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

@@ -20,18 +20,20 @@ namespace Nz
class Sphere
{
public:
Sphere() = default;
Sphere(T X, T Y, T Z, T Radius);
//Sphere(const Circle<T>& circle);
Sphere(const Vector3<T>& center, T Radius);
Sphere(const T sphere[4]);
template<typename U> explicit Sphere(const Sphere<U>& sphere);
Sphere(const Sphere& sphere) = default;
constexpr Sphere() = default;
constexpr Sphere(T X, T Y, T Z, T Radius);
constexpr Sphere(const Vector3<T>& center, T Radius);
constexpr Sphere(const T sphere[4]);
template<typename U> constexpr explicit Sphere(const Sphere<U>& sphere);
constexpr Sphere(const Sphere&) = default;
constexpr Sphere(Sphere&&) = default;
~Sphere() = default;
bool Contains(T X, T Y, T Z) const;
bool Contains(const Box<T>& box) const;
bool Contains(const Vector3<T>& point) const;
constexpr bool ApproxEqual(const Sphere& sphere, T maxDifference = std::numeric_limits<T>::epsilon()) const;
constexpr bool Contains(T X, T Y, T Z) const;
constexpr bool Contains(const Box<T>& box) const;
constexpr bool Contains(const Vector3<T>& point) const;
T Distance(T X, T Y, T Z) const;
T Distance(const Vector3<T>& point) const;
@@ -39,40 +41,38 @@ namespace Nz
Sphere& ExtendTo(T X, T Y, T Z);
Sphere& ExtendTo(const Vector3<T>& point);
Vector3<T> GetNegativeVertex(const Vector3<T>& normal) const;
Vector3<T> GetPosition() const;
Vector3<T> GetPositiveVertex(const Vector3<T>& normal) const;
constexpr Vector3<T> GetNegativeVertex(const Vector3<T>& normal) const;
constexpr Vector3<T> GetPosition() const;
constexpr Vector3<T> GetPositiveVertex(const Vector3<T>& normal) const;
bool Intersect(const Box<T>& box) const;
bool Intersect(const Sphere& sphere) const;
constexpr bool Intersect(const Box<T>& box) const;
constexpr bool Intersect(const Sphere& sphere) const;
bool IsValid() const;
Sphere& MakeUnit();
Sphere& MakeZero();
Sphere& Set(T X, T Y, T Z, T Radius);
//Sphere& Set(const Circle<T>& rect);
Sphere& Set(const Vector3<T>& center, T Radius);
Sphere& Set(const T sphere[4]);
template<typename U> Sphere& Set(const Sphere<U>& sphere);
constexpr bool IsValid() 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;
Sphere operator*(T scalar) const;
Sphere& operator=(const Sphere& other) = default;
constexpr Sphere operator*(T scalar) const;
Sphere& operator*=(T scalar);
constexpr Sphere& operator=(const Sphere& other) = default;
constexpr Sphere& operator=(Sphere&&) = default;
bool operator==(const Sphere& sphere) const;
bool operator!=(const Sphere& sphere) const;
constexpr Sphere& operator*=(T scalar);
static Sphere Lerp(const Sphere& from, const Sphere& to, T interpolation);
static Sphere Unit();
static Sphere Zero();
constexpr bool operator==(const Sphere& sphere) const;
constexpr bool operator!=(const Sphere& sphere) const;
constexpr bool operator<(const Sphere& sphere) const;
constexpr bool operator<=(const Sphere& sphere) const;
constexpr bool operator>(const Sphere& sphere) const;
constexpr bool operator>=(const Sphere& sphere) const;
static constexpr bool ApproxEqual(const Sphere& lhs, const Sphere& rhs, T maxDifference = std::numeric_limits<T>::epsilon());
static constexpr Sphere Lerp(const Sphere& from, const Sphere& to, T interpolation);
static constexpr Sphere Unit();
static constexpr Sphere Zero();
T x, y, z, radius;
};