Improve math module (#396)

* Improve math module

- Mark almost everything constexpr
- Equality (a == b) is now exact, down to the bit level. If you want approximate equality use the new ApproxEqual method/static method
- Rename Nz::Extend to Nz::Extent
- Removed Make[] and Set[] methods in favor of their static counterpart and operator=
This commit is contained in:
Jérôme Leclercq
2023-06-02 22:30:51 +02:00
committed by GitHub
parent de88873c35
commit 1a55b550fb
64 changed files with 2200 additions and 3758 deletions

View File

@@ -20,75 +20,70 @@ namespace Nz
template<typename T> class Quaternion
{
public:
Quaternion() = default;
Quaternion(T W, T X, T Y, T Z);
constexpr Quaternion() = default;
constexpr Quaternion(T W, T X, T Y, T Z);
template<AngleUnit Unit> Quaternion(const Angle<Unit, T>& angle);
Quaternion(const EulerAngles<T>& angles);
Quaternion(RadianAngle<T> angle, const Vector3<T>& axis);
Quaternion(const T quat[4]);
//Quaternion(const Matrix3<T>& mat);
template<typename U> explicit Quaternion(const Quaternion<U>& quat);
Quaternion(const Quaternion& quat) = default;
constexpr Quaternion(RadianAngle<T> angle, const Vector3<T>& axis);
constexpr Quaternion(const T quat[4]);
template<typename U> constexpr explicit Quaternion(const Quaternion<U>& quat);
constexpr Quaternion(const Quaternion&) = default;
constexpr Quaternion(Quaternion&&) = default;
~Quaternion() = default;
constexpr bool ApproxEqual(const Quaternion& quat, T maxDifference = std::numeric_limits<T>::epsilon()) const;
Quaternion& ComputeW();
Quaternion& Conjugate();
constexpr Quaternion& Conjugate();
T DotProduct(const Quaternion& vec) const;
constexpr T DotProduct(const Quaternion& vec) const;
Quaternion GetConjugate() const;
constexpr Quaternion GetConjugate() const;
Quaternion GetInverse() const;
Quaternion GetNormal(T* length = nullptr) const;
Quaternion& Inverse();
Quaternion& MakeIdentity();
Quaternion& MakeRotationBetween(const Vector3<T>& from, const Vector3<T>& to);
Quaternion& MakeZero();
T Magnitude() const;
Quaternion& Normalize(T* length = nullptr);
Quaternion& Set(T W, T X, T Y, T Z);
template<AngleUnit Unit> Quaternion& Set(const Angle<Unit, T>& angle);
Quaternion& Set(const EulerAngles<T>& angles);
Quaternion& Set(RadianAngle<T> angle, const Vector3<T>& normalizedAxis);
Quaternion& Set(const T quat[4]);
//Quaternion& Set(const Matrix3<T>& mat);
template<typename U> Quaternion& Set(const Quaternion<U>& quat);
T SquaredMagnitude() const;
constexpr T SquaredMagnitude() const;
RadianAngle<T> To2DAngle() const;
EulerAngles<T> ToEulerAngles() const;
//Matrix3<T> ToRotationMatrix() const;
std::string ToString() const;
Quaternion& operator=(const Quaternion& quat) = default;
constexpr Quaternion& operator=(const Quaternion& quat) = default;
constexpr Quaternion& operator=(Quaternion&&) = default;
Quaternion operator+(const Quaternion& quat) const;
Quaternion operator*(const Quaternion& quat) const;
Vector3<T> operator*(const Vector3<T>& vec) const;
Quaternion operator*(T scale) const;
Quaternion operator/(const Quaternion& quat) const;
constexpr Quaternion operator+(const Quaternion& quat) const;
constexpr Quaternion operator*(const Quaternion& quat) const;
constexpr Vector3<T> operator*(const Vector3<T>& vec) const;
constexpr Quaternion operator*(T scale) const;
constexpr Quaternion operator/(const Quaternion& quat) const;
Quaternion& operator+=(const Quaternion& quat);
Quaternion& operator*=(const Quaternion& quat);
Quaternion& operator*=(T scale);
Quaternion& operator/=(const Quaternion& quat);
constexpr Quaternion& operator+=(const Quaternion& quat);
constexpr Quaternion& operator*=(const Quaternion& quat);
constexpr Quaternion& operator*=(T scale);
constexpr Quaternion& operator/=(const Quaternion& quat);
bool operator==(const Quaternion& quat) const;
bool operator!=(const Quaternion& quat) const;
constexpr bool operator==(const Quaternion& quat) const;
constexpr bool operator!=(const Quaternion& quat) const;
constexpr bool operator<(const Quaternion& quat) const;
constexpr bool operator<=(const Quaternion& quat) const;
constexpr bool operator>(const Quaternion& quat) const;
constexpr bool operator>=(const Quaternion& quat) const;
static Quaternion Identity();
static Quaternion Lerp(const Quaternion& from, const Quaternion& to, T interpolation);
static constexpr bool ApproxEqual(const Quaternion& lhs, const Quaternion& rhs, T maxDifference = std::numeric_limits<T>::epsilon());
static constexpr Quaternion Identity();
static constexpr Quaternion Lerp(const Quaternion& from, const Quaternion& to, T interpolation);
static Quaternion LookAt(const Vector3<T>& forward, const Vector3<T>& up);
static Quaternion Normalize(const Quaternion& quat, T* length = nullptr);
static Quaternion RotationBetween(const Vector3<T>& from, const Vector3<T>& to);
static Quaternion Mirror(Quaternion quat, const Vector3<T>& axis);
static Quaternion Slerp(const Quaternion& from, const Quaternion& to, T interpolation);
static Quaternion Zero();
static constexpr Quaternion Zero();
T w, x, y, z;
};