math.hpp

#pragma once
 
#include <litefx/core.h>
 
#if !defined (LITEFX_MATH_API)
#  if defined(LiteFX_Math_EXPORTS) && (defined _WIN32 || defined WINCE)
#    define LITEFX_MATH_API __declspec(dllexport)
#  elif (defined(LiteFX_Math_EXPORTS) || defined(__APPLE__)) && defined __GNUC__ && __GNUC__ >= 4
#    define LITEFX_MATH_API __attribute__ ((visibility ("default")))
#  elif !defined(LiteFX_Math_EXPORTS) && (defined _WIN32 || defined WINCE)
#    define LITEFX_MATH_API __declspec(dllimport)
#  endif
#endif 
 
#ifndef LITEFX_MATH_API
#  define LITEFX_MATH_API
#endif
 
#if defined(LITEFX_BUILD_WITH_GLM)
#include <glm/glm.hpp>
#endif
 
#if defined(LITEFX_BUILD_WITH_DIRECTX_MATH)
#include <DirectXMath.h>
#endif
 
#include <litefx/vector.hpp>
#include <litefx/matrix.hpp>
 
namespace LiteFX::Math {
    using namespace LiteFX;

    using Byte = std::byte;

    using UInt8 = uint8_t;

    using Int16 = int16_t;

    using UInt16 = uint16_t;

    using Int32 = int32_t;

    using UInt32 = uint32_t;

    using Int64 = int64_t;

    using UInt64 = uint64_t;

    using Float = float_t;

    using Double = double_t;

    constexpr Byte operator ""_b(unsigned long long int arg) noexcept {
        return static_cast<Byte>(arg);
    }

    constexpr UInt8 operator ""_ui8(unsigned long long int arg) noexcept {
        return static_cast<UInt8>(arg);
    }

    constexpr Int16 operator ""_i16(unsigned long long int arg) noexcept {
        return static_cast<Int16>(arg);
    }

    constexpr UInt16 operator ""_ui16(unsigned long long int arg) noexcept {
        return static_cast<UInt16>(arg);
    }

    constexpr Int32 operator ""_i32(unsigned long long int arg) noexcept {
        return static_cast<Int32>(arg);
    }

    constexpr UInt32 operator ""_ui32(unsigned long long int arg) noexcept {
        return static_cast<UInt32>(arg);
    }

    constexpr Int64 operator ""_i64(unsigned long long int arg) noexcept {
        return static_cast<Int64>(arg);
    }

    constexpr UInt64 operator ""_ui64(unsigned long long int arg) noexcept {
        return static_cast<UInt64>(arg);
    }

    constexpr Float operator ""_f32(long double arg) noexcept {
        return static_cast<Float>(arg);
    }

    constexpr Double operator ""_f64(long double arg) noexcept {
        return static_cast<Double>(arg);
    }

    template <typename T = UInt32>
    static constexpr T align(T size, T alignment) { 
        return (size + alignment - 1) & ~(alignment - 1); 
    }
 
#pragma region Vector
    class LITEFX_MATH_API Vector1f : public Vector<Float, 1> {
    public:
        using Vector::Vector;
 
#if defined(LITEFX_BUILD_WITH_GLM)
    public:
        Vector1f(const glm::f32vec1& v) noexcept;

        Vector1f(glm::f32vec1&& v) noexcept;

        operator glm::f32vec1() const noexcept;
#endif
 
#if defined(LITEFX_BUILD_WITH_DIRECTX_MATH)
    public:
        Vector1f(const DirectX::XMVECTOR& v) noexcept;

        Vector1f(DirectX::XMVECTOR&& v) noexcept;

        operator DirectX::XMVECTOR() const noexcept;
#endif
    };
 
    // NOTE: Vector1i unsupported, due to lack of `XMStoreSInt` overload for scalar signed integers.

    class LITEFX_MATH_API Vector1u : public Vector<UInt32, 1> {
    public:
        using Vector::Vector;
 
#if defined(LITEFX_BUILD_WITH_GLM)
    public:
        Vector1u(const glm::u32vec1& v) noexcept;

        Vector1u(glm::u32vec1&& v) noexcept;

        operator glm::u32vec1() const noexcept;
#endif
 
#if defined(LITEFX_BUILD_WITH_DIRECTX_MATH)
    public:
        Vector1u(const DirectX::XMVECTOR& v) noexcept;

        Vector1u(DirectX::XMVECTOR&& v) noexcept;

        operator DirectX::XMVECTOR() const noexcept;
#endif
    };

    class LITEFX_MATH_API Vector2f : public Vector<Float, 2> {
    public:
        using Vector::Vector;
 
#if defined(LITEFX_BUILD_WITH_GLM)
    public:
        Vector2f(const glm::f32vec2& v) noexcept;

        Vector2f(glm::f32vec2&& v) noexcept;

        operator glm::f32vec2() const noexcept;
#endif
 
#if defined(LITEFX_BUILD_WITH_DIRECTX_MATH)
    public:
        Vector2f(const DirectX::XMVECTOR& v) noexcept;

        Vector2f(DirectX::XMVECTOR&& v) noexcept;

        Vector2f(const DirectX::XMFLOAT2& v) noexcept;

        Vector2f(DirectX::XMFLOAT2&& v) noexcept;

        operator DirectX::XMVECTOR() const noexcept;

        operator DirectX::XMFLOAT2() const noexcept;
#endif
    };

    class LITEFX_MATH_API Vector2u : public Vector<UInt32, 2> {
    public:
        using Vector::Vector;
 
#if defined(LITEFX_BUILD_WITH_GLM)
    public:
        Vector2u(const glm::u32vec2& v) noexcept;

        Vector2u(glm::u32vec2&& v) noexcept;

        operator glm::u32vec2() const noexcept;
#endif
 
#if defined(LITEFX_BUILD_WITH_DIRECTX_MATH)
    public:
        Vector2u(const DirectX::XMVECTOR& v) noexcept;

        Vector2u(DirectX::XMVECTOR&& v) noexcept;

        Vector2u(const DirectX::XMUINT2& v) noexcept;

        Vector2u(DirectX::XMUINT2&& v) noexcept;

        operator DirectX::XMVECTOR() const noexcept;

        operator DirectX::XMUINT2() const noexcept;
#endif
    };

    class LITEFX_MATH_API Vector2i : public Vector<Int32, 2> {
    public:
        using Vector::Vector;
 
#if defined(LITEFX_BUILD_WITH_GLM)
    public:
        Vector2i(const glm::i32vec2& v) noexcept;

        Vector2i(glm::i32vec2&& v) noexcept;

        operator glm::i32vec2() const noexcept;
#endif
 
#if defined(LITEFX_BUILD_WITH_DIRECTX_MATH)
    public:
        Vector2i(const DirectX::XMVECTOR& v) noexcept;

        Vector2i(DirectX::XMVECTOR&& v) noexcept;

        Vector2i(const DirectX::XMINT2& v) noexcept;

        Vector2i(DirectX::XMINT2&& v) noexcept;

        operator DirectX::XMVECTOR() const noexcept;

        operator DirectX::XMINT2() const noexcept;
#endif
    };

    class LITEFX_MATH_API Vector3f : public Vector<Float, 3> {
    public:
        using Vector::Vector;
 
#if defined(LITEFX_BUILD_WITH_GLM)
    public:
        Vector3f(const glm::f32vec3& v) noexcept;
        Vector3f(glm::f32vec3&& v) noexcept;
        operator glm::f32vec3() const noexcept;
#endif
 
#if defined(LITEFX_BUILD_WITH_DIRECTX_MATH)
    public:
        Vector3f(const DirectX::XMVECTOR& v) noexcept;
        Vector3f(DirectX::XMVECTOR&& v) noexcept;
        Vector3f(const DirectX::XMFLOAT3& v) noexcept;
        Vector3f(DirectX::XMFLOAT3&& v) noexcept;
        operator DirectX::XMVECTOR() const noexcept;
        operator DirectX::XMFLOAT3() const noexcept;
#endif
    };
 
    class LITEFX_MATH_API Vector3u : public Vector<UInt32, 3> {
    public:
        using Vector::Vector;
 
#if defined(LITEFX_BUILD_WITH_GLM)
    public:
        Vector3u(const glm::u32vec3& v) noexcept;
        Vector3u(glm::u32vec3&& v) noexcept;
        operator glm::u32vec3() const noexcept;
#endif
 
#if defined(LITEFX_BUILD_WITH_DIRECTX_MATH)
    public:
        Vector3u(const DirectX::XMVECTOR& v) noexcept;
        Vector3u(DirectX::XMVECTOR&& v) noexcept;
        Vector3u(const DirectX::XMUINT3& v) noexcept;
        Vector3u(DirectX::XMUINT3&& v) noexcept;
        operator DirectX::XMVECTOR() const noexcept;
        operator DirectX::XMUINT3() const noexcept;
#endif
    };
 
    class LITEFX_MATH_API Vector3i : public Vector<Int32, 3> {
    public:
        using Vector::Vector;
 
#if defined(LITEFX_BUILD_WITH_GLM)
    public:
        Vector3i(const glm::i32vec3& v) noexcept;
        Vector3i(glm::i32vec3&& v) noexcept;
        operator glm::i32vec3() const noexcept;
#endif
 
#if defined(LITEFX_BUILD_WITH_DIRECTX_MATH)
    public:
        Vector3i(const DirectX::XMVECTOR& v) noexcept;
        Vector3i(DirectX::XMVECTOR&& v) noexcept;
        Vector3i(const DirectX::XMINT3& v) noexcept;
        Vector3i(DirectX::XMINT3&& v) noexcept;
        operator DirectX::XMVECTOR() const noexcept;
        operator DirectX::XMINT3() const noexcept;
#endif
    };
 
    class LITEFX_MATH_API Vector4f : public Vector<Float, 4> {
    public:
        using Vector::Vector;
 
#if defined(LITEFX_BUILD_WITH_GLM)
    public:
        Vector4f(const glm::f32vec4& v) noexcept;
        Vector4f(glm::f32vec4&& v) noexcept;
        operator glm::f32vec4() const noexcept;
#endif
 
#if defined(LITEFX_BUILD_WITH_DIRECTX_MATH)
    public:
        Vector4f(const DirectX::XMVECTOR& v) noexcept;
        Vector4f(DirectX::XMVECTOR&& v) noexcept;
        Vector4f(const DirectX::XMFLOAT4& v) noexcept;
        Vector4f(DirectX::XMFLOAT4&& v) noexcept;
        operator DirectX::XMVECTOR() const noexcept;
        operator DirectX::XMFLOAT4() const noexcept;
#endif
    };
 
    class LITEFX_MATH_API Vector4u : public Vector<UInt32, 4> {
    public:
        using Vector::Vector;
 
#if defined(LITEFX_BUILD_WITH_GLM)
    public:
        Vector4u(const glm::u32vec4& v) noexcept;
        Vector4u(glm::u32vec4&& v) noexcept;
        operator glm::u32vec4() const noexcept;
#endif
 
#if defined(LITEFX_BUILD_WITH_DIRECTX_MATH)
    public:
        Vector4u(const DirectX::XMVECTOR& v) noexcept;
        Vector4u(DirectX::XMVECTOR&& v) noexcept;
        Vector4u(const DirectX::XMUINT4& v) noexcept;
        Vector4u(DirectX::XMUINT4&& v) noexcept;
        operator DirectX::XMVECTOR() const noexcept;
        operator DirectX::XMUINT4() const noexcept;
#endif
    };
 
    class LITEFX_MATH_API Vector4i : public Vector<Int32, 4> {
    public:
        using Vector::Vector;
 
#if defined(LITEFX_BUILD_WITH_GLM)
    public:
        Vector4i(const glm::i32vec4& v) noexcept;
        Vector4i(glm::i32vec4&& v) noexcept;
        operator glm::i32vec4() const noexcept;
#endif
 
#if defined(LITEFX_BUILD_WITH_DIRECTX_MATH)
    public:
        Vector4i(const DirectX::XMVECTOR& v) noexcept;
        Vector4i(DirectX::XMVECTOR&& v) noexcept;
        Vector4i(const DirectX::XMINT4& v) noexcept;
        Vector4i(DirectX::XMINT4&& v) noexcept;
        operator DirectX::XMVECTOR() const noexcept;
        operator DirectX::XMINT4() const noexcept;
#endif
    };

    namespace Vectors {
        using ByteVector1 = TVector1<UInt8>;

        using ByteVector2 = TVector2<UInt8>;

        using ByteVector3 = TVector3<UInt8>;

        using ByteVector4 = TVector4<UInt8>;

        using Int16Vector1 = TVector1<Int16>;

        using Int16Vector2 = TVector2<Int16>;

        using Int16Vector3 = TVector3<Int16>;

        using Int16Vector4 = TVector4<Int16>;

        using UInt16Vector1 = TVector1<UInt16>;

        using UInt16Vector2 = TVector2<UInt16>;

        using UInt16Vector3 = TVector3<UInt16>;

        using UInt16Vector4 = TVector4<UInt16>;

        using Int32Vector1 = TVector1<Int32>;

        using Int32Vector2 = TVector2<Int32>;

        using Int32Vector3 = TVector3<Int32>;

        using Int32Vector4 = TVector4<Int32>;

        using UInt32Vector1 = TVector1<UInt32>;

        using UInt32Vector2 = TVector2<UInt32>;

        using UInt32Vector3 = TVector3<UInt32>;

        using UInt32Vector4 = TVector4<UInt32>;

        using Int64Vector1 = TVector1<Int64>;

        using Int64Vector2 = TVector2<Int64>;

        using Int64Vector3 = TVector3<Int64>;

        using Int64Vector4 = TVector4<Int64>;

        using UInt64Vector1 = TVector1<UInt64>;

        using UInt64Vector2 = TVector2<UInt64>;

        using UInt64Vector3 = TVector3<UInt64>;

        using UInt64Vector4 = TVector4<UInt64>;

        using FloatVector1 = TVector1<Float>;

        using FloatVector2 = TVector2<Float>;

        using FloatVector3 = TVector3<Float>;

        using FloatVector4 = TVector4<Float>;

        using DoubleVector1 = TVector1<Double>;

        using DoubleVector2 = TVector2<Double>;

        using DoubleVector3 = TVector3<Double>;

        using DoubleVector4 = TVector4<Double>;
    }
#pragma endregion
 
#pragma region Size
    class LITEFX_MATH_API Size4d : public Vector<size_t, 4> {
    public:
        Size4d() noexcept;
        Size4d(size_t v) noexcept;
        Size4d(size_t w, size_t h, size_t d, size_t a) noexcept;
        Size4d(const Size4d&);
        Size4d(Size4d&&) noexcept;
        ~Size4d() noexcept = default;
 
    public:
        Size4d& operator=(const Size4d& _other);
        Size4d& operator=(Size4d&& _other) noexcept;
        Size4d operator/(size_t s) noexcept;
        Size4d& operator/=(size_t s) noexcept;
        Size4d operator*(size_t s) noexcept;
        Size4d& operator*=(size_t s) noexcept;
        Size4d operator+(const Size4d& s) noexcept;
        Size4d& operator+=(const Size4d& s) noexcept;
        Size4d operator-(const Size4d& s) noexcept;
        Size4d& operator-=(const Size4d& s) noexcept;
 
    public:
        size_t width() const noexcept;
        size_t& width() noexcept;
        size_t height() const noexcept;
        size_t& height() noexcept;
        size_t depth() const noexcept;
        size_t& depth() noexcept;
        size_t alpha() const noexcept;
        size_t& alpha() noexcept;
    };
 
    class LITEFX_MATH_API Size3d : public Vector<size_t, 3> {
    public:
        Size3d() noexcept;
        Size3d(size_t v) noexcept;
        Size3d(size_t w, size_t h, size_t d) noexcept;
        Size3d(const Size3d&);
        Size3d(Size3d&&) noexcept;
        ~Size3d() noexcept = default;
 
    public:
        Size3d& operator=(const Size3d& _other);
        Size3d& operator=(Size3d&& _other) noexcept;
        operator Size4d() const noexcept;
        Size3d operator/(size_t s) noexcept;
        Size3d& operator/=(size_t s) noexcept;
        Size3d operator*(size_t s) noexcept;
        Size3d& operator*=(size_t s) noexcept;
        Size3d operator+(const Size3d& s) noexcept;
        Size3d& operator+=(const Size3d& s) noexcept;
        Size3d operator-(const Size3d& s) noexcept;
        Size3d& operator-=(const Size3d& s) noexcept;
 
    public:
        size_t width() const noexcept;
        size_t& width() noexcept;
        size_t height() const noexcept;
        size_t& height() noexcept;
        size_t depth() const noexcept;
        size_t& depth() noexcept;
    };
 
    class LITEFX_MATH_API Size2d : public Vector<size_t, 2> {
    public:
        Size2d() noexcept;
        Size2d(size_t v) noexcept;
        Size2d(size_t w, size_t h) noexcept;
        Size2d(const Size2d&);
        Size2d(Size2d&&) noexcept;
        ~Size2d() noexcept = default;
 
    public:
        Size2d& operator=(const Size2d& _other);
        Size2d& operator=(Size2d&& _other) noexcept;
        operator Size3d() const noexcept;
        operator Size4d() const noexcept;
        Size2d operator/(size_t s) noexcept;
        Size2d& operator/=(size_t s) noexcept;
        Size2d operator*(size_t s) noexcept;
        Size2d& operator*=(size_t s) noexcept;
        Size2d operator+(const Size2d& s) noexcept;
        Size2d& operator+=(const Size2d& s) noexcept;
        Size2d operator-(const Size2d& s) noexcept;
        Size2d& operator-=(const Size2d& s) noexcept;
 
    public:
        size_t width() const noexcept;
        size_t& width() noexcept;
        size_t height() const noexcept;
        size_t& height() noexcept;
    };
#pragma endregion
 
#pragma region Rectangle
    class LITEFX_MATH_API Rect : public Vector<size_t, 4> {
    public:
        Rect() noexcept;
        Rect(const Vector<size_t, 2>& pos, size_t w, size_t h) noexcept;
        Rect(size_t x, size_t y, size_t w, size_t h) noexcept;
        Rect(const Rect&);
        Rect(Rect&&) noexcept;
        ~Rect() noexcept = default;
 
    public:
        Rect& operator=(const Rect& _other);
        Rect& operator=(Rect&& _other) noexcept;
 
    public:
        Vector<size_t, 2> position() const noexcept;
        Size2d extent() const noexcept;
        size_t width() const noexcept;
        size_t& width() noexcept;
        size_t height() const noexcept;
        size_t& height() noexcept;
    };
 
    class LITEFX_MATH_API RectI : public Vector<Int32, 4> {
    public:
        RectI() noexcept;
        RectI(const Vector<Int32, 2>& pos, Int32 w, Int32 h) noexcept;
        RectI(Int32 x, Int32 y, Int32 w, Int32 h) noexcept;
        RectI(const RectI&);
        RectI(RectI&&) noexcept;
        ~RectI() noexcept = default;
 
    public:
        RectI& operator=(const RectI& _other);
        RectI& operator=(RectI&& _other) noexcept;
 
    public:
        Vector<Int32, 2> position() const noexcept;
        Size2d extent() const noexcept;
        Int32 width() const noexcept;
        Int32& width() noexcept;
        Int32 height() const noexcept;
        Int32& height() noexcept;
    };
 
    class LITEFX_MATH_API RectF : public Vector<Float, 4> {
    public:
        RectF() noexcept;
        RectF(const Vector<Float, 2>& pos, Float w, Float h) noexcept;
        RectF(Float x, Float y, Float w, Float h) noexcept;
        RectF(const RectF&);
        RectF(RectF&&) noexcept;
        ~RectF() noexcept = default;
 
    public:
        RectF& operator=(const RectF& _other);
        RectF& operator=(RectF&& _other) noexcept;
 
    public:
        Vector<Float, 2> position() const noexcept;
        Size2d extent() const noexcept;
        Float width() const noexcept;
        Float& width() noexcept;
        Float height() const noexcept;
        Float& height() noexcept;
    };
#pragma endregion
}