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

@@ -24,84 +24,75 @@ namespace Nz
class Vector2
{
public:
Vector2() = default;
Vector2(T X, T Y);
explicit Vector2(T scale);
template<typename U> explicit Vector2(const Vector2<U>& vec);
Vector2(const Vector2& vec) = default;
explicit Vector2(const Vector3<T>& vec);
explicit Vector2(const Vector4<T>& vec);
constexpr Vector2() = default;
constexpr Vector2(T X, T Y);
constexpr explicit Vector2(T scale);
template<typename U> constexpr explicit Vector2(const Vector2<U>& vec);
constexpr Vector2(const Vector2&) = default;
constexpr Vector2(Vector2&&) = default;
constexpr explicit Vector2(const Vector3<T>& vec);
constexpr explicit Vector2(const Vector4<T>& vec);
~Vector2() = default;
T AbsDotProduct(const Vector2& vec) const;
RadianAngle<T> AngleBetween(const Vector2& vec) const;
constexpr bool ApproxEqual(const Vector2& vec, T maxDifference = std::numeric_limits<T>::epsilon()) const;
template<typename U = T>
U Distance(const Vector2& vec) const;
T DotProduct(const Vector2& vec) const;
template<typename U = T> U Distance(const Vector2& vec) const;
constexpr T DotProduct(const Vector2& vec) const;
T GetLength() const;
float GetLengthf() const;
template<typename U = T> T GetLength() const;
Vector2 GetNormal(T* length = nullptr) const;
T GetSquaredLength() const;
constexpr T GetSquaredLength() const;
Vector2& MakeUnit();
Vector2& MakeUnitX();
Vector2& MakeUnitY();
Vector2& MakeZero();
Vector2& Maximize(const Vector2& vec);
Vector2& Minimize(const Vector2& vec);
constexpr Vector2& Maximize(const Vector2& vec);
constexpr Vector2& Minimize(const Vector2& vec);
Vector2& Normalize(T* length = nullptr);
Vector2& Set(T X, T Y);
Vector2& Set(T scale);
Vector2& Set(const T* vec);
Vector2& Set(const Vector3<T>& vec);
Vector2& Set(const Vector4<T>& vec);
template<typename U> Vector2& Set(const Vector2<U>& vec);
T SquaredDistance(const Vector2& vec) const;
constexpr T SquaredDistance(const Vector2& vec) const;
std::string ToString() const;
T& operator[](std::size_t i);
T operator[](std::size_t i) const;
constexpr T& operator[](std::size_t i);
constexpr T operator[](std::size_t i) const;
const Vector2& operator+() const;
Vector2 operator-() const;
constexpr const Vector2& operator+() const;
constexpr Vector2 operator-() const;
Vector2 operator+(const Vector2& vec) const;
Vector2 operator-(const Vector2& vec) const;
Vector2 operator*(const Vector2& vec) const;
Vector2 operator*(T scale) const;
Vector2 operator/(const Vector2& vec) const;
Vector2 operator/(T scale) const;
Vector2& operator=(const Vector2& other) = default;
constexpr Vector2 operator+(const Vector2& vec) const;
constexpr Vector2 operator-(const Vector2& vec) const;
constexpr Vector2 operator*(const Vector2& vec) const;
constexpr Vector2 operator*(T scale) const;
constexpr Vector2 operator/(const Vector2& vec) const;
constexpr Vector2 operator/(T scale) const;
Vector2& operator+=(const Vector2& vec);
Vector2& operator-=(const Vector2& vec);
Vector2& operator*=(const Vector2& vec);
Vector2& operator*=(T scale);
Vector2& operator/=(const Vector2& vec);
Vector2& operator/=(T scale);
constexpr Vector2& operator=(const Vector2&) = default;
constexpr Vector2& operator=(Vector2&&) = default;
bool operator==(const Vector2& vec) const;
bool operator!=(const Vector2& vec) const;
bool operator<(const Vector2& vec) const;
bool operator<=(const Vector2& vec) const;
bool operator>(const Vector2& vec) const;
bool operator>=(const Vector2& vec) const;
constexpr Vector2& operator+=(const Vector2& vec);
constexpr Vector2& operator-=(const Vector2& vec);
constexpr Vector2& operator*=(const Vector2& vec);
constexpr Vector2& operator*=(T scale);
constexpr Vector2& operator/=(const Vector2& vec);
constexpr Vector2& operator/=(T scale);
constexpr bool operator==(const Vector2& vec) const;
constexpr bool operator!=(const Vector2& vec) const;
constexpr bool operator<(const Vector2& vec) const;
constexpr bool operator<=(const Vector2& vec) const;
constexpr bool operator>(const Vector2& vec) const;
constexpr bool operator>=(const Vector2& vec) const;
static constexpr bool ApproxEqual(const Vector2& lhs, const Vector2& rhs, T maxDifference = std::numeric_limits<T>::epsilon());
template<typename U = T> static U Distance(const Vector2& vec1, const Vector2& vec2);
static T DotProduct(const Vector2& vec1, const Vector2& vec2);
static Vector2 Lerp(const Vector2& from, const Vector2& to, T interpolation);
static constexpr T DotProduct(const Vector2& vec1, const Vector2& vec2);
static constexpr Vector2 Lerp(const Vector2& from, const Vector2& to, T interpolation);
static Vector2 Normalize(const Vector2& vec);
static Vector2 Unit();
static Vector2 UnitX();
static Vector2 UnitY();
static Vector2 Zero();
static constexpr Vector2 Unit();
static constexpr Vector2 UnitX();
static constexpr Vector2 UnitY();
static constexpr Vector2 Zero();
T x, y;
};
@@ -120,8 +111,8 @@ namespace Nz
template<typename T> std::ostream& operator<<(std::ostream& out, const Vector2<T>& vec);
template<typename T> Vector2<T> operator*(T scale, const Nz::Vector2<T>& vec);
template<typename T> Vector2<T> operator/(T scale, const Nz::Vector2<T>& vec);
template<typename T> constexpr Vector2<T> operator*(T scale, const Nz::Vector2<T>& vec);
template<typename T> constexpr Vector2<T> operator/(T scale, const Nz::Vector2<T>& vec);
}
namespace std