
}
|
||||
|
||||
template<typename T, qualifier Q>
|
||||
GLM_FUNC_QUALIFIER qua<T, Q> log(qua<T, Q> const& q)
|
||||
{
|
||||
vec<3, T, Q> u(q.x, q.y, q.z);
|
||||
T Vec3Len = length(u);
|
||||
|
||||
if (Vec3Len < epsilon<T>())
|
||||
{
|
||||
if(q.w > static_cast<T>(0))
|
||||
return qua<T, Q>(log(q.w), static_cast<T>(0), static_cast<T>(0), static_cast<T>(0));
|
||||
else if(q.w < static_cast<T>(0))
|
||||
return qua<T, Q>(log(-q.w), pi<T>(), static_cast<T>(0), static_cast<T>(0));
|
||||
else
|
||||
return qua<T, Q>(std::numeric_limits<T>::infinity(), std::numeric_limits<T>::infinity(), std::numeric_limits<T>::infinity(), std::numeric_limits<T>::infinity());
|
||||
}
|
||||
else
|
||||
{
|
||||
T t = atan(Vec3Len, T(q.w)) / Vec3Len;
|
||||
T QuatLen2 = Vec3Len * Vec3Len + q.w * q.w;
|
||||
return qua<T, Q>(static_cast<T>(0.5) * log(QuatLen2), t * q.x, t * q.y, t * q.z);
|
||||
}
|
||||
}
|
||||
|
||||
template<typename T, qualifier Q>
|
||||
GLM_FUNC_QUALIFIER qua<T, Q> pow(qua<T, Q> const& x, T y)
|
||||
{
|
||||
//Raising to the power of 0 should yield 1
|
||||
//Needed to prevent a division by 0 error later on
|
||||
if(y > -epsilon<T>() && y < epsilon<T>())
|
||||
return qua<T, Q>(1,0,0,0);
|
||||
|
||||
//To deal with non-unit quaternions
|
||||
T magnitude = sqrt(x.x * x.x + x.y * x.y + x.z * x.z + x.w *x.w);
|
||||
|
||||
//Equivalent to raising a real number to a power
|
||||
//Needed to prevent a division by 0 error later on
|
||||
if(abs(x.w / magnitude) > static_cast<T>(1) - epsilon<T>() && abs(x.w / magnitude) < static_cast<T>(1) + epsilon<T>())
|
||||
return qua<T, Q>(pow(x.w, y), 0, 0, 0);
|
||||
|
||||
T Angle = acos(x.w / magnitude);
|
||||
T NewAngle = Angle * y;
|
||||
T Div = sin(NewAngle) / sin(Angle);
|
||||
T Mag = pow(magnitude, y - static_cast<T>(1));
|
||||
|
||||
return qua<T, Q>(cos(NewAngle) * magnitude * Mag, x.x * Div * Mag, x.y * Div * Mag, x.z * Div * Mag);
|
||||
}
|
||||
|
||||
template<typename T, qualifier Q>
|
||||
GLM_FUNC_QUALIFIER qua<T, Q> sqrt(qua<T, Q> const& x)
|
||||
{
|
||||
return pow(x, static_cast<T>(0.5));
|
||||
}
|
||||
}//namespace glm
|
||||
|
||||
|
||||
Reference in New Issue
Block a user